%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP728-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:37:15 PM UTC 2026
% Result : Unsatisfiable 18.75s 2.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP728-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 20:36:04 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 18.75/2.87 % Refutation found
% 18.75/2.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.75/2.87 % SZS output start CNFRefutation for theBenchmark
% 18.75/2.87 fof(f1,axiom,(
% 18.75/2.87 (![A]: (mult(unit,A) = A ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f2,axiom,(
% 18.75/2.87 (![A]: (mult(A,unit) = A ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f3,axiom,(
% 18.75/2.87 (![A]: (mult(A,i(A)) = unit ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f4,axiom,(
% 18.75/2.87 (![A]: (mult(i(A),A) = unit ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f5,axiom,(
% 18.75/2.87 (![A,B]: (i(mult(A,B)) = mult(i(A),i(B)) ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f6,axiom,(
% 18.75/2.87 (![A,B]: (mult(i(A),mult(A,B)) = B ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f7,axiom,(
% 18.75/2.87 (![A,B]: (rd(mult(A,B),B) = A ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f8,axiom,(
% 18.75/2.87 (![A,B]: (mult(rd(A,B),B) = A ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f9,axiom,(
% 18.75/2.87 (![A,B,C]: (mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))) ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f10,axiom,(
% 18.75/2.87 (![A,B,C]: (mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)) ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f11,axiom,(
% 18.75/2.87 (![A,B]: (mult(A,B) = mult(mult(B,A),op_k(A,B)) ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f13,axiom,(
% 18.75/2.87 (![A,B,C]: (op_r(A,B,C) = rd(mult(mult(A,B),C),mult(B,C)) ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f14,axiom,(
% 18.75/2.87 (![A,B]: (op_t(A,B) = mult(i(B),mult(A,B)) ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f21,axiom,(
% 18.75/2.87 (![A,B,C,D,E]: (asoc(asoc(A,B,C),D,E) = unit ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f22,axiom,(
% 18.75/2.87 (![A,B,C,D,E]: (asoc(A,B,asoc(C,D,E)) = unit ))),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f23,negated_conjecture,(
% 18.75/2.87 op_k(op_k(a,b),c) != unit ),
% 18.75/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.75/2.87 fof(f24,plain,(
% 18.75/2.87 ![X0]: (mult(unit,X0)=X0)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f1])).
% 18.75/2.87 fof(f25,plain,(
% 18.75/2.87 ![X0]: (mult(X0,unit)=X0)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f2])).
% 18.75/2.87 fof(f26,plain,(
% 18.75/2.87 ![X0]: (mult(X0,i(X0))=unit)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f3])).
% 18.75/2.87 fof(f27,plain,(
% 18.75/2.87 ![X0]: (mult(i(X0),X0)=unit)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f4])).
% 18.75/2.87 fof(f28,plain,(
% 18.75/2.87 ![X0,X1]: (i(mult(X0,X1))=mult(i(X0),i(X1)))),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f5])).
% 18.75/2.87 fof(f29,plain,(
% 18.75/2.87 ![X0,X1]: (mult(i(X0),mult(X0,X1))=X1)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f6])).
% 18.75/2.87 fof(f30,plain,(
% 18.75/2.87 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f7])).
% 18.75/2.87 fof(f31,plain,(
% 18.75/2.87 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f8])).
% 18.75/2.87 fof(f32,plain,(
% 18.75/2.87 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X0)),X2)=mult(X0,mult(X1,mult(X0,X2))))),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f9])).
% 18.75/2.87 fof(f33,plain,(
% 18.75/2.87 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)))),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f10])).
% 18.75/2.87 fof(f34,plain,(
% 18.75/2.87 ![X0,X1]: (mult(X0,X1)=mult(mult(X1,X0),op_k(X0,X1)))),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f11])).
% 18.75/2.87 fof(f36,plain,(
% 18.75/2.87 ![X0,X1,X2]: (op_r(X0,X1,X2)=rd(mult(mult(X0,X1),X2),mult(X1,X2)))),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f13])).
