%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL374+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:09 AM UTC 2026
% Result : Theorem 32.93s 5.86s
% Output : Refutation 34.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 36 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 46 ~; 42 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 200 ( 200 !; 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,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_31) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f13,f14]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f15,f14]) ).
fof(f17,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))) ),
inference(resolution,[],[f16,f13]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f16,f15]) ).
fof(f19,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,[],[f18,f13]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f18,f15]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f19,f16]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),X4))))
| ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X4))) ),
inference(resolution,[],[f22,f13]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f17,f14]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))) ),
inference(resolution,[],[f11,f22]) ).
fof(f37,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12,f16]) ).
fof(f41,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,[],[f30,f13]) ).
fof(f51,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,[],[f41,f14]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f20,f12]) ).
fof(f73,plain,
~ is_a_theorem(implies(implies(implies(x,z),u),implies(implies(x,u),u))),
inference(resolution,[],[f24,f10]) ).
fof(f85,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
inference(resolution,[],[f71,f11]) ).
fof(f92,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f85,f71]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f37,f19]) ).
fof(f127,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f37,f11]) ).
fof(f151,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f33,f11]) ).
fof(f161,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f151,f71]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f161,f30]) ).
fof(f174,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,[],[f161,f16]) ).
fof(f188,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f174,f13]) ).
fof(f203,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f188,f168]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(not(X2),X4)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f203,f30]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X4),X5),X2)))
| is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,X3))) ),
inference(resolution,[],[f216,f19]) ).
fof(f282,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(resolution,[],[f268,f92]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X3)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f282,f30]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f282,f14]) ).
fof(f313,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f311,f161]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f311,f15]) ).
fof(f366,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f313,f124]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f366,f14]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f427,f319]) ).
fof(f438,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X0),implies(X1,implies(X0,X0)))),
inference(resolution,[],[f436,f13]) ).
fof(f467,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X1)))
| ~ is_a_theorem(implies(X1,X1)) ),
inference(resolution,[],[f438,f14]) ).
fof(f468,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(forward_subsumption_resolution,[],[f467,f127]) ).
fof(f485,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f468,f302]) ).
fof(f522,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f485,f37]) ).
fof(f523,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))),
inference(resolution,[],[f485,f71]) ).
fof(f528,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f522,f302]) ).
fof(f533,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f522,f16]) ).
fof(f545,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f528,f311]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f533,f19]) ).
fof(f793,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f545,f124]) ).
fof(f903,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))),
inference(resolution,[],[f618,f523]) ).
fof(f942,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f903,f302]) ).
fof(f968,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f942,f30]) ).
fof(f1031,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f968,f161]) ).
fof(f1174,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f1031,f37]) ).
fof(f1193,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1174,f16]) ).
fof(f1212,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1193,f793]) ).
fof(f1247,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,[],[f1212,f51]) ).
fof(f1456,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f1247,f942]) ).
fof(f1491,plain,
$false,
inference(resolution,[],[f1456,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL374+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n003.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 15:39:11 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.50 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
% 24.01/4.57 % (723349)Detected formulas, will run a generic FOF schedule.
% 24.01/4.57 % (723354)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=2815796168:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.01/4.57 % (723360)dis-21_1_sil=8000:lcm=predicate:random_seed=2297496710: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)
% 24.01/4.57 % (723355)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=1430800684:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.01/4.57 % (723356)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=558743631:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.01/4.57 % (723358)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3034670923:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.01/4.57 % (723357)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=113136395:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.01/4.57 % (723357)Refutation not found, incomplete strategy
% 24.01/4.57 % (723357)------------------------------
% 24.01/4.57 % (723357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.01/4.57 % (723357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.01/4.57 % (723357)CaDiCaL version: 2.1.3
% 24.01/4.57 % (723357)Termination reason: Refutation not found, incomplete strategy
% 24.01/4.57 % (723357)Time elapsed: 0.001 s
% 24.01/4.57 % (723357)Peak memory usage: 87 MB
% 24.01/4.57 % (723360)Instruction limit reached!
