%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP049-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 10:16:30 AM UTC 2026
% Result : Unsatisfiable 50.47s 11.61s
% Output : Refutation 50.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 5
% Syntax : Number of formulae : 156 ( 142 unt; 3 def)
% Number of atoms : 174 ( 147 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 21 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 490 ( 0 sgn 490 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f13,f9,f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X3)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2))))))))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,multiply(inverse(X2),X2)))))),
inference(superposition,[],[f1,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),X3))),multiply(inverse(inverse(multiply(X3,multiply(inverse(X3),X3)))),inverse(multiply(X3,multiply(inverse(X3),X3))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))),
inference(superposition,[],[f18,f18]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X2)),inverse(multiply(inverse(inverse(multiply(X3,multiply(inverse(X3),X3)))),inverse(multiply(X3,multiply(inverse(X3),X3)))))) = inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),inverse(multiply(X1,multiply(inverse(X1),X1))))),
inference(superposition,[],[f18,f18]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1))))))),X5)),inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1)))))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2))))))))),
inference(superposition,[],[f18,f18]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),inverse(multiply(X3,multiply(inverse(X3),X3))))) = X0,
inference(superposition,[],[f18,f1]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X2)),multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2))))))) = X1,
inference(superposition,[],[f1,f18]) ).
fof(f66,plain,
! [X0,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X0,X5))),inverse(multiply(X4,multiply(inverse(X4),X4))))) = X5,
inference(superposition,[],[f34,f34]) ).
fof(f106,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X2),X2))) = multiply(inverse(multiply(X1,X2)),inverse(multiply(X0,inverse(multiply(multiply(X1,X0),multiply(inverse(multiply(X1,X0)),multiply(X1,X0))))))),
inference(superposition,[],[f1,f66]) ).
fof(f108,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X0)),
inference(superposition,[],[f36,f66]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(inverse(multiply(X4,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X4,X3)),
inference(superposition,[],[f108,f66]) ).
fof(f736,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X0,multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X0))),X4)),
inference(superposition,[],[f128,f66]) ).
fof(f1566,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(X0,multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f36,f106]) ).
fof(f1672,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(superposition,[],[f736,f1566]) ).
fof(f1810,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f1672,f1566]) ).
fof(f1974,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(inverse(multiply(X1,X2)),X3))))),inverse(multiply(X5,multiply(inverse(X5),X5))))),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(superposition,[],[f18,f1672]) ).
fof(f1983,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[],[f1974,f66]) ).
fof(f1999,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = X3,
inference(forward_demodulation,[],[f1983,f1]) ).
fof(f2072,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(X2))))) = X2,
inference(superposition,[],[f1566,f1810]) ).
fof(f2092,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X1)),multiply(X3,X2)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)),
inference(superposition,[],[f108,f1810]) ).
fof(f2093,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X1)),
inference(superposition,[],[f108,f1810]) ).
fof(f2283,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1999,f1810]) ).
fof(f2393,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2283,f1810]) ).
fof(f2479,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f2072,f1810]) ).
fof(f2605,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f2479,f1810]) ).
fof(f2854,plain,
! [X2,X0] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[],[f2283,f2605]) ).
fof(f2860,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f2605]) ).
fof(f2917,plain,
! [X2,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f2860,f1999]) ).
fof(f2984,plain,
! [X2,X3,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2,
inference(superposition,[],[f2479,f2917]) ).
fof(f3086,plain,
! [X3,X0] : inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X3,multiply(inverse(X3),X3))))) = X3,
inference(superposition,[],[f34,f2917]) ).
fof(f3087,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(X2,multiply(multiply(inverse(X0),X0),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(superposition,[],[f1672,f2917]) ).
fof(f3106,plain,
! [X2,X3,X0] : inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X2,multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f2283,f2917]) ).
fof(f3118,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X1)),multiply(X3,X2)) = multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X2)),
inference(superposition,[],[f108,f2917]) ).
fof(f3313,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)),
inference(superposition,[],[f2917,f2854]) ).
fof(f6746,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))))) = X2,
inference(superposition,[],[f3086,f2917]) ).
fof(f7014,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = multiply(X0,multiply(multiply(inverse(X1),X1),inverse(multiply(X0,multiply(inverse(X2),X2))))),
inference(superposition,[],[f1810,f3106]) ).
fof(f19967,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f2984,f3313]) ).
fof(f22508,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))),X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(multiply(X3,multiply(inverse(X3),X3)))))))))) = X4,
inference(superposition,[],[f17,f18]) ).
fof(f148630,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,X4)),multiply(inverse(X0),X0)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))),X4)),multiply(inverse(X5),X5)),
inference(superposition,[],[f2093,f1672]) ).
fof(f149940,plain,
! [X3,X0,X4,X5] : multiply(inverse(multiply(X3,X4)),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X3,X4)),multiply(inverse(X5),X5)),
inference(forward_demodulation,[],[f148630,f66]) ).
