%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL034-1 : 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 11:50:59 AM UTC 2026
% Result : Unsatisfiable 10.84s 2.36s
% Output : Refutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 17 unt; 6 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 148 ( 71 ~; 71 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 134 !; 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(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
| is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
inference(resolution,[],[f5,f4]) ).
fof(f7,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))) ),
inference(resolution,[],[f5,f1]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
inference(resolution,[],[f6,f4]) ).
fof(f13,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(resolution,[],[f8,f4]) ).
fof(f19,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f13,f7]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(resolution,[],[f19,f1]) ).
fof(f27,definition,
( spl0_1
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f28,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f30,f27]) ).
fof(f37,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f31,f2]) ).
fof(f50,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f52,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))
| ~ spl0_1 ),
inference(resolution,[],[f28,f4]) ).
fof(f95,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))
| ~ spl0_1 ),
inference(resolution,[],[f52,f4]) ).
fof(f103,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_1 ),
inference(resolution,[],[f95,f1]) ).
fof(f104,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(implies(X3,X1),implies(X4,X1))) )
| ~ spl0_1 ),
inference(resolution,[],[f103,f4]) ).
fof(f109,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),implies(X4,X0)))
| ~ spl0_1 ),
inference(resolution,[],[f104,f2]) ).
fof(f121,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_1 ),
inference(resolution,[],[f104,f103]) ).
fof(f141,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ spl0_1 ),
inference(resolution,[],[f109,f4]) ).
fof(f152,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X3,X1)),implies(X4,implies(X3,X1))))
| ~ spl0_1 ),
inference(resolution,[],[f141,f121]) ).
fof(f154,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X1,X2))) )
| ~ spl0_1 ),
inference(resolution,[],[f141,f1]) ).
fof(f163,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl0_1 ),
inference(resolution,[],[f154,f13]) ).
fof(f170,definition,
( spl0_6
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f171,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f163,f27,f170]) ).
fof(f183,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl0_6 ),
inference(resolution,[],[f171,f1]) ).
fof(f185,definition,
( spl0_7
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f186,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f187,plain,
( spl0_7
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f183,f170,f30,f185]) ).
fof(f193,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f186,f121]) ).
fof(f230,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,X1)))
| is_a_theorem(implies(X4,implies(X3,X1))) )
| ~ spl0_1 ),
inference(resolution,[],[f152,f1]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))))
| ~ spl0_1 ),
inference(resolution,[],[f230,f2]) ).
fof(f247,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) )
| ~ spl0_1 ),
inference(resolution,[],[f231,f1]) ).
fof(f249,definition,
( spl0_8
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f250,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f251,plain,
( spl0_8
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f247,f27,f30,f249]) ).
fof(f257,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2))))
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f250,f121]) ).
fof(f420,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X0,X1),X2)))
| is_a_theorem(implies(X3,implies(implies(X0,X1),X2))) )
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f257,f1]) ).
fof(f423,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f420,f193]) ).
fof(f458,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f423,f1]) ).
fof(f460,definition,
( spl0_9
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f461,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( spl0_9
| spl0_2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f458,f249,f185,f27,f30,f460]) ).
fof(f466,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f461,f3]) ).
fof(f475,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f466]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s8,plain,
~ spl0_2,
inference(sat_conversion,[],[f50]) ).
cnf(s17,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f173]) ).
cnf(s22,plain,
( spl0_2
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f187]) ).
cnf(s23,plain,
( ~ spl0_1
| spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f251]) ).
cnf(s24,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f462]) ).
cnf(s25,plain,
~ spl0_9,
inference(sat_conversion,[],[f475]) ).
cnf(s26,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s24,s25]) ).
cnf(s27,plain,
spl0_1,
inference(rat,[],[s1,s8]) ).
cnf(s28,plain,
spl0_8,
inference(rat,[],[s23,s8,s27]) ).
cnf(s29,plain,
spl0_6,
inference(rat,[],[s17,s27]) ).
cnf(s31,plain,
~ spl0_7,
inference(rat,[],[s26,s27,s8,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s22,s8,s31,s29]) ).
fof(f476,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:18:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 9.80/2.16 % (2538837)Input is clausal, will run a generic CNF schedule.
