TSTP Solution File: SET055^12 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET055^12 : TPTP v8.2.0. Released v8.1.0.
% 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 03:08:18 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 45
% Syntax : Number of formulae : 54 ( 6 unt; 43 typ; 0 def)
% Number of atoms : 41 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 45 ( 5 ~; 0 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 10 ^ 0 !; 0 ?; 11 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mrel: mworld > mworld > $o ).
thf(func_def_2,type,
mactual: mworld ).
thf(func_def_3,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_5,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
eiw_di: $i > mworld > $o ).
thf(func_def_13,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_20,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_21,type,
inductive: $i > mworld > $o ).
thf(func_def_22,type,
disjoint: $i > $i > mworld > $o ).
thf(func_def_23,type,
function: $i > mworld > $o ).
thf(func_def_24,type,
member: $i > $i > mworld > $o ).
thf(func_def_25,type,
subclass: $i > $i > mworld > $o ).
thf(func_def_26,type,
singleton: $i > $i ).
thf(func_def_27,type,
image: $i > $i > $i ).
thf(func_def_28,type,
inverse: $i > $i ).
thf(func_def_29,type,
rotate: $i > $i ).
thf(func_def_30,type,
unordered_pair: $i > $i > $i ).
thf(func_def_31,type,
successor: $i > $i ).
thf(func_def_32,type,
apply: $i > $i > $i ).
thf(func_def_33,type,
power_class: $i > $i ).
thf(func_def_34,type,
range_of: $i > $i ).
thf(func_def_35,type,
union: $i > $i > $i ).
thf(func_def_36,type,
restrict: $i > $i > $i > $i ).
thf(func_def_37,type,
second: $i > $i ).
thf(func_def_38,type,
ordered_pair: $i > $i > $i ).
thf(func_def_39,type,
domain_of: $i > $i ).
thf(func_def_40,type,
sum_class: $i > $i ).
thf(func_def_41,type,
compose: $i > $i > $i ).
thf(func_def_42,type,
intersection: $i > $i > $i ).
thf(func_def_43,type,
cross_product: $i > $i > $i ).
thf(func_def_44,type,
complement: $i > $i ).
thf(func_def_45,type,
flip: $i > $i ).
thf(func_def_46,type,
first: $i > $i ).
thf(func_def_62,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f293,plain,
$false,
inference(subsumption_resolution,[],[f291,f292]) ).
thf(f292,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f156]) ).
thf(f156,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f155]) ).
thf(f155,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( qmltpeq @ X0 @ X0 ) ) ),
inference(rectify,[],[f13]) ).
thf(f13,axiom,
( mlocal
@ ( mforall_di
@ ^ [X5: $i] : ( qmltpeq @ X5 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(f291,plain,
( $true
!= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f290]) ).
thf(f290,plain,
( $true
!= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(flattening,[],[f273]) ).
thf(f273,plain,
( $true
!= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f272]) ).
thf(f272,plain,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( qmltpeq @ X0 @ X0 ) ) ),
inference(rectify,[],[f97]) ).
thf(f97,negated_conjecture,
~ ( mlocal
@ ( mforall_di
@ ^ [X5: $i] : ( qmltpeq @ X5 @ X5 ) ) ),
inference(negated_conjecture,[],[f96]) ).
thf(f96,conjecture,
( mlocal
@ ( mforall_di
@ ^ [X5: $i] : ( qmltpeq @ X5 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET055^12 : TPTP v8.2.0. Released v8.1.0.
% 0.00/0.10 % 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
% 0.10/0.28 % Computer : n015.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon May 20 12:18:22 EDT 2024
% 0.10/0.28 % CPUTime :
% 0.10/0.28 This is a TH0_THM_EQU_NAR problem
% 0.10/0.29 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
% 0.15/0.30 % (4417)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 (2999ds/2Mi)
% 0.15/0.30 % (4416)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.30 % (4415)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)
% 0.15/0.30 % (4414)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)
% 0.15/0.30 % (4419)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.30 % (4416)Instruction limit reached!
% 0.15/0.30 % (4416)------------------------------
% 0.15/0.30 % (4416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.30 % (4416)Termination reason: Unknown
% 0.15/0.30 % (4416)Termination phase: shuffling
% 0.15/0.30
% 0.15/0.30 % (4416)Memory used [KB]: 1151
% 0.15/0.30 % (4417)Instruction limit reached!
% 0.15/0.30 % (4417)------------------------------
% 0.15/0.30 % (4417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.30 % (4417)Termination reason: Unknown
% 0.15/0.30 % (4417)Termination phase: shuffling
% 0.15/0.30
% 0.15/0.30 % (4417)Memory used [KB]: 1151
% 0.15/0.30 % (4417)Time elapsed: 0.003 s
% 0.15/0.30 % (4417)Instructions burned: 4 (million)
% 0.15/0.30 % (4417)------------------------------
% 0.15/0.30 % (4417)------------------------------
% 0.15/0.30 % (4416)Time elapsed: 0.002 s
% 0.15/0.30 % (4416)Instructions burned: 4 (million)
% 0.15/0.30 % (4416)------------------------------
% 0.15/0.30 % (4416)------------------------------
% 0.15/0.30 % (4414)Instruction limit reached!
