%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET694+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:44:27 PM UTC 2026
% Result : Theorem 94.88s 13.89s
% Output : Refutation 94.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 39 ~; 29 |; 11 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f3,axiom,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',power_set) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',union) ).
fof(f12,conjecture,
! [X0,X1] : subset(union(power_set(X0),power_set(X1)),power_set(union(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI22) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] : subset(union(power_set(X0),power_set(X1)),power_set(union(X0,X1))),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
? [X0,X1] : ~ subset(union(power_set(X0),power_set(X1)),power_set(union(X0,X1))),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f23]) ).
fof(f36,plain,
~ subset(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f16]) ).
fof(f37,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f63,plain,
~ subset(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),
inference(cnf_transformation,[],[f36]) ).
fof(f71,plain,
member(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),union(power_set(sK3),power_set(sK4))),
inference(unit_resulting_resolution,[],[f38,f63]) ).
fof(f79,plain,
~ member(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),power_set(union(sK3,sK4))),
inference(unit_resulting_resolution,[],[f39,f63]) ).
fof(f80,plain,
~ subset(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),union(sK3,sK4)),
inference(unit_resulting_resolution,[],[f41,f79]) ).
fof(f81,plain,
~ member(sK0(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),union(sK3,sK4)),union(sK3,sK4)),
inference(unit_resulting_resolution,[],[f39,f80]) ).
fof(f82,plain,
member(sK0(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),union(sK3,sK4)),sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4)))),
inference(unit_resulting_resolution,[],[f38,f80]) ).
fof(f315,plain,
~ member(sK0(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),union(sK3,sK4)),sK4),
inference(unit_resulting_resolution,[],[f46,f81]) ).
fof(f450,plain,
~ member(sK0(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),union(sK3,sK4)),sK3),
inference(unit_resulting_resolution,[],[f47,f81]) ).
fof(f5482,plain,
~ subset(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),sK3),
inference(unit_resulting_resolution,[],[f37,f450,f82]) ).
fof(f5483,plain,
~ subset(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),sK4),
inference(unit_resulting_resolution,[],[f37,f315,f82]) ).
fof(f5687,plain,
~ member(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),power_set(sK3)),
inference(unit_resulting_resolution,[],[f40,f5482]) ).
fof(f5691,plain,
~ member(sK0(union(power_set(sK3),power_set(sK4)),power_set(union(sK3,sK4))),power_set(sK4)),
inference(unit_resulting_resolution,[],[f40,f5483]) ).
fof(f109640,plain,
$false,
inference(unit_resulting_resolution,[],[f45,f5687,f5691,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET694+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:35:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 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
% 16.13/2.81 % (2938145)Will run a generic schedule for satisfiability detection.
% 16.13/2.81 % (2938151)% WARNING: option uhcvi not known.
% 16.13/2.81 % (2938151)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2358940723:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.13/2.81 % (2938152)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=877783705:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.13/2.81 % (2938153)dis+10_1_sil=32000:sp=arity:random_seed=489403091:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.13/2.81 % (2938155)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1643909532:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.13/2.81 % (2938156)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2603667411:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.13/2.81 % (2938154)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3302793946:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.13/2.81 % (2938150)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2219075428_2999 on theBenchmark for (2999ds/0Mi)
% 16.13/2.81 % TRYING [1]
% 16.13/2.81 % TRYING [2]
% 16.13/2.81 % TRYING [3]
% 16.13/2.81 % TRYING [4]
% 16.13/2.81 % TRYING [5]
% 16.13/2.81 % TRYING [6]
% 16.13/2.81 % (2938153)Instruction limit reached!
% 16.13/2.81 % (2938153)------------------------------
% 16.13/2.81 % (2938153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.81 % (2938153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.81 % (2938153)CaDiCaL version: 2.1.3
% 16.13/2.81 % (2938153)Termination reason: Instruction limit
% 16.13/2.81 % (2938153)Termination phase: Saturation
% 16.13/2.81 % (2938153)Time elapsed: 0.105 s
% 16.13/2.81 % (2938153)Peak memory usage: 12 MB
% 16.13/2.81 % (2938153)Instructions burned: 103 (million)
% 16.13/2.81 % (2938154)Instruction limit reached!
