%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX035+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 01:46:23 PM UTC 2026
% Result : Theorem 32.34s 4.80s
% Output : Refutation 32.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 83 ( 26 unt; 4 def)
% Number of atoms : 250 ( 107 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 272 ( 105 ~; 104 |; 49 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 138 ( 122 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : '0' != s(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id1) ).
fof(f2,axiom,
! [X0,X1] :
( s(X0) = s(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id2) ).
fof(f15,axiom,
! [X0,X1,X2] :
( times_succeeds(X0,X1,X2)
<=> ( ? [X3,X4] :
( X0 = s(X3)
& times_succeeds(X3,X1,X4)
& plus_succeeds(X1,X4,X2) )
| ( X0 = '0'
& X2 = '0' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id15) ).
fof(f27,axiom,
! [X0] :
( nat_succeeds(X0)
<=> ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1) )
| X0 = '0' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id27) ).
fof(f30,axiom,
! [X0,X1,X2] :
( nat_succeeds(X0)
=> ( '@+'(X0,X1) = X2
<=> plus_succeeds(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','(@+)/2') ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> ( '@*'(X0,X1) = X2
<=> times_succeeds(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','(@*)/2') ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( plus_succeeds(X0,X1,X2)
& plus_succeeds(X0,X1,X3) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:uniqueness)') ).
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( times_succeeds(X0,X1,X2)
& times_succeeds(X0,X1,X3) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(times:uniqueness)') ).
fof(f62,conjecture,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(times:successor)') ).
fof(f63,negated_conjecture,
~ ! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( '@+'(X0,X1) = X2
<=> plus_succeeds(X0,X1,X2) )
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( '@*'(X0,X1) = X2
<=> times_succeeds(X0,X1,X2) )
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( '@*'(X0,X1) = X2
<=> times_succeeds(X0,X1,X2) )
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f91]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ plus_succeeds(X0,X1,X2)
| ~ plus_succeeds(X0,X1,X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ plus_succeeds(X0,X1,X2)
| ~ plus_succeeds(X0,X1,X3) ),
inference(flattening,[],[f109]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ times_succeeds(X0,X1,X2)
| ~ times_succeeds(X0,X1,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ times_succeeds(X0,X1,X2)
| ~ times_succeeds(X0,X1,X3) ),
inference(flattening,[],[f133]) ).
fof(f137,plain,
? [X0,X1] :
( '@*'(s(X0),X1) != '@+'(X1,'@*'(X0,X1))
& nat_succeeds(X0)
& nat_succeeds(X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f138,plain,
? [X0,X1] :
( '@*'(s(X0),X1) != '@+'(X1,'@*'(X0,X1))
& nat_succeeds(X0)
& nat_succeeds(X1) ),
inference(flattening,[],[f137]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( times_succeeds(X0,X1,X2)
| ( ! [X3,X4] :
( s(X3) != X0
| ~ times_succeeds(X3,X1,X4)
| ~ plus_succeeds(X1,X4,X2) )
& ( '0' != X0
| '0' != X2 ) ) )
& ( ? [X3,X4] :
( X0 = s(X3)
& times_succeeds(X3,X1,X4)
& plus_succeeds(X1,X4,X2) )
| ( X0 = '0'
& X2 = '0' )
| ~ times_succeeds(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ( times_succeeds(X0,X1,X2)
| ( ! [X3,X4] :
( s(X3) != X0
| ~ times_succeeds(X3,X1,X4)
| ~ plus_succeeds(X1,X4,X2) )
& ( '0' != X0
| '0' != X2 ) ) )
& ( ? [X3,X4] :
( X0 = s(X3)
& times_succeeds(X3,X1,X4)
& plus_succeeds(X1,X4,X2) )
| ( X0 = '0'
& X2 = '0' )
| ~ times_succeeds(X0,X1,X2) ) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( times_succeeds(X0,X1,X2)
| ( ! [X3,X4] :
( s(X3) != X0
| ~ times_succeeds(X3,X1,X4)
| ~ plus_succeeds(X1,X4,X2) )
& ( '0' != X0
| '0' != X2 ) ) )
& ( ? [X5,X6] :
( s(X5) = X0
& times_succeeds(X5,X1,X6)
& plus_succeeds(X1,X6,X2) )
| ( X0 = '0'
& X2 = '0' )
| ~ times_succeeds(X0,X1,X2) ) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( times_succeeds(X0,X1,X2)
| ( ! [X3,X4] :
( s(X3) != X0
| ~ times_succeeds(X3,X1,X4)
| ~ plus_succeeds(X1,X4,X2) )
& ( '0' != X0
| '0' != X2 ) ) )
& ( ( s(sK0(X0,X1,X2)) = X0
& times_succeeds(sK0(X0,X1,X2),X1,sK1(X0,X1,X2))
& plus_succeeds(X1,sK1(X0,X1,X2),X2) )
| ( X0 = '0'
& X2 = '0' )
| ~ times_succeeds(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X5,sK0(X0,X1,X2)),skolemize(X6,sK1(X0,X1,X2))],[f142]) ).
