%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN006-2 : 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 : n004.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 10:19:06 AM UTC 2026
% Result : Unsatisfiable 11.67s 3.01s
% Output : Refutation 11.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 67 ( 22 unt; 8 def)
% Number of atoms : 137 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 64 ~; 62 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X0,X1,X2)
| ~ quotient(X2,X3,X7)
| less_equal(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f8,negated_conjecture,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f15,axiom,
quotient(x,y,xQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQy) ).
fof(f16,axiom,
less_equal(xQy,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz) ).
fof(f17,axiom,
quotient(x,z,xQz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQz) ).
fof(f18,negated_conjecture,
~ less_equal(xQz,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xQzLEy) ).
fof(f20,definition,
( spl0_1
<=> less_equal(xQz,y) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ~ less_equal(xQz,y)
| spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f18,f20]) ).
fof(f25,definition,
( spl0_2
<=> quotient(x,z,xQz) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f27,plain,
( quotient(x,z,xQz)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
spl0_2,
inference(avatar_split_clause,[],[f17,f25]) ).
fof(f30,definition,
( spl0_3
<=> less_equal(xQy,z) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f32,plain,
( less_equal(xQy,z)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl0_3,
inference(avatar_split_clause,[],[f16,f30]) ).
fof(f35,definition,
( spl0_4
<=> quotient(x,y,xQy) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f37,plain,
( quotient(x,y,xQy)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
spl0_4,
inference(avatar_split_clause,[],[f15,f35]) ).
fof(f45,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f63,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ less_equal(X0,divide(X1,X2))
| less_equal(X0,X1) ),
inference(resolution,[],[f14,f45]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ quotient(X5,X1,X6)
| ~ quotient(X3,X1,X4)
| ~ quotient(X3,X0,X5)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X4,X2),X6) ),
inference(resolution,[],[f4,f8]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X3,X1,X5)
| ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X2,X5),zero)
| ~ less_equal(X4,X1) ),
inference(resolution,[],[f94,f1]) ).
fof(f811,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X4,divide(X1,X3)),zero)
| ~ less_equal(X2,X3) ),
inference(resolution,[],[f132,f8]) ).
fof(f2559,plain,
( ! [X0,X1] :
( ~ quotient(x,X0,X1)
| less_equal(divide(xQz,divide(X0,z)),zero)
| ~ less_equal(X1,z) )
| ~ spl0_2 ),
inference(resolution,[],[f811,f27]) ).
fof(f4257,plain,
( less_equal(divide(xQz,divide(y,z)),zero)
| ~ less_equal(xQy,z)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f2559,f37]) ).
fof(f4266,plain,
( less_equal(divide(xQz,divide(y,z)),zero)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f4257,f32]) ).
fof(f4274,definition,
( spl0_89
<=> less_equal(divide(xQz,divide(y,z)),zero) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f4276,plain,
( less_equal(divide(xQz,divide(y,z)),zero)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f4274]) ).
fof(f4277,plain,
( spl0_89
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4266,f35,f30,f25,f4274]) ).
fof(f4309,plain,
( zero = divide(xQz,divide(y,z))
| ~ spl0_89 ),
inference(resolution,[],[f4276,f63]) ).
fof(f4316,definition,
( spl0_92
<=> zero = divide(xQz,divide(y,z)) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f4318,plain,
( zero = divide(xQz,divide(y,z))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f4316]) ).
fof(f4319,plain,
( spl0_92
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f4309,f4274,f4316]) ).
fof(f5236,plain,
( quotient(xQz,divide(y,z),zero)
| ~ spl0_92 ),
inference(superposition,[],[f8,f4318]) ).
fof(f5279,definition,
( spl0_114
<=> quotient(xQz,divide(y,z),zero) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f5281,plain,
( quotient(xQz,divide(y,z),zero)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f5279]) ).
fof(f5282,plain,
( spl0_114
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f5236,f4316,f5279]) ).
fof(f5331,plain,
( less_equal(xQz,divide(y,z))
| ~ spl0_114 ),
inference(resolution,[],[f5281,f2]) ).
fof(f5384,definition,
( spl0_117
<=> less_equal(xQz,divide(y,z)) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f5386,plain,
( less_equal(xQz,divide(y,z))
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f5384]) ).
fof(f5387,plain,
( spl0_117
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f5331,f5279,f5384]) ).
fof(f5403,plain,
( less_equal(xQz,y)
| ~ spl0_117 ),
inference(resolution,[],[f5386,f78]) ).
fof(f5416,plain,
( $false
| spl0_1
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f5403,f22]) ).
fof(f5417,plain,
( spl0_1
| ~ spl0_117 ),
inference(avatar_contradiction_clause,[],[f5416]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f28]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
spl0_4,
inference(sat_conversion,[],[f38]) ).
