%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU359+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 : art04.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 04:00:25 EST 2010

% Result   : Theorem 114.00s
% Output   : Solution 114.66s
% 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/SystemOnTPTP6529/SEU359+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t30_yellow_0:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... d7_yellow_0:
%  CSA axiom d7_yellow_0 found
% Looking for CSA axiom ... d9_yellow_0:
%  CSA axiom d9_yellow_0 found
% Looking for CSA axiom ... dt_k1_yellow_0:
%  CSA axiom dt_k1_yellow_0 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:
% existence_m1_subset_1:
%  CSA axiom existence_m1_subset_1 found
% Looking for CSA axiom ... t15_yellow_0:
%  CSA axiom t15_yellow_0 found
% Looking for CSA axiom ... t25_orders_2:
%  CSA axiom t25_orders_2 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :t25_orders_2:t15_yellow_0:existence_m1_subset_1:dt_k1_yellow_0:d9_yellow_0:d7_yellow_0 (6)
% Unselected axioms are ... :existence_l1_orders_2:d9_lattice3:t26_orders_2:dt_k2_yellow_0:t16_yellow_0:d8_lattice3:d8_yellow_0:t6_yellow_0:d10_yellow_0:d6_orders_2:d9_orders_2:redefinition_r3_orders_2:antisymmetry_r2_hidden:dt_l1_orders_2:existence_l1_struct_0:existence_m2_relset_1:reflexivity_r1_tarski:t1_subset:t1_xboole_1:t3_ordinal1:t7_tarski:rc1_orders_2:dt_u1_orders_2:reflexivity_r3_orders_2:t2_tarski:abstractness_v1_orders_2:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:commutativity_k4_subset_1:commutativity_k5_subset_1:d10_xboole_0:d3_pre_topc:idempotence_k4_subset_1:idempotence_k5_subset_1:t12_pre_topc:t5_tex_2:t33_zfmisc_1:t8_boole:commutativity_k3_xboole_0:d2_tex_2:idempotence_k3_xboole_0:commutativity_k2_tarski:commutativity_k2_xboole_0:d4_subset_1:idempotence_k2_xboole_0:t10_zfmisc_1:s1_tarski__e4_7_2__tops_2__1:commutativity_k3_lattices:commutativity_k4_lattices:d13_lattices:d3_lattice3:d3_lattices:t15_pre_topc:t22_pre_topc:t26_lattices:t91_tmap_1:dt_k1_pre_topc:dt_k1_tops_1:dt_k2_pre_topc:dt_k6_pre_topc:dt_u1_pre_topc:rc2_orders_2:t2_lattice3:antisymmetry_r2_xboole_0:cc4_membered:d11_grcat_1:d5_subset_1:existence_l1_lattices:existence_l1_pre_topc:existence_l2_lattices:existence_l3_lattices:existence_m1_relset_1:irreflexivity_r2_xboole_0:rc1_xboole_0:rc2_xboole_0:redefinition_k5_subset_1:redefinition_k6_subset_1:s1_tarski__e4_7_1__tops_2__2:s1_xboole_0__e4_7_1__tops_2__1:symmetry_r1_xboole_0:t10_tops_2:t46_setfam_1:t50_subset_1:t7_boole:d8_filter_1:d8_setfam_1:fraenkel_a_2_2_lattice3:l3_subset_1:l55_zfmisc_1:l71_subset_1:redefinition_k1_domain_1:redefinition_k2_lattice3:redefinition_k4_subset_1:redefinition_k5_setfam_1:redefinition_k6_setfam_1:s1_tarski__e4_7_1__tops_2__1:t106_zfmisc_1:t1_boole:t28_lattice3:t2_boole:t4_subset:t5_tops_2:d1_tops_1:d2_subset_1:d4_lattice3:d6_ordinal1:d8_lattices:d8_pre_topc:dt_k9_filter_1:free_g1_orders_2:redefinition_k10_filter_1:s1_funct_1__e4_7_1__tops_2__1:s2_funct_1__e4_7_2__tops_2:t17_pre_topc:t28_xboole_1:t2_subset:t39_xboole_1:t3_xboole_1:t40_xboole_1:t48_xboole_1:t52_pre_topc:t55_tops_1:t69_enumset1:t6_boole:t8_zfmisc_1:t9_zfmisc_1:d16_lattices:d1_lattices:d1_xboole_0:d2_lattices:d8_xboole_0:redefinition_k3_lattices:redefinition_k4_lattices:s1_tarski__e6_22__wellord2__1:t12_xboole_1:t1_lattice3:t24_ordinal1:t30_lattice3:t31_lattice3:t6_zfmisc_1:t99_zfmisc_1:d1_enumset1:d1_tarski:d2_lattice3:d2_tarski:d2_xboole_0:d3_ordinal1:d3_xboole_0:d4_tarski:d4_xboole_0:d5_orders_2:fc2_relat_1:rc1_tops_1:rc6_pre_topc:redefinition_k1_pcomps_1:s1_tarski__e16_22__wellord2__1:s1_tarski__e1_40__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:t13_tops_2:t43_subset_1:t44_tops_1:t48_pre_topc:d13_pre_topc:dt_k15_lattice3:dt_k16_lattice3:fc1_relat_1:s1_tarski__e2_37_1_1__pre_topc__1:s2_funct_1__e4_7_1__tops_2:d1_relat_1:d2_relat_1:dt_k1_lattices:dt_k2_lattices:dt_k5_lattices:t32_filter_1:cc10_membered:d1_funct_1:d1_tops_2:d2_tops_2:d2_zfmisc_1:d5_pre_topc:fc2_orders_2:fc2_pre_topc:rc3_struct_0:s1_funct_1__e4_7_2__tops_2__1:t16_relset_1:t18_finset_1:t29_lattice3:t2_xboole_1:cc1_finsub_1:cc1_funct_1:cc2_finsub_1:cc2_membered:d3_relat_1:dt_g1_orders_2:dt_k4_relat_1:dt_k5_relat_1:dt_k6_relat_1:dt_k7_grcat_1:dt_l1_lattices:dt_l1_pre_topc:dt_l2_lattices:fc10_finset_1:fc11_finset_1:fc1_xboole_0:fc1_zfmisc_1:fc27_membered:fc28_membered:fc9_finset_1:fraenkel_a_1_0_filter_1:fraenkel_a_2_3_lattice3:l1_zfmisc_1:l2_wellord1:redefinition_m2_relset_1:t15_finset_1:t30_relat_1:t3_boole:t4_boole:cc1_finset_1:cc1_relset_1:d1_relat_2:d1_struct_0:d8_relat_2:dt_k8_filter_1:fc1_ordinal1:fc1_struct_0:fc1_subset_1:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:fc4_relat_1:fc4_subset_1:rc1_finset_1:rc5_struct_0:redefinition_k6_partfun1:t118_zfmisc_1:t119_zfmisc_1:t13_finset_1:t17_xboole_1:t19_wellord1:t19_xboole_1:t26_xboole_1:t33_xboole_1:t36_xboole_1:t5_subset:t7_xboole_1:t83_xboole_1:t8_xboole_1:d1_ordinal1:d2_pre_topc:d3_tarski:d6_pre_topc:d7_xboole_0:existence_m1_connsp_2:fc3_tops_1:fc4_tops_1:reflexivity_r3_lattices:s1_tarski__e6_27__finset_1__1:t136_zfmisc_1:t140_relat_1:t23_lattices:t54_subset_1:t60_xboole_1:t63_xboole_1:cc17_membered:d1_relset_1:d1_zfmisc_1:d5_tarski:dt_k3_lattice3:dt_k3_lattices:dt_k4_lattices:dt_k4_relset_1:dt_k5_relset_1:dt_m2_relset_1:fc1_finset_1:l32_xboole_1:l4_zfmisc_1:rc3_finset_1:rc4_finset_1:rc6_lattices:s1_xboole_0__e2_37_1_1__pre_topc__1:s1_xboole_0__e6_22__wellord2:s2_ordinal1__e18_27__finset_1__1:s3_subset_1__e2_37_1_1__pre_topc:t11_tops_2:t12_tops_2:t13_compts_1:t14_relset_1:t1_zfmisc_1:t23_ordinal1:t37_xboole_1:t39_zfmisc_1:t44_pre_topc:t45_pre_topc:t45_xboole_1:t7_mcart_1:cc19_membered:d10_relat_1:d11_relat_1:d12_relat_1:d13_relat_1:d14_relat_1:d1_setfam_1:d1_wellord1:d2_ordinal1:d4_relat_1:d4_relat_2:d5_relat_1:d6_relat_2:d7_relat_1:d8_relat_1:dt_u1_lattices:dt_u2_lattices:fc13_relat_1:fc1_orders_2:l23_zfmisc_1:l25_zfmisc_1:l28_zfmisc_1:l2_zfmisc_1:l3_wellord1:l40_tops_1:rc1_subset_1:rc2_subset_1:s1_funct_1__e10_24__wellord2__1:s1_funct_1__e16_22__wellord2__1:s1_ordinal1__e8_6__wellord2:s1_tarski__e10_24__wellord2__1:s1_tarski__e10_24__wellord2__2:s1_tarski__e16_22__wellord2__2:s1_tarski__e4_27_3_1__finset_1__1:s1_tarski__e8_6__wellord2__1:s1_xboole_0__e10_24__wellord2__1:s1_xboole_0__e16_22__wellord2__1:s1_xboole_0__e4_27_3_1__finset_1:s1_xboole_0__e8_6__wellord2__1:t10_ordinal1:t117_relat_1:t178_relat_1:t24_wellord1:t25_wellord1:t31_ordinal1:t35_funct_1:t37_zfmisc_1:t38_zfmisc_1:t3_subset:t3_xboole_0:t46_zfmisc_1:t56_relat_1:t65_zfmisc_1:t88_relat_1:t9_tarski:cc16_membered:cc1_arytm_3:cc2_arytm_3:cc2_finset_1:d1_mcart_1:d2_mcart_1:d3_compts_1:dt_k1_pcomps_1:dt_k2_subset_1:dt_k3_subset_1:dt_k4_subset_1:dt_k5_setfam_1:dt_k5_subset_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:dt_m1_connsp_2:fc3_orders_2:l30_wellord2:l4_wellord1:rc1_arytm_3:rc2_tex_2:rc7_pre_topc:redefinition_r3_lattices:reflexivity_r2_wellord2:s1_xboole_0__e6_27__finset_1:symmetry_r2_wellord2:t16_tops_2:t17_tops_2:t29_tops_1:t30_tops_1:t46_pre_topc:t50_lattice3:t5_connsp_2:t7_lattice3:abstractness_v3_lattices:d1_connsp_2:d1_pre_topc:d6_wellord1:dt_k2_lattice3:fc2_tops_1:fc3_relat_1:fc6_tops_1:involutiveness_k4_relat_1:l50_zfmisc_1:rc2_tops_1:s1_relat_1__e6_21__wellord2:s1_tarski__e18_27__finset_1__1:s1_xboole_0__e18_27__finset_1__1:t119_relat_1:t145_relat_1:t20_relat_1:t47_setfam_1:t48_setfam_1:t51_tops_1:t90_relat_1:t92_zfmisc_1:cc12_membered:cc1_relat_1:cc20_membered:cc2_funct_1:d16_lattice3:d17_lattice3:d1_lattice3:dt_k10_filter_1:dt_k4_lattice3:dt_k5_lattice3:fc2_lattice2:fc3_lattice2:fc4_lattice2:fc4_lattice3:fc5_lattice2:fc5_relat_1:fc7_relat_1:l1_wellord1:rc1_funct_1:rc1_partfun1:rc1_relat_1:rc2_funct_1:rc2_relat_1:s1_tarski__e6_21__wellord2__1:s1_xboole_0__e6_21__wellord2__1:t115_relat_1:t143_relat_1:t160_relat_1:t166_relat_1:t17_wellord1:t18_wellord1:t22_relset_1:t23_relset_1:t29_yellow_0:t3_lattice3:t4_xboole_0:t74_relat_1:t86_relat_1:t8_funct_1:cc15_membered:cc18_membered:cc1_ordinal1:cc2_ordinal1:cc3_membered:d1_funct_2:d1_wellord2:d22_lattice3:d4_ordinal1:dt_k1_lattice3:dt_l3_lattices:fc10_relat_1:fc11_relat_1:fc12_finset_1:fc12_relat_1:fc14_finset_1:fc1_lattice3:fc29_membered:fc30_membered:fc31_membered:fc32_membered:fc35_membered:fc36_membered:fc37_membered:fc38_membered:fc39_membered:fc41_membered:fc6_relat_1:fc8_relat_1:fc9_relat_1:rc1_membered:rc1_ordinal1:redefinition_k8_funct_2:s1_ordinal2__e18_27__finset_1:t12_relset_1:t16_wellord1:t3_wellord2:t5_wellord2:cc1_funct_2:cc1_lattices:cc2_funct_2:cc2_lattices:cc3_arytm_3:cc3_funct_2:connectedness_r1_ordinal1:d16_relat_2:d1_binop_1:d21_lattice3:d4_funct_1:d9_relat_2:dt_k6_partfun1:dt_k8_funct_2:fc13_finset_1:fc3_funct_1:fc5_pre_topc:l3_zfmisc_1:rc2_finset_1:rc2_partfun1:rc3_funct_1:rc3_lattices:redefinition_r1_ordinal1:reflexivity_r1_ordinal1:s2_funct_1__e10_24__wellord2:t146_relat_1:t17_finset_1:t20_wellord1:t21_funct_1:t22_wellord1:t23