%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL405-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:52:19 AM UTC 2026
% Result : Unsatisfiable 13.21s 2.56s
% Output : Refutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 10
% Syntax : Number of formulae : 93 ( 46 unt; 5 def)
% Number of atoms : 150 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 59 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 215 ( 215 !; 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(not(implies(implies(x,x),not(implies(y,y))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_71) ).
fof(f6,definition,
sF0 = implies(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(x,x) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = implies(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
implies(y,y) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = implies(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
implies(sF0,sF2) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f5,f15,f13,f11,f9,f7]) ).
fof(f17,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f28,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f17,f1]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f49,f2]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f49,f17]) ).
fof(f59,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f49,f3]) ).
fof(f68,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f59,f4]) ).
fof(f75,plain,
is_a_theorem(sF1),
inference(superposition,[],[f68,f9]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f57,f2]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f57,f17]) ).
fof(f81,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f57,f4]) ).
fof(f87,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f81,f59]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
inference(resolution,[],[f79,f59]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2)))) ),
inference(resolution,[],[f79,f49]) ).
fof(f109,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f18,f87]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2)))) ),
inference(resolution,[],[f101,f4]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f80,f3]) ).
fof(f268,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f171,f4]) ).
fof(f310,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f199,f268]) ).
fof(f312,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f199,f68]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[],[f310,f49]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f310,f1]) ).
fof(f360,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f325,f2]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f325,f17]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(implies(X1,not(X4)),implies(X0,implies(X4,X3)))) ),
inference(resolution,[],[f360,f101]) ).
fof(f403,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f362,f360]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f403,f1]) ).
fof(f430,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))),
inference(resolution,[],[f420,f2]) ).
fof(f448,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(implies(X0,X2),implies(X1,X2)))),
inference(resolution,[],[f383,f312]) ).
fof(f470,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f448,f326]) ).
fof(f489,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f470,f325]) ).
fof(f493,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f470,f57]) ).
fof(f507,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f489,f99]) ).
fof(f535,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f507,f1]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f430,f1]) ).
fof(f645,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(sF2,X0),X1),implies(X2,X1)))
| ~ is_a_theorem(sF1) ),
inference(superposition,[],[f619,f11]) ).
fof(f649,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(sF2,X0),X1),implies(X2,X1))),
inference(forward_subsumption_resolution,[],[f645,f75]) ).
fof(f660,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(sF2,X0),X1),X1)),
inference(resolution,[],[f649,f59]) ).
fof(f791,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f493,f535]) ).
fof(f819,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f791,f17]) ).
fof(f834,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f791,f109]) ).
fof(f889,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(resolution,[],[f834,f49]) ).
fof(f890,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f834,f1]) ).
fof(f902,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f834,f326]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),implies(X4,X3))) ),
inference(resolution,[],[f889,f2]) ).
fof(f971,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,sF2),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f948,f660]) ).
fof(f1143,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X2,X1))) ),
inference(resolution,[],[f819,f17]) ).
fof(f1181,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,sF2),implies(X0,X1))),
inference(resolution,[],[f971,f59]) ).
fof(f1408,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f902,f3]) ).
fof(f1442,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X0),implies(X1,X0))),
inference(resolution,[],[f1408,f1143]) ).
fof(f1486,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,X0),X0),X0)),
inference(resolution,[],[f1442,f59]) ).
fof(f1501,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1486,f49]) ).
fof(f1520,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f1501,f17]) ).
fof(f1553,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1520,f109]) ).
fof(f1956,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f1553,f49]) ).
fof(f1982,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,X0)))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1956,f56]) ).
fof(f1987,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f1956,f312]) ).
fof(f2080,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(not(X0),implies(X0,X1))) ),
inference(resolution,[],[f1982,f489]) ).
fof(f2623,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f2080,f660]) ).
fof(f2672,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f2623,f99]) ).
fof(f2677,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f2623,f57]) ).
fof(f2685,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f2623,f59]) ).
fof(f2786,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(resolution,[],[f2672,f890]) ).
fof(f3205,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2677,f99]) ).
fof(f3268,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f3205,f1]) ).
fof(f3465,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f2786,f1408]) ).
fof(f3550,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f3465,f1987]) ).
