TSTP Solution File: SEU364+2 by SRASS---0.1
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%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU364+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 04:04:38 EST 2010
% Result : Theorem 166.35s
% Output : Solution 216.81s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP11106/SEU364+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~s1_xboole_0__e11_2_1__waybel_0__1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
% CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... cc2_finset_1:
% CSA axiom cc2_finset_1 found
% Looking for CSA axiom ... existence_l1_orders_2:
% existence_m1_subset_1:
% CSA axiom existence_m1_subset_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... existence_l1_orders_2:
% l3_subset_1:
% CSA axiom l3_subset_1 found
% Looking for CSA axiom ... l71_subset_1:
% CSA axiom l71_subset_1 found
% Looking for CSA axiom ... s1_tarski__e11_2_1__waybel_0__1:
% CSA axiom s1_tarski__e11_2_1__waybel_0__1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :s1_tarski__e11_2_1__waybel_0__1:l71_subset_1:l3_subset_1:existence_m1_subset_1:cc2_finset_1:antisymmetry_r2_hidden (6)
% Unselected axioms are ... :existence_l1_orders_2:t1_subset:t2_tarski:t3_ordinal1:t4_subset:t7_tarski:d9_lattice3:t26_orders_2:rc3_finset_1:rc4_finset_1:t5_subset:d1_zfmisc_1:dt_k1_yellow_0:dt_k2_yellow_0:dt_k3_yellow_0:t54_subset_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:commutativity_k4_subset_1:commutativity_k5_subset_1:idempotence_k4_subset_1:idempotence_k5_subset_1:t18_finset_1:t5_tex_2:d7_yellow_0:l40_tops_1:s1_tarski__e4_7_2__tops_2__1:t6_yellow_0:rc1_subset_1:rc2_subset_1:rc5_struct_0:t13_tops_2:t3_subset:d2_subset_1:d8_lattice3:reflexivity_r3_orders_2:t2_subset:cc16_membered:dt_k3_subset_1:dt_k7_setfam_1:t25_orders_2:t60_yellow_0:d1_xboole_0:d8_setfam_1:dt_k1_pcomps_1:dt_k2_subset_1:dt_k4_subset_1:dt_k5_setfam_1:dt_k5_subset_1:dt_k6_setfam_1:dt_k6_subset_1:rc2_tex_2:t50_subset_1:d1_tarski:d3_xboole_0:d4_xboole_0:redefinition_k1_pcomps_1:s1_tarski__e16_22__wellord2__1:s1_tarski__e6_22__wellord2__1:t24_ordinal1:t99_zfmisc_1:d1_enumset1:d2_tarski:d2_xboole_0:d3_ordinal1:d4_tarski:d5_orders_2:d9_yellow_0:t5_tops_2:fraenkel_a_2_2_lattice3:s1_tarski__e4_7_1__tops_2__1:t61_yellow_0:d4_yellow_0:dt_k15_lattice3:dt_k16_lattice3:dt_k2_lattices:dt_k1_lattices:dt_k1_pre_topc:dt_k1_tops_1:dt_k2_pre_topc:dt_k5_lattices:dt_k6_pre_topc:dt_u1_pre_topc:t15_yellow_0:d5_subset_1:redefinition_r3_orders_2:t10_tops_2:t13_finset_1:t46_setfam_1:cc1_finset_1:d16_lattice3:d17_lattice3:d9_orders_2:dt_m1_connsp_2:rc1_finset_1:redefinition_k4_subset_1:redefinition_k5_setfam_1:redefinition_k5_subset_1:redefinition_k6_setfam_1:redefinition_k6_subset_1:d1_tops_2:d2_tops_2:d3_lattice3:d5_pre_topc:d8_yellow_0:t30_yellow_0:commutativity_k3_lattices:commutativity_k4_lattices:d10_xboole_0:d13_lattices:d1_connsp_2:d3_lattices:d3_tarski:dt_l1_orders_2:existence_l1_lattices:existence_l1_pre_topc:existence_l1_struct_0:existence_l2_lattices:existence_l3_lattices:existence_m1_relset_1:existence_m2_relset_1:fc10_finset_1:fc11_finset_1:fc12_finset_1:fc14_finset_1:fc1_subset_1:fc9_finset_1:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:symmetry_r1_xboole_0:t15_finset_1:t15_pre_topc:t1_xboole_1:t22_pre_topc:t26_lattices:t2_xboole_1:t3_xboole_1:t5_connsp_2:t7_boole:t91_tmap_1:dt_m1_yellow_0:existence_m1_yellow_0:rc1_orders_2:rc2_orders_2:s1_tarski__e1_40__pre_topc__1:s1_tarski__e2_37_1_1__pre_topc__1:s1_tarski__e4_7_2__tops_2__2:s1_xboole_0__e1_40__pre_topc__1:s1_xboole_0__e4_7_2__tops_2__1:s3_subset_1__e1_40__pre_topc:d13_pre_topc:rc3_struct_0:cc1_relset_1:d1_struct_0:dt_u1_orders_2:fc1_struct_0:rc7_pre_topc:t44_yellow_0:d1_relat_1:d2_relat_1:existence_m1_connsp_2:s1_funct_1__e4_7_2__tops_2__1:s1_tarski__e6_27__finset_1__1:t44_tops_1:t45_pre_topc:t48_pre_topc:abstractness_v1_orders_2:cc17_membered:d10_yellow_0:d4_lattice3:dt_k3_lattices:dt_k4_lattices:dt_k4_relset_1:dt_k5_relset_1:dt_m2_relset_1:rc1_tops_1:rc6_pre_topc:redefinition_k10_filter_1:s1_xboole_0__e2_37_1_1__pre_topc__1:s1_xboole_0__e6_22__wellord2:s3_subset_1__e2_37_1_1__pre_topc:t23_ordinal1:t44_pre_topc:d16_lattices:d1_funct_1:d1_lattices:d1_tops_1:d2_lattices:d8_lattices:d8_pre_topc:fraenkel_a_1_0_filter_1:fraenkel_a_2_3_lattice3:redefinition_k3_lattices:redefinition_k4_lattices:s1_tarski__e4_27_3_1__finset_1__1:s1_xboole_0__e4_27_3_1__finset_1:t10_ordinal1:t3_xboole_0:t52_pre_topc:t55_tops_1:d2_zfmisc_1:s1_tarski__e8_6__wellord2__1:s1_xboole_0__e8_6__wellord2__1:t65_zfmisc_1:l23_zfmisc_1:t30_lattice3:t31_lattice3:t33_zfmisc_1:t35_funct_1:t46_zfmisc_1:t8_boole:d3_compts_1:commutativity_k2_tarski:commutativity_k2_xboole_0:commutativity_k3_xboole_0:idempotence_k2_xboole_0:idempotence_k3_xboole_0:s1_xboole_0__e6_27__finset_1:t10_zfmisc_1:t145_relat_1:t146_relat_1:t32_filter_1:t46_pre_topc:dt_k10_filter_1:dt_k4_lattice3:dt_k5_lattice3:fc2_pre_topc:fc2_tops_1:fc6_tops_1:rc2_tops_1:t16_tops_2:t17_tops_2:t29_tops_1:t30_tops_1:t51_tops_1:d2_pre_topc:fc13_finset_1:l32_xboole_1:l4_zfmisc_1:t13_compts_1:t17_finset_1:t1_zfmisc_1:t37_xboole_1:t39_zfmisc_1:d1_pre_topc:d1_setfam_1:d2_tex_2:d3_pre_topc:d4_relat_1:d5_relat_1:s1_tarski__e10_24__wellord2__1:s2_ordinal1__e18_27__finset_1__1:t12_pre_topc:t136_zfmisc_1:t17_pre_topc:t42_yellow_0:d10_relat_1:d11_relat_1:d12_relat_1:d13_relat_1:d14_relat_1:d14_yellow_0:d1_finset_1:d1_wellord1:d4_relat_2:d6_relat_2:d7_relat_1:d8_relat_1:l3_wellord1:t16_yellow_0:antisymmetry_r2_xboole_0:cc1_finsub_1:cc2_finsub_1:dt_k3_lattice3:fc1_finset_1:fc29_membered:fc30_membered:fc38_membered:irreflexivity_r2_xboole_0:rc1_funct_1:reflexivity_r2_wellord2:reflexivity_r3_lattices:s1_tarski__e4_7_1__tops_2__2:s1_xboole_0__e4_7_1__tops_2__1:s2_funct_1__e4_7_1__tops_2:symmetry_r2_wellord2:d22_lattice3:d8_filter_1:l25_zfmisc_1:l28_zfmisc_1:l55_zfmisc_1:rc6_lattices:redefinition_k2_lattice3:t106_zfmisc_1:t31_ordinal1:t4_xboole_0:t6_boole:t7_lattice3:cc10_membered:d2_compts_1:d2_ordinal1:d4_subset_1:d6_ordinal1:dt_k9_filter_1:fc1_lattice3:fc4_lattice3:free_g1_orders_2:l1_zfmisc_1:l2_zfmisc_1:l50_zfmisc_1:redefinition_k6_partfun1:s1_funct_1__e4_7_1__tops_2__1:s1_ordinal1__e8_6__wellord2:s1_tarski__e18_27__finset_1__1:s1_xboole_0__e18_27__finset_1__1:s2_funct_1__e4_7_2__tops_2:t1_boole:t2_boole:t32_ordinal1:t37_zfmisc_1:t38_zfmisc_1:t39_xboole_1:t3_boole:t40_xboole_1:t48_xboole_1:t4_boole:t69_enumset1:t83_xboole_1:t8_zfmisc_1:t92_zfmisc_1:t9_tarski:t9_zfmisc_1:d13_yellow_0:d1_mcart_1:d21_lattice3:d2_mcart_1:d8_xboole_0:t12_xboole_1:t1_lattice3:t23_lattices:t28_xboole_1:t6_zfmisc_1:d11_yellow_0:d2_lattice3:d6_orders_2:d6_pre_topc:fc2_relat_1:fc3_tops_1:fc4_tops_1:involutiveness_k4_relat_1:t11_tops_2:t12_tops_2:t145_funct_1:t146_funct_1:t2_lattice3:t3_lattice3:t43_subset_1:t56_relat_1:cc18_membered:cc1_relat_1:d12_funct_1:d13_funct_1:d5_funct_1:d8_funct_1:fc1_relat_1:fc3_relat_1:rc1_relat_1:rc2_relat_1:redefinition_k5_relset_1:s1_tarski__e16_22__wellord2__2:s1_tarski__e6_21__wellord2__1:s1_xboole_0__e16_22__wellord2__1:s1_xboole_0__e6_21__wellord2__1:s2_funct_1__e16_22__wellord2__1:s3_funct_1__e16_22__wellord2:t143_relat_1:t166_relat_1:t20_relat_1:t22_funct_1:t23_funct_1:t26_finset_1:t34_funct_1:t34_lattice3:t70_funct_1:t8_funct_1:cc20_membered:d11_grcat_1:d1_lattice3:l1_wellord1:redefinition_k1_domain_1:s1_ordinal2__e18_27__finset_1:t147_funct_1:t160_relat_1:t17_wellord1:t18_wellord1:t21_funct_1:t22_relset_1:t23_relset_1:t37_relat_1:t63_xboole_1:t64_relat_1:t65_relat_1:t72_funct_1:t74_relat_1:t90_relat_1:d1_wellord2:d4_wellord2:d5_ordinal2:fc2_orders_2:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:fc4_subset_1:l82_funct_1:redefinition_r3_lattices:s1_relat_1__e6_21__wellord2:t118_zfmisc_1:t119_zfmisc_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t28_lattice3:t29_lattice3:t33_xboole_1:t36_xboole_1:t50_lattice3:t55_funct_1:t7_xboole_1:t8_xboole_1:cc1_funct_1:cc3_membered:cc4_membered:d3_relat_1:dt_g1_orders_2:dt_k7_grcat_1:dt_l1_lattices:dt_l1_pre_topc:dt_l2_lattices:fc1_xboole_0:fc1_zfmisc_1:fc27_membered:fc28_membered:fc31_membered:fc32_membered:fc37_membered:fc39_membered:fc5_pre_topc:l2_wellord1:rc2_finset_1:rc3_partfun1:redefinition_m2_relset_1:t16_wellord1:t30_relat_1:t47_setfam_1:t48_setfam_1:t5_wellord2:connectedness_r1_ordinal1:d1_relat_2:d4_funct_1:d7_xboole_0:d8_relat_2:dt_k8_filter_1:fc1_ordinal1:fc4_relat_1:l29_wellord1:l3_zfmisc_1:rc3_lattices:reflexivity_r1_ordinal1:s1_funct_1__e10_24__wellord2__1:s1_funct_1__e16_22__wellord2__1:s2_funct_1__e10_24__wellord2:t116_relat_1:t118_relat_1:t144_relat_1:t167_relat_1:t16_relset_1:t174_relat_1:t25_relat_1:t28_wellord2:t33_ordinal1:t41_ordinal1:t42_ordinal1:t44_relat_1:t45_relat_1:t45_xboole_1:t68_funct_1:t86_relat_1:t99_relat_1:cc11_membered:cc19_membered:cc1_arytm_3:cc2_funct_1:d1_ordinal1:d3_wellord1:d5_tarski:dt_k1_domain_1:l4_wellord1:rc1_funct_2:rc1_partfun1:t21_ordinal1:t29_yellow_0:t60_relat_1:t60_xboole_1:t9_funct_2:cc1_ordinal1:cc2_ordinal1:d1_relset_1:d4_ordinal1:d6_relat_1:dt_k1_lattice3:fc3_funct_1:fc5_relat_1:fc7_relat_1:rc1_ordinal1:redefinition_k4_relset_1:redefinition_r1_ordinal1:s1_tarski__e10_24__wellord2__2:s1_xboole_0__e10_24__wellord2__1:t115_relat_1:t14_relset_1:t46_relat_1:t47_relat_1:t49_wellord1:t54_wellord1:t62_funct_1:t71_relat_1:t7_mcart_1:d1_binop_1:d9_funct_1:dt_k1_wellord2:dt_k2_funct_1:dt_k2_wellord1:dt_k4_relat_1:dt_k5_relat_1:dt_k6_relat_1:dt_k7_relat_1:dt_k8_relat_1:dt_u1_lattices:dt_u2_lattices:fc10_relat_1:fc11_relat_1:fc1_funct_1:fc1_orders_2:fc2_funct_1:fc4_funct_1:fc5_funct_1:fc6_relat_1:fc8_relat_1:fc9_relat_1:rc2_funct_1:rc2_partfun1:rc3_funct_1:rc3_relat_1:rc4_funct_1:t117_relat_1:t178_relat_1:t19_wellord1:t22_wellord1:t23_wellord1:t24_wellord1:t25_wellord1:t26_wellord2:t31_wellord1:t32_wellord1:t39_wellord1:t54_funct_1:t88_relat_1:cc2_arytm_3:cc5_funct_2:cc6_funct_2:d2_wellord1:d6_wellord1:d7_wellord1:fc1_ordinal2:fc2_lattice3:fc33_membered:fc34_membered:fc3_orders_2:fc3_ordinal1:fc40_membered:l30_wellord2:rc1_arytm_3:redefinition_k1_toler_1:t140_relat_1:abstractness_v3_lattices:cc12_membered:d1_funct_2:dt_k2_lattice3:fc6_membered:t119_relat_1:t21_funct_2:t21_relat_1:t57_funct_1:t94_relat_1:cc1_lattices:cc2_lattices:dt_k1_toler_1:fc1_finsub_1:fc2_lattice2:fc3_lattice2:fc4_lattice2:fc5_lattice2:rc2_funct_2:rc2_ordinal1:cc15_membered:cc1_membered:cc2_membered:cc3_ordinal1:dt_k8_funct_2:dt_l3_lattices:fc12_relat_1:fc1_pre_topc:fc2_arytm_3:fc35_membered:fc36_membered:fc41_membered:rc1_membered:rc1_ordinal2:rc3_ordinal1:redefinition_r2_wellord2:t2_wellord2:t3_wellord2:cc13_membered:cc1_funct_2:cc2_funct_2:cc3_arytm_3:cc3_funct_2:d16_relat_2:d9_relat_2:dt_k6_partfun1:fc13_relat_1:fc4_ordinal1:rc9_lattices:t12_relset_1:t20_wellord1:t21_wellord1:t4_wellord2:t6_wellord2:t7_wellord2:cc1_partfun1:d12_relat_2:d14_relat_2:d4_wellord1:dt_k2_binop_1:fc2_partfun1:free_g3_lattices:redefinition_k2_binop_1:redefinition_k8_funct_2:t25_wellord2:t46_funct_2:t5_wellord1:t6_funct_2:t8_wellord1:dt_g3_lattices:fc2_ordinal1:cc14_membered:d5_wellord1:t53_wellord1:cc4_funct_2:fc3_lattices:dt_k10_relat_1:dt_k1_binop_1:dt_k1_enumset1:dt_k1_funct_1:dt_k1_mcart_1:dt_k1_ordinal1:dt_k1_relat_1:dt_k1_setfam_1:dt_k1_tarski:dt_k1_wellord1:dt_k1_xboole_0:dt_k1_zfmisc_1:dt_k2_mcart_1:dt_k2_relat_1:dt_k2_tarski:dt_k2_xboole_0:dt_k2_zfmisc_1:dt_k3_relat_1:dt_k3_tarski:dt_k3_xboole_0:dt_k4_tarski:dt_k4_xboole_0:dt_k5_ordinal2:dt_k9_relat_1:dt_l1_struct_0:dt_m1_relset_1:dt_m1_subset_1:dt_u1_struct_0 (690)
