%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:07:16 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 5 unt; 5 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 29 ~; 24 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ f(X0)
| p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ p(a)
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ f(y(X0))
| ~ p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0] :
( p(a)
| f(y(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f6,definition,
( spl0_1
<=> ! [X0] : f(y(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( ! [X0] : f(y(X0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f9,definition,
( spl0_2
<=> p(a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f9,f6]) ).
fof(f14,definition,
( spl0_3
<=> ! [X0] : ~ f(y(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( ! [X0] : ~ f(y(X0))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f16,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f3,f14,f9]) ).
fof(f18,definition,
( spl0_4
<=> ! [X0] : f(X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f19,plain,
( ! [X0] : f(X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2,f9,f18]) ).
fof(f22,definition,
( spl0_5
<=> ! [X0] : ~ f(X0) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f23,plain,
( ! [X0] : ~ f(X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f24,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f1,f22,f9]) ).
fof(f25,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f15,f19]) ).
fof(f26,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f27,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f7,f23]) ).
fof(f28,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f24]) ).
cnf(s5,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f26]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f28]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s5,s2,s3]) ).
cnf(s8,plain,
spl0_5,
inference(rat,[],[s4,s7]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s1,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s8,s9]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.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 15:44:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 % (3962550)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3962560)dis+10_1_sil=32000:sp=arity:random_seed=2480263166:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.25 % (3962560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3962550-3962560"...
% 0.08/0.25 % (3962560)...printing done.
% 0.08/0.25 % (3962558)% WARNING: option uhcvi not known.
% 0.08/0.25 % (3962560)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3962560)------------------------------
% 0.08/0.25 % (3962560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3962560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3962560)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3962560)Termination reason: Refutation
% 0.08/0.25 % (3962560)Time elapsed: 0.001 s
% 0.08/0.25 % (3962560)Peak memory usage: 11 MB
% 0.08/0.25 % (3962550)Success in time 0.018 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------