%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN391+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 : n007.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 01:50:28 PM UTC 2026
% Result : Theorem 2.61s 1.06s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 57 ( 25 ~; 20 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) )
=> ~ ( ~ p1
| ~ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel9) ).
fof(f2,negated_conjecture,
~ ( ( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) )
=> ~ ( ~ p1
| ~ p2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ p1
| ~ p2 )
& ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ~ p1
| ~ p2 )
& ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( p1
| ~ p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
( p2
| ~ p1 ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
( p1
| p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
( ~ p1
| ~ p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
p1,
inference(forward_subsumption_resolution,[],[f7,f5]) ).
fof(f10,plain,
~ p2,
inference(forward_subsumption_resolution,[],[f8,f9]) ).
fof(f11,plain,
~ p1,
inference(resolution,[],[f10,f6]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN391+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:51:46 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.61/1.06 % (2517442)Detected formulas, will run a generic FOF schedule.
% 2.61/1.06 % (2517451)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2473300185:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.61/1.06 % (2517451)First to succeed.
% 2.61/1.06 % (2517451)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2517442"
% 2.61/1.06 % (2517450)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2470386826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.61/1.06 % (2517447)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=3280349614:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.61/1.06 % (2517448)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=3802033666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.61/1.06 % (2517449)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=3636444890:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.61/1.06 % (2517450)Also succeeded, but the first one will report.
% 2.61/1.06 % (2517452)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3499270036:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.61/1.06 % (2517453)dis-21_1_sil=8000:lcm=predicate:random_seed=1780589912: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)
% 2.61/1.06 % (2517452)Also succeeded, but the first one will report.
% 2.61/1.06 % (2517453)Also succeeded, but the first one will report.
% 2.61/1.06 % (2517451)Refutation found. Thanks to Tanya!
% 2.61/1.06 % SZS status Theorem for theBenchmark
% 2.61/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.06 % (2517451)------------------------------
% 2.61/1.06 % (2517451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.06 % (2517451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.06 % (2517451)CaDiCaL version: 2.1.3
% 2.61/1.06 % (2517451)Termination reason: Refutation
% 2.61/1.06 % (2517451)Time elapsed: 0.001 s
% 2.61/1.06 % (2517451)Peak memory usage: 88 MB
% 2.61/1.06 % (2517451)------------------------------
% 2.61/1.06 % (2517451)------------------------------
% 2.61/1.06 % (2517442)Success in time 0.291 s
% 2.61/1.06 % Vampire exiting
%------------------------------------------------------------------------------