%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL342-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:52:02 AM UTC 2026
% Result : Unsatisfiable 27.07s 5.18s
% Output : Refutation 30.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 89 ( 36 unt; 4 def)
% Number of atoms : 158 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 136 ( 67 ~; 65 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 150 ( 0 sgn 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(implies(p,equivalent(q,equivalent(p,q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
~ theorem(or(not(p),not(or(not(or(not(q),not(or(not(or(not(p),q)),not(or(not(q),p)))))),not(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),q)))))),
inference(definition_unfolding,[],[f11,f6,f12,f12]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f19,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f20,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f21,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f25,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f14,f20]) ).
fof(f26,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f21]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f25,f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f23,f14]) ).
fof(f30,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f29,f20]) ).
fof(f35,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f30,f14]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f28,f21]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f28,f25]) ).
fof(f54,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f45,f22]) ).
fof(f58,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f54,f29]) ).
fof(f60,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f24,f28]) ).
fof(f69,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f60,f54]) ).
fof(f76,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f69,f26]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f35,f28]) ).
fof(f97,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f46,f21]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f46,f20]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f46,f30]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f46,f23]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f99,f14]) ).
fof(f162,plain,
! [X0,X1] : theorem(or(or(not(X0),X1),X0)),
inference(resolution,[],[f58,f26]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f97,f14]) ).
fof(f169,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f97,f60]) ).
fof(f171,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f169,f109]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f101,f14]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f261,f21]) ).
fof(f357,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f165,f76]) ).
fof(f427,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),or(X2,X0)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f85,f21]) ).
fof(f433,plain,
! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f85,f54]) ).
fof(f459,plain,
! [X2,X0,X1] :
( theorem(or(not(not(X1)),or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f433,f45]) ).
fof(f520,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f427,f60]) ).
fof(f627,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f357,f26]) ).
fof(f636,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(not(not(X0)),X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f627,f29]) ).
fof(f728,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(not(X3),X1)),X2))
| ~ theorem(or(X0,X3)) ),
inference(resolution,[],[f100,f14]) ).
fof(f740,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),not(X1))),X2))
| ~ theorem(or(X2,X0))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f728,f520]) ).
fof(f797,plain,
! [X2,X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X2)))))
| ~ theorem(or(X0,X2))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f740,f26]) ).
fof(f1611,plain,
( ~ theorem(or(not(p),or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),q)))
| ~ theorem(or(not(p),or(not(q),not(or(not(or(not(p),q)),not(or(not(q),p))))))) ),
inference(resolution,[],[f797,f13]) ).
fof(f1615,definition,
( spl0_6
<=> theorem(or(not(p),or(not(q),not(or(not(or(not(p),q)),not(or(not(q),p))))))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1617,plain,
( ~ theorem(or(not(p),or(not(q),not(or(not(or(not(p),q)),not(or(not(q),p)))))))
| spl0_6 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1619,definition,
( spl0_7
<=> theorem(or(not(p),or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),q))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1621,plain,
( ~ theorem(or(not(p),or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),q)))
| spl0_7 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1622,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1611,f1619,f1615]) ).
fof(f2510,plain,
! [X2,X3,X0,X1] :
( theorem(or(X1,or(X2,not(or(X0,X3)))))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f171,f274]) ).
fof(f2599,plain,
( ~ theorem(or(not(not(or(not(q),p))),or(not(p),not(q))))
| ~ theorem(or(not(not(or(not(p),q))),or(not(p),not(q))))
| spl0_6 ),
inference(resolution,[],[f2510,f1617]) ).
fof(f2617,definition,
( spl0_11
<=> theorem(or(not(not(or(not(p),q))),or(not(p),not(q)))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f2619,plain,
( ~ theorem(or(not(not(or(not(p),q))),or(not(p),not(q))))
| spl0_11 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f2621,definition,
( spl0_12
<=> theorem(or(not(not(or(not(q),p))),or(not(p),not(q)))) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f2623,plain,
( ~ theorem(or(not(not(or(not(q),p))),or(not(p),not(q))))
| spl0_12 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f2624,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f2599,f1615,f2621,f2617]) ).
fof(f2628,plain,
( ~ theorem(or(not(q),or(not(p),q)))
| spl0_11 ),
inference(resolution,[],[f2619,f459]) ).
fof(f2642,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f2628,f22]) ).
fof(f2643,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f2642]) ).
fof(f2652,plain,
( ~ theorem(or(not(p),or(not(q),p)))
| spl0_12 ),
inference(resolution,[],[f2623,f433]) ).
fof(f2669,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f2652,f22]) ).
fof(f2670,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f2669]) ).
fof(f2719,plain,
( ~ theorem(or(or(not(or(not(p),q)),not(or(not(q),p))),or(not(p),q)))
| spl0_7 ),
inference(resolution,[],[f1621,f636]) ).
