%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG001-2 : TPTP v9.3.1. Released v1.0.0.
% 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 12:35:39 PM UTC 2026
% Result : Unsatisfiable 105.16s 21.51s
% Output : Refutation 105.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f4,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f5,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f7,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f18,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
fof(f10152,plain,
! [X0,X1] : sum(add(X0,X1),additive_inverse(X1),X0),
inference(unit_resulting_resolution,[],[f9,f5,f3,f7]) ).
fof(f52966,plain,
! [X0,X1] : sum(multiply(X0,X1),multiply(X0,additive_identity),multiply(X0,X1)),
inference(unit_resulting_resolution,[],[f13,f4,f4,f3,f4]) ).
fof(f86917,plain,
~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity),
inference(unit_resulting_resolution,[],[f14,f18,f4,f3,f4]) ).
fof(f88158,plain,
! [X0] : ~ sum(multiply(a,additive_identity),add(multiply(a,additive_identity),X0),X0),
inference(unit_resulting_resolution,[],[f8,f7,f10152,f86917]) ).
fof(f739768,plain,
$false,
inference(unit_resulting_resolution,[],[f8,f52966,f88158,f5,f52966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:55:40 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 15.38/2.66 % (1868380)Will run a generic schedule for satisfiability detection.
% 15.38/2.66 % (1868394)dis+10_1_sil=32000:sp=arity:random_seed=4017979039:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.38/2.66 % (1868392)% WARNING: option uhcvi not known.
% 15.38/2.66 % (1868392)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3173044875:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.38/2.66 % (1868391)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2548541305_2999 on theBenchmark for (2999ds/0Mi)
% 15.38/2.66 % (1868395)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1177489037:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.38/2.66 % (1868393)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1758970915:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.38/2.66 % (1868396)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2123481736:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.38/2.66 % (1868397)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3857407018:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.38/2.66 % TRYING [1]
% 15.38/2.66 % TRYING [2]
% 15.38/2.66 % TRYING [3]
% 15.38/2.66 % TRYING [4]
% 15.38/2.66 % (1868394)Instruction limit reached!
% 15.38/2.66 % (1868394)------------------------------
% 15.38/2.66 % (1868394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.38/2.66 % (1868394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.38/2.66 % (1868394)CaDiCaL version: 2.1.3
% 15.38/2.66 % (1868394)Termination reason: Instruction limit
% 15.38/2.66 % (1868394)Termination phase: Saturation
% 15.38/2.66 % (1868394)Time elapsed: 0.034 s
% 15.38/2.66 % (1868394)Peak memory usage: 11 MB
% 15.38/2.66 % (1868394)Instructions burned: 106 (million)
% 15.38/2.66 % (1868417)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1646460860:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.38/2.66 % TRYING [1]
% 15.38/2.66 % TRYING [2]
% 15.38/2.66 % TRYING [3]
% 15.38/2.66 % TRYING [5]
% 15.38/2.66 % TRYING [4]
% 15.38/2.66 % TRYING [5]
% 15.38/2.66 % (1868395)Instruction limit reached!
% 15.38/2.66 % (1868395)------------------------------
% 15.38/2.66 % (1868395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.38/2.66 % (1868395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.38/2.66 % (1868395)CaDiCaL version: 2.1.3
% 15.38/2.66 % (1868395)Termination reason: Instruction limit
% 15.38/2.66 % (1868395)Termination phase: Saturation
% 15.38/2.66 % (1868395)Time elapsed: 0.060 s
% 15.38/2.66 % (1868395)Peak memory usage: 11 MB
% 15.38/2.66 % (1868395)Instructions burned: 118 (million)
% 15.38/2.66 % (1868435)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=399799992:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.38/2.66 % (1868397)Instruction limit reached!
% 15.38/2.66 % (1868397)------------------------------
% 15.38/2.66 % (1868397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.38/2.66 % (1868397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.38/2.66 % (1868397)CaDiCaL version: 2.1.3
% 15.38/2.66 % (1868397)Termination reason: Instruction limit
% 15.38/2.66 % (1868397)Termination phase: Saturation
% 15.38/2.66 % (1868397)Time elapsed: 0.083 s
% 15.38/2.66 % (1868397)Peak memory usage: 12 MB
% 15.38/2.66 % (1868397)Instructions burned: 159 (million)
% 15.38/2.66 % (1868396)Instruction limit reached!