% SZS status THM for /tmp/SystemOnTPTP11106/SEU364+2.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP11106/SEU364+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC time limit is 1200s
% TreeLimitedRun: PID is 12814
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.48 CPU 6.04 WC
% PrfWatch: 7.16 CPU 8.04 WC
% PrfWatch: 9.15 CPU 10.05 WC
% PrfWatch: 11.12 CPU 12.06 WC
% PrfWatch: 13.09 CPU 14.07 WC
% PrfWatch: 15.08 CPU 16.07 WC
% PrfWatch: 17.07 CPU 18.08 WC
% PrfWatch: 19.05 CPU 20.09 WC
% PrfWatch: 20.72 CPU 22.10 WC
% PrfWatch: 22.30 CPU 24.10 WC
% PrfWatch: 24.25 CPU 26.11 WC
% PrfWatch: 26.23 CPU 28.12 WC
% PrfWatch: 28.21 CPU 30.13 WC
% PrfWatch: 30.19 CPU 32.13 WC
% PrfWatch: 32.18 CPU 34.14 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 34.15 CPU 36.15 WC
% PrfWatch: 36.15 CPU 38.16 WC
% PrfWatch: 38.14 CPU 40.16 WC
% PrfWatch: 40.13 CPU 42.17 WC
% PrfWatch: 42.12 CPU 44.18 WC
% PrfWatch: 44.11 CPU 46.19 WC
% PrfWatch: 46.10 CPU 48.19 WC
% PrfWatch: 48.09 CPU 50.20 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12))))))),file('/tmp/SRASS.s.p', s1_tarski__e11_2_1__waybel_0__1)).
% fof(7, conjecture,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7)))))),file('/tmp/SRASS.s.p', s1_xboole_0__e11_2_1__waybel_0__1)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7))))))),inference(assume_negation,[status(cth)],[7])).
% fof(9, plain,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12))))))),inference(fof_simplification,[status(thm)],[1,theory(equality)])).
% fof(11, negated_conjecture,~(![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7))))))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(12, plain,![X1]:![X2]:![X3]:((((((empty_carrier(X1)|~(transitive_relstr(X1)))|~(rel_str(X1)))|~(element(X2,powerset(the_carrier(X1)))))|~(finite(X3)))|~(element(X3,powerset(X2))))|(?[X4]:?[X5]:?[X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))&~(X5=X6))|?[X4]:![X5]:((~(in(X5,X4))|?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12)))))&(![X6]:((~(in(X6,powerset(X3)))|~(X6=X5))|![X11]:(~(X11=X5)|![X12]:((~(element(X12,the_carrier(X1)))|~(in(X12,X2)))|~(relstr_set_smaller(X1,X11,X12)))))|in(X5,X4))))),inference(fof_nnf,[status(thm)],[9])).
% fof(13, plain,![X13]:![X14]:![X15]:((((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))|(?[X16]:?[X17]:?[X18]:((((X16=X17&?[X19]:(X19=X17&?[X20]:((element(X20,the_carrier(X13))&in(X20,X14))&relstr_set_smaller(X13,X19,X20))))&X16=X18)&?[X21]:(X21=X18&?[X22]:((element(X22,the_carrier(X13))&in(X22,X14))&relstr_set_smaller(X13,X21,X22))))&~(X17=X18))|?[X23]:![X24]:((~(in(X24,X23))|?[X25]:((in(X25,powerset(X15))&X25=X24)&?[X26]:(X26=X24&?[X27]:((element(X27,the_carrier(X13))&in(X27,X14))&relstr_set_smaller(X13,X26,X27)))))&(![X28]:((~(in(X28,powerset(X15)))|~(X28=X24))|![X29]:(~(X29=X24)|![X30]:((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))))|in(X24,X23))))),inference(variable_rename,[status(thm)],[12])).
% fof(14, plain,![X13]:![X14]:![X15]:((((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))|(((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)&(esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)&((element(esk5_3(X13,X14,X15),the_carrier(X13))&in(esk5_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15)))))&esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15))&(esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)&((element(esk7_3(X13,X14,X15),the_carrier(X13))&in(esk7_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15)))))&~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)))|![X24]:((~(in(X24,esk8_3(X13,X14,X15)))|((in(esk9_4(X13,X14,X15,X24),powerset(X15))&esk9_4(X13,X14,X15,X24)=X24)&(esk10_4(X13,X14,X15,X24)=X24&((element(esk11_4(X13,X14,X15,X24),the_carrier(X13))&in(esk11_4(X13,X14,X15,X24),X14))&relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))))))&(![X28]:((~(in(X28,powerset(X15)))|~(X28=X24))|![X29]:(~(X29=X24)|![X30]:((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))))|in(X24,esk8_3(X13,X14,X15)))))),inference(skolemize,[status(esa)],[13])).
% fof(15, plain,![X13]:![X14]:![X15]:![X24]:![X28]:![X29]:![X30]:((((((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15)))&(~(in(X24,esk8_3(X13,X14,X15)))|((in(esk9_4(X13,X14,X15,X24),powerset(X15))&esk9_4(X13,X14,X15,X24)=X24)&(esk10_4(X13,X14,X15,X24)=X24&((element(esk11_4(X13,X14,X15,X24),the_carrier(X13))&in(esk11_4(X13,X14,X15,X24),X14))&relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24)))))))|((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)&(esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)&((element(esk5_3(X13,X14,X15),the_carrier(X13))&in(esk5_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15)))))&esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15))&(esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)&((element(esk7_3(X13,X14,X15),the_carrier(X13))&in(esk7_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15)))))&~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))),inference(shift_quantors,[status(thm)],[14])).
% fof(16, plain,![X13]:![X14]:![X15]:![X24]:![X28]:![X29]:![X30]:(((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))))&(((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))))&((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))))))),inference(distribute,[status(thm)],[15])).
