%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL090-1 : 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 : 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 11:51:10 AM UTC 2026
% Result : Unsatisfiable 3.06s 1.48s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 23 unt; 10 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 173 ( 77 ~; 86 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 11 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 215 ( 0 sgn 215 !; 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(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_1) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))),
inference(resolution,[],[f5,f4]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))
| is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(resolution,[],[f7,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
inference(resolution,[],[f8,f1]) ).
fof(f13,definition,
( spl0_1
<=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f14,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f16,f13]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X2,X3),implies(X4,implies(X5,implies(X2,X3))))))),
inference(resolution,[],[f6,f7]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))),implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))),
inference(resolution,[],[f6,f4]) ).
fof(f24,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f19,f17]) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f26,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3))))
| ~ spl0_1 ),
inference(resolution,[],[f14,f4]) ).
fof(f44,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))))
| ~ spl0_1 ),
inference(resolution,[],[f26,f7]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))),implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2))))))),
inference(resolution,[],[f20,f4]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))))
| is_a_theorem(implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5))))) ),
inference(resolution,[],[f20,f1]) ).
fof(f52,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) )
| ~ spl0_1 ),
inference(resolution,[],[f44,f1]) ).
fof(f57,definition,
( spl0_4
<=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f58,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( spl0_4
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f52,f13,f16,f57]) ).
fof(f63,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3))))
| ~ spl0_4 ),
inference(resolution,[],[f58,f4]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))))
| is_a_theorem(implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2)))))) ),
inference(resolution,[],[f48,f1]) ).
fof(f459,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))),
inference(resolution,[],[f198,f2]) ).
fof(f650,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2))))) ),
inference(resolution,[],[f459,f1]) ).
fof(f663,definition,
( spl0_11
<=> ! [X3,X4,X5,X2,X1] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f664,plain,
( ! [X2,X3,X1,X4,X5] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f650,f16,f663]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1)))) )
| ~ spl0_11 ),
inference(resolution,[],[f664,f1]) ).
fof(f837,definition,
( spl0_13
<=> ! [X4,X3,X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f838,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f839,plain,
( spl0_13
| spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f823,f663,f16,f837]) ).
fof(f864,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,implies(implies(X3,X0),X0))) )
| ~ spl0_13 ),
inference(resolution,[],[f838,f1]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3)))))
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f864,f63]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3)))) )
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f885,f1]) ).
fof(f1251,definition,
( spl0_16
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f1252,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3))))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1253,plain,
( spl0_16
| spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1235,f837,f57,f16,f1251]) ).
fof(f1279,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1))))
| ~ spl0_16 ),
inference(resolution,[],[f1252,f4]) ).
fof(f1280,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,X3)))))
| ~ spl0_16 ),
inference(resolution,[],[f1252,f50]) ).
fof(f1461,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) )
| ~ spl0_16 ),
inference(resolution,[],[f1279,f1]) ).
fof(f1513,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3)))) )
| ~ spl0_16 ),
inference(resolution,[],[f1280,f1]) ).
fof(f1531,definition,
( spl0_22
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f1532,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f1533,plain,
( spl0_22
| spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1513,f1251,f16,f1531]) ).
fof(f1560,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) )
| ~ spl0_22 ),
inference(resolution,[],[f1532,f1]) ).
fof(f1577,definition,
( spl0_23
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1578,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1579,plain,
( spl0_23
| spl0_2
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1560,f1531,f16,f1577]) ).
fof(f1935,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f1461,f1578]) ).
fof(f2045,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) )
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f1935,f1]) ).
fof(f2065,definition,
( spl0_27
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f2066,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2)))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f2067,plain,
( spl0_27
| spl0_2
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2045,f1577,f1251,f16,f2065]) ).
fof(f2091,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl0_27 ),
inference(resolution,[],[f2066,f1]) ).
fof(f2110,definition,
( spl0_28
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f2111,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f2112,plain,
( spl0_28
| spl0_2
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2091,f2065,f16,f2110]) ).
fof(f2170,plain,
( $false
| ~ spl0_28 ),
inference(resolution,[],[f2111,f3]) ).
fof(f2193,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f2170]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f25]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f59]) ).
cnf(s12,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f665]) ).
cnf(s14,plain,
( spl0_2
| ~ spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f839]) ).
cnf(s17,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s23,plain,
( spl0_2
| ~ spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s24,plain,
( spl0_2
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s28,plain,
( spl0_2
| ~ spl0_16
| ~ spl0_23
| spl0_27 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s29,plain,
( spl0_2
| ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f2112]) ).
cnf(s30,plain,
~ spl0_28,
inference(sat_conversion,[],[f2193]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_27 ),
inference(rat,[],[s29,s30]) ).
cnf(s32,plain,
~ spl0_27,
inference(rat,[],[s31,s3]) ).
cnf(s39,plain,
spl0_11,
inference(rat,[],[s12,s3]) ).
cnf(s42,plain,
spl0_13,
inference(rat,[],[s14,s3,s39]) ).
cnf(s46,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s47,plain,
spl0_4,
inference(rat,[],[s5,s3,s46]) ).
cnf(s48,plain,
spl0_16,
inference(rat,[],[s17,s42,s3,s47]) ).
cnf(s52,plain,
~ spl0_23,
inference(rat,[],[s28,s32,s3,s48]) ).
cnf(s53,plain,
spl0_22,
inference(rat,[],[s23,s3,s48]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s24,s3,s52,s53]) ).
fof(f2194,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL090-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:19:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.06/1.48 % (1575473)Input is clausal, will run a generic CNF schedule.
