%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD009-1 : 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 : 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 12:22:17 PM UTC 2026
% Result : Unsatisfiable 13.44s 2.13s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD009-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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 : Mon Sep 21 15:36:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 13.44/2.13 % Refutation found
% 13.44/2.13 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.44/2.13 % SZS output start CNFRefutation for theBenchmark
% 13.44/2.13 fof(f5,axiom,(
% 13.44/2.13 (![X,Y,Z]: (( equalish(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z))| ~ defined(X)| ~ defined(Y)| ~ defined(Z) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f6,axiom,(
% 13.44/2.13 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f7,axiom,(
% 13.44/2.13 (![X]: (( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f15,axiom,(
% 13.44/2.13 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f22,axiom,(
% 13.44/2.13 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f23,axiom,(
% 13.44/2.13 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f25,axiom,(
% 13.44/2.13 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f28,hypothesis,(
% 13.44/2.13 defined(a) ),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f29,hypothesis,(
% 13.44/2.13 defined(b) ),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f30,negated_conjecture,(
% 13.44/2.13 ~ equalish(a,additive_identity) ),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f31,negated_conjecture,(
% 13.44/2.13 (![X]: (~ equalish(multiply(a,X),b) ))),
% 13.44/2.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.44/2.13 fof(f38,plain,(
% 13.44/2.13 ![Z]: ((![Y]: ((![X]: (equalish(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z))|~defined(X)))|~defined(Y)))|~defined(Z))),
% 13.44/2.13 inference(miniscoping,[status(thm)],[f5])).
% 13.44/2.13 fof(f39,plain,(
% 13.44/2.13 ![X0,X1,X2]: (equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))|~defined(X0)|~defined(X1)|~defined(X2))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f38])).
% 13.44/2.13 fof(f40,plain,(
% 13.44/2.13 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f6])).
% 13.44/2.13 fof(f41,plain,(
% 13.44/2.13 ![X0]: (equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)|~defined(X0)|equalish(X0,additive_identity))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f7])).
% 13.44/2.13 fof(f53,plain,(
% 13.44/2.13 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f15])).
% 13.44/2.13 fof(f64,plain,(
% 13.44/2.13 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f22])).
% 13.44/2.13 fof(f65,plain,(
% 13.44/2.13 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 13.44/2.13 inference(miniscoping,[status(thm)],[f23])).
% 13.44/2.13 fof(f66,plain,(
% 13.44/2.13 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f65])).
% 13.44/2.13 fof(f69,plain,(
% 13.44/2.13 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 13.44/2.13 inference(miniscoping,[status(thm)],[f25])).
% 13.44/2.13 fof(f70,plain,(
% 13.44/2.13 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f69])).
% 13.44/2.13 fof(f74,plain,(
% 13.44/2.13 defined(a)),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f28])).
% 13.44/2.13 fof(f75,plain,(
% 13.44/2.13 defined(b)),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f29])).
% 13.44/2.13 fof(f76,plain,(
% 13.44/2.13 ~equalish(a,additive_identity)),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f30])).
% 13.44/2.13 fof(f77,plain,(
% 13.44/2.13 ![X0]: (~equalish(multiply(a,X0),b))),
% 13.44/2.13 inference(cnf_transformation,[status(thm)],[f31])).
% 13.44/2.13 fof(f83,plain,(
% 13.44/2.13 ![X0,X1,X2]: (equalish(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X2)))|~defined(X0)|~defined(X1)|~defined(X2))),
% 13.44/2.13 inference(resolution,[status(thm)],[f64,f39])).
% 13.44/2.13 fof(f99,plain,(
% 13.44/2.13 ![X0,X1]: (~equalish(multiply(a,X0),X1)|~equalish(X1,b))),
% 13.44/2.13 inference(resolution,[status(thm)],[f66,f77])).
% 13.44/2.16 fof(f101,plain,(
% 13.44/2.16 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X2,X0))),
% 13.44/2.16 inference(resolution,[status(thm)],[f66,f64])).