% 18.75/2.87 fof(f37,plain,(
% 18.75/2.87 ![X0,X1]: (op_t(X0,X1)=mult(i(X1),mult(X0,X1)))),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f14])).
% 18.75/2.87 fof(f44,plain,(
% 18.75/2.87 ![X0,X1,X2,X3,X4]: (asoc(asoc(X0,X1,X2),X3,X4)=unit)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f21])).
% 18.75/2.87 fof(f45,plain,(
% 18.75/2.87 ![X0,X1,X2,X3,X4]: (asoc(X0,X1,asoc(X2,X3,X4))=unit)),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f22])).
% 18.75/2.87 fof(f46,plain,(
% 18.75/2.87 ~op_k(op_k(a,b),c)=unit),
% 18.75/2.87 inference(cnf_transformation,[status(thm)],[f23])).
% 18.75/2.87 fof(f52,plain,(
% 18.75/2.87 i(unit)=unit),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f24,f26])).
% 18.75/2.87 fof(f58,plain,(
% 18.75/2.87 ![X0]: (rd(unit,X0)=i(X0))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f27,f30])).
% 18.75/2.87 fof(f60,plain,(
% 18.75/2.87 ![X0]: (rd(unit,i(X0))=X0)),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f26,f30])).
% 18.75/2.87 fof(f61,plain,(
% 18.75/2.87 ![X0]: (rd(X0,unit)=X0)),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f25,f30])).
% 18.75/2.87 fof(f62,plain,(
% 18.75/2.87 ![X0]: (i(i(X0))=X0)),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f58,f60])).
% 18.75/2.87 fof(f78,plain,(
% 18.75/2.87 ![X0,X1]: (i(mult(X0,i(X1)))=mult(i(X0),X1))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f62,f28])).
% 18.75/2.87 fof(f79,plain,(
% 18.75/2.87 ![X0,X1]: (i(mult(i(X0),X1))=mult(X0,i(X1)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f62,f28])).
% 18.75/2.87 fof(f97,plain,(
% 18.75/2.87 ![X0,X1]: (mult(X0,mult(i(X0),X1))=X1)),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f62,f29])).
% 18.75/2.87 fof(f99,plain,(
% 18.75/2.87 ![X0,X1]: (mult(i(rd(X0,X1)),X0)=X1)),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f31,f29])).
% 18.75/2.87 fof(f101,plain,(
% 18.75/2.87 ![X0,X1]: (mult(i(i(X0)),i(mult(X0,X1)))=i(X1))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f28,f29])).
% 18.75/2.87 fof(f106,plain,(
% 18.75/2.87 ![X0,X1]: (rd(X0,mult(X1,X0))=i(X1))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f29,f30])).
% 18.75/2.87 fof(f108,plain,(
% 18.75/2.87 ![X0,X1]: (i(mult(i(X0),mult(X0,X1)))=i(X1))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f28,f101])).
% 18.75/2.87 fof(f109,plain,(
% 18.75/2.87 ![X0,X1]: (mult(X0,i(mult(X0,X1)))=i(X1))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f79,f108])).
% 18.75/2.87 fof(f118,plain,(
% 18.75/2.87 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(X0,mult(rd(X1,X0),mult(X0,X2))))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f31,f32])).
% 18.75/2.87 fof(f176,plain,(
% 18.75/2.87 ![X0,X1]: (rd(X0,X1)=i(rd(X1,X0)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f99,f30])).
% 18.75/2.87 fof(f222,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(i(mult(X0,X1)),X0),X1)=mult(unit,asoc(i(mult(X0,X1)),X0,X1)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f27,f33])).
% 18.75/2.87 fof(f245,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(i(mult(X0,X1)),X0),X1)=asoc(i(mult(X0,X1)),X0,X1))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f24,f222])).
