%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM017-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:11:35 PM UTC 2026
% Result : Unsatisfiable 0.16s 3.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 14 unt; 2 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 120 ( 63 ~; 55 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ divides(X2,X0)
| ~ equalish(X0,X1)
| divides(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_substitution1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ divides(X0,X2)
| ~ equalish(X0,X1)
| divides(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_substitution2) ).
fof(f10,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X4,X1)
| ~ product(X0,X1,X2)
| ~ product(X0,X3,X5)
| product(X5,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_associativity1) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_commutativity) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,second_divided_by_1st(X0,X1),X1)
| ~ divides(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_implies_product) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| divides(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_divisible_by_operand) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ product(X2,X2,X1)
| ~ divides(X0,X1)
| ~ prime(X0)
| divides(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',primes_lemma1) ).
fof(f20,axiom,
prime(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_prime) ).
fof(f24,negated_conjecture,
! [X0] :
( ~ divides(X0,c)
| ~ divides(X0,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_no_common_divisor) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X2,X1,X3)
| ~ divides(X0,X1)
| ~ product(X2,X0,X4)
| product(X4,second_divided_by_1st(X0,X1),X3) ),
inference(resolution,[],[f17,f11]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
inference(resolution,[],[f10,f11]) ).
fof(f61,plain,
! [X0,X1] : divides(X0,multiply(X0,X1)),
inference(resolution,[],[f10,f18]) ).
fof(f62,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f10,f13]) ).
fof(f63,plain,
! [X0,X1] :
( ~ divides(X0,multiply(X1,X1))
| ~ prime(X0)
| divides(X0,X1) ),
inference(resolution,[],[f10,f19]) ).
fof(f66,plain,
! [X0,X1] : divides(X0,multiply(X1,X0)),
inference(resolution,[],[f62,f18]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| divides(X0,X2) ),
inference(resolution,[],[f7,f61]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,multiply(X0,X2))
| equalish(X1,X2) ),
inference(resolution,[],[f14,f10]) ).
fof(f101,plain,
! [X0] :
( divides(X0,X0)
| ~ prime(X0) ),
inference(resolution,[],[f63,f61]) ).
fof(f104,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| ~ prime(X0)
| divides(X1,X0) ),
inference(resolution,[],[f101,f8]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| divides(X1,X2) ),
inference(resolution,[],[f66,f7]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( product(X3,second_divided_by_1st(X0,X1),multiply(X1,X2))
| ~ product(X2,X0,X3)
| ~ divides(X0,X1) ),
inference(resolution,[],[f55,f62]) ).
fof(f262,plain,
! [X0,X1] :
( equalish(second_divided_by_1st(X0,multiply(X0,X1)),X1)
| ~ divides(X0,multiply(X0,X1)) ),
inference(resolution,[],[f91,f17]) ).
fof(f267,plain,
! [X0,X1] : equalish(second_divided_by_1st(X0,multiply(X0,X1)),X1),
inference(forward_subsumption_resolution,[],[f262,f61]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,multiply(X0,multiply(X1,X3)))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f59,f10]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X2,multiply(X1,X2)) ),
inference(resolution,[],[f271,f91]) ).
fof(f291,plain,
! [X0,X1] :
( equalish(X0,multiply(second_divided_by_1st(X1,X1),X0))
| ~ divides(X1,X1) ),
inference(resolution,[],[f276,f17]) ).
fof(f1825,plain,
! [X0,X1] :
( equalish(multiply(second_divided_by_1st(X0,X0),X1),X1)
| ~ divides(X0,X0) ),
inference(resolution,[],[f2,f291]) ).
fof(f1827,plain,
! [X0,X1] : equalish(X0,second_divided_by_1st(X1,multiply(X1,X0))),
inference(resolution,[],[f2,f267]) ).
fof(f3199,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ divides(X1,X3)
| divides(X2,multiply(X3,X0)) ),
inference(resolution,[],[f185,f18]) ).
fof(f3463,plain,
! [X0,X1] :
( divides(second_divided_by_1st(X1,multiply(X1,X0)),X0)
| ~ prime(X0) ),
inference(resolution,[],[f1827,f104]) ).
