%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL403+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:52:18 AM UTC 2026
% Result : Theorem 19.43s 4.05s
% Output : Refutation 21.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 10
% Syntax : Number of formulae : 100 ( 57 unt; 5 def)
% Number of atoms : 157 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 59 ~; 55 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 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 : 220 ( 220 !; 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,
! [X0,X1,X2] : 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,conjecture,
is_a_theorem(implies(x,implies(not(y),not(implies(x,y))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_69) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(x,implies(not(y),not(implies(x,y))))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(x,implies(not(y),not(implies(x,y))))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
~ is_a_theorem(implies(x,implies(not(y),not(implies(x,y))))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,definition,
sF0 = not(y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
not(y) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
implies(x,y) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF3 = implies(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
implies(sF0,sF2) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF4 = implies(x,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f24,plain,
implies(x,sF3) = sF4,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f14,f24,f22,f20,f18,f16]) ).
fof(f26,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f10,f11]) ).
fof(f27,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f10]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f26,f10]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) ),
inference(resolution,[],[f71,f11]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f71,f26]) ).
fof(f81,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f71,f12]) ).
fof(f94,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f81,f13]) ).
fof(f101,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,[],[f79,f11]) ).
fof(f102,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,[],[f79,f26]) ).
fof(f103,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f79,f13]) ).
fof(f109,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f103,f81]) ).
fof(f116,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,[],[f101,f81]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f101,f71]) ).
fof(f131,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,[],[f102,f12]) ).
fof(f159,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f131,f94]) ).
fof(f164,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f109,f27]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))) ),
inference(resolution,[],[f118,f13]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f164,f79]) ).
fof(f306,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f197,f13]) ).
fof(f318,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f306,f131]) ).
fof(f346,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f286,f13]) ).
fof(f368,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f346,f12]) ).
fof(f384,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f368,f346]) ).
fof(f398,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f384,f131]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f398,f10]) ).
fof(f424,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f419,f159]) ).
fof(f449,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[],[f424,f116]) ).
fof(f463,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(not(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f449,f71]) ).
fof(f488,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f463,f11]) ).
fof(f497,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f463,f306]) ).
fof(f501,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,implies(not(X2),X1))) ),
inference(resolution,[],[f463,f78]) ).
fof(f516,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(resolution,[],[f497,f463]) ).
fof(f519,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f497,f71]) ).
fof(f566,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f519,f71]) ).
fof(f704,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f566,f13]) ).
fof(f727,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f704,f516]) ).
fof(f758,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f727,f131]) ).
fof(f787,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f758,f10]) ).
fof(f806,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f787,f488]) ).
fof(f832,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f806,f79]) ).
fof(f848,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f832,f159]) ).
fof(f861,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f832,f13]) ).
fof(f885,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f861,f116]) ).
fof(f887,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1))),
inference(resolution,[],[f861,f131]) ).
fof(f956,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f885,f71]) ).
fof(f1032,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f848,f704]) ).
fof(f1033,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f848,f346]) ).
fof(f1088,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f1033,f116]) ).
fof(f1114,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f1032,f131]) ).
fof(f1147,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1114,f10]) ).
fof(f1185,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f956,f11]) ).
fof(f1205,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) ),
inference(resolution,[],[f956,f78]) ).
fof(f1217,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X1),X0),X1))),
inference(resolution,[],[f1185,f832]) ).
fof(f1502,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2))),
inference(resolution,[],[f1205,f398]) ).
fof(f1539,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f1502,f79]) ).
fof(f1608,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1217,f10]) ).
fof(f1751,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1608,f10]) ).
fof(f1777,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1751,f368]) ).
fof(f1830,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1777,f78]) ).
fof(f2398,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1539,f10]) ).
fof(f2838,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X3),X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f2398,f26]) ).
fof(f2915,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X3)))
| ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2838,f78]) ).
fof(f2949,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
| is_a_theorem(implies(implies(X3,X0),implies(X3,X2))) ),
inference(resolution,[],[f2915,f1088]) ).
fof(f3132,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f2949,f318]) ).
fof(f3187,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f3132,f1830]) ).
fof(f3259,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X3),X2)))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[],[f3187,f71]) ).
fof(f4223,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X2),X1)))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[],[f3259,f501]) ).
