%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL369+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:07 AM UTC 2026
% Result : Theorem 13.99s 2.87s
% Output : Refutation 13.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 24 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 41 ~; 38 |; 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 : 145 ( 145 !; 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(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_25) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,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(x,y),z),implies(implies(x,u),implies(implies(u,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(f20,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f10]) ).
fof(f21,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(f22,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(f26,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f10]) ).
fof(f27,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
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(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,[],[f21,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(f85,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)),X4),implies(implies(X0,X3),X4))),
inference(resolution,[],[f22,f15]) ).
fof(f86,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,[],[f22,f10]) ).
fof(f97,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,[],[f86,f10]) ).
fof(f122,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f97,f12]) ).
fof(f271,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f122,f20]) ).
fof(f280,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f271,f26]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(resolution,[],[f280,f52]) ).
fof(f371,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f280,f122]) ).
fof(f376,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f371,f18]) ).
fof(f391,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,[],[f376,f18]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(resolution,[],[f376,f97]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f376,f10]) ).
fof(f463,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f394,f10]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f463,f12]) ).
fof(f560,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f368,f12]) ).
fof(f597,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f560,f43]) ).
fof(f722,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),X3)) ),
inference(resolution,[],[f597,f391]) ).
fof(f725,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f597,f32]) ).
fof(f1008,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f722,f26]) ).
fof(f1024,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f1008,f12]) ).
fof(f1076,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1024,f402]) ).
fof(f1169,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f1076,f11]) ).
fof(f1213,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,[],[f1169,f402]) ).
fof(f1340,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f1213,f725]) ).
fof(f1372,plain,
$false,
inference(unit_resulting_resolution,[],[f475,f14,f85,f1340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL369+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:37:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 12.19/2.69 % (1396257)Detected formulas, will run a generic FOF schedule.
% 12.19/2.69 % (1396270)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=1766271519:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 12.19/2.69 % (1396273)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3551439268:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 12.19/2.69 % (1396273)Refutation not found, incomplete strategy
% 12.19/2.69 % (1396273)------------------------------
% 12.19/2.69 % (1396273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396273)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396273)Termination reason: Refutation not found, incomplete strategy
% 12.19/2.69 % (1396273)Time elapsed: 0.001 s
% 12.19/2.69 % (1396273)Peak memory usage: 87 MB
% 12.19/2.69 % (1396272)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=4216437022:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 12.19/2.69 % (1396271)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=2226042073:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 12.19/2.69 % (1396276)dis-21_1_sil=8000:lcm=predicate:random_seed=3263238950: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)
% 12.19/2.69 % (1396275)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1995989847:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 12.19/2.69 % (1396274)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1974110359:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 12.19/2.69 % (1396274)Instruction limit reached!
% 12.19/2.69 % (1396274)------------------------------
% 12.19/2.69 % (1396274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396274)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396274)Termination reason: Instruction limit
% 12.19/2.69 % (1396274)Termination phase: Saturation
% 12.19/2.69 % (1396274)Time elapsed: 0.106 s
% 12.19/2.69 % (1396274)Peak memory usage: 87 MB
% 12.19/2.69 % (1396274)Instructions burned: 119 (million)
% 12.19/2.69 % (1396276)Instruction limit reached!
% 12.19/2.69 % (1396276)------------------------------
% 12.19/2.69 % (1396276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396276)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396276)Termination reason: Instruction limit
% 12.19/2.69 % (1396276)Termination phase: Saturation
% 12.19/2.69 % (1396276)Time elapsed: 0.128 s
% 12.19/2.69 % (1396276)Peak memory usage: 88 MB
% 12.19/2.69 % (1396276)Instructions burned: 129 (million)
% 12.19/2.69 % (1396275)Instruction limit reached!
