TSTP Solution File: SEV397^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.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 16:03:42 EDT 2024
% Result : Theorem 0.11s 0.37s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 359 ( 109 equ; 0 cnn)
% Maximal formula atoms : 28 ( 14 avg)
% Number of connectives : 297 ( 51 ~; 67 |; 40 &; 130 @)
% ( 7 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 4 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cZ: a > $o ).
thf(func_def_2,type,
cY: a > $o ).
thf(func_def_3,type,
cX: a > $o ).
thf(func_def_5,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_8,type,
sK0: a ).
thf(f58,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f51,f56,f57]) ).
thf(f57,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f23,f35]) ).
thf(f35,plain,
( spl1_1
<=> ( $true
= ( cZ @ sK0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f23,plain,
( $true
!= ( cZ @ sK0 ) ),
inference(duplicate_literal_removal,[],[f21]) ).
thf(f21,plain,
( ( $true
!= ( cZ @ sK0 ) )
| ( $true
!= ( cZ @ sK0 ) )
| ( $true
!= ( cZ @ sK0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( ( ( $true
!= ( cZ @ sK0 ) )
& ( ( $true
!= ( cX @ sK0 ) )
| ( $true
!= ( cY @ sK0 ) ) ) )
| ( ( $true
!= ( cZ @ sK0 ) )
& ( $true
!= ( cX @ sK0 ) ) )
| ( ( $true
!= ( cY @ sK0 ) )
& ( $true
!= ( cZ @ sK0 ) ) ) )
& ( ( $true
= ( cZ @ sK0 ) )
| ( ( $true
= ( cX @ sK0 ) )
& ( $true
= ( cY @ sK0 ) ) )
| ( ( ( $true
= ( cZ @ sK0 ) )
| ( $true
= ( cX @ sK0 ) ) )
& ( ( $true
= ( cY @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: a] :
( ( ( ( ( cZ @ X0 )
!= $true )
& ( ( ( cX @ X0 )
!= $true )
| ( ( cY @ X0 )
!= $true ) ) )
| ( ( ( cZ @ X0 )
!= $true )
& ( ( cX @ X0 )
!= $true ) )
| ( ( ( cY @ X0 )
!= $true )
& ( ( cZ @ X0 )
!= $true ) ) )
& ( ( ( cZ @ X0 )
= $true )
| ( ( ( cX @ X0 )
= $true )
& ( ( cY @ X0 )
= $true ) )
| ( ( ( ( cZ @ X0 )
= $true )
| ( ( cX @ X0 )
= $true ) )
& ( ( ( cY @ X0 )
= $true )
| ( ( cZ @ X0 )
= $true ) ) ) ) )
=> ( ( ( ( $true
!= ( cZ @ sK0 ) )
& ( ( $true
!= ( cX @ sK0 ) )
| ( $true
!= ( cY @ sK0 ) ) ) )
| ( ( $true
!= ( cZ @ sK0 ) )
& ( $true
!= ( cX @ sK0 ) ) )
| ( ( $true
!= ( cY @ sK0 ) )
& ( $true
!= ( cZ @ sK0 ) ) ) )
& ( ( $true
= ( cZ @ sK0 ) )
| ( ( $true
= ( cX @ sK0 ) )
& ( $true
= ( cY @ sK0 ) ) )
| ( ( ( $true
= ( cZ @ sK0 ) )
| ( $true
= ( cX @ sK0 ) ) )
& ( ( $true
= ( cY @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a] :
( ( ( ( ( cZ @ X0 )
!= $true )
& ( ( ( cX @ X0 )
!= $true )
| ( ( cY @ X0 )
!= $true ) ) )
| ( ( ( cZ @ X0 )
!= $true )
& ( ( cX @ X0 )
!= $true ) )
| ( ( ( cY @ X0 )
!= $true )
& ( ( cZ @ X0 )
!= $true ) ) )
& ( ( ( cZ @ X0 )
= $true )
| ( ( ( cX @ X0 )
= $true )
& ( ( cY @ X0 )
= $true ) )
| ( ( ( ( cZ @ X0 )
= $true )
| ( ( cX @ X0 )
= $true ) )
& ( ( ( cY @ X0 )
= $true )
| ( ( cZ @ X0 )
= $true ) ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a] :
( ( ( ( ( cZ @ X0 )
!= $true )
& ( ( ( cX @ X0 )
!= $true )
| ( ( cY @ X0 )
!= $true ) ) )
| ( ( ( cZ @ X0 )
!= $true )
& ( ( cX @ X0 )
!= $true ) )
| ( ( ( cY @ X0 )
!= $true )
& ( ( cZ @ X0 )
!= $true ) ) )
& ( ( ( cZ @ X0 )
= $true )
| ( ( ( cX @ X0 )
= $true )
& ( ( cY @ X0 )
= $true ) )
| ( ( ( ( cZ @ X0 )
= $true )
| ( ( cX @ X0 )
= $true ) )
& ( ( ( cY @ X0 )
= $true )
| ( ( cZ @ X0 )
= $true ) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
thf(f6,plain,
? [X0: a] :
( ( ( ( ( cZ @ X0 )
= $true )
| ( ( cX @ X0 )
= $true ) )
& ( ( ( cY @ X0 )
= $true )
| ( ( cZ @ X0 )
= $true ) ) )
<~> ( ( ( cZ @ X0 )
= $true )
| ( ( ( cX @ X0 )
= $true )
& ( ( cY @ X0 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a] :
( ( ( ( cZ @ X0 )
= $true )
| ( ( ( cX @ X0 )
= $true )
& ( ( cY @ X0 )
= $true ) ) )
<=> ( ( ( ( cZ @ X0 )
= $true )
| ( ( cX @ X0 )
= $true ) )
& ( ( ( cY @ X0 )
= $true )
| ( ( cZ @ X0 )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a] :
( ( ( ( cZ @ X0 )
| ( cY @ X0 ) )
& ( ( cX @ X0 )
| ( cZ @ X0 ) ) )
<=> ( ( ( cX @ X0 )
& ( cY @ X0 ) )
| ( cZ @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a] :
( ( ( ( cZ @ X0 )
| ( cY @ X0 ) )
& ( ( cX @ X0 )
| ( cZ @ X0 ) ) )
<=> ( ( ( cX @ X0 )
& ( cY @ X0 ) )
| ( cZ @ X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a] :
( ( ( ( cZ @ X0 )
| ( cY @ X0 ) )
& ( ( cX @ X0 )
| ( cZ @ X0 ) ) )
<=> ( ( ( cX @ X0 )
& ( cY @ X0 ) )
| ( cZ @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM59_pme) ).
