%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL129-1 : 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 11:51:18 AM UTC 2026
% Result : Unsatisfiable 27.80s 4.83s
% Output : Refutation 27.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 36 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 123 ( 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_4) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f4,plain,
! [X2,X3,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),
inference(unit_resulting_resolution,[],[f1,f3,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,equivalent(X1,X4))),equivalent(equivalent(X0,equivalent(X4,X2)),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f6,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f5]) ).
fof(f14,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f5,f6]) ).
fof(f20,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(unit_resulting_resolution,[],[f1,f14,f14]) ).
fof(f29,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f5,f20]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X2)),equivalent(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f2,f20]) ).
fof(f65,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(unit_resulting_resolution,[],[f1,f5,f30]) ).
fof(f66,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f30]) ).
fof(f84,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),equivalent(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f14,f66]) ).
fof(f108,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f2,f65]) ).
fof(f200,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f108,f29]) ).
fof(f357,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X0)),
inference(unit_resulting_resolution,[],[f1,f29,f200]) ).
fof(f592,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f2,f84]) ).
fof(f612,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))),
inference(unit_resulting_resolution,[],[f1,f66,f84]) ).
fof(f635,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),X3),equivalent(equivalent(X0,X2),X3))),
inference(unit_resulting_resolution,[],[f1,f66,f84]) ).
fof(f670,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X3))),equivalent(equivalent(X0,equivalent(X3,X2)),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f592]) ).
fof(f679,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,equivalent(X2,X3)),equivalent(X3,X2)),X1))),
inference(unit_resulting_resolution,[],[f1,f66,f592]) ).
fof(f816,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X2),X3))),equivalent(equivalent(X0,X3),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f612]) ).
fof(f817,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(equivalent(X3,X3),X2)),X1))),
inference(unit_resulting_resolution,[],[f1,f5,f612]) ).
fof(f1452,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X3),equivalent(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f66,f357]) ).
fof(f1811,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X0,equivalent(X3,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f670]) ).
fof(f1929,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),X4),equivalent(equivalent(X0,equivalent(X3,X2)),X4))),
inference(unit_resulting_resolution,[],[f1,f66,f1811]) ).
fof(f2170,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X3),equivalent(X0,equivalent(X3,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f816]) ).
fof(f2318,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X3),X4),equivalent(equivalent(X0,equivalent(X3,X2)),X4))),
inference(unit_resulting_resolution,[],[f1,f66,f2170]) ).
fof(f9893,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(a,equivalent(X0,equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(X0,equivalent(b,c))))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f10050,plain,
! [X0] : ~ is_a_theorem(equivalent(a,equivalent(equivalent(a,equivalent(equivalent(X0,X0),equivalent(b,c))),equivalent(equivalent(b,e),equivalent(c,e))))),
inference(unit_resulting_resolution,[],[f1,f817,f9893]) ).
fof(f13457,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),equivalent(equivalent(X0,equivalent(X3,X4)),equivalent(X4,X3)))),
inference(unit_resulting_resolution,[],[f1,f816,f679]) ).
fof(f13624,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),equivalent(X2,X3))),equivalent(X4,X3)),equivalent(X0,equivalent(X4,X2)))),
inference(unit_resulting_resolution,[],[f1,f5,f13457]) ).
fof(f23491,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(unit_resulting_resolution,[],[f1,f2318,f13624]) ).
fof(f23787,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(X0,equivalent(equivalent(X4,X2),X3)),equivalent(X1,X4)))),
inference(unit_resulting_resolution,[],[f1,f1929,f23491]) ).
fof(f24025,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(X4,X1)),equivalent(X0,equivalent(equivalent(X4,X2),X3)))),
inference(unit_resulting_resolution,[],[f1,f670,f23787]) ).
fof(f24250,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
inference(unit_resulting_resolution,[],[f1,f635,f24025]) ).
fof(f24555,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f10050,f1452,f24250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL129-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:24:56 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.97/2.40 % (699107)Input is clausal, will run a generic CNF schedule.