% cnf(17,plain,(empty_carrier(X3)|relstr_set_smaller(X3,esk10_4(X3,X2,X1,X4),esk11_4(X3,X2,X1,X4))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(22,plain,(empty_carrier(X3)|relstr_set_smaller(X3,esk10_4(X3,X2,X1,X4),esk11_4(X3,X2,X1,X4))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(27,plain,(empty_carrier(X3)|relstr_set_smaller(X3,esk10_4(X3,X2,X1,X4),esk11_4(X3,X2,X1,X4))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(28,plain,(empty_carrier(X3)|in(esk11_4(X3,X2,X1,X4),X2)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(33,plain,(empty_carrier(X3)|in(esk11_4(X3,X2,X1,X4),X2)|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(38,plain,(empty_carrier(X3)|in(esk11_4(X3,X2,X1,X4),X2)|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(39,plain,(empty_carrier(X3)|element(esk11_4(X3,X2,X1,X4),the_carrier(X3))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(44,plain,(empty_carrier(X3)|element(esk11_4(X3,X2,X1,X4),the_carrier(X3))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(49,plain,(empty_carrier(X3)|element(esk11_4(X3,X2,X1,X4),the_carrier(X3))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(50,plain,(empty_carrier(X3)|esk10_4(X3,X2,X1,X4)=X4|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(55,plain,(empty_carrier(X3)|esk10_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(60,plain,(empty_carrier(X3)|esk10_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(61,plain,(empty_carrier(X3)|esk9_4(X3,X2,X1,X4)=X4|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(66,plain,(empty_carrier(X3)|esk9_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(71,plain,(empty_carrier(X3)|esk9_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(72,plain,(empty_carrier(X3)|in(esk9_4(X3,X2,X1,X4),powerset(X1))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(77,plain,(empty_carrier(X3)|in(esk9_4(X3,X2,X1,X4),powerset(X1))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(82,plain,(empty_carrier(X3)|in(esk9_4(X3,X2,X1,X4),powerset(X1))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[16])).
% cnf(83,plain,(empty_carrier(X3)|in(X4,esk8_3(X3,X2,X1))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|X5!=X4|~in(X5,powerset(X1))|X6!=X4|~relstr_set_smaller(X3,X6,X7)|~in(X7,X2)|~element(X7,the_carrier(X3))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% cnf(88,plain,(empty_carrier(X3)|in(X4,esk8_3(X3,X2,X1))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|X5!=X4|~in(X5,powerset(X1))|X6!=X4|~relstr_set_smaller(X3,X6,X7)|~in(X7,X2)|~element(X7,the_carrier(X3))),inference(split_conjunct,[status(thm)],[16])).
% cnf(93,plain,(empty_carrier(X3)|in(X4,esk8_3(X3,X2,X1))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|X5!=X4|~in(X5,powerset(X1))|X6!=X4|~relstr_set_smaller(X3,X6,X7)|~in(X7,X2)|~element(X7,the_carrier(X3))),inference(split_conjunct,[status(thm)],[16])).
% fof(114, negated_conjecture,?[X1]:?[X2]:?[X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))&![X4]:?[X5]:((~(in(X5,X4))|(~(in(X5,powerset(X3)))|![X6]:(~(X6=X5)|![X7]:((~(element(X7,the_carrier(X1)))|~(in(X7,X2)))|~(relstr_set_smaller(X1,X6,X7))))))&(in(X5,X4)|(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7))))))),inference(fof_nnf,[status(thm)],[11])).
% fof(115, negated_conjecture,?[X8]:?[X9]:?[X10]:((((((~(empty_carrier(X8))&transitive_relstr(X8))&rel_str(X8))&element(X9,powerset(the_carrier(X8))))&finite(X10))&element(X10,powerset(X9)))&![X11]:?[X12]:((~(in(X12,X11))|(~(in(X12,powerset(X10)))|![X13]:(~(X13=X12)|![X14]:((~(element(X14,the_carrier(X8)))|~(in(X14,X9)))|~(relstr_set_smaller(X8,X13,X14))))))&(in(X12,X11)|(in(X12,powerset(X10))&?[X15]:(X15=X12&?[X16]:((element(X16,the_carrier(X8))&in(X16,X9))&relstr_set_smaller(X8,X15,X16))))))),inference(variable_rename,[status(thm)],[114])).
% fof(116, negated_conjecture,((((((~(empty_carrier(esk14_0))&transitive_relstr(esk14_0))&rel_str(esk14_0))&element(esk15_0,powerset(the_carrier(esk14_0))))&finite(esk16_0))&element(esk16_0,powerset(esk15_0)))&![X11]:((~(in(esk17_1(X11),X11))|(~(in(esk17_1(X11),powerset(esk16_0)))|![X13]:(~(X13=esk17_1(X11))|![X14]:((~(element(X14,the_carrier(esk14_0)))|~(in(X14,esk15_0)))|~(relstr_set_smaller(esk14_0,X13,X14))))))&(in(esk17_1(X11),X11)|(in(esk17_1(X11),powerset(esk16_0))&(esk18_1(X11)=esk17_1(X11)&((element(esk19_1(X11),the_carrier(esk14_0))&in(esk19_1(X11),esk15_0))&relstr_set_smaller(esk14_0,esk18_1(X11),esk19_1(X11)))))))),inference(skolemize,[status(esa)],[115])).
% fof(117, negated_conjecture,![X11]:![X13]:![X14]:(((((((~(element(X14,the_carrier(esk14_0)))|~(in(X14,esk15_0)))|~(relstr_set_smaller(esk14_0,X13,X14)))|~(X13=esk17_1(X11)))|~(in(esk17_1(X11),powerset(esk16_0))))|~(in(esk17_1(X11),X11)))&(in(esk17_1(X11),X11)|(in(esk17_1(X11),powerset(esk16_0))&(esk18_1(X11)=esk17_1(X11)&((element(esk19_1(X11),the_carrier(esk14_0))&in(esk19_1(X11),esk15_0))&relstr_set_smaller(esk14_0,esk18_1(X11),esk19_1(X11)))))))&(((((~(empty_carrier(esk14_0))&transitive_relstr(esk14_0))&rel_str(esk14_0))&element(esk15_0,powerset(the_carrier(esk14_0))))&finite(esk16_0))&element(esk16_0,powerset(esk15_0)))),inference(shift_quantors,[status(thm)],[116])).
% fof(118, negated_conjecture,![X11]:![X13]:![X14]:(((((((~(element(X14,the_carrier(esk14_0)))|~(in(X14,esk15_0)))|~(relstr_set_smaller(esk14_0,X13,X14)))|~(X13=esk17_1(X11)))|~(in(esk17_1(X11),powerset(esk16_0))))|~(in(esk17_1(X11),X11)))&((in(esk17_1(X11),powerset(esk16_0))|in(esk17_1(X11),X11))&((esk18_1(X11)=esk17_1(X11)|in(esk17_1(X11),X11))&(((element(esk19_1(X11),the_carrier(esk14_0))|in(esk17_1(X11),X11))&(in(esk19_1(X11),esk15_0)|in(esk17_1(X11),X11)))&(relstr_set_smaller(esk14_0,esk18_1(X11),esk19_1(X11))|in(esk17_1(X11),X11))))))&(((((~(empty_carrier(esk14_0))&transitive_relstr(esk14_0))&rel_str(esk14_0))&element(esk15_0,powerset(the_carrier(esk14_0))))&finite(esk16_0))&element(esk16_0,powerset(esk15_0)))),inference(distribute,[status(thm)],[117])).
% cnf(119,negated_conjecture,(element(esk16_0,powerset(esk15_0))),inference(split_conjunct,[status(thm)],[118])).
% cnf(120,negated_conjecture,(finite(esk16_0)),inference(split_conjunct,[status(thm)],[118])).
% cnf(121,negated_conjecture,(element(esk15_0,powerset(the_carrier(esk14_0)))),inference(split_conjunct,[status(thm)],[118])).
% cnf(122,negated_conjecture,(rel_str(esk14_0)),inference(split_conjunct,[status(thm)],[118])).
% cnf(123,negated_conjecture,(transitive_relstr(esk14_0)),inference(split_conjunct,[status(thm)],[118])).
% cnf(124,negated_conjecture,(~empty_carrier(esk14_0)),inference(split_conjunct,[status(thm)],[118])).
% cnf(125,negated_conjecture,(in(esk17_1(X1),X1)|relstr_set_smaller(esk14_0,esk18_1(X1),esk19_1(X1))),inference(split_conjunct,[status(thm)],[118])).
% cnf(126,negated_conjecture,(in(esk17_1(X1),X1)|in(esk19_1(X1),esk15_0)),inference(split_conjunct,[status(thm)],[118])).
% cnf(127,negated_conjecture,(in(esk17_1(X1),X1)|element(esk19_1(X1),the_carrier(esk14_0))),inference(split_conjunct,[status(thm)],[118])).
% cnf(128,negated_conjecture,(in(esk17_1(X1),X1)|esk18_1(X1)=esk17_1(X1)),inference(split_conjunct,[status(thm)],[118])).
% cnf(129,negated_conjecture,(in(esk17_1(X1),X1)|in(esk17_1(X1),powerset(esk16_0))),inference(split_conjunct,[status(thm)],[118])).
