TSTP Solution File: SEU310+2 by SRASS---0.1
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%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU310+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 : art07.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 03:22:50 EST 2010
% Result : Theorem 104.49s
% Output : Solution 116.55s
% 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/SystemOnTPTP5952/SEU310+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~s1_xboole_0__e2_37_1_1__pre_topc__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 ... existence_m1_subset_1:
% CSA axiom existence_m1_subset_1 found
% Looking for CSA axiom ... l3_subset_1:
% CSA axiom l3_subset_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... l71_subset_1:
% CSA axiom l71_subset_1 found
% Looking for CSA axiom ... t1_subset: CSA axiom t1_subset found
% Looking for CSA axiom ... t3_ordinal1:
% CSA axiom t3_ordinal1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... t4_subset:
% t7_tarski:
% CSA axiom t7_tarski found
% Looking for CSA axiom ... s1_tarski__e2_37_1_1__pre_topc__1:
% CSA axiom s1_tarski__e2_37_1_1__pre_topc__1 found
% Looking for CSA axiom ... rc6_pre_topc:
% CSA axiom rc6_pre_topc found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :rc6_pre_topc:s1_tarski__e2_37_1_1__pre_topc__1:t7_tarski:t3_ordinal1:t1_subset:l71_subset_1:l3_subset_1:existence_m1_subset_1:antisymmetry_r2_hidden (9)
% Unselected axioms are ... :t4_subset:dt_k2_pre_topc:fc5_pre_topc:d4_xboole_0:t5_subset:t54_subset_1:t3_subset:rc1_subset_1:rc2_subset_1:cc16_membered:cc2_finset_1:d2_subset_1:t2_subset:dt_k2_subset_1:dt_k3_subset_1:dt_k5_setfam_1:dt_k5_subset_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:d5_subset_1:redefinition_k6_subset_1:fc3_relat_1:t15_pre_topc:t22_pre_topc:d3_pre_topc:t12_pre_topc:t33_xboole_1:t36_xboole_1:d1_zfmisc_1:t65_zfmisc_1:cc1_relset_1:commutativity_k5_subset_1:idempotence_k5_subset_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:dt_l1_pre_topc:existence_l1_lattices:existence_l1_struct_0:existence_l2_lattices:existence_m1_relset_1:existence_m2_relset_1:fc12_finset_1:fc1_subset_1:fc37_membered:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:s1_tarski__e8_6__wellord2__1:s1_xboole_0__e8_6__wellord2__1:t17_pre_topc:t1_xboole_1:t2_tarski:t7_boole:s1_tarski__e4_27_3_1__finset_1__1:s1_xboole_0__e4_27_3_1__finset_1:t50_subset_1:d8_setfam_1:l3_zfmisc_1:rc5_struct_0:cc17_membered:dt_m2_relset_1:d3_tarski:dt_k4_relset_1:dt_k5_relset_1:t136_zfmisc_1:s1_xboole_0__e6_22__wellord2:t23_ordinal1:s1_xboole_0__e6_27__finset_1:t10_ordinal1:t18_finset_1:t3_xboole_0:t143_relat_1:dt_k1_lattices:dt_k2_lattices:l82_funct_1:s1_tarski__e6_27__finset_1__1:d12_funct_1:d1_ordinal1:fc13_finset_1:rc3_finset_1