%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL376+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:10 AM UTC 2026
% Result : Theorem 14.02s 2.97s
% Output : Refutation 15.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 71 ( 37 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 88 ( 45 ~; 41 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 195 ( 195 !; 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(implies(x,y),implies(implies(y,implies(z,implies(x,u))),implies(z,implies(x,u))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_33) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,implies(z,implies(x,u))),implies(z,implies(x,u))))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,implies(z,implies(x,u))),implies(z,implies(x,u))))),
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,implies(z,implies(x,u))),implies(z,implies(x,u))))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f10,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f15,f11]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(X1,X4),implies(X0,X4)),X2),X3))),
inference(resolution,[],[f16,f15]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f16,f10]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[],[f18,f16]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[],[f18,f11]) ).
fof(f21,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f13,f15]) ).
fof(f22,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f10]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f21,f10]) ).
fof(f27,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f27,f15]) ).
fof(f34,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,[],[f19,f10]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f34,f10]) ).
fof(f44,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,[],[f37,f13]) ).
fof(f71,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f30,f18]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f71,f10]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f20,f10]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f86,f10]) ).
fof(f122,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f91,f12]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),X4))
| ~ is_a_theorem(implies(implies(implies(X2,X0),X3),X4)) ),
inference(resolution,[],[f17,f10]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X1,X4),implies(X0,X4)),X2))
| is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3)) ),
inference(resolution,[],[f223,f10]) ).
fof(f347,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f122,f22]) ).
fof(f355,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f347,f26]) ).
fof(f482,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(resolution,[],[f355,f44]) ).
fof(f496,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f355,f122]) ).
fof(f501,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f496,f18]) ).
fof(f518,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,[],[f501,f18]) ).
fof(f530,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f501,f10]) ).
fof(f565,plain,
~ is_a_theorem(implies(implies(x,implies(z,implies(x,u))),implies(z,implies(x,u)))),
inference(resolution,[],[f518,f14]) ).
fof(f604,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f482,f12]) ).
fof(f634,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f604,f37]) ).
fof(f647,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f604,f122]) ).
fof(f658,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f647,f10]) ).
fof(f738,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),X3)) ),
inference(resolution,[],[f634,f518]) ).
fof(f743,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f634,f71]) ).
fof(f984,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f738,f26]) ).
fof(f1033,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f984,f12]) ).
fof(f1072,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1033,f530]) ).
fof(f1206,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f1072,f11]) ).
fof(f1238,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1206,f530]) ).
fof(f1426,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f1238,f743]) ).
fof(f1469,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f1426,f81]) ).
fof(f1493,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f1469,f658]) ).
fof(f1499,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f1469,f1238]) ).
fof(f1504,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f1469,f18]) ).
fof(f1578,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1504,f10]) ).
fof(f1580,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f1493,f44]) ).
fof(f1608,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f1580,f122]) ).
fof(f1635,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[],[f1608,f15]) ).
fof(f1820,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f1578,f11]) ).
fof(f1874,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),implies(X2,X1))))
| ~ is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f1820,f91]) ).
fof(f3081,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),X2))),
inference(resolution,[],[f1635,f1578]) ).
fof(f3107,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f3081,f634]) ).
fof(f4520,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1874,f10]) ).
fof(f4821,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,[],[f4520,f12]) ).
fof(f4947,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
inference(resolution,[],[f4821,f3107]) ).
fof(f4971,plain,
$false,
inference(unit_resulting_resolution,[],[f230,f565,f1499,f4947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL376+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n003.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 15:39:26 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 10.45/2.39 % (723949)Detected formulas, will run a generic FOF schedule.
% 10.45/2.39 % (723958)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4073547307:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.45/2.39 % (723960)dis-21_1_sil=8000:lcm=predicate:random_seed=3298197170: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)
% 10.45/2.39 % (723959)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2224246826:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.45/2.39 % (723956)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=4019366686:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.45/2.39 % (723957)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=259723688:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.45/2.39 % (723954)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=232525262:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.45/2.39 % (723955)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=1059520356:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.45/2.39 % (723957)Refutation not found, incomplete strategy
% 10.45/2.39 % (723957)------------------------------
% 10.45/2.39 % (723957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (723957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (723957)CaDiCaL version: 2.1.3
% 10.45/2.39 % (723957)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.39 % (723957)Time elapsed: 0.001 s
% 10.45/2.39 % (723957)Peak memory usage: 87 MB
% 10.45/2.39 % (723958)Instruction limit reached!
