TSTP Solution File: ALG179+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG179+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Sun May 5 04:27:08 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 127 ( 19 unt; 0 def)
% Number of atoms : 345 ( 66 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 357 ( 139 ~; 134 |; 37 &)
% ( 10 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 90 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f78,f87,f109,f113,f123,f148,f152,f167,f185,f189,f200,f335,f338,f416]) ).
fof(f416,plain,
( ~ spl2_3
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl2_3
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f414,f26]) ).
fof(f26,plain,
sK0 != op2(op2(sK0,sK1),sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( sK0 != op2(op2(sK0,sK1),sK1)
& sorti2(sK1)
& sorti2(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f16,f15]) ).
fof(f15,plain,
( ? [X0] :
( ? [X1] :
( op2(op2(X0,X1),X1) != X0
& sorti2(X1) )
& sorti2(X0) )
=> ( ? [X1] :
( sK0 != op2(op2(sK0,X1),X1)
& sorti2(X1) )
& sorti2(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X1] :
( sK0 != op2(op2(sK0,X1),X1)
& sorti2(X1) )
=> ( sK0 != op2(op2(sK0,sK1),sK1)
& sorti2(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0] :
( ? [X1] :
( op2(op2(X0,X1),X1) != X0
& sorti2(X1) )
& sorti2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> op2(op2(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f414,plain,
( sK0 = op2(op2(sK0,sK1),sK1)
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f413,f30]) ).
fof(f30,plain,
sK0 = h(j(sK0)),
inference(resolution,[],[f22,f24]) ).
fof(f24,plain,
sorti2(sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f22,plain,
! [X1] :
( ~ sorti2(X1)
| h(j(X1)) = X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] :
( j(h(X0)) = X0
| ~ sorti1(X0) )
& ! [X1] :
( h(j(X1)) = X1
| ~ sorti2(X1) )
& ! [X2] :
( ! [X3] :
( j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X3) )
| ~ sorti2(X2) )
& ! [X4] :
( ! [X5] :
( h(op1(X4,X5)) = op2(h(X4),h(X5))
| ~ sorti1(X5) )
| ~ sorti1(X4) )
& ! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) )
& ! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) )
& ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 )
& ! [X3] :
( sorti2(X3)
=> h(j(X3)) = X3 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti1(X6)
=> ! [X7] :
( sorti1(X7)
=> h(op1(X6,X7)) = op2(h(X6),h(X7)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f413,plain,
( op2(op2(sK0,sK1),sK1) = h(j(sK0))
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f412,f63]) ).
fof(f63,plain,
op2(sK0,sK1) = h(j(op2(sK0,sK1))),
inference(resolution,[],[f58,f25]) ).
fof(f25,plain,
sorti2(sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f58,plain,
! [X0] :
( ~ sorti2(X0)
| op2(sK0,X0) = h(j(op2(sK0,X0))) ),
inference(resolution,[],[f43,f24]) ).
fof(f43,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti2(X0)
| op2(X1,X0) = h(j(op2(X1,X0))) ),
inference(resolution,[],[f29,f22]) ).
fof(f29,plain,
! [X0,X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X1)
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X1) )
| ~ sorti2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> sorti2(op2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f412,plain,
( h(j(sK0)) = op2(h(j(op2(sK0,sK1))),sK1)
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f405,f358]) ).
fof(f358,plain,
( j(sK0) = op1(j(op2(sK0,sK1)),j(sK1))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f349,f227]) ).
fof(f227,plain,
j(op2(sK0,sK1)) = op1(j(sK0),j(sK1)),
inference(resolution,[],[f92,f24]) ).
fof(f92,plain,
! [X0] :
( ~ sorti2(X0)
| j(op2(X0,sK1)) = op1(j(X0),j(sK1)) ),
inference(resolution,[],[f21,f25]) ).
fof(f21,plain,
! [X2,X3] :
( ~ sorti2(X3)
| j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f349,plain,
( j(sK0) = op1(op1(j(sK0),j(sK1)),j(sK1))
| ~ spl2_9 ),
inference(resolution,[],[f329,f239]) ).
fof(f239,plain,
! [X0] :
( ~ sorti1(X0)
| op1(op1(X0,j(sK1)),j(sK1)) = X0 ),
inference(resolution,[],[f153,f25]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti1(X0)
| op1(op1(X0,j(X1)),j(X1)) = X0 ),
inference(resolution,[],[f28,f19]) ).
fof(f19,plain,
! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] :
( ~ sorti1(X1)
| op1(op1(X0,X1),X1) = X0
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( op1(op1(X0,X1),X1) = X0
| ~ sorti1(X1) )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> op1(op1(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f329,plain,
( sorti1(j(sK0))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl2_9
<=> sorti1(j(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f405,plain,
( op2(h(j(op2(sK0,sK1))),sK1) = h(op1(j(op2(sK0,sK1)),j(sK1)))
| ~ spl2_3 ),
inference(resolution,[],[f324,f103]) ).
