%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP066-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 10:12:30 AM UTC 2026
% Result : Unsatisfiable 5.00s 1.65s
% Output : Refutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 8
% Syntax : Number of formulae : 127 ( 98 unt; 3 def)
% Number of atoms : 161 ( 120 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 33 ~; 31 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 230 ( 0 sgn 230 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| a2 != divide(identity,divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2]) ).
fof(f9,definition,
( spl0_1
<=> divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_3
<=> identity = divide(divide(identity,a1),divide(identity,a1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7,f17,f13,f9]) ).
fof(f21,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f22,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f21,f4]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(X1,divide(X0,divide(divide(identity,X1),X2))),divide(X3,X0))),X2) = X3,
inference(superposition,[],[f21,f21]) ).
fof(f24,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f21,f4]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : divide(identity,divide(X2,divide(X0,divide(divide(identity,X2),divide(divide(identity,X1),X3))))) = divide(divide(identity,divide(X1,X0)),X3),
inference(superposition,[],[f21,f21]) ).
fof(f32,plain,
! [X2,X0,X1] : divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),X2))))) = divide(divide(identity,divide(X1,X0)),X2),
inference(superposition,[],[f21,f22]) ).
fof(f33,plain,
! [X2,X0,X1] : divide(identity,divide(identity,divide(divide(X1,divide(divide(identity,X0),X2)),divide(identity,divide(divide(identity,X0),X2))))) = X1,
inference(backward_demodulation,[],[f21,f32]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : divide(identity,divide(X2,divide(X0,divide(divide(identity,X2),divide(divide(identity,X1),X3))))) = divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),X3))))),
inference(backward_demodulation,[],[f26,f32]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(divide(X3,X0),divide(identity,divide(divide(identity,divide(X1,divide(X0,divide(divide(identity,X1),X2)))),X2))))) = X3,
inference(backward_demodulation,[],[f23,f32]) ).
fof(f38,plain,
! [X0,X1] : divide(identity,divide(identity,divide(divide(X1,identity),divide(identity,divide(divide(identity,X0),divide(identity,X0)))))) = X1,
inference(backward_demodulation,[],[f24,f32]) ).
fof(f44,plain,
! [X1] : divide(identity,divide(identity,divide(divide(X1,identity),divide(identity,identity)))) = X1,
inference(forward_demodulation,[],[f38,f4]) ).
fof(f46,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(divide(X3,X0),divide(identity,divide(identity,divide(identity,divide(divide(X0,divide(divide(identity,X1),X2)),divide(identity,divide(divide(identity,X1),X2))))))))) = X3,
inference(forward_demodulation,[],[f35,f32]) ).
fof(f51,plain,
! [X1] : divide(identity,divide(identity,divide(divide(X1,identity),identity))) = X1,
inference(forward_demodulation,[],[f44,f4]) ).
fof(f52,plain,
! [X3,X0] : divide(identity,divide(identity,divide(divide(X3,X0),divide(identity,X0)))) = X3,
inference(forward_demodulation,[],[f46,f33]) ).
fof(f59,plain,
! [X0] : divide(identity,divide(identity,divide(identity,divide(identity,X0)))) = X0,
inference(superposition,[],[f52,f4]) ).
fof(f74,plain,
! [X0] : divide(identity,divide(identity,X0)) = divide(divide(X0,identity),identity),
inference(superposition,[],[f59,f51]) ).
fof(f75,plain,
! [X0,X1] : divide(identity,divide(identity,X0)) = divide(divide(X0,X1),divide(identity,X1)),
inference(superposition,[],[f59,f52]) ).
fof(f94,plain,
! [X0,X1] : divide(identity,divide(identity,X1)) = divide(divide(X1,divide(identity,divide(identity,divide(identity,X0)))),X0),
inference(superposition,[],[f75,f59]) ).
fof(f131,plain,
! [X0,X1] : divide(divide(identity,identity),X1) = divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X0),X1))))),
inference(superposition,[],[f32,f4]) ).
fof(f133,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(X0,identity)),X1))))) = divide(divide(identity,divide(identity,divide(identity,X0))),X1),
inference(superposition,[],[f32,f74]) ).
fof(f136,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(divide(identity,divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),X2)))))),X3),
inference(superposition,[],[f32,f32]) ).
fof(f145,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),identity))))),identity),
inference(superposition,[],[f74,f32]) ).
