%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC313+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:05:30 PM UTC 2026
% Result : Theorem 4.43s 0.93s
% Output : Refutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 117 ( 16 unt; 8 def)
% Number of atoms : 390 ( 118 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 444 ( 171 ~; 208 |; 42 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 65 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3 ) )
| ( nil != X2
& nil = X3 )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X1
& app(X7,cons(X6,nil)) = X0 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3 ) )
| ( nil != X2
& nil = X3 )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X1
& app(X7,cons(X6,nil)) = X0 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2
| app(cons(X4,nil),X5) != X3 ) )
& ( nil = X2
| nil != X3 )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X1
| app(X7,cons(X6,nil)) != X0 ) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2
| app(cons(X4,nil),X5) != X3 ) )
& ( nil = X2
| nil != X3 )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X1
| app(X7,cons(X6,nil)) != X0 ) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f310,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f311,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK44(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f312,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK43(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f392,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f411,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK47
| app(cons(X6,nil),X7) != sK48
| ~ ssList(X7)
| ~ ssItem(X6)
| nil != sK47 ),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK47
| app(cons(X6,nil),X7) != sK48
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sK48 ),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
! [X4,X5] :
( app(cons(X4,nil),X5) != sK50
| app(X5,cons(X4,nil)) = sK49
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
( neq(sK48,nil)
| nil != sK47 ),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
( neq(sK50,nil)
| nil != sK49 ),
inference(definition_unfolding,[],[f414,f419,f418]) ).
fof(f427,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK49
| app(cons(X6,nil),X7) != sK50
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sK50 ),
inference(definition_unfolding,[],[f412,f418,f419,f419]) ).
fof(f428,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK49
| app(cons(X6,nil),X7) != sK50
| ~ ssList(X7)
| ~ ssItem(X6)
| nil != sK49 ),
inference(definition_unfolding,[],[f411,f418,f419,f418]) ).
fof(f443,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f533,plain,
! [X1] :
( ssList(X1)
| ssList(X1)
| ~ neq(X1,X1) ),
inference(consistent_polarity_flipping,[],[f443]) ).
fof(f540,plain,
! [X0] :
( ~ ssList(sK43(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f312]) ).
fof(f541,plain,
! [X0] :
( ~ ssItem(sK44(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f311]) ).
fof(f542,plain,
! [X0] :
( ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f310]) ).
fof(f616,plain,
! [X0,X1] :
( ssList(X0)
| ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(consistent_polarity_flipping,[],[f392]) ).
fof(f637,plain,
~ ssList(sK49),
inference(consistent_polarity_flipping,[],[f420]) ).
fof(f638,plain,
~ ssList(sK50),
inference(consistent_polarity_flipping,[],[f417]) ).
fof(f639,plain,
! [X4,X5] :
( app(cons(X4,nil),X5) != sK50
| app(X5,cons(X4,nil)) = sK49
| ssList(X5)
| ssItem(X4) ),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f640,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK49
| app(cons(X6,nil),X7) != sK50
| ssList(X7)
| ssItem(X6)
| nil = sK50 ),
inference(consistent_polarity_flipping,[],[f427]) ).
fof(f641,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK49
| app(cons(X6,nil),X7) != sK50
| ssList(X7)
| ssItem(X6)
| nil != sK49 ),
inference(consistent_polarity_flipping,[],[f428]) ).
fof(f646,plain,
! [X1] :
( ~ neq(X1,X1)
| ssList(X1) ),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f650,definition,
( spl51_1
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f651,plain,
( nil = sK49
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f654,definition,
( spl51_2
<=> ! [X6,X7] :
( app(X7,cons(X6,nil)) != sK49
| ssItem(X6)
| ssList(X7)
| app(cons(X6,nil),X7) != sK50 ) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f655,plain,
( ! [X6,X7] :
( app(X7,cons(X6,nil)) != sK49
| ssItem(X6)
| ssList(X7)
| app(cons(X6,nil),X7) != sK50 )
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( ~ spl51_1
| spl51_2 ),
inference(avatar_split_clause,[],[f641,f654,f650]) ).
fof(f658,definition,
( spl51_3
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f659,plain,
( nil != sK50
| spl51_3 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f661,plain,
( spl51_3
| spl51_2 ),
inference(avatar_split_clause,[],[f640,f654,f658]) ).
fof(f663,definition,
( spl51_4
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f665,plain,
( neq(sK50,nil)
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f666,plain,
( ~ spl51_1
| spl51_4 ),
inference(avatar_split_clause,[],[f426,f663,f650]) ).
