%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP686-1 : 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 : n006.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 12:37:10 PM UTC 2026
% Result : Unsatisfiable 5.69s 1.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP686-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:33:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 5.69/1.28 % Refutation found
% 5.69/1.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.69/1.28 % SZS output start CNFRefutation for theBenchmark
% 5.69/1.28 fof(f1,axiom,(
% 5.69/1.28 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f2,axiom,(
% 5.69/1.28 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f3,axiom,(
% 5.69/1.28 (![A,B]: (mult(rd(A,B),B) = A ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f4,axiom,(
% 5.69/1.28 (![A,B]: (rd(mult(A,B),B) = A ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f5,axiom,(
% 5.69/1.28 (![A]: (mult(A,unit) = A ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f6,axiom,(
% 5.69/1.28 (![A]: (mult(unit,A) = A ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f7,axiom,(
% 5.69/1.28 (![A,B,C]: (mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C) ))),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f8,negated_conjecture,(
% 5.69/1.28 mult(mult(a,a),mult(b,c)) != mult(mult(a,mult(a,b)),c) ),
% 5.69/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.28 fof(f9,plain,(
% 5.69/1.28 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f1])).
% 5.69/1.28 fof(f10,plain,(
% 5.69/1.28 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f2])).
% 5.69/1.28 fof(f11,plain,(
% 5.69/1.28 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f3])).
% 5.69/1.28 fof(f12,plain,(
% 5.69/1.28 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f4])).
% 5.69/1.28 fof(f13,plain,(
% 5.69/1.28 ![X0]: (mult(X0,unit)=X0)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f5])).
% 5.69/1.28 fof(f14,plain,(
% 5.69/1.28 ![X0]: (mult(unit,X0)=X0)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f6])).
% 5.69/1.28 fof(f15,plain,(
% 5.69/1.28 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(X0,mult(X1,X1)),X2))),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f7])).
% 5.69/1.28 fof(f16,plain,(
% 5.69/1.28 ~mult(mult(a,a),mult(b,c))=mult(mult(a,mult(a,b)),c)),
% 5.69/1.28 inference(cnf_transformation,[status(thm)],[f8])).
% 5.69/1.28 fof(f32,plain,(
% 5.69/1.28 ![X0]: (ld(X0,X0)=unit)),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f13,f10])).
% 5.69/1.28 fof(f40,plain,(
% 5.69/1.28 ![X0,X1]: (ld(rd(X0,X1),X0)=X1)),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f11,f10])).
% 5.69/1.28 fof(f45,plain,(
% 5.69/1.28 ![X0,X1]: (rd(X0,ld(X1,X0))=X1)),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f9,f12])).
% 5.69/1.28 fof(f62,plain,(
% 5.69/1.28 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,ld(mult(X0,mult(X1,X1)),X2))))=X2)),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f9,f15])).
% 5.69/1.28 fof(f65,plain,(
% 5.69/1.28 ![X0,X1,X2]: (mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X2)))=mult(X0,X2))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f11,f15])).
% 5.69/1.28 fof(f66,plain,(
% 5.69/1.28 ![X0,X1]: (mult(unit,mult(X0,mult(X0,X1)))=mult(mult(X0,X0),X1))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f14,f15])).
% 5.69/1.28 fof(f72,plain,(
% 5.69/1.28 ![X0,X1,X2]: (rd(mult(X0,mult(X1,mult(X1,X2))),X2)=mult(X0,mult(X1,X1)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f15,f12])).
% 5.69/1.28 fof(f75,plain,(
% 5.69/1.28 ~mult(a,mult(a,mult(b,c)))=mult(mult(a,mult(a,b)),c)),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f76,f16])).
% 5.69/1.28 fof(f76,plain,(
% 5.69/1.28 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(mult(X0,X0),X1))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f14,f66])).
% 5.69/1.28 fof(f84,plain,(
% 5.69/1.28 ![X0,X1]: (mult(X0,mult(X0,ld(mult(X0,X0),X1)))=X1)),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f9,f76])).
% 5.69/1.28 fof(f125,plain,(
% 5.69/1.28 ![X0,X1]: (ld(X0,X1)=mult(X0,ld(mult(X0,X0),X1)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f84,f10])).
% 5.69/1.28 fof(f224,plain,(
% 5.69/1.28 ![X0,X1]: (ld(X0,ld(X0,X1))=ld(mult(X0,X0),X1))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f125,f10])).
% 5.69/1.28 fof(f269,plain,(
% 5.69/1.28 ![X0,X1,X2]: (mult(X0,mult(X0,mult(X1,mult(X1,ld(mult(mult(X0,X0),mult(X1,X1)),X2)))))=X2)),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f76,f62])).
% 5.69/1.28 fof(f294,plain,(
% 5.69/1.28 ![X0,X1,X2]: (ld(X0,X1)=mult(X2,mult(X2,ld(mult(X0,mult(X2,X2)),X1))))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f62,f10])).