% cnf(130,negated_conjecture,(~in(esk17_1(X1),X1)|~in(esk17_1(X1),powerset(esk16_0))|X2!=esk17_1(X1)|~relstr_set_smaller(esk14_0,X2,X3)|~in(X3,esk15_0)|~element(X3,the_carrier(esk14_0))),inference(split_conjunct,[status(thm)],[118])).
% cnf(131,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|empty_carrier(X1)|X4!=X5|~relstr_set_smaller(X1,X4,X6)|~in(X5,powerset(X3))|~in(X6,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X6,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(er,[status(thm)],[93,theory(equality)])).
% cnf(132,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(er,[status(thm)],[131,theory(equality)])).
% cnf(133,plain,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|empty_carrier(X1)|X4!=X5|~relstr_set_smaller(X1,X4,X6)|~in(X5,powerset(X3))|~in(X6,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X6,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(er,[status(thm)],[88,theory(equality)])).
% cnf(134,plain,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(er,[status(thm)],[133,theory(equality)])).
% cnf(147,plain,(in(X1,esk8_3(X2,X3,X4))|empty_carrier(X2)|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|X1!=X5|~relstr_set_smaller(X2,X1,X6)|~in(X5,powerset(X4))|~in(X6,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X6,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2)),inference(er,[status(thm)],[83,theory(equality)])).
% cnf(148,plain,(in(X1,esk8_3(X2,X3,X4))|empty_carrier(X2)|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X5,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2)),inference(er,[status(thm)],[147,theory(equality)])).
% cnf(174,negated_conjecture,(esk9_4(X1,X2,X3,esk17_1(esk8_3(X1,X2,X3)))=esk17_1(esk8_3(X1,X2,X3))|empty_carrier(X1)|in(esk17_1(esk8_3(X1,X2,X3)),powerset(esk16_0))|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(spm,[status(thm)],[61,129,theory(equality)])).
% cnf(507,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,X2,X3))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|esk3_3(esk14_0,X2,X3)!=esk2_3(esk14_0,X2,X3)|~in(esk18_1(X1),powerset(X3))|~in(esk19_1(X1),X2)|~finite(X3)|~element(X2,powerset(the_carrier(esk14_0)))|~element(esk19_1(X1),the_carrier(esk14_0))|~element(X3,powerset(X2))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[148,125,theory(equality)])).
% cnf(510,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,X2,X3))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|esk3_3(esk14_0,X2,X3)!=esk2_3(esk14_0,X2,X3)|~in(esk18_1(X1),powerset(X3))|~in(esk19_1(X1),X2)|~finite(X3)|~element(X2,powerset(the_carrier(esk14_0)))|~element(esk19_1(X1),the_carrier(esk14_0))|~element(X3,powerset(X2))|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[507,122,theory(equality)])).
% cnf(511,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,X2,X3))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|esk3_3(esk14_0,X2,X3)!=esk2_3(esk14_0,X2,X3)|~in(esk18_1(X1),powerset(X3))|~in(esk19_1(X1),X2)|~finite(X3)|~element(X2,powerset(the_carrier(esk14_0)))|~element(esk19_1(X1),the_carrier(esk14_0))|~element(X3,powerset(X2))|$false|$false),inference(rw,[status(thm)],[510,123,theory(equality)])).
% cnf(512,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,X2,X3))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|esk3_3(esk14_0,X2,X3)!=esk2_3(esk14_0,X2,X3)|~in(esk18_1(X1),powerset(X3))|~in(esk19_1(X1),X2)|~finite(X3)|~element(X2,powerset(the_carrier(esk14_0)))|~element(esk19_1(X1),the_carrier(esk14_0))|~element(X3,powerset(X2))),inference(cn,[status(thm)],[511,theory(equality)])).
% cnf(513,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,X2,X3))|in(esk17_1(X1),X1)|esk3_3(esk14_0,X2,X3)!=esk2_3(esk14_0,X2,X3)|~in(esk18_1(X1),powerset(X3))|~in(esk19_1(X1),X2)|~finite(X3)|~element(X2,powerset(the_carrier(esk14_0)))|~element(esk19_1(X1),the_carrier(esk14_0))|~element(X3,powerset(X2))),inference(sr,[status(thm)],[512,124,theory(equality)])).
% cnf(621,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk2_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[132,125,theory(equality)])).
% cnf(631,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk2_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[621,122,theory(equality)])).
% cnf(632,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk2_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))|$false|$false),inference(rw,[status(thm)],[631,123,theory(equality)])).
% cnf(633,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk2_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))),inference(cn,[status(thm)],[632,theory(equality)])).
% cnf(634,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk2_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))),inference(sr,[status(thm)],[633,124,theory(equality)])).
% cnf(635,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk3_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[134,125,theory(equality)])).
% cnf(645,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk3_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[635,122,theory(equality)])).
% cnf(646,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk3_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))|$false|$false),inference(rw,[status(thm)],[645,123,theory(equality)])).
% cnf(647,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk3_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|empty_carrier(esk14_0)|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))),inference(cn,[status(thm)],[646,theory(equality)])).
% cnf(648,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk3_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(esk19_1(X3),the_carrier(esk14_0))|~element(X2,powerset(X1))),inference(sr,[status(thm)],[647,124,theory(equality)])).
% cnf(1157,negated_conjecture,(in(esk17_1(esk8_3(X1,X2,X3)),powerset(X3))|empty_carrier(X1)|in(esk17_1(esk8_3(X1,X2,X3)),powerset(esk16_0))|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|~in(esk17_1(esk8_3(X1,X2,X3)),esk8_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(spm,[status(thm)],[72,174,theory(equality)])).
% cnf(49725,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,X2,X3))|in(esk17_1(X1),X1)|esk3_3(esk14_0,X2,X3)!=esk2_3(esk14_0,X2,X3)|~in(esk18_1(X1),powerset(X3))|~in(esk19_1(X1),X2)|~finite(X3)|~element(X2,powerset(the_carrier(esk14_0)))|~element(X3,powerset(X2))),inference(csr,[status(thm)],[513,127])).
% cnf(49727,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,esk15_0,X2))|in(esk17_1(X1),X1)|esk3_3(esk14_0,esk15_0,X2)!=esk2_3(esk14_0,esk15_0,X2)|~in(esk18_1(X1),powerset(X2))|~in(esk19_1(X1),esk15_0)|~finite(X2)|~element(X2,powerset(esk15_0))),inference(spm,[status(thm)],[49725,121,theory(equality)])).
% cnf(49751,negated_conjecture,(in(esk18_1(X1),esk8_3(esk14_0,esk15_0,X2))|in(esk17_1(X1),X1)|esk3_3(esk14_0,esk15_0,X2)!=esk2_3(esk14_0,esk15_0,X2)|~in(esk18_1(X1),powerset(X2))|~finite(X2)|~element(X2,powerset(esk15_0))),inference(csr,[status(thm)],[49727,126])).
% cnf(49758,negated_conjecture,(in(esk17_1(X1),esk8_3(esk14_0,esk15_0,X2))|in(esk17_1(X1),X1)|esk3_3(esk14_0,esk15_0,X2)!=esk2_3(esk14_0,esk15_0,X2)|~in(esk17_1(X1),powerset(X2))|~finite(X2)|~element(X2,powerset(esk15_0))),inference(spm,[status(thm)],[49751,128,theory(equality)])).
% cnf(86327,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk2_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(X2,powerset(X1))),inference(csr,[status(thm)],[634,127])).
% cnf(86329,negated_conjecture,(esk1_3(esk14_0,esk15_0,X1)=esk2_3(esk14_0,esk15_0,X1)|in(esk18_1(X2),esk8_3(esk14_0,esk15_0,X1))|in(esk17_1(X2),X2)|~in(esk18_1(X2),powerset(X1))|~in(esk19_1(X2),esk15_0)|~finite(X1)|~element(X1,powerset(esk15_0))),inference(spm,[status(thm)],[86327,121,theory(equality)])).
