%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV388^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 : Wed Sep 30 08:39:26 AM UTC 2026
% Result : Theorem 0.26s 0.34s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 33 ( 6 ~; 0 |; 4 &; 15 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cS: $i > $o ).
thf(func_def_1,type,
cR: $i > $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(f1,conjecture,
( ( cR = cS )
=> ! [X0: $i] :
( ( cR @ X0 )
=> ( cS @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM36_pme) ).
thf(f2,negated_conjecture,
~ ( ( cR = cS )
=> ! [X0: $i] :
( ( cR @ X0 )
=> ( cS @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( cR = cS )
=> ! [X0: $i] :
( ( cR @ X0 )
=> ( cS @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( cR = cS )
=> ! [X0: $i] :
( ( ( cR @ X0 )
= $true )
=> ( ( cS @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ? [X0: $i] :
( ( ( cS @ X0 )
!= $true )
& ( ( cR @ X0 )
= $true ) )
& ( cR = cS ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( $true
!= ( cS @ sK0 ) )
& ( $true
= ( cR @ sK0 ) )
& ( cR = cS ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
thf(f7,plain,
cR = cS,
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( $true
= ( cR @ sK0 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( $true
!= ( cS @ sK0 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
( $true
= ( cS @ sK0 ) ),
inference(definition_unfolding,[],[f8,f7]) ).
thf(f13,plain,
$false,
inference(forward_subsumption_resolution,[],[f12,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV388^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 % Computer : n009.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 15:43:45 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 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
% 0.26/0.34 % (4163350)Will run a generic schedule for satisfiability detection.
% 0.26/0.34 % (4163356)% WARNING: option uhcvi not known.
% 0.26/0.34 % (4163356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2369205485:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.26/0.34 % (4163356)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.34 % (4163356)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.26/0.34 % (4163356) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4163350-4163356"...
% 0.26/0.34 % (4163356)...printing done.
% 0.26/0.34 % (4163356)Refutation found. Thanks to Tanya!
% 0.26/0.34 % SZS status Theorem for theBenchmark
% 0.26/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.34 % (4163356)------------------------------
% 0.26/0.34 % (4163356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.34 % (4163356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.34 % (4163356)CaDiCaL version: 2.1.3
% 0.26/0.34 % (4163356)Termination reason: Refutation
% 0.26/0.34 % (4163356)Time elapsed: 0.001 s
% 0.26/0.34 % (4163356)Peak memory usage: 12 MB
% 0.26/0.34 % (4163350)Success in time 0.023 s
% 0.26/0.34 % Vampire exiting
%------------------------------------------------------------------------------