:s2_ordinal1__e18_27__finset_1__1:t17_finset_1:t1_zfmisc_1:t33_ordinal1:t41_ordinal1:t42_ordinal1:d1_setfam_1:l23_zfmisc_1:t46_zfmisc_1:t86_relat_1:fc29_membered:fc30_membered:antisymmetry_r2_xboole_0:cc1_finset_1:cc1_finsub_1:cc1_ordinal1:cc2_finsub_1:cc2_ordinal1:commutativity_k2_tarski:commutativity_k2_xboole_0:commutativity_k3_xboole_0:d4_ordinal1:fc38_membered:idempotence_k2_xboole_0:idempotence_k3_xboole_0:irreflexivity_r2_xboole_0:rc1_finset_1:rc1_ordinal1:reflexivity_r2_wellord2:symmetry_r1_xboole_0:symmetry_r2_wellord2:t10_zfmisc_1:cc10_membered:d1_lattices:d2_lattices:l1_zfmisc_1:redefinition_k3_lattices:redefinition_k4_lattices:redefinition_k5_subset_1:s1_tarski__e18_27__finset_1__1:s1_xboole_0__e18_27__finset_1__1:t31_ordinal1:t3_boole:t46_setfam_1:t4_boole:t6_boole:d2_ordinal1:d4_subset_1:fc1_funct_1:fc4_funct_1:l25_zfmisc_1:l28_zfmisc_1:l2_zfmisc_1:l50_zfmisc_1:rc3_funct_1:redefinition_k5_setfam_1:redefinition_k6_setfam_1:s1_ordinal1__e8_6__wellord2:t145_relat_1:t146_relat_1:t1_boole:t21_funct_1:t2_boole:t37_zfmisc_1:t38_zfmisc_1:t39_xboole_1:t3_xboole_1:t40_xboole_1:t48_xboole_1:t69_enumset1:t83_xboole_1:t8_zfmisc_1:t92_zfmisc_1:t9_zfmisc_1:d13_relat_1:d1_xboole_0:d4_relat_1:d8_xboole_0:dt_k2_funct_1:fc2_funct_1:fc5_funct_1:rc2_partfun1:rc4_funct_1:s1_tarski__e6_22__wellord2__1:t12_xboole_1:t24_ordinal1:t28_xboole_1:t43_subset_1:t56_relat_1:t6_zfmisc_1:t99_zfmisc_1:t9_tarski:cc18_membered:cc1_relat_1:d10_xboole_0:d1_enumset1:d1_tarski:d2_tarski:d2_xboole_0:d3_ordinal1:d3_xboole_0:d4_tarski:rc1_relat_1:rc2_relat_1:s1_tarski__e16_22__wellord2__1:t145_funct_1:t146_funct_1:t8_boole:cc20_membered:d13_funct_1:d5_funct_1:d8_funct_1:involutiveness_k4_relat_1:l55_zfmisc_1:redefinition_k4_relset_1:redefinition_k5_relset_1:s1_ordinal2__e18_27__finset_1:s1_tarski__e16_22__wellord2__2:s1_xboole_0__e16_22__wellord2__1:s2_funct_1__e16_22__wellord2__1:s3_funct_1__e16_22__wellord2:t106_zfmisc_1:t20_relat_1:t22_funct_1:t23_funct_1:t26_finset_1:t34_funct_1:t70_funct_1:t8_funct_1:l32_xboole_1:l4_zfmisc_1:s1_relat_1__e6_21__wellord2:t118_zfmisc_1:t119_zfmisc_1:t13_finset_1:t16_relset_1:t37_xboole_1:t39_zfmisc_1:t45_xboole_1:d5_ordinal2:fc1_ordinal1:fc1_struct_0:fc2_subset_1:fc4_subset_1:t2_xboole_1:cc1_funct_1:cc3_membered:cc3_ordinal1:cc4_membered:d3_relat_1:d8_lattices:dt_l1_lattices:dt_l2_lattices:existence_l3_lattices:fc10_finset_1:fc11_finset_1:fc1_xboole_0:fc1_zfmisc_1:fc27_membered:fc28_membered:fc31_membered:fc32_membered:fc39_membered:fc4_ordinal1:fc9_finset_1:rc3_ordinal1:rc3_struct_0:redefinition_m2_relset_1:redefinition_r2_wellord2:t15_finset_1:cc11_membered:cc19_membered:cc1_arytm_3:connectedness_r1_ordinal1:d1_finset_1:d4_funct_1:dt_k3_lattices:dt_k4_lattices:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