%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU406+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 152.75s 38.61s
% Output : CNFRefutation 152.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU406+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 09:31:11 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 152.75/38.61 % SZS status Theorem for theBenchmark.p
% 152.75/38.61 % SZS output start CNFRefutation for theBenchmark.p
% 152.75/38.61 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'k2$uxboole$u0'(X0,X1) <=> ! [X3] : (('r2$uhidden'(X3,X2) <=> ('r2$uhidden'(X3,X0) | 'r2$uhidden'(X3,X1))))))).
% 152.75/38.61 fof(d4_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'k4$uxboole$u0'(X0,X1) <=> ! [X3] : (('r2$uhidden'(X3,X2) <=> ('r2$uhidden'(X3,X0) & ~'r2$uhidden'(X3,X1))))))).
% 152.75/38.61 fof(t5_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ~(('r1$uxboole$u0'(X0,X1) & ('r2$uhidden'(X2,'k2$uxboole$u0'(X0,X1)) & (~(('r2$uhidden'(X2,X0) & ~'r2$uhidden'(X2,X1))) & ~(('r2$uhidden'(X2,X1) & ~'r2$uhidden'(X2,X0)))))))).
% 152.75/38.61 fof(symmetry_r1_xboole_0, axiom, ! [X0] : ! [X1] : (('r1$uxboole$u0'(X0,X1) => 'r1$uxboole$u0'(X1,X0)))).
% 152.75/38.61 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0)).
% 152.75/38.61 fof(t39_xboole_1, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)) = 'k2$uxboole$u0'(X0,X1)).
% 152.75/38.61 fof(t79_xboole_1, axiom, ! [X0] : ! [X1] : 'r1$uxboole$u0'('k4$uxboole$u0'(X0,X1),X1)).
% 152.75/38.61 fof(t1_latsum_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ~(('r2$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$u0'(X2,X3))))))))))).
% 152.75/38.61 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ~(('r2$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$u0'(X2,X3)))))))))), inference(negate_conjecture, [status(cth)], [t1_latsum_1])).
% 152.75/38.61 cnf(c24, plain, X0 != 'k2$uxboole$u0'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 152.75/38.61 cnf(c26, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X4,X3) | 'r2$uhidden'(X4,X1) | 'r2$uhidden'(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 152.75/38.61 cnf(c46, plain, X0 != 'k4$uxboole$u0'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d4_xboole_0])).
% 152.75/38.61 cnf(c50, plain, ~X0(X1,X2,X3) | 'r2$uhidden'(X4,X3) | ~'r2$uhidden'(X4,X1) | 'r2$uhidden'(X4,X2), inference(clausification, [status(esa)], [d4_xboole_0])).
% 152.75/38.61 cnf(c69, plain, ~'r1$uxboole$u0'(X0,X1) | ~'r2$uhidden'(X2,'k2$uxboole$u0'(X0,X1)) | 'r2$uhidden'(X2,X0) | 'r2$uhidden'(X2,X1), inference(clausification, [status(esa)], [t5_xboole_0])).
% 152.75/38.61 cnf(c73, plain, ~'r1$uxboole$u0'(X0,X1) | 'r1$uxboole$u0'(X1,X0), inference(clausification, [status(esa)], [symmetry_r1_xboole_0])).
% 152.75/38.61 cnf(c74, plain, 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 152.75/38.61 cnf(c128, plain, 'k2$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)) = 'k2$uxboole$u0'(X0,X1), inference(clausification, [status(esa)], [t39_xboole_1])).
% 152.75/38.61 cnf(c164, plain, 'r1$uxboole$u0'('k4$uxboole$u0'(X0,X1),X1), inference(clausification, [status(esa)], [t79_xboole_1])).
% 152.75/38.61 cnf(c751, plain, 'r2$uhidden'(sK1167,'k2$uxboole$u0'(sK1169,sK1170)), inference(clausification, [status(esa)], [negated_conjecture])).
