%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL382+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:52:11 AM UTC 2026
% Result : Theorem 12.23s 2.78s
% Output : Refutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 10
% Syntax : Number of formulae : 95 ( 53 unt; 5 def)
% Number of atoms : 150 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 113 ( 58 ~; 53 |; 1 &)
% ( 0 <=>; 1 =>; 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 : 197 ( 197 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(x,y),implies(implies(y,not(x)),not(x)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_43) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,not(x)),not(x)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,not(x)),not(x)))),
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(implies(x,y),implies(implies(y,not(x)),not(x)))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,definition,
sF0 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
implies(x,y) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = not(x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
not(x) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = implies(y,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
implies(y,sF1) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF3 = implies(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
implies(sF2,sF1) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF4 = implies(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f24,plain,
implies(sF0,sF3) = sF4,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f14,f24,f22,f18,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(f74,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(f83,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,[],[f74,f11]) ).
fof(f84,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,[],[f74,f26]) ).
fof(f86,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f74,f12]) ).
fof(f100,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f86,f13]) ).
fof(f106,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,[],[f84,f11]) ).
fof(f107,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,[],[f84,f26]) ).
fof(f108,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f84,f13]) ).
fof(f115,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f108,f86]) ).
fof(f123,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,[],[f106,f86]) ).
fof(f125,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,[],[f106,f74]) ).
fof(f143,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,[],[f107,f12]) ).
fof(f155,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f27,f115]) ).
fof(f184,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f143,f100]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f83,f10]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),X4))))
| ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X4))) ),
inference(resolution,[],[f125,f11]) ).
fof(f240,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,[],[f125,f13]) ).
fof(f330,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f240,f13]) ).
fof(f344,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f330,f143]) ).
fof(f359,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f344,f74]) ).
fof(f395,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X0,implies(implies(X4,X2),X3)))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(resolution,[],[f235,f10]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),implies(X0,X3))))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f395,f11]) ).
fof(f444,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f359,f11]) ).
fof(f447,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,[],[f359,f26]) ).
fof(f484,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f447,f444]) ).
fof(f493,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f447,f155]) ).
fof(f504,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(not(X0),X3)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f484,f10]) ).
fof(f511,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))),
inference(resolution,[],[f504,f11]) ).
fof(f684,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f493,f86]) ).
fof(f709,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f684,f74]) ).
fof(f724,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f709,f404]) ).
fof(f741,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,[],[f709,f83]) ).
fof(f742,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f709,f511]) ).
fof(f828,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X3),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f741,f11]) ).
fof(f1035,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f724,f12]) ).
fof(f1060,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[],[f1035,f100]) ).
fof(f1087,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,[],[f1060,f74]) ).
fof(f1149,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f1087,f11]) ).
fof(f1159,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(resolution,[],[f1087,f444]) ).
fof(f1181,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X0)))),
inference(resolution,[],[f1149,f742]) ).
fof(f1233,plain,
! [X0] : is_a_theorem(implies(sF1,implies(X0,implies(sF2,sF1)))),
inference(superposition,[],[f1181,f20]) ).
fof(f1236,plain,
! [X0] : is_a_theorem(implies(sF1,implies(X0,sF3))),
inference(forward_demodulation,[],[f1233,f22]) ).
fof(f1240,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f1159,f447]) ).
fof(f1275,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1240,f191]) ).
fof(f1287,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1240,f10]) ).
fof(f1372,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f1287,f1149]) ).
fof(f1428,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1372,f84]) ).
fof(f1515,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f1428,f184]) ).
fof(f1693,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f1515,f742]) ).
fof(f2085,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f1693,f1428]) ).
fof(f3025,plain,
! [X0] : is_a_theorem(implies(X0,implies(y,implies(sF2,sF1)))),
inference(superposition,[],[f2085,f20]) ).
fof(f3028,plain,
! [X0] : is_a_theorem(implies(X0,implies(y,sF3))),
inference(forward_demodulation,[],[f3025,f22]) ).
fof(f3051,plain,
! [X0] : is_a_theorem(implies(implies(X0,y),implies(X0,sF3))),
inference(resolution,[],[f3028,f123]) ).
fof(f3106,plain,
is_a_theorem(implies(sF0,implies(x,sF3))),
inference(superposition,[],[f3051,f16]) ).
fof(f3571,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f1275,f1159]) ).
fof(f3613,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f3571,f86]) ).
fof(f3645,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3613,f74]) ).
fof(f3685,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f3645,f828]) ).
fof(f5436,plain,
is_a_theorem(implies(sF1,sF4)),
inference(superposition,[],[f1236,f24]) ).
fof(f5898,plain,
is_a_theorem(implies(x,implies(sF0,sF3))),
inference(resolution,[],[f3106,f1428]) ).
fof(f5907,plain,
is_a_theorem(implies(x,sF4)),
inference(forward_demodulation,[],[f5898,f24]) ).
