%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:48:51 AM UTC 2026
% Result : Theorem 10.91s 2.04s
% Output : CNFRefutation 10.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 11:12:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/2.04 % SZS status Theorem for theBenchmark.p
% 10.91/2.04 % SZS output start CNFRefutation for theBenchmark.p
% 10.91/2.04 fof(true_only_g, axiom, ! [X0] : ! [X1] : (('g$utrue$uonly'(X0,X1) <=> ('g$utrue'(X0,X1) & ~'g$ufalse'(X0,X1))))).
% 10.91/2.04 fof(both_g, axiom, ! [X0] : ! [X1] : (('g$uboth'(X0,X1) <=> ('g$utrue'(X0,X1) & 'g$ufalse'(X0,X1))))).
% 10.91/2.04 fof(false_only_g, axiom, ! [X0] : ! [X1] : (('g$ufalse$uonly'(X0,X1) <=> ('g$ufalse'(X0,X1) & ~'g$utrue'(X0,X1))))).
% 10.91/2.04 fof(exhaustion_g, axiom, ! [X0] : ! [X1] : (('g$utrue$uonly'(X0,X1) | ('g$uboth'(X0,X1) | 'g$ufalse$uonly'(X0,X1))))).
% 10.91/2.04 fof(nc1, conjecture, (! [X0] : ? [X1] : ((('g$utrue$uonly'(X1,X0) & ('g$uboth'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | (('g$uboth'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | ('g$ufalse$uonly'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$uboth'(X1,X1)))))) | (? [X0] : ((? [X1] : (('g$uboth'(X1,X0) & 'g$uboth'(X1,X1))) & ~? [X1] : ((('g$utrue$uonly'(X1,X0) & ('g$uboth'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | (('g$uboth'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | ('g$ufalse$uonly'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$uboth'(X1,X1)))))))) & ~? [X0] : ! [X1] : ((('g$utrue$uonly'(X1,X0) & 'g$ufalse$uonly'(X1,X1)) | ('g$ufalse$uonly'(X1,X0) & 'g$utrue$uonly'(X1,X1))))))).
% 10.91/2.04 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ? [X1] : ((('g$utrue$uonly'(X1,X0) & ('g$uboth'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | (('g$uboth'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | ('g$ufalse$uonly'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$uboth'(X1,X1)))))) | (? [X0] : ((? [X1] : (('g$uboth'(X1,X0) & 'g$uboth'(X1,X1))) & ~? [X1] : ((('g$utrue$uonly'(X1,X0) & ('g$uboth'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | (('g$uboth'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$utrue$uonly'(X1,X1))) | ('g$ufalse$uonly'(X1,X0) & ('g$ufalse$uonly'(X1,X1) | 'g$uboth'(X1,X1)))))))) & ~? [X0] : ! [X1] : ((('g$utrue$uonly'(X1,X0) & 'g$ufalse$uonly'(X1,X1)) | ('g$ufalse$uonly'(X1,X0) & 'g$utrue$uonly'(X1,X1))))))), inference(negate_conjecture, [status(cth)], [nc1])).
% 10.91/2.04 cnf(c0, plain, ~'g$utrue$uonly'(X0,X1) | 'g$utrue'(X0,X1), inference(clausification, [status(esa)], [true_only_g])).
% 10.91/2.04 cnf(c1, plain, ~'g$utrue$uonly'(X0,X1) | ~'g$ufalse'(X0,X1), inference(clausification, [status(esa)], [true_only_g])).
% 10.91/2.04 cnf(c3, plain, ~'g$uboth'(X0,X1) | 'g$utrue'(X0,X1), inference(clausification, [status(esa)], [both_g])).
% 10.91/2.04 cnf(c4, plain, ~'g$uboth'(X0,X1) | 'g$ufalse'(X0,X1), inference(clausification, [status(esa)], [both_g])).
% 10.91/2.04 cnf(c6, plain, ~'g$ufalse$uonly'(X0,X1) | 'g$ufalse'(X0,X1), inference(clausification, [status(esa)], [false_only_g])).
% 10.91/2.04 cnf(c7, plain, ~'g$ufalse$uonly'(X0,X1) | ~'g$utrue'(X0,X1), inference(clausification, [status(esa)], [false_only_g])).
% 10.91/2.04 cnf(c9, plain, 'g$utrue$uonly'(X0,X1) | 'g$uboth'(X0,X1) | 'g$ufalse$uonly'(X0,X1), inference(clausification, [status(esa)], [exhaustion_g])).