% 10.45/2.39 % (723958)------------------------------
% 10.45/2.39 % (723958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (723958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (723958)CaDiCaL version: 2.1.3
% 10.45/2.39 % (723958)Termination reason: Instruction limit
% 10.45/2.39 % (723958)Termination phase: Saturation
% 10.45/2.39 % (723958)Time elapsed: 0.034 s
% 10.45/2.39 % (723958)Peak memory usage: 87 MB
% 10.45/2.39 % (723958)Instructions burned: 120 (million)
% 10.45/2.39 % (723960)Instruction limit reached!
% 10.45/2.39 % (723960)------------------------------
% 10.45/2.39 % (723960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (723960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (723960)CaDiCaL version: 2.1.3
% 10.45/2.39 % (723960)Termination reason: Instruction limit
% 10.45/2.39 % (723960)Termination phase: Saturation
% 10.45/2.39 % (723960)Time elapsed: 0.079 s
% 10.45/2.39 % (723960)Peak memory usage: 89 MB
% 10.45/2.39 % (723960)Instructions burned: 130 (million)
% 10.45/2.39 % (723959)Instruction limit reached!
% 10.45/2.39 % (723959)------------------------------
% 10.45/2.39 % (723959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (723959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (723959)CaDiCaL version: 2.1.3
% 10.45/2.39 % (723959)Termination reason: Instruction limit
% 10.45/2.39 % (723959)Termination phase: Saturation
% 10.45/2.39 % (723959)Time elapsed: 0.093 s
% 10.45/2.39 % (723959)Peak memory usage: 89 MB
% 10.45/2.39 % (723959)Instructions burned: 140 (million)
% 10.45/2.39 % (723968)lrs+10_1_sil=8000:sp=occurrence:random_seed=359997717:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.45/2.39 % (723968)Instruction limit reached!
% 10.45/2.39 % (723968)------------------------------
% 10.45/2.39 % (723968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (723968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (723968)CaDiCaL version: 2.1.3
% 10.45/2.39 % (723968)Termination reason: Instruction limit
% 10.45/2.39 % (723968)Termination phase: Saturation
% 10.45/2.39 % (723968)Time elapsed: 0.095 s
% 10.45/2.39 % (723968)Peak memory usage: 91 MB
% 10.45/2.39 % (723968)Instructions burned: 285 (million)
% 10.45/2.39 % (723970)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3325902828:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.02/2.97 % (723969)lrs+10_1_sil=32000:urr=on:br=off:random_seed=483423045:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.02/2.97 % (723957)------------------------------
% 14.02/2.97 % (723957)------------------------------
% 14.02/2.97 % (723972)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=2462455757:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.02/2.97 % (723969)Instruction limit reached!
% 14.02/2.97 % (723969)------------------------------
% 14.02/2.97 % (723969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723969)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723969)Termination reason: Instruction limit
% 14.02/2.97 % (723969)Termination phase: Saturation
% 14.02/2.97 % (723969)Time elapsed: 0.093 s
% 14.02/2.97 % (723969)Peak memory usage: 89 MB
% 14.02/2.97 % (723969)Instructions burned: 157 (million)
% 14.02/2.97 % (723972)Instruction limit reached!
% 14.02/2.97 % (723972)------------------------------
% 14.02/2.97 % (723972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723972)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723972)Termination reason: Instruction limit
% 14.02/2.97 % (723972)Termination phase: Saturation
% 14.02/2.97 % (723972)Time elapsed: 0.074 s
% 14.02/2.97 % (723972)Peak memory usage: 89 MB
% 14.02/2.97 % (723972)Instructions burned: 250 (million)
% 14.02/2.97 % (723975)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1522608604:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 14.02/2.97 % (723975)Refutation not found, incomplete strategy
% 14.02/2.97 % (723975)------------------------------
% 14.02/2.97 % (723975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723975)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723975)Termination reason: Refutation not found, incomplete strategy
% 14.02/2.97 % (723975)Time elapsed: 0.001 s
% 14.02/2.97 % (723975)Peak memory usage: 88 MB
% 14.02/2.97 % (723970)Instruction limit reached!
