%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL038-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:50:59 AM UTC 2026
% Result : Unsatisfiable 99.09s 28.75s
% Output : Refutation 198.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 112
% Number of leaves : 5
% Syntax : Number of formulae : 184 ( 181 unt; 1 def)
% Number of atoms : 187 ( 177 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 699 ( 0 sgn 699 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f3,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f5,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_1) ).
fof(f7,plain,
true != is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(reorient_equations,[],[f6]) ).
fof(f9,definition,
( spl0_1
<=> true = is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( true != is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f9]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(implies(X2,X0),implies(X3,X0))),true),true),
inference(superposition,[],[f3,f5]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true),
inference(superposition,[],[f3,f5]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0))),X4)),true,is_a_theorem(X4),true),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(implies(X2,X0),implies(X3,X0))),true),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X2,X0),implies(X3,X0)),implies(X0,X1)),implies(X4,implies(X0,X1)))),true),
inference(superposition,[],[f17,f5]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(X2,X0),implies(X3,X0)),implies(X0,X1)),implies(X4,implies(X0,X1)))),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,implies(X1,X3)),implies(implies(X0,X1),implies(X2,X1))),implies(X5,implies(implies(X0,X1),implies(X2,X1))))),true),
inference(superposition,[],[f17,f22]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))),true,is_a_theorem(implies(X4,implies(X1,X3))),true),true),
inference(superposition,[],[f3,f22]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))),true,is_a_theorem(implies(X4,implies(X1,X3))),true),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,implies(X1,X3)),implies(implies(X0,X1),implies(X2,X1))),implies(X5,implies(implies(X0,X1),implies(X2,X1))))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f85,plain,
! [X2,X3,X0,X4] : true = ifeq(true,true,is_a_theorem(implies(X4,implies(implies(implies(X0,X2),X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f30]) ).
fof(f96,plain,
! [X2,X3,X0,X4] : true = is_a_theorem(implies(X4,implies(implies(implies(X0,X2),X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f146,plain,
! [X6,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,X5),X4),implies(X6,X4))),true),
inference(superposition,[],[f16,f96]) ).
fof(f160,plain,
! [X6,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,X5),X4),implies(X6,X4))),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f164,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(X1,implies(X0,X1)))),true),
inference(superposition,[],[f29,f160]) ).
fof(f166,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X2,X0),implies(X0,X1)),implies(X3,implies(X0,X1)))),true),
inference(superposition,[],[f17,f160]) ).
fof(f179,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X2,X0),implies(X0,X1)),implies(X3,implies(X0,X1)))),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f180,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(X1,implies(X0,X1)))),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f185,plain,
! [X4,X5] : true = ifeq(true,true,is_a_theorem(implies(X4,implies(X5,X4))),true),
inference(superposition,[],[f16,f180]) ).
fof(f199,plain,
! [X4,X5] : true = is_a_theorem(implies(X4,implies(X5,X4))),
inference(forward_demodulation,[],[f185,f1]) ).
fof(f204,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X2,implies(X0,X1)),X0),implies(X3,X0))),true),
inference(superposition,[],[f17,f199]) ).
fof(f220,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X2,implies(X0,X1)),X0),implies(X3,X0))),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X3,implies(X1,X2)),implies(X0,X1)),implies(X4,implies(X0,X1)))),true),
inference(superposition,[],[f17,f179]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(X3,implies(X1,X2)),implies(X0,X1)),implies(X4,implies(X0,X1)))),
inference(forward_demodulation,[],[f224,f1]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,implies(X3,X1)),implies(X0,implies(X1,X2))),implies(X5,implies(X0,implies(X1,X2))))),true),
inference(superposition,[],[f17,f237]) ).
fof(f241,plain,
! [X2,X3,X0,X4] : true = ifeq(true,true,is_a_theorem(implies(X4,implies(implies(implies(implies(X2,X0),X3),X0),implies(X2,X0)))),true),
inference(superposition,[],[f16,f237]) ).
fof(f254,plain,
! [X2,X3,X0,X4] : true = is_a_theorem(implies(X4,implies(implies(implies(implies(X2,X0),X3),X0),implies(X2,X0)))),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,implies(X3,X1)),implies(X0,implies(X1,X2))),implies(X5,implies(X0,implies(X1,X2))))),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f765,plain,
! [X6,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X4,X5),X6),X5),implies(X4,X5))),true),
inference(superposition,[],[f16,f254]) ).
fof(f785,plain,
! [X6,X4,X5] : true = is_a_theorem(implies(implies(implies(implies(X4,X5),X6),X5),implies(X4,X5))),
inference(forward_demodulation,[],[f765,f1]) ).
fof(f796,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2)))),true),
inference(superposition,[],[f17,f785]) ).
fof(f817,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2)))),
inference(forward_demodulation,[],[f796,f1]) ).
fof(f824,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),implies(implies(X0,X1),X2))),true,is_a_theorem(implies(X3,implies(implies(X0,X1),X2))),true),true),
inference(superposition,[],[f3,f817]) ).
fof(f840,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),implies(implies(X0,X1),X2))),true,is_a_theorem(implies(X3,implies(implies(X0,X1),X2))),true),
inference(forward_demodulation,[],[f824,f1]) ).
fof(f1437,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(implies(implies(X0,X1),X0),X0))),true),
inference(superposition,[],[f840,f160]) ).
fof(f1526,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(implies(implies(X0,X1),X0),X0))),
inference(forward_demodulation,[],[f1437,f1]) ).
fof(f1636,plain,
! [X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,X5),X4),X4)),true),
inference(superposition,[],[f16,f1526]) ).
