%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL673+1.020 : TPTP v9.3.1. Released v4.0.0.
% 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 11:59:59 AM UTC 2026
% Result : CounterSatisfiable 20.16s 3.48s
% Output : FiniteModel 20.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_r1,type,
r1: ( $i * $i ) > $o ).
tff(predicate_r1,axiom,
( r1('fmb_$i_1','fmb_$i_1')
& r1('fmb_$i_1','fmb_$i_2')
& ~ r1('fmb_$i_2','fmb_$i_1')
& r1('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_p2,type,
p2: $i > $o ).
tff(predicate_p2,axiom,
( ~ p2('fmb_$i_1')
& p2('fmb_$i_2') ) ).
tff(declare_p1,type,
p1: $i > $o ).
tff(predicate_p1,axiom,
( ~ p1('fmb_$i_1')
& p1('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL673+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.46 % Computer : n018.cluster.edu
% 0.16/0.46 % Model : x86_64 x86_64
% 0.16/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.46 % Memory : 8046.5625MB
% 0.16/0.46 % OS : Linux 6.8.0-71-generic
% 0.16/0.46 % CPULimit : 300
% 0.16/0.46 % WCLimit : 300
% 0.16/0.46 % DateTime : Sun Sep 27 16:32:39 UTC 2026
% 0.16/0.46 % CPUTime :
% 0.16/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.52 Running first-order model finding
% 0.21/0.52 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
% 20.16/3.48 % (2563816)Will run a generic schedule for satisfiability detection.
% 20.16/3.48 % (2563822)% WARNING: option uhcvi not known.
% 20.16/3.48 % (2563822)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1156517689:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.16/3.48 % (2563821)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3065573642_2999 on theBenchmark for (2999ds/0Mi)
% 20.16/3.48 % (2563825)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=542862853:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.16/3.48 % (2563826)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2204065585:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.16/3.48 % (2563824)dis+10_1_sil=32000:sp=arity:random_seed=833997959:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.16/3.48 % (2563823)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=468635812:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.16/3.48 % (2563827)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3247956010:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.16/3.48 % (2563824)Instruction limit reached!
% 20.16/3.48 % (2563824)------------------------------
% 20.16/3.48 % (2563824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563824)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563824)Termination reason: Instruction limit
% 20.16/3.48 % (2563824)Termination phase: Preprocessing 3
% 20.16/3.48 % (2563824)Time elapsed: 0.076 s
% 20.16/3.48 % (2563824)Peak memory usage: 15 MB
% 20.16/3.48 % (2563824)Instructions burned: 103 (million)
% 20.16/3.48 % (2563826)Instruction limit reached!
% 20.16/3.48 % (2563826)------------------------------
% 20.16/3.48 % (2563826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563826)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563826)Termination reason: Instruction limit
% 20.16/3.48 % (2563826)Termination phase: Property scanning
% 20.16/3.48 % (2563826)Time elapsed: 0.111 s
% 20.16/3.48 % (2563826)Peak memory usage: 17 MB
% 20.16/3.48 % (2563826)Instructions burned: 135 (million)
% 20.16/3.48 % (2563835)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3327594768:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 20.16/3.48 % (2563825)Instruction limit reached!
% 20.16/3.48 % (2563825)------------------------------
% 20.16/3.48 % (2563825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563825)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563825)Termination reason: Instruction limit
% 20.16/3.48 % (2563825)Termination phase: NewCNF
% 20.16/3.48 % (2563825)Time elapsed: 0.123 s
% 20.16/3.48 % (2563825)Peak memory usage: 17 MB
% 20.16/3.48 % (2563825)Instructions burned: 117 (million)
% 20.16/3.48 % (2563827)Instruction limit reached!