% cnf(96058,negated_conjecture,(esk1_3(esk14_0,X1,X2)=esk3_3(esk14_0,X1,X2)|in(esk18_1(X3),esk8_3(esk14_0,X1,X2))|in(esk17_1(X3),X3)|~in(esk18_1(X3),powerset(X2))|~in(esk19_1(X3),X1)|~finite(X2)|~element(X1,powerset(the_carrier(esk14_0)))|~element(X2,powerset(X1))),inference(csr,[status(thm)],[648,127])).
% cnf(96060,negated_conjecture,(esk1_3(esk14_0,esk15_0,X1)=esk3_3(esk14_0,esk15_0,X1)|in(esk18_1(X2),esk8_3(esk14_0,esk15_0,X1))|in(esk17_1(X2),X2)|~in(esk18_1(X2),powerset(X1))|~in(esk19_1(X2),esk15_0)|~finite(X1)|~element(X1,powerset(esk15_0))),inference(spm,[status(thm)],[96058,121,theory(equality)])).
% cnf(190464,negated_conjecture,(in(esk17_1(esk8_3(X1,X2,X3)),powerset(esk16_0))|in(esk17_1(esk8_3(X1,X2,X3)),powerset(X3))|empty_carrier(X1)|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1)),inference(csr,[status(thm)],[1157,129])).
% cnf(190466,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(esk16_0))|in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(X1))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,X1)!=esk2_3(esk14_0,esk15_0,X1)|~finite(X1)|~element(X1,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[190464,121,theory(equality)])).
% cnf(190487,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(esk16_0))|in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(X1))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,X1)!=esk2_3(esk14_0,esk15_0,X1)|~finite(X1)|~element(X1,powerset(esk15_0))|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[190466,122,theory(equality)])).
% cnf(190488,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(esk16_0))|in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(X1))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,X1)!=esk2_3(esk14_0,esk15_0,X1)|~finite(X1)|~element(X1,powerset(esk15_0))|$false|$false),inference(rw,[status(thm)],[190487,123,theory(equality)])).
% cnf(190489,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(esk16_0))|in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(X1))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,X1)!=esk2_3(esk14_0,esk15_0,X1)|~finite(X1)|~element(X1,powerset(esk15_0))),inference(cn,[status(thm)],[190488,theory(equality)])).
% cnf(190490,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(esk16_0))|in(esk17_1(esk8_3(esk14_0,esk15_0,X1)),powerset(X1))|esk3_3(esk14_0,esk15_0,X1)!=esk2_3(esk14_0,esk15_0,X1)|~finite(X1)|~element(X1,powerset(esk15_0))),inference(sr,[status(thm)],[190489,124,theory(equality)])).
% cnf(191956,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~finite(esk16_0)),inference(spm,[status(thm)],[190490,119,theory(equality)])).
% cnf(191968,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false),inference(rw,[status(thm)],[191956,120,theory(equality)])).
% cnf(191969,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(cn,[status(thm)],[191968,theory(equality)])).
% cnf(191973,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~finite(esk16_0)|~element(esk16_0,powerset(esk15_0))),inference(spm,[status(thm)],[49758,191969,theory(equality)])).
% cnf(191987,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|~element(esk16_0,powerset(esk15_0))),inference(rw,[status(thm)],[191973,120,theory(equality)])).
% cnf(191988,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false),inference(rw,[status(thm)],[191987,119,theory(equality)])).
% cnf(191989,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(cn,[status(thm)],[191988,theory(equality)])).
% cnf(192027,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[50,191989,theory(equality)])).
% cnf(192175,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192027,120,theory(equality)])).
% cnf(192176,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192175,121,theory(equality)])).
% cnf(192177,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192176,119,theory(equality)])).
% cnf(192178,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192177,122,theory(equality)])).
% cnf(192179,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[192178,123,theory(equality)])).
% cnf(192180,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(cn,[status(thm)],[192179,theory(equality)])).
% cnf(192181,negated_conjecture,(esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(sr,[status(thm)],[192180,124,theory(equality)])).
% cnf(192627,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[17,192181,theory(equality)])).
% cnf(192805,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192627,120,theory(equality)])).
% cnf(192806,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192805,121,theory(equality)])).
% cnf(192807,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192806,119,theory(equality)])).
% cnf(192808,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[192807,122,theory(equality)])).
% cnf(192809,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[192808,123,theory(equality)])).
% cnf(192810,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[192809,theory(equality)])).
% cnf(192811,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[192810,124,theory(equality)])).
% cnf(203623,negated_conjecture,(esk1_3(esk14_0,esk15_0,X1)=esk2_3(esk14_0,esk15_0,X1)|in(esk18_1(X2),esk8_3(esk14_0,esk15_0,X1))|in(esk17_1(X2),X2)|~in(esk18_1(X2),powerset(X1))|~finite(X1)|~element(X1,powerset(esk15_0))),inference(csr,[status(thm)],[86329,126])).
% cnf(203630,negated_conjecture,(esk1_3(esk14_0,esk15_0,X1)=esk2_3(esk14_0,esk15_0,X1)|in(esk17_1(X2),esk8_3(esk14_0,esk15_0,X1))|in(esk17_1(X2),X2)|~in(esk17_1(X2),powerset(X1))|~finite(X1)|~element(X1,powerset(esk15_0))),inference(spm,[status(thm)],[203623,128,theory(equality)])).
% cnf(203817,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)|~finite(esk16_0)|~element(esk16_0,powerset(esk15_0))),inference(spm,[status(thm)],[203630,129,theory(equality)])).
% cnf(203990,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)|$false|~element(esk16_0,powerset(esk15_0))),inference(rw,[status(thm)],[203817,120,theory(equality)])).
% cnf(203991,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)|$false|$false),inference(rw,[status(thm)],[203990,119,theory(equality)])).
% cnf(203992,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)),inference(cn,[status(thm)],[203991,theory(equality)])).
% cnf(203993,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(ef,[status(thm)],[203992,theory(equality)])).
% cnf(204132,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[60,203992,theory(equality)])).
% cnf(204202,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204132,120,theory(equality)])).
% cnf(204203,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204202,121,theory(equality)])).
% cnf(204204,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204203,119,theory(equality)])).
% cnf(204205,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204204,122,theory(equality)])).
% cnf(204206,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[204205,123,theory(equality)])).
% cnf(204207,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)),inference(cn,[status(thm)],[204206,theory(equality)])).
% cnf(204208,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|in(esk17_1(X1),X1)),inference(sr,[status(thm)],[204207,124,theory(equality)])).
% cnf(204797,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[27,204208,theory(equality)])).
% cnf(204913,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204797,120,theory(equality)])).
% cnf(204914,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204913,121,theory(equality)])).
% cnf(204915,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204914,119,theory(equality)])).
% cnf(204916,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[204915,122,theory(equality)])).
% cnf(204917,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[204916,123,theory(equality)])).
% cnf(204918,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[204917,theory(equality)])).
% cnf(204919,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[204918,124,theory(equality)])).
% cnf(205671,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[71,203993,theory(equality)])).
% cnf(205675,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[60,203993,theory(equality)])).
% cnf(205717,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205671,120,theory(equality)])).
% cnf(205718,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205717,121,theory(equality)])).
% cnf(205719,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205718,119,theory(equality)])).
% cnf(205720,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205719,122,theory(equality)])).
% cnf(205721,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[205720,123,theory(equality)])).
% cnf(205722,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)),inference(cn,[status(thm)],[205721,theory(equality)])).
% cnf(205723,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[205722,124,theory(equality)])).
% cnf(205745,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205675,120,theory(equality)])).
% cnf(205746,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205745,121,theory(equality)])).
% cnf(205747,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205746,119,theory(equality)])).
% cnf(205748,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205747,122,theory(equality)])).
% cnf(205749,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[205748,123,theory(equality)])).
% cnf(205750,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)),inference(cn,[status(thm)],[205749,theory(equality)])).
% cnf(205751,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[205750,124,theory(equality)])).
% cnf(205966,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[82,205723,theory(equality)])).
% cnf(206032,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[205966,120,theory(equality)])).
% cnf(206033,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206032,121,theory(equality)])).
% cnf(206034,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206033,119,theory(equality)])).
% cnf(206035,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206034,122,theory(equality)])).
% cnf(206036,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[206035,123,theory(equality)])).
% cnf(206037,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[206036,theory(equality)])).
% cnf(206038,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[206037,124,theory(equality)])).
