%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX059+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:45:47 PM UTC 2026
% Result : Theorem 4.15s 1.50s
% Output : Refutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 127 ( 19 unt; 13 def)
% Number of atoms : 317 ( 74 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 340 ( 150 ~; 161 |; 7 &)
% ( 13 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 82 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( s(X0) = s(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id6) ).
fof(f187,axiom,
! [X0,X1] :
( list_succeeds(cons(X0,X1))
=> list_succeeds(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(list:cons)') ).
fof(f274,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
=> ( list_succeeds(X0)
& list_succeeds(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(permutation:types)') ).
fof(f287,axiom,
! [X0,X1,X2] :
( ( list_succeeds(X2)
& X0 != X1 )
=> occ(X0,cons(X1,X2)) = occ(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(occ:cons:diff)') ).
fof(f288,axiom,
! [X0,X1] :
( list_succeeds(X1)
=> occ(X0,cons(X0,X1)) = s(occ(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(occ:cons:eq)') ).
fof(f293,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
=> ! [X2] : occ(X2,X0) = occ(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(permutation:occ)') ).
fof(f298,axiom,
! [X0,X1] :
( ( list_succeeds(X1)
& list_succeeds(X0)
& ! [X2] : occ(X2,X0) = occ(X2,X1) )
=> permutation_succeeds(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(occ:permutation)') ).
fof(f313,conjecture,
! [X0,X1,X2] :
( permutation_succeeds(cons(X0,X1),cons(X0,X2))
=> permutation_succeeds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(permutation:cons)') ).
fof(f314,negated_conjecture,
~ ! [X0,X1,X2] :
( permutation_succeeds(cons(X0,X1),cons(X0,X2))
=> permutation_succeeds(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f313]) ).
fof(f340,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f533,plain,
! [X0,X1] :
( list_succeeds(X1)
| ~ list_succeeds(cons(X0,X1)) ),
inference(ennf_transformation,[],[f187]) ).
fof(f662,plain,
! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
| ~ permutation_succeeds(X0,X1) ),
inference(ennf_transformation,[],[f274]) ).
fof(f681,plain,
! [X0,X1,X2] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f287]) ).
fof(f682,plain,
! [X0,X1,X2] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(flattening,[],[f681]) ).
fof(f683,plain,
! [X0,X1] :
( occ(X0,cons(X0,X1)) = s(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f288]) ).
fof(f691,plain,
! [X0,X1] :
( ! [X2] : occ(X2,X0) = occ(X2,X1)
| ~ permutation_succeeds(X0,X1) ),
inference(ennf_transformation,[],[f293]) ).
fof(f700,plain,
! [X0,X1] :
( permutation_succeeds(X0,X1)
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| ? [X2] : occ(X2,X0) != occ(X2,X1) ),
inference(ennf_transformation,[],[f298]) ).
fof(f701,plain,
! [X0,X1] :
( permutation_succeeds(X0,X1)
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| ? [X2] : occ(X2,X0) != occ(X2,X1) ),
inference(flattening,[],[f700]) ).
fof(f726,plain,
? [X0,X1,X2] :
( ~ permutation_succeeds(X1,X2)
& permutation_succeeds(cons(X0,X1),cons(X0,X2)) ),
inference(ennf_transformation,[],[f314]) ).
fof(f919,plain,
! [X0,X1] :
( permutation_succeeds(X0,X1)
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| occ(sK127(X0,X1),X0) != occ(sK127(X0,X1),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(X2,sK127(X0,X1))],[f701]) ).
fof(f921,plain,
( ~ permutation_succeeds(sK130,sK131)
& permutation_succeeds(cons(sK129,sK130),cons(sK129,sK131)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK129,sK130,sK131]),skolemize(X0,sK129),skolemize(X1,sK130),skolemize(X2,sK131)],[f726]) ).
fof(f927,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1352,plain,
! [X0,X1] :
( list_succeeds(X1)
| ~ list_succeeds(cons(X0,X1)) ),
inference(cnf_transformation,[],[f533]) ).
fof(f1454,plain,
! [X0,X1] :
( list_succeeds(X1)
| ~ permutation_succeeds(X0,X1) ),
inference(cnf_transformation,[],[f662]) ).
