TSTP Solution File: SEV394^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV394^5 : TPTP v8.2.0. Released v4.0.0.
% 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 16:03:42 EDT 2024
% Result : Theorem 0.06s 0.28s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 198 ( 77 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 230 ( 44 ~; 18 |; 43 &; 105 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 26 ^ 40 !; 14 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_8,type,
sK0: a > $o ).
thf(func_def_9,type,
sK1: a > $o ).
thf(func_def_10,type,
sK2: a > $o ).
thf(func_def_11,type,
sK3: a ).
thf(func_def_13,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f28,plain,
$false,
inference(trivial_inequality_removal,[],[f27]) ).
thf(f27,plain,
$true = $false,
inference(superposition,[],[f19,f25]) ).
thf(f25,plain,
( $false
= ( sK1 @ sK3 ) ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
( ( $false
= ( sK1 @ sK3 ) )
| ( $true != $true ) ),
inference(superposition,[],[f14,f23]) ).
thf(f23,plain,
! [X1: a] :
( ( $true
= ( sK2 @ X1 ) )
| ( ( sK1 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X1: a] :
( ( ( ~ ( sK2 @ X1 ) )
= $false )
| ( ( sK1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X1: a] :
( ( ~ ( sK2 @ X1 )
& ( sK1 @ X1 ) )
= $false ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) )
@ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) ),
inference(argument_congruence,[],[f16]) ).
thf(f16,plain,
( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( $true
= ( sK2 @ X3 ) )
| ( $true
= ( sK1 @ X3 ) )
| ( $true
!= ( sK0 @ X3 ) ) )
& ( $true
!= ( sK2 @ sK3 ) )
& ( $true
= ( sK0 @ sK3 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ? [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
& ( ( X0 @ X4 )
= $true ) ) )
=> ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( $true
= ( sK2 @ X3 ) )
| ( $true
= ( sK1 @ X3 ) )
| ( $true
!= ( sK0 @ X3 ) ) )
& ? [X4: a] :
( ( $true
!= ( sK2 @ X4 ) )
& ( $true
= ( sK0 @ X4 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X4: a] :
( ( $true
!= ( sK2 @ X4 ) )
& ( $true
= ( sK0 @ X4 ) ) )
=> ( ( $true
!= ( sK2 @ sK3 ) )
& ( $true
= ( sK0 @ sK3 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ? [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
& ( ( X0 @ X4 )
= $true ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
& ( ( X0 @ X4 )
= $true ) )
& ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true )
| ( ( X1 @ X3 )
= $true ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( ( ( X0 @ X3 )
= $true )
& ( ( X1 @ X3 )
!= $true ) )
=> ( ( X2 @ X3 )
= $true ) ) )
=> ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ( $true
= ( X2 @ X4 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
& ! [X3: a] :
( ( ( ( X0 @ X3 )
= $true )
& ( ( X1 @ X3 )
!= $true ) )
=> ( ( X2 @ X3 )
= $true ) ) )
=> ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ( $true
= ( X2 @ X4 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
& ! [X5: a] :
( ( ( $true
= ( X0 @ X5 ) )
& ( $true
!= ( X1 @ X5 ) ) )
=> ( ( X2 @ X5 )
= $true ) ) )
=> ! [X6: a] :
( ( ( X0 @ X6 )
= $true )
=> ( $true
= ( X2 @ X6 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [X3: a] :
( ( X1 @ X3 )
& ~ ( X2 @ X3 ) ) )
= ( ^ [X4: a] : $false ) )
& ! [X5: a] :
( ( ( X0 @ X5 )
& ~ ( X1 @ X5 ) )
=> ( X2 @ X5 ) ) )
=> ! [X6: a] :
( ( X0 @ X6 )
=> ( X2 @ X6 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ( ( ^ [X3: a] :
( ( X2 @ X3 )
& ~ ( X1 @ X3 ) ) )
= ( ^ [X3: a] : $false ) )
& ! [X3: a] :
( ( ( X0 @ X3 )
& ~ ( X2 @ X3 ) )
=> ( X1 @ X3 ) ) )
=> ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ( ( ^ [X3: a] :
( ( X2 @ X3 )
& ~ ( X1 @ X3 ) ) )
= ( ^ [X3: a] : $false ) )
& ! [X3: a] :
( ( ( X0 @ X3 )
& ~ ( X2 @ X3 ) )
=> ( X1 @ X3 ) ) )
=> ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM269_pme) ).
