TSTP Solution File: ANA098^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA098^1 : TPTP v8.2.0. Released v7.0.0.
% 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 : n024.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 18:40:28 EDT 2024
% Result : Theorem 0.11s 0.37s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 37 ( 21 unt; 15 typ; 0 def)
% Number of atoms : 71 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 392 ( 9 ~; 0 |; 0 &; 382 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 89 ( 89 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 1 con; 0-6 aty)
% Number of variables : 89 ( 10 ^ 61 !; 6 ?; 89 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
'type/realax/real': $tType ).
thf(type_def_7,type,
sK0: $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'const/sets/ITSET':
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > ( X0 > $o ) > X1 > X1 ) ).
thf(func_def_2,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_4,type,
'const/iterate/support':
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > X0 ) > ( X1 > X0 ) > ( X1 > $o ) > X1 > $o ) ).
thf(func_def_5,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_6,type,
'const/iterate/neutral':
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_7,type,
'const/iterate/iterate':
!>[X0: $tType,X1: $tType] : ( ( X1 > X1 > X1 ) > ( X0 > $o ) > ( X0 > X1 ) > X1 ) ).
thf(func_def_8,type,
'const/class/COND':
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_10,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_16,type,
sK1: sK0 > 'type/realax/real' ).
thf(func_def_17,type,
sK2: sK0 > $o ).
thf(func_def_19,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f29,plain,
$false,
inference(trivial_inequality_removal,[],[f28]) ).
thf(f28,plain,
( ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ sK2 @ sK1 )
!= ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ sK2 @ sK1 ) ),
inference(superposition,[],[f18,f26]) ).
thf(f26,plain,
! [X1: $tType,X0: $tType,X2: X1 > X1 > X1,X3: X0 > X1,X4: X0 > $o] :
( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4 ) @ X3 )
= ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) ),
inference(forward_demodulation,[],[f25,f19]) ).
thf(f19,plain,
! [X1: $tType,X0: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > X1 > X1] :
( ( 'const/iterate/iterate' @ X0 @ X1 @ X4 @ X3 @ X2 )
= ( 'const/class/COND' @ X1 @ ( 'const/sets/FINITE' @ X0 @ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 ) )
@ ( 'const/sets/ITSET' @ X0 @ X1
@ ^ [Y0: X0] : ( X4 @ ( X2 @ Y0 ) )
@ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
! [X1: $tType,X0: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > X1 > X1] :
( ( 'const/iterate/iterate' @ X0 @ X1 @ X4 @ X3 @ X2 )
= ( 'const/class/COND' @ X1 @ ( 'const/sets/FINITE' @ X0 @ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 ) )
@ ( 'const/sets/ITSET' @ X0 @ X1
@ ^ [Y0: X0,Y1: X1] : ( X4 @ ( X2 @ Y0 ) @ Y1 )
@ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
! [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > X1 > X1] :
( ( 'const/iterate/iterate' @ X0 @ X1 @ X4 @ X3 @ X2 )
= ( 'const/class/COND' @ X1 @ ( 'const/sets/FINITE' @ X0 @ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 ) )
@ ( 'const/sets/ITSET' @ X0 @ X1
@ ^ [Y0: X0,Y1: X1] : ( X4 @ ( X2 @ Y0 ) @ Y1 )
@ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
! [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > X1 > X1] :
( ( 'const/iterate/iterate' @ X0 @ X1 @ X4 @ X3 @ X2 )
= ( 'const/class/COND' @ X1 @ ( 'const/sets/FINITE' @ X0 @ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 ) )
@ ( 'const/sets/ITSET' @ X0 @ X1
@ ^ [X5: X0,X6: X1] : ( X4 @ ( X2 @ X5 ) @ X6 )
@ ( 'const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X3 )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) )
@ ( 'const/iterate/neutral' @ X1 @ X4 ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: $tType,X3: X0 > X1,X4: X0 > $o,X5: X1 > X1 > X1] :
( ( 'const/iterate/iterate' @ X0 @ X1 @ X5 @ X4 @ X3 )
= ( 'const/class/COND' @ X1 @ ( 'const/sets/FINITE' @ X0 @ ( 'const/iterate/support' @ X1 @ X0 @ X5 @ X3 @ X4 ) )
@ ( 'const/sets/ITSET' @ X0 @ X1
@ ^ [X6: X0,X7: X1] : ( X5 @ ( X3 @ X6 ) @ X7 )
@ ( 'const/iterate/support' @ X1 @ X0 @ X5 @ X3 @ X4 )
@ ( 'const/iterate/neutral' @ X1 @ X5 ) )
@ ( 'const/iterate/neutral' @ X1 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/iterate_') ).
