%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP729-1 : 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 : n002.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 2.16s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP729-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:38:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 2.16/0.74 % Refutation found
% 2.16/0.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.16/0.74 % SZS output start CNFRefutation for theBenchmark
% 2.16/0.74 fof(f1,axiom,(
% 2.16/0.74 (![A]: (mult(unit,A) = A ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f3,axiom,(
% 2.16/0.74 (![A]: (mult(A,i(A)) = unit ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f4,axiom,(
% 2.16/0.74 (![A]: (mult(i(A),A) = unit ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f5,axiom,(
% 2.16/0.74 (![A,B]: (i(mult(A,B)) = mult(i(A),i(B)) ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f6,axiom,(
% 2.16/0.74 (![A,B]: (mult(i(A),mult(A,B)) = B ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f7,axiom,(
% 2.16/0.74 (![A,B]: (rd(mult(A,B),B) = A ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f10,axiom,(
% 2.16/0.74 (![A,B,C]: (mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)) ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f11,axiom,(
% 2.16/0.74 (![A,B]: (mult(A,B) = mult(mult(B,A),op_k(A,B)) ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f22,axiom,(
% 2.16/0.74 (![A,B,C,D,E]: (asoc(A,B,asoc(C,D,E)) = unit ))),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f23,negated_conjecture,(
% 2.16/0.74 asoc(a,b,op_k(c,d)) != unit ),
% 2.16/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.16/0.74 fof(f24,plain,(
% 2.16/0.74 ![X0]: (mult(unit,X0)=X0)),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 2.16/0.74 fof(f26,plain,(
% 2.16/0.74 ![X0]: (mult(X0,i(X0))=unit)),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 2.16/0.74 fof(f27,plain,(
% 2.16/0.74 ![X0]: (mult(i(X0),X0)=unit)),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 2.16/0.74 fof(f28,plain,(
% 2.16/0.74 ![X0,X1]: (i(mult(X0,X1))=mult(i(X0),i(X1)))),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 2.16/0.74 fof(f29,plain,(
% 2.16/0.74 ![X0,X1]: (mult(i(X0),mult(X0,X1))=X1)),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 2.16/0.74 fof(f30,plain,(
% 2.16/0.74 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 2.16/0.74 fof(f33,plain,(
% 2.16/0.74 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)))),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f10])).
% 2.16/0.74 fof(f34,plain,(
% 2.16/0.74 ![X0,X1]: (mult(X0,X1)=mult(mult(X1,X0),op_k(X0,X1)))),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f11])).
% 2.16/0.74 fof(f45,plain,(
% 2.16/0.74 ![X0,X1,X2,X3,X4]: (asoc(X0,X1,asoc(X2,X3,X4))=unit)),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f22])).
% 2.16/0.74 fof(f46,plain,(
% 2.16/0.74 ~asoc(a,b,op_k(c,d))=unit),
% 2.16/0.74 inference(cnf_transformation,[status(thm)],[f23])).
% 2.16/0.74 fof(f58,plain,(
% 2.16/0.74 ![X0,X1]: (mult(mult(i(mult(X0,X1)),X0),X1)=mult(unit,asoc(i(mult(X0,X1)),X0,X1)))),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f27,f33])).
% 2.16/0.74 fof(f65,plain,(
% 2.16/0.74 ![X0,X1]: (mult(mult(i(mult(X0,X1)),X0),X1)=asoc(i(mult(X0,X1)),X0,X1))),
% 2.16/0.74 inference(forward_demodulation,[status(thm)],[f24,f58])).
% 2.16/0.74 fof(f273,plain,(
% 2.16/0.74 ![X0]: (rd(unit,X0)=i(X0))),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f27,f30])).
% 2.16/0.74 fof(f275,plain,(
% 2.16/0.74 ![X0]: (rd(unit,i(X0))=X0)),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f26,f30])).
% 2.16/0.74 fof(f279,plain,(
% 2.16/0.74 ![X0]: (i(i(X0))=X0)),
% 2.16/0.74 inference(forward_demodulation,[status(thm)],[f273,f275])).
% 2.16/0.74 fof(f296,plain,(
% 2.16/0.74 ![X0,X1]: (mult(X0,mult(i(X0),X1))=X1)),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f279,f29])).
% 2.16/0.74 fof(f299,plain,(
% 2.16/0.74 ![X0,X1]: (mult(i(mult(X0,X1)),mult(X1,X0))=op_k(X1,X0))),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f34,f29])).
% 2.16/0.74 fof(f366,plain,(
% 2.16/0.74 ![X0,X1]: (i(mult(i(X0),X1))=mult(X0,i(X1)))),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f279,f28])).
% 2.16/0.74 fof(f370,plain,(
% 2.16/0.74 ![X0,X1]: (mult(X0,i(mult(X0,X1)))=i(X1))),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f28,f296])).
% 2.16/0.74 fof(f1088,plain,(
% 2.16/0.74 ![X0,X1]: (mult(mult(i(X0),i(X1)),mult(X1,X0))=asoc(i(mult(i(X1),mult(X1,X0))),i(X1),mult(X1,X0)))),
% 2.16/0.74 inference(paramodulation,[status(thm)],[f29,f65])).
% 2.16/0.74 fof(f1136,plain,(
% 2.16/0.74 ![X0,X1]: (mult(i(mult(X0,X1)),mult(X1,X0))=asoc(i(mult(i(X1),mult(X1,X0))),i(X1),mult(X1,X0)))),
% 2.16/0.74 inference(forward_demodulation,[status(thm)],[f28,f1088])).
% 2.16/0.74 fof(f1137,plain,(
% 2.16/0.74 ![X0,X1]: (op_k(X0,X1)=asoc(i(mult(i(X0),mult(X0,X1))),i(X0),mult(X0,X1)))),
% 2.16/0.74 inference(forward_demodulation,[status(thm)],[f299,f1136])).
% 2.16/0.76 fof(f1138,plain,(
% 2.16/0.76 ![X0,X1]: (op_k(X0,X1)=asoc(mult(X0,i(mult(X0,X1))),i(X0),mult(X0,X1)))),
% 2.16/0.76 inference(forward_demodulation,[status(thm)],[f366,f1137])).
% 2.16/0.76 fof(f1139,plain,(
% 2.16/0.76 ![X0,X1]: (op_k(X0,X1)=asoc(i(X1),i(X0),mult(X0,X1)))),
% 2.16/0.76 inference(forward_demodulation,[status(thm)],[f370,f1138])).
% 2.16/0.76 fof(f3186,plain,(
% 2.16/0.76 ![X0,X1,X2,X3]: (asoc(X0,X1,op_k(X2,X3))=unit)),
% 2.16/0.76 inference(paramodulation,[status(thm)],[f1139,f45])).
% 2.16/0.76 fof(f3273,plain,(
% 2.16/0.76 ~unit=unit),
% 2.16/0.76 inference(backward_demodulation,[status(thm)],[f3186,f46])).
% 2.16/0.76 fof(f3312,plain,(
% 2.16/0.76 $false),
% 2.16/0.76 inference(trivial_equality_resolution,[status(thm)],[f3273])).
% 2.16/0.76 % SZS output end CNFRefutation for theBenchmark.p
% 2.16/0.80 % Elapsed time: 0.419147 seconds
% 2.16/0.80 % CPU time: 2.975721 seconds
% 2.16/0.80 % Total memory used: 74.062 MB
% 2.16/0.80 % Net memory used: 73.065 MB
%------------------------------------------------------------------------------