%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL062-1 : 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 : n004.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 11:51:04 AM UTC 2026
% Result : Unsatisfiable 21.86s 4.06s
% Output : Refutation 21.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 42 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(not(b),c)),implies(a,implies(implies(e,c),implies(implies(b,e),c))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_60) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(unit_resulting_resolution,[],[f1,f6,f6]) ).
fof(f24,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f33,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f10,f24]) ).
fof(f50,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f10,f4]) ).
fof(f51,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f33,f4]) ).
fof(f52,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f79,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f3,f52]) ).
fof(f96,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f52,f50]) ).
fof(f113,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f96]) ).
fof(f296,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f33,f113]) ).
fof(f348,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f79,f296]) ).
fof(f351,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f296]) ).
fof(f428,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
inference(unit_resulting_resolution,[],[f1,f33,f351]) ).
fof(f487,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X0,implies(implies(X3,X1),X2))))),
inference(unit_resulting_resolution,[],[f1,f10,f428]) ).
fof(f554,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(unit_resulting_resolution,[],[f1,f51,f348]) ).
fof(f635,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f487,f554]) ).
fof(f1051,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f33,f635]) ).
fof(f1071,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f52,f1051]) ).
fof(f1084,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f6,f1051]) ).
fof(f1115,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f6,f1051]) ).
fof(f1155,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f3,f1084]) ).
fof(f1186,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X0,X2)),X3),implies(implies(X1,X2),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f1084]) ).
fof(f1212,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(unit_resulting_resolution,[],[f1,f2,f1071]) ).
fof(f1281,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f6,f1115]) ).
fof(f1583,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),X2)),X3),implies(implies(X0,X1),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f1281]) ).
fof(f1685,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(X3,X0),implies(X3,X2)))),
inference(unit_resulting_resolution,[],[f1,f1186,f1583]) ).
fof(f1740,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(unit_resulting_resolution,[],[f1,f1212,f1155]) ).
fof(f1782,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(unit_resulting_resolution,[],[f1,f6,f1155]) ).
fof(f1834,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(not(X1),X0),X2))),
inference(unit_resulting_resolution,[],[f1,f2,f1782]) ).
fof(f1881,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f1084,f1740]) ).
fof(f2502,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(unit_resulting_resolution,[],[f1,f6,f1881]) ).
fof(f2603,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f1,f1834,f2502]) ).
fof(f2657,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(not(X1),X2),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f10,f2603]) ).
fof(f4963,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X2),X1),implies(implies(X2,X0),X1)))),
inference(unit_resulting_resolution,[],[f1,f1186,f2657]) ).
fof(f12843,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X3,implies(X0,X2))))),
inference(unit_resulting_resolution,[],[f1,f6,f1685]) ).
fof(f13044,plain,
~ is_a_theorem(implies(implies(e,c),implies(implies(not(b),c),implies(implies(b,e),c)))),
inference(unit_resulting_resolution,[],[f1,f5,f12843]) ).
fof(f13136,plain,
$false,
inference(forward_subsumption_resolution,[],[f13044,f4963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL062-1 : 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 : n004.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 15:20:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 11.38/2.59 % (3652179)Input is clausal, will run a generic CNF schedule.
% 11.38/2.59 % (3652190)dis-21_1_sil=8000:lcm=predicate:random_seed=789716387: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)
% 11.38/2.59 % (3652186)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4004047197:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.38/2.59 % (3652189)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1464703015:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.38/2.59 % (3652187)lrs+10_1_sil=8000:sp=occurrence:random_seed=1328786463:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.38/2.59 % (3652185)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2324820155:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.38/2.59 % (3652184)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=957478394:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.38/2.59 % (3652188)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=944773611:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.38/2.59 % (3652190)Instruction limit reached!
% 11.38/2.59 % (3652190)------------------------------
% 11.38/2.59 % (3652190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.59 % (3652190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.59 % (3652190)CaDiCaL version: 2.1.3
% 11.38/2.59 % (3652190)Termination reason: Instruction limit
% 11.38/2.59 % (3652190)Termination phase: Saturation
% 11.38/2.59 % (3652190)Time elapsed: 0.039 s
% 11.38/2.59 % (3652190)Peak memory usage: 88 MB
% 11.38/2.59 % (3652190)Instructions burned: 120 (million)
% 11.38/2.59 % (3652187)Instruction limit reached!
% 11.38/2.59 % (3652187)------------------------------
% 11.38/2.59 % (3652187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.59 % (3652187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.59 % (3652187)CaDiCaL version: 2.1.3
% 11.38/2.59 % (3652187)Termination reason: Instruction limit
% 11.38/2.59 % (3652187)Termination phase: Saturation
% 11.38/2.59 % (3652187)Time elapsed: 0.069 s
% 11.38/2.59 % (3652187)Peak memory usage: 88 MB
% 11.38/2.59 % (3652187)Instructions burned: 108 (million)
% 11.38/2.59 % (3652188)Instruction limit reached!
