%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP111-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:32:32 PM UTC 2026
% Result : Unsatisfiable 7.53s 1.42s
% Output : CNFRefutation 7.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of formulae : 95 ( 89 unt; 0 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 19 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 303 ( 303 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(inverse(double_divide(inverse(double_divide(X,inverse(Y))),Z)),double_divide(X,Z)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),multiply(multiply(X2,X3),multiply(X1,multiply(inverse(X4),X0)))),X4) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X3),X0))) = inverse(double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f9,f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X3),X0))) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f5,f15]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(double_divide(X2,X3),multiply(inverse(X4),multiply(X3,multiply(multiply(X1,X0),X2))))) = inverse(X4),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(double_divide(X4,X5),multiply(inverse(X0),multiply(X5,multiply(inverse(X2),X4)))))))),X3) = X1,
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(double_divide(X3,X4),multiply(inverse(X5),multiply(X4,multiply(multiply(X1,X0),X3)))))),X5) = X2,
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f272,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f279,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
inference(paramodulation,[status(thm)],[f18,f10]) ).
fof(f305,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f272]) ).
fof(f307,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f279]) ).
fof(f321,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f307]) ).
fof(f334,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(X2),multiply(inverse(X0),inverse(X1))))) = inverse(X2),
inference(paramodulation,[status(thm)],[f307,f11]) ).
fof(f359,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f305,f8]) ).
fof(f383,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f359]) ).
fof(f822,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f321,f383]) ).
fof(f952,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(double_divide(multiply(double_divide(X3,X4),multiply(inverse(X5),multiply(X4,multiply(inverse(multiply(X1,X0)),X3)))),X6),multiply(inverse(X7),multiply(X6,inverse(X5)))))),X7) = X2,
inference(paramodulation,[status(thm)],[f18,f79]) ).
fof(f1043,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X0),multiply(multiply(X1,X2),multiply(X3,inverse(X3))))) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f822,f16]) ).
fof(f1047,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f822,f5]) ).
fof(f1063,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(X2))) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f1047]) ).
fof(f1109,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),multiply(X1,X2))) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f1116,f1043]) ).
fof(f1116,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(X2))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f5,f1063]) ).
fof(f1142,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f1047,f1109]) ).
fof(f1144,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(inverse(inverse(X0)),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f1109,f1109]) ).
fof(f1145,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(X1),inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f305,f1109]) ).
fof(f1146,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(X1)) = multiply(double_divide(X2,X3),multiply(inverse(X1),multiply(X3,multiply(inverse(inverse(X0)),X2)))),
inference(paramodulation,[status(thm)],[f18,f1109]) ).
fof(f1162,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X2,multiply(multiply(X1,X0),X3))) = inverse(double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f1109,f17]) ).
fof(f1166,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),X1) = double_divide(X2,X0),
inference(paramodulation,[status(thm)],[f1109,f10]) ).
fof(f1168,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(double_divide(X2,inverse(inverse(X3))),multiply(multiply(X1,X0),X2))) = inverse(X3),
inference(paramodulation,[status(thm)],[f1109,f17]) ).
fof(f1170,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,multiply(inverse(X1),multiply(double_divide(X2,X3),multiply(inverse(X0),multiply(X3,multiply(inverse(inverse(inverse(X4))),X2)))))),X1) = X4,
inference(paramodulation,[status(thm)],[f1109,f78]) ).
fof(f1184,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(multiply(inverse(inverse(X3)),multiply(X1,X2)),X0)) = X3,
inference(paramodulation,[status(thm)],[f1109,f8]) ).
fof(f1194,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(multiply(inverse(multiply(X3,X4)),multiply(X1,X2)),X0)) = double_divide(X4,X3),
inference(paramodulation,[status(thm)],[f1109,f9]) ).
fof(f1283,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X2,multiply(multiply(X1,X0),X3))) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f5,f1162]) ).
fof(f1298,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(inverse(X1))),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1283,f1168]) ).
fof(f1300,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(inverse(inverse(X3))),X0)))),X2) = X3,
inference(forward_demodulation,[status(thm)],[f1166,f1170]) ).
fof(f1301,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(inverse(inverse(X1))),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1166,f1300]) ).
fof(f1303,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f1322,f1298]) ).
fof(f1305,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(X1)) = multiply(double_divide(X2,X3),multiply(inverse(X1),multiply(X3,multiply(X0,X2)))),
inference(backward_demodulation,[status(thm)],[f1322,f1146]) ).
fof(f1306,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f1322,f1145]) ).
fof(f1322,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f1301]) ).
fof(f1336,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(multiply(X3,multiply(X1,X2)),X0)) = X3,
inference(forward_demodulation,[status(thm)],[f1144,f1184]) ).
fof(f1353,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(double_divide(multiply(double_divide(X3,X4),multiply(inverse(X5),multiply(X4,multiply(double_divide(X0,X1),X3)))),X6),multiply(inverse(X7),multiply(X6,inverse(X5)))))),X7) = X2,
inference(backward_demodulation,[status(thm)],[f1385,f952]) ).
fof(f1385,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1336,f1194]) ).
fof(f1464,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(double_divide(multiply(double_divide(X0,X1),inverse(X3)),X4),multiply(inverse(X5),multiply(X4,inverse(X3)))))),X5) = X2,
inference(forward_demodulation,[status(thm)],[f1305,f1353]) ).