fof(f3804,plain,
! [X0] : is_a_theorem(implies(implies(sF0,X0),X0)),
inference(superposition,[],[f3550,f7]) ).
fof(f3816,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(sF0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3804,f49]) ).
fof(f4056,plain,
! [X0] : is_a_theorem(implies(implies(sF0,sF2),X0)),
inference(resolution,[],[f3816,f1181]) ).
fof(f4091,plain,
! [X0] : is_a_theorem(implies(sF3,X0)),
inference(forward_demodulation,[],[f4056,f13]) ).
fof(f4110,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,sF3))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4091,f3268]) ).
fof(f4131,plain,
! [X0] : is_a_theorem(implies(not(not(sF3)),X0)),
inference(resolution,[],[f4110,f2685]) ).
fof(f4149,plain,
! [X0] : is_a_theorem(implies(not(sF4),X0)),
inference(forward_demodulation,[],[f4131,f15]) ).
fof(f4156,plain,
is_a_theorem(sF4),
inference(resolution,[],[f4149,f28]) ).
fof(f4206,plain,
$false,
inference(forward_subsumption_resolution,[],[f4156,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL405-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.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 15:35:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 12.44/2.48 % (2750552)Input is clausal, will run a generic CNF schedule.
% 12.44/2.48 % (2750564)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=915633498:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.44/2.48 % (2750564)Instruction limit reached!
% 12.44/2.48 % (2750564)------------------------------
% 12.44/2.48 % (2750564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.44/2.48 % (2750564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.48 % (2750564)CaDiCaL version: 2.1.3
% 12.44/2.48 % (2750564)Termination reason: Instruction limit
% 12.44/2.48 % (2750564)Termination phase: Saturation
% 12.44/2.48 % (2750564)Time elapsed: 0.039 s
% 12.44/2.48 % (2750564)Peak memory usage: 88 MB
% 12.44/2.48 % (2750564)Instructions burned: 116 (million)
% 12.44/2.48 % (2750559)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3976711057:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.44/2.48 % (2750558)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=1547244108:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.44/2.48 % (2750560)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=492356731:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.44/2.48 % (2750562)lrs+10_1_sil=8000:sp=occurrence:random_seed=2335390659:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.44/2.48 % (2750567)dis-21_1_sil=8000:lcm=predicate:random_seed=31589219: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)
% 12.44/2.48 % (2750565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2038561462:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.44/2.48 % (2750573)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=2710436524:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.44/2.48 % (2750573)Refutation not found, incomplete strategy
% 12.44/2.48 % (2750573)------------------------------
% 12.44/2.48 % (2750573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.44/2.48 % (2750573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.48 % (2750573)CaDiCaL version: 2.1.3
% 12.44/2.48 % (2750573)Termination reason: Refutation not found, incomplete strategy
% 12.44/2.48 % (2750573)Time elapsed: 0.001 s
% 12.44/2.48 % (2750573)Peak memory usage: 87 MB
% 12.44/2.48 % (2750562)Instruction limit reached!
% 12.44/2.48 % (2750562)------------------------------
% 12.44/2.48 % (2750562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.44/2.48 % (2750562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.48 % (2750562)CaDiCaL version: 2.1.3
% 12.44/2.48 % (2750562)Termination reason: Instruction limit
% 12.44/2.48 % (2750562)Termination phase: Saturation
% 12.44/2.48 % (2750562)Time elapsed: 0.101 s
% 12.44/2.48 % (2750562)Peak memory usage: 88 MB
% 12.44/2.48 % (2750562)Instructions burned: 107 (million)
% 12.44/2.48 % (2750567)Instruction limit reached!
% 12.44/2.48 % (2750567)------------------------------
% 12.44/2.48 % (2750567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.44/2.48 % (2750567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.48 % (2750567)CaDiCaL version: 2.1.3
% 12.44/2.48 % (2750567)Termination reason: Instruction limit
% 12.44/2.48 % (2750567)Termination phase: Saturation
% 12.44/2.48 % (2750567)Time elapsed: 0.106 s
% 12.44/2.48 % (2750567)Peak memory usage: 88 MB
% 12.44/2.48 % (2750567)Instructions burned: 117 (million)
% 12.44/2.48 % (2750565)Instruction limit reached!