fof(f184,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f185,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ? [X2] :
( s(X2) = X0
& nat_succeeds(X2) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(rectify,[],[f185]) ).
fof(f187,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ( s(sK26(X0)) = X0
& nat_succeeds(sK26(X0)) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0))],[f186]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ( ( '@+'(X0,X1) = X2
| ~ plus_succeeds(X0,X1,X2) )
& ( plus_succeeds(X0,X1,X2)
| '@+'(X0,X1) != X2 ) )
| ~ nat_succeeds(X0) ),
inference(nnf_transformation,[],[f90]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ( ( '@*'(X0,X1) = X2
| ~ times_succeeds(X0,X1,X2) )
& ( times_succeeds(X0,X1,X2)
| '@*'(X0,X1) != X2 ) )
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(nnf_transformation,[],[f92]) ).
fof(f201,plain,
( '@*'(s(sK34),sK35) != '@+'(sK35,'@*'(sK34,sK35))
& nat_succeeds(sK34)
& nat_succeeds(sK35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f138]) ).
fof(f202,plain,
! [X0] : '0' != s(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f203,plain,
! [X0,X1] :
( s(X0) != s(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f218,plain,
! [X2,X0,X1] :
( plus_succeeds(X1,sK1(X0,X1,X2),X2)
| '0' = X0
| ~ times_succeeds(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f220,plain,
! [X2,X0,X1] :
( times_succeeds(sK0(X0,X1,X2),X1,sK1(X0,X1,X2))
| '0' = X0
| ~ times_succeeds(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ times_succeeds(X0,X1,X2)
| '0' = X0
| s(sK0(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f295,plain,
! [X0,X1] :
( nat_succeeds(X0)
| s(X1) != X0
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f303,plain,
! [X2,X0,X1] :
( plus_succeeds(X0,X1,X2)
| '@+'(X0,X1) != X2
| ~ nat_succeeds(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f305,plain,
! [X2,X0,X1] :
( times_succeeds(X0,X1,X2)
| '@*'(X0,X1) != X2
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ plus_succeeds(X0,X1,X3)
| ~ plus_succeeds(X0,X1,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f110]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ times_succeeds(X0,X1,X3)
| ~ times_succeeds(X0,X1,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f134]) ).
fof(f341,plain,
nat_succeeds(sK35),
inference(cnf_transformation,[],[f201]) ).
fof(f342,plain,
nat_succeeds(sK34),
inference(cnf_transformation,[],[f201]) ).
fof(f343,plain,
'@*'(s(sK34),sK35) != '@+'(sK35,'@*'(sK34,sK35)),
inference(cnf_transformation,[],[f201]) ).
fof(f380,plain,
! [X1] :
( nat_succeeds(s(X1))
| ~ nat_succeeds(X1) ),
inference(equality_resolution,[],[f295]) ).
fof(f385,plain,
! [X0,X1] :
( plus_succeeds(X0,X1,'@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(equality_resolution,[],[f303]) ).
fof(f386,plain,
! [X0,X1] :
( times_succeeds(X0,X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(equality_resolution,[],[f305]) ).
