%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL038-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:00 AM UTC 2026
% Result : Unsatisfiable 5.80s 2.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 38 unt; 5 def)
% Number of atoms : 131 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 106 ( 54 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 229 ( 229 !; 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,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).
fof(f4,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = implies(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
implies(b,c) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = implies(a,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
implies(a,c) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = implies(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
implies(sF1,sF2) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = implies(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
implies(sF0,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f1,f2]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f15,f1]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X1,X3))) ),
inference(resolution,[],[f32,f2]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X1,X4),X2))
| is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f32,f15]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X3,X4),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X2,X5),X4)) ),
inference(resolution,[],[f42,f15]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(implies(implies(X3,X2),X4),X1)) ),
inference(resolution,[],[f48,f2]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(X3,X1),implies(X0,X1))) ),
inference(resolution,[],[f70,f1]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(implies(X3,X1),implies(X0,X1))) ),
inference(condensation,[],[f90]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X1,X3))),
inference(resolution,[],[f105,f2]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X1,X4),implies(X3,X2))) ),
inference(resolution,[],[f105,f15]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X0),X3))
| is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f111,f1]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,X1)))
| is_a_theorem(implies(implies(X4,X1),implies(X3,X1))) ),
inference(resolution,[],[f127,f2]) ).
fof(f157,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))),
inference(resolution,[],[f140,f2]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f157,f1]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| is_a_theorem(implies(X3,implies(X1,implies(X2,X1)))) ),
inference(resolution,[],[f219,f41]) ).
fof(f243,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f224,f110]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(X3,implies(X2,X3))) ),
inference(resolution,[],[f243,f127]) ).
fof(f272,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f257,f110]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X1,X2))) ),
inference(resolution,[],[f272,f127]) ).
fof(f321,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f290,f110]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X2,X2)) ),
inference(resolution,[],[f321,f127]) ).
fof(f351,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f321,f105]) ).
fof(f390,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
inference(resolution,[],[f343,f351]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f390,f127]) ).
fof(f411,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f390,f105]) ).
fof(f432,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f404,f2]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(X1,X4),X3),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f432,f127]) ).
fof(f499,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(X2,X3),X4),implies(X1,X4)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f452,f105]) ).
fof(f502,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X1,X4),X3))
| is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f452,f1]) ).
fof(f515,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X0,X3),implies(X2,X3))) ),
inference(resolution,[],[f502,f2]) ).
fof(f556,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X0,X3),X2),implies(X1,X2)))),
inference(resolution,[],[f515,f432]) ).
fof(f560,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f515,f272]) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(resolution,[],[f560,f1]) ).
fof(f668,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f411,f1]) ).
fof(f755,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X3),X2),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f556,f1]) ).
fof(f1124,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X3))))
| is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f499,f668]) ).
fof(f1138,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X2,X3),X4))
| is_a_theorem(implies(X1,X4)) ),
inference(resolution,[],[f499,f1]) ).
fof(f1158,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f1138,f2]) ).
fof(f1212,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X4),implies(X0,X3)))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[],[f1158,f15]) ).
fof(f1237,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X2,implies(X0,X3))) ),
inference(resolution,[],[f1212,f755]) ).
fof(f1337,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f1124,f432]) ).
fof(f1384,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f1337,f105]) ).
fof(f1429,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f1384,f590]) ).
fof(f1534,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X2,X3),X2),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f1429,f127]) ).
fof(f1667,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(implies(X2,X3),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f1534,f1]) ).
fof(f1676,plain,
! [X2,X3] :
( ~ is_a_theorem(implies(implies(X2,X3),X2))
| is_a_theorem(X2) ),
inference(condensation,[],[f1667]) ).
fof(f1684,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1676,f755]) ).
fof(f1770,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f1684,f560]) ).
fof(f1776,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1684,f1237]) ).
fof(f1846,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f1770,f1158]) ).
fof(f1866,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(resolution,[],[f1846,f515]) ).
fof(f1911,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X2),X1),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1866,f1]) ).
