TSTP Solution File: SEV017^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV017^5 : 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 : n015.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 04:11:42 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 205 ( 83 equ; 0 cnn)
% Maximal formula atoms : 18 ( 10 avg)
% Number of connectives : 344 ( 36 ~; 24 |; 46 &; 216 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 103 ( 0 ^ 81 !; 22 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > $o ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
sK3: a ).
thf(f42,plain,
$false,
inference(subsumption_resolution,[],[f41,f13]) ).
thf(f13,plain,
( $true
!= ( sK0 @ sK2 @ sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ! [X1: a,X2: a,X3: a] :
( ( $true
= ( sK0 @ X2 @ X1 ) )
| ( ( sK0 @ X3 @ X1 )
!= $true )
| ( $true
!= ( sK0 @ X2 @ X3 ) ) )
& ! [X4: a,X5: a] :
( ( $true
= ( sK0 @ X5 @ X4 ) )
| ( ( sK0 @ X4 @ X5 )
!= $true ) )
& ( $true
= ( sK0 @ sK1 @ sK3 ) )
& ( ( sK0 @ sK2 @ sK1 )
= $true )
& ( $true
!= ( sK0 @ sK2 @ sK3 ) )
& ! [X9: a] :
( ( sK0 @ X9 @ X9 )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > a > $o] :
( ! [X1: a,X2: a,X3: a] :
( ( ( X0 @ X2 @ X1 )
= $true )
| ( $true
!= ( X0 @ X3 @ X1 ) )
| ( ( X0 @ X2 @ X3 )
!= $true ) )
& ! [X4: a,X5: a] :
( ( ( X0 @ X5 @ X4 )
= $true )
| ( $true
!= ( X0 @ X4 @ X5 ) ) )
& ? [X6: a,X7: a,X8: a] :
( ( ( X0 @ X6 @ X8 )
= $true )
& ( $true
= ( X0 @ X7 @ X6 ) )
& ( ( X0 @ X7 @ X8 )
!= $true ) )
& ! [X9: a] :
( ( X0 @ X9 @ X9 )
= $true ) )
=> ( ! [X3: a,X2: a,X1: a] :
( ( $true
= ( sK0 @ X2 @ X1 ) )
| ( ( sK0 @ X3 @ X1 )
!= $true )
| ( $true
!= ( sK0 @ X2 @ X3 ) ) )
& ! [X5: a,X4: a] :
( ( $true
= ( sK0 @ X5 @ X4 ) )
| ( ( sK0 @ X4 @ X5 )
!= $true ) )
& ? [X8: a,X7: a,X6: a] :
( ( ( sK0 @ X6 @ X8 )
= $true )
& ( ( sK0 @ X7 @ X6 )
= $true )
& ( ( sK0 @ X7 @ X8 )
!= $true ) )
& ! [X9: a] :
( ( sK0 @ X9 @ X9 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X8: a,X7: a,X6: a] :
( ( ( sK0 @ X6 @ X8 )
= $true )
& ( ( sK0 @ X7 @ X6 )
= $true )
& ( ( sK0 @ X7 @ X8 )
!= $true ) )
=> ( ( $true
= ( sK0 @ sK1 @ sK3 ) )
& ( ( sK0 @ sK2 @ sK1 )
= $true )
& ( $true
!= ( sK0 @ sK2 @ sK3 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > $o] :
( ! [X1: a,X2: a,X3: a] :
( ( ( X0 @ X2 @ X1 )
= $true )
| ( $true
!= ( X0 @ X3 @ X1 ) )
| ( ( X0 @ X2 @ X3 )
!= $true ) )
& ! [X4: a,X5: a] :
( ( ( X0 @ X5 @ X4 )
= $true )
| ( $true
!= ( X0 @ X4 @ X5 ) ) )
& ? [X6: a,X7: a,X8: a] :
( ( ( X0 @ X6 @ X8 )
= $true )
& ( $true
= ( X0 @ X7 @ X6 ) )
& ( ( X0 @ X7 @ X8 )
!= $true ) )
& ! [X9: a] :
( ( X0 @ X9 @ X9 )
= $true ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o] :
( ! [X5: a,X4: a,X3: a] :
( ( $true
= ( X0 @ X4 @ X5 ) )
| ( $true
!= ( X0 @ X3 @ X5 ) )
| ( $true
!= ( X0 @ X4 @ X3 ) ) )
& ! [X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ X2 @ X1 )
!= $true ) )
& ? [X7: a,X8: a,X9: a] :
( ( ( X0 @ X7 @ X9 )
= $true )
& ( $true
= ( X0 @ X8 @ X7 ) )
& ( ( X0 @ X8 @ X9 )
!= $true ) )
& ! [X6: a] :
( ( X0 @ X6 @ X6 )
= $true ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X0 @ X7 @ X9 )
= $true )
& ( $true
= ( X0 @ X8 @ X7 ) ) )
& ! [X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ X2 @ X1 )
!= $true ) )
& ! [X6: a] :
( ( X0 @ X6 @ X6 )
= $true )
& ! [X3: a,X5: a,X4: a] :
( ( $true
= ( X0 @ X4 @ X5 ) )
| ( $true
!= ( X0 @ X4 @ X3 ) )
| ( $true
!= ( X0 @ X3 @ X5 ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o] :
( ( ! [X2: a,X1: a] :
( ( ( X0 @ X2 @ X1 )
= $true )
=> ( ( X0 @ X1 @ X2 )
= $true ) )
& ! [X6: a] :
( ( X0 @ X6 @ X6 )
= $true )
& ! [X3: a,X5: a,X4: a] :
( ( ( $true
= ( X0 @ X4 @ X3 ) )
& ( $true
= ( X0 @ X3 @ X5 ) ) )
=> ( $true
= ( X0 @ X4 @ X5 ) ) ) )
=> ! [X7: a,X8: a,X9: a] :
( ( $true
= ( X0 @ X8 @ X7 ) )
=> ( ( ( X0 @ X7 @ X9 )
= $true )
=> ( ( X0 @ X8 @ X9 )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X2 @ X1 )
=> ( X0 @ X1 @ X2 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X0 @ X3 @ X5 )
& ( X0 @ X4 @ X3 ) )
=> ( X0 @ X4 @ X5 ) )
& ! [X6: a] : ( X0 @ X6 @ X6 ) )
=> ! [X7: a,X8: a,X9: a] :
( ( X0 @ X8 @ X7 )
=> ( ( X0 @ X7 @ X9 )
=> ( X0 @ X8 @ X9 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X2: a,X1: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X2: a,X1: a,X3: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 ) )
=> ! [X2: a,X1: a,X3: a] :
( ( X0 @ X1 @ X2 )
=> ( ( X0 @ X2 @ X3 )
=> ( X0 @ X1 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X2: a,X1: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X2: a,X1: a,X3: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 ) )
=> ! [X2: a,X1: a,X3: a] :
( ( X0 @ X1 @ X2 )
=> ( ( X0 @ X2 @ X3 )
=> ( X0 @ X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM514_pme) ).