_wellord1:t31_wellord1:t32_wellord1:t34_lattice3:t54_funct_1:t64_relat_1:t65_relat_1:t94_relat_1:cc11_membered:cc13_membered:cc1_partfun1:d12_relat_2:d14_relat_2:d1_finset_1:d2_compts_1:d3_wellord1:d4_wellord1:d6_relat_1:d7_wellord1:d9_funct_1:dt_g3_lattices:dt_k1_domain_1:dt_k2_funct_1:fc1_funct_1:fc2_funct_1:fc4_funct_1:fc5_funct_1:fc6_membered:free_g3_lattices:l29_wellord1:rc1_funct_2:rc4_funct_1:redefinition_k2_binop_1:redefinition_k4_relset_1:redefinition_k5_relset_1:t116_relat_1:t118_relat_1:t144_relat_1:t145_funct_1:t146_funct_1:t167_relat_1:t174_relat_1:t21_ordinal1:t21_relat_1:t21_wellord1:t25_relat_1:t26_finset_1:t32_ordinal1:t33_ordinal1:t37_relat_1:t39_wellord1:t41_ordinal1:t42_ordinal1:t44_relat_1:t45_relat_1:t46_funct_2:t46_relat_1:t47_relat_1:t49_wellord1:t54_wellord1:t5_wellord1:t60_relat_1:t62_funct_1:t68_funct_1:t6_funct_2:t72_funct_1:t8_wellord1:t99_relat_1:t9_funct_2:d12_funct_1:d13_funct_1:d5_funct_1:d8_funct_1:dt_k1_wellord2:dt_k2_wellord1:dt_k7_relat_1:dt_k8_relat_1:fc2_partfun1:l82_funct_1:rc3_partfun1:rc3_relat_1:rc9_lattices:s2_funct_1__e16_22__wellord2__1:s3_funct_1__e16_22__wellord2:t22_funct_1:t23_funct_1:t26_wellord2:t28_wellord2:t34_funct_1:t70_funct_1:cc14_membered:cc3_ordinal1:cc5_funct_2:cc6_funct_2:d2_wellord1:d4_wellord2:d5_ordinal2:dt_k2_binop_1:fc1_ordinal2:fc1_pre_topc:fc2_lattice3:fc33_membered:fc34_membered:fc3_ordinal1:fc40_membered:rc2_funct_2:rc3_ordinal1:redefinition_r2_wellord2:t147_funct_1:t21_funct_2:t25_wellord2:t2_wellord2:t53_wellord1:t55_funct_1:t57_funct_1:t71_relat_1:cc1_membered:cc4_funct_2:fc1_finsub_1:fc3_lattices:fc4_ordinal1:rc1_ordinal2:fc2_arytm_3:fc2_ordinal1:rc2_ordinal1:t4_wellord2:t6_wellord2:t7_wellord2:d5_wellord1: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 (675)
% SZS status THM for /tmp/SystemOnTPTP6529/SEU359+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP6529/SEU359+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 8152
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((related(X1,X2,X3)&related(X1,X3,X2))=>X2=X3)))),file('/tmp/SRASS.s.p', t25_orders_2)).
% fof(2, axiom,![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(ex_sup_of_relstr_set(X1,X2)<=>?[X3]:((element(X3,the_carrier(X1))&relstr_set_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X4)=>related(X1,X3,X4)))))),file('/tmp/SRASS.s.p', t15_yellow_0)).
% fof(4, axiom,![X1]:![X2]:(rel_str(X1)=>element(join_on_relstr(X1,X2),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k1_yellow_0)).
% fof(5, axiom,![X1]:(rel_str(X1)=>![X2]:![X3]:(element(X3,the_carrier(X1))=>(ex_sup_of_relstr_set(X1,X2)=>(X3=join_on_relstr(X1,X2)<=>(relstr_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X4)=>related(X1,X3,X4)))))))),file('/tmp/SRASS.s.p', d9_yellow_0)).
% fof(7, conjecture,![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(((X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3))=>(relstr_set_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X3,X4)=>related(X1,X2,X4)))))&((relstr_set_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X3,X4)=>related(X1,X2,X4))))=>(X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3)))))),file('/tmp/SRASS.s.p', t30_yellow_0)).
% fof(8, negated_conjecture,~(![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(((X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3))=>(relstr_set_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X3,X4)=>related(X1,X2,X4)))))&((relstr_set_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X3,X4)=>related(X1,X2,X4))))=>(X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3))))))),inference(assume_negation,[status(cth)],[7])).
% fof(9, plain,![X1]:((~(antisymmetric_relstr(X1))|~(rel_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|((~(related(X1,X2,X3))|~(related(X1,X3,X2)))|X2=X3)))),inference(fof_nnf,[status(thm)],[1])).
% fof(10, plain,![X4]:((~(antisymmetric_relstr(X4))|~(rel_str(X4)))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|((~(related(X4,X5,X6))|~(related(X4,X6,X5)))|X5=X6)))),inference(variable_rename,[status(thm)],[9])).
% fof(11, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|((~(related(X4,X5,X6))|~(related(X4,X6,X5)))|X5=X6))|~(element(X5,the_carrier(X4))))|(~(antisymmetric_relstr(X4))|~(rel_str(X4)))),inference(shift_quantors,[status(thm)],[10])).
% cnf(12,plain,(X2=X3|~rel_str(X1)|~antisymmetric_relstr(X1)|~element(X2,the_carrier(X1))|~related(X1,X3,X2)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[11])).
