%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL052-1 : 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 : n003.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 11:51:02 AM UTC 2026
% Result : Unsatisfiable 5.99s 1.82s
% Output : Refutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of formulae : 71 ( 27 unt; 4 def)
% Number of atoms : 127 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 60 ~; 55 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 161 !; 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(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_24) ).
fof(f6,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = implies(sF0,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
implies(sF0,a) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = implies(sF1,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
implies(sF1,a) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f11,f9,f7]) ).
fof(f13,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1,f2]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f13,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f45,f13]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f53,f2]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f53,f13]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2)))) ),
inference(resolution,[],[f63,f45]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f3,f64]) ).
fof(f93,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3,f45]) ).
fof(f98,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
inference(resolution,[],[f92,f4]) ).
fof(f102,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f98,f92]) ).
fof(f119,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[],[f93,f13]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f93,f63]) ).
fof(f155,plain,
( is_a_theorem(implies(sF1,a))
| ~ is_a_theorem(implies(not(a),sF0)) ),
inference(superposition,[],[f119,f9]) ).
fof(f156,plain,
( is_a_theorem(sF2)
| ~ is_a_theorem(implies(not(a),sF0)) ),
inference(forward_demodulation,[],[f155,f11]) ).
fof(f175,plain,
~ is_a_theorem(implies(not(a),sF0)),
inference(forward_subsumption_resolution,[],[f156,f12]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2)))) ),
inference(resolution,[],[f76,f4]) ).
fof(f206,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f191,f4]) ).
fof(f219,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f206,f92]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[],[f219,f45]) ).
fof(f234,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f229,f2]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f229,f13]) ).
fof(f267,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f236,f234]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f267,f1]) ).
fof(f287,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))),
inference(resolution,[],[f280,f2]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f287,f1]) ).
fof(f352,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X3,X2)) ),
inference(resolution,[],[f335,f1]) ).
fof(f356,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f352,f3]) ).
fof(f380,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f356,f120]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f380,f280]) ).
fof(f412,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f393,f3]) ).
fof(f436,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f412,f45]) ).
fof(f453,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(resolution,[],[f436,f45]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),implies(X4,X3))) ),
inference(resolution,[],[f453,f2]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,implies(X3,X2))) ),
inference(resolution,[],[f453,f412]) ).
fof(f536,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f488,f267]) ).
fof(f552,definition,
( spl3_11
<=> ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f553,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,plain,
spl3_11,
inference(avatar_split_clause,[],[f536,f552]) ).
fof(f560,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl3_11 ),
inference(resolution,[],[f553,f92]) ).
fof(f587,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X0,implies(X2,X3))) )
| ~ spl3_11 ),
inference(resolution,[],[f560,f45]) ).
fof(f588,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_11 ),
inference(resolution,[],[f560,f1]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl3_11 ),
inference(resolution,[],[f587,f13]) ).
fof(f618,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_11 ),
inference(resolution,[],[f587,f356]) ).
fof(f845,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl3_11 ),
inference(resolution,[],[f618,f3]) ).
fof(f895,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))
| ~ spl3_11 ),
inference(resolution,[],[f845,f597]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) )
| ~ spl3_11 ),
inference(resolution,[],[f895,f1]) ).
fof(f948,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))
| ~ spl3_11 ),
inference(resolution,[],[f940,f102]) ).
fof(f987,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl3_11 ),
inference(resolution,[],[f948,f120]) ).
fof(f1009,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0))))
| ~ spl3_11 ),
inference(resolution,[],[f987,f472]) ).
fof(f1061,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl3_11 ),
inference(resolution,[],[f1009,f93]) ).
fof(f1079,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl3_11 ),
inference(resolution,[],[f1061,f588]) ).
fof(f1096,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1)))
| ~ spl3_11 ),
inference(resolution,[],[f1079,f229]) ).
fof(f1406,plain,
( is_a_theorem(implies(not(a),sF0))
| ~ spl3_11 ),
inference(superposition,[],[f1096,f7]) ).
fof(f1408,plain,
( $false
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f1406,f175]) ).
fof(f1409,plain,
~ spl3_11,
inference(avatar_contradiction_clause,[],[f1408]) ).
cnf(s8,plain,
spl3_11,
inference(sat_conversion,[],[f555]) ).
cnf(s12,plain,
~ spl3_11,
inference(sat_conversion,[],[f1409]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s8,s12]) ).
fof(f1410,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n003.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 15:20:41 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 5.99/1.82 % (689698)Input is clausal, will run a generic CNF schedule.
% 5.99/1.82 % (689727)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=1496308265:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.99/1.82 % (689728)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4093859424:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.99/1.82 % (689732)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=997229371:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.99/1.82 % (689730)lrs+10_1_sil=8000:sp=occurrence:random_seed=3905005024:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.99/1.82 % (689731)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4220160844:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.99/1.82 % (689729)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2485565000:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.99/1.82 % (689733)dis-21_1_sil=8000:lcm=predicate:random_seed=96532365: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)
% 5.99/1.82 % (689731)Instruction limit reached!
% 5.99/1.82 % (689731)------------------------------
% 5.99/1.82 % (689731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689731)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689731)Termination reason: Instruction limit
% 5.99/1.82 % (689731)Termination phase: Saturation
% 5.99/1.82 % (689731)Time elapsed: 0.067 s
% 5.99/1.82 % (689731)Peak memory usage: 88 MB
% 5.99/1.82 % (689731)Instructions burned: 115 (million)
% 5.99/1.82 % (689730)Instruction limit reached!
