%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP043-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:35:33 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP043-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % Computer : n002.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 20 19:58:16 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f1,axiom,(
% 0.14/0.43 (![X]: (product(identity,X,X) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f4,axiom,(
% 0.14/0.43 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| equalish(Z,W) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f7,axiom,(
% 0.14/0.43 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f8,hypothesis,(
% 0.14/0.43 equalish(a,b) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f9,hypothesis,(
% 0.14/0.43 equalish(b,c) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f10,negated_conjecture,(
% 0.14/0.43 ~ equalish(a,c) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f11,plain,(
% 0.14/0.43 ![X0]: (product(identity,X0,X0))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.43 fof(f14,plain,(
% 0.14/0.43 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|equalish(Z,W))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.43 fof(f15,plain,(
% 0.14/0.43 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.43 fof(f20,plain,(
% 0.14/0.43 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.43 fof(f21,plain,(
% 0.14/0.43 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.43 fof(f22,plain,(
% 0.14/0.43 equalish(a,b)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.43 fof(f23,plain,(
% 0.14/0.43 equalish(b,c)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.43 fof(f24,plain,(
% 0.14/0.43 ~equalish(a,c)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.43 fof(f25,plain,(
% 0.14/0.43 ![X0,X1]: (~equalish(X0,X1)|product(identity,X0,X1))),
% 0.14/0.43 inference(resolution,[status(thm)],[f11,f21])).
% 0.14/0.43 fof(f26,plain,(
% 0.14/0.43 ![X0,X1]: (~product(identity,X0,X1)|equalish(X1,X0))),
% 0.14/0.43 inference(resolution,[status(thm)],[f11,f15])).
% 0.14/0.43 fof(f27,plain,(
% 0.14/0.43 product(identity,b,c)),
% 0.14/0.43 inference(resolution,[status(thm)],[f25,f23])).
% 0.14/0.43 fof(f28,plain,(
% 0.14/0.43 product(identity,a,b)),
% 0.14/0.43 inference(resolution,[status(thm)],[f25,f22])).
% 0.14/0.43 fof(f30,plain,(
% 0.14/0.43 ![X0]: (~product(identity,b,X0)|equalish(X0,c))),
% 0.14/0.43 inference(resolution,[status(thm)],[f27,f15])).
% 0.14/0.43 fof(f33,plain,(
% 0.14/0.43 equalish(b,a)),
% 0.14/0.43 inference(resolution,[status(thm)],[f26,f28])).
% 0.14/0.43 fof(f37,plain,(
% 0.14/0.43 product(identity,b,a)),
% 0.14/0.43 inference(resolution,[status(thm)],[f33,f25])).
% 0.14/0.43 fof(f49,plain,(
% 0.14/0.43 equalish(a,c)),
% 0.14/0.43 inference(resolution,[status(thm)],[f37,f30])).
% 0.14/0.43 fof(f53,plain,(
% 0.14/0.43 $false),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f49,f24])).
% 0.14/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51 % Elapsed time: 0.105113 seconds
% 0.18/0.51 % CPU time: 0.095163 seconds
% 0.18/0.51 % Total memory used: 1.753 MB
% 0.18/0.51 % Net memory used: 1.750 MB
%------------------------------------------------------------------------------