% 11.38/2.59 % (3652188)------------------------------
% 11.38/2.59 % (3652188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.59 % (3652188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.59 % (3652188)CaDiCaL version: 2.1.3
% 11.38/2.59 % (3652188)Termination reason: Instruction limit
% 11.38/2.59 % (3652188)Termination phase: Saturation
% 11.38/2.59 % (3652188)Time elapsed: 0.072 s
% 11.38/2.59 % (3652188)Peak memory usage: 88 MB
% 11.38/2.59 % (3652188)Instructions burned: 115 (million)
% 11.38/2.59 % (3652189)Instruction limit reached!
% 11.38/2.59 % (3652189)------------------------------
% 11.38/2.59 % (3652189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.59 % (3652189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.59 % (3652189)CaDiCaL version: 2.1.3
% 11.38/2.59 % (3652189)Termination reason: Instruction limit
% 11.38/2.59 % (3652189)Termination phase: Saturation
% 11.38/2.59 % (3652189)Time elapsed: 0.117 s
% 11.38/2.59 % (3652189)Peak memory usage: 89 MB
% 11.38/2.59 % (3652189)Instructions burned: 180 (million)
% 11.38/2.59 % (3652198)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=1494352705:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.38/2.59 % (3652198)Refutation not found, incomplete strategy
% 11.38/2.59 % (3652198)------------------------------
% 11.38/2.59 % (3652198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.59 % (3652198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.59 % (3652198)CaDiCaL version: 2.1.3
% 11.38/2.59 % (3652198)Termination reason: Refutation not found, incomplete strategy
% 11.38/2.59 % (3652198)Time elapsed: 0.0000 s
% 11.38/2.59 % (3652198)Peak memory usage: 87 MB
% 11.38/2.59 % (3652202)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3548395575: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)
% 18.67/3.69 % (3652204)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=700713257:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 18.67/3.69 % (3652204)Refutation not found, incomplete strategy
% 18.67/3.69 % (3652204)------------------------------
% 18.67/3.69 % (3652204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/3.69 % (3652204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/3.69 % (3652204)CaDiCaL version: 2.1.3
% 18.67/3.69 % (3652204)Termination reason: Refutation not found, incomplete strategy
% 18.67/3.69 % (3652204)Time elapsed: 0.001 s
% 18.67/3.69 % (3652204)Peak memory usage: 87 MB
% 18.67/3.69 % (3652221)lrs+10_64_to=lpo:sil=8000:random_seed=3746957959:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 18.67/3.69 % (3652198)------------------------------
% 18.67/3.69 % (3652198)------------------------------
% 18.67/3.69 % (3652202)Instruction limit reached!
% 18.67/3.69 % (3652202)------------------------------
% 18.67/3.69 % (3652202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/3.69 % (3652202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/3.69 % (3652202)CaDiCaL version: 2.1.3
% 18.67/3.69 % (3652202)Termination reason: Instruction limit
% 18.67/3.69 % (3652202)Termination phase: Saturation
% 18.67/3.69 % (3652202)Time elapsed: 0.110 s
% 18.67/3.69 % (3652202)Peak memory usage: 89 MB
% 18.67/3.69 % (3652202)Instructions burned: 190 (million)
% 18.67/3.69 % (3652221)Instruction limit reached!
% 18.67/3.69 % (3652221)------------------------------
% 18.67/3.69 % (3652221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/3.69 % (3652221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/3.69 % (3652221)CaDiCaL version: 2.1.3
% 18.67/3.69 % (3652221)Termination reason: Instruction limit
% 18.67/3.69 % (3652221)Termination phase: Saturation
% 18.67/3.69 % (3652221)Time elapsed: 0.080 s
% 18.67/3.69 % (3652221)Peak memory usage: 88 MB
% 18.67/3.69 % (3652221)Instructions burned: 126 (million)
% 18.67/3.69 % (3652278)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=322686170:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 18.67/3.69 % (3652278)Instruction limit reached!
% 18.67/3.69 % (3652278)------------------------------
% 18.67/3.69 % (3652278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/3.69 % (3652278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/3.69 % (3652278)CaDiCaL version: 2.1.3
% 18.67/3.69 % (3652278)Termination reason: Instruction limit
% 18.67/3.69 % (3652278)Termination phase: Saturation
% 18.67/3.69 % (3652278)Time elapsed: 0.071 s
% 18.67/3.69 % (3652278)Peak memory usage: 90 MB
% 18.67/3.69 % (3652278)Instructions burned: 195 (million)
% 18.67/3.69 % (3652204)------------------------------
% 18.67/3.69 % (3652204)------------------------------
% 18.67/3.69 % (3652294)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1216821673:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 18.67/3.69 % (3652299)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=628170621:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 18.67/3.69 % (3652324)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=1069264748:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 18.67/3.69 % (3652294)Instruction limit reached!
