%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP073-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:32:27 PM UTC 2026
% Result : Unsatisfiable 232.75s 29.88s
% Output : CNFRefutation 234.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 6
% Syntax : Number of formulae : 122 ( 109 unt; 3 def)
% Number of atoms : 138 ( 118 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 393 ( 393 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : divide(inverse(divide(divide(divide(X,Y),Z),divide(U,Z))),divide(Y,X)) = U,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( 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,X3] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,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(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
( sQ0_spl
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f9,plain,
( sQ0_spl
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,definition,
( sQ1_spl
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f12,plain,
( sQ1_spl
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,definition,
( sQ2_spl
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f15,plain,
( sQ2_spl
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[status(thm)],[f5,f17]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),X5),divide(X0,X5)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f18]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4),divide(X5,X4))),X3) = X5,
inference(forward_demodulation,[status(thm)],[f5,f22]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),inverse(divide(divide(X3,X4),divide(X5,X4)))),X6),multiply(X7,X6))),X5) = X7,
inference(paramodulation,[status(thm)],[f25,f24]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(multiply(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),divide(divide(X3,X4),divide(X5,X4))),X6),multiply(X7,X6))),X5) = X7,
inference(forward_demodulation,[status(thm)],[f5,f91]) ).
fof(f259,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),X3))),
inference(paramodulation,[status(thm)],[f4,f20]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = divide(inverse(divide(divide(divide(X5,X6),divide(X2,X3)),X4)),divide(X6,X5)),
inference(paramodulation,[status(thm)],[f20,f20]) ).
fof(f338,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)),divide(X2,X3)) = X4,
inference(paramodulation,[status(thm)],[f20,f4]) ).
fof(f546,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),inverse(X3)))),
inference(paramodulation,[status(thm)],[f5,f259]) ).
fof(f582,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X0,divide(X5,X4)),
inference(paramodulation,[status(thm)],[f259,f25]) ).
fof(f592,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),X3),multiply(divide(X0,divide(X2,X1)),X3))),
inference(forward_demodulation,[status(thm)],[f5,f546]) ).
fof(f648,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(inverse(X1),X2),X3),multiply(divide(X0,multiply(X2,X1)),X3))),
inference(paramodulation,[status(thm)],[f5,f592]) ).
fof(f842,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X3,X4),X5),divide(X0,X5))),divide(X4,X3)),X6),multiply(X2,X6))),
inference(paramodulation,[status(thm)],[f25,f648]) ).
fof(f859,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f4,f842]) ).
fof(f982,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(paramodulation,[status(thm)],[f859,f859]) ).
fof(f3531,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),divide(divide(inverse(divide(divide(divide(X4,X5),divide(X6,X7)),X2)),divide(X5,X4)),divide(X6,X7))) = X3,
inference(paramodulation,[status(thm)],[f338,f338]) ).
fof(f3698,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f338,f3531]) ).
fof(f3769,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(divide(divide(X0,X1),inverse(X2)),X3)),divide(X1,X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f3698]) ).
fof(f3779,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f3698]) ).
fof(f3912,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f5,f3769]) ).
fof(f5733,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(multiply(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f3912]) ).
fof(f5766,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f3912]) ).
fof(f5929,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),X0)))),X4) = inverse(X1),
inference(paramodulation,[status(thm)],[f3698,f3779]) ).
fof(f5997,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(inverse(X0),X1)),divide(divide(X2,X3),inverse(multiply(divide(divide(X3,X2),X4),X0)))),X4) = X1,
inference(paramodulation,[status(thm)],[f3779,f3698]) ).
fof(f6102,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(multiply(X0,X1)),multiply(divide(X2,X3),divide(divide(divide(X3,X2),X4),X0))),X4) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f5,f5929]) ).
fof(f6159,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X0))),X4) = X1,
inference(forward_demodulation,[status(thm)],[f5,f5997]) ).
fof(f7277,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(divide(inverse(X1),multiply(divide(X0,multiply(divide(X2,X3),multiply(multiply(divide(X3,X2),X4),X1))),X4))),
inference(paramodulation,[status(thm)],[f5733,f648]) ).
fof(f7515,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(multiply(inverse(X0),X1),X2),X3)),multiply(inverse(X1),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f5766]) ).