fof(f7083,plain,
! [X2,X0,X1] :
( ~ divides(second_divided_by_1st(X0,X1),X2)
| divides(X1,multiply(X2,X0))
| ~ divides(X0,X1) ),
inference(resolution,[],[f3199,f17]) ).
fof(f7123,plain,
! [X0,X1] :
( divides(multiply(X0,X1),multiply(X1,X0))
| ~ divides(X0,multiply(X0,X1))
| ~ prime(X1) ),
inference(resolution,[],[f7083,f3463]) ).
fof(f7147,plain,
! [X0,X1] :
( divides(multiply(X0,X1),multiply(X1,X0))
| ~ prime(X1) ),
inference(forward_subsumption_resolution,[],[f7123,f61]) ).
fof(f7577,plain,
! [X0,X1] :
( divides(second_divided_by_1st(X0,X0),X1)
| ~ divides(X0,X0) ),
inference(resolution,[],[f1825,f71]) ).
fof(f7578,plain,
! [X0,X1] :
( ~ divides(X0,X0)
| divides(X1,X1) ),
inference(resolution,[],[f1825,f134]) ).
fof(f7594,definition,
( spl0_112
<=> ! [X1] : divides(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f7595,plain,
( ! [X1] : divides(X1,X1)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f7594]) ).
fof(f7597,definition,
( spl0_113
<=> ! [X0] : ~ divides(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f7598,plain,
( ! [X0] : ~ divides(X0,X0)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f7597]) ).
fof(f7599,plain,
( spl0_112
| spl0_113 ),
inference(avatar_split_clause,[],[f7578,f7597,f7594]) ).
fof(f8247,plain,
( ! [X0] : ~ prime(X0)
| ~ spl0_113 ),
inference(resolution,[],[f7598,f7147]) ).
fof(f8261,plain,
( $false
| ~ spl0_113 ),
inference(resolution,[],[f8247,f20]) ).
fof(f8262,plain,
~ spl0_113,
inference(avatar_contradiction_clause,[],[f8261]) ).
fof(f8589,plain,
! [X0] :
( ~ divides(X0,X0)
| ~ divides(second_divided_by_1st(X0,X0),b) ),
inference(resolution,[],[f7577,f24]) ).
fof(f8609,plain,
! [X0] : ~ divides(X0,X0),
inference(forward_subsumption_resolution,[],[f8589,f7577]) ).
fof(f8638,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f8609,f7595]) ).
fof(f8639,plain,
~ spl0_112,
inference(avatar_contradiction_clause,[],[f8638]) ).
cnf(s116,plain,
( spl0_112
| spl0_113 ),
inference(sat_conversion,[],[f7599]) ).
cnf(s198,plain,
~ spl0_113,
inference(sat_conversion,[],[f8262]) ).
cnf(s204,plain,
~ spl0_112,
inference(sat_conversion,[],[f8639]) ).
cnf(s208,plain,
$false,
inference(rat,[],[s116,s198,s204]) ).
fof(f8661,plain,
$false,
inference(avatar_sat_refutation,[],[s208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 18:42:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.26/2.48 % (3808254)Input is clausal, will run a generic CNF schedule.
% 11.26/2.48 % (3808260)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2875771674:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.26/2.48 % (3808262)lrs+10_1_sil=8000:sp=occurrence:random_seed=877243500:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.26/2.48 % (3808259)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=679750381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.26/2.48 % (3808263)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2223538167:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.26/2.48 % (3808265)dis-21_1_sil=8000:lcm=predicate:random_seed=1759506683:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.26/2.48 % (3808264)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2103059547:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.26/2.48 % (3808261)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4080973313:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.26/2.48 % (3808263)Instruction limit reached!