% 18.67/3.69 % (3652294)------------------------------
% 18.67/3.69 % (3652294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/3.69 % (3652294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/3.69 % (3652294)CaDiCaL version: 2.1.3
% 18.67/3.69 % (3652294)Termination reason: Instruction limit
% 18.67/3.69 % (3652294)Termination phase: Saturation
% 18.67/3.69 % (3652294)Time elapsed: 0.106 s
% 18.67/3.69 % (3652294)Peak memory usage: 91 MB
% 18.67/3.69 % (3652294)Instructions burned: 158 (million)
% 18.67/3.69 % (3652324)Instruction limit reached!
% 18.67/3.69 % (3652324)------------------------------
% 18.67/3.69 % (3652324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/3.69 % (3652324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652324)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652324)Termination reason: Instruction limit
% 17.68/3.92 % (3652324)Termination phase: Saturation
% 17.68/3.92 % (3652324)Time elapsed: 0.032 s
% 17.68/3.92 % (3652324)Peak memory usage: 88 MB
% 17.68/3.92 % (3652324)Instructions burned: 110 (million)
% 17.68/3.92 % (3652341)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=255986455:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 17.68/3.92 % (3652341)Refutation not found, incomplete strategy
% 17.68/3.92 % (3652341)------------------------------
% 17.68/3.92 % (3652341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652341)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652341)Termination reason: Refutation not found, incomplete strategy
% 17.68/3.92 % (3652341)Time elapsed: 0.001 s
% 17.68/3.92 % (3652341)Peak memory usage: 87 MB
% 17.68/3.92 % (3652368)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3936435743:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 17.68/3.92 % (3652367)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=430207385:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 17.68/3.92 % (3652341)------------------------------
% 17.68/3.92 % (3652341)------------------------------
% 17.68/3.92 % (3652367)Instruction limit reached!
% 17.68/3.92 % (3652367)------------------------------
% 17.68/3.92 % (3652367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652367)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652367)Termination reason: Instruction limit
% 17.68/3.92 % (3652367)Termination phase: Saturation
% 17.68/3.92 % (3652367)Time elapsed: 0.154 s
% 17.68/3.92 % (3652367)Peak memory usage: 89 MB
% 17.68/3.92 % (3652367)Instructions burned: 243 (million)
% 17.68/3.92 % (3652372)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1512227919:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 17.68/3.92 % (3652373)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=99381106:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 17.68/3.92 % (3652372)Instruction limit reached!
% 17.68/3.92 % (3652372)------------------------------
% 17.68/3.92 % (3652372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652372)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652372)Termination reason: Instruction limit
% 17.68/3.92 % (3652372)Termination phase: Saturation
% 17.68/3.92 % (3652372)Time elapsed: 0.087 s
% 17.68/3.92 % (3652372)Peak memory usage: 89 MB
% 17.68/3.92 % (3652372)Instructions burned: 135 (million)
% 17.68/3.92 % (3652376)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1375472503:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 17.68/3.92 % (3652373)Instruction limit reached!
% 17.68/3.92 % (3652373)------------------------------
% 17.68/3.92 % (3652373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652373)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652373)Termination reason: Instruction limit
% 17.68/3.92 % (3652373)Termination phase: Saturation
% 17.68/3.92 % (3652373)Time elapsed: 0.284 s
% 17.68/3.92 % (3652373)Peak memory usage: 93 MB
% 17.68/3.92 % (3652373)Instructions burned: 499 (million)
% 17.68/3.92 % (3652376)Instruction limit reached!
% 17.68/3.92 % (3652376)------------------------------
% 17.68/3.92 % (3652376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652376)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652376)Termination reason: Instruction limit
% 17.68/3.92 % (3652376)Termination phase: Saturation
% 17.68/3.92 % (3652376)Time elapsed: 0.123 s
% 17.68/3.92 % (3652376)Peak memory usage: 91 MB
% 17.68/3.92 % (3652376)Instructions burned: 191 (million)
% 17.68/3.92 % (3652378)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3349817374:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 17.68/3.92 % (3652379)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2397986985:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 17.68/3.92 % (3652379)Instruction limit reached!