fof(f150428,plain,
! [X0,X4,X5] : multiply(X0,multiply(inverse(X4),X4)) = multiply(X0,multiply(inverse(X5),X5)),
inference(superposition,[],[f149940,f34]) ).
fof(f153542,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(inverse(X2),X2))) = multiply(inverse(multiply(X0,X2)),inverse(multiply(multiply(inverse(X3),X3),inverse(multiply(multiply(X0,multiply(inverse(X1),X1)),multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(X0,multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f106,f150428]) ).
fof(f154161,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X2),X2))) = multiply(inverse(multiply(X0,X2)),multiply(X0,multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f153542,f3086]) ).
fof(f188883,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(inverse(X0),X0))) = multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3))),
inference(superposition,[],[f154161,f1810]) ).
fof(f239284,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X3),X3))),
inference(superposition,[],[f66,f7014]) ).
fof(f239423,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f239284,f1999]) ).
fof(f239721,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),X2)),multiply(inverse(X3),X3))) = X2,
inference(superposition,[],[f239423,f2917]) ).
fof(f244143,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f239721,f188883]) ).
fof(f245748,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(multiply(inverse(X1),X1),X0)),
inference(superposition,[],[f244143,f239423]) ).
fof(f246995,plain,
! [X2,X0] : inverse(multiply(inverse(X0),multiply(inverse(X2),X2))) = X0,
inference(superposition,[],[f239423,f245748]) ).
fof(f247577,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X2),X2),X0) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f19967,f245748]) ).
fof(f247676,plain,
! [X2,X0] : multiply(multiply(inverse(X2),X2),X0) = X0,
inference(forward_demodulation,[],[f247577,f19967]) ).
fof(f248065,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),X2) = X2,
inference(superposition,[],[f247676,f2917]) ).
fof(f250738,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),X3))),multiply(X3,inverse(multiply(X3,multiply(inverse(X3),X3))))))))),
inference(forward_demodulation,[],[f21,f244143]) ).
fof(f251817,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X0),X2)) = multiply(multiply(inverse(X3),X3),multiply(inverse(multiply(inverse(X1),X1)),X2)),
inference(superposition,[],[f3118,f246995]) ).
fof(f252574,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(X0,multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f251817,f247676]) ).
fof(f252998,plain,
! [X2,X0] : multiply(X0,multiply(inverse(X0),X2)) = X2,
inference(forward_demodulation,[],[f252574,f248065]) ).
fof(f253314,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f252998,f1810]) ).
fof(f253317,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f252998,f2917]) ).
fof(f253323,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,multiply(multiply(inverse(X1),X1),inverse(multiply(X0,multiply(inverse(X0),X0)))))) = X2,
inference(superposition,[],[f252998,f3087]) ).
fof(f253606,plain,
! [X0,X1] : inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f154161,f252998]) ).
fof(f253616,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f244143,f252998]) ).
fof(f253954,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(forward_demodulation,[],[f253606,f252998]) ).
fof(f254129,plain,
! [X2,X0] : multiply(X2,multiply(X0,inverse(multiply(X0,multiply(inverse(X0),X0))))) = X2,
inference(forward_demodulation,[],[f253323,f247676]) ).
fof(f254379,plain,
! [X2,X0] : multiply(X2,multiply(X0,inverse(X0))) = X2,
inference(forward_demodulation,[],[f254129,f252998]) ).
fof(f255457,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,inverse(multiply(X0,inverse(X0))))))) = X2,
inference(superposition,[],[f6746,f253616]) ).
fof(f255747,plain,
! [X2,X0] : inverse(inverse(multiply(X2,inverse(multiply(X0,inverse(X0)))))) = X2,
inference(forward_demodulation,[],[f255457,f245748]) ).
fof(f256213,plain,
! [X2,X0] : multiply(X2,inverse(multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f255747,f253616]) ).
fof(f259048,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(inverse(X0)),X1))),inverse(multiply(X1,multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f1566,f253314]) ).
fof(f259925,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(inverse(X0)),X1))),inverse(X1)) = X0,
inference(forward_demodulation,[],[f259048,f252998]) ).
fof(f260510,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(X0)),X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f259925,f253616]) ).
fof(f260934,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f260510,f253616]) ).
fof(f266928,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f260934,f253616]) ).
fof(f287443,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),inverse(multiply(inverse(X3),multiply(X3,inverse(X3))))))),
inference(forward_demodulation,[],[f250738,f252998]) ).
fof(f287444,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),inverse(inverse(X3))))),
inference(forward_demodulation,[],[f287443,f254379]) ).
fof(f287445,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),X3))),
inference(forward_demodulation,[],[f287444,f253616]) ).
fof(f287446,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),X3))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),X5)),inverse(X4))),
inference(forward_demodulation,[],[f287445,f252998]) ).
fof(f287447,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(inverse(X5),X3))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),inverse(X2)))),X4)),X5)),inverse(X4))),
inference(forward_demodulation,[],[f287446,f252998]) ).