fof(f387,definition,
sF36 = s(sK34),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f388,plain,
s(sK34) = sF36,
inference(reorient_equations,[],[f387]) ).
fof(f389,definition,
sF37 = '@*'(sF36,sK35),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f390,plain,
'@*'(sF36,sK35) = sF37,
inference(reorient_equations,[],[f389]) ).
fof(f391,definition,
sF38 = '@*'(sK34,sK35),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f392,plain,
'@*'(sK34,sK35) = sF38,
inference(reorient_equations,[],[f391]) ).
fof(f393,definition,
sF39 = '@+'(sK35,sF38),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f394,plain,
'@+'(sK35,sF38) = sF39,
inference(reorient_equations,[],[f393]) ).
fof(f395,plain,
sF37 != sF39,
inference(definition_folding,[],[f343,f394,f392,f390,f388]) ).
fof(f406,plain,
'0' != sF36,
inference(superposition,[],[f202,f388]) ).
fof(f413,plain,
( nat_succeeds(sF36)
| ~ nat_succeeds(sK34) ),
inference(superposition,[],[f380,f388]) ).
fof(f414,plain,
nat_succeeds(sF36),
inference(forward_subsumption_resolution,[],[f413,f342]) ).
fof(f446,plain,
! [X0] :
( s(X0) != sF36
| sK34 = X0 ),
inference(superposition,[],[f203,f388]) ).
fof(f500,plain,
( plus_succeeds(sK35,sF38,sF39)
| ~ nat_succeeds(sK35) ),
inference(superposition,[],[f385,f394]) ).
fof(f505,plain,
plus_succeeds(sK35,sF38,sF39),
inference(forward_subsumption_resolution,[],[f500,f341]) ).
fof(f669,plain,
( times_succeeds(sF36,sK35,sF37)
| ~ nat_succeeds(sF36)
| ~ nat_succeeds(sK35) ),
inference(superposition,[],[f386,f390]) ).
fof(f670,plain,
( times_succeeds(sK34,sK35,sF38)
| ~ nat_succeeds(sK34)
| ~ nat_succeeds(sK35) ),
inference(superposition,[],[f386,f392]) ).
fof(f675,plain,
( times_succeeds(sK34,sK35,sF38)
| ~ nat_succeeds(sK35) ),
inference(forward_subsumption_resolution,[],[f670,f342]) ).
fof(f676,plain,
( times_succeeds(sF36,sK35,sF37)
| ~ nat_succeeds(sK35) ),
inference(forward_subsumption_resolution,[],[f669,f414]) ).
fof(f678,plain,
times_succeeds(sK34,sK35,sF38),
inference(forward_subsumption_resolution,[],[f675,f341]) ).
fof(f679,plain,
times_succeeds(sF36,sK35,sF37),
inference(forward_subsumption_resolution,[],[f676,f341]) ).
fof(f707,plain,
! [X0] :
( ~ plus_succeeds(sK35,sF38,X0)
| sF39 = X0 ),
inference(resolution,[],[f319,f505]) ).
fof(f738,plain,
! [X0] :
( ~ times_succeeds(sK34,sK35,X0)
| sF38 = X0 ),
inference(resolution,[],[f334,f678]) ).
fof(f991,plain,
( '0' = sF36
| sF36 = s(sK0(sF36,sK35,sF37)) ),
inference(resolution,[],[f222,f679]) ).
fof(f992,plain,
sF36 = s(sK0(sF36,sK35,sF37)),
inference(forward_subsumption_resolution,[],[f991,f406]) ).
fof(f1026,plain,
( sF36 != sF36
| sK34 = sK0(sF36,sK35,sF37) ),
inference(superposition,[],[f446,f992]) ).
fof(f1030,plain,
sK34 = sK0(sF36,sK35,sF37),
inference(trivial_inequality_removal,[],[f1026]) ).
fof(f1459,plain,
( times_succeeds(sK34,sK35,sK1(sF36,sK35,sF37))
| '0' = sF36
| ~ times_succeeds(sF36,sK35,sF37) ),
inference(superposition,[],[f220,f1030]) ).