fof(f4421,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),not(X0)))),
inference(resolution,[],[f4223,f887]) ).
fof(f4510,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X1),not(implies(X0,X1))))),
inference(resolution,[],[f4421,f1147]) ).
fof(f4955,plain,
is_a_theorem(implies(x,implies(not(y),not(sF1)))),
inference(superposition,[],[f4510,f18]) ).
fof(f4957,plain,
is_a_theorem(implies(x,implies(not(y),sF2))),
inference(forward_demodulation,[],[f4955,f20]) ).
fof(f4958,plain,
is_a_theorem(implies(x,implies(sF0,sF2))),
inference(forward_demodulation,[],[f4957,f16]) ).
fof(f4959,plain,
is_a_theorem(implies(x,sF3)),
inference(forward_demodulation,[],[f4958,f22]) ).
fof(f4960,plain,
is_a_theorem(sF4),
inference(forward_demodulation,[],[f4959,f24]) ).
fof(f4961,plain,
$false,
inference(forward_subsumption_resolution,[],[f4960,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL403+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 15:38:10 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.47 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
% 19.43/3.90 % (1606841)Detected formulas, will run a generic FOF schedule.
% 19.43/3.90 % (1606850)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=504008952:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.43/3.90 % (1606847)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2796701415:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.43/3.90 % (1606848)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1078868694:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.43/3.90 % (1606846)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=1840859192:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.43/3.90 % (1606850)Instruction limit reached!
% 19.43/3.90 % (1606850)------------------------------
% 19.43/3.90 % (1606850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.90 % (1606850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.90 % (1606850)CaDiCaL version: 2.1.3
% 19.43/3.90 % (1606850)Termination reason: Instruction limit
% 19.43/3.90 % (1606850)Termination phase: Saturation
% 19.43/3.90 % (1606850)Time elapsed: 0.059 s
% 19.43/3.90 % (1606850)Peak memory usage: 87 MB
% 19.43/3.90 % (1606850)Instructions burned: 121 (million)
% 19.43/3.90 % (1606852)dis-21_1_sil=8000:lcm=predicate:random_seed=936817258:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 19.43/3.90 % (1606849)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1728144494:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.43/3.90 % (1606851)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1209656996:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.43/3.90 % (1606849)Refutation not found, incomplete strategy
% 19.43/3.90 % (1606849)------------------------------
% 19.43/3.90 % (1606849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.90 % (1606849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.90 % (1606849)CaDiCaL version: 2.1.3
% 19.43/3.90 % (1606849)Termination reason: Refutation not found, incomplete strategy
% 19.43/3.90 % (1606849)Time elapsed: 0.002 s
% 19.43/3.90 % (1606849)Peak memory usage: 87 MB
% 19.43/3.90 % (1606852)Instruction limit reached!
% 19.43/3.90 % (1606852)------------------------------
% 19.43/3.90 % (1606852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.90 % (1606852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.90 % (1606852)CaDiCaL version: 2.1.3
% 19.43/3.90 % (1606852)Termination reason: Instruction limit
% 19.43/3.90 % (1606852)Termination phase: Saturation
% 19.43/3.90 % (1606852)Time elapsed: 0.122 s
% 19.43/3.90 % (1606852)Peak memory usage: 88 MB
% 19.43/3.90 % (1606852)Instructions burned: 129 (million)
% 19.43/3.90 % (1606851)Instruction limit reached!
% 19.43/3.90 % (1606851)------------------------------
% 19.43/3.90 % (1606851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.90 % (1606851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.90 % (1606851)CaDiCaL version: 2.1.3
% 19.43/3.90 % (1606851)Termination reason: Instruction limit
% 19.43/3.90 % (1606851)Termination phase: Saturation
% 19.43/3.90 % (1606851)Time elapsed: 0.146 s
% 19.43/3.90 % (1606851)Peak memory usage: 89 MB
% 19.43/3.90 % (1606851)Instructions burned: 139 (million)
% 19.43/3.90 % (1606857)lrs+10_1_sil=8000:sp=occurrence:random_seed=4015929588:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 19.43/3.90 % (1606857)Instruction limit reached!
