%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL167-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:51:23 AM UTC 2026
% Result : Unsatisfiable 20.25s 4.00s
% Output : Refutation 21.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of formulae : 73 ( 9 unt; 4 def)
% Number of atoms : 247 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 346 ( 172 ~; 170 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn 154 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xhk) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yro) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f5,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X2),X1))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(resolution,[],[f5,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X0,X3),X2))))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2)
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f7,f4]) ).
fof(f21,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f17,f4]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X3,X4),equivalent(equivalent(X2,X4),X3))),X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f21,f17]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f18,f2]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f26,f5]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X3,X4),equivalent(equivalent(X1,X4),X3))) ),
inference(resolution,[],[f25,f26]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X2) ),
inference(forward_subsumption_resolution,[],[f34,f4]) ).
fof(f44,definition,
( spl0_3
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f45,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f58,definition,
( spl0_7
<=> ! [X5,X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(X5)
| ~ is_a_theorem(equivalent(X5,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f59,plain,
( ! [X0,X5] :
( ~ is_a_theorem(equivalent(X5,X0))
| is_a_theorem(X5)
| ~ is_a_theorem(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f58,f44]) ).
fof(f65,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f45,f2]) ).
fof(f67,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f71,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1)))
| is_a_theorem(X0) )
| ~ spl0_7 ),
inference(resolution,[],[f59,f2]) ).
fof(f72,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl0_7 ),
inference(resolution,[],[f59,f4]) ).
fof(f81,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| ~ is_a_theorem(X2) )
| ~ spl0_7 ),
inference(resolution,[],[f72,f2]) ).
fof(f84,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X2),X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) )
| ~ spl0_7 ),
inference(resolution,[],[f81,f26]) ).
fof(f94,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0) )
| ~ spl0_7 ),
inference(resolution,[],[f84,f4]) ).
fof(f103,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),X2))
| ~ is_a_theorem(X1) )
| ~ spl0_7 ),
inference(resolution,[],[f94,f72]) ).
fof(f110,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),X2)) )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f112,definition,
( spl0_8
<=> ! [X2,X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X2),X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f113,plain,
( ! [X2,X0] :
( is_a_theorem(equivalent(equivalent(X0,X2),X2))
| ~ is_a_theorem(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( spl0_3
| spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f110,f58,f112,f44]) ).
fof(f116,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f113,f72]) ).
fof(f118,plain,
( ! [X0,X1] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f113,f59]) ).
fof(f123,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f125,definition,
( spl0_9
<=> ! [X1] : is_a_theorem(equivalent(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f126,plain,
( ! [X1] : is_a_theorem(equivalent(X1,X1))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( spl0_9
| spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f123,f112,f58,f44,f125]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X3)
| ~ is_a_theorem(equivalent(X3,X2)) ),
inference(resolution,[],[f31,f2]) ).
fof(f332,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f118,f71]) ).
fof(f385,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| is_a_theorem(X2) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f332,f2]) ).
fof(f393,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X0,X1),X2),X3)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X3,X2)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f385,f5]) ).
fof(f442,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2))
| is_a_theorem(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f393,f2]) ).
fof(f454,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X1)))
| is_a_theorem(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f442,f113]) ).
fof(f457,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f442,f5]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f457,f2]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f469,f5]) ).
fof(f496,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f489,f126]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X0,X3),X2))))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f489,f2]) ).
fof(f521,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)),X2))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f496,f2]) ).
fof(f547,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X2)))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f506,f454]) ).
fof(f555,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1))
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f547,f2]) ).
fof(f583,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
| is_a_theorem(X1) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f555,f1]) ).
fof(f846,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f521,f583]) ).
fof(f887,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1)))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f846,f496]) ).
fof(f898,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f887,f179]) ).
fof(f939,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),X1),X0)))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f898,f521]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(X0,X0),X1)) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f939,f457]) ).
fof(f1091,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X2))) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f1073,f506]) ).
fof(f1195,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X2),X1)) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f1091,f442]) ).
fof(f1231,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X2,X1)))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f1195,f2]) ).
fof(f1284,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0))))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f1231,f496]) ).