% 18.75/2.87 fof(f267,plain,(
% 18.75/2.87 ![X0,X1,X2,X3,X4]: (mult(mult(X0,X1),asoc(X2,X3,X4))=mult(mult(X0,mult(X1,asoc(X2,X3,X4))),unit))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f45,f33])).
% 18.75/2.87 fof(f279,plain,(
% 18.75/2.87 ![X0,X1,X2,X3,X4]: (mult(mult(X0,X1),asoc(X2,X3,X4))=mult(X0,mult(X1,asoc(X2,X3,X4))))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f25,f267])).
% 18.75/2.87 fof(f360,plain,(
% 18.75/2.87 ![X0,X1]: (mult(i(mult(X0,X1)),mult(X1,X0))=op_k(X1,X0))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f34,f29])).
% 18.75/2.87 fof(f361,plain,(
% 18.75/2.87 ![X0,X1]: (rd(mult(X0,X1),op_k(X0,X1))=mult(X1,X0))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f34,f30])).
% 18.75/2.87 fof(f549,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,i(mult(X0,X1)))=rd(unit,mult(X1,i(mult(X0,X1)))))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f26,f36])).
% 18.75/2.87 fof(f550,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,unit)=rd(mult(X0,X1),mult(X1,unit)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f25,f36])).
% 18.75/2.87 fof(f575,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,i(mult(X0,X1)))=i(mult(X1,i(mult(X0,X1)))))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f58,f549])).
% 18.75/2.87 fof(f576,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,i(mult(X0,X1)))=mult(i(X1),mult(X0,X1)))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f78,f575])).
% 18.75/2.87 fof(f577,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,i(mult(X0,X1)))=op_t(X0,X1))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f37,f576])).
% 18.75/2.87 fof(f578,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,unit)=rd(mult(X0,X1),X1))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f25,f550])).
% 18.75/2.87 fof(f579,plain,(
% 18.75/2.87 ![X0,X1]: (op_r(X0,X1,unit)=X0)),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f30,f578])).
% 18.75/2.87 fof(f625,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(X0,X1),i(mult(X1,X0)))=i(op_k(X1,X0)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f34,f109])).
% 18.75/2.87 fof(f626,plain,(
% 18.75/2.87 ![X0,X1]: (mult(rd(X0,X1),i(X0))=i(X1))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f31,f109])).
% 18.75/2.87 fof(f703,plain,(
% 18.75/2.87 ![X0,X1]: (rd(op_t(X0,X1),mult(X0,X1))=i(X1))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f37,f30])).
% 18.75/2.87 fof(f1611,plain,(
% 18.75/2.87 ![X0,X1,X2]: (i(mult(X0,mult(i(X1),X2)))=mult(i(X0),mult(X1,i(X2))))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f78,f78])).
% 18.75/2.87 fof(f1725,plain,(
% 18.75/2.87 ![X0,X1,X2]: (i(mult(mult(i(X0),X1),X2))=mult(mult(X0,i(X1)),i(X2)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f78,f79])).
% 18.75/2.87 fof(f2100,plain,(
% 18.75/2.87 ![X0,X1]: (rd(i(X0),op_k(rd(X1,X0),i(X1)))=mult(i(X1),rd(X1,X0)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f626,f361])).
% 18.75/2.87 fof(f2111,plain,(
% 18.75/2.87 ![X0,X1]: (rd(i(X0),op_k(X1,i(mult(X1,X0))))=mult(i(mult(X1,X0)),X1))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f109,f361])).
% 18.75/2.87 fof(f4125,plain,(
% 18.75/2.87 ![X0,X1,X2]: (mult(mult(X0,X1),mult(i(X0),X2))=mult(X0,mult(rd(X1,X0),X2)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f97,f118])).
% 18.75/2.87 fof(f4128,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(X0,X1),i(X0))=mult(X0,mult(rd(X1,X0),unit)))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f26,f118])).
