%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC420+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:05:58 PM UTC 2026
% Result : Theorem 56.29s 9.51s
% Output : Refutation 56.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 137 ( 18 unt; 6 def)
% Number of atoms : 481 ( 119 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 579 ( 235 ~; 270 |; 43 &)
% ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn 88 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X1
& app(app(X6,cons(X4,nil)),X5) = X0 ) ) )
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) != X2
& app(cons(X7,nil),X8) = X3 ) )
| ( nil != X2
& nil = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X1
& app(app(X6,cons(X4,nil)),X5) = X0 ) ) )
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) != X2
& app(cons(X7,nil),X8) = X3 ) )
| ( nil != X2
& nil = X3 ) ) ) ) ),
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(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
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(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != X0 ) ) )
& ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) = X2
| app(cons(X7,nil),X8) != X3 ) )
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f273,plain,
! [X0] :
( nil = X0
| ( ssList(sK49(X0))
& ssItem(sK50(X0))
& cons(sK50(X0),sK49(X0)) = X0 )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X1,sK49(X0)),skolemize(X2,sK50(X0))],[f124]) ).
fof(f295,plain,
( ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& neq(sK54,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK54
| app(app(X6,cons(X4,nil)),X5) != sK53 ) ) )
& ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) = sK55
| app(cons(X7,nil),X8) != sK56 ) )
& ( nil = sK55
| nil != sK56 )
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f221]) ).
fof(f385,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f387,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f392,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK50(X0),sK49(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f393,plain,
! [X0] :
( ssItem(sK50(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f394,plain,
! [X0] :
( ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f396,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f397,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f398,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f402,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f476,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f481,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f497,plain,
ssList(sK55),
inference(cnf_transformation,[],[f295]) ).
fof(f499,plain,
! [X8,X7] :
( app(cons(X7,nil),X8) != sK56
| ~ ssList(X8)
| app(X8,cons(X7,nil)) = sK55
| ~ ssItem(X7) ),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
! [X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK54
| app(app(X6,cons(X4,nil)),X5) != sK53 ),
inference(cnf_transformation,[],[f295]) ).
fof(f501,plain,
neq(sK54,nil),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
ssList(sK56),
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
neq(sK56,nil),
inference(definition_unfolding,[],[f501,f503]) ).
fof(f506,plain,
! [X6,X4,X5] :
( app(app(X6,cons(X4,nil)),X5) != sK55
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK56
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f500,f503,f502]) ).
fof(f523,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f385]) ).
fof(f540,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f561,definition,
( spl57_6
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_6])],[avatar_definition]) ).
fof(f562,plain,
( nil = sK56
| ~ spl57_6 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f563,plain,
( nil != sK56
| spl57_6 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f943,plain,
sK55 = app(sK55,nil),
inference(resolution,[],[f481,f497]) ).
fof(f5254,definition,
( spl57_220
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_220])],[avatar_definition]) ).
fof(f5255,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_220 ),
inference(avatar_component_clause,[],[f5254]) ).
fof(f5256,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_220 ),
inference(avatar_component_clause,[],[f5254]) ).
fof(f5262,definition,
( spl57_222
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_222])],[avatar_definition]) ).
fof(f5263,plain,
( ~ ssItem(hd(sK56))
| spl57_222 ),
inference(avatar_component_clause,[],[f5262]) ).
fof(f5264,plain,
( ssItem(hd(sK56))
| ~ spl57_222 ),
inference(avatar_component_clause,[],[f5262]) ).
fof(f5266,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_220 ),
inference(resolution,[],[f5256,f387]) ).
fof(f5267,plain,
( ~ ssItem(hd(sK56))
| spl57_220 ),
inference(forward_subsumption_resolution,[],[f5266,f388]) ).
fof(f5268,plain,
( ~ spl57_222
| spl57_220 ),
inference(avatar_split_clause,[],[f5267,f5254,f5262]) ).
fof(f5384,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_222 ),
inference(resolution,[],[f5263,f396]) ).
fof(f5385,plain,
( ~ ssList(sK56)
| spl57_6
| spl57_222 ),
inference(forward_subsumption_resolution,[],[f5384,f563]) ).
fof(f5386,plain,
( $false
| spl57_6
| spl57_222 ),
inference(forward_subsumption_resolution,[],[f5385,f504]) ).
