%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL384+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 : 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 11:52:12 AM UTC 2026
% Result : Theorem 0.11s 2.03s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 33 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 32 |; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 158 ( 158 !; 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,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_45) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
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,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
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(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,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f13,f15]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f10]) ).
fof(f23,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(f24,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(f25,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f18,f19]) ).
fof(f27,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
fof(f28,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f12,f10]) ).
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(f32,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(f37,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,[],[f32,f10]) ).
fof(f40,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,[],[f23,f10]) ).
fof(f41,plain,
~ is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z))),
inference(resolution,[],[f40,f14]) ).
fof(f44,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,[],[f40,f10]) ).
fof(f53,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,[],[f44,f13]) ).
fof(f72,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,[],[f24,f10]) ).
fof(f110,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,[],[f72,f10]) ).
fof(f111,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f25,f22]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f110,f11]) ).
fof(f148,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f110,f12]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f137,f10]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(X4,implies(X2,X0))) ),
inference(resolution,[],[f156,f11]) ).
fof(f417,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f175,f10]) ).
fof(f428,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,implies(not(X1),X1))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f417,f30]) ).
fof(f464,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f428,f111]) ).
fof(f483,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f464,f53]) ).
fof(f495,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f483,f428]) ).
fof(f503,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f495,f53]) ).
fof(f513,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f503,f37]) ).
fof(f524,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(resolution,[],[f513,f18]) ).
fof(f544,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f524,f10]) ).
fof(f546,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f544,f28]) ).
fof(f568,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f546,f503]) ).
fof(f573,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f568,f148]) ).
fof(f585,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f573,f417]) ).
fof(f712,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f585,f464]) ).
fof(f742,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f712,f15]) ).
fof(f751,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f742,f18]) ).
fof(f780,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f751,f10]) ).
fof(f808,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f780,f11]) ).
fof(f863,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f808,f10]) ).
fof(f951,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,[],[f863,f18]) ).
fof(f1422,plain,
$false,
inference(unit_resulting_resolution,[],[f951,f12,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL384+1 : 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 15:38:05 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
% 7.20/1.84 % (2530830)Detected formulas, will run a generic FOF schedule.
% 7.20/1.84 % (2530840)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1349149524:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 7.20/1.84 % (2530841)dis-21_1_sil=8000:lcm=predicate:random_seed=1979118813: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)
% 7.20/1.84 % (2530839)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1046551599:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 7.20/1.84 % (2530836)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=1104403035:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 7.20/1.84 % (2530837)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=3035655485:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 7.20/1.84 % (2530838)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1558158735:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 7.20/1.84 % (2530835)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=1318192257:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 7.20/1.84 % (2530838)Refutation not found, incomplete strategy
% 7.20/1.84 % (2530838)------------------------------
% 7.20/1.84 % (2530838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530838)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530838)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.84 % (2530838)Time elapsed: 0.001 s
% 7.20/1.84 % (2530838)Peak memory usage: 87 MB
% 7.20/1.84 % (2530840)Instruction limit reached!
% 7.20/1.84 % (2530840)------------------------------
% 7.20/1.84 % (2530840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530840)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530840)Termination reason: Instruction limit
% 7.20/1.84 % (2530840)Termination phase: Saturation
% 7.20/1.84 % (2530840)Time elapsed: 0.079 s
% 7.20/1.84 % (2530840)Peak memory usage: 89 MB
% 7.20/1.84 % (2530840)Instructions burned: 139 (million)
% 7.20/1.84 % (2530841)Instruction limit reached!
% 7.20/1.84 % (2530841)------------------------------
% 7.20/1.84 % (2530841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530841)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530841)Termination reason: Instruction limit
% 7.20/1.84 % (2530841)Termination phase: Saturation
% 7.20/1.84 % (2530841)Time elapsed: 0.044 s
% 7.20/1.84 % (2530841)Peak memory usage: 89 MB
% 7.20/1.84 % (2530841)Instructions burned: 130 (million)
% 7.20/1.84 % (2530839)Instruction limit reached!
% 7.20/1.84 % (2530839)------------------------------
% 7.20/1.84 % (2530839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530839)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530839)Termination reason: Instruction limit
% 7.20/1.84 % (2530839)Termination phase: Saturation
% 7.20/1.84 % (2530839)Time elapsed: 0.051 s
% 7.20/1.84 % (2530839)Peak memory usage: 87 MB
% 7.20/1.84 % (2530839)Instructions burned: 120 (million)
% 7.20/1.84 % (2530838)------------------------------
% 7.20/1.84 % (2530838)------------------------------
% 7.20/1.84 % (2530849)lrs+10_1_sil=8000:sp=occurrence:random_seed=4087354360:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.20/1.84 % (2530851)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3548539021:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.20/1.84 % (2530850)lrs+10_1_sil=32000:urr=on:br=off:random_seed=66560906:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.20/1.84 % (2530850)Instruction limit reached!
