TSTP Solution File: ALG283^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG283^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n011.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 18:20:49 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 40 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 179 ( 10 ~; 0 |; 18 &; 147 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 73 ( 0 ^ 62 !; 11 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: a > a > a ).
thf(func_def_2,type,
cE: a ).
thf(func_def_3,type,
cJ: a > a ).
thf(func_def_7,type,
sK0: a ).
thf(func_def_8,type,
sK1: a ).
thf(f230,plain,
$false,
inference(equality_resolution,[],[f212]) ).
thf(f212,plain,
! [X0: a] : ( sK0 != X0 ),
inference(superposition,[],[f12,f35]) ).
thf(f35,plain,
! [X0: a,X1: a] :
( ( cP @ X0 @ ( cP @ ( cJ @ X0 ) @ X1 ) )
= X1 ),
inference(superposition,[],[f23,f17]) ).
thf(f17,plain,
! [X0: a,X1: a] :
( ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) )
= X1 ),
inference(forward_demodulation,[],[f15,f11]) ).
thf(f11,plain,
! [X4: a] :
( ( cP @ cE @ X4 )
= X4 ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ! [X0: a] :
( cE
= ( cP @ ( cJ @ X0 ) @ X0 ) )
& ! [X3: a] :
( sK0
!= ( cP @ sK1 @ X3 ) )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 )
& ! [X5: a,X6: a,X7: a] :
( ( cP @ X6 @ ( cP @ X7 @ X5 ) )
= ( cP @ ( cP @ X6 @ X7 ) @ X5 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X1: a,X2: a] :
! [X3: a] :
( ( cP @ X2 @ X3 )
!= X1 )
=> ! [X3: a] :
( sK0
!= ( cP @ sK1 @ X3 ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
( ! [X0: a] :
( cE
= ( cP @ ( cJ @ X0 ) @ X0 ) )
& ? [X1: a,X2: a] :
! [X3: a] :
( ( cP @ X2 @ X3 )
!= X1 )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 )
& ! [X5: a,X6: a,X7: a] :
( ( cP @ X6 @ ( cP @ X7 @ X5 ) )
= ( cP @ ( cP @ X6 @ X7 ) @ X5 ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
( ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ? [X6: a,X5: a] :
! [X7: a] :
( ( cP @ X5 @ X7 )
!= X6 )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X4: a,X2: a,X3: a] :
( ( cP @ X2 @ ( cP @ X3 @ X4 ) )
= ( cP @ ( cP @ X2 @ X3 ) @ X4 ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ? [X6: a,X5: a] :
! [X7: a] :
( ( cP @ X5 @ X7 )
!= X6 )
& ! [X4: a,X2: a,X3: a] :
( ( cP @ X2 @ ( cP @ X3 @ X4 ) )
= ( cP @ ( cP @ X2 @ X3 ) @ X4 ) )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X4: a,X2: a,X3: a] :
( ( cP @ X2 @ ( cP @ X3 @ X4 ) )
= ( cP @ ( cP @ X2 @ X3 ) @ X4 ) )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 ) )
=> ! [X5: a,X6: a] :
? [X7: a] :
( ( cP @ X5 @ X7 )
= X6 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ! [X0: a,X1: a,X2: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X3: a,X4: a] :
? [X5: a] :
( ( cP @ X3 @ X5 )
= X4 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ! [X0: a,X1: a,X2: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X3: a,X4: a] :
? [X5: a] :
( ( cP @ X3 @ X5 )
= X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM20_pme) ).
thf(f15,plain,
! [X0: a,X1: a] :
( ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) )
= ( cP @ cE @ X1 ) ),
inference(superposition,[],[f10,f13]) ).
thf(f13,plain,
! [X0: a] :
( cE
= ( cP @ ( cJ @ X0 ) @ X0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f10,plain,
! [X6: a,X7: a,X5: a] :
( ( cP @ X6 @ ( cP @ X7 @ X5 ) )
= ( cP @ ( cP @ X6 @ X7 ) @ X5 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f23,plain,
! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ X1 ) ),
inference(superposition,[],[f17,f17]) ).
thf(f12,plain,
! [X3: a] :
( sK0
!= ( cP @ sK1 @ X3 ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG283^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15 % 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 : n011.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 : Sat May 18 23:39:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.36 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
% 0.22/0.39 % (5741)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (5741)Instruction limit reached!