% 10.97/2.40 % (699118)dis-21_1_sil=8000:lcm=predicate:random_seed=3024975782: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)
% 10.97/2.40 % (699115)lrs+10_1_sil=8000:sp=occurrence:random_seed=3981311207:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.97/2.40 % (699114)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2114673973:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.97/2.40 % (699116)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=560317778:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.97/2.40 % (699112)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=2923409789:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.97/2.40 % (699113)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2035168798:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.97/2.40 % (699117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1902283563:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.97/2.40 % (699118)Instruction limit reached!
% 10.97/2.40 % (699118)------------------------------
% 10.97/2.40 % (699118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.40 % (699118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.40 % (699118)CaDiCaL version: 2.1.3
% 10.97/2.40 % (699118)Termination reason: Instruction limit
% 10.97/2.40 % (699118)Termination phase: Saturation
% 10.97/2.40 % (699118)Time elapsed: 0.039 s
% 10.97/2.40 % (699118)Peak memory usage: 89 MB
% 10.97/2.40 % (699118)Instructions burned: 120 (million)
% 10.97/2.40 % (699115)Instruction limit reached!
% 10.97/2.40 % (699115)------------------------------
% 10.97/2.40 % (699115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.40 % (699115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.40 % (699115)CaDiCaL version: 2.1.3
% 10.97/2.40 % (699115)Termination reason: Instruction limit
% 10.97/2.40 % (699115)Termination phase: Saturation
% 10.97/2.40 % (699115)Time elapsed: 0.069 s
% 10.97/2.40 % (699115)Peak memory usage: 88 MB
% 10.97/2.40 % (699115)Instructions burned: 108 (million)
% 10.97/2.40 % (699116)Instruction limit reached!
% 10.97/2.40 % (699116)------------------------------
% 10.97/2.40 % (699116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.40 % (699116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.40 % (699116)CaDiCaL version: 2.1.3
% 10.97/2.40 % (699116)Termination reason: Instruction limit
% 10.97/2.40 % (699116)Termination phase: Saturation
% 10.97/2.40 % (699116)Time elapsed: 0.072 s
% 10.97/2.40 % (699116)Peak memory usage: 88 MB
% 10.97/2.40 % (699116)Instructions burned: 115 (million)
% 10.97/2.40 % (699117)Instruction limit reached!
% 10.97/2.40 % (699117)------------------------------
% 10.97/2.40 % (699117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.40 % (699117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.40 % (699117)CaDiCaL version: 2.1.3
% 10.97/2.40 % (699117)Termination reason: Instruction limit
% 10.97/2.40 % (699117)Termination phase: Saturation
% 10.97/2.40 % (699117)Time elapsed: 0.115 s
% 10.97/2.40 % (699117)Peak memory usage: 88 MB
% 10.97/2.40 % (699117)Instructions burned: 182 (million)
% 10.97/2.40 % (699126)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=1275410298:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.97/2.40 % (699126)Refutation not found, incomplete strategy
% 10.97/2.40 % (699126)------------------------------
% 10.97/2.40 % (699126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.40 % (699126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.40 % (699126)CaDiCaL version: 2.1.3
% 10.97/2.40 % (699126)Termination reason: Refutation not found, incomplete strategy
% 10.97/2.40 % (699126)Time elapsed: 0.0000 s
% 10.97/2.40 % (699126)Peak memory usage: 87 MB
% 10.97/2.40 % (699128)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=453484377:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 17.59/3.37 % (699127)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1118238075: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)
% 17.59/3.37 % (699128)Refutation not found, incomplete strategy
% 17.59/3.37 % (699128)------------------------------
% 17.59/3.37 % (699128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.37 % (699128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.37 % (699128)CaDiCaL version: 2.1.3
% 17.59/3.37 % (699128)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.37 % (699128)Time elapsed: 0.001 s
% 17.59/3.37 % (699128)Peak memory usage: 87 MB
% 17.59/3.37 % (699129)lrs+10_64_to=lpo:sil=8000:random_seed=3205108993:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 17.59/3.37 % (699126)------------------------------
% 17.59/3.37 % (699126)------------------------------
% 17.59/3.37 % (699129)Instruction limit reached!