fof(f5387,plain,
( spl57_6
| spl57_222 ),
inference(avatar_contradiction_clause,[],[f5386]) ).
fof(f5931,plain,
( neq(nil,nil)
| ~ spl57_6 ),
inference(superposition,[],[f505,f562]) ).
fof(f5969,plain,
( ~ ssList(nil)
| ~ spl57_6 ),
inference(resolution,[],[f5931,f540]) ).
fof(f5970,plain,
( $false
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f5969,f388]) ).
fof(f5971,plain,
~ spl57_6,
inference(avatar_contradiction_clause,[],[f5970]) ).
fof(f5984,plain,
( cons(hd(sK56),nil) = app(nil,cons(hd(sK56),nil))
| ~ spl57_220 ),
inference(resolution,[],[f5255,f402]) ).
fof(f12025,definition,
( spl57_451
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_451])],[avatar_definition]) ).
fof(f12026,plain,
( ssList(tl(sK56))
| ~ spl57_451 ),
inference(avatar_component_clause,[],[f12025]) ).
fof(f12027,plain,
( ~ ssList(tl(sK56))
| spl57_451 ),
inference(avatar_component_clause,[],[f12025]) ).
fof(f12029,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_451 ),
inference(resolution,[],[f12027,f398]) ).
fof(f12030,plain,
( ~ ssList(sK56)
| spl57_6
| spl57_451 ),
inference(forward_subsumption_resolution,[],[f12029,f563]) ).
fof(f12031,plain,
( $false
| spl57_6
| spl57_451 ),
inference(forward_subsumption_resolution,[],[f12030,f504]) ).
fof(f12032,plain,
( spl57_6
| spl57_451 ),
inference(avatar_contradiction_clause,[],[f12031]) ).
fof(f27369,definition,
( spl57_803
<=> ssItem(sK50(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_803])],[avatar_definition]) ).
fof(f27370,plain,
( ~ ssItem(sK50(sK56))
| spl57_803 ),
inference(avatar_component_clause,[],[f27369]) ).
fof(f27371,plain,
( ssItem(sK50(sK56))
| ~ spl57_803 ),
inference(avatar_component_clause,[],[f27369]) ).
fof(f27376,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_803 ),
inference(resolution,[],[f27370,f393]) ).
fof(f27377,plain,
( ~ ssList(sK56)
| spl57_6
| spl57_803 ),
inference(forward_subsumption_resolution,[],[f27376,f563]) ).
fof(f27378,plain,
( $false
| spl57_6
| spl57_803 ),
inference(forward_subsumption_resolution,[],[f27377,f504]) ).
fof(f27379,plain,
( spl57_6
| spl57_803 ),
inference(avatar_contradiction_clause,[],[f27378]) ).
fof(f132256,plain,
( sK56 = cons(sK50(sK56),sK49(sK56))
| nil = sK56 ),
inference(resolution,[],[f392,f504]) ).
fof(f132257,plain,
( sK56 = cons(sK50(sK56),sK49(sK56))
| spl57_6 ),
inference(forward_subsumption_resolution,[],[f132256,f563]) ).
fof(f132343,definition,
( spl57_1178
<=> ssList(sK49(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_1178])],[avatar_definition]) ).
fof(f132344,plain,
( ssList(sK49(sK56))
| ~ spl57_1178 ),
inference(avatar_component_clause,[],[f132343]) ).
fof(f132345,plain,
( ~ ssList(sK49(sK56))
| spl57_1178 ),
inference(avatar_component_clause,[],[f132343]) ).
fof(f132351,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_1178 ),
inference(resolution,[],[f132345,f394]) ).
fof(f132352,plain,
( ~ ssList(sK56)
| spl57_6
| spl57_1178 ),
inference(forward_subsumption_resolution,[],[f132351,f563]) ).
fof(f132353,plain,
( $false
| spl57_6
| spl57_1178 ),
inference(forward_subsumption_resolution,[],[f132352,f504]) ).
fof(f132354,plain,
( spl57_6
| spl57_1178 ),
inference(avatar_contradiction_clause,[],[f132353]) ).
fof(f132918,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK49(sK56))) = X0 )
| ~ spl57_1178 ),
inference(resolution,[],[f132344,f397]) ).
fof(f132919,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK49(sK56) = tl(cons(X0,sK49(sK56))) )
| ~ spl57_1178 ),
inference(resolution,[],[f132344,f399]) ).