fof(f148,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(identity,divide(identity,divide(divide(X0,divide(identity,divide(divide(identity,X1),identity))),divide(identity,divide(divide(identity,identity),identity))))),
inference(forward_demodulation,[],[f145,f32]) ).
fof(f155,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(identity,divide(identity,divide(divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),X2)))),divide(identity,divide(divide(identity,identity),X3))))),
inference(forward_demodulation,[],[f136,f32]) ).
fof(f158,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(X0,identity)),X1))))) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),X1))))),
inference(forward_demodulation,[],[f133,f32]) ).
fof(f160,plain,
! [X0,X1] : divide(identity,X1) = divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X0),X1))))),
inference(forward_demodulation,[],[f131,f4]) ).
fof(f162,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(identity,divide(identity,divide(divide(X0,divide(identity,divide(divide(identity,X1),identity))),divide(identity,divide(identity,divide(identity,identity)))))),
inference(forward_demodulation,[],[f148,f74]) ).
fof(f169,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,X1),X2)),divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),X3))))))))),
inference(forward_demodulation,[],[f155,f32]) ).
fof(f172,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(X0,identity)),X1))))) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(identity,X1))))),
inference(forward_demodulation,[],[f158,f4]) ).
fof(f174,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(identity,divide(identity,divide(divide(X0,divide(identity,divide(divide(identity,X1),identity))),divide(identity,divide(identity,identity))))),
inference(forward_demodulation,[],[f162,f4]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(divide(identity,divide(divide(identity,X1),X2)),divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),X3))))),
inference(forward_demodulation,[],[f169,f59]) ).
fof(f181,plain,
! [X0,X1] : divide(divide(identity,divide(X0,identity)),X1) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(identity,X1))))),
inference(forward_demodulation,[],[f172,f59]) ).
fof(f183,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(identity,divide(identity,divide(divide(X0,divide(identity,divide(divide(identity,X1),identity))),divide(identity,identity)))),
inference(forward_demodulation,[],[f174,f4]) ).
fof(f186,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,X1)),divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),X3))))))))),
inference(forward_demodulation,[],[f178,f32]) ).
fof(f188,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,X0),X1))))) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(identity,X1))))),
inference(forward_demodulation,[],[f181,f32]) ).
fof(f189,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(identity,divide(identity,divide(divide(X0,divide(identity,divide(divide(identity,X1),identity))),identity))),
inference(forward_demodulation,[],[f183,f4]) ).
fof(f192,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(X1,divide(identity,divide(divide(identity,identity),divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),X3))))))))))))),
inference(forward_demodulation,[],[f186,f32]) ).
fof(f194,plain,
! [X0,X1] : divide(divide(identity,X0),X1) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(identity,X1))))),
inference(forward_demodulation,[],[f188,f59]) ).
fof(f195,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(X1,divide(identity,divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(identity,X3))))))))))))),
inference(forward_demodulation,[],[f192,f4]) ).
fof(f198,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(identity,divide(identity,divide(X1,X0))),X3))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))))))),
inference(forward_demodulation,[],[f195,f194]) ).
fof(f201,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(divide(X1,X0),divide(identity,divide(divide(identity,identity),X3))))))))),
inference(forward_demodulation,[],[f198,f32]) ).
fof(f203,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(divide(X1,X0),divide(identity,divide(identity,X3))))))))),
inference(forward_demodulation,[],[f201,f4]) ).
fof(f204,plain,
! [X0,X1] : divide(identity,X1) = divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,X0))),divide(identity,divide(X0,X1))))),
inference(superposition,[],[f160,f59]) ).
fof(f210,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,X0))),divide(identity,divide(identity,divide(identity,identity)))))),
inference(superposition,[],[f160,f94]) ).
fof(f211,plain,
! [X0] : divide(identity,divide(identity,divide(X0,divide(identity,identity)))) = divide(identity,divide(identity,X0)),
inference(superposition,[],[f160,f4]) ).
fof(f219,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,X0))) = divide(X1,divide(identity,divide(divide(identity,X1),X0))),
inference(superposition,[],[f59,f160]) ).
fof(f238,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = divide(identity,divide(identity,X0)),
inference(forward_demodulation,[],[f211,f4]) ).
fof(f239,plain,
! [X0] : divide(identity,X0) = divide(divide(identity,divide(identity,divide(identity,X0))),divide(identity,identity)),
inference(forward_demodulation,[],[f210,f194]) ).