% 11.26/2.48 % (3808263)------------------------------
% 11.26/2.48 % (3808263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.48 % (3808263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.48 % (3808263)CaDiCaL version: 2.1.3
% 11.26/2.48 % (3808263)Termination reason: Instruction limit
% 11.26/2.48 % (3808263)Termination phase: Saturation
% 11.26/2.48 % (3808263)Time elapsed: 0.066 s
% 11.26/2.48 % (3808263)Peak memory usage: 88 MB
% 11.26/2.48 % (3808263)Instructions burned: 115 (million)
% 11.26/2.48 % (3808262)Instruction limit reached!
% 11.26/2.48 % (3808262)------------------------------
% 11.26/2.48 % (3808262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.48 % (3808262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.48 % (3808262)CaDiCaL version: 2.1.3
% 11.26/2.48 % (3808262)Termination reason: Instruction limit
% 11.26/2.48 % (3808262)Termination phase: Saturation
% 11.26/2.48 % (3808262)Time elapsed: 0.068 s
% 11.26/2.48 % (3808262)Peak memory usage: 88 MB
% 11.26/2.48 % (3808262)Instructions burned: 108 (million)
% 11.26/2.48 % (3808265)Instruction limit reached!
% 11.26/2.48 % (3808265)------------------------------
% 11.26/2.48 % (3808265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.48 % (3808265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.48 % (3808265)CaDiCaL version: 2.1.3
% 11.26/2.48 % (3808265)Termination reason: Instruction limit
% 11.26/2.48 % (3808265)Termination phase: Saturation
% 11.26/2.48 % (3808265)Time elapsed: 0.069 s
% 11.26/2.48 % (3808265)Peak memory usage: 88 MB
% 11.26/2.48 % (3808265)Instructions burned: 118 (million)
% 11.26/2.48 % (3808264)Instruction limit reached!
% 11.26/2.48 % (3808264)------------------------------
% 11.26/2.48 % (3808264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.48 % (3808264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.48 % (3808264)CaDiCaL version: 2.1.3
% 11.26/2.48 % (3808264)Termination reason: Instruction limit
% 11.26/2.48 % (3808264)Termination phase: Saturation
% 11.26/2.48 % (3808264)Time elapsed: 0.121 s
% 11.26/2.48 % (3808264)Peak memory usage: 89 MB
% 11.26/2.48 % (3808264)Instructions burned: 181 (million)
% 11.26/2.48 % (3808275)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1587843982:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.26/2.48 % (3808273)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2271381579:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.26/2.48 % (3808274)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2684155863:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.26/2.48 % (3808276)lrs+10_64_to=lpo:sil=8000:random_seed=873486555:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.26/2.48 % (3808273)Instruction limit reached!
% 8.79/3.21 % (3808273)------------------------------
% 8.79/3.21 % (3808273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808273)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808273)Termination reason: Instruction limit
% 8.79/3.21 % (3808273)Termination phase: Saturation
% 8.79/3.21 % (3808273)Time elapsed: 0.089 s
% 8.79/3.21 % (3808273)Peak memory usage: 89 MB
% 8.79/3.21 % (3808273)Instructions burned: 144 (million)
% 8.79/3.21 % (3808274)Instruction limit reached!
% 8.79/3.21 % (3808274)------------------------------
% 8.79/3.21 % (3808274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808274)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808274)Termination reason: Instruction limit
% 8.79/3.21 % (3808274)Termination phase: Saturation
% 8.79/3.21 % (3808274)Time elapsed: 0.101 s
% 8.79/3.21 % (3808274)Peak memory usage: 89 MB
% 8.79/3.21 % (3808274)Instructions burned: 190 (million)
% 8.79/3.21 % (3808275)Instruction limit reached!
% 8.79/3.21 % (3808275)------------------------------
% 8.79/3.21 % (3808275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808275)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808275)Termination reason: Instruction limit
% 8.79/3.21 % (3808275)Termination phase: Saturation
% 8.79/3.21 % (3808275)Time elapsed: 0.131 s
% 8.79/3.21 % (3808275)Peak memory usage: 89 MB
% 8.79/3.21 % (3808275)Instructions burned: 220 (million)
% 8.79/3.21 % (3808276)Instruction limit reached!