fof(f1460,plain,
( times_succeeds(sK34,sK35,sK1(sF36,sK35,sF37))
| ~ times_succeeds(sF36,sK35,sF37) ),
inference(forward_subsumption_resolution,[],[f1459,f406]) ).
fof(f1464,plain,
times_succeeds(sK34,sK35,sK1(sF36,sK35,sF37)),
inference(forward_subsumption_resolution,[],[f1460,f679]) ).
fof(f1524,plain,
sF38 = sK1(sF36,sK35,sF37),
inference(resolution,[],[f1464,f738]) ).
fof(f1546,plain,
( plus_succeeds(sK35,sF38,sF37)
| '0' = sF36
| ~ times_succeeds(sF36,sK35,sF37) ),
inference(superposition,[],[f218,f1524]) ).
fof(f1549,plain,
( plus_succeeds(sK35,sF38,sF37)
| ~ times_succeeds(sF36,sK35,sF37) ),
inference(forward_subsumption_resolution,[],[f1546,f406]) ).
fof(f1552,plain,
plus_succeeds(sK35,sF38,sF37),
inference(forward_subsumption_resolution,[],[f1549,f679]) ).
fof(f1560,plain,
sF37 = sF39,
inference(resolution,[],[f1552,f707]) ).
fof(f1575,plain,
$false,
inference(forward_subsumption_resolution,[],[f1560,f395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX035+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n010.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:53:03 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 14.65/2.33 % (1981175)Will run a generic schedule for satisfiability detection.
% 14.65/2.33 % (1981183)dis+10_1_sil=32000:sp=arity:random_seed=14815302:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.65/2.33 % (1981181)% WARNING: option uhcvi not known.
% 14.65/2.33 % (1981180)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1475334429_2999 on theBenchmark for (2999ds/0Mi)
% 14.65/2.33 % (1981181)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=804228323:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.65/2.33 % (1981182)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3227941521:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.65/2.33 % (1981184)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4146073666:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.65/2.33 % (1981185)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4120628458:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.65/2.33 % (1981186)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2677719484:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.65/2.33 % TRYING [1]
% 14.65/2.33 % TRYING [2]
% 14.65/2.33 % TRYING [3]
% 14.65/2.33 % (1981183)Instruction limit reached!
% 14.65/2.33 % (1981183)------------------------------
% 14.65/2.33 % (1981183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.33 % (1981183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.33 % (1981183)CaDiCaL version: 2.1.3
% 14.65/2.33 % (1981183)Termination reason: Instruction limit
% 14.65/2.33 % (1981183)Termination phase: Saturation
% 14.65/2.33 % (1981183)Time elapsed: 0.036 s
% 14.65/2.33 % (1981183)Peak memory usage: 12 MB
% 14.65/2.33 % (1981183)Instructions burned: 106 (million)
% 14.65/2.33 % TRYING [4]
% 14.65/2.33 % (1981194)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3565945330:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.65/2.33 % TRYING [1]
% 14.65/2.33 % TRYING [2]
% 14.65/2.33 % TRYING [3]
% 14.65/2.33 % TRYING [4]
% 14.65/2.33 % (1981184)Instruction limit reached!
% 14.65/2.33 % (1981184)------------------------------
% 14.65/2.33 % (1981184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.33 % (1981184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.33 % (1981184)CaDiCaL version: 2.1.3
% 14.65/2.33 % (1981184)Termination reason: Instruction limit
% 14.65/2.33 % (1981184)Termination phase: Saturation
% 14.65/2.33 % (1981184)Time elapsed: 0.069 s
% 14.65/2.33 % (1981184)Peak memory usage: 13 MB
% 14.65/2.33 % (1981184)Instructions burned: 116 (million)
% 14.65/2.33 % (1981185)Instruction limit reached!