fof(f135733,plain,
( sK50(sK56) = hd(cons(sK50(sK56),sK49(sK56)))
| ~ spl57_803
| ~ spl57_1178 ),
inference(resolution,[],[f132918,f27371]) ).
fof(f135736,plain,
( hd(sK56) = sK50(sK56)
| spl57_6
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_demodulation,[],[f135733,f132257]) ).
fof(f136493,plain,
( sK49(sK56) = tl(cons(sK50(sK56),sK49(sK56)))
| ~ spl57_803
| ~ spl57_1178 ),
inference(resolution,[],[f132919,f27371]) ).
fof(f136496,plain,
( tl(sK56) = sK49(sK56)
| spl57_6
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_demodulation,[],[f136493,f132257]) ).
fof(f136702,plain,
( sK56 = cons(sK50(sK56),tl(sK56))
| spl57_6
| ~ spl57_803
| ~ spl57_1178 ),
inference(superposition,[],[f132257,f136496]) ).
fof(f136724,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl57_6
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_demodulation,[],[f136702,f135736]) ).
fof(f224803,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK49(sK56)) = app(cons(X0,nil),sK49(sK56)) )
| ~ spl57_1178 ),
inference(resolution,[],[f476,f132344]) ).
fof(f224808,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| spl57_6
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_demodulation,[],[f224803,f136496]) ).
fof(f229866,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| spl57_6
| ~ spl57_222
| ~ spl57_803
| ~ spl57_1178 ),
inference(resolution,[],[f224808,f5264]) ).
fof(f229895,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| spl57_6
| ~ spl57_222
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_demodulation,[],[f229866,f136724]) ).
fof(f229940,plain,
( sK56 != sK56
| ~ ssList(tl(sK56))
| sK55 = app(tl(sK56),cons(hd(sK56),nil))
| ~ ssItem(hd(sK56))
| spl57_6
| ~ spl57_222
| ~ spl57_803
| ~ spl57_1178 ),
inference(superposition,[],[f499,f229895]) ).
fof(f229971,plain,
( ~ ssList(tl(sK56))
| sK55 = app(tl(sK56),cons(hd(sK56),nil))
| ~ ssItem(hd(sK56))
| spl57_6
| ~ spl57_222
| ~ spl57_803
| ~ spl57_1178 ),
inference(trivial_inequality_removal,[],[f229940]) ).
fof(f229977,plain,
( sK55 = app(tl(sK56),cons(hd(sK56),nil))
| ~ ssItem(hd(sK56))
| spl57_6
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f229971,f12026]) ).
fof(f229982,plain,
( sK55 = app(tl(sK56),cons(hd(sK56),nil))
| spl57_6
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f229977,f5264]) ).
fof(f239080,plain,
( ! [X0] :
( sK55 != app(sK55,X0)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| sK56 != app(app(X0,cons(hd(sK56),nil)),tl(sK56))
| ~ ssItem(hd(sK56)) )
| spl57_6
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(superposition,[],[f506,f229982]) ).
fof(f239104,plain,
( ! [X0] :
( sK55 != app(sK55,X0)
| ~ ssList(X0)
| sK56 != app(app(X0,cons(hd(sK56),nil)),tl(sK56))
| ~ ssItem(hd(sK56)) )
| spl57_6
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f239080,f12026]) ).
fof(f239111,plain,
( ! [X0] :
( sK56 != app(app(X0,cons(hd(sK56),nil)),tl(sK56))
| ~ ssList(X0)
| sK55 != app(sK55,X0) )
| spl57_6
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f239104,f5264]) ).
fof(f239122,plain,
( sK56 != app(cons(hd(sK56),nil),tl(sK56))
| ~ ssList(nil)
| sK55 != app(sK55,nil)
| spl57_6
| ~ spl57_220
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(superposition,[],[f239111,f5984]) ).
fof(f239125,plain,
( ~ ssList(nil)
| sK55 != app(sK55,nil)
| spl57_6
| ~ spl57_220
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f239122,f229895]) ).
fof(f239126,plain,
( sK55 != app(sK55,nil)
| spl57_6
| ~ spl57_220
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f239125,f388]) ).
fof(f239127,plain,
( $false
| spl57_6
| ~ spl57_220
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(forward_subsumption_resolution,[],[f239126,f943]) ).
