%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL390+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 : n012.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 11:52:14 AM UTC 2026
% Result : Theorem 7.75s 2.01s
% Output : Refutation 9.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 16 unt; 2 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 169 ( 86 ~; 79 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 238 ( 0 sgn 238 !; 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(n(x),y),implies(implies(x,y),y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y))),
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(n(x),y),implies(implies(x,y),y))),
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(f32,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(n(X1),X2))))
| ~ spl0_2 ),
inference(resolution,[],[f28,f15]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f22,f13]) ).
fof(f67,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f81,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(f83,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(n(X1),X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f25]) ).
fof(f96,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f81,f28]) ).
fof(f102,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f96,f8]) ).
fof(f107,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,[],[f102,f8]) ).
fof(f113,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,[],[f107,f96]) ).
fof(f115,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f107,f12]) ).
fof(f129,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f115,f16]) ).
fof(f137,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f129,f96]) ).
fof(f145,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,[],[f129,f113]) ).
fof(f152,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f137,f8]) ).
fof(f186,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,[],[f145,f31]) ).
fof(f198,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f145,f32]) ).
fof(f200,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f145,f83]) ).
fof(f217,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,[],[f186,f8]) ).
fof(f222,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(n(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f198,f107]) ).
fof(f253,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,[],[f217,f102]) ).
fof(f318,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f152,f31]) ).
fof(f359,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f318,f217]) ).
fof(f370,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f359,f217]) ).
fof(f378,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f370,f152]) ).
fof(f382,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f370,f8]) ).
fof(f418,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f378,f222]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f382,f217]) ).
fof(f554,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f434,f418]) ).
fof(f594,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f554,f107]) ).
fof(f615,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f594,f253]) ).
fof(f637,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f615,f152]) ).
fof(f676,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f637,f96]) ).
fof(f677,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f637,f200]) ).
fof(f729,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f676,f8]) ).
fof(f746,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f677,f107]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f729,f594]) ).
fof(f772,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f756,f217]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f746,f102]) ).
fof(f906,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f826,f418]) ).
fof(f929,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f906,f637]) ).
fof(f936,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f929,f129]) ).
fof(f988,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f936,f772]) ).
fof(f1181,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f107,f370,f10,f988]) ).
fof(f1198,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1181]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f67]) ).
cnf(s28,plain,
~ spl0_2,
inference(sat_conversion,[],[f1198]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s28,s9]) ).
fof(f1199,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL390+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 27 15:38:34 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 Running first-order theorem proving
% 0.08/0.37 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
% 7.75/2.01 % (2531746)Detected formulas, will run a generic FOF schedule.
% 7.75/2.01 % (2531756)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2401663432:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 7.75/2.01 % (2531757)dis-21_1_sil=8000:lcm=predicate:random_seed=3036025506:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 7.75/2.01 % (2531751)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=1922750995:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 7.75/2.01 % (2531755)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1740901750:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 7.75/2.01 % (2531753)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=2248955917:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 7.75/2.01 % (2531752)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=3503729769:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 7.75/2.01 % (2531754)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3916448300:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 7.75/2.01 % (2531754)Refutation not found, incomplete strategy
% 7.75/2.01 % (2531754)------------------------------
% 7.75/2.01 % (2531754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531754)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531754)Termination reason: Refutation not found, incomplete strategy
% 7.75/2.01 % (2531754)Time elapsed: 0.001 s
% 7.75/2.01 % (2531754)Peak memory usage: 87 MB
% 7.75/2.01 % (2531756)Instruction limit reached!
% 7.75/2.01 % (2531756)------------------------------
% 7.75/2.01 % (2531756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531756)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531756)Termination reason: Instruction limit
% 7.75/2.01 % (2531756)Termination phase: Saturation
% 7.75/2.01 % (2531756)Time elapsed: 0.072 s
% 7.75/2.01 % (2531756)Peak memory usage: 89 MB
% 7.75/2.01 % (2531756)Instructions burned: 139 (million)
% 7.75/2.01 % (2531755)Instruction limit reached!
% 7.75/2.01 % (2531755)------------------------------
% 7.75/2.01 % (2531755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531755)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531755)Termination reason: Instruction limit
% 7.75/2.01 % (2531755)Termination phase: Saturation
% 7.75/2.01 % (2531755)Time elapsed: 0.065 s
% 7.75/2.01 % (2531755)Peak memory usage: 87 MB
% 7.75/2.01 % (2531755)Instructions burned: 119 (million)
% 7.75/2.01 % (2531757)Instruction limit reached!
% 7.75/2.01 % (2531757)------------------------------
% 7.75/2.01 % (2531757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531757)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531757)Termination reason: Instruction limit
% 7.75/2.01 % (2531757)Termination phase: Saturation
% 7.75/2.01 % (2531757)Time elapsed: 0.069 s
% 7.75/2.01 % (2531757)Peak memory usage: 89 MB
% 7.75/2.01 % (2531757)Instructions burned: 130 (million)
% 7.75/2.01 % (2531754)------------------------------
% 7.75/2.01 % (2531754)------------------------------
% 7.75/2.01 % (2531765)lrs+10_1_sil=8000:sp=occurrence:random_seed=4169262663:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.75/2.01 % (2531767)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2957178010:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.75/2.01 % (2531766)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1778095902:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.75/2.01 % (2531766)Instruction limit reached!
% 7.75/2.01 % (2531766)------------------------------
% 7.75/2.01 % (2531766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531766)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531766)Termination reason: Instruction limit
% 7.75/2.01 % (2531766)Termination phase: Saturation
% 7.75/2.01 % (2531766)Time elapsed: 0.068 s
% 7.75/2.01 % (2531766)Peak memory usage: 88 MB
% 7.75/2.01 % (2531766)Instructions burned: 158 (million)
% 7.75/2.01 % (2531765)Instruction limit reached!