% 14.65/2.33 % (1981185)------------------------------
% 14.65/2.33 % (1981185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.33 % (1981185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.33 % (1981185)CaDiCaL version: 2.1.3
% 14.65/2.33 % (1981185)Termination reason: Instruction limit
% 14.65/2.33 % (1981185)Termination phase: Saturation
% 14.65/2.33 % (1981185)Time elapsed: 0.078 s
% 14.65/2.33 % (1981185)Peak memory usage: 13 MB
% 14.65/2.33 % (1981185)Instructions burned: 132 (million)
% 14.65/2.33 % TRYING [5]
% 14.65/2.33 % TRYING [5]
% 14.65/2.33 % (1981196)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1585322914:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.65/2.33 % (1981197)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=366387921:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.65/2.33 % (1981186)Instruction limit reached!
% 14.65/2.33 % (1981186)------------------------------
% 14.65/2.33 % (1981186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.33 % (1981186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.33 % (1981186)CaDiCaL version: 2.1.3
% 14.65/2.33 % (1981186)Termination reason: Instruction limit
% 14.65/2.33 % (1981186)Termination phase: Saturation
% 14.65/2.33 % (1981186)Time elapsed: 0.107 s
% 14.65/2.33 % (1981186)Peak memory usage: 14 MB
% 14.65/2.33 % (1981186)Instructions burned: 160 (million)
% 14.65/2.33 % (1981200)ott-21_1_sil=16000:fs=off:random_seed=3430605557:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.65/2.33 % TRYING [6]
% 14.65/2.33 % (1981196)Instruction limit reached!
% 14.65/2.33 % (1981196)------------------------------
% 14.65/2.33 % (1981196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.80 % (1981196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.80 % (1981196)CaDiCaL version: 2.1.3
% 28.56/4.80 % (1981196)Termination reason: Instruction limit
% 28.56/4.80 % (1981196)Termination phase: Saturation
% 28.56/4.80 % (1981196)Time elapsed: 0.084 s
% 28.56/4.80 % (1981196)Peak memory usage: 12 MB
% 28.56/4.80 % (1981196)Instructions burned: 132 (million)
% 28.56/4.80 % (1981194)Instruction limit reached!
% 28.56/4.80 % (1981194)------------------------------
% 28.56/4.80 % (1981194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.80 % (1981194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.80 % (1981194)CaDiCaL version: 2.1.3
% 28.56/4.80 % (1981194)Termination reason: Instruction limit
% 28.56/4.80 % (1981194)Termination phase: Finite model building constraint generation
% 28.56/4.80 % (1981194)Time elapsed: 0.144 s
% 28.56/4.80 % (1981194)Peak memory usage: 31 MB
% 28.56/4.80 % (1981194)Instructions burned: 718 (million)
% 28.56/4.80 % (1981202)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=963119541:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.34/4.80 % (1981203)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1249737237:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.34/4.80 % TRYING [1]
% 32.34/4.80 % TRYING [2]
% 32.34/4.80 % TRYING [3]
% 32.34/4.80 % (1981200)Instruction limit reached!
% 32.34/4.80 % (1981200)------------------------------
% 32.34/4.80 % (1981200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981200)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981200)Termination reason: Instruction limit
% 32.34/4.80 % (1981200)Termination phase: Saturation
% 32.34/4.80 % (1981200)Time elapsed: 0.089 s
% 32.34/4.80 % (1981200)Peak memory usage: 13 MB
% 32.34/4.80 % (1981200)Instructions burned: 180 (million)
% 32.34/4.80 % TRYING [6]
% 32.34/4.80 % TRYING [4]
% 32.34/4.80 % (1981206)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2171533342:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 32.34/4.80 % TRYING [5]
% 32.34/4.80 % (1981203)Instruction limit reached!
% 32.34/4.80 % (1981203)------------------------------
% 32.34/4.80 % (1981203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981203)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981203)Termination reason: Instruction limit
% 32.34/4.80 % (1981203)Termination phase: Finite model building SAT solving
% 32.34/4.80 % (1981203)Time elapsed: 0.182 s
% 32.34/4.80 % (1981203)Peak memory usage: 26 MB
% 32.34/4.80 % (1981203)Instructions burned: 868 (million)
% 32.34/4.80 % (1981208)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1278665009:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 32.34/4.80 % (1981202)Instruction limit reached!