% 20.16/3.48 % (2563827)------------------------------
% 20.16/3.48 % (2563827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563827)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563827)Termination reason: Instruction limit
% 20.16/3.48 % (2563827)Termination phase: shuffling
% 20.16/3.48 % (2563827)Time elapsed: 0.128 s
% 20.16/3.48 % (2563827)Peak memory usage: 17 MB
% 20.16/3.48 % (2563827)Instructions burned: 160 (million)
% 20.16/3.48 % (2563837)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2756876265:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.16/3.48 % (2563838)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=673118408:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 20.16/3.48 % (2563839)ott-21_1_sil=16000:fs=off:random_seed=2457204340:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 20.16/3.48 % (2563837)Instruction limit reached!
% 20.16/3.48 % (2563837)------------------------------
% 20.16/3.48 % (2563837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563837)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563837)Termination reason: Instruction limit
% 20.16/3.48 % (2563837)Termination phase: Property scanning
% 20.16/3.48 % (2563837)Time elapsed: 0.106 s
% 20.16/3.48 % (2563837)Peak memory usage: 17 MB
% 20.16/3.48 % (2563837)Instructions burned: 131 (million)
% 20.16/3.48 % (2563839)Instruction limit reached!
% 20.16/3.48 % (2563839)------------------------------
% 20.16/3.48 % (2563839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563839)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563839)Termination reason: Instruction limit
% 20.16/3.48 % (2563839)Termination phase: Saturation
% 20.16/3.48 % (2563839)Time elapsed: 0.113 s
% 20.16/3.48 % (2563839)Peak memory usage: 18 MB
% 20.16/3.48 % (2563839)Instructions burned: 180 (million)
% 20.16/3.48 % (2563843)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2401631147:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 20.16/3.48 % (2563844)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1657088398:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 20.16/3.48 % (2563835)Instruction limit reached!
% 20.16/3.48 % (2563835)------------------------------
% 20.16/3.48 % (2563835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563835)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563835)Termination reason: Instruction limit
% 20.16/3.48 % (2563835)Termination phase: Finite model building preprocessing
% 20.16/3.48 % (2563835)Time elapsed: 0.554 s
% 20.16/3.48 % (2563835)Peak memory usage: 23 MB
% 20.16/3.48 % (2563835)Instructions burned: 714 (million)
% 20.16/3.48 % (2563843)Instruction limit reached!
% 20.16/3.48 % (2563843)------------------------------
% 20.16/3.48 % (2563843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563843)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563843)Termination reason: Instruction limit
% 20.16/3.48 % (2563843)Termination phase: Saturation
% 20.16/3.48 % (2563843)Time elapsed: 0.372 s
% 20.16/3.48 % (2563843)Peak memory usage: 23 MB
% 20.16/3.48 % (2563843)Instructions burned: 477 (million)
% 20.16/3.48 % (2563847)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2669626282:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 20.16/3.48 % (2563848)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=86079046:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 20.16/3.48 % (2563838)Instruction limit reached!
% 20.16/3.48 % (2563838)------------------------------
% 20.16/3.48 % (2563838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563838)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563838)Termination reason: Instruction limit
% 20.16/3.48 % (2563838)Termination phase: Saturation
% 20.16/3.48 % (2563838)Time elapsed: 0.595 s
% 20.16/3.48 % (2563838)Peak memory usage: 29 MB
% 20.16/3.48 % (2563838)Instructions burned: 684 (million)
% 20.16/3.48 % (2563851)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=582798037:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 20.16/3.48 % (2563844)Instruction limit reached!
% 20.16/3.48 % (2563844)------------------------------
% 20.16/3.48 % (2563844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563844)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563844)Termination reason: Instruction limit
% 20.16/3.48 % (2563844)Termination phase: Finite model building preprocessing
% 20.16/3.48 % (2563844)Time elapsed: 0.683 s
% 20.16/3.48 % (2563844)Peak memory usage: 25 MB
% 20.16/3.48 % (2563844)Instructions burned: 866 (million)
% 20.16/3.48 % (2563853)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3818891497:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 20.16/3.48 % (2563851)Instruction limit reached!