fof(f243,plain,
! [X0,X1] : divide(identity,X1) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),divide(identity,divide(X0,X1))))))))),
inference(forward_demodulation,[],[f204,f32]) ).
fof(f250,plain,
! [X0,X1] : divide(identity,divide(identity,divide(identity,divide(X1,X0)))) = divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),identity))))),
inference(backward_demodulation,[],[f189,f238]) ).
fof(f251,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),divide(identity,identity)))))),
inference(forward_demodulation,[],[f239,f32]) ).
fof(f255,plain,
! [X0,X1] : divide(identity,X1) = divide(divide(identity,X0),divide(identity,divide(divide(identity,identity),divide(identity,divide(X0,X1))))),
inference(forward_demodulation,[],[f243,f59]) ).
fof(f259,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(divide(identity,X0),divide(identity,identity)))),
inference(forward_demodulation,[],[f251,f4]) ).
fof(f262,plain,
! [X0,X1] : divide(identity,X1) = divide(divide(identity,X0),divide(identity,divide(identity,divide(identity,divide(X0,X1))))),
inference(forward_demodulation,[],[f255,f4]) ).
fof(f265,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(divide(identity,X0),identity))),
inference(forward_demodulation,[],[f259,f4]) ).
fof(f269,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
inference(forward_demodulation,[],[f265,f238]) ).
fof(f272,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(identity,divide(divide(identity,X1),X0))),
inference(backward_demodulation,[],[f219,f269]) ).
fof(f275,plain,
! [X0,X1] : divide(identity,divide(identity,X1)) = divide(divide(X1,divide(identity,X0)),X0),
inference(backward_demodulation,[],[f94,f269]) ).
fof(f276,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f59,f269]) ).
fof(f278,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(identity,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(X1,X0),divide(identity,divide(identity,X3))))))),
inference(backward_demodulation,[],[f203,f269]) ).
fof(f280,plain,
! [X0,X1] : divide(identity,X1) = divide(divide(identity,X0),divide(identity,divide(X0,X1))),
inference(backward_demodulation,[],[f262,f269]) ).
fof(f281,plain,
! [X0,X1] : divide(identity,divide(X1,X0)) = divide(identity,divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),identity))))),
inference(backward_demodulation,[],[f250,f269]) ).
fof(f286,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(X1,X0),divide(identity,divide(identity,X3))))))) = divide(identity,divide(identity,divide(X2,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))))),
inference(forward_demodulation,[],[f278,f269]) ).
fof(f289,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(backward_demodulation,[],[f75,f276]) ).
fof(f291,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(backward_demodulation,[],[f238,f276]) ).
fof(f293,plain,
! [X2,X3,X0,X1] : divide(identity,divide(X2,divide(X0,divide(divide(identity,X2),divide(divide(identity,X1),X3))))) = divide(X0,divide(identity,divide(divide(identity,X1),X3))),
inference(backward_demodulation,[],[f34,f276]) ).
fof(f294,plain,
! [X2,X0,X1] : divide(X0,divide(identity,divide(divide(identity,X1),X2))) = divide(divide(identity,divide(X1,X0)),X2),
inference(backward_demodulation,[],[f32,f276]) ).
fof(f295,plain,
! [X0,X1] : divide(identity,divide(X1,X0)) = divide(X0,divide(identity,divide(divide(identity,X1),identity))),
inference(backward_demodulation,[],[f281,f276]) ).
fof(f297,plain,
! [X0,X1] : divide(divide(X1,divide(identity,X0)),X0) = X1,
inference(forward_demodulation,[],[f275,f276]) ).
fof(f303,plain,
! [X2,X3,X0,X1] : divide(identity,divide(identity,divide(X2,divide(identity,divide(divide(X1,X0),divide(identity,divide(identity,X3))))))) = divide(X2,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))),
inference(forward_demodulation,[],[f286,f276]) ).
fof(f304,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[],[f291,f276]) ).
fof(f311,plain,
! [X2,X3,X0,X1] : divide(X2,divide(identity,divide(divide(X1,X0),divide(identity,divide(identity,X3))))) = divide(X2,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))),
inference(forward_demodulation,[],[f303,f276]) ).
fof(f313,plain,
! [X0,X1] : divide(identity,divide(X1,X0)) = divide(X0,divide(identity,divide(identity,X1))),
inference(backward_demodulation,[],[f295,f304]) ).
