%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:51:26 AM UTC 2026
% Result : Theorem 2.57s 1.32s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 8 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 18 |; 6 &)
% ( 4 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel4) ).
fof(f2,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( q
| p )
<~> ( p
| q ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ( ~ p
& ~ q )
| ( ~ q
& ~ p ) )
& ( p
| q
| q
| p ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ( ~ p
& ~ q )
| ( ~ q
& ~ p ) )
& ( p
| q
| q
| p ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( p
| q
| q
| p ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( ~ q
| ~ q ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
( ~ p
| ~ p ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
( p
| q ),
inference(duplicate_literal_removal,[],[f6]) ).
fof(f12,plain,
~ q,
inference(duplicate_literal_removal,[],[f8]) ).
fof(f13,plain,
~ p,
inference(duplicate_literal_removal,[],[f9]) ).
fof(f15,definition,
( spl0_1
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f19,definition,
( spl0_2
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f22,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f19,f15]) ).
fof(f24,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f12,f15]) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f13,f19]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f24]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f25]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.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 15:28:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 2.57/1.32 % (1783578)Detected formulas, will run a generic FOF schedule.
% 2.57/1.32 % (1783679)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1520521880:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 2.57/1.32 % (1783679)First to succeed.
% 2.57/1.32 % (1783679)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1783578"
% 2.57/1.32 % (1783675)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=2344181067:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 2.57/1.32 % (1783674)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=3047999836:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 2.57/1.32 % (1783676)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2365238621:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 2.57/1.32 % (1783678)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=888752212:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 2.57/1.32 % (1783672)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=2493616368:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 2.57/1.32 % (1783680)dis-21_1_sil=8000:lcm=predicate:random_seed=3570100090: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)
% 2.57/1.32 % (1783678)Also succeeded, but the first one will report.
% 2.57/1.32 % (1783680)Also succeeded, but the first one will report.
% 2.57/1.32 % (1783676)Also succeeded, but the first one will report.
% 2.57/1.32 % (1783679)Refutation found. Thanks to Tanya!
% 2.57/1.32 % SZS status Theorem for theBenchmark
% 2.57/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.32 % (1783679)------------------------------
% 2.57/1.32 % (1783679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.32 % (1783679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.32 % (1783679)CaDiCaL version: 2.1.3
% 2.57/1.32 % (1783679)Termination reason: Refutation
% 2.57/1.32 % (1783679)Time elapsed: 0.001 s
% 2.57/1.32 % (1783679)Peak memory usage: 89 MB
% 2.57/1.32 % (1783679)------------------------------
% 2.57/1.32 % (1783679)------------------------------
% 2.57/1.32 % (1783578)Success in time 0.269 s
% 2.57/1.32 % Vampire exiting
%------------------------------------------------------------------------------