TSTP Solution File: ANA100^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA100^1 : TPTP v8.1.2. 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 : n008.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 : Sun May 5 04:31:10 EDT 2024
% Result : Theorem 0.23s 0.39s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 30 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 43 ( 26 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 246 ( 20 ~; 7 |; 0 &; 218 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 64 ( 16 ^ 37 !; 8 ?; 64 :)
% ( 3 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,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/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_2,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_8,type,
sK1: sK0 > 'type/realax/real' ).
thf(func_def_9,type,
sK2: 'type/realax/real' ).
thf(func_def_10,type,
sK3: sK0 > $o ).
thf(func_def_12,type,
ph5:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
sK6:
!>[X0: $tType] : ( 'type/realax/real' > ( X0 > 'type/realax/real' ) > 'type/realax/real' > ( X0 > 'type/realax/real' ) > X0 ) ).
thf(func_def_14,type,
sK7: 'type/realax/real' > ( sK0 > 'type/realax/real' ) > sK0 ).
thf(f27,plain,
$false,
inference(subsumption_resolution,[],[f26,f12]) ).
thf(f12,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_mul' @ X0 @ X1 )
= ( 'const/realax/real_mul' @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_mul' @ X0 @ X1 )
= ( 'const/realax/real_mul' @ X1 @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.SaCJ1eLvBi/Vampire---4.8_31544','thm/realax/REAL_MUL_SYM_') ).
thf(f26,plain,
( ( 'const/realax/real_mul' @ sK2 @ ( sK1 @ ( sK7 @ sK2 @ sK1 ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ ( sK7 @ sK2 @ sK1 ) ) @ sK2 ) ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
( ( ( 'const/realax/real_mul' @ sK2 @ ( sK1 @ ( sK7 @ sK2 @ sK1 ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ ( sK7 @ sK2 @ sK1 ) ) @ sK2 ) )
| ( sK3 != sK3 ) ),
inference(equality_resolution,[],[f20]) ).
thf(f20,plain,
! [X2: sK0 > 'type/realax/real',X0: sK0 > $o,X1: 'type/realax/real'] :
( ( ( 'const/realax/real_mul' @ X1 @ ( 'const/iterate/sum' @ sK0 @ X0 @ X2 ) )
!= ( 'const/realax/real_mul' @ sK2 @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) ) )
| ( ( 'const/realax/real_mul' @ ( sK1 @ ( sK7 @ X1 @ X2 ) ) @ sK2 )
!= ( 'const/realax/real_mul' @ X1 @ ( X2 @ ( sK7 @ X1 @ X2 ) ) ) )
| ( sK3 != X0 ) ),
inference(beta_eta_normalization,[],[f19]) ).
thf(f19,plain,
! [X2: sK0 > 'type/realax/real',X0: sK0 > $o,X1: 'type/realax/real'] :
( ( ( ^ [Y0: sK0] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ sK2 )
@ ( sK7 @ X1 @ X2 ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_mul' @ X1 @ ( X2 @ Y0 ) )
@ ( sK7 @ X1 @ X2 ) ) )
| ( ( 'const/realax/real_mul' @ X1 @ ( 'const/iterate/sum' @ sK0 @ X0 @ X2 ) )
!= ( 'const/realax/real_mul' @ sK2 @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) ) )
| ( sK3 != X0 ) ),
inference(negative_extensionality,[],[f16]) ).
thf(f16,plain,
! [X2: sK0 > 'type/realax/real',X0: sK0 > $o,X1: 'type/realax/real'] :
( ( ( ^ [Y0: sK0] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ sK2 ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_mul' @ X1 @ ( X2 @ Y0 ) ) ) )
| ( sK3 != X0 )
| ( ( 'const/realax/real_mul' @ X1 @ ( 'const/iterate/sum' @ sK0 @ X0 @ X2 ) )
!= ( 'const/realax/real_mul' @ sK2 @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f14,f13]) ).
thf(f13,plain,
! [X0: $tType,X2: 'type/realax/real',X3: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( 'const/realax/real_mul' @ X2 @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_mul' @ X2 @ ( X1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ X2 @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_mul' @ X2 @ ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ X2 @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X4: X0] : ( 'const/realax/real_mul' @ X2 @ ( X1 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SaCJ1eLvBi/Vampire---4.8_31544','thm/iterate/SUM_LMUL_') ).
thf(f14,plain,
( ( 'const/iterate/sum' @ sK0 @ sK3
@ ^ [Y0: sK0] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ sK2 ) )
!= ( 'const/realax/real_mul' @ sK2 @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) ) ),
inference(backward_demodulation,[],[f11,f12]) ).