% 24.01/4.57 % (723360)------------------------------
% 24.01/4.57 % (723360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.01/4.57 % (723360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.01/4.57 % (723360)CaDiCaL version: 2.1.3
% 24.01/4.57 % (723360)Termination reason: Instruction limit
% 24.01/4.57 % (723360)Termination phase: Saturation
% 24.01/4.57 % (723360)Time elapsed: 0.105 s
% 24.01/4.57 % (723360)Peak memory usage: 88 MB
% 24.01/4.57 % (723360)Instructions burned: 129 (million)
% 24.01/4.57 % (723359)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1336358452:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.01/4.57 % (723358)Instruction limit reached!
% 24.01/4.57 % (723358)------------------------------
% 24.01/4.57 % (723358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.01/4.57 % (723358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.01/4.57 % (723358)CaDiCaL version: 2.1.3
% 24.01/4.57 % (723358)Termination reason: Instruction limit
% 24.01/4.57 % (723358)Termination phase: Saturation
% 24.01/4.57 % (723358)Time elapsed: 0.103 s
% 24.01/4.57 % (723358)Peak memory usage: 87 MB
% 24.01/4.57 % (723358)Instructions burned: 119 (million)
% 24.01/4.57 % (723359)Instruction limit reached!
% 24.01/4.57 % (723359)------------------------------
% 24.01/4.57 % (723359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.01/4.57 % (723359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.01/4.57 % (723359)CaDiCaL version: 2.1.3
% 24.01/4.57 % (723359)Termination reason: Instruction limit
% 24.01/4.57 % (723359)Termination phase: Saturation
% 24.01/4.57 % (723359)Time elapsed: 0.150 s
% 24.01/4.57 % (723359)Peak memory usage: 89 MB
% 24.01/4.57 % (723359)Instructions burned: 139 (million)
% 24.01/4.57 % (723368)lrs+10_1_sil=8000:sp=occurrence:random_seed=24164692:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 24.01/4.57 % (723357)------------------------------
% 24.01/4.57 % (723357)------------------------------
% 24.01/4.57 % (723369)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4128002429:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 24.01/4.57 % (723368)Instruction limit reached!
% 24.01/4.57 % (723368)------------------------------
% 24.01/4.57 % (723368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.01/4.57 % (723368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.01/4.57 % (723368)CaDiCaL version: 2.1.3
% 24.01/4.57 % (723368)Termination reason: Instruction limit
% 24.01/4.57 % (723368)Termination phase: Saturation
% 32.93/5.86 % (723368)Time elapsed: 0.217 s
% 32.93/5.86 % (723368)Peak memory usage: 90 MB
% 32.93/5.86 % (723368)Instructions burned: 285 (million)
% 32.93/5.86 % (723370)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2543109731:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 32.93/5.86 % (723369)Instruction limit reached!
% 32.93/5.86 % (723369)------------------------------
% 32.93/5.86 % (723369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723369)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723369)Termination reason: Instruction limit
% 32.93/5.86 % (723369)Termination phase: Saturation
% 32.93/5.86 % (723369)Time elapsed: 0.147 s
% 32.93/5.86 % (723369)Peak memory usage: 89 MB
% 32.93/5.86 % (723369)Instructions burned: 157 (million)
% 32.93/5.86 % (723373)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=2012512296:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 32.93/5.86 % (723374)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3141878551:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 32.93/5.86 % (723374)Refutation not found, incomplete strategy
% 32.93/5.86 % (723374)------------------------------
% 32.93/5.86 % (723374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723374)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723374)Termination reason: Refutation not found, incomplete strategy
% 32.93/5.86 % (723374)Time elapsed: 0.001 s
% 32.93/5.86 % (723374)Peak memory usage: 87 MB
% 32.93/5.86 % (723373)Instruction limit reached!
% 32.93/5.86 % (723373)------------------------------
% 32.93/5.86 % (723373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723373)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723373)Termination reason: Instruction limit
% 32.93/5.86 % (723373)Termination phase: Saturation
% 32.93/5.86 % (723373)Time elapsed: 0.112 s
% 32.93/5.86 % (723373)Peak memory usage: 89 MB
% 32.93/5.86 % (723373)Instructions burned: 248 (million)
% 32.93/5.86 % (723370)Instruction limit reached!