% 12.19/2.69 % (1396275)------------------------------
% 12.19/2.69 % (1396275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396275)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396275)Termination reason: Instruction limit
% 12.19/2.69 % (1396275)Termination phase: Saturation
% 12.19/2.69 % (1396275)Time elapsed: 0.152 s
% 12.19/2.69 % (1396275)Peak memory usage: 89 MB
% 12.19/2.69 % (1396275)Instructions burned: 140 (million)
% 12.19/2.69 % (1396273)------------------------------
% 12.19/2.69 % (1396273)------------------------------
% 12.19/2.69 % (1396289)lrs+10_1_sil=8000:sp=occurrence:random_seed=3024683672:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.19/2.69 % (1396292)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4120145129:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.19/2.69 % (1396293)lrs+1011_1_sil=32000:sp=occurrence:random_seed=170219740:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.19/2.69 % (1396296)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=3527477940:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.19/2.69 % (1396292)Instruction limit reached!
% 12.19/2.69 % (1396292)------------------------------
% 12.19/2.69 % (1396292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396292)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396292)Termination reason: Instruction limit
% 12.19/2.69 % (1396292)Termination phase: Saturation
% 12.19/2.69 % (1396292)Time elapsed: 0.149 s
% 12.19/2.69 % (1396292)Peak memory usage: 89 MB
% 12.19/2.69 % (1396292)Instructions burned: 157 (million)
% 12.19/2.69 % (1396289)Instruction limit reached!
% 12.19/2.69 % (1396289)------------------------------
% 12.19/2.69 % (1396289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396289)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396289)Termination reason: Instruction limit
% 12.19/2.69 % (1396289)Termination phase: Saturation
% 12.19/2.69 % (1396289)Time elapsed: 0.290 s
% 12.19/2.69 % (1396289)Peak memory usage: 91 MB
% 12.19/2.69 % (1396289)Instructions burned: 286 (million)
% 12.19/2.69 % (1396296)Instruction limit reached!
% 12.19/2.69 % (1396296)------------------------------
% 12.19/2.69 % (1396296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396296)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396296)Termination reason: Instruction limit
% 12.19/2.69 % (1396296)Termination phase: Saturation
% 12.19/2.69 % (1396296)Time elapsed: 0.217 s
% 12.19/2.69 % (1396296)Peak memory usage: 89 MB
% 12.19/2.69 % (1396296)Instructions burned: 248 (million)
% 12.19/2.69 % (1396293)Instruction limit reached!
% 12.19/2.69 % (1396293)------------------------------
% 12.19/2.69 % (1396293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396293)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396293)Termination reason: Instruction limit
% 12.19/2.69 % (1396293)Termination phase: Saturation
% 12.19/2.69 % (1396293)Time elapsed: 0.343 s
% 12.19/2.69 % (1396293)Peak memory usage: 93 MB
% 12.19/2.69 % (1396293)Instructions burned: 325 (million)
% 12.19/2.69 % (1396303)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2300438736:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.19/2.69 % (1396303)Refutation not found, incomplete strategy
% 12.19/2.69 % (1396303)------------------------------
% 12.19/2.69 % (1396303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396303)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396303)Termination reason: Refutation not found, incomplete strategy
% 12.19/2.69 % (1396303)Time elapsed: 0.001 s
% 12.19/2.69 % (1396303)Peak memory usage: 87 MB
% 12.19/2.69 % (1396307)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=636256833:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.19/2.69 % (1396308)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=69586086:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.19/2.69 % (1396310)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=156891954:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 12.19/2.69 % (1396308)Instruction limit reached!
% 12.19/2.69 % (1396308)------------------------------
% 12.19/2.69 % (1396308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396308)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396308)Termination reason: Instruction limit
% 12.19/2.69 % (1396308)Termination phase: Saturation
% 12.19/2.69 % (1396308)Time elapsed: 0.115 s
% 12.19/2.69 % (1396308)Peak memory usage: 89 MB
% 12.19/2.69 % (1396308)Instructions burned: 113 (million)
% 12.19/2.69 % (1396310)Instruction limit reached!