fof(f668,plain,
( spl51_1
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f416,f658,f650]) ).
fof(f701,plain,
( ! [X6,X7] :
( app(cons(X6,nil),X7) != sK50
| ssList(X7)
| ssItem(X6) )
| ~ spl51_2 ),
inference(forward_subsumption_resolution,[],[f655,f639]) ).
fof(f702,plain,
( neq(sK50,sK49)
| ~ spl51_1
| ~ spl51_4 ),
inference(forward_demodulation,[],[f665,f651]) ).
fof(f1095,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| nil = sK50 ),
inference(resolution,[],[f542,f638]) ).
fof(f1096,plain,
( sK49 = sK50
| sK50 = cons(sK44(sK50),sK43(sK50))
| ~ spl51_1 ),
inference(forward_demodulation,[],[f1095,f651]) ).
fof(f1123,definition,
( spl51_15
<=> sK50 = cons(sK44(sK50),sK43(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_15])],[avatar_definition]) ).
fof(f1125,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1127,definition,
( spl51_16
<=> sK49 = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_16])],[avatar_definition]) ).
fof(f1128,plain,
( sK49 != sK50
| spl51_16 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1129,plain,
( sK49 = sK50
| ~ spl51_16 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1130,plain,
( spl51_15
| spl51_16
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f1096,f650,f1127,f1123]) ).
fof(f1139,definition,
( spl51_17
<=> ssList(sK43(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_17])],[avatar_definition]) ).
fof(f1140,plain,
( ~ ssList(sK43(sK50))
| spl51_17 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1141,plain,
( ssList(sK43(sK50))
| ~ spl51_17 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1143,definition,
( spl51_18
<=> ssItem(sK44(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_18])],[avatar_definition]) ).
fof(f1144,plain,
( ~ ssItem(sK44(sK50))
| spl51_18 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1145,plain,
( ssItem(sK44(sK50))
| ~ spl51_18 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1158,plain,
( ssList(sK50)
| nil = sK50
| ~ spl51_17 ),
inference(resolution,[],[f1141,f540]) ).
fof(f1159,plain,
( nil = sK50
| ~ spl51_17 ),
inference(forward_subsumption_resolution,[],[f1158,f638]) ).
fof(f1160,plain,
( sK49 = sK50
| ~ spl51_1
| ~ spl51_17 ),
inference(forward_demodulation,[],[f1159,f651]) ).
fof(f1161,plain,
( spl51_16
| ~ spl51_1
| ~ spl51_17 ),
inference(avatar_split_clause,[],[f1160,f1139,f650,f1127]) ).
fof(f1163,plain,
( neq(sK49,sK49)
| ~ spl51_1
| ~ spl51_4
| ~ spl51_16 ),
inference(superposition,[],[f702,f1129]) ).
fof(f1173,plain,
( ssList(sK49)
| ~ spl51_1
| ~ spl51_4
| ~ spl51_16 ),
inference(resolution,[],[f1163,f646]) ).
fof(f1174,plain,
( $false
| ~ spl51_1
| ~ spl51_4
| ~ spl51_16 ),
inference(forward_subsumption_resolution,[],[f1173,f637]) ).
fof(f1175,plain,
( ~ spl51_1
| ~ spl51_4
| ~ spl51_16 ),
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1212,plain,
( ssList(sK50)
| nil = sK50
| ~ spl51_18 ),
inference(resolution,[],[f1145,f541]) ).
fof(f1213,plain,
( nil = sK50
| ~ spl51_18 ),
inference(forward_subsumption_resolution,[],[f1212,f638]) ).
fof(f1214,plain,
( sK49 = sK50
| ~ spl51_1
| ~ spl51_18 ),
inference(forward_demodulation,[],[f1213,f651]) ).
fof(f1215,plain,
( $false
| ~ spl51_1
| spl51_16
| ~ spl51_18 ),
inference(forward_subsumption_resolution,[],[f1214,f1128]) ).
fof(f1216,plain,
( ~ spl51_1
| spl51_16
| ~ spl51_18 ),
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f2544,plain,
( ! [X0] :
( ssItem(X0)
| cons(X0,sK43(sK50)) = app(cons(X0,nil),sK43(sK50)) )
| spl51_17 ),
inference(resolution,[],[f616,f1140]) ).
fof(f4312,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f1095,f659]) ).