fof(f239128,plain,
( spl57_6
| ~ spl57_220
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(avatar_contradiction_clause,[],[f239127]) ).
cnf(s2984,plain,
( spl57_220
| ~ spl57_222 ),
inference(sat_conversion,[],[f5268]) ).
cnf(s3045,plain,
( spl57_6
| spl57_222 ),
inference(sat_conversion,[],[f5387]) ).
cnf(s3357,plain,
~ spl57_6,
inference(sat_conversion,[],[f5971]) ).
cnf(s6504,plain,
( spl57_6
| spl57_451 ),
inference(sat_conversion,[],[f12032]) ).
cnf(s13000,plain,
( spl57_6
| spl57_803 ),
inference(sat_conversion,[],[f27379]) ).
cnf(s28558,plain,
( spl57_6
| spl57_1178 ),
inference(sat_conversion,[],[f132354]) ).
cnf(s57588,plain,
( spl57_6
| ~ spl57_220
| ~ spl57_222
| ~ spl57_451
| ~ spl57_803
| ~ spl57_1178 ),
inference(sat_conversion,[],[f239128]) ).
cnf(s57637,plain,
spl57_1178,
inference(rat,[],[s28558,s3357]) ).
cnf(s57638,plain,
spl57_803,
inference(rat,[],[s13000,s3357]) ).
cnf(s57639,plain,
spl57_451,
inference(rat,[],[s6504,s3357]) ).
cnf(s57673,plain,
spl57_222,
inference(rat,[],[s3045,s3357]) ).
cnf(s57682,plain,
~ spl57_220,
inference(rat,[],[s57588,s57637,s57638,s57639,s3357,s57673]) ).
cnf(s57687,plain,
$false,
inference(rat,[],[s2984,s57673,s57682]) ).
fof(f239129,plain,
$false,
inference(avatar_sat_refutation,[],[s57687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC420+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n017.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 09:29:06 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.77/2.38 % (3430080)Will run a generic schedule for satisfiability detection.
% 14.77/2.38 % (3430085)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1152332038_2999 on theBenchmark for (2999ds/0Mi)
% 14.77/2.38 % (3430088)dis+10_1_sil=32000:sp=arity:random_seed=4031343552:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.77/2.38 % (3430087)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=737628602:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.77/2.38 % (3430089)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3619854966:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.77/2.38 % (3430090)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=702310659:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.77/2.38 % (3430091)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=831117192:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.77/2.38 % TRYING [1]
% 14.77/2.38 % TRYING [2]
% 14.77/2.38 % (3430086)% WARNING: option uhcvi not known.
% 14.77/2.38 % TRYING [3]
% 14.77/2.38 % (3430086)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=914196522:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.77/2.38 % TRYING [4]
% 14.77/2.38 % TRYING [5]
% 14.77/2.38 % (3430088)Instruction limit reached!
% 14.77/2.38 % (3430088)------------------------------
% 14.77/2.38 % (3430088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.38 % (3430088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.38 % (3430088)CaDiCaL version: 2.1.3
% 14.77/2.38 % (3430088)Termination reason: Instruction limit
% 14.77/2.38 % (3430088)Termination phase: Saturation
% 14.77/2.38 % (3430088)Time elapsed: 0.061 s
% 14.77/2.38 % (3430088)Peak memory usage: 13 MB
% 14.77/2.38 % (3430088)Instructions burned: 104 (million)
% 14.77/2.38 % (3430089)Instruction limit reached!
% 14.77/2.38 % (3430089)------------------------------
% 14.77/2.38 % (3430089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.38 % (3430089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.38 % (3430089)CaDiCaL version: 2.1.3
% 14.77/2.38 % (3430089)Termination reason: Instruction limit
% 14.77/2.38 % (3430089)Termination phase: Saturation
% 14.77/2.38 % (3430089)Time elapsed: 0.065 s
% 14.77/2.38 % (3430089)Peak memory usage: 14 MB
% 14.77/2.38 % (3430089)Instructions burned: 116 (million)
% 14.77/2.38 % (3430090)Instruction limit reached!
