%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN106-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 1 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f369,negated_conjecture,
~ k1(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f925,definition,
( spl0_140
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f927,plain,
( ~ k1(e)
| spl0_140 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f1569,plain,
~ spl0_140,
inference(avatar_split_clause,[],[f369,f925]) ).
fof(f1622,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f1643,plain,
( $false
| spl0_140 ),
inference(forward_subsumption_resolution,[],[f1622,f927]) ).
fof(f1644,plain,
spl0_140,
inference(avatar_contradiction_clause,[],[f1643]) ).
cnf(s169,plain,
~ spl0_140,
inference(sat_conversion,[],[f1569]) ).
cnf(s201,plain,
spl0_140,
inference(sat_conversion,[],[f1644]) ).
cnf(s202,plain,
$false,
inference(rat,[],[s169,s201]) ).
fof(f1645,plain,
$false,
inference(avatar_sat_refutation,[],[s202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN106-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/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 15:36:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.21/0.27 % (3945765)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (3945773)dis+10_1_sil=32000:sp=arity:random_seed=2272075582:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (3945771)% WARNING: option uhcvi not known.
% 0.21/0.27 % (3945773) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3945765-3945773"...
% 0.21/0.27 % (3945773)...printing done.
% 0.21/0.27 % (3945770)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3057023448_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (3945773)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (3945773)------------------------------
% 0.21/0.27 % (3945773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3945773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3945773)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3945773)Termination reason: Refutation
% 0.21/0.27 % (3945773)Time elapsed: 0.004 s
% 0.21/0.27 % (3945773)Peak memory usage: 13 MB
% 0.21/0.27 % (3945773)Instructions burned: 10 (million)
% 0.21/0.27 % (3945765)Success in time 0.035 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------