% 7.20/1.84 % (2530850)------------------------------
% 7.20/1.84 % (2530850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530850)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530850)Termination reason: Instruction limit
% 7.20/1.84 % (2530850)Termination phase: Saturation
% 7.20/1.84 % (2530850)Time elapsed: 0.075 s
% 7.20/1.84 % (2530850)Peak memory usage: 89 MB
% 7.20/1.84 % (2530850)Instructions burned: 159 (million)
% 7.20/1.84 % (2530849)Instruction limit reached!
% 7.20/1.84 % (2530849)------------------------------
% 7.20/1.84 % (2530849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530849)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530849)Termination reason: Instruction limit
% 7.20/1.84 % (2530849)Termination phase: Saturation
% 7.20/1.84 % (2530849)Time elapsed: 0.139 s
% 7.20/1.84 % (2530849)Peak memory usage: 90 MB
% 7.20/1.84 % (2530849)Instructions burned: 286 (million)
% 7.20/1.84 % (2530852)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=1152473459:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.20/1.84 % (2530851)Instruction limit reached!
% 7.20/1.84 % (2530851)------------------------------
% 7.20/1.84 % (2530851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530851)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530851)Termination reason: Instruction limit
% 7.20/1.84 % (2530851)Termination phase: Saturation
% 7.20/1.84 % (2530851)Time elapsed: 0.188 s
% 7.20/1.84 % (2530851)Peak memory usage: 92 MB
% 7.20/1.84 % (2530851)Instructions burned: 327 (million)
% 7.20/1.84 % (2530852)Instruction limit reached!
% 7.20/1.84 % (2530852)------------------------------
% 7.20/1.84 % (2530852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530852)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530852)Termination reason: Instruction limit
% 7.20/1.84 % (2530852)Termination phase: Saturation
% 7.20/1.84 % (2530852)Time elapsed: 0.120 s
% 7.20/1.84 % (2530852)Peak memory usage: 89 MB
% 7.20/1.84 % (2530852)Instructions burned: 249 (million)
% 7.20/1.84 % (2530856)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1125622839:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.20/1.84 % (2530856)Refutation not found, incomplete strategy
% 7.20/1.84 % (2530856)------------------------------
% 7.20/1.84 % (2530856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530856)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530856)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.84 % (2530856)Time elapsed: 0.001 s
% 7.20/1.84 % (2530856)Peak memory usage: 87 MB
% 7.20/1.84 % (2530857)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1463149838:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.20/1.84 % (2530859)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=93510480:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.20/1.84 % (2530859)Instruction limit reached!
% 7.20/1.84 % (2530859)------------------------------
% 7.20/1.84 % (2530859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (2530859)CaDiCaL version: 2.1.3
% 7.20/1.84 % (2530859)Termination reason: Instruction limit
% 7.20/1.84 % (2530859)Termination phase: Saturation
% 7.20/1.84 % (2530859)Time elapsed: 0.058 s
% 7.20/1.84 % (2530859)Peak memory usage: 89 MB
% 7.20/1.84 % (2530859)Instructions burned: 114 (million)
% 7.20/1.84 % (2530836)First to succeed.
% 7.20/1.84 % (2530836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2530830"
% 7.20/1.84 % (2530860)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2969226275:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.20/1.84 % (2530856)------------------------------
% 7.20/1.84 % (2530856)------------------------------
% 7.20/1.84 % (2530860)Instruction limit reached!
% 7.20/1.84 % (2530860)------------------------------
% 7.20/1.84 % (2530860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (2530860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/2.03 % (2530860)CaDiCaL version: 2.1.3
% 0.11/2.03 % (2530860)Termination reason: Instruction limit
% 0.11/2.03 % (2530860)Termination phase: Saturation
% 0.11/2.03 % (2530860)Time elapsed: 0.064 s
% 0.11/2.03 % (2530860)Peak memory usage: 88 MB
% 0.11/2.03 % (2530860)Instructions burned: 127 (million)
% 0.11/2.03 % (2530836)Refutation found. Thanks to Tanya!
% 0.11/2.03 % SZS status Theorem for theBenchmark
% 0.11/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/2.03 % (2530836)------------------------------
% 0.11/2.03 % (2530836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.11/2.03 % (2530836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/2.03 % (2530836)CaDiCaL version: 2.1.3
% 0.11/2.03 % (2530836)Termination reason: Refutation
% 0.11/2.03 % (2530836)Time elapsed: 0.765 s
% 0.11/2.03 % (2530836)Peak memory usage: 133 MB
% 0.11/2.03 % (2530836)Instructions burned: 1604 (million)
% 0.11/2.03 % (2530836)------------------------------
% 0.11/2.03 % (2530836)------------------------------
% 0.11/2.03 % (2530830)Success in time 1.129 s
% 0.11/2.03 % Vampire exiting
%------------------------------------------------------------------------------