%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:51:10 AM UTC 2026
% Result : Unsatisfiable 3.88s 1.51s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 16 unt; 9 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 161 ( 72 ~; 80 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 10 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f9,definition,
( spl0_1
<=> ! [X3,X4,X5,X2,X1] : is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( ! [X2,X3,X1,X4,X5] : is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f14,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f12,f9]) ).
fof(f15,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f13,f2]) ).
fof(f18,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f15]) ).
fof(f20,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X1,X3))) )
| ~ spl0_1 ),
inference(resolution,[],[f10,f1]) ).
fof(f27,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))
| ~ spl0_1 ),
inference(resolution,[],[f20,f2]) ).
fof(f29,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2)))))
| ~ spl0_1 ),
inference(resolution,[],[f20,f10]) ).
fof(f35,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) )
| ~ spl0_1 ),
inference(resolution,[],[f27,f1]) ).
fof(f37,definition,
( spl0_4
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f38,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( spl0_4
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f35,f9,f12,f37]) ).
fof(f47,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3))))
| ~ spl0_4 ),
inference(resolution,[],[f38,f4]) ).
fof(f61,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) )
| ~ spl0_1 ),
inference(resolution,[],[f29,f1]) ).
fof(f63,definition,
( spl0_7
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f64,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( spl0_7
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f61,f9,f12,f63]) ).
fof(f66,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1))))
| ~ spl0_7 ),
inference(resolution,[],[f64,f4]) ).
fof(f110,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) )
| ~ spl0_7 ),
inference(resolution,[],[f66,f1]) ).
fof(f112,definition,
( spl0_8
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f113,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( spl0_8
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f110,f63,f12,f112]) ).
fof(f120,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f113,f20]) ).
fof(f138,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) )
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f120,f1]) ).
fof(f140,definition,
( spl0_10
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f141,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( spl0_10
| spl0_2
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f138,f112,f9,f12,f140]) ).
fof(f152,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))
| ~ spl0_10 ),
inference(resolution,[],[f141,f4]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3))) )
| ~ spl0_4 ),
inference(resolution,[],[f47,f1]) ).
fof(f659,definition,
( spl0_41
<=> ! [X2,X4,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3))) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f660,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3)))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( spl0_41
| spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f657,f37,f12,f659]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) )
| ~ spl0_10 ),
inference(resolution,[],[f152,f1]) ).
fof(f1043,definition,
( spl0_53
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f1044,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1045,plain,
( spl0_53
| spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1041,f140,f12,f1043]) ).
fof(f1077,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) )
| ~ spl0_53 ),
inference(resolution,[],[f1044,f1]) ).
fof(f2174,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))
| ~ spl0_41
| ~ spl0_53 ),
inference(resolution,[],[f660,f1077]) ).
fof(f2207,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) )
| ~ spl0_41
| ~ spl0_53 ),
inference(resolution,[],[f2174,f1]) ).
fof(f2215,definition,
( spl0_73
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f2216,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f2217,plain,
( spl0_73
| spl0_2
| ~ spl0_41
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f2207,f1043,f659,f12,f2215]) ).
fof(f2262,plain,
( $false
| ~ spl0_73 ),
inference(resolution,[],[f2216,f3]) ).
fof(f2270,plain,
~ spl0_73,
inference(avatar_contradiction_clause,[],[f2262]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f18]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f39]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f65]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f142]) ).
cnf(s45,plain,
( spl0_2
| ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f661]) ).
cnf(s59,plain,
( spl0_2
| ~ spl0_10
| spl0_53 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s99,plain,
( spl0_2
| ~ spl0_41
| ~ spl0_53
| spl0_73 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s105,plain,
~ spl0_73,
inference(sat_conversion,[],[f2270]) ).
cnf(s106,plain,
( spl0_2
| ~ spl0_41
| ~ spl0_53 ),
inference(rat,[],[s99,s105]) ).
cnf(s115,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s123,plain,
spl0_7,
inference(rat,[],[s8,s3,s115]) ).
cnf(s125,plain,
spl0_4,
inference(rat,[],[s5,s3,s115]) ).
cnf(s127,plain,
spl0_8,
inference(rat,[],[s9,s3,s123]) ).
cnf(s136,plain,
spl0_41,
inference(rat,[],[s45,s3,s125]) ).
cnf(s161,plain,
spl0_10,
inference(rat,[],[s11,s115,s3,s127]) ).
cnf(s164,plain,
~ spl0_53,
inference(rat,[],[s106,s3,s136]) ).
cnf(s166,plain,
$false,
inference(rat,[],[s59,s3,s164,s161]) ).
fof(f2271,plain,
$false,
inference(avatar_sat_refutation,[],[s166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.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 15:21:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/1.32 % (2542443)Input is clausal, will run a generic CNF schedule.