% 15.38/2.66 % (1868396)------------------------------
% 15.38/2.66 % (1868396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.38/2.66 % (1868396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.38/2.66 % (1868396)CaDiCaL version: 2.1.3
% 15.38/2.66 % (1868396)Termination reason: Instruction limit
% 15.38/2.66 % (1868396)Termination phase: Saturation
% 15.38/2.66 % (1868396)Time elapsed: 0.085 s
% 15.38/2.66 % (1868396)Peak memory usage: 12 MB
% 15.38/2.66 % (1868396)Instructions burned: 132 (million)
% 15.38/2.66 % (1868439)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=1574382524:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.38/2.66 % (1868442)ott-21_1_sil=16000:fs=off:random_seed=3952424879:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.38/2.66 % TRYING [6]
% 15.38/2.66 % TRYING [6]
% 15.38/2.66 % (1868435)Instruction limit reached!
% 15.38/2.66 % (1868435)------------------------------
% 15.38/2.66 % (1868435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.81/7.10 % (1868435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.81/7.10 % (1868435)CaDiCaL version: 2.1.3
% 46.81/7.10 % (1868435)Termination reason: Instruction limit
% 46.81/7.10 % (1868435)Termination phase: Saturation
% 46.81/7.10 % (1868435)Time elapsed: 0.084 s
% 46.81/7.10 % (1868435)Peak memory usage: 12 MB
% 46.81/7.10 % (1868435)Instructions burned: 132 (million)
% 46.81/7.10 % (1868457)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2158235399:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 46.81/7.10 % (1868442)Instruction limit reached!
% 46.81/7.10 % (1868442)------------------------------
% 46.81/7.10 % (1868442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.81/7.10 % (1868442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.81/7.10 % (1868442)CaDiCaL version: 2.1.3
% 46.81/7.10 % (1868442)Termination reason: Instruction limit
% 46.81/7.10 % (1868442)Termination phase: Saturation
% 46.81/7.10 % (1868442)Time elapsed: 0.095 s
% 46.81/7.10 % (1868442)Peak memory usage: 12 MB
% 46.81/7.10 % (1868442)Instructions burned: 181 (million)
% 46.81/7.10 % (1868417)Instruction limit reached!
% 46.81/7.10 % (1868417)------------------------------
% 46.81/7.10 % (1868417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.81/7.10 % (1868417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.81/7.10 % (1868417)CaDiCaL version: 2.1.3
% 46.81/7.10 % (1868417)Termination reason: Instruction limit
% 46.81/7.10 % (1868417)Termination phase: Finite model building SAT solving
% 46.81/7.10 % (1868417)Time elapsed: 0.166 s
% 46.81/7.10 % (1868417)Peak memory usage: 41 MB
% 46.81/7.10 % (1868417)Instructions burned: 716 (million)
% 46.81/7.10 % (1868471)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1635734145:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 46.81/7.10 % (1868470)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1324314406:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 46.81/7.10 % TRYING [1]
% 46.81/7.10 % TRYING [2]
% 46.81/7.10 % TRYING [3]
% 46.81/7.10 % TRYING [4]
% 46.81/7.10 % TRYING [5]
% 46.81/7.10 % TRYING [6]
% 46.81/7.10 % TRYING [7]
% 46.81/7.10 % (1868439)Instruction limit reached!
% 46.81/7.10 % (1868439)------------------------------
% 46.81/7.10 % (1868439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.81/7.10 % (1868439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.81/7.10 % (1868439)CaDiCaL version: 2.1.3
% 46.81/7.10 % (1868439)Termination reason: Instruction limit
% 46.81/7.10 % (1868439)Termination phase: Saturation
% 46.81/7.10 % (1868439)Time elapsed: 0.354 s
% 46.81/7.10 % (1868439)Peak memory usage: 16 MB
% 46.81/7.10 % (1868439)Instructions burned: 684 (million)
% 46.81/7.10 % (1868457)Instruction limit reached!