% 10.91/2.04 cnf(c10, plain, ~'g$utrue$uonly'(X0,sK10) | ~'g$uboth'(X0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c11, plain, ~'g$utrue$uonly'(X0,sK10) | ~'g$utrue$uonly'(X0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c12, plain, ~'g$uboth'(X0,sK10) | ~'g$ufalse$uonly'(X0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c13, plain, ~'g$uboth'(X0,sK10) | ~'g$utrue$uonly'(X0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c14, plain, ~'g$ufalse$uonly'(X0,sK10) | ~'g$ufalse$uonly'(X0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c15, plain, ~'g$ufalse$uonly'(X0,sK10) | ~'g$uboth'(X0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c16, plain, ~'g$uboth'(X0,X0) | X1(X2,sK14(X2)) | 'g$utrue$uonly'(sK14(X2),X2) | ~'g$uboth'(X0,X2) | ~X3, inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c17, plain, ~'g$uboth'(X0,X0) | 'g$uboth'(sK14(X1),sK14(X1)) | X2(X1,sK14(X1)) | ~'g$uboth'(X0,X1) | 'g$utrue$uonly'(sK14(X1),sK14(X1)) | ~X3, inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c18, plain, ~X0(X1,X2) | 'g$uboth'(X2,X1) | 'g$ufalse$uonly'(X2,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c19, plain, ~X0(X1,X2) | 'g$uboth'(X2,X1) | 'g$ufalse$uonly'(X2,X2) | 'g$uboth'(X2,X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c20, plain, ~X0(X1,X2) | 'g$ufalse$uonly'(X2,X2) | 'g$utrue$uonly'(X2,X2) | 'g$ufalse$uonly'(X2,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c23, plain, X0 | 'g$utrue$uonly'(X1,sK15) | 'g$utrue$uonly'(X1,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(c24, plain, X0 | 'g$ufalse$uonly'(X1,X1) | 'g$ufalse$uonly'(X1,sK15), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.91/2.04 cnf(d0, plain, 'g$utrue$uonly'(sK15,sK15) | 'Ts9', inference(factoring, [status(thm)], [c23])).
% 10.91/2.04 cnf(d1, plain, 'Ts9' | 'g$utrue'(sK15,sK15), inference(resolution, [status(thm)], [d0,c0])).
% 10.91/2.04 cnf(d2, plain, 'g$ufalse$uonly'(sK15,sK15) | 'Ts9', inference(factoring, [status(thm)], [c24])).
% 10.91/2.04 cnf(d3, plain, 'Ts9' | ~'g$utrue'(sK15,sK15), inference(resolution, [status(thm)], [d2,c7])).
% 10.91/2.04 cnf(d4, plain, 'Ts9' | 'Ts9', inference(resolution, [status(thm)], [d3,d1])).
% 10.91/2.04 cnf(d5, plain, 'g$utrue$uonly'(sK14(X0),X0) | ~'g$uboth'(X1,X0) | ~'g$uboth'(X1,X1) | 'Ts8'(X0,sK14(X0)), inference(resolution, [status(thm)], [d4,c16])).
% 10.91/2.04 cnf(d6, plain, 'g$uboth'(X0,sK10) | 'g$ufalse$uonly'(X0,sK10) | ~'g$utrue$uonly'(X0,X0), inference(resolution, [status(thm)], [c9,c11])).
% 10.91/2.04 cnf(d7, plain, 'g$uboth'(X0,sK10) | 'g$ufalse$uonly'(X0,sK10) | 'g$uboth'(X0,X0) | 'g$ufalse$uonly'(X0,X0), inference(resolution, [status(thm)], [d6,c9])).
% 10.91/2.04 cnf(d8, plain, 'g$uboth'(sK10,sK10) | 'g$uboth'(sK10,sK10) | 'g$ufalse$uonly'(sK10,sK10), inference(factoring, [status(thm)], [d7])).
% 10.91/2.04 cnf(d9, plain, 'g$uboth'(sK10,sK10) | ~'g$ufalse$uonly'(sK10,sK10), inference(resolution, [status(thm)], [d8,c14])).
% 10.91/2.04 cnf(d10, plain, 'g$uboth'(sK10,sK10) | 'g$uboth'(sK10,sK10), inference(resolution, [status(thm)], [d9,d8])).
% 10.91/2.04 cnf(d11, plain, 'g$utrue$uonly'(sK14(sK10),sK10) | ~'g$uboth'(sK10,sK10) | 'Ts8'(sK10,sK14(sK10)), inference(resolution, [status(thm)], [d10,d5])).
