TSTP Solution File: SEU219+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU219+3 : 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 : n020.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 18:32:36 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 8 unt; 0 def)
% Number of atoms : 107 ( 35 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 105 ( 38 ~; 32 |; 22 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f413,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f387,f403,f406,f411,f412]) ).
fof(f412,plain,
( spl13_1
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f407,f380,f176]) ).
fof(f176,plain,
( spl13_1
<=> relation_rng(function_inverse(sK4)) = relation_dom(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f380,plain,
( spl13_20
<=> function_inverse(sK4) = relation_inverse(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f407,plain,
( relation_rng(function_inverse(sK4)) = relation_dom(sK4)
| ~ spl13_20 ),
inference(backward_demodulation,[],[f276,f382]) ).
fof(f382,plain,
( function_inverse(sK4) = relation_inverse(sK4)
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f276,plain,
relation_rng(relation_inverse(sK4)) = relation_dom(sK4),
inference(resolution,[],[f122,f143]) ).
fof(f143,plain,
relation(sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( function(sK4)
& relation(sK4)
& ( relation_rng(sK4) != relation_dom(function_inverse(sK4))
| relation_rng(function_inverse(sK4)) != relation_dom(sK4) )
& one_to_one(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f59,f93]) ).
fof(f93,plain,
( ? [X0] :
( function(X0)
& relation(X0)
& ( relation_rng(X0) != relation_dom(function_inverse(X0))
| relation_dom(X0) != relation_rng(function_inverse(X0)) )
& one_to_one(X0) )
=> ( function(sK4)
& relation(sK4)
& ( relation_rng(sK4) != relation_dom(function_inverse(sK4))
| relation_rng(function_inverse(sK4)) != relation_dom(sK4) )
& one_to_one(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( relation_rng(X0) != relation_dom(function_inverse(X0))
| relation_dom(X0) != relation_rng(function_inverse(X0)) )
& one_to_one(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0] :
( ( relation_rng(X0) != relation_dom(function_inverse(X0))
| relation_dom(X0) != relation_rng(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f122,plain,
! [X0] :
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f411,plain,
( spl13_2
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f408,f380,f180]) ).
fof(f180,plain,
( spl13_2
<=> relation_rng(sK4) = relation_dom(function_inverse(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f408,plain,
( relation_rng(sK4) = relation_dom(function_inverse(sK4))
| ~ spl13_20 ),
inference(backward_demodulation,[],[f264,f382]) ).
fof(f264,plain,
relation_rng(sK4) = relation_dom(relation_inverse(sK4)),
inference(resolution,[],[f121,f143]) ).
fof(f121,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f406,plain,
spl13_21,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| spl13_21 ),
inference(resolution,[],[f386,f144]) ).
fof(f144,plain,
function(sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f386,plain,
( ~ function(sK4)
| spl13_21 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl13_21
<=> function(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f403,plain,
spl13_19,
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| spl13_19 ),
inference(resolution,[],[f378,f143]) ).
fof(f378,plain,
( ~ relation(sK4)
| spl13_19 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl13_19
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f387,plain,
( ~ spl13_19
| spl13_20
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f371,f384,f380,f376]) ).
fof(f371,plain,
( ~ function(sK4)
| function_inverse(sK4) = relation_inverse(sK4)
| ~ relation(sK4) ),
inference(resolution,[],[f153,f141]) ).
fof(f141,plain,
one_to_one(sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f153,plain,
! [X0] :
( ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f183,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f142,f180,f176]) ).
fof(f142,plain,
( relation_rng(sK4) != relation_dom(function_inverse(sK4))
| relation_rng(function_inverse(sK4)) != relation_dom(sK4) ),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 14:53:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28102)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (28094)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (28106)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (28094)First to succeed.
% 0.20/0.52 % (28098)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (28090)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (28110)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (28097)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (28094)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (28094)------------------------------
% 0.20/0.53 % (28094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28094)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (28094)Memory used [KB]: 5628
% 0.20/0.53 % (28094)Time elapsed: 0.103 s
% 0.20/0.53 % (28094)Instructions burned: 8 (million)
% 0.20/0.53 % (28094)------------------------------
% 0.20/0.53 % (28094)------------------------------
% 0.20/0.53 % (28082)Success in time 0.172 s
%------------------------------------------------------------------------------