TSTP Solution File: SEU303+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU303+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 : n012.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 18:28:33 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 58 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 18 ~; 11 |; 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(f36,plain,
$false,
inference(subsumption_resolution,[],[f35,f22]) ).
fof(f22,plain,
~ finite(relation_rng(sK0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( finite(relation_dom(sK0))
& relation(sK0)
& ~ finite(relation_rng(sK0))
& function(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
( finite(relation_dom(X0))
& relation(X0)
& ~ finite(relation_rng(X0))
& function(X0) )
=> ( finite(relation_dom(sK0))
& relation(sK0)
& ~ finite(relation_rng(sK0))
& function(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( finite(relation_dom(X0))
& relation(X0)
& ~ finite(relation_rng(X0))
& function(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f35,plain,
finite(relation_rng(sK0)),
inference(forward_demodulation,[],[f34,f30]) ).
fof(f30,plain,
relation_rng(sK0) = relation_image(sK0,relation_dom(sK0)),
inference(unit_resulting_resolution,[],[f23,f27]) ).
fof(f27,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f23,plain,
relation(sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
finite(relation_image(sK0,relation_dom(sK0))),
inference(unit_resulting_resolution,[],[f21,f23,f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ function(X1)
| ~ relation(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ finite(X0)
| ~ function(X1)
| finite(relation_image(X1,X0)) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f24,plain,
finite(relation_dom(sK0)),
inference(cnf_transformation,[],[f18]) ).
fof(f21,plain,
function(sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU303+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
% 0.13/0.34 % Computer : n012.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 15:07:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (13654)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (13664)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (13653)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)
% 0.20/0.51 % (13653)Refutation not found, incomplete strategy% (13653)------------------------------
% 0.20/0.51 % (13653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13653)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (13653)Memory used [KB]: 5884
% 0.20/0.51 % (13653)Time elapsed: 0.105 s
% 0.20/0.51 % (13653)Instructions burned: 2 (million)
% 0.20/0.51 % (13653)------------------------------
% 0.20/0.51 % (13653)------------------------------
% 0.20/0.52 % (13670)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (13654)First to succeed.
% 0.20/0.52 % (13665)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (13665)Also succeeded, but the first one will report.
% 0.20/0.52 % (13670)Refutation not found, incomplete strategy% (13670)------------------------------
% 0.20/0.52 % (13670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (13670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (13670)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (13670)Memory used [KB]: 5884
% 0.20/0.52 % (13670)Time elapsed: 0.120 s
% 0.20/0.52 % (13670)Instructions burned: 2 (million)
% 0.20/0.52 % (13670)------------------------------
% 0.20/0.52 % (13670)------------------------------
% 0.20/0.52 % (13654)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 % (13654)------------------------------
% 0.20/0.52 % (13654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (13654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (13654)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (13654)Memory used [KB]: 5884
% 0.20/0.52 % (13654)Time elapsed: 0.105 s
% 0.20/0.52 % (13654)Instructions burned: 2 (million)
% 0.20/0.52 % (13654)------------------------------
% 0.20/0.52 % (13654)------------------------------
% 0.20/0.52 % (13650)Success in time 0.167 s
%------------------------------------------------------------------------------