% 17.68/3.92 % (3652379)------------------------------
% 17.68/3.92 % (3652379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652379)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652379)Termination reason: Instruction limit
% 17.68/3.92 % (3652379)Termination phase: Saturation
% 17.68/3.92 % (3652379)Time elapsed: 0.087 s
% 17.68/3.92 % (3652379)Peak memory usage: 88 MB
% 17.68/3.92 % (3652379)Instructions burned: 156 (million)
% 17.68/3.92 % (3652378)Instruction limit reached!
% 17.68/3.92 % (3652378)------------------------------
% 17.68/3.92 % (3652378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652378)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652378)Termination reason: Instruction limit
% 17.68/3.92 % (3652378)Termination phase: Saturation
% 17.68/3.92 % (3652378)Time elapsed: 0.167 s
% 17.68/3.92 % (3652378)Peak memory usage: 91 MB
% 17.68/3.92 % (3652378)Instructions burned: 264 (million)
% 17.68/3.92 % (3652383)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2733562988:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 17.68/3.92 % (3652382)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=1030332283:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 17.68/3.92 % (3652299)Instruction limit reached!
% 17.68/3.92 % (3652299)------------------------------
% 17.68/3.92 % (3652299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652299)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652299)Termination reason: Instruction limit
% 17.68/3.92 % (3652299)Termination phase: Saturation
% 17.68/3.92 % (3652299)Time elapsed: 1.353 s
% 17.68/3.92 % (3652299)Peak memory usage: 151 MB
% 17.68/3.92 % (3652299)Instructions burned: 3397 (million)
% 17.68/3.92 % (3652386)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1594596793:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 17.68/3.92 % (3652386)Instruction limit reached!
% 17.68/3.92 % (3652386)------------------------------
% 17.68/3.92 % (3652386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652386)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652386)Termination reason: Instruction limit
% 17.68/3.92 % (3652386)Termination phase: Saturation
% 17.68/3.92 % (3652386)Time elapsed: 0.052 s
% 17.68/3.92 % (3652386)Peak memory usage: 88 MB
% 17.68/3.92 % (3652386)Instructions burned: 180 (million)
% 17.68/3.92 % (3652383)Instruction limit reached!
% 17.68/3.92 % (3652383)------------------------------
% 17.68/3.92 % (3652383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.68/3.92 % (3652383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.68/3.92 % (3652383)CaDiCaL version: 2.1.3
% 17.68/3.92 % (3652383)Termination reason: Instruction limit
% 17.68/3.92 % (3652383)Termination phase: Saturation
% 17.68/3.92 % (3652383)Time elapsed: 0.333 s
% 17.68/3.92 % (3652383)Peak memory usage: 91 MB
% 17.68/3.92 % (3652383)Instructions burned: 537 (million)
% 17.68/3.92 % (3652388)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=2139460398:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 17.68/3.92 % (3652389)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=212339620:i=412:gtgl=4:gtg=exists_all_2976 on theBenchmark for (2976ds/412Mi)
% 17.68/3.92 % (3652185)First to succeed.
% 17.68/3.92 % (3652185)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3652179"
% 17.68/3.92 % (3652389)Instruction limit reached!
% 17.68/3.92 % (3652389)------------------------------
% 17.68/3.92 % (3652389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/4.06 % (3652389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/4.06 % (3652389)CaDiCaL version: 2.1.3
% 21.86/4.06 % (3652389)Termination reason: Instruction limit
% 21.86/4.06 % (3652389)Termination phase: Saturation
% 21.86/4.06 % (3652389)Time elapsed: 0.268 s
% 21.86/4.06 % (3652389)Peak memory usage: 94 MB
% 21.86/4.06 % (3652389)Instructions burned: 413 (million)
% 21.86/4.06 % (3652392)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=725214439:s2pl=no:i=8478:s2at=4:nm=6_2971 on theBenchmark for (2971ds/8478Mi)
% 21.86/4.06 % (3652185)Refutation found. Thanks to Tanya!
% 21.86/4.06 % SZS status Unsatisfiable for theBenchmark
% 21.86/4.06 % SZS output start Proof for theBenchmark
% See solution above
% 21.86/4.06 % (3652185)------------------------------
% 21.86/4.06 % (3652185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/4.06 % (3652185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/4.06 % (3652185)CaDiCaL version: 2.1.3
% 21.86/4.06 % (3652185)Termination reason: Refutation
% 21.86/4.06 % (3652185)Time elapsed: 2.532 s
% 21.86/4.06 % (3652185)Peak memory usage: 160 MB
% 21.86/4.06 % (3652185)Instructions burned: 4374 (million)
% 21.86/4.06 % (3652185)------------------------------
% 21.86/4.06 % (3652185)------------------------------
% 21.86/4.06 % (3652179)Success in time 3.03 s
% 21.86/4.06 % Vampire exiting
%------------------------------------------------------------------------------