fof(f2723,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2719,f162]) ).
fof(f2724,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f2723]) ).
cnf(s28,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s32,plain,
( spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s35,plain,
spl0_11,
inference(sat_conversion,[],[f2643]) ).
cnf(s42,plain,
spl0_12,
inference(sat_conversion,[],[f2670]) ).
cnf(s50,plain,
spl0_7,
inference(sat_conversion,[],[f2724]) ).
cnf(s51,plain,
spl0_6,
inference(rat,[],[s32,s42,s35]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s28,s50,s51]) ).
fof(f2725,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL342-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n005.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 15:35:32 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 Running first-order theorem proving
% 0.22/0.47 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
% 22.37/4.10 % (4150399)Input is clausal, will run a generic CNF schedule.
% 22.37/4.10 % (4150405)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3437008086:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 22.37/4.10 % (4150404)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=378775826:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 22.37/4.10 % (4150408)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1130572407:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 22.37/4.10 % (4150407)lrs+10_1_sil=8000:sp=occurrence:random_seed=1927643435:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 22.37/4.10 % (4150409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2509276071:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 22.37/4.10 % (4150406)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=268748508:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 22.37/4.10 % (4150410)dis-21_1_sil=8000:lcm=predicate:random_seed=433267080: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)
% 22.37/4.10 % (4150408)Instruction limit reached!
% 22.37/4.10 % (4150408)------------------------------
% 22.37/4.10 % (4150408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.37/4.10 % (4150408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.37/4.10 % (4150408)CaDiCaL version: 2.1.3
% 22.37/4.10 % (4150408)Termination reason: Instruction limit
% 22.37/4.10 % (4150408)Termination phase: Saturation
% 22.37/4.10 % (4150408)Time elapsed: 0.114 s
% 22.37/4.10 % (4150408)Peak memory usage: 88 MB
% 22.37/4.10 % (4150408)Instructions burned: 114 (million)
% 22.37/4.10 % (4150407)Instruction limit reached!
% 22.37/4.10 % (4150407)------------------------------
% 22.37/4.10 % (4150407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.37/4.10 % (4150407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.37/4.10 % (4150407)CaDiCaL version: 2.1.3
% 22.37/4.10 % (4150407)Termination reason: Instruction limit
% 22.37/4.10 % (4150407)Termination phase: Saturation
% 22.37/4.10 % (4150407)Time elapsed: 0.115 s
% 22.37/4.10 % (4150407)Peak memory usage: 89 MB
% 22.37/4.10 % (4150407)Instructions burned: 107 (million)
% 22.37/4.10 % (4150410)Instruction limit reached!
% 22.37/4.10 % (4150410)------------------------------
% 22.37/4.10 % (4150410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.37/4.10 % (4150410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.37/4.10 % (4150410)CaDiCaL version: 2.1.3
% 22.37/4.10 % (4150410)Termination reason: Instruction limit
% 22.37/4.10 % (4150410)Termination phase: Saturation
% 22.37/4.10 % (4150410)Time elapsed: 0.100 s
% 22.37/4.10 % (4150410)Peak memory usage: 87 MB
% 22.37/4.10 % (4150410)Instructions burned: 118 (million)
% 22.37/4.10 % (4150409)Instruction limit reached!
% 22.37/4.10 % (4150409)------------------------------
% 22.37/4.10 % (4150409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.37/4.10 % (4150409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.37/4.10 % (4150409)CaDiCaL version: 2.1.3
% 22.37/4.10 % (4150409)Termination reason: Instruction limit
% 22.37/4.10 % (4150409)Termination phase: Saturation
% 22.37/4.10 % (4150409)Time elapsed: 0.185 s
% 22.37/4.10 % (4150409)Peak memory usage: 89 MB
% 22.37/4.10 % (4150409)Instructions burned: 181 (million)
% 22.37/4.10 % (4150418)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=3399620574:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 22.37/4.10 % (4150418)Refutation not found, incomplete strategy
% 22.37/4.10 % (4150418)------------------------------
% 22.37/4.10 % (4150418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.37/4.10 % (4150418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.37/4.10 % (4150418)CaDiCaL version: 2.1.3
% 22.37/4.10 % (4150418)Termination reason: Refutation not found, incomplete strategy
% 22.37/4.10 % (4150418)Time elapsed: 0.002 s
% 22.37/4.10 % (4150418)Peak memory usage: 88 MB
% 22.37/4.10 % (4150420)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=705626276:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 27.07/5.18 % (4150420)Refutation not found, incomplete strategy
% 27.07/5.18 % (4150420)------------------------------
% 27.07/5.18 % (4150420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150420)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150420)Termination reason: Refutation not found, incomplete strategy
% 27.07/5.18 % (4150420)Time elapsed: 0.002 s
% 27.07/5.18 % (4150420)Peak memory usage: 88 MB
% 27.07/5.18 % (4150419)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1232656620:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 27.07/5.18 % (4150421)lrs+10_64_to=lpo:sil=8000:random_seed=2501240384:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 27.07/5.18 % (4150419)Refutation not found, incomplete strategy
% 27.07/5.18 % (4150419)------------------------------
% 27.07/5.18 % (4150419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150419)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150419)Termination reason: Refutation not found, incomplete strategy
% 27.07/5.18 % (4150419)Time elapsed: 0.002 s
% 27.07/5.18 % (4150419)Peak memory usage: 87 MB
% 27.07/5.18 % (4150421)Instruction limit reached!
