TSTP Solution File: SEV081^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV081^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.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 16:01:44 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 122 ( 43 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 205 ( 29 ~; 14 |; 24 &; 132 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 110 ( 110 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 14 ^ 35 !; 28 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_4,type,
sK1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_5,type,
sK2: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_6,type,
sK3: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_9,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f23,plain,
$false,
inference(trivial_inequality_removal,[],[f22]) ).
thf(f22,plain,
$true != $true,
inference(duplicate_literal_removal,[],[f21]) ).
thf(f21,plain,
( ( $true != $true )
| ( $true != $true )
| ( $true != $true ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
! [X4: $i > $o,X5: $i > $o] :
( ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : $true
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : $true )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : $true ) ) )
| ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : $true
@ X5
@ X4 ) )
| ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : $true
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : $true )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : $true ) ) ) ),
inference(primitive_instantiation,[],[f12]) ).
thf(f12,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o,X4: $i > $o,X5: $i > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( $true
!= ( X0 @ X5 @ X4 ) )
| ( ( X0 @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( X0 @ ( sK2 @ X0 ) @ ( sK0 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ! [X4: $i > $o,X5: $i > $o] :
( $true
!= ( X0 @ X5 @ X4 ) )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f10,f9]) ).
thf(f9,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( $true
= ( X0 @ X3 @ X1 ) )
& ( ( X0 @ X2 @ X3 )
= $true )
& ( $true
!= ( X0 @ X2 @ X1 ) ) )
=> ( ( ( X0 @ ( sK2 @ X0 ) @ ( sK0 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X6: $i > $o] :
( ( X0 @ X6 @ X6 )
!= $true )
=> ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( $true
= ( X0 @ X3 @ X1 ) )
& ( ( X0 @ X2 @ X3 )
= $true )
& ( $true
!= ( X0 @ X2 @ X1 ) ) )
| ! [X4: $i > $o,X5: $i > $o] :
( $true
!= ( X0 @ X5 @ X4 ) )
| ? [X6: $i > $o] :
( ( X0 @ X6 @ X6 )
!= $true ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X5: $i > $o,X6: $i > $o,X4: $i > $o] :
( ( ( X0 @ X4 @ X5 )
= $true )
& ( ( X0 @ X6 @ X4 )
= $true )
& ( ( X0 @ X6 @ X5 )
!= $true ) )
| ! [X3: $i > $o,X2: $i > $o] :
( ( X0 @ X2 @ X3 )
!= $true )
| ? [X1: $i > $o] :
( $true
!= ( X0 @ X1 @ X1 ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o] :
( $true
!= ( X0 @ X1 @ X1 ) )
| ! [X3: $i > $o,X2: $i > $o] :
( ( X0 @ X2 @ X3 )
!= $true )
| ? [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( X0 @ X6 @ X5 )
!= $true )
& ( ( X0 @ X6 @ X4 )
= $true )
& ( ( X0 @ X4 @ X5 )
= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( $true
= ( X0 @ X1 @ X1 ) )
& ? [X2: $i > $o,X3: $i > $o] :
( ( X0 @ X2 @ X3 )
= $true )
& ! [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( ( X0 @ X6 @ X4 )
= $true )
& ( ( X0 @ X4 @ X5 )
= $true ) )
=> ( ( X0 @ X6 @ X5 )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ? [X2: $i > $o,X3: $i > $o] : ( X0 @ X2 @ X3 )
& ! [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( X0 @ X6 @ X4 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X6 @ X5 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X3: $i > $o] : ( X0 @ X3 @ X3 )
& ? [X1: $i > $o,X2: $i > $o] : ( X0 @ X1 @ X2 )
& ! [X4: $i > $o,X5: $i > $o,X3: $i > $o] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X3 @ X5 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X3: $i > $o] : ( X0 @ X3 @ X3 )
& ? [X1: $i > $o,X2: $i > $o] : ( X0 @ X1 @ X2 )
& ! [X4: $i > $o,X5: $i > $o,X3: $i > $o] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X3 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120_1_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV081^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n029.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 18:41:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_NEQ_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 % (23210)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 % (23211)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (23213)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 (2999ds/275Mi)
% 0.12/0.37 % (23209)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 (2999ds/4Mi)
% 0.12/0.37 % (23212)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 (2999ds/2Mi)
% 0.12/0.37 % (23208)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 % (23214)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37 % (23211)Instruction limit reached!
% 0.12/0.37 % (23211)------------------------------
% 0.12/0.37 % (23211)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (23211)Termination reason: Unknown
% 0.12/0.37 % (23211)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (23212)Instruction limit reached!
% 0.12/0.37 % (23212)------------------------------
% 0.12/0.37 % (23212)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (23212)Termination reason: Unknown
% 0.12/0.37 % (23212)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (23212)Memory used [KB]: 5500
% 0.12/0.37 % (23212)Time elapsed: 0.004 s
% 0.12/0.37 % (23212)Instructions burned: 2 (million)
% 0.12/0.37 % (23212)------------------------------
% 0.12/0.37 % (23212)------------------------------
% 0.12/0.37 % (23211)Memory used [KB]: 5500
% 0.12/0.37 % (23211)Time elapsed: 0.004 s
% 0.12/0.37 % (23211)Instructions burned: 2 (million)
% 0.12/0.37 % (23211)------------------------------
% 0.12/0.37 % (23211)------------------------------
% 0.12/0.37 % (23210)Refutation not found, incomplete strategy
% 0.12/0.37 % (23210)------------------------------
% 0.12/0.37 % (23210)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (23210)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (23208)First to succeed.
% 0.12/0.37 % (23210)Memory used [KB]: 5500
% 0.12/0.37 % (23210)Time elapsed: 0.004 s
% 0.12/0.37 % (23210)Instructions burned: 2 (million)
% 0.12/0.37 % (23210)------------------------------
% 0.12/0.37 % (23210)------------------------------
% 0.12/0.37 % (23209)Also succeeded, but the first one will report.
% 0.12/0.38 % (23208)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38 % (23208)------------------------------
% 0.12/0.38 % (23208)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (23208)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (23208)Memory used [KB]: 5500
% 0.12/0.38 % (23208)Time elapsed: 0.005 s
% 0.12/0.38 % (23208)Instructions burned: 1 (million)
% 0.12/0.38 % (23208)------------------------------
% 0.12/0.38 % (23208)------------------------------
% 0.12/0.38 % (23207)Success in time 0.009 s
%------------------------------------------------------------------------------