%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL127-1 : 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 : n008.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 20.95s 3.91s
% Output : Refutation 20.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 41 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 152 ( 152 !; 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(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_2) ).
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(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X3),equivalent(equivalent(equivalent(X1,X4),equivalent(X2,X4)),X3)))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(equivalent(X0,X4),equivalent(equivalent(equivalent(X1,X5),equivalent(X2,X5)),X4)),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)),equivalent(X0,equivalent(equivalent(X2,X5),equivalent(X4,X5))))),
inference(unit_resulting_resolution,[],[f1,f2,f6]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)),equivalent(equivalent(X0,X5),equivalent(equivalent(equivalent(X2,X6),equivalent(X4,X6)),X5)))),
inference(unit_resulting_resolution,[],[f1,f5,f6]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))),
inference(unit_resulting_resolution,[],[f1,f11,f12]) ).
fof(f80,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
inference(unit_resulting_resolution,[],[f1,f12,f72]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(X2,X3),X4)))),
inference(unit_resulting_resolution,[],[f1,f2,f72]) ).
fof(f114,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X2,X3)))),
inference(unit_resulting_resolution,[],[f1,f2,f80]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X0,equivalent(equivalent(X1,X4),equivalent(X2,X4))),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f114]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(equivalent(X1,X4),equivalent(X3,X4))))),
inference(unit_resulting_resolution,[],[f1,f2,f121]) ).
fof(f243,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f72,f185]) ).
fof(f277,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,f121,f243]) ).
fof(f282,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f243]) ).
fof(f283,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,f5,f243]) ).
fof(f325,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,f277]) ).
fof(f331,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f72,f277]) ).
fof(f360,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(unit_resulting_resolution,[],[f1,f277,f325]) ).
fof(f376,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,f90,f325]) ).
fof(f413,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X2,X2)),X1))),
inference(unit_resulting_resolution,[],[f1,f72,f360]) ).
fof(f414,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2))),
inference(unit_resulting_resolution,[],[f1,f325,f360]) ).
fof(f479,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(equivalent(X0,X3),equivalent(X1,X3)))),
inference(unit_resulting_resolution,[],[f1,f72,f376]) ).
fof(f538,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X0,equivalent(X2,X2)))),
inference(unit_resulting_resolution,[],[f1,f360,f413]) ).
fof(f567,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(unit_resulting_resolution,[],[f1,f243,f538]) ).
fof(f618,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f243,f567]) ).
fof(f686,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f413,f618]) ).
fof(f949,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,f282,f331]) ).
fof(f985,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f686,f283]) ).
fof(f1059,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,f72,f985]) ).
fof(f1872,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),equivalent(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f325,f479]) ).
fof(f3568,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,f277,f949]) ).
fof(f3718,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,f414,f3568]) ).
fof(f6044,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X1),equivalent(equivalent(X2,X3),equivalent(X4,X3)))),equivalent(X2,X4)))),
inference(unit_resulting_resolution,[],[f1,f277,f1059]) ).
fof(f12967,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X4),equivalent(X3,X4)))),
inference(unit_resulting_resolution,[],[f1,f2,f1872]) ).
fof(f13060,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,equivalent(X2,X3)),equivalent(equivalent(X3,X4),equivalent(X2,X4))),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f12967]) ).
fof(f13501,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X4)),equivalent(equivalent(X4,X5),equivalent(X3,X5))),equivalent(X0,equivalent(equivalent(X1,X6),equivalent(X2,X6))))),
inference(unit_resulting_resolution,[],[f1,f2,f13060]) ).
fof(f13779,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,equivalent(X1,X4))),equivalent(X0,equivalent(X3,equivalent(X2,X4))))),
inference(unit_resulting_resolution,[],[f1,f325,f13501]) ).
fof(f15881,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(a,equivalent(X0,equivalent(b,c))),equivalent(a,equivalent(X0,equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(unit_resulting_resolution,[],[f1,f3,f13779]) ).
fof(f16399,plain,
! [X0] : ~ is_a_theorem(equivalent(a,equivalent(equivalent(a,equivalent(equivalent(X0,X0),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(b,c)))),
inference(unit_resulting_resolution,[],[f1,f3718,f15881]) ).
fof(f16423,plain,
$false,
inference(forward_subsumption_resolution,[],[f16399,f6044]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL127-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:23:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 11.24/2.45 % (1370860)Input is clausal, will run a generic CNF schedule.
