%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL392+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 : n004.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 11:52:15 AM UTC 2026
% Result : Theorem 11.22s 2.47s
% Output : Refutation 11.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 64 ( 36 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 38 ~; 35 |; 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 : 177 ( 177 !; 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(implies(implies(x,y),y),z),implies(implies(not(x),y),z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_56) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(not(x),y),z))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(not(x),y),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(implies(implies(x,y),y),z),implies(implies(not(x),y),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(f43,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(f52,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,[],[f43,f13]) ).
fof(f71,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,[],[f71,f10]) ).
fof(f111,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f25,f22]) ).
fof(f134,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(f145,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f110,f12]) ).
fof(f153,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,[],[f134,f10]) ).
fof(f172,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,[],[f153,f11]) ).
fof(f376,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,[],[f172,f10]) ).
fof(f386,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,[],[f376,f30]) ).
fof(f422,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f386,f111]) ).
fof(f439,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f422,f52]) ).
fof(f451,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f439,f386]) ).
fof(f459,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f451,f52]) ).
fof(f469,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f459,f37]) ).
fof(f477,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(resolution,[],[f469,f18]) ).
fof(f498,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f477,f10]) ).
fof(f500,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f498,f28]) ).
fof(f522,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f500,f459]) ).
fof(f527,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f522,f145]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f527,f376]) ).
fof(f616,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f537,f422]) ).
fof(f643,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f616,f15]) ).
fof(f648,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f643,f18]) ).
fof(f677,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f648,f10]) ).
fof(f703,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f677,f11]) ).
fof(f726,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f677,f422]) ).
fof(f755,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f703,f10]) ).
fof(f846,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f755,f10]) ).
fof(f1296,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f726,f846]) ).
fof(f1998,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1296,f527]) ).
fof(f2107,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1998,f110]) ).
fof(f2127,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f2107,f643]) ).
fof(f2209,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(resolution,[],[f2127,f677]) ).
fof(f2242,plain,
$false,
inference(unit_resulting_resolution,[],[f153,f30,f14,f2209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL392+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:39:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 11.22/2.47 % (3686644)Detected formulas, will run a generic FOF schedule.
% 11.22/2.47 % (3686649)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=3682350752:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.22/2.47 % (3686652)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3822493465:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.22/2.47 % (3686655)dis-21_1_sil=8000:lcm=predicate:random_seed=4130067330: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)
% 11.22/2.47 % (3686651)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=1485956416:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.22/2.47 % (3686653)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3811881708:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.22/2.47 % (3686650)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=1370511234:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.22/2.47 % (3686654)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3241842038:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.22/2.47 % (3686652)Refutation not found, incomplete strategy
% 11.22/2.47 % (3686652)------------------------------
% 11.22/2.47 % (3686652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686652)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686652)Termination reason: Refutation not found, incomplete strategy
% 11.22/2.47 % (3686652)Time elapsed: 0.001 s
% 11.22/2.47 % (3686652)Peak memory usage: 87 MB
% 11.22/2.47 % (3686653)Instruction limit reached!
% 11.22/2.47 % (3686653)------------------------------
% 11.22/2.47 % (3686653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686653)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686653)Termination reason: Instruction limit
% 11.22/2.47 % (3686653)Termination phase: Saturation
% 11.22/2.47 % (3686653)Time elapsed: 0.072 s
% 11.22/2.47 % (3686653)Peak memory usage: 87 MB
% 11.22/2.47 % (3686653)Instructions burned: 120 (million)
% 11.22/2.47 % (3686655)Instruction limit reached!
% 11.22/2.47 % (3686655)------------------------------
% 11.22/2.47 % (3686655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686655)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686655)Termination reason: Instruction limit
% 11.22/2.47 % (3686655)Termination phase: Saturation
% 11.22/2.47 % (3686655)Time elapsed: 0.082 s
% 11.22/2.47 % (3686655)Peak memory usage: 88 MB
% 11.22/2.47 % (3686655)Instructions burned: 130 (million)
% 11.22/2.47 % (3686654)Instruction limit reached!
