%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP776+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 10:18:45 AM UTC 2026
% Result : Theorem 2.62s 0.93s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 122 ( 31 unt; 10 def)
% Number of atoms : 250 ( 79 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 243 ( 115 ~; 108 |; 6 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 60 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( g(X0)
=> g(inv(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
g(eh),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
fof(f5,axiom,
! [X0] :
( g(X0)
=> product(eh,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).
fof(f7,axiom,
! [X0] :
( g(X0)
=> product(X0,inv(X0)) = eh ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).
fof(f10,axiom,
! [X0,X1] :
( h(X1)
=> h(opp(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
fof(f11,axiom,
h(eg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( h(X2)
& h(X1)
& h(X0) )
=> sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).
fof(f13,axiom,
! [X0] :
( h(X0)
=> sum(eg,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).
fof(f14,axiom,
! [X0] :
( h(X0)
=> sum(X0,eg) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos14) ).
fof(f16,axiom,
! [X0] :
( h(X0)
=> sum(opp(X0),X0) = eg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).
fof(f17,axiom,
! [X0] :
( g(X0)
=> h(f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos17) ).
fof(f18,axiom,
! [X0,X1] : f(product(X1,X0)) = sum(f(X1),f(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos18) ).
fof(f19,conjecture,
! [X0] :
( f(eh) = eg
& ( ~ g(X0)
| f(inv(X0)) = opp(f(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( f(eh) = eg
& ( ~ g(X0)
| f(inv(X0)) = opp(f(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f23,plain,
! [X0] :
( g(inv(X0))
| ~ g(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] :
( product(eh,X0) = X0
| ~ g(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] :
( product(X0,inv(X0)) = eh
| ~ g(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f32,plain,
! [X0,X1] :
( h(opp(X0))
| ~ h(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0))
| ~ h(X2)
| ~ h(X1)
| ~ h(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0))
| ~ h(X2)
| ~ h(X1)
| ~ h(X0) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( sum(eg,X0) = X0
| ~ h(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0] :
( sum(X0,eg) = X0
| ~ h(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0] :
( sum(opp(X0),X0) = eg
| ~ h(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] :
( h(f(X0))
| ~ g(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f40,plain,
? [X0] :
( eg != f(eh)
| ( g(X0)
& f(inv(X0)) != opp(f(X0)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f41,plain,
( eg != f(eh)
| ( g(sK0)
& f(inv(sK0)) != opp(f(sK0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f40]) ).
fof(f43,plain,
! [X0] :
( g(inv(X0))
| ~ g(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
g(eh),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
! [X0] :
( ~ g(X0)
| product(eh,X0) = X0 ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
! [X0] :
( ~ g(X0)
| eh = product(X0,inv(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X0,X1] :
( h(opp(X0))
| ~ h(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
h(eg),
inference(cnf_transformation,[],[f11]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ h(X2)
| sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0))
| ~ h(X1)
| ~ h(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0] :
( ~ h(X0)
| sum(eg,X0) = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0] :
( ~ h(X0)
| sum(X0,eg) = X0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0] :
( ~ h(X0)
| eg = sum(opp(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f58,plain,
! [X0] :
( ~ g(X0)
| h(f(X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
! [X0,X1] : f(product(X1,X0)) = sum(f(X1),f(X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f60,plain,
( eg != f(eh)
| f(inv(sK0)) != opp(f(sK0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f61,plain,
( eg != f(eh)
| g(sK0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f62,definition,
sF1 = f(eh),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f63,plain,
f(eh) = sF1,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
( eg != sF1
| g(sK0) ),
inference(definition_folding,[],[f61,f63]) ).
fof(f65,definition,
sF2 = inv(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f66,plain,
inv(sK0) = sF2,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF3 = f(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f68,plain,
f(sF2) = sF3,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF4 = f(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f70,plain,
f(sK0) = sF4,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF5 = opp(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f72,plain,
opp(sF4) = sF5,
inference(reorient_equations,[],[f71]) ).