% 32.93/5.86 % (723370)------------------------------
% 32.93/5.86 % (723370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723370)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723370)Termination reason: Instruction limit
% 32.93/5.86 % (723370)Termination phase: Saturation
% 32.93/5.86 % (723370)Time elapsed: 0.353 s
% 32.93/5.86 % (723370)Peak memory usage: 93 MB
% 32.93/5.86 % (723370)Instructions burned: 325 (million)
% 32.93/5.86 % (723376)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=585422553:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 32.93/5.86 % (723379)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3534226620:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 32.93/5.86 % (723374)------------------------------
% 32.93/5.86 % (723374)------------------------------
% 32.93/5.86 % (723379)Instruction limit reached!
% 32.93/5.86 % (723379)------------------------------
% 32.93/5.86 % (723379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723379)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723379)Termination reason: Instruction limit
% 32.93/5.86 % (723379)Termination phase: Saturation
% 32.93/5.86 % (723379)Time elapsed: 0.114 s
% 32.93/5.86 % (723379)Peak memory usage: 89 MB
% 32.93/5.86 % (723379)Instructions burned: 113 (million)
% 32.93/5.86 % (723380)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1582033107:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 32.93/5.86 % (723380)Instruction limit reached!
% 32.93/5.86 % (723380)------------------------------
% 32.93/5.86 % (723380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723380)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723380)Termination reason: Instruction limit
% 32.93/5.86 % (723380)Termination phase: Saturation
% 32.93/5.86 % (723380)Time elapsed: 0.111 s
% 32.93/5.86 % (723380)Peak memory usage: 88 MB
% 32.93/5.86 % (723380)Instructions burned: 127 (million)
% 32.93/5.86 % (723384)lrs+10_1_sil=8000:sp=occurrence:random_seed=663506621:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 32.93/5.86 % (723383)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=657431602:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 32.93/5.86 % (723383)Instruction limit reached!
% 32.93/5.86 % (723383)------------------------------
% 32.93/5.86 % (723383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723383)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723383)Termination reason: Instruction limit
% 32.93/5.86 % (723383)Termination phase: Saturation
% 32.93/5.86 % (723383)Time elapsed: 0.124 s
% 32.93/5.86 % (723383)Peak memory usage: 90 MB
% 32.93/5.86 % (723383)Instructions burned: 114 (million)
% 32.93/5.86 % (723386)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1655567985:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 32.93/5.86 % (723386)Refutation not found, incomplete strategy
% 32.93/5.86 % (723386)------------------------------
% 32.93/5.86 % (723386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723386)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723386)Termination reason: Refutation not found, incomplete strategy
% 32.93/5.86 % (723386)Time elapsed: 0.001 s
% 32.93/5.86 % (723386)Peak memory usage: 88 MB
% 32.93/5.86 % (723389)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4070856467:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 32.93/5.86 % (723386)------------------------------
% 32.93/5.86 % (723386)------------------------------
% 32.93/5.86 % (723384)Instruction limit reached!
% 32.93/5.86 % (723384)------------------------------
% 32.93/5.86 % (723384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723384)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723384)Termination reason: Instruction limit
% 32.93/5.86 % (723384)Termination phase: Saturation
% 32.93/5.86 % (723384)Time elapsed: 0.837 s
% 32.93/5.86 % (723384)Peak memory usage: 95 MB
% 32.93/5.86 % (723384)Instructions burned: 907 (million)
% 32.93/5.86 % (723392)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2607474576:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 32.93/5.86 % (723392)Instruction limit reached!
% 32.93/5.86 % (723392)------------------------------
% 32.93/5.86 % (723392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723392)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723392)Termination reason: Instruction limit
% 32.93/5.86 % (723392)Termination phase: Saturation
% 32.93/5.86 % (723392)Time elapsed: 0.102 s
% 32.93/5.86 % (723392)Peak memory usage: 89 MB
% 32.93/5.86 % (723392)Instructions burned: 134 (million)
% 32.93/5.86 % (723393)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1510026742:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 32.93/5.86 % (723393)Refutation not found, incomplete strategy
% 32.93/5.86 % (723393)------------------------------
% 32.93/5.86 % (723393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723393)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723393)Termination reason: Refutation not found, incomplete strategy
% 32.93/5.86 % (723393)Time elapsed: 0.001 s
% 32.93/5.86 % (723393)Peak memory usage: 87 MB
% 32.93/5.86 % (723395)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3756213406:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 32.93/5.86 % (723393)------------------------------
% 32.93/5.86 % (723393)------------------------------
% 32.93/5.86 % (723398)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1812548678:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 32.93/5.86 % (723398)Instruction limit reached!