% 11.22/2.47 % (3686654)------------------------------
% 11.22/2.47 % (3686654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686654)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686654)Termination reason: Instruction limit
% 11.22/2.47 % (3686654)Termination phase: Saturation
% 11.22/2.47 % (3686654)Time elapsed: 0.091 s
% 11.22/2.47 % (3686654)Peak memory usage: 89 MB
% 11.22/2.47 % (3686654)Instructions burned: 139 (million)
% 11.22/2.47 % (3686663)lrs+10_1_sil=8000:sp=occurrence:random_seed=1716487567:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.22/2.47 % (3686664)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4293143193:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.22/2.47 % (3686665)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3431832592:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.22/2.47 % (3686652)------------------------------
% 11.22/2.47 % (3686652)------------------------------
% 11.22/2.47 % (3686664)Instruction limit reached!
% 11.22/2.47 % (3686664)------------------------------
% 11.22/2.47 % (3686664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686664)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686664)Termination reason: Instruction limit
% 11.22/2.47 % (3686664)Termination phase: Saturation
% 11.22/2.47 % (3686664)Time elapsed: 0.092 s
% 11.22/2.47 % (3686664)Peak memory usage: 89 MB
% 11.22/2.47 % (3686664)Instructions burned: 158 (million)
% 11.22/2.47 % (3686663)Instruction limit reached!
% 11.22/2.47 % (3686663)------------------------------
% 11.22/2.47 % (3686663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686663)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686663)Termination reason: Instruction limit
% 11.22/2.47 % (3686663)Termination phase: Saturation
% 11.22/2.47 % (3686663)Time elapsed: 0.177 s
% 11.22/2.47 % (3686663)Peak memory usage: 91 MB
% 11.22/2.47 % (3686663)Instructions burned: 286 (million)
% 11.22/2.47 % (3686669)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=1797149792:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.22/2.47 % (3686670)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=507196667:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.22/2.47 % (3686670)Refutation not found, incomplete strategy
% 11.22/2.47 % (3686670)------------------------------
% 11.22/2.47 % (3686670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686670)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686670)Termination reason: Refutation not found, incomplete strategy
% 11.22/2.47 % (3686670)Time elapsed: 0.001 s
% 11.22/2.47 % (3686670)Peak memory usage: 87 MB
% 11.22/2.47 % (3686665)Instruction limit reached!
% 11.22/2.47 % (3686665)------------------------------
% 11.22/2.47 % (3686665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686665)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686665)Termination reason: Instruction limit
% 11.22/2.47 % (3686665)Termination phase: Saturation
% 11.22/2.47 % (3686665)Time elapsed: 0.212 s
% 11.22/2.47 % (3686665)Peak memory usage: 93 MB
% 11.22/2.47 % (3686665)Instructions burned: 325 (million)
% 11.22/2.47 % (3686672)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2592218520:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.22/2.47 % (3686669)Instruction limit reached!
% 11.22/2.47 % (3686669)------------------------------
% 11.22/2.47 % (3686669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686669)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686669)Termination reason: Instruction limit
% 11.22/2.47 % (3686669)Termination phase: Saturation
% 11.22/2.47 % (3686669)Time elapsed: 0.143 s
% 11.22/2.47 % (3686669)Peak memory usage: 89 MB
% 11.22/2.47 % (3686669)Instructions burned: 248 (million)
% 11.22/2.47 % (3686674)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1856406310:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.22/2.47 % (3686674)Instruction limit reached!
% 11.22/2.47 % (3686674)------------------------------
% 11.22/2.47 % (3686674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686674)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686674)Termination reason: Instruction limit
% 11.22/2.47 % (3686674)Termination phase: Saturation
% 11.22/2.47 % (3686674)Time elapsed: 0.069 s
% 11.22/2.47 % (3686674)Peak memory usage: 89 MB
% 11.22/2.47 % (3686674)Instructions burned: 114 (million)
% 11.22/2.47 % (3686676)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2301701997:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.22/2.47 % (3686670)------------------------------
% 11.22/2.47 % (3686670)------------------------------
% 11.22/2.47 % (3686676)Instruction limit reached!