fof(f4552,plain,
( spl51_15
| spl51_3 ),
inference(avatar_split_clause,[],[f4312,f658,f1123]) ).
fof(f5945,plain,
( cons(sK44(sK50),sK43(sK50)) = app(cons(sK44(sK50),nil),sK43(sK50))
| spl51_17
| spl51_18 ),
inference(resolution,[],[f2544,f1144]) ).
fof(f5947,plain,
( sK50 = app(cons(sK44(sK50),nil),sK43(sK50))
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(forward_demodulation,[],[f5945,f1125]) ).
fof(f6105,plain,
( sK50 != sK50
| ssList(sK43(sK50))
| ssItem(sK44(sK50))
| ~ spl51_2
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(superposition,[],[f701,f5947]) ).
fof(f6113,plain,
( ssList(sK43(sK50))
| ssItem(sK44(sK50))
| ~ spl51_2
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(trivial_inequality_removal,[],[f6105]) ).
fof(f6117,plain,
( ssItem(sK44(sK50))
| ~ spl51_2
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(forward_subsumption_resolution,[],[f6113,f1140]) ).
fof(f6129,plain,
( $false
| ~ spl51_2
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(forward_subsumption_resolution,[],[f6117,f1144]) ).
fof(f6130,plain,
( ~ spl51_2
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(avatar_contradiction_clause,[],[f6129]) ).
fof(f6131,plain,
( $false
| spl51_3
| ~ spl51_18 ),
inference(forward_subsumption_resolution,[],[f1213,f659]) ).
fof(f6132,plain,
( spl51_3
| ~ spl51_18 ),
inference(avatar_contradiction_clause,[],[f6131]) ).
fof(f6133,plain,
( $false
| spl51_3
| ~ spl51_17 ),
inference(forward_subsumption_resolution,[],[f1159,f659]) ).
fof(f6134,plain,
( spl51_3
| ~ spl51_17 ),
inference(avatar_contradiction_clause,[],[f6133]) ).
cnf(s1,plain,
( ~ spl51_1
| spl51_2 ),
inference(sat_conversion,[],[f656]) ).
cnf(s2,plain,
( spl51_2
| spl51_3 ),
inference(sat_conversion,[],[f661]) ).
cnf(s3,plain,
( ~ spl51_1
| spl51_4 ),
inference(sat_conversion,[],[f666]) ).
cnf(s5,plain,
( spl51_1
| ~ spl51_3 ),
inference(sat_conversion,[],[f668]) ).
cnf(s16,plain,
( ~ spl51_1
| spl51_15
| spl51_16 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s20,plain,
( ~ spl51_1
| spl51_16
| ~ spl51_17 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s21,plain,
( ~ spl51_1
| ~ spl51_4
| ~ spl51_16 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s25,plain,
( ~ spl51_1
| spl51_16
| ~ spl51_18 ),
inference(sat_conversion,[],[f1216]) ).
cnf(s294,plain,
( spl51_3
| spl51_15 ),
inference(sat_conversion,[],[f4552]) ).
cnf(s396,plain,
( ~ spl51_2
| ~ spl51_15
| spl51_17
| spl51_18 ),
inference(sat_conversion,[],[f6130]) ).
cnf(s397,plain,
( spl51_3
| ~ spl51_18 ),
inference(sat_conversion,[],[f6132]) ).
cnf(s398,plain,
( spl51_3
| ~ spl51_17 ),
inference(sat_conversion,[],[f6134]) ).
cnf(s419,plain,
spl51_3,
inference(rat,[],[s396,s2,s294,s397,s398]) ).
cnf(s420,plain,
spl51_1,
inference(rat,[],[s5,s419]) ).
cnf(s427,plain,
spl51_4,
inference(rat,[],[s3,s420]) ).
cnf(s428,plain,
spl51_2,
inference(rat,[],[s1,s420]) ).
cnf(s429,plain,
~ spl51_16,
inference(rat,[],[s21,s420,s427]) ).
cnf(s433,plain,
~ spl51_18,
inference(rat,[],[s25,s420,s429]) ).
cnf(s434,plain,
~ spl51_17,
inference(rat,[],[s20,s420,s429]) ).
cnf(s435,plain,
spl51_15,
inference(rat,[],[s16,s420,s429]) ).
cnf(s439,plain,
$false,
inference(rat,[],[s396,s433,s428,s434,s435]) ).
fof(f6143,plain,
$false,
inference(avatar_sat_refutation,[],[s439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC313+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.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 09:05:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.43/0.93 % (3493421)Will run a generic schedule for satisfiability detection.