% 14.77/2.38 % (3430090)------------------------------
% 14.77/2.38 % (3430090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.38 % (3430090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.38 % (3430090)CaDiCaL version: 2.1.3
% 14.77/2.38 % (3430090)Termination reason: Instruction limit
% 14.77/2.38 % (3430090)Termination phase: Saturation
% 14.77/2.38 % (3430090)Time elapsed: 0.078 s
% 14.77/2.38 % (3430090)Peak memory usage: 14 MB
% 14.77/2.38 % (3430090)Instructions burned: 132 (million)
% 14.77/2.38 % (3430099)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=162987694:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.77/2.38 % (3430100)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1868499066:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.77/2.38 % TRYING [1]
% 14.77/2.38 % TRYING [2]
% 14.77/2.38 % (3430101)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=999856583:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.77/2.38 % (3430091)Instruction limit reached!
% 14.77/2.38 % (3430091)------------------------------
% 14.77/2.38 % (3430091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.38 % (3430091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.38 % (3430091)CaDiCaL version: 2.1.3
% 14.77/2.38 % (3430091)Termination reason: Instruction limit
% 14.77/2.38 % (3430091)Termination phase: Saturation
% 14.77/2.38 % (3430091)Time elapsed: 0.100 s
% 14.77/2.38 % (3430091)Peak memory usage: 15 MB
% 14.77/2.38 % (3430091)Instructions burned: 159 (million)
% 14.77/2.38 % TRYING [3]
% 14.77/2.38 % TRYING [6]
% 14.77/2.38 % TRYING [4]
% 14.77/2.38 % (3430105)ott-21_1_sil=16000:fs=off:random_seed=820276457:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.77/2.38 % (3430100)Instruction limit reached!
% 14.77/2.38 % (3430100)------------------------------
% 14.77/2.38 % (3430100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.44/7.02 % (3430100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.44/7.02 % (3430100)CaDiCaL version: 2.1.3
% 47.44/7.02 % (3430100)Termination reason: Instruction limit
% 47.44/7.02 % (3430100)Termination phase: Saturation
% 47.44/7.02 % (3430100)Time elapsed: 0.072 s
% 47.44/7.02 % (3430100)Peak memory usage: 13 MB
% 47.44/7.02 % (3430100)Instructions burned: 132 (million)
% 47.44/7.02 % TRYING [5]
% 47.44/7.02 % (3430107)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3936252038:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 47.44/7.02 % (3430105)Instruction limit reached!
% 47.44/7.02 % (3430105)------------------------------
% 47.44/7.02 % (3430105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.44/7.02 % (3430105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.44/7.02 % (3430105)CaDiCaL version: 2.1.3
% 47.44/7.02 % (3430105)Termination reason: Instruction limit
% 47.44/7.02 % (3430105)Termination phase: Saturation
% 47.44/7.02 % (3430105)Time elapsed: 0.093 s
% 47.44/7.02 % (3430105)Peak memory usage: 14 MB
% 47.44/7.02 % (3430105)Instructions burned: 182 (million)
% 47.44/7.02 % (3430109)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3987477007:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 47.44/7.02 % TRYING [1]
% 47.44/7.02 % TRYING [2]
% 47.44/7.02 % TRYING [3]
% 47.44/7.02 % TRYING [7]
% 47.44/7.02 % TRYING [4]
% 47.44/7.02 % TRYING [6]
% 47.44/7.02 % (3430099)Instruction limit reached!
% 47.44/7.02 % (3430099)------------------------------
% 47.44/7.02 % (3430099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.44/7.02 % (3430099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.44/7.02 % (3430099)CaDiCaL version: 2.1.3
% 47.44/7.02 % (3430099)Termination reason: Instruction limit
% 47.44/7.02 % (3430099)Termination phase: Finite model building constraint generation
% 47.44/7.02 % (3430099)Time elapsed: 0.287 s
% 47.44/7.02 % (3430099)Peak memory usage: 28 MB
% 47.44/7.02 % (3430099)Instructions burned: 715 (million)
% 47.44/7.02 % (3430111)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3311084113:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 47.44/7.02 % TRYING [5]
% 47.44/7.02 % (3430101)Instruction limit reached!
% 47.44/7.02 % (3430101)------------------------------
% 47.44/7.02 % (3430101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.44/7.02 % (3430101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.44/7.02 % (3430101)CaDiCaL version: 2.1.3
% 47.44/7.02 % (3430101)Termination reason: Instruction limit
% 47.44/7.02 % (3430101)Termination phase: Saturation
% 47.44/7.02 % (3430101)Time elapsed: 0.356 s
% 47.44/7.02 % (3430101)Peak memory usage: 24 MB
% 47.44/7.02 % (3430101)Instructions burned: 684 (million)
% 47.44/7.02 % (3430113)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=514230160:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 47.44/7.02 % (3430107)Instruction limit reached!
