TSTP Solution File: PUZ141^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% 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 : 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 : Sun May 5 08:49:28 EDT 2024
% Result : Theorem 0.23s 0.41s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 58 ( 26 unt; 18 typ; 0 def)
% Number of atoms : 113 ( 58 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 223 ( 23 ~; 13 |; 0 &; 177 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 37 ( 0 ^ 34 !; 3 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
direction: $tType ).
thf(type_def_6,type,
position: $tType ).
thf(type_def_8,type,
movelist: $tType ).
thf(func_def_0,type,
position: $tType ).
thf(func_def_1,type,
direction: $tType ).
thf(func_def_2,type,
left: direction ).
thf(func_def_3,type,
right: direction ).
thf(func_def_4,type,
top: direction ).
thf(func_def_5,type,
bottom: direction ).
thf(func_def_6,type,
next: position > direction > position ).
thf(func_def_8,type,
wall: position > $o ).
thf(func_def_9,type,
movelist: $tType ).
thf(func_def_10,type,
nomove: movelist ).
thf(func_def_11,type,
movedir: movelist > direction > movelist ).
thf(func_def_12,type,
playerpos: movelist > position ).
thf(func_def_13,type,
c00: position ).
thf(func_def_14,type,
c10: position ).
thf(func_def_15,type,
c20: position ).
thf(f72,plain,
$false,
inference(subsumption_resolution,[],[f71,f55]) ).
thf(f55,plain,
( $true
!= ( wall @ ( next @ ( playerpos @ nomove ) @ right ) ) ),
inference(definition_unfolding,[],[f48,f52]) ).
thf(f52,plain,
( c10
= ( next @ ( playerpos @ nomove ) @ right ) ),
inference(definition_unfolding,[],[f51,f40]) ).
thf(f40,plain,
( c00
= ( playerpos @ nomove ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,axiom,
( c00
= ( playerpos @ nomove ) ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',start_axiom) ).
thf(f51,plain,
( c10
= ( next @ c00 @ right ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,axiom,
( c10
= ( next @ c00 @ right ) ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',c10_defin) ).
thf(f48,plain,
( ( wall @ c10 )
!= $true ),
inference(cnf_transformation,[],[f30]) ).
thf(f30,plain,
( ( wall @ c10 )
!= $true ),
inference(flattening,[],[f29]) ).
thf(f29,plain,
( ( wall @ c10 )
!= $true ),
inference(true_and_false_elimination,[],[f21]) ).
thf(f21,plain,
( ( ( wall @ c10 )
= $true )
<=> $false ),
inference(fool_elimination,[],[f9]) ).
thf(f9,axiom,
( ( wall @ c10 )
= $false ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',c10_axiom) ).
thf(f71,plain,
( $true
= ( wall @ ( next @ ( playerpos @ nomove ) @ right ) ) ),
inference(subsumption_resolution,[],[f70,f56]) ).
thf(f56,plain,
( $true
!= ( wall @ ( next @ ( next @ ( playerpos @ nomove ) @ right ) @ right ) ) ),
inference(definition_unfolding,[],[f49,f53]) ).
thf(f53,plain,
( c20
= ( next @ ( next @ ( playerpos @ nomove ) @ right ) @ right ) ),
inference(definition_unfolding,[],[f46,f52]) ).
thf(f46,plain,
( c20
= ( next @ c10 @ right ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,axiom,
( c20
= ( next @ c10 @ right ) ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',c20_defin) ).
thf(f49,plain,
( ( wall @ c20 )
!= $true ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( ( wall @ c20 )
!= $true ),
inference(flattening,[],[f23]) ).
thf(f23,plain,
( ( wall @ c20 )
!= $true ),
inference(true_and_false_elimination,[],[f17]) ).
thf(f17,plain,
( $false
<=> ( ( wall @ c20 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,axiom,
( $false
= ( wall @ c20 ) ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',c20_axiom) ).
thf(f70,plain,
( ( $true
= ( wall @ ( next @ ( next @ ( playerpos @ nomove ) @ right ) @ right ) ) )
| ( $true
= ( wall @ ( next @ ( playerpos @ nomove ) @ right ) ) ) ),
inference(equality_resolution,[],[f62]) ).
thf(f62,plain,
! [X2: direction,X0: movelist,X1: direction] :
( ( ( next @ ( next @ ( playerpos @ nomove ) @ right ) @ right )
!= ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) )
| ( ( wall @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) )
= $true )
| ( ( wall @ ( next @ ( playerpos @ X0 ) @ X1 ) )
= $true ) ),
inference(superposition,[],[f60,f58]) ).
thf(f58,plain,
! [X2: movelist,X0: direction] :
( ( ( wall @ ( next @ ( playerpos @ X2 ) @ X0 ) )
= $true )
| ( ( playerpos @ ( movedir @ X2 @ X0 ) )
= ( next @ ( playerpos @ X2 ) @ X0 ) ) ),
inference(equality_resolution,[],[f41]) ).
