TSTP Solution File: ITP001^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : n019.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 May 20 22:29:40 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 26 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 39 ( 15 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 16 ( 9 ~; 3 |; 1 &; 0 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 20 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 12 ^ 0 !; 0 ?; 18 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
tyop_2Emin_2Ebool: $tType ).
thf(func_def_1,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_4,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_5,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_6,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_9,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_12,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_17,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_18,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f80,plain,
$false,
inference(trivial_inequality_removal,[],[f79]) ).
thf(f79,plain,
$true != $true,
inference(superposition,[],[f48,f74]) ).
thf(f74,plain,
c_2Ebool_2ET = $true,
inference(trivial_inequality_removal,[],[f60]) ).
thf(f60,plain,
( ( c_2Ebool_2ET = $true )
| ( ( ^ [Y0: $o] : Y0 )
!= ( ^ [Y0: $o] : Y0 ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f44,plain,
( ( ( c_2Ebool_2ET = $true )
| ( ( ^ [Y0: $o] : Y0 )
!= ( ^ [Y0: $o] : Y0 ) ) )
& ( ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : Y0 ) )
| ( c_2Ebool_2ET != $true ) ) ),
inference(nnf_transformation,[],[f23]) ).
thf(f23,plain,
( ( c_2Ebool_2ET = $true )
<=> ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : Y0 ) ) ),
inference(fool_elimination,[],[f22]) ).
thf(f22,plain,
( c_2Ebool_2ET
<=> ( ( ^ [X0: $o] : X0 )
= ( ^ [X1: $o] : X1 ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,axiom,
( c_2Ebool_2ET
<=> ( ( ^ [X4: $o] : X4 )
= ( ^ [X5: $o] : X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(f48,plain,
c_2Ebool_2ET != $true,
inference(cnf_transformation,[],[f30]) ).
thf(f30,plain,
c_2Ebool_2ET != $true,
inference(flattening,[],[f25]) ).
thf(f25,plain,
c_2Ebool_2ET != $true,
inference(fool_elimination,[],[f24]) ).
thf(f24,plain,
~ c_2Ebool_2ET,
inference(rectify,[],[f10]) ).
thf(f10,negated_conjecture,
~ c_2Ebool_2ET,
inference(negated_conjecture,[],[f9]) ).
thf(f9,conjecture,
c_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP001^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.10/0.14 % 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
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 16:32:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH1_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.37 % (19273)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 (2999ds/27Mi)
% 0.14/0.37 % (19272)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)
% 0.14/0.37 % (19274)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (19271)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (19276)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)
% 0.14/0.37 % (19277)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (19274)Instruction limit reached!
% 0.14/0.37 % (19274)------------------------------
% 0.14/0.37 % (19274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19274)Termination reason: Unknown
% 0.14/0.37 % (19274)Termination phase: Equality resolution with deletion
% 0.14/0.37
% 0.14/0.37 % (19274)Memory used [KB]: 895
% 0.14/0.37 % (19274)Time elapsed: 0.003 s
% 0.14/0.37 % (19274)Instructions burned: 2 (million)
% 0.14/0.37 % (19274)------------------------------
% 0.14/0.37 % (19274)------------------------------
% 0.14/0.37 % (19276)Refutation not found, incomplete strategy
% 0.14/0.37 % (19276)------------------------------
% 0.14/0.37 % (19276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19276)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (19276)Memory used [KB]: 5373
% 0.14/0.37 % (19276)Time elapsed: 0.003 s
% 0.14/0.37 % (19276)Instructions burned: 1 (million)
% 0.14/0.37 % (19276)------------------------------
% 0.14/0.37 % (19276)------------------------------
% 0.14/0.37 % (19273)First to succeed.
% 0.14/0.38 % (19272)Instruction limit reached!
% 0.14/0.38 % (19272)------------------------------
% 0.14/0.38 % (19272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19277)Also succeeded, but the first one will report.
% 0.14/0.38 % (19272)Termination reason: Unknown
% 0.14/0.38 % (19272)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19272)Memory used [KB]: 5500
% 0.14/0.38 % (19272)Time elapsed: 0.005 s
% 0.14/0.38 % (19272)Instructions burned: 5 (million)
% 0.14/0.38 % (19272)------------------------------
% 0.14/0.38 % (19272)------------------------------
% 0.14/0.38 % (19273)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (19273)------------------------------
% 0.14/0.38 % (19273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19273)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (19273)Memory used [KB]: 5500
% 0.14/0.38 % (19273)Time elapsed: 0.004 s
% 0.14/0.38 % (19273)Instructions burned: 3 (million)
% 0.14/0.38 % (19273)------------------------------
% 0.14/0.38 % (19273)------------------------------
% 0.14/0.38 % (19270)Success in time 0.006 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------