% 11.24/2.45 % (1370991)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=109607886:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.24/2.45 % (1370996)lrs+10_1_sil=8000:sp=occurrence:random_seed=1785489662:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.24/2.45 % (1370993)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4154238636:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.24/2.45 % (1371000)dis-21_1_sil=8000:lcm=predicate:random_seed=2714563613: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)
% 11.24/2.45 % (1370995)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2602964265:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.24/2.45 % (1370999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=454688853:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.24/2.45 % (1370997)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1070249105:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.24/2.45 % (1370996)Instruction limit reached!
% 11.24/2.45 % (1370996)------------------------------
% 11.24/2.45 % (1370996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.45 % (1370996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.45 % (1370996)CaDiCaL version: 2.1.3
% 11.24/2.45 % (1370996)Termination reason: Instruction limit
% 11.24/2.45 % (1370996)Termination phase: Saturation
% 11.24/2.45 % (1370996)Time elapsed: 0.067 s
% 11.24/2.45 % (1370996)Peak memory usage: 88 MB
% 11.24/2.45 % (1370996)Instructions burned: 107 (million)
% 11.24/2.45 % (1371000)Instruction limit reached!
% 11.24/2.45 % (1371000)------------------------------
% 11.24/2.45 % (1371000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.45 % (1371000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.45 % (1371000)CaDiCaL version: 2.1.3
% 11.24/2.45 % (1371000)Termination reason: Instruction limit
% 11.24/2.45 % (1371000)Termination phase: Saturation
% 11.24/2.45 % (1371000)Time elapsed: 0.069 s
% 11.24/2.45 % (1371000)Peak memory usage: 88 MB
% 11.24/2.45 % (1371000)Instructions burned: 117 (million)
% 11.24/2.45 % (1370997)Instruction limit reached!
% 11.24/2.45 % (1370997)------------------------------
% 11.24/2.45 % (1370997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.45 % (1370997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.45 % (1370997)CaDiCaL version: 2.1.3
% 11.24/2.45 % (1370997)Termination reason: Instruction limit
% 11.24/2.45 % (1370997)Termination phase: Saturation
% 11.24/2.45 % (1370997)Time elapsed: 0.075 s
% 11.24/2.45 % (1370997)Peak memory usage: 88 MB
% 11.24/2.45 % (1370997)Instructions burned: 115 (million)
% 11.24/2.45 % (1370999)Instruction limit reached!
% 11.24/2.45 % (1370999)------------------------------
% 11.24/2.45 % (1370999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.45 % (1370999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.45 % (1370999)CaDiCaL version: 2.1.3
% 11.24/2.45 % (1370999)Termination reason: Instruction limit
% 11.24/2.45 % (1370999)Termination phase: Saturation
% 11.24/2.45 % (1370999)Time elapsed: 0.116 s
% 11.24/2.45 % (1370999)Peak memory usage: 89 MB
% 11.24/2.45 % (1370999)Instructions burned: 181 (million)
% 11.24/2.45 % (1371009)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=28140409: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)
% 11.24/2.45 % (1371008)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=2158309686:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.24/2.45 % (1371008)Refutation not found, incomplete strategy
% 11.24/2.45 % (1371008)------------------------------
% 11.24/2.45 % (1371008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.45 % (1371008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.45 % (1371008)CaDiCaL version: 2.1.3
% 15.83/3.08 % (1371008)Termination reason: Refutation not found, incomplete strategy
% 15.83/3.08 % (1371008)Time elapsed: 0.001 s
% 15.83/3.08 % (1371008)Peak memory usage: 87 MB
% 15.83/3.08 % (1371010)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1908829727:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.83/3.08 % (1371010)Refutation not found, incomplete strategy
% 15.83/3.08 % (1371010)------------------------------
% 15.83/3.08 % (1371010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.83/3.08 % (1371010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/3.08 % (1371010)CaDiCaL version: 2.1.3
% 15.83/3.08 % (1371010)Termination reason: Refutation not found, incomplete strategy
% 15.83/3.08 % (1371010)Time elapsed: 0.002 s
% 15.83/3.08 % (1371010)Peak memory usage: 87 MB
% 15.83/3.08 % (1371011)lrs+10_64_to=lpo:sil=8000:random_seed=1121288380:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 15.83/3.08 % (1371009)Instruction limit reached!