% 4.43/0.93 % (3493430)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=716153154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.43/0.93 % (3493427)% WARNING: option uhcvi not known.
% 4.43/0.93 % (3493426)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4168662706_2999 on theBenchmark for (2999ds/0Mi)
% 4.43/0.93 % (3493429)dis+10_1_sil=32000:sp=arity:random_seed=3639542358:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.43/0.93 % (3493427)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1964694672:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.43/0.93 % (3493428)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=689387972:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.43/0.93 % (3493431)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2225306548:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.43/0.93 % (3493432)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2592603270:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.43/0.93 % TRYING [1]
% 4.43/0.93 % TRYING [2]
% 4.43/0.93 % TRYING [3]
% 4.43/0.93 % (3493430)Instruction limit reached!
% 4.43/0.93 % (3493430)------------------------------
% 4.43/0.93 % (3493430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493430)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493430)Termination reason: Instruction limit
% 4.43/0.93 % (3493430)Termination phase: Saturation
% 4.43/0.93 % (3493430)Time elapsed: 0.037 s
% 4.43/0.93 % (3493430)Peak memory usage: 13 MB
% 4.43/0.93 % (3493430)Instructions burned: 118 (million)
% 4.43/0.93 % TRYING [4]
% 4.43/0.93 % (3493440)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2460785439:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.43/0.93 % TRYING [1]
% 4.43/0.93 % TRYING [2]
% 4.43/0.93 % TRYING [3]
% 4.43/0.93 % TRYING [4]
% 4.43/0.93 % (3493429)Instruction limit reached!
% 4.43/0.93 % (3493429)------------------------------
% 4.43/0.93 % (3493429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493429)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493429)Termination reason: Instruction limit
% 4.43/0.93 % (3493429)Termination phase: Saturation
% 4.43/0.93 % (3493429)Time elapsed: 0.061 s
% 4.43/0.93 % (3493429)Peak memory usage: 13 MB
% 4.43/0.93 % (3493429)Instructions burned: 105 (million)
% 4.43/0.93 % (3493431)Instruction limit reached!
% 4.43/0.93 % (3493431)------------------------------
% 4.43/0.93 % (3493431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493431)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493431)Termination reason: Instruction limit
% 4.43/0.93 % (3493431)Termination phase: Saturation
% 4.43/0.93 % (3493431)Time elapsed: 0.076 s
% 4.43/0.93 % (3493431)Peak memory usage: 14 MB
% 4.43/0.93 % (3493431)Instructions burned: 131 (million)
% 4.43/0.93 % (3493442)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2703078828:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.43/0.93 % TRYING [5]
% 4.43/0.93 % TRYING [5]
% 4.43/0.93 % (3493443)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1058302993:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.43/0.93 % (3493432)Instruction limit reached!
% 4.43/0.93 % (3493432)------------------------------
% 4.43/0.93 % (3493432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493432)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493432)Termination reason: Instruction limit
% 4.43/0.93 % (3493432)Termination phase: Saturation
% 4.43/0.93 % (3493432)Time elapsed: 0.099 s
% 4.43/0.93 % (3493432)Peak memory usage: 15 MB
% 4.43/0.93 % (3493432)Instructions burned: 160 (million)
% 4.43/0.93 % (3493446)ott-21_1_sil=16000:fs=off:random_seed=1139991001:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.43/0.93 % (3493442)Instruction limit reached!
% 4.43/0.93 % (3493442)------------------------------
% 4.43/0.93 % (3493442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493442)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493442)Termination reason: Instruction limit
% 4.43/0.93 % (3493442)Termination phase: Saturation
% 4.43/0.93 % (3493442)Time elapsed: 0.072 s
% 4.43/0.93 % (3493442)Peak memory usage: 13 MB
% 4.43/0.93 % (3493442)Instructions burned: 131 (million)
% 4.43/0.93 % (3493448)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1768585752:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.43/0.93 % TRYING [6]
% 4.43/0.93 % (3493440)Instruction limit reached!
% 4.43/0.93 % (3493440)------------------------------
% 4.43/0.93 % (3493440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493440)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493440)Termination reason: Instruction limit
% 4.43/0.93 % (3493440)Termination phase: Finite model building constraint generation
% 4.43/0.93 % (3493440)Time elapsed: 0.157 s
% 4.43/0.93 % (3493440)Peak memory usage: 28 MB
% 4.43/0.93 % (3493440)Instructions burned: 720 (million)
% 4.43/0.93 % (3493450)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=373648010:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.43/0.93 % (3493446)Instruction limit reached!