fof(f73,plain,
( eg != sF1
| sF3 != sF5 ),
inference(definition_folding,[],[f60,f72,f70,f68,f66,f63]) ).
fof(f75,definition,
( spl6_1
<=> sF3 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f77,plain,
( sF3 != sF5
| spl6_1 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl6_2
<=> eg = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f80,plain,
( eg = sF1
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( eg != sF1
| spl6_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f73,f79,f75]) ).
fof(f84,definition,
( spl6_3
<=> g(sK0) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f86,plain,
( g(sK0)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl6_3
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f64,f79,f84]) ).
fof(f89,definition,
( spl6_4
<=> ! [X1] : ~ h(X1) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f90,plain,
( ! [X1] : ~ h(X1)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,definition,
( spl6_5
<=> ! [X0] : h(opp(X0)) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f93,plain,
( ! [X0] : h(opp(X0))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f51,f92,f89]) ).
fof(f95,plain,
( $false
| ~ spl6_4 ),
inference(resolution,[],[f90,f52]) ).
fof(f96,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f97,plain,
( h(sF5)
| ~ spl6_5 ),
inference(superposition,[],[f93,f72]) ).
fof(f104,plain,
h(f(eh)),
inference(resolution,[],[f58,f44]) ).
fof(f105,plain,
! [X0] :
( ~ g(X0)
| h(f(inv(X0))) ),
inference(resolution,[],[f58,f43]) ).
fof(f106,plain,
h(sF1),
inference(forward_demodulation,[],[f104,f63]) ).
fof(f107,plain,
eh = product(eh,eh),
inference(resolution,[],[f46,f44]) ).
fof(f115,plain,
sF1 = sum(eg,sF1),
inference(resolution,[],[f54,f106]) ).
fof(f122,plain,
( sF5 = sum(sF5,eg)
| ~ spl6_5 ),
inference(resolution,[],[f55,f97]) ).
fof(f156,plain,
eg = sum(opp(sF1),sF1),
inference(resolution,[],[f57,f106]) ).
fof(f160,plain,
f(eh) = sum(f(eh),f(eh)),
inference(superposition,[],[f59,f107]) ).
fof(f163,plain,
sF1 = sum(sF1,sF1),
inference(forward_demodulation,[],[f160,f63]) ).
fof(f173,plain,
( ! [X2,X0,X1] :
( ~ h(X2)
| ~ h(X1)
| sum(sum(opp(X0),X1),X2) = sum(opp(X0),sum(X1,X2)) )
| ~ spl6_5 ),
inference(resolution,[],[f53,f93]) ).
fof(f177,plain,
( ! [X0,X1] :
( ~ h(X1)
| ~ h(X0)
| sum(sum(sF5,X0),X1) = sum(sF5,sum(X0,X1)) )
| ~ spl6_5 ),
inference(resolution,[],[f53,f97]) ).
fof(f366,plain,
( ! [X0,X1] :
( ~ h(X0)
| sum(sum(opp(X1),X0),sF1) = sum(opp(X1),sum(X0,sF1)) )
| ~ spl6_5 ),
inference(resolution,[],[f173,f106]) ).
fof(f921,plain,
( ! [X0] : sum(sum(opp(X0),sF1),sF1) = sum(opp(X0),sum(sF1,sF1))
| ~ spl6_5 ),
inference(resolution,[],[f366,f106]) ).
fof(f923,plain,
( ! [X0] : sum(opp(X0),sF1) = sum(sum(opp(X0),sF1),sF1)
| ~ spl6_5 ),
inference(forward_demodulation,[],[f921,f163]) ).
fof(f934,plain,
( eg = sum(eg,sF1)
| ~ spl6_5 ),
inference(superposition,[],[f923,f156]) ).
fof(f950,plain,
( eg = sF1
| ~ spl6_5 ),
inference(superposition,[],[f934,f115]) ).
