TSTP Solution File: COM008+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM008+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:46:09 EDT 2023
% Result : Theorem 27.72s 4.41s
% Output : Refutation 27.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 18
% Syntax : Number of formulae : 117 ( 12 unt; 0 def)
% Number of atoms : 417 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 557 ( 257 ~; 261 |; 24 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 161 (; 149 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88137,plain,
$false,
inference(avatar_sat_refutation,[],[f3948,f11704,f11742,f11744,f11751,f88135]) ).
fof(f88135,plain,
( spl3_4
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(avatar_contradiction_clause,[],[f88134]) ).
fof(f88134,plain,
( $false
| spl3_4
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(subsumption_resolution,[],[f88133,f366]) ).
fof(f366,plain,
( ~ equalish(c,a)
| spl3_4 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl3_4
<=> equalish(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f88133,plain,
( equalish(c,a)
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(forward_literal_rewriting,[],[f88132,f39]) ).
fof(f39,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> equalish(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',symmetry) ).
fof(f88132,plain,
( equalish(a,c)
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(subsumption_resolution,[],[f88128,f35]) ).
fof(f35,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( transitive_reflexive_rewrite(a,c)
& transitive_reflexive_rewrite(a,b) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',assumption) ).
fof(f88128,plain,
( equalish(a,c)
| ~ transitive_reflexive_rewrite(a,c)
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(duplicate_literal_removal,[],[f88124]) ).
fof(f88124,plain,
( equalish(a,c)
| ~ transitive_reflexive_rewrite(a,c)
| equalish(a,c)
| ~ transitive_reflexive_rewrite(a,c)
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(resolution,[],[f88122,f42]) ).
fof(f42,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(sK0(X0,X1),X1)
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( transitive_reflexive_rewrite(sK0(X0,X1),X1)
& rewrite(X0,sK0(X0,X1)) )
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
=> ( transitive_reflexive_rewrite(sK0(X0,X1),X1)
& rewrite(X0,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
=> ( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| equalish(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',equalish_or_rewrite) ).
fof(f88122,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(sK0(a,X0),c)
| equalish(a,X0)
| ~ transitive_reflexive_rewrite(a,X0) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(resolution,[],[f88120,f41]) ).
fof(f41,plain,
! [X0,X1] :
( rewrite(X0,sK0(X0,X1))
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f88120,plain,
( ! [X0] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(subsumption_resolution,[],[f88119,f11544]) ).
fof(f11544,plain,
( ~ equalish(b,a)
| spl3_256 ),
inference(avatar_component_clause,[],[f11543]) ).
fof(f11543,plain,
( spl3_256
<=> equalish(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_256])]) ).
fof(f88119,plain,
( ! [X0] :
( equalish(b,a)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(forward_literal_rewriting,[],[f88118,f39]) ).
fof(f88118,plain,
( ! [X0] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c)
| equalish(a,b) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(subsumption_resolution,[],[f88117,f34]) ).
fof(f34,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f2]) ).
fof(f88117,plain,
( ! [X0] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(duplicate_literal_removal,[],[f88110]) ).
fof(f88110,plain,
( ! [X0] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X0)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(resolution,[],[f88099,f41]) ).
fof(f88099,plain,
( ! [X0,X1] :
( ~ rewrite(X1,sK0(a,b))
| ~ rewrite(X1,X0)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X0) )
| ~ spl3_244
| ~ spl3_255
| spl3_256 ),
inference(subsumption_resolution,[],[f88098,f11544]) ).
fof(f88098,plain,
( ! [X0,X1] :
( equalish(b,a)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(X1,X0)
| ~ rewrite(X1,sK0(a,b))
| ~ rewrite(a,X0) )
| ~ spl3_244
| ~ spl3_255 ),
inference(forward_literal_rewriting,[],[f88097,f39]) ).
fof(f88097,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(X1,X0)
| ~ rewrite(X1,sK0(a,b))
| ~ rewrite(a,X0)
| equalish(a,b) )
| ~ spl3_244
| ~ spl3_255 ),
inference(subsumption_resolution,[],[f88096,f34]) ).
fof(f88096,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(X1,X0)
| ~ rewrite(X1,sK0(a,b))
| ~ rewrite(a,X0)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_244
| ~ spl3_255 ),
inference(duplicate_literal_removal,[],[f88081]) ).