:reflexivity_r1_ordinal1:s1_funct_1__e10_24__wellord2__1:s1_funct_1__e16_22__wellord2__1:s2_funct_1__e10_24__wellord2:t144_relat_1:t16_wellord1:t174_relat_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t28_wellord2:t68_funct_1:cc2_funct_1:d1_relat_1:d2_relat_1:d3_wellord1:d5_tarski:l29_wellord1:rc1_partfun1:s1_tarski__e10_24__wellord2__2:s1_xboole_0__e10_24__wellord2__1:t167_relat_1:t21_ordinal1:t25_relat_1:t32_ordinal1:t44_relat_1:t60_relat_1:t60_xboole_1:t63_xboole_1:t72_funct_1:t7_xboole_1:t8_xboole_1:t9_funct_2:commutativity_k3_lattices:commutativity_k4_lattices:d1_funct_1:d1_relset_1:d3_lattices:d6_relat_1:d7_xboole_0:fc1_finset_1:fc3_funct_1:rc1_funct_1:rc1_funct_2:t26_lattices:t46_relat_1:t47_relat_1:t49_wellord1:t54_wellord1:t62_funct_1:t71_relat_1:d1_relat_2:d2_zfmisc_1:d4_wellord1:d6_ordinal1:d8_relat_2:d9_funct_1:fc13_relat_1:fc4_relat_1:fc5_relat_1:fc6_relat_1:fc7_relat_1:fc8_relat_1:l2_wellord1:l4_wellord1:rc2_funct_1:redefinition_r1_ordinal1:s1_tarski__e10_24__wellord2__1:t115_relat_1:t147_funct_1:t19_wellord1:t22_wellord1:t23_wellord1:t24_wellord1:t25_wellord1:t30_relat_1:t31_wellord1:t32_wellord1:t33_zfmisc_1:t4_xboole_0:t54_funct_1:cc12_membered:cc2_arytm_3:d1_mcart_1:d2_mcart_1:d2_wellord1:d4_wellord2:d7_wellord1:dt_k1_wellord2:dt_k2_wellord1:dt_k4_relat_1:dt_k5_relat_1:dt_k6_relat_1:dt_k7_relat_1:dt_k8_relat_1:fc10_relat_1:fc11_relat_1:fc1_ordinal2:fc1_relat_1:fc2_relat_1:fc33_membered:fc34_membered:fc3_ordinal1:fc40_membered:fc9_relat_1:rc1_arytm_3:rc3_relat_1:s1_tarski__e6_21__wellord2__1:s1_xboole_0__e6_21__wellord2__1:t117_relat_1:t140_relat_1:t160_relat_1:t178_relat_1:t23_lattices:t26_wellord2:t35_funct_1:t47_setfam_1:t48_setfam_1:t55_funct_1:t88_relat_1:d10_relat_1:d11_relat_1:d12_relat_1:d14_relat_1:d1_wellord1:d1_wellord2:d4_relat_2:d5_relat_1:d6_relat_2:d6_wellord1:d7_relat_1:d8_relat_1:fc6_membered:l3_wellord1:t21_funct_2:t21_relat_1:t37_relat_1:t57_funct_1:t64_relat_1:t65_relat_1:t90_relat_1:fc1_finsub_1:l1_wellord1:t119_relat_1:t14_relset_1:t166_relat_1:t17_wellord1:t18_wellord1:t22_relset_1:t23_relset_1:t74_relat_1:t94_relat_1:cc15_membered:cc1_membered:cc2_membered:d1_funct_2:dt_l3_lattices:fc12_relat_1:fc2_arytm_3:fc35_membered:fc36_membered:fc41_membered:rc1_membered:rc1_ordinal2:t12_relset_1:t25_wellord2:t3_wellord2:cc13_membered:cc3_arytm_3:rc2_finset_1:t20_wellord1:t21_wellord1:t46_funct_2:t4_wellord2:t6_funct_2:t6_wellord2:t7_wellord2:d12_relat_2:d14_relat_2:d16_relat_2:d9_relat_2:dt_k2_binop_1:rc2_ordinal1:t116_relat_1:t118_relat_1:t45_relat_1:t5_wellord1:t8_wellord1:t99_relat_1:cc14_membered:dt_u1_lattices:dt_u2_lattices:fc2_ordinal1:redefinition_k2_binop_1:t39_wellord1:t7_mcart_1:t2_wellord2:t5_wellord2:l30_wellord2:t53_wellord1: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 (491)