fof(f1663,plain,
! [X4,X5] : true = is_a_theorem(implies(implies(implies(X4,X5),X4),X4)),
inference(forward_demodulation,[],[f1636,f1]) ).
fof(f1677,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),true),
inference(superposition,[],[f17,f1663]) ).
fof(f1707,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f1677,f1]) ).
fof(f1712,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),true),
inference(superposition,[],[f840,f1707]) ).
fof(f1729,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true),
inference(superposition,[],[f3,f1707]) ).
fof(f1738,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))),X3)),true,is_a_theorem(X3),true),
inference(forward_demodulation,[],[f1729,f1]) ).
fof(f1744,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
inference(forward_demodulation,[],[f1712,f1]) ).
fof(f1945,plain,
! [X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(X4,implies(X4,X5)),implies(X4,X5))),true),
inference(superposition,[],[f16,f1744]) ).
fof(f1976,plain,
! [X4,X5] : true = is_a_theorem(implies(implies(X4,implies(X4,X5)),implies(X4,X5))),
inference(forward_demodulation,[],[f1945,f1]) ).
fof(f1997,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X0,X1))),true,is_a_theorem(implies(X0,X1)),true),true),
inference(superposition,[],[f3,f1976]) ).
fof(f2019,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(X0,X1))),true,is_a_theorem(implies(X0,X1)),true),
inference(forward_demodulation,[],[f1997,f1]) ).
fof(f2028,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),X1)),true),
inference(superposition,[],[f2019,f220]) ).
fof(f2122,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),X1)),
inference(forward_demodulation,[],[f2028,f1]) ).
fof(f3795,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X0,implies(X1,X2))),implies(X3,implies(X0,implies(X1,X2))))),true),
inference(superposition,[],[f17,f2122]) ).
fof(f3836,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(X1,implies(X0,implies(X1,X2))),implies(X3,implies(X0,implies(X1,X2))))),
inference(forward_demodulation,[],[f3795,f1]) ).
fof(f3851,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2)))),true),
inference(superposition,[],[f2019,f3836]) ).
fof(f3884,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f3851,f1]) ).
fof(f3990,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,X0),implies(implies(implies(X0,X1),X2),X0))),true),
inference(superposition,[],[f16,f3884]) ).
fof(f3998,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,implies(X0,X2)))),true,is_a_theorem(implies(X1,implies(X0,X2))),true),true),
inference(superposition,[],[f3,f3884]) ).
fof(f4027,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(X1,implies(X0,X2)))),true,is_a_theorem(implies(X1,implies(X0,X2))),true),
inference(forward_demodulation,[],[f3998,f1]) ).
fof(f4028,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,X0),implies(implies(implies(X0,X1),X2),X0))),
inference(forward_demodulation,[],[f3990,f1]) ).
fof(f4044,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X2,X0),implies(X3,X0)),X4),implies(implies(X0,X1),X2)),implies(implies(X2,X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f4028]) ).
fof(f4082,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(implies(X2,X0),implies(X3,X0)),X4),implies(implies(X0,X1),X2)),implies(implies(X2,X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f4044,f1]) ).
fof(f5148,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0))),true,is_a_theorem(implies(implies(X0,X1),implies(X2,X1))),true),true),
inference(superposition,[],[f3,f4082]) ).
fof(f5180,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0))),true,is_a_theorem(implies(implies(X0,X1),implies(X2,X1))),true),
inference(forward_demodulation,[],[f5148,f1]) ).
fof(f5201,plain,
! [X2,X3,X0,X4] : true = ifeq(true,true,is_a_theorem(implies(X4,implies(implies(implies(X2,X3),X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f255]) ).
fof(f5249,plain,
! [X2,X3,X0,X4] : true = is_a_theorem(implies(X4,implies(implies(implies(X2,X3),X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f5201,f1]) ).
fof(f5303,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),true),
inference(superposition,[],[f2019,f5249]) ).
fof(f5339,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(forward_demodulation,[],[f5303,f1]) ).
fof(f5387,plain,
! [X2,X3,X0] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(implies(X2,X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f5339]) ).
fof(f5431,plain,
! [X2,X3,X0] : true = is_a_theorem(implies(X2,implies(implies(X2,X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f5387,f1]) ).
fof(f5457,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),implies(X4,X0))),true),
inference(superposition,[],[f17,f5431]) ).
fof(f5520,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),implies(X4,X0))),
inference(forward_demodulation,[],[f5457,f1]) ).
fof(f7082,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,X0),implies(implies(implies(X0,X1),X2),implies(X3,X2))),implies(X5,implies(implies(implies(X0,X1),X2),implies(X3,X2))))),true),
inference(superposition,[],[f17,f5520]) ).
fof(f7138,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,X0),implies(implies(implies(X0,X1),X2),implies(X3,X2))),implies(X5,implies(implies(implies(X0,X1),X2),implies(X3,X2))))),
inference(forward_demodulation,[],[f7082,f1]) ).
fof(f11969,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X5,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(X0,X1)),implies(X6,implies(X0,X1)))),true),
inference(superposition,[],[f17,f7138]) ).
fof(f12047,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(implies(implies(implies(X5,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(X0,X1)),implies(X6,implies(X0,X1)))),
inference(forward_demodulation,[],[f11969,f1]) ).
fof(f16006,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(implies(X1,X4),X3),implies(X2,X3)))),true),
inference(superposition,[],[f5180,f12047]) ).
fof(f16157,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(implies(X1,X4),X3),implies(X2,X3)))),
inference(forward_demodulation,[],[f16006,f1]) ).