% 152.75/38.61 cnf(c752, plain, 'r2$uhidden'(sK1168,'k2$uxboole$u0'(sK1169,sK1170)), inference(clausification, [status(esa)], [negated_conjecture])).
% 152.75/38.61 cnf(c753, plain, ~'r2$uhidden'(sK1167,'k4$uxboole$u0'(sK1169,sK1170)) | ~'r2$uhidden'(sK1168,'k4$uxboole$u0'(sK1169,sK1170)), inference(clausification, [status(esa)], [negated_conjecture])).
% 152.75/38.61 cnf(c754, plain, ~'r2$uhidden'(sK1167,sK1170) | ~'r2$uhidden'(sK1168,sK1170), inference(clausification, [status(esa)], [negated_conjecture])).
% 152.75/38.61 cnf(c755, plain, ~'r2$uhidden'(sK1167,'k4$uxboole$u0'(sK1169,sK1170)) | ~'r2$uhidden'(sK1168,sK1170), inference(clausification, [status(esa)], [negated_conjecture])).
% 152.75/38.61 cnf(c756, plain, ~'r2$uhidden'(sK1167,sK1170) | ~'r2$uhidden'(sK1168,'k4$uxboole$u0'(sK1169,sK1170)), inference(clausification, [status(esa)], [negated_conjecture])).
% 152.75/38.61 cnf(d0, plain, 'r2$uhidden'(sK1168,'k2$uxboole$u0'(sK1170,sK1169)), inference(demodulation, [status(thm)], [c752,c74])).
% 152.75/38.61 cnf(d1, plain, ~'r2$uhidden'(X2,'k2$uxboole$u0'(X0,X1)) | 'r2$uhidden'(X2,'k4$uxboole$u0'(X1,X0)) | 'r2$uhidden'(X2,X0) | ~'r1$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)), inference(superposition, [status(thm)], [c128,c69])).
% 152.75/38.61 cnf(d2, plain, 'r1$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)), inference(resolution, [status(thm)], [c73,c164])).
% 152.75/38.61 cnf(d3, plain, 'r2$uhidden'(X0,X1) | ~'r2$uhidden'(X0,'k2$uxboole$u0'(X1,X2)) | 'r2$uhidden'(X0,'k4$uxboole$u0'(X2,X1)), inference(resolution, [status(thm)], [d2,d1])).
% 152.75/38.61 cnf(d4, plain, 'r2$uhidden'(sK1168,sK1170) | 'r2$uhidden'(sK1168,'k4$uxboole$u0'(sK1169,sK1170)), inference(resolution, [status(thm)], [d3,d0])).
% 152.75/38.61 cnf(d5, plain, 'r2$uhidden'(sK1168,sK1170) | ~'r2$uhidden'(sK1167,sK1170), inference(resolution, [status(thm)], [d4,c756])).
% 152.75/38.61 cnf(d6, plain, 'Ts40'(X0,X1,'k4$uxboole$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c46])).
% 152.75/38.61 cnf(d7, plain, 'r2$uhidden'(X0,'k4$uxboole$u0'(X1,X2)) | 'r2$uhidden'(X0,X2) | ~'r2$uhidden'(X0,X1), inference(resolution, [status(thm)], [d6,c50])).
% 152.75/38.61 cnf(d8, plain, 'r2$uhidden'(sK1167,sK1170) | ~'r2$uhidden'(sK1167,sK1169) | ~'r2$uhidden'(sK1168,sK1170), inference(resolution, [status(thm)], [d7,c755])).
% 152.75/38.61 cnf(d9, plain, 'r2$uhidden'(sK1167,'k2$uxboole$u0'(sK1170,sK1169)), inference(demodulation, [status(thm)], [c751,c74])).
% 152.75/38.61 cnf(d10, plain, 'Ts28'(X0,X1,'k2$uxboole$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c24])).