% 15.83/3.08 % (1371009)------------------------------
% 15.83/3.08 % (1371009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.83/3.08 % (1371009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/3.08 % (1371009)CaDiCaL version: 2.1.3
% 15.83/3.08 % (1371009)Termination reason: Instruction limit
% 15.83/3.08 % (1371009)Termination phase: Saturation
% 15.83/3.08 % (1371009)Time elapsed: 0.107 s
% 15.83/3.08 % (1371009)Peak memory usage: 88 MB
% 15.83/3.08 % (1371009)Instructions burned: 189 (million)
% 15.83/3.08 % (1371011)Instruction limit reached!
% 15.83/3.08 % (1371011)------------------------------
% 15.83/3.08 % (1371011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.83/3.08 % (1371011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/3.08 % (1371011)CaDiCaL version: 2.1.3
% 15.83/3.08 % (1371011)Termination reason: Instruction limit
% 15.83/3.08 % (1371011)Termination phase: Saturation
% 15.83/3.08 % (1371011)Time elapsed: 0.085 s
% 15.83/3.08 % (1371011)Peak memory usage: 88 MB
% 15.83/3.08 % (1371011)Instructions burned: 126 (million)
% 15.83/3.08 % (1371010)------------------------------
% 15.83/3.08 % (1371010)------------------------------
% 15.83/3.08 % (1371008)------------------------------
% 15.83/3.08 % (1371008)------------------------------
% 15.83/3.08 % (1371016)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1251152991:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 15.83/3.08 % (1371017)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1522097271:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 15.83/3.08 % (1371018)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1660766428:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 15.83/3.08 % (1371016)Instruction limit reached!
% 15.83/3.08 % (1371016)------------------------------
% 15.83/3.08 % (1371016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.83/3.08 % (1371016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/3.08 % (1371016)CaDiCaL version: 2.1.3
% 15.83/3.08 % (1371016)Termination reason: Instruction limit
% 15.83/3.08 % (1371016)Termination phase: Saturation
% 15.83/3.08 % (1371016)Time elapsed: 0.131 s
% 15.83/3.08 % (1371016)Peak memory usage: 88 MB
% 15.83/3.08 % (1371016)Instructions burned: 194 (million)
% 15.83/3.08 % (1371020)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=259322400:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 15.83/3.08 % (1371017)Instruction limit reached!
% 15.83/3.08 % (1371017)------------------------------
% 15.83/3.08 % (1371017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.83/3.08 % (1371017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/3.08 % (1371017)CaDiCaL version: 2.1.3
% 15.83/3.08 % (1371017)Termination reason: Instruction limit
% 15.83/3.08 % (1371017)Termination phase: Saturation
% 15.83/3.08 % (1371017)Time elapsed: 0.095 s
% 15.83/3.08 % (1371017)Peak memory usage: 91 MB
% 15.83/3.08 % (1371017)Instructions burned: 158 (million)
% 15.83/3.08 % (1371020)Instruction limit reached!