% 17.59/3.37 % (699129)------------------------------
% 17.59/3.37 % (699129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.37 % (699129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.37 % (699129)CaDiCaL version: 2.1.3
% 17.59/3.37 % (699129)Termination reason: Instruction limit
% 17.59/3.37 % (699129)Termination phase: Saturation
% 17.59/3.37 % (699129)Time elapsed: 0.077 s
% 17.59/3.37 % (699129)Peak memory usage: 88 MB
% 17.59/3.37 % (699129)Instructions burned: 127 (million)
% 17.59/3.37 % (699127)Instruction limit reached!
% 17.59/3.37 % (699127)------------------------------
% 17.59/3.37 % (699127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.37 % (699127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.37 % (699127)CaDiCaL version: 2.1.3
% 17.59/3.37 % (699127)Termination reason: Instruction limit
% 17.59/3.37 % (699127)Termination phase: Saturation
% 17.59/3.37 % (699127)Time elapsed: 0.114 s
% 17.59/3.37 % (699127)Peak memory usage: 89 MB
% 17.59/3.37 % (699127)Instructions burned: 190 (million)
% 17.59/3.37 % (699134)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1070667037:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 17.59/3.37 % (699134)Instruction limit reached!
% 17.59/3.37 % (699134)------------------------------
% 17.59/3.37 % (699134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.37 % (699134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.37 % (699134)CaDiCaL version: 2.1.3
% 17.59/3.37 % (699134)Termination reason: Instruction limit
% 17.59/3.37 % (699134)Termination phase: Saturation
% 17.59/3.37 % (699134)Time elapsed: 0.059 s
% 17.59/3.37 % (699134)Peak memory usage: 88 MB
% 17.59/3.37 % (699134)Instructions burned: 195 (million)
% 17.59/3.37 % (699135)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1898308409:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 17.59/3.37 % (699128)------------------------------
% 17.59/3.37 % (699128)------------------------------
% 17.59/3.37 % (699136)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2335994298:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 17.59/3.37 % (699139)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=1956077341:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 17.59/3.37 % (699135)Instruction limit reached!
% 17.59/3.37 % (699135)------------------------------
% 17.59/3.37 % (699135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.37 % (699135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.37 % (699135)CaDiCaL version: 2.1.3
% 17.59/3.37 % (699135)Termination reason: Instruction limit
% 17.59/3.37 % (699135)Termination phase: Saturation
% 17.59/3.37 % (699135)Time elapsed: 0.104 s
% 17.59/3.37 % (699135)Peak memory usage: 90 MB
% 17.59/3.37 % (699135)Instructions burned: 157 (million)
% 17.59/3.37 % (699139)Instruction limit reached!
% 17.59/3.37 % (699139)------------------------------
% 17.59/3.37 % (699139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.37 % (699139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.37 % (699139)CaDiCaL version: 2.1.3
% 17.59/3.37 % (699139)Termination reason: Instruction limit
% 23.30/4.73 % (699139)Termination phase: Saturation
% 23.30/4.73 % (699139)Time elapsed: 0.030 s
% 23.30/4.73 % (699139)Peak memory usage: 88 MB
% 23.30/4.73 % (699139)Instructions burned: 109 (million)
% 23.30/4.73 % (699141)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2739953310:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 23.30/4.73 % (699141)Refutation not found, incomplete strategy
% 23.30/4.73 % (699141)------------------------------
% 23.30/4.73 % (699141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699141)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699141)Termination reason: Refutation not found, incomplete strategy
% 23.30/4.73 % (699141)Time elapsed: 0.001 s
% 23.30/4.73 % (699141)Peak memory usage: 87 MB
% 23.30/4.73 % (699144)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3105029955:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.30/4.73 % (699143)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1343464062:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 23.30/4.73 % (699143)Instruction limit reached!