% 14.02/2.97 % (723970)------------------------------
% 14.02/2.97 % (723970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723970)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723970)Termination reason: Instruction limit
% 14.02/2.97 % (723970)Termination phase: Saturation
% 14.02/2.97 % (723970)Time elapsed: 0.211 s
% 14.02/2.97 % (723970)Peak memory usage: 92 MB
% 14.02/2.97 % (723970)Instructions burned: 326 (million)
% 14.02/2.97 % (723977)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3883733863:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.02/2.97 % (723978)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2546246524:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.02/2.97 % (723978)Instruction limit reached!
% 14.02/2.97 % (723978)------------------------------
% 14.02/2.97 % (723978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723978)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723978)Termination reason: Instruction limit
% 14.02/2.97 % (723978)Termination phase: Saturation
% 14.02/2.97 % (723978)Time elapsed: 0.036 s
% 14.02/2.97 % (723978)Peak memory usage: 89 MB
% 14.02/2.97 % (723978)Instructions burned: 115 (million)
% 14.02/2.97 % (723980)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1512765670:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 14.02/2.97 % (723983)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=652918861:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 14.02/2.97 % (723983)Instruction limit reached!
% 14.02/2.97 % (723983)------------------------------
% 14.02/2.97 % (723983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723983)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723983)Termination reason: Instruction limit
% 14.02/2.97 % (723983)Termination phase: Saturation
% 14.02/2.97 % (723983)Time elapsed: 0.042 s
% 14.02/2.97 % (723983)Peak memory usage: 89 MB
% 14.02/2.97 % (723983)Instructions burned: 117 (million)
% 14.02/2.97 % (723980)Instruction limit reached!
% 14.02/2.97 % (723980)------------------------------
% 14.02/2.97 % (723980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723980)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723980)Termination reason: Instruction limit
% 14.02/2.97 % (723980)Termination phase: Saturation
% 14.02/2.97 % (723980)Time elapsed: 0.072 s
% 14.02/2.97 % (723980)Peak memory usage: 88 MB
% 14.02/2.97 % (723980)Instructions burned: 128 (million)
% 14.02/2.97 % (723975)------------------------------
% 14.02/2.97 % (723975)------------------------------
% 14.02/2.97 % (723986)lrs+10_1_sil=8000:sp=occurrence:random_seed=232490379:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 14.02/2.97 % (723987)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1126119828:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 14.02/2.97 % (723987)Refutation not found, incomplete strategy
% 14.02/2.97 % (723987)------------------------------
% 14.02/2.97 % (723987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723987)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723987)Termination reason: Refutation not found, incomplete strategy
% 14.02/2.97 % (723987)Time elapsed: 0.001 s
% 14.02/2.97 % (723987)Peak memory usage: 88 MB
% 14.02/2.97 % (723988)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3479725153:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 14.02/2.97 % (723987)------------------------------
% 14.02/2.97 % (723987)------------------------------
% 14.02/2.97 % (723986)Instruction limit reached!
% 14.02/2.97 % (723986)------------------------------
% 14.02/2.97 % (723986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723986)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723986)Termination reason: Instruction limit
% 14.02/2.97 % (723986)Termination phase: Saturation
% 14.02/2.97 % (723986)Time elapsed: 0.305 s
% 14.02/2.97 % (723986)Peak memory usage: 95 MB
% 14.02/2.97 % (723986)Instructions burned: 910 (million)
% 14.02/2.97 % (723993)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=225868774:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 14.02/2.97 % (723993)Refutation not found, incomplete strategy
% 14.02/2.97 % (723993)------------------------------
% 14.02/2.97 % (723993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723993)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723993)Termination reason: Refutation not found, incomplete strategy
% 14.02/2.97 % (723993)Time elapsed: 0.0000 s
% 14.02/2.97 % (723993)Peak memory usage: 88 MB
% 14.02/2.97 % (723992)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=644371873:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 14.02/2.97 % (723992)Instruction limit reached!