fof(f292699,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X5)),X4)),inverse(X5))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),inverse(X2)))),X2)),X3)),X1)),inverse(multiply(inverse(X4),X3))),
inference(superposition,[],[f287447,f1810]) ).
fof(f295565,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)),X3)),X1)),inverse(multiply(inverse(X4),X3))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X5)),X4)),inverse(X5))),
inference(forward_demodulation,[],[f292699,f253616]) ).
fof(f298542,plain,
! [X2,X3,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)),X3)),X1)),inverse(multiply(inverse(X4),X3))) = inverse(multiply(inverse(multiply(inverse(X5),X4)),inverse(X5))),
inference(forward_demodulation,[],[f295565,f245748]) ).
fof(f300973,plain,
! [X2,X3,X1,X4] : inverse(inverse(X4)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)),X3)),X1)),inverse(multiply(inverse(X4),X3))),
inference(forward_demodulation,[],[f298542,f253954]) ).
fof(f302796,plain,
! [X3,X1,X4] : inverse(inverse(X4)) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),X3)),X1)),inverse(multiply(inverse(X4),X3))),
inference(forward_demodulation,[],[f300973,f266928]) ).
fof(f303927,plain,
! [X3,X1,X4] : inverse(inverse(X4)) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X1)),inverse(multiply(inverse(X4),X3))),
inference(forward_demodulation,[],[f302796,f253616]) ).
fof(f304559,plain,
! [X3,X4] : inverse(inverse(X4)) = multiply(inverse(inverse(X3)),inverse(multiply(inverse(X4),X3))),
inference(forward_demodulation,[],[f303927,f253954]) ).
fof(f304858,plain,
! [X3,X4] : inverse(inverse(X4)) = multiply(X3,inverse(multiply(inverse(X4),X3))),
inference(forward_demodulation,[],[f304559,f253616]) ).
fof(f305019,plain,
! [X3,X4] : multiply(X3,inverse(multiply(inverse(X4),X3))) = X4,
inference(forward_demodulation,[],[f304858,f253616]) ).
fof(f305690,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X0,multiply(inverse(X0),X0))))) = multiply(inverse(multiply(inverse(multiply(X1,multiply(inverse(X1),X1))),X1)),inverse(multiply(inverse(inverse(multiply(X2,multiply(inverse(X2),X2)))),inverse(multiply(X2,multiply(inverse(X2),X2)))))),
inference(superposition,[],[f27,f305019]) ).
fof(f306039,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X0,multiply(inverse(X0),X0))))) = inverse(multiply(inverse(multiply(X1,multiply(inverse(X1),X1))),X1)),
inference(forward_demodulation,[],[f305690,f253317]) ).
fof(f306520,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(X1),X1))) = inverse(multiply(X0,inverse(multiply(X0,multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f306039,f253954]) ).
fof(f306777,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(X1),X1))) = inverse(multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f306520,f252998]) ).
fof(f306920,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f306777,f253616]) ).
fof(f308894,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))),X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(X3)))))))) = X4,
inference(forward_demodulation,[],[f22508,f252998]) ).
fof(f308895,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))),X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(X3)))))))) = X4,
inference(forward_demodulation,[],[f308894,f253616]) ).
fof(f308896,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)),X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(X3)))))))) = X4,
inference(forward_demodulation,[],[f308895,f252998]) ).
fof(f308897,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),X2))),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(X3)))))))) = X4,
inference(forward_demodulation,[],[f308896,f266928]) ).
fof(f308898,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1))),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,X1)),X2),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(X3)))))))) = X4,
inference(forward_demodulation,[],[f308897,f253616]) ).
fof(f308899,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1))),inverse(multiply(inverse(inverse(X3)),inverse(X3)))))))) = X4,
inference(forward_demodulation,[],[f308898,f253954]) ).
fof(f308900,plain,
! [X2,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1))))))) = X4,
inference(forward_demodulation,[],[f308899,f253317]) ).
fof(f308901,plain,
! [X2,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X4)),multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1))))) = X4,
inference(forward_demodulation,[],[f308900,f253616]) ).
fof(f309281,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(X3),X3)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(multiply(X1,X4)),multiply(inverse(X2),X2))),inverse(X4))))),
inference(superposition,[],[f308901,f2393]) ).
fof(f311358,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(X3),X3)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X4)),multiply(inverse(X2),X2))),inverse(X4)))),
inference(forward_demodulation,[],[f309281,f248065]) ).
fof(f312598,plain,
! [X3,X1,X4] : inverse(multiply(inverse(X3),X3)) = multiply(X1,inverse(multiply(multiply(X1,X4),inverse(X4)))),
inference(forward_demodulation,[],[f311358,f246995]) ).
fof(f313614,plain,
! [X3,X1] : inverse(multiply(inverse(X3),X3)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f312598,f260934]) ).
fof(f337937,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),X1)) = multiply(inverse(multiply(inverse(X1),X2)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f2092,f306920]) ).
