%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL125-1 : 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 : n018.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 11:51:17 AM UTC 2026
% Result : Unsatisfiable 55.41s 9.17s
% Output : Refutation 55.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 33 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 8 ( 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 : 116 ( 116 !; 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,X1),equivalent(X2,X1)),equivalent(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_2) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))),equivalent(X3,X4)),equivalent(X4,X3))),
inference(unit_resulting_resolution,[],[f1,f3,f3]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(X3,X4)),equivalent(X4,X3))),
inference(unit_resulting_resolution,[],[f1,f3,f2]) ).
fof(f12,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f2,f5]) ).
fof(f19,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f2,f12]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0),equivalent(X3,X4)),equivalent(X4,X3))),
inference(unit_resulting_resolution,[],[f1,f3,f12]) ).
fof(f32,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(X0,X0),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),
inference(unit_resulting_resolution,[],[f1,f4,f19]) ).
fof(f110,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f19,f10]) ).
fof(f119,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f110]) ).
fof(f125,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))),
inference(unit_resulting_resolution,[],[f1,f110,f110]) ).
fof(f170,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))),
inference(unit_resulting_resolution,[],[f1,f119,f119]) ).
fof(f502,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f125]) ).
fof(f927,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,f24,f170]) ).
fof(f1321,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),X1)),equivalent(X3,X2)),X0)),
inference(unit_resulting_resolution,[],[f1,f2,f927]) ).
fof(f1567,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a)),
inference(unit_resulting_resolution,[],[f1,f3,f32]) ).
fof(f3793,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(X2,X1)),X3),X0)),
inference(unit_resulting_resolution,[],[f1,f502,f1321]) ).
fof(f3862,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(X2,X1)),X4),equivalent(X0,equivalent(X4,X3)))),
inference(unit_resulting_resolution,[],[f1,f170,f3793]) ).
fof(f3976,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(X2,X1)),X4),X5),equivalent(equivalent(X0,equivalent(X4,X3)),X5))),
inference(unit_resulting_resolution,[],[f1,f110,f3862]) ).
fof(f5310,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f3793,f3976]) ).
fof(f5481,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f125,f5310]) ).
fof(f6619,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X0)),
inference(unit_resulting_resolution,[],[f1,f2,f5481]) ).
fof(f6733,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,f170,f6619]) ).
fof(f7232,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X3),equivalent(equivalent(X0,equivalent(X4,X2)),equivalent(X3,X4)))),
inference(unit_resulting_resolution,[],[f1,f170,f6733]) ).
fof(f7251,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,f110,f6733]) ).
fof(f10406,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(unit_resulting_resolution,[],[f1,f7232,f7251]) ).
fof(f10417,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X3)),X3)),equivalent(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f2,f7251]) ).
fof(f10773,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,f927,f10406]) ).
fof(f10803,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(a,equivalent(equivalent(X0,X0),X1)),X1))),
inference(unit_resulting_resolution,[],[f1,f1567,f10417]) ).
fof(f17359,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,f3976,f10773]) ).
fof(f17920,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,f927,f17359]) ).
fof(f22713,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f10803,f3976,f17920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL125-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n018.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 15:24:53 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 21.38/4.27 % (2504087)Input is clausal, will run a generic CNF schedule.
% 21.38/4.27 % (2504092)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=2878102636:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 21.38/4.27 % (2504094)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1650181658:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 21.38/4.27 % (2504093)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4096715465:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 21.38/4.27 % (2504096)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3977683005:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 21.38/4.27 % (2504098)dis-21_1_sil=8000:lcm=predicate:random_seed=1912322375: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)
% 21.38/4.27 % (2504095)lrs+10_1_sil=8000:sp=occurrence:random_seed=60905156:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 21.38/4.27 % (2504097)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=107117539:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 21.38/4.27 % (2504098)Instruction limit reached!
% 21.38/4.27 % (2504098)------------------------------
% 21.38/4.27 % (2504098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.27 % (2504098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.27 % (2504098)CaDiCaL version: 2.1.3
% 21.38/4.27 % (2504098)Termination reason: Instruction limit
% 21.38/4.27 % (2504098)Termination phase: Saturation
% 21.38/4.27 % (2504098)Time elapsed: 0.104 s
% 21.38/4.27 % (2504098)Peak memory usage: 88 MB
% 21.38/4.27 % (2504098)Instructions burned: 118 (million)
% 21.38/4.27 % (2504095)Instruction limit reached!