% 13.44/2.16 fof(f121,plain,(
% 13.44/2.16 ![X0]: (~equalish(multiply(a,X0),multiply(multiplicative_identity,b))|~defined(b))),
% 13.44/2.16 inference(resolution,[status(thm)],[f99,f40])).
% 13.44/2.16 fof(f124,plain,(
% 13.44/2.16 ![X0]: (~equalish(multiply(a,X0),multiply(multiplicative_identity,b)))),
% 13.44/2.16 inference(forward_subsumption_resolution,[status(thm)],[f121,f75])).
% 13.44/2.16 fof(f152,plain,(
% 13.44/2.16 ![X0,X1,X2]: (~defined(X0)|~equalish(X1,X2)|equalish(multiply(X2,X0),multiply(X1,X0)))),
% 13.44/2.16 inference(resolution,[status(thm)],[f70,f64])).
% 13.44/2.16 fof(f179,plain,(
% 13.44/2.16 ![X0,X1]: (~equalish(multiply(multiplicative_identity,b),X0)|~equalish(X0,multiply(a,X1)))),
% 13.44/2.16 inference(resolution,[status(thm)],[f124,f101])).
% 13.44/2.16 fof(f1022,plain,(
% 13.44/2.16 ![X0,X1]: (~equalish(multiply(X0,b),multiply(a,X1))|~defined(b)|~equalish(X0,multiplicative_identity))),
% 13.44/2.16 inference(resolution,[status(thm)],[f179,f152])).
% 13.44/2.16 fof(f1030,plain,(
% 13.44/2.16 ![X0,X1]: (~equalish(multiply(X0,b),multiply(a,X1))|~equalish(X0,multiplicative_identity))),
% 13.44/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1022,f75])).
% 13.44/2.16 fof(f4038,plain,(
% 13.44/2.16 ![X0]: (~equalish(multiply(a,X0),multiplicative_identity)|~defined(a)|~defined(X0)|~defined(b))),
% 13.44/2.16 inference(resolution,[status(thm)],[f1030,f83])).
% 13.44/2.16 fof(f4044,plain,(
% 13.44/2.16 ![X0]: (~equalish(multiply(a,X0),multiplicative_identity)|~defined(X0)|~defined(b))),
% 13.44/2.16 inference(forward_subsumption_resolution,[status(thm)],[f4038,f74])).
% 13.44/2.16 fof(f4045,plain,(
% 13.44/2.16 ![X0]: (~equalish(multiply(a,X0),multiplicative_identity)|~defined(X0))),
% 13.44/2.16 inference(forward_subsumption_resolution,[status(thm)],[f4044,f75])).
% 13.44/2.16 fof(f4046,plain,(
% 13.44/2.16 ~defined(multiplicative_inverse(a))|~defined(a)|equalish(a,additive_identity)),
% 13.44/2.16 inference(resolution,[status(thm)],[f4045,f41])).
% 13.44/2.16 fof(f4049,plain,(
% 13.44/2.16 ~defined(a)|equalish(a,additive_identity)),
% 13.44/2.16 inference(forward_subsumption_resolution,[status(thm)],[f4046,f53])).
% 13.44/2.16 fof(f4059,plain,(
% 13.44/2.16 equalish(a,additive_identity)),
% 13.44/2.16 inference(forward_subsumption_resolution,[status(thm)],[f4049,f74])).
% 13.44/2.16 fof(f4060,plain,(
% 13.44/2.16 $false),
% 13.44/2.16 inference(backward_subsumption_resolution,[status(thm)],[f76,f4059])).
% 13.44/2.16 % SZS output end CNFRefutation for theBenchmark.p
% 13.44/2.18 % Elapsed time: 1.798564 seconds
% 13.44/2.18 % CPU time: 13.910626 seconds
% 13.44/2.18 % Total memory used: 154.681 MB
% 13.44/2.18 % Net memory used: 144.723 MB
%------------------------------------------------------------------------------