thf(f25,plain,
! [X1: $tType,X0: $tType,X2: X1 > X1 > X1,X3: X0 > X1,X4: X0 > $o] :
( ( 'const/class/COND' @ X1 @ ( 'const/sets/FINITE' @ X0 @ ( 'const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4 ) )
@ ( 'const/sets/ITSET' @ X0 @ X1
@ ^ [Y0: X0] : ( X2 @ ( X3 @ Y0 ) )
@ ( 'const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4 )
@ ( 'const/iterate/neutral' @ X1 @ X2 ) )
@ ( 'const/iterate/neutral' @ X1 @ X2 ) )
= ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4 ) @ X3 ) ),
inference(superposition,[],[f19,f16]) ).
thf(f16,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > X0,X3: X1 > X0,X4: X1 > $o] :
( ( 'const/iterate/support' @ X0 @ X1 @ X2 @ X3 @ ( 'const/iterate/support' @ X0 @ X1 @ X2 @ X3 @ X4 ) )
= ( 'const/iterate/support' @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > X0,X3: X1 > X0,X4: X1 > $o] :
( ( 'const/iterate/support' @ X0 @ X1 @ X2 @ X3 @ ( 'const/iterate/support' @ X0 @ X1 @ X2 @ X3 @ X4 ) )
= ( 'const/iterate/support' @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: $tType,X1: $tType,X3: X0 > X0 > X0,X4: X1 > X0,X5: X1 > $o] :
( ( 'const/iterate/support' @ X0 @ X1 @ X3 @ X4 @ X5 )
= ( 'const/iterate/support' @ X0 @ X1 @ X3 @ X4 @ ( 'const/iterate/support' @ X0 @ X1 @ X3 @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUPPORT_SUPPORT_') ).
thf(f18,plain,
( ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ sK2 @ sK1 )
!= ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/iterate/support' @ 'type/realax/real' @ sK0 @ 'const/realax/real_add' @ sK1 @ sK2 ) @ sK1 ) ),
inference(definition_unfolding,[],[f15,f17,f17]) ).
thf(f17,plain,
! [X0: $tType] :
( 'const/iterate/sum'
@ ( X0
= ( 'const/iterate/iterate' @ X0 @ 'type/realax/real' @ 'const/realax/real_add' ) ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType] :
( 'const/iterate/sum'
@ ( X0
= ( 'const/iterate/iterate' @ X0 @ 'type/realax/real' @ 'const/realax/real_add' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/sum_') ).
thf(f15,plain,
( ( 'const/iterate/sum' @ sK0 @ sK2 @ sK1 )
!= ( 'const/iterate/sum' @ sK0 @ ( 'const/iterate/support' @ 'type/realax/real' @ sK0 @ 'const/realax/real_add' @ sK1 @ sK2 ) @ sK1 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( 'const/iterate/sum' @ sK0 @ sK2 @ sK1 )
!= ( 'const/iterate/sum' @ sK0 @ ( 'const/iterate/support' @ 'type/realax/real' @ sK0 @ 'const/realax/real_add' @ sK1 @ sK2 ) @ sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f11,f12]) ).
thf(f12,plain,
( ? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( 'const/iterate/sum' @ X0 @ ( 'const/iterate/support' @ 'type/realax/real' @ X0 @ 'const/realax/real_add' @ X1 @ X2 ) @ X1 )
!= ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
=> ( ( 'const/iterate/sum' @ sK0 @ sK2 @ sK1 )
!= ( 'const/iterate/sum' @ sK0 @ ( 'const/iterate/support' @ 'type/realax/real' @ sK0 @ 'const/realax/real_add' @ sK1 @ sK2 ) @ sK1 ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( 'const/iterate/sum' @ X0 @ ( 'const/iterate/support' @ 'type/realax/real' @ X0 @ 'const/realax/real_add' @ X1 @ X2 ) @ X1 )
!= ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f9,plain,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( 'const/iterate/sum' @ X0 @ ( 'const/iterate/support' @ 'type/realax/real' @ X0 @ 'const/realax/real_add' @ X1 @ X2 ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X3: X0 > $o] :
( ( 'const/iterate/sum' @ X0 @ ( 'const/iterate/support' @ 'type/realax/real' @ X0 @ 'const/realax/real_add' @ X1 @ X3 ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X0: $tType,X1: X0 > 'type/realax/real',X3: X0 > $o] :
( ( 'const/iterate/sum' @ X0 @ ( 'const/iterate/support' @ 'type/realax/real' @ X0 @ 'const/realax/real_add' @ X1 @ X3 ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_SUPPORT_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA098^1 : TPTP v8.2.0. Released v7.0.0.
