%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL491+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:52:36 AM UTC 2026
% Result : Theorem 3.35s 1.24s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 14 unt; 4 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 15 |; 0 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
( or_2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_2) ).
fof(f23,axiom,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r2) ).
fof(f45,conjecture,
or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).
fof(f46,negated_conjecture,
~ or_2,
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
~ or_2,
inference(flattening,[],[f46]) ).
fof(f51,plain,
( r2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f53,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
=> or_2 ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f59,plain,
( or_2
| ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1))) ),
inference(ennf_transformation,[],[f53]) ).
fof(f61,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(ennf_transformation,[],[f51]) ).
fof(f70,plain,
( or_2
| ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f59]) ).
fof(f73,plain,
( or_2
| ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
inference(cnf_transformation,[],[f70]) ).
fof(f75,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f89,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f97,plain,
~ or_2,
inference(cnf_transformation,[],[f47]) ).
fof(f163,definition,
( spl2_17
<=> r2 ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f167,definition,
( spl2_18
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f168,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f75,f167,f163]) ).
fof(f179,definition,
( spl2_21
<=> is_a_theorem(implies(sK1,or(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f181,plain,
( ~ is_a_theorem(implies(sK1,or(sK0,sK1)))
| spl2_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f183,definition,
( spl2_22
<=> or_2 ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f186,plain,
( ~ spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f73,f183,f179]) ).
fof(f203,plain,
~ spl2_22,
inference(avatar_split_clause,[],[f97,f183]) ).
fof(f222,plain,
spl2_17,
inference(avatar_split_clause,[],[f89,f163]) ).
fof(f241,plain,
( $false
| ~ spl2_18
| spl2_21 ),
inference(resolution,[],[f168,f181]) ).
fof(f243,plain,
( ~ spl2_18
| spl2_21 ),
inference(avatar_contradiction_clause,[],[f241]) ).
cnf(s9,plain,
( ~ spl2_17
| spl2_18 ),
inference(sat_conversion,[],[f169]) ).
cnf(s11,plain,
( ~ spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f186]) ).
cnf(s14,plain,
~ spl2_22,
inference(sat_conversion,[],[f203]) ).
cnf(s26,plain,
spl2_17,
inference(sat_conversion,[],[f222]) ).
cnf(s39,plain,
( ~ spl2_18
| spl2_21 ),
inference(sat_conversion,[],[f243]) ).
cnf(s42,plain,
~ spl2_21,
inference(rat,[],[s11,s14]) ).
cnf(s43,plain,
~ spl2_18,
inference(rat,[],[s39,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s9,s43,s26]) ).
fof(f244,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL491+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:53:46 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.35/1.24 % (1815490)Detected formulas, will run a generic FOF schedule.
% 3.35/1.24 % (1815500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=532304815:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.35/1.24 % (1815498)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3644011184:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.35/1.24 % (1815496)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=4225901521:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.35/1.24 % (1815501)dis-21_1_sil=8000:lcm=predicate:random_seed=1406002002: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)
% 3.35/1.24 % (1815495)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=1302727497:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.35/1.24 % (1815497)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=2683592985:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.35/1.24 % (1815499)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3702808217:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.35/1.24 % (1815499)Refutation not found, incomplete strategy
% 3.35/1.24 % (1815499)------------------------------
% 3.35/1.24 % (1815499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.24 % (1815499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.24 % (1815498)Refutation not found, incomplete strategy
% 3.35/1.24 % (1815498)------------------------------
% 3.35/1.24 % (1815498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.24 % (1815499)CaDiCaL version: 2.1.3
% 3.35/1.24 % (1815499)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.24 % (1815499)Time elapsed: 0.001 s
% 3.35/1.24 % (1815498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.24 % (1815499)Peak memory usage: 86 MB
% 3.35/1.24 % (1815498)CaDiCaL version: 2.1.3
% 3.35/1.24 % (1815498)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.24 % (1815498)Time elapsed: 0.001 s
% 3.35/1.24 % (1815498)Peak memory usage: 86 MB
% 3.35/1.24 % (1815501)Refutation not found, incomplete strategy
% 3.35/1.24 % (1815501)------------------------------
% 3.35/1.24 % (1815501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.24 % (1815501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.24 % (1815501)CaDiCaL version: 2.1.3
% 3.35/1.24 % (1815501)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.24 % (1815501)Time elapsed: 0.001 s
% 3.35/1.24 % (1815501)Peak memory usage: 88 MB
% 3.35/1.24 % (1815501)Instructions burned: 1 (million)
% 3.35/1.24 % (1815500)First to succeed.
% 3.35/1.24 % (1815500)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1815490"
% 3.35/1.24 % (1815500)Refutation found. Thanks to Tanya!
% 3.35/1.24 % SZS status Theorem for theBenchmark
% 3.35/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.35/1.24 % (1815500)------------------------------
% 3.35/1.24 % (1815500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.24 % (1815500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.24 % (1815500)CaDiCaL version: 2.1.3
% 3.35/1.24 % (1815500)Termination reason: Refutation
% 3.35/1.24 % (1815500)Time elapsed: 0.004 s
% 3.35/1.24 % (1815500)Peak memory usage: 89 MB
% 3.35/1.24 % (1815500)Instructions burned: 3 (million)
% 3.35/1.24 % (1815500)------------------------------
% 3.35/1.24 % (1815500)------------------------------
% 3.35/1.24 % (1815490)Success in time 0.418 s
% 3.35/1.24 % Vampire exiting
%------------------------------------------------------------------------------