TSTP Solution File: SEV288^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV288^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 16:02:38 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 60 equ; 3 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 183 ( 34 ~; 33 |; 0 &; 81 @)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 10 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 52 ( 44 ^ 8 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_12,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK2: a ).
thf(func_def_15,type,
sK3: a ).
thf(func_def_16,type,
sK4: a > $o ).
thf(f65,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f36,f41,f56,f64]) ).
thf(f64,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f63]) ).
thf(f63,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f60,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f40,f57]) ).
thf(f57,plain,
( ( $false
= ( sK4 @ sK2 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f35,f27]) ).
thf(f27,plain,
( ( sK3 = sK2 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f25,plain,
( spl0_1
<=> ( sK3 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f35,plain,
( ( ( sK4 @ sK3 )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f33]) ).
thf(f33,plain,
( spl0_3
<=> ( ( sK4 @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f40,plain,
( ( $true
= ( sK4 @ sK2 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f38]) ).
thf(f38,plain,
( spl0_4
<=> ( $true
= ( sK4 @ sK2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f56,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f43,f29,f25]) ).
thf(f29,plain,
( spl0_2
<=> ! [X1: a > $o] :
( ( ( X1 @ sK2 )
= $false )
| ( $true
= ( X1 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f43,plain,
( ( sK3 = sK2 )
| ~ spl0_2 ),
inference(leibniz_equality_elimination,[],[f30]) ).
thf(f30,plain,
( ! [X1: a > $o] :
( ( $true
= ( X1 @ sK3 ) )
| ( ( X1 @ sK2 )
= $false ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f29]) ).
thf(f41,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f19,f25,f38]) ).
thf(f19,plain,
( ( sK3 != sK2 )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( $false
= ( ( sK4 @ sK2 )
=> ( sK4 @ sK3 ) ) )
| ( sK3 != sK2 ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) )
@ sK4 ) )
| ( sK3 != sK2 ) ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) ) ) )
| ( sK3 != sK2 ) ),
inference(equality_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( sK2 = sK3 )
= $false )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( sK2 = sK3 )
!= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) ) ) ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( ( sK2 = sK3 )
!= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK2 )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) ),
inference(negative_extensionality,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK2 )
=> ( Y1 @ Y0 ) ) ) )
!= ( (=) @ sK2 ) ),
inference(beta_eta_normalization,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) )
@ sK2 )
!= ( (=) @ sK2 ) ),
inference(negative_extensionality,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) ) )
!= (=) ),
inference(beta_eta_normalization,[],[f7]) ).
thf(f7,plain,
( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 ) )
!= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 ) )
!= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 ) )
!= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: a,X1: a] :
! [X2: a > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ) )
!= ( ^ [X3: a,X4: a] : ( X3 = X4 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X0: a,X1: a] :
! [X2: a > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ) )
!= ( ^ [X0: a,X1: a] : ( X0 = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X0: a,X1: a] :
! [X2: a > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ) )
= ( ^ [X0: a,X1: a] : ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cE1_eq__pme) ).
thf(f36,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f18,f25,f33]) ).
thf(f18,plain,
( ( ( sK4 @ sK3 )
= $false )
| ( sK3 != sK2 ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f31,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
thf(f23,plain,
! [X1: a > $o] :
( ( ( X1 @ sK2 )
= $false )
| ( sK3 = sK2 )
| ( $true
= ( X1 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X1: a > $o] :
( ( sK3 = sK2 )
| ( $true
= ( ( X1 @ sK2 )
=> ( X1 @ sK3 ) ) ) ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
! [X1: a > $o] :
( ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) )
@ X1 ) )
| ( sK3 = sK2 ) ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) ) ) )
| ( sK3 = sK2 ) ),
inference(equality_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( $true
= ( sK2 = sK3 ) )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
=> ( Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV288^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jun 21 18:29:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 Running higher-order theorem proving
% 0.14/0.37 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
% 0.14/0.39 % (29184)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (29186)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)
% 0.14/0.39 % (29185)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)
% 0.14/0.39 % (29187)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (29188)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)
% 0.14/0.39 % (29189)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)
% 0.14/0.39 % (29190)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (29188)Refutation not found, incomplete strategy
% 0.14/0.39 % (29188)------------------------------
% 0.14/0.39 % (29188)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.39 % (29188)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (29188)Memory used [KB]: 5500
% 0.14/0.39 % (29188)Time elapsed: 0.004 s
% 0.14/0.39 % (29188)Instructions burned: 1 (million)
% 0.14/0.39 % (29188)------------------------------
% 0.14/0.39 % (29188)------------------------------
% 0.14/0.39 % (29187)Instruction limit reached!
% 0.14/0.39 % (29187)------------------------------
% 0.14/0.39 % (29187)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.39 % (29187)Termination reason: Unknown
% 0.14/0.39 % (29187)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (29187)Memory used [KB]: 5500
% 0.14/0.39 % (29187)Time elapsed: 0.005 s
% 0.14/0.39 % (29187)Instructions burned: 2 (million)
% 0.14/0.39 % (29187)------------------------------
% 0.14/0.39 % (29187)------------------------------
% 0.14/0.39 % (29189)First to succeed.
% 0.14/0.39 % (29186)Refutation not found, incomplete strategy
% 0.14/0.39 % (29186)------------------------------
% 0.14/0.39 % (29186)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.39 % (29186)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (29186)Memory used [KB]: 5500
% 0.14/0.39 % (29186)Time elapsed: 0.005 s
% 0.14/0.39 % (29186)Instructions burned: 2 (million)
% 0.14/0.39 % (29186)------------------------------
% 0.14/0.39 % (29186)------------------------------
% 0.14/0.39 % (29190)Also succeeded, but the first one will report.
% 0.14/0.39 % (29189)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (29189)------------------------------
% 0.14/0.39 % (29189)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.39 % (29189)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (29189)Memory used [KB]: 5500
% 0.14/0.39 % (29189)Time elapsed: 0.006 s
% 0.14/0.39 % (29189)Instructions burned: 2 (million)
% 0.14/0.39 % (29189)------------------------------
% 0.14/0.39 % (29189)------------------------------
% 0.14/0.39 % (29183)Success in time 0.02 s
%------------------------------------------------------------------------------