% 16.13/2.81 % (2938154)------------------------------
% 16.13/2.81 % (2938154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.81 % (2938154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.81 % (2938154)CaDiCaL version: 2.1.3
% 16.13/2.81 % (2938154)Termination reason: Instruction limit
% 16.13/2.81 % (2938154)Termination phase: Saturation
% 16.13/2.81 % (2938154)Time elapsed: 0.112 s
% 16.13/2.81 % (2938154)Peak memory usage: 12 MB
% 16.13/2.81 % (2938154)Instructions burned: 116 (million)
% 16.13/2.81 % TRYING [7]
% 16.13/2.81 % (2938170)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1918697447:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 16.13/2.81 % (2938155)Instruction limit reached!
% 16.13/2.81 % (2938155)------------------------------
% 16.13/2.81 % (2938155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.81 % (2938155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.81 % (2938155)CaDiCaL version: 2.1.3
% 16.13/2.81 % (2938155)Termination reason: Instruction limit
% 16.13/2.81 % (2938155)Termination phase: Saturation
% 16.13/2.81 % (2938155)Time elapsed: 0.138 s
% 16.13/2.81 % (2938155)Peak memory usage: 13 MB
% 16.13/2.81 % (2938155)Instructions burned: 132 (million)
% 16.13/2.81 % TRYING [1]
% 16.13/2.81 % TRYING [2]
% 16.13/2.81 % TRYING [3]
% 16.13/2.81 % TRYING [4]
% 16.13/2.81 % (2938171)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1526926648:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.13/2.81 % TRYING [5]
% 16.13/2.81 % (2938156)Instruction limit reached!
% 16.13/2.81 % (2938156)------------------------------
% 16.13/2.81 % (2938156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.81 % (2938156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.81 % (2938156)CaDiCaL version: 2.1.3
% 16.13/2.81 % (2938156)Termination reason: Instruction limit
% 16.13/2.81 % (2938156)Termination phase: Saturation
% 16.13/2.81 % (2938156)Time elapsed: 0.168 s
% 16.13/2.81 % (2938156)Peak memory usage: 13 MB
% 16.13/2.81 % (2938156)Instructions burned: 160 (million)
% 16.13/2.81 % (2938173)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=4095472039:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.13/2.81 % TRYING [6]
% 16.13/2.81 % (2938175)ott-21_1_sil=16000:fs=off:random_seed=1494851857:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 16.13/2.81 % TRYING [8]
% 16.13/2.81 % TRYING [7]
% 16.13/2.81 % (2938171)Instruction limit reached!
% 16.13/2.81 % (2938171)------------------------------
% 16.13/2.81 % (2938171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.89/8.31 % (2938171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.89/8.31 % (2938171)CaDiCaL version: 2.1.3
% 55.89/8.31 % (2938171)Termination reason: Instruction limit
% 55.89/8.31 % (2938171)Termination phase: Saturation
% 55.89/8.31 % (2938171)Time elapsed: 0.105 s
% 55.89/8.31 % (2938171)Peak memory usage: 14 MB
% 55.89/8.31 % (2938171)Instructions burned: 131 (million)
% 55.89/8.31 % (2938178)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4032001515:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 55.89/8.31 % (2938175)Instruction limit reached!
% 55.89/8.31 % (2938175)------------------------------
% 55.89/8.31 % (2938175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.89/8.31 % (2938175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.89/8.31 % (2938175)CaDiCaL version: 2.1.3
% 55.89/8.31 % (2938175)Termination reason: Instruction limit
% 55.89/8.31 % (2938175)Termination phase: Saturation
% 55.89/8.31 % (2938175)Time elapsed: 0.098 s
% 55.89/8.31 % (2938175)Peak memory usage: 13 MB
% 55.89/8.31 % (2938175)Instructions burned: 180 (million)
% 55.89/8.31 % (2938180)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1031682739:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 55.89/8.31 % TRYING [1]
% 55.89/8.31 % TRYING [2]
% 55.89/8.31 % TRYING [3]
% 55.89/8.31 % TRYING [4]
% 55.89/8.31 % TRYING [5]
% 55.89/8.31 % TRYING [6]
% 55.89/8.31 % TRYING [8]
% 55.89/8.31 % TRYING [7]
% 55.89/8.31 % TRYING [9]
% 55.89/8.31 % TRYING [8]
% 55.89/8.31 % (2938170)Instruction limit reached!