% 4.43/0.93 % (3493446)------------------------------
% 4.43/0.93 % (3493446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493446)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493446)Termination reason: Instruction limit
% 4.43/0.93 % (3493446)Termination phase: Saturation
% 4.43/0.93 % (3493446)Time elapsed: 0.092 s
% 4.43/0.93 % (3493446)Peak memory usage: 14 MB
% 4.43/0.93 % (3493446)Instructions burned: 181 (million)
% 4.43/0.93 % TRYING [6]
% 4.43/0.93 % TRYING [1]
% 4.43/0.93 % TRYING [2]
% 4.43/0.93 % TRYING [3]
% 4.43/0.93 % (3493452)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=192861598:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.43/0.93 % TRYING [4]
% 4.43/0.93 % TRYING [5]
% 4.43/0.93 % (3493450)Instruction limit reached!
% 4.43/0.93 % (3493450)------------------------------
% 4.43/0.93 % (3493450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493450)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493450)Termination reason: Instruction limit
% 4.43/0.93 % (3493450)Termination phase: Finite model building SAT solving
% 4.43/0.93 % (3493450)Time elapsed: 0.182 s
% 4.43/0.93 % (3493450)Peak memory usage: 23 MB
% 4.43/0.93 % (3493450)Instructions burned: 867 (million)
% 4.43/0.93 % (3493454)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2337762530:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.43/0.93 % TRYING [14]
% 4.43/0.93 % (3493443)Instruction limit reached!
% 4.43/0.93 % (3493443)------------------------------
% 4.43/0.93 % (3493443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493443)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493443)Termination reason: Instruction limit
% 4.43/0.93 % (3493443)Termination phase: Saturation
% 4.43/0.93 % (3493443)Time elapsed: 0.373 s
% 4.43/0.93 % (3493443)Peak memory usage: 22 MB
% 4.43/0.93 % (3493443)Instructions burned: 686 (million)
% 4.43/0.93 % (3493448)Instruction limit reached!
% 4.43/0.93 % (3493448)------------------------------
% 4.43/0.93 % (3493448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493448)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493448)Termination reason: Instruction limit
% 4.43/0.93 % (3493448)Termination phase: Saturation
% 4.43/0.93 % (3493448)Time elapsed: 0.316 s
% 4.43/0.93 % (3493448)Peak memory usage: 14 MB
% 4.43/0.93 % (3493448)Instructions burned: 477 (million)
% 4.43/0.93 % (3493456)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1394508580:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.43/0.93 % TRYING [7]
% 4.43/0.93 % (3493457)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4092298307:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.43/0.93 % (3493454)Instruction limit reached!
% 4.43/0.93 % (3493454)------------------------------
% 4.43/0.93 % (3493454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493454)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493454)Termination reason: Instruction limit
% 4.43/0.93 % (3493454)Termination phase: Finite model building constraint generation
% 4.43/0.93 % (3493454)Time elapsed: 0.183 s
% 4.43/0.93 % (3493454)Peak memory usage: 75 MB
% 4.43/0.93 % (3493454)Instructions burned: 889 (million)
% 4.43/0.93 % (3493460)fmb+10_1_sil=64000:random_seed=3946844486:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.43/0.93 % TRYING [1]
% 4.43/0.93 % TRYING [2]
% 4.43/0.93 % TRYING [3]
% 4.43/0.93 % TRYING [4]
% 4.43/0.93 % (3493456) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3493421-3493456"...
% 4.43/0.93 % (3493456)...printing done.
% 4.43/0.93 % (3493456)Refutation found. Thanks to Tanya!
% 4.43/0.93 % SZS status Theorem for theBenchmark
% 4.43/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 4.43/0.93 % (3493456)------------------------------
% 4.43/0.93 % (3493456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/0.93 % (3493456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/0.93 % (3493456)CaDiCaL version: 2.1.3
% 4.43/0.93 % (3493456)Termination reason: Refutation
% 4.43/0.93 % (3493456)Time elapsed: 0.165 s
% 4.43/0.93 % (3493456)Peak memory usage: 17 MB
% 4.43/0.93 % (3493456)Instructions burned: 283 (million)
% 4.43/0.93 % (3493421)Success in time 0.707 s
% 4.43/0.93 % Vampire exiting
%------------------------------------------------------------------------------