TSTP Solution File: NUM830^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM830^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 08:15:53 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 21 unt; 12 typ; 0 def)
% Number of atoms : 247 ( 124 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 493 ( 46 ~; 32 |; 32 &; 371 @)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 75 ( 0 ^ 57 !; 18 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
n: $tType ).
thf(func_def_0,type,
n: $tType ).
thf(func_def_1,type,
c0: n ).
thf(func_def_2,type,
cS: n > n ).
thf(func_def_3,type,
c_plus: n > n > n ).
thf(func_def_4,type,
c_star: n > n > n ).
thf(func_def_12,type,
sK0: n ).
thf(func_def_13,type,
sK1: n ).
thf(func_def_14,type,
sK2: n ).
thf(func_def_15,type,
sK3: n ).
thf(func_def_16,type,
sK4: n ).
thf(func_def_17,type,
sK5: n ).
thf(f421,plain,
$false,
inference(subsumption_resolution,[],[f400,f42]) ).
thf(f42,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) )
& ( cPA_3 = $true )
& ( cPA_1 = $true )
& ( cPA_4 = $true )
& ( cPA_2 = $true ) ),
inference(flattening,[],[f16]) ).
thf(f16,plain,
( ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) )
& ( cPA_4 = $true )
& ( cPA_3 = $true )
& ( cPA_1 = $true )
& ( cPA_2 = $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
~ ( ( ( cPA_4 = $true )
& ( cPA_3 = $true )
& ( cPA_1 = $true )
& ( cPA_2 = $true ) )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
~ ( ( cPA_1
& cPA_2
& cPA_3
& cPA_4 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,negated_conjecture,
~ ( ( cPA_1
& cPA_2
& cPA_3
& cPA_4 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
( ( cPA_1
& cPA_2
& cPA_3
& cPA_4 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mxaatgw5w1/Vampire---4.8_17439',cPA_THM1) ).
thf(f400,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference(superposition,[],[f57,f351]) ).
thf(f351,plain,
( ( cS @ ( cS @ c0 ) )
= ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ c0 ) ) ),
inference(superposition,[],[f138,f55]) ).
thf(f55,plain,
! [X0: n] :
( c0
= ( c_star @ X0 @ c0 ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f53,plain,
! [X0: n] :
( ( $true != $true )
| ( c0
= ( c_star @ X0 @ c0 ) ) ),
inference(definition_unfolding,[],[f46,f41]) ).
thf(f41,plain,
cPA_3 = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f46,plain,
! [X0: n] :
( ( c0
= ( c_star @ X0 @ c0 ) )
| ( cPA_3 != $true ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f33,plain,
( ( ! [X0: n] :
( c0
= ( c_star @ X0 @ c0 ) )
| ( cPA_3 != $true ) )
& ( ( cPA_3 = $true )
| ( c0
!= ( c_star @ sK5 @ c0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f31,f32]) ).
thf(f32,plain,
( ? [X1: n] :
( c0
!= ( c_star @ X1 @ c0 ) )
=> ( c0
!= ( c_star @ sK5 @ c0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f31,plain,
( ( ! [X0: n] :
( c0
= ( c_star @ X0 @ c0 ) )
| ( cPA_3 != $true ) )
& ( ( cPA_3 = $true )
| ? [X1: n] :
( c0
!= ( c_star @ X1 @ c0 ) ) ) ),
inference(rectify,[],[f30]) ).
thf(f30,plain,
( ( ! [X0: n] :
( c0
= ( c_star @ X0 @ c0 ) )
| ( cPA_3 != $true ) )
& ( ( cPA_3 = $true )
| ? [X0: n] :
( c0
!= ( c_star @ X0 @ c0 ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f8,plain,
( ! [X0: n] :
( c0
= ( c_star @ X0 @ c0 ) )
<=> ( cPA_3 = $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f3,axiom,
! [X0: n] :
( ( c0
= ( c_star @ X0 @ c0 ) )
= cPA_3 ),
file('/export/starexec/sandbox2/tmp/tmp.Mxaatgw5w1/Vampire---4.8_17439',cPA_3_def) ).
thf(f138,plain,
! [X0: n] :
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ X0 ) )
= ( cS @ ( cS @ ( c_star @ ( cS @ ( cS @ c0 ) ) @ X0 ) ) ) ),
inference(superposition,[],[f75,f56]) ).
