%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN945+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 : 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 02:22:55 PM UTC 2026
% Result : Theorem 0.08s 0.27s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 2 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 3 &)
% ( 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 : 10 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : p(X0)
=> ! [X1,X2] :
( p(X1)
& p(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : p(X0)
=> ! [X1,X2] :
( p(X1)
& p(X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X1,X2] :
( ~ p(X1)
| ~ p(X2) )
& ! [X0] : p(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ~ p(sK1)
| ~ p(sK0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X0] : p(X0),
inference(cnf_transformation,[],[f3]) ).
fof(f7,definition,
( spl2_1
<=> p(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f9,plain,
( ~ p(sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl2_2
<=> p(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f13,plain,
( ~ p(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f14,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f4,f11,f7]) ).
fof(f15,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f9,f5]) ).
fof(f16,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f15]) ).
fof(f17,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f13,f5]) ).
fof(f18,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f17]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s2,plain,
spl2_1,
inference(sat_conversion,[],[f16]) ).
cnf(s3,plain,
spl2_2,
inference(sat_conversion,[],[f18]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f19,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN945+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:18:53 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.27 % (2786773)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (2786782)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4230071018:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.27 % (2786782) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2786773-2786782"...
% 0.08/0.27 % (2786782)...printing done.
% 0.08/0.27 % (2786782)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Theorem for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (2786782)------------------------------
% 0.08/0.27 % (2786782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (2786782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (2786782)CaDiCaL version: 2.1.3
% 0.08/0.27 % (2786782)Termination reason: Refutation
% 0.08/0.27 % (2786782)Time elapsed: 0.001 s
% 0.08/0.27 % (2786782)Peak memory usage: 12 MB
% 0.08/0.27 % (2786773)Success in time 0.041 s
% 0.08/0.27 % Vampire exiting
%------------------------------------------------------------------------------