fof(f1455,plain,
! [X0,X1] :
( list_succeeds(X0)
| ~ permutation_succeeds(X0,X1) ),
inference(cnf_transformation,[],[f662]) ).
fof(f1469,plain,
! [X2,X0,X1] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f682]) ).
fof(f1470,plain,
! [X0,X1] :
( occ(X0,cons(X0,X1)) = s(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f683]) ).
fof(f1475,plain,
! [X2,X0,X1] :
( occ(X2,X0) = occ(X2,X1)
| ~ permutation_succeeds(X0,X1) ),
inference(cnf_transformation,[],[f691]) ).
fof(f1480,plain,
! [X0,X1] :
( permutation_succeeds(X0,X1)
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| occ(sK127(X0,X1),X0) != occ(sK127(X0,X1),X1) ),
inference(cnf_transformation,[],[f919]) ).
fof(f1494,plain,
permutation_succeeds(cons(sK129,sK130),cons(sK129,sK131)),
inference(cnf_transformation,[],[f921]) ).
fof(f1495,plain,
~ permutation_succeeds(sK130,sK131),
inference(cnf_transformation,[],[f921]) ).
fof(f1640,definition,
( spl146_1
<=> permutation_succeeds(cons(sK129,sK130),cons(sK129,sK131)) ),
introduced(definition,[new_symbols(definition,[spl146_1])],[avatar_definition]) ).
fof(f1642,plain,
( permutation_succeeds(cons(sK129,sK130),cons(sK129,sK131))
| ~ spl146_1 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1643,plain,
spl146_1,
inference(avatar_split_clause,[],[f1494,f1640]) ).
fof(f1651,plain,
( list_succeeds(cons(sK129,sK131))
| ~ spl146_1 ),
inference(resolution,[],[f1642,f1454]) ).
fof(f1652,plain,
( list_succeeds(cons(sK129,sK130))
| ~ spl146_1 ),
inference(resolution,[],[f1642,f1455]) ).
fof(f1653,plain,
( ! [X0] : occ(X0,cons(sK129,sK130)) = occ(X0,cons(sK129,sK131))
| ~ spl146_1 ),
inference(resolution,[],[f1642,f1475]) ).
fof(f1682,definition,
( spl146_2
<=> permutation_succeeds(sK130,sK131) ),
introduced(definition,[new_symbols(definition,[spl146_2])],[avatar_definition]) ).
fof(f1684,plain,
( ~ permutation_succeeds(sK130,sK131)
| spl146_2 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1685,plain,
~ spl146_2,
inference(avatar_split_clause,[],[f1495,f1682]) ).
fof(f1689,plain,
( ~ list_succeeds(sK131)
| ~ list_succeeds(sK130)
| occ(sK127(sK130,sK131),sK130) != occ(sK127(sK130,sK131),sK131)
| spl146_2 ),
inference(resolution,[],[f1684,f1480]) ).
fof(f1872,definition,
( spl146_9
<=> ! [X0] : occ(X0,cons(sK129,sK130)) = occ(X0,cons(sK129,sK131)) ),
introduced(definition,[new_symbols(definition,[spl146_9])],[avatar_definition]) ).
fof(f1873,plain,
( ! [X0] : occ(X0,cons(sK129,sK130)) = occ(X0,cons(sK129,sK131))
| ~ spl146_9 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f1874,plain,
( spl146_9
| ~ spl146_1 ),
inference(avatar_split_clause,[],[f1653,f1640,f1872]) ).
fof(f1892,plain,
( ! [X0] :
( occ(X0,cons(sK129,sK130)) = occ(X0,sK131)
| ~ list_succeeds(sK131)
| sK129 = X0 )
| ~ spl146_9 ),
inference(superposition,[],[f1469,f1873]) ).
fof(f1893,plain,
( s(occ(sK129,sK131)) = occ(sK129,cons(sK129,sK130))
| ~ list_succeeds(sK131)
| ~ spl146_9 ),
inference(superposition,[],[f1470,f1873]) ).
fof(f1951,definition,
( spl146_11
<=> list_succeeds(sK131) ),
introduced(definition,[new_symbols(definition,[spl146_11])],[avatar_definition]) ).
