%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL017-1 : 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 : 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 11:50:56 AM UTC 2026
% Result : Unsatisfiable 12.77s 2.57s
% Output : Refutation 12.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 9 unt; 2 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 168 ( 86 ~; 80 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 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(equivalent(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pyo) ).
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(X0,equivalent(X1,X2)),X2))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f5,f1]) ).
fof(f7,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X2,X1))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f6,f1]) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(X2,X0)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f8,f1]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X2)) ),
inference(duplicate_literal_removal,[],[f11]) ).
fof(f14,definition,
( spl0_1
<=> ! [X2,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f15,plain,
( ! [X2,X1] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f17,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f18,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f19,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f17,f14]) ).
fof(f33,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f18,f2]) ).
fof(f39,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f41,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl0_1 ),
inference(resolution,[],[f15,f4]) ).
fof(f45,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2))))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f41,f5]) ).
fof(f51,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1))
| ~ spl0_1 ),
inference(resolution,[],[f45,f5]) ).
fof(f55,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X0)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f45,f15]) ).
fof(f57,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| is_a_theorem(X1) )
| ~ spl0_1 ),
inference(resolution,[],[f51,f1]) ).
fof(f64,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1))))
| ~ spl0_1 ),
inference(resolution,[],[f57,f5]) ).
fof(f71,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl0_1 ),
inference(resolution,[],[f64,f41]) ).
fof(f74,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X0,X2)),X2)))
| ~ spl0_1 ),
inference(resolution,[],[f71,f2]) ).
fof(f94,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X1),X0)))))
| ~ spl0_1 ),
inference(resolution,[],[f74,f45]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f74,f1]) ).
fof(f99,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) )
| ~ spl0_1 ),
inference(resolution,[],[f96,f1]) ).
fof(f108,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) )
| ~ spl0_1 ),
inference(resolution,[],[f55,f74]) ).
fof(f117,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X0,equivalent(X1,X2)),X2))))
| ~ spl0_1 ),
inference(resolution,[],[f108,f2]) ).
fof(f124,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1))))
| ~ spl0_1 ),
inference(resolution,[],[f108,f74]) ).
fof(f144,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X1,X0),X2)) )
| ~ spl0_1 ),
inference(resolution,[],[f124,f55]) ).
fof(f328,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1))
| ~ spl0_1 ),
inference(resolution,[],[f94,f45]) ).
fof(f330,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X0),X1))))
| ~ spl0_1 ),
inference(resolution,[],[f94,f144]) ).
fof(f341,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1)))
| ~ spl0_1 ),
inference(resolution,[],[f328,f71]) ).
fof(f437,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_1 ),
inference(resolution,[],[f330,f99]) ).
fof(f456,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X1,X2)),X2)))
| ~ spl0_1 ),
inference(resolution,[],[f437,f117]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f456,f1]) ).
fof(f531,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) )
| ~ spl0_1 ),
inference(resolution,[],[f492,f1]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X2,X1))))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f531,f5]) ).
fof(f600,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X0,X2)) )
| ~ spl0_1 ),
inference(resolution,[],[f549,f41]) ).
fof(f605,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f549,f437]) ).
fof(f730,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X2,equivalent(X1,X3)),X3)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) )
| ~ spl0_1 ),
inference(resolution,[],[f600,f2]) ).
fof(f735,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X1))))
| is_a_theorem(equivalent(X0,X2)) )
| ~ spl0_1 ),
inference(resolution,[],[f600,f64]) ).
fof(f1611,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f605,f735]) ).
fof(f1796,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X3,X0))))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X2))) )
| ~ spl0_1 ),
inference(resolution,[],[f1611,f730]) ).
fof(f1889,plain,
( ~ is_a_theorem(equivalent(b,equivalent(equivalent(c,b),c)))
| ~ spl0_1 ),
inference(resolution,[],[f1796,f3]) ).
fof(f1930,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1889,f341]) ).
fof(f1931,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1930]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f39]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f1931]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f1932,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:18:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 10.15/2.10 % (686009)Input is clausal, will run a generic CNF schedule.
