%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC187-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:02:51 PM UTC 2026
% Result : Unsatisfiable 0.72s 0.88s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 45
% Syntax : Number of formulae : 212 ( 30 unt; 17 def)
% Number of atoms : 631 ( 109 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 795 ( 376 ~; 402 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f144,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f154,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f163,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ memberP(cons(X0,X1),X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( ssItem(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,negated_conjecture,
( cons(sk8,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
( sk3 = cons(sk8,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f217]) ).
fof(f227,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f230,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f154]) ).
fof(f251,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f260,definition,
( spl0_3
<=> sk3 = cons(sk8,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f262,plain,
( sk3 = cons(sk8,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f218,f260,f251]) ).
fof(f271,definition,
( spl0_5
<=> ssItem(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f273,plain,
( ssItem(sk8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f213,f271,f251]) ).
fof(f277,definition,
( spl0_6
<=> memberP(sk7,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f278,plain,
( ~ memberP(sk7,sk5)
| spl0_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( memberP(sk7,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl0_7
<=> memberP(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f283,plain,
( memberP(sk6,sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f211,f281,f277]) ).
fof(f290,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f291,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f326,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f290]) ).
fof(f329,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(forward_demodulation,[],[f210,f205]) ).
fof(f434,plain,
( nil != sk3
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[],[f122,f329]) ).
fof(f462,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f230,f85]) ).
fof(f478,definition,
( spl0_17
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f479,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_17 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f486,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(resolution,[],[f480,f85]) ).
fof(f487,plain,
( ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f486,f207]) ).
fof(f506,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_17 ),
inference(resolution,[],[f86,f487]) ).
fof(f510,plain,
( ~ ssItem(sk5)
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f506,f291]) ).
fof(f511,plain,
( $false
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f510,f206]) ).
fof(f512,plain,
( ~ spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f543,plain,
( nil = tl(sk3)
| ~ ssList(nil)
| ~ ssItem(sk8)
| ~ spl0_3 ),
inference(superposition,[],[f96,f262]) ).
fof(f547,plain,
( nil = tl(sk3)
| ~ ssItem(sk8)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f543,f291]) ).
fof(f550,plain,
( nil = tl(sk3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f547,f273]) ).
fof(f583,plain,
! [X0] :
( cons(sk5,X0) = app(cons(sk5,nil),X0)
| ~ ssList(X0) ),
inference(resolution,[],[f126,f206]) ).
fof(f627,definition,
( spl0_22
<=> nil = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f628,plain,
( nil != app(sk6,cons(sk5,nil))
| spl0_22 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f640,plain,
( nil != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f434,f208]) ).
fof(f642,plain,
( nil != sk3
| nil = app(sk6,cons(sk5,nil))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f640,f479]) ).
fof(f644,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f642,f478,f251,f627]) ).
fof(f646,definition,
( spl0_25
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f648,plain,
( nil = sk7
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f662,plain,
( memberP(nil,sk5)
| ~ spl0_6
| ~ spl0_25 ),
inference(superposition,[],[f279,f648]) ).
fof(f668,plain,
( ~ ssItem(sk5)
| ~ spl0_6
| ~ spl0_25 ),
inference(resolution,[],[f662,f71]) ).
fof(f669,plain,
( $false
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f668,f206]) ).
fof(f670,plain,
( ~ spl0_6
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f704,plain,
( rearsegP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ spl0_22 ),
inference(superposition,[],[f462,f629]) ).
fof(f712,plain,
( rearsegP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f704,f207]) ).
fof(f718,definition,
( spl0_26
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f719,plain,
( nil != sk6
| spl0_26 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f720,plain,
( nil = sk6
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f722,definition,
( spl0_27
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f723,plain,
( ssList(cons(sk5,nil))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( ~ ssList(cons(sk5,nil))
| spl0_27 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f727,definition,
( spl0_28
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f728,plain,
( nil != cons(sk5,nil)
| spl0_28 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f729,plain,
( nil = cons(sk5,nil)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f732,definition,
( spl0_29
<=> rearsegP(nil,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f734,plain,
( rearsegP(nil,cons(sk5,nil))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( ~ spl0_27
| spl0_29
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f712,f627,f732,f722]) ).
fof(f760,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_27 ),
inference(resolution,[],[f724,f86]) ).
fof(f761,plain,
( ~ ssItem(sk5)
| ~ spl0_9
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f760,f291]) ).
fof(f762,plain,
( $false
| ~ spl0_9
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f761,f206]) ).