fof(f1952,plain,
( list_succeeds(sK131)
| ~ spl146_11 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1953,plain,
( ~ list_succeeds(sK131)
| spl146_11 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1959,definition,
( spl146_13
<=> list_succeeds(sK130) ),
introduced(definition,[new_symbols(definition,[spl146_13])],[avatar_definition]) ).
fof(f1960,plain,
( list_succeeds(sK130)
| ~ spl146_13 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1961,plain,
( ~ list_succeeds(sK130)
| spl146_13 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1964,plain,
( ! [X0] : ~ list_succeeds(cons(X0,sK131))
| spl146_11 ),
inference(resolution,[],[f1953,f1352]) ).
fof(f1978,plain,
( $false
| ~ spl146_1
| spl146_11 ),
inference(backward_subsumption_resolution,[],[f1651,f1964]) ).
fof(f1979,plain,
( ~ spl146_1
| spl146_11 ),
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1981,plain,
( ~ list_succeeds(sK130)
| occ(sK127(sK130,sK131),sK130) != occ(sK127(sK130,sK131),sK131)
| spl146_2
| ~ spl146_11 ),
inference(backward_subsumption_resolution,[],[f1689,f1952]) ).
fof(f1982,plain,
( ! [X0] :
( occ(X0,cons(sK129,sK130)) = occ(X0,sK131)
| sK129 = X0 )
| ~ spl146_9
| ~ spl146_11 ),
inference(backward_subsumption_resolution,[],[f1892,f1952]) ).
fof(f1983,plain,
( s(occ(sK129,sK131)) = occ(sK129,cons(sK129,sK130))
| ~ spl146_9
| ~ spl146_11 ),
inference(backward_subsumption_resolution,[],[f1893,f1952]) ).
fof(f2278,definition,
( spl146_19
<=> occ(sK127(sK130,sK131),sK130) = occ(sK127(sK130,sK131),sK131) ),
introduced(definition,[new_symbols(definition,[spl146_19])],[avatar_definition]) ).
fof(f2280,plain,
( occ(sK127(sK130,sK131),sK130) != occ(sK127(sK130,sK131),sK131)
| spl146_19 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2281,plain,
( ~ spl146_19
| ~ spl146_13
| spl146_2
| ~ spl146_11 ),
inference(avatar_split_clause,[],[f1981,f1951,f1682,f1959,f2278]) ).
fof(f2283,plain,
( ! [X0] : ~ list_succeeds(cons(X0,sK130))
| spl146_13 ),
inference(resolution,[],[f1961,f1352]) ).
fof(f2297,plain,
( $false
| ~ spl146_1
| spl146_13 ),
inference(backward_subsumption_resolution,[],[f1652,f2283]) ).
fof(f2298,plain,
( ~ spl146_1
| spl146_13 ),
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2402,plain,
( ! [X0] : occ(X0,cons(X0,sK130)) = s(occ(X0,sK130))
| ~ spl146_13 ),
inference(resolution,[],[f1960,f1470]) ).
fof(f2677,definition,
( spl146_27
<=> s(occ(sK129,sK131)) = occ(sK129,cons(sK129,sK130)) ),
introduced(definition,[new_symbols(definition,[spl146_27])],[avatar_definition]) ).
fof(f2679,plain,
( s(occ(sK129,sK131)) = occ(sK129,cons(sK129,sK130))
| ~ spl146_27 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f2680,plain,
( spl146_27
| ~ spl146_9
| ~ spl146_11 ),
inference(avatar_split_clause,[],[f1983,f1951,f1872,f2677]) ).
fof(f2681,plain,
( s(occ(sK129,sK131)) = s(occ(sK129,sK130))
| ~ spl146_13
| ~ spl146_27 ),
inference(forward_demodulation,[],[f2679,f2402]) ).
fof(f2825,definition,
( spl146_31
<=> s(occ(sK129,sK131)) = s(occ(sK129,sK130)) ),
introduced(definition,[new_symbols(definition,[spl146_31])],[avatar_definition]) ).
fof(f2827,plain,
( s(occ(sK129,sK131)) = s(occ(sK129,sK130))
| ~ spl146_31 ),
inference(avatar_component_clause,[],[f2825]) ).
fof(f2828,plain,
( spl146_31
| ~ spl146_13
| ~ spl146_27 ),
inference(avatar_split_clause,[],[f2681,f2677,f1959,f2825]) ).
