%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU406+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 08:41:54 AM UTC 2026
% Result : Theorem 15.97s 2.48s
% Output : CNFRefutation 15.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU406+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.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 09:28:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.97/2.48 % SZS status Theorem for theBenchmark.p
% 15.97/2.48 % SZS output start CNFRefutation for theBenchmark.p
% 15.97/2.48 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0)).
% 15.97/2.48 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'k2$uxboole$u0'(X0,X1) <=> ! [X3] : (('r2$uhidden'(X3,X2) <=> ('r2$uhidden'(X3,X0) | 'r2$uhidden'(X3,X1))))))).
% 15.97/2.48 fof(t39_xboole_1, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)) = 'k2$uxboole$u0'(X0,X1)).
% 15.97/2.48 fof(t1_latsum_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ~(('r2$uhidden'(X0,'k2$uxboole$u0'(X2,X3)) & ('r2$uhidden'(X1,'k2$uxboole$u0'(X2,X3)) & (~(('r2$uhidden'(X0,'k4$uxboole$u0'(X2,X3)) & 'r2$uhidden'(X1,'k4$uxboole$u0'(X2,X3)))) & (~(('r2$uhidden'(X0,X3) & 'r2$uhidden'(X1,X3))) & (~(('r2$uhidden'(X0,'k4$uxboole$u0'(X2,X3)) & 'r2$uhidden'(X1,X3))) & ~(('r2$uhidden'(X0,X3) & 'r2$uhidden'(X1,'k4$uxboole$u0'(X2,X3))))))))))).
% 15.97/2.48 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ~(('r2$uhidden'(X0,'k2$uxboole$u0'(X2,X3)) & ('r2$uhidden'(X1,'k2$uxboole$u0'(X2,X3)) & (~(('r2$uhidden'(X0,'k4$uxboole$u0'(X2,X3)) & 'r2$uhidden'(X1,'k4$uxboole$u0'(X2,X3)))) & (~(('r2$uhidden'(X0,X3) & 'r2$uhidden'(X1,X3))) & (~(('r2$uhidden'(X0,'k4$uxboole$u0'(X2,X3)) & 'r2$uhidden'(X1,X3))) & ~(('r2$uhidden'(X0,X3) & 'r2$uhidden'(X1,'k4$uxboole$u0'(X2,X3)))))))))), inference(negate_conjecture, [status(cth)], [t1_latsum_1])).
% 15.97/2.48 cnf(c1, plain, 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 15.97/2.48 cnf(c2, plain, X0 != 'k2$uxboole$u0'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 15.97/2.48 cnf(c4, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X4,X3) | 'r2$uhidden'(X4,X1) | 'r2$uhidden'(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 15.97/2.48 cnf(c23, plain, 'k2$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)) = 'k2$uxboole$u0'(X0,X1), inference(clausification, [status(esa)], [t39_xboole_1])).
% 15.97/2.48 cnf(c29, plain, 'r2$uhidden'(sK34,'k2$uxboole$u0'(sK36,sK37)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/2.48 cnf(c30, plain, 'r2$uhidden'(sK35,'k2$uxboole$u0'(sK36,sK37)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/2.48 cnf(c31, plain, ~'r2$uhidden'(sK34,'k4$uxboole$u0'(sK36,sK37)) | ~'r2$uhidden'(sK35,'k4$uxboole$u0'(sK36,sK37)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/2.48 cnf(c32, plain, ~'r2$uhidden'(sK34,sK37) | ~'r2$uhidden'(sK35,sK37), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/2.48 cnf(c33, plain, ~'r2$uhidden'(sK34,'k4$uxboole$u0'(sK36,sK37)) | ~'r2$uhidden'(sK35,sK37), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/2.48 cnf(c34, plain, ~'r2$uhidden'(sK34,sK37) | ~'r2$uhidden'(sK35,'k4$uxboole$u0'(sK36,sK37)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/2.48 cnf(d0, plain, 'r2$uhidden'(sK35,'k2$uxboole$u0'(sK37,sK36)), inference(demodulation, [status(thm)], [c30,c1])).
% 15.97/2.48 cnf(d1, plain, 'Ts4'(X0,X1,'k2$uxboole$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])).
% 15.97/2.48 cnf(d2, plain, 'r2$uhidden'(X0,X1) | 'r2$uhidden'(X0,X2) | ~'r2$uhidden'(X0,'k2$uxboole$u0'(X2,X1)), inference(resolution, [status(thm)], [d1,c4])).
% 15.97/2.48 cnf(d3, plain, ~'r2$uhidden'(X2,'k2$uxboole$u0'(X0,X1)) | 'r2$uhidden'(X2,X0) | 'r2$uhidden'(X2,'k4$uxboole$u0'(X1,X0)), inference(superposition, [status(thm)], [c23,d2])).
% 15.97/2.48 cnf(d4, plain, 'r2$uhidden'(sK35,sK37) | 'r2$uhidden'(sK35,'k4$uxboole$u0'(sK36,sK37)), inference(resolution, [status(thm)], [d3,d0])).
% 15.97/2.48 cnf(d5, plain, 'r2$uhidden'(sK35,sK37) | ~'r2$uhidden'(sK34,sK37), inference(resolution, [status(thm)], [d4,c34])).
% 15.97/2.48 cnf(d6, plain, 'r2$uhidden'(sK34,'k2$uxboole$u0'(sK37,sK36)), inference(demodulation, [status(thm)], [c29,c1])).
% 15.97/2.48 cnf(d7, plain, 'r2$uhidden'(sK34,sK37) | 'r2$uhidden'(sK34,'k4$uxboole$u0'(sK36,sK37)), inference(resolution, [status(thm)], [d3,d6])).
% 15.97/2.48 cnf(d8, plain, 'r2$uhidden'(sK34,sK37) | ~'r2$uhidden'(sK35,sK37), inference(resolution, [status(thm)], [d7,c33])).
% 15.97/2.48 cnf(d9, plain, 'r2$uhidden'(sK35,sK37) | ~'r2$uhidden'(sK34,'k4$uxboole$u0'(sK36,sK37)), inference(resolution, [status(thm)], [d4,c31])).
% 15.97/2.48 cnf(d10, plain, 'r2$uhidden'(sK35,sK37) | 'r2$uhidden'(sK34,sK37), inference(resolution, [status(thm)], [d9,d7])).
% 15.97/2.48 cnf(d11, plain, 'r2$uhidden'(sK34,sK37) | 'r2$uhidden'(sK34,sK37), inference(resolution, [status(thm)], [d10,d8])).
% 15.97/2.48 cnf(d12, plain, 'r2$uhidden'(sK35,sK37), inference(resolution, [status(thm)], [d11,d5])).
% 15.97/2.48 cnf(d13, plain, ~'r2$uhidden'(sK35,sK37), inference(resolution, [status(thm)], [d11,c32])).
% 15.97/2.48 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d12])).
% 15.97/2.48 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------