% 5.99/1.82 % (689730)------------------------------
% 5.99/1.82 % (689730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689730)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689730)Termination reason: Instruction limit
% 5.99/1.82 % (689730)Termination phase: Saturation
% 5.99/1.82 % (689730)Time elapsed: 0.073 s
% 5.99/1.82 % (689730)Peak memory usage: 89 MB
% 5.99/1.82 % (689730)Instructions burned: 108 (million)
% 5.99/1.82 % (689733)Instruction limit reached!
% 5.99/1.82 % (689733)------------------------------
% 5.99/1.82 % (689733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689733)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689733)Termination reason: Instruction limit
% 5.99/1.82 % (689733)Termination phase: Saturation
% 5.99/1.82 % (689733)Time elapsed: 0.071 s
% 5.99/1.82 % (689733)Peak memory usage: 88 MB
% 5.99/1.82 % (689733)Instructions burned: 118 (million)
% 5.99/1.82 % (689732)Instruction limit reached!
% 5.99/1.82 % (689732)------------------------------
% 5.99/1.82 % (689732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689732)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689732)Termination reason: Instruction limit
% 5.99/1.82 % (689732)Termination phase: Saturation
% 5.99/1.82 % (689732)Time elapsed: 0.122 s
% 5.99/1.82 % (689732)Peak memory usage: 89 MB
% 5.99/1.82 % (689732)Instructions burned: 180 (million)
% 5.99/1.82 % (689744)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=714376830:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.99/1.82 % (689745)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=67409707: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)
% 5.99/1.82 % (689744)Refutation not found, incomplete strategy
% 5.99/1.82 % (689744)------------------------------
% 5.99/1.82 % (689744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689744)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689744)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.82 % (689744)Time elapsed: 0.001 s
% 5.99/1.82 % (689744)Peak memory usage: 87 MB
% 5.99/1.82 % (689746)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3978393178:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.99/1.82 % (689746)Refutation not found, incomplete strategy
% 5.99/1.82 % (689746)------------------------------
% 5.99/1.82 % (689746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689746)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689746)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.82 % (689746)Time elapsed: 0.001 s
% 5.99/1.82 % (689746)Peak memory usage: 87 MB
% 5.99/1.82 % (689747)lrs+10_64_to=lpo:sil=8000:random_seed=2097040865:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.99/1.82 % (689745)Instruction limit reached!
% 5.99/1.82 % (689745)------------------------------
% 5.99/1.82 % (689745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689745)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689745)Termination reason: Instruction limit
% 5.99/1.82 % (689745)Termination phase: Saturation
% 5.99/1.82 % (689745)Time elapsed: 0.108 s
% 5.99/1.82 % (689745)Peak memory usage: 88 MB
% 5.99/1.82 % (689745)Instructions burned: 190 (million)
% 5.99/1.82 % (689747)Instruction limit reached!
% 5.99/1.82 % (689747)------------------------------
% 5.99/1.82 % (689747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689747)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689747)Termination reason: Instruction limit
% 5.99/1.82 % (689747)Termination phase: Saturation
% 5.99/1.82 % (689747)Time elapsed: 0.077 s
% 5.99/1.82 % (689747)Peak memory usage: 88 MB
% 5.99/1.82 % (689747)Instructions burned: 127 (million)
% 5.99/1.82 % (689744)------------------------------
% 5.99/1.82 % (689744)------------------------------
% 5.99/1.82 % (689753)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=387952419:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.99/1.82 % (689746)------------------------------
% 5.99/1.82 % (689746)------------------------------
% 5.99/1.82 % (689727)First to succeed.
% 5.99/1.82 % (689727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-689698"
% 5.99/1.82 % (689754)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1693938840:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.99/1.82 % (689773)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3948148316:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.99/1.82 % (689753)Instruction limit reached!
% 5.99/1.82 % (689753)------------------------------
% 5.99/1.82 % (689753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689753)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689753)Termination reason: Instruction limit
% 5.99/1.82 % (689753)Termination phase: Saturation
% 5.99/1.82 % (689753)Time elapsed: 0.133 s
% 5.99/1.82 % (689753)Peak memory usage: 89 MB
% 5.99/1.82 % (689753)Instructions burned: 195 (million)
% 5.99/1.82 % (689754)Instruction limit reached!
% 5.99/1.82 % (689754)------------------------------
% 5.99/1.82 % (689754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (689754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (689754)CaDiCaL version: 2.1.3
% 5.99/1.82 % (689754)Termination reason: Instruction limit
% 5.99/1.82 % (689754)Termination phase: Saturation
% 5.99/1.82 % (689754)Time elapsed: 0.106 s
% 5.99/1.82 % (689754)Peak memory usage: 90 MB
% 5.99/1.82 % (689754)Instructions burned: 157 (million)
% 5.99/1.82 % (689784)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=179330144:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.99/1.82 % (689727)Refutation found. Thanks to Tanya!
% 5.99/1.82 % SZS status Unsatisfiable for theBenchmark
% 5.99/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 6.60/2.01 % (689727)------------------------------
% 6.60/2.01 % (689727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.01 % (689727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.01 % (689727)CaDiCaL version: 2.1.3
% 6.60/2.01 % (689727)Termination reason: Refutation
% 6.60/2.01 % (689727)Time elapsed: 0.529 s
% 6.60/2.01 % (689727)Peak memory usage: 132 MB
% 6.60/2.01 % (689727)Instructions burned: 1296 (million)
% 6.60/2.01 % (689727)------------------------------
% 6.60/2.01 % (689727)------------------------------
% 6.60/2.01 % (689698)Success in time 0.839 s
% 6.60/2.01 % Vampire exiting
%------------------------------------------------------------------------------