fof(f338096,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X2))),multiply(inverse(X3),X3)) = multiply(multiply(inverse(X0),X0),multiply(X2,X1)),
inference(superposition,[],[f2093,f306920]) ).
fof(f339340,plain,
! [X2,X3,X1] : multiply(X2,X1) = multiply(inverse(multiply(inverse(X1),inverse(X2))),multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f338096,f247676]) ).
fof(f339478,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X1),X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f337937,f256213]) ).
fof(f341139,plain,
! [X2,X1] : multiply(X2,X1) = inverse(multiply(inverse(X1),inverse(X2))),
inference(forward_demodulation,[],[f339340,f253314]) ).
fof(f341255,plain,
! [X2,X1] : inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(forward_demodulation,[],[f339478,f248065]) ).
fof(f345503,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),inverse(X1))),
inference(superposition,[],[f2092,f313614]) ).
fof(f345741,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(X0),X0))) = multiply(inverse(X2),inverse(X1)),
inference(forward_demodulation,[],[f345503,f248065]) ).
fof(f347401,plain,
! [X2,X1] : inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
inference(forward_demodulation,[],[f345741,f253317]) ).
fof(f349972,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X0,multiply(inverse(X3),X3))))) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f341139,f2283]) ).
fof(f352983,plain,
! [X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(multiply(X0,multiply(inverse(X3),X3)))),
inference(forward_demodulation,[],[f349972,f248065]) ).
fof(f354056,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f352983,f253314]) ).
fof(f385186,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1)))))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),multiply(inverse(multiply(inverse(multiply(X3,X4)),inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1))))))),X5)),
inference(forward_demodulation,[],[f29,f341139]) ).
fof(f385187,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1)))))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),multiply(multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X1),X1)))),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385186,f341139]) ).
fof(f385188,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(inverse(inverse(multiply(multiply(X1,multiply(inverse(X1),X1)),X0))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(multiply(X1,multiply(inverse(X1),X1)),X0)))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),multiply(multiply(inverse(multiply(multiply(X1,multiply(inverse(X1),X1)),X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385187,f347401]) ).
fof(f385189,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(inverse(inverse(multiply(X1,X0))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385188,f252998]) ).
fof(f385190,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))),inverse(multiply(X1,X0)))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385189,f347401]) ).
fof(f385191,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1)),X2)),X0)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385190,f354056]) ).
fof(f385192,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),multiply(multiply(X2,multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1)),X2)),X0))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385191,f341139]) ).
fof(f385193,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),multiply(multiply(X2,multiply(inverse(X2),X2)),multiply(multiply(inverse(X2),multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1)),X0))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385192,f341255]) ).
fof(f385194,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),multiply(multiply(X2,multiply(inverse(X2),X2)),multiply(multiply(inverse(X2),multiply(inverse(multiply(X1,X0)),X1)),X0))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385193,f253616]) ).
fof(f385195,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),multiply(multiply(X2,multiply(inverse(X2),X2)),multiply(multiply(inverse(X2),inverse(X0)),X0))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385194,f253954]) ).
fof(f385196,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),multiply(multiply(X2,multiply(inverse(X2),X2)),inverse(X2))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385195,f266928]) ).
fof(f385197,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(multiply(X1,X0),multiply(X2,inverse(X2))),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385196,f252998]) ).
fof(f385198,plain,
! [X3,X0,X1,X4,X5] : multiply(X3,inverse(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = multiply(multiply(X1,X0),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385197,f254379]) ).
fof(f385199,plain,
! [X3,X0,X1,X4,X5] : multiply(X3,multiply(multiply(X4,multiply(inverse(X4),X4)),X5)) = multiply(multiply(X1,X0),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385198,f341139]) ).
fof(f385200,plain,
! [X3,X0,X1,X4,X5] : multiply(X3,multiply(X4,X5)) = multiply(multiply(X1,X0),multiply(multiply(inverse(multiply(X1,X0)),multiply(X3,X4)),X5)),
inference(forward_demodulation,[],[f385199,f252998]) ).
fof(f385828,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(multiply(inverse(X0),X0),X3)),
inference(superposition,[],[f385200,f1810]) ).
fof(f386377,plain,
! [X2,X3,X1] : multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
inference(forward_demodulation,[],[f385828,f247676]) ).
fof(f406197,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f386377]) ).
fof(f406452,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f406197]) ).
fof(f406453,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f406452]) ).
fof(f409573,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f247676]) ).
fof(f409574,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f409573]) ).
fof(f409575,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f1810]) ).
fof(f409576,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f409575]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s232000,plain,
spl0_1,
inference(sat_conversion,[],[f406453]) ).
cnf(s232220,plain,
spl0_2,
inference(sat_conversion,[],[f409574]) ).
cnf(s232221,plain,
spl0_3,
inference(sat_conversion,[],[f409576]) ).
cnf(s232222,plain,
$false,
inference(rat,[],[s4,s232221,s232220,s232000]) ).
fof(f409577,plain,
$false,
inference(avatar_sat_refutation,[],[s232222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP049-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:20:15 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.90/4.20 % (1386573)Will run a generic schedule for satisfiability detection.