% 10.15/2.10 % (686019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2979942389:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.15/2.10 % (686015)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2020424026:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.15/2.10 % (686017)lrs+10_1_sil=8000:sp=occurrence:random_seed=276541386:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.15/2.10 % (686018)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3808385139:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.15/2.10 % (686020)dis-21_1_sil=8000:lcm=predicate:random_seed=2370665961: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)
% 10.15/2.10 % (686014)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=677938352:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.15/2.10 % (686016)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=652806734:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.15/2.10 % (686019)Instruction limit reached!
% 10.15/2.10 % (686019)------------------------------
% 10.15/2.10 % (686019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (686019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (686019)CaDiCaL version: 2.1.3
% 10.15/2.10 % (686019)Termination reason: Instruction limit
% 10.15/2.10 % (686019)Termination phase: Saturation
% 10.15/2.10 % (686019)Time elapsed: 0.061 s
% 10.15/2.10 % (686019)Peak memory usage: 89 MB
% 10.15/2.10 % (686019)Instructions burned: 180 (million)
% 10.15/2.10 % (686017)Instruction limit reached!
% 10.15/2.10 % (686017)------------------------------
% 10.15/2.10 % (686017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (686017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (686017)CaDiCaL version: 2.1.3
% 10.15/2.10 % (686017)Termination reason: Instruction limit
% 10.15/2.10 % (686017)Termination phase: Saturation
% 10.15/2.10 % (686017)Time elapsed: 0.064 s
% 10.15/2.10 % (686017)Peak memory usage: 88 MB
% 10.15/2.10 % (686017)Instructions burned: 107 (million)
% 10.15/2.10 % (686018)Instruction limit reached!
% 10.15/2.10 % (686018)------------------------------
% 10.15/2.10 % (686018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (686018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (686018)CaDiCaL version: 2.1.3
% 10.15/2.10 % (686018)Termination reason: Instruction limit
% 10.15/2.10 % (686018)Termination phase: Saturation
% 10.15/2.10 % (686018)Time elapsed: 0.070 s
% 10.15/2.10 % (686018)Peak memory usage: 88 MB
% 10.15/2.10 % (686018)Instructions burned: 115 (million)
% 10.15/2.10 % (686020)Instruction limit reached!
% 10.15/2.10 % (686020)------------------------------
% 10.15/2.10 % (686020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (686020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (686020)CaDiCaL version: 2.1.3
% 10.15/2.10 % (686020)Termination reason: Instruction limit
% 10.15/2.10 % (686020)Termination phase: Saturation
% 10.15/2.10 % (686020)Time elapsed: 0.072 s
% 10.15/2.10 % (686020)Peak memory usage: 89 MB
% 10.15/2.10 % (686020)Instructions burned: 118 (million)
% 10.15/2.10 % (686028)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=4015681427:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.15/2.10 % (686028)Refutation not found, incomplete strategy
% 10.15/2.10 % (686028)------------------------------
% 10.15/2.10 % (686028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (686028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (686028)CaDiCaL version: 2.1.3
% 10.15/2.10 % (686028)Termination reason: Refutation not found, incomplete strategy
% 10.15/2.10 % (686028)Time elapsed: 0.0000 s
% 10.15/2.10 % (686028)Peak memory usage: 87 MB
% 10.15/2.10 % (686029)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1976341807: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)
% 11.66/2.38 % (686030)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3225990099:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.66/2.38 % (686031)lrs+10_64_to=lpo:sil=8000:random_seed=849767037:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.66/2.38 % (686030)Refutation not found, incomplete strategy
% 11.66/2.38 % (686030)------------------------------
% 11.66/2.38 % (686030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686030)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686030)Termination reason: Refutation not found, incomplete strategy
% 11.66/2.38 % (686030)Time elapsed: 0.001 s
% 11.66/2.38 % (686030)Peak memory usage: 87 MB
% 11.66/2.38 % (686031)Instruction limit reached!