thf(f41,plain,
( $true
= ( sK0 @ sK2 @ sK3 ) ),
inference(trivial_inequality_removal,[],[f36]) ).
thf(f36,plain,
( ( $true
= ( sK0 @ sK2 @ sK3 ) )
| ( $true != $true ) ),
inference(superposition,[],[f33,f15]) ).
thf(f15,plain,
( $true
= ( sK0 @ sK1 @ sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f33,plain,
! [X0: a] :
( ( ( sK0 @ sK1 @ X0 )
!= $true )
| ( $true
= ( sK0 @ sK2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f30,plain,
! [X0: a] :
( ( $true
= ( sK0 @ sK2 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 @ X0 )
!= $true ) ),
inference(superposition,[],[f17,f14]) ).
thf(f14,plain,
( ( sK0 @ sK2 @ sK1 )
= $true ),
inference(cnf_transformation,[],[f11]) ).
thf(f17,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
!= ( sK0 @ X2 @ X3 ) )
| ( $true
= ( sK0 @ X2 @ X1 ) )
| ( ( sK0 @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV017^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 18:56:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_NEQ_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/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (13294)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37 % (13291)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37 % (13292)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)
% 0.13/0.37 % (13290)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)
% 0.13/0.37 % (13293)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)
% 0.13/0.37 % (13288)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37 % (13289)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)
% 0.13/0.37 % (13291)Instruction limit reached!
% 0.13/0.37 % (13291)------------------------------
% 0.13/0.37 % (13291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13295)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)
% 0.13/0.37 % (13291)Termination reason: Unknown
% 0.13/0.37 % (13291)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (13291)Memory used [KB]: 5500
% 0.13/0.37 % (13291)Time elapsed: 0.003 s
% 0.13/0.37 % (13291)Instructions burned: 2 (million)
% 0.13/0.37 % (13291)------------------------------
% 0.13/0.37 % (13291)------------------------------
% 0.13/0.37 % (13292)Instruction limit reached!
% 0.13/0.37 % (13292)------------------------------
% 0.13/0.37 % (13292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13292)Termination reason: Unknown
% 0.13/0.37 % (13292)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (13292)Memory used [KB]: 5500
% 0.13/0.37 % (13292)Time elapsed: 0.003 s
% 0.13/0.37 % (13292)Instructions burned: 2 (million)
% 0.13/0.37 % (13292)------------------------------
% 0.13/0.37 % (13292)------------------------------
% 0.13/0.37 % (13294)First to succeed.
% 0.13/0.37 % (13295)Instruction limit reached!
% 0.13/0.37 % (13295)------------------------------
% 0.13/0.37 % (13295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13295)Termination reason: Unknown
% 0.13/0.37 % (13295)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (13295)Memory used [KB]: 5500
% 0.13/0.37 % (13295)Time elapsed: 0.004 s
% 0.13/0.37 % (13295)Instructions burned: 4 (million)
% 0.13/0.37 % (13295)------------------------------
% 0.13/0.37 % (13295)------------------------------
% 0.13/0.38 % (13289)Instruction limit reached!
% 0.13/0.38 % (13289)------------------------------
% 0.13/0.38 % (13289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (13289)Termination reason: Unknown
% 0.13/0.38 % (13289)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (13289)Memory used [KB]: 5500
% 0.13/0.38 % (13289)Time elapsed: 0.005 s
% 0.13/0.38 % (13289)Instructions burned: 5 (million)
% 0.13/0.38 % (13289)------------------------------
% 0.13/0.38 % (13289)------------------------------
% 0.13/0.38 % (13288)Also succeeded, but the first one will report.
% 0.13/0.38 % (13294)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (13294)------------------------------
% 0.13/0.38 % (13294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (13294)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (13294)Memory used [KB]: 5500
% 0.13/0.38 % (13294)Time elapsed: 0.007 s
% 0.13/0.38 % (13294)Instructions burned: 5 (million)
% 0.13/0.38 % (13294)------------------------------
% 0.13/0.38 % (13294)------------------------------
% 0.13/0.38 % (13287)Success in time 0.006 s
% 0.13/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------