%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS101+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 07:45:09 AM UTC 2026
% Result : Unsatisfiable 5.36s 3.24s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS101+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n018.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Fri Sep 25 19:41:35 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/3.24 % SZS status Unsatisfiable for theBenchmark.p
% 5.36/3.24 % SZS output start CNFRefutation for theBenchmark.p
% 5.36/3.24 fof(axiom_2, axiom, ! [X0] : ((cUnsatisfiable(X0) <=> (! [X1] : ((rr(X0,X1) => cd(X1))) & (! [X1] : ((rr(X0,X1) => (~? [X2] : ? [X3] : ((rs(X1,X2) & (rs(X1,X3) & X2 != X3))) | cc(X1)))) & ? [X1] : ((rr(X0,X1) & ~! [X2] : ! [X3] : (((rs(X1,X2) & rs(X1,X3)) => X2 = X3))))))))).
% 5.36/3.24 fof(axiom_3, axiom, ! [X0] : ((cc(X0) => ~cd(X0)))).
% 5.36/3.24 fof(axiom_4, axiom, cUnsatisfiable('i2003$u11$u14$u17$u20$u36582')).
% 5.36/3.24 cnf(c15, plain, ~cUnsatisfiable(X0) | X1(X0), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c17, plain, ~rs(X0,X1) | ~rs(X0,X2) | ~rr(X3,X0) | cc(X0) | X1 = X2 | ~X4(X3), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c23, plain, ~X0(X1) | ~rr(X1,X2) | cd(X2), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c24, plain, ~X0(X1) | X2(X1), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c25, plain, ~X0(X1) | rr(X1,sK38(X1)), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c26, plain, ~X0(X1) | rs(sK38(X1),sK39(X1)), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c27, plain, ~X0(X1) | rs(sK38(X1),sK40(X1)), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c28, plain, ~X0(X1) | sK39(X1) != sK40(X1), inference(clausification, [status(esa)], [axiom_2])).
% 5.36/3.24 cnf(c31, plain, ~cc(X0) | ~cd(X0), inference(clausification, [status(esa)], [axiom_3])).
% 5.36/3.24 cnf(c32, plain, cUnsatisfiable('i2003$u11$u14$u17$u20$u36582'), inference(clausification, [status(esa)], [axiom_4])).
% 5.36/3.24 cnf(d0, plain, 'Ts29'('i2003$u11$u14$u17$u20$u36582'), inference(resolution, [status(thm)], [c15,c32])).
% 5.36/3.24 cnf(d1, plain, 'Ts28'('i2003$u11$u14$u17$u20$u36582'), inference(resolution, [status(thm)], [c24,d0])).
% 5.36/3.24 cnf(d2, plain, cd(sK38(X0)) | ~'Ts29'(X0) | ~'Ts29'(X0), inference(resolution, [status(thm)], [c23,c25])).
% 5.36/3.24 cnf(d3, plain, ~'Ts29'(X0) | ~cc(sK38(X0)), inference(resolution, [status(thm)], [d2,c31])).
% 5.36/3.24 cnf(d4, plain, ~'Ts29'(X0) | X1 = sK39(X0) | cc(sK38(X0)) | ~rr(X2,sK38(X0)) | ~rs(sK38(X0),X1) | ~'Ts28'(X2), inference(resolution, [status(thm)], [c26,c17])).
% 5.36/3.24 cnf(d5, plain, sK40(X0) = sK39(X0) | cc(sK38(X0)) | ~rr(X1,sK38(X0)) | ~'Ts29'(X0) | ~'Ts28'(X1) | ~'Ts29'(X0), inference(resolution, [status(thm)], [d4,c27])).
% 5.36/3.24 cnf(d6, plain, sK40(X0) = sK39(X0) | cc(sK38(X0)) | ~'Ts29'(X0) | ~'Ts28'(X0) | ~'Ts29'(X0), inference(resolution, [status(thm)], [d5,c25])).
% 5.36/3.24 cnf(d7, plain, sK40(X0) = sK39(X0) | ~'Ts29'(X0) | ~'Ts28'(X0) | ~'Ts29'(X0), inference(resolution, [status(thm)], [d6,d3])).
% 5.36/3.24 cnf(d8, plain, sK40('i2003$u11$u14$u17$u20$u36582') = sK39('i2003$u11$u14$u17$u20$u36582') | ~'Ts29'('i2003$u11$u14$u17$u20$u36582'), inference(resolution, [status(thm)], [d7,d1])).
% 5.36/3.24 cnf(d9, plain, sK40('i2003$u11$u14$u17$u20$u36582') = sK39('i2003$u11$u14$u17$u20$u36582'), inference(resolution, [status(thm)], [d0,d8])).
% 5.36/3.24 cnf(d10, plain, sK39('i2003$u11$u14$u17$u20$u36582') != sK39('i2003$u11$u14$u17$u20$u36582') | ~'Ts29'('i2003$u11$u14$u17$u20$u36582'), inference(superposition, [status(thm)], [d9,c28])).
% 5.36/3.24 cnf(d11, plain, sK39('i2003$u11$u14$u17$u20$u36582') != sK39('i2003$u11$u14$u17$u20$u36582'), inference(resolution, [status(thm)], [d0,d10])).
% 5.36/3.24 cnf(d12, plain, $false, inference(equality_resolution, [status(thm)], [d11])).
% 5.36/3.24 % SZS output end CNFRefutation for theBenchmark.p
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