% SZS status THM for /tmp/SystemOnTPTP5952/SEU310+2.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP5952/SEU310+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 7850
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.70 CPU 4.01 WC
% PrfWatch: 5.28 CPU 6.02 WC
% PrfWatch: 7.15 CPU 8.02 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.14 CPU 10.03 WC
% PrfWatch: 11.13 CPU 12.03 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3]:![X4]:![X5]:((((X3=X4&in(set_difference(cast_as_carrier_subset(X1),X4),X2))&X3=X5)&in(set_difference(cast_as_carrier_subset(X1),X5),X2))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,powerset(the_carrier(X1)))&X5=X4)&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),file('/tmp/SRASS.s.p', s1_tarski__e2_37_1_1__pre_topc__1)).
% fof(10, conjecture,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))),file('/tmp/SRASS.s.p', s1_xboole_0__e2_37_1_1__pre_topc__1)).
% fof(11, negated_conjecture,~(![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),inference(assume_negation,[status(cth)],[10])).
% fof(19, plain,![X1]:![X2]:(((~(topological_space(X1))|~(top_str(X1)))|~(element(X2,powerset(powerset(the_carrier(X1))))))|(?[X3]:?[X4]:?[X5]:((((X3=X4&in(set_difference(cast_as_carrier_subset(X1),X4),X2))&X3=X5)&in(set_difference(cast_as_carrier_subset(X1),X5),X2))&~(X4=X5))|?[X3]:![X4]:((~(in(X4,X3))|?[X5]:((in(X5,powerset(the_carrier(X1)))&X5=X4)&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))&(![X5]:((~(in(X5,powerset(the_carrier(X1))))|~(X5=X4))|~(in(set_difference(cast_as_carrier_subset(X1),X4),X2)))|in(X4,X3))))),inference(fof_nnf,[status(thm)],[2])).
% fof(20, plain,![X6]:![X7]:(((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))|(?[X8]:?[X9]:?[X10]:((((X8=X9&in(set_difference(cast_as_carrier_subset(X6),X9),X7))&X8=X10)&in(set_difference(cast_as_carrier_subset(X6),X10),X7))&~(X9=X10))|?[X11]:![X12]:((~(in(X12,X11))|?[X13]:((in(X13,powerset(the_carrier(X6)))&X13=X12)&in(set_difference(cast_as_carrier_subset(X6),X12),X7)))&(![X14]:((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,X11))))),inference(variable_rename,[status(thm)],[19])).
% fof(21, plain,![X6]:![X7]:(((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))|(((((esk2_2(X6,X7)=esk3_2(X6,X7)&in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7))&esk2_2(X6,X7)=esk4_2(X6,X7))&in(set_difference(cast_as_carrier_subset(X6),esk4_2(X6,X7)),X7))&~(esk3_2(X6,X7)=esk4_2(X6,X7)))|![X12]:((~(in(X12,esk5_2(X6,X7)))|((in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))&esk6_3(X6,X7,X12)=X12)&in(set_difference(cast_as_carrier_subset(X6),X12),X7)))&(![X14]:((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7)))))),inference(skolemize,[status(esa)],[20])).