thf(f56,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
! [X0: n] :
( ( ( c_plus @ X0 @ c0 )
= X0 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f44,f40]) ).
thf(f40,plain,
cPA_1 = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f44,plain,
! [X0: n] :
( ( ( c_plus @ X0 @ c0 )
= X0 )
| ( cPA_1 != $true ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
( ( ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 )
| ( cPA_1 != $true ) )
& ( ( cPA_1 = $true )
| ( ( c_plus @ sK4 @ c0 )
!= sK4 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f27,f28]) ).
thf(f28,plain,
( ? [X1: n] :
( ( c_plus @ X1 @ c0 )
!= X1 )
=> ( ( c_plus @ sK4 @ c0 )
!= sK4 ) ),
introduced(choice_axiom,[]) ).
thf(f27,plain,
( ( ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 )
| ( cPA_1 != $true ) )
& ( ( cPA_1 = $true )
| ? [X1: n] :
( ( c_plus @ X1 @ c0 )
!= X1 ) ) ),
inference(rectify,[],[f26]) ).
thf(f26,plain,
( ( ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 )
| ( cPA_1 != $true ) )
& ( ( cPA_1 = $true )
| ? [X0: n] :
( ( c_plus @ X0 @ c0 )
!= X0 ) ) ),
inference(nnf_transformation,[],[f15]) ).
thf(f15,plain,
( ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 )
<=> ( cPA_1 = $true ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( cPA_1
= ( ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mxaatgw5w1/Vampire---4.8_17439',cPA_1_def) ).
thf(f75,plain,
! [X0: n,X1: n] :
( ( c_star @ ( cS @ ( cS @ X0 ) ) @ ( cS @ X1 ) )
= ( cS @ ( cS @ ( c_plus @ ( c_star @ ( cS @ ( cS @ X0 ) ) @ X1 ) @ X0 ) ) ) ),
inference(superposition,[],[f61,f58]) ).
thf(f58,plain,
! [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f47,plain,
! [X0: n,X1: n] :
( ( $true != $true )
| ( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) ) ),
inference(definition_unfolding,[],[f35,f38]) ).
thf(f38,plain,
cPA_2 = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f35,plain,
! [X0: n,X1: n] :
( ( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) )
| ( cPA_2 != $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f21,plain,
( ( ! [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) )
| ( cPA_2 != $true ) )
& ( ( cPA_2 = $true )
| ( ( cS @ ( c_plus @ sK1 @ sK0 ) )
!= ( c_plus @ sK1 @ ( cS @ sK0 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f19,f20]) ).
thf(f20,plain,
( ? [X2: n,X3: n] :
( ( cS @ ( c_plus @ X3 @ X2 ) )
!= ( c_plus @ X3 @ ( cS @ X2 ) ) )
=> ( ( cS @ ( c_plus @ sK1 @ sK0 ) )
!= ( c_plus @ sK1 @ ( cS @ sK0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
( ( ! [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) )
| ( cPA_2 != $true ) )
& ( ( cPA_2 = $true )
| ? [X2: n,X3: n] :
( ( cS @ ( c_plus @ X3 @ X2 ) )
!= ( c_plus @ X3 @ ( cS @ X2 ) ) ) ) ),
inference(rectify,[],[f18]) ).
thf(f18,plain,
( ( ! [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) )
| ( cPA_2 != $true ) )
& ( ( cPA_2 = $true )
| ? [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
!= ( c_plus @ X1 @ ( cS @ X0 ) ) ) ) ),
inference(nnf_transformation,[],[f12]) ).
thf(f12,plain,
( ! [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) )
<=> ( cPA_2 = $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
( cPA_2
= ( ! [X0: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X0 ) )
= ( c_plus @ X1 @ ( cS @ X0 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( cPA_2
= ( ! [X1: n,X0: n] :
( ( c_plus @ X0 @ ( cS @ X1 ) )
= ( cS @ ( c_plus @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mxaatgw5w1/Vampire---4.8_17439',cPA_2_def) ).
thf(f61,plain,
! [X0: n,X1: n] :
( ( c_star @ ( cS @ X0 ) @ ( cS @ X1 ) )
= ( cS @ ( c_plus @ ( c_star @ ( cS @ X0 ) @ X1 ) @ X0 ) ) ),
inference(superposition,[],[f57,f58]) ).
thf(f57,plain,
! [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f49,plain,
! [X0: n,X1: n] :
( ( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f37,f39]) ).