% 32.34/4.80 % (1981202)------------------------------
% 32.34/4.80 % (1981202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981202)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981202)Termination reason: Instruction limit
% 32.34/4.80 % (1981202)Termination phase: Saturation
% 32.34/4.80 % (1981202)Time elapsed: 0.287 s
% 32.34/4.80 % (1981202)Peak memory usage: 15 MB
% 32.34/4.80 % (1981202)Instructions burned: 477 (million)
% 32.34/4.80 % (1981197)Instruction limit reached!
% 32.34/4.80 % (1981197)------------------------------
% 32.34/4.80 % (1981197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981197)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981197)Termination reason: Instruction limit
% 32.34/4.80 % (1981197)Termination phase: Saturation
% 32.34/4.80 % (1981197)Time elapsed: 0.387 s
% 32.34/4.80 % (1981197)Peak memory usage: 19 MB
% 32.34/4.80 % (1981197)Instructions burned: 684 (million)
% 32.34/4.80 % (1981210)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=3845216148: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)
% 32.34/4.80 % (1981211)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3046278133:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 32.34/4.80 % TRYING [7]
% 32.34/4.80 % TRYING [14]
% 32.34/4.80 % (1981208)Instruction limit reached!
% 32.34/4.80 % (1981208)------------------------------
% 32.34/4.80 % (1981208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981208)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981208)Termination reason: Instruction limit
% 32.34/4.80 % (1981208)Termination phase: Finite model building constraint generation
% 32.34/4.80 % (1981208)Time elapsed: 0.218 s
% 32.34/4.80 % (1981208)Peak memory usage: 98 MB
% 32.34/4.80 % (1981208)Instructions burned: 890 (million)
% 32.34/4.80 % (1981214)fmb+10_1_sil=64000:random_seed=3620455232:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 32.34/4.80 % TRYING [1]
% 32.34/4.80 % TRYING [2]
% 32.34/4.80 % TRYING [3]
% 32.34/4.80 % TRYING [4]
% 32.34/4.80 % TRYING [5]
% 32.34/4.80 % (1981210)Instruction limit reached!
% 32.34/4.80 % (1981210)------------------------------
% 32.34/4.80 % (1981210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981210)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981210)Termination reason: Instruction limit
% 32.34/4.80 % (1981210)Termination phase: Saturation
% 32.34/4.80 % (1981210)Time elapsed: 0.388 s
% 32.34/4.80 % (1981210)Peak memory usage: 22 MB
% 32.34/4.80 % (1981210)Instructions burned: 692 (million)
% 32.34/4.80 % TRYING [6]
% 32.34/4.80 % (1981216)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=177297049:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 32.34/4.80 % TRYING [20]
% 32.34/4.80 % (1981206)Instruction limit reached!
% 32.34/4.80 % (1981206)------------------------------
% 32.34/4.80 % (1981206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981206)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981206)Termination reason: Instruction limit
% 32.34/4.80 % (1981206)Termination phase: Saturation
% 32.34/4.80 % (1981206)Time elapsed: 0.685 s
% 32.34/4.80 % (1981206)Peak memory usage: 24 MB
% 32.34/4.80 % (1981206)Instructions burned: 1179 (million)
% 32.34/4.80 % (1981218)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3021053610:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 32.34/4.80 % TRYING [8]
% 32.34/4.80 % (1981211)Instruction limit reached!
% 32.34/4.80 % (1981211)------------------------------
% 32.34/4.80 % (1981211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981211)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981211)Termination reason: Instruction limit
% 32.34/4.80 % (1981211)Termination phase: Saturation
% 32.34/4.80 % (1981211)Time elapsed: 0.491 s
% 32.34/4.80 % (1981211)Peak memory usage: 18 MB
% 32.34/4.80 % (1981211)Instructions burned: 879 (million)
% 32.34/4.80 % (1981220)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4154791122:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 32.34/4.80 % (1981218)Instruction limit reached!