% 46.81/7.10 % (1868457)------------------------------
% 46.81/7.10 % (1868457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.81/7.10 % (1868457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.81/7.10 % (1868457)CaDiCaL version: 2.1.3
% 46.81/7.10 % (1868457)Termination reason: Instruction limit
% 46.81/7.10 % (1868457)Termination phase: Saturation
% 46.81/7.10 % (1868457)Time elapsed: 0.290 s
% 46.81/7.10 % (1868457)Peak memory usage: 13 MB
% 46.81/7.10 % (1868457)Instructions burned: 477 (million)
% 46.81/7.10 % (1868532)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4232326136:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 46.81/7.10 % (1868533)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=16580931: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)
% 46.81/7.10 % (1868470)Instruction limit reached!
% 46.81/7.10 % (1868470)------------------------------
% 46.81/7.10 % (1868470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.81/7.10 % (1868470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.81/7.10 % (1868470)CaDiCaL version: 2.1.3
% 46.81/7.10 % (1868470)Termination reason: Instruction limit
% 46.81/7.10 % (1868470)Termination phase: Finite model building SAT solving
% 46.81/7.10 % (1868470)Time elapsed: 0.322 s
% 46.81/7.10 % (1868470)Peak memory usage: 28 MB
% 46.81/7.10 % (1868470)Instructions burned: 867 (million)
% 46.81/7.10 % (1868536)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2043869479:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 46.81/7.10 % (1868471)Instruction limit reached!
% 94.12/13.77 % (1868471)------------------------------
% 94.12/13.77 % (1868471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.12/13.77 % (1868471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.12/13.77 % (1868471)CaDiCaL version: 2.1.3
% 94.12/13.77 % (1868471)Termination reason: Instruction limit
% 94.12/13.77 % (1868471)Termination phase: Saturation
% 94.12/13.77 % (1868471)Time elapsed: 0.405 s
% 94.12/13.77 % (1868471)Peak memory usage: 19 MB
% 94.12/13.77 % (1868471)Instructions burned: 1181 (million)
% 94.12/13.77 % (1868538)fmb+10_1_sil=64000:random_seed=2841153013:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 94.12/13.77 % TRYING [1]
% 94.12/13.77 % TRYING [2]
% 94.12/13.77 % TRYING [3]
% 94.12/13.77 % TRYING [4]
% 94.12/13.77 % TRYING [5]
% 94.12/13.77 % TRYING [14]
% 94.12/13.77 % TRYING [6]
% 94.12/13.77 % (1868532)Instruction limit reached!
% 94.12/13.77 % (1868532)------------------------------
% 94.12/13.77 % (1868532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.12/13.77 % (1868532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.12/13.77 % (1868532)CaDiCaL version: 2.1.3
% 94.12/13.77 % (1868532)Termination reason: Instruction limit
% 94.12/13.77 % (1868532)Termination phase: Finite model building constraint generation
% 94.12/13.77 % (1868532)Time elapsed: 0.360 s
% 94.12/13.77 % (1868532)Peak memory usage: 86 MB
% 94.12/13.77 % (1868532)Instructions burned: 892 (million)
% 94.12/13.77 % (1868540)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=389240594:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 94.12/13.77 % TRYING [20]
% 94.12/13.77 % (1868533)Instruction limit reached!
% 94.12/13.77 % (1868533)------------------------------
% 94.12/13.77 % (1868533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.12/13.77 % (1868533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.12/13.77 % (1868533)CaDiCaL version: 2.1.3
% 94.12/13.77 % (1868533)Termination reason: Instruction limit
% 94.12/13.77 % (1868533)Termination phase: Saturation
% 94.12/13.77 % (1868533)Time elapsed: 0.396 s
% 94.12/13.77 % (1868533)Peak memory usage: 16 MB
% 94.12/13.77 % (1868533)Instructions burned: 693 (million)
% 94.12/13.77 % TRYING [7]
% 94.12/13.77 % (1868542)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3094939504:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 94.12/13.77 % TRYING [8]
% 94.12/13.77 % TRYING [8]
% 94.12/13.77 % (1868536)Instruction limit reached!
% 94.12/13.77 % (1868536)------------------------------
% 94.12/13.77 % (1868536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.12/13.77 % (1868536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.12/13.77 % (1868536)CaDiCaL version: 2.1.3
% 94.12/13.77 % (1868536)Termination reason: Instruction limit
% 94.12/13.77 % (1868536)Termination phase: Saturation
% 94.12/13.77 % (1868536)Time elapsed: 0.458 s
% 94.12/13.77 % (1868536)Peak memory usage: 14 MB
% 94.12/13.77 % (1868536)Instructions burned: 880 (million)
% 94.12/13.77 % (1868544)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2986515224:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 94.12/13.77 % (1868542)Instruction limit reached!