% 27.07/5.18 % (4150421)------------------------------
% 27.07/5.18 % (4150421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150421)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150421)Termination reason: Instruction limit
% 27.07/5.18 % (4150421)Termination phase: Saturation
% 27.07/5.18 % (4150421)Time elapsed: 0.120 s
% 27.07/5.18 % (4150421)Peak memory usage: 88 MB
% 27.07/5.18 % (4150421)Instructions burned: 126 (million)
% 27.07/5.18 % (4150418)------------------------------
% 27.07/5.18 % (4150418)------------------------------
% 27.07/5.18 % (4150420)------------------------------
% 27.07/5.18 % (4150420)------------------------------
% 27.07/5.18 % (4150419)------------------------------
% 27.07/5.18 % (4150419)------------------------------
% 27.07/5.18 % (4150426)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=82494841:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 27.07/5.18 % (4150426)Instruction limit reached!
% 27.07/5.18 % (4150426)------------------------------
% 27.07/5.18 % (4150426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150426)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150426)Termination reason: Instruction limit
% 27.07/5.18 % (4150426)Termination phase: Saturation
% 27.07/5.18 % (4150426)Time elapsed: 0.203 s
% 27.07/5.18 % (4150426)Peak memory usage: 90 MB
% 27.07/5.18 % (4150426)Instructions burned: 194 (million)
% 27.07/5.18 % (4150427)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=578815413:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 27.07/5.18 % (4150429)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=1210331039:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 27.07/5.18 % (4150428)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2558134246:i=3394:sd=4:ss=included:sgt=64_2988 on theBenchmark for (2988ds/3394Mi)
% 27.07/5.18 % (4150429)Instruction limit reached!
% 27.07/5.18 % (4150429)------------------------------
% 27.07/5.18 % (4150429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150429)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150429)Termination reason: Instruction limit
% 27.07/5.18 % (4150429)Termination phase: Saturation
% 27.07/5.18 % (4150429)Time elapsed: 0.088 s
% 27.07/5.18 % (4150429)Peak memory usage: 88 MB
% 27.07/5.18 % (4150429)Instructions burned: 106 (million)
% 27.07/5.18 % (4150427)Instruction limit reached!
% 27.07/5.18 % (4150427)------------------------------
% 27.07/5.18 % (4150427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150427)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150427)Termination reason: Instruction limit
% 27.07/5.18 % (4150427)Termination phase: Saturation
% 27.07/5.18 % (4150427)Time elapsed: 0.166 s
% 27.07/5.18 % (4150427)Peak memory usage: 91 MB
% 27.07/5.18 % (4150427)Instructions burned: 158 (million)
% 27.07/5.18 % (4150435)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4152188041:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2985 on theBenchmark for (2985ds/242Mi)
% 27.07/5.18 % (4150431)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2202154376:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 27.07/5.18 % (4150431)Refutation not found, incomplete strategy
% 27.07/5.18 % (4150431)------------------------------
% 27.07/5.18 % (4150431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150431)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150431)Termination reason: Refutation not found, incomplete strategy
% 27.07/5.18 % (4150431)Time elapsed: 0.002 s
% 27.07/5.18 % (4150431)Peak memory usage: 87 MB
% 27.07/5.18 % (4150436)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4226809087:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 27.07/5.18 % (4150435)Instruction limit reached!
% 27.07/5.18 % (4150435)------------------------------
% 27.07/5.18 % (4150435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150435)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150435)Termination reason: Instruction limit
% 27.07/5.18 % (4150435)Termination phase: Saturation
% 27.07/5.18 % (4150435)Time elapsed: 0.248 s
% 27.07/5.18 % (4150435)Peak memory usage: 90 MB
% 27.07/5.18 % (4150435)Instructions burned: 242 (million)
% 27.07/5.18 % (4150431)------------------------------
% 27.07/5.18 % (4150431)------------------------------
% 27.07/5.18 % (4150440)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1050009783:i=134:sd=2:doe=on:ss=axioms:sgt=14_2980 on theBenchmark for (2980ds/134Mi)
% 27.07/5.18 % (4150440)Instruction limit reached!