% fof(22, plain,![X6]:![X7]:![X12]:![X14]:((((((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7)))&(~(in(X12,esk5_2(X6,X7)))|((in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))&esk6_3(X6,X7,X12)=X12)&in(set_difference(cast_as_carrier_subset(X6),X12),X7))))|((((esk2_2(X6,X7)=esk3_2(X6,X7)&in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7))&esk2_2(X6,X7)=esk4_2(X6,X7))&in(set_difference(cast_as_carrier_subset(X6),esk4_2(X6,X7)),X7))&~(esk3_2(X6,X7)=esk4_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))),inference(shift_quantors,[status(thm)],[21])).
% fof(23, plain,![X6]:![X7]:![X12]:![X14]:(((((((esk2_2(X6,X7)=esk3_2(X6,X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk2_2(X6,X7)=esk4_2(X6,X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk4_2(X6,X7)),X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk3_2(X6,X7)=esk4_2(X6,X7))|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk5_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((((((((esk2_2(X6,X7)=esk3_2(X6,X7)|(in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk2_2(X6,X7)=esk4_2(X6,X7)|(in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk4_2(X6,X7)),X7)|(in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk3_2(X6,X7)=esk4_2(X6,X7))|(in(esk6_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((((((esk2_2(X6,X7)=esk3_2(X6,X7)|(esk6_3(X6,X7,X12)=X12|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(esk6_3(X6,X7,X12)=X12|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk2_2(X6,X7)=esk4_2(X6,X7)|(esk6_3(X6,X7,X12)=X12|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk4_2(X6,X7)),X7)|(esk6_3(X6,X7,X12)=X12|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk3_2(X6,X7)=esk4_2(X6,X7))|(esk6_3(X6,X7,X12)=X12|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))))&((((((esk2_2(X6,X7)=esk3_2(X6,X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk2_2(X6,X7)=esk4_2(X6,X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk4_2(X6,X7)),X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk3_2(X6,X7)=esk4_2(X6,X7))|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk5_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))))),inference(distribute,[status(thm)],[22])).
% cnf(24,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))|esk3_2(X2,X1)!=esk4_2(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(26,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|esk2_2(X2,X1)=esk4_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(28,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|esk2_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(29,plain,(esk6_3(X2,X1,X3)=X3|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))|esk3_2(X2,X1)!=esk4_2(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(31,plain,(esk6_3(X2,X1,X3)=X3|esk2_2(X2,X1)=esk4_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(33,plain,(esk6_3(X2,X1,X3)=X3|esk2_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(34,plain,(in(esk6_3(X2,X1,X3),powerset(the_carrier(X2)))|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))|esk3_2(X2,X1)!=esk4_2(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(36,plain,(in(esk6_3(X2,X1,X3),powerset(the_carrier(X2)))|esk2_2(X2,X1)=esk4_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(38,plain,(in(esk6_3(X2,X1,X3),powerset(the_carrier(X2)))|esk2_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk5_2(X2,X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(39,plain,(in(X3,esk5_2(X2,X1))|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|X4!=X3|~in(X4,powerset(the_carrier(X2)))|esk3_2(X2,X1)!=esk4_2(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(41,plain,(in(X3,esk5_2(X2,X1))|esk2_2(X2,X1)=esk4_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|X4!=X3|~in(X4,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[23])).
% cnf(43,plain,(in(X3,esk5_2(X2,X1))|esk2_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|X4!=X3|~in(X4,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[23])).
% fof(73, negated_conjecture,?[X1]:?[X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))&![X3]:?[X4]:((~(in(X4,X3))|(~(in(X4,powerset(the_carrier(X1))))|~(in(set_difference(cast_as_carrier_subset(X1),X4),X2))))&(in(X4,X3)|(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),inference(fof_nnf,[status(thm)],[11])).
% fof(74, negated_conjecture,?[X5]:?[X6]:(((topological_space(X5)&top_str(X5))&element(X6,powerset(powerset(the_carrier(X5)))))&![X7]:?[X8]:((~(in(X8,X7))|(~(in(X8,powerset(the_carrier(X5))))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6))))&(in(X8,X7)|(in(X8,powerset(the_carrier(X5)))&in(set_difference(cast_as_carrier_subset(X5),X8),X6))))),inference(variable_rename,[status(thm)],[73])).