% fof(13, plain,![X1]:((~(antisymmetric_relstr(X1))|~(rel_str(X1)))|![X2]:((~(ex_sup_of_relstr_set(X1,X2))|?[X3]:((element(X3,the_carrier(X1))&relstr_set_smaller(X1,X2,X3))&![X4]:(~(element(X4,the_carrier(X1)))|(~(relstr_set_smaller(X1,X2,X4))|related(X1,X3,X4)))))&(![X3]:((~(element(X3,the_carrier(X1)))|~(relstr_set_smaller(X1,X2,X3)))|?[X4]:(element(X4,the_carrier(X1))&(relstr_set_smaller(X1,X2,X4)&~(related(X1,X3,X4)))))|ex_sup_of_relstr_set(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(14, plain,![X5]:((~(antisymmetric_relstr(X5))|~(rel_str(X5)))|![X6]:((~(ex_sup_of_relstr_set(X5,X6))|?[X7]:((element(X7,the_carrier(X5))&relstr_set_smaller(X5,X6,X7))&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,X7,X8)))))&(![X9]:((~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9)))|?[X10]:(element(X10,the_carrier(X5))&(relstr_set_smaller(X5,X6,X10)&~(related(X5,X9,X10)))))|ex_sup_of_relstr_set(X5,X6)))),inference(variable_rename,[status(thm)],[13])).
% fof(15, plain,![X5]:((~(antisymmetric_relstr(X5))|~(rel_str(X5)))|![X6]:((~(ex_sup_of_relstr_set(X5,X6))|((element(esk1_2(X5,X6),the_carrier(X5))&relstr_set_smaller(X5,X6,esk1_2(X5,X6)))&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,esk1_2(X5,X6),X8)))))&(![X9]:((~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9)))|(element(esk2_3(X5,X6,X9),the_carrier(X5))&(relstr_set_smaller(X5,X6,esk2_3(X5,X6,X9))&~(related(X5,X9,esk2_3(X5,X6,X9))))))|ex_sup_of_relstr_set(X5,X6)))),inference(skolemize,[status(esa)],[14])).
% fof(16, plain,![X5]:![X6]:![X8]:![X9]:(((((~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9)))|(element(esk2_3(X5,X6,X9),the_carrier(X5))&(relstr_set_smaller(X5,X6,esk2_3(X5,X6,X9))&~(related(X5,X9,esk2_3(X5,X6,X9))))))|ex_sup_of_relstr_set(X5,X6))&(((~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,esk1_2(X5,X6),X8)))&(element(esk1_2(X5,X6),the_carrier(X5))&relstr_set_smaller(X5,X6,esk1_2(X5,X6))))|~(ex_sup_of_relstr_set(X5,X6))))|(~(antisymmetric_relstr(X5))|~(rel_str(X5)))),inference(shift_quantors,[status(thm)],[15])).
% fof(17, plain,![X5]:![X6]:![X8]:![X9]:(((((element(esk2_3(X5,X6,X9),the_carrier(X5))|(~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9))))|ex_sup_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&((((relstr_set_smaller(X5,X6,esk2_3(X5,X6,X9))|(~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9))))|ex_sup_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&(((~(related(X5,X9,esk2_3(X5,X6,X9)))|(~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9))))|ex_sup_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))))&((((~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,esk1_2(X5,X6),X8)))|~(ex_sup_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&(((element(esk1_2(X5,X6),the_carrier(X5))|~(ex_sup_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&((relstr_set_smaller(X5,X6,esk1_2(X5,X6))|~(ex_sup_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))))),inference(distribute,[status(thm)],[16])).
% cnf(21,plain,(ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~related(X1,X3,esk2_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[17])).
% cnf(22,plain,(ex_sup_of_relstr_set(X1,X2)|relstr_set_smaller(X1,X2,esk2_3(X1,X2,X3))|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[17])).
% cnf(23,plain,(ex_sup_of_relstr_set(X1,X2)|element(esk2_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[17])).
% fof(27, plain,![X1]:![X2]:(~(rel_str(X1))|element(join_on_relstr(X1,X2),the_carrier(X1))),inference(fof_nnf,[status(thm)],[4])).
% fof(28, plain,![X3]:![X4]:(~(rel_str(X3))|element(join_on_relstr(X3,X4),the_carrier(X3))),inference(variable_rename,[status(thm)],[27])).
% cnf(29,plain,(element(join_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X1]:(~(rel_str(X1))|![X2]:![X3]:(~(element(X3,the_carrier(X1)))|(~(ex_sup_of_relstr_set(X1,X2))|((~(X3=join_on_relstr(X1,X2))|(relstr_set_smaller(X1,X2,X3)&![X4]:(~(element(X4,the_carrier(X1)))|(~(relstr_set_smaller(X1,X2,X4))|related(X1,X3,X4)))))&((~(relstr_set_smaller(X1,X2,X3))|?[X4]:(element(X4,the_carrier(X1))&(relstr_set_smaller(X1,X2,X4)&~(related(X1,X3,X4)))))|X3=join_on_relstr(X1,X2)))))),inference(fof_nnf,[status(thm)],[5])).
% fof(31, plain,![X5]:(~(rel_str(X5))|![X6]:![X7]:(~(element(X7,the_carrier(X5)))|(~(ex_sup_of_relstr_set(X5,X6))|((~(X7=join_on_relstr(X5,X6))|(relstr_set_smaller(X5,X6,X7)&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,X7,X8)))))&((~(relstr_set_smaller(X5,X6,X7))|?[X9]:(element(X9,the_carrier(X5))&(relstr_set_smaller(X5,X6,X9)&~(related(X5,X7,X9)))))|X7=join_on_relstr(X5,X6)))))),inference(variable_rename,[status(thm)],[30])).
% fof(32, plain,![X5]:(~(rel_str(X5))|![X6]:![X7]:(~(element(X7,the_carrier(X5)))|(~(ex_sup_of_relstr_set(X5,X6))|((~(X7=join_on_relstr(X5,X6))|(relstr_set_smaller(X5,X6,X7)&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,X7,X8)))))&((~(relstr_set_smaller(X5,X6,X7))|(element(esk4_3(X5,X6,X7),the_carrier(X5))&(relstr_set_smaller(X5,X6,esk4_3(X5,X6,X7))&~(related(X5,X7,esk4_3(X5,X6,X7))))))|X7=join_on_relstr(X5,X6)))))),inference(skolemize,[status(esa)],[31])).