% 26.90/4.20 % (1386580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3172004200:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.90/4.20 % (1386579)% WARNING: option uhcvi not known.
% 26.90/4.20 % (1386578)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3471977280_2999 on theBenchmark for (2999ds/0Mi)
% 26.90/4.20 % (1386581)dis+10_1_sil=32000:sp=arity:random_seed=3739960817:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.90/4.20 % (1386582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2510971279:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.90/4.20 % (1386583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1497013371:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.90/4.20 % (1386584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2632767758:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.90/4.20 % (1386579)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=7145130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.90/4.20 % TRYING [1]
% 26.90/4.20 % TRYING [2]
% 26.90/4.20 % TRYING [3]
% 26.90/4.20 % (1386581)Instruction limit reached!
% 26.90/4.20 % (1386581)------------------------------
% 26.90/4.20 % (1386581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.90/4.20 % (1386581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.90/4.20 % (1386581)CaDiCaL version: 2.1.3
% 26.90/4.20 % (1386581)Termination reason: Instruction limit
% 26.90/4.20 % (1386581)Termination phase: Saturation
% 26.90/4.20 % (1386581)Time elapsed: 0.056 s
% 26.90/4.20 % (1386581)Peak memory usage: 12 MB
% 26.90/4.20 % (1386581)Instructions burned: 105 (million)
% 26.90/4.20 % (1386582)Instruction limit reached!
% 26.90/4.20 % (1386582)------------------------------
% 26.90/4.20 % (1386582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.90/4.20 % (1386582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.90/4.20 % (1386582)CaDiCaL version: 2.1.3
% 26.90/4.20 % (1386582)Termination reason: Instruction limit
% 26.90/4.20 % (1386582)Termination phase: Saturation
% 26.90/4.20 % (1386582)Time elapsed: 0.068 s
% 26.90/4.20 % (1386582)Peak memory usage: 12 MB
% 26.90/4.20 % (1386582)Instructions burned: 116 (million)
% 26.90/4.20 % TRYING [4]
% 26.90/4.20 % (1386583)Instruction limit reached!
% 26.90/4.20 % (1386583)------------------------------
% 26.90/4.20 % (1386583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.90/4.20 % (1386583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.90/4.20 % (1386583)CaDiCaL version: 2.1.3
% 26.90/4.20 % (1386583)Termination reason: Instruction limit
% 26.90/4.20 % (1386583)Termination phase: Saturation
% 26.90/4.20 % (1386583)Time elapsed: 0.076 s
% 26.90/4.20 % (1386583)Peak memory usage: 13 MB
% 26.90/4.20 % (1386583)Instructions burned: 131 (million)
% 26.90/4.20 % (1386592)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=810724486:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.90/4.20 % TRYING [1]
% 26.90/4.20 % TRYING [2]
% 26.90/4.20 % TRYING [3]
% 26.90/4.20 % (1386593)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=451178206:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 26.90/4.20 % (1386595)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4195132341:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.90/4.20 % (1386584)Instruction limit reached!
% 26.90/4.20 % (1386584)------------------------------
% 26.90/4.20 % (1386584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.90/4.20 % (1386584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.90/4.20 % (1386584)CaDiCaL version: 2.1.3
% 26.90/4.20 % (1386584)Termination reason: Instruction limit
% 26.90/4.20 % (1386584)Termination phase: Saturation
% 26.90/4.20 % (1386584)Time elapsed: 0.098 s
% 26.90/4.20 % (1386584)Peak memory usage: 13 MB
% 26.90/4.20 % (1386584)Instructions burned: 160 (million)
% 26.90/4.20 % (1386598)ott-21_1_sil=16000:fs=off:random_seed=1965712539:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.90/4.20 % TRYING [4]
% 26.90/4.20 % (1386593)Instruction limit reached!
% 26.90/4.20 % (1386593)------------------------------
% 26.90/4.20 % (1386593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.90/4.20 % (1386593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.66/7.68 % (1386593)CaDiCaL version: 2.1.3
% 50.66/7.68 % (1386593)Termination reason: Instruction limit
% 50.66/7.68 % (1386593)Termination phase: Saturation
% 50.66/7.68 % (1386593)Time elapsed: 0.074 s
% 50.66/7.68 % (1386593)Peak memory usage: 13 MB
% 50.66/7.68 % (1386593)Instructions burned: 132 (million)
% 50.66/7.68 % (1386600)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2050163551:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 50.66/7.68 % (1386598)Instruction limit reached!