% 23.30/4.73 % (699143)------------------------------
% 23.30/4.73 % (699143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699143)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699143)Termination reason: Instruction limit
% 23.30/4.73 % (699143)Termination phase: Saturation
% 23.30/4.73 % (699143)Time elapsed: 0.146 s
% 23.30/4.73 % (699143)Peak memory usage: 89 MB
% 23.30/4.73 % (699143)Instructions burned: 243 (million)
% 23.30/4.73 % (699141)------------------------------
% 23.30/4.73 % (699141)------------------------------
% 23.30/4.73 % (699148)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3868393337:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 23.30/4.73 % (699149)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1146724522:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 23.30/4.73 % (699148)Instruction limit reached!
% 23.30/4.73 % (699148)------------------------------
% 23.30/4.73 % (699148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699148)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699148)Termination reason: Instruction limit
% 23.30/4.73 % (699148)Termination phase: Saturation
% 23.30/4.73 % (699148)Time elapsed: 0.076 s
% 23.30/4.73 % (699148)Peak memory usage: 88 MB
% 23.30/4.73 % (699148)Instructions burned: 134 (million)
% 23.30/4.73 % (699152)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1751508330:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 23.30/4.73 % (699149)Instruction limit reached!
% 23.30/4.73 % (699149)------------------------------
% 23.30/4.73 % (699149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699149)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699149)Termination reason: Instruction limit
% 23.30/4.73 % (699149)Termination phase: Saturation
% 23.30/4.73 % (699149)Time elapsed: 0.287 s
% 23.30/4.73 % (699149)Peak memory usage: 90 MB
% 23.30/4.73 % (699149)Instructions burned: 500 (million)
% 23.30/4.73 % (699152)Instruction limit reached!
% 23.30/4.73 % (699152)------------------------------
% 23.30/4.73 % (699152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699152)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699152)Termination reason: Instruction limit
% 23.30/4.73 % (699152)Termination phase: Saturation
% 23.30/4.73 % (699152)Time elapsed: 0.126 s
% 23.30/4.73 % (699152)Peak memory usage: 90 MB
% 23.30/4.73 % (699152)Instructions burned: 191 (million)
% 23.30/4.73 % (699155)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3438102298:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 23.30/4.73 % (699154)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=87894358:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 23.30/4.73 % (699155)Instruction limit reached!
% 23.30/4.73 % (699155)------------------------------
% 23.30/4.73 % (699155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699155)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699155)Termination reason: Instruction limit
% 23.30/4.73 % (699155)Termination phase: Saturation
% 23.30/4.73 % (699155)Time elapsed: 0.099 s
% 23.30/4.73 % (699155)Peak memory usage: 89 MB
% 23.30/4.73 % (699155)Instructions burned: 156 (million)
% 23.30/4.73 % (699154)Instruction limit reached!
% 23.30/4.73 % (699154)------------------------------
% 23.30/4.73 % (699154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699154)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699154)Termination reason: Instruction limit
% 23.30/4.73 % (699154)Termination phase: Saturation
% 23.30/4.73 % (699154)Time elapsed: 0.168 s
% 23.30/4.73 % (699154)Peak memory usage: 91 MB
% 23.30/4.73 % (699154)Instructions burned: 266 (million)
% 23.30/4.73 % (699158)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=3766893874:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 23.30/4.73 % (699159)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=695155396:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 23.30/4.73 % (699136)Instruction limit reached!
% 23.30/4.73 % (699136)------------------------------
% 23.30/4.73 % (699136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699136)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699136)Termination reason: Instruction limit
% 23.30/4.73 % (699136)Termination phase: Saturation
% 23.30/4.73 % (699136)Time elapsed: 1.323 s
% 23.30/4.73 % (699136)Peak memory usage: 149 MB
% 23.30/4.73 % (699136)Instructions burned: 3396 (million)
% 23.30/4.73 % (699162)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1821619917:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 23.30/4.73 % (699162)Instruction limit reached!
% 23.30/4.73 % (699162)------------------------------
% 23.30/4.73 % (699162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699162)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699162)Termination reason: Instruction limit
% 23.30/4.73 % (699162)Termination phase: Saturation
% 23.30/4.73 % (699162)Time elapsed: 0.055 s
% 23.30/4.73 % (699162)Peak memory usage: 89 MB
% 23.30/4.73 % (699162)Instructions burned: 180 (million)
% 23.30/4.73 % (699159)Instruction limit reached!
