TSTP Solution File: SEV225^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV225^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 16:02:21 EDT 2024
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 29 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 75 ( 14 ~; 0 |; 10 &; 43 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 6 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 15 ( 4 ^ 9 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
r: $tType ).
thf(func_def_0,type,
r: $tType ).
thf(func_def_1,type,
c0: r ).
thf(func_def_2,type,
less: r > r > $o ).
thf(func_def_11,type,
sK0: r ).
thf(f22,plain,
$false,
inference(trivial_inequality_removal,[],[f21]) ).
thf(f21,plain,
$false = $true,
inference(backward_demodulation,[],[f16,f20]) ).
thf(f20,plain,
! [X1: r] :
( $false
= ( less @ X1 @ X1 ) ),
inference(not_proxy_clausification,[],[f19]) ).
thf(f19,plain,
! [X1: r] :
( $true
= ( ~ ( less @ X1 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
! [X1: r] :
( ( ^ [Y0: r] :
~ ( less @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f17]) ).
thf(f17,plain,
( ( !! @ r
@ ^ [Y0: r] :
~ ( less @ Y0 @ Y0 ) )
= $true ),
inference(definition_unfolding,[],[f13,f12]) ).
thf(f12,plain,
( cIRREFLEXIVE_LAW
= ( !! @ r
@ ^ [Y0: r] :
~ ( less @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( cIRREFLEXIVE_LAW
= ( !! @ r
@ ^ [Y0: r] :
~ ( less @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
( cIRREFLEXIVE_LAW
= ( ! [X0: r] :
~ ( less @ X0 @ X0 ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( cIRREFLEXIVE_LAW
= ( ! [X0: r] :
~ ( less @ X0 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cIRREFLEXIVE_LAW_def) ).
thf(f13,plain,
cIRREFLEXIVE_LAW = $true,
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ( ( less @ sK0 @ c0 )
= $true )
& ( c0 = sK0 )
& ( cIRREFLEXIVE_LAW = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).
thf(f10,plain,
( ? [X0: r] :
( ( ( less @ X0 @ c0 )
= $true )
& ( c0 = X0 ) )
=> ( ( ( less @ sK0 @ c0 )
= $true )
& ( c0 = sK0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X0: r] :
( ( ( less @ X0 @ c0 )
= $true )
& ( c0 = X0 ) )
& ( cIRREFLEXIVE_LAW = $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( cIRREFLEXIVE_LAW = $true )
=> ! [X0: r] :
~ ( ( ( less @ X0 @ c0 )
= $true )
& ( c0 = X0 ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( cIRREFLEXIVE_LAW
=> ! [X0: r] :
~ ( ( c0 = X0 )
& ( less @ X0 @ c0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ( cIRREFLEXIVE_LAW
=> ! [X0: r] :
~ ( ( c0 = X0 )
& ( less @ X0 @ c0 ) ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
( cIRREFLEXIVE_LAW
=> ! [X0: r] :
~ ( ( c0 = X0 )
& ( less @ X0 @ c0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPARNAS_FIG3_A) ).
thf(f16,plain,
( ( less @ sK0 @ sK0 )
= $true ),
inference(definition_unfolding,[],[f15,f14]) ).
thf(f14,plain,
c0 = sK0,
inference(cnf_transformation,[],[f11]) ).
thf(f15,plain,
( ( less @ sK0 @ c0 )
= $true ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV225^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 18:56:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.36 This is a TH0_THM_EQU_NAR problem
% 0.22/0.36 Running higher-order theorem proving
% 0.22/0.36 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
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% 0.22/0.55 % (32411)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.22/0.55 % (32412)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 (2998ds/2Mi)
% 0.22/0.55 % (32409)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 (2998ds/4Mi)
% 0.22/0.55 % (32408)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.22/0.55 % (32411)First to succeed.
% 0.22/0.55 % (32414)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.22/0.55 % (32408)Also succeeded, but the first one will report.
% 0.22/0.55 % (32412)Instruction limit reached!
% 0.22/0.55 % (32412)------------------------------
% 0.22/0.55 % (32412)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.55 % (32412)Termination reason: Unknown
% 0.22/0.55 % (32412)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (32412)Memory used [KB]: 5500
% 0.22/0.55 % (32412)Time elapsed: 0.004 s
% 0.22/0.55 % (32412)Instructions burned: 2 (million)
% 0.22/0.55 % (32412)------------------------------
% 0.22/0.55 % (32412)------------------------------
% 0.22/0.55 % (32411)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (32411)------------------------------
% 0.22/0.55 % (32411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.55 % (32411)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (32411)Memory used [KB]: 5500
% 0.22/0.55 % (32411)Time elapsed: 0.004 s
% 0.22/0.55 % (32411)Instructions burned: 1 (million)
% 0.22/0.55 % (32411)------------------------------
% 0.22/0.55 % (32411)------------------------------
% 0.22/0.55 % (32274)Success in time 0.186 s
%------------------------------------------------------------------------------