fof(f763,plain,
( ~ spl0_9
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f778,plain,
( memberP(nil,sk5)
| ~ spl0_7
| ~ spl0_26 ),
inference(superposition,[],[f283,f720]) ).
fof(f871,plain,
( tl(sk3) = app(tl(app(sk6,cons(sk5,nil))),sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[],[f144,f329]) ).
fof(f925,plain,
! [X0,X1] :
( app(X1,X0) != X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X1
| ~ ssList(X0) ),
inference(superposition,[],[f163,f74]) ).
fof(f930,plain,
! [X0,X1] :
( app(X1,X0) != X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f925]) ).
fof(f938,plain,
( ! [X0,X1] :
( app(X1,X0) != X0
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f930,f291]) ).
fof(f966,plain,
! [X0] :
( app(sk3,X0) = app(app(sk6,cons(sk5,nil)),app(sk7,X0))
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(X0) ),
inference(superposition,[],[f161,f329]) ).
fof(f971,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[],[f329,f161]) ).
fof(f1011,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(forward_subsumption_resolution,[],[f971,f207]) ).
fof(f1016,plain,
! [X0] :
( app(sk3,X0) = app(app(sk6,cons(sk5,nil)),app(sk7,X0))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f966,f208]) ).
fof(f1021,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ ssList(cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f1011,f208]) ).
fof(f1025,plain,
( ! [X0] :
( app(sk3,X0) = app(app(sk6,cons(sk5,nil)),app(sk7,X0))
| ~ ssList(X0) )
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1016,f479]) ).
fof(f1162,plain,
( ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_26 ),
inference(resolution,[],[f778,f71]) ).
fof(f1167,plain,
( $false
| ~ spl0_7
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1162,f206]) ).
fof(f1168,plain,
( ~ spl0_7
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1371,plain,
( singletonP(nil)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_28 ),
inference(superposition,[],[f227,f729]) ).
fof(f1398,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1371,f11]) ).
fof(f1413,plain,
( ~ ssItem(sk5)
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1398,f291]) ).
fof(f1419,plain,
( $false
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1413,f206]) ).
fof(f1420,plain,
( ~ spl0_9
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1427,plain,
( tl(sk3) = app(tl(app(sk6,cons(sk5,nil))),sk7)
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f871,f479]) ).
fof(f1435,plain,
( tl(sk3) = app(tl(app(sk6,cons(sk5,nil))),sk7)
| nil = app(sk6,cons(sk5,nil))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1427,f208]) ).
fof(f1448,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_29 ),
inference(resolution,[],[f734,f82]) ).
fof(f1453,plain,
( nil = cons(sk5,nil)
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1448,f723]) ).
fof(f1456,plain,
( $false
| ~ spl0_27
| spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1453,f728]) ).
fof(f1457,plain,
( ~ spl0_27
| spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1962,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1021,f723]) ).
fof(f1965,plain,
( nil = app(tl(app(sk6,cons(sk5,nil))),sk7)
| nil = app(sk6,cons(sk5,nil))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1435,f550]) ).
fof(f1968,definition,
( spl0_57
<=> nil = app(tl(app(sk6,cons(sk5,nil))),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f1970,plain,
( nil = app(tl(app(sk6,cons(sk5,nil))),sk7)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f1971,plain,
( spl0_22
| spl0_57
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1965,f478,f290,f271,f260,f1968,f627]) ).
fof(f2038,definition,
( spl0_58
<=> ssList(app(cons(sk5,nil),sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f2039,plain,
( ssList(app(cons(sk5,nil),sk7))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f2040,plain,
( ~ ssList(app(cons(sk5,nil),sk7))
| spl0_58 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f2291,plain,
( nil != nil
| ~ ssList(sk7)
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_57 ),
inference(superposition,[],[f124,f1970]) ).
fof(f2302,plain,
( ~ ssList(sk7)
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2291]) ).
fof(f2314,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2302,f208]) ).
fof(f2317,definition,
( spl0_79
<=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f2319,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| spl0_79 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f2567,plain,
( app(app(sk6,cons(sk5,nil)),sk7) = app(sk3,nil)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ spl0_17 ),
inference(superposition,[],[f1025,f73]) ).
fof(f2601,plain,
( app(app(sk6,cons(sk5,nil)),sk7) = app(sk3,nil)
| ~ ssList(sk7)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2567,f291]) ).
