TSTP Solution File: SEU922^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU922^5 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 : Tue May 21 03:52:12 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 10 unt; 4 typ; 0 def)
% Number of atoms : 76 ( 23 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 130 ( 7 ~; 1 |; 4 &; 110 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 16 ^ 2 !; 0 ?; 19 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
f: $i > $i ).
thf(func_def_2,type,
g: $i > $i ).
thf(func_def_3,type,
cP: $i > $o ).
thf(func_def_10,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f25,plain,
$false,
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
$false = $true,
inference(superposition,[],[f12,f21]) ).
thf(f21,plain,
( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
= $true ),
inference(superposition,[],[f17,f16]) ).
thf(f16,plain,
! [X1: $i] :
( ( g @ ( f @ X1 ) )
= ( f @ ( g @ X1 ) ) ),
inference(beta_eta_normalization,[],[f15]) ).
thf(f15,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) )
@ X1 )
= ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) )
@ X1 ) ),
inference(argument_congruence,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
( ( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
= $true )
& ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) )
& ( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
!= $true ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
( ( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
!= $true )
& ( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
= $true )
& ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) )
=> ( ( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
= $true )
=> ( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) )
= ( ^ [X1: $i] : ( g @ ( f @ X1 ) ) ) )
=> ( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
=> ( cP @ ( g @ ( f @ ( f @ a ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) )
= ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) ) )
=> ( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
=> ( cP @ ( g @ ( f @ ( f @ a ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) )
= ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) ) )
=> ( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
=> ( cP @ ( g @ ( f @ ( f @ a ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM128_pme) ).
thf(f17,plain,
( ( cP @ ( f @ ( g @ ( f @ a ) ) ) )
= $true ),
inference(backward_demodulation,[],[f10,f16]) ).
thf(f10,plain,
( ( cP @ ( f @ ( f @ ( g @ a ) ) ) )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
= $false ),
inference(trivial_inequality_removal,[],[f11]) ).
thf(f11,plain,
( ( $true != $true )
| ( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
= $false ) ),
inference(fool_paramodulation,[],[f8]) ).
thf(f8,plain,
( ( cP @ ( g @ ( f @ ( f @ a ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU922^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 15:37:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % (6339)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)
% 0.15/0.37 % (6338)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38 % (6340)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)
% 0.15/0.38 % (6341)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38 % (6342)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)
% 0.15/0.38 % (6343)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)
% 0.15/0.38 % (6344)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38 % (6339)First to succeed.
% 0.15/0.38 % (6345)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.38 % (6338)Also succeeded, but the first one will report.
% 0.15/0.38 % (6341)Instruction limit reached!
% 0.15/0.38 % (6341)------------------------------
% 0.15/0.38 % (6341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (6341)Termination reason: Unknown
% 0.15/0.38 % (6342)Instruction limit reached!
% 0.15/0.38 % (6342)------------------------------
% 0.15/0.38 % (6342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (6342)Termination reason: Unknown
% 0.15/0.38 % (6342)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (6342)Memory used [KB]: 5500
% 0.15/0.38 % (6342)Time elapsed: 0.004 s
% 0.15/0.38 % (6342)Instructions burned: 2 (million)
% 0.15/0.38 % (6342)------------------------------
% 0.15/0.38 % (6342)------------------------------
% 0.15/0.38 % (6341)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (6341)Memory used [KB]: 5500
% 0.15/0.38 % (6341)Time elapsed: 0.004 s
% 0.15/0.38 % (6341)Instructions burned: 2 (million)
% 0.15/0.38 % (6341)------------------------------
% 0.15/0.38 % (6341)------------------------------
% 0.15/0.38 % (6343)Also succeeded, but the first one will report.
% 0.15/0.38 % (6339)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (6339)------------------------------
% 0.15/0.38 % (6339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (6339)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (6339)Memory used [KB]: 5500
% 0.15/0.38 % (6339)Time elapsed: 0.004 s
% 0.15/0.38 % (6339)Instructions burned: 3 (million)
% 0.15/0.38 % (6339)------------------------------
% 0.15/0.38 % (6339)------------------------------
% 0.15/0.38 % (6337)Success in time 0.007 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------