% 0.15/0.30 % (4414)------------------------------
% 0.15/0.30 % (4414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.30 % (4414)Termination reason: Unknown
% 0.15/0.30 % (4414)Termination phase: shuffling
% 0.15/0.30
% 0.15/0.30 % (4414)Memory used [KB]: 1279
% 0.15/0.30 % (4414)Time elapsed: 0.003 s
% 0.15/0.30 % (4414)Instructions burned: 7 (million)
% 0.15/0.30 % (4414)------------------------------
% 0.15/0.30 % (4414)------------------------------
% 0.15/0.31 % (4418)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)
% 0.15/0.31 % (4419)Instruction limit reached!
% 0.15/0.31 % (4419)------------------------------
% 0.15/0.31 % (4419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.31 % (4419)Termination reason: Unknown
% 0.15/0.31 % (4419)Termination phase: Property scanning
% 0.15/0.31
% 0.15/0.31 % (4419)Memory used [KB]: 1407
% 0.15/0.31 % (4419)Time elapsed: 0.007 s
% 0.15/0.31 % (4419)Instructions burned: 20 (million)
% 0.15/0.31 % (4419)------------------------------
% 0.15/0.31 % (4419)------------------------------
% 0.15/0.31 % (4420)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.31 % (4413)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.31 % (4420)Instruction limit reached!
% 0.15/0.31 % (4420)------------------------------
% 0.15/0.31 % (4420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.31 % (4420)Termination reason: Unknown
% 0.15/0.31 % (4420)Termination phase: shuffling
% 0.15/0.31
% 0.15/0.31 % (4420)Memory used [KB]: 1151
% 0.15/0.31 % (4420)Time elapsed: 0.002 s
% 0.15/0.31 % (4420)Instructions burned: 3 (million)
% 0.15/0.31 % (4420)------------------------------
% 0.15/0.31 % (4420)------------------------------
% 0.15/0.31 % (4415)Instruction limit reached!
% 0.15/0.31 % (4415)------------------------------
% 0.15/0.31 % (4415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.31 % (4415)Termination reason: Unknown
% 0.15/0.31 % (4415)Termination phase: Property scanning
% 0.15/0.31
% 0.15/0.31 % (4415)Memory used [KB]: 1407
% 0.15/0.31 % (4415)Time elapsed: 0.008 s
% 0.15/0.31 % (4415)Instructions burned: 27 (million)
% 0.15/0.31 % (4415)------------------------------
% 0.15/0.31 % (4415)------------------------------
% 0.15/0.31 % (4421)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.31 % (4422)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.31 % (4423)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.31 % (4423)Instruction limit reached!
% 0.15/0.31 % (4423)------------------------------
% 0.15/0.31 % (4423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.31 % (4423)Termination reason: Unknown
% 0.15/0.31 % (4423)Termination phase: shuffling
% 0.15/0.31
% 0.15/0.31 % (4423)Memory used [KB]: 1151
% 0.15/0.31 % (4423)Time elapsed: 0.003 s
% 0.15/0.31 % (4423)Instructions burned: 5 (million)
% 0.15/0.31 % (4423)------------------------------
% 0.15/0.31 % (4423)------------------------------
% 0.15/0.32 % (4424)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.32 % (4422)Instruction limit reached!
% 0.15/0.32 % (4422)------------------------------
% 0.15/0.32 % (4422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (4422)Termination reason: Unknown
% 0.15/0.32 % (4422)Termination phase: Property scanning
% 0.15/0.32
% 0.15/0.32 % (4422)Memory used [KB]: 1407
% 0.15/0.32 % (4422)Time elapsed: 0.006 s
% 0.15/0.32 % (4422)Instructions burned: 17 (million)
% 0.15/0.32 % (4422)------------------------------
% 0.15/0.32 % (4422)------------------------------
% 0.15/0.32 % (4426)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.32 % (4418)First to succeed.
% 0.15/0.32 % (4418)Refutation found. Thanks to Tanya!
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32 % (4418)------------------------------
% 0.15/0.32 % (4418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (4418)Termination reason: Refutation
% 0.15/0.32
% 0.15/0.32 % (4418)Memory used [KB]: 5884
% 0.15/0.32 % (4418)Time elapsed: 0.013 s
% 0.15/0.32 % (4418)Instructions burned: 26 (million)
% 0.15/0.32 % (4418)------------------------------
% 0.15/0.32 % (4418)------------------------------
% 0.15/0.32 % (4412)Success in time 0.028 s
% 0.15/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------