%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP083-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -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 12:32:28 PM UTC 2026
% Result : Unsatisfiable 48.44s 6.59s
% Output : CNFRefutation 46.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 6
% Syntax : Number of formulae : 96 ( 80 unt; 3 def)
% Number of atoms : 115 ( 92 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 10 ( 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 : 319 ( 319 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : double_divide(double_divide(X,inverse(double_divide(Y,Z))),double_divide(inverse(Y),inverse(double_divide(U,double_divide(X,U))))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
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(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] : double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X0,X3))))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,multiply(X1,double_divide(X2,X3))),double_divide(multiply(X3,X2),multiply(double_divide(X0,X4),X4))) = X1,
inference(paramodulation,[status(thm)],[f5,f18]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,X4)),double_divide(inverse(X4),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X5),X5))))) = X3,
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(X3,X0))) = inverse(X3),
inference(paramodulation,[status(thm)],[f18,f5]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(X4,double_divide(X1,X0)))) = inverse(X4),
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(inverse(double_divide(X0,multiply(X1,X2))),multiply(double_divide(X3,X4),X4)),double_divide(X3,inverse(X1))) = inverse(double_divide(inverse(X2),multiply(double_divide(X0,X5),X5))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(multiply(X0,X1),X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,inverse(X0))) = inverse(double_divide(inverse(X1),multiply(double_divide(X2,X5),X5))),
inference(forward_demodulation,[status(thm)],[f5,f24]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(multiply(X0,X1),X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,inverse(X0))) = multiply(multiply(double_divide(X2,X5),X5),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f26]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,double_divide(X4,X5))),double_divide(multiply(X5,X4),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X6),X6))))) = X3,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : double_divide(double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,X4)),multiply(X5,double_divide(X6,X7))),double_divide(multiply(X7,X6),multiply(X3,double_divide(inverse(X4),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X8),X8))))))) = X5,
inference(paramodulation,[status(thm)],[f20,f19]) ).
fof(f86,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,X1),X1),inverse(X2)) = multiply(multiply(double_divide(X0,X3),X3),inverse(X2)),
inference(paramodulation,[status(thm)],[f27,f27]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(multiply(double_divide(X3,X4),X4),inverse(X5))),double_divide(inverse(inverse(X5)),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X6),X6))))) = multiply(double_divide(X3,X7),X7),
inference(paramodulation,[status(thm)],[f86,f20]) ).
fof(f163,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f20,f145]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,double_divide(inverse(X1),multiply(double_divide(X2,X3),X3))) = multiply(double_divide(double_divide(X2,multiply(X0,X1)),X4),X4),
inference(paramodulation,[status(thm)],[f18,f163]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(double_divide(X4,X5),X5))) = inverse(double_divide(X4,double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f163,f22]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(double_divide(X3,X4),X4))) = inverse(double_divide(X3,X0)),
inference(paramodulation,[status(thm)],[f163,f21]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(double_divide(X4,X5),X5))) = multiply(double_divide(X1,X0),X4),
inference(forward_demodulation,[status(thm)],[f5,f190]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(double_divide(X3,X4),X4))) = multiply(X0,X3),
inference(forward_demodulation,[status(thm)],[f5,f197]) ).
fof(f318,plain,
! [X0,X1,X2,X3,X4] : inverse(double_divide(X0,X1)) = multiply(double_divide(double_divide(X0,multiply(double_divide(inverse(X1),multiply(double_divide(inverse(X2),X3),X3)),X2)),X4),X4),
inference(paramodulation,[status(thm)],[f21,f174]) ).
fof(f409,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,X1) = multiply(double_divide(double_divide(X1,multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X2),X3),X3)),X2)),X4),X4),
inference(forward_demodulation,[status(thm)],[f5,f318]) ).
fof(f4124,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(multiply(double_divide(X0,X1),X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(double_divide(X4,X5),X5))) = multiply(double_divide(X6,double_divide(X0,X6)),X4),
inference(paramodulation,[status(thm)],[f163,f218]) ).