% 19.43/3.90 % (1606857)------------------------------
% 19.43/3.90 % (1606857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.90 % (1606857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.90 % (1606857)CaDiCaL version: 2.1.3
% 19.43/3.90 % (1606857)Termination reason: Instruction limit
% 19.43/3.90 % (1606857)Termination phase: Saturation
% 19.43/3.90 % (1606857)Time elapsed: 0.147 s
% 19.43/3.90 % (1606857)Peak memory usage: 91 MB
% 19.43/3.90 % (1606857)Instructions burned: 285 (million)
% 19.43/3.90 % (1606849)------------------------------
% 19.43/3.90 % (1606849)------------------------------
% 19.43/4.05 % (1606861)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2260313869:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 19.43/4.05 % (1606862)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3108351416:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 19.43/4.05 % (1606864)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=239486874:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 19.43/4.05 % (1606861)Instruction limit reached!
% 19.43/4.05 % (1606861)------------------------------
% 19.43/4.05 % (1606861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606861)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606861)Termination reason: Instruction limit
% 19.43/4.05 % (1606861)Termination phase: Saturation
% 19.43/4.05 % (1606861)Time elapsed: 0.153 s
% 19.43/4.05 % (1606861)Peak memory usage: 90 MB
% 19.43/4.05 % (1606861)Instructions burned: 157 (million)
% 19.43/4.05 % (1606865)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2359186088:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 19.43/4.05 % (1606865)Refutation not found, incomplete strategy
% 19.43/4.05 % (1606865)------------------------------
% 19.43/4.05 % (1606865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606865)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606865)Termination reason: Refutation not found, incomplete strategy
% 19.43/4.05 % (1606865)Time elapsed: 0.002 s
% 19.43/4.05 % (1606865)Peak memory usage: 87 MB
% 19.43/4.05 % (1606864)Instruction limit reached!
% 19.43/4.05 % (1606864)------------------------------
% 19.43/4.05 % (1606864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606864)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606864)Termination reason: Instruction limit
% 19.43/4.05 % (1606864)Termination phase: Saturation
% 19.43/4.05 % (1606864)Time elapsed: 0.117 s
% 19.43/4.05 % (1606864)Peak memory usage: 89 MB
% 19.43/4.05 % (1606864)Instructions burned: 250 (million)
% 19.43/4.05 % (1606862)Instruction limit reached!
% 19.43/4.05 % (1606862)------------------------------
% 19.43/4.05 % (1606862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606862)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606862)Termination reason: Instruction limit
% 19.43/4.05 % (1606862)Termination phase: Saturation
% 19.43/4.05 % (1606862)Time elapsed: 0.335 s
% 19.43/4.05 % (1606862)Peak memory usage: 92 MB
% 19.43/4.05 % (1606862)Instructions burned: 325 (million)
% 19.43/4.05 % (1606869)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2928048673:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 19.43/4.05 % (1606871)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=504183633:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 19.43/4.05 % (1606865)------------------------------
% 19.43/4.05 % (1606865)------------------------------
% 19.43/4.05 % (1606872)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2332161832:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 19.43/4.05 % (1606871)Instruction limit reached!
% 19.43/4.05 % (1606871)------------------------------
% 19.43/4.05 % (1606871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606871)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606871)Termination reason: Instruction limit
% 19.43/4.05 % (1606871)Termination phase: Saturation
% 19.43/4.05 % (1606871)Time elapsed: 0.118 s
% 19.43/4.05 % (1606871)Peak memory usage: 89 MB
% 19.43/4.05 % (1606871)Instructions burned: 113 (million)
% 19.43/4.05 % (1606872)Instruction limit reached!
% 19.43/4.05 % (1606872)------------------------------
% 19.43/4.05 % (1606872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606872)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606872)Termination reason: Instruction limit
% 19.43/4.05 % (1606872)Termination phase: Saturation
% 19.43/4.05 % (1606872)Time elapsed: 0.115 s
% 19.43/4.05 % (1606872)Peak memory usage: 88 MB
% 19.43/4.05 % (1606872)Instructions burned: 128 (million)
% 19.43/4.05 % (1606876)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2287091640:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 19.43/4.05 % (1606877)lrs+10_1_sil=8000:sp=occurrence:random_seed=1695824593:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 19.43/4.05 % (1606878)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3178732044:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 19.43/4.05 % (1606878)Refutation not found, incomplete strategy
% 19.43/4.05 % (1606878)------------------------------
% 19.43/4.05 % (1606878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606878)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606878)Termination reason: Refutation not found, incomplete strategy
% 19.43/4.05 % (1606878)Time elapsed: 0.002 s
% 19.43/4.05 % (1606878)Peak memory usage: 88 MB
% 19.43/4.05 % (1606876)Instruction limit reached!
