TSTP Solution File: SEU303+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU303+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 : n010.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 18:33:07 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 66 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 24 ~; 17 |; 18 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(subsumption_resolution,[],[f464,f247]) ).
fof(f247,plain,
~ finite(relation_rng(sK12)),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( function(sK12)
& finite(relation_dom(sK12))
& ~ finite(relation_rng(sK12))
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f104,f156]) ).
fof(f156,plain,
( ? [X0] :
( function(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0))
& relation(X0) )
=> ( function(sK12)
& finite(relation_dom(sK12))
& ~ finite(relation_rng(sK12))
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0] :
( function(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0))
& relation(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f464,plain,
finite(relation_rng(sK12)),
inference(subsumption_resolution,[],[f463,f249]) ).
fof(f249,plain,
function(sK12),
inference(cnf_transformation,[],[f157]) ).
fof(f463,plain,
( ~ function(sK12)
| finite(relation_rng(sK12)) ),
inference(subsumption_resolution,[],[f462,f248]) ).
fof(f248,plain,
finite(relation_dom(sK12)),
inference(cnf_transformation,[],[f157]) ).
fof(f462,plain,
( ~ finite(relation_dom(sK12))
| finite(relation_rng(sK12))
| ~ function(sK12) ),
inference(subsumption_resolution,[],[f461,f246]) ).
fof(f246,plain,
relation(sK12),
inference(cnf_transformation,[],[f157]) ).
fof(f461,plain,
( ~ relation(sK12)
| ~ function(sK12)
| finite(relation_rng(sK12))
| ~ finite(relation_dom(sK12)) ),
inference(superposition,[],[f226,f455]) ).
fof(f455,plain,
relation_rng(sK12) = relation_image(sK12,relation_dom(sK12)),
inference(resolution,[],[f321,f246]) ).
fof(f321,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f226,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ relation(X1)
| finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU303+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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 : n010.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 15:00:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12936)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 % (12946)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)
% 0.19/0.50 % (12944)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)
% 0.19/0.50 % (12938)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)
% 0.19/0.50 % (12930)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)
% 0.19/0.51 % (12952)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (12946)First to succeed.
% 0.19/0.51 % (12925)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (12931)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 TRYING [3]
% 0.19/0.52 % (12946)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (12946)------------------------------
% 0.19/0.52 % (12946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12946)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (12946)Memory used [KB]: 1151
% 0.19/0.52 % (12946)Time elapsed: 0.058 s
% 0.19/0.52 % (12946)Instructions burned: 10 (million)
% 0.19/0.52 % (12946)------------------------------
% 0.19/0.52 % (12946)------------------------------
% 0.19/0.52 % (12923)Success in time 0.167 s
%------------------------------------------------------------------------------