%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:53:05 PM UTC 2026
% Result : Theorem 0.90s 0.65s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f534,axiom,
! [X0] : k1_pcomps_1(X0) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f672,axiom,
! [X0] :
( the_carrier(incl_POSet(X0)) = X0
& the_InternalRel(incl_POSet(X0)) = inclusion_order(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_yellow_1) ).
fof(f777,conjecture,
! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f778,negated_conjecture,
~ ! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
inference(negated_conjecture,[status(cth)],[f777]) ).
fof(f781,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f1862,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f778]) ).
fof(f2852,plain,
powerset(sK607) != the_carrier(boole_POSet(sK607)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK607]),skolemize(X0,sK607)],[f1862]) ).
fof(f3481,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f159]) ).
fof(f4666,plain,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f534]) ).
fof(f5329,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[],[f672]) ).
fof(f5514,plain,
powerset(sK607) != the_carrier(boole_POSet(sK607)),
inference(cnf_transformation,[],[f2852]) ).
fof(f5518,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f781]) ).
fof(f6455,plain,
k1_pcomps_1(sK607) != the_carrier(poset_of_lattice(boole_lattice(sK607))),
inference(definition_unfolding,[],[f5514,f4666,f3481]) ).
fof(f6459,plain,
! [X0] : poset_of_lattice(boole_lattice(X0)) = incl_POSet(k1_pcomps_1(X0)),
inference(definition_unfolding,[],[f5518,f3481,f4666]) ).
fof(f7882,plain,
! [X0] : k1_pcomps_1(X0) = the_carrier(poset_of_lattice(boole_lattice(X0))),
inference(superposition,[],[f5329,f6459]) ).
fof(f7913,plain,
k1_pcomps_1(sK607) != k1_pcomps_1(sK607),
inference(superposition,[],[f6455,f7882]) ).
fof(f7919,plain,
$false,
inference(trivial_inequality_removal,[],[f7913]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n018.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 05:04:10 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.90/0.65 % (3000730)Will run a generic schedule for satisfiability detection.
% 0.90/0.65 % (3000740)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=196161181:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.65 % (3000736)% WARNING: option uhcvi not known.
% 0.90/0.65 % (3000735)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3617133280_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.65 % (3000736)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1595032841:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.65 % (3000737)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=160029146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.65 % (3000738)dis+10_1_sil=32000:sp=arity:random_seed=392676696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.65 % (3000739)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2468491171:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.65 % (3000741)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2244291839:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.65 % (3000740)Instruction limit reached!
% 0.90/0.65 % (3000740)------------------------------
% 0.90/0.65 % (3000740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.65 % (3000740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.65 % (3000740)CaDiCaL version: 2.1.3
% 0.90/0.65 % (3000740)Termination reason: Instruction limit
% 0.90/0.65 % (3000740)Termination phase: Saturation
% 0.90/0.65 % (3000740)Time elapsed: 0.039 s
% 0.90/0.65 % (3000740)Peak memory usage: 16 MB
% 0.90/0.65 % (3000740)Instructions burned: 133 (million)
% 0.90/0.65 % (3000749)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2462426896:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.90/0.65 % (3000738)Instruction limit reached!
% 0.90/0.65 % (3000738)------------------------------
% 0.90/0.65 % (3000738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.65 % (3000738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.65 % (3000738)CaDiCaL version: 2.1.3
% 0.90/0.65 % (3000738)Termination reason: Instruction limit
% 0.90/0.65 % (3000738)Termination phase: Saturation
% 0.90/0.65 % (3000738)Time elapsed: 0.054 s
% 0.90/0.65 % (3000738)Peak memory usage: 15 MB
% 0.90/0.65 % (3000738)Instructions burned: 104 (million)
% 0.90/0.65 % (3000739)Instruction limit reached!
% 0.90/0.65 % (3000739)------------------------------
% 0.90/0.65 % (3000739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.65 % (3000739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.65 % (3000739)CaDiCaL version: 2.1.3
% 0.90/0.65 % (3000739)Termination reason: Instruction limit
% 0.90/0.65 % (3000739)Termination phase: Property scanning
% 0.90/0.65 % (3000739)Time elapsed: 0.058 s
% 0.90/0.65 % (3000739)Peak memory usage: 14 MB
% 0.90/0.65 % (3000739)Instructions burned: 117 (million)
% 0.90/0.65 % (3000751)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2965994181:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.90/0.65 % (3000752)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=475934049:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.65 % (3000741)Instruction limit reached!
% 0.90/0.65 % (3000741)------------------------------
% 0.90/0.65 % (3000741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.65 % (3000741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.65 % (3000741)CaDiCaL version: 2.1.3
% 0.90/0.65 % (3000741)Termination reason: Instruction limit
% 0.90/0.65 % (3000741)Termination phase: Saturation
% 0.90/0.65 % (3000741)Time elapsed: 0.089 s
% 0.90/0.65 % (3000741)Peak memory usage: 17 MB
% 0.90/0.65 % (3000741)Instructions burned: 160 (million)
% 0.90/0.65 % (3000755)ott-21_1_sil=16000:fs=off:random_seed=1956514761:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.90/0.65 % (3000737) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3000730-3000737"...
% 0.90/0.65 % (3000737)...printing done.
% 0.90/0.65 % (3000737)Refutation found. Thanks to Tanya!
% 0.90/0.65 % SZS status Theorem for theBenchmark
% 0.90/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.65 % (3000737)------------------------------
% 0.90/0.65 % (3000737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.65 % (3000737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.65 % (3000737)CaDiCaL version: 2.1.3
% 0.90/0.65 % (3000737)Termination reason: Refutation
% 0.90/0.65 % (3000737)Time elapsed: 0.126 s
% 0.90/0.65 % (3000737)Peak memory usage: 20 MB
% 0.90/0.65 % (3000737)Instructions burned: 223 (million)
% 0.90/0.65 % (3000730)Success in time 0.204 s
% 0.90/0.65 % Vampire exiting
%------------------------------------------------------------------------------