% 3.12/1.32 % (2542452)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2422115994:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.12/1.32 % (2542453)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=190086066:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.12/1.32 % (2542451)lrs+10_1_sil=8000:sp=occurrence:random_seed=2524415581:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.12/1.32 % (2542448)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=1028093728:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.12/1.32 % (2542450)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3431306695:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.12/1.32 % (2542449)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=42423992:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.12/1.32 % (2542452)Instruction limit reached!
% 3.12/1.32 % (2542452)------------------------------
% 3.12/1.32 % (2542452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (2542452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (2542452)CaDiCaL version: 2.1.3
% 3.12/1.32 % (2542452)Termination reason: Instruction limit
% 3.12/1.32 % (2542452)Termination phase: Saturation
% 3.12/1.32 % (2542452)Time elapsed: 0.041 s
% 3.12/1.32 % (2542452)Peak memory usage: 88 MB
% 3.12/1.32 % (2542452)Instructions burned: 115 (million)
% 3.12/1.32 % (2542454)dis-21_1_sil=8000:lcm=predicate:random_seed=403907201: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)
% 3.12/1.32 % (2542451)First to succeed.
% 3.12/1.32 % (2542451)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2542443"
% 3.12/1.32 % (2542454)Instruction limit reached!
% 3.12/1.32 % (2542454)------------------------------
% 3.12/1.32 % (2542454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (2542454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (2542454)CaDiCaL version: 2.1.3
% 3.12/1.32 % (2542454)Termination reason: Instruction limit
% 3.12/1.32 % (2542454)Termination phase: Saturation
% 3.12/1.32 % (2542454)Time elapsed: 0.069 s
% 3.12/1.32 % (2542454)Peak memory usage: 89 MB
% 3.12/1.32 % (2542454)Instructions burned: 118 (million)
% 3.12/1.32 % (2542462)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=183700849:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.12/1.32 % (2542462)Refutation not found, incomplete strategy
% 3.12/1.32 % (2542462)------------------------------
% 3.12/1.32 % (2542462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (2542462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (2542462)CaDiCaL version: 2.1.3
% 3.12/1.32 % (2542462)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.32 % (2542462)Time elapsed: 0.0000 s
% 3.12/1.32 % (2542462)Peak memory usage: 87 MB
% 3.12/1.32 % (2542453)Instruction limit reached!
% 3.12/1.32 % (2542453)------------------------------
% 3.12/1.32 % (2542453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (2542453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (2542453)CaDiCaL version: 2.1.3
% 3.12/1.32 % (2542453)Termination reason: Instruction limit
% 3.12/1.32 % (2542453)Termination phase: Saturation
% 3.12/1.32 % (2542453)Time elapsed: 0.121 s
% 3.12/1.32 % (2542453)Peak memory usage: 88 MB
% 3.12/1.32 % (2542453)Instructions burned: 180 (million)
% 3.12/1.32 % (2542463)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1271264394: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)
% 3.12/1.32 % (2542462)------------------------------
% 3.12/1.32 % (2542462)------------------------------
% 3.12/1.32 % (2542465)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3322035734:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.12/1.32 % (2542465)Refutation not found, incomplete strategy
% 3.88/1.51 % (2542465)------------------------------
% 3.88/1.51 % (2542465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.51 % (2542465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.51 % (2542465)CaDiCaL version: 2.1.3
% 3.88/1.51 % (2542465)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.51 % (2542465)Time elapsed: 0.001 s
% 3.88/1.51 % (2542465)Peak memory usage: 87 MB
% 3.88/1.51 % (2542451)Refutation found. Thanks to Tanya!
% 3.88/1.51 % SZS status Unsatisfiable for theBenchmark
% 3.88/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.51 % (2542451)------------------------------
% 3.88/1.51 % (2542451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.51 % (2542451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.51 % (2542451)CaDiCaL version: 2.1.3
% 3.88/1.51 % (2542451)Termination reason: Refutation
% 3.88/1.51 % (2542451)Time elapsed: 0.048 s
% 3.88/1.51 % (2542451)Peak memory usage: 90 MB
% 3.88/1.51 % (2542451)Instructions burned: 68 (million)
% 3.88/1.51 % (2542451)------------------------------
% 3.88/1.51 % (2542451)------------------------------
% 3.88/1.51 % (2542443)Success in time 0.456 s
% 3.88/1.51 % Vampire exiting
%------------------------------------------------------------------------------