% 55.89/8.31 % (2938170)------------------------------
% 55.89/8.31 % (2938170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.89/8.31 % (2938170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.89/8.31 % (2938170)CaDiCaL version: 2.1.3
% 55.89/8.31 % (2938170)Termination reason: Instruction limit
% 55.89/8.31 % (2938170)Termination phase: Finite model building SAT solving
% 55.89/8.31 % (2938170)Time elapsed: 0.369 s
% 55.89/8.31 % (2938170)Peak memory usage: 21 MB
% 55.89/8.31 % (2938170)Instructions burned: 714 (million)
% 55.89/8.31 % (2938183)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=149260205:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 55.89/8.31 % (2938178)Instruction limit reached!
% 55.89/8.31 % (2938178)------------------------------
% 55.89/8.31 % (2938178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.89/8.31 % (2938178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.89/8.31 % (2938178)CaDiCaL version: 2.1.3
% 55.89/8.31 % (2938178)Termination reason: Instruction limit
% 55.89/8.31 % (2938178)Termination phase: Saturation
% 55.89/8.31 % (2938178)Time elapsed: 0.297 s
% 55.89/8.31 % (2938178)Peak memory usage: 14 MB
% 55.89/8.31 % (2938178)Instructions burned: 479 (million)
% 55.89/8.31 % (2938185)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1063091308:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 55.89/8.31 % TRYING [14]
% 55.89/8.31 % (2938180)Instruction limit reached!
% 55.89/8.31 % (2938180)------------------------------
% 55.89/8.31 % (2938180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.89/8.31 % (2938180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.89/8.31 % (2938180)CaDiCaL version: 2.1.3
% 55.89/8.31 % (2938180)Termination reason: Instruction limit
% 55.89/8.31 % (2938180)Termination phase: Finite model building SAT solving
% 55.89/8.31 % (2938180)Time elapsed: 0.329 s
% 55.89/8.31 % (2938180)Peak memory usage: 17 MB
% 55.89/8.31 % (2938180)Instructions burned: 866 (million)
% 55.89/8.31 % (2938173)Instruction limit reached!
% 55.89/8.31 % (2938173)------------------------------
% 55.89/8.31 % (2938173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.89/8.31 % (2938173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.89/8.31 % (2938173)CaDiCaL version: 2.1.3
% 55.89/8.31 % (2938173)Termination reason: Instruction limit
% 55.89/8.31 % (2938173)Termination phase: Saturation
% 55.89/8.31 % (2938173)Time elapsed: 0.465 s
% 55.89/8.31 % (2938173)Peak memory usage: 18 MB
% 55.89/8.31 % (2938173)Instructions burned: 684 (million)
% 55.89/8.31 % (2938187)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=576091806:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 55.89/8.31 % (2938188)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1043232103:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 94.88/13.88 % (2938185)Instruction limit reached!
% 94.88/13.88 % (2938185)------------------------------
% 94.88/13.88 % (2938185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938185)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938185)Termination reason: Instruction limit
% 94.88/13.88 % (2938185)Termination phase: Finite model building SAT solving
% 94.88/13.88 % (2938185)Time elapsed: 0.358 s
% 94.88/13.88 % (2938185)Peak memory usage: 53 MB
% 94.88/13.88 % (2938185)Instructions burned: 891 (million)
% 94.88/13.88 % (2938296)fmb+10_1_sil=64000:random_seed=2074418108:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 94.88/13.88 % TRYING [1]
% 94.88/13.88 % TRYING [2]
% 94.88/13.88 % TRYING [3]
% 94.88/13.88 % TRYING [4]
% 94.88/13.88 % TRYING [5]
% 94.88/13.88 % TRYING [6]
% 94.88/13.88 % TRYING [7]
% 94.88/13.88 % (2938187)Instruction limit reached!
