TSTP Solution File: SYN366+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN366+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 : n001.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 19:37:42 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 80 ( 24 ~; 14 |; 24 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 54 ( 41 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(resolution,[],[f22,f13]) ).
fof(f13,plain,
~ big_r(sK1,sK1),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X0,X1] :
( ( big_r(X1,X0)
| ~ big_r(X0,X0) )
& ( big_r(X0,X0)
| ~ big_r(X1,X0) ) )
& big_r(sK0,sK0)
& ~ big_r(sK1,sK1)
& ! [X4,X5] :
( ( big_r(X5,X4)
| ~ big_r(X5,X5) )
& ( big_r(X5,X5)
| ~ big_r(X5,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X2] : big_r(X2,X2)
=> big_r(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X3] : ~ big_r(X3,X3)
=> ~ big_r(sK1,sK1) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ! [X0,X1] :
( ( big_r(X1,X0)
| ~ big_r(X0,X0) )
& ( big_r(X0,X0)
| ~ big_r(X1,X0) ) )
& ? [X2] : big_r(X2,X2)
& ? [X3] : ~ big_r(X3,X3)
& ! [X4,X5] :
( ( big_r(X5,X4)
| ~ big_r(X5,X5) )
& ( big_r(X5,X5)
| ~ big_r(X5,X4) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
( ! [X3,X2] :
( ( big_r(X2,X3)
| ~ big_r(X3,X3) )
& ( big_r(X3,X3)
| ~ big_r(X2,X3) ) )
& ? [X4] : big_r(X4,X4)
& ? [X5] : ~ big_r(X5,X5)
& ! [X1,X0] :
( ( big_r(X0,X1)
| ~ big_r(X0,X0) )
& ( big_r(X0,X0)
| ~ big_r(X0,X1) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( ! [X3,X2] :
( big_r(X2,X3)
<=> big_r(X3,X3) )
& ? [X4] : big_r(X4,X4)
& ? [X5] : ~ big_r(X5,X5)
& ! [X1,X0] :
( big_r(X0,X1)
<=> big_r(X0,X0) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X5] : ~ big_r(X5,X5)
& ? [X4] : big_r(X4,X4)
& ! [X3,X2] :
( big_r(X2,X3)
<=> big_r(X3,X3) )
& ! [X1,X0] :
( big_r(X0,X1)
<=> big_r(X0,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X3,X2] :
( big_r(X2,X3)
<=> big_r(X3,X3) )
& ! [X1,X0] :
( big_r(X0,X1)
<=> big_r(X0,X0) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1,X0] :
( big_r(X0,X1)
<=> big_r(X0,X0) )
& ! [X3,X2] :
( big_r(X2,X2)
<=> big_r(X3,X2) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X1,X0] :
( big_r(X0,X1)
<=> big_r(X0,X0) )
& ! [X3,X2] :
( big_r(X2,X2)
<=> big_r(X3,X2) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2117) ).
fof(f22,plain,
! [X0] : big_r(X0,X0),
inference(resolution,[],[f15,f18]) ).
fof(f18,plain,
! [X0] : big_r(sK0,X0),
inference(resolution,[],[f12,f14]) ).
fof(f14,plain,
big_r(sK0,sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f12,plain,
! [X4,X5] :
( ~ big_r(X5,X5)
| big_r(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_r(X1,X0)
| big_r(X0,X0) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 22:09:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.45 % (21268)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.45 % (21260)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.46 % (21268)First to succeed.
% 0.20/0.46 % (21268)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (21268)------------------------------
% 0.20/0.46 % (21268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (21268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (21268)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (21268)Memory used [KB]: 895
% 0.20/0.46 % (21268)Time elapsed: 0.051 s
% 0.20/0.46 % (21268)Instructions burned: 1 (million)
% 0.20/0.46 % (21268)------------------------------
% 0.20/0.46 % (21268)------------------------------
% 0.20/0.46 % (21252)Success in time 0.1 s
%------------------------------------------------------------------------------