%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP696-1 : 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 : n001.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 39.84s 5.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP696-1 : 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 : n001.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 20:38:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 39.84/5.64 % Refutation found
% 39.84/5.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.84/5.64 % SZS output start CNFRefutation for theBenchmark
% 39.84/5.64 fof(f1,axiom,(
% 39.84/5.64 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f2,axiom,(
% 39.84/5.64 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f3,axiom,(
% 39.84/5.64 (![A,B]: (mult(rd(A,B),B) = A ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f4,axiom,(
% 39.84/5.64 (![A,B]: (rd(mult(A,B),B) = A ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f6,axiom,(
% 39.84/5.64 (![A]: (mult(unit,A) = A ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f7,axiom,(
% 39.84/5.64 (![A,B]: (mult(A,i(mult(B,A))) = i(B) ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f8,axiom,(
% 39.84/5.64 (![A,B,C]: (mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)) ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f9,axiom,(
% 39.84/5.64 (![A,B,C]: (mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))) ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f10,axiom,(
% 39.84/5.64 (![A]: (mult(i(A),A) = unit ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f11,axiom,(
% 39.84/5.64 (![A]: (mult(A,i(A)) = unit ))),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f12,negated_conjecture,(
% 39.84/5.64 mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)) ),
% 39.84/5.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.84/5.64 fof(f13,plain,(
% 39.84/5.64 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f1])).
% 39.84/5.64 fof(f14,plain,(
% 39.84/5.64 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f2])).
% 39.84/5.64 fof(f15,plain,(
% 39.84/5.64 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f3])).
% 39.84/5.64 fof(f16,plain,(
% 39.84/5.64 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f4])).
% 39.84/5.64 fof(f18,plain,(
% 39.84/5.64 ![X0]: (mult(unit,X0)=X0)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f6])).
% 39.84/5.64 fof(f19,plain,(
% 39.84/5.64 ![X0,X1]: (mult(X0,i(mult(X1,X0)))=i(X1))),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f7])).
% 39.84/5.64 fof(f20,plain,(
% 39.84/5.64 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(rd(mult(X0,X1),X0),mult(X0,X2)))),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f8])).
% 39.84/5.64 fof(f21,plain,(
% 39.84/5.64 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,X2),ld(X2,mult(X1,X2))))),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f9])).
% 39.84/5.64 fof(f22,plain,(
% 39.84/5.64 ![X0]: (mult(i(X0),X0)=unit)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f10])).
% 39.84/5.64 fof(f23,plain,(
% 39.84/5.64 ![X0]: (mult(X0,i(X0))=unit)),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f11])).
% 39.84/5.64 fof(f24,plain,(
% 39.84/5.64 ~mult(mult(mult(a,b),a),mult(a,c))=mult(a,mult(mult(mult(b,a),a),c))),
% 39.84/5.64 inference(cnf_transformation,[status(thm)],[f12])).
% 39.84/5.64 fof(f25,definition,(
% 39.84/5.64 sF2_fnc=mult(a,b)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 39.84/5.64 fof(f26,definition,(
% 39.84/5.64 sF1_fnc=mult(sF2_fnc,a)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 39.84/5.64 fof(f27,definition,(
% 39.84/5.64 sF3_fnc=mult(a,c)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 39.84/5.64 fof(f28,definition,(
% 39.84/5.64 sF0_fnc=mult(sF1_fnc,sF3_fnc)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 39.84/5.64 fof(f29,definition,(
% 39.84/5.64 sF7_fnc=mult(b,a)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 39.84/5.64 fof(f30,definition,(
% 39.84/5.64 sF6_fnc=mult(sF7_fnc,a)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 39.84/5.64 fof(f31,definition,(
% 39.84/5.64 sF5_fnc=mult(sF6_fnc,c)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 39.84/5.64 fof(f32,definition,(
% 39.84/5.64 sF4_fnc=mult(a,sF5_fnc)),
% 39.84/5.64 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 39.84/5.64 fof(f33,plain,(
% 39.84/5.64 ~sF0_fnc=sF4_fnc),
% 39.84/5.64 inference(definition_folding,[],[f24,f32,f31,f30,f29,f28,f27,f26,f25])).
% 39.84/5.64 fof(f79,plain,(
% 39.84/5.64 ![X0,X1]: (mult(X0,i(X1))=i(rd(X1,X0)))),
% 39.84/5.64 inference(paramodulation,[status(thm)],[f15,f19])).
% 39.84/5.64 fof(f81,plain,(
% 26.74/5.80 mult(a,i(sF7_fnc))=i(b)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f29,f19])).
% 26.74/5.80 fof(f86,plain,(
% 26.74/5.80 mult(b,i(sF2_fnc))=i(a)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f25,f19])).
% 26.74/5.80 fof(f88,plain,(
% 26.74/5.80 ![X0,X1]: (mult(ld(X0,X1),i(X1))=i(X0))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f13,f19])).
% 26.74/5.80 fof(f92,plain,(
% 26.74/5.80 ![X0,X1]: (ld(X0,i(X1))=i(mult(X1,X0)))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f19,f14])).
% 26.74/5.80 fof(f124,plain,(
% 26.74/5.80 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(X0,X2))=rd(mult(X0,X1),X0))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f20,f16])).
% 26.74/5.80 fof(f168,plain,(
% 26.74/5.80 ![X0]: (mult(mult(sF2_fnc,X0),a)=mult(sF1_fnc,ld(a,mult(X0,a))))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f26,f21])).