fof(f18946,plain,
! [X2,X3,X0,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X2,X4),implies(X3,X0)),implies(implies(X2,X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f16157]) ).
fof(f19024,plain,
! [X2,X3,X0,X4] : true = is_a_theorem(implies(implies(implies(X2,X4),implies(X3,X0)),implies(implies(X2,X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f18946,f1]) ).
fof(f19092,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X3),implies(X2,X3)),implies(X0,X1)),implies(X4,implies(X0,X1)))),true),
inference(superposition,[],[f17,f19024]) ).
fof(f19121,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),implies(X2,X3))),true,is_a_theorem(implies(implies(X0,X3),implies(X2,X3))),true),true),
inference(superposition,[],[f3,f19024]) ).
fof(f19175,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),implies(X2,X3))),true,is_a_theorem(implies(implies(X0,X3),implies(X2,X3))),true),
inference(forward_demodulation,[],[f19121,f1]) ).
fof(f19184,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(X0,X3),implies(X2,X3)),implies(X0,X1)),implies(X4,implies(X0,X1)))),
inference(forward_demodulation,[],[f19092,f1]) ).
fof(f19302,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X3,X2)),implies(implies(implies(X0,X1),X2),implies(X3,X2)))),true),
inference(superposition,[],[f19175,f5431]) ).
fof(f19456,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X3,X2)),implies(implies(implies(X0,X1),X2),implies(X3,X2)))),
inference(forward_demodulation,[],[f19302,f1]) ).
fof(f19546,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(implies(X0,X3),X2),implies(X1,X2))),true),true),
inference(superposition,[],[f3,f19456]) ).
fof(f19599,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(implies(X0,X3),X2),implies(X1,X2))),true),
inference(forward_demodulation,[],[f19546,f1]) ).
fof(f19634,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X3),X0),implies(X2,X0))),true),
inference(superposition,[],[f19599,f160]) ).
fof(f19970,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X3),X0),implies(X2,X0))),
inference(forward_demodulation,[],[f19634,f1]) ).
fof(f20526,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,implies(X0,X3)),implies(implies(X0,X1),implies(X2,X1))),implies(X5,implies(implies(X0,X1),implies(X2,X1))))),true),
inference(superposition,[],[f17,f19184]) ).
fof(f20527,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(X0,implies(implies(X0,X1),X1)))),true),
inference(superposition,[],[f1738,f19184]) ).
fof(f20620,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(X0,implies(implies(X0,X1),X1)))),
inference(forward_demodulation,[],[f20527,f1]) ).
fof(f20621,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,implies(X0,X3)),implies(implies(X0,X1),implies(X2,X1))),implies(X5,implies(implies(X0,X1),implies(X2,X1))))),
inference(forward_demodulation,[],[f20526,f1]) ).
fof(f20735,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),true),
inference(superposition,[],[f2019,f20620]) ).
fof(f20793,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(forward_demodulation,[],[f20735,f1]) ).
fof(f20909,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X2),X1),implies(implies(X0,X1),X1))),true),
inference(superposition,[],[f19599,f20793]) ).
fof(f20976,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X2),X1),implies(implies(X0,X1),X1))),
inference(forward_demodulation,[],[f20909,f1]) ).
fof(f21682,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X2),X2),implies(X0,X1)),implies(X3,implies(X0,X1)))),true),
inference(superposition,[],[f17,f20976]) ).
fof(f21782,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X2),X2),implies(X0,X1)),implies(X3,implies(X0,X1)))),
inference(forward_demodulation,[],[f21682,f1]) ).
fof(f21867,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(X0,X2)),implies(X0,X2))),true),
inference(superposition,[],[f2019,f21782]) ).
fof(f21925,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(X0,X2)),implies(X0,X2))),
inference(forward_demodulation,[],[f21867,f1]) ).
fof(f22758,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f19175,f21925]) ).
fof(f22888,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f22758,f1]) ).
fof(f22967,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),true),
inference(superposition,[],[f3,f22888]) ).
fof(f23021,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),
inference(forward_demodulation,[],[f22967,f1]) ).
fof(f26144,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),true),
inference(superposition,[],[f5180,f20621]) ).
fof(f26289,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(forward_demodulation,[],[f26144,f1]) ).
fof(f29142,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),true),
inference(superposition,[],[f23021,f26289]) ).
fof(f29267,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f29142,f1]) ).
fof(f29370,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X3),implies(X2,X1)),implies(X0,implies(X2,X1)))),true),
inference(superposition,[],[f19599,f29267]) ).
fof(f29436,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X3),implies(X2,X1)),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f29370,f1]) ).
fof(f30655,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,implies(X3,X1)),implies(implies(X0,X1),X2)),implies(X4,implies(implies(X0,X1),X2)))),true),
inference(superposition,[],[f17,f29436]) ).
fof(f30762,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(X0,implies(X3,X1)),implies(implies(X0,X1),X2)),implies(X4,implies(implies(X0,X1),X2)))),
inference(forward_demodulation,[],[f30655,f1]) ).
fof(f42087,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,implies(implies(X0,X2),X3)),implies(X0,implies(X1,X2))),implies(X5,implies(X0,implies(X1,X2))))),true),
inference(superposition,[],[f17,f30762]) ).
fof(f42216,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,implies(implies(X0,X2),X3)),implies(X0,implies(X1,X2))),implies(X5,implies(X0,implies(X1,X2))))),
inference(forward_demodulation,[],[f42087,f1]) ).
fof(f42271,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X0,X2),X3))),true),
inference(superposition,[],[f5180,f42216]) ).