% 152.75/38.61 cnf(d11, plain, 'r2$uhidden'(X0,X1) | 'r2$uhidden'(X0,X2) | ~'r2$uhidden'(X0,'k2$uxboole$u0'(X2,X1)), inference(resolution, [status(thm)], [d10,c26])).
% 152.75/38.61 cnf(d12, plain, 'r2$uhidden'(sK1167,sK1170) | 'r2$uhidden'(sK1167,sK1169), inference(resolution, [status(thm)], [d11,d9])).
% 152.75/38.61 cnf(d13, plain, 'r2$uhidden'(sK1168,sK1170) | 'r2$uhidden'(sK1168,sK1169), inference(resolution, [status(thm)], [d11,d0])).
% 152.75/38.61 cnf(d14, plain, 'r2$uhidden'(sK1168,sK1169) | ~'r2$uhidden'(sK1167,sK1170), inference(resolution, [status(thm)], [d13,c754])).
% 152.75/38.61 cnf(d15, plain, 'r2$uhidden'(sK1168,sK1169) | 'r2$uhidden'(sK1167,sK1169), inference(resolution, [status(thm)], [d14,d12])).
% 152.75/38.61 cnf(d16, plain, 'r2$uhidden'(sK1168,sK1170) | ~'r2$uhidden'(sK1168,sK1169) | ~'r2$uhidden'(sK1167,sK1170), inference(resolution, [status(thm)], [d7,c756])).
% 152.75/38.61 cnf(d17, plain, ~'r2$uhidden'(sK1167,sK1170) | 'r2$uhidden'(sK1168,sK1170) | 'r2$uhidden'(sK1167,sK1169), inference(resolution, [status(thm)], [d16,d15])).
% 152.75/38.61 cnf(d18, plain, 'r2$uhidden'(sK1167,sK1169) | 'r2$uhidden'(sK1168,sK1170) | 'r2$uhidden'(sK1167,sK1169), inference(resolution, [status(thm)], [d17,d12])).
% 152.75/38.61 cnf(d19, plain, 'r2$uhidden'(sK1167,sK1169) | ~'r2$uhidden'(sK1167,sK1170), inference(resolution, [status(thm)], [d18,c754])).
% 152.75/38.61 cnf(d20, plain, 'r2$uhidden'(sK1167,sK1169) | 'r2$uhidden'(sK1167,sK1169), inference(resolution, [status(thm)], [d19,d12])).
% 152.75/38.61 cnf(d21, plain, 'r2$uhidden'(sK1167,sK1170) | ~'r2$uhidden'(sK1168,sK1170), inference(resolution, [status(thm)], [d20,d8])).
% 152.75/38.61 cnf(d22, plain, 'r2$uhidden'(sK1167,sK1170) | 'r2$uhidden'(sK1167,'k4$uxboole$u0'(sK1169,sK1170)), inference(resolution, [status(thm)], [d3,d9])).
% 152.75/38.61 cnf(d23, plain, 'r2$uhidden'(sK1168,sK1170) | ~'r2$uhidden'(sK1167,'k4$uxboole$u0'(sK1169,sK1170)), inference(resolution, [status(thm)], [d4,c753])).
% 152.75/38.61 cnf(d24, plain, 'r2$uhidden'(sK1168,sK1170) | 'r2$uhidden'(sK1167,sK1170), inference(resolution, [status(thm)], [d23,d22])).
% 152.75/38.61 cnf(d25, plain, 'r2$uhidden'(sK1167,sK1170) | 'r2$uhidden'(sK1167,sK1170), inference(resolution, [status(thm)], [d24,d21])).
% 152.75/38.61 cnf(d26, plain, 'r2$uhidden'(sK1168,sK1170), inference(resolution, [status(thm)], [d25,d5])).
% 152.75/38.61 cnf(d27, plain, ~'r2$uhidden'(sK1168,sK1170), inference(resolution, [status(thm)], [d25,c754])).
% 152.75/38.61 cnf(d28, plain, $false, inference(resolution, [status(thm)], [d27,d26])).
% 152.75/38.61 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------