TSTP Solution File: SYN381+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN381+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_sat --cores 0 -t %d %s
% Computer : n003.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 19:37:44 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 68 ( 20 ~; 19 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 57 ( 43 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f14]) ).
fof(f14,plain,
! [X0] : ~ big_q(sK1,X0),
inference(resolution,[],[f11,f10]) ).
fof(f10,plain,
~ big_p(sK1),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] : big_q(sK0(X0),X0)
& ! [X2,X3] :
( big_q(X3,X3)
| big_q(X3,X2)
| ~ big_q(X2,X3) )
& ! [X4] :
( big_p(X4)
| ! [X5] : ~ big_q(X4,X5) )
& ~ big_p(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] : big_q(X1,X0)
=> big_q(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X6] : ~ big_p(X6)
=> ~ big_p(sK1) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
? [X1] : big_q(X1,X0)
& ! [X2,X3] :
( big_q(X3,X3)
| big_q(X3,X2)
| ~ big_q(X2,X3) )
& ! [X4] :
( big_p(X4)
| ! [X5] : ~ big_q(X4,X5) )
& ? [X6] : ~ big_p(X6) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X5,X5)
| big_q(X5,X4)
| ~ big_q(X4,X5) )
& ! [X0] :
( big_p(X0)
| ! [X1] : ~ big_q(X0,X1) )
& ? [X6] : ~ big_p(X6) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6] : ~ big_p(X6)
& ! [X0] :
( big_p(X0)
| ! [X1] : ~ big_q(X0,X1) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X5,X4)
| big_q(X5,X5)
| ~ big_q(X4,X5) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_p(X0) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X4,X5)
=> ( big_q(X5,X4)
| big_q(X5,X5) ) ) )
=> ! [X6] : big_p(X6) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_p(X0) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X4,X5)
=> ( big_q(X5,X4)
| big_q(X5,X5) ) ) )
=> ! [X5] : big_p(X5) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_p(X0) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X4,X5)
=> ( big_q(X5,X4)
| big_q(X5,X5) ) ) )
=> ! [X5] : big_p(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2133) ).
fof(f11,plain,
! [X4,X5] :
( big_p(X4)
| ~ big_q(X4,X5) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
big_q(sK1,sK1),
inference(resolution,[],[f15,f14]) ).
fof(f15,plain,
! [X0] :
( big_q(X0,sK0(X0))
| big_q(X0,X0) ),
inference(resolution,[],[f12,f13]) ).
fof(f13,plain,
! [X0] : big_q(sK0(X0),X0),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X2,X3] :
( ~ big_q(X2,X3)
| big_q(X3,X2)
| big_q(X3,X3) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN381+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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 21:50:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (32161)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 (3000ds/498Mi)
% 0.20/0.50 % (32161)First to succeed.
% 0.20/0.50 % (32153)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 (3000ds/68Mi)
% 0.20/0.50 % (32161)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (32161)------------------------------
% 0.20/0.50 % (32161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (32161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (32161)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (32161)Memory used [KB]: 895
% 0.20/0.50 % (32161)Time elapsed: 0.057 s
% 0.20/0.50 % (32161)Instructions burned: 1 (million)
% 0.20/0.50 % (32161)------------------------------
% 0.20/0.50 % (32161)------------------------------
% 0.20/0.50 % (32138)Success in time 0.151 s
%------------------------------------------------------------------------------