%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU326+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 : n007.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 12:52:53 PM UTC 2026
% Result : Theorem 0.17s 1.70s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 6 unt; 2 def)
% Number of atoms : 114 ( 44 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 124 ( 58 ~; 49 |; 10 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(f258,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f360,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( ~ ( X1 != empty_set
& complements_of_subsets(X0,X1) = empty_set )
& ~ ( complements_of_subsets(X0,X1) != empty_set
& X1 = empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tops_2) ).
fof(f361,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( ~ ( X1 != empty_set
& complements_of_subsets(X0,X1) = empty_set )
& ~ ( complements_of_subsets(X0,X1) != empty_set
& X1 = empty_set ) ) ),
inference(negated_conjecture,[status(cth)],[f360]) ).
fof(f476,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( X1 != empty_set
& complements_of_subsets(X0,X1) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_setfam_1) ).
fof(f742,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f167]) ).
fof(f828,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f258]) ).
fof(f936,plain,
? [X0,X1] :
( ( ( X1 != empty_set
& complements_of_subsets(X0,X1) = empty_set )
| ( complements_of_subsets(X0,X1) != empty_set
& X1 = empty_set ) )
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f361]) ).
fof(f1076,plain,
! [X0,X1] :
( empty_set = X1
| empty_set != complements_of_subsets(X0,X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f476]) ).
fof(f1077,plain,
! [X0,X1] :
( empty_set = X1
| empty_set != complements_of_subsets(X0,X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f1076]) ).
fof(f1590,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f742]) ).
fof(f1758,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f828]) ).
fof(f2509,plain,
( empty_set != complements_of_subsets(sK341,sK342)
| empty_set != sK342 ),
inference(cnf_transformation,[],[f936]) ).
fof(f2510,plain,
( empty_set = sK342
| empty_set = complements_of_subsets(sK341,sK342) ),
inference(cnf_transformation,[],[f936]) ).
fof(f2511,plain,
element(sK342,powerset(powerset(sK341))),
inference(cnf_transformation,[],[f936]) ).
fof(f2699,plain,
! [X0,X1] :
( empty_set != complements_of_subsets(X0,X1)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1 ),
inference(cnf_transformation,[],[f1077]) ).
fof(f3432,definition,
( spl373_1
<=> empty_set = sK342 ),
introduced(definition,[new_symbols(definition,[spl373_1])],[avatar_definition]) ).
fof(f3433,plain,
( empty_set = sK342
| ~ spl373_1 ),
inference(avatar_component_clause,[],[f3432]) ).
fof(f3434,plain,
( empty_set != sK342
| spl373_1 ),
inference(avatar_component_clause,[],[f3432]) ).
fof(f3436,definition,
( spl373_2
<=> empty_set = complements_of_subsets(sK341,sK342) ),
introduced(definition,[new_symbols(definition,[spl373_2])],[avatar_definition]) ).
fof(f3437,plain,
( empty_set = complements_of_subsets(sK341,sK342)
| ~ spl373_2 ),
inference(avatar_component_clause,[],[f3436]) ).
fof(f3438,plain,
( empty_set != complements_of_subsets(sK341,sK342)
| spl373_2 ),
inference(avatar_component_clause,[],[f3436]) ).
fof(f3439,plain,
( ~ spl373_1
| ~ spl373_2 ),
inference(avatar_split_clause,[],[f2509,f3436,f3432]) ).
fof(f3440,plain,
( empty_set = complements_of_subsets(sK341,sK342)
| spl373_1 ),
inference(forward_subsumption_resolution,[],[f2510,f3434]) ).
fof(f3441,plain,
( spl373_2
| spl373_1 ),
inference(avatar_split_clause,[],[f3440,f3432,f3436]) ).
fof(f3442,plain,
( element(empty_set,powerset(powerset(sK341)))
| ~ spl373_1 ),
inference(superposition,[],[f2511,f3433]) ).
fof(f3443,plain,
( empty_set != complements_of_subsets(sK341,empty_set)
| ~ spl373_1
| spl373_2 ),
inference(forward_demodulation,[],[f3438,f3433]) ).
fof(f10666,plain,
sK342 = complements_of_subsets(sK341,complements_of_subsets(sK341,sK342)),
inference(resolution,[],[f1758,f2511]) ).
fof(f10690,plain,
( empty_set = complements_of_subsets(sK341,complements_of_subsets(sK341,empty_set))
| ~ spl373_1 ),
inference(forward_demodulation,[],[f10666,f3433]) ).