fof(f2842,plain,
( ! [X0] :
( s(X0) != s(occ(sK129,sK130))
| occ(sK129,sK131) = X0 )
| ~ spl146_31 ),
inference(superposition,[],[f927,f2827]) ).
fof(f2912,definition,
( spl146_32
<=> ! [X0] :
( occ(X0,cons(sK129,sK130)) = occ(X0,sK131)
| sK129 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl146_32])],[avatar_definition]) ).
fof(f2913,plain,
( ! [X0] :
( occ(X0,cons(sK129,sK130)) = occ(X0,sK131)
| sK129 = X0 )
| ~ spl146_32 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f2914,plain,
( spl146_32
| ~ spl146_9
| ~ spl146_11 ),
inference(avatar_split_clause,[],[f1982,f1951,f1872,f2912]) ).
fof(f2931,plain,
( ! [X0] :
( occ(X0,sK131) = occ(X0,sK130)
| ~ list_succeeds(sK130)
| sK129 = X0
| sK129 = X0 )
| ~ spl146_32 ),
inference(superposition,[],[f1469,f2913]) ).
fof(f2966,plain,
( ! [X0] :
( occ(X0,sK131) = occ(X0,sK130)
| ~ list_succeeds(sK130)
| sK129 = X0 )
| ~ spl146_32 ),
inference(duplicate_literal_removal,[],[f2931]) ).
fof(f2992,plain,
( ! [X0] :
( occ(X0,sK131) = occ(X0,sK130)
| sK129 = X0 )
| ~ spl146_13
| ~ spl146_32 ),
inference(forward_subsumption_resolution,[],[f2966,f1960]) ).
fof(f3208,definition,
( spl146_41
<=> ! [X0] :
( s(X0) != s(occ(sK129,sK130))
| occ(sK129,sK131) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl146_41])],[avatar_definition]) ).
fof(f3209,plain,
( ! [X0] :
( s(X0) != s(occ(sK129,sK130))
| occ(sK129,sK131) = X0 )
| ~ spl146_41 ),
inference(avatar_component_clause,[],[f3208]) ).
fof(f3210,plain,
( spl146_41
| ~ spl146_31 ),
inference(avatar_split_clause,[],[f2842,f2825,f3208]) ).
fof(f3284,plain,
( occ(sK129,sK131) = occ(sK129,sK130)
| ~ spl146_41 ),
inference(equality_resolution,[],[f3209]) ).
fof(f3326,definition,
( spl146_42
<=> occ(sK129,sK131) = occ(sK129,sK130) ),
introduced(definition,[new_symbols(definition,[spl146_42])],[avatar_definition]) ).
fof(f3328,plain,
( occ(sK129,sK131) = occ(sK129,sK130)
| ~ spl146_42 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f3329,plain,
( spl146_42
| ~ spl146_41 ),
inference(avatar_split_clause,[],[f3284,f3208,f3326]) ).
fof(f3657,definition,
( spl146_52
<=> ! [X0] :
( occ(X0,sK131) = occ(X0,sK130)
| sK129 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl146_52])],[avatar_definition]) ).
fof(f3658,plain,
( ! [X0] :
( occ(X0,sK131) = occ(X0,sK130)
| sK129 = X0 )
| ~ spl146_52 ),
inference(avatar_component_clause,[],[f3657]) ).
fof(f3659,plain,
( spl146_52
| ~ spl146_13
| ~ spl146_32 ),
inference(avatar_split_clause,[],[f2992,f2912,f1959,f3657]) ).
fof(f3703,plain,
( occ(sK127(sK130,sK131),sK130) != occ(sK127(sK130,sK131),sK130)
| sK129 = sK127(sK130,sK131)
| spl146_19
| ~ spl146_52 ),
inference(superposition,[],[f2280,f3658]) ).
fof(f3708,plain,
( sK129 = sK127(sK130,sK131)
| spl146_19
| ~ spl146_52 ),
inference(trivial_inequality_removal,[],[f3703]) ).
fof(f3742,definition,
( spl146_53
<=> sK129 = sK127(sK130,sK131) ),
introduced(definition,[new_symbols(definition,[spl146_53])],[avatar_definition]) ).
fof(f3744,plain,
( sK129 = sK127(sK130,sK131)
| ~ spl146_53 ),
inference(avatar_component_clause,[],[f3742]) ).