% 8.79/3.21 % (3808276)------------------------------
% 8.79/3.21 % (3808276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808276)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808276)Termination reason: Instruction limit
% 8.79/3.21 % (3808276)Termination phase: Saturation
% 8.79/3.21 % (3808276)Time elapsed: 0.077 s
% 8.79/3.21 % (3808276)Peak memory usage: 89 MB
% 8.79/3.21 % (3808276)Instructions burned: 126 (million)
% 8.79/3.21 % (3808281)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=731172039:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.79/3.21 % (3808282)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4112001469:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.79/3.21 % (3808283)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3235471480:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.79/3.21 % (3808284)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1364452693:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.79/3.21 % (3808282)Instruction limit reached!
% 8.79/3.21 % (3808282)------------------------------
% 8.79/3.21 % (3808282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808282)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808282)Termination reason: Instruction limit
% 8.79/3.21 % (3808282)Termination phase: Saturation
% 8.79/3.21 % (3808282)Time elapsed: 0.101 s
% 8.79/3.21 % (3808282)Peak memory usage: 89 MB
% 8.79/3.21 % (3808282)Instructions burned: 158 (million)
% 8.79/3.21 % (3808284)Instruction limit reached!
% 8.79/3.21 % (3808284)------------------------------
% 8.79/3.21 % (3808284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808284)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808284)Termination reason: Instruction limit
% 8.79/3.21 % (3808284)Termination phase: Saturation
% 8.79/3.21 % (3808284)Time elapsed: 0.057 s
% 8.79/3.21 % (3808284)Peak memory usage: 88 MB
% 8.79/3.21 % (3808284)Instructions burned: 107 (million)
% 8.79/3.21 % (3808281)Instruction limit reached!
% 8.79/3.21 % (3808281)------------------------------
% 8.79/3.21 % (3808281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808281)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808281)Termination reason: Instruction limit
% 8.79/3.21 % (3808281)Termination phase: Saturation
% 8.79/3.21 % (3808281)Time elapsed: 0.127 s
% 8.79/3.21 % (3808281)Peak memory usage: 89 MB
% 8.79/3.21 % (3808281)Instructions burned: 195 (million)
% 8.79/3.21 % (3808290)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3098666119:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.79/3.21 % (3808291)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2716471809:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.79/3.21 % (3808289)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3058574673:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.79/3.21 % (3808289)Instruction limit reached!
% 8.79/3.21 % (3808289)------------------------------
% 8.79/3.21 % (3808289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808289)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808289)Termination reason: Instruction limit
% 8.79/3.21 % (3808289)Termination phase: Saturation
% 8.79/3.21 % (3808289)Time elapsed: 0.066 s
% 8.79/3.21 % (3808289)Peak memory usage: 88 MB
% 8.79/3.21 % (3808289)Instructions burned: 107 (million)
% 8.79/3.21 % (3808290)Instruction limit reached!
% 8.79/3.21 % (3808290)------------------------------
% 8.79/3.21 % (3808290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808290)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808290)Termination reason: Instruction limit
% 8.79/3.21 % (3808290)Termination phase: Saturation
% 8.79/3.21 % (3808290)Time elapsed: 0.146 s
% 8.79/3.21 % (3808290)Peak memory usage: 89 MB
% 8.79/3.21 % (3808290)Instructions burned: 243 (million)
% 8.79/3.21 % (3808295)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2471364307:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.79/3.21 % (3808295)Instruction limit reached!
% 8.79/3.21 % (3808295)------------------------------
% 8.79/3.21 % (3808295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808295)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808295)Termination reason: Instruction limit
% 8.79/3.21 % (3808295)Termination phase: Saturation
% 8.79/3.21 % (3808295)Time elapsed: 0.076 s
% 8.79/3.21 % (3808295)Peak memory usage: 88 MB
% 8.79/3.21 % (3808295)Instructions burned: 136 (million)
% 8.79/3.21 % (3808296)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1152710978:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.79/3.21 % (3808299)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=70926525:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 8.79/3.21 % (3808299)Instruction limit reached!