thf(f14,plain,
( $true
!= ( sK2 @ sK3 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f19,plain,
( $true
= ( sK1 @ sK3 ) ),
inference(subsumption_resolution,[],[f18,f13]) ).
thf(f13,plain,
( $true
= ( sK0 @ sK3 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f18,plain,
( ( $true
!= ( sK0 @ sK3 ) )
| ( $true
= ( sK1 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f17]) ).
thf(f17,plain,
( ( $true
= ( sK1 @ sK3 ) )
| ( $true != $true )
| ( $true
!= ( sK0 @ sK3 ) ) ),
inference(superposition,[],[f14,f15]) ).
thf(f15,plain,
! [X3: a] :
( ( $true
= ( sK2 @ X3 ) )
| ( $true
!= ( sK0 @ X3 ) )
| ( $true
= ( sK1 @ X3 ) ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : SEV394^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.07 % Command : run_vampire %s %d THM
% 0.06/0.25 % Computer : n022.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Fri Jun 21 19:01:23 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 This is a TH0_THM_EQU_NAR problem
% 0.06/0.26 Running higher-order theorem proving
% 0.06/0.26 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.06/0.28 % (23319)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.06/0.28 % (23323)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)
% 0.06/0.28 % (23324)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)
% 0.06/0.28 % (23322)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.06/0.28 % (23325)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.06/0.28 % (23320)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)
% 0.06/0.28 % (23321)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)
% 0.06/0.28 % (23322)Instruction limit reached!
% 0.06/0.28 % (23322)------------------------------
% 0.06/0.28 % (23322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.06/0.28 % (23322)Termination reason: Unknown
% 0.06/0.28 % (23322)Termination phase: Saturation
% 0.06/0.28
% 0.06/0.28 % (23322)Memory used [KB]: 5500
% 0.06/0.28 % (23322)Time elapsed: 0.003 s
% 0.06/0.28 % (23322)Instructions burned: 2 (million)
% 0.06/0.28 % (23322)------------------------------
% 0.06/0.28 % (23322)------------------------------
% 0.06/0.28 % (23323)Instruction limit reached!
% 0.06/0.28 % (23323)------------------------------
% 0.06/0.28 % (23323)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.06/0.28 % (23323)Termination reason: Unknown
% 0.06/0.28 % (23323)Termination phase: Saturation
% 0.06/0.28
% 0.06/0.28 % (23323)Memory used [KB]: 5500
% 0.06/0.28 % (23323)Time elapsed: 0.003 s
% 0.06/0.28 % (23323)Instructions burned: 3 (million)
% 0.06/0.28 % (23323)------------------------------
% 0.06/0.28 % (23323)------------------------------
% 0.06/0.28 % (23319)First to succeed.
% 0.06/0.28 % (23324)Also succeeded, but the first one will report.
% 0.06/0.28 % (23319)Refutation found. Thanks to Tanya!
% 0.06/0.28 % SZS status Theorem for theBenchmark
% 0.06/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.28 % (23319)------------------------------
% 0.06/0.28 % (23319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.06/0.28 % (23319)Termination reason: Refutation
% 0.06/0.28
% 0.06/0.28 % (23319)Memory used [KB]: 5500
% 0.06/0.28 % (23319)Time elapsed: 0.004 s
% 0.06/0.28 % (23319)Instructions burned: 2 (million)
% 0.06/0.28 % (23319)------------------------------
% 0.06/0.28 % (23319)------------------------------
% 0.06/0.28 % (23317)Success in time 0.011 s
%------------------------------------------------------------------------------