TSTP Solution File: NUM670^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM670^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n014.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 01:44:31 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 21 unt; 7 typ; 0 def)
% Number of atoms : 23 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 130 ( 13 ~; 0 |; 0 &; 116 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 0 ^ 29 !; 2 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
z: nat ).
thf(func_def_4,type,
pl: nat > nat > nat ).
thf(func_def_8,type,
sK0: nat ).
thf(f47,plain,
$false,
inference(equality_resolution,[],[f36]) ).
thf(f36,plain,
! [X0: nat] :
( ( pl @ y @ ( pl @ z @ sK0 ) )
!= ( pl @ y @ ( pl @ z @ X0 ) ) ),
inference(superposition,[],[f28,f24]) ).
thf(f24,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( pl @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( pl @ X0 @ X1 ) @ X2 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( pl @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( pl @ X0 @ X1 ) @ X2 ) ),
inference(rectify,[],[f13]) ).
thf(f13,plain,
! [X2: nat,X1: nat,X0: nat] :
( ( pl @ ( pl @ X2 @ X1 ) @ X0 )
= ( pl @ X2 @ ( pl @ X1 @ X0 ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X4: nat,X3: nat,X2: nat] :
( ( pl @ ( pl @ X2 @ X3 ) @ X4 )
= ( pl @ X2 @ ( pl @ X3 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz5) ).
thf(f28,plain,
! [X0: nat] :
( ( pl @ ( pl @ y @ z ) @ X0 )
!= ( pl @ y @ ( pl @ z @ sK0 ) ) ),
inference(backward_demodulation,[],[f27,f20]) ).
thf(f20,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
! [X1: nat,X0: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X2: nat,X3: nat] :
( ( pl @ X2 @ X3 )
= ( pl @ X3 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6) ).
thf(f27,plain,
! [X0: nat] :
( ( pl @ ( pl @ y @ z ) @ X0 )
!= ( pl @ y @ ( pl @ sK0 @ z ) ) ),
inference(backward_demodulation,[],[f25,f24]) ).
thf(f25,plain,
! [X0: nat] :
( ( pl @ ( pl @ y @ z ) @ X0 )
!= ( pl @ ( pl @ y @ sK0 ) @ z ) ),
inference(definition_unfolding,[],[f22,f23]) ).
thf(f23,plain,
( x
= ( pl @ y @ sK0 ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( x
= ( pl @ y @ sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f17]) ).
thf(f17,plain,
( ? [X0: nat] :
( x
= ( pl @ y @ X0 ) )
=> ( x
= ( pl @ y @ sK0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
? [X0: nat] :
( x
= ( pl @ y @ X0 ) ),
inference(ennf_transformation,[],[f1]) ).
thf(f1,axiom,
~ ! [X0: nat] :
( x
!= ( pl @ y @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f22,plain,
! [X0: nat] :
( ( pl @ x @ z )
!= ( pl @ ( pl @ y @ z ) @ X0 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: nat] :
( ( pl @ x @ z )
!= ( pl @ ( pl @ y @ z ) @ X0 ) ),
inference(flattening,[],[f6]) ).
thf(f6,negated_conjecture,
~ ~ ! [X0: nat] :
( ( pl @ x @ z )
!= ( pl @ ( pl @ y @ z ) @ X0 ) ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
~ ! [X0: nat] :
( ( pl @ x @ z )
!= ( pl @ ( pl @ y @ z ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM670^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.12 % 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
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 05:58:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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
% 0.11/0.34 % (18844)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.11/0.35 % (18844)Instruction limit reached!
% 0.11/0.35 % (18844)------------------------------
% 0.11/0.35 % (18844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (18844)Termination reason: Unknown
% 0.11/0.35 % (18844)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (18844)Memory used [KB]: 5500
% 0.11/0.35 % (18844)Time elapsed: 0.003 s
% 0.11/0.35 % (18844)Instructions burned: 4 (million)
% 0.11/0.35 % (18844)------------------------------
% 0.11/0.35 % (18844)------------------------------
% 0.11/0.35 % (18838)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 (3000ds/4Mi)
% 0.11/0.35 % (18840)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.35 % (18839)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 (3000ds/27Mi)
% 0.11/0.35 % (18843)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.11/0.35 % (18842)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 (3000ds/275Mi)
% 0.11/0.35 % (18841)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 (3000ds/2Mi)
% 0.11/0.35 % (18840)Instruction limit reached!
% 0.11/0.35 % (18840)------------------------------
% 0.11/0.35 % (18840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (18841)Instruction limit reached!
% 0.11/0.35 % (18841)------------------------------
% 0.11/0.35 % (18841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (18841)Termination reason: Unknown
% 0.11/0.35 % (18841)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (18841)Memory used [KB]: 895
% 0.11/0.35 % (18841)Time elapsed: 0.003 s
% 0.11/0.35 % (18841)Instructions burned: 2 (million)
% 0.11/0.35 % (18841)------------------------------
% 0.11/0.35 % (18841)------------------------------
% 0.11/0.35 % (18840)Termination reason: Unknown
% 0.11/0.35 % (18840)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (18840)Memory used [KB]: 5500
% 0.11/0.35 % (18840)Time elapsed: 0.004 s
% 0.11/0.35 % (18840)Instructions burned: 2 (million)
% 0.11/0.35 % (18840)------------------------------
% 0.11/0.35 % (18840)------------------------------
% 0.11/0.35 % (18838)Instruction limit reached!
% 0.11/0.35 % (18838)------------------------------
% 0.11/0.35 % (18838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (18838)Termination reason: Unknown
% 0.11/0.35 % (18838)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (18838)Memory used [KB]: 5500
% 0.11/0.35 % (18838)Time elapsed: 0.005 s
% 0.11/0.35 % (18838)Instructions burned: 4 (million)
% 0.11/0.35 % (18838)------------------------------
% 0.11/0.35 % (18838)------------------------------
% 0.11/0.35 % (18837)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.11/0.35 % (18845)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)
% 0.11/0.36 % (18843)First to succeed.
% 0.11/0.36 % (18843)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (18843)------------------------------
% 0.11/0.36 % (18843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18843)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (18843)Memory used [KB]: 5500
% 0.11/0.36 % (18843)Time elapsed: 0.009 s
% 0.11/0.36 % (18843)Instructions burned: 8 (million)
% 0.11/0.36 % (18843)------------------------------
% 0.11/0.36 % (18843)------------------------------
% 0.11/0.36 % (18836)Success in time 0.011 s
% 0.11/0.36 % Vampire---4.8 exiting
%------------------------------------------------------------------------------