% cnf(206218,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[27,205751,theory(equality)])).
% cnf(206350,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206218,120,theory(equality)])).
% cnf(206351,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206350,121,theory(equality)])).
% cnf(206352,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206351,119,theory(equality)])).
% cnf(206353,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[206352,122,theory(equality)])).
% cnf(206354,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[206353,123,theory(equality)])).
% cnf(206355,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[206354,theory(equality)])).
% cnf(206356,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[206355,124,theory(equality)])).
% cnf(214740,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))),inference(csr,[status(thm)],[206038,129])).
% cnf(214753,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))!=X1|~relstr_set_smaller(esk14_0,X1,X2)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~in(X2,esk15_0)|~element(X2,the_carrier(esk14_0))),inference(spm,[status(thm)],[130,214740,theory(equality)])).
% cnf(222664,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|in(esk17_1(X1),X1)),inference(csr,[status(thm)],[204919,203992])).
% cnf(231957,negated_conjecture,(esk1_3(esk14_0,esk15_0,X1)=esk3_3(esk14_0,esk15_0,X1)|in(esk18_1(X2),esk8_3(esk14_0,esk15_0,X1))|in(esk17_1(X2),X2)|~in(esk18_1(X2),powerset(X1))|~finite(X1)|~element(X1,powerset(esk15_0))),inference(csr,[status(thm)],[96060,126])).
% cnf(231964,negated_conjecture,(esk1_3(esk14_0,esk15_0,X1)=esk3_3(esk14_0,esk15_0,X1)|in(esk17_1(X2),esk8_3(esk14_0,esk15_0,X1))|in(esk17_1(X2),X2)|~in(esk17_1(X2),powerset(X1))|~finite(X1)|~element(X1,powerset(esk15_0))),inference(spm,[status(thm)],[231957,128,theory(equality)])).
% cnf(232167,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)|~finite(esk16_0)|~element(esk16_0,powerset(esk15_0))),inference(spm,[status(thm)],[231964,129,theory(equality)])).
% cnf(232346,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)|$false|~element(esk16_0,powerset(esk15_0))),inference(rw,[status(thm)],[232167,120,theory(equality)])).
% cnf(232347,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)|$false|$false),inference(rw,[status(thm)],[232346,119,theory(equality)])).
% cnf(232348,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|in(esk17_1(X1),X1)),inference(cn,[status(thm)],[232347,theory(equality)])).
% cnf(232349,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(ef,[status(thm)],[232348,theory(equality)])).
% cnf(232490,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[55,232348,theory(equality)])).
% cnf(232566,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[232490,120,theory(equality)])).
% cnf(232567,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[232566,121,theory(equality)])).
% cnf(232568,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[232567,119,theory(equality)])).
% cnf(232569,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[232568,122,theory(equality)])).
% cnf(232570,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[232569,123,theory(equality)])).
% cnf(232571,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|empty_carrier(esk14_0)|in(esk17_1(X1),X1)),inference(cn,[status(thm)],[232570,theory(equality)])).
% cnf(232572,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(X1))=esk17_1(X1)|in(esk17_1(X1),X1)),inference(sr,[status(thm)],[232571,124,theory(equality)])).
% cnf(233160,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[22,232572,theory(equality)])).
% cnf(233282,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[233160,120,theory(equality)])).
% cnf(233283,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[233282,121,theory(equality)])).
% cnf(233284,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[233283,119,theory(equality)])).
% cnf(233285,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[233284,122,theory(equality)])).
% cnf(233286,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[233285,123,theory(equality)])).
% cnf(233287,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|empty_carrier(esk14_0)|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[233286,theory(equality)])).
% cnf(233288,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|in(esk17_1(X1),X1)|~in(esk17_1(X1),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[233287,124,theory(equality)])).
% cnf(234034,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[66,232349,theory(equality)])).
% cnf(234038,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[55,232349,theory(equality)])).
% cnf(234086,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234034,120,theory(equality)])).
% cnf(234087,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234086,121,theory(equality)])).
% cnf(234088,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234087,119,theory(equality)])).
% cnf(234089,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234088,122,theory(equality)])).
% cnf(234090,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[234089,123,theory(equality)])).
% cnf(234091,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)),inference(cn,[status(thm)],[234090,theory(equality)])).
% cnf(234092,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk9_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[234091,124,theory(equality)])).
% cnf(234114,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234038,120,theory(equality)])).
% cnf(234115,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234114,121,theory(equality)])).
% cnf(234116,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234115,119,theory(equality)])).
% cnf(234117,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234116,122,theory(equality)])).
% cnf(234118,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[234117,123,theory(equality)])).
% cnf(234119,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))|empty_carrier(esk14_0)),inference(cn,[status(thm)],[234118,theory(equality)])).
% cnf(234120,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|esk10_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)))=esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[234119,124,theory(equality)])).
% cnf(234329,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[77,234092,theory(equality)])).
% cnf(234407,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234329,120,theory(equality)])).
% cnf(234408,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234407,121,theory(equality)])).
% cnf(234409,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234408,119,theory(equality)])).
% cnf(234410,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234409,122,theory(equality)])).
% cnf(234411,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[234410,123,theory(equality)])).
% cnf(234412,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[234411,theory(equality)])).
% cnf(234413,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[234412,124,theory(equality)])).
% cnf(234587,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[22,234120,theory(equality)])).
% cnf(234725,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234587,120,theory(equality)])).
% cnf(234726,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234725,121,theory(equality)])).
% cnf(234727,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234726,119,theory(equality)])).
% cnf(234728,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[234727,122,theory(equality)])).
% cnf(234729,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[234728,123,theory(equality)])).
% cnf(234730,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[234729,theory(equality)])).
% cnf(234731,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[234730,124,theory(equality)])).
% cnf(243311,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))),inference(csr,[status(thm)],[234413,129])).
% cnf(247785,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(X1),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(X1)))|in(esk17_1(X1),X1)),inference(csr,[status(thm)],[233288,232348])).
% cnf(724990,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(csr,[status(thm)],[192811,191989])).
% cnf(725046,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))),inference(csr,[status(thm)],[206356,222664])).
% cnf(725102,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))),inference(csr,[status(thm)],[234731,247785])).
% cnf(796372,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))!=X1|~relstr_set_smaller(esk14_0,X1,X2)|~in(X2,esk15_0)|~element(X2,the_carrier(esk14_0))),inference(csr,[status(thm)],[214753,203993])).
% cnf(796373,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|~relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),X1)|~in(X1,esk15_0)|~element(X1,the_carrier(esk14_0))),inference(er,[status(thm)],[796372,theory(equality)])).
% cnf(796400,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~element(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),the_carrier(esk14_0))),inference(spm,[status(thm)],[796373,725046,theory(equality)])).
% cnf(796490,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[796400,49,theory(equality)])).
% cnf(796537,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796490,120,theory(equality)])).
% cnf(796538,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796537,121,theory(equality)])).
% cnf(796539,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796538,119,theory(equality)])).
% cnf(796540,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796539,122,theory(equality)])).
% cnf(796541,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[796540,123,theory(equality)])).
% cnf(796542,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[796541,theory(equality)])).
% cnf(796543,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[796542,124,theory(equality)])).
% cnf(796740,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)),inference(csr,[status(thm)],[796543,203993])).
% cnf(796742,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[796740,38,theory(equality)])).
% cnf(796789,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796742,120,theory(equality)])).
% cnf(796790,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796789,121,theory(equality)])).
% cnf(796791,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796790,119,theory(equality)])).
% cnf(796792,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[796791,122,theory(equality)])).
% cnf(796793,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[796792,123,theory(equality)])).
% cnf(796794,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[796793,theory(equality)])).
% cnf(796795,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(sr,[status(thm)],[796794,124,theory(equality)])).
% cnf(797068,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)),inference(csr,[status(thm)],[796795,203993])).
% cnf(797223,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))),inference(rw,[status(thm)],[725102,797068,theory(equality)])).
% cnf(797227,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))),inference(rw,[status(thm)],[243311,797068,theory(equality)])).
% cnf(797382,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),powerset(esk16_0))),inference(csr,[status(thm)],[797227,191969])).
% cnf(797399,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk16_0,powerset(esk15_0))),inference(spm,[status(thm)],[231964,797382,theory(equality)])).
