%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG041-1 : 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 : n013.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 02:05:12 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG041-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % Computer : n013.cluster.edu
% 0.19/0.49 % Model : x86_64 x86_64
% 0.19/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.49 % Memory : 8046.5625MB
% 0.19/0.49 % OS : Linux 6.8.0-71-generic
% 0.19/0.49 % CPULimit : 300
% 0.19/0.49 % WCLimit : 300
% 0.19/0.49 % DateTime : Mon Sep 21 04:14:08 UTC 2026
% 0.19/0.49 % CPUTime :
% 0.19/0.51 % Drodi V4.1.1
% 0.23/0.57 % Refutation found
% 0.23/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.57 fof(f3,axiom,(
% 0.23/0.57 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f10,axiom,(
% 0.23/0.57 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f17,axiom,(
% 0.23/0.57 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f19,hypothesis,(
% 0.23/0.57 (![A]: (product(A,additive_identity,additive_identity) ))),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f21,hypothesis,(
% 0.23/0.57 (![A]: (product(multiplicative_identity,A,A) ))),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f23,hypothesis,(
% 0.23/0.57 (![A]: (( product(h(A),A,multiplicative_identity)| A = additive_identity ) ))),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f24,negated_conjecture,(
% 0.23/0.57 product(a,b,additive_identity) ),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f25,negated_conjecture,(
% 0.23/0.57 a != additive_identity ),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f26,negated_conjecture,(
% 0.23/0.57 b != additive_identity ),
% 0.23/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f29,plain,(
% 0.23/0.57 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/0.57 fof(f38,plain,(
% 0.23/0.57 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.23/0.57 inference(miniscoping,[status(thm)],[f10])).
% 0.23/0.57 fof(f39,plain,(
% 0.23/0.57 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f38])).
% 0.23/0.57 fof(f52,plain,(
% 0.23/0.57 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 0.23/0.57 inference(miniscoping,[status(thm)],[f17])).
% 0.23/0.57 fof(f53,plain,(
% 0.23/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f52])).
% 0.23/0.57 fof(f55,plain,(
% 0.23/0.57 ![X0]: (product(X0,additive_identity,additive_identity))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f19])).
% 0.23/0.57 fof(f57,plain,(
% 0.23/0.57 ![X0]: (product(multiplicative_identity,X0,X0))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f21])).
% 0.23/0.57 fof(f59,plain,(
% 0.23/0.57 ![X0]: (product(h(X0),X0,multiplicative_identity)|X0=additive_identity)),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f23])).
% 0.23/0.57 fof(f60,plain,(
% 0.23/0.57 product(a,b,additive_identity)),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.23/0.57 fof(f61,plain,(
% 0.23/0.57 ~a=additive_identity),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.23/0.57 fof(f62,plain,(
% 0.23/0.57 ~b=additive_identity),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f26])).
% 0.23/0.57 fof(f65,plain,(
% 0.23/0.57 ![X0,X1]: (~product(X0,additive_identity,X1)|X1=additive_identity)),
% 0.23/0.57 inference(resolution,[status(thm)],[f53,f55])).
% 0.23/0.57 fof(f74,plain,(
% 0.23/0.57 ![X0,X1,X2]: (~product(X0,a,X1)|~product(X1,b,X2)|product(X0,additive_identity,X2))),
% 0.23/0.57 inference(resolution,[status(thm)],[f39,f60])).
% 0.23/0.57 fof(f112,plain,(
% 0.23/0.57 ![X0,X1]: (~product(multiplicative_identity,X0,X1)|X1=X0)),
% 0.23/0.57 inference(resolution,[status(thm)],[f57,f53])).
% 0.23/0.57 fof(f115,plain,(
% 0.23/0.57 ![X0,X1]: (~product(multiply(X0,a),b,X1)|product(X0,additive_identity,X1))),
% 0.23/0.57 inference(resolution,[status(thm)],[f29,f74])).
% 0.23/0.57 fof(f124,plain,(
% 0.23/0.57 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 0.23/0.57 inference(resolution,[status(thm)],[f29,f53])).
% 0.23/0.57 fof(f140,plain,(
% 0.23/0.57 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.23/0.57 inference(resolution,[status(thm)],[f112,f29])).
% 0.23/0.57 fof(f150,plain,(
% 0.23/0.57 ![X0]: (product(X0,additive_identity,multiply(multiply(X0,a),b)))),
% 0.23/0.57 inference(resolution,[status(thm)],[f115,f29])).
% 0.23/0.57 fof(f156,plain,(
% 0.23/0.57 ![X0]: (multiply(multiply(X0,a),b)=additive_identity)),
% 0.23/0.57 inference(resolution,[status(thm)],[f150,f65])).
% 0.23/0.57 fof(f251,plain,(
% 0.23/0.57 ![X0]: (X0=additive_identity|multiplicative_identity=multiply(h(X0),X0))),
% 0.23/0.57 inference(resolution,[status(thm)],[f59,f124])).
% 0.23/0.57 fof(f275,plain,(
% 0.23/0.57 multiply(multiplicative_identity,b)=additive_identity|a=additive_identity),
% 0.23/0.58 inference(paramodulation,[status(thm)],[f251,f156])).
% 0.23/0.58 fof(f282,plain,(
% 0.23/0.58 b=additive_identity|a=additive_identity),
% 0.23/0.58 inference(forward_demodulation,[status(thm)],[f140,f275])).
% 0.23/0.58 fof(f314,plain,(
% 0.23/0.58 ~a=a),
% 0.23/0.58 inference(backward_demodulation,[status(thm)],[f347,f61])).
% 0.23/0.58 fof(f347,plain,(
% 0.23/0.58 a=additive_identity),
% 0.23/0.58 inference(forward_subsumption_resolution,[status(thm)],[f282,f62])).
% 0.23/0.58 fof(f366,plain,(
% 0.23/0.58 $false),
% 0.23/0.58 inference(trivial_equality_resolution,[status(thm)],[f314])).
% 0.23/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.62 % Elapsed time: 0.107177 seconds
% 0.23/0.62 % CPU time: 0.398469 seconds
% 0.23/0.62 % Total memory used: 81.723 MB
% 0.23/0.62 % Net memory used: 81.273 MB
%------------------------------------------------------------------------------