% 15.83/3.08 % (1371020)------------------------------
% 15.83/3.08 % (1371020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.83/3.08 % (1371020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371020)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371020)Termination reason: Instruction limit
% 17.09/3.73 % (1371020)Termination phase: Saturation
% 17.09/3.73 % (1371020)Time elapsed: 0.054 s
% 17.09/3.73 % (1371020)Peak memory usage: 88 MB
% 17.09/3.73 % (1371020)Instructions burned: 107 (million)
% 17.09/3.73 % (1371024)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3668602246:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 17.09/3.73 % (1371024)Refutation not found, incomplete strategy
% 17.09/3.73 % (1371024)------------------------------
% 17.09/3.73 % (1371024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371024)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371024)Termination reason: Refutation not found, incomplete strategy
% 17.09/3.73 % (1371024)Time elapsed: 0.001 s
% 17.09/3.73 % (1371024)Peak memory usage: 87 MB
% 17.09/3.73 % (1371025)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4254132369:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 17.09/3.73 % (1371026)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=732839286:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 17.09/3.73 % (1371025)Instruction limit reached!
% 17.09/3.73 % (1371025)------------------------------
% 17.09/3.73 % (1371025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371025)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371025)Termination reason: Instruction limit
% 17.09/3.73 % (1371025)Termination phase: Saturation
% 17.09/3.73 % (1371025)Time elapsed: 0.141 s
% 17.09/3.73 % (1371025)Peak memory usage: 89 MB
% 17.09/3.73 % (1371025)Instructions burned: 242 (million)
% 17.09/3.73 % (1371024)------------------------------
% 17.09/3.73 % (1371024)------------------------------
% 17.09/3.73 % (1371030)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=929503241:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 17.09/3.73 % (1371031)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1999251800:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 17.09/3.73 % (1371030)Instruction limit reached!
% 17.09/3.73 % (1371030)------------------------------
% 17.09/3.73 % (1371030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371030)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371030)Termination reason: Instruction limit
% 17.09/3.73 % (1371030)Termination phase: Saturation
% 17.09/3.73 % (1371030)Time elapsed: 0.089 s
% 17.09/3.73 % (1371030)Peak memory usage: 88 MB
% 17.09/3.73 % (1371030)Instructions burned: 135 (million)
% 17.09/3.73 % (1371034)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1051467502:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 17.09/3.73 % (1371034)Instruction limit reached!
% 17.09/3.73 % (1371034)------------------------------
% 17.09/3.73 % (1371034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371034)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371034)Termination reason: Instruction limit
% 17.09/3.73 % (1371034)Termination phase: Saturation
% 17.09/3.73 % (1371034)Time elapsed: 0.130 s
% 17.09/3.73 % (1371034)Peak memory usage: 89 MB
% 17.09/3.73 % (1371034)Instructions burned: 191 (million)
% 17.09/3.73 % (1371031)Instruction limit reached!
% 17.09/3.73 % (1371031)------------------------------
% 17.09/3.73 % (1371031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371031)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371031)Termination reason: Instruction limit
% 17.09/3.73 % (1371031)Termination phase: Saturation
% 17.09/3.73 % (1371031)Time elapsed: 0.282 s
% 17.09/3.73 % (1371031)Peak memory usage: 90 MB
% 17.09/3.73 % (1371031)Instructions burned: 500 (million)
% 17.09/3.73 % (1371036)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2018680227:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 17.09/3.73 % (1371037)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=949085368:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 17.09/3.73 % (1371037)Instruction limit reached!
% 17.09/3.73 % (1371037)------------------------------
% 17.09/3.73 % (1371037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371037)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371037)Termination reason: Instruction limit
% 17.09/3.73 % (1371037)Termination phase: Saturation
% 17.09/3.73 % (1371037)Time elapsed: 0.100 s
% 17.09/3.73 % (1371037)Peak memory usage: 89 MB
% 17.09/3.73 % (1371037)Instructions burned: 156 (million)
% 17.09/3.73 % (1371018)Instruction limit reached!
% 17.09/3.73 % (1371018)------------------------------
% 17.09/3.73 % (1371018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371018)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371018)Termination reason: Instruction limit
% 17.09/3.73 % (1371018)Termination phase: Saturation
% 17.09/3.73 % (1371018)Time elapsed: 1.117 s
% 17.09/3.73 % (1371018)Peak memory usage: 148 MB
% 17.09/3.73 % (1371018)Instructions burned: 3395 (million)
% 17.09/3.73 % (1371036)Instruction limit reached!