% fof(75, negated_conjecture,(((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))&![X7]:((~(in(esk12_1(X7),X7))|(~(in(esk12_1(X7),powerset(the_carrier(esk10_0))))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&(in(esk12_1(X7),X7)|(in(esk12_1(X7),powerset(the_carrier(esk10_0)))&in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))),inference(skolemize,[status(esa)],[74])).
% fof(76, negated_conjecture,![X7]:(((~(in(esk12_1(X7),X7))|(~(in(esk12_1(X7),powerset(the_carrier(esk10_0))))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&(in(esk12_1(X7),X7)|(in(esk12_1(X7),powerset(the_carrier(esk10_0)))&in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))),inference(shift_quantors,[status(thm)],[75])).
% fof(77, negated_conjecture,![X7]:(((~(in(esk12_1(X7),X7))|(~(in(esk12_1(X7),powerset(the_carrier(esk10_0))))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&((in(esk12_1(X7),powerset(the_carrier(esk10_0)))|in(esk12_1(X7),X7))&(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)|in(esk12_1(X7),X7))))&((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))),inference(distribute,[status(thm)],[76])).
% cnf(78,negated_conjecture,(element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(split_conjunct,[status(thm)],[77])).
% cnf(79,negated_conjecture,(top_str(esk10_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(80,negated_conjecture,(topological_space(esk10_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(81,negated_conjecture,(in(esk12_1(X1),X1)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X1)),esk11_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(82,negated_conjecture,(in(esk12_1(X1),X1)|in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(split_conjunct,[status(thm)],[77])).
% cnf(83,negated_conjecture,(~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X1)),esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)),inference(split_conjunct,[status(thm)],[77])).
% cnf(84,plain,(esk2_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk5_2(X1,X2))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1)),inference(er,[status(thm)],[43,theory(equality)])).
% cnf(86,plain,(esk2_2(X1,X2)=esk4_2(X1,X2)|in(X3,esk5_2(X1,X2))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1)),inference(er,[status(thm)],[41,theory(equality)])).
% cnf(87,plain,(in(X1,esk5_2(X2,X3))|esk4_2(X2,X3)!=esk3_2(X2,X3)|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)),inference(er,[status(thm)],[39,theory(equality)])).
% cnf(121,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[83,28,theory(equality)])).
% cnf(122,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[83,26,theory(equality)])).
% cnf(123,negated_conjecture,(~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[83,24,theory(equality)])).
% cnf(125,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[121,78,theory(equality)])).
% cnf(126,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[125,79,theory(equality)])).
% cnf(127,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|$false|$false),inference(rw,[status(thm)],[126,80,theory(equality)])).
% cnf(128,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[127,theory(equality)])).
% cnf(129,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[122,78,theory(equality)])).
% cnf(130,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[129,79,theory(equality)])).
% cnf(131,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|$false|$false),inference(rw,[status(thm)],[130,80,theory(equality)])).
% cnf(132,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[131,theory(equality)])).
% cnf(133,negated_conjecture,(~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[123,78,theory(equality)])).
% cnf(134,negated_conjecture,(~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[133,79,theory(equality)])).
% cnf(135,negated_conjecture,(~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|$false|$false|$false),inference(rw,[status(thm)],[134,80,theory(equality)])).
% cnf(136,negated_conjecture,(~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[135,theory(equality)])).
% cnf(143,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[33,78,theory(equality)])).
% cnf(146,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[143,79,theory(equality)])).
% cnf(147,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false),inference(rw,[status(thm)],[146,80,theory(equality)])).
% cnf(148,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[147,theory(equality)])).
% cnf(149,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[31,78,theory(equality)])).
% cnf(152,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[149,79,theory(equality)])).
% cnf(153,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false),inference(rw,[status(thm)],[152,80,theory(equality)])).
% cnf(154,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[153,theory(equality)])).