fof(f11600,plain,
( empty_set != empty_set
| ~ element(complements_of_subsets(sK341,empty_set),powerset(powerset(sK341)))
| empty_set = complements_of_subsets(sK341,empty_set)
| ~ spl373_1 ),
inference(superposition,[],[f2699,f10690]) ).
fof(f11601,plain,
( ~ element(complements_of_subsets(sK341,empty_set),powerset(powerset(sK341)))
| empty_set = complements_of_subsets(sK341,empty_set)
| ~ spl373_1 ),
inference(trivial_inequality_removal,[],[f11600]) ).
fof(f11602,plain,
( ~ element(complements_of_subsets(sK341,empty_set),powerset(powerset(sK341)))
| ~ spl373_1
| spl373_2 ),
inference(forward_subsumption_resolution,[],[f11601,f3443]) ).
fof(f11603,plain,
( ~ element(empty_set,powerset(powerset(sK341)))
| ~ spl373_1
| spl373_2 ),
inference(resolution,[],[f11602,f1590]) ).
fof(f11610,plain,
( $false
| ~ spl373_1
| spl373_2 ),
inference(forward_subsumption_resolution,[],[f11603,f3442]) ).
fof(f11611,plain,
( ~ spl373_1
| spl373_2 ),
inference(avatar_contradiction_clause,[],[f11610]) ).
fof(f11615,plain,
( empty_set != empty_set
| ~ element(sK342,powerset(powerset(sK341)))
| empty_set = sK342
| ~ spl373_2 ),
inference(superposition,[],[f2699,f3437]) ).
fof(f11617,plain,
( ~ element(sK342,powerset(powerset(sK341)))
| empty_set = sK342
| ~ spl373_2 ),
inference(trivial_inequality_removal,[],[f11615]) ).
fof(f11618,plain,
( empty_set = sK342
| ~ spl373_2 ),
inference(forward_subsumption_resolution,[],[f11617,f2511]) ).
fof(f11619,plain,
( $false
| spl373_1
| ~ spl373_2 ),
inference(forward_subsumption_resolution,[],[f11618,f3434]) ).
fof(f11620,plain,
( spl373_1
| ~ spl373_2 ),
inference(avatar_contradiction_clause,[],[f11619]) ).
cnf(s1,plain,
( ~ spl373_1
| ~ spl373_2 ),
inference(sat_conversion,[],[f3439]) ).
cnf(s2,plain,
( spl373_1
| spl373_2 ),
inference(sat_conversion,[],[f3441]) ).
cnf(s38,plain,
( ~ spl373_1
| spl373_2 ),
inference(sat_conversion,[],[f11611]) ).
cnf(s39,plain,
( spl373_1
| ~ spl373_2 ),
inference(sat_conversion,[],[f11620]) ).
cnf(s43,plain,
spl373_1,
inference(rat,[],[s2,s39]) ).
cnf(s44,plain,
spl373_2,
inference(rat,[],[s38,s43]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s1,s44,s43]) ).
fof(f11621,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU326+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:41:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 7.42/1.70 % (2028271)Will run a generic schedule for satisfiability detection.
% 7.42/1.70 % (2028281)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1633683799:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.42/1.70 % (2028277)% WARNING: option uhcvi not known.
% 7.42/1.70 % (2028279)dis+10_1_sil=32000:sp=arity:random_seed=1995423858:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.42/1.70 % (2028276)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=338493081_2999 on theBenchmark for (2999ds/0Mi)
% 7.42/1.70 % (2028277)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1280355050:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.42/1.70 % (2028278)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=181644144:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.42/1.70 % (2028280)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4020670283:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.42/1.70 % (2028282)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4149282578:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.42/1.70 % (2028281)Instruction limit reached!
% 7.42/1.70 % (2028281)------------------------------
% 7.42/1.70 % (2028281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028281)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028281)Termination reason: Instruction limit
% 7.42/1.70 % (2028281)Termination phase: Saturation
% 7.42/1.70 % (2028281)Time elapsed: 0.042 s
% 7.42/1.70 % (2028281)Peak memory usage: 15 MB
% 7.42/1.70 % (2028281)Instructions burned: 133 (million)
% 7.42/1.70 % (2028290)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3214004399:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.42/1.70 % (2028280)Instruction limit reached!
% 7.42/1.70 % (2028280)------------------------------
% 7.42/1.70 % (2028280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028280)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028280)Termination reason: Instruction limit
% 7.42/1.70 % (2028280)Termination phase: Blocked clause elimination
% 7.42/1.70 % (2028280)Time elapsed: 0.059 s
% 7.42/1.70 % (2028280)Peak memory usage: 13 MB
% 7.42/1.70 % (2028280)Instructions burned: 117 (million)
% 7.42/1.70 % (2028279)Instruction limit reached!