fof(f1341,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f1284,f3]) ).
fof(f1365,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1341]) ).
cnf(s5,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f61]) ).
cnf(s6,plain,
~ spl0_3,
inference(sat_conversion,[],[f67]) ).
cnf(s7,plain,
( spl0_3
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s8,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f127]) ).
cnf(s27,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s30,plain,
spl0_7,
inference(rat,[],[s5,s6]) ).
cnf(s31,plain,
spl0_8,
inference(rat,[],[s7,s6,s30]) ).
cnf(s32,plain,
~ spl0_9,
inference(rat,[],[s27,s30,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s8,s30,s6,s32,s31]) ).
fof(f1366,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL167-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 15:24:15 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.25/3.92 % (2547560)Input is clausal, will run a generic CNF schedule.
% 20.25/3.92 % (2547571)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=826990866:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.25/3.92 % (2547575)dis-21_1_sil=8000:lcm=predicate:random_seed=3564237720: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)
% 20.25/3.92 % (2547573)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2260488233:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.25/3.92 % (2547569)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=1059333212:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.25/3.92 % (2547572)lrs+10_1_sil=8000:sp=occurrence:random_seed=2374763628:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.25/3.92 % (2547570)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2814667334:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.25/3.92 % (2547574)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=264025332:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.25/3.92 % (2547575)Instruction limit reached!
% 20.25/3.92 % (2547575)------------------------------
% 20.25/3.92 % (2547575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.92 % (2547575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.92 % (2547575)CaDiCaL version: 2.1.3
% 20.25/3.92 % (2547575)Termination reason: Instruction limit
% 20.25/3.92 % (2547575)Termination phase: Saturation
% 20.25/3.92 % (2547575)Time elapsed: 0.094 s
% 20.25/3.92 % (2547575)Peak memory usage: 88 MB
% 20.25/3.92 % (2547575)Instructions burned: 117 (million)
% 20.25/3.92 % (2547572)Instruction limit reached!
% 20.25/3.92 % (2547572)------------------------------
% 20.25/3.92 % (2547572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.92 % (2547572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.92 % (2547572)CaDiCaL version: 2.1.3
% 20.25/3.92 % (2547572)Termination reason: Instruction limit
% 20.25/3.92 % (2547572)Termination phase: Saturation
% 20.25/3.92 % (2547572)Time elapsed: 0.103 s
% 20.25/3.92 % (2547572)Peak memory usage: 88 MB
% 20.25/3.92 % (2547572)Instructions burned: 107 (million)
% 20.25/3.92 % (2547573)Instruction limit reached!
% 20.25/3.92 % (2547573)------------------------------
% 20.25/3.92 % (2547573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.92 % (2547573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.92 % (2547573)CaDiCaL version: 2.1.3
% 20.25/3.92 % (2547573)Termination reason: Instruction limit
% 20.25/3.92 % (2547573)Termination phase: Saturation
% 20.25/3.92 % (2547573)Time elapsed: 0.115 s
% 20.25/3.92 % (2547573)Peak memory usage: 88 MB
% 20.25/3.92 % (2547573)Instructions burned: 114 (million)
% 20.25/3.92 % (2547574)Instruction limit reached!