% 94.88/13.88 % (2938187)------------------------------
% 94.88/13.88 % (2938187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938187)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938187)Termination reason: Instruction limit
% 94.88/13.88 % (2938187)Termination phase: Saturation
% 94.88/13.88 % (2938187)Time elapsed: 0.428 s
% 94.88/13.88 % (2938187)Peak memory usage: 20 MB
% 94.88/13.88 % (2938187)Instructions burned: 692 (million)
% 94.88/13.88 % (2938326)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=243973472:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 94.88/13.88 % TRYING [20]
% 94.88/13.88 % (2938188)Instruction limit reached!
% 94.88/13.88 % (2938188)------------------------------
% 94.88/13.88 % (2938188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938188)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938188)Termination reason: Instruction limit
% 94.88/13.88 % (2938188)Termination phase: Saturation
% 94.88/13.88 % (2938188)Time elapsed: 0.461 s
% 94.88/13.88 % (2938188)Peak memory usage: 21 MB
% 94.88/13.88 % (2938188)Instructions burned: 879 (million)
% 94.88/13.88 % (2938343)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3435030850:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 94.88/13.88 % TRYING [8]
% 94.88/13.88 % TRYING [8]
% 94.88/13.88 % TRYING [10]
% 94.88/13.88 % (2938183)Instruction limit reached!
% 94.88/13.88 % (2938183)------------------------------
% 94.88/13.88 % (2938183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938183)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938183)Termination reason: Instruction limit
% 94.88/13.88 % (2938183)Termination phase: Saturation
% 94.88/13.88 % (2938183)Time elapsed: 0.688 s
% 94.88/13.88 % (2938183)Peak memory usage: 24 MB
% 94.88/13.88 % (2938183)Instructions burned: 1180 (million)
% 94.88/13.88 % (2938349)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1640238113:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 94.88/13.88 % TRYING [9]
% 94.88/13.88 % TRYING [9]
% 94.88/13.88 % (2938343)Instruction limit reached!
% 94.88/13.88 % (2938343)------------------------------
% 94.88/13.88 % (2938343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938343)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938343)Termination reason: Instruction limit
% 94.88/13.88 % (2938343)Termination phase: Finite model building SAT solving
% 94.88/13.88 % (2938343)Time elapsed: 0.448 s
% 94.88/13.88 % (2938343)Peak memory usage: 25 MB
% 94.88/13.88 % (2938343)Instructions burned: 920 (million)
% 94.88/13.88 % (2938351)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3115177679:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 94.88/13.88 % TRYING [10]
% 94.88/13.88 % (2938351)Instruction limit reached!
% 94.88/13.88 % (2938351)------------------------------
% 94.88/13.88 % (2938351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938351)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938351)Termination reason: Instruction limit
% 94.88/13.88 % (2938351)Termination phase: Saturation
% 94.88/13.88 % (2938351)Time elapsed: 0.733 s
% 94.88/13.88 % (2938351)Peak memory usage: 25 MB
% 94.88/13.88 % (2938351)Instructions burned: 1473 (million)
% 94.88/13.88 % (2938353)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3125909592:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 94.88/13.88 % TRYING [77]
% 94.88/13.88 % (2938349)Instruction limit reached!
% 94.88/13.88 % (2938349)------------------------------
% 94.88/13.88 % (2938349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938349)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938349)Termination reason: Instruction limit
% 94.88/13.88 % (2938349)Termination phase: Saturation
% 94.88/13.88 % (2938349)Time elapsed: 2.708 s
% 94.88/13.88 % (2938349)Peak memory usage: 34 MB
% 94.88/13.88 % (2938349)Instructions burned: 5133 (million)
% 94.88/13.88 % (2938355)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=649519457:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 94.88/13.88 % TRYING [16]
% 94.88/13.88 % (2938353)Instruction limit reached!
