TSTP Solution File: SEU303+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n025.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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 57 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 19 ~; 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(f335,plain,
$false,
inference(unit_resulting_resolution,[],[f320,f319,f321,f329,f275]) ).
fof(f275,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0))
| ~ function(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f329,plain,
~ finite(relation_image(sK26,relation_dom(sK26))),
inference(backward_demodulation,[],[f318,f327]) ).
fof(f327,plain,
relation_image(sK26,relation_dom(sK26)) = relation_rng(sK26),
inference(resolution,[],[f319,f272]) ).
fof(f272,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( relation_rng(X0) = relation_image(X0,relation_dom(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f318,plain,
~ finite(relation_rng(sK26)),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( finite(relation_dom(sK26))
& function(sK26)
& relation(sK26)
& ~ finite(relation_rng(sK26)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f123,f190]) ).
fof(f190,plain,
( ? [X0] :
( finite(relation_dom(X0))
& function(X0)
& relation(X0)
& ~ finite(relation_rng(X0)) )
=> ( finite(relation_dom(sK26))
& function(sK26)
& relation(sK26)
& ~ finite(relation_rng(sK26)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0] :
( finite(relation_dom(X0))
& function(X0)
& relation(X0)
& ~ finite(relation_rng(X0)) ),
inference(flattening,[],[f122]) ).
fof(f122,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/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f321,plain,
finite(relation_dom(sK26)),
inference(cnf_transformation,[],[f191]) ).
fof(f319,plain,
relation(sK26),
inference(cnf_transformation,[],[f191]) ).
fof(f320,plain,
function(sK26),
inference(cnf_transformation,[],[f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU303+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.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 15:17:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (2621)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.47 % (2613)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (2615)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.47 % (2601)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)
% 0.19/0.47 % (2621)First to succeed.
% 0.19/0.47 % (2615)Instruction limit reached!
% 0.19/0.47 % (2615)------------------------------
% 0.19/0.47 % (2615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (2615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (2615)Termination reason: Unknown
% 0.19/0.47 % (2615)Termination phase: Finite model building preprocessing
% 0.19/0.47
% 0.19/0.47 % (2615)Memory used [KB]: 1535
% 0.19/0.47 % (2615)Time elapsed: 0.005 s
% 0.19/0.47 % (2615)Instructions burned: 4 (million)
% 0.19/0.47 % (2615)------------------------------
% 0.19/0.47 % (2615)------------------------------
% 0.19/0.48 % (2621)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2621)------------------------------
% 0.19/0.48 % (2621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2621)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (2621)Memory used [KB]: 1663
% 0.19/0.48 % (2621)Time elapsed: 0.073 s
% 0.19/0.48 % (2621)Instructions burned: 5 (million)
% 0.19/0.48 % (2621)------------------------------
% 0.19/0.48 % (2621)------------------------------
% 0.19/0.48 % (2597)Success in time 0.131 s
%------------------------------------------------------------------------------