% 20.25/3.92 % (2547574)------------------------------
% 20.25/3.92 % (2547574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.92 % (2547574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.92 % (2547574)CaDiCaL version: 2.1.3
% 20.25/3.92 % (2547574)Termination reason: Instruction limit
% 20.25/3.92 % (2547574)Termination phase: Saturation
% 20.25/3.92 % (2547574)Time elapsed: 0.183 s
% 20.25/3.92 % (2547574)Peak memory usage: 89 MB
% 20.25/3.92 % (2547574)Instructions burned: 180 (million)
% 20.25/3.92 % (2547583)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=759540478:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 20.25/3.92 % (2547583)Refutation not found, incomplete strategy
% 20.25/3.92 % (2547583)------------------------------
% 20.25/3.92 % (2547583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.92 % (2547583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.92 % (2547583)CaDiCaL version: 2.1.3
% 20.25/3.92 % (2547583)Termination reason: Refutation not found, incomplete strategy
% 20.25/3.92 % (2547583)Time elapsed: 0.001 s
% 20.25/3.92 % (2547583)Peak memory usage: 87 MB
% 20.25/3.92 % (2547584)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1200100210: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)
% 20.25/4.00 % (2547585)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=277975851:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 20.25/4.00 % (2547585)Refutation not found, incomplete strategy
% 20.25/4.00 % (2547585)------------------------------
% 20.25/4.00 % (2547585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547585)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547585)Termination reason: Refutation not found, incomplete strategy
% 20.25/4.00 % (2547585)Time elapsed: 0.001 s
% 20.25/4.00 % (2547585)Peak memory usage: 87 MB
% 20.25/4.00 % (2547586)lrs+10_64_to=lpo:sil=8000:random_seed=2080906036:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 20.25/4.00 % (2547584)Instruction limit reached!
% 20.25/4.00 % (2547584)------------------------------
% 20.25/4.00 % (2547584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547584)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547584)Termination reason: Instruction limit
% 20.25/4.00 % (2547584)Termination phase: Saturation
% 20.25/4.00 % (2547584)Time elapsed: 0.154 s
% 20.25/4.00 % (2547584)Peak memory usage: 87 MB
% 20.25/4.00 % (2547584)Instructions burned: 190 (million)
% 20.25/4.00 % (2547586)Instruction limit reached!
% 20.25/4.00 % (2547586)------------------------------
% 20.25/4.00 % (2547586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547586)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547586)Termination reason: Instruction limit
% 20.25/4.00 % (2547586)Termination phase: Saturation
% 20.25/4.00 % (2547586)Time elapsed: 0.123 s
% 20.25/4.00 % (2547586)Peak memory usage: 88 MB
% 20.25/4.00 % (2547586)Instructions burned: 126 (million)
% 20.25/4.00 % (2547583)------------------------------
% 20.25/4.00 % (2547583)------------------------------
% 20.25/4.00 % (2547585)------------------------------
% 20.25/4.00 % (2547585)------------------------------
% 20.25/4.00 % (2547593)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=70066580:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 20.25/4.00 % (2547594)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1453222824:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 20.25/4.00 % (2547595)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1127578086:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 20.25/4.00 % (2547593)Instruction limit reached!
% 20.25/4.00 % (2547593)------------------------------
% 20.25/4.00 % (2547593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547593)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547593)Termination reason: Instruction limit
% 20.25/4.00 % (2547593)Termination phase: Saturation
% 20.25/4.00 % (2547593)Time elapsed: 0.208 s
% 20.25/4.00 % (2547593)Peak memory usage: 90 MB
% 20.25/4.00 % (2547593)Instructions burned: 194 (million)
% 20.25/4.00 % (2547594)Instruction limit reached!
% 20.25/4.00 % (2547594)------------------------------
% 20.25/4.00 % (2547594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547594)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547594)Termination reason: Instruction limit
% 20.25/4.00 % (2547594)Termination phase: Saturation
% 20.25/4.00 % (2547594)Time elapsed: 0.168 s
% 20.25/4.00 % (2547594)Peak memory usage: 90 MB
% 20.25/4.00 % (2547594)Instructions burned: 157 (million)
% 20.25/4.00 % (2547596)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=192262620:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 20.25/4.00 % (2547596)Instruction limit reached!
% 20.25/4.00 % (2547596)------------------------------
% 20.25/4.00 % (2547596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547596)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547596)Termination reason: Instruction limit
% 20.25/4.00 % (2547596)Termination phase: Saturation
% 20.25/4.00 % (2547596)Time elapsed: 0.097 s
% 20.25/4.00 % (2547596)Peak memory usage: 88 MB
% 20.25/4.00 % (2547596)Instructions burned: 106 (million)
% 20.25/4.00 % (2547601)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1015730488:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 20.25/4.00 % (2547601)Refutation not found, incomplete strategy
% 20.25/4.00 % (2547601)------------------------------
% 20.25/4.00 % (2547601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547601)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547601)Termination reason: Refutation not found, incomplete strategy
% 20.25/4.00 % (2547601)Time elapsed: 0.001 s
% 20.25/4.00 % (2547601)Peak memory usage: 87 MB
% 20.25/4.00 % (2547603)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4260835335:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 20.25/4.00 % (2547604)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2919603581:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 20.25/4.00 % (2547603)Instruction limit reached!
