TSTP Solution File: SEV168^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.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 Jun 24 16:02:05 EDT 2024
% Result : Theorem 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 22 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 79 ( 7 ~; 0 |; 8 &; 60 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 75 ( 75 ^ 0 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
q: ( a > a > a ) > a ).
thf(func_def_2,type,
p: ( a > a > a ) > a ).
thf(f12,plain,
$false,
inference(subsumption_resolution,[],[f10,f11]) ).
thf(f11,plain,
( q
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(definition_unfolding,[],[f9,f8]) ).
thf(f8,plain,
( p
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
( ( q
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( q != p )
& ( p
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
( ( q != p )
& ( p
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( q
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ( ( p
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( q
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
=> ( q = p ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ( q
= ( ^ [X0: a > a > a] :
( X0
@ ( q
@ ^ [X1: a,X2: a] : X1 )
@ ( q
@ ^ [X3: a,X4: a] : X4 ) ) ) )
& ( p
= ( ^ [X5: a > a > a] :
( X5
@ ( q
@ ^ [X6: a,X7: a] : X6 )
@ ( q
@ ^ [X8: a,X9: a] : X9 ) ) ) ) )
=> ( q = p ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( q
= ( ^ [X0: a > a > a] :
( X0
@ ( q
@ ^ [X1: a,X2: a] : X1 )
@ ( q
@ ^ [X1: a,X2: a] : X2 ) ) ) )
& ( p
= ( ^ [X0: a > a > a] :
( X0
@ ( q
@ ^ [X1: a,X2: a] : X1 )
@ ( q
@ ^ [X1: a,X2: a] : X2 ) ) ) ) )
=> ( q = p ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( q
= ( ^ [X0: a > a > a] :
( X0
@ ( q
@ ^ [X1: a,X2: a] : X1 )
@ ( q
@ ^ [X1: a,X2: a] : X2 ) ) ) )
& ( p
= ( ^ [X0: a > a > a] :
( X0
@ ( q
@ ^ [X1: a,X2: a] : X1 )
@ ( q
@ ^ [X1: a,X2: a] : X2 ) ) ) ) )
=> ( q = p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM188_PARTIAL_pme) ).
thf(f9,plain,
q != p,
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( q
= ( ^ [Y0: a > a > a] :
( Y0
@ ( q
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( q
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 19:16:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (17655)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)
% 0.12/0.38 % (17656)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)
% 0.12/0.38 % (17658)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)
% 0.12/0.38 % (17654)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (17659)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)
% 0.12/0.38 % (17660)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.39 % (17657)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (17658)Instruction limit reached!
% 0.12/0.39 % (17658)------------------------------
% 0.12/0.39 % (17658)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (17658)Termination reason: Unknown
% 0.12/0.39 % (17658)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (17658)Memory used [KB]: 5373
% 0.12/0.39 % (17658)Time elapsed: 0.004 s
% 0.12/0.39 % (17658)Instructions burned: 2 (million)
% 0.12/0.39 % (17658)------------------------------
% 0.12/0.39 % (17658)------------------------------
% 0.12/0.39 % (17655)First to succeed.
% 0.12/0.39 % (17659)Also succeeded, but the first one will report.
% 0.12/0.39 % (17655)Refutation found. Thanks to Tanya!
% 0.12/0.39 % SZS status Theorem for theBenchmark
% 0.12/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.39 % (17655)------------------------------
% 0.12/0.39 % (17655)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (17655)Termination reason: Refutation
% 0.12/0.39
% 0.12/0.39 % (17655)Memory used [KB]: 5500
% 0.12/0.39 % (17655)Time elapsed: 0.004 s
% 0.12/0.39 % (17655)Instructions burned: 1 (million)
% 0.12/0.39 % (17655)------------------------------
% 0.12/0.39 % (17655)------------------------------
% 0.12/0.39 % (17653)Success in time 0.019 s
%------------------------------------------------------------------------------