TSTP Solution File: SYN050+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN050+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_uns --cores 0 -t %d %s
% Computer : n017.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 19:25:19 EDT 2022
% Result : Theorem 1.40s 0.55s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 68 ( 23 ~; 15 |; 20 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 57 ( 41 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(subsumption_resolution,[],[f14,f11]) ).
fof(f11,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0,X1] :
( ! [X2] : ~ big_r(X2)
& big_p(X0)
& big_q(X1) )
& ! [X3,X4] :
( ~ big_p(X4)
| big_r(sK0(X3,X4))
| ~ big_q(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
! [X3,X4] :
( ? [X5] :
( ~ big_p(X4)
| big_r(X5)
| ~ big_q(X3) )
=> ( ~ big_p(X4)
| big_r(sK0(X3,X4))
| ~ big_q(X3) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0,X1] :
( ! [X2] : ~ big_r(X2)
& big_p(X0)
& big_q(X1) )
& ! [X3,X4] :
? [X5] :
( ~ big_p(X4)
| big_r(X5)
| ~ big_q(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X4,X5] :
( ! [X6] : ~ big_r(X6)
& big_p(X4)
& big_q(X5) )
& ! [X1,X0] :
? [X2] :
! [X3] :
( ~ big_p(X0)
| big_r(X2)
| ~ big_q(X1) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X4,X5] :
( ! [X6] : ~ big_r(X6)
& big_p(X4)
& big_q(X5) )
& ! [X0,X1] :
? [X2] :
! [X3] :
( big_r(X2)
| ~ big_q(X1)
| ~ big_p(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0,X1] :
? [X2] :
! [X3] :
( ( big_q(X1)
& big_p(X0) )
=> big_r(X2) )
=> ? [X4,X5] :
( ( big_p(X4)
& big_q(X5) )
=> ? [X6] : big_r(X6) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
? [X2] :
! [X3] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_s(X3)
& big_r(X2) ) )
=> ? [X4,X5] :
( ( big_p(X4)
& big_q(X5) )
=> ? [X6] : big_r(X6) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0,X1] :
? [X2] :
! [X3] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_s(X3)
& big_r(X2) ) )
=> ? [X4,X5] :
( ( big_p(X4)
& big_q(X5) )
=> ? [X6] : big_r(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel20) ).
fof(f14,plain,
! [X4] : ~ big_p(X4),
inference(subsumption_resolution,[],[f13,f12]) ).
fof(f12,plain,
! [X2] : ~ big_r(X2),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X3,X4] :
( big_r(sK0(X3,X4))
| ~ big_p(X4) ),
inference(subsumption_resolution,[],[f9,f10]) ).
fof(f10,plain,
! [X1] : big_q(X1),
inference(cnf_transformation,[],[f8]) ).
fof(f9,plain,
! [X3,X4] :
( ~ big_q(X3)
| big_r(sK0(X3,X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN050+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 20:48:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.40/0.55 % (20675)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)
% 1.40/0.55 % (20675)First to succeed.
% 1.40/0.55 % (20667)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)
% 1.40/0.55 % (20667)Also succeeded, but the first one will report.
% 1.40/0.55 % (20656)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.40/0.55 % (20675)Refutation found. Thanks to Tanya!
% 1.40/0.55 % SZS status Theorem for theBenchmark
% 1.40/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.55 % (20675)------------------------------
% 1.40/0.55 % (20675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (20675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (20675)Termination reason: Refutation
% 1.40/0.55
% 1.40/0.55 % (20675)Memory used [KB]: 1407
% 1.40/0.55 % (20675)Time elapsed: 0.075 s
% 1.40/0.55 % (20675)Instructions burned: 1 (million)
% 1.40/0.55 % (20675)------------------------------
% 1.40/0.55 % (20675)------------------------------
% 1.40/0.55 % (20651)Success in time 0.199 s
%------------------------------------------------------------------------------