%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN950+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 02:22:56 PM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 6 unt; 3 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 26 |; 11 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( p(X3)
=> p(X0) )
& ( q(X3)
=> p(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( p(X3)
=> p(X0) )
& ( q(X3)
=> p(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X3] :
( ( ~ p(X0)
& p(X3) )
| ( ~ p(X1)
& q(X3) ) )
& ! [X2] :
( p(X2)
| ~ q(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ p(X0)
& p(X2) )
| ( ~ p(X1)
& q(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X2] :
( ( ~ p(sK0)
& p(X2) )
| ( ~ p(sK1)
& q(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f4]) ).
fof(f6,plain,
! [X3] :
( p(X3)
| ~ q(X3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2] :
( p(X2)
| q(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X2] :
( p(X2)
| ~ p(sK1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
( ~ p(sK0)
| ~ p(sK1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X2] :
( p(X2)
| ~ q(X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f13,plain,
! [X3] :
( p(X3)
| q(X3) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f15,definition,
( spl2_1
<=> p(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f17,plain,
( ~ p(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl2_2
<=> ! [X2] : p(X2) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f20,plain,
( ! [X2] : p(X2)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f21,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f8,f19,f15]) ).
fof(f26,definition,
( spl2_4
<=> p(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f28,plain,
( ~ p(sK0)
| spl2_4 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f10,f26,f15]) ).
fof(f31,plain,
( ~ q(sK1)
| spl2_1 ),
inference(resolution,[],[f12,f17]) ).
fof(f33,plain,
( q(sK1)
| spl2_1 ),
inference(resolution,[],[f13,f17]) ).
fof(f35,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f33,f31]) ).
fof(f36,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f37,plain,
( $false
| ~ spl2_2
| spl2_4 ),
inference(resolution,[],[f20,f28]) ).
fof(f38,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f37]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(sat_conversion,[],[f30]) ).
cnf(s4,plain,
spl2_1,
inference(sat_conversion,[],[f36]) ).
cnf(s5,plain,
( ~ spl2_2
| spl2_4 ),
inference(sat_conversion,[],[f38]) ).
cnf(s6,plain,
~ spl2_4,
inference(rat,[],[s3,s4]) ).
cnf(s7,plain,
~ spl2_2,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s4]) ).
fof(f39,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN950+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 17:18:25 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.27 % (3551093)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (3551104)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3502159832:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.27 % (3551104) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3551093-3551104"...
% 0.09/0.27 % (3551104)...printing done.
% 0.09/0.27 % (3551104)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Theorem for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (3551104)------------------------------
% 0.09/0.27 % (3551104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (3551104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (3551104)CaDiCaL version: 2.1.3
% 0.09/0.27 % (3551104)Termination reason: Refutation
% 0.09/0.27 % (3551104)Time elapsed: 0.001 s
% 0.09/0.27 % (3551104)Peak memory usage: 12 MB
% 0.09/0.27 % (3551104)Instructions burned: 1 (million)
% 0.09/0.27 % (3551093)Success in time 0.031 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------