% 10.91/2.04 cnf(d12, plain, 'g$utrue$uonly'(sK14(sK10),sK10) | 'Ts8'(sK10,sK14(sK10)), inference(resolution, [status(thm)], [d10,d11])).
% 10.91/2.04 cnf(d13, plain, 'g$utrue$uonly'(sK14(sK10),sK10) | 'g$utrue$uonly'(sK14(sK10),sK14(sK10)) | 'g$ufalse$uonly'(sK14(sK10),sK14(sK10)) | 'g$ufalse$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d12,c20])).
% 10.91/2.04 cnf(d14, plain, 'g$utrue$uonly'(sK14(X0),sK14(X0)) | ~'g$uboth'(X1,X0) | ~'g$uboth'(X1,X1) | 'g$uboth'(sK14(X0),sK14(X0)) | 'Ts8'(X0,sK14(X0)), inference(resolution, [status(thm)], [d4,c17])).
% 10.91/2.04 cnf(d15, plain, 'g$utrue$uonly'(sK14(sK10),sK14(sK10)) | ~'g$uboth'(sK10,sK10) | 'g$uboth'(sK14(sK10),sK14(sK10)) | 'Ts8'(sK10,sK14(sK10)), inference(resolution, [status(thm)], [d10,d14])).
% 10.91/2.04 cnf(d16, plain, 'g$utrue$uonly'(sK14(sK10),sK14(sK10)) | 'g$uboth'(sK14(sK10),sK14(sK10)) | 'Ts8'(sK10,sK14(sK10)), inference(resolution, [status(thm)], [d10,d15])).
% 10.91/2.04 cnf(d17, plain, 'g$uboth'(sK14(sK10),sK14(sK10)) | 'Ts8'(sK10,sK14(sK10)) | 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d16,d6])).
% 10.91/2.04 cnf(d18, plain, 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK10) | 'Ts8'(sK10,sK14(sK10)) | ~'g$utrue$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d17,c10])).
% 10.91/2.04 cnf(d19, plain, 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK10) | 'Ts8'(sK10,sK14(sK10)) | 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d18,c9])).
% 10.91/2.04 cnf(d20, plain, 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d19,c18])).
% 10.91/2.04 cnf(d21, plain, 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d20,c6])).
% 10.91/2.04 cnf(d22, plain, 'g$uboth'(sK14(sK10),sK10) | ~'g$utrue$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d21,c1])).
% 10.91/2.04 cnf(d23, plain, 'g$uboth'(sK14(sK10),sK10) | ~'g$uboth'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d20,c15])).
% 10.91/2.04 cnf(d24, plain, 'g$utrue$uonly'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK14(sK10)) | 'g$uboth'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d12,c19])).
% 10.91/2.04 cnf(d25, plain, 'g$uboth'(sK14(sK10),sK10) | ~'g$ufalse$uonly'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d20,c14])).
% 10.91/2.04 cnf(d26, plain, 'g$uboth'(sK14(sK10),sK10) | 'g$utrue$uonly'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d25,d24])).
% 10.91/2.04 cnf(d27, plain, 'g$utrue$uonly'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d26,d23])).
% 10.91/2.04 cnf(d28, plain, 'g$uboth'(sK14(sK10),sK10) | 'g$uboth'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d27,d22])).
% 10.91/2.04 cnf(d29, plain, 'g$ufalse'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d28,c4])).
% 10.91/2.04 cnf(d30, plain, ~'g$utrue$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d29,c1])).
% 10.91/2.04 cnf(d31, plain, 'g$utrue$uonly'(sK14(sK10),sK14(sK10)) | 'g$ufalse$uonly'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d30,d13])).
% 10.91/2.04 cnf(d32, plain, ~'g$utrue$uonly'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d28,c13])).
% 10.91/2.04 cnf(d33, plain, 'g$ufalse$uonly'(sK14(sK10),sK10) | 'g$ufalse$uonly'(sK14(sK10),sK14(sK10)), inference(resolution, [status(thm)], [d32,d31])).
% 10.91/2.04 cnf(d34, plain, 'g$ufalse$uonly'(sK14(sK10),sK10) | ~'g$uboth'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d33,c12])).
% 10.91/2.04 cnf(d35, plain, 'g$ufalse$uonly'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d28,d34])).
% 10.91/2.04 cnf(d36, plain, ~'g$utrue'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d35,c7])).
% 10.91/2.04 cnf(d37, plain, 'g$utrue'(sK14(sK10),sK10), inference(resolution, [status(thm)], [d28,c3])).
% 10.91/2.04 cnf(d38, plain, $false, inference(resolution, [status(thm)], [d37,d36])).
% 10.91/2.04 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------