%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN400+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 : n016.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 01:50:30 PM UTC 2026
% Result : Theorem 2.50s 1.10s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 2 ( 1 usr; 2 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : p
<=> p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish227) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : p
<=> p ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( p
<=> p ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( p
<~> p ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ p
| ~ p )
& ( p
| p ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
( p
| p ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
( ~ p
| ~ p ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
p,
inference(duplicate_literal_removal,[],[f6]) ).
fof(f9,plain,
~ p,
inference(duplicate_literal_removal,[],[f7]) ).
fof(f10,plain,
$false,
inference(resolution,[],[f9,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN400+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n016.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 15:59:04 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 2.50/1.10 % (3730344)Detected formulas, will run a generic FOF schedule.
% 2.50/1.10 % (3730464)dis-21_1_sil=8000:lcm=predicate:random_seed=552164037: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)
% 2.50/1.10 % (3730464)First to succeed.
% 2.50/1.10 % (3730464)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3730344"
% 2.50/1.10 % (3730462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3470925369:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 2.50/1.10 % (3730458)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=102356392:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 2.50/1.10 % (3730460)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=864468410:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 2.50/1.10 % (3730455)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=1691790524:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 2.50/1.10 % (3730456)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=463108127:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 2.50/1.10 % (3730454)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=684367160:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 2.50/1.10 % (3730458)Also succeeded, but the first one will report.
% 2.50/1.10 % (3730460)Also succeeded, but the first one will report.
% 2.50/1.10 % (3730462)Also succeeded, but the first one will report.
% 2.50/1.10 % (3730464)Refutation found. Thanks to Tanya!
% 2.50/1.10 % SZS status Theorem for theBenchmark
% 2.50/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.10 % (3730464)------------------------------
% 2.50/1.10 % (3730464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.10 % (3730464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.10 % (3730464)CaDiCaL version: 2.1.3
% 2.50/1.10 % (3730464)Termination reason: Refutation
% 2.50/1.10 % (3730464)Time elapsed: 0.001 s
% 2.50/1.10 % (3730464)Peak memory usage: 88 MB
% 2.50/1.10 % (3730464)------------------------------
% 2.50/1.10 % (3730464)------------------------------
% 2.50/1.10 % (3730344)Success in time 0.266 s
% 2.50/1.10 % Vampire exiting
%------------------------------------------------------------------------------