% 0.22/0.40 % (5741)------------------------------
% 0.22/0.40 % (5741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5741)Termination reason: Unknown
% 0.22/0.40 % (5742)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)
% 0.22/0.40 % (5739)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)
% 0.22/0.40 % (5740)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)
% 0.22/0.40 % (5741)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (5741)Memory used [KB]: 5500
% 0.22/0.40 % (5743)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)
% 0.22/0.40 % (5741)Time elapsed: 0.005 s
% 0.22/0.40 % (5741)Instructions burned: 2 (million)
% 0.22/0.40 % (5738)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (5741)------------------------------
% 0.22/0.40 % (5741)------------------------------
% 0.22/0.40 % (5744)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (5745)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)
% 0.22/0.40 % (5742)Instruction limit reached!
% 0.22/0.40 % (5742)------------------------------
% 0.22/0.40 % (5742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5742)Termination reason: Unknown
% 0.22/0.40 % (5742)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (5742)Memory used [KB]: 895
% 0.22/0.40 % (5742)Time elapsed: 0.004 s
% 0.22/0.40 % (5742)Instructions burned: 2 (million)
% 0.22/0.40 % (5742)------------------------------
% 0.22/0.40 % (5742)------------------------------
% 0.22/0.40 % (5745)Instruction limit reached!
% 0.22/0.40 % (5745)------------------------------
% 0.22/0.40 % (5745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5745)Termination reason: Unknown
% 0.22/0.40 % (5745)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (5745)Memory used [KB]: 5500
% 0.22/0.40 % (5745)Time elapsed: 0.006 s
% 0.22/0.40 % (5745)Instructions burned: 3 (million)
% 0.22/0.40 % (5745)------------------------------
% 0.22/0.40 % (5745)------------------------------
% 0.22/0.40 % (5739)Instruction limit reached!
% 0.22/0.40 % (5739)------------------------------
% 0.22/0.40 % (5739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5739)Termination reason: Unknown
% 0.22/0.40 % (5739)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (5739)Memory used [KB]: 5500
% 0.22/0.40 % (5739)Time elapsed: 0.008 s
% 0.22/0.40 % (5739)Instructions burned: 4 (million)
% 0.22/0.40 % (5739)------------------------------
% 0.22/0.40 % (5739)------------------------------
% 0.22/0.42 % (5744)Instruction limit reached!
% 0.22/0.42 % (5744)------------------------------
% 0.22/0.42 % (5744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (5744)Termination reason: Unknown
% 0.22/0.42 % (5744)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (5744)Memory used [KB]: 5500
% 0.22/0.42 % (5744)Time elapsed: 0.022 s
% 0.22/0.42 % (5744)Instructions burned: 18 (million)
% 0.22/0.42 % (5744)------------------------------
% 0.22/0.42 % (5744)------------------------------
% 0.22/0.42 % (5746)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)
% 0.22/0.42 % (5740)Instruction limit reached!
% 0.22/0.42 % (5740)------------------------------
% 0.22/0.42 % (5740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (5740)Termination reason: Unknown
% 0.22/0.42 % (5740)Termination phase: Saturation
% 0.22/0.42 % (5747)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 theBenchmark for (2999ds/15Mi)
% 0.22/0.42
% 0.22/0.42 % (5740)Memory used [KB]: 5628
% 0.22/0.42 % (5740)Time elapsed: 0.030 s
% 0.22/0.42 % (5740)Instructions burned: 28 (million)
% 0.22/0.42 % (5740)------------------------------
% 0.22/0.42 % (5740)------------------------------
% 0.22/0.43 % (5748)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (5749)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 theBenchmark for (2999ds/1041Mi)
% 0.22/0.43 % (5743)First to succeed.
% 0.22/0.43 % (5748)Instruction limit reached!
% 0.22/0.43 % (5748)------------------------------
% 0.22/0.43 % (5748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (5748)Termination reason: Unknown
% 0.22/0.43 % (5748)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (5748)Memory used [KB]: 5500
% 0.22/0.43 % (5748)Time elapsed: 0.006 s
% 0.22/0.43 % (5748)Instructions burned: 3 (million)
% 0.22/0.43 % (5748)------------------------------
% 0.22/0.43 % (5748)------------------------------
% 0.22/0.43 % (5743)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (5743)------------------------------
% 0.22/0.43 % (5743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (5743)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (5743)Memory used [KB]: 5628
% 0.22/0.43 % (5743)Time elapsed: 0.036 s
% 0.22/0.43 % (5743)Instructions burned: 33 (million)
% 0.22/0.43 % (5743)------------------------------
% 0.22/0.43 % (5743)------------------------------
% 0.22/0.43 % (5737)Success in time 0.045 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------