thf(f41,plain,
! [X2: movelist,X0: direction,X1: position] :
( ( ( playerpos @ X2 )
!= X1 )
| ( ( wall @ ( next @ X1 @ X0 ) )
= $true )
| ( ( next @ X1 @ X0 )
= ( playerpos @ ( movedir @ X2 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f37,plain,
! [X0: direction,X1: position,X2: movelist] :
( ( ( playerpos @ X2 )
!= X1 )
| ( ( wall @ ( next @ X1 @ X0 ) )
= $true )
| ( ( next @ X1 @ X0 )
= ( playerpos @ ( movedir @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f33]) ).
thf(f33,plain,
! [X1: direction,X2: position,X0: movelist] :
( ( ( playerpos @ X0 )
!= X2 )
| ( ( wall @ ( next @ X2 @ X1 ) )
= $true )
| ( ( next @ X2 @ X1 )
= ( playerpos @ ( movedir @ X0 @ X1 ) ) ) ),
inference(flattening,[],[f32]) ).
thf(f32,plain,
! [X0: movelist,X1: direction,X2: position] :
( ( ( next @ X2 @ X1 )
= ( playerpos @ ( movedir @ X0 @ X1 ) ) )
| ( ( wall @ ( next @ X2 @ X1 ) )
= $true )
| ( ( playerpos @ X0 )
!= X2 ) ),
inference(ennf_transformation,[],[f28]) ).
thf(f28,plain,
! [X0: movelist,X1: direction,X2: position] :
( ( ( playerpos @ X0 )
= X2 )
=> ( ( ( wall @ ( next @ X2 @ X1 ) )
!= $true )
=> ( ( next @ X2 @ X1 )
= ( playerpos @ ( movedir @ X0 @ X1 ) ) ) ) ),
inference(flattening,[],[f20]) ).
thf(f20,plain,
! [X0: movelist,X1: direction,X2: position] :
( ( ( playerpos @ X0 )
= X2 )
=> ( ( ( wall @ ( next @ X2 @ X1 ) )
!= $true )
=> ( ( next @ X2 @ X1 )
= ( playerpos @ ( movedir @ X0 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
! [X0: movelist,X1: direction,X2: position] :
( ( ( playerpos @ X0 )
= X2 )
=> ( ~ ( wall @ ( next @ X2 @ X1 ) )
=> ( ( next @ X2 @ X1 )
= ( playerpos @ ( movedir @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X4: movelist,X5: direction,X3: position] :
( ( ( playerpos @ X4 )
= X3 )
=> ( ~ ( wall @ ( next @ X3 @ X5 ) )
=> ( ( next @ X3 @ X5 )
= ( playerpos @ ( movedir @ X4 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',player_move_legal) ).
thf(f60,plain,
! [X0: movelist,X1: direction] :
( ( ( next @ ( next @ ( playerpos @ nomove ) @ right ) @ right )
!= ( next @ ( playerpos @ X0 ) @ X1 ) )
| ( ( wall @ ( next @ ( playerpos @ X0 ) @ X1 ) )
= $true ) ),
inference(superposition,[],[f57,f58]) ).
thf(f57,plain,
! [X0: movelist] :
( ( playerpos @ X0 )
!= ( next @ ( next @ ( playerpos @ nomove ) @ right ) @ right ) ),
inference(definition_unfolding,[],[f50,f53]) ).
thf(f50,plain,
! [X0: movelist] :
( c20
!= ( playerpos @ X0 ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f36,plain,
! [X0: movelist] :
( c20
!= ( playerpos @ X0 ) ),
inference(ennf_transformation,[],[f31]) ).
thf(f31,plain,
~ ? [X0: movelist] :
( c20
= ( playerpos @ X0 ) ),
inference(rectify,[],[f13]) ).
thf(f13,negated_conjecture,
~ ? [X4: movelist] :
( ( playerpos @ X4 )
= c20 ),
inference(negated_conjecture,[],[f12]) ).
thf(f12,conjecture,
? [X4: movelist] :
( ( playerpos @ X4 )
= c20 ),
file('/export/starexec/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850',exercise) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% 0.03/0.15 % 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
% 0.16/0.36 % Computer : n024.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 18:05:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_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/sandbox2/tmp/tmp.zdZXnWVNJX/Vampire---4.8_26850
% 0.23/0.39 % (27092)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 % (27088)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 % (27091)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 % (27089)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 % (27090)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 % (27093)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 % (27092)Refutation not found, incomplete strategy
% 0.23/0.39 % (27092)------------------------------
% 0.23/0.39 % (27092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (27094)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 % (27087)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 % (27092)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (27092)Memory used [KB]: 5500
% 0.23/0.39 % (27092)Time elapsed: 0.003 s
% 0.23/0.39 % (27092)Instructions burned: 2 (million)
% 0.23/0.39 % (27092)------------------------------
% 0.23/0.39 % (27092)------------------------------
% 0.23/0.39 % (27091)Instruction limit reached!