% 20.25/4.00 % (2547603)------------------------------
% 20.25/4.00 % (2547603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547603)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547603)Termination reason: Instruction limit
% 20.25/4.00 % (2547603)Termination phase: Saturation
% 20.25/4.00 % (2547603)Time elapsed: 0.200 s
% 20.25/4.00 % (2547603)Peak memory usage: 89 MB
% 20.25/4.00 % (2547603)Instructions burned: 242 (million)
% 20.25/4.00 % (2547601)------------------------------
% 20.25/4.00 % (2547601)------------------------------
% 20.25/4.00 % (2547609)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=845157137:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 20.25/4.00 % (2547610)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3060291955:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 20.25/4.00 % (2547609)Instruction limit reached!
% 20.25/4.00 % (2547609)------------------------------
% 20.25/4.00 % (2547609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547609)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547609)Termination reason: Instruction limit
% 20.25/4.00 % (2547609)Termination phase: Saturation
% 20.25/4.00 % (2547609)Time elapsed: 0.136 s
% 20.25/4.00 % (2547609)Peak memory usage: 89 MB
% 20.25/4.00 % (2547609)Instructions burned: 134 (million)
% 20.25/4.00 % (2547615)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3596310310:i=191:fgj=on:bd=all_2977 on theBenchmark for (2977ds/191Mi)
% 20.25/4.00 % (2547595)First to succeed.
% 20.25/4.00 % (2547595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2547560"
% 20.25/4.00 % (2547610)Instruction limit reached!
% 20.25/4.00 % (2547610)------------------------------
% 20.25/4.00 % (2547610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547610)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547610)Termination reason: Instruction limit
% 20.25/4.00 % (2547610)Termination phase: Saturation
% 20.25/4.00 % (2547610)Time elapsed: 0.447 s
% 20.25/4.00 % (2547610)Peak memory usage: 91 MB
% 20.25/4.00 % (2547610)Instructions burned: 499 (million)
% 20.25/4.00 % (2547615)Instruction limit reached!
% 20.25/4.00 % (2547615)------------------------------
% 20.25/4.00 % (2547615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/4.00 % (2547615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/4.00 % (2547615)CaDiCaL version: 2.1.3
% 20.25/4.00 % (2547615)Termination reason: Instruction limit
% 20.25/4.00 % (2547615)Termination phase: Saturation
% 20.25/4.00 % (2547615)Time elapsed: 0.189 s
% 20.25/4.00 % (2547615)Peak memory usage: 89 MB
% 20.25/4.00 % (2547615)Instructions burned: 191 (million)
% 20.25/4.00 % (2547617)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1512342027:i=264:kws=precedence:fsr=off_2974 on theBenchmark for (2974ds/264Mi)
% 20.25/4.00 % (2547595)Refutation found. Thanks to Tanya!
% 20.25/4.00 % SZS status Unsatisfiable for theBenchmark
% 20.25/4.00 % SZS output start Proof for theBenchmark
% See solution above
% 21.55/4.25 % (2547595)------------------------------
% 21.55/4.25 % (2547595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.55/4.25 % (2547595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.55/4.25 % (2547595)CaDiCaL version: 2.1.3
% 21.55/4.25 % (2547595)Termination reason: Refutation
% 21.55/4.25 % (2547595)Time elapsed: 1.273 s
% 21.55/4.25 % (2547595)Peak memory usage: 131 MB
% 21.55/4.25 % (2547595)Instructions burned: 1192 (million)
% 21.55/4.25 % (2547595)------------------------------
% 21.55/4.25 % (2547595)------------------------------
% 21.55/4.25 % (2547560)Success in time 2.93 s
% 21.55/4.25 % Vampire exiting
%------------------------------------------------------------------------------