%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN031-1 : 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 : n019.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 02:06:27 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 2 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( g(f(X0),X0)
| g(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,axiom,
! [X0] :
( g(X0,f(X0))
| g(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ g(X0,X1)
| ~ g(X1,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
fof(f6,plain,
~ g(a,a),
inference(factoring,[],[f5]) ).
fof(f8,plain,
! [X0] :
( g(a,a)
| ~ g(X0,f(a)) ),
inference(resolution,[],[f1,f5]) ).
fof(f10,definition,
( spl0_1
<=> ! [X0] : ~ g(X0,f(a)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( ! [X0] : ~ g(X0,f(a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,definition,
( spl0_2
<=> g(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( g(a,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f13,f10]) ).
fof(f17,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f15,f6]) ).
fof(f19,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f26,plain,
( g(a,a)
| ~ spl0_1 ),
inference(resolution,[],[f2,f11]) ).
fof(f27,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f26,f10,f13]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s4,plain,
~ spl0_1,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f28,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n019.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 15:20:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.07/0.26 % (4086144)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (4086155)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1657460495:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (4086155) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4086144-4086155"...
% 0.07/0.26 % (4086155)...printing done.
% 0.07/0.26 % (4086155)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (4086155)------------------------------
% 0.07/0.26 % (4086155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (4086155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (4086155)CaDiCaL version: 2.1.3
% 0.07/0.26 % (4086155)Termination reason: Refutation
% 0.07/0.26 % (4086155)Time elapsed: 0.001 s
% 0.07/0.26 % (4086155)Peak memory usage: 12 MB
% 0.07/0.26 % (4086155)Instructions burned: 1 (million)
% 0.07/0.26 % (4086144)Success in time 0.029 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------