fof(f88081,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(X1,X0)
| ~ rewrite(X1,sK0(a,b))
| ~ rewrite(a,X0)
| ~ rewrite(a,X0)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_244
| ~ spl3_255 ),
inference(resolution,[],[f85665,f41]) ).
fof(f85665,plain,
( ! [X3,X4,X5] :
( ~ rewrite(X5,sK0(a,b))
| ~ transitive_reflexive_rewrite(X3,c)
| ~ rewrite(X4,X3)
| ~ rewrite(X4,sK0(a,b))
| ~ rewrite(X5,X3)
| ~ rewrite(a,X3) )
| ~ spl3_244
| ~ spl3_255 ),
inference(resolution,[],[f57162,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK1(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X2,sK1(X1,X2))
& transitive_reflexive_rewrite(X1,sK1(X1,X2)) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f22,f29]) ).
fof(f29,plain,
! [X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
=> ( transitive_reflexive_rewrite(X2,sK1(X1,X2))
& transitive_reflexive_rewrite(X1,sK1(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',lo_cfl) ).
fof(f57162,plain,
( ! [X10,X11,X9] :
( ~ transitive_reflexive_rewrite(X9,sK1(sK0(a,b),X10))
| ~ rewrite(a,X9)
| ~ transitive_reflexive_rewrite(X9,c)
| ~ rewrite(X11,X10)
| ~ rewrite(X11,sK0(a,b)) )
| ~ spl3_244
| ~ spl3_255 ),
inference(resolution,[],[f57156,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK1(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f57156,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(sK0(a,b),X1)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_244
| ~ spl3_255 ),
inference(subsumption_resolution,[],[f57151,f11494]) ).
fof(f11494,plain,
( transitive_reflexive_rewrite(sK0(a,b),b)
| ~ spl3_244 ),
inference(avatar_component_clause,[],[f11493]) ).
fof(f11493,plain,
( spl3_244
<=> transitive_reflexive_rewrite(sK0(a,b),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_244])]) ).
fof(f57151,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(sK0(a,b),b)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(sK0(a,b),X1)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_255 ),
inference(resolution,[],[f50801,f11539]) ).
fof(f11539,plain,
( rewrite(a,sK0(a,b))
| ~ spl3_255 ),
inference(avatar_component_clause,[],[f11538]) ).
fof(f11538,plain,
( spl3_255
<=> rewrite(a,sK0(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_255])]) ).
fof(f50801,plain,
! [X3,X4,X5] :
( ~ rewrite(a,X4)
| ~ transitive_reflexive_rewrite(X4,b)
| ~ rewrite(a,X3)
| ~ transitive_reflexive_rewrite(X3,X5)
| ~ transitive_reflexive_rewrite(X4,X5)
| ~ transitive_reflexive_rewrite(X3,c) ),
inference(duplicate_literal_removal,[],[f50800]) ).
fof(f50800,plain,
! [X3,X4,X5] :
( ~ rewrite(a,X3)
| ~ transitive_reflexive_rewrite(X4,b)
| ~ rewrite(a,X4)
| ~ transitive_reflexive_rewrite(X3,X5)
| ~ transitive_reflexive_rewrite(X4,X5)
| ~ transitive_reflexive_rewrite(X3,X5)
| ~ transitive_reflexive_rewrite(X3,c)
| ~ transitive_reflexive_rewrite(X3,c) ),
inference(factoring,[],[f15247]) ).
fof(f15247,plain,
! [X6,X7,X4,X5] :
( ~ rewrite(a,X7)
| ~ transitive_reflexive_rewrite(X5,b)
| ~ rewrite(a,X5)
| ~ rewrite(a,X4)
| ~ transitive_reflexive_rewrite(X4,X6)
| ~ transitive_reflexive_rewrite(X5,X6)
| ~ transitive_reflexive_rewrite(X7,X6)
| ~ transitive_reflexive_rewrite(X7,c)
| ~ transitive_reflexive_rewrite(X4,c) ),
inference(resolution,[],[f4145,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK2(X1,X2))
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X2,sK2(X1,X2))
& transitive_reflexive_rewrite(X1,sK2(X1,X2)) )
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f24,f31]) ).