fof(f317,plain,
! [X2,X3,X0,X1] : divide(X2,divide(identity,divide(X1,divide(identity,divide(divide(identity,X0),X3))))) = divide(X2,divide(identity,divide(divide(X1,X0),X3))),
inference(forward_demodulation,[],[f311,f276]) ).
fof(f318,plain,
! [X0,X1] : divide(identity,divide(X1,X0)) = divide(X0,X1),
inference(forward_demodulation,[],[f313,f276]) ).
fof(f348,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(identity,X1),divide(X0,X1)),
inference(superposition,[],[f318,f289]) ).
fof(f349,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(X0,divide(identity,X1))),
inference(superposition,[],[f318,f297]) ).
fof(f357,plain,
! [X2,X0,X1] : divide(divide(X2,divide(X1,X0)),divide(X0,X1)) = X2,
inference(superposition,[],[f289,f318]) ).
fof(f423,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(X0,divide(c3,divide(identity,X0)))) != divide(a3,divide(identity,divide(b3,divide(X0,divide(c3,divide(identity,X0))))))
| spl0_1 ),
inference(superposition,[],[f11,f349]) ).
fof(f507,plain,
! [X2,X0,X1] : divide(X2,divide(identity,divide(divide(identity,X0),X1))) = divide(identity,divide(X1,divide(X2,divide(identity,divide(identity,X0))))),
inference(superposition,[],[f293,f348]) ).
fof(f547,plain,
! [X2,X0,X1] : divide(X2,divide(identity,divide(divide(identity,X0),X1))) = divide(identity,divide(X1,divide(X2,X0))),
inference(forward_demodulation,[],[f507,f276]) ).
fof(f651,plain,
! [X2,X0,X1] : divide(X0,divide(X1,X2)) = divide(X0,divide(identity,divide(X2,X1))),
inference(superposition,[],[f289,f357]) ).
fof(f888,plain,
! [X2,X0,X1] : divide(identity,X2) = divide(divide(X1,X0),divide(identity,divide(divide(X0,X1),X2))),
inference(superposition,[],[f272,f318]) ).
fof(f933,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,c3),X0),divide(identity,X0))) != divide(a3,divide(identity,divide(b3,divide(divide(divide(identity,c3),X0),divide(identity,X0)))))
| spl0_1 ),
inference(superposition,[],[f423,f272]) ).
fof(f934,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,c3),X0),divide(identity,X0))) != divide(a3,divide(identity,divide(b3,divide(identity,divide(divide(identity,X0),divide(divide(identity,c3),X0))))))
| spl0_1 ),
inference(forward_demodulation,[],[f933,f651]) ).
fof(f968,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,c3),X0),divide(identity,X0))) != divide(a3,divide(identity,divide(divide(b3,X0),divide(divide(identity,c3),X0))))
| spl0_1 ),
inference(forward_demodulation,[],[f934,f317]) ).
fof(f993,plain,
( ! [X0] : divide(a3,divide(identity,divide(divide(b3,X0),divide(divide(identity,c3),X0)))) != divide(divide(a3,divide(identity,b3)),divide(identity,divide(divide(identity,X0),divide(divide(identity,c3),X0))))
| spl0_1 ),
inference(forward_demodulation,[],[f968,f651]) ).
fof(f1010,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(identity,divide(identity,divide(identity,c3)))) != divide(a3,divide(identity,divide(divide(b3,X0),divide(divide(identity,c3),X0))))
| spl0_1 ),
inference(forward_demodulation,[],[f993,f348]) ).
fof(f1021,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(identity,divide(c3,identity))) != divide(a3,divide(identity,divide(divide(b3,X0),divide(divide(identity,c3),X0))))
| spl0_1 ),
inference(forward_demodulation,[],[f1010,f651]) ).
fof(f1031,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(divide(b3,X0),divide(divide(identity,c3),X0))))
| spl0_1 ),
inference(forward_demodulation,[],[f1021,f651]) ).
fof(f1053,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(divide(b3,X0),divide(identity,divide(X0,divide(identity,c3))))))
| spl0_1 ),
inference(superposition,[],[f1031,f318]) ).
fof(f1998,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X2,X1)),divide(identity,divide(identity,X0))) = divide(identity,divide(identity,divide(divide(X1,X2),X0))),
inference(superposition,[],[f280,f888]) ).