% 12.44/2.48 % (2750565)------------------------------
% 12.44/2.48 % (2750565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.44/2.48 % (2750565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.48 % (2750565)CaDiCaL version: 2.1.3
% 12.44/2.48 % (2750565)Termination reason: Instruction limit
% 12.44/2.48 % (2750565)Termination phase: Saturation
% 12.44/2.48 % (2750565)Time elapsed: 0.185 s
% 12.44/2.48 % (2750565)Peak memory usage: 89 MB
% 12.44/2.48 % (2750565)Instructions burned: 180 (million)
% 12.44/2.48 % (2750588)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3347866263: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)
% 13.21/2.56 % (2750573)------------------------------
% 13.21/2.56 % (2750573)------------------------------
% 13.21/2.56 % (2750589)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=328852564:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 13.21/2.56 % (2750589)Refutation not found, incomplete strategy
% 13.21/2.56 % (2750589)------------------------------
% 13.21/2.56 % (2750589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750589)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750589)Termination reason: Refutation not found, incomplete strategy
% 13.21/2.56 % (2750589)Time elapsed: 0.001 s
% 13.21/2.56 % (2750589)Peak memory usage: 87 MB
% 13.21/2.56 % (2750590)lrs+10_64_to=lpo:sil=8000:random_seed=34889249:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 13.21/2.56 % (2750588)Instruction limit reached!
% 13.21/2.56 % (2750588)------------------------------
% 13.21/2.56 % (2750588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750588)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750588)Termination reason: Instruction limit
% 13.21/2.56 % (2750588)Termination phase: Saturation
% 13.21/2.56 % (2750588)Time elapsed: 0.159 s
% 13.21/2.56 % (2750588)Peak memory usage: 89 MB
% 13.21/2.56 % (2750588)Instructions burned: 189 (million)
% 13.21/2.56 % (2750592)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2507063920:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 13.21/2.56 % (2750590)Instruction limit reached!
% 13.21/2.56 % (2750590)------------------------------
% 13.21/2.56 % (2750590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750590)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750590)Termination reason: Instruction limit
% 13.21/2.56 % (2750590)Termination phase: Saturation
% 13.21/2.56 % (2750590)Time elapsed: 0.128 s
% 13.21/2.56 % (2750590)Peak memory usage: 88 MB
% 13.21/2.56 % (2750590)Instructions burned: 126 (million)
% 13.21/2.56 % (2750592)Instruction limit reached!
% 13.21/2.56 % (2750592)------------------------------
% 13.21/2.56 % (2750592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750592)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750592)Termination reason: Instruction limit
% 13.21/2.56 % (2750592)Termination phase: Saturation
% 13.21/2.56 % (2750592)Time elapsed: 0.114 s
% 13.21/2.56 % (2750592)Peak memory usage: 90 MB
% 13.21/2.56 % (2750592)Instructions burned: 196 (million)
% 13.21/2.56 % (2750598)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3479844732:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 13.21/2.56 % (2750589)------------------------------
% 13.21/2.56 % (2750589)------------------------------
% 13.21/2.56 % (2750602)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=300547584:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 13.21/2.56 % (2750601)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2072088133:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 13.21/2.56 % (2750602)Instruction limit reached!
% 13.21/2.56 % (2750602)------------------------------
% 13.21/2.56 % (2750602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750602)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750602)Termination reason: Instruction limit
% 13.21/2.56 % (2750602)Termination phase: Saturation
% 13.21/2.56 % (2750602)Time elapsed: 0.051 s
% 13.21/2.56 % (2750602)Peak memory usage: 88 MB
% 13.21/2.56 % (2750602)Instructions burned: 106 (million)
% 13.21/2.56 % (2750598)Instruction limit reached!
% 13.21/2.56 % (2750598)------------------------------
% 13.21/2.56 % (2750598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750598)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750598)Termination reason: Instruction limit
% 13.21/2.56 % (2750598)Termination phase: Saturation
% 13.21/2.56 % (2750598)Time elapsed: 0.116 s
% 13.21/2.56 % (2750598)Peak memory usage: 90 MB
% 13.21/2.56 % (2750598)Instructions burned: 157 (million)
% 13.21/2.56 % (2750606)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3672887252:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 13.21/2.56 % (2750606)Refutation not found, incomplete strategy
% 13.21/2.56 % (2750606)------------------------------
% 13.21/2.56 % (2750606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750606)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750606)Termination reason: Refutation not found, incomplete strategy
% 13.21/2.56 % (2750606)Time elapsed: 0.001 s
% 13.21/2.56 % (2750606)Peak memory usage: 86 MB
% 13.21/2.56 % (2750610)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=291009792:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 13.21/2.56 % (2750609)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3475784516:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 13.21/2.56 % (2750609)Instruction limit reached!