fof(f3745,plain,
( spl146_53
| spl146_19
| ~ spl146_52 ),
inference(avatar_split_clause,[],[f3708,f3657,f2278,f3742]) ).
fof(f3750,plain,
( occ(sK129,sK131) != occ(sK129,sK130)
| permutation_succeeds(sK130,sK131)
| ~ list_succeeds(sK131)
| ~ list_succeeds(sK130)
| ~ spl146_53 ),
inference(superposition,[],[f1480,f3744]) ).
fof(f3751,plain,
( permutation_succeeds(sK130,sK131)
| ~ list_succeeds(sK131)
| ~ list_succeeds(sK130)
| ~ spl146_42
| ~ spl146_53 ),
inference(forward_subsumption_resolution,[],[f3750,f3328]) ).
fof(f3757,plain,
( ~ list_succeeds(sK131)
| ~ list_succeeds(sK130)
| spl146_2
| ~ spl146_42
| ~ spl146_53 ),
inference(forward_subsumption_resolution,[],[f3751,f1684]) ).
fof(f3762,plain,
( ~ list_succeeds(sK130)
| spl146_2
| ~ spl146_11
| ~ spl146_42
| ~ spl146_53 ),
inference(forward_subsumption_resolution,[],[f3757,f1952]) ).
fof(f3767,plain,
( $false
| spl146_2
| ~ spl146_11
| ~ spl146_13
| ~ spl146_42
| ~ spl146_53 ),
inference(forward_subsumption_resolution,[],[f3762,f1960]) ).
fof(f3768,plain,
( spl146_2
| ~ spl146_11
| ~ spl146_13
| ~ spl146_42
| ~ spl146_53 ),
inference(avatar_contradiction_clause,[],[f3767]) ).
cnf(s1,plain,
spl146_1,
inference(sat_conversion,[],[f1643]) ).
cnf(s2,plain,
~ spl146_2,
inference(sat_conversion,[],[f1685]) ).
cnf(s9,plain,
( ~ spl146_1
| spl146_9 ),
inference(sat_conversion,[],[f1874]) ).
cnf(s12,plain,
( ~ spl146_1
| spl146_11 ),
inference(sat_conversion,[],[f1979]) ).
cnf(s18,plain,
( spl146_2
| ~ spl146_11
| ~ spl146_13
| ~ spl146_19 ),
inference(sat_conversion,[],[f2281]) ).
cnf(s19,plain,
( ~ spl146_1
| spl146_13 ),
inference(sat_conversion,[],[f2298]) ).
cnf(s27,plain,
( ~ spl146_9
| ~ spl146_11
| spl146_27 ),
inference(sat_conversion,[],[f2680]) ).
cnf(s31,plain,
( ~ spl146_13
| ~ spl146_27
| spl146_31 ),
inference(sat_conversion,[],[f2828]) ).
cnf(s32,plain,
( ~ spl146_9
| ~ spl146_11
| spl146_32 ),
inference(sat_conversion,[],[f2914]) ).
cnf(s40,plain,
( ~ spl146_31
| spl146_41 ),
inference(sat_conversion,[],[f3210]) ).
cnf(s44,plain,
( ~ spl146_41
| spl146_42 ),
inference(sat_conversion,[],[f3329]) ).
cnf(s54,plain,
( ~ spl146_13
| ~ spl146_32
| spl146_52 ),
inference(sat_conversion,[],[f3659]) ).
cnf(s55,plain,
( spl146_19
| ~ spl146_52
| spl146_53 ),
inference(sat_conversion,[],[f3745]) ).
cnf(s60,plain,
( spl146_2
| ~ spl146_11
| ~ spl146_13
| ~ spl146_42
| ~ spl146_53 ),
inference(sat_conversion,[],[f3768]) ).
cnf(s64,plain,
spl146_13,
inference(rat,[],[s19,s1]) ).
cnf(s65,plain,
spl146_11,
inference(rat,[],[s12,s1]) ).
cnf(s66,plain,
spl146_9,
inference(rat,[],[s9,s1]) ).
cnf(s82,plain,
~ spl146_19,
inference(rat,[],[s18,s64,s2,s65]) ).
cnf(s89,plain,
spl146_32,
inference(rat,[],[s32,s65,s66]) ).