% 32.34/4.80 % (1981218)------------------------------
% 32.34/4.80 % (1981218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981218)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981218)Termination reason: Instruction limit
% 32.34/4.80 % (1981218)Termination phase: Finite model building constraint generation
% 32.34/4.80 % (1981218)Time elapsed: 0.346 s
% 32.34/4.80 % (1981218)Peak memory usage: 79 MB
% 32.34/4.80 % (1981218)Instructions burned: 922 (million)
% 32.34/4.80 % (1981222)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3048856783:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 32.34/4.80 % TRYING [7]
% 32.34/4.80 % TRYING [8]
% 32.34/4.80 % (1981222)Instruction limit reached!
% 32.34/4.80 % (1981222)------------------------------
% 32.34/4.80 % (1981222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981222)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981222)Termination reason: Instruction limit
% 32.34/4.80 % (1981222)Termination phase: Saturation
% 32.34/4.80 % (1981222)Time elapsed: 0.726 s
% 32.34/4.80 % (1981222)Peak memory usage: 31 MB
% 32.34/4.80 % (1981222)Instructions burned: 1472 (million)
% 32.34/4.80 % (1981224)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3572171775:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 32.34/4.80 % TRYING [77]
% 32.34/4.80 % TRYING [8]
% 32.34/4.80 % TRYING [9]
% 32.34/4.80 % (1981220)Instruction limit reached!
% 32.34/4.80 % (1981220)------------------------------
% 32.34/4.80 % (1981220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981220)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981220)Termination reason: Instruction limit
% 32.34/4.80 % (1981220)Termination phase: Saturation
% 32.34/4.80 % (1981220)Time elapsed: 2.767 s
% 32.34/4.80 % (1981220)Peak memory usage: 42 MB
% 32.34/4.80 % (1981220)Instructions burned: 5131 (million)
% 32.34/4.80 % (1981226)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4176718390:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 32.34/4.80 % TRYING [16]
% 32.34/4.80 % (1981216)Instruction limit reached!
% 32.34/4.80 % (1981216)------------------------------
% 32.34/4.80 % (1981216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981216)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981216)Termination reason: Instruction limit
% 32.34/4.80 % (1981216)Termination phase: Finite model building constraint generation
% 32.34/4.80 % (1981216)Time elapsed: 3.375 s
% 32.34/4.80 % (1981216)Peak memory usage: 574 MB
% 32.34/4.80 % (1981216)Instructions burned: 9516 (million)
% 32.34/4.80 % (1981228)ott-2_1_sil=16000:newcnf=on:random_seed=2706443212:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 32.34/4.80 % (1981224)Instruction limit reached!
% 32.34/4.80 % (1981224)------------------------------
% 32.34/4.80 % (1981224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981224)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981224)Termination reason: Instruction limit
% 32.34/4.80 % (1981224)Termination phase: Finite model building constraint generation
% 32.34/4.80 % (1981224)Time elapsed: 2.333 s
% 32.34/4.80 % (1981224)Peak memory usage: 427 MB
% 32.34/4.80 % (1981224)Instructions burned: 6325 (million)
% 32.34/4.80 % (1981230)ott+10_1_sil=32000:tgt=ground:random_seed=1987810164:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 32.34/4.80 % (1981230) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1981175-1981230"...
% 32.34/4.80 % (1981230)...printing done.
% 32.34/4.80 % (1981230)Refutation found. Thanks to Tanya!
% 32.34/4.80 % SZS status Theorem for theBenchmark
% 32.34/4.80 % SZS output start Proof for theBenchmark
% See solution above
% 32.34/4.80 % (1981230)------------------------------
% 32.34/4.80 % (1981230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/4.80 % (1981230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/4.80 % (1981230)CaDiCaL version: 2.1.3
% 32.34/4.80 % (1981230)Termination reason: Refutation
% 32.34/4.80 % (1981230)Time elapsed: 0.033 s
% 32.34/4.80 % (1981230)Peak memory usage: 12 MB
% 32.34/4.80 % (1981230)Instructions burned: 54 (million)
% 32.34/4.80 % (1981175)Success in time 4.578 s
% 32.34/4.80 % Vampire exiting
%------------------------------------------------------------------------------