%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN961+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 02:06:04 PM UTC 2026
% Result : Theorem 0.88s 1.13s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 2 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 9 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] : p(X2)
=> ( p(X0)
& p(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] : p(X2)
=> ( p(X0)
& p(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1] :
( ( ~ p(X0)
| ~ p(X1) )
& ! [X2] : p(X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ~ p(sK0)
| ~ p(sK1) )
& ! [X2] : p(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f3]) ).
fof(f5,plain,
! [X2] : p(X2),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
( ~ p(sK0)
| ~ p(sK1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,definition,
( spl2_1
<=> p(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f9,plain,
( ~ p(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,definition,
( spl2_2
<=> p(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f12,plain,
( ~ p(sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f13,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f6,f11,f8]) ).
fof(f14,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f9,f5]) ).
fof(f15,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f14]) ).
fof(f16,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f12,f5]) ).
fof(f17,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f16]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
spl2_1,
inference(sat_conversion,[],[f15]) ).
cnf(s3,plain,
spl2_2,
inference(sat_conversion,[],[f17]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f18,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN961+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.29 % Computer : n013.cluster.edu
% 0.13/0.29 % Model : x86_64 x86_64
% 0.13/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.29 % Memory : 8046.5625MB
% 0.13/0.29 % OS : Linux 6.8.0-71-generic
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Mon Sep 28 17:16:22 UTC 2026
% 0.13/0.29 % CPUTime :
% 0.13/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.32 Running first-order theorem proving
% 0.13/0.32 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
% 0.88/1.13 % (1331410)Detected formulas, will run a generic FOF schedule.
% 0.88/1.13 % (1331421)dis-21_1_sil=8000:lcm=predicate:random_seed=3248691399: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)
% 0.88/1.13 % (1331421)First to succeed.
% 0.88/1.13 % (1331421)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1331410"
% 0.88/1.13 % (1331420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2285032516:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.88/1.13 % (1331420)Also succeeded, but the first one will report.
% 0.88/1.13 % (1331416)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=4240733618:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.88/1.13 % (1331419)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1288516748:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.88/1.13 % (1331418)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1391910447:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.88/1.13 % (1331417)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=2301464530:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.88/1.13 % (1331415)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=592563113:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.88/1.13 % (1331419)Also succeeded, but the first one will report.
% 0.88/1.13 % (1331418)Also succeeded, but the first one will report.
% 0.88/1.13 % (1331421)Refutation found. Thanks to Tanya!
% 0.88/1.13 % SZS status Theorem for theBenchmark
% 0.88/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.88/1.13 % (1331421)------------------------------
% 0.88/1.13 % (1331421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.88/1.13 % (1331421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/1.13 % (1331421)CaDiCaL version: 2.1.3
% 0.88/1.13 % (1331421)Termination reason: Refutation
% 0.88/1.13 % (1331421)Time elapsed: 0.001 s
% 0.88/1.13 % (1331421)Peak memory usage: 89 MB
% 0.88/1.13 % (1331421)------------------------------
% 0.88/1.13 % (1331421)------------------------------
% 0.88/1.13 % (1331410)Success in time 0.285 s
% 0.88/1.13 % Vampire exiting
%------------------------------------------------------------------------------