%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL295-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 11:51:54 AM UTC 2026
% Result : Unsatisfiable 10.34s 2.45s
% Output : Refutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 31 unt; 2 def)
% Number of atoms : 91 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 33 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(not(implies(p,q)),and(p,not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
~ theorem(not(or(not(or(not(not(or(not(p),q))),not(or(not(p),not(not(q)))))),not(or(not(not(or(not(p),not(not(q))))),not(or(not(p),q))))))),
inference(definition_unfolding,[],[f11,f12,f6,f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f19,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f22,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f20]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f21,f14]) ).
fof(f27,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f26,f20]) ).
fof(f33,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f22,f14]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f33,f14]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f35,f20]) ).
fof(f46,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f35,f24]) ).
fof(f54,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f43,f23]) ).
fof(f65,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f46,f54]) ).
fof(f71,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f65,f25]) ).
fof(f72,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f71,f35]) ).
fof(f76,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f27,f14]) ).
fof(f85,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f76,f25]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f85,f14]) ).
fof(f89,plain,
( ~ theorem(or(not(not(or(not(p),not(not(q))))),not(or(not(p),q))))
| ~ theorem(or(not(not(or(not(p),q))),not(or(not(p),not(not(q)))))) ),
inference(resolution,[],[f87,f13]) ).
fof(f91,definition,
( spl0_1
<=> theorem(or(not(not(or(not(p),q))),not(or(not(p),not(not(q)))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f93,plain,
( ~ theorem(or(not(not(or(not(p),q))),not(or(not(p),not(not(q))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_2
<=> theorem(or(not(not(or(not(p),not(not(q))))),not(or(not(p),q)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f97,plain,
( ~ theorem(or(not(not(or(not(p),not(not(q))))),not(or(not(p),q))))
| spl0_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f89,f95,f91]) ).
fof(f216,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f72,f25]) ).
fof(f219,plain,
( ~ theorem(or(not(or(not(p),not(not(q)))),or(not(p),q)))
| spl0_1 ),
inference(resolution,[],[f216,f93]) ).
fof(f226,plain,
( ~ theorem(or(not(not(not(q))),q))
| spl0_1 ),
inference(resolution,[],[f219,f33]) ).
fof(f314,plain,
( ~ theorem(or(not(or(not(p),q)),or(not(p),not(not(q)))))
| spl0_2 ),
inference(resolution,[],[f97,f216]) ).
fof(f315,plain,
( ~ theorem(or(not(q),not(not(q))))
| spl0_2 ),
inference(resolution,[],[f314,f33]) ).
fof(f317,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f315,f71]) ).
fof(f318,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f437,plain,
( ~ theorem(or(q,not(q)))
| spl0_1 ),
inference(resolution,[],[f226,f216]) ).
fof(f438,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f437,f71]) ).
fof(f439,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f438]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f98]) ).
cnf(s9,plain,
spl0_2,
inference(sat_conversion,[],[f318]) ).
cnf(s15,plain,
spl0_1,
inference(sat_conversion,[],[f439]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s9,s15]) ).
fof(f440,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL295-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n006.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:33:10 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 9.44/2.26 % (3111066)Input is clausal, will run a generic CNF schedule.
% 9.44/2.26 % (3111169)dis-21_1_sil=8000:lcm=predicate:random_seed=123164937:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.44/2.26 % (3111169)Instruction limit reached!
% 9.44/2.26 % (3111169)------------------------------
% 9.44/2.26 % (3111169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111169)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111169)Termination reason: Instruction limit
% 9.44/2.26 % (3111169)Termination phase: Saturation
% 9.44/2.26 % (3111169)Time elapsed: 0.054 s
% 9.44/2.26 % (3111169)Peak memory usage: 87 MB
% 9.44/2.26 % (3111169)Instructions burned: 118 (million)
% 9.44/2.26 % (3111163)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=4168253195:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.44/2.26 % (3111164)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2290295303:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.44/2.26 % (3111166)lrs+10_1_sil=8000:sp=occurrence:random_seed=1839801023:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.44/2.26 % (3111165)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3534084375:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.44/2.26 % (3111167)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4129494664:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.44/2.26 % (3111168)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2016591068:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.44/2.26 % (3111167)Instruction limit reached!
