%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN349+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 09:21:54 AM UTC 2026
% Result : Theorem 8.40s 2.54s
% Output : CNFRefutation 8.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN349+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:42:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.40/2.54 % SZS status Theorem for theBenchmark.p
% 8.40/2.54 % SZS output start CNFRefutation for theBenchmark.p
% 8.40/2.54 fof(church_46_17_5, conjecture, ? [X0] : ! [X1] : ? [X2] : ! [X3] : ((('big$uf'(X0,X3) <=> 'big$uf'(X1,X3)) => ((('big$uf'(X0,X3) <=> 'big$uf'(X3,X2)) <=> 'big$uf'(X2,X3)) <=> 'big$uf'(X3,X1))))).
% 8.40/2.54 fof(negated_conjecture, negated_conjecture, ~? [X0] : ! [X1] : ? [X2] : ! [X3] : ((('big$uf'(X0,X3) <=> 'big$uf'(X1,X3)) => ((('big$uf'(X0,X3) <=> 'big$uf'(X3,X2)) <=> 'big$uf'(X2,X3)) <=> 'big$uf'(X3,X1)))), inference(negate_conjecture, [status(cth)], [church_46_17_5])).
% 8.40/2.54 cnf(c0, plain, ~'big$uf'(X0,sK4(X0,X1)) | 'big$uf'(sK2(X0),sK4(X0,X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c1, plain, 'big$uf'(X0,sK4(X0,X1)) | ~'big$uf'(sK2(X0),sK4(X0,X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c3, plain, X0(X1,X2,sK4(X1,X2)) | 'big$uf'(sK4(X1,X2),sK2(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c4, plain, ~'big$uf'(sK4(X0,X1),sK2(X0)) | ~X2(X0,X1,sK4(X0,X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c7, plain, ~X0(X1,X2,X3) | 'big$uf'(X1,X3) | 'big$uf'(X3,X2) | 'big$uf'(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c10, plain, ~X0(X1,X2,X3) | ~'big$uf'(X1,X3) | 'big$uf'(X3,X2) | ~'big$uf'(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c21, plain, X0(X1,X2,X3) | 'big$uf'(X1,X3) | ~'big$uf'(X3,X2) | 'big$uf'(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(c24, plain, X0(X1,X2,X3) | ~'big$uf'(X2,X3) | ~'big$uf'(X3,X2) | ~'big$uf'(X1,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.40/2.54 cnf(d0, plain, ~'big$uf'(X0,sK4(X0,X1)) | ~'big$uf'(sK4(X0,X1),X1) | ~'big$uf'(X1,sK4(X0,X1)) | ~'big$uf'(sK4(X0,X1),sK2(X0)), inference(resolution, [status(thm)], [c24,c4])).
% 8.40/2.54 cnf(d1, plain, ~'big$uf'(X0,sK4(X0,X1)) | 'big$uf'(sK4(X0,X1),X1) | ~'big$uf'(X1,sK4(X0,X1)) | 'big$uf'(sK4(X0,X1),sK2(X0)), inference(resolution, [status(thm)], [c10,c3])).
% 8.40/2.54 cnf(d2, plain, 'big$uf'(sK4(X0,X1),X1) | 'big$uf'(X1,sK4(X0,X1)) | 'big$uf'(X0,sK4(X0,X1)) | 'big$uf'(sK4(X0,X1),sK2(X0)), inference(resolution, [status(thm)], [c7,c3])).
% 8.40/2.54 cnf(d3, plain, 'big$uf'(sK2(X0),sK4(X0,sK2(X0))) | 'big$uf'(X0,sK4(X0,sK2(X0))) | 'big$uf'(sK4(X0,sK2(X0)),sK2(X0)), inference(factoring, [status(thm)], [d2])).
% 8.40/2.54 cnf(d4, plain, 'big$uf'(X0,sK4(X0,X1)) | 'big$uf'(X1,sK4(X0,X1)) | ~'big$uf'(sK4(X0,X1),X1) | ~'big$uf'(sK4(X0,X1),sK2(X0)), inference(resolution, [status(thm)], [c21,c4])).
% 8.40/2.54 cnf(d5, plain, 'big$uf'(sK2(X0),sK4(X0,sK2(X0))) | 'big$uf'(X0,sK4(X0,sK2(X0))) | ~'big$uf'(sK4(X0,sK2(X0)),sK2(X0)) | 'big$uf'(X0,sK4(X0,sK2(X0))) | 'big$uf'(sK2(X0),sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d4,d3])).
% 8.40/2.54 cnf(d6, plain, 'big$uf'(X0,sK4(X0,sK2(X0))) | 'big$uf'(sK2(X0),sK4(X0,sK2(X0))) | 'big$uf'(X0,sK4(X0,sK2(X0))) | 'big$uf'(sK2(X0),sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d5,d3])).
% 8.40/2.54 cnf(d7, plain, 'big$uf'(X0,sK4(X0,sK2(X0))) | 'big$uf'(X0,sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d6,c1])).
% 8.40/2.54 cnf(d8, plain, ~'big$uf'(sK2(X0),sK4(X0,sK2(X0))) | 'big$uf'(sK4(X0,sK2(X0)),sK2(X0)) | 'big$uf'(sK4(X0,sK2(X0)),sK2(X0)), inference(resolution, [status(thm)], [d7,d1])).
% 8.40/2.54 cnf(d9, plain, 'big$uf'(sK4(X0,sK2(X0)),sK2(X0)) | ~'big$uf'(X0,sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d8,c0])).
% 8.40/2.54 cnf(d10, plain, 'big$uf'(sK4(X0,sK2(X0)),sK2(X0)), inference(resolution, [status(thm)], [d7,d9])).
% 8.40/2.54 cnf(d11, plain, ~'big$uf'(sK2(X0),sK4(X0,sK2(X0))) | ~'big$uf'(X0,sK4(X0,sK2(X0))) | ~'big$uf'(sK4(X0,sK2(X0)),sK2(X0)), inference(resolution, [status(thm)], [d10,d0])).
% 8.40/2.54 cnf(d12, plain, ~'big$uf'(sK4(X0,sK2(X0)),sK2(X0)) | ~'big$uf'(sK2(X0),sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d7,d11])).
% 8.40/2.54 cnf(d13, plain, ~'big$uf'(sK2(X0),sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d10,d12])).
% 8.40/2.54 cnf(d14, plain, ~'big$uf'(X0,sK4(X0,sK2(X0))), inference(resolution, [status(thm)], [d13,c0])).
% 8.40/2.54 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d7,d14])).
% 8.40/2.54 % SZS output end CNFRefutation for theBenchmark.p
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