% 94.12/13.77 % (1868542)------------------------------
% 94.12/13.77 % (1868542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.12/13.77 % (1868542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.12/13.77 % (1868542)CaDiCaL version: 2.1.3
% 94.12/13.77 % (1868542)Termination reason: Instruction limit
% 94.12/13.77 % (1868542)Termination phase: Finite model building constraint generation
% 94.12/13.77 % (1868542)Time elapsed: 0.353 s
% 94.12/13.77 % (1868542)Peak memory usage: 74 MB
% 94.12/13.77 % (1868542)Instructions burned: 920 (million)
% 94.12/13.77 % TRYING [8]
% 94.12/13.77 % (1868546)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2615349064:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 94.12/13.77 % (1868546)Instruction limit reached!
% 94.12/13.77 % (1868546)------------------------------
% 94.12/13.77 % (1868546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.12/13.77 % (1868546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.12/13.77 % (1868546)CaDiCaL version: 2.1.3
% 94.12/13.77 % (1868546)Termination reason: Instruction limit
% 94.12/13.77 % (1868546)Termination phase: Saturation
% 94.12/13.77 % (1868546)Time elapsed: 0.869 s
% 94.12/13.77 % (1868546)Peak memory usage: 18 MB
% 94.12/13.77 % (1868546)Instructions burned: 1473 (million)
% 94.12/13.77 % (1868548)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3804824834:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 105.16/21.50 % TRYING [77]
% 105.16/21.50 % TRYING [9]
% 105.16/21.50 % TRYING [9]
% 105.16/21.50 % (1868544)Instruction limit reached!
% 105.16/21.50 % (1868544)------------------------------
% 105.16/21.50 % (1868544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.50 % (1868544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.50 % (1868544)CaDiCaL version: 2.1.3
% 105.16/21.50 % (1868544)Termination reason: Instruction limit
% 105.16/21.50 % (1868544)Termination phase: Saturation
% 105.16/21.50 % (1868544)Time elapsed: 2.678 s
% 105.16/21.50 % (1868544)Peak memory usage: 18 MB
% 105.16/21.50 % (1868544)Instructions burned: 5132 (million)
% 105.16/21.50 % (1868550)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2447928181:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 105.16/21.50 % TRYING [16]
% 105.16/21.50 % TRYING [10]
% 105.16/21.50 % (1868540)Instruction limit reached!
% 105.16/21.50 % (1868540)------------------------------
% 105.16/21.50 % (1868540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.50 % (1868540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.50 % (1868540)CaDiCaL version: 2.1.3
% 105.16/21.50 % (1868540)Termination reason: Instruction limit
% 105.16/21.50 % (1868540)Termination phase: Finite model building constraint generation
% 105.16/21.50 % (1868540)Time elapsed: 3.184 s
% 105.16/21.50 % (1868540)Peak memory usage: 532 MB
% 105.16/21.50 % (1868540)Instructions burned: 9517 (million)
% 105.16/21.50 % (1868552)ott-2_1_sil=16000:newcnf=on:random_seed=1862249777:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 105.16/21.50 % (1868548)Instruction limit reached!
% 105.16/21.50 % (1868548)------------------------------
% 105.16/21.50 % (1868548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.50 % (1868548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.50 % (1868548)CaDiCaL version: 2.1.3
% 105.16/21.50 % (1868548)Termination reason: Instruction limit
% 105.16/21.50 % (1868548)Termination phase: Finite model building constraint generation
% 105.16/21.50 % (1868548)Time elapsed: 2.157 s
% 105.16/21.50 % (1868548)Peak memory usage: 395 MB
% 105.16/21.50 % (1868548)Instructions burned: 6324 (million)
% 105.16/21.50 % (1868554)ott+10_1_sil=32000:tgt=ground:random_seed=4111198081:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 105.16/21.50 % (1868550)Instruction limit reached!