cnf(s90,plain,
spl146_27,
inference(rat,[],[s27,s65,s66]) ).
cnf(s94,plain,
spl146_52,
inference(rat,[],[s54,s64,s89]) ).
cnf(s95,plain,
spl146_31,
inference(rat,[],[s31,s64,s90]) ).
cnf(s99,plain,
spl146_53,
inference(rat,[],[s55,s82,s94]) ).
cnf(s100,plain,
spl146_41,
inference(rat,[],[s40,s95]) ).
cnf(s101,plain,
~ spl146_42,
inference(rat,[],[s60,s65,s64,s2,s99]) ).
cnf(s102,plain,
$false,
inference(rat,[],[s44,s101,s100]) ).
fof(f3769,plain,
$false,
inference(avatar_sat_refutation,[],[s102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX059+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 14:58:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.15/1.50 % (3461324)Detected formulas, will run a generic FOF schedule.
% 4.15/1.50 % (3461331)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2017325942:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.15/1.50 % (3461330)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=432964729:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.15/1.50 % (3461329)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3380826096:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.15/1.50 % (3461334)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2446072271:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.15/1.50 % (3461333)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2850981859:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.15/1.50 % (3461332)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2965856301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.15/1.50 % (3461335)dis-21_1_sil=8000:lcm=predicate:random_seed=1015396543:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.15/1.50 % (3461332)Instruction limit reached!
% 4.15/1.50 % (3461332)------------------------------
% 4.15/1.50 % (3461332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461332)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461332)Termination reason: Instruction limit
% 4.15/1.50 % (3461332)Termination phase: Saturation
% 4.15/1.50 % (3461332)Time elapsed: 0.058 s
% 4.15/1.50 % (3461332)Peak memory usage: 89 MB
% 4.15/1.50 % (3461332)Instructions burned: 110 (million)
% 4.15/1.50 % (3461333)Instruction limit reached!
% 4.15/1.50 % (3461333)------------------------------
% 4.15/1.50 % (3461333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461333)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461333)Termination reason: Instruction limit
% 4.15/1.50 % (3461333)Termination phase: Saturation
% 4.15/1.50 % (3461333)Time elapsed: 0.074 s
% 4.15/1.50 % (3461333)Peak memory usage: 89 MB
% 4.15/1.50 % (3461333)Instructions burned: 120 (million)
% 4.15/1.50 % (3461335)Instruction limit reached!
% 4.15/1.50 % (3461335)------------------------------
% 4.15/1.50 % (3461335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461335)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461335)Termination reason: Instruction limit
% 4.15/1.50 % (3461335)Termination phase: Saturation
% 4.15/1.50 % (3461335)Time elapsed: 0.082 s
% 4.15/1.50 % (3461335)Peak memory usage: 90 MB
% 4.15/1.50 % (3461335)Instructions burned: 130 (million)
% 4.15/1.50 % (3461334)Instruction limit reached!
% 4.15/1.50 % (3461334)------------------------------
% 4.15/1.50 % (3461334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461334)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461334)Termination reason: Instruction limit
% 4.15/1.50 % (3461334)Termination phase: Saturation
% 4.15/1.50 % (3461334)Time elapsed: 0.096 s
% 4.15/1.50 % (3461334)Peak memory usage: 91 MB
% 4.15/1.50 % (3461334)Instructions burned: 139 (million)
% 4.15/1.50 % (3461344)lrs+10_1_sil=32000:urr=on:br=off:random_seed=893118592:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.15/1.50 % (3461343)lrs+10_1_sil=8000:sp=occurrence:random_seed=2096574529:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.15/1.50 % (3461345)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3311976092:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.15/1.50 % (3461346)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3963007377:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.15/1.50 % (3461344)Instruction limit reached!
% 4.15/1.50 % (3461344)------------------------------
% 4.15/1.50 % (3461344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461344)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461344)Termination reason: Instruction limit
% 4.15/1.50 % (3461344)Termination phase: Saturation
% 4.15/1.50 % (3461344)Time elapsed: 0.078 s
% 4.15/1.50 % (3461344)Peak memory usage: 91 MB
% 4.15/1.50 % (3461344)Instructions burned: 158 (million)
% 4.15/1.50 % (3461346)Instruction limit reached!