% 94.88/13.88 % (2938353)------------------------------
% 94.88/13.88 % (2938353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938353)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938353)Termination reason: Instruction limit
% 94.88/13.88 % (2938353)Termination phase: Finite model building constraint generation
% 94.88/13.88 % (2938353)Time elapsed: 2.335 s
% 94.88/13.88 % (2938353)Peak memory usage: 509 MB
% 94.88/13.88 % (2938353)Instructions burned: 6325 (million)
% 94.88/13.88 % (2938357)ott-2_1_sil=16000:newcnf=on:random_seed=1323363140:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 94.88/13.88 % (2938355)Instruction limit reached!
% 94.88/13.88 % (2938355)------------------------------
% 94.88/13.88 % (2938355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.88 % (2938355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.88 % (2938355)CaDiCaL version: 2.1.3
% 94.88/13.88 % (2938355)Termination reason: Instruction limit
% 94.88/13.88 % (2938355)Termination phase: Finite model building constraint generation
% 94.88/13.88 % (2938355)Time elapsed: 0.849 s
% 94.88/13.88 % (2938355)Peak memory usage: 161 MB
% 94.88/13.89 % (2938355)Instructions burned: 2176 (million)
% 94.88/13.89 % (2938359)ott+10_1_sil=32000:tgt=ground:random_seed=2325118745:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 94.88/13.89 % TRYING [11]
% 94.88/13.89 % (2938357)Instruction limit reached!
% 94.88/13.89 % (2938357)------------------------------
% 94.88/13.89 % (2938357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938357)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938357)Termination reason: Instruction limit
% 94.88/13.89 % (2938357)Termination phase: Saturation
% 94.88/13.89 % (2938357)Time elapsed: 0.509 s
% 94.88/13.89 % (2938357)Peak memory usage: 19 MB
% 94.88/13.89 % (2938357)Instructions burned: 869 (million)
% 94.88/13.89 % (2938361)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3474083851:i=54282_2946 on theBenchmark for (2946ds/54282Mi)
% 94.88/13.89 % TRYING [1]
% 94.88/13.89 % TRYING [2]
% 94.88/13.89 % TRYING [3]
% 94.88/13.89 % TRYING [4]
% 94.88/13.89 % TRYING [5]
% 94.88/13.89 % TRYING [6]
% 94.88/13.89 % TRYING [7]
% 94.88/13.89 % TRYING [8]
% 94.88/13.89 % TRYING [9]
% 94.88/13.89 % TRYING [11]
% 94.88/13.89 % (2938326)Instruction limit reached!
% 94.88/13.89 % (2938326)------------------------------
% 94.88/13.89 % (2938326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938326)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938326)Termination reason: Instruction limit
% 94.88/13.89 % (2938326)Termination phase: Finite model building SAT solving
% 94.88/13.89 % (2938326)Time elapsed: 4.843 s
% 94.88/13.89 % (2938326)Peak memory usage: 306 MB
% 94.88/13.89 % (2938326)Instructions burned: 9516 (million)
% 94.88/13.89 % (2938363)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2576592921:i=3512:aac=none_2939 on theBenchmark for (2939ds/3512Mi)
% 94.88/13.89 % TRYING [10]
% 94.88/13.89 % (2938363)Instruction limit reached!
% 94.88/13.89 % (2938363)------------------------------
% 94.88/13.89 % (2938363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938363)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938363)Termination reason: Instruction limit
% 94.88/13.89 % (2938363)Termination phase: Saturation
% 94.88/13.89 % (2938363)Time elapsed: 1.839 s
% 94.88/13.89 % (2938363)Peak memory usage: 26 MB
% 94.88/13.89 % (2938363)Instructions burned: 3512 (million)
% 94.88/13.89 % (2938365)dis+21_1_sil=32000:sas=cadical:random_seed=1724512283:i=3773:amm=off_2921 on theBenchmark for (2921ds/3773Mi)
% 94.88/13.89 % (2938359)Instruction limit reached!