fof(f4253,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(X3,double_divide(X1,X3)),X2),
inference(forward_demodulation,[status(thm)],[f218,f4124]) ).
fof(f4292,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X0)),
inference(paramodulation,[status(thm)],[f163,f4253]) ).
fof(f4420,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(double_divide(X3,double_divide(X4,X3)),double_divide(X5,X6))),double_divide(multiply(X6,X5),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X7),X7))))) = double_divide(X8,double_divide(X4,X8)),
inference(paramodulation,[status(thm)],[f4253,f34]) ).
fof(f4543,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f34,f4420]) ).
fof(f4609,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X3,double_divide(X1,X3)),
inference(paramodulation,[status(thm)],[f4543,f4543]) ).
fof(f5794,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(multiply(multiply(double_divide(X0,X1),X1),X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,inverse(double_divide(X5,double_divide(X6,X5))))) = multiply(multiply(double_divide(X2,X7),X7),inverse(double_divide(X6,X0))),
inference(paramodulation,[status(thm)],[f4292,f27]) ).
fof(f5837,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(multiply(multiply(double_divide(X0,X1),X1),X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(double_divide(X5,X6),X6))) = multiply(multiply(double_divide(X2,X7),X7),inverse(double_divide(X5,X0))),
inference(forward_demodulation,[status(thm)],[f5,f5794]) ).
fof(f5838,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(double_divide(X1,X2),X2)),X3) = multiply(multiply(double_divide(X0,X4),X4),inverse(double_divide(X3,X1))),
inference(forward_demodulation,[status(thm)],[f218,f5837]) ).
fof(f5839,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(double_divide(X1,X2),X2)),X3) = multiply(multiply(double_divide(X0,X4),X4),multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f5,f5838]) ).
fof(f15878,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,X1) = multiply(multiply(double_divide(double_divide(X1,multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X2),X3),X3)),X2)),X4),X4),multiply(X5,multiply(double_divide(X5,X6),X6))),
inference(paramodulation,[status(thm)],[f409,f5839]) ).
fof(f16341,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(multiply(X0,X1),multiply(X2,multiply(double_divide(X2,X3),X3))),
inference(forward_demodulation,[status(thm)],[f409,f15878]) ).
fof(f16399,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(X4,double_divide(X1,X0)))) = multiply(inverse(X4),multiply(X5,multiply(double_divide(X5,X6),X6))),
inference(paramodulation,[status(thm)],[f22,f16341]) ).
fof(f16593,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(X0),multiply(X1,multiply(double_divide(X1,X2),X2))),
inference(forward_demodulation,[status(thm)],[f22,f16399]) ).
fof(f16748,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(double_divide(X3,X4),X4))) = multiply(double_divide(multiply(X5,multiply(double_divide(X5,X6),X6)),inverse(X0)),X3),
inference(paramodulation,[status(thm)],[f16593,f218]) ).
fof(f16779,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f220,f16748]) ).
fof(f17377,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(X0)) = multiply(double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),X3),X3),
inference(paramodulation,[status(thm)],[f163,f16779]) ).
fof(f17581,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : double_divide(double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,X4)),multiply(X5,double_divide(X6,X7))),double_divide(multiply(X7,X6),multiply(X3,double_divide(inverse(X4),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X8),X8))))))) = double_divide(multiply(X9,multiply(double_divide(X9,X10),X10)),inverse(X5)),
inference(paramodulation,[status(thm)],[f16779,f75]) ).
fof(f17700,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f75,f17581]) ).
fof(f17845,plain,
! [X0,X1,X2,X3] : double_divide(X0,X1) = double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f17700]) ).
fof(f21054,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f17377,f17377]) ).
fof(f21361,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),multiply(X2,X3)),double_divide(inverse(X3),multiply(X4,inverse(X4)))) = X2,
inference(paramodulation,[status(thm)],[f17377,f18]) ).
fof(f21545,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),double_divide(inverse(X0),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f17845,f21361]) ).
fof(f21660,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),X0) = double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),multiply(X3,inverse(X3))),
inference(paramodulation,[status(thm)],[f21054,f17845]) ).