% 9.44/2.26 % (3111167)------------------------------
% 9.44/2.26 % (3111167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111167)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111167)Termination reason: Instruction limit
% 9.44/2.26 % (3111167)Termination phase: Saturation
% 9.44/2.26 % (3111167)Time elapsed: 0.089 s
% 9.44/2.26 % (3111167)Peak memory usage: 88 MB
% 9.44/2.26 % (3111167)Instructions burned: 115 (million)
% 9.44/2.26 % (3111166)Instruction limit reached!
% 9.44/2.26 % (3111166)------------------------------
% 9.44/2.26 % (3111166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111166)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111166)Termination reason: Instruction limit
% 9.44/2.26 % (3111166)Termination phase: Saturation
% 9.44/2.26 % (3111166)Time elapsed: 0.112 s
% 9.44/2.26 % (3111166)Peak memory usage: 89 MB
% 9.44/2.26 % (3111166)Instructions burned: 107 (million)
% 9.44/2.26 % (3111168)Instruction limit reached!
% 9.44/2.26 % (3111168)------------------------------
% 9.44/2.26 % (3111168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111168)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111168)Termination reason: Instruction limit
% 9.44/2.26 % (3111168)Termination phase: Saturation
% 9.44/2.26 % (3111168)Time elapsed: 0.099 s
% 9.44/2.26 % (3111168)Peak memory usage: 89 MB
% 9.44/2.26 % (3111168)Instructions burned: 180 (million)
% 9.44/2.26 % (3111198)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1668765030:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.44/2.26 % (3111198)Refutation not found, incomplete strategy
% 9.44/2.26 % (3111198)------------------------------
% 9.44/2.26 % (3111198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111198)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111198)Termination reason: Refutation not found, incomplete strategy
% 9.44/2.26 % (3111198)Time elapsed: 0.001 s
% 9.44/2.26 % (3111198)Peak memory usage: 88 MB
% 9.44/2.26 % (3111210)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2136818900:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 9.44/2.26 % (3111210)Refutation not found, incomplete strategy
% 9.44/2.26 % (3111210)------------------------------
% 9.44/2.26 % (3111210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111210)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111210)Termination reason: Refutation not found, incomplete strategy
% 9.44/2.26 % (3111210)Time elapsed: 0.001 s
% 9.44/2.26 % (3111210)Peak memory usage: 87 MB
% 9.44/2.26 % (3111215)lrs+10_64_to=lpo:sil=8000:random_seed=997177419:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.44/2.26 % (3111213)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1758362280:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.44/2.26 % (3111213)Refutation not found, incomplete strategy
% 9.44/2.26 % (3111213)------------------------------
% 9.44/2.26 % (3111213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111213)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111213)Termination reason: Refutation not found, incomplete strategy
% 9.44/2.26 % (3111213)Time elapsed: 0.001 s
% 9.44/2.26 % (3111213)Peak memory usage: 88 MB
% 9.44/2.26 % (3111213)Instructions burned: 1 (million)
% 9.44/2.26 % (3111215)Instruction limit reached!
% 9.44/2.26 % (3111215)------------------------------
% 9.44/2.26 % (3111215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111215)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111215)Termination reason: Instruction limit
% 9.44/2.26 % (3111215)Termination phase: Saturation
% 9.44/2.26 % (3111215)Time elapsed: 0.039 s
% 9.44/2.26 % (3111215)Peak memory usage: 89 MB
% 9.44/2.26 % (3111215)Instructions burned: 128 (million)
% 9.44/2.26 % (3111244)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=152019347:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.44/2.26 % (3111198)------------------------------
% 9.44/2.26 % (3111198)------------------------------
% 9.44/2.26 % (3111244)Instruction limit reached!
% 9.44/2.26 % (3111244)------------------------------
% 9.44/2.26 % (3111244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111244)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111244)Termination reason: Instruction limit
% 9.44/2.26 % (3111244)Termination phase: Saturation
% 9.44/2.26 % (3111244)Time elapsed: 0.069 s
% 9.44/2.26 % (3111244)Peak memory usage: 90 MB
% 9.44/2.26 % (3111244)Instructions burned: 197 (million)
% 9.44/2.26 % (3111210)------------------------------
% 9.44/2.26 % (3111210)------------------------------
% 9.44/2.26 % (3111213)------------------------------
% 9.44/2.26 % (3111213)------------------------------
% 9.44/2.26 % (3111303)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3421526082:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 9.44/2.26 % (3111319)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=581336642:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 9.44/2.26 % (3111324)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1187279668:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 9.44/2.26 % (3111331)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1623987331:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.44/2.26 % (3111331)Refutation not found, incomplete strategy
% 9.44/2.26 % (3111331)------------------------------
% 9.44/2.26 % (3111331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.26 % (3111331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.26 % (3111331)CaDiCaL version: 2.1.3
% 9.44/2.26 % (3111331)Termination reason: Refutation not found, incomplete strategy
% 9.44/2.26 % (3111331)Time elapsed: 0.001 s
% 9.44/2.26 % (3111331)Peak memory usage: 87 MB
% 9.44/2.26 % (3111324)Instruction limit reached!