fof(f955,plain,
( $false
| spl6_2
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f950,f81]) ).
fof(f956,plain,
( spl6_2
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f960,plain,
( eh = product(sK0,inv(sK0))
| ~ spl6_3 ),
inference(resolution,[],[f86,f48]) ).
fof(f962,plain,
( h(f(sK0))
| ~ spl6_3 ),
inference(resolution,[],[f86,f58]) ).
fof(f963,plain,
( h(f(inv(sK0)))
| ~ spl6_3 ),
inference(resolution,[],[f86,f105]) ).
fof(f1048,plain,
( h(f(sF2))
| ~ spl6_3 ),
inference(forward_demodulation,[],[f963,f66]) ).
fof(f1049,plain,
( h(sF4)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f962,f70]) ).
fof(f1051,plain,
( eh = product(sK0,sF2)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f960,f66]) ).
fof(f1062,plain,
( h(sF3)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1048,f68]) ).
fof(f1069,plain,
( eg = sum(opp(sF4),sF4)
| ~ spl6_3 ),
inference(resolution,[],[f1049,f57]) ).
fof(f1109,plain,
( eg = sum(sF5,sF4)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1069,f72]) ).
fof(f1112,plain,
( sF3 = sum(eg,sF3)
| ~ spl6_3 ),
inference(resolution,[],[f1062,f54]) ).
fof(f1124,plain,
( ! [X0] :
( ~ h(X0)
| sum(sum(sF5,X0),sF3) = sum(sF5,sum(X0,sF3)) )
| ~ spl6_3
| ~ spl6_5 ),
inference(resolution,[],[f1062,f177]) ).
fof(f1423,plain,
( f(eh) = sum(f(sK0),f(sF2))
| ~ spl6_3 ),
inference(superposition,[],[f59,f1051]) ).
fof(f1425,plain,
( f(eh) = sum(f(sK0),sF3)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1423,f68]) ).
fof(f1426,plain,
( f(eh) = sum(sF4,sF3)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1425,f70]) ).
fof(f1427,plain,
( sF1 = sum(sF4,sF3)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1426,f63]) ).
fof(f1428,plain,
( eg = sum(sF4,sF3)
| ~ spl6_2
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1427,f80]) ).
fof(f7205,plain,
( sum(sum(sF5,sF4),sF3) = sum(sF5,sum(sF4,sF3))
| ~ spl6_3
| ~ spl6_5 ),
inference(resolution,[],[f1124,f1049]) ).
fof(f7207,plain,
( sum(sF5,eg) = sum(sum(sF5,sF4),sF3)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f7205,f1428]) ).
fof(f7231,plain,
( sum(sF5,eg) = sum(eg,sF3)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f7207,f1109]) ).
fof(f7246,plain,
( sF3 = sum(sF5,eg)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f7231,f1112]) ).
fof(f7265,plain,
( sF3 = sF5
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(superposition,[],[f7246,f122]) ).
fof(f7270,plain,
( $false
| spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f7265,f77]) ).
fof(f7271,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f7270]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f82]) ).
cnf(s2,plain,
( ~ spl6_2
| spl6_3 ),
inference(sat_conversion,[],[f87]) ).
cnf(s3,plain,
( spl6_4
| spl6_5 ),
inference(sat_conversion,[],[f94]) ).
cnf(s4,plain,
~ spl6_4,
inference(sat_conversion,[],[f96]) ).
cnf(s7,plain,
( spl6_2
| ~ spl6_5 ),
inference(sat_conversion,[],[f956]) ).
cnf(s9,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5 ),
inference(sat_conversion,[],[f7271]) ).
cnf(s10,plain,
spl6_5,
inference(rat,[],[s3,s4]) ).
cnf(s11,plain,
spl6_2,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
spl6_3,
inference(rat,[],[s2,s11]) ).
cnf(s14,plain,
spl6_1,
inference(rat,[],[s9,s10,s11,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s11,s14]) ).
fof(f7272,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP776+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:43:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/0.93 % (3327042)Will run a generic schedule for satisfiability detection.