% fof(33, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,X7,X8)))&relstr_set_smaller(X5,X6,X7))|~(X7=join_on_relstr(X5,X6)))&((~(relstr_set_smaller(X5,X6,X7))|(element(esk4_3(X5,X6,X7),the_carrier(X5))&(relstr_set_smaller(X5,X6,esk4_3(X5,X6,X7))&~(related(X5,X7,esk4_3(X5,X6,X7))))))|X7=join_on_relstr(X5,X6)))|~(ex_sup_of_relstr_set(X5,X6)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5))),inference(shift_quantors,[status(thm)],[32])).
% fof(34, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,X7,X8)))|~(X7=join_on_relstr(X5,X6)))|~(ex_sup_of_relstr_set(X5,X6)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))&((((relstr_set_smaller(X5,X6,X7)|~(X7=join_on_relstr(X5,X6)))|~(ex_sup_of_relstr_set(X5,X6)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5))))&((((((element(esk4_3(X5,X6,X7),the_carrier(X5))|~(relstr_set_smaller(X5,X6,X7)))|X7=join_on_relstr(X5,X6))|~(ex_sup_of_relstr_set(X5,X6)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))&((((((relstr_set_smaller(X5,X6,esk4_3(X5,X6,X7))|~(relstr_set_smaller(X5,X6,X7)))|X7=join_on_relstr(X5,X6))|~(ex_sup_of_relstr_set(X5,X6)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))&(((((~(related(X5,X7,esk4_3(X5,X6,X7)))|~(relstr_set_smaller(X5,X6,X7)))|X7=join_on_relstr(X5,X6))|~(ex_sup_of_relstr_set(X5,X6)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))))),inference(distribute,[status(thm)],[33])).
% cnf(38,plain,(relstr_set_smaller(X1,X3,X2)|~rel_str(X1)|~element(X2,the_carrier(X1))|~ex_sup_of_relstr_set(X1,X3)|X2!=join_on_relstr(X1,X3)),inference(split_conjunct,[status(thm)],[34])).
% cnf(39,plain,(related(X1,X2,X4)|~rel_str(X1)|~element(X2,the_carrier(X1))|~ex_sup_of_relstr_set(X1,X3)|X2!=join_on_relstr(X1,X3)|~relstr_set_smaller(X1,X3,X4)|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[34])).
% fof(63, negated_conjecture,?[X1]:((antisymmetric_relstr(X1)&rel_str(X1))&?[X2]:(element(X2,the_carrier(X1))&?[X3]:(((X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3))&(~(relstr_set_smaller(X1,X3,X2))|?[X4]:(element(X4,the_carrier(X1))&(relstr_set_smaller(X1,X3,X4)&~(related(X1,X2,X4))))))|((relstr_set_smaller(X1,X3,X2)&![X4]:(~(element(X4,the_carrier(X1)))|(~(relstr_set_smaller(X1,X3,X4))|related(X1,X2,X4))))&(~(X2=join_on_relstr(X1,X3))|~(ex_sup_of_relstr_set(X1,X3))))))),inference(fof_nnf,[status(thm)],[8])).
% fof(64, negated_conjecture,?[X5]:((antisymmetric_relstr(X5)&rel_str(X5))&?[X6]:(element(X6,the_carrier(X5))&?[X7]:(((X6=join_on_relstr(X5,X7)&ex_sup_of_relstr_set(X5,X7))&(~(relstr_set_smaller(X5,X7,X6))|?[X8]:(element(X8,the_carrier(X5))&(relstr_set_smaller(X5,X7,X8)&~(related(X5,X6,X8))))))|((relstr_set_smaller(X5,X7,X6)&![X9]:(~(element(X9,the_carrier(X5)))|(~(relstr_set_smaller(X5,X7,X9))|related(X5,X6,X9))))&(~(X6=join_on_relstr(X5,X7))|~(ex_sup_of_relstr_set(X5,X7))))))),inference(variable_rename,[status(thm)],[63])).
% fof(65, negated_conjecture,((antisymmetric_relstr(esk9_0)&rel_str(esk9_0))&(element(esk10_0,the_carrier(esk9_0))&(((esk10_0=join_on_relstr(esk9_0,esk11_0)&ex_sup_of_relstr_set(esk9_0,esk11_0))&(~(relstr_set_smaller(esk9_0,esk11_0,esk10_0))|(element(esk12_0,the_carrier(esk9_0))&(relstr_set_smaller(esk9_0,esk11_0,esk12_0)&~(related(esk9_0,esk10_0,esk12_0))))))|((relstr_set_smaller(esk9_0,esk11_0,esk10_0)&![X9]:(~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9))))&(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0))))))),inference(skolemize,[status(esa)],[64])).
% fof(66, negated_conjecture,![X9]:((((((~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9)))&relstr_set_smaller(esk9_0,esk11_0,esk10_0))&(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0))))|((esk10_0=join_on_relstr(esk9_0,esk11_0)&ex_sup_of_relstr_set(esk9_0,esk11_0))&(~(relstr_set_smaller(esk9_0,esk11_0,esk10_0))|(element(esk12_0,the_carrier(esk9_0))&(relstr_set_smaller(esk9_0,esk11_0,esk12_0)&~(related(esk9_0,esk10_0,esk12_0)))))))&element(esk10_0,the_carrier(esk9_0)))&(antisymmetric_relstr(esk9_0)&rel_str(esk9_0))),inference(shift_quantors,[status(thm)],[65])).
% fof(67, negated_conjecture,![X9]:(((((((esk10_0=join_on_relstr(esk9_0,esk11_0)|(~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9))))&(ex_sup_of_relstr_set(esk9_0,esk11_0)|(~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9)))))&(((element(esk12_0,the_carrier(esk9_0))|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|(~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9))))&(((relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|(~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9))))&((~(related(esk9_0,esk10_0,esk12_0))|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|(~(element(X9,the_carrier(esk9_0)))|(~(relstr_set_smaller(esk9_0,esk11_0,X9))|related(esk9_0,esk10_0,X9)))))))&(((esk10_0=join_on_relstr(esk9_0,esk11_0)|relstr_set_smaller(esk9_0,esk11_0,esk10_0))&(ex_sup_of_relstr_set(esk9_0,esk11_0)|relstr_set_smaller(esk9_0,esk11_0,esk10_0)))&(((element(esk12_0,the_carrier(esk9_0))|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|relstr_set_smaller(esk9_0,esk11_0,esk10_0))&(((relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|relstr_set_smaller(esk9_0,esk11_0,esk10_0))&((~(related(esk9_0,esk10_0,esk12_0))|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|relstr_set_smaller(esk9_0,esk11_0,esk10_0))))))&(((esk10_0=join_on_relstr(esk9_0,esk11_0)|(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0))))&(ex_sup_of_relstr_set(esk9_0,esk11_0)|(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0)))))&(((element(esk12_0,the_carrier(esk9_0))|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0))))&(((relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0))))&((~(related(esk9_0,esk10_0,esk12_0))|~(relstr_set_smaller(esk9_0,esk11_0,esk10_0)))|(~(esk10_0=join_on_relstr(esk9_0,esk11_0))|~(ex_sup_of_relstr_set(esk9_0,esk11_0))))))))&element(esk10_0,the_carrier(esk9_0)))&(antisymmetric_relstr(esk9_0)&rel_str(esk9_0))),inference(distribute,[status(thm)],[66])).