% 9.44/2.26 % (3111324)------------------------------
% 10.34/2.45 % (3111324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.45 % (3111324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.45 % (3111324)CaDiCaL version: 2.1.3
% 10.34/2.45 % (3111324)Termination reason: Instruction limit
% 10.34/2.45 % (3111324)Termination phase: Saturation
% 10.34/2.45 % (3111324)Time elapsed: 0.056 s
% 10.34/2.45 % (3111324)Peak memory usage: 89 MB
% 10.34/2.45 % (3111324)Instructions burned: 106 (million)
% 10.34/2.45 % (3111303)Instruction limit reached!
% 10.34/2.45 % (3111303)------------------------------
% 10.34/2.45 % (3111303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.45 % (3111303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.45 % (3111303)CaDiCaL version: 2.1.3
% 10.34/2.45 % (3111303)Termination reason: Instruction limit
% 10.34/2.45 % (3111303)Termination phase: Saturation
% 10.34/2.45 % (3111303)Time elapsed: 0.104 s
% 10.34/2.45 % (3111303)Peak memory usage: 91 MB
% 10.34/2.45 % (3111303)Instructions burned: 158 (million)
% 10.34/2.45 % (3111359)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1474678442:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 10.34/2.45 % (3111363)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=169276683:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 10.34/2.45 % (3111331)------------------------------
% 10.34/2.45 % (3111331)------------------------------
% 10.34/2.45 % (3111359)Instruction limit reached!
% 10.34/2.45 % (3111359)------------------------------
% 10.34/2.45 % (3111359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.45 % (3111359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.45 % (3111359)CaDiCaL version: 2.1.3
% 10.34/2.45 % (3111359)Termination reason: Instruction limit
% 10.34/2.45 % (3111359)Termination phase: Saturation
% 10.34/2.45 % (3111359)Time elapsed: 0.144 s
% 10.34/2.45 % (3111359)Peak memory usage: 91 MB
% 10.34/2.45 % (3111359)Instructions burned: 243 (million)
% 10.34/2.45 % (3111319)First to succeed.
% 10.34/2.45 % (3111319)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3111066"
% 10.34/2.45 % (3111387)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4094761330:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 10.34/2.45 % (3111387)Instruction limit reached!
% 10.34/2.45 % (3111387)------------------------------
% 10.34/2.45 % (3111387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.45 % (3111387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.45 % (3111387)CaDiCaL version: 2.1.3
% 10.34/2.45 % (3111387)Termination reason: Instruction limit
% 10.34/2.45 % (3111387)Termination phase: Saturation
% 10.34/2.45 % (3111387)Time elapsed: 0.087 s
% 10.34/2.45 % (3111387)Peak memory usage: 90 MB
% 10.34/2.45 % (3111387)Instructions burned: 135 (million)
% 10.34/2.45 % (3111319)Refutation found. Thanks to Tanya!
% 10.34/2.45 % SZS status Unsatisfiable for theBenchmark
% 10.34/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 10.34/2.45 % (3111319)------------------------------
% 10.34/2.45 % (3111319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.45 % (3111319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.45 % (3111319)CaDiCaL version: 2.1.3
% 10.34/2.45 % (3111319)Termination reason: Refutation
% 10.34/2.45 % (3111319)Time elapsed: 0.395 s
% 10.34/2.45 % (3111319)Peak memory usage: 130 MB
% 10.34/2.45 % (3111319)Instructions burned: 1039 (million)
% 10.34/2.45 % (3111319)------------------------------
% 10.34/2.45 % (3111319)------------------------------
% 10.34/2.45 % (3111066)Success in time 1.386 s
% 10.34/2.45 % Vampire exiting
%------------------------------------------------------------------------------