% 27.07/5.18 % (4150440)------------------------------
% 27.07/5.18 % (4150440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150440)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150440)Termination reason: Instruction limit
% 27.07/5.18 % (4150440)Termination phase: Saturation
% 27.07/5.18 % (4150440)Time elapsed: 0.133 s
% 27.07/5.18 % (4150440)Peak memory usage: 89 MB
% 27.07/5.18 % (4150440)Instructions burned: 134 (million)
% 27.07/5.18 % (4150441)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4006381528:i=499:bd=all_2977 on theBenchmark for (2977ds/499Mi)
% 27.07/5.18 % (4150443)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=527041280:i=191:fgj=on:bd=all_2975 on theBenchmark for (2975ds/191Mi)
% 27.07/5.18 % (4150443)Instruction limit reached!
% 27.07/5.18 % (4150443)------------------------------
% 27.07/5.18 % (4150443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150443)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150443)Termination reason: Instruction limit
% 27.07/5.18 % (4150443)Termination phase: Saturation
% 27.07/5.18 % (4150443)Time elapsed: 0.198 s
% 27.07/5.18 % (4150443)Peak memory usage: 93 MB
% 27.07/5.18 % (4150443)Instructions burned: 191 (million)
% 27.07/5.18 % (4150441)Instruction limit reached!
% 27.07/5.18 % (4150441)------------------------------
% 27.07/5.18 % (4150441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150441)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150441)Termination reason: Instruction limit
% 27.07/5.18 % (4150441)Termination phase: Saturation
% 27.07/5.18 % (4150441)Time elapsed: 0.500 s
% 27.07/5.18 % (4150441)Peak memory usage: 94 MB
% 27.07/5.18 % (4150441)Instructions burned: 499 (million)
% 27.07/5.18 % (4150446)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=167957860:i=264:kws=precedence:fsr=off_2971 on theBenchmark for (2971ds/264Mi)
% 27.07/5.18 % (4150447)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1716502882:cond=on:i=156:bs=on:gtg=exists_all:er=known_2969 on theBenchmark for (2969ds/156Mi)
% 27.07/5.18 % (4150446)Instruction limit reached!
% 27.07/5.18 % (4150446)------------------------------
% 27.07/5.18 % (4150446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150446)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150446)Termination reason: Instruction limit
% 27.07/5.18 % (4150446)Termination phase: Saturation
% 27.07/5.18 % (4150446)Time elapsed: 0.250 s
% 27.07/5.18 % (4150446)Peak memory usage: 92 MB
% 27.07/5.18 % (4150446)Instructions burned: 265 (million)
% 27.07/5.18 % (4150447)Instruction limit reached!
% 27.07/5.18 % (4150447)------------------------------
% 27.07/5.18 % (4150447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.07/5.18 % (4150447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.07/5.18 % (4150447)CaDiCaL version: 2.1.3
% 27.07/5.18 % (4150447)Termination reason: Instruction limit
% 27.07/5.18 % (4150447)Termination phase: Saturation
% 27.07/5.18 % (4150447)Time elapsed: 0.154 s
% 27.07/5.18 % (4150447)Peak memory usage: 88 MB
% 27.07/5.18 % (4150447)Instructions burned: 156 (million)
% 27.07/5.18 % (4150450)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3594214438:i=3256:kws=precedence:bd=preordered:av=off_2965 on theBenchmark for (2965ds/3256Mi)
% 27.07/5.18 % (4150428)First to succeed.
% 27.07/5.18 % (4150428)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4150399"
% 27.07/5.18 % (4150451)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1139432323:i=537:av=off:ss=included_2965 on theBenchmark for (2965ds/537Mi)
% 27.07/5.18 % (4150404)Also succeeded, but the first one will report.
% 27.07/5.18 % (4150428)Refutation found. Thanks to Tanya!
% 27.07/5.18 % SZS status Unsatisfiable for theBenchmark
% 27.07/5.18 % SZS output start Proof for theBenchmark
% See solution above
% 30.62/5.49 % (4150428)------------------------------
% 30.62/5.49 % (4150428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.62/5.49 % (4150428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/5.49 % (4150428)CaDiCaL version: 2.1.3
% 30.62/5.49 % (4150428)Termination reason: Refutation
% 30.62/5.49 % (4150428)Time elapsed: 2.334 s
% 30.62/5.49 % (4150428)Peak memory usage: 136 MB
% 30.62/5.49 % (4150428)Instructions burned: 1709 (million)
% 30.62/5.49 % (4150428)------------------------------
% 30.62/5.49 % (4150428)------------------------------
% 30.62/5.49 % (4150399)Success in time 4.239 s
% 30.62/5.49 % Vampire exiting
%------------------------------------------------------------------------------