%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL367-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 11:58:27 AM UTC 2026
% Result : Unsatisfiable 2.38s 1.04s
% Output : Refutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 17 unt; 2 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 50 ~; 46 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 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,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(y,x),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_17) ).
fof(f6,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1,f3]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f4]) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f8,f1]) ).
fof(f19,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18,f3]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f18,f2]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f18,f8]) ).
fof(f22,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18,f4]) ).
fof(f24,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[],[f19,f8]) ).
fof(f26,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f19,f4]) ).
fof(f34,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(implies(not(X0),X1)),X0))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f22,f6]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X2,implies(X1,X0)))
| is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f24,f18]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f20,f6]) ).
fof(f45,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(not(X1),X1),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f21,f3]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X2,X4),implies(X1,X4)),X3)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
inference(resolution,[],[f21,f2]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f21,f4]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f21,f7]) ).
fof(f147,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f49,f26]) ).
fof(f156,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f53,f4]) ).
fof(f187,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f156,f19]) ).
fof(f221,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f46,f26]) ).
fof(f264,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f187,f3]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f147,f1]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f38,f156]) ).
fof(f683,definition,
( spl0_13
<=> ! [X2,X1] : is_a_theorem(implies(not(implies(implies(not(X1),X1),X1)),X2)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f684,plain,
( ! [X2,X1] : is_a_theorem(implies(not(implies(implies(not(X1),X1),X1)),X2))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f712,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[],[f34,f264]) ).
fof(f723,plain,
spl0_13,
inference(avatar_split_clause,[],[f712,f683]) ).
fof(f823,definition,
( spl0_18
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f824,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2)))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f1008,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f44,f264]) ).
fof(f1021,plain,
spl0_18,
inference(avatar_split_clause,[],[f1008,f823]) ).
fof(f2050,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(resolution,[],[f221,f1]) ).
fof(f9118,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f392,f45]) ).
fof(f13037,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl0_18 ),
inference(resolution,[],[f9118,f824]) ).
fof(f13510,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1))
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f13037,f684]) ).
fof(f13731,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f13510,f2050]) ).
fof(f14553,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f13731,f2050]) ).
fof(f14995,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0)))
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f14553,f319]) ).
fof(f15134,plain,
( $false
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_subsumption_resolution,[],[f5,f14995]) ).
fof(f15243,plain,
( ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f15134]) ).
cnf(s33,plain,
spl0_13,
inference(sat_conversion,[],[f723]) ).
cnf(s55,plain,
spl0_18,
inference(sat_conversion,[],[f1021]) ).
cnf(s848,plain,
( ~ spl0_13
| ~ spl0_18 ),
inference(sat_conversion,[],[f15243]) ).
cnf(s852,plain,
~ spl0_13,
inference(rat,[],[s848,s55]) ).
cnf(s862,plain,
$false,
inference(rat,[],[s33,s852]) ).
fof(f15248,plain,
$false,
inference(avatar_sat_refutation,[],[s862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL367-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 % Computer : n017.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 15:32:05 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.45 Running first-order model finding
% 0.16/0.46 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
% 2.38/1.04 % (2744028)Will run a generic schedule for satisfiability detection.
% 2.38/1.04 % (2744036)dis+10_1_sil=32000:sp=arity:random_seed=3254842394:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.38/1.04 % (2744034)% WARNING: option uhcvi not known.
% 2.38/1.04 % (2744034)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3648042631:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.38/1.04 % (2744033)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1423405104_2999 on theBenchmark for (2999ds/0Mi)
% 2.38/1.04 % (2744037)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=123874301:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.38/1.04 % (2744039)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3417265907:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.38/1.04 % (2744038)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2107004989:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.38/1.04 % (2744035)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3942290683:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.38/1.04 % TRYING [1]
% 2.38/1.04 % TRYING [2]
% 2.38/1.04 % TRYING [3]
% 2.38/1.04 % TRYING [4]
% 2.38/1.04 % (2744036)Instruction limit reached!
% 2.38/1.04 % (2744036)------------------------------
% 2.38/1.04 % (2744036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744036)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744036)Termination reason: Instruction limit
% 2.38/1.04 % (2744036)Termination phase: Saturation
% 2.38/1.04 % (2744036)Time elapsed: 0.055 s
% 2.38/1.04 % (2744036)Peak memory usage: 11 MB
% 2.38/1.04 % (2744036)Instructions burned: 103 (million)
% 2.38/1.04 % (2744047)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1766675328:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.38/1.04 % TRYING [1]
% 2.38/1.04 % TRYING [2]
% 2.38/1.04 % TRYING [3]
% 2.38/1.04 % TRYING [4]
% 2.38/1.04 % TRYING [5]
% 2.38/1.04 % (2744037)Instruction limit reached!