% 11.66/2.38 % (686031)------------------------------
% 11.66/2.38 % (686031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686031)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686031)Termination reason: Instruction limit
% 11.66/2.38 % (686031)Termination phase: Saturation
% 11.66/2.38 % (686031)Time elapsed: 0.075 s
% 11.66/2.38 % (686031)Peak memory usage: 88 MB
% 11.66/2.38 % (686031)Instructions burned: 126 (million)
% 11.66/2.38 % (686028)------------------------------
% 11.66/2.38 % (686028)------------------------------
% 11.66/2.38 % (686029)Instruction limit reached!
% 11.66/2.38 % (686029)------------------------------
% 11.66/2.38 % (686029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686029)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686029)Termination reason: Instruction limit
% 11.66/2.38 % (686029)Termination phase: Saturation
% 11.66/2.38 % (686029)Time elapsed: 0.112 s
% 11.66/2.38 % (686029)Peak memory usage: 90 MB
% 11.66/2.38 % (686029)Instructions burned: 189 (million)
% 11.66/2.38 % (686037)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3625161793:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.66/2.38 % (686036)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4214800478:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.66/2.38 % (686030)------------------------------
% 11.66/2.38 % (686030)------------------------------
% 11.66/2.38 % (686038)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1609335899:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.66/2.38 % (686037)Instruction limit reached!
% 11.66/2.38 % (686037)------------------------------
% 11.66/2.38 % (686037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686037)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686037)Termination reason: Instruction limit
% 11.66/2.38 % (686037)Termination phase: Saturation
% 11.66/2.38 % (686037)Time elapsed: 0.060 s
% 11.66/2.38 % (686037)Peak memory usage: 90 MB
% 11.66/2.38 % (686037)Instructions burned: 160 (million)
% 11.66/2.38 % (686043)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=907579923:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.66/2.38 % (686043)Refutation not found, incomplete strategy
% 11.66/2.38 % (686043)------------------------------
% 11.66/2.38 % (686043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686043)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686043)Termination reason: Refutation not found, incomplete strategy
% 11.66/2.38 % (686043)Time elapsed: 0.0000 s
% 11.66/2.38 % (686043)Peak memory usage: 87 MB
% 11.66/2.38 % (686036)Instruction limit reached!
% 11.66/2.38 % (686036)------------------------------
% 11.66/2.38 % (686036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686036)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686036)Termination reason: Instruction limit
% 11.66/2.38 % (686036)Termination phase: Saturation
% 11.66/2.38 % (686036)Time elapsed: 0.131 s
% 11.66/2.38 % (686036)Peak memory usage: 89 MB
% 11.66/2.38 % (686036)Instructions burned: 195 (million)
% 11.66/2.38 % (686042)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=936226406:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.66/2.38 % (686042)Instruction limit reached!
% 11.66/2.38 % (686042)------------------------------
% 11.66/2.38 % (686042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686042)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686042)Termination reason: Instruction limit
% 11.66/2.38 % (686042)Termination phase: Saturation
% 11.66/2.38 % (686042)Time elapsed: 0.058 s
% 11.66/2.38 % (686042)Peak memory usage: 88 MB
% 11.66/2.38 % (686042)Instructions burned: 107 (million)
% 11.66/2.38 % (686043)------------------------------
% 11.66/2.38 % (686043)------------------------------
% 11.66/2.38 % (686045)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1313835778:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.66/2.38 % (686047)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2964229184:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.66/2.38 % (686048)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=775180441:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.66/2.38 % (686045)Instruction limit reached!
% 11.66/2.38 % (686045)------------------------------
% 11.66/2.38 % (686045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686045)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686045)Termination reason: Instruction limit
% 11.66/2.38 % (686045)Termination phase: Saturation
% 11.66/2.38 % (686045)Time elapsed: 0.128 s
% 11.66/2.38 % (686045)Peak memory usage: 90 MB
% 11.66/2.38 % (686045)Instructions burned: 244 (million)
% 11.66/2.38 % (686048)Instruction limit reached!
