TSTP Solution File: SEV232^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV232^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 : Sun May 5 09:41:50 EDT 2024
% Result : Theorem 0.17s 0.33s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 7 unt; 3 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 : 123 ( 123 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 37 ( 24 ^ 12 !; 0 ?; 37 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cS: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_1,type,
c0: ( $i > $o ) > $o ).
thf(func_def_3,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
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] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ c0 ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ c0 ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ c0 ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ c0 ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ c0 ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ c0 ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ c0 )
& ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ X2 ) ) ) )
=> ( X1 @ X0 ) ) )
!= ( ^ [X3: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ( X4 @ c0 )
& ! [X5: ( $i > $o ) > $o] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X3 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ c0 )
& ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ X2 ) ) ) )
=> ( X1 @ X0 ) ) )
!= ( ^ [X3: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ( X4 @ c0 )
& ! [X2: ( $i > $o ) > $o] :
( ( X4 @ X2 )
=> ( X4 @ ( cS @ X2 ) ) ) )
=> ( X4 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ c0 )
& ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ X2 ) ) ) )
=> ( X1 @ X0 ) ) )
= ( ^ [X3: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ( X4 @ c0 )
& ! [X2: ( $i > $o ) > $o] :
( ( X4 @ X2 )
=> ( X4 @ ( cS @ X2 ) ) ) )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zV2L1Fgooa/Vampire---4.8_29856',cX6007_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEV232^5 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 12:17:38 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a TH0_THM_EQU_NAR problem
% 0.16/0.32 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.zV2L1Fgooa/Vampire---4.8_29856
% 0.17/0.33 % (29968)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 Vampire---4 for (3000ds/27Mi)
% 0.17/0.33 % (29970)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.17/0.33 % (29967)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 Vampire---4 for (3000ds/4Mi)
% 0.17/0.33 % (29969)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.17/0.33 % (29966)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.17/0.33 % (29971)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.17/0.33 % (29972)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.17/0.33 % (29970)Instruction limit reached!
% 0.17/0.33 % (29970)------------------------------
% 0.17/0.33 % (29970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (29970)Termination reason: Unknown
% 0.17/0.33 % (29970)Termination phase: Saturation
% 0.17/0.33
% 0.17/0.33 % (29970)Memory used [KB]: 895
% 0.17/0.33 % (29970)Time elapsed: 0.002 s
% 0.17/0.33 % (29970)Instructions burned: 2 (million)
% 0.17/0.33 % (29970)------------------------------
% 0.17/0.33 % (29970)------------------------------
% 0.17/0.33 % (29973)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.17/0.33 % (29968)First to succeed.
% 0.17/0.33 % (29969)Instruction limit reached!
% 0.17/0.33 % (29969)------------------------------
% 0.17/0.33 % (29969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (29969)Termination reason: Unknown
% 0.17/0.33 % (29969)Termination phase: Saturation
% 0.17/0.33
% 0.17/0.33 % (29971)Also succeeded, but the first one will report.
% 0.17/0.33 % (29969)Memory used [KB]: 5500
% 0.17/0.33 % (29969)Time elapsed: 0.003 s
% 0.17/0.33 % (29969)Instructions burned: 3 (million)
% 0.17/0.33 % (29969)------------------------------
% 0.17/0.33 % (29969)------------------------------
% 0.17/0.33 % (29966)Also succeeded, but the first one will report.
% 0.17/0.33 % (29968)Refutation found. Thanks to Tanya!
% 0.17/0.33 % SZS status Theorem for Vampire---4
% 0.17/0.33 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.33 % (29968)------------------------------
% 0.17/0.33 % (29968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (29968)Termination reason: Refutation
% 0.17/0.33
% 0.17/0.33 % (29968)Memory used [KB]: 5500
% 0.17/0.33 % (29968)Time elapsed: 0.003 s
% 0.17/0.33 % (29968)Instructions burned: 2 (million)
% 0.17/0.33 % (29968)------------------------------
% 0.17/0.33 % (29968)------------------------------
% 0.17/0.33 % (29965)Success in time 0.003 s
% 0.17/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------