% 105.16/21.50 % (1868550)------------------------------
% 105.16/21.50 % (1868550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.50 % (1868550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.50 % (1868550)CaDiCaL version: 2.1.3
% 105.16/21.50 % (1868550)Termination reason: Instruction limit
% 105.16/21.50 % (1868550)Termination phase: Finite model building constraint generation
% 105.16/21.50 % (1868550)Time elapsed: 0.730 s
% 105.16/21.50 % (1868550)Peak memory usage: 130 MB
% 105.16/21.50 % (1868550)Instructions burned: 2174 (million)
% 105.16/21.50 % (1868556)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2129808282:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 105.16/21.50 % TRYING [1]
% 105.16/21.50 % TRYING [2]
% 105.16/21.50 % TRYING [3]
% 105.16/21.50 % TRYING [4]
% 105.16/21.50 % TRYING [5]
% 105.16/21.50 % (1868552)Instruction limit reached!
% 105.16/21.50 % (1868552)------------------------------
% 105.16/21.50 % (1868552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.50 % (1868552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.50 % (1868552)CaDiCaL version: 2.1.3
% 105.16/21.50 % (1868552)Termination reason: Instruction limit
% 105.16/21.50 % (1868552)Termination phase: Saturation
% 105.16/21.50 % (1868552)Time elapsed: 0.476 s
% 105.16/21.50 % (1868552)Peak memory usage: 13 MB
% 105.16/21.50 % (1868552)Instructions burned: 869 (million)
% 105.16/21.50 % (1868558)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2439877233:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 105.16/21.50 % TRYING [6]
% 105.16/21.50 % TRYING [7]
% 105.16/21.50 % TRYING [8]
% 105.16/21.50 % TRYING [10]
% 105.16/21.50 % (1868558)Instruction limit reached!
% 105.16/21.50 % (1868558)------------------------------
% 105.16/21.50 % (1868558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.50 % (1868558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.50 % (1868558)CaDiCaL version: 2.1.3
% 105.16/21.50 % (1868558)Termination reason: Instruction limit
% 105.16/21.50 % (1868558)Termination phase: Saturation
% 105.16/21.50 % (1868558)Time elapsed: 1.989 s
% 105.16/21.50 % (1868558)Peak memory usage: 17 MB
% 105.16/21.51 % (1868558)Instructions burned: 3512 (million)
% 105.16/21.51 % (1868560)dis+21_1_sil=32000:sas=cadical:random_seed=4156501574:i=3773:amm=off_2933 on theBenchmark for (2933ds/3773Mi)
% 105.16/21.51 % TRYING [9]
% 105.16/21.51 % (1868538)Instruction limit reached!
% 105.16/21.51 % (1868538)------------------------------
% 105.16/21.51 % (1868538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868538)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868538)Termination reason: Instruction limit
% 105.16/21.51 % (1868538)Termination phase: Finite model building constraint generation
% 105.16/21.51 % (1868538)Time elapsed: 6.361 s
% 105.16/21.51 % (1868538)Peak memory usage: 275 MB
% 105.16/21.51 % (1868538)Instructions burned: 22067 (million)
% 105.16/21.51 % (1868562)ott+11_1_sil=16000:gs=on:random_seed=2961545430:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2929 on theBenchmark for (2929ds/2251Mi)
% 105.16/21.51 % (1868562)Instruction limit reached!
% 105.16/21.51 % (1868562)------------------------------
% 105.16/21.51 % (1868562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868562)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868562)Termination reason: Instruction limit
% 105.16/21.51 % (1868562)Termination phase: Saturation
% 105.16/21.51 % (1868562)Time elapsed: 0.726 s
% 105.16/21.51 % (1868562)Peak memory usage: 21 MB
% 105.16/21.51 % (1868562)Instructions burned: 2253 (million)
% 105.16/21.51 % (1868564)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=899231529:fmbsr=1.6:i=67534_2922 on theBenchmark for (2922ds/67534Mi)
% 105.16/21.51 % TRYING [7]
% 105.16/21.51 % (1868554)Instruction limit reached!
% 105.16/21.51 % (1868554)------------------------------
% 105.16/21.51 % (1868554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868554)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868554)Termination reason: Instruction limit
% 105.16/21.51 % (1868554)Termination phase: Saturation
% 105.16/21.51 % (1868554)Time elapsed: 3.399 s
% 105.16/21.51 % (1868554)Peak memory usage: 28 MB
% 105.16/21.51 % (1868554)Instructions burned: 5115 (million)
% 105.16/21.51 % (1868566)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1092146007:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2921 on theBenchmark for (2921ds/4591Mi)
% 105.16/21.51 % TRYING [8]
% 105.16/21.51 % (1868560)Instruction limit reached!