% 50.66/7.68 % (1386598)------------------------------
% 50.66/7.68 % (1386598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.66/7.68 % (1386598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.66/7.68 % (1386598)CaDiCaL version: 2.1.3
% 50.66/7.68 % (1386598)Termination reason: Instruction limit
% 50.66/7.68 % (1386598)Termination phase: Saturation
% 50.66/7.68 % (1386598)Time elapsed: 0.091 s
% 50.66/7.68 % (1386598)Peak memory usage: 12 MB
% 50.66/7.68 % (1386598)Instructions burned: 181 (million)
% 50.66/7.68 % (1386602)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2691064702:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 50.66/7.68 % TRYING [1]
% 50.66/7.68 % TRYING [2]
% 50.66/7.68 % TRYING [3]
% 50.66/7.68 % TRYING [4]
% 50.66/7.68 % (1386600)Instruction limit reached!
% 50.66/7.68 % (1386600)------------------------------
% 50.66/7.68 % (1386600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.66/7.68 % (1386600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.66/7.68 % (1386600)CaDiCaL version: 2.1.3
% 50.66/7.68 % (1386600)Termination reason: Instruction limit
% 50.66/7.68 % (1386600)Termination phase: Saturation
% 50.66/7.68 % (1386600)Time elapsed: 0.235 s
% 50.66/7.68 % (1386600)Peak memory usage: 15 MB
% 50.66/7.68 % (1386600)Instructions burned: 478 (million)
% 50.66/7.68 % (1386595)Instruction limit reached!
% 50.66/7.68 % (1386595)------------------------------
% 50.66/7.68 % (1386595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.66/7.68 % (1386595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.66/7.68 % (1386595)CaDiCaL version: 2.1.3
% 50.66/7.68 % (1386595)Termination reason: Instruction limit
% 50.66/7.68 % (1386595)Termination phase: Saturation
% 50.66/7.68 % (1386595)Time elapsed: 0.341 s
% 50.66/7.68 % (1386595)Peak memory usage: 17 MB
% 50.66/7.68 % (1386595)Instructions burned: 686 (million)
% 50.66/7.68 % (1386604)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3500532209:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 50.66/7.68 % (1386605)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=521176200:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 50.66/7.68 % TRYING [14]
% 50.66/7.68 % (1386592)Instruction limit reached!
% 50.66/7.68 % (1386592)------------------------------
% 50.66/7.68 % (1386592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.66/7.68 % (1386592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.66/7.68 % (1386592)CaDiCaL version: 2.1.3
% 50.66/7.68 % (1386592)Termination reason: Instruction limit
% 50.66/7.68 % (1386592)Termination phase: Finite model building SAT solving
% 50.66/7.68 % (1386592)Time elapsed: 0.429 s
% 50.66/7.68 % (1386592)Peak memory usage: 12 MB
% 50.66/7.68 % (1386592)Instructions burned: 714 (million)
% 50.66/7.68 % (1386608)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3345699060:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 50.66/7.68 % (1386605)Instruction limit reached!
% 50.66/7.68 % (1386605)------------------------------
% 50.66/7.68 % (1386605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.66/7.68 % (1386605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.66/7.68 % (1386605)CaDiCaL version: 2.1.3
% 50.66/7.68 % (1386605)Termination reason: Instruction limit
% 50.66/7.68 % (1386605)Termination phase: Finite model building constraint generation
% 50.66/7.68 % (1386605)Time elapsed: 0.317 s
% 50.66/7.68 % (1386605)Peak memory usage: 79 MB
% 50.66/7.68 % (1386605)Instructions burned: 890 (million)
% 50.66/7.68 % (1386602)Instruction limit reached!
% 50.66/7.68 % (1386602)------------------------------
% 50.66/7.68 % (1386602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.66/7.68 % (1386602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386602)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386602)Termination reason: Instruction limit
% 50.47/11.61 % (1386602)Termination phase: Finite model building SAT solving
% 50.47/11.61 % (1386602)Time elapsed: 0.556 s
% 50.47/11.61 % (1386602)Peak memory usage: 11 MB
% 50.47/11.61 % (1386602)Instructions burned: 866 (million)
% 50.47/11.61 % (1386610)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2676153945:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 50.47/11.61 % (1386611)fmb+10_1_sil=64000:random_seed=2266655584:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 50.47/11.61 % TRYING [1]
% 50.47/11.61 % TRYING [2]
% 50.47/11.61 % TRYING [3]
% 50.47/11.61 % TRYING [4]
% 50.47/11.61 % (1386608)Instruction limit reached!
% 50.47/11.61 % (1386608)------------------------------
% 50.47/11.61 % (1386608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386608)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386608)Termination reason: Instruction limit
% 50.47/11.61 % (1386608)Termination phase: Saturation
% 50.47/11.61 % (1386608)Time elapsed: 0.410 s
% 50.47/11.61 % (1386608)Peak memory usage: 18 MB
% 50.47/11.61 % (1386608)Instructions burned: 692 (million)
% 50.47/11.61 % (1386614)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=911467065:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 50.47/11.61 % TRYING [20]
% 50.47/11.61 % (1386604)Instruction limit reached!