% 23.30/4.73 % (699159)------------------------------
% 23.30/4.73 % (699159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699159)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699159)Termination reason: Instruction limit
% 23.30/4.73 % (699159)Termination phase: Saturation
% 23.30/4.73 % (699159)Time elapsed: 0.256 s
% 23.30/4.73 % (699159)Peak memory usage: 90 MB
% 23.30/4.73 % (699159)Instructions burned: 537 (million)
% 23.30/4.73 % (699164)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1892105662:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 23.30/4.73 % (699165)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=4037147284:i=412:gtgl=4:gtg=exists_all_2979 on theBenchmark for (2979ds/412Mi)
% 23.30/4.73 % (699165)Instruction limit reached!
% 23.30/4.73 % (699165)------------------------------
% 23.30/4.73 % (699165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.73 % (699165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.73 % (699165)CaDiCaL version: 2.1.3
% 23.30/4.73 % (699165)Termination reason: Instruction limit
% 23.30/4.73 % (699165)Termination phase: Saturation
% 23.30/4.73 % (699165)Time elapsed: 0.269 s
% 23.30/4.73 % (699165)Peak memory usage: 93 MB
% 23.30/4.73 % (699165)Instructions burned: 413 (million)
% 27.80/4.83 % (699168)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=2033815389:s2pl=no:i=8478:s2at=4:nm=6_2974 on theBenchmark for (2974ds/8478Mi)
% 27.80/4.83 % (699158)Instruction limit reached!
% 27.80/4.83 % (699158)------------------------------
% 27.80/4.83 % (699158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/4.83 % (699158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/4.83 % (699158)CaDiCaL version: 2.1.3
% 27.80/4.83 % (699158)Termination reason: Instruction limit
% 27.80/4.83 % (699158)Termination phase: Saturation
% 27.80/4.83 % (699158)Time elapsed: 1.797 s
% 27.80/4.83 % (699158)Peak memory usage: 143 MB
% 27.80/4.83 % (699158)Instructions burned: 3257 (million)
% 27.80/4.83 % (699113)First to succeed.
% 27.80/4.83 % (699113)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-699107"
% 27.80/4.83 % (699144)Instruction limit reached!
% 27.80/4.83 % (699144)------------------------------
% 27.80/4.83 % (699144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/4.83 % (699144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/4.83 % (699144)CaDiCaL version: 2.1.3
% 27.80/4.83 % (699144)Termination reason: Instruction limit
% 27.80/4.83 % (699144)Termination phase: Saturation
% 27.80/4.83 % (699144)Time elapsed: 2.898 s
% 27.80/4.83 % (699144)Peak memory usage: 159 MB
% 27.80/4.83 % (699144)Instructions burned: 5209 (million)
% 27.80/4.83 % (699170)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2936286877:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2964 on theBenchmark for (2964ds/303Mi)
% 27.80/4.83 % (699171)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=1974583283:st=4:i=720:sd=3:fsr=off:ss=axioms_2963 on theBenchmark for (2963ds/720Mi)
% 27.80/4.83 % (699113)Refutation found. Thanks to Tanya!
% 27.80/4.83 % SZS status Unsatisfiable for theBenchmark
% 27.80/4.83 % SZS output start Proof for theBenchmark
% See solution above
% 27.80/4.83 % (699113)------------------------------
% 27.80/4.83 % (699113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/4.83 % (699113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/4.83 % (699113)CaDiCaL version: 2.1.3
% 27.80/4.83 % (699113)Termination reason: Refutation
% 27.80/4.83 % (699113)Time elapsed: 3.439 s
% 27.80/4.83 % (699113)Peak memory usage: 166 MB
% 27.80/4.83 % (699113)Instructions burned: 6089 (million)
% 27.80/4.83 % (699113)------------------------------
% 27.80/4.83 % (699113)------------------------------
% 27.80/4.83 % (699107)Success in time 3.859 s
% 27.80/4.83 % Vampire exiting
%------------------------------------------------------------------------------