%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU261+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 08:41:28 AM UTC 2026
% Result : Theorem 13.99s 2.47s
% Output : CNFRefutation 13.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU261+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n005.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 09:00:32 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.99/2.47 % SZS status Theorem for theBenchmark.p
% 13.99/2.47 % SZS output start CNFRefutation for theBenchmark.p
% 13.99/2.47 fof(d4_wellord1, axiom, ! [X0] : ((relation(X0) => ('well$uordering'(X0) <=> (reflexive(X0) & (transitive(X0) & (antisymmetric(X0) & (connected(X0) & 'well$ufounded$urelation'(X0))))))))).
% 13.99/2.47 fof(t53_wellord1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((relation(X1) => ! [X2] : (((relation(X2) & function(X2)) => ('relation$uisomorphism'(X0,X1,X2) => ((reflexive(X0) => reflexive(X1)) & ((transitive(X0) => transitive(X1)) & ((connected(X0) => connected(X1)) & ((antisymmetric(X0) => antisymmetric(X1)) & ('well$ufounded$urelation'(X0) => 'well$ufounded$urelation'(X1)))))))))))))).
% 13.99/2.47 fof(t54_wellord1, conjecture, ! [X0] : ((relation(X0) => ! [X1] : ((relation(X1) => ! [X2] : (((relation(X2) & function(X2)) => (('well$uordering'(X0) & 'relation$uisomorphism'(X0,X1,X2)) => 'well$uordering'(X1))))))))).
% 13.99/2.47 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((relation(X0) => ! [X1] : ((relation(X1) => ! [X2] : (((relation(X2) & function(X2)) => (('well$uordering'(X0) & 'relation$uisomorphism'(X0,X1,X2)) => 'well$uordering'(X1)))))))), inference(negate_conjecture, [status(cth)], [t54_wellord1])).
% 13.99/2.47 cnf(c0, plain, ~relation(X0) | ~'well$uordering'(X0) | X1(X0), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c1, plain, ~relation(X0) | 'well$uordering'(X0) | ~X1(X0), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c2, plain, ~X0(X1) | reflexive(X1), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c3, plain, ~X0(X1) | transitive(X1), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c4, plain, ~X0(X1) | antisymmetric(X1), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c5, plain, ~X0(X1) | connected(X1), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c6, plain, ~X0(X1) | 'well$ufounded$urelation'(X1), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c7, plain, ~'well$ufounded$urelation'(X0) | X1(X0) | ~connected(X0) | ~antisymmetric(X0) | ~transitive(X0) | ~reflexive(X0), inference(clausification, [status(esa)], [d4_wellord1])).
% 13.99/2.47 cnf(c10, plain, ~relation(X0) | ~'relation$uisomorphism'(X1,X0,X2) | X3(X1,X0) | ~relation(X1) | ~function(X2) | ~relation(X2), inference(clausification, [status(esa)], [t53_wellord1])).
% 13.99/2.47 cnf(c11, plain, ~X0(X1,X2) | ~reflexive(X1) | reflexive(X2), inference(clausification, [status(esa)], [t53_wellord1])).
% 13.99/2.47 cnf(c12, plain, ~X0(X1,X2) | ~transitive(X1) | transitive(X2), inference(clausification, [status(esa)], [t53_wellord1])).
% 13.99/2.47 cnf(c13, plain, ~X0(X1,X2) | ~connected(X1) | connected(X2), inference(clausification, [status(esa)], [t53_wellord1])).
% 13.99/2.47 cnf(c14, plain, ~X0(X1,X2) | ~antisymmetric(X1) | antisymmetric(X2), inference(clausification, [status(esa)], [t53_wellord1])).
% 13.99/2.47 cnf(c15, plain, ~X0(X1,X2) | ~'well$ufounded$urelation'(X1) | 'well$ufounded$urelation'(X2), inference(clausification, [status(esa)], [t53_wellord1])).
% 13.99/2.47 cnf(c16, plain, relation(sK7), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(c17, plain, relation(sK8), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(c18, plain, relation(sK9), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(c19, plain, function(sK9), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(c20, plain, 'well$uordering'(sK7), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(c21, plain, 'relation$uisomorphism'(sK7,sK8,sK9), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(c22, plain, ~'well$uordering'(sK8), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.99/2.47 cnf(d0, plain, ~relation(sK8) | ~relation(sK7) | ~relation(sK9) | ~function(sK9) | 'Ts3'(sK7,sK8), inference(resolution, [status(thm)], [c10,c21])).
