%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU290+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:41:33 AM UTC 2026
% Result : Theorem 131.15s 32.81s
% Output : CNFRefutation 131.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU290+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 09:09:21 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 131.15/32.81 % SZS status Theorem for theBenchmark.p
% 131.15/32.81 % SZS output start CNFRefutation for theBenchmark.p
% 131.15/32.81 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((element(X2,powerset('cartesian$uproduct2'(X0,X1))) => relation(X2)))).
% 131.15/32.81 fof(d1_funct_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => (((X1 = 'empty$uset' => X0 = 'empty$uset') => ('quasi$utotal'(X2,X0,X1) <=> X0 = 'relation$udom$uas$usubset'(X0,X1,X2))) & (X1 = 'empty$uset' => (X0 = 'empty$uset' | ('quasi$utotal'(X2,X0,X1) <=> X2 = 'empty$uset'))))))).
% 131.15/32.81 fof(d1_ordinal1, axiom, ! [X0] : succ(X0) = 'set$uunion2'(X0,singleton(X0))).
% 131.15/32.81 fof(d5_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)))))))))).
% 131.15/32.81 fof(dt_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => element(X2,powerset('cartesian$uproduct2'(X0,X1)))))).
% 131.15/32.81 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2'(X2,X0,X1) => 'relation$udom$uas$usubset'(X0,X1,X2) = 'relation$udom'(X2)))).
% 131.15/32.81 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) <=> 'relation$uof2'(X2,X0,X1)))).
% 131.15/32.81 fof(t14_relset_1, lemma, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('relation$uof2$uas$usubset'(X3,X2,X0) => (subset('relation$urng'(X3),X1) => 'relation$uof2$uas$usubset'(X3,X2,X1))))).
% 131.15/32.81 fof(t7_xboole_1, lemma, ! [X0] : ! [X1] : subset(X0,'set$uunion2'(X0,X1))).
% 131.15/32.81 fof(t6_funct_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (in(X2,X0) => (X1 = 'empty$uset' | in(apply(X3,X2),'relation$urng'(X3))))))).
% 131.15/32.81 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (in(X2,X0) => (X1 = 'empty$uset' | in(apply(X3,X2),'relation$urng'(X3)))))), inference(negate_conjecture, [status(cth)], [t6_funct_2])).
% 131.15/32.81 cnf(c6, plain, ~element(X0,powerset('cartesian$uproduct2'(X1,X2))) | relation(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 131.15/32.81 cnf(c125, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d1_funct_2])).
% 131.15/32.81 cnf(c126, plain, ~X0(X1,X2,X3) | X2 = 'empty$uset' | ~'quasi$utotal'(X3,X1,X2) | X1 = 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 131.15/32.81 cnf(c135, plain, succ(X0) = 'set$uunion2'(X0,singleton(X0)), inference(clausification, [status(esa)], [d1_ordinal1])).
% 131.15/32.81 cnf(c344, plain, ~relation(X0) | ~function(X0) | X1 != 'relation$urng'(X0) | X2(X0,X1), inference(clausification, [status(esa)], [d5_funct_1])).
% 131.15/32.81 cnf(c348, plain, ~X0(X1,X2) | in(X3,X2) | ~in(X4,'relation$udom'(X1)) | X3 != apply(X1,X4), inference(clausification, [status(esa)], [d5_funct_1])).
% 131.15/32.81 cnf(c467, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | element(X0,powerset('cartesian$uproduct2'(X1,X2))), inference(clausification, [status(esa)], [dt_m2_relset_1])).
% 131.15/32.81 cnf(c625, plain, ~'relation$uof2'(X0,X1,X2) | 'relation$udom$uas$usubset'(X1,X2,X0) = 'relation$udom'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 131.15/32.81 cnf(c630, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | 'relation$uof2'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 131.15/32.81 cnf(c885, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | ~subset('relation$urng'(X0),X3) | 'relation$uof2$uas$usubset'(X0,X1,X3), inference(clausification, [status(esa)], [t14_relset_1])).
% 131.15/32.81 cnf(c1087, plain, subset(X0,'set$uunion2'(X0,X1)), inference(clausification, [status(esa)], [t7_xboole_1])).
% 131.15/32.81 cnf(c1113, plain, function(sK1187), inference(clausification, [status(esa)], [negated_conjecture])).
% 131.15/32.81 cnf(c1114, plain, 'quasi$utotal'(sK1187,sK1184,sK1185), inference(clausification, [status(esa)], [negated_conjecture])).