% 21.38/4.27 % (2504095)------------------------------
% 21.38/4.27 % (2504095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.27 % (2504095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.27 % (2504095)CaDiCaL version: 2.1.3
% 21.38/4.27 % (2504095)Termination reason: Instruction limit
% 21.38/4.27 % (2504095)Termination phase: Saturation
% 21.38/4.27 % (2504095)Time elapsed: 0.105 s
% 21.38/4.27 % (2504095)Peak memory usage: 88 MB
% 21.38/4.27 % (2504095)Instructions burned: 107 (million)
% 21.38/4.27 % (2504096)Instruction limit reached!
% 21.38/4.27 % (2504096)------------------------------
% 21.38/4.27 % (2504096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.27 % (2504096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.27 % (2504096)CaDiCaL version: 2.1.3
% 21.38/4.27 % (2504096)Termination reason: Instruction limit
% 21.38/4.27 % (2504096)Termination phase: Saturation
% 21.38/4.27 % (2504096)Time elapsed: 0.110 s
% 21.38/4.27 % (2504096)Peak memory usage: 88 MB
% 21.38/4.27 % (2504096)Instructions burned: 115 (million)
% 21.38/4.27 % (2504097)Instruction limit reached!
% 21.38/4.27 % (2504097)------------------------------
% 21.38/4.27 % (2504097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.27 % (2504097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.27 % (2504097)CaDiCaL version: 2.1.3
% 21.38/4.27 % (2504097)Termination reason: Instruction limit
% 21.38/4.27 % (2504097)Termination phase: Saturation
% 21.38/4.27 % (2504097)Time elapsed: 0.186 s
% 21.38/4.27 % (2504097)Peak memory usage: 89 MB
% 21.38/4.27 % (2504097)Instructions burned: 180 (million)
% 21.38/4.27 % (2504108)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=851060585:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 21.38/4.27 % (2504106)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=61365776:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 21.38/4.27 % (2504106)Refutation not found, incomplete strategy
% 21.38/4.27 % (2504106)------------------------------
% 21.38/4.27 % (2504106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.27 % (2504108)Refutation not found, incomplete strategy
% 21.38/4.27 % (2504108)------------------------------
% 21.38/4.27 % (2504108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.26/6.80 % (2504108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.26/6.80 % (2504108)CaDiCaL version: 2.1.3
% 39.26/6.80 % (2504106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.26/6.80 % (2504106)CaDiCaL version: 2.1.3
% 39.26/6.80 % (2504108)Termination reason: Refutation not found, incomplete strategy
% 39.26/6.80 % (2504108)Time elapsed: 0.001 s
% 39.26/6.80 % (2504108)Peak memory usage: 87 MB
% 39.26/6.80 % (2504106)Termination reason: Refutation not found, incomplete strategy
% 39.26/6.80 % (2504106)Time elapsed: 0.002 s
% 39.26/6.80 % (2504106)Peak memory usage: 87 MB
% 39.26/6.80 % (2504107)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3753030380: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)
% 39.26/6.80 % (2504109)lrs+10_64_to=lpo:sil=8000:random_seed=3119080607:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 39.26/6.80 % (2504109)Instruction limit reached!
% 39.26/6.80 % (2504109)------------------------------
% 39.26/6.80 % (2504109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.26/6.80 % (2504109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.26/6.80 % (2504109)CaDiCaL version: 2.1.3
% 39.26/6.80 % (2504109)Termination reason: Instruction limit
% 39.26/6.80 % (2504109)Termination phase: Saturation
% 39.26/6.80 % (2504109)Time elapsed: 0.116 s
% 39.26/6.80 % (2504109)Peak memory usage: 88 MB
% 39.26/6.80 % (2504109)Instructions burned: 126 (million)
% 39.26/6.80 % (2504107)Instruction limit reached!
% 39.26/6.80 % (2504107)------------------------------
% 39.26/6.80 % (2504107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.26/6.80 % (2504107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.26/6.80 % (2504107)CaDiCaL version: 2.1.3
% 39.26/6.80 % (2504107)Termination reason: Instruction limit
% 39.26/6.80 % (2504107)Termination phase: Saturation
% 39.26/6.80 % (2504107)Time elapsed: 0.181 s
% 39.26/6.80 % (2504107)Peak memory usage: 89 MB
% 39.26/6.80 % (2504107)Instructions burned: 189 (million)
% 39.26/6.80 % (2504108)------------------------------
% 39.26/6.80 % (2504108)------------------------------
% 39.26/6.80 % (2504106)------------------------------
% 39.26/6.80 % (2504106)------------------------------
% 39.26/6.80 % (2504115)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1583526541:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 39.26/6.80 % (2504114)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2020796574:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 39.26/6.80 % (2504115)Instruction limit reached!