fof(f5912,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,x))
| is_a_theorem(implies(X0,sF4)) ),
inference(resolution,[],[f5907,f74]) ).
fof(f5915,plain,
is_a_theorem(implies(implies(not(x),x),sF4)),
inference(resolution,[],[f5912,f12]) ).
fof(f5931,plain,
is_a_theorem(implies(implies(sF1,x),sF4)),
inference(forward_demodulation,[],[f5915,f18]) ).
fof(f5937,plain,
is_a_theorem(implies(implies(sF1,sF4),sF4)),
inference(resolution,[],[f5931,f3685]) ).
fof(f5957,plain,
( is_a_theorem(sF4)
| ~ is_a_theorem(implies(sF1,sF4)) ),
inference(resolution,[],[f5937,f10]) ).
fof(f5958,plain,
~ is_a_theorem(implies(sF1,sF4)),
inference(forward_subsumption_resolution,[],[f5957,f25]) ).
fof(f5959,plain,
$false,
inference(forward_subsumption_resolution,[],[f5958,f5436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL382+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 15:38:15 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.23/2.78 % (2190273)Detected formulas, will run a generic FOF schedule.
% 12.23/2.78 % (2190286)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=3392673630:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.23/2.78 % (2190287)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=3989195440:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.23/2.78 % (2190289)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1835373484:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.23/2.78 % (2190288)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=2112778421:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.23/2.78 % (2190291)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3673246344:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.23/2.78 % (2190289)Refutation not found, incomplete strategy
% 12.23/2.78 % (2190289)------------------------------
% 12.23/2.78 % (2190289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190289)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190289)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.78 % (2190289)Time elapsed: 0.001 s
% 12.23/2.78 % (2190289)Peak memory usage: 87 MB
% 12.23/2.78 % (2190290)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1259526600:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.23/2.78 % (2190292)dis-21_1_sil=8000:lcm=predicate:random_seed=3809061967: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)
% 12.23/2.78 % (2190290)Instruction limit reached!
% 12.23/2.78 % (2190290)------------------------------
% 12.23/2.78 % (2190290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190290)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190290)Termination reason: Instruction limit
% 12.23/2.78 % (2190290)Termination phase: Saturation
% 12.23/2.78 % (2190290)Time elapsed: 0.105 s
% 12.23/2.78 % (2190290)Peak memory usage: 87 MB
% 12.23/2.78 % (2190290)Instructions burned: 119 (million)
% 12.23/2.78 % (2190291)Instruction limit reached!
% 12.23/2.78 % (2190291)------------------------------
% 12.23/2.78 % (2190291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190291)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190291)Termination reason: Instruction limit
% 12.23/2.78 % (2190291)Termination phase: Saturation
% 12.23/2.78 % (2190291)Time elapsed: 0.150 s
% 12.23/2.78 % (2190291)Peak memory usage: 89 MB
% 12.23/2.78 % (2190291)Instructions burned: 139 (million)
% 12.23/2.78 % (2190292)Instruction limit reached!
% 12.23/2.78 % (2190292)------------------------------
% 12.23/2.78 % (2190292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190292)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190292)Termination reason: Instruction limit
% 12.23/2.78 % (2190292)Termination phase: Saturation
% 12.23/2.78 % (2190292)Time elapsed: 0.124 s
% 12.23/2.78 % (2190292)Peak memory usage: 89 MB
% 12.23/2.78 % (2190292)Instructions burned: 129 (million)
% 12.23/2.78 % (2190289)------------------------------
% 12.23/2.78 % (2190289)------------------------------
% 12.23/2.78 % (2190301)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3205355634:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.23/2.78 % (2190300)lrs+10_1_sil=8000:sp=occurrence:random_seed=1510143377:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.23/2.78 % (2190302)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2318639922:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.23/2.78 % (2190301)Instruction limit reached!
% 12.23/2.78 % (2190301)------------------------------
% 12.23/2.78 % (2190301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190301)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190301)Termination reason: Instruction limit
% 12.23/2.78 % (2190301)Termination phase: Saturation
% 12.23/2.78 % (2190301)Time elapsed: 0.149 s
% 12.23/2.78 % (2190301)Peak memory usage: 89 MB
% 12.23/2.78 % (2190301)Instructions burned: 157 (million)
% 12.23/2.78 % (2190303)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=797867564:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.23/2.78 % (2190300)Instruction limit reached!
% 12.23/2.78 % (2190300)------------------------------
% 12.23/2.78 % (2190300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190300)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190300)Termination reason: Instruction limit
% 12.23/2.78 % (2190300)Termination phase: Saturation
% 12.23/2.78 % (2190300)Time elapsed: 0.290 s
% 12.23/2.78 % (2190300)Peak memory usage: 91 MB
% 12.23/2.78 % (2190300)Instructions burned: 286 (million)
% 12.23/2.78 % (2190302)Instruction limit reached!