% 12.19/2.69 % (1396310)------------------------------
% 12.19/2.69 % (1396310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.69 % (1396310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.69 % (1396310)CaDiCaL version: 2.1.3
% 12.19/2.69 % (1396310)Termination reason: Instruction limit
% 12.19/2.69 % (1396310)Termination phase: Saturation
% 13.99/2.87 % (1396310)Time elapsed: 0.115 s
% 13.99/2.87 % (1396310)Peak memory usage: 88 MB
% 13.99/2.87 % (1396310)Instructions burned: 128 (million)
% 13.99/2.87 % (1396303)------------------------------
% 13.99/2.87 % (1396303)------------------------------
% 13.99/2.87 % (1396316)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=154148187:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 13.99/2.87 % (1396317)lrs+10_1_sil=8000:sp=occurrence:random_seed=2557616136:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 13.99/2.87 % (1396318)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1009661335:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 13.99/2.87 % (1396318)Refutation not found, incomplete strategy
% 13.99/2.87 % (1396318)------------------------------
% 13.99/2.87 % (1396318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.99/2.87 % (1396318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.87 % (1396318)CaDiCaL version: 2.1.3
% 13.99/2.87 % (1396318)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.87 % (1396318)Time elapsed: 0.001 s
% 13.99/2.87 % (1396318)Peak memory usage: 88 MB
% 13.99/2.87 % (1396316)Instruction limit reached!
% 13.99/2.87 % (1396316)------------------------------
% 13.99/2.87 % (1396316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.99/2.87 % (1396316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.87 % (1396316)CaDiCaL version: 2.1.3
% 13.99/2.87 % (1396316)Termination reason: Instruction limit
% 13.99/2.87 % (1396316)Termination phase: Saturation
% 13.99/2.87 % (1396316)Time elapsed: 0.083 s
% 13.99/2.87 % (1396316)Peak memory usage: 89 MB
% 13.99/2.87 % (1396316)Instructions burned: 114 (million)
% 13.99/2.87 % (1396322)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3851441649:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 13.99/2.87 % (1396271)First to succeed.
% 13.99/2.87 % (1396271)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1396257"
% 13.99/2.87 % (1396318)------------------------------
% 13.99/2.87 % (1396318)------------------------------
% 13.99/2.87 % (1396325)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3515847931:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 13.99/2.87 % (1396325)Instruction limit reached!
% 13.99/2.87 % (1396325)------------------------------
% 13.99/2.87 % (1396325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.99/2.87 % (1396325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.87 % (1396325)CaDiCaL version: 2.1.3
% 13.99/2.87 % (1396325)Termination reason: Instruction limit
% 13.99/2.87 % (1396325)Termination phase: Saturation
% 13.99/2.87 % (1396325)Time elapsed: 0.076 s
% 13.99/2.87 % (1396325)Peak memory usage: 89 MB
% 13.99/2.87 % (1396325)Instructions burned: 134 (million)
% 13.99/2.87 % (1396271)Refutation found. Thanks to Tanya!
% 13.99/2.87 % SZS status Theorem for theBenchmark
% 13.99/2.87 % SZS output start Proof for theBenchmark
% See solution above
% 13.99/2.87 % (1396271)------------------------------
% 13.99/2.87 % (1396271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.99/2.87 % (1396271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.87 % (1396271)CaDiCaL version: 2.1.3
% 13.99/2.87 % (1396271)Termination reason: Refutation
% 13.99/2.87 % (1396271)Time elapsed: 1.448 s
% 13.99/2.87 % (1396271)Peak memory usage: 132 MB
% 13.99/2.87 % (1396271)Instructions burned: 1637 (million)
% 13.99/2.87 % (1396271)------------------------------
% 13.99/2.87 % (1396271)------------------------------
% 13.99/2.87 % (1396257)Success in time 1.907 s
% 13.99/2.87 % Vampire exiting
%------------------------------------------------------------------------------