fof(f1935,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1911,f105]) ).
fof(f2465,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f1935,f1]) ).
fof(f3182,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),implies(X3,X1)))),
inference(resolution,[],[f1776,f2]) ).
fof(f3365,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(X3,X4),X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f3182,f127]) ).
fof(f3451,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(X4,implies(implies(X3,X5),X1)))
| is_a_theorem(implies(X4,implies(X2,X3))) ),
inference(resolution,[],[f3365,f2465]) ).
fof(f3969,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),X4)))
| is_a_theorem(implies(X0,implies(implies(X4,X2),implies(X1,X2)))) ),
inference(resolution,[],[f3451,f2]) ).
fof(f4031,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f3969,f1866]) ).
fof(f4378,plain,
! [X0] : is_a_theorem(implies(implies(a,X0),implies(implies(X0,c),sF2))),
inference(superposition,[],[f4031,f9]) ).
fof(f4845,plain,
is_a_theorem(implies(implies(a,b),implies(sF1,sF2))),
inference(superposition,[],[f4378,f7]) ).
fof(f4846,plain,
is_a_theorem(implies(implies(a,b),sF3)),
inference(forward_demodulation,[],[f4845,f11]) ).
fof(f4851,plain,
is_a_theorem(implies(sF0,sF3)),
inference(forward_demodulation,[],[f4846,f5]) ).
fof(f4853,plain,
is_a_theorem(sF4),
inference(forward_demodulation,[],[f4851,f13]) ).
fof(f4855,plain,
$false,
inference(forward_subsumption_resolution,[],[f4853,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n003.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 15:20:11 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 5.80/2.51 % (688028)Input is clausal, will run a generic CNF schedule.
% 5.80/2.51 % (688128)dis-21_1_sil=8000:lcm=predicate:random_seed=776016806: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)
% 5.80/2.51 % (688128)Instruction limit reached!
% 5.80/2.51 % (688128)------------------------------
% 5.80/2.51 % (688128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688128)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688128)Termination reason: Instruction limit
% 5.80/2.51 % (688128)Termination phase: Saturation
% 5.80/2.51 % (688128)Time elapsed: 0.039 s
% 5.80/2.51 % (688128)Peak memory usage: 88 MB
% 5.80/2.51 % (688128)Instructions burned: 118 (million)
% 5.80/2.51 % (688127)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=448894337:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.80/2.51 % (688124)lrs+10_1_sil=8000:sp=occurrence:random_seed=1459368245:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.80/2.51 % (688119)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=3294691804:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.80/2.51 % (688121)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=100814199:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.80/2.51 % (688122)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=137014324:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.80/2.51 % (688125)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3308675204:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.80/2.51 % (688124)Instruction limit reached!
% 5.80/2.51 % (688124)------------------------------
% 5.80/2.51 % (688124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688124)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688124)Termination reason: Instruction limit
% 5.80/2.51 % (688124)Termination phase: Saturation
% 5.80/2.51 % (688124)Time elapsed: 0.068 s
% 5.80/2.51 % (688124)Peak memory usage: 88 MB
% 5.80/2.51 % (688124)Instructions burned: 108 (million)
% 5.80/2.51 % (688125)Instruction limit reached!
% 5.80/2.51 % (688125)------------------------------
% 5.80/2.51 % (688125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688125)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688125)Termination reason: Instruction limit
% 5.80/2.51 % (688125)Termination phase: Saturation
% 5.80/2.51 % (688125)Time elapsed: 0.072 s
% 5.80/2.51 % (688125)Peak memory usage: 88 MB
% 5.80/2.51 % (688125)Instructions burned: 115 (million)
% 5.80/2.51 % (688161)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=3268418649:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.80/2.51 % (688161)Refutation not found, incomplete strategy
% 5.80/2.51 % (688161)------------------------------
% 5.80/2.51 % (688161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688161)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688161)Termination reason: Refutation not found, incomplete strategy
% 5.80/2.51 % (688161)Time elapsed: 0.001 s
% 5.80/2.51 % (688161)Peak memory usage: 87 MB
% 5.80/2.51 % (688127)Instruction limit reached!