% cnf(68,negated_conjecture,(rel_str(esk9_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,negated_conjecture,(antisymmetric_relstr(esk9_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(70,negated_conjecture,(element(esk10_0,the_carrier(esk9_0))),inference(split_conjunct,[status(thm)],[67])).
% cnf(71,negated_conjecture,(~ex_sup_of_relstr_set(esk9_0,esk11_0)|esk10_0!=join_on_relstr(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,esk11_0,esk10_0)|~related(esk9_0,esk10_0,esk12_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(72,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|esk10_0!=join_on_relstr(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,esk11_0,esk10_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(73,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|esk10_0!=join_on_relstr(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,esk11_0,esk10_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(79,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk10_0)|ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(80,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk10_0)|esk10_0=join_on_relstr(esk9_0,esk11_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(82,negated_conjecture,(related(esk9_0,esk10_0,X1)|relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,esk10_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(83,negated_conjecture,(related(esk9_0,esk10_0,X1)|element(esk12_0,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,esk10_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(84,negated_conjecture,(related(esk9_0,esk10_0,X1)|ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))),inference(split_conjunct,[status(thm)],[67])).
% cnf(85,negated_conjecture,(related(esk9_0,esk10_0,X1)|esk10_0=join_on_relstr(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))),inference(split_conjunct,[status(thm)],[67])).
% cnf(103,negated_conjecture,(relstr_set_smaller(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,X1)!=esk10_0|~ex_sup_of_relstr_set(esk9_0,X1)|~rel_str(esk9_0)),inference(spm,[status(thm)],[38,70,theory(equality)])).
% cnf(107,plain,(relstr_set_smaller(X1,X2,join_on_relstr(X1,X3))|join_on_relstr(X1,X2)!=join_on_relstr(X1,X3)|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)),inference(spm,[status(thm)],[38,29,theory(equality)])).
% cnf(108,negated_conjecture,(relstr_set_smaller(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,X1)!=esk10_0|~ex_sup_of_relstr_set(esk9_0,X1)|$false),inference(rw,[status(thm)],[103,68,theory(equality)])).
% cnf(109,negated_conjecture,(relstr_set_smaller(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,X1)!=esk10_0|~ex_sup_of_relstr_set(esk9_0,X1)),inference(cn,[status(thm)],[108,theory(equality)])).
% cnf(132,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,X1)|ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,X1,esk10_0)|~element(esk10_0,the_carrier(esk9_0))|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~element(esk2_3(esk9_0,X1,esk10_0),the_carrier(esk9_0))),inference(spm,[status(thm)],[21,84,theory(equality)])).
% cnf(137,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,X1)|ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,X1,esk10_0)|$false|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~element(esk2_3(esk9_0,X1,esk10_0),the_carrier(esk9_0))),inference(rw,[status(thm)],[132,70,theory(equality)])).
% cnf(138,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,X1)|ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,X1,esk10_0)|$false|$false|~antisymmetric_relstr(esk9_0)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~element(esk2_3(esk9_0,X1,esk10_0),the_carrier(esk9_0))),inference(rw,[status(thm)],[137,68,theory(equality)])).
% cnf(139,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,X1)|ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,X1,esk10_0)|$false|$false|$false|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~element(esk2_3(esk9_0,X1,esk10_0),the_carrier(esk9_0))),inference(rw,[status(thm)],[138,69,theory(equality)])).
% cnf(140,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,X1)|ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,X1,esk10_0)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~element(esk2_3(esk9_0,X1,esk10_0),the_carrier(esk9_0))),inference(cn,[status(thm)],[139,theory(equality)])).
% cnf(300,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk10_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(spm,[status(thm)],[109,80,theory(equality)])).
% cnf(301,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk10_0)),inference(csr,[status(thm)],[300,79])).
% cnf(302,negated_conjecture,(related(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,esk11_0)!=X1|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(esk10_0,the_carrier(esk9_0))|~element(X1,the_carrier(esk9_0))|~rel_str(esk9_0)),inference(spm,[status(thm)],[39,301,theory(equality)])).
% cnf(306,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|related(esk9_0,esk10_0,X1)|$false|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))),inference(rw,[status(thm)],[82,301,theory(equality)])).
% cnf(307,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|related(esk9_0,esk10_0,X1)|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))),inference(cn,[status(thm)],[306,theory(equality)])).
% cnf(308,negated_conjecture,(related(esk9_0,esk10_0,X1)|element(esk12_0,the_carrier(esk9_0))|$false|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))),inference(rw,[status(thm)],[83,301,theory(equality)])).
% cnf(309,negated_conjecture,(related(esk9_0,esk10_0,X1)|element(esk12_0,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,X1)|~element(X1,the_carrier(esk9_0))),inference(cn,[status(thm)],[308,theory(equality)])).
% cnf(310,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)!=esk10_0|$false|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~related(esk9_0,esk10_0,esk12_0)),inference(rw,[status(thm)],[71,301,theory(equality)])).
% cnf(311,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)!=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~related(esk9_0,esk10_0,esk12_0)),inference(cn,[status(thm)],[310,theory(equality)])).
% cnf(312,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|join_on_relstr(esk9_0,esk11_0)!=esk10_0|$false|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(rw,[status(thm)],[72,301,theory(equality)])).
% cnf(313,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|join_on_relstr(esk9_0,esk11_0)!=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[312,theory(equality)])).
% cnf(314,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|join_on_relstr(esk9_0,esk11_0)!=esk10_0|$false|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(rw,[status(thm)],[73,301,theory(equality)])).
% cnf(315,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|join_on_relstr(esk9_0,esk11_0)!=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[314,theory(equality)])).