% cnf(797402,negated_conjecture,(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))!=X1|~relstr_set_smaller(esk14_0,X1,X2)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~in(X2,esk15_0)|~element(X2,the_carrier(esk14_0))),inference(spm,[status(thm)],[130,797382,theory(equality)])).
% cnf(797453,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk16_0,powerset(esk15_0))),inference(rw,[status(thm)],[797399,797068,theory(equality)])).
% cnf(797454,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|~element(esk16_0,powerset(esk15_0))),inference(rw,[status(thm)],[797453,120,theory(equality)])).
% cnf(797455,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|$false|$false),inference(rw,[status(thm)],[797454,119,theory(equality)])).
% cnf(797456,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(cn,[status(thm)],[797455,theory(equality)])).
% cnf(797463,negated_conjecture,(in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))),inference(csr,[status(thm)],[797456,191989])).
% cnf(822244,negated_conjecture,(relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))))),inference(csr,[status(thm)],[797223,724990])).
% cnf(859395,negated_conjecture,(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))!=X1|~relstr_set_smaller(esk14_0,X1,X2)|$false|~in(X2,esk15_0)|~element(X2,the_carrier(esk14_0))),inference(rw,[status(thm)],[797402,797463,theory(equality)])).
% cnf(859396,negated_conjecture,(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))!=X1|~relstr_set_smaller(esk14_0,X1,X2)|~in(X2,esk15_0)|~element(X2,the_carrier(esk14_0))),inference(cn,[status(thm)],[859395,theory(equality)])).
% cnf(859397,negated_conjecture,(~relstr_set_smaller(esk14_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),X1)|~in(X1,esk15_0)|~element(X1,the_carrier(esk14_0))),inference(er,[status(thm)],[859396,theory(equality)])).
% cnf(859420,negated_conjecture,(~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~element(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),the_carrier(esk14_0))),inference(spm,[status(thm)],[859397,822244,theory(equality)])).
% cnf(859518,negated_conjecture,(esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[859420,44,theory(equality)])).
% cnf(859521,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[859420,39,theory(equality)])).
% cnf(859558,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859518,797068,theory(equality)])).
% cnf(859559,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859558,797463,theory(equality)])).
% cnf(859560,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859559,120,theory(equality)])).
% cnf(859561,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859560,121,theory(equality)])).
% cnf(859562,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859561,119,theory(equality)])).
% cnf(859563,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859562,122,theory(equality)])).
% cnf(859564,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[859563,123,theory(equality)])).
% cnf(859565,negated_conjecture,(esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)),inference(cn,[status(thm)],[859564,theory(equality)])).
% cnf(859566,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)),inference(sr,[status(thm)],[859565,124,theory(equality)])).
% cnf(859583,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859521,797463,theory(equality)])).
% cnf(859584,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859583,120,theory(equality)])).
% cnf(859585,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859584,121,theory(equality)])).
% cnf(859586,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859585,119,theory(equality)])).
% cnf(859587,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859586,122,theory(equality)])).
% cnf(859588,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[859587,123,theory(equality)])).
% cnf(859589,negated_conjecture,(empty_carrier(esk14_0)|~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(cn,[status(thm)],[859588,theory(equality)])).
% cnf(859590,negated_conjecture,(~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)),inference(sr,[status(thm)],[859589,124,theory(equality)])).
% cnf(859767,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk1_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[859566,33,theory(equality)])).
% cnf(859807,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859767,797068,theory(equality)])).
% cnf(859808,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|$false|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859807,797463,theory(equality)])).
% cnf(859809,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|$false|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859808,120,theory(equality)])).
% cnf(859810,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|$false|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859809,121,theory(equality)])).
% cnf(859811,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|$false|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859810,119,theory(equality)])).
% cnf(859812,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|$false|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[859811,122,theory(equality)])).
% cnf(859813,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|esk2_3(esk14_0,esk15_0,esk16_0)=esk3_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[859812,123,theory(equality)])).
% cnf(859814,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)|empty_carrier(esk14_0)),inference(cn,[status(thm)],[859813,theory(equality)])).
% cnf(859815,negated_conjecture,(esk3_3(esk14_0,esk15_0,esk16_0)=esk2_3(esk14_0,esk15_0,esk16_0)),inference(sr,[status(thm)],[859814,124,theory(equality)])).
% cnf(860858,negated_conjecture,(~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)|$false),inference(rw,[status(thm)],[859590,859815,theory(equality)])).
% cnf(860859,negated_conjecture,(~in(esk11_4(esk14_0,esk15_0,esk16_0,esk17_1(esk8_3(esk14_0,esk15_0,esk16_0))),esk15_0)),inference(cn,[status(thm)],[860858,theory(equality)])).
% cnf(860865,negated_conjecture,(empty_carrier(esk14_0)|esk3_3(esk14_0,esk15_0,esk16_0)!=esk2_3(esk14_0,esk15_0,esk16_0)|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(spm,[status(thm)],[860859,28,theory(equality)])).
% cnf(860924,negated_conjecture,(empty_carrier(esk14_0)|$false|~in(esk17_1(esk8_3(esk14_0,esk15_0,esk16_0)),esk8_3(esk14_0,esk15_0,esk16_0))|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[860865,859815,theory(equality)])).
% cnf(860925,negated_conjecture,(empty_carrier(esk14_0)|$false|$false|~finite(esk16_0)|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[860924,797463,theory(equality)])).
% cnf(860926,negated_conjecture,(empty_carrier(esk14_0)|$false|$false|$false|~element(esk15_0,powerset(the_carrier(esk14_0)))|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[860925,120,theory(equality)])).
% cnf(860927,negated_conjecture,(empty_carrier(esk14_0)|$false|$false|$false|$false|~element(esk16_0,powerset(esk15_0))|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[860926,121,theory(equality)])).
% cnf(860928,negated_conjecture,(empty_carrier(esk14_0)|$false|$false|$false|$false|$false|~rel_str(esk14_0)|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[860927,119,theory(equality)])).
% cnf(860929,negated_conjecture,(empty_carrier(esk14_0)|$false|$false|$false|$false|$false|$false|~transitive_relstr(esk14_0)),inference(rw,[status(thm)],[860928,122,theory(equality)])).
% cnf(860930,negated_conjecture,(empty_carrier(esk14_0)|$false|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[860929,123,theory(equality)])).
% cnf(860931,negated_conjecture,(empty_carrier(esk14_0)),inference(cn,[status(thm)],[860930,theory(equality)])).
% cnf(860932,negated_conjecture,($false),inference(sr,[status(thm)],[860931,124,theory(equality)])).
% cnf(860933,negated_conjecture,($false),860932,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 23437
% # ...of these trivial : 530
% # ...subsumed : 16155
% # ...remaining for further processing: 6752
% # Other redundant clauses eliminated : 22
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1097
% # Backward-rewritten : 1342
% # Generated clauses : 266377
% # ...of the previous two non-trivial : 259468
% # Contextual simplify-reflections : 24410
% # Paramodulations : 266177
% # Factorizations : 150
% # Equation resolutions : 61
% # Current number of processed clauses: 4207
% # Positive orientable unit clauses: 68
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 24
% # Non-unit-clauses : 4115
% # Current number of unprocessed clauses: 152631
% # ...number of literals in the above : 1650732
% # Clause-clause subsumption calls (NU) : 596575
% # Rec. Clause-clause subsumption calls : 314976
% # Unit Clause-clause subsumption calls : 2886
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 944
% # Indexed BW rewrite successes : 20
% # Backwards rewriting index: 393 leaves, 5.66+/-8.306 terms/leaf
% # Paramod-from index: 102 leaves, 5.57+/-6.162 terms/leaf
% # Paramod-into index: 259 leaves, 5.24+/-7.997 terms/leaf
% # -------------------------------------------------
% # User time : 32.154 s
% # System time : 0.765 s
% # Total time : 32.919 s
% # Maximum resident set size: 0 pages
% PrfWatch: 49.87 CPU 52.00 WC
% FINAL PrfWatch: 49.87 CPU 52.00 WC
% SZS output end Solution for /tmp/SystemOnTPTP11106/SEU364+2.tptp
%
%------------------------------------------------------------------------------