% 5.80/2.51 % (688127)------------------------------
% 5.80/2.51 % (688127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688127)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688127)Termination reason: Instruction limit
% 5.80/2.51 % (688127)Termination phase: Saturation
% 5.80/2.51 % (688127)Time elapsed: 0.122 s
% 5.80/2.51 % (688127)Peak memory usage: 89 MB
% 5.80/2.51 % (688127)Instructions burned: 180 (million)
% 5.80/2.51 % (688176)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2802499954:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.80/2.51 % (688175)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4002607858: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)
% 5.80/2.51 % (688176)Refutation not found, incomplete strategy
% 5.80/2.51 % (688176)------------------------------
% 5.80/2.51 % (688176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688176)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688176)Termination reason: Refutation not found, incomplete strategy
% 5.80/2.51 % (688176)Time elapsed: 0.001 s
% 5.80/2.51 % (688176)Peak memory usage: 87 MB
% 5.80/2.51 % (688178)lrs+10_64_to=lpo:sil=8000:random_seed=2990320965:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.80/2.51 % (688161)------------------------------
% 5.80/2.51 % (688161)------------------------------
% 5.80/2.51 % (688175)Instruction limit reached!
% 5.80/2.51 % (688175)------------------------------
% 5.80/2.51 % (688175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688175)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688175)Termination reason: Instruction limit
% 5.80/2.51 % (688175)Termination phase: Saturation
% 5.80/2.51 % (688175)Time elapsed: 0.110 s
% 5.80/2.51 % (688175)Peak memory usage: 90 MB
% 5.80/2.51 % (688175)Instructions burned: 189 (million)
% 5.80/2.51 % (688178)Instruction limit reached!
% 5.80/2.51 % (688178)------------------------------
% 5.80/2.51 % (688178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688178)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688178)Termination reason: Instruction limit
% 5.80/2.51 % (688178)Termination phase: Saturation
% 5.80/2.51 % (688178)Time elapsed: 0.074 s
% 5.80/2.51 % (688178)Peak memory usage: 88 MB
% 5.80/2.51 % (688178)Instructions burned: 126 (million)
% 5.80/2.51 % (688206)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4093373451:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.80/2.51 % (688206)Instruction limit reached!
% 5.80/2.51 % (688206)------------------------------
% 5.80/2.51 % (688206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688206)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688206)Termination reason: Instruction limit
% 5.80/2.51 % (688206)Termination phase: Saturation
% 5.80/2.51 % (688206)Time elapsed: 0.068 s
% 5.80/2.51 % (688206)Peak memory usage: 89 MB
% 5.80/2.51 % (688206)Instructions burned: 197 (million)
% 5.80/2.51 % (688176)------------------------------
% 5.80/2.51 % (688176)------------------------------
% 5.80/2.51 % (688227)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=464528765:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.80/2.51 % (688231)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3051959529:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.80/2.51 % (688233)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=106424019:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.80/2.51 % (688227)Instruction limit reached!
% 5.80/2.51 % (688227)------------------------------
% 5.80/2.51 % (688227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688227)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688227)Termination reason: Instruction limit
% 5.80/2.51 % (688227)Termination phase: Saturation
% 5.80/2.51 % (688227)Time elapsed: 0.105 s
% 5.80/2.51 % (688227)Peak memory usage: 91 MB
% 5.80/2.51 % (688227)Instructions burned: 158 (million)
% 5.80/2.51 % (688233)Instruction limit reached!