% 39.26/6.80 % (2504115)------------------------------
% 39.26/6.80 % (2504115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.26/6.80 % (2504115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.26/6.80 % (2504115)CaDiCaL version: 2.1.3
% 39.26/6.80 % (2504115)Termination reason: Instruction limit
% 39.26/6.80 % (2504115)Termination phase: Saturation
% 39.26/6.80 % (2504115)Time elapsed: 0.162 s
% 39.26/6.80 % (2504115)Peak memory usage: 91 MB
% 39.26/6.80 % (2504115)Instructions burned: 157 (million)
% 39.26/6.80 % (2504117)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=1928048794:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 39.26/6.80 % (2504116)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=451067272:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 39.26/6.80 % (2504114)Instruction limit reached!
% 39.26/6.80 % (2504114)------------------------------
% 39.26/6.80 % (2504114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.26/6.80 % (2504114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.26/6.80 % (2504114)CaDiCaL version: 2.1.3
% 39.26/6.80 % (2504114)Termination reason: Instruction limit
% 39.26/6.80 % (2504114)Termination phase: Saturation
% 39.26/6.80 % (2504114)Time elapsed: 0.200 s
% 39.26/6.80 % (2504114)Peak memory usage: 89 MB
% 39.26/6.80 % (2504114)Instructions burned: 194 (million)
% 39.26/6.80 % (2504117)Instruction limit reached!
% 39.26/6.80 % (2504117)------------------------------
% 39.26/6.80 % (2504117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.26/6.80 % (2504117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504117)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504117)Termination reason: Instruction limit
% 53.80/8.97 % (2504117)Termination phase: Saturation
% 53.80/8.97 % (2504117)Time elapsed: 0.096 s
% 53.80/8.97 % (2504117)Peak memory usage: 88 MB
% 53.80/8.97 % (2504117)Instructions burned: 106 (million)
% 53.80/8.97 % (2504120)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1281551401:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 53.80/8.97 % (2504120)Refutation not found, incomplete strategy
% 53.80/8.97 % (2504120)------------------------------
% 53.80/8.97 % (2504120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504120)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504120)Termination reason: Refutation not found, incomplete strategy
% 53.80/8.97 % (2504120)Time elapsed: 0.001 s
% 53.80/8.97 % (2504120)Peak memory usage: 87 MB
% 53.80/8.97 % (2504123)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2301678563:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 53.80/8.97 % (2504124)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2135864627:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 53.80/8.97 % (2504123)Instruction limit reached!
% 53.80/8.97 % (2504123)------------------------------
% 53.80/8.97 % (2504123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504123)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504123)Termination reason: Instruction limit
% 53.80/8.97 % (2504123)Termination phase: Saturation
% 53.80/8.97 % (2504123)Time elapsed: 0.205 s
% 53.80/8.97 % (2504123)Peak memory usage: 90 MB
% 53.80/8.97 % (2504123)Instructions burned: 243 (million)
% 53.80/8.97 % (2504120)------------------------------
% 53.80/8.97 % (2504120)------------------------------
% 53.80/8.97 % (2504128)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=121173861:i=134:sd=2:doe=on:ss=axioms:sgt=14_2981 on theBenchmark for (2981ds/134Mi)
% 53.80/8.97 % (2504129)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2450928596:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 53.80/8.97 % (2504128)Instruction limit reached!
% 53.80/8.97 % (2504128)------------------------------
% 53.80/8.97 % (2504128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504128)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504128)Termination reason: Instruction limit
% 53.80/8.97 % (2504128)Termination phase: Saturation
% 53.80/8.97 % (2504128)Time elapsed: 0.135 s
% 53.80/8.97 % (2504128)Peak memory usage: 89 MB
% 53.80/8.97 % (2504128)Instructions burned: 134 (million)
% 53.80/8.97 % (2504132)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1516514667:i=191:fgj=on:bd=all_2976 on theBenchmark for (2976ds/191Mi)
% 53.80/8.97 % (2504129)Instruction limit reached!
