TSTP Solution File: SEU919^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU919^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Tue May 21 03:52:12 EDT 2024
% Result : Theorem 0.08s 0.29s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 58 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 102 ( 7 ~; 0 |; 4 &; 83 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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(f14,plain,
$false,
inference(subsumption_resolution,[],[f13,f8]) ).
thf(f8,plain,
( ( cP @ ( f @ ( g @ a ) ) )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
( ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) )
& ( ( cP @ ( g @ ( f @ a ) ) )
!= $true )
& ( ( cP @ ( f @ ( g @ a ) ) )
= $true ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
( ( ( cP @ ( g @ ( f @ a ) ) )
!= $true )
& ( ( cP @ ( 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 @ ( g @ a ) ) )
= $true )
=> ( ( cP @ ( g @ ( f @ a ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) )
= ( ^ [X1: $i] : ( f @ ( g @ X1 ) ) ) )
=> ( ( cP @ ( f @ ( g @ a ) ) )
=> ( cP @ ( g @ ( f @ a ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) )
= ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) ) )
=> ( ( cP @ ( f @ ( g @ a ) ) )
=> ( cP @ ( g @ ( f @ a ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) )
= ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) ) )
=> ( ( cP @ ( f @ ( g @ a ) ) )
=> ( cP @ ( g @ ( f @ a ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM127_pme) ).
thf(f13,plain,
( ( cP @ ( f @ ( g @ a ) ) )
!= $true ),
inference(backward_demodulation,[],[f9,f12]) ).
thf(f12,plain,
! [X1: $i] :
( ( g @ ( f @ X1 ) )
= ( f @ ( g @ X1 ) ) ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) )
@ X1 )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) )
@ X1 ) ),
inference(argument_congruence,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( ( cP @ ( g @ ( f @ a ) ) )
!= $true ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU919^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % 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
% 0.08/0.28 % 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 : Sun May 19 17:12:38 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a TH0_THM_EQU_NAR problem
% 0.08/0.28 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/benchmark/theBenchmark.p
% 0.08/0.29 % (2427)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)
% 0.08/0.29 % (2428)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)
% 0.08/0.29 % (2430)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.08/0.29 % (2433)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.08/0.29 % (2426)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.08/0.29 % (2431)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)
% 0.08/0.29 % (2430)First to succeed.
% 0.08/0.29 % (2431)Instruction limit reached!
% 0.08/0.29 % (2431)------------------------------
% 0.08/0.29 % (2431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (2431)Termination reason: Unknown
% 0.08/0.29 % (2431)Termination phase: Saturation
% 0.08/0.29
% 0.08/0.29 % (2431)Memory used [KB]: 5500
% 0.08/0.29 % (2431)Time elapsed: 0.002 s
% 0.08/0.29 % (2431)Instructions burned: 2 (million)
% 0.08/0.29 % (2431)------------------------------
% 0.08/0.29 % (2431)------------------------------
% 0.08/0.29 % (2427)Also succeeded, but the first one will report.
% 0.08/0.29 % (2428)Also succeeded, but the first one will report.
% 0.08/0.29 % (2430)Refutation found. Thanks to Tanya!
% 0.08/0.29 % SZS status Theorem for theBenchmark
% 0.08/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.29 % (2430)------------------------------
% 0.08/0.29 % (2430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (2430)Termination reason: Refutation
% 0.08/0.29
% 0.08/0.29 % (2430)Memory used [KB]: 5500
% 0.08/0.29 % (2430)Time elapsed: 0.003 s
% 0.08/0.29 % (2430)Instructions burned: 1 (million)
% 0.08/0.29 % (2430)------------------------------
% 0.08/0.29 % (2430)------------------------------
% 0.08/0.29 % (2422)Success in time 0.003 s
% 0.08/0.30 % Vampire---4.8 exiting
%------------------------------------------------------------------------------