% 8.79/3.21 % (3808299)------------------------------
% 8.79/3.21 % (3808299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808299)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808299)Termination reason: Instruction limit
% 8.79/3.21 % (3808299)Termination phase: Saturation
% 8.79/3.21 % (3808299)Time elapsed: 0.121 s
% 8.79/3.21 % (3808299)Peak memory usage: 91 MB
% 8.79/3.21 % (3808299)Instructions burned: 192 (million)
% 8.79/3.21 % (3808296)Instruction limit reached!
% 8.79/3.21 % (3808296)------------------------------
% 8.79/3.21 % (3808296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/3.21 % (3808296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/3.21 % (3808296)CaDiCaL version: 2.1.3
% 8.79/3.21 % (3808296)Termination reason: Instruction limit
% 8.79/3.21 % (3808296)Termination phase: Saturation
% 8.79/3.21 % (3808296)Time elapsed: 0.280 s
% 8.79/3.21 % (3808296)Peak memory usage: 94 MB
% 8.79/3.21 % (3808296)Instructions burned: 501 (million)
% 8.79/3.21 % (3808302)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2743425071:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 8.79/3.21 % (3808301)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4217764162:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 0.16/3.40 % (3808302)Instruction limit reached!
% 0.16/3.40 % (3808302)------------------------------
% 0.16/3.40 % (3808302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.40 % (3808302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.40 % (3808302)CaDiCaL version: 2.1.3
% 0.16/3.40 % (3808302)Termination reason: Instruction limit
% 0.16/3.40 % (3808302)Termination phase: Saturation
% 0.16/3.40 % (3808302)Time elapsed: 0.087 s
% 0.16/3.40 % (3808302)Peak memory usage: 88 MB
% 0.16/3.40 % (3808302)Instructions burned: 157 (million)
% 0.16/3.40 % (3808301)Instruction limit reached!
% 0.16/3.40 % (3808301)------------------------------
% 0.16/3.40 % (3808301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.40 % (3808301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.40 % (3808301)CaDiCaL version: 2.1.3
% 0.16/3.40 % (3808301)Termination reason: Instruction limit
% 0.16/3.40 % (3808301)Termination phase: Saturation
% 0.16/3.40 % (3808301)Time elapsed: 0.139 s
% 0.16/3.40 % (3808301)Peak memory usage: 89 MB
% 0.16/3.40 % (3808301)Instructions burned: 266 (million)
% 0.16/3.40 % (3808305)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1668677583:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 0.16/3.40 % (3808306)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=609290924:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 0.16/3.40 % (3808259)First to succeed.
% 0.16/3.40 % (3808259)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3808254"
% 0.16/3.40 % (3808306)Instruction limit reached!
% 0.16/3.40 % (3808306)------------------------------
% 0.16/3.40 % (3808306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.40 % (3808306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.40 % (3808306)CaDiCaL version: 2.1.3
% 0.16/3.40 % (3808306)Termination reason: Instruction limit
% 0.16/3.40 % (3808306)Termination phase: Saturation
% 0.16/3.40 % (3808306)Time elapsed: 0.262 s
% 0.16/3.40 % (3808306)Peak memory usage: 88 MB
% 0.16/3.40 % (3808306)Instructions burned: 538 (million)
% 0.16/3.40 % (3808259)Refutation found. Thanks to Tanya!
% 0.16/3.40 % SZS status Unsatisfiable for theBenchmark
% 0.16/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.40 % (3808259)------------------------------
% 0.16/3.40 % (3808259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.40 % (3808259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.40 % (3808259)CaDiCaL version: 2.1.3
% 0.16/3.40 % (3808259)Termination reason: Refutation
% 0.16/3.40 % (3808259)Time elapsed: 1.924 s
% 0.16/3.40 % (3808259)Peak memory usage: 143 MB
% 0.16/3.40 % (3808259)Instructions burned: 2951 (million)
% 0.16/3.40 % (3808259)------------------------------
% 0.16/3.40 % (3808259)------------------------------
% 0.16/3.40 % (3808254)Success in time 2.364 s
% 0.16/3.40 % Vampire exiting
%------------------------------------------------------------------------------