% 47.44/7.02 % (3430107)------------------------------
% 47.44/7.02 % (3430107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.44/7.02 % (3430107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.44/7.02 % (3430107)CaDiCaL version: 2.1.3
% 47.44/7.02 % (3430107)Termination reason: Instruction limit
% 47.44/7.02 % (3430107)Termination phase: Saturation
% 47.44/7.02 % (3430107)Time elapsed: 0.321 s
% 47.44/7.02 % (3430107)Peak memory usage: 14 MB
% 47.44/7.02 % (3430107)Instructions burned: 477 (million)
% 47.44/7.02 % (3430115)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=3031922481: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)
% 47.44/7.02 % (3430109)Instruction limit reached!
% 47.44/7.02 % (3430109)------------------------------
% 47.44/7.02 % (3430109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.44/7.02 % (3430109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.44/7.02 % (3430109)CaDiCaL version: 2.1.3
% 47.44/7.02 % (3430109)Termination reason: Instruction limit
% 47.44/7.02 % (3430109)Termination phase: Finite model building SAT solving
% 47.44/7.02 % (3430109)Time elapsed: 0.350 s
% 47.44/7.02 % (3430109)Peak memory usage: 23 MB
% 47.44/7.02 % (3430109)Instructions burned: 865 (million)
% 47.44/7.02 % TRYING [14]
% 47.44/7.02 % (3430117)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1443507034:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 47.44/7.02 % TRYING [8]
% 56.29/9.51 % (3430113)Instruction limit reached!
% 56.29/9.51 % (3430113)------------------------------
% 56.29/9.51 % (3430113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430113)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430113)Termination reason: Instruction limit
% 56.29/9.51 % (3430113)Termination phase: Finite model building constraint generation
% 56.29/9.51 % (3430113)Time elapsed: 0.331 s
% 56.29/9.51 % (3430113)Peak memory usage: 76 MB
% 56.29/9.51 % (3430113)Instructions burned: 890 (million)
% 56.29/9.51 % (3430119)fmb+10_1_sil=64000:random_seed=2650100875:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 56.29/9.51 % TRYING [1]
% 56.29/9.51 % TRYING [2]
% 56.29/9.51 % TRYING [3]
% 56.29/9.51 % (3430115)Instruction limit reached!
% 56.29/9.51 % (3430115)------------------------------
% 56.29/9.51 % (3430115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430115)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430115)Termination reason: Instruction limit
% 56.29/9.51 % (3430115)Termination phase: Saturation
% 56.29/9.51 % (3430115)Time elapsed: 0.360 s
% 56.29/9.51 % (3430115)Peak memory usage: 21 MB
% 56.29/9.51 % (3430115)Instructions burned: 694 (million)
% 56.29/9.51 % (3430121)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3725153060:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 56.29/9.51 % TRYING [4]
% 56.29/9.51 % TRYING [20]
% 56.29/9.51 % (3430111)Instruction limit reached!
% 56.29/9.51 % (3430111)------------------------------
% 56.29/9.51 % (3430111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430111)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430111)Termination reason: Instruction limit
% 56.29/9.51 % (3430111)Termination phase: Saturation
% 56.29/9.51 % (3430111)Time elapsed: 0.635 s
% 56.29/9.51 % (3430111)Peak memory usage: 27 MB
% 56.29/9.51 % (3430111)Instructions burned: 1180 (million)
% 56.29/9.51 % TRYING [5]
% 56.29/9.51 % (3430123)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=325717120:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 56.29/9.51 % TRYING [8]
% 56.29/9.51 % (3430117)Instruction limit reached!
% 56.29/9.51 % (3430117)------------------------------
% 56.29/9.51 % (3430117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430117)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430117)Termination reason: Instruction limit
% 56.29/9.51 % (3430117)Termination phase: Saturation
% 56.29/9.51 % (3430117)Time elapsed: 0.469 s
% 56.29/9.51 % (3430117)Peak memory usage: 21 MB
% 56.29/9.51 % (3430117)Instructions burned: 880 (million)
% 56.29/9.51 % (3430125)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2949483874:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 56.29/9.51 % TRYING [6]
% 56.29/9.51 % (3430123)Instruction limit reached!