% 53.80/8.97 % (2504129)------------------------------
% 53.80/8.97 % (2504129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504129)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504129)Termination reason: Instruction limit
% 53.80/8.97 % (2504129)Termination phase: Saturation
% 53.80/8.97 % (2504129)Time elapsed: 0.436 s
% 53.80/8.97 % (2504129)Peak memory usage: 89 MB
% 53.80/8.97 % (2504129)Instructions burned: 502 (million)
% 53.80/8.97 % (2504132)Instruction limit reached!
% 53.80/8.97 % (2504132)------------------------------
% 53.80/8.97 % (2504132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504132)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504132)Termination reason: Instruction limit
% 53.80/8.97 % (2504132)Termination phase: Saturation
% 53.80/8.97 % (2504132)Time elapsed: 0.198 s
% 53.80/8.97 % (2504132)Peak memory usage: 89 MB
% 53.80/8.97 % (2504132)Instructions burned: 191 (million)
% 53.80/8.97 % (2504134)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1121117626:i=264:kws=precedence:fsr=off_2972 on theBenchmark for (2972ds/264Mi)
% 53.80/8.97 % (2504135)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2899140257:cond=on:i=156:bs=on:gtg=exists_all:er=known_2971 on theBenchmark for (2971ds/156Mi)
% 53.80/8.97 % (2504134)Instruction limit reached!
% 53.80/8.97 % (2504134)------------------------------
% 53.80/8.97 % (2504134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504134)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504134)Termination reason: Instruction limit
% 53.80/8.97 % (2504134)Termination phase: Saturation
% 53.80/8.97 % (2504134)Time elapsed: 0.250 s
% 53.80/8.97 % (2504134)Peak memory usage: 90 MB
% 53.80/8.97 % (2504134)Instructions burned: 264 (million)
% 53.80/8.97 % (2504135)Instruction limit reached!
% 53.80/8.97 % (2504135)------------------------------
% 53.80/8.97 % (2504135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504135)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504135)Termination reason: Instruction limit
% 53.80/8.97 % (2504135)Termination phase: Saturation
% 53.80/8.97 % (2504135)Time elapsed: 0.162 s
% 53.80/8.97 % (2504135)Peak memory usage: 89 MB
% 53.80/8.97 % (2504135)Instructions burned: 156 (million)
% 53.80/8.97 % (2504138)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=3165587586:i=3256:kws=precedence:bd=preordered:av=off_2967 on theBenchmark for (2967ds/3256Mi)
% 53.80/8.97 % (2504139)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3140375913:i=537:av=off:ss=included_2966 on theBenchmark for (2966ds/537Mi)
% 53.80/8.97 % (2504139)Instruction limit reached!
% 53.80/8.97 % (2504139)------------------------------
% 53.80/8.97 % (2504139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504139)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504139)Termination reason: Instruction limit
% 53.80/8.97 % (2504139)Termination phase: Saturation
% 53.80/8.97 % (2504139)Time elapsed: 0.504 s
% 53.80/8.97 % (2504139)Peak memory usage: 91 MB
% 53.80/8.97 % (2504139)Instructions burned: 537 (million)
% 53.80/8.97 % (2504142)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2523237534:i=180:bd=preordered:av=off_2958 on theBenchmark for (2958ds/180Mi)
% 53.80/8.97 % (2504142)Instruction limit reached!
% 53.80/8.97 % (2504142)------------------------------
% 53.80/8.97 % (2504142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504142)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504142)Termination reason: Instruction limit
% 53.80/8.97 % (2504142)Termination phase: Saturation
% 53.80/8.97 % (2504142)Time elapsed: 0.164 s
% 53.80/8.97 % (2504142)Peak memory usage: 88 MB
% 53.80/8.97 % (2504142)Instructions burned: 180 (million)
% 53.80/8.97 % (2504116)Instruction limit reached!
% 53.80/8.97 % (2504116)------------------------------
% 53.80/8.97 % (2504116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.80/8.97 % (2504116)CaDiCaL version: 2.1.3
% 53.80/8.97 % (2504116)Termination reason: Instruction limit
% 53.80/8.97 % (2504116)Termination phase: Saturation
% 53.80/8.97 % (2504116)Time elapsed: 3.499 s
% 53.80/8.97 % (2504116)Peak memory usage: 146 MB
% 53.80/8.97 % (2504116)Instructions burned: 3394 (million)
% 53.80/8.97 % (2504144)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=221019802:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2954 on theBenchmark for (2954ds/10307Mi)
% 53.80/8.97 % (2504145)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=3803319114:i=412:gtgl=4:gtg=exists_all_2951 on theBenchmark for (2951ds/412Mi)
% 53.80/8.97 % (2504145)Instruction limit reached!