% 2.62/0.93 % (3327049)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2500322076:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.62/0.93 % (3327048)% WARNING: option uhcvi not known.
% 2.62/0.93 % (3327047)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1743531999_2999 on theBenchmark for (2999ds/0Mi)
% 2.62/0.93 % (3327052)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4209102474:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.62/0.93 % (3327048)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3682202269:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.62/0.93 % (3327050)dis+10_1_sil=32000:sp=arity:random_seed=1432792906:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.62/0.93 % (3327051)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2503827791:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.62/0.93 % (3327053)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1728469574:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.62/0.93 % TRYING [1]
% 2.62/0.93 % TRYING [2]
% 2.62/0.93 % TRYING [3]
% 2.62/0.93 % TRYING [4]
% 2.62/0.93 % TRYING [5]
% 2.62/0.93 % TRYING [6]
% 2.62/0.93 % (3327050)Instruction limit reached!
% 2.62/0.93 % (3327050)------------------------------
% 2.62/0.93 % (3327050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327050)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327050)Termination reason: Instruction limit
% 2.62/0.93 % (3327050)Termination phase: Saturation
% 2.62/0.93 % (3327050)Time elapsed: 0.059 s
% 2.62/0.93 % (3327050)Peak memory usage: 12 MB
% 2.62/0.93 % (3327050)Instructions burned: 104 (million)
% 2.62/0.93 % (3327051)Instruction limit reached!
% 2.62/0.93 % (3327051)------------------------------
% 2.62/0.93 % (3327051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327051)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327051)Termination reason: Instruction limit
% 2.62/0.93 % (3327051)Termination phase: Saturation
% 2.62/0.93 % (3327051)Time elapsed: 0.067 s
% 2.62/0.93 % (3327051)Peak memory usage: 13 MB
% 2.62/0.93 % (3327051)Instructions burned: 117 (million)
% 2.62/0.93 % (3327052)Instruction limit reached!
% 2.62/0.93 % (3327052)------------------------------
% 2.62/0.93 % (3327052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327052)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327052)Termination reason: Instruction limit
% 2.62/0.93 % (3327052)Termination phase: Saturation
% 2.62/0.93 % (3327052)Time elapsed: 0.069 s
% 2.62/0.93 % (3327052)Peak memory usage: 13 MB
% 2.62/0.93 % (3327052)Instructions burned: 132 (million)
% 2.62/0.93 % (3327061)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2686570012:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.62/0.93 % TRYING [1]
% 2.62/0.93 % TRYING [2]
% 2.62/0.93 % TRYING [3]
% 2.62/0.93 % TRYING [4]
% 2.62/0.93 % (3327062)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1318914504:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.62/0.93 % (3327063)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=2919059937:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.62/0.93 % TRYING [7]
% 2.62/0.93 % TRYING [5]
% 2.62/0.93 % (3327053)Instruction limit reached!
% 2.62/0.93 % (3327053)------------------------------
% 2.62/0.93 % (3327053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327053)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327053)Termination reason: Instruction limit
% 2.62/0.93 % (3327053)Termination phase: Saturation
% 2.62/0.93 % (3327053)Time elapsed: 0.098 s
% 2.62/0.93 % (3327053)Peak memory usage: 14 MB
% 2.62/0.93 % (3327053)Instructions burned: 160 (million)
% 2.62/0.93 % TRYING [6]
% 2.62/0.93 % (3327067)ott-21_1_sil=16000:fs=off:random_seed=1644549799:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.62/0.93 % (3327062)Instruction limit reached!