% 50.47/11.61 % (1386604)------------------------------
% 50.47/11.61 % (1386604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386604)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386604)Termination reason: Instruction limit
% 50.47/11.61 % (1386604)Termination phase: Saturation
% 50.47/11.61 % (1386604)Time elapsed: 0.592 s
% 50.47/11.61 % (1386604)Peak memory usage: 26 MB
% 50.47/11.61 % (1386604)Instructions burned: 1180 (million)
% 50.47/11.61 % (1386616)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1917201366:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 50.47/11.61 % TRYING [8]
% 50.47/11.61 % (1386610)Instruction limit reached!
% 50.47/11.61 % (1386610)------------------------------
% 50.47/11.61 % (1386610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386610)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386610)Termination reason: Instruction limit
% 50.47/11.61 % (1386610)Termination phase: Saturation
% 50.47/11.61 % (1386610)Time elapsed: 0.422 s
% 50.47/11.61 % (1386610)Peak memory usage: 16 MB
% 50.47/11.61 % (1386610)Instructions burned: 879 (million)
% 50.47/11.61 % (1386618)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1080082498:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 50.47/11.61 % (1386616)Instruction limit reached!
% 50.47/11.61 % (1386616)------------------------------
% 50.47/11.61 % (1386616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386616)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386616)Termination reason: Instruction limit
% 50.47/11.61 % (1386616)Termination phase: Finite model building SAT solving
% 50.47/11.61 % (1386616)Time elapsed: 0.489 s
% 50.47/11.61 % (1386616)Peak memory usage: 38 MB
% 50.47/11.61 % (1386616)Instructions burned: 921 (million)
% 50.47/11.61 % (1386620)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=465407094:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 50.47/11.61 % TRYING [5]
% 50.47/11.61 % (1386620)Instruction limit reached!
% 50.47/11.61 % (1386620)------------------------------
% 50.47/11.61 % (1386620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386620)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386620)Termination reason: Instruction limit
% 50.47/11.61 % (1386620)Termination phase: Saturation
% 50.47/11.61 % (1386620)Time elapsed: 0.681 s
% 50.47/11.61 % (1386620)Peak memory usage: 26 MB
% 50.47/11.61 % (1386620)Instructions burned: 1472 (million)
% 50.47/11.61 % (1386622)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3617481889:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 50.47/11.61 % TRYING [77]
% 50.47/11.61 % TRYING [5]
% 50.47/11.61 % (1386618)Instruction limit reached!
% 50.47/11.61 % (1386618)------------------------------
% 50.47/11.61 % (1386618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386618)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386618)Termination reason: Instruction limit
% 50.47/11.61 % (1386618)Termination phase: Saturation
% 50.47/11.61 % (1386618)Time elapsed: 2.520 s
% 50.47/11.61 % (1386618)Peak memory usage: 44 MB
% 50.47/11.61 % (1386618)Instructions burned: 5133 (million)
% 50.47/11.61 % (1386624)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2714821282:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 50.47/11.61 % TRYING [16]
% 50.47/11.61 % (1386624)Instruction limit reached!
% 50.47/11.61 % (1386624)------------------------------
% 50.47/11.61 % (1386624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386624)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386624)Termination reason: Instruction limit
% 50.47/11.61 % (1386624)Termination phase: Finite model building constraint generation
% 50.47/11.61 % (1386624)Time elapsed: 0.769 s
% 50.47/11.61 % (1386624)Peak memory usage: 155 MB
% 50.47/11.61 % (1386624)Instructions burned: 2176 (million)
% 50.47/11.61 % (1386626)ott-2_1_sil=16000:newcnf=on:random_seed=2160134192:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 50.47/11.61 % (1386622)Instruction limit reached!
% 50.47/11.61 % (1386622)------------------------------
% 50.47/11.61 % (1386622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386622)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386622)Termination reason: Instruction limit
% 50.47/11.61 % (1386622)Termination phase: Finite model building constraint generation
% 50.47/11.61 % (1386622)Time elapsed: 2.355 s
% 50.47/11.61 % (1386622)Peak memory usage: 521 MB
% 50.47/11.61 % (1386622)Instructions burned: 6324 (million)
% 50.47/11.61 % (1386628)ott+10_1_sil=32000:tgt=ground:random_seed=2603856143:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 50.47/11.61 % (1386614)Instruction limit reached!
% 50.47/11.61 % (1386614)------------------------------
% 50.47/11.61 % (1386614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386614)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386614)Termination reason: Instruction limit
% 50.47/11.61 % (1386614)Termination phase: Finite model building constraint generation
% 50.47/11.61 % (1386614)Time elapsed: 3.819 s
% 50.47/11.61 % (1386614)Peak memory usage: 658 MB
% 50.47/11.61 % (1386614)Instructions burned: 9517 (million)
% 50.47/11.61 % (1386630)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3331563245:i=54282_2951 on theBenchmark for (2951ds/54282Mi)
% 50.47/11.61 % TRYING [1]
% 50.47/11.61 % TRYING [2]
% 50.47/11.61 % TRYING [3]
% 50.47/11.61 % TRYING [4]
% 50.47/11.61 % (1386626)Instruction limit reached!