% 9.80/2.16 % (2538846)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1194191424:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.80/2.16 % (2538846)Refutation not found, incomplete strategy
% 9.80/2.16 % (2538846)------------------------------
% 9.80/2.16 % (2538846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538846)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538846)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.16 % (2538846)Time elapsed: 0.0000 s
% 9.80/2.16 % (2538846)Peak memory usage: 87 MB
% 9.80/2.16 % (2538842)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=1570266874:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.80/2.16 % (2538843)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1333372114:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.80/2.16 % (2538844)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3168148631:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.80/2.16 % (2538848)dis-21_1_sil=8000:lcm=predicate:random_seed=2224410928: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)
% 9.80/2.16 % (2538845)lrs+10_1_sil=8000:sp=occurrence:random_seed=1806441647:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.80/2.16 % (2538846)------------------------------
% 9.80/2.16 % (2538846)------------------------------
% 9.80/2.16 % (2538847)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=726585698:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.80/2.16 % (2538848)Instruction limit reached!
% 9.80/2.16 % (2538848)------------------------------
% 9.80/2.16 % (2538848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538848)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538848)Termination reason: Instruction limit
% 9.80/2.16 % (2538848)Termination phase: Saturation
% 9.80/2.16 % (2538848)Time elapsed: 0.105 s
% 9.80/2.16 % (2538848)Peak memory usage: 88 MB
% 9.80/2.16 % (2538848)Instructions burned: 117 (million)
% 9.80/2.16 % (2538845)Instruction limit reached!
% 9.80/2.16 % (2538845)------------------------------
% 9.80/2.16 % (2538845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538845)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538845)Termination reason: Instruction limit
% 9.80/2.16 % (2538845)Termination phase: Saturation
% 9.80/2.16 % (2538845)Time elapsed: 0.106 s
% 9.80/2.16 % (2538845)Peak memory usage: 89 MB
% 9.80/2.16 % (2538845)Instructions burned: 107 (million)
% 9.80/2.16 % (2538856)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=3678292792:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.80/2.16 % (2538856)Refutation not found, incomplete strategy
% 9.80/2.16 % (2538856)------------------------------
% 9.80/2.16 % (2538856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538856)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538856)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.16 % (2538856)Time elapsed: 0.0000 s
% 9.80/2.16 % (2538856)Peak memory usage: 87 MB
% 9.80/2.16 % (2538847)Instruction limit reached!
% 9.80/2.16 % (2538847)------------------------------
% 9.80/2.16 % (2538847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538847)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538847)Termination reason: Instruction limit
% 9.80/2.16 % (2538847)Termination phase: Saturation
% 9.80/2.16 % (2538847)Time elapsed: 0.177 s
% 9.80/2.16 % (2538847)Peak memory usage: 89 MB
% 9.80/2.16 % (2538847)Instructions burned: 180 (million)
% 9.80/2.16 % (2538856)------------------------------
% 9.80/2.16 % (2538856)------------------------------
% 9.80/2.16 % (2538858)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2910021453:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.80/2.16 % (2538858)Refutation not found, incomplete strategy
% 9.80/2.16 % (2538858)------------------------------
% 9.80/2.16 % (2538858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538858)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538858)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.16 % (2538858)Time elapsed: 0.001 s
% 9.80/2.16 % (2538858)Peak memory usage: 87 MB
% 9.80/2.16 % (2538860)lrs+10_64_to=lpo:sil=8000:random_seed=1563045148:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.80/2.16 % (2538857)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1570042903: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)
% 9.80/2.16 % (2538861)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=443362267:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.80/2.16 % (2538860)Instruction limit reached!
% 9.80/2.16 % (2538860)------------------------------
% 9.80/2.16 % (2538860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538860)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538860)Termination reason: Instruction limit
% 9.80/2.16 % (2538860)Termination phase: Saturation
% 9.80/2.16 % (2538860)Time elapsed: 0.089 s
% 9.80/2.16 % (2538860)Peak memory usage: 89 MB
% 9.80/2.16 % (2538860)Instructions burned: 126 (million)
% 9.80/2.16 % (2538861)Instruction limit reached!