% 26.74/5.80 fof(f216,plain,(
% 26.74/5.80 ![X0,X1]: (mult(mult(i(X0),X1),X0)=mult(unit,ld(X0,mult(X1,X0))))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f22,f21])).
% 26.74/5.80 fof(f217,plain,(
% 26.74/5.80 ![X0]: (rd(unit,X0)=i(X0))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f22,f16])).
% 26.74/5.80 fof(f219,plain,(
% 26.74/5.80 ![X0,X1]: (mult(mult(i(X0),X1),X0)=ld(X0,mult(X1,X0)))),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f18,f216])).
% 26.74/5.80 fof(f225,plain,(
% 26.74/5.80 ![X0]: (rd(unit,i(X0))=X0)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f23,f16])).
% 26.74/5.80 fof(f230,plain,(
% 26.74/5.80 ![X0]: (i(i(X0))=X0)),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f217,f225])).
% 26.74/5.80 fof(f306,plain,(
% 26.74/5.80 ld(a,i(b))=i(sF7_fnc)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f81,f14])).
% 26.74/5.80 fof(f351,plain,(
% 26.74/5.80 ![X0,X1]: (i(mult(X0,i(X1)))=rd(X1,X0))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f79,f230])).
% 26.74/5.80 fof(f367,plain,(
% 26.74/5.80 ![X0,X1]: (ld(i(X0),i(X1))=rd(X0,X1))),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f92,f351])).
% 26.74/5.80 fof(f373,plain,(
% 26.74/5.80 ld(b,i(a))=i(sF2_fnc)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f86,f14])).
% 26.74/5.80 fof(f506,plain,(
% 26.74/5.80 mult(i(sF2_fnc),i(i(a)))=i(b)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f373,f88])).
% 26.74/5.80 fof(f509,plain,(
% 26.74/5.80 mult(i(sF2_fnc),a)=i(b)),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f230,f506])).
% 26.74/5.80 fof(f886,plain,(
% 26.74/5.80 ![X0]: (rd(mult(X0,sF5_fnc),mult(X0,c))=rd(mult(X0,sF6_fnc),X0))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f31,f124])).
% 26.74/5.80 fof(f1798,plain,(
% 26.74/5.80 mult(mult(sF2_fnc,i(sF2_fnc)),a)=mult(sF1_fnc,ld(a,i(b)))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f509,f168])).
% 26.74/5.80 fof(f1810,plain,(
% 26.74/5.80 mult(unit,a)=mult(sF1_fnc,ld(a,i(b)))),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f23,f1798])).
% 26.74/5.80 fof(f1811,plain,(
% 26.74/5.80 a=mult(sF1_fnc,ld(a,i(b)))),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f18,f1810])).
% 26.74/5.80 fof(f1812,plain,(
% 26.74/5.80 a=mult(sF1_fnc,i(sF7_fnc))),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f306,f1811])).
% 26.74/5.80 fof(f1831,plain,(
% 26.74/5.80 ld(i(sF7_fnc),i(sF1_fnc))=i(a)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f1812,f92])).
% 26.74/5.80 fof(f1836,plain,(
% 26.74/5.80 rd(sF7_fnc,sF1_fnc)=i(a)),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f367,f1831])).
% 26.74/5.80 fof(f2837,plain,(
% 26.74/5.80 mult(i(a),sF1_fnc)=sF7_fnc),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f1836,f15])).
% 26.74/5.80 fof(f5041,plain,(
% 26.74/5.80 mult(sF7_fnc,a)=ld(a,mult(sF1_fnc,a))),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f2837,f219])).
% 26.74/5.80 fof(f5164,plain,(
% 26.74/5.80 sF6_fnc=ld(a,mult(sF1_fnc,a))),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f30,f5041])).
% 26.74/5.80 fof(f5822,plain,(
% 26.74/5.80 mult(a,sF6_fnc)=mult(sF1_fnc,a)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f5164,f13])).
% 26.74/5.80 fof(f6579,plain,(
% 26.74/5.80 rd(mult(a,sF6_fnc),a)=sF1_fnc),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f5822,f16])).
% 26.74/5.80 fof(f29012,plain,(
% 26.74/5.80 rd(sF4_fnc,mult(a,c))=rd(mult(a,sF6_fnc),a)),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f32,f886])).
% 26.74/5.80 fof(f29083,plain,(
% 26.74/5.80 rd(sF4_fnc,sF3_fnc)=rd(mult(a,sF6_fnc),a)),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f27,f29012])).
% 26.74/5.80 fof(f29084,plain,(
% 26.74/5.80 rd(sF4_fnc,sF3_fnc)=sF1_fnc),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f6579,f29083])).
% 26.74/5.80 fof(f29392,plain,(
% 26.74/5.80 mult(sF1_fnc,sF3_fnc)=sF4_fnc),
% 26.74/5.80 inference(paramodulation,[status(thm)],[f29084,f15])).
% 26.74/5.80 fof(f29409,plain,(
% 26.74/5.80 sF0_fnc=sF4_fnc),
% 26.74/5.80 inference(forward_demodulation,[status(thm)],[f28,f29392])).
% 26.74/5.80 fof(f29410,plain,(
% 26.74/5.80 $false),
% 26.74/5.80 inference(forward_subsumption_resolution,[status(thm)],[f29409,f33])).
% 26.74/5.80 % SZS output end CNFRefutation for theBenchmark.p
% 26.74/5.84 % Elapsed time: 5.467444 seconds
% 26.74/5.84 % CPU time: 42.909198 seconds
% 26.74/5.84 % Total memory used: 575.508 MB
% 26.74/5.84 % Net memory used: 565.974 MB
%------------------------------------------------------------------------------