% 56.29/9.51 % (3430123)------------------------------
% 56.29/9.51 % (3430123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430123)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430123)Termination reason: Instruction limit
% 56.29/9.51 % (3430123)Termination phase: Finite model building constraint generation
% 56.29/9.51 % (3430123)Time elapsed: 0.347 s
% 56.29/9.51 % (3430123)Peak memory usage: 76 MB
% 56.29/9.51 % (3430123)Instructions burned: 923 (million)
% 56.29/9.51 % (3430127)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2641180208:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 56.29/9.51 % TRYING [9]
% 56.29/9.51 % (3430127)Instruction limit reached!
% 56.29/9.51 % (3430127)------------------------------
% 56.29/9.51 % (3430127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430127)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430127)Termination reason: Instruction limit
% 56.29/9.51 % (3430127)Termination phase: Saturation
% 56.29/9.51 % (3430127)Time elapsed: 0.678 s
% 56.29/9.51 % (3430127)Peak memory usage: 18 MB
% 56.29/9.51 % (3430127)Instructions burned: 1472 (million)
% 56.29/9.51 % TRYING [7]
% 56.29/9.51 % (3430129)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2292172805:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 56.29/9.51 % TRYING [77]
% 56.29/9.51 % TRYING [10]
% 56.29/9.51 % TRYING [8]
% 56.29/9.51 % (3430125)Instruction limit reached!
% 56.29/9.51 % (3430125)------------------------------
% 56.29/9.51 % (3430125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430125)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430125)Termination reason: Instruction limit
% 56.29/9.51 % (3430125)Termination phase: Saturation
% 56.29/9.51 % (3430125)Time elapsed: 2.779 s
% 56.29/9.51 % (3430125)Peak memory usage: 53 MB
% 56.29/9.51 % (3430125)Instructions burned: 5133 (million)
% 56.29/9.51 % (3430131)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4126399609:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 56.29/9.51 % TRYING [16]
% 56.29/9.51 % (3430121)Instruction limit reached!
% 56.29/9.51 % (3430121)------------------------------
% 56.29/9.51 % (3430121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430121)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430121)Termination reason: Instruction limit
% 56.29/9.51 % (3430121)Termination phase: Finite model building constraint generation
% 56.29/9.51 % (3430121)Time elapsed: 3.326 s
% 56.29/9.51 % (3430121)Peak memory usage: 560 MB
% 56.29/9.51 % (3430121)Instructions burned: 9517 (million)
% 56.29/9.51 % (3430133)ott-2_1_sil=16000:newcnf=on:random_seed=1636372794:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 56.29/9.51 % (3430129)Instruction limit reached!
% 56.29/9.51 % (3430129)------------------------------
% 56.29/9.51 % (3430129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430129)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430129)Termination reason: Instruction limit
% 56.29/9.51 % (3430129)Termination phase: Finite model building constraint generation
% 56.29/9.51 % (3430129)Time elapsed: 2.372 s
% 56.29/9.51 % (3430129)Peak memory usage: 524 MB
% 56.29/9.51 % (3430129)Instructions burned: 6326 (million)
% 56.29/9.51 % (3430135)ott+10_1_sil=32000:tgt=ground:random_seed=2355347938:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 56.29/9.51 % (3430131)Instruction limit reached!
% 56.29/9.51 % (3430131)------------------------------
% 56.29/9.51 % (3430131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430131)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430131)Termination reason: Instruction limit
% 56.29/9.51 % (3430131)Termination phase: Finite model building constraint generation
% 56.29/9.51 % (3430131)Time elapsed: 0.797 s
% 56.29/9.51 % (3430131)Peak memory usage: 138 MB
% 56.29/9.51 % (3430131)Instructions burned: 2175 (million)
% 56.29/9.51 % (3430137)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3435866817:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 56.29/9.51 % TRYING [1]
% 56.29/9.51 % TRYING [2]
% 56.29/9.51 % TRYING [3]
% 56.29/9.51 % TRYING [4]
% 56.29/9.51 % (3430133)Instruction limit reached!