% 12.23/2.78 % (2190302)------------------------------
% 12.23/2.78 % (2190302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190302)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190302)Termination reason: Instruction limit
% 12.23/2.78 % (2190302)Termination phase: Saturation
% 12.23/2.78 % (2190302)Time elapsed: 0.324 s
% 12.23/2.78 % (2190302)Peak memory usage: 93 MB
% 12.23/2.78 % (2190302)Instructions burned: 325 (million)
% 12.23/2.78 % (2190307)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2545431004:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 12.23/2.78 % (2190307)Refutation not found, incomplete strategy
% 12.23/2.78 % (2190307)------------------------------
% 12.23/2.78 % (2190307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190307)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190307)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.78 % (2190307)Time elapsed: 0.002 s
% 12.23/2.78 % (2190307)Peak memory usage: 87 MB
% 12.23/2.78 % (2190303)Instruction limit reached!
% 12.23/2.78 % (2190303)------------------------------
% 12.23/2.78 % (2190303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190303)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190303)Termination reason: Instruction limit
% 12.23/2.78 % (2190303)Termination phase: Saturation
% 12.23/2.78 % (2190303)Time elapsed: 0.225 s
% 12.23/2.78 % (2190303)Peak memory usage: 89 MB
% 12.23/2.78 % (2190303)Instructions burned: 248 (million)
% 12.23/2.78 % (2190309)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2698152545:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 12.23/2.78 % (2190310)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3514500275:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 12.23/2.78 % (2190310)Instruction limit reached!
% 12.23/2.78 % (2190310)------------------------------
% 12.23/2.78 % (2190310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190310)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190310)Termination reason: Instruction limit
% 12.23/2.78 % (2190310)Termination phase: Saturation
% 12.23/2.78 % (2190310)Time elapsed: 0.105 s
% 12.23/2.78 % (2190310)Peak memory usage: 89 MB
% 12.23/2.78 % (2190310)Instructions burned: 114 (million)
% 12.23/2.78 % (2190312)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3420782568:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 12.23/2.78 % (2190307)------------------------------
% 12.23/2.78 % (2190307)------------------------------
% 12.23/2.78 % (2190312)Instruction limit reached!
% 12.23/2.78 % (2190312)------------------------------
% 12.23/2.78 % (2190312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190312)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190312)Termination reason: Instruction limit
% 12.23/2.78 % (2190312)Termination phase: Saturation
% 12.23/2.78 % (2190312)Time elapsed: 0.117 s
% 12.23/2.78 % (2190312)Peak memory usage: 88 MB
% 12.23/2.78 % (2190312)Instructions burned: 128 (million)
% 12.23/2.78 % (2190286)First to succeed.
% 12.23/2.78 % (2190286)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2190273"
% 12.23/2.78 % (2190315)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=434437302:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 12.23/2.78 % (2190315)Instruction limit reached!
% 12.23/2.78 % (2190315)------------------------------
% 12.23/2.78 % (2190315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190315)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190315)Termination reason: Instruction limit
% 12.23/2.78 % (2190315)Termination phase: Saturation
% 12.23/2.78 % (2190315)Time elapsed: 0.121 s
% 12.23/2.78 % (2190315)Peak memory usage: 89 MB
% 12.23/2.78 % (2190315)Instructions burned: 115 (million)
% 12.23/2.78 % (2190317)lrs+10_1_sil=8000:sp=occurrence:random_seed=3729865638:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 12.23/2.78 % (2190318)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2923022217:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 12.23/2.78 % (2190318)Refutation not found, incomplete strategy
% 12.23/2.78 % (2190318)------------------------------
% 12.23/2.78 % (2190318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.78 % (2190318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.78 % (2190318)CaDiCaL version: 2.1.3
% 12.23/2.78 % (2190318)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.78 % (2190318)Time elapsed: 0.002 s
% 12.23/2.78 % (2190318)Peak memory usage: 88 MB
% 12.23/2.78 % (2190286)Refutation found. Thanks to Tanya!
% 12.23/2.78 % SZS status Theorem for theBenchmark
% 12.23/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 13.78/3.11 % (2190286)------------------------------
% 13.78/3.11 % (2190286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.11 % (2190286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.11 % (2190286)CaDiCaL version: 2.1.3
% 13.78/3.11 % (2190286)Termination reason: Refutation
% 13.78/3.11 % (2190286)Time elapsed: 1.358 s
% 13.78/3.11 % (2190286)Peak memory usage: 140 MB
% 13.78/3.11 % (2190286)Instructions burned: 2183 (million)
% 13.78/3.11 % (2190286)------------------------------
% 13.78/3.11 % (2190286)------------------------------
% 13.78/3.11 % (2190273)Success in time 1.87 s
% 13.78/3.11 % Vampire exiting
%------------------------------------------------------------------------------