% cnf(155,negated_conjecture,(esk6_3(esk10_0,esk11_0,X1)=X1|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[29,78,theory(equality)])).
% cnf(158,negated_conjecture,(esk6_3(esk10_0,esk11_0,X1)=X1|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[155,79,theory(equality)])).
% cnf(159,negated_conjecture,(esk6_3(esk10_0,esk11_0,X1)=X1|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false),inference(rw,[status(thm)],[158,80,theory(equality)])).
% cnf(160,negated_conjecture,(esk6_3(esk10_0,esk11_0,X1)=X1|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[159,theory(equality)])).
% cnf(163,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[84,81,theory(equality)])).
% cnf(167,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[163,78,theory(equality)])).
% cnf(168,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[167,79,theory(equality)])).
% cnf(169,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|$false|$false),inference(rw,[status(thm)],[168,80,theory(equality)])).
% cnf(170,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[169,theory(equality)])).
% cnf(171,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[86,81,theory(equality)])).
% cnf(175,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[171,78,theory(equality)])).
% cnf(176,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[175,79,theory(equality)])).
% cnf(177,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|$false|$false),inference(rw,[status(thm)],[176,80,theory(equality)])).
% cnf(178,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[177,theory(equality)])).
% cnf(179,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[87,81,theory(equality)])).
% cnf(183,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[179,78,theory(equality)])).
% cnf(184,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[183,79,theory(equality)])).
% cnf(185,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|$false|$false|$false),inference(rw,[status(thm)],[184,80,theory(equality)])).
% cnf(186,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[185,theory(equality)])).
% cnf(2450,negated_conjecture,(in(X1,powerset(the_carrier(esk10_0)))|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[34,160,theory(equality)])).
% cnf(2459,negated_conjecture,(in(X1,powerset(the_carrier(esk10_0)))|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[2450,78,theory(equality)])).
% cnf(2460,negated_conjecture,(in(X1,powerset(the_carrier(esk10_0)))|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[2459,79,theory(equality)])).
% cnf(2461,negated_conjecture,(in(X1,powerset(the_carrier(esk10_0)))|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false|$false),inference(rw,[status(thm)],[2460,80,theory(equality)])).
% cnf(2462,negated_conjecture,(in(X1,powerset(the_carrier(esk10_0)))|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)|~in(X1,esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[2461,theory(equality)])).
% cnf(2884,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)),inference(csr,[status(thm)],[170,82])).
% cnf(2885,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(ef,[status(thm)],[2884,theory(equality)])).
% cnf(3033,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,esk12_1(esk5_2(esk10_0,esk11_0)))=esk12_1(esk5_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[148,2885,theory(equality)])).
% cnf(3035,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[128,2885,theory(equality)])).
% cnf(3038,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)),inference(csr,[status(thm)],[178,82])).
% cnf(3039,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(ef,[status(thm)],[3038,theory(equality)])).
% cnf(3203,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|esk4_2(esk10_0,esk11_0)!=esk3_2(esk10_0,esk11_0)),inference(csr,[status(thm)],[186,82])).
% cnf(3842,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[132,3039,theory(equality)])).
% cnf(4721,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[38,3033,theory(equality)])).
% cnf(4726,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[4721,78,theory(equality)])).
% cnf(4727,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[4726,79,theory(equality)])).
% cnf(4728,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))|$false|$false|$false),inference(rw,[status(thm)],[4727,80,theory(equality)])).
% cnf(4729,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[4728,theory(equality)])).
% cnf(13239,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|~in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(csr,[status(thm)],[3035,2885])).
% cnf(13882,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(csr,[status(thm)],[3842,3039])).
% cnf(185493,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(csr,[status(thm)],[4729,82])).
% cnf(185494,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)),inference(csr,[status(thm)],[185493,13239])).
% cnf(185700,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|~in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[13882,185494,theory(equality)])).
% cnf(185776,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[154,185494,theory(equality)])).
