%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:37:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 : Sun Sep 20 20:34:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.54 % Refutation found
% 0.14/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.54 fof(f2,axiom,(
% 0.14/0.54 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.14/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f6,axiom,(
% 0.14/0.54 (![A]: (mult(unit,A) = A ))),
% 0.14/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f7,axiom,(
% 0.14/0.54 (![A,B,C]: (mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ))),
% 0.14/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f8,axiom,(
% 0.14/0.54 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.14/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f9,axiom,(
% 0.14/0.54 (![A,B]: (mult(mult(op_c,op_c),mult(A,B)) = mult(mult(mult(op_c,op_c),A),B) ))),
% 0.14/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f10,negated_conjecture,(
% 0.14/0.54 mult(a,mult(b,op_c)) != mult(mult(a,b),op_c) ),
% 0.14/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f12,plain,(
% 0.14/0.54 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.54 fof(f16,plain,(
% 0.14/0.54 ![X0]: (mult(unit,X0)=X0)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.54 fof(f17,plain,(
% 0.14/0.54 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X0,X2)))=mult(mult(X0,mult(X1,X0)),X2))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.54 fof(f18,plain,(
% 0.14/0.54 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.54 fof(f19,plain,(
% 0.14/0.54 ![X0,X1]: (mult(mult(op_c,op_c),mult(X0,X1))=mult(mult(mult(op_c,op_c),X0),X1))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.54 fof(f20,plain,(
% 0.14/0.54 ~mult(a,mult(b,op_c))=mult(mult(a,b),op_c)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.54 fof(f57,plain,(
% 0.14/0.54 ![X0,X1]: (mult(X0,mult(unit,mult(X0,X1)))=mult(mult(X0,X0),X1))),
% 0.14/0.54 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.14/0.54 fof(f69,plain,(
% 0.14/0.54 ![X0,X1]: (mult(op_c,mult(op_c,mult(X0,X1)))=mult(mult(mult(op_c,op_c),X0),X1))),
% 0.14/0.54 inference(backward_demodulation,[status(thm)],[f70,f19])).
% 0.14/0.54 fof(f70,plain,(
% 0.14/0.54 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(mult(X0,X0),X1))),
% 0.14/0.54 inference(forward_demodulation,[status(thm)],[f16,f57])).
% 0.14/0.54 fof(f73,plain,(
% 0.14/0.54 ![X0,X1]: (mult(op_c,mult(op_c,mult(X0,X1)))=mult(mult(op_c,mult(op_c,X0)),X1))),
% 0.14/0.54 inference(forward_demodulation,[status(thm)],[f70,f69])).
% 0.14/0.54 fof(f95,plain,(
% 0.14/0.54 ~mult(a,mult(b,op_c))=mult(op_c,mult(a,b))),
% 0.14/0.54 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.14/0.54 fof(f106,plain,(
% 0.14/0.54 ![X0,X1]: (mult(op_c,mult(op_c,mult(X0,X1)))=mult(mult(op_c,mult(X0,op_c)),X1))),
% 0.14/0.54 inference(paramodulation,[status(thm)],[f18,f73])).
% 0.14/0.54 fof(f117,plain,(
% 0.14/0.54 ![X0,X1]: (mult(op_c,mult(op_c,mult(X0,X1)))=mult(op_c,mult(X0,mult(op_c,X1))))),
% 0.14/0.54 inference(forward_demodulation,[status(thm)],[f17,f106])).
% 0.14/0.54 fof(f1635,plain,(
% 0.14/0.54 ~mult(a,mult(op_c,b))=mult(op_c,mult(a,b))),
% 0.14/0.54 inference(paramodulation,[status(thm)],[f18,f95])).
% 0.14/0.54 fof(f1929,plain,(
% 0.14/0.54 ![X0,X1]: (ld(op_c,mult(op_c,mult(X0,mult(op_c,X1))))=mult(op_c,mult(X0,X1)))),
% 0.14/0.54 inference(paramodulation,[status(thm)],[f117,f12])).
% 0.14/0.54 fof(f1971,plain,(
% 0.14/0.54 ![X0,X1]: (mult(X0,mult(op_c,X1))=mult(op_c,mult(X0,X1)))),
% 0.14/0.54 inference(forward_demodulation,[status(thm)],[f12,f1929])).
% 0.14/0.54 fof(f1972,plain,(
% 0.14/0.54 $false),
% 0.14/0.54 inference(backward_subsumption_resolution,[status(thm)],[f1635,f1971])).
% 0.14/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 19.21/13.36 % Elapsed time: 12.992135 seconds
% 19.21/13.36 % CPU time: 101.963492 seconds
% 19.21/13.36 % Total memory used: 66.332 GB
% 19.21/13.36 % Net memory used: 66.331 GB
%------------------------------------------------------------------------------