% 50.47/11.61 % (1386626)------------------------------
% 50.47/11.61 % (1386626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386626)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386626)Termination reason: Instruction limit
% 50.47/11.61 % (1386626)Termination phase: Saturation
% 50.47/11.61 % (1386626)Time elapsed: 0.484 s
% 50.47/11.61 % (1386626)Peak memory usage: 20 MB
% 50.47/11.61 % (1386626)Instructions burned: 869 (million)
% 50.47/11.61 % (1386632)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1754113159:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 50.47/11.61 % TRYING [5]
% 50.47/11.61 % (1386632)Instruction limit reached!
% 50.47/11.61 % (1386632)------------------------------
% 50.47/11.61 % (1386632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386632)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386632)Termination reason: Instruction limit
% 50.47/11.61 % (1386632)Termination phase: Saturation
% 50.47/11.61 % (1386632)Time elapsed: 1.692 s
% 50.47/11.61 % (1386632)Peak memory usage: 31 MB
% 50.47/11.61 % (1386632)Instructions burned: 3512 (million)
% 50.47/11.61 % (1386634)dis+21_1_sil=32000:sas=cadical:random_seed=846872179:i=3773:amm=off_2931 on theBenchmark for (2931ds/3773Mi)
% 50.47/11.61 % (1386628)Instruction limit reached!
% 50.47/11.61 % (1386628)------------------------------
% 50.47/11.61 % (1386628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386628)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386628)Termination reason: Instruction limit
% 50.47/11.61 % (1386628)Termination phase: Saturation
% 50.47/11.61 % (1386628)Time elapsed: 2.540 s
% 50.47/11.61 % (1386628)Peak memory usage: 48 MB
% 50.47/11.61 % (1386628)Instructions burned: 5115 (million)
% 50.47/11.61 % (1386636)ott+11_1_sil=16000:gs=on:random_seed=4085875059:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2927 on theBenchmark for (2927ds/2251Mi)
% 50.47/11.61 % (1386636)Instruction limit reached!
% 50.47/11.61 % (1386636)------------------------------
% 50.47/11.61 % (1386636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386636)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386636)Termination reason: Instruction limit
% 50.47/11.61 % (1386636)Termination phase: Saturation
% 50.47/11.61 % (1386636)Time elapsed: 1.262 s
% 50.47/11.61 % (1386636)Peak memory usage: 37 MB
% 50.47/11.61 % (1386636)Instructions burned: 2252 (million)
% 50.47/11.61 % (1386638)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3198356397:fmbsr=1.6:i=67534_2914 on theBenchmark for (2914ds/67534Mi)
% 50.47/11.61 % TRYING [7]
% 50.47/11.61 % (1386634)Instruction limit reached!
% 50.47/11.61 % (1386634)------------------------------
% 50.47/11.61 % (1386634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386634)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386634)Termination reason: Instruction limit
% 50.47/11.61 % (1386634)Termination phase: Saturation
% 50.47/11.61 % (1386634)Time elapsed: 1.816 s
% 50.47/11.61 % (1386634)Peak memory usage: 32 MB
% 50.47/11.61 % (1386634)Instructions burned: 3773 (million)
% 50.47/11.61 % (1386640)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=427523953:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2913 on theBenchmark for (2913ds/4591Mi)
% 50.47/11.61 % (1386640)Instruction limit reached!
% 50.47/11.61 % (1386640)------------------------------
% 50.47/11.61 % (1386640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386640)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386640)Termination reason: Instruction limit
% 50.47/11.61 % (1386640)Termination phase: Saturation
% 50.47/11.61 % (1386640)Time elapsed: 1.762 s
% 50.47/11.61 % (1386640)Peak memory usage: 30 MB
% 50.47/11.61 % (1386640)Instructions burned: 4594 (million)
% 50.47/11.61 % (1386642)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4010550152:i=29340_2895 on theBenchmark for (2895ds/29340Mi)
% 50.47/11.61 % (1386580) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1386573-1386580"...
% 50.47/11.61 % (1386580)...printing done.
% 50.47/11.61 % (1386580)Refutation found. Thanks to Tanya!
% 50.47/11.61 % SZS status Unsatisfiable for theBenchmark
% 50.47/11.61 % SZS output start Proof for theBenchmark
% See solution above
% 50.47/11.61 % (1386580)------------------------------
% 50.47/11.61 % (1386580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.47/11.61 % (1386580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.47/11.61 % (1386580)CaDiCaL version: 2.1.3
% 50.47/11.61 % (1386580)Termination reason: Refutation
% 50.47/11.61 % (1386580)Time elapsed: 11.149 s
% 50.47/11.61 % (1386580)Peak memory usage: 201 MB
% 50.47/11.61 % (1386580)Instructions burned: 55179 (million)
% 50.47/11.61 % (1386573)Success in time 11.201 s
% 50.47/11.61 % Vampire exiting
%------------------------------------------------------------------------------