fof(f51549,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(divide(inverse(divide(multiply(multiply(inverse(X0),X1),X2),divide(X3,X4))),multiply(inverse(X1),X0)),X2) = multiply(divide(X5,X6),divide(divide(divide(X6,X5),X7),divide(divide(X4,X3),X7))),
inference(paramodulation,[status(thm)],[f582,f7515]) ).
fof(f52321,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(divide(X2,X3),divide(divide(divide(X3,X2),X4),divide(divide(X1,X0),X4))),
inference(forward_demodulation,[status(thm)],[f7515,f51549]) ).
fof(f52653,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),X4),divide(divide(X1,X0),X4))),
inference(paramodulation,[status(thm)],[f5,f52321]) ).
fof(f56094,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(inverse(divide(divide(X0,X1),multiply(X2,divide(divide(divide(inverse(divide(divide(X3,X4),divide(X5,X4))),multiply(divide(X6,X7),divide(divide(divide(X7,X6),X8),divide(X3,X8)))),X9),divide(divide(X1,X0),X9))))),X5) = X2,
inference(paramodulation,[status(thm)],[f52653,f108]) ).
fof(f56319,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(X0,X1),multiply(X2,divide(divide(X3,X4),divide(divide(X1,X0),X4))))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f25,f56094]) ).
fof(f59453,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X2,X3)) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f52321,f56319]) ).
fof(f60498,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(X0,divide(divide(inverse(divide(inverse(X1),X0)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X1))),X4))),divide(X5,X6)) = divide(X6,X5),
inference(paramodulation,[status(thm)],[f6159,f59453]) ).
fof(f61125,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f6159,f60498]) ).
fof(f61677,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(divide(X2,X1),inverse(divide(X3,X3))),
inference(paramodulation,[status(thm)],[f61125,f61125]) ).
fof(f61678,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),multiply(X1,X2)) = divide(inverse(X2),X1),
inference(paramodulation,[status(thm)],[f5,f61125]) ).
fof(f62161,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,X1),inverse(divide(X2,X2))),
inference(forward_demodulation,[status(thm)],[f61125,f61677]) ).
fof(f62162,plain,
! [X0,X1,X2] : divide(X0,X1) = multiply(divide(X0,X1),divide(X2,X2)),
inference(forward_demodulation,[status(thm)],[f5,f62161]) ).
fof(f62390,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),divide(X2,X2)),X3)),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f3912,f62162]) ).
fof(f62407,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X0))),X4) = multiply(X1,divide(X5,X5)),
inference(paramodulation,[status(thm)],[f6159,f62162]) ).
fof(f62518,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(inverse(X1),X2),multiply(divide(X0,multiply(X2,X1)),divide(X3,X3)))),
inference(paramodulation,[status(thm)],[f62162,f648]) ).
fof(f62715,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f62162,f62390]) ).
fof(f62723,plain,
! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f6159,f62407]) ).
fof(f62798,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(inverse(X1),X2),divide(X0,multiply(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f62162,f62518]) ).
fof(f62904,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(multiply(X0,X1),divide(X2,X2)),X3)),divide(inverse(X1),X0)) = X3,
inference(paramodulation,[status(thm)],[f5766,f62723]) ).
fof(f62918,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f5,f62723]) ).
fof(f63189,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(multiply(X0,divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f62723,f982]) ).
fof(f63200,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f62723,f859]) ).
fof(f63221,plain,
! [X0,X1,X2] : divide(inverse(divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f62723,f62904]) ).
fof(f63349,plain,
! [X0,X1,X2] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f62723,f63189]) ).
fof(f63360,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f62723,f63200]) ).
fof(f154095,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(X0,X0)) = inverse(divide(inverse(X1),multiply(divide(inverse(multiply(multiply(divide(X2,X3),X4),X1)),divide(X3,X2)),X4))),
inference(paramodulation,[status(thm)],[f61678,f7277]) ).
fof(f154740,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(inverse(X1),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f5733,f154095]) ).
fof(f154741,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f5,f154740]) ).
fof(f160395,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f62723,f154741]) ).
fof(f161253,plain,
! [X0,X1] : inverse(inverse(divide(X0,X0))) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f160395,f160395]) ).
fof(f161254,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f154741,f160395]) ).