% 14.02/2.97 % (723992)------------------------------
% 14.02/2.97 % (723992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723992)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723992)Termination reason: Instruction limit
% 14.02/2.97 % (723992)Termination phase: Saturation
% 14.02/2.97 % (723992)Time elapsed: 0.076 s
% 14.02/2.97 % (723992)Peak memory usage: 89 MB
% 14.02/2.97 % (723992)Instructions burned: 134 (million)
% 14.02/2.97 % (723993)------------------------------
% 14.02/2.97 % (723993)------------------------------
% 14.02/2.97 % (723996)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=780106876:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 14.02/2.97 % (723997)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1862131971:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 14.02/2.97 % (723997)Instruction limit reached!
% 14.02/2.97 % (723997)------------------------------
% 14.02/2.97 % (723997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723997)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723997)Termination reason: Instruction limit
% 14.02/2.97 % (723997)Termination phase: Saturation
% 14.02/2.97 % (723997)Time elapsed: 0.040 s
% 14.02/2.97 % (723997)Peak memory usage: 89 MB
% 14.02/2.97 % (723997)Instructions burned: 126 (million)
% 14.02/2.97 % (724000)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=891425983:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 14.02/2.97 % (724000)Instruction limit reached!
% 14.02/2.97 % (724000)------------------------------
% 14.02/2.97 % (724000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (724000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (724000)CaDiCaL version: 2.1.3
% 14.02/2.97 % (724000)Termination reason: Instruction limit
% 14.02/2.97 % (724000)Termination phase: Saturation
% 14.02/2.97 % (724000)Time elapsed: 0.045 s
% 14.02/2.97 % (724000)Peak memory usage: 90 MB
% 14.02/2.97 % (724000)Instructions burned: 135 (million)
% 14.02/2.97 % (724002)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2372746790:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 14.02/2.97 % (724002)Refutation not found, incomplete strategy
% 14.02/2.97 % (724002)------------------------------
% 14.02/2.97 % (724002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (724002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (724002)CaDiCaL version: 2.1.3
% 14.02/2.97 % (724002)Termination reason: Refutation not found, incomplete strategy
% 14.02/2.97 % (724002)Time elapsed: 0.0000 s
% 14.02/2.97 % (724002)Peak memory usage: 88 MB
% 14.02/2.97 % (723955)First to succeed.
% 14.02/2.97 % (723955)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-723949"
% 14.02/2.97 % (724002)------------------------------
% 14.02/2.97 % (724002)------------------------------
% 14.02/2.97 % (724004)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2584791017:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 14.02/2.97 % (723977)Instruction limit reached!
% 14.02/2.97 % (723977)------------------------------
% 14.02/2.97 % (723977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.97 % (723977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.97 % (723977)CaDiCaL version: 2.1.3
% 14.02/2.97 % (723977)Termination reason: Instruction limit
% 14.02/2.97 % (723977)Termination phase: Saturation
% 14.02/2.97 % (723977)Time elapsed: 1.480 s
% 14.02/2.97 % (723977)Peak memory usage: 142 MB
% 14.02/2.97 % (723977)Instructions burned: 2350 (million)
% 14.02/2.97 % (723955)Refutation found. Thanks to Tanya!
% 14.02/2.97 % SZS status Theorem for theBenchmark
% 14.02/2.97 % SZS output start Proof for theBenchmark
% See solution above
% 15.52/3.17 % (723955)------------------------------
% 15.52/3.17 % (723955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.17 % (723955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.17 % (723955)CaDiCaL version: 2.1.3
% 15.52/3.17 % (723955)Termination reason: Refutation
% 15.52/3.17 % (723955)Time elapsed: 1.678 s
% 15.52/3.17 % (723955)Peak memory usage: 140 MB
% 15.52/3.17 % (723955)Instructions burned: 2718 (million)
% 15.52/3.17 % (723955)------------------------------
% 15.52/3.17 % (723955)------------------------------
% 15.52/3.17 % (723949)Success in time 2.106 s
% 15.52/3.17 % Vampire exiting
%------------------------------------------------------------------------------