fof(f42448,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X0,X2),X3))),
inference(forward_demodulation,[],[f42271,f1]) ).
fof(f42564,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)),true,is_a_theorem(implies(implies(X0,X2),X3)),true),true),
inference(superposition,[],[f3,f42448]) ).
fof(f42629,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)),true,is_a_theorem(implies(implies(X0,X2),X3)),true),
inference(forward_demodulation,[],[f42564,f1]) ).
fof(f97176,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X0),implies(implies(implies(X0,X1),X0),X2)),implies(X4,implies(implies(implies(X0,X1),X0),X2)))),true),
inference(superposition,[],[f17,f19970]) ).
fof(f97403,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(X3,X0),implies(implies(implies(X0,X1),X0),X2)),implies(X4,implies(implies(implies(X0,X1),X0),X2)))),
inference(forward_demodulation,[],[f97176,f1]) ).
fof(f97514,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X4,implies(implies(implies(X1,X2),X1),X3)),implies(X0,X1)),implies(X5,implies(X0,X1)))),true),
inference(superposition,[],[f17,f97403]) ).
fof(f97747,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(X4,implies(implies(implies(X1,X2),X1),X3)),implies(X0,X1)),implies(X5,implies(X0,X1)))),
inference(forward_demodulation,[],[f97514,f1]) ).
fof(f97835,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),X1),X2))),true),
inference(superposition,[],[f5180,f97747]) ).
fof(f98124,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),X1),X2))),
inference(forward_demodulation,[],[f97835,f1]) ).
fof(f98266,plain,
! [X2,X3,X0,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X2,X4),X2),implies(implies(X2,X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f98124]) ).
fof(f98434,plain,
! [X2,X3,X0,X4] : true = is_a_theorem(implies(implies(implies(X2,X4),X2),implies(implies(X2,X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f98266,f1]) ).
fof(f98613,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(implies(implies(X0,X1),X3),implies(X4,X3)))),true),
inference(superposition,[],[f42629,f98434]) ).
fof(f98658,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X2),implies(implies(implies(X0,X1),X0),X2))),true),
inference(superposition,[],[f4027,f98434]) ).
fof(f98778,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X2),implies(implies(implies(X0,X1),X0),X2))),
inference(forward_demodulation,[],[f98658,f1]) ).
fof(f98785,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(implies(implies(X0,X1),X3),implies(X4,X3)))),
inference(forward_demodulation,[],[f98613,f1]) ).
fof(f98969,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X3),X1),implies(implies(implies(X0,X2),X0),X1))),true),
inference(superposition,[],[f19599,f98778]) ).
fof(f99106,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X3),X1),implies(implies(implies(X0,X2),X0),X1))),
inference(forward_demodulation,[],[f98969,f1]) ).
fof(f105352,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X3),implies(implies(implies(implies(X0,X1),X2),X1),X3))),true),
inference(superposition,[],[f4027,f98785]) ).
fof(f105475,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),X3),implies(implies(implies(implies(X0,X1),X2),X1),X3))),
inference(forward_demodulation,[],[f105352,f1]) ).
fof(f110181,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),X4),X2),implies(implies(X2,X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f105475]) ).
fof(f110262,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(implies(implies(implies(X0,X1),X3),X1),X2)),true),true),
inference(superposition,[],[f3,f105475]) ).
fof(f110344,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(implies(implies(implies(X0,X1),X3),X1),X2)),true),
inference(forward_demodulation,[],[f110262,f1]) ).
fof(f110347,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),X4),X2),implies(implies(X2,X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f110181,f1]) ).
fof(f110493,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X2,X0),implies(X4,X0)),implies(implies(implies(X0,X1),X2),X3)),implies(X5,implies(implies(implies(X0,X1),X2),X3)))),true),
inference(superposition,[],[f17,f110347]) ).
fof(f110727,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(implies(implies(implies(implies(X2,X0),implies(X4,X0)),implies(implies(implies(X0,X1),X2),X3)),implies(X5,implies(implies(implies(X0,X1),X2),X3)))),
inference(forward_demodulation,[],[f110493,f1]) ).
fof(f140350,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X5,implies(implies(implies(X1,X3),X0),X4)),implies(implies(X0,X1),implies(X2,X1))),implies(X6,implies(implies(X0,X1),implies(X2,X1))))),true),
inference(superposition,[],[f17,f110727]) ).
fof(f140616,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(implies(implies(implies(X5,implies(implies(implies(X1,X3),X0),X4)),implies(implies(X0,X1),implies(X2,X1))),implies(X6,implies(implies(X0,X1),implies(X2,X1))))),
inference(forward_demodulation,[],[f140350,f1]) ).
fof(f140723,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(implies(X1,X4),X0),X3))),true),
inference(superposition,[],[f5180,f140616]) ).
fof(f141060,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(implies(X1,X4),X0),X3))),
inference(forward_demodulation,[],[f140723,f1]) ).
fof(f145342,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X3),X0),implies(X2,X1)))),true),
inference(superposition,[],[f23021,f141060]) ).
fof(f145494,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(implies(X1,X4),X0),X3)),true),true),
inference(superposition,[],[f3,f141060]) ).
fof(f145576,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(implies(X1,X4),X0),X3)),true),
inference(forward_demodulation,[],[f145494,f1]) ).
fof(f145635,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X3),X0),implies(X2,X1)))),
inference(forward_demodulation,[],[f145342,f1]) ).
fof(f147640,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X2,X1),X4),implies(X0,X1)),implies(X3,implies(X0,implies(X2,X1))))),true),
inference(superposition,[],[f145576,f19184]) ).