% 94.88/13.89 % (2938359)------------------------------
% 94.88/13.89 % (2938359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938359)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938359)Termination reason: Instruction limit
% 94.88/13.89 % (2938359)Termination phase: Saturation
% 94.88/13.89 % (2938359)Time elapsed: 3.039 s
% 94.88/13.89 % (2938359)Peak memory usage: 60 MB
% 94.88/13.89 % (2938359)Instructions burned: 5115 (million)
% 94.88/13.89 % (2938367)ott+11_1_sil=16000:gs=on:random_seed=1775625912:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 94.88/13.89 % (2938367)Instruction limit reached!
% 94.88/13.89 % (2938367)------------------------------
% 94.88/13.89 % (2938367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938367)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938367)Termination reason: Instruction limit
% 94.88/13.89 % (2938367)Termination phase: Saturation
% 94.88/13.89 % (2938367)Time elapsed: 1.268 s
% 94.88/13.89 % (2938367)Peak memory usage: 41 MB
% 94.88/13.89 % (2938367)Instructions burned: 2252 (million)
% 94.88/13.89 % (2938369)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=774608174:fmbsr=1.6:i=67534_2907 on theBenchmark for (2907ds/67534Mi)
% 94.88/13.89 % TRYING [7]
% 94.88/13.89 % TRYING [8]
% 94.88/13.89 % TRYING [9]
% 94.88/13.89 % (2938365)Instruction limit reached!
% 94.88/13.89 % (2938365)------------------------------
% 94.88/13.89 % (2938365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938365)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938365)Termination reason: Instruction limit
% 94.88/13.89 % (2938365)Termination phase: Saturation
% 94.88/13.89 % (2938365)Time elapsed: 2.064 s
% 94.88/13.89 % (2938365)Peak memory usage: 54 MB
% 94.88/13.89 % (2938365)Instructions burned: 3774 (million)
% 94.88/13.89 % (2938371)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3193326249:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2900 on theBenchmark for (2900ds/4591Mi)
% 94.88/13.89 % TRYING [11]
% 94.88/13.89 % TRYING [10]
% 94.88/13.89 % (2938371)Instruction limit reached!
% 94.88/13.89 % (2938371)------------------------------
% 94.88/13.89 % (2938371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938371)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938371)Termination reason: Instruction limit
% 94.88/13.89 % (2938371)Termination phase: Saturation
% 94.88/13.89 % (2938371)Time elapsed: 2.049 s
% 94.88/13.89 % (2938371)Peak memory usage: 42 MB
% 94.88/13.89 % (2938371)Instructions burned: 4593 (million)
% 94.88/13.89 % (2938373)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2379215204:i=29340_2879 on theBenchmark for (2879ds/29340Mi)
% 94.88/13.89 % (2938296)Instruction limit reached!
% 94.88/13.89 % (2938296)------------------------------
% 94.88/13.89 % (2938296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938373) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2938145-2938373"...
% 94.88/13.89 % (2938296)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938296)Termination reason: Instruction limit
% 94.88/13.89 % (2938296)Termination phase: Finite model building SAT solving
% 94.88/13.89 % (2938296)Time elapsed: 12.411 s
% 94.88/13.89 % (2938296)Peak memory usage: 41 MB
% 94.88/13.89 % (2938296)Instructions burned: 22062 (million)
% 94.88/13.89 % (2938373)...printing done.
% 94.88/13.89 % (2938373)Refutation found. Thanks to Tanya!
% 94.88/13.89 % SZS status Theorem for theBenchmark
% 94.88/13.89 % SZS output start Proof for theBenchmark
% See solution above
% 94.88/13.89 % (2938373)------------------------------
% 94.88/13.89 % (2938373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.88/13.89 % (2938373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.88/13.89 % (2938373)CaDiCaL version: 2.1.3
% 94.88/13.89 % (2938373)Termination reason: Refutation
% 94.88/13.89 % (2938373)Time elapsed: 1.346 s
% 94.88/13.89 % (2938373)Peak memory usage: 61 MB
% 94.88/13.89 % (2938373)Instructions burned: 2625 (million)
% 94.88/13.89 % (2938145)Success in time 13.458 s
% 94.88/13.89 % Vampire exiting
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