fof(f193158,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4)),X3) = X4,
inference(backward_demodulation,[status(thm)],[f63360,f27]) ).
fof(f193270,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(inverse(X0),X1),divide(X2,multiply(X1,X0)))) = inverse(divide(inverse(divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f61678,f63360]) ).
fof(f193417,plain,
! [X0,X1] : X0 = inverse(divide(inverse(divide(X1,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f62798,f193270]) ).
fof(f193477,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f63221,f193417]) ).
fof(f193479,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = inverse(divide(inverse(divide(divide(divide(X2,X3),divide(X4,X5)),divide(divide(X1,X0),divide(X4,X5)))),divide(X3,X2))),
inference(paramodulation,[status(thm)],[f295,f193417]) ).
fof(f193618,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = inverse(divide(inverse(divide(divide(X2,X3),divide(X1,X0))),divide(X3,X2))),
inference(forward_demodulation,[status(thm)],[f63360,f193479]) ).
fof(f193619,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f62715,f193618]) ).
fof(f193676,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(X2,X1)) = inverse(divide(X2,X0)),
inference(backward_demodulation,[status(thm)],[f193619,f63349]) ).
fof(f193705,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(divide(X1,X1)),
inference(backward_demodulation,[status(thm)],[f193619,f161254]) ).
fof(f193706,plain,
! [X0,X1] : inverse(inverse(divide(X0,X0))) = inverse(divide(X1,X1)),
inference(backward_demodulation,[status(thm)],[f193619,f161253]) ).
fof(f193768,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[status(thm)],[f193619,f193676]) ).
fof(f193771,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f193619,f193705]) ).
fof(f193772,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f193619,f193706]) ).
fof(f193773,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f193619,f193772]) ).
fof(f193774,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f193619,f193773]) ).
fof(f193791,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f193774]) ).
fof(f194057,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(X4,X3)))),X4) = X0,
inference(forward_demodulation,[status(thm)],[f193619,f193158]) ).
fof(f194059,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(divide(X1,X1),X0)),
inference(paramodulation,[status(thm)],[f6102,f194057]) ).
fof(f194457,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f5,f193791]) ).
fof(f194898,plain,
! [X0,X1,X2] : divide(divide(X0,X0),X1) = inverse(multiply(X1,multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f193771,f193477]) ).
fof(f194910,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),X1)) = divide(X0,divide(X2,X2)),
inference(paramodulation,[status(thm)],[f193771,f5]) ).
fof(f194991,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f62918,f194898]) ).
fof(f195015,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f62918,f194910]) ).
fof(f195102,plain,
! [X0,X1] : X0 = divide(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f5,f195015]) ).
fof(f195226,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f194991,f193619]) ).
fof(f195302,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f195015,f195226]) ).
fof(f195354,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f195302,f5]) ).
fof(f196910,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f194059,f195302]) ).
fof(f196968,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f195302,f196910]) ).
fof(f196990,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f195102,f196968]) ).
fof(f202311,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X1) = divide(X0,multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f196990,f193768]) ).
fof(f202441,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f195102,f202311]) ).
fof(f202519,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f5,f202441]) ).
fof(f202639,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f195354,f202519]) ).
fof(f202664,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f193477,f202639]) ).
fof(f204496,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),inverse(X2)) = divide(X0,inverse(multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f202664,f193768]) ).
fof(f204578,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,inverse(multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f5,f204496]) ).
fof(f204579,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f204578]) ).
fof(f210808,plain,
( sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f15,f204579]) ).
fof(f210881,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f210808]) ).
fof(f210917,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9,f194457]) ).
fof(f210918,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f210917]) ).
fof(f210919,plain,
( sQ1_spl
| a2 != a2 ),
inference(forward_demodulation,[status(thm)],[f196990,f12]) ).
fof(f210920,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f210919]) ).
fof(f210921,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f210920]) ).
fof(f210922,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f210881,f210918,f210921]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP073-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 19:58:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 232.75/29.88 % Refutation found
% 232.75/29.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 232.75/29.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 73.66/30.16 % Elapsed time: 29.786948 seconds
% 73.66/30.16 % CPU time: 235.778794 seconds
% 73.66/30.16 % Total memory used: 1.108 GB
% 73.66/30.16 % Net memory used: 1.083 GB
%------------------------------------------------------------------------------