% 18.75/2.87 fof(f4219,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(X0,X1),i(X0))=mult(X0,rd(X1,X0)))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f25,f4128])).
% 18.75/2.87 fof(f6852,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(i(i(X0)),X1),i(mult(X1,X0)))=asoc(i(mult(X1,i(mult(X1,X0)))),X1,i(mult(X1,X0))))),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f109,f245])).
% 18.75/2.87 fof(f6882,plain,(
% 18.75/2.87 ![X0,X1]: (mult(i(mult(i(mult(X0,X1)),X0)),asoc(i(mult(X0,X1)),X0,X1))=X1)),
% 18.75/2.87 inference(paramodulation,[status(thm)],[f245,f29])).
% 18.75/2.87 fof(f6983,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(X0,X1),i(mult(X1,X0)))=asoc(i(mult(X1,i(mult(X1,X0)))),X1,i(mult(X1,X0))))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f62,f6852])).
% 18.75/2.87 fof(f6984,plain,(
% 18.75/2.87 ![X0,X1]: (i(op_k(X0,X1))=asoc(i(mult(X0,i(mult(X0,X1)))),X0,i(mult(X0,X1))))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f625,f6983])).
% 18.75/2.87 fof(f6985,plain,(
% 18.75/2.87 ![X0,X1]: (i(op_k(X0,X1))=asoc(mult(i(X0),mult(X0,X1)),X0,i(mult(X0,X1))))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f78,f6984])).
% 18.75/2.87 fof(f6986,plain,(
% 18.75/2.87 ![X0,X1]: (i(op_k(X0,X1))=asoc(X1,X0,i(mult(X0,X1))))),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f29,f6985])).
% 18.75/2.87 fof(f7015,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(mult(X0,X1),i(X0)),asoc(i(mult(X0,X1)),X0,X1))=X1)),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f79,f6882])).
% 18.75/2.87 fof(f7016,plain,(
% 18.75/2.87 ![X0,X1]: (mult(mult(X0,X1),mult(i(X0),asoc(i(mult(X0,X1)),X0,X1)))=X1)),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f279,f7015])).
% 18.75/2.88 fof(f7017,plain,(
% 18.75/2.88 ![X0,X1]: (mult(X0,mult(rd(X1,X0),asoc(i(mult(X0,X1)),X0,X1)))=X1)),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f4125,f7016])).
% 18.75/2.88 fof(f7135,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(mult(X0,mult(i(mult(X1,X0)),X1))),asoc(i(mult(X1,X0)),X1,X0))=op_k(mult(i(mult(X1,X0)),X1),X0))),
% 18.75/2.88 inference(paramodulation,[status(thm)],[f245,f360])).
% 18.75/2.88 fof(f7142,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(mult(i(X0),rd(X0,X1))),i(X1))=op_k(rd(X0,X1),i(X0)))),
% 18.75/2.88 inference(paramodulation,[status(thm)],[f626,f360])).
% 18.75/2.88 fof(f7146,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(mult(mult(X0,X1),i(mult(X1,X0)))),op_k(X0,X1))=op_k(i(mult(X1,X0)),mult(X0,X1)))),
% 18.75/2.88 inference(paramodulation,[status(thm)],[f360,f360])).
% 18.75/2.88 fof(f7161,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(mult(i(mult(X0,X1)),X0)),i(X1))=op_k(X0,i(mult(X0,X1))))),
% 18.75/2.88 inference(paramodulation,[status(thm)],[f109,f360])).
% 18.75/2.88 fof(f7246,plain,(
% 18.75/2.88 ![X0,X1]: (mult(mult(i(X0),mult(mult(X1,X0),i(X1))),asoc(i(mult(X1,X0)),X1,X0))=op_k(mult(i(mult(X1,X0)),X1),X0))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f1611,f7135])).
% 18.75/2.88 fof(f7247,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(X0),mult(mult(mult(X1,X0),i(X1)),asoc(i(mult(X1,X0)),X1,X0)))=op_k(mult(i(mult(X1,X0)),X1),X0))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f279,f7246])).