fof(f148138,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(X2,X1),X4),implies(X0,X1)),implies(X3,implies(X0,implies(X2,X1))))),
inference(forward_demodulation,[],[f147640,f1]) ).
fof(f151976,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X3,X1)),implies(X3,implies(X0,X1)))),true),
inference(superposition,[],[f2019,f148138]) ).
fof(f152063,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X3,X1)),implies(X3,implies(X0,X1)))),
inference(forward_demodulation,[],[f151976,f1]) ).
fof(f152467,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X1))),true,is_a_theorem(implies(X3,implies(X0,X1))),true),true),
inference(superposition,[],[f3,f152063]) ).
fof(f152550,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X1))),true,is_a_theorem(implies(X3,implies(X0,X1))),true),
inference(forward_demodulation,[],[f152467,f1]) ).
fof(f162169,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X3,X1)),implies(implies(implies(X1,X2),X0),implies(X3,X1)))),true),
inference(superposition,[],[f19175,f145635]) ).
fof(f162527,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X3,X1)),implies(implies(implies(X1,X2),X0),implies(X3,X1)))),
inference(forward_demodulation,[],[f162169,f1]) ).
fof(f162686,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,X0),X4),implies(implies(X0,X1),X2)),implies(implies(X2,X0),implies(X3,X0)))),true),
inference(superposition,[],[f16,f162527]) ).
fof(f162876,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(implies(implies(implies(implies(X3,X0),X4),implies(implies(X0,X1),X2)),implies(implies(X2,X0),implies(X3,X0)))),
inference(forward_demodulation,[],[f162686,f1]) ).
fof(f164659,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X4))),true,is_a_theorem(implies(implies(X4,X1),implies(X0,X1))),true),true),
inference(superposition,[],[f3,f162876]) ).
fof(f164744,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X4))),true,is_a_theorem(implies(implies(X4,X1),implies(X0,X1))),true),
inference(forward_demodulation,[],[f164659,f1]) ).
fof(f164889,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(implies(X0,X1),implies(X0,X2)))),true),
inference(superposition,[],[f164744,f99106]) ).
fof(f165675,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f164889,f1]) ).
fof(f165818,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X0),implies(X1,X2)))),true),
inference(superposition,[],[f42629,f165675]) ).
fof(f166015,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X0),implies(X1,X2)))),
inference(forward_demodulation,[],[f165818,f1]) ).
fof(f166183,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X3),X1),implies(implies(X2,X0),implies(X2,X1)))),true),
inference(superposition,[],[f110344,f166015]) ).
fof(f166475,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X3),X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[],[f166183,f1]) ).
fof(f187949,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),implies(X2,X1)))),true),
inference(superposition,[],[f152550,f166475]) ).
fof(f188350,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),implies(X2,X1)))),
inference(forward_demodulation,[],[f187949,f1]) ).
fof(f188393,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f11,f188350]) ).
fof(f188394,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f188393]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f188394]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f188395,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL038-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:17:52 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 82.85/12.56 % (337664)Detected a unit-equality problem, will run specialized UEQ schedule.
% 82.85/12.56 % (337673)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3731385564:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 82.85/12.56 % (337672)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2738615235:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 82.85/12.56 % (337669)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3245872195:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 82.85/12.56 % (337671)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=546595141:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 82.85/12.56 % (337670)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2481175198:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 82.85/12.56 % (337674)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=380284700:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 82.85/12.56 % (337675)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3868875039:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 82.85/12.56 % (337673)Instruction limit reached!
% 82.85/12.56 % (337673)------------------------------
% 82.85/12.56 % (337673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.85/12.56 % (337673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.85/12.56 % (337673)CaDiCaL version: 2.1.3
% 82.85/12.56 % (337673)Termination reason: Instruction limit
% 82.85/12.56 % (337673)Termination phase: Saturation
% 82.85/12.56 % (337673)Time elapsed: 0.058 s
% 82.85/12.56 % (337673)Peak memory usage: 89 MB
% 82.85/12.56 % (337673)Instructions burned: 181 (million)
% 82.85/12.56 % (337672)Instruction limit reached!
% 82.85/12.56 % (337672)------------------------------
% 82.85/12.56 % (337672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.85/12.56 % (337672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.85/12.56 % (337672)CaDiCaL version: 2.1.3
% 82.85/12.56 % (337672)Termination reason: Instruction limit
% 82.85/12.56 % (337672)Termination phase: Saturation
% 82.85/12.56 % (337672)Time elapsed: 0.086 s
% 82.85/12.56 % (337672)Peak memory usage: 88 MB
% 82.85/12.56 % (337672)Instructions burned: 136 (million)
% 82.85/12.56 % (337683)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=108674122:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 82.85/12.56 % (337674)Instruction limit reached!
% 82.85/12.56 % (337674)------------------------------
% 82.85/12.56 % (337674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.85/12.56 % (337674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.85/12.56 % (337674)CaDiCaL version: 2.1.3
% 82.85/12.56 % (337674)Termination reason: Instruction limit
% 82.85/12.56 % (337674)Termination phase: Saturation
% 82.85/12.56 % (337674)Time elapsed: 0.166 s
% 82.85/12.56 % (337674)Peak memory usage: 90 MB
% 82.85/12.56 % (337674)Instructions burned: 258 (million)
% 82.85/12.56 % (337684)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3688992465:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 82.85/12.56 % (337686)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4134891868:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 82.85/12.56 % (337686)Instruction limit reached!