cnf(s95,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_89 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s100,plain,
( ~ spl0_89
| spl0_92 ),
inference(sat_conversion,[],[f4319]) ).
cnf(s125,plain,
( ~ spl0_92
| spl0_114 ),
inference(sat_conversion,[],[f5282]) ).
cnf(s129,plain,
( ~ spl0_114
| spl0_117 ),
inference(sat_conversion,[],[f5387]) ).
cnf(s132,plain,
( spl0_1
| ~ spl0_117 ),
inference(sat_conversion,[],[f5417]) ).
cnf(s143,plain,
spl0_89,
inference(rat,[],[s95,s3,s4,s2]) ).
cnf(s148,plain,
spl0_92,
inference(rat,[],[s100,s143]) ).
cnf(s152,plain,
spl0_114,
inference(rat,[],[s125,s148]) ).
cnf(s155,plain,
spl0_117,
inference(rat,[],[s129,s152]) ).
cnf(s158,plain,
spl0_1,
inference(rat,[],[s132,s155]) ).
cnf(s164,plain,
$false,
inference(rat,[],[s1,s158]) ).
fof(f5418,plain,
$false,
inference(avatar_sat_refutation,[],[s164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HEN006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 % Computer : n004.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sun Sep 27 10:50:43 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.54 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
% 5.41/2.82 % (3336018)Input is clausal, will run a generic CNF schedule.
% 5.41/2.82 % (3336025)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3976660446:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.41/2.82 % (3336023)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=3666846980:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.41/2.82 % (3336027)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2269409473:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.41/2.82 % (3336024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3771223722:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.41/2.82 % (3336026)lrs+10_1_sil=8000:sp=occurrence:random_seed=2423388985:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.41/2.82 % (3336026)Refutation not found, incomplete strategy
% 5.41/2.82 % (3336026)------------------------------
% 5.41/2.82 % (3336026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336026)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336026)Termination reason: Refutation not found, incomplete strategy
% 5.41/2.82 % (3336026)Time elapsed: 0.003 s
% 5.41/2.82 % (3336026)Peak memory usage: 88 MB
% 5.41/2.82 % (3336026)Instructions burned: 1 (million)
% 5.41/2.82 % (3336029)dis-21_1_sil=8000:lcm=predicate:random_seed=1177338528: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)
% 5.41/2.82 % (3336028)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1994336192:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.41/2.82 % (3336027)Instruction limit reached!
% 5.41/2.82 % (3336027)------------------------------
% 5.41/2.82 % (3336027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336027)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336027)Termination reason: Instruction limit
% 5.41/2.82 % (3336027)Termination phase: Saturation
% 5.41/2.82 % (3336027)Time elapsed: 0.079 s
% 5.41/2.82 % (3336027)Peak memory usage: 87 MB
% 5.41/2.82 % (3336027)Instructions burned: 114 (million)
% 5.41/2.82 % (3336029)Instruction limit reached!
% 5.41/2.82 % (3336029)------------------------------
% 5.41/2.82 % (3336029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336029)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336029)Termination reason: Instruction limit
% 5.41/2.82 % (3336029)Termination phase: Saturation
% 5.41/2.82 % (3336029)Time elapsed: 0.092 s
% 5.41/2.82 % (3336029)Peak memory usage: 88 MB
% 5.41/2.82 % (3336029)Instructions burned: 117 (million)
% 5.41/2.82 % (3336028)Instruction limit reached!
% 5.41/2.82 % (3336028)------------------------------
% 5.41/2.82 % (3336028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336028)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336028)Termination reason: Instruction limit
% 5.41/2.82 % (3336028)Termination phase: Saturation
% 5.41/2.82 % (3336028)Time elapsed: 0.164 s
% 5.41/2.82 % (3336028)Peak memory usage: 88 MB
% 5.41/2.82 % (3336028)Instructions burned: 180 (million)
% 5.41/2.82 % (3336038)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3038830127:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.41/2.82 % (3336037)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=747988487:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.41/2.82 % (3336026)------------------------------
% 5.41/2.82 % (3336026)------------------------------
% 5.41/2.82 % (3336039)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=527908120:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.41/2.82 % (3336037)Instruction limit reached!
% 5.41/2.82 % (3336037)------------------------------
% 5.41/2.82 % (3336037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336037)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336037)Termination reason: Instruction limit
% 5.41/2.82 % (3336037)Termination phase: Saturation
% 5.41/2.82 % (3336037)Time elapsed: 0.143 s
% 5.41/2.82 % (3336037)Peak memory usage: 89 MB
% 5.41/2.82 % (3336037)Instructions burned: 143 (million)
% 5.41/2.82 % (3336038)Instruction limit reached!
