%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX089_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 01:46:28 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 0 typ; 4 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 25 ~; 22 |; 6 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_8,type,
sK0: general > $int ).
tff(func_def_9,type,
sK1: general > symbol ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(f17,axiom,
( hp
=> tp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1_transition_axiom_1) ).
tff(f18,axiom,
( ( hp
=> hq )
& ( tp
=> tq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(f19,conjecture,
( ( hp
=> hq )
& ( tp
=> tq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).
tff(f20,negated_conjecture,
~ ( ( hp
=> hq )
& ( tp
=> tq ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f45,plain,
( tp
| ~ hp ),
inference(ennf_transformation,[],[f17]) ).
tff(f46,plain,
( ( hq
| ~ hp )
& ( tq
| ~ tp ) ),
inference(ennf_transformation,[],[f18]) ).
tff(f47,plain,
( ( ~ hq
& hp )
| ( ~ tq
& tp ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f71,plain,
( tp
| ~ hp ),
inference(cnf_transformation,[],[f45]) ).
tff(f72,plain,
( tq
| ~ tp ),
inference(cnf_transformation,[],[f46]) ).
tff(f73,plain,
( hq
| ~ hp ),
inference(cnf_transformation,[],[f46]) ).
tff(f74,plain,
( hp
| tp ),
inference(cnf_transformation,[],[f47]) ).
tff(f75,plain,
( hp
| ~ tq ),
inference(cnf_transformation,[],[f47]) ).
tff(f77,plain,
( ~ hq
| ~ tq ),
inference(cnf_transformation,[],[f47]) ).
tff(f79,definition,
( spl2_1
<=> tp ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f83,definition,
( spl2_2
<=> hp ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f86,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f74,f83,f79]) ).
tff(f88,definition,
( spl2_3
<=> tq ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f91,plain,
( ~ spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f75,f83,f88]) ).
tff(f93,definition,
( spl2_4
<=> hq ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
tff(f97,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f77,f93,f88]) ).
tff(f98,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f72,f88,f79]) ).
tff(f99,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f73,f93,f83]) ).
tff(f100,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f71,f79,f83]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f86]) ).
cnf(s2,plain,
( spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f91]) ).
cnf(s4,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f98]) ).
cnf(s6,plain,
( ~ spl2_2
| spl2_4 ),
inference(sat_conversion,[],[f99]) ).
cnf(s7,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f100]) ).
cnf(s9,plain,
spl2_1,
inference(rat,[],[s1,s7]) ).
cnf(s10,plain,
spl2_3,
inference(rat,[],[s5,s9]) ).
cnf(s11,plain,
~ spl2_4,
inference(rat,[],[s4,s10]) ).
cnf(s12,plain,
spl2_2,
inference(rat,[],[s2,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s6,s11,s12]) ).
tff(f102,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX089_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 14:58:25 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.24 % (2475277)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (2475287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2749668979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % (2475287) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2475277-2475287"...
% 0.09/0.24 % (2475287)...printing done.
% 0.09/0.24 % (2475287)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (2475287)------------------------------
% 0.09/0.24 % (2475287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (2475287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (2475287)CaDiCaL version: 2.1.3
% 0.09/0.24 % (2475287)Termination reason: Refutation
% 0.09/0.24 % (2475287)Time elapsed: 0.001 s
% 0.09/0.24 % (2475287)Peak memory usage: 12 MB
% 0.09/0.24 % (2475287)Instructions burned: 2 (million)
% 0.09/0.24 % (2475277)Success in time 0.024 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------