% 18.75/2.88 fof(f7248,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(X0),mult(mult(X1,X0),mult(i(X1),asoc(i(mult(X1,X0)),X1,X0))))=op_k(mult(i(mult(X1,X0)),X1),X0))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f279,f7247])).
% 18.75/2.88 fof(f7249,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(X0),mult(X1,mult(rd(X0,X1),asoc(i(mult(X1,X0)),X1,X0))))=op_k(mult(i(mult(X1,X0)),X1),X0))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f4125,f7248])).
% 18.75/2.88 fof(f7250,plain,(
% 18.75/2.88 ![X0,X1]: (mult(i(X0),X0)=op_k(mult(i(mult(X1,X0)),X1),X0))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f7017,f7249])).
% 18.75/2.88 fof(f7251,plain,(
% 18.75/2.88 ![X0,X1]: (unit=op_k(mult(i(mult(X0,X1)),X0),X1))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f27,f7250])).
% 18.75/2.88 fof(f7256,plain,(
% 18.75/2.88 ![X0,X1]: (i(mult(mult(i(X0),rd(X0,X1)),X1))=op_k(rd(X0,X1),i(X0)))),
% 18.75/2.88 inference(forward_demodulation,[status(thm)],[f28,f7142])).
% 18.10/2.97 fof(f7257,plain,(
% 18.10/2.97 ![X0,X1]: (mult(mult(X0,i(rd(X0,X1))),i(X1))=op_k(rd(X0,X1),i(X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f1725,f7256])).
% 18.10/2.97 fof(f7259,plain,(
% 18.10/2.97 ![X0,X1]: (mult(mult(X0,rd(X1,X0)),i(X1))=op_k(rd(X0,X1),i(X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f176,f7257])).
% 18.10/2.97 fof(f7266,plain,(
% 18.10/2.97 ![X0,X1]: (mult(mult(i(mult(X0,X1)),mult(X1,X0)),op_k(X0,X1))=op_k(i(mult(X1,X0)),mult(X0,X1)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f78,f7146])).
% 18.10/2.97 fof(f7267,plain,(
% 18.10/2.97 ![X0,X1]: (mult(op_k(X0,X1),op_k(X1,X0))=op_k(i(mult(X0,X1)),mult(X1,X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f360,f7266])).
% 18.10/2.97 fof(f7299,plain,(
% 18.10/2.97 ![X0,X1]: (i(mult(mult(i(mult(X0,X1)),X0),X1))=op_k(X0,i(mult(X0,X1))))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f28,f7161])).
% 18.10/2.97 fof(f7300,plain,(
% 18.10/2.97 ![X0,X1]: (mult(mult(mult(X0,X1),i(X0)),i(X1))=op_k(X0,i(mult(X0,X1))))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f1725,f7299])).
% 18.10/2.97 fof(f7301,plain,(
% 18.10/2.97 ![X0,X1]: (op_k(X0,i(mult(X0,X1)))=op_k(rd(X0,X1),i(X0)))),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f7302,f7259])).
% 18.10/2.97 fof(f7302,plain,(
% 18.10/2.97 ![X0,X1]: (mult(mult(X0,rd(X1,X0)),i(X1))=op_k(X0,i(mult(X0,X1))))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f4219,f7300])).
% 18.10/2.97 fof(f7383,plain,(
% 18.10/2.97 ![X0,X1]: (rd(i(X0),op_k(X1,i(mult(X1,X0))))=mult(i(X1),rd(X1,X0)))),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f7301,f2100])).
% 18.10/2.97 fof(f7420,plain,(
% 18.10/2.97 ![X0,X1]: (mult(i(X0),rd(X0,X1))=mult(i(mult(X0,X1)),X0))),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f7383,f2111])).
% 18.10/2.97 fof(f7447,plain,(
% 18.10/2.97 ![X0,X1]: (unit=op_k(mult(i(X0),rd(X0,X1)),X1))),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f7420,f7251])).
