TSTP Solution File: LCL952^12 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL952^12 : 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 : n016.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 00:24:09 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 32 ( 6 unt; 21 typ; 0 def)
% Number of atoms : 121 ( 5 equ; 0 cnn)
% Maximal formula atoms : 11 ( 11 avg)
% Number of connectives : 185 ( 5 ~; 0 |; 0 &; 180 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 20 ^ 0 !; 0 ?; 21 :)
% ( 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_15,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_16,type,
in: $i > $i > mworld > $o ).
thf(func_def_17,type,
empty: $i > mworld > $o ).
thf(func_def_18,type,
set_intersection2: $i > $i > $i ).
thf(func_def_19,type,
singleton: $i > $i ).
thf(func_def_34,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f99,plain,
$false,
inference(subsumption_resolution,[],[f97,f88]) ).
thf(f88,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ Y0 @ ( singleton @ Y1 ) ) @ ( singleton @ Y1 ) ) ) @ ( mbox @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f77]) ).
thf(f77,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ Y0 @ ( singleton @ Y1 ) ) @ ( singleton @ Y1 ) ) ) @ ( mbox @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f76]) ).
thf(f76,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ X0 @ ( singleton @ X1 ) ) @ ( singleton @ X1 ) ) ) @ ( mbox @ ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f29]) ).
thf(f29,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X1: $i] :
( mbox
@ ( mforall_di
@ ^ [X3: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ X1 @ ( singleton @ X3 ) ) @ ( singleton @ X3 ) ) ) @ ( mbox @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l30_zfmisc_1) ).
thf(f97,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ Y0 @ ( singleton @ Y1 ) ) @ ( singleton @ Y1 ) ) ) @ ( mbox @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f86]) ).
thf(f86,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ Y0 @ ( singleton @ Y1 ) ) @ ( singleton @ Y1 ) ) ) @ ( mbox @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f73]) ).
thf(f73,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ Y0 @ ( singleton @ Y1 ) ) @ ( singleton @ Y1 ) ) ) @ ( mbox @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f72]) ).
thf(f72,plain,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ X0 @ ( singleton @ X1 ) ) @ ( singleton @ X1 ) ) ) @ ( mbox @ ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f28,negated_conjecture,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X1: $i] :
( mbox
@ ( mforall_di
@ ^ [X3: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ X1 @ ( singleton @ X3 ) ) @ ( singleton @ X3 ) ) ) @ ( mbox @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f27]) ).
thf(f27,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X1: $i] :
( mbox
@ ( mforall_di
@ ^ [X3: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ X1 @ ( singleton @ X3 ) ) @ ( singleton @ X3 ) ) ) @ ( mbox @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL952^12 : TPTP v8.2.0. Released v8.1.0.
% 0.13/0.14 % 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
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 01:20:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.22/0.38 % (29416)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (29422)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)
% 0.22/0.38 % (29417)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)
% 0.22/0.38 % (29420)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (29419)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)
% 0.22/0.38 % (29423)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (29420)Instruction limit reached!
% 0.22/0.38 % (29420)------------------------------
% 0.22/0.38 % (29420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (29420)Termination reason: Unknown
% 0.22/0.38 % (29420)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (29420)Memory used [KB]: 1023
% 0.22/0.38 % (29420)Time elapsed: 0.003 s
% 0.22/0.38 % (29420)Instructions burned: 2 (million)
% 0.22/0.38 % (29420)------------------------------
% 0.22/0.38 % (29420)------------------------------
% 0.22/0.38 % (29417)Instruction limit reached!
% 0.22/0.38 % (29417)------------------------------
% 0.22/0.38 % (29417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (29417)Termination reason: Unknown
% 0.22/0.38 % (29417)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (29417)Memory used [KB]: 1023
% 0.22/0.38 % (29417)Time elapsed: 0.004 s
% 0.22/0.38 % (29417)Instructions burned: 4 (million)
% 0.22/0.38 % (29417)------------------------------
% 0.22/0.38 % (29417)------------------------------
% 0.22/0.38 % (29421)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)
% 0.22/0.38 % (29421)Instruction limit reached!
% 0.22/0.38 % (29421)------------------------------
% 0.22/0.38 % (29421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (29421)Termination reason: Unknown
% 0.22/0.38 % (29421)Termination phase: shuffling
% 0.22/0.38 % (29424)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)
% 0.22/0.38
% 0.22/0.38 % (29421)Memory used [KB]: 1023
% 0.22/0.38 % (29421)Time elapsed: 0.004 s
% 0.22/0.38 % (29421)Instructions burned: 2 (million)
% 0.22/0.38 % (29421)------------------------------
% 0.22/0.38 % (29421)------------------------------
% 0.22/0.38 % (29422)First to succeed.
% 0.22/0.38 % (29424)Instruction limit reached!
% 0.22/0.38 % (29424)------------------------------
% 0.22/0.38 % (29424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (29424)Termination reason: Unknown
% 0.22/0.38 % (29424)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (29424)Memory used [KB]: 1023
% 0.22/0.38 % (29424)Time elapsed: 0.004 s
% 0.22/0.38 % (29424)Instructions burned: 3 (million)
% 0.22/0.38 % (29424)------------------------------
% 0.22/0.38 % (29424)------------------------------
% 0.22/0.39 % (29422)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (29422)------------------------------
% 0.22/0.39 % (29422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (29422)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (29422)Memory used [KB]: 5628
% 0.22/0.39 % (29422)Time elapsed: 0.009 s
% 0.22/0.39 % (29422)Instructions burned: 10 (million)
% 0.22/0.39 % (29422)------------------------------
% 0.22/0.39 % (29422)------------------------------
% 0.22/0.39 % (29412)Success in time 0.011 s
% 0.22/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------