% 0.10/0.14 % 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
% 0.11/0.34 % Computer : n024.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon May 20 08:22:52 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 This is a TH1_THM_EQU_NAR problem
% 0.11/0.35 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
% 0.11/0.36 % (27201)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)
% 0.11/0.36 % (27205)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)
% 0.11/0.36 % (27206)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.36 % (27203)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.36 % (27204)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)
% 0.11/0.36 % (27202)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)
% 0.11/0.36 % (27201)Instruction limit reached!
% 0.11/0.36 % (27201)------------------------------
% 0.11/0.36 % (27201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (27201)Termination reason: Unknown
% 0.11/0.36 % (27201)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (27201)Memory used [KB]: 5500
% 0.11/0.36 % (27201)Time elapsed: 0.004 s
% 0.11/0.36 % (27201)Instructions burned: 5 (million)
% 0.11/0.36 % (27201)------------------------------
% 0.11/0.36 % (27201)------------------------------
% 0.11/0.36 % (27204)Instruction limit reached!
% 0.11/0.36 % (27204)------------------------------
% 0.11/0.36 % (27204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (27204)Termination reason: Unknown
% 0.11/0.36 % (27204)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (27204)Memory used [KB]: 895
% 0.11/0.36 % (27204)Time elapsed: 0.002 s
% 0.11/0.36 % (27207)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)
% 0.11/0.36 % (27204)Instructions burned: 2 (million)
% 0.11/0.36 % (27204)------------------------------
% 0.11/0.36 % (27204)------------------------------
% 0.11/0.36 % (27203)Instruction limit reached!
% 0.11/0.36 % (27203)------------------------------
% 0.11/0.36 % (27203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (27203)Termination reason: Unknown
% 0.11/0.36 % (27203)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (27203)Memory used [KB]: 5500
% 0.11/0.36 % (27203)Time elapsed: 0.003 s
% 0.11/0.36 % (27203)Instructions burned: 3 (million)
% 0.11/0.36 % (27203)------------------------------
% 0.11/0.36 % (27203)------------------------------
% 0.11/0.37 % (27205)Refutation not found, incomplete strategy
% 0.11/0.37 % (27205)------------------------------
% 0.11/0.37 % (27205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (27207)Instruction limit reached!
% 0.11/0.37 % (27207)------------------------------
% 0.11/0.37 % (27207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (27207)Termination reason: Unknown
% 0.11/0.37 % (27207)Termination phase: Saturation
% 0.11/0.37
% 0.11/0.37 % (27207)Memory used [KB]: 1023
% 0.11/0.37 % (27207)Time elapsed: 0.003 s
% 0.11/0.37 % (27207)Instructions burned: 3 (million)
% 0.11/0.37 % (27207)------------------------------
% 0.11/0.37 % (27207)------------------------------
% 0.11/0.37 % (27205)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.37
% 0.11/0.37
% 0.11/0.37 % (27205)Memory used [KB]: 5500
% 0.11/0.37 % (27205)Time elapsed: 0.003 s
% 0.11/0.37 % (27205)Instructions burned: 3 (million)
% 0.11/0.37 % (27205)------------------------------
% 0.11/0.37 % (27205)------------------------------
% 0.11/0.37 % (27200)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37 % (27202)First to succeed.
% 0.11/0.37 % (27202)Refutation found. Thanks to Tanya!
% 0.11/0.37 % SZS status Theorem for theBenchmark
% 0.11/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.37 % (27202)------------------------------
% 0.11/0.37 % (27202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (27202)Termination reason: Refutation
% 0.11/0.37
% 0.11/0.37 % (27202)Memory used [KB]: 5628
% 0.11/0.37 % (27202)Time elapsed: 0.008 s
% 0.11/0.37 % (27202)Instructions burned: 8 (million)
% 0.11/0.37 % (27202)------------------------------
% 0.11/0.37 % (27202)------------------------------
% 0.11/0.37 % (27199)Success in time 0.018 s
% 0.11/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------