TSTP Solution File: SYN047+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n023.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 19:36:39 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 64 ( 8 unt; 0 def)
% Number of atoms : 237 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 271 ( 98 ~; 130 |; 32 &)
% ( 4 <=>; 4 =>; 0 <=; 3 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,plain,
$false,
inference(subsumption_resolution,[],[f70,f61]) ).
fof(f61,plain,
~ sP0,
inference(resolution,[],[f56,f37]) ).
fof(f37,plain,
( ~ sP1
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f23,plain,
( sP1
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ( r
& ~ s
& p )
| ~ sP0
| ~ sP1 )
& ( ( ( ~ r
| s
| ~ p )
& sP0 )
| sP1 ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
( ( ( r
& ~ s
& p )
| ~ sP0
| ~ sP1 )
& ( ( ( ~ r
| s
| ~ p )
& sP0 )
| sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( sP1
<~> ( ( ~ r
| s
| ~ p )
& sP0 ) ),
inference(definition_folding,[],[f4,f6,f5]) ).
fof(f5,plain,
( sP0
<=> ( q
| ~ p
| s ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,plain,
( sP1
<=> ( s
| ( ~ r
& q )
| ~ p ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4,plain,
( ( s
| ( ~ r
& q )
| ~ p )
<~> ( ( ~ r
| s
| ~ p )
& ( q
| ~ p
| s ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
( ( s
| ~ p
| ( ~ r
& q ) )
<~> ( ( ~ r
| s
| ~ p )
& ( q
| ~ p
| s ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ r
| s
| ~ p )
& ( q
| ~ p
| s ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ r
| s
| ~ p )
& ( q
| ~ p
| s ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel17) ).
fof(f56,plain,
sP1,
inference(subsumption_resolution,[],[f55,f43]) ).
fof(f43,plain,
~ p,
inference(subsumption_resolution,[],[f42,f29]) ).
fof(f29,plain,
( ~ sP0
| ~ p ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f21,plain,
( p
| sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( sP0
| ( ~ q
& p
& ~ s ) )
& ( q
| ~ p
| s
| ~ sP0 ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ( sP0
| ( ~ q
& p
& ~ s ) )
& ( q
| ~ p
| s
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f42,plain,
( sP0
| ~ p ),
inference(subsumption_resolution,[],[f38,f33]) ).
fof(f33,plain,
( ~ sP1
| ~ p ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f16,plain,
( p
| sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( sP1
| ( ~ s
& ( r
| ~ q )
& p ) )
& ( s
| ( ~ r
& q )
| ~ p
| ~ sP1 ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ( sP1
| ( ~ s
& ( r
| ~ q )
& p ) )
& ( s
| ( ~ r
& q )
| ~ p
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f38,plain,
( sP1
| sP0
| ~ p ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f25,plain,
( ~ sP0
| p
| ~ sP1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f55,plain,
( sP1
| p ),
inference(subsumption_resolution,[],[f54,f51]) ).
fof(f51,plain,
~ s,
inference(subsumption_resolution,[],[f50,f35]) ).
fof(f35,plain,
( ~ sP1
| ~ s ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f18,plain,
( ~ s
| sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
( sP1
| ~ s ),
inference(resolution,[],[f40,f47]) ).
fof(f47,plain,
( sP0
| sP1 ),
inference(subsumption_resolution,[],[f46,f32]) ).
fof(f32,plain,
( ~ s
| sP0
| sP1 ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f26,plain,
( ~ sP1
| ~ sP0
| ~ s ),
inference(cnf_transformation,[],[f13]) ).
fof(f46,plain,
( sP0
| sP1
| s ),
inference(duplicate_literal_removal,[],[f45]) ).
fof(f45,plain,
( s
| sP1
| sP1
| sP0 ),
inference(resolution,[],[f44,f28]) ).
fof(f28,plain,
( ~ r
| sP1
| sP0 ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f27,plain,
( r
| ~ sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f44,plain,
( r
| s
| sP1 ),
inference(subsumption_resolution,[],[f41,f43]) ).
fof(f41,plain,
( s
| p
| r
| sP1 ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f15,plain,
( ~ r
| s
| ~ p
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
( ~ sP0
| ~ s ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f20,plain,
( sP0
| ~ s ),
inference(cnf_transformation,[],[f11]) ).
fof(f54,plain,
( sP1
| s
| p ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f53,plain,
( s
| sP1
| p
| sP1 ),
inference(resolution,[],[f39,f48]) ).
fof(f48,plain,
( ~ q
| sP1 ),
inference(resolution,[],[f47,f34]) ).
fof(f34,plain,
( ~ sP0
| ~ q ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f22,plain,
( sP0
| ~ q ),
inference(cnf_transformation,[],[f11]) ).
fof(f39,plain,
( q
| sP1
| p
| s ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f14,plain,
( ~ sP1
| s
| q
| ~ p ),
inference(cnf_transformation,[],[f9]) ).
fof(f70,plain,
sP0,
inference(subsumption_resolution,[],[f69,f51]) ).
fof(f69,plain,
( s
| sP0 ),
inference(subsumption_resolution,[],[f68,f43]) ).
fof(f68,plain,
( p
| s
| sP0 ),
inference(resolution,[],[f64,f30]) ).
fof(f30,plain,
( q
| s
| p
| sP0 ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f19,plain,
( ~ sP0
| ~ p
| s
| q ),
inference(cnf_transformation,[],[f11]) ).
fof(f64,plain,
~ q,
inference(subsumption_resolution,[],[f57,f63]) ).
fof(f63,plain,
r,
inference(subsumption_resolution,[],[f62,f43]) ).
fof(f62,plain,
( p
| r ),
inference(subsumption_resolution,[],[f59,f51]) ).
fof(f59,plain,
( r
| s
| p ),
inference(resolution,[],[f56,f36]) ).
fof(f36,plain,
( ~ sP1
| r
| p
| s ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f24,plain,
( sP1
| ~ r
| s
| ~ p ),
inference(cnf_transformation,[],[f13]) ).
fof(f57,plain,
( ~ q
| ~ r ),
inference(resolution,[],[f56,f31]) ).
fof(f31,plain,
( ~ sP1
| ~ q
| ~ r ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f17,plain,
( sP1
| r
| ~ q ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 21:45:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (27420)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51 % (27428)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.52 % (27428)First to succeed.
% 0.20/0.52 % (27428)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (27428)------------------------------
% 0.20/0.52 % (27428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (27428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27428)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (27428)Memory used [KB]: 895
% 0.20/0.52 % (27428)Time elapsed: 0.114 s
% 0.20/0.52 % (27428)Instructions burned: 2 (million)
% 0.20/0.52 % (27428)------------------------------
% 0.20/0.52 % (27428)------------------------------
% 0.20/0.52 % (27408)Success in time 0.164 s
%------------------------------------------------------------------------------