% 13.21/2.56 % (2750609)------------------------------
% 13.21/2.56 % (2750609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750609)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750609)Termination reason: Instruction limit
% 13.21/2.56 % (2750609)Termination phase: Saturation
% 13.21/2.56 % (2750609)Time elapsed: 0.160 s
% 13.21/2.56 % (2750609)Peak memory usage: 89 MB
% 13.21/2.56 % (2750609)Instructions burned: 242 (million)
% 13.21/2.56 % (2750606)------------------------------
% 13.21/2.56 % (2750606)------------------------------
% 13.21/2.56 % (2750628)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1783928406:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 13.21/2.56 % (2750636)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=876818421:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 13.21/2.56 % (2750628)Instruction limit reached!
% 13.21/2.56 % (2750628)------------------------------
% 13.21/2.56 % (2750628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750628)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750628)Termination reason: Instruction limit
% 13.21/2.56 % (2750628)Termination phase: Saturation
% 13.21/2.56 % (2750628)Time elapsed: 0.087 s
% 13.21/2.56 % (2750628)Peak memory usage: 89 MB
% 13.21/2.56 % (2750628)Instructions burned: 134 (million)
% 13.21/2.56 % (2750702)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2534799982:i=191:fgj=on:bd=all_2984 on theBenchmark for (2984ds/191Mi)
% 13.21/2.56 % (2750558)First to succeed.
% 13.21/2.56 % (2750558)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2750552"
% 13.21/2.56 % (2750636)Instruction limit reached!
% 13.21/2.56 % (2750636)------------------------------
% 13.21/2.56 % (2750636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750636)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750636)Termination reason: Instruction limit
% 13.21/2.56 % (2750636)Termination phase: Saturation
% 13.21/2.56 % (2750636)Time elapsed: 0.285 s
% 13.21/2.56 % (2750636)Peak memory usage: 93 MB
% 13.21/2.56 % (2750636)Instructions burned: 500 (million)
% 13.21/2.56 % (2750702)Instruction limit reached!
% 13.21/2.56 % (2750702)------------------------------
% 13.21/2.56 % (2750702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.56 % (2750702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.56 % (2750702)CaDiCaL version: 2.1.3
% 13.21/2.56 % (2750702)Termination reason: Instruction limit
% 13.21/2.56 % (2750702)Termination phase: Saturation
% 13.21/2.56 % (2750702)Time elapsed: 0.126 s
% 13.21/2.56 % (2750702)Peak memory usage: 91 MB
% 13.21/2.56 % (2750702)Instructions burned: 191 (million)
% 13.21/2.56 % (2750732)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2259577190:i=264:kws=precedence:fsr=off_2982 on theBenchmark for (2982ds/264Mi)
% 13.21/2.56 % (2750756)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1385400671:cond=on:i=156:bs=on:gtg=exists_all:er=known_2982 on theBenchmark for (2982ds/156Mi)
% 13.21/2.56 % (2750558)Refutation found. Thanks to Tanya!
% 13.21/2.56 % SZS status Unsatisfiable for theBenchmark
% 13.21/2.56 % SZS output start Proof for theBenchmark
% See solution above
% 13.94/2.66 % (2750558)------------------------------
% 13.94/2.66 % (2750558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.66 % (2750558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.66 % (2750558)CaDiCaL version: 2.1.3
% 13.94/2.66 % (2750558)Termination reason: Refutation
% 13.94/2.66 % (2750558)Time elapsed: 1.476 s
% 13.94/2.66 % (2750558)Peak memory usage: 136 MB
% 13.94/2.66 % (2750558)Instructions burned: 1803 (million)
% 13.94/2.66 % (2750558)------------------------------
% 13.94/2.66 % (2750558)------------------------------
% 13.94/2.66 % (2750552)Success in time 1.945 s
% 13.94/2.66 % Vampire exiting
%------------------------------------------------------------------------------