%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL370+2 : 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 : n008.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 11:52:07 AM UTC 2026
% Result : Theorem 9.98s 2.64s
% Output : Refutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 69 ( 17 unt; 2 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 155 ( 79 ~; 72 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 235 ( 0 sgn 235 !; 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,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
inference(resolution,[],[f12,f11]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f13,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f13,f8]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))),
inference(resolution,[],[f15,f11]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ is_a_theorem(X8) ),
inference(resolution,[],[f17,f8]) ).
fof(f21,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl0_2
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f28,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X0)))
| is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f8]) ).
fof(f31,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))
| ~ spl0_2 ),
inference(resolution,[],[f28,f12]) ).
fof(f35,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f31]) ).
fof(f39,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(n(X1),X2)))),
inference(resolution,[],[f16,f17]) ).
fof(f43,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f35,f28]) ).
fof(f49,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f43,f8]) ).
fof(f53,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f49,f8]) ).
fof(f59,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f53,f43]) ).
fof(f61,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f53,f12]) ).
fof(f72,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f61,f16]) ).
fof(f80,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f72,f43]) ).
fof(f86,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f72,f59]) ).
fof(f91,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f80,f53]) ).
fof(f92,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f80,f8]) ).
fof(f106,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f86,f31]) ).
fof(f126,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)) )
| ~ spl0_2 ),
inference(resolution,[],[f106,f8]) ).
fof(f135,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f126,f49]) ).
fof(f146,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f135,f126]) ).
fof(f185,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f92,f31]) ).
fof(f218,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f185,f126]) ).
fof(f238,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f218,f126]) ).
fof(f245,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f238,f92]) ).
fof(f248,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f238,f8]) ).
fof(f257,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f245,f91]) ).
fof(f261,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(n(X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f257,f28]) ).
fof(f272,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f248,f257]) ).
fof(f289,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f272,f53]) ).
fof(f304,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X4,X4),implies(implies(X0,X2),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f289,f146]) ).
fof(f436,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(implies(X0,X2),X3)) )
| ~ spl0_2 ),
inference(resolution,[],[f304,f49]) ).
fof(f442,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f304,f245]) ).
fof(f661,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X4,X0),implies(implies(implies(X4,X1),X2),X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3)) )
| ~ spl0_2 ),
inference(resolution,[],[f436,f126]) ).
fof(f739,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(implies(X4,X0),implies(X2,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f661,f91]) ).
fof(f784,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X2,X3),X3))))
| ~ spl0_2 ),
inference(resolution,[],[f739,f442]) ).
fof(f822,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f784,f86]) ).
fof(f848,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f822,f126]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f848,f8]) ).
fof(f922,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f882,f261]) ).
fof(f963,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl0_2 ),
inference(resolution,[],[f922,f248]) ).
fof(f998,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f436,f10,f963]) ).
fof(f1017,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1018,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f39,f22]) ).
fof(f1019,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1018]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f1017]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f1019]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f1020,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL370+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n008.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 15:37:54 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 9.98/2.63 % (1397624)Detected formulas, will run a generic FOF schedule.
% 9.98/2.63 % (1397632)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=1746882007:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.98/2.63 % (1397637)dis-21_1_sil=8000:lcm=predicate:random_seed=3252275923: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)
% 9.98/2.63 % (1397636)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1158877407:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.98/2.63 % (1397635)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1837078025:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.98/2.63 % (1397633)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=77134191:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.98/2.63 % (1397634)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=58171296:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.98/2.63 % (1397631)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=2109579682:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.98/2.63 % (1397635)Refutation not found, incomplete strategy
% 9.98/2.63 % (1397635)------------------------------
% 9.98/2.63 % (1397635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.63 % (1397635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.63 % (1397635)CaDiCaL version: 2.1.3
% 9.98/2.63 % (1397635)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.63 % (1397635)Time elapsed: 0.001 s
% 9.98/2.63 % (1397635)Peak memory usage: 87 MB
% 9.98/2.63 % (1397634)Refutation not found, incomplete strategy
% 9.98/2.63 % (1397634)------------------------------
% 9.98/2.63 % (1397634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.63 % (1397634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.63 % (1397634)CaDiCaL version: 2.1.3
% 9.98/2.63 % (1397634)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.63 % (1397634)Time elapsed: 0.001 s
% 9.98/2.63 % (1397634)Peak memory usage: 87 MB
% 9.98/2.63 % (1397637)Instruction limit reached!
% 9.98/2.63 % (1397637)------------------------------
% 9.98/2.63 % (1397637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.63 % (1397637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.63 % (1397637)CaDiCaL version: 2.1.3
% 9.98/2.63 % (1397637)Termination reason: Instruction limit
% 9.98/2.63 % (1397637)Termination phase: Saturation
% 9.98/2.63 % (1397637)Time elapsed: 0.139 s
% 9.98/2.63 % (1397637)Peak memory usage: 89 MB
% 9.98/2.63 % (1397637)Instructions burned: 129 (million)
% 9.98/2.63 % (1397636)Instruction limit reached!