fof(f2608,plain,
( app(app(sk6,cons(sk5,nil)),sk7) = app(sk3,nil)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2601,f208]) ).
fof(f2610,plain,
( sk3 = app(sk3,nil)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2608,f329]) ).
fof(f2666,definition,
( spl0_102
<=> ssList(cons(sk5,sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f2667,plain,
( ssList(cons(sk5,sk7))
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f2666]) ).
fof(f2668,plain,
( ~ ssList(cons(sk5,sk7))
| spl0_102 ),
inference(avatar_component_clause,[],[f2666]) ).
fof(f2716,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| spl0_102 ),
inference(resolution,[],[f2668,f86]) ).
fof(f2717,plain,
( ~ ssItem(sk5)
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f2716,f208]) ).
fof(f2718,plain,
( $false
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f2717,f206]) ).
fof(f2719,plain,
spl0_102,
inference(avatar_contradiction_clause,[],[f2718]) ).
fof(f2989,plain,
( ~ ssList(cons(sk5,sk7))
| ~ ssList(sk7)
| spl0_58 ),
inference(superposition,[],[f2040,f583]) ).
fof(f2992,plain,
( ~ ssList(sk7)
| spl0_58
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f2989,f2667]) ).
fof(f2995,plain,
( $false
| spl0_58
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f2992,f208]) ).
fof(f2996,plain,
( spl0_58
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f4404,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| spl0_79 ),
inference(resolution,[],[f2319,f75]) ).
fof(f4407,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_17
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f4404,f479]) ).
fof(f4409,plain,
( $false
| ~ spl0_17
| spl0_22
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f4407,f628]) ).
fof(f4410,plain,
( ~ spl0_17
| spl0_22
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f4409]) ).
fof(f4416,plain,
( spl0_25
| ~ spl0_79
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f2314,f1968,f2317,f646]) ).
fof(f4426,plain,
( ! [X0] :
( ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ memberP(cons(X0,sk7),sk5)
| sk5 = X0 )
| spl0_6 ),
inference(resolution,[],[f278,f174]) ).
fof(f4429,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ memberP(cons(X0,sk7),sk5)
| sk5 = X0 )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f4426,f208]) ).
fof(f4431,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(cons(X0,sk7),sk5)
| sk5 = X0 )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f4429,f206]) ).
fof(f4434,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| memberP(app(sk6,X0),sk5) )
| ~ spl0_7 ),
inference(resolution,[],[f283,f151]) ).
fof(f4435,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk5)
| memberP(app(sk6,X0),sk5) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f4434,f207]) ).
fof(f4438,plain,
( ! [X0] :
( memberP(app(sk6,X0),sk5)
| ~ ssList(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f4435,f206]) ).
fof(f4494,plain,
( memberP(sk3,sk5)
| ~ ssList(app(cons(sk5,nil),sk7))
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f4438,f1962]) ).
fof(f4496,plain,
( memberP(sk3,sk5)
| ~ spl0_7
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f4494,f2039]) ).
fof(f4533,plain,
( ! [X0] :
( ~ memberP(cons(X0,nil),sk5)
| ~ ssItem(X0)
| sk5 = X0 )
| spl0_6
| ~ spl0_25 ),
inference(forward_demodulation,[],[f4431,f648]) ).
fof(f4573,plain,
( ~ memberP(sk3,sk5)
| ~ ssItem(sk8)
| sk5 = sk8
| ~ spl0_3
| spl0_6
| ~ spl0_25 ),
inference(superposition,[],[f4533,f262]) ).
fof(f4576,plain,
( ~ ssItem(sk8)
| sk5 = sk8
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_25
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f4573,f4496]) ).
fof(f4580,plain,
( sk5 = sk8
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_25
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f4576,f273]) ).
fof(f4747,plain,
( sk3 != app(cons(sk5,nil),sk7)
| ~ ssList(sk6)
| ~ ssList(app(cons(sk5,nil),sk7))
| nil = sk6
| ~ spl0_9
| ~ spl0_27 ),
inference(superposition,[],[f938,f1962]) ).
fof(f4755,plain,
( sk3 != app(cons(sk5,nil),sk7)
| ~ ssList(app(cons(sk5,nil),sk7))
| nil = sk6
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f4747,f207]) ).
fof(f4766,plain,
( sk3 != app(cons(sk5,nil),sk7)
| nil = sk6
| ~ spl0_9
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f4755,f2039]) ).
fof(f4776,plain,
( sk3 != app(cons(sk5,nil),sk7)
| ~ spl0_9
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f4766,f719]) ).