% 13.99/2.47 cnf(d1, plain, ~relation(sK8) | ~relation(sK9) | ~function(sK9) | 'Ts3'(sK7,sK8), inference(resolution, [status(thm)], [c16,d0])).
% 13.99/2.47 cnf(d2, plain, ~relation(sK9) | ~function(sK9) | 'Ts3'(sK7,sK8), inference(resolution, [status(thm)], [c17,d1])).
% 13.99/2.47 cnf(d3, plain, ~function(sK9) | 'Ts3'(sK7,sK8), inference(resolution, [status(thm)], [c18,d2])).
% 13.99/2.47 cnf(d4, plain, 'Ts3'(sK7,sK8), inference(resolution, [status(thm)], [c19,d3])).
% 13.99/2.47 cnf(d5, plain, 'well$ufounded$urelation'(sK8) | ~'well$ufounded$urelation'(sK7), inference(resolution, [status(thm)], [d4,c15])).
% 13.99/2.47 cnf(d6, plain, ~'well$uordering'(sK7) | 'Ts0'(sK7), inference(resolution, [status(thm)], [c0,c16])).
% 13.99/2.47 cnf(d7, plain, 'Ts0'(sK7), inference(resolution, [status(thm)], [c20,d6])).
% 13.99/2.47 cnf(d8, plain, 'well$ufounded$urelation'(sK7), inference(resolution, [status(thm)], [d7,c6])).
% 13.99/2.47 cnf(d9, plain, 'well$ufounded$urelation'(sK8), inference(resolution, [status(thm)], [d8,d5])).
% 13.99/2.47 cnf(d10, plain, 'Ts0'(sK8) | ~reflexive(sK8) | ~transitive(sK8) | ~antisymmetric(sK8) | ~connected(sK8), inference(resolution, [status(thm)], [d9,c7])).
% 13.99/2.47 cnf(d11, plain, reflexive(sK8) | ~reflexive(sK7), inference(resolution, [status(thm)], [d4,c11])).
% 13.99/2.47 cnf(d12, plain, reflexive(sK7), inference(resolution, [status(thm)], [d7,c2])).
% 13.99/2.47 cnf(d13, plain, reflexive(sK8), inference(resolution, [status(thm)], [d12,d11])).
% 13.99/2.47 cnf(d14, plain, 'Ts0'(sK8) | ~transitive(sK8) | ~antisymmetric(sK8) | ~connected(sK8), inference(resolution, [status(thm)], [d13,d10])).
% 13.99/2.47 cnf(d15, plain, antisymmetric(sK8) | ~antisymmetric(sK7), inference(resolution, [status(thm)], [d4,c14])).
% 13.99/2.47 cnf(d16, plain, antisymmetric(sK7), inference(resolution, [status(thm)], [d7,c4])).
% 13.99/2.47 cnf(d17, plain, antisymmetric(sK8), inference(resolution, [status(thm)], [d16,d15])).
% 13.99/2.47 cnf(d18, plain, 'Ts0'(sK8) | ~transitive(sK8) | ~connected(sK8), inference(resolution, [status(thm)], [d17,d14])).
% 13.99/2.47 cnf(d19, plain, connected(sK8) | ~connected(sK7), inference(resolution, [status(thm)], [d4,c13])).
% 13.99/2.47 cnf(d20, plain, connected(sK7), inference(resolution, [status(thm)], [d7,c5])).
% 13.99/2.47 cnf(d21, plain, connected(sK8), inference(resolution, [status(thm)], [d20,d19])).
% 13.99/2.47 cnf(d22, plain, 'Ts0'(sK8) | ~transitive(sK8), inference(resolution, [status(thm)], [d21,d18])).
% 13.99/2.47 cnf(d23, plain, transitive(sK8) | ~transitive(sK7), inference(resolution, [status(thm)], [d4,c12])).
% 13.99/2.47 cnf(d24, plain, transitive(sK7), inference(resolution, [status(thm)], [d7,c3])).
% 13.99/2.47 cnf(d25, plain, transitive(sK8), inference(resolution, [status(thm)], [d24,d23])).
% 13.99/2.47 cnf(d26, plain, 'Ts0'(sK8), inference(resolution, [status(thm)], [d25,d22])).
% 13.99/2.47 cnf(d27, plain, 'well$uordering'(sK8) | ~relation(sK8), inference(resolution, [status(thm)], [d26,c1])).
% 13.99/2.47 cnf(d28, plain, 'well$uordering'(sK8), inference(resolution, [status(thm)], [c17,d27])).
% 13.99/2.47 cnf(d29, plain, $false, inference(resolution, [status(thm)], [c22,d28])).
% 13.99/2.47 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------