fof(f31,plain,
! [X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
=> ( transitive_reflexive_rewrite(X2,sK2(X1,X2))
& transitive_reflexive_rewrite(X1,sK2(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X0,X2)
& transitive_reflexive_rewrite(X0,X1)
& rewrite(a,X0) )
=> ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',ih_cfl) ).
fof(f4145,plain,
! [X8,X6,X9,X7] :
( ~ transitive_reflexive_rewrite(X9,sK2(c,X7))
| ~ transitive_reflexive_rewrite(X6,c)
| ~ transitive_reflexive_rewrite(X8,b)
| ~ rewrite(a,X8)
| ~ rewrite(a,X6)
| ~ transitive_reflexive_rewrite(X6,X7)
| ~ transitive_reflexive_rewrite(X8,X9) ),
inference(resolution,[],[f3762,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X1,X2)
& transitive_reflexive_rewrite(X0,X1) )
=> transitive_reflexive_rewrite(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',transitivity_of_transitive_reflexive_rewrite) ).
fof(f3762,plain,
! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(X0,sK2(c,X1))
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ transitive_reflexive_rewrite(X2,c)
| ~ transitive_reflexive_rewrite(X0,b)
| ~ rewrite(a,X0)
| ~ rewrite(a,X2) ),
inference(duplicate_literal_removal,[],[f3761]) ).
fof(f3761,plain,
! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(X0,sK2(c,X1))
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ transitive_reflexive_rewrite(X2,c)
| ~ transitive_reflexive_rewrite(X0,b)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,b)
| ~ rewrite(a,X2)
| ~ rewrite(a,X0) ),
inference(factoring,[],[f1096]) ).
fof(f1096,plain,
! [X2,X3,X0,X1] :
( ~ transitive_reflexive_rewrite(X3,sK2(c,X1))
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ transitive_reflexive_rewrite(X2,b)
| ~ transitive_reflexive_rewrite(X2,sK2(c,X1))
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X3,b)
| ~ rewrite(a,X0)
| ~ rewrite(a,X3) ),
inference(resolution,[],[f238,f46]) ).
fof(f238,plain,
! [X21,X18,X19,X20] :
( ~ transitive_reflexive_rewrite(b,sK2(sK2(c,X19),X20))
| ~ rewrite(a,X18)
| ~ transitive_reflexive_rewrite(X18,X19)
| ~ transitive_reflexive_rewrite(X18,c)
| ~ transitive_reflexive_rewrite(X21,X20)
| ~ transitive_reflexive_rewrite(X21,sK2(c,X19))
| ~ rewrite(a,X21) ),
inference(resolution,[],[f126,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK2(X1,X2))
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(sK2(c,X1),X2)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(b,X2) ),
inference(resolution,[],[f45,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(b,X1) ),
inference(resolution,[],[f47,f48]) ).
fof(f48,plain,
! [X0] :
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(subsumption_resolution,[],[f37,f33]) ).
fof(f33,plain,
~ goal,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
~ goal,
inference(flattening,[],[f12]) ).
fof(f12,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
goal,
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',goal_to_be_proved) ).
fof(f37,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( transitive_reflexive_rewrite(c,X0)
& transitive_reflexive_rewrite(b,X0) )
=> goal ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',found) ).
fof(f11751,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f11750]) ).
fof(f11750,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f11745,f35]) ).
fof(f11745,plain,
( ~ transitive_reflexive_rewrite(a,c)
| ~ spl3_5 ),
inference(resolution,[],[f576,f58]) ).
fof(f58,plain,
! [X2] :
( ~ transitive_reflexive_rewrite(b,X2)
| ~ transitive_reflexive_rewrite(X2,c) ),
inference(resolution,[],[f47,f51]) ).
fof(f51,plain,
~ transitive_reflexive_rewrite(b,c),
inference(resolution,[],[f50,f36]) ).
fof(f36,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',reflexivity) ).
fof(f50,plain,
! [X0] :
( ~ equalish(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(resolution,[],[f40,f48]) ).
fof(f40,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> transitive_reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190',equality_in_transitive_reflexive_rewrite) ).
fof(f576,plain,
( transitive_reflexive_rewrite(b,a)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl3_5
<=> transitive_reflexive_rewrite(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f11744,plain,
( spl3_5
| spl3_244 ),
inference(avatar_contradiction_clause,[],[f11743]) ).