% 82.85/12.56 % (337686)------------------------------
% 82.85/12.56 % (337686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.85/12.56 % (337686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.85/12.56 % (337686)CaDiCaL version: 2.1.3
% 82.85/12.56 % (337686)Termination reason: Instruction limit
% 82.85/12.56 % (337686)Termination phase: Saturation
% 82.85/12.56 % (337686)Time elapsed: 0.112 s
% 82.85/12.56 % (337686)Peak memory usage: 88 MB
% 82.85/12.56 % (337686)Instructions burned: 215 (million)
% 119.81/17.71 % (337689)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3018206094:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 119.81/17.71 % (337675)Instruction limit reached!
% 119.81/17.71 % (337675)------------------------------
% 119.81/17.71 % (337675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.81/17.71 % (337675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.71 % (337675)CaDiCaL version: 2.1.3
% 119.81/17.71 % (337675)Termination reason: Instruction limit
% 119.81/17.71 % (337675)Termination phase: Saturation
% 119.81/17.71 % (337675)Time elapsed: 0.681 s
% 119.81/17.71 % (337675)Peak memory usage: 97 MB
% 119.81/17.71 % (337675)Instructions burned: 1188 (million)
% 119.81/17.71 % (337689)Instruction limit reached!
% 119.81/17.71 % (337689)------------------------------
% 119.81/17.71 % (337689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.81/17.71 % (337689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.71 % (337689)CaDiCaL version: 2.1.3
% 119.81/17.71 % (337689)Termination reason: Instruction limit
% 119.81/17.71 % (337689)Termination phase: Saturation
% 119.81/17.71 % (337689)Time elapsed: 0.182 s
% 119.81/17.71 % (337689)Peak memory usage: 93 MB
% 119.81/17.71 % (337689)Instructions burned: 318 (million)
% 119.81/17.71 % (337691)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2886824483:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 119.81/17.71 % (337692)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3903926044:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 119.81/17.71 % (337683)Instruction limit reached!
% 119.81/17.71 % (337683)------------------------------
% 119.81/17.71 % (337683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.81/17.71 % (337683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.71 % (337683)CaDiCaL version: 2.1.3
% 119.81/17.71 % (337683)Termination reason: Instruction limit
% 119.81/17.71 % (337683)Termination phase: Saturation
% 119.81/17.71 % (337683)Time elapsed: 0.784 s
% 119.81/17.71 % (337683)Peak memory usage: 143 MB
% 119.81/17.71 % (337683)Instructions burned: 2054 (million)
% 119.81/17.71 % (337695)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=582304908:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 119.81/17.71 % (337692)Instruction limit reached!
% 119.81/17.71 % (337692)------------------------------
% 119.81/17.71 % (337692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.81/17.71 % (337692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.71 % (337692)CaDiCaL version: 2.1.3
% 119.81/17.71 % (337692)Termination reason: Instruction limit
% 119.81/17.71 % (337692)Termination phase: Saturation
% 119.81/17.71 % (337692)Time elapsed: 1.708 s
% 119.81/17.71 % (337692)Peak memory usage: 144 MB
% 119.81/17.71 % (337692)Instructions burned: 2836 (million)
% 119.81/17.71 % (337697)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1049157394:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2972 on theBenchmark for (2972ds/11832Mi)
% 119.81/17.72 % (337684)Instruction limit reached!
% 119.81/17.72 % (337684)------------------------------
% 119.81/17.72 % (337684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.81/17.72 % (337684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.72 % (337684)CaDiCaL version: 2.1.3
% 119.81/17.72 % (337684)Termination reason: Instruction limit
% 119.81/17.72 % (337684)Termination phase: Saturation
% 119.81/17.72 % (337684)Time elapsed: 2.998 s
% 119.81/17.72 % (337684)Peak memory usage: 159 MB
% 119.81/17.72 % (337684)Instructions burned: 4948 (million)
% 119.81/17.72 % (337699)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2858823232:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 119.81/17.72 % (337699)Instruction limit reached!
% 119.81/17.72 % (337699)------------------------------
% 119.81/17.72 % (337699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 195.78/28.42 % (337699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 195.78/28.42 % (337699)CaDiCaL version: 2.1.3
% 195.78/28.42 % (337699)Termination reason: Instruction limit
% 195.78/28.42 % (337699)Termination phase: Saturation
% 195.78/28.42 % (337699)Time elapsed: 1.454 s
% 195.78/28.42 % (337699)Peak memory usage: 140 MB
% 195.78/28.42 % (337699)Instructions burned: 2281 (million)
% 195.78/28.42 % (337701)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=2978144979:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2950 on theBenchmark for (2950ds/6225Mi)
% 195.78/28.42 % (337695)Instruction limit reached!
% 195.78/28.42 % (337695)------------------------------
% 195.78/28.42 % (337695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 195.78/28.42 % (337695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 195.78/28.42 % (337695)CaDiCaL version: 2.1.3
% 195.78/28.42 % (337695)Termination reason: Instruction limit
% 195.78/28.42 % (337695)Termination phase: Saturation
% 195.78/28.42 % (337695)Time elapsed: 4.768 s
% 195.78/28.42 % (337695)Peak memory usage: 237 MB
% 195.78/28.42 % (337695)Instructions burned: 14537 (million)
% 195.78/28.42 % (337703)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3689503436:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2940 on theBenchmark for (2940ds/21755Mi)
% 195.78/28.42 % (337691)Instruction limit reached!