% 3.06/1.48 % (1575513)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3385108293:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.06/1.48 % (1575513)Instruction limit reached!
% 3.06/1.48 % (1575513)------------------------------
% 3.06/1.48 % (1575513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.48 % (1575513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.48 % (1575513)CaDiCaL version: 2.1.3
% 3.06/1.48 % (1575513)Termination reason: Instruction limit
% 3.06/1.48 % (1575513)Termination phase: Saturation
% 3.06/1.48 % (1575513)Time elapsed: 0.039 s
% 3.06/1.48 % (1575513)Peak memory usage: 89 MB
% 3.06/1.48 % (1575513)Instructions burned: 115 (million)
% 3.06/1.48 % (1575514)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3377282283:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.06/1.48 % (1575509)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=3520415677:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.06/1.48 % (1575515)dis-21_1_sil=8000:lcm=predicate:random_seed=384165350: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)
% 3.06/1.48 % (1575511)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=555297103:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.06/1.48 % (1575510)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3290354527:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.06/1.48 % (1575512)lrs+10_1_sil=8000:sp=occurrence:random_seed=2868414043:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.06/1.48 % (1575512)First to succeed.
% 3.06/1.48 % (1575512)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1575473"
% 3.06/1.48 % (1575515)Instruction limit reached!
% 3.06/1.48 % (1575515)------------------------------
% 3.06/1.48 % (1575515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.48 % (1575515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.48 % (1575515)CaDiCaL version: 2.1.3
% 3.06/1.48 % (1575515)Termination reason: Instruction limit
% 3.06/1.48 % (1575515)Termination phase: Saturation
% 3.06/1.48 % (1575515)Time elapsed: 0.067 s
% 3.06/1.48 % (1575515)Peak memory usage: 88 MB
% 3.06/1.48 % (1575515)Instructions burned: 118 (million)
% 3.06/1.48 % (1575514)Instruction limit reached!
% 3.06/1.48 % (1575514)------------------------------
% 3.06/1.48 % (1575514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.48 % (1575514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.48 % (1575514)CaDiCaL version: 2.1.3
% 3.06/1.48 % (1575514)Termination reason: Instruction limit
% 3.06/1.48 % (1575514)Termination phase: Saturation
% 3.06/1.48 % (1575514)Time elapsed: 0.114 s
% 3.06/1.48 % (1575514)Peak memory usage: 89 MB
% 3.06/1.48 % (1575514)Instructions burned: 181 (million)
% 3.06/1.48 % (1575523)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=4065798787:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.06/1.48 % (1575523)Refutation not found, incomplete strategy
% 3.06/1.48 % (1575523)------------------------------
% 3.06/1.48 % (1575523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.48 % (1575523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.48 % (1575523)CaDiCaL version: 2.1.3
% 3.06/1.48 % (1575523)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.48 % (1575523)Time elapsed: 0.0000 s
% 3.06/1.48 % (1575523)Peak memory usage: 87 MB
% 3.06/1.48 % (1575528)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4229629121: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)
% 3.06/1.48 % (1575548)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1684731793:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.06/1.48 % (1575548)Refutation not found, incomplete strategy
% 3.06/1.48 % (1575548)------------------------------
% 3.06/1.48 % (1575548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.48 % (1575548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.48 % (1575548)CaDiCaL version: 2.1.3
% 3.06/1.48 % (1575548)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.48 % (1575548)Time elapsed: 0.001 s
% 3.06/1.48 % (1575548)Peak memory usage: 87 MB
% 3.06/1.48 % (1575523)------------------------------
% 3.06/1.48 % (1575523)------------------------------
% 3.06/1.48 % (1575512)Refutation found. Thanks to Tanya!
% 3.06/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.06/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.67 % (1575512)------------------------------
% 4.27/1.67 % (1575512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.67 % (1575512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.67 % (1575512)CaDiCaL version: 2.1.3
% 4.27/1.67 % (1575512)Termination reason: Refutation
% 4.27/1.67 % (1575512)Time elapsed: 0.052 s
% 4.27/1.67 % (1575512)Peak memory usage: 90 MB
% 4.27/1.67 % (1575512)Instructions burned: 78 (million)
% 4.27/1.67 % (1575512)------------------------------
% 4.27/1.67 % (1575512)------------------------------
% 4.27/1.67 % (1575473)Success in time 0.509 s
% 4.27/1.67 % Vampire exiting
%------------------------------------------------------------------------------