% 11.66/2.38 % (686048)------------------------------
% 11.66/2.38 % (686048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686048)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686048)Termination reason: Instruction limit
% 11.66/2.38 % (686048)Termination phase: Saturation
% 11.66/2.38 % (686048)Time elapsed: 0.049 s
% 11.66/2.38 % (686048)Peak memory usage: 89 MB
% 11.66/2.38 % (686048)Instructions burned: 136 (million)
% 11.66/2.38 % (686053)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=741167546:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.66/2.38 % (686052)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3368041702:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.66/2.38 % (686053)Instruction limit reached!
% 11.66/2.38 % (686053)------------------------------
% 11.66/2.38 % (686053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686053)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686053)Termination reason: Instruction limit
% 11.66/2.38 % (686053)Termination phase: Saturation
% 11.66/2.38 % (686053)Time elapsed: 0.063 s
% 11.66/2.38 % (686053)Peak memory usage: 89 MB
% 11.66/2.38 % (686053)Instructions burned: 194 (million)
% 11.66/2.38 % (686056)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2363865522:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.66/2.38 % (686056)Instruction limit reached!
% 11.66/2.38 % (686056)------------------------------
% 11.66/2.38 % (686056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.38 % (686056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.38 % (686056)CaDiCaL version: 2.1.3
% 11.66/2.38 % (686056)Termination reason: Instruction limit
% 11.66/2.38 % (686056)Termination phase: Saturation
% 11.66/2.38 % (686056)Time elapsed: 0.088 s
% 11.66/2.38 % (686056)Peak memory usage: 91 MB
% 11.66/2.38 % (686056)Instructions burned: 267 (million)
% 11.66/2.38 % (686052)Instruction limit reached!
% 11.66/2.38 % (686052)------------------------------
% 11.66/2.38 % (686052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.57 % (686052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.57 % (686052)CaDiCaL version: 2.1.3
% 12.77/2.57 % (686052)Termination reason: Instruction limit
% 12.77/2.57 % (686052)Termination phase: Saturation
% 12.77/2.57 % (686052)Time elapsed: 0.285 s
% 12.77/2.57 % (686052)Peak memory usage: 91 MB
% 12.77/2.57 % (686052)Instructions burned: 500 (million)
% 12.77/2.57 % (686038)First to succeed.
% 12.77/2.57 % (686038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-686009"
% 12.77/2.57 % (686058)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=753313208:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 12.77/2.57 % (686059)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=524578064:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 12.77/2.57 % (686058)Instruction limit reached!
% 12.77/2.57 % (686058)------------------------------
% 12.77/2.57 % (686058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.57 % (686058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.57 % (686058)CaDiCaL version: 2.1.3
% 12.77/2.57 % (686058)Termination reason: Instruction limit
% 12.77/2.57 % (686058)Termination phase: Saturation
% 12.77/2.57 % (686058)Time elapsed: 0.101 s
% 12.77/2.57 % (686058)Peak memory usage: 90 MB
% 12.77/2.57 % (686058)Instructions burned: 157 (million)
% 12.77/2.57 % (686038)Refutation found. Thanks to Tanya!
% 12.77/2.57 % SZS status Unsatisfiable for theBenchmark
% 12.77/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 12.77/2.57 % (686038)------------------------------
% 12.77/2.57 % (686038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.57 % (686038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.57 % (686038)CaDiCaL version: 2.1.3
% 12.77/2.57 % (686038)Termination reason: Refutation
% 12.77/2.57 % (686038)Time elapsed: 0.856 s
% 12.77/2.57 % (686038)Peak memory usage: 132 MB
% 12.77/2.57 % (686038)Instructions burned: 1300 (million)
% 12.77/2.57 % (686038)------------------------------
% 12.77/2.57 % (686038)------------------------------
% 12.77/2.57 % (686009)Success in time 1.766 s
% 12.77/2.57 % Vampire exiting
%------------------------------------------------------------------------------