fof(f103,plain,
( sorti1(j(op2(sK0,sK1)))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl2_3
<=> sorti1(j(op2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f324,plain,
! [X0] :
( ~ sorti1(X0)
| op2(h(X0),sK1) = h(op1(X0,j(sK1))) ),
inference(forward_demodulation,[],[f318,f31]) ).
fof(f31,plain,
sK1 = h(j(sK1)),
inference(resolution,[],[f22,f25]) ).
fof(f318,plain,
! [X0] :
( ~ sorti1(X0)
| h(op1(X0,j(sK1))) = op2(h(X0),h(j(sK1))) ),
inference(resolution,[],[f44,f25]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti1(X0)
| h(op1(X0,j(X1))) = op2(h(X0),h(j(X1))) ),
inference(resolution,[],[f20,f19]) ).
fof(f20,plain,
! [X4,X5] :
( ~ sorti1(X5)
| h(op1(X4,X5)) = op2(h(X4),h(X5))
| ~ sorti1(X4) ),
inference(cnf_transformation,[],[f14]) ).
fof(f338,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| spl2_9 ),
inference(subsumption_resolution,[],[f336,f24]) ).
fof(f336,plain,
( ~ sorti2(sK0)
| spl2_9 ),
inference(resolution,[],[f330,f19]) ).
fof(f330,plain,
( ~ sorti1(j(sK0))
| spl2_9 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f335,plain,
( ~ spl2_9
| spl2_10
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f326,f141,f332,f328]) ).
fof(f332,plain,
( spl2_10
<=> sorti1(j(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f141,plain,
( spl2_5
<=> sorti1(j(op2(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f326,plain,
( sorti1(j(sK1))
| ~ sorti1(j(sK0))
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f325,f142]) ).
fof(f142,plain,
( sorti1(j(op2(sK1,sK0)))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f325,plain,
( sorti1(j(sK1))
| ~ sorti1(j(sK0))
| ~ sorti1(j(op2(sK1,sK0))) ),
inference(superposition,[],[f27,f309]) ).
fof(f309,plain,
j(sK1) = op1(j(op2(sK1,sK0)),j(sK0)),
inference(forward_demodulation,[],[f307,f217]) ).
fof(f217,plain,
j(op2(sK1,sK0)) = op1(j(sK1),j(sK0)),
inference(resolution,[],[f91,f25]) ).
fof(f91,plain,
! [X0] :
( ~ sorti2(X0)
| j(op2(X0,sK0)) = op1(j(X0),j(sK0)) ),
inference(resolution,[],[f21,f24]) ).
fof(f307,plain,
j(sK1) = op1(op1(j(sK1),j(sK0)),j(sK0)),
inference(resolution,[],[f240,f25]) ).
fof(f240,plain,
! [X0] :
( ~ sorti2(X0)
| j(X0) = op1(op1(j(X0),j(sK0)),j(sK0)) ),
inference(resolution,[],[f238,f19]) ).
fof(f238,plain,
! [X0] :
( ~ sorti1(X0)
| op1(op1(X0,j(sK0)),j(sK0)) = X0 ),
inference(resolution,[],[f153,f24]) ).
fof(f27,plain,
! [X0,X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1)
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1) )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> sorti1(op1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f200,plain,
( spl2_7
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f199,plain,
( $false
| spl2_7
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f198,f184]) ).
fof(f184,plain,
( sorti2(op2(sK1,sK1))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl2_8
<=> sorti2(op2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f198,plain,
( ~ sorti2(op2(sK1,sK1))
| spl2_7 ),
inference(resolution,[],[f180,f19]) ).
fof(f180,plain,
( ~ sorti1(j(op2(sK1,sK1)))
| spl2_7 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl2_7
<=> sorti1(j(op2(sK1,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f189,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| spl2_8 ),
inference(subsumption_resolution,[],[f187,f25]) ).
fof(f187,plain,
( ~ sorti2(sK1)
| spl2_8 ),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f186,plain,
( ~ sorti2(sK1)
| ~ sorti2(sK1)
| spl2_8 ),
inference(resolution,[],[f183,f29]) ).
fof(f183,plain,
( ~ sorti2(op2(sK1,sK1))
| spl2_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( ~ spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f139,f182,f178]) ).
fof(f139,plain,
( sorti2(op2(sK1,sK1))
| ~ sorti1(j(op2(sK1,sK1))) ),
inference(superposition,[],[f18,f137]) ).
fof(f137,plain,
op2(sK1,sK1) = h(j(op2(sK1,sK1))),
inference(resolution,[],[f59,f25]) ).
