%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN398+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 02:07:45 PM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 6 unt; 3 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 19 ~; 19 |; 6 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( p
& f(X0) )
<=> ( p
& ! [X1] : f(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish215) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( p
& f(X0) )
<=> ( p
& ! [X1] : f(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
( p
& f(X0) )
<~> ( p
& ! [X1] : f(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f5,plain,
p,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X0,X1] :
( f(X1)
| f(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
( ~ f(sK1)
| ~ f(sK0)
| ~ p ),
inference(cnf_transformation,[],[f3]) ).
fof(f10,definition,
( spl2_1
<=> ! [X0] : f(X0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f11,plain,
( ! [X0] : f(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f12,plain,
( spl2_1
| spl2_1 ),
inference(avatar_split_clause,[],[f6,f10,f10]) ).
fof(f13,plain,
( ~ f(sK1)
| ~ f(sK0) ),
inference(forward_subsumption_resolution,[],[f8,f5]) ).
fof(f15,definition,
( spl2_2
<=> f(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f17,plain,
( ~ f(sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl2_3
<=> f(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f21,plain,
( ~ f(sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f13,f19,f15]) ).
fof(f23,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f17,f11]) ).
fof(f24,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f25,plain,
( $false
| ~ spl2_1
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f21,f11]) ).
fof(f26,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f25]) ).
cnf(s1,plain,
( spl2_1
| spl2_1 ),
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
spl2_1,
inference(rat,[],[s1]) ).
cnf(s3,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f22]) ).
cnf(s4,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s5,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f26]) ).
cnf(s6,plain,
spl2_3,
inference(rat,[],[s5,s2]) ).
cnf(s7,plain,
spl2_2,
inference(rat,[],[s4,s2]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s3,s6,s7]) ).
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN398+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:52:10 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.26 % (2518407)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (2518416)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1419869034:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (2518416) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2518407-2518416"...
% 0.07/0.26 % (2518416)...printing done.
% 0.07/0.26 % (2518413)% WARNING: option uhcvi not known.
% 0.07/0.26 % (2518416)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (2518416)------------------------------
% 0.07/0.26 % (2518416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (2518416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (2518416)CaDiCaL version: 2.1.3
% 0.07/0.26 % (2518416)Termination reason: Refutation
% 0.07/0.26 % (2518416)Time elapsed: 0.001 s
% 0.07/0.26 % (2518416)Peak memory usage: 12 MB
% 0.07/0.26 % (2518407)Success in time 0.038 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------