% 0.23/0.39 % (27091)------------------------------
% 0.23/0.39 % (27091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (27091)Termination reason: Unknown
% 0.23/0.39 % (27091)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (27091)Memory used [KB]: 895
% 0.23/0.39 % (27091)Time elapsed: 0.003 s
% 0.23/0.39 % (27091)Instructions burned: 2 (million)
% 0.23/0.39 % (27091)------------------------------
% 0.23/0.39 % (27091)------------------------------
% 0.23/0.39 % (27090)Instruction limit reached!
% 0.23/0.39 % (27090)------------------------------
% 0.23/0.39 % (27090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (27090)Termination reason: Unknown
% 0.23/0.39 % (27090)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (27090)Memory used [KB]: 5500
% 0.23/0.39 % (27090)Time elapsed: 0.003 s
% 0.23/0.39 % (27090)Instructions burned: 3 (million)
% 0.23/0.39 % (27090)------------------------------
% 0.23/0.39 % (27090)------------------------------
% 0.23/0.39 % (27094)Instruction limit reached!
% 0.23/0.39 % (27094)------------------------------
% 0.23/0.39 % (27094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (27094)Termination reason: Unknown
% 0.23/0.39 % (27094)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (27094)Memory used [KB]: 5500
% 0.23/0.39 % (27094)Time elapsed: 0.004 s
% 0.23/0.39 % (27094)Instructions burned: 3 (million)
% 0.23/0.39 % (27094)------------------------------
% 0.23/0.39 % (27094)------------------------------
% 0.23/0.39 % (27088)Instruction limit reached!
% 0.23/0.39 % (27088)------------------------------
% 0.23/0.39 % (27088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (27088)Termination reason: Unknown
% 0.23/0.39 % (27088)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (27088)Memory used [KB]: 5500
% 0.23/0.39 % (27088)Time elapsed: 0.004 s
% 0.23/0.39 % (27088)Instructions burned: 4 (million)
% 0.23/0.39 % (27088)------------------------------
% 0.23/0.39 % (27088)------------------------------
% 0.23/0.40 % (27093)Instruction limit reached!
% 0.23/0.40 % (27093)------------------------------
% 0.23/0.40 % (27093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (27093)Termination reason: Unknown
% 0.23/0.40 % (27093)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (27093)Memory used [KB]: 5500
% 0.23/0.40 % (27093)Time elapsed: 0.014 s
% 0.23/0.40 % (27093)Instructions burned: 18 (million)
% 0.23/0.40 % (27093)------------------------------
% 0.23/0.40 % (27093)------------------------------
% 0.23/0.40 % (27104)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)
% 0.23/0.40 % (27103)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)
% 0.23/0.40 % (27105)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)
% 0.23/0.40 % (27106)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)
% 0.23/0.41 % (27108)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)
% 0.23/0.41 % (27089)Instruction limit reached!
% 0.23/0.41 % (27089)------------------------------
% 0.23/0.41 % (27089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (27089)Termination reason: Unknown
% 0.23/0.41 % (27089)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (27089)Memory used [KB]: 5500
% 0.23/0.41 % (27089)Time elapsed: 0.019 s
% 0.23/0.41 % (27089)Instructions burned: 27 (million)
% 0.23/0.41 % (27089)------------------------------
% 0.23/0.41 % (27089)------------------------------
% 0.23/0.41 % (27105)Instruction limit reached!
% 0.23/0.41 % (27105)------------------------------
% 0.23/0.41 % (27105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (27105)Termination reason: Unknown
% 0.23/0.41 % (27105)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (27105)Memory used [KB]: 5500
% 0.23/0.41 % (27105)Time elapsed: 0.026 s
% 0.23/0.41 % (27105)Instructions burned: 3 (million)
% 0.23/0.41 % (27105)------------------------------
% 0.23/0.41 % (27105)------------------------------
% 0.23/0.41 % (27104)First to succeed.
% 0.23/0.41 % (27104)Refutation found. Thanks to Tanya!
% 0.23/0.41 % SZS status Theorem for Vampire---4
% 0.23/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.41 % (27104)------------------------------
% 0.23/0.41 % (27104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (27104)Termination reason: Refutation
% 0.23/0.41
% 0.23/0.41 % (27104)Memory used [KB]: 5500
% 0.23/0.41 % (27104)Time elapsed: 0.030 s
% 0.23/0.41 % (27104)Instructions burned: 8 (million)
% 0.23/0.41 % (27104)------------------------------
% 0.23/0.41 % (27104)------------------------------
% 0.23/0.41 % (27084)Success in time 0.043 s
% 0.23/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------