%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN343-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 02:07:24 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 3 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 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] :
( f(a,X0)
| f(a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(a,a)
| ~ f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,plain,
! [X0] :
( ~ f(a,X0)
| ~ f(a,a) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f6,plain,
! [X0,X1] :
( f(a,a)
| f(X0,X1) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f8,definition,
( spl0_1
<=> ! [X0,X1] : f(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( ! [X0,X1] : f(X0,X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,definition,
( spl0_2
<=> f(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( ~ f(a,a)
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f13,plain,
( f(a,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f14,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f11,f8]) ).
fof(f20,definition,
( spl0_4
<=> ! [X0] : ~ f(a,X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( ! [X0] : ~ f(a,X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f22,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f4,f20,f11]) ).
fof(f23,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(backward_subsumption_resolution,[],[f13,f21]) ).
fof(f24,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f27,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f12,f9]) ).
fof(f28,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s8,plain,
~ spl0_1,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s7,s8]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN343-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n003.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:48:57 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.19/0.28 % (1716467)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (1716473)% WARNING: option uhcvi not known.
% 0.19/0.28 % (1716473)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2154974604:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (1716473) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1716467-1716473"...
% 0.19/0.28 % (1716473)...printing done.
% 0.19/0.28 % (1716473)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (1716473)------------------------------
% 0.19/0.28 % (1716473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (1716473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (1716473)CaDiCaL version: 2.1.3
% 0.19/0.28 % (1716473)Termination reason: Refutation
% 0.19/0.28 % (1716473)Time elapsed: 0.001 s
% 0.19/0.28 % (1716473)Peak memory usage: 12 MB
% 0.19/0.28 % (1716467)Success in time 0.034 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------