TSTP Solution File: SEV232^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV232^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 16:02:23 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 137 ( 5 ~; 0 |; 12 &; 84 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 114 ( 114 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 36 ( 24 ^ 12 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cS: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_1,type,
c0: ( $i > $o ) > $o ).
thf(f8,plain,
$false,
inference(trivial_inequality_removal,[],[f7]) ).
thf(f7,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ c0 )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ c0 )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ c0 )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ c0 )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ c0 )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ c0 )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ X2 ) ) )
& ( X1 @ c0 ) )
=> ( X1 @ X0 ) ) )
!= ( ^ [X3: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X5: ( $i > $o ) > $o] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) )
& ( X4 @ c0 ) )
=> ( X4 @ X3 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X3: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X4 @ X2 )
=> ( X4 @ ( cS @ X2 ) ) )
& ( X4 @ c0 ) )
=> ( X4 @ X3 ) ) )
!= ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ X2 ) ) )
& ( X1 @ c0 ) )
=> ( X1 @ X0 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X3: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X4 @ X2 )
=> ( X4 @ ( cS @ X2 ) ) )
& ( X4 @ c0 ) )
=> ( X4 @ X3 ) ) )
= ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ X2 ) ) )
& ( X1 @ c0 ) )
=> ( X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6007_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEV232^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.09 % Command : run_vampire %s %d THM
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Fri Jun 21 19:15:38 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.30 This is a TH0_THM_EQU_NAR problem
% 0.08/0.30 Running higher-order theorem proving
% 0.08/0.30 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
% 0.16/0.31 % (32221)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)
% 0.16/0.31 % (32217)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)
% 0.16/0.31 % (32217)First to succeed.
% 0.16/0.32 % (32216)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.32 % (32216)Also succeeded, but the first one will report.
% 0.16/0.32 % (32219)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.32 % (32220)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)
% 0.16/0.32 % (32219)Also succeeded, but the first one will report.
% 0.16/0.32 % (32217)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (32217)------------------------------
% 0.16/0.32 % (32217)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.16/0.32 % (32217)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (32217)Memory used [KB]: 5500
% 0.16/0.32 % (32217)Time elapsed: 0.002 s
% 0.16/0.32 % (32217)Instructions burned: 1 (million)
% 0.16/0.32 % (32217)------------------------------
% 0.16/0.32 % (32217)------------------------------
% 0.16/0.32 % (32215)Success in time 0.004 s
%------------------------------------------------------------------------------