% 4.15/1.50 % (3461346)------------------------------
% 4.15/1.50 % (3461346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461346)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461346)Termination reason: Instruction limit
% 4.15/1.50 % (3461346)Termination phase: Saturation
% 4.15/1.50 % (3461346)Time elapsed: 0.137 s
% 4.15/1.50 % (3461346)Peak memory usage: 93 MB
% 4.15/1.50 % (3461346)Instructions burned: 249 (million)
% 4.15/1.50 % (3461343)Instruction limit reached!
% 4.15/1.50 % (3461343)------------------------------
% 4.15/1.50 % (3461343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461343)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461343)Termination reason: Instruction limit
% 4.15/1.50 % (3461343)Termination phase: Saturation
% 4.15/1.50 % (3461343)Time elapsed: 0.188 s
% 4.15/1.50 % (3461343)Peak memory usage: 93 MB
% 4.15/1.50 % (3461343)Instructions burned: 285 (million)
% 4.15/1.50 % (3461351)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1138456616:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.15/1.50 % (3461345)Instruction limit reached!
% 4.15/1.50 % (3461345)------------------------------
% 4.15/1.50 % (3461345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461345)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461345)Termination reason: Instruction limit
% 4.15/1.50 % (3461345)Termination phase: Saturation
% 4.15/1.50 % (3461345)Time elapsed: 0.197 s
% 4.15/1.50 % (3461345)Peak memory usage: 91 MB
% 4.15/1.50 % (3461345)Instructions burned: 326 (million)
% 4.15/1.50 % (3461352)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3526514532:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.15/1.50 % (3461353)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2038913180:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.15/1.50 % (3461331)First to succeed.
% 4.15/1.50 % (3461331)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3461324"
% 4.15/1.50 % (3461355)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2561035952:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.15/1.50 % (3461351)Instruction limit reached!
% 4.15/1.50 % (3461351)------------------------------
% 4.15/1.50 % (3461351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461351)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461351)Termination reason: Instruction limit
% 4.15/1.50 % (3461351)Termination phase: Saturation
% 4.15/1.50 % (3461351)Time elapsed: 0.169 s
% 4.15/1.50 % (3461351)Peak memory usage: 90 MB
% 4.15/1.50 % (3461351)Instructions burned: 294 (million)
% 4.15/1.50 % (3461353)Instruction limit reached!
% 4.15/1.50 % (3461353)------------------------------
% 4.15/1.50 % (3461353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461353)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461353)Termination reason: Instruction limit
% 4.15/1.50 % (3461353)Termination phase: Saturation
% 4.15/1.50 % (3461353)Time elapsed: 0.074 s
% 4.15/1.50 % (3461353)Peak memory usage: 91 MB
% 4.15/1.50 % (3461353)Instructions burned: 113 (million)
% 4.15/1.50 % (3461355)Instruction limit reached!
% 4.15/1.50 % (3461355)------------------------------
% 4.15/1.50 % (3461355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.50 % (3461355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.50 % (3461355)CaDiCaL version: 2.1.3
% 4.15/1.50 % (3461355)Termination reason: Instruction limit
% 4.15/1.50 % (3461355)Termination phase: Saturation
% 4.15/1.50 % (3461355)Time elapsed: 0.067 s
% 4.15/1.50 % (3461355)Peak memory usage: 90 MB
% 4.15/1.50 % (3461355)Instructions burned: 128 (million)
% 4.15/1.50 % (3461331)Refutation found. Thanks to Tanya!
% 4.15/1.50 % SZS status Theorem for theBenchmark
% 4.15/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 6.41/1.69 % (3461331)------------------------------
% 6.41/1.69 % (3461331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.69 % (3461331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.69 % (3461331)CaDiCaL version: 2.1.3
% 6.41/1.69 % (3461331)Termination reason: Refutation
% 6.41/1.69 % (3461331)Time elapsed: 0.545 s
% 6.41/1.69 % (3461331)Peak memory usage: 136 MB
% 6.41/1.69 % (3461331)Instructions burned: 1454 (million)
% 6.41/1.69 % (3461331)------------------------------
% 6.41/1.69 % (3461331)------------------------------
% 6.41/1.69 % (3461324)Success in time 0.83 s
% 6.41/1.69 % Vampire exiting
%------------------------------------------------------------------------------