thf(f56,plain,
( ~ spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f24,f39,f44]) ).
thf(f44,plain,
( spl1_3
<=> ( $true
= ( cY @ sK0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
thf(f39,plain,
( spl1_2
<=> ( $true
= ( cX @ sK0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
thf(f24,plain,
( ( $true
!= ( cX @ sK0 ) )
| ( $true
!= ( cY @ sK0 ) ) ),
inference(duplicate_literal_removal,[],[f16]) ).
thf(f16,plain,
( ( $true
!= ( cY @ sK0 ) )
| ( $true
!= ( cX @ sK0 ) )
| ( $true
!= ( cY @ sK0 ) )
| ( $true
!= ( cX @ sK0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f51,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f28,f39,f35]) ).
thf(f28,plain,
( ( $true
= ( cZ @ sK0 ) )
| ( $true
= ( cX @ sK0 ) ) ),
inference(duplicate_literal_removal,[],[f14]) ).
thf(f14,plain,
( ( $true
= ( cX @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) )
| ( $true
= ( cX @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f48,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f31,f44,f35]) ).
thf(f31,plain,
( ( $true
= ( cY @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) ) ),
inference(duplicate_literal_removal,[],[f11]) ).
thf(f11,plain,
( ( $true
= ( cY @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) )
| ( $true
= ( cZ @ sK0 ) )
| ( $true
= ( cY @ sK0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 18:41:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.11/0.35 Running higher-order theorem proving
% 0.11/0.35 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
% 0.11/0.37 % (22529)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 (3000ds/27Mi)
% 0.11/0.37 % (22530)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.37 % (22531)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.37 % (22527)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.11/0.37 % (22532)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.11/0.37 % (22533)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.11/0.37 % (22528)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.11/0.37 % (22529)First to succeed.
% 0.11/0.37 % (22531)Refutation not found, incomplete strategy
% 0.11/0.37 % (22531)------------------------------
% 0.11/0.37 % (22531)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (22531)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.37
% 0.11/0.37
% 0.11/0.37 % (22531)Memory used [KB]: 5500
% 0.11/0.37 % (22531)Time elapsed: 0.004 s
% 0.11/0.37 % (22531)Instructions burned: 1 (million)
% 0.11/0.37 % (22531)------------------------------
% 0.11/0.37 % (22531)------------------------------
% 0.11/0.37 % (22530)Instruction limit reached!
% 0.11/0.37 % (22530)------------------------------
% 0.11/0.37 % (22530)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (22530)Termination reason: Unknown
% 0.11/0.37 % (22530)Termination phase: Saturation
% 0.11/0.37
% 0.11/0.37 % (22530)Memory used [KB]: 5500
% 0.11/0.37 % (22530)Time elapsed: 0.005 s
% 0.11/0.37 % (22530)Instructions burned: 2 (million)
% 0.11/0.37 % (22530)------------------------------
% 0.11/0.37 % (22530)------------------------------
% 0.11/0.37 % (22532)Also succeeded, but the first one will report.
% 0.11/0.37 % (22529)Refutation found. Thanks to Tanya!
% 0.11/0.37 % SZS status Theorem for theBenchmark
% 0.11/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.37 % (22529)------------------------------
% 0.11/0.37 % (22529)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (22529)Termination reason: Refutation
% 0.11/0.37
% 0.11/0.37 % (22529)Memory used [KB]: 5500
% 0.11/0.37 % (22529)Time elapsed: 0.005 s
% 0.11/0.37 % (22529)Instructions burned: 2 (million)
% 0.11/0.37 % (22529)------------------------------
% 0.11/0.37 % (22529)------------------------------
% 0.11/0.37 % (22526)Success in time 0.018 s
%------------------------------------------------------------------------------