fof(f1527,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f1322,f1047]) ).
fof(f1539,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1322,f305]) ).
fof(f1623,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f1322,f1142]) ).
fof(f1733,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f1322,f1306]) ).
fof(f1755,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f1756]) ).
fof(f1756,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1322,f1733]) ).
fof(f1768,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f1303,f1756]) ).
fof(f1783,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),multiply(multiply(X2,X3),multiply(X1,multiply(inverse(X4),X0)))),X4) = double_divide(X2,X3),
inference(paramodulation,[status(thm)],[f1756,f13]) ).
fof(f1803,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f13,f1783]) ).
fof(f1820,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1803,f1303]) ).
fof(f1838,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1803,f1768]) ).
fof(f1910,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f1623,f1623]) ).
fof(f1933,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1755,f1910]) ).
fof(f2023,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1322,f1527]) ).
fof(f2051,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1322,f2023]) ).
fof(f2064,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a2,multiply(inverse(b2),b2)) != a2 ),
inference(paramodulation,[status(thm)],[f1756,f1933]) ).
fof(f2071,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(forward_demodulation,[status(thm)],[f2051,f2064]) ).
fof(f2072,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_equality_resolution,[status(thm)],[f2071]) ).
fof(f2659,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f1322,f1539]) ).
fof(f2670,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1322,f2659]) ).
fof(f2681,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f1820,f2670]) ).
fof(f2720,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(X2),double_divide(X1,X0)))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f2681,f334]) ).
fof(f3317,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f1322,f2681]) ).
fof(f3319,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f1322,f2681]) ).
fof(f3392,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(double_divide(double_divide(X3,inverse(double_divide(X0,X1))),X4),multiply(inverse(X5),multiply(X4,inverse(X3)))))),X5) = X2,
inference(backward_demodulation,[status(thm)],[f3317,f1464]) ).
fof(f3448,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(inverse(double_divide(X1,X0)),X2))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f3319,f2720]) ).
fof(f3694,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),double_divide(inverse(multiply(double_divide(double_divide(X2,inverse(double_divide(X0,X1))),X3),multiply(inverse(X4),multiply(X3,inverse(X2))))),X5)),X4) = X5,
inference(forward_demodulation,[status(thm)],[f3319,f3392]) ).
fof(f3695,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),double_divide(double_divide(multiply(inverse(X2),multiply(X3,inverse(X4))),double_divide(double_divide(X4,inverse(double_divide(X0,X1))),X3)),X5)),X2) = X5,
inference(forward_demodulation,[status(thm)],[f1385,f3694]) ).
fof(f3696,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),double_divide(double_divide(double_divide(inverse(multiply(X2,inverse(X3))),X4),double_divide(double_divide(X3,inverse(double_divide(X0,X1))),X2)),X5)),X4) = X5,
inference(forward_demodulation,[status(thm)],[f3319,f3695]) ).
fof(f3697,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),double_divide(double_divide(double_divide(double_divide(inverse(X2),X3),X4),double_divide(double_divide(X2,inverse(double_divide(X0,X1))),X3)),X5)),X4) = X5,
inference(forward_demodulation,[status(thm)],[f1385,f3696]) ).
fof(f3698,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),double_divide(double_divide(double_divide(double_divide(inverse(X2),X3),X4),double_divide(double_divide(X2,multiply(X1,X0)),X3)),X5)),X4) = X5,
inference(forward_demodulation,[status(thm)],[f5,f3697]) ).
fof(f3789,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(multiply(X0,X1),X2))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f5,f3448]) ).
fof(f5260,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(double_divide(X0,X1),double_divide(double_divide(double_divide(double_divide(inverse(X2),X3),X4),double_divide(double_divide(X2,multiply(X1,X0)),X3)),X5))) = multiply(X4,X5),
inference(paramodulation,[status(thm)],[f3698,f1838]) ).
fof(f5316,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(double_divide(double_divide(double_divide(inverse(X0),X1),X2),double_divide(double_divide(X0,multiply(X3,X4)),X1)),X5),double_divide(X4,X3)) = multiply(X2,X5),
inference(forward_demodulation,[status(thm)],[f1385,f5260]) ).
fof(f5349,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f1803,f3789]) ).
fof(f5511,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(X1,X2)) = inverse(multiply(double_divide(X3,X4),double_divide(double_divide(double_divide(double_divide(inverse(X5),X6),multiply(X0,X1)),double_divide(double_divide(X5,multiply(X4,X3)),X6)),X2))),
inference(paramodulation,[status(thm)],[f3698,f5349]) ).
fof(f5568,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(double_divide(double_divide(double_divide(inverse(X3),X4),multiply(X0,X1)),double_divide(double_divide(X3,multiply(X5,X6)),X4)),X2),double_divide(X6,X5)),
inference(forward_demodulation,[status(thm)],[f1385,f5511]) ).
fof(f5573,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f5793,f2072]) ).
fof(f5793,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f5316,f5568]) ).
fof(f5878,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f5573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP111-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 19:57:35 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 7.53/1.42 % Refutation found
% 7.53/1.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.53/1.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.54/1.47 % Elapsed time: 1.108188 seconds
% 3.54/1.47 % CPU time: 8.440611 seconds
% 3.54/1.47 % Total memory used: 205.459 MB
% 3.54/1.47 % Net memory used: 198.762 MB
%------------------------------------------------------------------------------