% 131.15/32.81 cnf(c1115, plain, 'relation$uof2$uas$usubset'(sK1187,sK1184,sK1185), inference(clausification, [status(esa)], [negated_conjecture])).
% 131.15/32.81 cnf(c1116, plain, in(sK1186,sK1184), inference(clausification, [status(esa)], [negated_conjecture])).
% 131.15/32.82 cnf(c1117, plain, sK1185 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 131.15/32.82 cnf(c1118, plain, ~in(apply(sK1187,sK1186),'relation$urng'(sK1187)), inference(clausification, [status(esa)], [negated_conjecture])).
% 131.15/32.82 cnf(d0, plain, ~function(X0) | ~relation(X0) | 'Ts281'(X0,'relation$urng'(X0)), inference(equality_resolution, [status(thm)], [c344])).
% 131.15/32.82 cnf(d1, plain, sK1185 = 'empty$uset' | sK1184 = 'relation$udom$uas$usubset'(sK1184,sK1185,sK1187) | ~'Ts99'(sK1184,sK1185,sK1187), inference(resolution, [status(thm)], [c126,c1114])).
% 131.15/32.82 cnf(d2, plain, sK1184 = 'relation$udom$uas$usubset'(sK1184,sK1185,sK1187) | ~'Ts99'(sK1184,sK1185,sK1187), inference(resolution, [status(thm)], [c1117,d1])).
% 131.15/32.82 cnf(d3, plain, 'Ts99'(sK1184,sK1185,sK1187), inference(resolution, [status(thm)], [c125,c1115])).
% 131.15/32.82 cnf(d4, plain, sK1184 = 'relation$udom$uas$usubset'(sK1184,sK1185,sK1187), inference(resolution, [status(thm)], [d3,d2])).
% 131.15/32.82 cnf(d5, plain, 'relation$uof2'(sK1187,sK1184,sK1185), inference(resolution, [status(thm)], [c630,c1115])).
% 131.15/32.82 cnf(d6, plain, 'relation$udom$uas$usubset'(sK1184,sK1185,sK1187) = 'relation$udom'(sK1187), inference(resolution, [status(thm)], [d5,c625])).
% 131.15/32.82 cnf(d7, plain, sK1184 = 'relation$udom'(sK1187), inference(demodulation, [status(thm)], [d6,d4])).
% 131.15/32.82 cnf(d8, plain, ~in(X0,'relation$udom'(X1)) | in(apply(X1,X0),X2) | ~'Ts281'(X1,X2), inference(equality_resolution, [status(thm)], [c348])).
% 131.15/32.82 cnf(d9, plain, ~in(sK1186,'relation$udom'(sK1187)) | ~'Ts281'(sK1187,'relation$urng'(sK1187)), inference(resolution, [status(thm)], [d8,c1118])).
% 131.15/32.82 cnf(d10, plain, ~in(sK1186,sK1184) | ~'Ts281'(sK1187,'relation$urng'(sK1187)), inference(demodulation, [status(thm)], [d9,d7])).
% 131.15/32.82 cnf(d11, plain, ~'Ts281'(sK1187,'relation$urng'(sK1187)), inference(resolution, [status(thm)], [c1116,d10])).
% 131.15/32.82 cnf(d12, plain, ~function(sK1187) | ~relation(sK1187), inference(resolution, [status(thm)], [d11,d0])).
% 131.15/32.82 cnf(d13, plain, ~relation(sK1187), inference(resolution, [status(thm)], [c1113,d12])).
% 131.15/32.82 cnf(d14, plain, ~subset('relation$urng'(sK1187),X0) | 'relation$uof2$uas$usubset'(sK1187,sK1184,X0), inference(resolution, [status(thm)], [c885,c1115])).
% 131.15/32.82 cnf(d15, plain, 'relation$uof2$uas$usubset'(sK1187,sK1184,'set$uunion2'('relation$urng'(sK1187),X0)), inference(resolution, [status(thm)], [c1087,d14])).
% 131.15/32.82 cnf(d16, plain, 'relation$uof2$uas$usubset'(sK1187,sK1184,succ('relation$urng'(sK1187))), inference(superposition, [status(thm)], [c135,d15])).
% 131.15/32.82 cnf(d17, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | relation(X0), inference(resolution, [status(thm)], [c467,c6])).
% 131.15/32.82 cnf(d18, plain, relation(sK1187), inference(resolution, [status(thm)], [d17,d16])).
% 131.15/32.82 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d18,d13])).
% 131.15/32.82 % SZS output end CNFRefutation for theBenchmark.p
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