TSTP Solution File: SET143^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET143^5 : 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 : n020.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 03:09:14 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 5 typ; 0 def)
% Number of atoms : 28 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 99 ( 8 ~; 0 |; 36 &; 54 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 18 ^ 12 !; 6 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
sK0: a > $o ).
thf(func_def_8,type,
sK1: a > $o ).
thf(func_def_9,type,
sK2: a > $o ).
thf(f10,plain,
$false,
inference(trivial_inequality_removal,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a] :
( ( sK0 @ Y0 )
& ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( sK0 @ Y0 )
& ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ( sK0 @ Y0 )
& ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( sK0 @ Y0 )
& ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 )
& ( X1 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) )
=> ( ( ^ [Y0: a] :
( ( sK0 @ Y0 )
& ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( sK0 @ Y0 )
& ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 )
& ( X1 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 )
& ( X1 @ Y0 ) ) )
= ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 )
& ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 )
& ( X0 @ X3 ) ) )
= ( ^ [X4: a] :
( ( X1 @ X4 )
& ( X2 @ X4 )
& ( X0 @ X4 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a > $o,X0: a > $o,X1: a > $o] :
( ( ^ [X3: a] :
( ( X0 @ X3 )
& ( X1 @ X3 )
& ( X2 @ X3 ) ) )
= ( ^ [X3: a] :
( ( X0 @ X3 )
& ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a > $o,X0: a > $o,X1: a > $o] :
( ( ^ [X3: a] :
( ( X0 @ X3 )
& ( X1 @ X3 )
& ( X2 @ X3 ) ) )
= ( ^ [X3: a] :
( ( X0 @ X3 )
& ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_67_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET143^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 11:47:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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
% 0.20/0.36 % (383)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)
% 0.20/0.36 % (376)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.20/0.36 % (379)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.36 % (378)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)
% 0.20/0.36 % (381)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)
% 0.20/0.36 % (376)First to succeed.
% 0.20/0.36 % (380)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)
% 0.20/0.36 % (383)Refutation not found, incomplete strategy
% 0.20/0.36 % (383)------------------------------
% 0.20/0.36 % (383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.36 % (383)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.36
% 0.20/0.36
% 0.20/0.36 % (383)Memory used [KB]: 5500
% 0.20/0.36 % (383)Time elapsed: 0.003 s
% 0.20/0.36 % (383)Instructions burned: 2 (million)
% 0.20/0.36 % (383)------------------------------
% 0.20/0.36 % (383)------------------------------
% 0.20/0.36 % (379)Instruction limit reached!
% 0.20/0.36 % (379)------------------------------
% 0.20/0.36 % (379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.36 % (379)Termination reason: Unknown
% 0.20/0.36 % (379)Termination phase: Saturation
% 0.20/0.36
% 0.20/0.36 % (379)Memory used [KB]: 5373
% 0.20/0.36 % (379)Time elapsed: 0.003 s
% 0.20/0.36 % (379)Instructions burned: 2 (million)
% 0.20/0.36 % (379)------------------------------
% 0.20/0.36 % (379)------------------------------
% 0.20/0.37 % (380)Instruction limit reached!
% 0.20/0.37 % (380)------------------------------
% 0.20/0.37 % (380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (380)Termination reason: Unknown
% 0.20/0.37 % (380)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (380)Memory used [KB]: 5500
% 0.20/0.37 % (380)Time elapsed: 0.003 s
% 0.20/0.37 % (380)Instructions burned: 2 (million)
% 0.20/0.37 % (380)------------------------------
% 0.20/0.37 % (380)------------------------------
% 0.20/0.37 % (381)Also succeeded, but the first one will report.
% 0.20/0.37 % (376)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (376)------------------------------
% 0.20/0.37 % (376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (376)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (376)Memory used [KB]: 5373
% 0.20/0.37 % (376)Time elapsed: 0.003 s
% 0.20/0.37 % (376)Instructions burned: 1 (million)
% 0.20/0.37 % (376)------------------------------
% 0.20/0.37 % (376)------------------------------
% 0.20/0.37 % (375)Success in time 0.003 s
% 0.20/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------