% 105.16/21.51 % (1868560)------------------------------
% 105.16/21.51 % (1868560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868560)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868560)Termination reason: Instruction limit
% 105.16/21.51 % (1868560)Termination phase: Saturation
% 105.16/21.51 % (1868560)Time elapsed: 2.256 s
% 105.16/21.51 % (1868560)Peak memory usage: 25 MB
% 105.16/21.51 % (1868560)Instructions burned: 3774 (million)
% 105.16/21.51 % (1868568)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1381834670:i=29340_2910 on theBenchmark for (2910ds/29340Mi)
% 105.16/21.51 % TRYING [9]
% 105.16/21.51 % TRYING [11]
% 105.16/21.51 % (1868566)Instruction limit reached!
% 105.16/21.51 % (1868566)------------------------------
% 105.16/21.51 % (1868566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868566)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868566)Termination reason: Instruction limit
% 105.16/21.51 % (1868566)Termination phase: Saturation
% 105.16/21.51 % (1868566)Time elapsed: 2.559 s
% 105.16/21.51 % (1868566)Peak memory usage: 15 MB
% 105.16/21.51 % (1868566)Instructions burned: 4592 (million)
% 105.16/21.51 % (1868570)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=693200511:i=5211_2895 on theBenchmark for (2895ds/5211Mi)
% 105.16/21.51 % TRYING [10]
% 105.16/21.51 % TRYING [10]
% 105.16/21.51 % (1868570)Instruction limit reached!
% 105.16/21.51 % (1868570)------------------------------
% 105.16/21.51 % (1868570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868570)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868570)Termination reason: Instruction limit
% 105.16/21.51 % (1868570)Termination phase: Saturation
% 105.16/21.51 % (1868570)Time elapsed: 2.883 s
% 105.16/21.51 % (1868570)Peak memory usage: 18 MB
% 105.16/21.51 % (1868570)Instructions burned: 5213 (million)
% 105.16/21.51 % (1868572)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1093969334:i=5497:nm=2_2866 on theBenchmark for (2866ds/5497Mi)
% 105.16/21.51 % TRYING [17]
% 105.16/21.51 % TRYING [11]
% 105.16/21.51 % TRYING [11]
% 105.16/21.51 % (1868572)Instruction limit reached!
% 105.16/21.51 % (1868572)------------------------------
% 105.16/21.51 % (1868572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868572)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868572)Termination reason: Instruction limit
% 105.16/21.51 % (1868572)Termination phase: Finite model building constraint generation
% 105.16/21.51 % (1868572)Time elapsed: 1.813 s
% 105.16/21.51 % (1868572)Peak memory usage: 312 MB
% 105.16/21.51 % (1868572)Instructions burned: 5500 (million)
% 105.16/21.51 % (1868820)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2542176056:fmbsr=2:i=46332_2847 on theBenchmark for (2847ds/46332Mi)
% 105.16/21.51 % TRYING [15]
% 105.16/21.51 % TRYING [12]
% 105.16/21.51 % TRYING [12]
% 105.16/21.51 % (1868568) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1868380-1868568"...
% 105.16/21.51 % (1868568)...printing done.
% 105.16/21.51 % (1868568)Refutation found. Thanks to Tanya!
% 105.16/21.51 % SZS status Unsatisfiable for theBenchmark
% 105.16/21.51 % SZS output start Proof for theBenchmark
% See solution above
% 105.16/21.51 % (1868568)------------------------------
% 105.16/21.51 % (1868568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.16/21.51 % (1868568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.16/21.51 % (1868568)CaDiCaL version: 2.1.3
% 105.16/21.51 % (1868568)Termination reason: Refutation
% 105.16/21.51 % (1868568)Time elapsed: 11.912 s
% 105.16/21.51 % (1868568)Peak memory usage: 241 MB
% 105.16/21.51 % (1868568)Instructions burned: 20079 (million)
% 105.16/21.51 % (1868380)Success in time 21.074 s
% 105.16/21.51 % Vampire exiting
%------------------------------------------------------------------------------