fof(f4781,plain,
( sk3 != app(cons(sk5,nil),nil)
| ~ spl0_9
| ~ spl0_25
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_demodulation,[],[f4776,f648]) ).
fof(f4785,plain,
( sk3 != app(cons(sk8,nil),nil)
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_25
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_demodulation,[],[f4781,f4580]) ).
fof(f4788,plain,
( sk3 != app(sk3,nil)
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_25
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_demodulation,[],[f4785,f262]) ).
fof(f4790,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_25
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f4788,f2610]) ).
fof(f4791,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_25
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f4790]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f263]) ).
cnf(s5,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f274]) ).
cnf(s7,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f284]) ).
cnf(s17,plain,
spl0_9,
inference(sat_conversion,[],[f326]) ).
cnf(s21,plain,
( ~ spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f512]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_22 ),
inference(sat_conversion,[],[f644]) ).
cnf(s29,plain,
( ~ spl0_6
| ~ spl0_25 ),
inference(sat_conversion,[],[f670]) ).
cnf(s32,plain,
( ~ spl0_22
| ~ spl0_27
| spl0_29 ),
inference(sat_conversion,[],[f735]) ).
cnf(s35,plain,
( ~ spl0_9
| spl0_27 ),
inference(sat_conversion,[],[f763]) ).
cnf(s42,plain,
( ~ spl0_7
| ~ spl0_26 ),
inference(sat_conversion,[],[f1168]) ).
cnf(s48,plain,
( ~ spl0_9
| ~ spl0_28 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s50,plain,
( ~ spl0_27
| spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_17
| spl0_22
| spl0_57 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s140,plain,
spl0_102,
inference(sat_conversion,[],[f2719]) ).
cnf(s152,plain,
( spl0_58
| ~ spl0_102 ),
inference(sat_conversion,[],[f2996]) ).
cnf(s225,plain,
( ~ spl0_17
| spl0_22
| spl0_79 ),
inference(sat_conversion,[],[f4410]) ).
cnf(s228,plain,
( spl0_25
| ~ spl0_57
| ~ spl0_79 ),
inference(sat_conversion,[],[f4416]) ).
cnf(s240,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_25
| spl0_26
| ~ spl0_27
| ~ spl0_58 ),
inference(sat_conversion,[],[f4791]) ).
cnf(s247,plain,
spl0_58,
inference(rat,[],[s152,s140]) ).
cnf(s286,plain,
~ spl0_28,
inference(rat,[],[s48,s17]) ).
cnf(s287,plain,
spl0_27,
inference(rat,[],[s35,s17]) ).
cnf(s288,plain,
spl0_17,
inference(rat,[],[s21,s17]) ).
cnf(s296,plain,
~ spl0_29,
inference(rat,[],[s50,s286,s287]) ).
cnf(s298,plain,
~ spl0_22,
inference(rat,[],[s32,s296,s287]) ).
cnf(s299,plain,
~ spl0_1,
inference(rat,[],[s26,s298,s288]) ).
cnf(s301,plain,
spl0_79,
inference(rat,[],[s225,s288,s298]) ).
cnf(s311,plain,
spl0_5,
inference(rat,[],[s5,s299]) ).
cnf(s314,plain,
spl0_3,
inference(rat,[],[s2,s299]) ).
cnf(s321,plain,
spl0_57,
inference(rat,[],[s78,s311,s298,s288,s17,s314]) ).
cnf(s324,plain,
spl0_25,
inference(rat,[],[s228,s301,s321]) ).
cnf(s335,plain,
~ spl0_6,
inference(rat,[],[s29,s324]) ).
cnf(s339,plain,
spl0_7,
inference(rat,[],[s7,s335]) ).
cnf(s340,plain,
~ spl0_26,
inference(rat,[],[s42,s339]) ).
cnf(s341,plain,
$false,
inference(rat,[],[s240,s247,s287,s335,s324,s288,s17,s314,s311,s340,s339]) ).
fof(f4801,plain,
$false,
inference(avatar_sat_refutation,[],[s341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC187-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 08:21:19 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.88 % (3232575)Input is clausal, will run a generic CNF schedule.
% 0.72/0.88 % (3232582)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3772193943:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.72/0.88 % (3232583)lrs+10_1_sil=8000:sp=occurrence:random_seed=2818927449:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.72/0.88 % (3232584)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1242544170:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.72/0.88 % (3232581)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3225034399:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.72/0.88 % (3232585)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3874123273:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.72/0.88 % (3232580)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=3163066055:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.72/0.88 % (3232586)dis-21_1_sil=8000:lcm=predicate:random_seed=3962937722:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.72/0.88 % (3232586)Instruction limit reached!