% 20.16/3.48 % (2563851)------------------------------
% 20.16/3.48 % (2563851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563851)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563851)Termination reason: Instruction limit
% 20.16/3.48 % (2563851)Termination phase: Saturation
% 20.16/3.48 % (2563851)Time elapsed: 0.589 s
% 20.16/3.48 % (2563851)Peak memory usage: 30 MB
% 20.16/3.48 % (2563851)Instructions burned: 693 (million)
% 20.16/3.48 % (2563848)Instruction limit reached!
% 20.16/3.48 % (2563848)------------------------------
% 20.16/3.48 % (2563848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563848)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563848)Termination reason: Instruction limit
% 20.16/3.48 % (2563848)Termination phase: Finite model building preprocessing
% 20.16/3.48 % (2563848)Time elapsed: 0.723 s
% 20.16/3.48 % (2563848)Peak memory usage: 25 MB
% 20.16/3.48 % (2563848)Instructions burned: 889 (million)
% 20.16/3.48 % (2563847)Instruction limit reached!
% 20.16/3.48 % (2563847)------------------------------
% 20.16/3.48 % (2563847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563847)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563847)Termination reason: Instruction limit
% 20.16/3.48 % (2563847)Termination phase: Saturation
% 20.16/3.48 % (2563847)Time elapsed: 0.745 s
% 20.16/3.48 % (2563847)Peak memory usage: 25 MB
% 20.16/3.48 % (2563847)Instructions burned: 1180 (million)
% 20.16/3.48 % (2563855)fmb+10_1_sil=64000:random_seed=3695415477:i=22061:nm=2:gsp=on_2985 on theBenchmark for (2985ds/22061Mi)
% 20.16/3.48 % (2563856)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=965150358:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 20.16/3.48 % (2563858)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1830297206:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 20.16/3.48 % (2563853)Instruction limit reached!
% 20.16/3.48 % (2563853)------------------------------
% 20.16/3.48 % (2563853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563853)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563853)Termination reason: Instruction limit
% 20.16/3.48 % (2563853)Termination phase: Saturation
% 20.16/3.48 % (2563853)Time elapsed: 0.693 s
% 20.16/3.48 % (2563853)Peak memory usage: 40 MB
% 20.16/3.48 % (2563853)Instructions burned: 880 (million)
% 20.16/3.48 % (2563861)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2805869925:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 20.16/3.48 % (2563858)Instruction limit reached!
% 20.16/3.48 % (2563858)------------------------------
% 20.16/3.48 % (2563858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563858)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563858)Termination reason: Instruction limit
% 20.16/3.48 % (2563858)Termination phase: Finite model building preprocessing
% 20.16/3.48 % (2563858)Time elapsed: 0.728 s
% 20.16/3.48 % (2563858)Peak memory usage: 25 MB
% 20.16/3.48 % (2563858)Instructions burned: 921 (million)
% 20.16/3.48 % (2563863)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=633307005:i=1472:ins=7:fdi=8:gsp=on_2977 on theBenchmark for (2977ds/1472Mi)
% 20.16/3.48 % TRYING [1]
% 20.16/3.48 % TRYING [2]
% 20.16/3.48 % TRYING [20]
% 20.16/3.48 % Finite Model Found!
% 20.16/3.48 % SZS status CounterSatisfiable for theBenchmark
% 20.16/3.48 % (2563855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2563816-2563855"...
% 20.16/3.48 % (2563855)...printing done.
% 20.16/3.48 % SZS output start FiniteModel for theBenchmark
% See solution above
% 20.16/3.48 % (2563855)------------------------------
% 20.16/3.48 % (2563855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.48 % (2563855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.48 % (2563855)CaDiCaL version: 2.1.3
% 20.16/3.48 % (2563855)Termination reason: Satisfiable
% 20.16/3.48 % (2563855)Time elapsed: 1.387 s
% 20.16/3.48 % (2563855)Peak memory usage: 39 MB
% 20.16/3.48 % (2563855)Instructions burned: 1755 (million)
% 20.16/3.48 % (2563816)Success in time 2.949 s
% 20.16/3.48 % Vampire exiting
%------------------------------------------------------------------------------