%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:37:11 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.38 % Computer : n017.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Sun Sep 20 20:29:24 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 % Drodi V4.1.1
% 0.15/10.41 % Refutation found
% 0.15/10.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.41 fof(f1,axiom,(
% 0.15/10.41 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f2,axiom,(
% 0.15/10.41 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f5,axiom,(
% 0.15/10.41 (![A]: (mult(A,unit) = A ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f6,axiom,(
% 0.15/10.41 (![A]: (mult(unit,A) = A ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f9,axiom,(
% 0.15/10.41 (![A,B]: (mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f10,axiom,(
% 0.15/10.41 (![A,B]: (mult(A,mult(op_c,B)) = mult(mult(A,op_c),B) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f11,axiom,(
% 0.15/10.41 (![A]: (op_d = ld(A,mult(op_c,A)) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f14,negated_conjecture,(
% 0.15/10.41 mult(op_d,mult(x0,x1)) != mult(mult(op_d,x0),x1) ),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f15,plain,(
% 0.15/10.41 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/10.41 fof(f16,plain,(
% 0.15/10.41 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.41 fof(f19,plain,(
% 0.15/10.41 ![X0]: (mult(X0,unit)=X0)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/10.41 fof(f20,plain,(
% 0.15/10.41 ![X0]: (mult(unit,X0)=X0)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/10.41 fof(f23,plain,(
% 0.15/10.41 ![X0,X1]: (mult(X0,mult(X1,op_c))=mult(mult(X0,X1),op_c))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/10.41 fof(f24,plain,(
% 0.15/10.41 ![X0,X1]: (mult(X0,mult(op_c,X1))=mult(mult(X0,op_c),X1))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.41 fof(f25,plain,(
% 0.15/10.41 ![X0]: (op_d=ld(X0,mult(op_c,X0)))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/10.41 fof(f28,plain,(
% 0.15/10.41 ~mult(op_d,mult(x0,x1))=mult(mult(op_d,x0),x1)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/10.41 fof(f29,definition,(
% 0.15/10.41 sF1_fnc=mult(x0,x1)),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.15/10.41 fof(f30,definition,(
% 0.15/10.41 sF0_fnc=mult(op_d,sF1_fnc)),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/10.41 fof(f31,definition,(
% 0.15/10.41 sF3_fnc=mult(op_d,x0)),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.15/10.41 fof(f32,definition,(
% 0.15/10.41 sF2_fnc=mult(sF3_fnc,x1)),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.15/10.41 fof(f33,plain,(
% 0.15/10.41 ~sF0_fnc=sF2_fnc),
% 0.15/10.41 inference(definition_folding,[],[f28,f32,f31,f30,f29])).
% 0.15/10.41 fof(f36,plain,(
% 0.15/10.41 ![X0]: (ld(unit,X0)=X0)),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f20,f15])).
% 0.15/10.41 fof(f45,plain,(
% 0.15/10.41 ld(op_d,sF3_fnc)=x0),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f31,f16])).
% 0.15/10.41 fof(f46,plain,(
% 0.15/10.41 ld(op_d,sF0_fnc)=sF1_fnc),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f30,f16])).
% 0.15/10.41 fof(f126,plain,(
% 0.15/10.41 op_d=mult(op_c,unit)),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f36,f25])).
% 0.15/10.41 fof(f128,plain,(
% 0.15/10.41 ![X0]: (op_d=ld(ld(op_c,X0),X0))),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f15,f25])).
% 0.15/10.41 fof(f133,plain,(
% 0.15/10.41 ![X0]: (mult(X0,op_d)=mult(op_c,X0))),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f25,f15])).
% 0.15/10.41 fof(f137,plain,(
% 0.15/10.41 ld(op_c,sF0_fnc)=sF1_fnc),
% 0.15/10.41 inference(backward_demodulation,[status(thm)],[f143,f46])).
% 0.15/10.41 fof(f138,plain,(
% 0.15/10.41 ld(op_c,sF3_fnc)=x0),
% 0.15/10.41 inference(backward_demodulation,[status(thm)],[f143,f45])).
% 0.15/10.41 fof(f143,plain,(
% 0.15/10.41 op_d=op_c),
% 0.15/10.41 inference(forward_demodulation,[status(thm)],[f19,f126])).
% 0.15/10.41 fof(f144,plain,(
% 0.15/10.41 ![X0]: (op_c=ld(ld(op_c,X0),X0))),
% 0.15/10.41 inference(forward_demodulation,[status(thm)],[f143,f128])).
% 0.15/10.41 fof(f148,plain,(
% 0.15/10.41 ![X0]: (mult(X0,op_c)=mult(op_c,X0))),
% 0.15/10.41 inference(forward_demodulation,[status(thm)],[f143,f133])).
% 0.15/10.41 fof(f175,plain,(
% 0.15/10.41 mult(x0,mult(x1,op_c))=mult(sF1_fnc,op_c)),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f29,f23])).
% 0.15/10.41 fof(f191,plain,(
% 0.15/10.41 op_c=ld(x0,sF3_fnc)),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f138,f144])).
% 0.15/10.41 fof(f192,plain,(
% 0.15/10.41 op_c=ld(sF1_fnc,sF0_fnc)),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f137,f144])).
% 0.15/10.41 fof(f200,plain,(
% 0.15/10.41 mult(x0,op_c)=sF3_fnc),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f191,f15])).
% 0.15/10.41 fof(f203,plain,(
% 0.15/10.41 mult(sF1_fnc,op_c)=sF0_fnc),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f192,f15])).
% 0.15/10.41 fof(f205,plain,(
% 0.15/10.41 mult(x0,mult(x1,op_c))=sF0_fnc),
% 0.15/10.41 inference(backward_demodulation,[status(thm)],[f203,f175])).
% 0.15/10.41 fof(f223,plain,(
% 0.15/10.41 ![X0]: (mult(x0,mult(op_c,X0))=mult(sF3_fnc,X0))),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f200,f24])).
% 0.15/10.41 fof(f574,plain,(
% 0.15/10.41 mult(x0,mult(op_c,x1))=sF0_fnc),
% 0.15/10.41 inference(paramodulation,[status(thm)],[f148,f205])).
% 0.15/10.41 fof(f596,plain,(
% 0.15/10.41 sF2_fnc=sF0_fnc),
% 0.15/10.41 inference(backward_demodulation,[status(thm)],[f597,f32])).
% 0.15/10.41 fof(f597,plain,(
% 0.15/10.41 mult(sF3_fnc,x1)=sF0_fnc),
% 0.15/10.41 inference(forward_demodulation,[status(thm)],[f223,f574])).
% 0.15/10.41 fof(f602,plain,(
% 0.15/10.41 $false),
% 0.15/10.41 inference(forward_subsumption_resolution,[status(thm)],[f596,f33])).
% 0.15/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.43 % Elapsed time: 0.038056 seconds
% 0.15/10.43 % CPU time: 0.112986 seconds
% 0.15/10.43 % Total memory used: 6.584 MB
% 0.15/10.43 % Net memory used: 6.539 MB
%------------------------------------------------------------------------------