% 2.62/0.93 % (3327062)------------------------------
% 2.62/0.93 % (3327062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327062)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327062)Termination reason: Instruction limit
% 2.62/0.93 % (3327062)Termination phase: Saturation
% 2.62/0.93 % (3327062)Time elapsed: 0.069 s
% 2.62/0.93 % (3327062)Peak memory usage: 12 MB
% 2.62/0.93 % (3327062)Instructions burned: 131 (million)
% 2.62/0.93 % TRYING [7]
% 2.62/0.93 % (3327069)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2542622227:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.62/0.93 % (3327067)Instruction limit reached!
% 2.62/0.93 % (3327067)------------------------------
% 2.62/0.93 % (3327067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327067)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327067)Termination reason: Instruction limit
% 2.62/0.93 % (3327067)Termination phase: Saturation
% 2.62/0.93 % (3327067)Time elapsed: 0.079 s
% 2.62/0.93 % (3327067)Peak memory usage: 12 MB
% 2.62/0.93 % (3327067)Instructions burned: 182 (million)
% 2.62/0.93 % TRYING [8]
% 2.62/0.93 % (3327071)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2315286645:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.62/0.93 % TRYING [1]
% 2.62/0.93 % TRYING [2]
% 2.62/0.93 % TRYING [3]
% 2.62/0.93 % TRYING [4]
% 2.62/0.93 % TRYING [8]
% 2.62/0.93 % TRYING [5]
% 2.62/0.93 % (3327063)Instruction limit reached!
% 2.62/0.93 % (3327063)------------------------------
% 2.62/0.93 % (3327063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327063)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327063)Termination reason: Instruction limit
% 2.62/0.93 % (3327063)Termination phase: Saturation
% 2.62/0.93 % (3327063)Time elapsed: 0.219 s
% 2.62/0.93 % (3327063)Peak memory usage: 14 MB
% 2.62/0.93 % (3327063)Instructions burned: 685 (million)
% 2.62/0.93 % (3327073)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=43061336:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.62/0.93 % (3327061)Instruction limit reached!
% 2.62/0.93 % (3327061)------------------------------
% 2.62/0.93 % (3327061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327061)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327061)Termination reason: Instruction limit
% 2.62/0.93 % (3327061)Termination phase: Finite model building constraint generation
% 2.62/0.93 % (3327061)Time elapsed: 0.250 s
% 2.62/0.93 % (3327061)Peak memory usage: 28 MB
% 2.62/0.93 % (3327061)Instructions burned: 716 (million)
% 2.62/0.93 % (3327075)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3413377625:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 2.62/0.93 % TRYING [6]
% 2.62/0.93 % TRYING [14]
% 2.62/0.93 % TRYING [9]
% 2.62/0.93 % (3327069)Instruction limit reached!
% 2.62/0.93 % (3327069)------------------------------
% 2.62/0.93 % (3327069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327069)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327069)Termination reason: Instruction limit
% 2.62/0.93 % (3327069)Termination phase: Saturation
% 2.62/0.93 % (3327069)Time elapsed: 0.287 s
% 2.62/0.93 % (3327069)Peak memory usage: 16 MB
% 2.62/0.93 % (3327069)Instructions burned: 478 (million)
% 2.62/0.93 % (3327073) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3327042-3327073"...
% 2.62/0.93 % (3327073)...printing done.
% 2.62/0.93 % (3327073)Refutation found. Thanks to Tanya!
% 2.62/0.93 % SZS status Theorem for theBenchmark
% 2.62/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/0.93 % (3327073)------------------------------
% 2.62/0.93 % (3327073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.93 % (3327073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.93 % (3327073)CaDiCaL version: 2.1.3
% 2.62/0.93 % (3327073)Termination reason: Refutation
% 2.62/0.93 % (3327073)Time elapsed: 0.139 s
% 2.62/0.93 % (3327073)Peak memory usage: 16 MB
% 2.62/0.93 % (3327073)Instructions burned: 257 (million)
% 2.62/0.93 % (3327042)Success in time 0.508 s
% 2.62/0.93 % Vampire exiting
%------------------------------------------------------------------------------