% 5.41/2.82 % (3336038)------------------------------
% 5.41/2.82 % (3336038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336038)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336038)Termination reason: Instruction limit
% 5.41/2.82 % (3336038)Termination phase: Saturation
% 5.41/2.82 % (3336038)Time elapsed: 0.161 s
% 5.41/2.82 % (3336038)Peak memory usage: 88 MB
% 5.41/2.82 % (3336038)Instructions burned: 190 (million)
% 5.41/2.82 % (3336039)Instruction limit reached!
% 5.41/2.82 % (3336039)------------------------------
% 5.41/2.82 % (3336039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336039)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336039)Termination reason: Instruction limit
% 5.41/2.82 % (3336039)Termination phase: Saturation
% 5.41/2.82 % (3336039)Time elapsed: 0.144 s
% 5.41/2.82 % (3336039)Peak memory usage: 87 MB
% 5.41/2.82 % (3336039)Instructions burned: 219 (million)
% 5.41/2.82 % (3336043)lrs+10_64_to=lpo:sil=8000:random_seed=2893329200:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 5.41/2.82 % (3336043)Instruction limit reached!
% 5.41/2.82 % (3336043)------------------------------
% 5.41/2.82 % (3336043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336043)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336043)Termination reason: Instruction limit
% 5.41/2.82 % (3336043)Termination phase: Saturation
% 5.41/2.82 % (3336043)Time elapsed: 0.060 s
% 5.41/2.82 % (3336043)Peak memory usage: 88 MB
% 5.41/2.82 % (3336043)Instructions burned: 128 (million)
% 5.41/2.82 % (3336044)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2572482289:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 5.41/2.82 % (3336045)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1483082222:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 5.41/2.82 % (3336046)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1360216441:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 5.41/2.82 % (3336048)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=2785570611:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 5.41/2.82 % (3336044)Instruction limit reached!
% 5.41/2.82 % (3336044)------------------------------
% 5.41/2.82 % (3336044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336044)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336044)Termination reason: Instruction limit
% 5.41/2.82 % (3336044)Termination phase: Saturation
% 5.41/2.82 % (3336044)Time elapsed: 0.133 s
% 5.41/2.82 % (3336044)Peak memory usage: 88 MB
% 5.41/2.82 % (3336044)Instructions burned: 194 (million)
% 5.41/2.82 % (3336048)Instruction limit reached!
% 5.41/2.82 % (3336048)------------------------------
% 5.41/2.82 % (3336048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.82 % (3336048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.82 % (3336048)CaDiCaL version: 2.1.3
% 5.41/2.82 % (3336048)Termination reason: Instruction limit
% 5.41/2.82 % (3336048)Termination phase: Saturation
% 5.41/2.82 % (3336048)Time elapsed: 0.049 s
% 5.41/2.82 % (3336048)Peak memory usage: 88 MB
% 5.41/2.82 % (3336048)Instructions burned: 106 (million)
% 5.41/2.82 % (3336045)First to succeed.
% 5.41/2.82 % (3336045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3336018"
% 5.41/2.82 % (3336053)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=343724690:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 11.67/3.01 % (3336054)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2770827495:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 11.67/3.01 % (3336053)Refutation not found, incomplete strategy
% 11.67/3.01 % (3336053)------------------------------
% 11.67/3.01 % (3336053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.67/3.01 % (3336053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/3.01 % (3336053)CaDiCaL version: 2.1.3
% 11.67/3.01 % (3336053)Termination reason: Refutation not found, incomplete strategy
% 11.67/3.01 % (3336053)Time elapsed: 0.048 s
% 11.67/3.01 % (3336053)Peak memory usage: 88 MB
% 11.67/3.01 % (3336053)Instructions burned: 47 (million)
% 11.67/3.01 % (3336024)Also succeeded, but the first one will report.
% 11.67/3.01 % (3336023)Also succeeded, but the first one will report.
% 11.67/3.01 % (3336045)Refutation found. Thanks to Tanya!
% 11.67/3.01 % SZS status Unsatisfiable for theBenchmark
% 11.67/3.01 % SZS output start Proof for theBenchmark
% See solution above
% 11.67/3.02 % (3336045)------------------------------
% 11.67/3.02 % (3336045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.67/3.02 % (3336045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/3.02 % (3336045)CaDiCaL version: 2.1.3
% 11.67/3.02 % (3336045)Termination reason: Refutation
% 11.67/3.02 % (3336045)Time elapsed: 0.161 s
% 11.67/3.02 % (3336045)Peak memory usage: 91 MB
% 11.67/3.02 % (3336045)Instructions burned: 153 (million)
% 11.67/3.02 % (3336045)------------------------------
% 11.67/3.02 % (3336045)------------------------------
% 11.67/3.02 % (3336018)Success in time 1.539 s
% 11.67/3.02 % Vampire exiting
%------------------------------------------------------------------------------