% cnf(318,negated_conjecture,(related(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,esk11_0)!=X1|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false|~element(X1,the_carrier(esk9_0))|~rel_str(esk9_0)),inference(rw,[status(thm)],[302,70,theory(equality)])).
% cnf(319,negated_conjecture,(related(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,esk11_0)!=X1|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false|~element(X1,the_carrier(esk9_0))|$false),inference(rw,[status(thm)],[318,68,theory(equality)])).
% cnf(320,negated_conjecture,(related(esk9_0,X1,esk10_0)|join_on_relstr(esk9_0,esk11_0)!=X1|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(X1,the_carrier(esk9_0))),inference(cn,[status(thm)],[319,theory(equality)])).
% cnf(406,negated_conjecture,(related(esk9_0,join_on_relstr(esk9_0,esk11_0),esk10_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))),inference(er,[status(thm)],[320,theory(equality)])).
% cnf(408,negated_conjecture,(esk10_0=join_on_relstr(esk9_0,esk11_0)|~related(esk9_0,esk10_0,join_on_relstr(esk9_0,esk11_0))|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|~element(esk10_0,the_carrier(esk9_0))|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(spm,[status(thm)],[12,406,theory(equality)])).
% cnf(410,negated_conjecture,(esk10_0=join_on_relstr(esk9_0,esk11_0)|~related(esk9_0,esk10_0,join_on_relstr(esk9_0,esk11_0))|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|$false|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(rw,[status(thm)],[408,70,theory(equality)])).
% cnf(411,negated_conjecture,(esk10_0=join_on_relstr(esk9_0,esk11_0)|~related(esk9_0,esk10_0,join_on_relstr(esk9_0,esk11_0))|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|$false|$false|~antisymmetric_relstr(esk9_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(rw,[status(thm)],[410,68,theory(equality)])).
% cnf(412,negated_conjecture,(esk10_0=join_on_relstr(esk9_0,esk11_0)|~related(esk9_0,esk10_0,join_on_relstr(esk9_0,esk11_0))|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|$false|$false|$false|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(rw,[status(thm)],[411,69,theory(equality)])).
% cnf(413,negated_conjecture,(esk10_0=join_on_relstr(esk9_0,esk11_0)|~related(esk9_0,esk10_0,join_on_relstr(esk9_0,esk11_0))|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[412,theory(equality)])).
% cnf(417,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|element(esk12_0,the_carrier(esk9_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))),inference(spm,[status(thm)],[413,309,theory(equality)])).
% cnf(418,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))),inference(spm,[status(thm)],[413,307,theory(equality)])).
% cnf(476,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))),inference(csr,[status(thm)],[417,315])).
% cnf(478,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~rel_str(esk9_0)),inference(spm,[status(thm)],[476,29,theory(equality)])).
% cnf(482,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false),inference(rw,[status(thm)],[478,68,theory(equality)])).
% cnf(483,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[482,theory(equality)])).
% cnf(500,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|related(esk9_0,esk10_0,join_on_relstr(esk9_0,X1))|~element(join_on_relstr(esk9_0,X1),the_carrier(esk9_0))|join_on_relstr(esk9_0,esk11_0)!=join_on_relstr(esk9_0,X1)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~rel_str(esk9_0)),inference(spm,[status(thm)],[85,107,theory(equality)])).
% cnf(501,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~rel_str(esk9_0)),inference(spm,[status(thm)],[483,107,theory(equality)])).
% cnf(504,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|related(esk9_0,esk10_0,join_on_relstr(esk9_0,X1))|~element(join_on_relstr(esk9_0,X1),the_carrier(esk9_0))|join_on_relstr(esk9_0,esk11_0)!=join_on_relstr(esk9_0,X1)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false),inference(rw,[status(thm)],[500,68,theory(equality)])).
% cnf(505,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|related(esk9_0,esk10_0,join_on_relstr(esk9_0,X1))|~element(join_on_relstr(esk9_0,X1),the_carrier(esk9_0))|join_on_relstr(esk9_0,esk11_0)!=join_on_relstr(esk9_0,X1)|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[504,theory(equality)])).
% cnf(506,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false),inference(rw,[status(thm)],[501,68,theory(equality)])).
% cnf(507,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[506,theory(equality)])).
% cnf(511,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))),inference(csr,[status(thm)],[418,313])).
% cnf(513,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~rel_str(esk9_0)),inference(spm,[status(thm)],[511,29,theory(equality)])).
% cnf(517,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false),inference(rw,[status(thm)],[513,68,theory(equality)])).
% cnf(518,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~relstr_set_smaller(esk9_0,esk11_0,join_on_relstr(esk9_0,esk11_0))|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[517,theory(equality)])).
% cnf(521,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~rel_str(esk9_0)),inference(spm,[status(thm)],[518,107,theory(equality)])).
% cnf(524,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false),inference(rw,[status(thm)],[521,68,theory(equality)])).
% cnf(525,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[524,theory(equality)])).
% cnf(539,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(join_on_relstr(esk9_0,esk11_0),the_carrier(esk9_0))),inference(spm,[status(thm)],[413,505,theory(equality)])).
% cnf(547,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~rel_str(esk9_0)),inference(spm,[status(thm)],[539,29,theory(equality)])).
% cnf(548,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)|$false),inference(rw,[status(thm)],[547,68,theory(equality)])).
% cnf(549,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|~ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[548,theory(equality)])).
% cnf(553,negated_conjecture,(~ex_sup_of_relstr_set(esk9_0,esk11_0)|~related(esk9_0,esk10_0,esk12_0)),inference(spm,[status(thm)],[311,549,theory(equality)])).
% cnf(581,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|ex_sup_of_relstr_set(esk9_0,X1)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~relstr_set_smaller(esk9_0,X1,esk10_0)|~element(esk10_0,the_carrier(esk9_0))|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)),inference(spm,[status(thm)],[140,23,theory(equality)])).
% cnf(582,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|ex_sup_of_relstr_set(esk9_0,X1)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~relstr_set_smaller(esk9_0,X1,esk10_0)|$false|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)),inference(rw,[status(thm)],[581,70,theory(equality)])).
% cnf(583,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|ex_sup_of_relstr_set(esk9_0,X1)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~relstr_set_smaller(esk9_0,X1,esk10_0)|$false|$false|~antisymmetric_relstr(esk9_0)),inference(rw,[status(thm)],[582,68,theory(equality)])).
