%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO136^5 : 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 : n001.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 08:49:01 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 27 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 70 ( 12 ~; 4 |; 12 &; 26 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 5 !; 11 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cQ: $i > $o ).
thf(func_def_2,type,
cB: $o ).
thf(func_def_3,type,
cP: $i > $o ).
thf(f1,conjecture,
( ( ( ? [X0: $i] : ( cP @ X0 )
=> cB )
=> cB )
=> ( ( cQ @ x )
=> ? [X0: $i] : ( cQ @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP3) ).
thf(f2,negated_conjecture,
~ ( ( ( ? [X0: $i] : ( cP @ X0 )
=> cB )
=> cB )
=> ( ( cQ @ x )
=> ? [X0: $i] : ( cQ @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( ? [X0: $i] : ( cP @ X0 )
=> cB )
=> cB )
=> ( ( cQ @ x )
=> ? [X1: $i] : ( cQ @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ? [X0: $i] :
( ( cP @ X0 )
= $true )
=> ( cB = $true ) )
=> ( cB = $true ) )
=> ( ( ( cQ @ x )
= $true )
=> ? [X1: $i] :
( ( cQ @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X1: $i] :
( ( cQ @ X1 )
!= $true )
& ( ( cQ @ x )
= $true )
& ( ( cB = $true )
| ( ( cB != $true )
& ? [X0: $i] :
( ( cP @ X0 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ! [X1: $i] :
( ( cQ @ X1 )
!= $true )
& ( ( cQ @ x )
= $true )
& ( ( cB = $true )
| ( ( cB != $true )
& ? [X0: $i] :
( ( cP @ X0 )
= $true ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ! [X0: $i] :
( ( cQ @ X0 )
!= $true )
& ( ( cQ @ x )
= $true )
& ( ( cB = $true )
| ( ( cB != $true )
& ? [X1: $i] :
( $true
= ( cP @ X1 ) ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ! [X0: $i] :
( ( cQ @ X0 )
!= $true )
& ( ( cQ @ x )
= $true )
& ( ( cB = $true )
| ( ( cB != $true )
& ( $true
= ( cP @ sK0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f7]) ).
thf(f11,plain,
( ( cQ @ x )
= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
! [X0: $i] :
( ( cQ @ X0 )
!= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f24,plain,
$false,
inference(backward_subsumption_resolution,[],[f11,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO136^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:40:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.23 % (1467109)Will run a generic schedule for satisfiability detection.
% 0.08/0.23 % (1467115)% WARNING: option uhcvi not known.
% 0.08/0.23 % (1467115)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2873091711:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.23 % (1467115)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.23 % (1467115)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.23 % (1467115) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1467109-1467115"...
% 0.08/0.23 % (1467115)...printing done.
% 0.08/0.23 % (1467115)Refutation found. Thanks to Tanya!
% 0.08/0.23 % SZS status Theorem for theBenchmark
% 0.08/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.23 % (1467115)------------------------------
% 0.08/0.23 % (1467115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (1467115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (1467115)CaDiCaL version: 2.1.3
% 0.08/0.23 % (1467115)Termination reason: Refutation
% 0.08/0.23 % (1467115)Time elapsed: 0.001 s
% 0.08/0.23 % (1467115)Peak memory usage: 12 MB
% 0.08/0.23 % (1467115)Instructions burned: 1 (million)
% 0.08/0.23 % (1467109)Success in time 0.015 s
% 0.08/0.23 % Vampire exiting
%------------------------------------------------------------------------------