% 9.80/2.16 % (2538861)------------------------------
% 9.80/2.16 % (2538861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538861)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538861)Termination reason: Instruction limit
% 9.80/2.16 % (2538861)Termination phase: Saturation
% 9.80/2.16 % (2538861)Time elapsed: 0.037 s
% 9.80/2.16 % (2538861)Peak memory usage: 87 MB
% 9.80/2.16 % (2538861)Instructions burned: 200 (million)
% 9.80/2.16 % (2538857)Instruction limit reached!
% 9.80/2.16 % (2538857)------------------------------
% 9.80/2.16 % (2538857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538857)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538857)Termination reason: Instruction limit
% 9.80/2.16 % (2538857)Termination phase: Saturation
% 9.80/2.16 % (2538857)Time elapsed: 0.153 s
% 9.80/2.16 % (2538857)Peak memory usage: 87 MB
% 9.80/2.16 % (2538857)Instructions burned: 190 (million)
% 9.80/2.16 % (2538867)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2315650073:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 9.80/2.16 % (2538866)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1074399589:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 9.80/2.16 % (2538858)------------------------------
% 9.80/2.16 % (2538858)------------------------------
% 9.80/2.16 % (2538866)Instruction limit reached!
% 9.80/2.16 % (2538866)------------------------------
% 9.80/2.16 % (2538866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.16 % (2538866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.16 % (2538866)CaDiCaL version: 2.1.3
% 9.80/2.16 % (2538866)Termination reason: Instruction limit
% 9.80/2.16 % (2538866)Termination phase: Saturation
% 9.80/2.16 % (2538866)Time elapsed: 0.162 s
% 9.80/2.16 % (2538866)Peak memory usage: 90 MB
% 9.80/2.16 % (2538866)Instructions burned: 157 (million)
% 9.80/2.16 % (2538868)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=932644835:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 9.80/2.16 % (2538871)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2891264265:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 9.80/2.16 % (2538871)Refutation not found, incomplete strategy
% 10.84/2.36 % (2538871)------------------------------
% 10.84/2.36 % (2538871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.36 % (2538871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.36 % (2538871)CaDiCaL version: 2.1.3
% 10.84/2.36 % (2538871)Termination reason: Refutation not found, incomplete strategy
% 10.84/2.36 % (2538871)Time elapsed: 0.001 s
% 10.84/2.36 % (2538871)Peak memory usage: 87 MB
% 10.84/2.36 % (2538868)Instruction limit reached!
% 10.84/2.36 % (2538868)------------------------------
% 10.84/2.36 % (2538868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.36 % (2538868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.36 % (2538868)CaDiCaL version: 2.1.3
% 10.84/2.36 % (2538868)Termination reason: Instruction limit
% 10.84/2.36 % (2538868)Termination phase: Saturation
% 10.84/2.36 % (2538868)Time elapsed: 0.097 s
% 10.84/2.36 % (2538868)Peak memory usage: 88 MB
% 10.84/2.36 % (2538868)Instructions burned: 106 (million)
% 10.84/2.36 % (2538867)First to succeed.
% 10.84/2.36 % (2538867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2538837"
% 10.84/2.36 % (2538872)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2200735015:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 10.84/2.36 % (2538875)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1666799074:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 10.84/2.36 % (2538842)Also succeeded, but the first one will report.
% 10.84/2.36 % (2538867)Refutation found. Thanks to Tanya!
% 10.84/2.36 % SZS status Unsatisfiable for theBenchmark
% 10.84/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 10.84/2.36 % (2538867)------------------------------
% 10.84/2.36 % (2538867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.36 % (2538867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.36 % (2538867)CaDiCaL version: 2.1.3
% 10.84/2.36 % (2538867)Termination reason: Refutation
% 10.84/2.36 % (2538867)Time elapsed: 0.379 s
% 10.84/2.36 % (2538867)Peak memory usage: 129 MB
% 10.84/2.36 % (2538867)Instructions burned: 1001 (million)
% 10.84/2.36 % (2538867)------------------------------
% 10.84/2.36 % (2538867)------------------------------
% 10.84/2.36 % (2538837)Success in time 1.499 s
% 10.84/2.36 % Vampire exiting
%------------------------------------------------------------------------------