TSTP Solution File: SEU189+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:27:14 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 7 unt; 0 def)
% Number of atoms : 186 ( 63 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 202 ( 87 ~; 86 |; 15 &)
% ( 7 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 19 ( 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f216,plain,
$false,
inference(avatar_sat_refutation,[],[f103,f104,f148,f169,f190,f198,f207,f215]) ).
fof(f215,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_5
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| ~ spl8_1
| spl8_2
| ~ spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f213,f210]) ).
fof(f210,plain,
( empty_set != sK5
| spl8_2
| ~ spl8_5 ),
inference(backward_demodulation,[],[f102,f173]) ).
fof(f173,plain,
( sF7 = sK5
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl8_5
<=> sF7 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f102,plain,
( empty_set != sF7
| spl8_2 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl8_2
<=> empty_set = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f213,plain,
( empty_set = sK5
| ~ spl8_1
| ~ spl8_7 ),
inference(forward_demodulation,[],[f183,f97]) ).
fof(f97,plain,
( empty_set = sF6
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl8_1
<=> empty_set = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f183,plain,
( sF6 = sK5
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl8_7
<=> sF6 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f207,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_5
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f206,plain,
( $false
| spl8_1
| ~ spl8_2
| ~ spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f205,f98]) ).
fof(f98,plain,
( empty_set != sF6
| spl8_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f205,plain,
( empty_set = sF6
| ~ spl8_2
| ~ spl8_5
| ~ spl8_7 ),
inference(forward_demodulation,[],[f183,f202]) ).
fof(f202,plain,
( empty_set = sK5
| ~ spl8_2
| ~ spl8_5 ),
inference(forward_demodulation,[],[f173,f101]) ).
fof(f101,plain,
( empty_set = sF7
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f198,plain,
( spl8_7
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f134,f113,f181]) ).
fof(f113,plain,
( spl8_3
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f134,plain,
( ~ empty(sK5)
| sF6 = sK5 ),
inference(superposition,[],[f125,f91]) ).
fof(f91,plain,
sF6 = relation_rng(sK5),
introduced(function_definition,[]) ).
fof(f125,plain,
! [X0] :
( relation_rng(X0) = X0
| ~ empty(X0) ),
inference(superposition,[],[f78,f89]) ).
fof(f89,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f78,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( empty_set = relation_dom(empty_set)
& empty_set = relation_rng(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f190,plain,
( ~ spl8_3
| spl8_5 ),
inference(avatar_split_clause,[],[f154,f171,f113]) ).
fof(f154,plain,
( sF7 = sK5
| ~ empty(sK5) ),
inference(superposition,[],[f92,f124]) ).
fof(f124,plain,
! [X0] :
( relation_dom(X0) = X0
| ~ empty(X0) ),
inference(superposition,[],[f79,f89]) ).
fof(f79,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f92,plain,
relation_dom(sK5) = sF7,
introduced(function_definition,[]) ).
fof(f169,plain,
( ~ spl8_1
| spl8_3 ),
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| ~ spl8_1
| spl8_3 ),
inference(subsumption_resolution,[],[f167,f115]) ).
fof(f115,plain,
( ~ empty(sK5)
| spl8_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f167,plain,
( empty(sK5)
| ~ spl8_1 ),
inference(subsumption_resolution,[],[f166,f61]) ).
fof(f61,plain,
empty(empty_set),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f166,plain,
( ~ empty(empty_set)
| empty(sK5)
| ~ spl8_1 ),
inference(subsumption_resolution,[],[f164,f81]) ).
fof(f81,plain,
relation(sK5),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( empty_set != relation_rng(sK5)
| empty_set != relation_dom(sK5) )
& ( empty_set = relation_rng(sK5)
| empty_set = relation_dom(sK5) )
& relation(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f58,f59]) ).
fof(f59,plain,
( ? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) )
=> ( ( empty_set != relation_rng(sK5)
| empty_set != relation_dom(sK5) )
& ( empty_set = relation_rng(sK5)
| empty_set = relation_dom(sK5) )
& relation(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ( relation_dom(X0) = empty_set
<~> relation_rng(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f164,plain,
( ~ relation(sK5)
| empty(sK5)
| ~ empty(empty_set)
| ~ spl8_1 ),
inference(superposition,[],[f90,f149]) ).
fof(f149,plain,
( empty_set = relation_rng(sK5)
| ~ spl8_1 ),
inference(backward_demodulation,[],[f91,f97]) ).
fof(f90,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f148,plain,
( ~ spl8_2
| spl8_3 ),
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| ~ spl8_2
| spl8_3 ),
inference(subsumption_resolution,[],[f146,f115]) ).
fof(f146,plain,
( empty(sK5)
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f145,f61]) ).
fof(f145,plain,
( ~ empty(empty_set)
| empty(sK5)
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f142,f81]) ).
fof(f142,plain,
( ~ relation(sK5)
| ~ empty(empty_set)
| empty(sK5)
| ~ spl8_2 ),
inference(superposition,[],[f74,f105]) ).
fof(f105,plain,
( empty_set = relation_dom(sK5)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f92,f101]) ).
fof(f74,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| empty(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f104,plain,
( spl8_2
| spl8_1 ),
inference(avatar_split_clause,[],[f94,f96,f100]) ).
fof(f94,plain,
( empty_set = sF6
| empty_set = sF7 ),
inference(definition_folding,[],[f82,f92,f91]) ).
fof(f82,plain,
( empty_set = relation_rng(sK5)
| empty_set = relation_dom(sK5) ),
inference(cnf_transformation,[],[f60]) ).
fof(f103,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f93,f100,f96]) ).
fof(f93,plain,
( empty_set != sF7
| empty_set != sF6 ),
inference(definition_folding,[],[f83,f92,f91]) ).
fof(f83,plain,
( empty_set != relation_rng(sK5)
| empty_set != relation_dom(sK5) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:45:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (26414)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (26430)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (26435)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (26416)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (26419)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (26414)First to succeed.
% 0.19/0.51 % (26430)Also succeeded, but the first one will report.
% 0.19/0.51 % (26414)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 % (26414)------------------------------
% 0.19/0.51 % (26414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26414)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (26414)Memory used [KB]: 6012
% 0.19/0.51 % (26414)Time elapsed: 0.098 s
% 0.19/0.51 % (26414)Instructions burned: 4 (million)
% 0.19/0.51 % (26414)------------------------------
% 0.19/0.51 % (26414)------------------------------
% 0.19/0.51 % (26413)Success in time 0.158 s
%------------------------------------------------------------------------------