%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO135^5 : 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 : n005.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 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 8 unt; 0 typ; 4 def)
% Number of atoms : 165 ( 27 equ; 0 cnn)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 114 ( 27 ~; 29 |; 8 &; 42 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cQ: $i > $o ).
thf(func_def_3,type,
cP: $i > $o ).
thf(f1,conjecture,
( ( ( cQ @ x )
| ! [X0: $i] : ( cP @ X0 ) )
=> ( ( cQ @ x )
| ( ( cP @ b )
& ( cP @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUP_BUG) ).
thf(f2,negated_conjecture,
~ ( ( ( cQ @ x )
| ! [X0: $i] : ( cP @ X0 ) )
=> ( ( cQ @ x )
| ( ( cP @ b )
& ( cP @ a ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( cQ @ x )
| ! [X0: $i] : ( cP @ X0 ) )
=> ( ( cQ @ x )
| ( ( cP @ b )
& ( cP @ a ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ( cQ @ x )
= $true )
| ! [X0: $i] :
( ( cP @ X0 )
= $true ) )
=> ( ( ( cQ @ x )
= $true )
| ( ( ( cP @ b )
= $true )
& ( ( cP @ a )
= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cQ @ x )
!= $true )
& ( ( ( cP @ b )
!= $true )
| ( ( cP @ a )
!= $true ) )
& ( ( ( cQ @ x )
= $true )
| ! [X0: $i] :
( ( cP @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( cQ @ x )
!= $true )
& ( ( ( cP @ b )
!= $true )
| ( ( cP @ a )
!= $true ) )
& ( ( ( cQ @ x )
= $true )
| ! [X0: $i] :
( ( cP @ X0 )
= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
! [X0: $i] :
( ( ( cQ @ x )
= $true )
| ( ( cP @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( ( cP @ b )
!= $true )
| ( ( cP @ a )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cQ @ x )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,definition,
( spl0_1
<=> ! [X0: $i] :
( ( cP @ X0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f14,plain,
( ! [X0: $i] :
( ( cP @ X0 )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
thf(f16,definition,
( spl0_2
<=> ( ( cQ @ x )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f19,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f16,f13]) ).
thf(f21,definition,
( spl0_3
<=> ( ( cP @ a )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f23,plain,
( ( ( cP @ a )
!= $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
thf(f25,definition,
( spl0_4
<=> ( ( cP @ b )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f27,plain,
( ( ( cP @ b )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f28,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f8,f25,f21]) ).
thf(f29,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f9,f16]) ).
thf(f30,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f23,f14]) ).
thf(f31,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f30]) ).
thf(f32,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f27,f14]) ).
thf(f33,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f32]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f28]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f29]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f31]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f33]) ).
cnf(s6,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s7,plain,
spl0_4,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
spl0_3,
inference(rat,[],[s4,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s7,s8]) ).
thf(f34,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO135^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n005.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 : Tue Sep 29 16:34:47 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.07/0.25 % (1882913)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (1882923)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2751180727:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.07/0.25 % (1882923) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1882913-1882923"...
% 0.07/0.25 % (1882923)...printing done.
% 0.07/0.25 % (1882923)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (1882923)------------------------------
% 0.07/0.25 % (1882923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (1882923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (1882923)CaDiCaL version: 2.1.3
% 0.07/0.25 % (1882923)Termination reason: Refutation
% 0.07/0.25 % (1882923)Time elapsed: 0.001 s
% 0.07/0.25 % (1882923)Peak memory usage: 12 MB
% 0.07/0.25 % (1882923)Instructions burned: 1 (million)
% 0.07/0.25 % (1882913)Success in time 0.015 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------