% 17.09/3.73 % (1371036)------------------------------
% 17.09/3.73 % (1371036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371036)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371036)Termination reason: Instruction limit
% 17.09/3.73 % (1371036)Termination phase: Saturation
% 17.09/3.73 % (1371036)Time elapsed: 0.161 s
% 17.09/3.73 % (1371036)Peak memory usage: 90 MB
% 17.09/3.73 % (1371036)Instructions burned: 265 (million)
% 17.09/3.73 % (1371040)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=3024057450:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 17.09/3.73 % (1371041)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3668866333:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 17.09/3.73 % (1371042)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2368419250:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 17.09/3.73 % (1371042)Instruction limit reached!
% 17.09/3.73 % (1371042)------------------------------
% 17.09/3.73 % (1371042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371042)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371042)Termination reason: Instruction limit
% 17.09/3.73 % (1371042)Termination phase: Saturation
% 17.09/3.73 % (1371042)Time elapsed: 0.099 s
% 17.09/3.73 % (1371042)Peak memory usage: 89 MB
% 17.09/3.73 % (1371042)Instructions burned: 180 (million)
% 17.09/3.73 % (1371041)Instruction limit reached!
% 17.09/3.73 % (1371041)------------------------------
% 17.09/3.73 % (1371041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.73 % (1371041)CaDiCaL version: 2.1.3
% 17.09/3.73 % (1371041)Termination reason: Instruction limit
% 17.09/3.73 % (1371041)Termination phase: Saturation
% 17.09/3.73 % (1371041)Time elapsed: 0.151 s
% 17.09/3.73 % (1371041)Peak memory usage: 90 MB
% 17.09/3.73 % (1371041)Instructions burned: 540 (million)
% 17.09/3.73 % (1371047)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=2486777346:i=412:gtgl=4:gtg=exists_all_2979 on theBenchmark for (2979ds/412Mi)
% 17.09/3.73 % (1371046)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=3437075109:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 17.09/3.73 % (1371047)Instruction limit reached!
% 17.09/3.73 % (1371047)------------------------------
% 17.09/3.73 % (1371047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.73 % (1371047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.91 % (1371047)CaDiCaL version: 2.1.3
% 20.95/3.91 % (1371047)Termination reason: Instruction limit
% 20.95/3.91 % (1371047)Termination phase: Saturation
% 20.95/3.91 % (1371047)Time elapsed: 0.132 s
% 20.95/3.91 % (1371047)Peak memory usage: 93 MB
% 20.95/3.91 % (1371047)Instructions burned: 413 (million)
% 20.95/3.91 % (1371050)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=2236207182:s2pl=no:i=8478:s2at=4:nm=6_2977 on theBenchmark for (2977ds/8478Mi)
% 20.95/3.91 % (1370993)First to succeed.
% 20.95/3.91 % (1370993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1370860"
% 20.95/3.91 % (1370993)Refutation found. Thanks to Tanya!
% 20.95/3.91 % SZS status Unsatisfiable for theBenchmark
% 20.95/3.91 % SZS output start Proof for theBenchmark
% See solution above
% 20.95/3.91 % (1370993)------------------------------
% 20.95/3.91 % (1370993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.91 % (1370993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.91 % (1370993)CaDiCaL version: 2.1.3
% 20.95/3.91 % (1370993)Termination reason: Refutation
% 20.95/3.91 % (1370993)Time elapsed: 2.476 s
% 20.95/3.91 % (1370993)Peak memory usage: 156 MB
% 20.95/3.91 % (1370993)Instructions burned: 4260 (million)
% 20.95/3.91 % (1370993)------------------------------
% 20.95/3.91 % (1370993)------------------------------
% 20.95/3.91 % (1370860)Success in time 2.883 s
% 20.95/3.91 % Vampire exiting
%------------------------------------------------------------------------------