%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD025-3 : 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 : 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 : Thu Sep 24 12:22:20 PM UTC 2026
% Result : Unsatisfiable 0.79s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n018.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 21 15:41:00 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.18/0.41 % Drodi V4.1.1
% 0.79/0.68 % Refutation found
% 0.79/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.79/0.68 % SZS output start CNFRefutation for theBenchmark
% 0.79/0.68 fof(f6,axiom,(
% 0.79/0.68 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f8,axiom,(
% 0.79/0.68 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f10,axiom,(
% 0.79/0.68 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f17,axiom,(
% 0.79/0.68 defined(multiplicative_identity) ),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f20,axiom,(
% 0.79/0.68 (![X,Y]: (( product(X,Y,multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f27,hypothesis,(
% 0.79/0.68 defined(a) ),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f29,hypothesis,(
% 0.79/0.68 defined(c) ),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f31,negated_conjecture,(
% 0.79/0.68 product(multiplicative_identity,a,b) ),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f32,negated_conjecture,(
% 0.79/0.68 product(multiplicative_identity,c,d) ),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f33,negated_conjecture,(
% 0.79/0.68 ~ product(d,b,multiply(a,c)) ),
% 0.79/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.79/0.68 fof(f41,plain,(
% 0.79/0.68 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.79/0.68 inference(miniscoping,[status(thm)],[f6])).
% 0.79/0.68 fof(f42,plain,(
% 0.79/0.68 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f41])).
% 0.79/0.68 fof(f45,plain,(
% 0.79/0.68 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f8])).
% 0.79/0.68 fof(f47,plain,(
% 0.79/0.68 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f10])).
% 0.79/0.68 fof(f58,plain,(
% 0.79/0.68 defined(multiplicative_identity)),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f17])).
% 0.79/0.68 fof(f62,plain,(
% 0.79/0.68 ![Y]: ((![X]: (product(X,Y,multiply(X,Y))|~defined(X)))|~defined(Y))),
% 0.79/0.68 inference(miniscoping,[status(thm)],[f20])).
% 0.79/0.68 fof(f63,plain,(
% 0.79/0.68 ![X0,X1]: (product(X0,X1,multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f62])).
% 0.79/0.68 fof(f73,plain,(
% 0.79/0.68 defined(a)),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f27])).
% 0.79/0.68 fof(f75,plain,(
% 0.79/0.68 defined(c)),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f29])).
% 0.79/0.68 fof(f77,plain,(
% 0.79/0.68 product(multiplicative_identity,a,b)),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f31])).
% 0.79/0.68 fof(f78,plain,(
% 0.79/0.68 product(multiplicative_identity,c,d)),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f32])).
% 0.79/0.68 fof(f79,plain,(
% 0.79/0.68 ~product(d,b,multiply(a,c))),
% 0.79/0.68 inference(cnf_transformation,[status(thm)],[f33])).
% 0.79/0.68 fof(f80,plain,(
% 0.79/0.68 ![X0,X1,X2]: (~product(d,X0,X1)|~product(X0,X2,b)|~product(X1,X2,multiply(a,c)))),
% 0.79/0.68 inference(resolution,[status(thm)],[f42,f79])).
% 0.79/0.68 fof(f113,plain,(
% 0.79/0.68 ![X0,X1,X2]: (~product(X0,d,X1)|~product(X0,X2,b)|~product(X1,X2,multiply(a,c)))),
% 0.79/0.68 inference(resolution,[status(thm)],[f47,f80])).
% 0.79/0.68 fof(f356,plain,(
% 0.79/0.68 ![X0]: (~product(multiplicative_identity,d,X0)|~product(X0,a,multiply(a,c)))),
% 0.79/0.68 inference(resolution,[status(thm)],[f113,f77])).
% 0.79/0.68 fof(f452,plain,(
% 0.79/0.68 ![X0]: (~product(multiplicative_identity,d,X0)|~product(a,X0,multiply(a,c)))),
% 0.79/0.68 inference(resolution,[status(thm)],[f356,f47])).
% 0.79/0.68 fof(f544,plain,(
% 0.79/0.68 ~product(multiplicative_identity,d,c)|~defined(a)|~defined(c)),
% 0.79/0.68 inference(resolution,[status(thm)],[f452,f63])).
% 0.79/0.68 fof(f548,plain,(
% 0.79/0.68 ~product(multiplicative_identity,d,c)|~defined(c)),
% 0.79/0.68 inference(forward_subsumption_resolution,[status(thm)],[f544,f73])).
% 0.79/0.68 fof(f549,plain,(
% 0.79/0.68 ~product(multiplicative_identity,d,c)),
% 0.79/0.68 inference(forward_subsumption_resolution,[status(thm)],[f548,f75])).
% 0.79/0.68 fof(f552,plain,(
% 0.79/0.68 ![X0,X1,X2]: (~product(multiplicative_identity,X0,X1)|~product(X0,X2,d)|~product(X1,X2,c))),
% 0.79/0.68 inference(resolution,[status(thm)],[f549,f42])).
% 0.79/0.68 fof(f980,plain,(
% 0.79/0.68 ![X0]: (~product(multiplicative_identity,X0,multiplicative_identity)|~product(X0,c,d)|~defined(c))),
% 0.79/0.68 inference(resolution,[status(thm)],[f552,f45])).
% 0.79/0.68 fof(f984,plain,(
% 0.79/0.68 ![X0]: (~product(multiplicative_identity,X0,multiplicative_identity)|~product(X0,c,d))),
% 0.79/0.68 inference(forward_subsumption_resolution,[status(thm)],[f980,f75])).
% 0.79/0.68 fof(f985,plain,(
% 0.79/0.68 ~product(multiplicative_identity,c,d)|~defined(multiplicative_identity)),
% 0.79/0.68 inference(resolution,[status(thm)],[f984,f45])).
% 0.79/0.68 fof(f989,plain,(
% 0.79/0.68 ~defined(multiplicative_identity)),
% 0.79/0.68 inference(forward_subsumption_resolution,[status(thm)],[f985,f78])).
% 0.79/0.68 fof(f993,plain,(
% 0.79/0.68 $false),
% 0.79/0.68 inference(forward_subsumption_resolution,[status(thm)],[f989,f58])).
% 0.79/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.79/0.69 % Elapsed time: 0.276228 seconds
% 0.79/0.69 % CPU time: 2.027629 seconds
% 0.79/0.69 % Total memory used: 41.241 MB
% 0.79/0.69 % Net memory used: 39.159 MB
%------------------------------------------------------------------------------