% 53.80/8.97 % (2504145)------------------------------
% 53.80/8.97 % (2504145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.80/8.97 % (2504145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.41/9.17 % (2504145)CaDiCaL version: 2.1.3
% 55.41/9.17 % (2504145)Termination reason: Instruction limit
% 55.41/9.17 % (2504145)Termination phase: Saturation
% 55.41/9.17 % (2504145)Time elapsed: 0.389 s
% 55.41/9.17 % (2504145)Peak memory usage: 93 MB
% 55.41/9.17 % (2504145)Instructions burned: 412 (million)
% 55.41/9.17 % (2504148)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=2517581765:s2pl=no:i=8478:s2at=4:nm=6_2944 on theBenchmark for (2944ds/8478Mi)
% 55.41/9.17 % (2504138)Instruction limit reached!
% 55.41/9.17 % (2504138)------------------------------
% 55.41/9.17 % (2504138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.41/9.17 % (2504138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.41/9.17 % (2504138)CaDiCaL version: 2.1.3
% 55.41/9.17 % (2504138)Termination reason: Instruction limit
% 55.41/9.17 % (2504138)Termination phase: Saturation
% 55.41/9.17 % (2504138)Time elapsed: 3.140 s
% 55.41/9.17 % (2504138)Peak memory usage: 145 MB
% 55.41/9.17 % (2504138)Instructions burned: 3256 (million)
% 55.41/9.17 % (2504124)Instruction limit reached!
% 55.41/9.17 % (2504124)------------------------------
% 55.41/9.17 % (2504124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.41/9.17 % (2504124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.41/9.17 % (2504124)CaDiCaL version: 2.1.3
% 55.41/9.17 % (2504124)Termination reason: Instruction limit
% 55.41/9.17 % (2504124)Termination phase: Saturation
% 55.41/9.17 % (2504124)Time elapsed: 5.234 s
% 55.41/9.17 % (2504124)Peak memory usage: 155 MB
% 55.41/9.17 % (2504124)Instructions burned: 5208 (million)
% 55.41/9.17 % (2504150)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=3644240502:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2933 on theBenchmark for (2933ds/303Mi)
% 55.41/9.17 % (2504150)Instruction limit reached!
% 55.41/9.17 % (2504150)------------------------------
% 55.41/9.17 % (2504150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.41/9.17 % (2504150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.41/9.17 % (2504150)CaDiCaL version: 2.1.3
% 55.41/9.17 % (2504150)Termination reason: Instruction limit
% 55.41/9.17 % (2504150)Termination phase: Saturation
% 55.41/9.17 % (2504150)Time elapsed: 0.255 s
% 55.41/9.17 % (2504150)Peak memory usage: 89 MB
% 55.41/9.17 % (2504150)Instructions burned: 304 (million)
% 55.41/9.17 % (2504093)First to succeed.
% 55.41/9.17 % (2504093)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2504087"
% 55.41/9.17 % (2504152)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=67770185:st=4:i=720:sd=3:fsr=off:ss=axioms_2930 on theBenchmark for (2930ds/720Mi)
% 55.41/9.17 % (2504153)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3168761079:i=598:bs=on:bd=preordered:av=off:ss=axioms_2927 on theBenchmark for (2927ds/598Mi)
% 55.41/9.17 % (2504093)Refutation found. Thanks to Tanya!
% 55.41/9.17 % SZS status Unsatisfiable for theBenchmark
% 55.41/9.17 % SZS output start Proof for theBenchmark
% See solution above
% 55.41/9.17 % (2504093)------------------------------
% 55.41/9.17 % (2504093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.41/9.17 % (2504093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.41/9.17 % (2504093)CaDiCaL version: 2.1.3
% 55.41/9.17 % (2504093)Termination reason: Refutation
% 55.41/9.17 % (2504093)Time elapsed: 6.976 s
% 55.41/9.17 % (2504093)Peak memory usage: 174 MB
% 55.41/9.17 % (2504093)Instructions burned: 7336 (million)
% 55.41/9.17 % (2504093)------------------------------
% 55.41/9.17 % (2504093)------------------------------
% 55.41/9.17 % (2504087)Success in time 7.71 s
% 55.41/9.17 % Vampire exiting
%------------------------------------------------------------------------------