% 18.10/2.97 fof(f7901,plain,(
% 18.10/2.97 ![X0,X1]: (unit=op_k(mult(i(X0),i(X1)),mult(X1,X0)))),
% 18.10/2.97 inference(paramodulation,[status(thm)],[f106,f7447])).
% 18.10/2.97 fof(f7935,plain,(
% 18.10/2.97 ![X0,X1]: (mult(op_k(X0,X1),op_k(X1,X0))=unit)),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f7936,f7267])).
% 18.10/2.97 fof(f7936,plain,(
% 18.10/2.97 ![X0,X1]: (unit=op_k(i(mult(X0,X1)),mult(X1,X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f28,f7901])).
% 18.10/2.97 fof(f8034,plain,(
% 18.10/2.97 ![X0,X1]: (op_r(op_k(X0,X1),op_k(X1,X0),i(unit))=op_t(op_k(X0,X1),op_k(X1,X0)))),
% 18.10/2.97 inference(paramodulation,[status(thm)],[f7935,f577])).
% 18.10/2.97 fof(f8039,plain,(
% 18.10/2.97 ![X0,X1]: (rd(op_t(op_k(X0,X1),op_k(X1,X0)),unit)=i(op_k(X1,X0)))),
% 18.10/2.97 inference(paramodulation,[status(thm)],[f7935,f703])).
% 18.10/2.97 fof(f8107,plain,(
% 18.10/2.97 ![X0,X1]: (op_r(op_k(X0,X1),op_k(X1,X0),unit)=op_t(op_k(X0,X1),op_k(X1,X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f52,f8034])).
% 18.10/2.97 fof(f8109,plain,(
% 18.10/2.97 ![X0,X1]: (op_k(X0,X1)=op_t(op_k(X0,X1),op_k(X1,X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f579,f8107])).
% 18.10/2.97 fof(f8118,plain,(
% 18.10/2.97 ![X0,X1]: (op_t(op_k(X0,X1),op_k(X1,X0))=i(op_k(X1,X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f61,f8039])).
% 18.10/2.97 fof(f8140,plain,(
% 18.10/2.97 ![X0,X1]: (op_k(X0,X1)=asoc(X0,X1,i(mult(X1,X0))))),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f8145,f6986])).
% 18.10/2.97 fof(f8145,plain,(
% 18.10/2.97 ![X0,X1]: (op_k(X0,X1)=i(op_k(X1,X0)))),
% 18.10/2.97 inference(forward_demodulation,[status(thm)],[f8109,f8118])).
% 18.10/2.97 fof(f13157,plain,(
% 18.10/2.97 ![X0,X1,X2,X3]: (op_k(asoc(X0,X1,X2),X3)=unit)),
% 18.10/2.97 inference(paramodulation,[status(thm)],[f44,f8140])).
% 18.10/2.97 fof(f13598,plain,(
% 18.10/2.97 ![X0,X1,X2]: (op_k(op_k(X0,X1),X2)=unit)),
% 18.10/2.97 inference(paramodulation,[status(thm)],[f8140,f13157])).
% 18.10/2.97 fof(f13623,plain,(
% 18.10/2.97 ~unit=unit),
% 18.10/2.97 inference(backward_demodulation,[status(thm)],[f13598,f46])).
% 18.10/2.97 fof(f13647,plain,(
% 18.10/2.97 $false),
% 18.10/2.97 inference(trivial_equality_resolution,[status(thm)],[f13623])).
% 18.10/2.97 % SZS output end CNFRefutation for theBenchmark.p
% 18.10/3.00 % Elapsed time: 2.533543 seconds
% 18.10/3.00 % CPU time: 19.692563 seconds
% 18.10/3.00 % Total memory used: 347.989 MB
% 18.10/3.00 % Net memory used: 342.399 MB
%------------------------------------------------------------------------------