fof(f59,plain,
! [X0] :
( ~ sorti2(X0)
| op2(sK1,X0) = h(j(op2(sK1,X0))) ),
inference(resolution,[],[f43,f25]) ).
fof(f18,plain,
! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ),
inference(cnf_transformation,[],[f14]) ).
fof(f167,plain,
( spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f165,f147]) ).
fof(f147,plain,
( sorti2(op2(sK1,sK0))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl2_6
<=> sorti2(op2(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f165,plain,
( ~ sorti2(op2(sK1,sK0))
| spl2_5 ),
inference(resolution,[],[f143,f19]) ).
fof(f143,plain,
( ~ sorti1(j(op2(sK1,sK0)))
| spl2_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f152,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| spl2_6 ),
inference(subsumption_resolution,[],[f150,f25]) ).
fof(f150,plain,
( ~ sorti2(sK1)
| spl2_6 ),
inference(subsumption_resolution,[],[f149,f24]) ).
fof(f149,plain,
( ~ sorti2(sK0)
| ~ sorti2(sK1)
| spl2_6 ),
inference(resolution,[],[f146,f29]) ).
fof(f146,plain,
( ~ sorti2(op2(sK1,sK0))
| spl2_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f138,f145,f141]) ).
fof(f138,plain,
( sorti2(op2(sK1,sK0))
| ~ sorti1(j(op2(sK1,sK0))) ),
inference(superposition,[],[f18,f136]) ).
fof(f136,plain,
op2(sK1,sK0) = h(j(op2(sK1,sK0))),
inference(resolution,[],[f59,f24]) ).
fof(f123,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f122,plain,
( $false
| spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f121,f108]) ).
fof(f108,plain,
( sorti2(op2(sK0,sK1))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl2_4
<=> sorti2(op2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f121,plain,
( ~ sorti2(op2(sK0,sK1))
| spl2_3 ),
inference(resolution,[],[f104,f19]) ).
fof(f104,plain,
( ~ sorti1(j(op2(sK0,sK1)))
| spl2_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f113,plain,
spl2_4,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| spl2_4 ),
inference(subsumption_resolution,[],[f111,f24]) ).
fof(f111,plain,
( ~ sorti2(sK0)
| spl2_4 ),
inference(subsumption_resolution,[],[f110,f25]) ).
fof(f110,plain,
( ~ sorti2(sK1)
| ~ sorti2(sK0)
| spl2_4 ),
inference(resolution,[],[f107,f29]) ).
fof(f107,plain,
( ~ sorti2(op2(sK0,sK1))
| spl2_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f65,f106,f102]) ).
fof(f65,plain,
( sorti2(op2(sK0,sK1))
| ~ sorti1(j(op2(sK0,sK1))) ),
inference(superposition,[],[f18,f63]) ).
fof(f87,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f85,f73]) ).
fof(f73,plain,
( sorti2(op2(sK0,sK0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl2_2
<=> sorti2(op2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f85,plain,
( ~ sorti2(op2(sK0,sK0))
| spl2_1 ),
inference(resolution,[],[f69,f19]) ).
fof(f69,plain,
( ~ sorti1(j(op2(sK0,sK0)))
| spl2_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl2_1
<=> sorti1(j(op2(sK0,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f78,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f76,f24]) ).
fof(f76,plain,
( ~ sorti2(sK0)
| spl2_2 ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
( ~ sorti2(sK0)
| ~ sorti2(sK0)
| spl2_2 ),
inference(resolution,[],[f72,f29]) ).
fof(f72,plain,
( ~ sorti2(op2(sK0,sK0))
| spl2_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f64,f71,f67]) ).
fof(f64,plain,
( sorti2(op2(sK0,sK0))
| ~ sorti1(j(op2(sK0,sK0))) ),
inference(superposition,[],[f18,f62]) ).
fof(f62,plain,
op2(sK0,sK0) = h(j(op2(sK0,sK0))),
inference(resolution,[],[f58,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG179+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:55:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (19352)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (19353)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 % (19354)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (19355)WARNING: value z3 for option sas not known
% 0.15/0.38 % (19357)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (19359)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (19356)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (19355)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (19358)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 % (19355)First to succeed.
% 0.15/0.40 % (19355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19352"
% 0.15/0.40 TRYING [5]
% 0.15/0.40 % (19355)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (19355)------------------------------
% 0.15/0.40 % (19355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (19355)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (19355)Memory used [KB]: 923
% 0.15/0.40 % (19355)Time elapsed: 0.017 s
% 0.15/0.40 % (19355)Instructions burned: 23 (million)
% 0.15/0.40 % (19352)Success in time 0.043 s
%------------------------------------------------------------------------------