% 195.78/28.42 % (337691)------------------------------
% 195.78/28.42 % (337691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 195.78/28.42 % (337691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 195.78/28.42 % (337691)CaDiCaL version: 2.1.3
% 195.78/28.42 % (337691)Termination reason: Instruction limit
% 195.78/28.42 % (337691)Termination phase: Saturation
% 195.78/28.42 % (337691)Time elapsed: 7.144 s
% 195.78/28.42 % (337691)Peak memory usage: 234 MB
% 195.78/28.42 % (337691)Instructions burned: 12126 (million)
% 195.78/28.42 % (337705)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3406737178:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2918 on theBenchmark for (2918ds/16427Mi)
% 195.78/28.42 % (337701)Instruction limit reached!
% 195.78/28.42 % (337701)------------------------------
% 195.78/28.42 % (337701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 195.78/28.42 % (337701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 195.78/28.42 % (337701)CaDiCaL version: 2.1.3
% 195.78/28.42 % (337701)Termination reason: Instruction limit
% 195.78/28.42 % (337701)Termination phase: Saturation
% 195.78/28.42 % (337701)Time elapsed: 3.532 s
% 195.78/28.42 % (337701)Peak memory usage: 166 MB
% 195.78/28.42 % (337701)Instructions burned: 6226 (million)
% 195.78/28.42 % (337707)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=718037888:i=9356:fgj=on:bd=preordered:av=off_2913 on theBenchmark for (2913ds/9356Mi)
% 195.78/28.42 % (337697)Instruction limit reached!
% 195.78/28.42 % (337697)------------------------------
% 195.78/28.42 % (337697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 195.78/28.42 % (337697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 195.78/28.42 % (337697)CaDiCaL version: 2.1.3
% 195.78/28.42 % (337697)Termination reason: Instruction limit
% 195.78/28.42 % (337697)Termination phase: Saturation
% 195.78/28.42 % (337697)Time elapsed: 7.309 s
% 195.78/28.42 % (337697)Peak memory usage: 219 MB
% 195.78/28.42 % (337697)Instructions burned: 11832 (million)
% 195.78/28.42 % (337709)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=810518590:i=2070:kws=inv_precedence:slsql=off:bd=all_2898 on theBenchmark for (2898ds/2070Mi)
% 195.78/28.42 % (337709)Instruction limit reached!
% 195.78/28.42 % (337709)------------------------------
% 195.78/28.42 % (337709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 195.78/28.42 % (337709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 195.78/28.42 % (337709)CaDiCaL version: 2.1.3
% 195.78/28.42 % (337709)Termination reason: Instruction limit
% 195.78/28.42 % (337709)Termination phase: Saturation
% 195.78/28.42 % (337709)Time elapsed: 1.230 s
% 195.78/28.42 % (337709)Peak memory usage: 131 MB
% 195.78/28.42 % (337709)Instructions burned: 2071 (million)
% 195.78/28.42 % (337711)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=3790385195:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2884 on theBenchmark for (2884ds/6461Mi)
% 99.09/28.75 % (337703)Instruction limit reached!
% 99.09/28.75 % (337703)------------------------------
% 99.09/28.75 % (337703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337703)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337703)Termination reason: Instruction limit
% 99.09/28.75 % (337703)Termination phase: Saturation
% 99.09/28.75 % (337703)Time elapsed: 6.777 s
% 99.09/28.75 % (337703)Peak memory usage: 317 MB
% 99.09/28.75 % (337703)Instructions burned: 21756 (million)
% 99.09/28.75 % (337713)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2431196527:i=2310:bd=all:ss=included_2872 on theBenchmark for (2872ds/2310Mi)
% 99.09/28.75 % (337713)Instruction limit reached!
% 99.09/28.75 % (337713)------------------------------
% 99.09/28.75 % (337713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337713)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337713)Termination reason: Instruction limit
% 99.09/28.75 % (337713)Termination phase: Saturation
% 99.09/28.75 % (337713)Time elapsed: 0.713 s
% 99.09/28.75 % (337713)Peak memory usage: 119 MB
% 99.09/28.75 % (337713)Instructions burned: 2311 (million)
% 99.09/28.75 % (337715)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=946361941:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2863 on theBenchmark for (2863ds/2616Mi)
% 99.09/28.75 % (337715)Instruction limit reached!
% 99.09/28.75 % (337715)------------------------------
% 99.09/28.75 % (337715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337715)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337715)Termination reason: Instruction limit
% 99.09/28.75 % (337715)Termination phase: Saturation
% 99.09/28.75 % (337715)Time elapsed: 0.825 s
% 99.09/28.75 % (337715)Peak memory usage: 99 MB
% 99.09/28.75 % (337715)Instructions burned: 2617 (million)
% 99.09/28.75 % (337707)Instruction limit reached!
% 99.09/28.75 % (337707)------------------------------
% 99.09/28.75 % (337707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337707)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337707)Termination reason: Instruction limit
% 99.09/28.75 % (337707)Termination phase: Saturation
% 99.09/28.75 % (337707)Time elapsed: 5.794 s
% 99.09/28.75 % (337707)Peak memory usage: 199 MB
% 99.09/28.75 % (337707)Instructions burned: 9356 (million)
% 99.09/28.75 % (337717)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=99693137:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2854 on theBenchmark for (2854ds/30521Mi)
% 99.09/28.75 % (337718)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=442036925:i=3258:fgj=on:bd=all:ins=1_2854 on theBenchmark for (2854ds/3258Mi)
% 99.09/28.75 % (337711)Instruction limit reached!