% cnf(185825,negated_conjecture,(esk6_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk5_2(esk10_0,esk11_0))),inference(csr,[status(thm)],[185776,160])).
% cnf(185827,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[36,185825,theory(equality)])).
% cnf(185839,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[185827,185494,theory(equality)])).
% cnf(185840,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[185839,78,theory(equality)])).
% cnf(185841,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[185840,79,theory(equality)])).
% cnf(185842,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))|$false|$false|$false),inference(rw,[status(thm)],[185841,80,theory(equality)])).
% cnf(185843,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk4_2(esk10_0,esk11_0)|in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[185842,theory(equality)])).
% cnf(185862,negated_conjecture,(in(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk5_2(esk10_0,esk11_0))),inference(csr,[status(thm)],[185843,2462])).
% cnf(185875,negated_conjecture,(in(esk12_1(esk5_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[185862,82,theory(equality)])).
% cnf(185945,negated_conjecture,(esk4_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|$false),inference(rw,[status(thm)],[185700,185875,theory(equality)])).
% cnf(185946,negated_conjecture,(esk4_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)),inference(cn,[status(thm)],[185945,theory(equality)])).
% cnf(186211,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|$false),inference(rw,[status(thm)],[3203,185946,theory(equality)])).
% cnf(186212,negated_conjecture,(in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)),inference(cn,[status(thm)],[186211,theory(equality)])).
% cnf(186213,negated_conjecture,($false|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|~in(esk12_1(X1),X1)),inference(rw,[status(thm)],[136,185946,theory(equality)])).
% cnf(186214,negated_conjecture,(~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|~in(esk12_1(X1),X1)),inference(cn,[status(thm)],[186213,theory(equality)])).
% cnf(186215,negated_conjecture,(in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(ef,[status(thm)],[186212,theory(equality)])).
% cnf(191469,negated_conjecture,(~in(esk12_1(X1),esk5_2(esk10_0,esk11_0))|~in(esk12_1(X1),X1)),inference(csr,[status(thm)],[186214,185862])).
% cnf(191487,negated_conjecture,(~in(esk12_1(esk5_2(esk10_0,esk11_0)),esk5_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[191469,186215,theory(equality)])).
% cnf(191496,negated_conjecture,($false),inference(rw,[status(thm)],[191487,186215,theory(equality)])).
% cnf(191497,negated_conjecture,($false),inference(cn,[status(thm)],[191496,theory(equality)])).
% cnf(191498,negated_conjecture,($false),191497,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4170
% # ...of these trivial : 43
% # ...subsumed : 827
% # ...remaining for further processing: 3300
% # Other redundant clauses eliminated : 5
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 76
% # Backward-rewritten : 478
% # Generated clauses : 183645
% # ...of the previous two non-trivial : 183472
% # Contextual simplify-reflections : 497
% # Paramodulations : 183590
% # Factorizations : 50
% # Equation resolutions : 5
% # Current number of processed clauses: 2704
% # Positive orientable unit clauses: 44
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 30
% # Non-unit-clauses : 2630
% # Current number of unprocessed clauses: 148545
% # ...number of literals in the above : 692887
% # Clause-clause subsumption calls (NU) : 209935
% # Rec. Clause-clause subsumption calls : 127891
% # Unit Clause-clause subsumption calls : 681
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 726
% # Indexed BW rewrite successes : 7
% # Backwards rewriting index: 600 leaves, 5.48+/-11.691 terms/leaf
% # Paramod-from index: 103 leaves, 6.50+/-14.445 terms/leaf
% # Paramod-into index: 409 leaves, 5.92+/-11.848 terms/leaf
% # -------------------------------------------------
% # User time : 8.721 s
% # System time : 0.222 s
% # Total time : 8.943 s
% # Maximum resident set size: 0 pages
% PrfWatch: 11.68 CPU 12.59 WC
% FINAL PrfWatch: 11.68 CPU 12.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP5952/SEU310+2.tptp
%
%------------------------------------------------------------------------------