thf(f11,plain,
( ( 'const/iterate/sum' @ sK0 @ sK3
@ ^ [Y0: sK0] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ sK2 ) )
!= ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ sK2 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( 'const/iterate/sum' @ sK0 @ sK3
@ ^ [Y0: sK0] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ sK2 ) )
!= ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ sK2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ X2 )
!= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ X2 ) ) )
=> ( ( 'const/iterate/sum' @ sK0 @ sK3
@ ^ [Y0: sK0] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ sK2 ) )
!= ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ sK2 ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ X2 )
!= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ X2 ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ X2 )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ X2 ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ X2 )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X4: X0] : ( 'const/realax/real_mul' @ ( X1 @ X4 ) @ X2 ) ) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: 'type/realax/real',X3: X0 > $o] :
( ( 'const/realax/real_mul' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ X2 )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X4: X0] : ( 'const/realax/real_mul' @ ( X1 @ X4 ) @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SaCJ1eLvBi/Vampire---4.8_31544','thm/iterate/SUM_RMUL_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ANA100^1 : TPTP v8.1.2. Released v7.0.0.
% 0.15/0.15 % 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
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 15:29:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH1_THM_EQU_NAR problem
% 0.16/0.37 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/tmp/tmp.SaCJ1eLvBi/Vampire---4.8_31544
% 0.23/0.39 % (31798)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.39 % (31796)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 Vampire---4 for (2999ds/4Mi)
% 0.23/0.39 % (31797)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 Vampire---4 for (2999ds/27Mi)
% 0.23/0.39 % (31795)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.23/0.39 % (31799)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.39 % (31800)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.23/0.39 % (31801)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.39 % (31802)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.39 % (31798)Instruction limit reached!
% 0.23/0.39 % (31798)------------------------------
% 0.23/0.39 % (31798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31798)Termination reason: Unknown
% 0.23/0.39 % (31798)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (31798)Memory used [KB]: 5500
% 0.23/0.39 % (31798)Time elapsed: 0.004 s
% 0.23/0.39 % (31798)Instructions burned: 2 (million)
% 0.23/0.39 % Exception at run slice level% (31798)------------------------------
% 0.23/0.39 % (31798)------------------------------
% 0.23/0.39
% 0.23/0.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.39 % (31800)Refutation not found, incomplete strategy
% 0.23/0.39 % (31800)------------------------------
% 0.23/0.39 % (31800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31800)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (31800)Memory used [KB]: 5500
% 0.23/0.39 % (31800)Time elapsed: 0.004 s
% 0.23/0.39 % (31800)Instructions burned: 2 (million)
% 0.23/0.39 % (31800)------------------------------
% 0.23/0.39 % (31800)------------------------------
% 0.23/0.39 % (31796)Instruction limit reached!
% 0.23/0.39 % (31796)------------------------------
% 0.23/0.39 % (31796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31796)Termination reason: Unknown
% 0.23/0.39 % (31796)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (31796)Memory used [KB]: 5500
% 0.23/0.39 % (31796)Time elapsed: 0.005 s
% 0.23/0.39 % (31796)Instructions burned: 4 (million)
% 0.23/0.39 % (31796)------------------------------
% 0.23/0.39 % (31796)------------------------------
% 0.23/0.39 % (31797)Refutation not found, incomplete strategy
% 0.23/0.39 % (31797)------------------------------
% 0.23/0.39 % (31797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31797)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (31797)Memory used [KB]: 5500
% 0.23/0.39 % (31797)Time elapsed: 0.004 s
% 0.23/0.39 % (31797)Instructions burned: 3 (million)
% 0.23/0.39 % (31797)------------------------------
% 0.23/0.39 % (31797)------------------------------
% 0.23/0.39 % (31802)Instruction limit reached!
% 0.23/0.39 % (31802)------------------------------
% 0.23/0.39 % (31802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31802)Termination reason: Unknown
% 0.23/0.39 % (31802)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (31802)Memory used [KB]: 5500
% 0.23/0.39 % (31802)Time elapsed: 0.005 s
% 0.23/0.39 % (31802)Instructions burned: 3 (million)
% 0.23/0.39 % (31802)------------------------------
% 0.23/0.39 % (31802)------------------------------
% 0.23/0.39 % (31801)First to succeed.
% 0.23/0.39 % (31801)Refutation found. Thanks to Tanya!
% 0.23/0.39 % SZS status Theorem for Vampire---4
% 0.23/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.40 % (31801)------------------------------
% 0.23/0.40 % (31801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (31801)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (31801)Memory used [KB]: 5500
% 0.23/0.40 % (31801)Time elapsed: 0.009 s
% 0.23/0.40 % (31801)Instructions burned: 8 (million)
% 0.23/0.40 % (31801)------------------------------
% 0.23/0.40 % (31801)------------------------------
% 0.23/0.40 % (31794)Success in time 0.01 s
% 0.23/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------