% 5.69/1.28 fof(f296,plain,(
% 5.69/1.28 ![X0,X1,X2]: (mult(X0,mult(X0,mult(X1,mult(X1,ld(mult(X0,mult(X0,mult(X1,X1))),X2)))))=X2)),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f76,f269])).
% 5.69/1.28 fof(f423,plain,(
% 5.69/1.28 ![X0,X1,X2]: (ld(rd(X0,mult(X1,X1)),mult(X0,X2))=mult(X1,mult(X1,X2)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f65,f10])).
% 5.69/1.28 fof(f892,plain,(
% 5.69/1.28 ![X0,X1,X2]: (ld(mult(X0,X0),X1)=mult(X2,mult(X2,ld(mult(X0,mult(X0,mult(X2,X2))),X1))))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f76,f294])).
% 5.69/1.28 fof(f893,plain,(
% 5.69/1.28 ![X0,X1,X2]: (ld(rd(X0,mult(X1,X1)),X2)=mult(X1,mult(X1,ld(X0,X2))))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f11,f294])).
% 5.69/1.28 fof(f936,plain,(
% 5.69/1.28 ![X0,X1]: (mult(X0,mult(X0,ld(X0,ld(X0,X1))))=X1)),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f937,f296])).
% 5.69/1.28 fof(f937,plain,(
% 5.69/1.28 ![X0,X1,X2]: (ld(X0,ld(X0,X1))=mult(X2,mult(X2,ld(mult(X0,mult(X0,mult(X2,X2))),X1))))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f224,f892])).
% 5.69/1.28 fof(f985,plain,(
% 5.69/1.28 ![X0,X1]: (ld(rd(X0,mult(X0,X0)),ld(X0,X1))=X1)),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f893,f936])).
% 5.69/1.28 fof(f998,plain,(
% 5.69/1.28 ![X0,X1]: (ld(rd(X0,mult(X0,X0)),X1)=mult(X0,X1))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f10,f985])).
% 5.69/1.28 fof(f1002,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,X1),X1)=rd(X0,mult(X0,X0)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f985,f45])).
% 5.69/1.28 fof(f1003,plain,(
% 5.69/1.28 ![X0,X1]: (mult(rd(X0,mult(X0,X0)),X1)=ld(X0,X1))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f985,f9])).
% 5.69/1.28 fof(f1022,plain,(
% 5.69/1.28 ![X0]: (unit=mult(X0,rd(X0,mult(X0,X0))))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f32,f998])).
% 5.69/1.28 fof(f1035,plain,(
% 5.69/1.28 ![X0,X1]: (rd(X0,mult(X1,X0))=rd(X1,mult(X1,X1)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f998,f45])).
% 5.69/1.28 fof(f1315,plain,(
% 5.69/1.28 ![X0,X1]: (rd(mult(X0,mult(X1,unit)),rd(X1,mult(X1,X1)))=mult(X0,mult(X1,X1)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f1022,f72])).
% 5.69/1.28 fof(f1319,plain,(
% 5.69/1.28 ![X0]: (ld(X0,unit)=rd(X0,mult(X0,X0)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f1022,f10])).
% 5.69/1.28 fof(f1336,plain,(
% 5.69/1.28 ![X0,X1]: (rd(mult(X0,X1),rd(X1,mult(X1,X1)))=mult(X0,mult(X1,X1)))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f13,f1315])).
% 5.69/1.28 fof(f1339,plain,(
% 5.69/1.28 ![X0,X1]: (ld(ld(X0,unit),X1)=mult(X0,X1))),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f1319,f998])).
% 5.69/1.28 fof(f1343,plain,(
% 5.69/1.28 ![X0,X1]: (rd(mult(X0,X1),ld(X1,unit))=mult(X0,mult(X1,X1)))),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f1319,f1336])).
% 5.69/1.28 fof(f1344,plain,(
% 5.69/1.28 ![X0,X1]: (rd(X0,mult(X1,X0))=ld(X1,unit))),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f1319,f1035])).
% 5.69/1.28 fof(f1349,plain,(
% 5.69/1.28 ![X0,X1]: (mult(ld(X0,unit),X1)=ld(X0,X1))),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f1319,f1003])).
% 5.69/1.28 fof(f1350,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,X1),X1)=ld(X0,unit))),
% 5.69/1.28 inference(backward_demodulation,[status(thm)],[f1319,f1002])).
% 5.69/1.28 fof(f1391,plain,(
% 5.69/1.28 ![X0,X1]: (rd(X0,X1)=ld(rd(X1,X0),unit))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f11,f1344])).
% 5.69/1.28 fof(f1939,plain,(
% 5.69/1.28 ![X0,X1,X2]: (mult(rd(X0,X1),X2)=ld(rd(X1,X0),X2))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f1391,f1349])).
% 5.69/1.28 fof(f2317,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,X1),ld(X1,unit))=mult(ld(X0,unit),mult(X1,X1)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f1349,f1343])).