% 2.38/1.04 % (2744037)------------------------------
% 2.38/1.04 % (2744037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744037)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744037)Termination reason: Instruction limit
% 2.38/1.04 % (2744037)Termination phase: Saturation
% 2.38/1.04 % (2744037)Time elapsed: 0.116 s
% 2.38/1.04 % (2744037)Peak memory usage: 11 MB
% 2.38/1.04 % (2744037)Instructions burned: 117 (million)
% 2.38/1.04 % TRYING [5]
% 2.38/1.04 % (2744038)Instruction limit reached!
% 2.38/1.04 % (2744038)------------------------------
% 2.38/1.04 % (2744038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744038)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744038)Termination reason: Instruction limit
% 2.38/1.04 % (2744038)Termination phase: Saturation
% 2.38/1.04 % (2744038)Time elapsed: 0.129 s
% 2.38/1.04 % (2744038)Peak memory usage: 13 MB
% 2.38/1.04 % (2744038)Instructions burned: 131 (million)
% 2.38/1.04 % (2744050)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4074960989:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.38/1.04 % (2744039)Instruction limit reached!
% 2.38/1.04 % (2744039)------------------------------
% 2.38/1.04 % (2744039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744039)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744039)Termination reason: Instruction limit
% 2.38/1.04 % (2744039)Termination phase: Saturation
% 2.38/1.04 % (2744039)Time elapsed: 0.164 s
% 2.38/1.04 % (2744039)Peak memory usage: 11 MB
% 2.38/1.04 % (2744039)Instructions burned: 159 (million)
% 2.38/1.04 % (2744052)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=231864140:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.38/1.04 % (2744057)ott-21_1_sil=16000:fs=off:random_seed=2145210763:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.38/1.04 % (2744050)Instruction limit reached!
% 2.38/1.04 % (2744050)------------------------------
% 2.38/1.04 % (2744050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744050)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744050)Termination reason: Instruction limit
% 2.38/1.04 % (2744050)Termination phase: Saturation
% 2.38/1.04 % (2744050)Time elapsed: 0.088 s
% 2.38/1.04 % (2744050)Peak memory usage: 12 MB
% 2.38/1.04 % (2744050)Instructions burned: 132 (million)
% 2.38/1.04 % (2744059)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3527528921:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.38/1.04 % (2744057)Instruction limit reached!
% 2.38/1.04 % (2744057)------------------------------
% 2.38/1.04 % (2744057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744057)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744057)Termination reason: Instruction limit
% 2.38/1.04 % (2744057)Termination phase: Saturation
% 2.38/1.04 % (2744057)Time elapsed: 0.163 s
% 2.38/1.04 % (2744057)Peak memory usage: 12 MB
% 2.38/1.04 % (2744057)Instructions burned: 180 (million)
% 2.38/1.04 % (2744061)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=36110142:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 2.38/1.04 % TRYING [1]
% 2.38/1.04 % TRYING [2]
% 2.38/1.04 % TRYING [3]
% 2.38/1.04 % TRYING [4]
% 2.38/1.04 % (2744047)Instruction limit reached!
% 2.38/1.04 % (2744047)------------------------------
% 2.38/1.04 % (2744047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744047)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744047)Termination reason: Instruction limit
% 2.38/1.04 % (2744047)Termination phase: Finite model building SAT solving
% 2.38/1.04 % (2744047)Time elapsed: 0.349 s
% 2.38/1.04 % (2744047)Peak memory usage: 14 MB
% 2.38/1.04 % (2744047)Instructions burned: 716 (million)
% 2.38/1.04 % (2744064)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2751225375:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.38/1.04 % TRYING [5]
% 2.38/1.04 % (2744034) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2744028-2744034"...
% 2.38/1.04 % (2744034)...printing done.
% 2.38/1.04 % (2744034)Refutation found. Thanks to Tanya!
% 2.38/1.04 % SZS status Unsatisfiable for theBenchmark
% 2.38/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.38/1.04 % (2744034)------------------------------
% 2.38/1.04 % (2744034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.04 % (2744034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.04 % (2744034)CaDiCaL version: 2.1.3
% 2.38/1.04 % (2744034)Termination reason: Refutation
% 2.38/1.04 % (2744034)Time elapsed: 0.535 s
% 2.38/1.04 % (2744034)Peak memory usage: 17 MB
% 2.38/1.04 % (2744034)Instructions burned: 604 (million)
% 2.38/1.04 % (2744028)Success in time 0.573 s
% 2.38/1.04 % Vampire exiting
%------------------------------------------------------------------------------