fof(f2013,plain,
! [X2,X0,X1] : divide(divide(X1,X2),X0) = divide(divide(identity,divide(X2,X1)),divide(identity,divide(identity,X0))),
inference(forward_demodulation,[],[f1998,f276]) ).
fof(f2074,plain,
! [X2,X0,X1] : divide(divide(X1,X2),X0) = divide(X1,divide(identity,divide(divide(identity,X2),divide(identity,divide(identity,X0))))),
inference(forward_demodulation,[],[f2013,f294]) ).
fof(f2108,plain,
! [X2,X0,X1] : divide(X1,divide(identity,divide(divide(identity,X2),X0))) = divide(divide(X1,X2),X0),
inference(forward_demodulation,[],[f2074,f276]) ).
fof(f2828,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(divide(identity,X0),divide(identity,divide(divide(X0,divide(identity,b3)),divide(identity,c3))))))
| spl0_1 ),
inference(superposition,[],[f1053,f349]) ).
fof(f2849,plain,
( ! [X0] : divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(divide(a3,X0),divide(identity,divide(divide(X0,divide(identity,b3)),divide(identity,c3))))
| spl0_1 ),
inference(forward_demodulation,[],[f2828,f2108]) ).
fof(f3925,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(divide(a3,divide(identity,b3)),divide(identity,divide(divide(identity,identity),divide(identity,c3))))
| spl0_1 ),
inference(superposition,[],[f2849,f348]) ).
fof(f3934,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(identity,divide(divide(identity,c3),divide(divide(a3,divide(identity,b3)),identity)))
| spl0_1 ),
inference(forward_demodulation,[],[f3925,f547]) ).
fof(f3952,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(identity,divide(divide(identity,c3),divide(identity,divide(identity,divide(a3,divide(identity,b3))))))
| spl0_1 ),
inference(forward_demodulation,[],[f3934,f651]) ).
fof(f3963,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(identity,divide(divide(identity,c3),divide(a3,divide(identity,b3))))
| spl0_1 ),
inference(forward_demodulation,[],[f3952,f276]) ).
fof(f3972,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f3963,f318]) ).
fof(f3973,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f3972]) ).
fof(f3984,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f15,f276]) ).
fof(f3985,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3984]) ).
fof(f3986,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f19,f4]) ).
fof(f3987,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3986]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f3973]) ).
cnf(s5,plain,
spl0_2,
inference(sat_conversion,[],[f3985]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f3987]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s4]) ).
fof(f3988,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP066-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n004.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 09:17:22 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.00/1.65 % (3240189)Input is clausal, will run a generic CNF schedule.
% 5.00/1.65 % (3240329)dis-21_1_sil=8000:lcm=predicate:random_seed=548191221:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.00/1.65 % (3240329)Refutation not found, incomplete strategy
% 5.00/1.65 % (3240329)------------------------------
% 5.00/1.65 % (3240329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240329)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240329)Termination reason: Refutation not found, incomplete strategy
% 5.00/1.65 % (3240329)Time elapsed: 0.001 s
% 5.00/1.65 % (3240329)Peak memory usage: 88 MB
% 5.00/1.65 % (3240321)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1132593555:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.00/1.65 % (3240320)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1738699167:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.00/1.65 % (3240327)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2581495529:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.00/1.65 % (3240323)lrs+10_1_sil=8000:sp=occurrence:random_seed=4006459878:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.00/1.65 % (3240318)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2156155888:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.00/1.65 % (3240325)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=288329103:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.00/1.65 % (3240323)Instruction limit reached!
% 5.00/1.65 % (3240323)------------------------------
% 5.00/1.65 % (3240323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240323)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240323)Termination reason: Instruction limit
% 5.00/1.65 % (3240323)Termination phase: Saturation
% 5.00/1.65 % (3240323)Time elapsed: 0.065 s
% 5.00/1.65 % (3240323)Peak memory usage: 89 MB
% 5.00/1.65 % (3240323)Instructions burned: 107 (million)
% 5.00/1.65 % (3240325)Instruction limit reached!
% 5.00/1.65 % (3240325)------------------------------
% 5.00/1.65 % (3240325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240325)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240325)Termination reason: Instruction limit
% 5.00/1.65 % (3240325)Termination phase: Saturation
% 5.00/1.65 % (3240325)Time elapsed: 0.072 s
% 5.00/1.65 % (3240325)Peak memory usage: 89 MB
% 5.00/1.65 % (3240325)Instructions burned: 115 (million)
% 5.00/1.65 % (3240327)Instruction limit reached!