% 99.09/28.75 % (337711)------------------------------
% 99.09/28.75 % (337711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337711)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337711)Termination reason: Instruction limit
% 99.09/28.75 % (337711)Termination phase: Saturation
% 99.09/28.75 % (337711)Time elapsed: 3.961 s
% 99.09/28.75 % (337711)Peak memory usage: 183 MB
% 99.09/28.75 % (337711)Instructions burned: 6461 (million)
% 99.09/28.75 % (337722)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=2701483028:i=5037:kws=precedence_2843 on theBenchmark for (2843ds/5037Mi)
% 99.09/28.75 % (337718)Instruction limit reached!
% 99.09/28.75 % (337718)------------------------------
% 99.09/28.75 % (337718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337718)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337718)Termination reason: Instruction limit
% 99.09/28.75 % (337718)Termination phase: Saturation
% 99.09/28.75 % (337718)Time elapsed: 2.107 s
% 99.09/28.75 % (337718)Peak memory usage: 156 MB
% 99.09/28.75 % (337718)Instructions burned: 3259 (million)
% 99.09/28.75 % (337724)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=1922670797:i=65240_2831 on theBenchmark for (2831ds/65240Mi)
% 99.09/28.75 % (337705)Instruction limit reached!
% 99.09/28.75 % (337705)------------------------------
% 99.09/28.75 % (337705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337705)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337705)Termination reason: Instruction limit
% 99.09/28.75 % (337705)Termination phase: Saturation
% 99.09/28.75 % (337705)Time elapsed: 10.012 s
% 99.09/28.75 % (337705)Peak memory usage: 243 MB
% 99.09/28.75 % (337705)Instructions burned: 16427 (million)
% 99.09/28.75 % (337726)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=3755898136:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2817 on theBenchmark for (2817ds/16502Mi)
% 99.09/28.75 % (337722)Instruction limit reached!
% 99.09/28.75 % (337722)------------------------------
% 99.09/28.75 % (337722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337722)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337722)Termination reason: Instruction limit
% 99.09/28.75 % (337722)Termination phase: Saturation
% 99.09/28.75 % (337722)Time elapsed: 3.063 s
% 99.09/28.75 % (337722)Peak memory usage: 162 MB
% 99.09/28.75 % (337722)Instructions burned: 5038 (million)
% 99.09/28.75 % (337728)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=2833971537:i=7623:bd=preordered:er=filter_2811 on theBenchmark for (2811ds/7623Mi)
% 99.09/28.75 % (337728)Instruction limit reached!
% 99.09/28.75 % (337728)------------------------------
% 99.09/28.75 % (337728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337728)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337728)Termination reason: Instruction limit
% 99.09/28.75 % (337728)Termination phase: Saturation
% 99.09/28.75 % (337728)Time elapsed: 4.470 s
% 99.09/28.75 % (337728)Peak memory usage: 173 MB
% 99.09/28.75 % (337728)Instructions burned: 7624 (million)
% 99.09/28.75 % (337730)dis+1010_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:tgt=full:npcc=on:sp=const_min:spb=non_intro:lcm=predicate:acc=on:urr=ec_only:rp=on:gs=on:random_seed=2112405919:i=8183:kws=frequency:add=off:gsp=on_2765 on theBenchmark for (2765ds/8183Mi)
% 99.09/28.75 % (337717)Instruction limit reached!
% 99.09/28.75 % (337717)------------------------------
% 99.09/28.75 % (337717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337717)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337717)Termination reason: Instruction limit
% 99.09/28.75 % (337717)Termination phase: Saturation
% 99.09/28.75 % (337717)Time elapsed: 9.951 s
% 99.09/28.75 % (337717)Peak memory usage: 398 MB
% 99.09/28.75 % (337717)Instructions burned: 30521 (million)
% 99.09/28.75 % (337732)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:bsr=unit_only:random_seed=788091542:i=8387_2754 on theBenchmark for (2754ds/8387Mi)
% 99.09/28.75 % (337732)Instruction limit reached!
% 99.09/28.75 % (337732)------------------------------
% 99.09/28.75 % (337732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.09/28.75 % (337732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/28.75 % (337732)CaDiCaL version: 2.1.3
% 99.09/28.75 % (337732)Termination reason: Instruction limit
% 99.09/28.75 % (337732)Termination phase: Saturation
% 99.09/28.75 % (337732)Time elapsed: 2.778 s
% 99.09/28.75 % (337732)Peak memory usage: 186 MB
% 99.09/28.75 % (337732)Instructions burned: 8390 (million)
% 99.09/28.75 % (337724)First to succeed.
% 99.09/28.75 % (337724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-337664"
% 99.09/28.75 % (337734)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=979164161:i=53964:kws=inv_arity_squared:fgj=on:bd=preordered_2725 on theBenchmark for (2725ds/53964Mi)
% 99.09/28.75 % (337724)Refutation found. Thanks to Tanya!
% 99.09/28.75 % SZS status Unsatisfiable for theBenchmark
% 99.09/28.75 % SZS output start Proof for theBenchmark
% See solution above
% 198.23/28.95 % (337724)------------------------------
% 198.23/28.95 % (337724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.23/28.95 % (337724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.23/28.95 % (337724)CaDiCaL version: 2.1.3
% 198.23/28.95 % (337724)Termination reason: Refutation
% 198.23/28.95 % (337724)Time elapsed: 10.543 s
% 198.23/28.95 % (337724)Peak memory usage: 276 MB
% 198.23/28.95 % (337724)Instructions burned: 17524 (million)
% 198.23/28.95 % (337724)------------------------------
% 198.23/28.95 % (337724)------------------------------
% 198.23/28.95 % (337664)Success in time 27.871 s
% 198.23/28.95 % Vampire exiting
%------------------------------------------------------------------------------