% 5.80/2.51 % (688233)------------------------------
% 5.80/2.51 % (688233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688233)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688233)Termination reason: Instruction limit
% 5.80/2.51 % (688233)Termination phase: Saturation
% 5.80/2.51 % (688233)Time elapsed: 0.032 s
% 5.80/2.51 % (688233)Peak memory usage: 88 MB
% 5.80/2.51 % (688233)Instructions burned: 108 (million)
% 5.80/2.51 % (688234)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1410094290:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 5.80/2.51 % (688234)Refutation not found, incomplete strategy
% 5.80/2.51 % (688234)------------------------------
% 5.80/2.51 % (688234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688234)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688234)Termination reason: Refutation not found, incomplete strategy
% 5.80/2.51 % (688234)Time elapsed: 0.001 s
% 5.80/2.51 % (688234)Peak memory usage: 87 MB
% 5.80/2.51 % (688239)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1261981404:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 5.80/2.51 % (688238)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4202213760:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 5.80/2.51 % (688234)------------------------------
% 5.80/2.51 % (688234)------------------------------
% 5.80/2.51 % (688238)Instruction limit reached!
% 5.80/2.51 % (688238)------------------------------
% 5.80/2.51 % (688238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688238)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688238)Termination reason: Instruction limit
% 5.80/2.51 % (688238)Termination phase: Saturation
% 5.80/2.51 % (688238)Time elapsed: 0.143 s
% 5.80/2.51 % (688238)Peak memory usage: 88 MB
% 5.80/2.51 % (688238)Instructions burned: 243 (million)
% 5.80/2.51 % (688243)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2967181199:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 5.80/2.51 % (688244)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1046284630:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 5.80/2.51 % (688243)Instruction limit reached!
% 5.80/2.51 % (688243)------------------------------
% 5.80/2.51 % (688243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688243)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688243)Termination reason: Instruction limit
% 5.80/2.51 % (688243)Termination phase: Saturation
% 5.80/2.51 % (688243)Time elapsed: 0.087 s
% 5.80/2.51 % (688243)Peak memory usage: 88 MB
% 5.80/2.51 % (688243)Instructions burned: 134 (million)
% 5.80/2.51 % (688247)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=296389887:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 5.80/2.51 % (688244)Instruction limit reached!
% 5.80/2.51 % (688244)------------------------------
% 5.80/2.51 % (688244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688244)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688244)Termination reason: Instruction limit
% 5.80/2.51 % (688244)Termination phase: Saturation
% 5.80/2.51 % (688244)Time elapsed: 0.297 s
% 5.80/2.51 % (688244)Peak memory usage: 91 MB
% 5.80/2.51 % (688244)Instructions burned: 500 (million)
% 5.80/2.51 % (688239)First to succeed.
% 5.80/2.51 % (688239)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-688028"
% 5.80/2.51 % (688247)Instruction limit reached!
% 5.80/2.51 % (688247)------------------------------
% 5.80/2.51 % (688247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/2.51 % (688247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/2.51 % (688247)CaDiCaL version: 2.1.3
% 5.80/2.51 % (688247)Termination reason: Instruction limit
% 5.80/2.51 % (688247)Termination phase: Saturation
% 5.80/2.51 % (688247)Time elapsed: 0.117 s
% 5.80/2.51 % (688247)Peak memory usage: 90 MB
% 5.80/2.51 % (688247)Instructions burned: 192 (million)
% 5.80/2.51 % (688249)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4208592076:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 5.80/2.51 % (688239)Refutation found. Thanks to Tanya!
% 5.80/2.51 % SZS status Unsatisfiable for theBenchmark
% 5.80/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.71 % (688239)------------------------------
% 0.18/2.71 % (688239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.71 % (688239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.71 % (688239)CaDiCaL version: 2.1.3
% 0.18/2.71 % (688239)Termination reason: Refutation
% 0.18/2.71 % (688239)Time elapsed: 0.614 s
% 0.18/2.71 % (688239)Peak memory usage: 136 MB
% 0.18/2.71 % (688239)Instructions burned: 1793 (million)
% 0.18/2.71 % (688239)------------------------------
% 0.18/2.71 % (688239)------------------------------
% 0.18/2.71 % (688028)Success in time 1.656 s
% 0.18/2.71 % Vampire exiting
%------------------------------------------------------------------------------