% 56.29/9.51 % (3430133)------------------------------
% 56.29/9.51 % (3430133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430133)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430133)Termination reason: Instruction limit
% 56.29/9.51 % (3430133)Termination phase: Saturation
% 56.29/9.51 % (3430133)Time elapsed: 0.489 s
% 56.29/9.51 % (3430133)Peak memory usage: 23 MB
% 56.29/9.51 % (3430133)Instructions burned: 869 (million)
% 56.29/9.51 % (3430139)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1208512289:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 56.29/9.51 % TRYING [5]
% 56.29/9.51 % TRYING [6]
% 56.29/9.51 % TRYING [7]
% 56.29/9.51 % TRYING [8]
% 56.29/9.51 % TRYING [9]
% 56.29/9.51 % (3430139)Instruction limit reached!
% 56.29/9.51 % (3430139)------------------------------
% 56.29/9.51 % (3430139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430139)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430139)Termination reason: Instruction limit
% 56.29/9.51 % (3430139)Termination phase: Saturation
% 56.29/9.51 % (3430139)Time elapsed: 1.931 s
% 56.29/9.51 % (3430139)Peak memory usage: 42 MB
% 56.29/9.51 % (3430139)Instructions burned: 3514 (million)
% 56.29/9.51 % (3430141)dis+21_1_sil=32000:sas=cadical:random_seed=1305688497:i=3773:amm=off_2931 on theBenchmark for (2931ds/3773Mi)
% 56.29/9.51 % (3430135)Instruction limit reached!
% 56.29/9.51 % (3430135)------------------------------
% 56.29/9.51 % (3430135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430135)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430135)Termination reason: Instruction limit
% 56.29/9.51 % (3430135)Termination phase: Saturation
% 56.29/9.51 % (3430135)Time elapsed: 2.755 s
% 56.29/9.51 % (3430135)Peak memory usage: 68 MB
% 56.29/9.51 % (3430135)Instructions burned: 5114 (million)
% 56.29/9.51 % TRYING [9]
% 56.29/9.51 % (3430143)ott+11_1_sil=16000:gs=on:random_seed=3568047392:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2926 on theBenchmark for (2926ds/2251Mi)
% 56.29/9.51 % (3430143)Instruction limit reached!
% 56.29/9.51 % (3430143)------------------------------
% 56.29/9.51 % (3430143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430143)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430143)Termination reason: Instruction limit
% 56.29/9.51 % (3430143)Termination phase: Saturation
% 56.29/9.51 % (3430143)Time elapsed: 1.014 s
% 56.29/9.51 % (3430143)Peak memory usage: 16 MB
% 56.29/9.51 % (3430143)Instructions burned: 2252 (million)
% 56.29/9.51 % (3430145)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2510206448:fmbsr=1.6:i=67534_2915 on theBenchmark for (2915ds/67534Mi)
% 56.29/9.51 % TRYING [7]
% 56.29/9.51 % (3430141)Instruction limit reached!
% 56.29/9.51 % (3430141)------------------------------
% 56.29/9.51 % (3430141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.51 % (3430141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.51 % (3430141)CaDiCaL version: 2.1.3
% 56.29/9.51 % (3430141)Termination reason: Instruction limit
% 56.29/9.51 % (3430141)Termination phase: Saturation
% 56.29/9.51 % (3430141)Time elapsed: 1.971 s
% 56.29/9.51 % (3430141)Peak memory usage: 51 MB
% 56.29/9.51 % (3430141)Instructions burned: 3774 (million)
% 56.29/9.51 % (3430147)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3699465709:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2911 on theBenchmark for (2911ds/4591Mi)
% 56.29/9.51 % (3430087) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3430080-3430087"...
% 56.29/9.51 % (3430087)...printing done.
% 56.29/9.51 % (3430087)Refutation found. Thanks to Tanya!
% 56.29/9.51 % SZS status Theorem for theBenchmark
% 56.29/9.51 % SZS output start Proof for theBenchmark
% See solution above
% 56.29/9.52 % (3430087)------------------------------
% 56.29/9.52 % (3430087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.29/9.52 % (3430087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.29/9.52 % (3430087)CaDiCaL version: 2.1.3
% 56.29/9.52 % (3430087)Termination reason: Refutation
% 56.29/9.52 % (3430087)Time elapsed: 9.171 s
% 56.29/9.52 % (3430087)Peak memory usage: 118 MB
% 56.29/9.52 % (3430087)Instructions burned: 14217 (million)
% 56.29/9.52 % (3430080)Success in time 9.306 s
% 56.29/9.52 % Vampire exiting
%------------------------------------------------------------------------------