% 32.93/5.86 % (723398)------------------------------
% 32.93/5.86 % (723398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723398)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723398)Termination reason: Instruction limit
% 32.93/5.86 % (723398)Termination phase: Saturation
% 32.93/5.86 % (723398)Time elapsed: 0.111 s
% 32.93/5.86 % (723398)Peak memory usage: 89 MB
% 32.93/5.86 % (723398)Instructions burned: 125 (million)
% 32.93/5.86 % (723400)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1932878166:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 32.93/5.86 % (723376)Instruction limit reached!
% 32.93/5.86 % (723376)------------------------------
% 32.93/5.86 % (723376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723376)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723376)Termination reason: Instruction limit
% 32.93/5.86 % (723376)Termination phase: Saturation
% 32.93/5.86 % (723376)Time elapsed: 2.509 s
% 32.93/5.86 % (723376)Peak memory usage: 141 MB
% 32.93/5.86 % (723376)Instructions burned: 2351 (million)
% 32.93/5.86 % (723400)Instruction limit reached!
% 32.93/5.86 % (723400)------------------------------
% 32.93/5.86 % (723400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723400)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723400)Termination reason: Instruction limit
% 32.93/5.86 % (723400)Termination phase: Saturation
% 32.93/5.86 % (723400)Time elapsed: 0.136 s
% 32.93/5.86 % (723400)Peak memory usage: 90 MB
% 32.93/5.86 % (723400)Instructions burned: 134 (million)
% 32.93/5.86 % (723402)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=11276307:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 32.93/5.86 % (723402)Refutation not found, incomplete strategy
% 32.93/5.86 % (723402)------------------------------
% 32.93/5.86 % (723402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723402)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723402)Termination reason: Refutation not found, incomplete strategy
% 32.93/5.86 % (723402)Time elapsed: 0.002 s
% 32.93/5.86 % (723402)Peak memory usage: 88 MB
% 32.93/5.86 % (723403)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3808013013:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2962 on theBenchmark for (2962ds/431Mi)
% 32.93/5.86 % (723395)First to succeed.
% 32.93/5.86 % (723395)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-723349"
% 32.93/5.86 % (723402)------------------------------
% 32.93/5.86 % (723402)------------------------------
% 32.93/5.86 % (723403)Instruction limit reached!
% 32.93/5.86 % (723403)------------------------------
% 32.93/5.86 % (723403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.93/5.86 % (723403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.93/5.86 % (723403)CaDiCaL version: 2.1.3
% 32.93/5.86 % (723403)Termination reason: Instruction limit
% 32.93/5.86 % (723403)Termination phase: Saturation
% 32.93/5.86 % (723403)Time elapsed: 0.425 s
% 32.93/5.86 % (723403)Peak memory usage: 91 MB
% 32.93/5.86 % (723403)Instructions burned: 431 (million)
% 32.93/5.86 % (723406)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1583225279:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 32.93/5.86 % (723395)Refutation found. Thanks to Tanya!
% 32.93/5.86 % SZS status Theorem for theBenchmark
% 32.93/5.86 % SZS output start Proof for theBenchmark
% See solution above
% 34.16/6.21 % (723395)------------------------------
% 34.16/6.21 % (723395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.21 % (723395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.21 % (723395)CaDiCaL version: 2.1.3
% 34.16/6.21 % (723395)Termination reason: Refutation
% 34.16/6.21 % (723395)Time elapsed: 1.429 s
% 34.16/6.21 % (723395)Peak memory usage: 131 MB
% 34.16/6.21 % (723395)Instructions burned: 1285 (million)
% 34.16/6.21 % (723395)------------------------------
% 34.16/6.21 % (723395)------------------------------
% 34.16/6.21 % (723349)Success in time 4.707 s
% 34.16/6.21 % Vampire exiting
%------------------------------------------------------------------------------