% 5.69/1.28 fof(f2342,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,X1),ld(X1,unit))=ld(X0,mult(X1,X1)))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f1349,f2317])).
% 5.69/1.28 fof(f3178,plain,(
% 5.69/1.28 ![X0,X1]: (rd(X0,ld(X1,unit))=ld(rd(X1,X0),mult(X1,X1)))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f40,f2342])).
% 5.69/1.28 fof(f3183,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,ld(X1,unit)),mult(X1,unit))=ld(X0,mult(ld(X1,unit),ld(X1,unit))))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f1339,f2342])).
% 5.69/1.28 fof(f3215,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,ld(X1,unit)),X1)=ld(X0,mult(ld(X1,unit),ld(X1,unit))))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f13,f3183])).
% 5.69/1.28 fof(f3216,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,ld(X1,unit)),X1)=ld(X0,ld(X1,ld(X1,unit))))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f1349,f3215])).
% 5.69/1.28 fof(f3463,plain,(
% 5.69/1.28 ![X0,X1]: (rd(rd(X0,ld(X1,unit)),mult(X1,X1))=ld(rd(X1,X0),unit))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f3178,f1350])).
% 5.69/1.28 fof(f3528,plain,(
% 5.69/1.28 ![X0,X1]: (rd(rd(X0,ld(X1,unit)),mult(X1,X1))=rd(X0,X1))),
% 5.69/1.28 inference(forward_demodulation,[status(thm)],[f1391,f3463])).
% 5.69/1.28 fof(f3973,plain,(
% 5.69/1.28 ![X0,X1]: (rd(ld(X0,unit),mult(X1,X1))=rd(ld(X0,ld(X1,unit)),X1))),
% 5.69/1.28 inference(paramodulation,[status(thm)],[f1350,f3528])).
% 5.69/1.32 fof(f4023,plain,(
% 5.69/1.32 ![X0,X1]: (rd(ld(X0,unit),mult(X1,X1))=ld(X0,ld(X1,ld(X1,unit))))),
% 5.69/1.32 inference(forward_demodulation,[status(thm)],[f3216,f3973])).
% 5.69/1.32 fof(f4215,plain,(
% 5.69/1.32 ![X0,X1]: (rd(mult(X0,X0),ld(X1,unit))=mult(X0,mult(X0,X1)))),
% 5.69/1.32 inference(paramodulation,[status(thm)],[f3178,f423])).
% 5.69/1.32 fof(f4953,plain,(
% 5.69/1.32 ![X0,X1,X2]: (mult(mult(X0,mult(X0,X1)),X2)=ld(rd(ld(X1,unit),mult(X0,X0)),X2))),
% 5.69/1.32 inference(paramodulation,[status(thm)],[f4215,f1939])).
% 5.69/1.32 fof(f5053,plain,(
% 5.69/1.32 ![X0,X1,X2]: (mult(mult(X0,mult(X0,X1)),X2)=ld(ld(X1,ld(X0,ld(X0,unit))),X2))),
% 5.69/1.32 inference(forward_demodulation,[status(thm)],[f4023,f4953])).
% 5.69/1.32 fof(f10175,plain,(
% 5.69/1.32 ![X0,X1,X2]: (ld(rd(ld(X0,unit),mult(X1,X1)),X2)=mult(X1,mult(X1,mult(X0,X2))))),
% 5.69/1.32 inference(paramodulation,[status(thm)],[f1339,f893])).
% 5.69/1.32 fof(f10360,plain,(
% 5.69/1.32 ![X0,X1,X2]: (mult(mult(X0,mult(X0,X1)),X2)=mult(X0,mult(X0,mult(X1,X2))))),
% 5.69/1.32 inference(backward_demodulation,[status(thm)],[f10361,f5053])).
% 5.69/1.32 fof(f10361,plain,(
% 5.69/1.32 ![X0,X1,X2]: (ld(ld(X0,ld(X1,ld(X1,unit))),X2)=mult(X1,mult(X1,mult(X0,X2))))),
% 5.69/1.32 inference(forward_demodulation,[status(thm)],[f4023,f10175])).
% 5.69/1.32 fof(f10460,plain,(
% 5.69/1.32 ~mult(a,mult(a,mult(b,c)))=mult(a,mult(a,mult(b,c)))),
% 5.69/1.32 inference(backward_demodulation,[status(thm)],[f10360,f75])).
% 5.69/1.32 fof(f10491,plain,(
% 5.69/1.32 $false),
% 5.69/1.32 inference(trivial_equality_resolution,[status(thm)],[f10460])).
% 5.69/1.32 % SZS output end CNFRefutation for theBenchmark.p
% 11.05/25.72 % Elapsed time: 25.356216 seconds
% 11.05/25.72 % CPU time: 195.017937 seconds
% 11.05/25.72 % Total memory used: 120.309 GB
% 11.05/25.72 % Net memory used: 120.308 GB
%------------------------------------------------------------------------------