%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO034-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:06:48 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO034-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.58 % Computer : n019.cluster.edu
% 0.12/5.58 % Model : x86_64 x86_64
% 0.12/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.58 % Memory : 8046.5625MB
% 0.12/5.58 % OS : Linux 6.8.0-71-generic
% 0.12/5.58 % CPULimit : 300
% 0.12/5.58 % WCLimit : 300
% 0.12/5.58 % DateTime : Mon Sep 21 13:49:12 UTC 2026
% 0.12/5.58 % CPUTime :
% 0.12/5.59 % Drodi V4.1.1
% 0.17/5.76 % Refutation found
% 0.17/5.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.76 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.76 fof(f1,axiom,(
% 0.17/5.76 (![V,W,X,Y,Z]: (multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z)) ))),
% 0.17/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.76 fof(f2,axiom,(
% 0.17/5.76 (![Y,X]: (multiply(Y,X,X) = X ))),
% 0.17/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.76 fof(f3,axiom,(
% 0.17/5.76 (![X,Y]: (multiply(X,X,Y) = X ))),
% 0.17/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.76 fof(f4,axiom,(
% 0.17/5.76 (![Y,X]: (multiply(inverse(Y),Y,X) = X ))),
% 0.17/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.76 fof(f5,axiom,(
% 0.17/5.76 (![X,Y]: (multiply(X,Y,inverse(Y)) = X ))),
% 0.17/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.76 fof(f6,negated_conjecture,(
% 0.17/5.76 multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b ),
% 0.17/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.76 fof(f7,plain,(
% 0.17/5.76 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))=multiply(X0,X1,multiply(X2,X3,X4)))),
% 0.17/5.76 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/5.76 fof(f8,plain,(
% 0.17/5.76 ![X0,X1]: (multiply(X0,X1,X1)=X1)),
% 0.17/5.76 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/5.76 fof(f9,plain,(
% 0.17/5.76 ![X0,X1]: (multiply(X0,X0,X1)=X0)),
% 0.17/5.76 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/5.76 fof(f10,plain,(
% 0.17/5.76 ![X0,X1]: (multiply(inverse(X0),X0,X1)=X1)),
% 0.17/5.76 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/5.76 fof(f11,plain,(
% 0.17/5.76 ![X0,X1]: (multiply(X0,X1,inverse(X1))=X0)),
% 0.17/5.76 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.76 fof(f12,plain,(
% 0.17/5.76 ~multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c))=b),
% 0.17/5.76 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/5.76 fof(f23,plain,(
% 0.17/5.76 ~multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c))=b),
% 0.17/5.76 inference(forward_demodulation,[status(thm)],[f7,f12])).
% 0.17/5.76 fof(f28,plain,(
% 0.17/5.76 ![X0,X1,X2,X3]: (multiply(X0,X1,X2)=multiply(X0,X1,multiply(X2,multiply(X0,X1,X2),X3)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.17/5.76 fof(f33,plain,(
% 0.17/5.76 ![X0,X1,X2,X3]: (multiply(X0,X1,multiply(X2,X0,X3))=multiply(X2,X0,multiply(X0,X1,X3)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f8,f7])).
% 0.17/5.76 fof(f37,plain,(
% 0.17/5.76 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1,X2),X3,X1)=multiply(X0,X1,multiply(X2,X3,X1)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f8,f7])).
% 0.17/5.76 fof(f74,plain,(
% 0.17/5.76 ![X0,X1,X2]: (multiply(X0,X1,inverse(X1))=multiply(X0,X1,multiply(inverse(X1),X0,X2)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f11,f28])).
% 0.17/5.76 fof(f88,plain,(
% 0.17/5.76 ![X0,X1,X2]: (X0=multiply(X0,X1,multiply(inverse(X1),X0,X2)))),
% 0.17/5.76 inference(forward_demodulation,[status(thm)],[f11,f74])).
% 0.17/5.76 fof(f226,plain,(
% 0.17/5.76 ![X0,X1,X2]: (X0=multiply(inverse(X1),X0,multiply(X0,X1,X2)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f88,f33])).
% 0.17/5.76 fof(f240,plain,(
% 0.17/5.76 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X2,X0,multiply(X0,X1,inverse(X0))))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f11,f33])).
% 0.17/5.76 fof(f664,plain,(
% 0.17/5.76 ![X0,X1]: (X0=multiply(inverse(X1),X0,X1))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f8,f226])).
% 0.17/5.76 fof(f709,plain,(
% 0.17/5.76 ![X0]: (X0=inverse(inverse(X0)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f11,f664])).
% 0.17/5.76 fof(f744,plain,(
% 0.17/5.76 ![X0,X1]: (X0=multiply(X1,X0,inverse(X1)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f709,f664])).
% 0.17/5.76 fof(f748,plain,(
% 0.17/5.76 ![X0,X1]: (multiply(X0,inverse(X1),X1)=X0)),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f709,f11])).
% 0.17/5.76 fof(f749,plain,(
% 0.17/5.76 ![X0,X1]: (multiply(X0,inverse(X0),X1)=X1)),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f709,f10])).
% 0.17/5.76 fof(f750,plain,(
% 0.17/5.76 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X2,X0,X1))),
% 0.17/5.76 inference(backward_demodulation,[status(thm)],[f744,f240])).
% 0.17/5.76 fof(f752,plain,(
% 0.17/5.76 ~multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c))=b),
% 0.17/5.76 inference(backward_demodulation,[status(thm)],[f749,f23])).
% 0.17/5.76 fof(f1626,plain,(
% 0.17/5.76 ~multiply(b,inverse(multiply(d,multiply(e,f,g),c)),multiply(d,multiply(g,f,e),c))=b),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f750,f752])).
% 0.17/5.76 fof(f1659,plain,(
% 0.17/5.76 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X0,X2,multiply(inverse(X2),X1,X2)))),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f11,f37])).
% 0.17/5.76 fof(f1725,plain,(
% 0.17/5.76 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X0,X2,X1))),
% 0.17/5.76 inference(forward_demodulation,[status(thm)],[f664,f1659])).
% 0.17/5.76 fof(f2078,plain,(
% 0.17/5.76 ~multiply(b,inverse(multiply(d,multiply(g,e,f),c)),multiply(d,multiply(g,f,e),c))=b),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f750,f1626])).
% 0.17/5.76 fof(f2117,plain,(
% 0.17/5.76 ~multiply(b,inverse(multiply(d,multiply(g,f,e),c)),multiply(d,multiply(g,f,e),c))=b),
% 0.17/5.76 inference(paramodulation,[status(thm)],[f1725,f2078])).
% 0.17/5.76 fof(f2245,plain,(
% 0.17/5.76 ~b=b),
% 0.17/5.76 inference(forward_demodulation,[status(thm)],[f748,f2117])).
% 0.17/5.76 fof(f2246,plain,(
% 0.17/5.76 $false),
% 0.17/5.76 inference(trivial_equality_resolution,[status(thm)],[f2245])).
% 0.17/5.76 % SZS output end CNFRefutation for theBenchmark.p
% 78.62/22.90 % Elapsed time: 17.090761 seconds
% 78.62/22.90 % CPU time: 73.676449 seconds
% 78.62/22.90 % Total memory used: 37.732 GB
% 78.62/22.90 % Net memory used: 37.732 GB
%------------------------------------------------------------------------------