thf(f39,plain,
cPA_4 = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f37,plain,
! [X0: n,X1: n] :
( ( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) )
| ( cPA_4 != $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( ( ! [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) )
| ( cPA_4 != $true ) )
& ( ( cPA_4 = $true )
| ( ( c_plus @ ( c_star @ sK3 @ sK2 ) @ sK3 )
!= ( c_star @ sK3 @ ( cS @ sK2 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f23,f24]) ).
thf(f24,plain,
( ? [X2: n,X3: n] :
( ( c_star @ X3 @ ( cS @ X2 ) )
!= ( c_plus @ ( c_star @ X3 @ X2 ) @ X3 ) )
=> ( ( c_plus @ ( c_star @ sK3 @ sK2 ) @ sK3 )
!= ( c_star @ sK3 @ ( cS @ sK2 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f23,plain,
( ( ! [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) )
| ( cPA_4 != $true ) )
& ( ( cPA_4 = $true )
| ? [X2: n,X3: n] :
( ( c_star @ X3 @ ( cS @ X2 ) )
!= ( c_plus @ ( c_star @ X3 @ X2 ) @ X3 ) ) ) ),
inference(rectify,[],[f22]) ).
thf(f22,plain,
( ( ! [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) )
| ( cPA_4 != $true ) )
& ( ( cPA_4 = $true )
| ? [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
!= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) ) ) ),
inference(nnf_transformation,[],[f14]) ).
thf(f14,plain,
( ! [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) )
<=> ( cPA_4 = $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
( cPA_4
= ( ! [X0: n,X1: n] :
( ( c_star @ X1 @ ( cS @ X0 ) )
= ( c_plus @ ( c_star @ X1 @ X0 ) @ X1 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
( cPA_4
= ( ! [X1: n,X0: n] :
( ( c_star @ X0 @ ( cS @ X1 ) )
= ( c_plus @ ( c_star @ X0 @ X1 ) @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mxaatgw5w1/Vampire---4.8_17439',cPA_4_def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM830^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n013.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 : Fri May 3 15:17:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/sandbox2/tmp/tmp.Mxaatgw5w1/Vampire---4.8_17439
% 0.15/0.37 % (17550)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.37 % (17547)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)
% 0.15/0.37 % (17548)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)
% 0.15/0.37 % (17552)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)
% 0.15/0.37 % (17549)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)
% 0.15/0.37 % (17553)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.37 % (17550)Instruction limit reached!
% 0.15/0.37 % (17550)------------------------------
% 0.15/0.37 % (17550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (17550)Termination reason: Unknown
% 0.15/0.37 % (17550)Termination phase: Property scanning
% 0.15/0.37
% 0.15/0.37 % (17550)Memory used [KB]: 895
% 0.15/0.37 % (17550)Time elapsed: 0.003 s
% 0.15/0.37 % (17550)Instructions burned: 2 (million)
% 0.15/0.37 % (17550)------------------------------
% 0.15/0.37 % (17550)------------------------------
% 0.15/0.37 % (17548)Instruction limit reached!
% 0.15/0.37 % (17548)------------------------------
% 0.15/0.37 % (17548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (17548)Termination reason: Unknown
% 0.15/0.37 % (17548)Termination phase: Saturation
% 0.15/0.37
% 0.15/0.37 % (17548)Memory used [KB]: 5500
% 0.15/0.37 % (17548)Time elapsed: 0.005 s
% 0.15/0.37 % (17548)Instructions burned: 4 (million)
% 0.15/0.37 % (17548)------------------------------
% 0.15/0.37 % (17548)------------------------------
% 0.15/0.38 % (17551)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)
% 0.15/0.38 % (17551)Instruction limit reached!
% 0.15/0.38 % (17551)------------------------------
% 0.15/0.38 % (17551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (17551)Termination reason: Unknown
% 0.15/0.38 % (17551)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (17551)Memory used [KB]: 895
% 0.15/0.38 % (17551)Time elapsed: 0.003 s
% 0.15/0.38 % (17551)Instructions burned: 2 (million)
% 0.15/0.38 % (17551)------------------------------
% 0.15/0.38 % (17551)------------------------------
% 0.15/0.38 % (17553)Instruction limit reached!