% 7.42/1.70 % (2028279)------------------------------
% 7.42/1.70 % (2028279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028279)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028279)Termination reason: Instruction limit
% 7.42/1.70 % (2028279)Termination phase: Saturation
% 7.42/1.70 % (2028279)Time elapsed: 0.060 s
% 7.42/1.70 % (2028279)Peak memory usage: 14 MB
% 7.42/1.70 % (2028279)Instructions burned: 104 (million)
% 7.42/1.70 % (2028292)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1171260148:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.42/1.70 % (2028293)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=2220027449:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.42/1.70 % (2028282)Instruction limit reached!
% 7.42/1.70 % (2028282)------------------------------
% 7.42/1.70 % (2028282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028282)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028282)Termination reason: Instruction limit
% 7.42/1.70 % (2028282)Termination phase: Saturation
% 7.42/1.70 % (2028282)Time elapsed: 0.094 s
% 7.42/1.70 % (2028282)Peak memory usage: 16 MB
% 7.42/1.70 % (2028282)Instructions burned: 160 (million)
% 7.42/1.70 % (2028296)ott-21_1_sil=16000:fs=off:random_seed=2710988927:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.42/1.70 % TRYING [1]
% 7.42/1.70 % TRYING [2]
% 7.42/1.70 % (2028292)Instruction limit reached!
% 7.42/1.70 % (2028292)------------------------------
% 7.42/1.70 % (2028292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028292)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028292)Termination reason: Instruction limit
% 7.42/1.70 % (2028292)Termination phase: Saturation
% 7.42/1.70 % (2028292)Time elapsed: 0.073 s
% 7.42/1.70 % (2028292)Peak memory usage: 15 MB
% 7.42/1.70 % (2028292)Instructions burned: 132 (million)
% 7.42/1.70 % TRYING [3]
% 7.42/1.70 % TRYING [1]
% 7.42/1.70 % TRYING [2]
% 7.42/1.70 % (2028298)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4054304322:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.42/1.70 % (2028290)Instruction limit reached!
% 7.42/1.70 % (2028290)------------------------------
% 7.42/1.70 % (2028290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028290)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028290)Termination reason: Instruction limit
% 7.42/1.70 % (2028290)Termination phase: Finite model building constraint generation
% 7.42/1.70 % (2028290)Time elapsed: 0.155 s
% 7.42/1.70 % (2028290)Peak memory usage: 30 MB
% 7.42/1.70 % (2028290)Instructions burned: 715 (million)
% 7.42/1.70 % (2028296)Instruction limit reached!
% 7.42/1.70 % (2028296)------------------------------
% 7.42/1.70 % (2028296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028296)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028296)Termination reason: Instruction limit
% 7.42/1.70 % (2028296)Termination phase: Saturation
% 7.42/1.70 % (2028296)Time elapsed: 0.097 s
% 7.42/1.70 % (2028296)Peak memory usage: 15 MB
% 7.42/1.70 % (2028296)Instructions burned: 182 (million)
% 7.42/1.70 % (2028300)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1124747146:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.42/1.70 % (2028301)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3418687565:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.42/1.70 % TRYING [3]
% 7.42/1.70 % TRYING [1]
% 7.42/1.70 % TRYING [2]
% 7.42/1.70 % (2028293)Instruction limit reached!
% 7.42/1.70 % (2028293)------------------------------
% 7.42/1.70 % (2028293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028293)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028293)Termination reason: Instruction limit
% 7.42/1.70 % (2028293)Termination phase: Saturation
% 7.42/1.70 % (2028293)Time elapsed: 0.364 s
% 7.42/1.70 % (2028293)Peak memory usage: 21 MB
% 7.42/1.70 % (2028293)Instructions burned: 684 (million)
% 7.42/1.70 % TRYING [3]
% 7.42/1.70 % (2028300)Instruction limit reached!
% 7.42/1.70 % (2028300)------------------------------
% 7.42/1.70 % (2028300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028300)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028300)Termination reason: Instruction limit
% 7.42/1.70 % (2028300)Termination phase: Finite model building constraint generation
% 7.42/1.70 % (2028300)Time elapsed: 0.227 s
% 7.42/1.70 % (2028300)Peak memory usage: 34 MB
% 7.42/1.70 % (2028300)Instructions burned: 871 (million)
% 7.42/1.70 % (2028305)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=622885922: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)
% 7.42/1.70 % (2028304)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=826551353:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.42/1.70 % (2028298)Instruction limit reached!