% 19.43/4.05 % (1606876)------------------------------
% 19.43/4.05 % (1606876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606876)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606876)Termination reason: Instruction limit
% 19.43/4.05 % (1606876)Termination phase: Saturation
% 19.43/4.05 % (1606876)Time elapsed: 0.128 s
% 19.43/4.05 % (1606876)Peak memory usage: 89 MB
% 19.43/4.05 % (1606876)Instructions burned: 114 (million)
% 19.43/4.05 % (1606882)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1405385280:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 19.43/4.05 % (1606878)------------------------------
% 19.43/4.05 % (1606878)------------------------------
% 19.43/4.05 % (1606846)First to succeed.
% 19.43/4.05 % (1606846)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1606841"
% 19.43/4.05 % (1606884)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=13027222:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 19.43/4.05 % (1606847)Also succeeded, but the first one will report.
% 19.43/4.05 % (1606869)Instruction limit reached!
% 19.43/4.05 % (1606869)------------------------------
% 19.43/4.05 % (1606869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606869)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606869)Termination reason: Instruction limit
% 19.43/4.05 % (1606869)Termination phase: Saturation
% 19.43/4.05 % (1606869)Time elapsed: 1.329 s
% 19.43/4.05 % (1606869)Peak memory usage: 141 MB
% 19.43/4.05 % (1606869)Instructions burned: 2351 (million)
% 19.43/4.05 % (1606884)Instruction limit reached!
% 19.43/4.05 % (1606884)------------------------------
% 19.43/4.05 % (1606884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606884)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606884)Termination reason: Instruction limit
% 19.43/4.05 % (1606884)Termination phase: Saturation
% 19.43/4.05 % (1606884)Time elapsed: 0.121 s
% 19.43/4.05 % (1606884)Peak memory usage: 89 MB
% 19.43/4.05 % (1606884)Instructions burned: 134 (million)
% 19.43/4.05 % (1606877)Instruction limit reached!
% 19.43/4.05 % (1606877)------------------------------
% 19.43/4.05 % (1606877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606877)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606877)Termination reason: Instruction limit
% 19.43/4.05 % (1606877)Termination phase: Saturation
% 19.43/4.05 % (1606877)Time elapsed: 0.905 s
% 19.43/4.05 % (1606877)Peak memory usage: 95 MB
% 19.43/4.05 % (1606877)Instructions burned: 907 (million)
% 19.43/4.05 % (1606886)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1166778533:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 19.43/4.05 % (1606886)Refutation not found, incomplete strategy
% 19.43/4.05 % (1606886)------------------------------
% 19.43/4.05 % (1606886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/4.05 % (1606886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/4.05 % (1606886)CaDiCaL version: 2.1.3
% 19.43/4.05 % (1606886)Termination reason: Refutation not found, incomplete strategy
% 19.43/4.05 % (1606886)Time elapsed: 0.001 s
% 19.43/4.05 % (1606886)Peak memory usage: 88 MB
% 19.43/4.05 % (1606846)Refutation found. Thanks to Tanya!
% 19.43/4.05 % SZS status Theorem for theBenchmark
% 19.43/4.05 % SZS output start Proof for theBenchmark
% See solution above
% 21.07/4.42 % (1606846)------------------------------
% 21.07/4.42 % (1606846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.07/4.42 % (1606846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.07/4.42 % (1606846)CaDiCaL version: 2.1.3
% 21.07/4.42 % (1606846)Termination reason: Refutation
% 21.07/4.42 % (1606846)Time elapsed: 2.124 s
% 21.07/4.42 % (1606846)Peak memory usage: 138 MB
% 21.07/4.42 % (1606846)Instructions burned: 2037 (million)
% 21.07/4.42 % (1606846)------------------------------
% 21.07/4.42 % (1606846)------------------------------
% 21.07/4.42 % (1606841)Success in time 2.851 s
% 21.07/4.42 % Vampire exiting
%------------------------------------------------------------------------------