% 0.72/0.88 % (3232586)------------------------------
% 0.72/0.88 % (3232586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/0.88 % (3232586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.88 % (3232586)CaDiCaL version: 2.1.3
% 0.72/0.88 % (3232586)Termination reason: Instruction limit
% 0.72/0.88 % (3232586)Termination phase: Saturation
% 0.72/0.88 % (3232586)Time elapsed: 0.029 s
% 0.72/0.88 % (3232586)Peak memory usage: 89 MB
% 0.72/0.88 % (3232586)Instructions burned: 120 (million)
% 0.72/0.88 % (3232583)Instruction limit reached!
% 0.72/0.88 % (3232583)------------------------------
% 0.72/0.88 % (3232583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/0.88 % (3232583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.88 % (3232583)CaDiCaL version: 2.1.3
% 0.72/0.88 % (3232583)Termination reason: Instruction limit
% 0.72/0.88 % (3232583)Termination phase: Saturation
% 0.72/0.88 % (3232583)Time elapsed: 0.034 s
% 0.72/0.88 % (3232583)Peak memory usage: 90 MB
% 0.72/0.88 % (3232583)Instructions burned: 107 (million)
% 0.72/0.88 % (3232584)Instruction limit reached!
% 0.72/0.88 % (3232584)------------------------------
% 0.72/0.88 % (3232584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/0.88 % (3232584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.88 % (3232584)CaDiCaL version: 2.1.3
% 0.72/0.88 % (3232584)Termination reason: Instruction limit
% 0.72/0.88 % (3232584)Termination phase: Saturation
% 0.72/0.88 % (3232584)Time elapsed: 0.038 s
% 0.72/0.88 % (3232584)Peak memory usage: 89 MB
% 0.72/0.88 % (3232584)Instructions burned: 117 (million)
% 0.72/0.88 % (3232585)First to succeed.
% 0.72/0.88 % (3232585)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3232575"
% 0.72/0.88 % (3232596)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1685544155:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 0.72/0.88 % (3232595)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1457802568:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 0.72/0.88 % (3232594)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2385291241:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.72/0.88 % (3232594)Instruction limit reached!
% 0.72/0.88 % (3232594)------------------------------
% 0.72/0.88 % (3232594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/0.88 % (3232594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.88 % (3232594)CaDiCaL version: 2.1.3
% 0.72/0.88 % (3232594)Termination reason: Instruction limit
% 0.72/0.88 % (3232594)Termination phase: Saturation
% 0.72/0.88 % (3232594)Time elapsed: 0.051 s
% 0.72/0.88 % (3232594)Peak memory usage: 89 MB
% 0.72/0.88 % (3232594)Instructions burned: 143 (million)
% 0.72/0.88 % (3232595)Instruction limit reached!
% 0.72/0.88 % (3232595)------------------------------
% 0.72/0.88 % (3232595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/0.88 % (3232595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.88 % (3232595)CaDiCaL version: 2.1.3
% 0.72/0.88 % (3232595)Termination reason: Instruction limit
% 0.72/0.88 % (3232595)Termination phase: Saturation
% 0.72/0.88 % (3232595)Time elapsed: 0.054 s
% 0.72/0.88 % (3232595)Peak memory usage: 91 MB
% 0.72/0.88 % (3232595)Instructions burned: 192 (million)
% 0.72/0.88 % (3232585)Refutation found. Thanks to Tanya!
% 0.72/0.88 % SZS status Unsatisfiable for theBenchmark
% 0.72/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/0.97 % (3232585)------------------------------
% 2.66/0.97 % (3232585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/0.97 % (3232585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.97 % (3232585)CaDiCaL version: 2.1.3
% 2.66/0.97 % (3232585)Termination reason: Refutation
% 2.66/0.97 % (3232585)Time elapsed: 0.054 s
% 2.66/0.97 % (3232585)Peak memory usage: 91 MB
% 2.66/0.97 % (3232585)Instructions burned: 140 (million)
% 2.66/0.97 % (3232585)------------------------------
% 2.66/0.97 % (3232585)------------------------------
% 2.66/0.97 % (3232575)Success in time 0.354 s
% 2.66/0.97 % Vampire exiting
%------------------------------------------------------------------------------