% 0.15/0.38 % (17553)------------------------------
% 0.15/0.38 % (17553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (17553)Termination reason: Unknown
% 0.15/0.38 % (17553)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (17553)Memory used [KB]: 5628
% 0.15/0.38 % (17553)Time elapsed: 0.014 s
% 0.15/0.38 % (17553)Instructions burned: 18 (million)
% 0.15/0.38 % (17553)------------------------------
% 0.15/0.38 % (17553)------------------------------
% 0.15/0.38 % (17554)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)
% 0.15/0.39 % (17554)Instruction limit reached!
% 0.15/0.39 % (17554)------------------------------
% 0.15/0.39 % (17554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (17554)Termination reason: Unknown
% 0.15/0.39 % (17554)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (17554)Memory used [KB]: 5500
% 0.15/0.39 % (17554)Time elapsed: 0.004 s
% 0.15/0.39 % (17554)Instructions burned: 3 (million)
% 0.15/0.39 % (17554)------------------------------
% 0.15/0.39 % (17554)------------------------------
% 0.15/0.39 % (17556)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 Vampire---4 for (2999ds/15Mi)
% 0.15/0.39 % (17555)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 Vampire---4 for (2999ds/37Mi)
% 0.15/0.39 % (17549)Instruction limit reached!
% 0.15/0.39 % (17549)------------------------------
% 0.15/0.39 % (17549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (17549)Termination reason: Unknown
% 0.15/0.39 % (17549)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (17549)Memory used [KB]: 5628
% 0.15/0.39 % (17549)Time elapsed: 0.020 s
% 0.15/0.39 % (17549)Instructions burned: 28 (million)
% 0.15/0.39 % (17549)------------------------------
% 0.15/0.39 % (17549)------------------------------
% 0.15/0.39 % (17557)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39 % (17556)Instruction limit reached!
% 0.15/0.39 % (17556)------------------------------
% 0.15/0.39 % (17556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (17556)Termination reason: Unknown
% 0.15/0.39 % (17556)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (17556)Memory used [KB]: 5628
% 0.15/0.39 % (17556)Time elapsed: 0.009 s
% 0.15/0.39 % (17557)Instruction limit reached!
% 0.15/0.39 % (17557)------------------------------
% 0.15/0.39 % (17557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (17557)Termination reason: Unknown
% 0.15/0.39 % (17557)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (17557)Memory used [KB]: 5500
% 0.15/0.39 % (17557)Time elapsed: 0.004 s
% 0.15/0.39 % (17557)Instructions burned: 3 (million)
% 0.15/0.39 % (17557)------------------------------
% 0.15/0.39 % (17557)------------------------------
% 0.15/0.39 % (17556)Instructions burned: 15 (million)
% 0.15/0.39 % (17556)------------------------------
% 0.15/0.39 % (17556)------------------------------
% 0.15/0.40 % (17558)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 Vampire---4 for (2999ds/1041Mi)
% 0.15/0.40 % (17559)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.40 % (17560)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.41 % (17559)Instruction limit reached!
% 0.15/0.41 % (17559)------------------------------
% 0.15/0.41 % (17559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (17559)Termination reason: Unknown
% 0.15/0.41 % (17559)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (17559)Memory used [KB]: 1023
% 0.15/0.41 % (17559)Time elapsed: 0.007 s
% 0.15/0.41 % (17559)Instructions burned: 7 (million)
% 0.15/0.41 % (17559)------------------------------
% 0.15/0.41 % (17559)------------------------------
% 0.15/0.41 % (17562)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (17562)Instruction limit reached!
% 0.15/0.41 % (17562)------------------------------
% 0.15/0.41 % (17562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (17562)Termination reason: Unknown
% 0.15/0.41 % (17562)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (17562)Memory used [KB]: 1023
% 0.15/0.41 % (17562)Time elapsed: 0.003 s
% 0.15/0.41 % (17562)Instructions burned: 4 (million)
% 0.15/0.41 % (17562)------------------------------
% 0.15/0.41 % (17562)------------------------------
% 0.15/0.41 % (17561)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (17555)Instruction limit reached!
% 0.15/0.41 % (17555)------------------------------
% 0.15/0.41 % (17555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (17555)Termination reason: Unknown
% 0.15/0.41 % (17555)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (17555)Memory used [KB]: 5756
% 0.15/0.41 % (17555)Time elapsed: 0.025 s
% 0.15/0.41 % (17555)Instructions burned: 37 (million)
% 0.15/0.41 % (17555)------------------------------
% 0.15/0.41 % (17555)------------------------------
% 0.15/0.41 % (17561)Instruction limit reached!