% 7.42/1.70 % (2028298)------------------------------
% 7.42/1.70 % (2028298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.70 % (2028298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.70 % (2028298)CaDiCaL version: 2.1.3
% 7.42/1.70 % (2028298)Termination reason: Instruction limit
% 7.42/1.70 % (2028298)Termination phase: Saturation
% 7.42/1.70 % (2028298)Time elapsed: 0.322 s
% 7.42/1.70 % (2028298)Peak memory usage: 16 MB
% 7.42/1.70 % (2028298)Instructions burned: 478 (million)
% 7.42/1.70 % (2028308)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=929883101:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.42/1.70 % (2028305)Instruction limit reached!
% 7.42/1.70 % (2028305)------------------------------
% 7.42/1.70 % (2028305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/1.70 % (2028305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2028305)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2028305)Termination reason: Instruction limit
% 0.17/1.70 % (2028305)Termination phase: Saturation
% 0.17/1.70 % (2028305)Time elapsed: 0.232 s
% 0.17/1.70 % (2028305)Peak memory usage: 26 MB
% 0.17/1.70 % (2028305)Instructions burned: 693 (million)
% 0.17/1.70 % TRYING [4]
% 0.17/1.70 % (2028310)fmb+10_1_sil=64000:random_seed=4239015545:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 0.17/1.70 % TRYING [1]
% 0.17/1.70 % TRYING [2]
% 0.17/1.70 % (2028304)Instruction limit reached!
% 0.17/1.70 % (2028304)------------------------------
% 0.17/1.70 % (2028304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/1.70 % (2028304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2028304)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2028304)Termination reason: Instruction limit
% 0.17/1.70 % (2028304)Termination phase: Finite model building constraint generation
% 0.17/1.70 % (2028304)Time elapsed: 0.422 s
% 0.17/1.70 % (2028304)Peak memory usage: 88 MB
% 0.17/1.70 % (2028304)Instructions burned: 890 (million)
% 0.17/1.70 % TRYING [3]
% 0.17/1.70 % (2028312)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2136189913:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 0.17/1.70 % (2028308)Instruction limit reached!
% 0.17/1.70 % (2028308)------------------------------
% 0.17/1.70 % (2028308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/1.70 % (2028308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2028308)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2028308)Termination reason: Instruction limit
% 0.17/1.70 % (2028308)Termination phase: Saturation
% 0.17/1.70 % (2028308)Time elapsed: 0.427 s
% 0.17/1.70 % (2028308)Peak memory usage: 23 MB
% 0.17/1.70 % (2028308)Instructions burned: 880 (million)
% 0.17/1.70 % (2028301)Instruction limit reached!
% 0.17/1.70 % (2028301)------------------------------
% 0.17/1.70 % (2028301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/1.70 % (2028301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2028301)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2028301)Termination reason: Instruction limit
% 0.17/1.70 % (2028301)Termination phase: Saturation
% 0.17/1.70 % (2028301)Time elapsed: 0.728 s
% 0.17/1.70 % (2028301)Peak memory usage: 29 MB
% 0.17/1.70 % (2028301)Instructions burned: 1179 (million)
% 0.17/1.70 % (2028314)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2265493305:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 0.17/1.70 % (2028315)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4000230906:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 0.17/1.70 % (2028312)Cannot represent all propositional literals internally
% 0.17/1.70 % (2028312)Refutation not found, incomplete strategy
% 0.17/1.70 % (2028312)------------------------------
% 0.17/1.70 % (2028312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/1.70 % (2028312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2028312)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2028312)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2028312)Time elapsed: 0.144 s
% 0.17/1.70 % (2028312)Peak memory usage: 17 MB
% 0.17/1.70 % (2028312)Instructions burned: 288 (million)
% 0.17/1.70 % (2028312)------------------------------
% 0.17/1.70 % (2028312)------------------------------
% 0.17/1.70 % (2028318)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=637424297:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 0.17/1.70 % TRYING [8]
% 0.17/1.70 % (2028315) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2028271-2028315"...
% 0.17/1.70 % (2028315)...printing done.
% 0.17/1.70 % (2028315)Refutation found. Thanks to Tanya!
% 0.17/1.70 % SZS status Theorem for theBenchmark
% 0.17/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (2028315)------------------------------
% 0.17/1.70 % (2028315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/1.70 % (2028315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2028315)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2028315)Termination reason: Refutation
% 0.17/1.70 % (2028315)Time elapsed: 0.209 s
% 0.17/1.70 % (2028315)Peak memory usage: 18 MB
% 0.17/1.70 % (2028315)Instructions burned: 339 (million)
% 0.17/1.70 % (2028271)Success in time 1.268 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------