fof(f21695,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,inverse(X0)),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(double_divide(X3,X4),X4))) = multiply(double_divide(inverse(X5),X5),X3),
inference(paramodulation,[status(thm)],[f21054,f218]) ).
fof(f21826,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f17845,f21660]) ).
fof(f21828,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),X0),X1) = multiply(double_divide(inverse(X2),X2),X1),
inference(forward_demodulation,[status(thm)],[f218,f21695]) ).
fof(f25871,plain,
! [X0,X1,X2] : double_divide(double_divide(multiply(X0,inverse(X0)),X1),double_divide(inverse(X2),X2)) = X1,
inference(paramodulation,[status(thm)],[f21826,f21545]) ).
fof(f30978,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(double_divide(multiply(X1,inverse(X1)),X2),X2)),
inference(paramodulation,[status(thm)],[f18,f25871]) ).
fof(f31576,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f30978,f17700]) ).
fof(f31741,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f31576,f30978]) ).
fof(f31742,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f31576,f25871]) ).
fof(f31843,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(multiply(X0,inverse(X0)),X1),double_divide(inverse(X2),X2)) = double_divide(X3,double_divide(X1,X3)),
inference(paramodulation,[status(thm)],[f31576,f4609]) ).
fof(f31935,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f25871,f31843]) ).
fof(f32137,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f31935,f5]) ).
fof(f32744,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(X2),inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f32137,f18]) ).
fof(f32892,plain,
! [X0,X1] : inverse(double_divide(X0,multiply(X1,inverse(X0)))) = X1,
inference(paramodulation,[status(thm)],[f31742,f32744]) ).
fof(f32921,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f5,f32892]) ).
fof(f33079,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f32137,f32921]) ).
fof(f33081,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f21054,f32921]) ).
fof(f33108,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(inverse(X0),X0),inverse(double_divide(inverse(X1),X1))),X2) = X2,
inference(paramodulation,[status(thm)],[f21828,f33081]) ).
fof(f33133,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(inverse(X0),X0),multiply(X1,inverse(X1))),X2) = X2,
inference(forward_demodulation,[status(thm)],[f5,f33108]) ).
fof(f33134,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f31741,f33133]) ).
fof(f33199,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f32137,f33134]) ).
fof(f33253,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f33199,f33134]) ).
fof(f33342,plain,
! [X0,X1] : multiply(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f33253,f32921]) ).
fof(f34557,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f33199,f33079]) ).
fof(f37682,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f33079,f33342]) ).
fof(f41245,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f34557,f32744]) ).
fof(f41402,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f41245,f32137]) ).
fof(f41457,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f5,f41402]) ).
fof(f49202,plain,
( sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f15,f41457]) ).
fof(f49504,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f49202]) ).
fof(f49570,plain,
( sQ0_spl
| double_divide(a1,inverse(a1)) != multiply(inverse(b1),b1) ),
inference(forward_demodulation,[status(thm)],[f33079,f9]) ).
fof(f49571,plain,
( sQ0_spl
| double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)) ),
inference(forward_demodulation,[status(thm)],[f33079,f49570]) ).
fof(f49572,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49571,f37682]) ).
fof(f49573,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f49572]) ).
fof(f49574,plain,
( sQ1_spl
| multiply(double_divide(b2,inverse(b2)),a2) != a2 ),
inference(forward_demodulation,[status(thm)],[f33079,f12]) ).
fof(f49575,plain,
( sQ1_spl
| a2 != a2 ),
inference(forward_demodulation,[status(thm)],[f33253,f49574]) ).
fof(f49576,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f49575]) ).
fof(f49577,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f49576]) ).
fof(f49578,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f49504,f49573,f49577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP083-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:57:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 48.44/6.59 % Refutation found
% 48.44/6.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.44/6.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 46.13/6.69 % Elapsed time: 6.308885 seconds
% 46.13/6.69 % CPU time: 49.755832 seconds
% 46.13/6.69 % Total memory used: 464.823 MB
% 46.13/6.69 % Net memory used: 459.493 MB
%------------------------------------------------------------------------------