% 9.98/2.63 % (1397636)------------------------------
% 9.98/2.63 % (1397636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.63 % (1397636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397636)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397636)Termination reason: Instruction limit
% 9.98/2.64 % (1397636)Termination phase: Saturation
% 9.98/2.64 % (1397636)Time elapsed: 0.130 s
% 9.98/2.64 % (1397636)Peak memory usage: 89 MB
% 9.98/2.64 % (1397636)Instructions burned: 139 (million)
% 9.98/2.64 % (1397645)lrs+10_1_sil=8000:sp=occurrence:random_seed=676577870:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.98/2.64 % (1397635)------------------------------
% 9.98/2.64 % (1397635)------------------------------
% 9.98/2.64 % (1397634)------------------------------
% 9.98/2.64 % (1397634)------------------------------
% 9.98/2.64 % (1397646)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2383602090:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.98/2.64 % (1397645)Instruction limit reached!
% 9.98/2.64 % (1397645)------------------------------
% 9.98/2.64 % (1397645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397645)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397645)Termination reason: Instruction limit
% 9.98/2.64 % (1397645)Termination phase: Saturation
% 9.98/2.64 % (1397645)Time elapsed: 0.296 s
% 9.98/2.64 % (1397645)Peak memory usage: 91 MB
% 9.98/2.64 % (1397645)Instructions burned: 285 (million)
% 9.98/2.64 % (1397646)Instruction limit reached!
% 9.98/2.64 % (1397646)------------------------------
% 9.98/2.64 % (1397646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397646)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397646)Termination reason: Instruction limit
% 9.98/2.64 % (1397646)Termination phase: Saturation
% 9.98/2.64 % (1397646)Time elapsed: 0.139 s
% 9.98/2.64 % (1397646)Peak memory usage: 88 MB
% 9.98/2.64 % (1397646)Instructions burned: 158 (million)
% 9.98/2.64 % (1397648)lrs+1011_1_sil=32000:sp=occurrence:random_seed=12662748:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 9.98/2.64 % (1397649)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=3513535891:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.98/2.64 % (1397651)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3156893427:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 9.98/2.64 % (1397651)Refutation not found, incomplete strategy
% 9.98/2.64 % (1397651)------------------------------
% 9.98/2.64 % (1397651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397651)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397651)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.64 % (1397651)Time elapsed: 0.002 s
% 9.98/2.64 % (1397651)Peak memory usage: 87 MB
% 9.98/2.64 % (1397648)Instruction limit reached!
% 9.98/2.64 % (1397648)------------------------------
% 9.98/2.64 % (1397648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397648)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397648)Termination reason: Instruction limit
% 9.98/2.64 % (1397648)Termination phase: Saturation
% 9.98/2.64 % (1397648)Time elapsed: 0.165 s
% 9.98/2.64 % (1397648)Peak memory usage: 90 MB
% 9.98/2.64 % (1397648)Instructions burned: 327 (million)
% 9.98/2.64 % (1397652)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2301670647:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.98/2.64 % (1397632)First to succeed.
% 9.98/2.64 % (1397632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1397624"
% 9.98/2.64 % (1397649)Instruction limit reached!
% 9.98/2.64 % (1397649)------------------------------
% 9.98/2.64 % (1397649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397649)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397649)Termination reason: Instruction limit
% 9.98/2.64 % (1397649)Termination phase: Saturation
% 9.98/2.64 % (1397649)Time elapsed: 0.218 s
% 9.98/2.64 % (1397649)Peak memory usage: 88 MB
% 9.98/2.64 % (1397649)Instructions burned: 249 (million)
% 9.98/2.64 % (1397656)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2080240712:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 9.98/2.64 % (1397656)Instruction limit reached!
% 9.98/2.64 % (1397656)------------------------------
% 9.98/2.64 % (1397656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397656)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397656)Termination reason: Instruction limit
% 9.98/2.64 % (1397656)Termination phase: Saturation
% 9.98/2.64 % (1397656)Time elapsed: 0.100 s
% 9.98/2.64 % (1397656)Peak memory usage: 88 MB
% 9.98/2.64 % (1397656)Instructions burned: 113 (million)
% 9.98/2.64 % (1397651)------------------------------
% 9.98/2.64 % (1397651)------------------------------
% 9.98/2.64 % (1397658)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1074636243:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 9.98/2.64 % (1397658)Instruction limit reached!
% 9.98/2.64 % (1397658)------------------------------
% 9.98/2.64 % (1397658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.64 % (1397658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.64 % (1397658)CaDiCaL version: 2.1.3
% 9.98/2.64 % (1397658)Termination reason: Instruction limit
% 9.98/2.64 % (1397658)Termination phase: Saturation
% 9.98/2.64 % (1397658)Time elapsed: 0.115 s
% 9.98/2.64 % (1397658)Peak memory usage: 87 MB
% 9.98/2.64 % (1397658)Instructions burned: 127 (million)
% 9.98/2.64 % (1397632)Refutation found. Thanks to Tanya!
% 9.98/2.64 % SZS status Theorem for theBenchmark
% 9.98/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 12.37/2.95 % (1397632)------------------------------
% 12.37/2.95 % (1397632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.95 % (1397632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.95 % (1397632)CaDiCaL version: 2.1.3
% 12.37/2.95 % (1397632)Termination reason: Refutation
% 12.37/2.95 % (1397632)Time elapsed: 0.988 s
% 12.37/2.95 % (1397632)Peak memory usage: 131 MB
% 12.37/2.95 % (1397632)Instructions burned: 1281 (million)
% 12.37/2.95 % (1397632)------------------------------
% 12.37/2.95 % (1397632)------------------------------
% 12.37/2.95 % (1397624)Success in time 1.637 s
% 12.37/2.95 % Vampire exiting
%------------------------------------------------------------------------------