% cnf(584,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|ex_sup_of_relstr_set(esk9_0,X1)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~relstr_set_smaller(esk9_0,X1,esk10_0)|$false|$false|$false),inference(rw,[status(thm)],[583,69,theory(equality)])).
% cnf(585,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|ex_sup_of_relstr_set(esk9_0,X1)|~relstr_set_smaller(esk9_0,esk11_0,esk2_3(esk9_0,X1,esk10_0))|~relstr_set_smaller(esk9_0,X1,esk10_0)),inference(cn,[status(thm)],[584,theory(equality)])).
% cnf(586,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|~relstr_set_smaller(esk9_0,esk11_0,esk10_0)|~element(esk10_0,the_carrier(esk9_0))|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)),inference(spm,[status(thm)],[585,22,theory(equality)])).
% cnf(587,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|$false|~element(esk10_0,the_carrier(esk9_0))|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)),inference(rw,[status(thm)],[586,301,theory(equality)])).
% cnf(588,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|$false|$false|~rel_str(esk9_0)|~antisymmetric_relstr(esk9_0)),inference(rw,[status(thm)],[587,70,theory(equality)])).
% cnf(589,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|$false|$false|$false|~antisymmetric_relstr(esk9_0)),inference(rw,[status(thm)],[588,68,theory(equality)])).
% cnf(590,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[589,69,theory(equality)])).
% cnf(591,negated_conjecture,(ex_sup_of_relstr_set(esk9_0,esk11_0)),inference(cn,[status(thm)],[590,theory(equality)])).
% cnf(592,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)|$false),inference(rw,[status(thm)],[525,591,theory(equality)])).
% cnf(593,negated_conjecture,(relstr_set_smaller(esk9_0,esk11_0,esk12_0)),inference(cn,[status(thm)],[592,theory(equality)])).
% cnf(594,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))|$false),inference(rw,[status(thm)],[507,591,theory(equality)])).
% cnf(595,negated_conjecture,(element(esk12_0,the_carrier(esk9_0))),inference(cn,[status(thm)],[594,theory(equality)])).
% cnf(596,negated_conjecture,($false|~related(esk9_0,esk10_0,esk12_0)),inference(rw,[status(thm)],[553,591,theory(equality)])).
% cnf(597,negated_conjecture,(~related(esk9_0,esk10_0,esk12_0)),inference(cn,[status(thm)],[596,theory(equality)])).
% cnf(609,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0|$false),inference(rw,[status(thm)],[549,591,theory(equality)])).
% cnf(610,negated_conjecture,(join_on_relstr(esk9_0,esk11_0)=esk10_0),inference(cn,[status(thm)],[609,theory(equality)])).
% cnf(611,negated_conjecture,(related(esk9_0,X1,esk12_0)|join_on_relstr(esk9_0,esk11_0)!=X1|~ex_sup_of_relstr_set(esk9_0,esk11_0)|~element(esk12_0,the_carrier(esk9_0))|~element(X1,the_carrier(esk9_0))|~rel_str(esk9_0)),inference(spm,[status(thm)],[39,593,theory(equality)])).
% cnf(615,negated_conjecture,(related(esk9_0,X1,esk12_0)|join_on_relstr(esk9_0,esk11_0)!=X1|$false|~element(esk12_0,the_carrier(esk9_0))|~element(X1,the_carrier(esk9_0))|~rel_str(esk9_0)),inference(rw,[status(thm)],[611,591,theory(equality)])).
% cnf(616,negated_conjecture,(related(esk9_0,X1,esk12_0)|join_on_relstr(esk9_0,esk11_0)!=X1|$false|~element(esk12_0,the_carrier(esk9_0))|~element(X1,the_carrier(esk9_0))|$false),inference(rw,[status(thm)],[615,68,theory(equality)])).
% cnf(617,negated_conjecture,(related(esk9_0,X1,esk12_0)|join_on_relstr(esk9_0,esk11_0)!=X1|~element(esk12_0,the_carrier(esk9_0))|~element(X1,the_carrier(esk9_0))),inference(cn,[status(thm)],[616,theory(equality)])).
% cnf(658,negated_conjecture,(related(esk9_0,X1,esk12_0)|esk10_0!=X1|~element(esk12_0,the_carrier(esk9_0))|~element(X1,the_carrier(esk9_0))),inference(rw,[status(thm)],[617,610,theory(equality)])).
% cnf(659,negated_conjecture,(related(esk9_0,X1,esk12_0)|esk10_0!=X1|$false|~element(X1,the_carrier(esk9_0))),inference(rw,[status(thm)],[658,595,theory(equality)])).
% cnf(660,negated_conjecture,(related(esk9_0,X1,esk12_0)|esk10_0!=X1|~element(X1,the_carrier(esk9_0))),inference(cn,[status(thm)],[659,theory(equality)])).
% cnf(663,negated_conjecture,(~element(esk10_0,the_carrier(esk9_0))),inference(spm,[status(thm)],[597,660,theory(equality)])).
% cnf(670,negated_conjecture,($false),inference(rw,[status(thm)],[663,70,theory(equality)])).
% cnf(671,negated_conjecture,($false),inference(cn,[status(thm)],[670,theory(equality)])).
% cnf(672,negated_conjecture,($false),671,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 151
% # ...of these trivial                : 1
% # ...subsumed                        : 12
% # ...remaining for further processing: 138
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 17
% # Backward-rewritten                 : 25
% # Generated clauses                  : 211
% # ...of the previous two non-trivial : 192
% # Contextual simplify-reflections    : 19
% # Paramodulations                    : 210
% # Factorizations                     : 0
% # Equation resolutions               : 1
% # Current number of processed clauses: 51
% #    Positive orientable unit clauses: 10
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 40
% # Current number of unprocessed clauses: 72
% # ...number of literals in the above : 586
% # Clause-clause subsumption calls (NU) : 186
% # Rec. Clause-clause subsumption calls : 60
% # Unit Clause-clause subsumption calls : 2
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 12
% # Indexed BW rewrite successes       : 6
% # Backwards rewriting index:    48 leaves,   1.79+/-2.111 terms/leaf
% # Paramod-from index:           22 leaves,   1.55+/-2.083 terms/leaf
% # Paramod-into index:           41 leaves,   1.54+/-1.796 terms/leaf
% # -------------------------------------------------
% # User time              : 0.031 s
% # System time            : 0.004 s
% # Total time             : 0.035 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.13 CPU 0.22 WC
% FINAL PrfWatch: 0.13 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP6529/SEU359+2.tptp
% 
%------------------------------------------------------------------------------