% 5.00/1.65 % (3240327)------------------------------
% 5.00/1.65 % (3240327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240327)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240327)Termination reason: Instruction limit
% 5.00/1.65 % (3240327)Termination phase: Saturation
% 5.00/1.65 % (3240327)Time elapsed: 0.104 s
% 5.00/1.65 % (3240327)Peak memory usage: 90 MB
% 5.00/1.65 % (3240327)Instructions burned: 181 (million)
% 5.00/1.65 % (3240329)------------------------------
% 5.00/1.65 % (3240329)------------------------------
% 5.00/1.65 % (3240363)lrs+10_64_to=lpo:sil=8000:random_seed=1464321032:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.00/1.65 % (3240360)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1627941760:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.00/1.65 % (3240360)Refutation not found, incomplete strategy
% 5.00/1.65 % (3240360)------------------------------
% 5.00/1.65 % (3240360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240360)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240360)Termination reason: Refutation not found, incomplete strategy
% 5.00/1.65 % (3240360)Time elapsed: 0.001 s
% 5.00/1.65 % (3240360)Peak memory usage: 88 MB
% 5.00/1.65 % (3240361)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3388749589:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.00/1.65 % (3240361)Refutation not found, incomplete strategy
% 5.00/1.65 % (3240361)------------------------------
% 5.00/1.65 % (3240361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240361)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240361)Termination reason: Refutation not found, incomplete strategy
% 5.00/1.65 % (3240361)Time elapsed: 0.002 s
% 5.00/1.65 % (3240361)Peak memory usage: 88 MB
% 5.00/1.65 % (3240361)Instructions burned: 1 (million)
% 5.00/1.65 % (3240362)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=608088434:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.00/1.65 % (3240362)Refutation not found, incomplete strategy
% 5.00/1.65 % (3240362)------------------------------
% 5.00/1.65 % (3240362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240362)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240362)Termination reason: Refutation not found, incomplete strategy
% 5.00/1.65 % (3240362)Time elapsed: 0.002 s
% 5.00/1.65 % (3240362)Peak memory usage: 88 MB
% 5.00/1.65 % (3240362)Instructions burned: 1 (million)
% 5.00/1.65 % (3240363)Instruction limit reached!
% 5.00/1.65 % (3240363)------------------------------
% 5.00/1.65 % (3240363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65 % (3240363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65 % (3240363)CaDiCaL version: 2.1.3
% 5.00/1.65 % (3240363)Termination reason: Instruction limit
% 5.00/1.65 % (3240363)Termination phase: Saturation
% 5.00/1.65 % (3240363)Time elapsed: 0.039 s
% 5.00/1.65 % (3240363)Peak memory usage: 89 MB
% 5.00/1.65 % (3240363)Instructions burned: 129 (million)
% 5.00/1.65 % (3240368)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=466780480:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.00/1.65 % (3240368)First to succeed.
% 5.00/1.65 % (3240368)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3240189"
% 5.00/1.65 % (3240360)------------------------------
% 5.00/1.65 % (3240360)------------------------------
% 5.00/1.65 % (3240361)------------------------------
% 5.00/1.65 % (3240361)------------------------------
% 5.00/1.65 % (3240362)------------------------------
% 5.00/1.65 % (3240362)------------------------------
% 5.00/1.65 % (3240368)Refutation found. Thanks to Tanya!
% 5.00/1.65 % SZS status Unsatisfiable for theBenchmark
% 5.00/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 5.94/1.75 % (3240368)------------------------------
% 5.94/1.75 % (3240368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.75 % (3240368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.75 % (3240368)CaDiCaL version: 2.1.3
% 5.94/1.75 % (3240368)Termination reason: Refutation
% 5.94/1.75 % (3240368)Time elapsed: 0.063 s
% 5.94/1.75 % (3240368)Peak memory usage: 91 MB
% 5.94/1.75 % (3240368)Instructions burned: 201 (million)
% 5.94/1.75 % (3240368)------------------------------
% 5.94/1.75 % (3240368)------------------------------
% 5.94/1.75 % (3240189)Success in time 0.775 s
% 5.94/1.75 % Vampire exiting
%------------------------------------------------------------------------------