%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD025-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(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 : Thu Sep 24 12:22:20 PM UTC 2026
% Result : Unsatisfiable 0.22s 10.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD025-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/10.46 % Computer : n026.cluster.edu
% 0.17/10.46 % Model : x86_64 x86_64
% 0.17/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.46 % Memory : 8046.5625MB
% 0.17/10.46 % OS : Linux 6.8.0-71-generic
% 0.17/10.46 % CPULimit : 300
% 0.17/10.46 % WCLimit : 300
% 0.17/10.46 % DateTime : Mon Sep 21 15:41:48 UTC 2026
% 0.17/10.47 % CPUTime :
% 0.17/10.48 % Drodi V4.1.1
% 0.22/10.52 % Refutation found
% 0.22/10.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/10.52 % SZS output start CNFRefutation for theBenchmark
% 0.22/10.52 fof(f6,axiom,(
% 0.22/10.52 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f7,axiom,(
% 0.22/10.52 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f8,axiom,(
% 0.22/10.52 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f10,axiom,(
% 0.22/10.52 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f27,hypothesis,(
% 0.22/10.52 defined(a) ),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f33,negated_conjecture,(
% 0.22/10.52 product(multiplicative_identity,a,b) ),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f34,negated_conjecture,(
% 0.22/10.52 product(multiplicative_identity,c,d) ),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f35,negated_conjecture,(
% 0.22/10.52 product(a,c,u) ),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f36,negated_conjecture,(
% 0.22/10.52 product(d,b,v) ),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f37,negated_conjecture,(
% 0.22/10.52 ~ product(multiplicative_identity,u,v) ),
% 0.22/10.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.52 fof(f45,plain,(
% 0.22/10.52 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.22/10.52 inference(miniscoping,[status(thm)],[f6])).
% 0.22/10.52 fof(f46,plain,(
% 0.22/10.52 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f45])).
% 0.22/10.52 fof(f47,plain,(
% 0.22/10.52 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.22/10.52 inference(miniscoping,[status(thm)],[f7])).
% 0.22/10.52 fof(f48,plain,(
% 0.22/10.52 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f47])).
% 0.22/10.52 fof(f49,plain,(
% 0.22/10.52 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.22/10.52 fof(f51,plain,(
% 0.22/10.52 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f10])).
% 0.22/10.52 fof(f77,plain,(
% 0.22/10.52 defined(a)),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f27])).
% 0.22/10.52 fof(f83,plain,(
% 0.22/10.52 product(multiplicative_identity,a,b)),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f33])).
% 0.22/10.52 fof(f84,plain,(
% 0.22/10.52 product(multiplicative_identity,c,d)),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f34])).
% 0.22/10.52 fof(f85,plain,(
% 0.22/10.52 product(a,c,u)),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f35])).
% 0.22/10.52 fof(f86,plain,(
% 0.22/10.52 product(d,b,v)),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f36])).
% 0.22/10.52 fof(f87,plain,(
% 0.22/10.52 ~product(multiplicative_identity,u,v)),
% 0.22/10.52 inference(cnf_transformation,[status(thm)],[f37])).
% 0.22/10.52 fof(f89,plain,(
% 0.22/10.52 ![X0,X1,X2]: (product(multiplicative_identity,X0,X1)|~product(c,X2,X0)|~product(d,X2,X1))),
% 0.22/10.52 inference(resolution,[status(thm)],[f46,f84])).
% 0.22/10.52 fof(f94,plain,(
% 0.22/10.52 product(multiplicative_identity,a,a)),
% 0.22/10.52 inference(resolution,[status(thm)],[f49,f77])).
% 0.22/10.52 fof(f96,plain,(
% 0.22/10.52 product(c,a,u)),
% 0.22/10.52 inference(resolution,[status(thm)],[f51,f85])).
% 0.22/10.52 fof(f97,plain,(
% 0.22/10.52 product(c,multiplicative_identity,d)),
% 0.22/10.52 inference(resolution,[status(thm)],[f51,f84])).
% 0.22/10.52 fof(f318,plain,(
% 0.22/10.52 ![X0,X1,X2]: (product(d,X0,X1)|~product(multiplicative_identity,X0,X2)|~product(c,X2,X1))),
% 0.22/10.52 inference(resolution,[status(thm)],[f97,f48])).
% 0.22/10.52 fof(f319,plain,(
% 0.22/10.52 ![X0,X1,X2]: (product(c,X0,X1)|~product(multiplicative_identity,X2,X0)|~product(d,X2,X1))),
% 0.22/10.52 inference(resolution,[status(thm)],[f97,f46])).
% 0.22/10.52 fof(f343,plain,(
% 0.22/10.52 ![X0]: (product(c,b,X0)|~product(d,a,X0))),
% 0.22/10.52 inference(resolution,[status(thm)],[f319,f83])).
% 0.22/10.52 fof(f599,plain,(
% 0.22/10.52 ![X0]: (product(d,a,X0)|~product(c,a,X0))),
% 0.22/10.52 inference(resolution,[status(thm)],[f94,f318])).
% 0.22/10.52 fof(f603,plain,(
% 0.22/10.52 product(d,a,u)),
% 0.22/10.52 inference(resolution,[status(thm)],[f599,f96])).
% 0.22/10.53 fof(f605,plain,(
% 0.22/10.53 product(c,b,u)),
% 0.22/10.53 inference(resolution,[status(thm)],[f603,f343])).
% 0.22/10.53 fof(f616,plain,(
% 0.22/10.53 ![X0]: (product(multiplicative_identity,u,X0)|~product(d,b,X0))),
% 0.22/10.53 inference(resolution,[status(thm)],[f605,f89])).
% 0.22/10.53 fof(f651,plain,(
% 0.22/10.53 product(multiplicative_identity,u,v)),
% 0.22/10.53 inference(resolution,[status(thm)],[f616,f86])).
% 0.22/10.53 fof(f652,plain,(
% 0.22/10.53 $false),
% 0.22/10.53 inference(forward_subsumption_resolution,[status(thm)],[f651,f87])).
% 0.22/10.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/10.59 % Elapsed time: 0.111887 seconds
% 0.22/10.59 % CPU time: 0.144315 seconds
% 0.22/10.59 % Total memory used: 6.544 MB
% 0.22/10.59 % Net memory used: 6.477 MB
%------------------------------------------------------------------------------