fof(f11743,plain,
( $false
| spl3_5
| spl3_244 ),
inference(subsumption_resolution,[],[f11682,f583]) ).
fof(f583,plain,
( ~ equalish(b,a)
| spl3_5 ),
inference(resolution,[],[f577,f40]) ).
fof(f577,plain,
( ~ transitive_reflexive_rewrite(b,a)
| spl3_5 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f11682,plain,
( equalish(b,a)
| spl3_244 ),
inference(forward_literal_rewriting,[],[f11681,f39]) ).
fof(f11681,plain,
( equalish(a,b)
| spl3_244 ),
inference(subsumption_resolution,[],[f11677,f34]) ).
fof(f11677,plain,
( equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b)
| spl3_244 ),
inference(resolution,[],[f11495,f42]) ).
fof(f11495,plain,
( ~ transitive_reflexive_rewrite(sK0(a,b),b)
| spl3_244 ),
inference(avatar_component_clause,[],[f11493]) ).
fof(f11742,plain,
( spl3_5
| ~ spl3_256 ),
inference(avatar_contradiction_clause,[],[f11741]) ).
fof(f11741,plain,
( $false
| spl3_5
| ~ spl3_256 ),
inference(subsumption_resolution,[],[f11545,f583]) ).
fof(f11545,plain,
( equalish(b,a)
| ~ spl3_256 ),
inference(avatar_component_clause,[],[f11543]) ).
fof(f11704,plain,
( spl3_255
| spl3_256 ),
inference(avatar_contradiction_clause,[],[f11703]) ).
fof(f11703,plain,
( $false
| spl3_255
| spl3_256 ),
inference(subsumption_resolution,[],[f11702,f11544]) ).
fof(f11702,plain,
( equalish(b,a)
| spl3_255 ),
inference(forward_literal_rewriting,[],[f11701,f39]) ).
fof(f11701,plain,
( equalish(a,b)
| spl3_255 ),
inference(subsumption_resolution,[],[f11700,f34]) ).
fof(f11700,plain,
( equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b)
| spl3_255 ),
inference(resolution,[],[f11540,f41]) ).
fof(f11540,plain,
( ~ rewrite(a,sK0(a,b))
| spl3_255 ),
inference(avatar_component_clause,[],[f11538]) ).
fof(f3948,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f3947]) ).
fof(f3947,plain,
( $false
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f3945,f36]) ).
fof(f3945,plain,
( ~ equalish(b,b)
| ~ spl3_4 ),
inference(resolution,[],[f3935,f40]) ).
fof(f3935,plain,
( ~ transitive_reflexive_rewrite(b,b)
| ~ spl3_4 ),
inference(resolution,[],[f3927,f34]) ).
fof(f3927,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(a,X0)
| ~ transitive_reflexive_rewrite(b,X0) )
| ~ spl3_4 ),
inference(resolution,[],[f367,f71]) ).
fof(f71,plain,
! [X3,X4] :
( ~ equalish(c,X3)
| ~ transitive_reflexive_rewrite(b,X4)
| ~ transitive_reflexive_rewrite(X3,X4) ),
inference(resolution,[],[f57,f40]) ).
fof(f367,plain,
( equalish(c,a)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:42:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.DUJcyPnFPk/Vampire---4.8_13190
% 0.20/0.36 % (13313)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (13318)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.42 % (13316)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.20/0.42 % (13319)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.20/0.42 % (13317)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.20/0.42 % (13315)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.20/0.42 % (13314)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.20/0.42 % (13320)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 27.72/4.40 % (13318)First to succeed.
% 27.72/4.41 % (13318)Refutation found. Thanks to Tanya!
% 27.72/4.41 % SZS status Theorem for Vampire---4
% 27.72/4.41 % SZS output start Proof for Vampire---4
% See solution above
% 27.72/4.41 % (13318)------------------------------
% 27.72/4.41 % (13318)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 27.72/4.41 % (13318)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 27.72/4.41 % (13318)Termination reason: Refutation
% 27.72/4.41
% 27.72/4.41 % (13318)Memory used [KB]: 58847
% 27.72/4.41 % (13318)Time elapsed: 3.986 s
% 27.72/4.41 % (13318)------------------------------
% 27.72/4.41 % (13318)------------------------------
% 27.72/4.41 % (13313)Success in time 4.019 s
% 27.72/4.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------