TSTP Solution File: SEV169^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV169^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 04:12:14 EDT 2024
% Result : Theorem 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 9 unt; 4 typ; 0 def)
% Number of atoms : 54 ( 53 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 174 ( 9 ~; 0 |; 32 &; 128 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 92 ( 92 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 204 ( 190 ^ 8 !; 6 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
sK0: ( a > a > a ) > a ).
thf(func_def_8,type,
sK1: ( a > a > a ) > a ).
thf(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f12]) ).
thf(f12,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ( ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( ( sK0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( sK1 != sK0 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK0 )
& ( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( X0 != X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 ) )
=> ( ( ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( ( sK0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( sK1 != sK0 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK0 )
& ( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( X0 != X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( X0 != X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 )
& ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 )
& ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 ) )
=> ( X0 = X1 ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ( ^ [X2: a > a > a] :
( X2
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X5: a,X6: a] : X6 ) ) )
= X1 )
& ( ( X0
@ ^ [X7: a,X8: a] : X8 )
= ( X1
@ ^ [X9: a,X10: a] : X10 ) )
& ( ( X1
@ ^ [X11: a,X12: a] : X11 )
= ( X0
@ ^ [X13: a,X14: a] : X13 ) )
& ( X0
= ( ^ [X15: a > a > a] :
( X15
@ ( X0
@ ^ [X16: a,X17: a] : X16 )
@ ( X0
@ ^ [X18: a,X19: a] : X19 ) ) ) ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ( ^ [X2: a > a > a] :
( X2
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 ) ) )
= X1 )
& ( ( X0
@ ^ [X3: a,X4: a] : X4 )
= ( X1
@ ^ [X3: a,X4: a] : X4 ) )
& ( ( X1
@ ^ [X3: a,X4: a] : X3 )
= ( X0
@ ^ [X3: a,X4: a] : X3 ) )
& ( X0
= ( ^ [X2: a > a > a] :
( X2
@ ( X0
@ ^ [X3: a,X4: a] : X3 )
@ ( X0
@ ^ [X3: a,X4: a] : X4 ) ) ) ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ( ^ [X2: a > a > a] :
( X2
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 ) ) )
= X1 )
& ( ( X0
@ ^ [X3: a,X4: a] : X4 )
= ( X1
@ ^ [X3: a,X4: a] : X4 ) )
& ( ( X1
@ ^ [X3: a,X4: a] : X3 )
= ( X0
@ ^ [X3: a,X4: a] : X3 ) )
& ( X0
= ( ^ [X2: a > a > a] :
( X2
@ ( X0
@ ^ [X3: a,X4: a] : X3 )
@ ( X0
@ ^ [X3: a,X4: a] : X4 ) ) ) ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM188_pme) ).
thf(f17,plain,
sK1 = sK0,
inference(forward_demodulation,[],[f16,f11]) ).
thf(f11,plain,
( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK0 ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK1 ),
inference(backward_demodulation,[],[f15,f13]) ).
thf(f13,plain,
( ( sK0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK1 ),
inference(forward_demodulation,[],[f10,f14]) ).
thf(f14,plain,
( ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK0
@ ^ [Y0: a,Y1: a] : Y0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f10,plain,
( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEV169^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % 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
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 18:29:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_EQU_NAR problem
% 0.12/0.33 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % (17074)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.34 % (17074)First to succeed.
% 0.12/0.35 % (17074)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (17074)------------------------------
% 0.12/0.35 % (17074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (17074)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (17074)Memory used [KB]: 5500
% 0.12/0.35 % (17074)Time elapsed: 0.003 s
% 0.12/0.35 % (17074)Instructions burned: 1 (million)
% 0.12/0.35 % (17074)------------------------------
% 0.12/0.35 % (17074)------------------------------
% 0.12/0.35 % (17067)Success in time 0.01 s
% 0.12/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------