% 7.75/2.01 % (2531765)------------------------------
% 7.75/2.01 % (2531765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531765)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531765)Termination reason: Instruction limit
% 7.75/2.01 % (2531765)Termination phase: Saturation
% 7.75/2.01 % (2531765)Time elapsed: 0.157 s
% 7.75/2.01 % (2531765)Peak memory usage: 91 MB
% 7.75/2.01 % (2531765)Instructions burned: 286 (million)
% 7.75/2.01 % (2531767)Instruction limit reached!
% 7.75/2.01 % (2531767)------------------------------
% 7.75/2.01 % (2531767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531767)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531767)Termination reason: Instruction limit
% 7.75/2.01 % (2531767)Termination phase: Saturation
% 7.75/2.01 % (2531767)Time elapsed: 0.160 s
% 7.75/2.01 % (2531767)Peak memory usage: 89 MB
% 7.75/2.01 % (2531767)Instructions burned: 326 (million)
% 7.75/2.01 % (2531768)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=4112100539:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.75/2.01 % (2531773)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=313765169:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.75/2.01 % (2531772)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=61818415:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.75/2.01 % (2531772)Refutation not found, incomplete strategy
% 7.75/2.01 % (2531772)------------------------------
% 7.75/2.01 % (2531772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531772)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531772)Termination reason: Refutation not found, incomplete strategy
% 7.75/2.01 % (2531772)Time elapsed: 0.001 s
% 7.75/2.01 % (2531772)Peak memory usage: 87 MB
% 7.75/2.01 % (2531768)Instruction limit reached!
% 7.75/2.01 % (2531768)------------------------------
% 7.75/2.01 % (2531768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531768)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531768)Termination reason: Instruction limit
% 7.75/2.01 % (2531768)Termination phase: Saturation
% 7.75/2.01 % (2531768)Time elapsed: 0.117 s
% 7.75/2.01 % (2531768)Peak memory usage: 88 MB
% 7.75/2.01 % (2531768)Instructions burned: 249 (million)
% 7.75/2.01 % (2531774)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2042803023:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.75/2.01 % (2531774)Instruction limit reached!
% 7.75/2.01 % (2531774)------------------------------
% 7.75/2.01 % (2531774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531774)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531774)Termination reason: Instruction limit
% 7.75/2.01 % (2531774)Termination phase: Saturation
% 7.75/2.01 % (2531774)Time elapsed: 0.053 s
% 7.75/2.01 % (2531774)Peak memory usage: 88 MB
% 7.75/2.01 % (2531774)Instructions burned: 113 (million)
% 7.75/2.01 % (2531772)------------------------------
% 7.75/2.01 % (2531772)------------------------------
% 7.75/2.01 % (2531752)First to succeed.
% 7.75/2.01 % (2531752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2531746"
% 7.75/2.01 % (2531778)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1765216190:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.75/2.01 % (2531778)Instruction limit reached!
% 7.75/2.01 % (2531778)------------------------------
% 7.75/2.01 % (2531778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531778)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531778)Termination reason: Instruction limit
% 7.75/2.01 % (2531778)Termination phase: Saturation
% 7.75/2.01 % (2531778)Time elapsed: 0.063 s
% 7.75/2.01 % (2531778)Peak memory usage: 87 MB
% 7.75/2.01 % (2531778)Instructions burned: 129 (million)
% 7.75/2.01 % (2531780)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3985049002:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 7.75/2.01 % (2531780)Instruction limit reached!
% 7.75/2.01 % (2531780)------------------------------
% 7.75/2.01 % (2531780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531780)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531780)Termination reason: Instruction limit
% 7.75/2.01 % (2531780)Termination phase: Saturation
% 7.75/2.01 % (2531780)Time elapsed: 0.051 s
% 7.75/2.01 % (2531780)Peak memory usage: 89 MB
% 7.75/2.01 % (2531780)Instructions burned: 114 (million)
% 7.75/2.01 % (2531781)lrs+10_1_sil=8000:sp=occurrence:random_seed=427660376:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 7.75/2.01 % (2531783)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3907597848:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 7.75/2.01 % (2531783)Refutation not found, incomplete strategy
% 7.75/2.01 % (2531783)------------------------------
% 7.75/2.01 % (2531783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.01 % (2531783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.01 % (2531783)CaDiCaL version: 2.1.3
% 7.75/2.01 % (2531783)Termination reason: Refutation not found, incomplete strategy
% 7.75/2.01 % (2531783)Time elapsed: 0.001 s
% 7.75/2.01 % (2531783)Peak memory usage: 87 MB
% 7.75/2.01 % (2531752)Refutation found. Thanks to Tanya!
% 7.75/2.01 % SZS status Theorem for theBenchmark
% 7.75/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 9.67/2.22 % (2531752)------------------------------
% 9.67/2.22 % (2531752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.22 % (2531752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.22 % (2531752)CaDiCaL version: 2.1.3
% 9.67/2.22 % (2531752)Termination reason: Refutation
% 9.67/2.22 % (2531752)Time elapsed: 0.817 s
% 9.67/2.22 % (2531752)Peak memory usage: 130 MB
% 9.67/2.22 % (2531752)Instructions burned: 1346 (million)
% 9.67/2.22 % (2531752)------------------------------
% 9.67/2.22 % (2531752)------------------------------
% 9.67/2.22 % (2531746)Success in time 1.3 s
% 9.67/2.22 % Vampire exiting
%------------------------------------------------------------------------------