TSTP Solution File: SET985+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 18:26:16 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 14 unt; 0 def)
% Number of atoms : 139 ( 33 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 45 ~; 56 |; 6 &)
% ( 11 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 56 ( 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f413,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f76,f81,f107,f128,f240,f272,f282,f301,f412]) ).
fof(f412,plain,
( spl10_29
| ~ spl10_1
| ~ spl10_32 ),
inference(avatar_split_clause,[],[f410,f270,f37,f237]) ).
fof(f237,plain,
( spl10_29
<=> subset(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
fof(f37,plain,
( spl10_1
<=> subset(sF6,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f270,plain,
( spl10_32
<=> ! [X6,X7] :
( subset(sK3,X7)
| ~ subset(sF6,cartesian_product2(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
fof(f410,plain,
( ~ subset(sF6,sF7)
| subset(sK3,sK5)
| ~ spl10_32 ),
inference(superposition,[],[f271,f32]) ).
fof(f32,plain,
cartesian_product2(sK4,sK5) = sF7,
introduced(function_definition,[]) ).
fof(f271,plain,
( ! [X6,X7] :
( ~ subset(sF6,cartesian_product2(X6,X7))
| subset(sK3,X7) )
| ~ spl10_32 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f301,plain,
~ spl10_8,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| ~ spl10_8 ),
inference(resolution,[],[f289,f28]) ).
fof(f28,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f289,plain,
( ~ subset(empty_set,sK5)
| ~ spl10_8 ),
inference(superposition,[],[f25,f75]) ).
fof(f75,plain,
( empty_set = sK3
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl10_8
<=> empty_set = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f25,plain,
~ subset(sK3,sK5),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X0] :
( ? [X1,X2,X3] :
( ( subset(cartesian_product2(X1,X0),cartesian_product2(X3,X2))
| subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) )
& ~ subset(X1,X3) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ! [X1,X3,X2] :
( ( subset(cartesian_product2(X1,X0),cartesian_product2(X3,X2))
| subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) )
=> subset(X1,X3) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0] :
( ~ empty(X0)
=> ! [X1,X3,X2] :
( ( subset(cartesian_product2(X1,X0),cartesian_product2(X3,X2))
| subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) )
=> subset(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t139_zfmisc_1) ).
fof(f282,plain,
~ spl10_29,
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl10_29 ),
inference(resolution,[],[f239,f25]) ).
fof(f239,plain,
( subset(sK3,sK5)
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f272,plain,
( spl10_9
| spl10_32 ),
inference(avatar_split_clause,[],[f255,f270,f78]) ).
fof(f78,plain,
( spl10_9
<=> empty_set = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f255,plain,
! [X6,X7] :
( subset(sK3,X7)
| empty_set = sF6
| ~ subset(sF6,cartesian_product2(X6,X7)) ),
inference(superposition,[],[f23,f31]) ).
fof(f31,plain,
sF6 = cartesian_product2(sK2,sK3),
introduced(function_definition,[]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ subset(cartesian_product2(X2,X1),cartesian_product2(X0,X3))
| empty_set = cartesian_product2(X2,X1)
| subset(X1,X3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X2,X1,X3] :
( ( subset(X1,X3)
& subset(X2,X0) )
| ~ subset(cartesian_product2(X2,X1),cartesian_product2(X0,X3))
| empty_set = cartesian_product2(X2,X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X3,X2] :
( ( subset(X1,X3)
& subset(X2,X0) )
| empty_set = cartesian_product2(X2,X1)
| ~ subset(cartesian_product2(X2,X1),cartesian_product2(X0,X3)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X3,X2] :
( subset(cartesian_product2(X2,X1),cartesian_product2(X0,X3))
=> ( ( subset(X1,X3)
& subset(X2,X0) )
| empty_set = cartesian_product2(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0,X3] :
( subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
=> ( empty_set = cartesian_product2(X0,X1)
| ( subset(X0,X2)
& subset(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
fof(f240,plain,
( ~ spl10_2
| spl10_29
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f147,f105,f237,f41]) ).
fof(f41,plain,
( spl10_2
<=> subset(sF8,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f105,plain,
( spl10_12
<=> ! [X9,X8] :
( ~ subset(sF8,cartesian_product2(X8,X9))
| subset(sK3,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f147,plain,
( subset(sK3,sK5)
| ~ subset(sF8,sF9)
| ~ spl10_12 ),
inference(superposition,[],[f106,f34]) ).
fof(f34,plain,
cartesian_product2(sK5,sK4) = sF9,
introduced(function_definition,[]) ).
fof(f106,plain,
( ! [X8,X9] :
( ~ subset(sF8,cartesian_product2(X8,X9))
| subset(sK3,X8) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f128,plain,
~ spl10_7,
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl10_7 ),
inference(resolution,[],[f124,f17]) ).
fof(f17,plain,
empty(empty_set),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f124,plain,
( ~ empty(empty_set)
| ~ spl10_7 ),
inference(superposition,[],[f26,f71]) ).
fof(f71,plain,
( empty_set = sK2
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl10_7
<=> empty_set = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f26,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f13]) ).
fof(f107,plain,
( spl10_6
| spl10_12 ),
inference(avatar_split_clause,[],[f91,f105,f65]) ).
fof(f65,plain,
( spl10_6
<=> empty_set = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f91,plain,
! [X8,X9] :
( ~ subset(sF8,cartesian_product2(X8,X9))
| empty_set = sF8
| subset(sK3,X8) ),
inference(superposition,[],[f22,f33]) ).
fof(f33,plain,
cartesian_product2(sK3,sK2) = sF8,
introduced(function_definition,[]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ subset(cartesian_product2(X2,X1),cartesian_product2(X0,X3))
| empty_set = cartesian_product2(X2,X1)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f81,plain,
( ~ spl10_9
| spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f47,f73,f69,f78]) ).
fof(f47,plain,
( empty_set = sK3
| empty_set = sK2
| empty_set != sF6 ),
inference(superposition,[],[f19,f31]) ).
fof(f19,plain,
! [X0,X1] :
( empty_set != cartesian_product2(X1,X0)
| empty_set = X0
| empty_set = X1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( empty_set = cartesian_product2(X1,X0)
<=> ( empty_set = X0
| empty_set = X1 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( empty_set = cartesian_product2(X0,X1)
<=> ( empty_set = X0
| empty_set = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
fof(f76,plain,
( ~ spl10_6
| spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f48,f73,f69,f65]) ).
fof(f48,plain,
( empty_set = sK3
| empty_set = sK2
| empty_set != sF8 ),
inference(superposition,[],[f19,f33]) ).
fof(f44,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f35,plain,
( subset(sF8,sF9)
| subset(sF6,sF7) ),
inference(definition_folding,[],[f24,f34,f33,f32,f31]) ).
fof(f24,plain,
( subset(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5))
| subset(cartesian_product2(sK3,sK2),cartesian_product2(sK5,sK4)) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:32:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (15385)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (15396)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (15393)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (15383)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (15388)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (15383)First to succeed.
% 0.19/0.51 % (15383)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (15383)------------------------------
% 0.19/0.51 % (15383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (15383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (15383)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (15383)Memory used [KB]: 5628
% 0.19/0.51 % (15383)Time elapsed: 0.115 s
% 0.19/0.51 % (15383)Instructions burned: 6 (million)
% 0.19/0.51 % (15383)------------------------------
% 0.19/0.51 % (15383)------------------------------
% 0.19/0.51 % (15376)Success in time 0.158 s
%------------------------------------------------------------------------------