%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN052-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:06:34 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 5 unt; 4 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 33 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( p
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( big_f(X0)
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0] :
( big_f(X0)
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( ~ p
| ~ big_f(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] :
( big_f(X0)
| ~ big_f(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,plain,
! [X0] :
( p
| big_f(X0) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f7,plain,
! [X0] :
( ~ big_f(X0)
| ~ p ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f8,plain,
! [X0] :
( ~ big_f(X0)
| p ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f9,plain,
( ~ p
| big_f(a) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f10,plain,
! [X0] :
( ~ big_f(X0)
| big_f(a) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f12,definition,
( spl0_1
<=> big_f(a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f14,plain,
( big_f(a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl0_2
<=> ! [X0] : ~ big_f(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ! [X0] : ~ big_f(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f16,f12]) ).
fof(f20,definition,
( spl0_3
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f23,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9,f20,f12]) ).
fof(f24,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f16,f20]) ).
fof(f25,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f16,f20]) ).
fof(f27,definition,
( spl0_4
<=> ! [X0] : big_f(X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f28,plain,
( ! [X0] : big_f(X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f29,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f20,f27]) ).
fof(f30,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f28,f17]) ).
fof(f31,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f32,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f14,f17]) ).
fof(f33,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f32]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f23]) ).
cnf(s3,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f24]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f25]) ).
cnf(s5,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f29]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f31]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f33]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s6,s5,s1,s2]) ).
cnf(s9,plain,
~ spl0_2,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
~ spl0_3,
inference(rat,[],[s4,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s3,s10,s9]) ).
fof(f34,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:26:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (4050367)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (4050373)% WARNING: option uhcvi not known.
% 0.08/0.26 % (4050373)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=116279135:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (4050373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4050367-4050373"...
% 0.08/0.26 % (4050373)...printing done.
% 0.08/0.26 % (4050373)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (4050373)------------------------------
% 0.08/0.26 % (4050373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (4050373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (4050373)CaDiCaL version: 2.1.3
% 0.08/0.26 % (4050373)Termination reason: Refutation
% 0.08/0.26 % (4050373)Time elapsed: 0.001 s
% 0.08/0.26 % (4050373)Peak memory usage: 12 MB
% 0.08/0.26 % (4050367)Success in time 0.036 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------