% 11.22/2.47 % (3686676)------------------------------
% 11.22/2.47 % (3686676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686676)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686676)Termination reason: Instruction limit
% 11.22/2.47 % (3686676)Termination phase: Saturation
% 11.22/2.47 % (3686676)Time elapsed: 0.072 s
% 11.22/2.47 % (3686676)Peak memory usage: 88 MB
% 11.22/2.47 % (3686676)Instructions burned: 127 (million)
% 11.22/2.47 % (3686678)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3922800466:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.22/2.47 % (3686680)lrs+10_1_sil=8000:sp=occurrence:random_seed=71971060:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.22/2.47 % (3686678)Instruction limit reached!
% 11.22/2.47 % (3686678)------------------------------
% 11.22/2.47 % (3686678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686678)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686678)Termination reason: Instruction limit
% 11.22/2.47 % (3686678)Termination phase: Saturation
% 11.22/2.47 % (3686678)Time elapsed: 0.079 s
% 11.22/2.47 % (3686678)Peak memory usage: 89 MB
% 11.22/2.47 % (3686678)Instructions burned: 115 (million)
% 11.22/2.47 % (3686681)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=303769857:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.22/2.47 % (3686681)Refutation not found, incomplete strategy
% 11.22/2.47 % (3686681)------------------------------
% 11.22/2.47 % (3686681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686681)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686681)Termination reason: Refutation not found, incomplete strategy
% 11.22/2.47 % (3686681)Time elapsed: 0.001 s
% 11.22/2.47 % (3686681)Peak memory usage: 88 MB
% 11.22/2.47 % (3686684)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=728945998:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.22/2.47 % (3686681)------------------------------
% 11.22/2.47 % (3686681)------------------------------
% 11.22/2.47 % (3686650)First to succeed.
% 11.22/2.47 % (3686650)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3686644"
% 11.22/2.47 % (3686687)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2971399782:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.22/2.47 % (3686649)Also succeeded, but the first one will report.
% 11.22/2.47 % (3686687)Instruction limit reached!
% 11.22/2.47 % (3686687)------------------------------
% 11.22/2.47 % (3686687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686687)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686687)Termination reason: Instruction limit
% 11.22/2.47 % (3686687)Termination phase: Saturation
% 11.22/2.47 % (3686687)Time elapsed: 0.078 s
% 11.22/2.47 % (3686687)Peak memory usage: 89 MB
% 11.22/2.47 % (3686687)Instructions burned: 135 (million)
% 11.22/2.47 % (3686680)Instruction limit reached!
% 11.22/2.47 % (3686680)------------------------------
% 11.22/2.47 % (3686680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686680)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686680)Termination reason: Instruction limit
% 11.22/2.47 % (3686680)Termination phase: Saturation
% 11.22/2.47 % (3686680)Time elapsed: 0.579 s
% 11.22/2.47 % (3686680)Peak memory usage: 95 MB
% 11.22/2.47 % (3686680)Instructions burned: 908 (million)
% 11.22/2.47 % (3686689)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2807590980:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 11.22/2.47 % (3686689)Refutation not found, incomplete strategy
% 11.22/2.47 % (3686689)------------------------------
% 11.22/2.47 % (3686689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.47 % (3686689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.47 % (3686689)CaDiCaL version: 2.1.3
% 11.22/2.47 % (3686689)Termination reason: Refutation not found, incomplete strategy
% 11.22/2.47 % (3686689)Time elapsed: 0.001 s
% 11.22/2.47 % (3686689)Peak memory usage: 88 MB
% 11.22/2.47 % (3686650)Refutation found. Thanks to Tanya!
% 11.22/2.47 % SZS status Theorem for theBenchmark
% 11.22/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 11.93/2.66 % (3686650)------------------------------
% 11.93/2.66 % (3686650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.66 % (3686650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.66 % (3686650)CaDiCaL version: 2.1.3
% 11.93/2.66 % (3686650)Termination reason: Refutation
% 11.93/2.66 % (3686650)Time elapsed: 1.204 s
% 11.93/2.66 % (3686650)Peak memory usage: 136 MB
% 11.93/2.66 % (3686650)Instructions burned: 1922 (million)
% 11.93/2.66 % (3686650)------------------------------
% 11.93/2.66 % (3686650)------------------------------
% 11.93/2.66 % (3686644)Success in time 1.605 s
% 11.93/2.66 % Vampire exiting
%------------------------------------------------------------------------------