TSTP Solution File: SEU189+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n028.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 18:32:25 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 10 unt; 0 def)
% Number of atoms : 146 ( 55 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 151 ( 64 ~; 61 |; 14 &)
% ( 4 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(avatar_sat_refutation,[],[f104,f105,f152,f166]) ).
fof(f166,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f163,f116]) ).
fof(f116,plain,
sK1 = relation_rng(sK1),
inference(backward_demodulation,[],[f90,f111]) ).
fof(f111,plain,
empty_set = sK1,
inference(resolution,[],[f78,f72]) ).
fof(f72,plain,
empty(sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
empty(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f53]) ).
fof(f53,plain,
( ? [X0] : empty(X0)
=> empty(sK1) ),
introduced(choice_axiom,[]) ).
fof(f13,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f78,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f90,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( empty_set = relation_rng(empty_set)
& empty_set = relation_dom(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f163,plain,
( sK1 != relation_rng(sK1)
| ~ spl6_1
| spl6_2 ),
inference(backward_demodulation,[],[f153,f159]) ).
fof(f159,plain,
( sK1 = sK0
| ~ spl6_1 ),
inference(resolution,[],[f158,f114]) ).
fof(f114,plain,
! [X0] :
( ~ empty(X0)
| sK1 = X0 ),
inference(backward_demodulation,[],[f78,f111]) ).
fof(f158,plain,
( empty(sK0)
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f157,f72]) ).
fof(f157,plain,
( ~ empty(sK1)
| empty(sK0)
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f156,f68]) ).
fof(f68,plain,
relation(sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( relation(sK0)
& ( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) )
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f50,f51]) ).
fof(f51,plain,
( ? [X0] :
( relation(X0)
& ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set ) )
=> ( relation(sK0)
& ( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) )
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( relation(X0)
& ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( relation(X0)
& ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
? [X0] :
( relation(X0)
& ( relation_dom(X0) = empty_set
<~> relation_rng(X0) = empty_set ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_rng(X0) = empty_set
<=> relation_dom(X0) = empty_set ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = empty_set
<=> relation_dom(X0) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f156,plain,
( ~ relation(sK0)
| empty(sK0)
| ~ empty(sK1)
| ~ spl6_1 ),
inference(superposition,[],[f91,f154]) ).
fof(f154,plain,
( sK1 = relation_dom(sK0)
| ~ spl6_1 ),
inference(forward_demodulation,[],[f99,f111]) ).
fof(f99,plain,
( empty_set = relation_dom(sK0)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl6_1
<=> empty_set = relation_dom(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f91,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| empty(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,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/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f153,plain,
( sK1 != relation_rng(sK0)
| spl6_2 ),
inference(forward_demodulation,[],[f102,f111]) ).
fof(f102,plain,
( empty_set != relation_rng(sK0)
| spl6_2 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl6_2
<=> empty_set = relation_rng(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f152,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| spl6_1
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f148,f115]) ).
fof(f115,plain,
relation_dom(sK1) = sK1,
inference(backward_demodulation,[],[f89,f111]) ).
fof(f89,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f148,plain,
( relation_dom(sK1) != sK1
| spl6_1
| ~ spl6_2 ),
inference(backward_demodulation,[],[f119,f145]) ).
fof(f145,plain,
( sK1 = sK0
| ~ spl6_2 ),
inference(resolution,[],[f144,f114]) ).
fof(f144,plain,
( empty(sK0)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f143,f68]) ).
fof(f143,plain,
( empty(sK0)
| ~ relation(sK0)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f141,f72]) ).
fof(f141,plain,
( empty(sK0)
| ~ empty(sK1)
| ~ relation(sK0)
| ~ spl6_2 ),
inference(superposition,[],[f83,f120]) ).
fof(f120,plain,
( sK1 = relation_rng(sK0)
| ~ spl6_2 ),
inference(backward_demodulation,[],[f103,f111]) ).
fof(f103,plain,
( empty_set = relation_rng(sK0)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f83,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f119,plain,
( sK1 != relation_dom(sK0)
| spl6_1 ),
inference(backward_demodulation,[],[f98,f111]) ).
fof(f98,plain,
( empty_set != relation_dom(sK0)
| spl6_1 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f105,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f67,f97,f101]) ).
fof(f67,plain,
( empty_set != relation_dom(sK0)
| empty_set != relation_rng(sK0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f66,f101,f97]) ).
fof(f66,plain,
( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n028.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 : Tue Aug 30 14:57:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (4296)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.46 % (4287)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.47 % (4296)First to succeed.
% 0.19/0.47 % (4296)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (4296)------------------------------
% 0.19/0.47 % (4296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (4296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (4296)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (4296)Memory used [KB]: 5500
% 0.19/0.47 % (4296)Time elapsed: 0.076 s
% 0.19/0.47 % (4296)Instructions burned: 4 (million)
% 0.19/0.47 % (4296)------------------------------
% 0.19/0.47 % (4296)------------------------------
% 0.19/0.47 % (4275)Success in time 0.126 s
%------------------------------------------------------------------------------