TSTP Solution File: SEV445^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV445^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:03:54 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 73 ( 10 ~; 2 |; 0 &; 60 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 6 ^ 23 !; 4 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/UNIV':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_1,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_7,type,
sK1: sK0 ).
thf(func_def_9,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f27,plain,
$false,
inference(trivial_inequality_removal,[],[f26]) ).
thf(f26,plain,
$false = $true,
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
( $false
= ( ^ [Y0: sK0] : $true
@ sK1 ) ),
inference(trivial_inequality_removal,[],[f22]) ).
thf(f22,plain,
( ( $false
= ( ^ [Y0: sK0] : $true
@ sK1 ) )
| ( $true != $true ) ),
inference(superposition,[],[f16,f18]) ).
thf(f18,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= $true )
| ( $false
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( X1 @ X2 )
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( X1 @ X2 )
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
= ( X2 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_') ).
thf(f16,plain,
( ( 'const/sets/IN' @ sK0 @ sK1
@ ^ [Y0: sK0] : $true )
!= $true ),
inference(definition_unfolding,[],[f14,f13]) ).
thf(f13,plain,
! [X0: $tType] :
( 'const/sets/UNIV'
@ ( X0
= ( ^ [Y0: X0] : $true ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
! [X0: $tType] :
( 'const/sets/UNIV'
@ ( X0
= ( ^ [Y0: X0] : $true ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType] :
( 'const/sets/UNIV'
@ ( X0
= ( ^ [X1: X0] : $true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/UNIV_') ).
thf(f14,plain,
( ( 'const/sets/IN' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( 'const/sets/IN' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 )
!= $true ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).
thf(f11,plain,
( ? [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
!= $true )
=> ( ( 'const/sets/IN' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
!= $true ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
= $true ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_UNIV_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV445^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:02:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH1_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37 % (26933)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.37 % (26933)First to succeed.
% 0.12/0.37 % (26930)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37 % (26933)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (26933)------------------------------
% 0.12/0.37 % (26933)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (26933)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (26933)Memory used [KB]: 5500
% 0.12/0.37 % (26933)Time elapsed: 0.004 s
% 0.12/0.37 % (26933)Instructions burned: 2 (million)
% 0.12/0.37 % (26933)------------------------------
% 0.12/0.37 % (26933)------------------------------
% 0.12/0.37 % (26928)Success in time 0.016 s
%------------------------------------------------------------------------------