% 0.15/0.41 % (17561)------------------------------
% 0.15/0.41 % (17561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (17561)Termination reason: Unknown
% 0.15/0.41 % (17561)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (17561)Memory used [KB]: 5500
% 0.15/0.41 % (17561)Time elapsed: 0.004 s
% 0.15/0.41 % (17561)Instructions burned: 3 (million)
% 0.15/0.41 % (17561)------------------------------
% 0.15/0.41 % (17561)------------------------------
% 0.15/0.42 % (17560)Instruction limit reached!
% 0.15/0.42 % (17560)------------------------------
% 0.15/0.42 % (17560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (17560)Termination reason: Unknown
% 0.15/0.42 % (17560)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (17560)Memory used [KB]: 5756
% 0.15/0.42 % (17560)Time elapsed: 0.013 s
% 0.15/0.42 % (17560)Instructions burned: 16 (million)
% 0.15/0.42 % (17560)------------------------------
% 0.15/0.42 % (17560)------------------------------
% 0.15/0.42 % (17564)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.42 % (17563)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.42 % (17564)Instruction limit reached!
% 0.15/0.42 % (17564)------------------------------
% 0.15/0.42 % (17564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (17564)Termination reason: Unknown
% 0.15/0.42 % (17564)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (17564)Memory used [KB]: 5500
% 0.15/0.42 % (17564)Time elapsed: 0.003 s
% 0.15/0.42 % (17564)Instructions burned: 4 (million)
% 0.15/0.42 % (17564)------------------------------
% 0.15/0.42 % (17564)------------------------------
% 0.22/0.42 % (17563)Refutation not found, incomplete strategy
% 0.22/0.42 % (17563)------------------------------
% 0.22/0.42 % (17563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (17563)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (17563)Memory used [KB]: 5500
% 0.22/0.42 % (17563)Time elapsed: 0.003 s
% 0.22/0.42 % (17563)Instructions burned: 2 (million)
% 0.22/0.42 % (17563)------------------------------
% 0.22/0.42 % (17563)------------------------------
% 0.22/0.43 % (17565)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.43 % (17566)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.43 % (17565)Instruction limit reached!
% 0.22/0.43 % (17565)------------------------------
% 0.22/0.43 % (17565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (17565)Termination reason: Unknown
% 0.22/0.43 % (17565)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (17565)Memory used [KB]: 5500
% 0.22/0.43 % (17565)Time elapsed: 0.005 s
% 0.22/0.43 % (17565)Instructions burned: 5 (million)
% 0.22/0.43 % (17565)------------------------------
% 0.22/0.43 % (17565)------------------------------
% 0.22/0.43 % (17567)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.43 % (17568)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.43 % (17568)Instruction limit reached!
% 0.22/0.43 % (17568)------------------------------
% 0.22/0.43 % (17568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (17568)Termination reason: Unknown
% 0.22/0.43 % (17568)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (17568)Memory used [KB]: 5500
% 0.22/0.43 % (17568)Time elapsed: 0.004 s
% 0.22/0.43 % (17568)Instructions burned: 8 (million)
% 0.22/0.43 % (17568)------------------------------
% 0.22/0.43 % (17568)------------------------------
% 0.22/0.44 % (17552)First to succeed.
% 0.22/0.44 % (17566)Instruction limit reached!
% 0.22/0.44 % (17566)------------------------------
% 0.22/0.44 % (17566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (17566)Termination reason: Unknown
% 0.22/0.44 % (17566)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (17566)Memory used [KB]: 5628
% 0.22/0.44 % (17566)Time elapsed: 0.014 s
% 0.22/0.44 % (17566)Instructions burned: 19 (million)
% 0.22/0.44 % (17566)------------------------------
% 0.22/0.44 % (17566)------------------------------
% 0.22/0.44 % (17552)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (17552)------------------------------
% 0.22/0.44 % (17552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (17552)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (17552)Memory used [KB]: 6012
% 0.22/0.44 % (17552)Time elapsed: 0.069 s
% 0.22/0.44 % (17552)Instructions burned: 111 (million)
% 0.22/0.44 % (17552)------------------------------
% 0.22/0.44 % (17552)------------------------------
% 0.22/0.44 % (17546)Success in time 0.083 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------