TSTP Solution File: SYN359+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN359+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 : n027.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 19:37:41 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 72 ( 24 ~; 16 |; 21 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 ( 37 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(resolution,[],[f16,f11]) ).
fof(f11,plain,
big_r(sK1),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] :
( big_q(X0,sK0(X0))
| ~ big_r(X0) )
& ! [X2,X3] :
( ~ big_q(X2,X3)
| ~ big_r(X3) )
& big_r(sK1)
& ! [X5,X6] :
( ~ big_q(X6,X5)
| big_q(X6,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_q(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X4] : big_r(X4)
=> big_r(sK1) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
( ? [X1] : big_q(X0,X1)
| ~ big_r(X0) )
& ! [X2,X3] :
( ~ big_q(X2,X3)
| ~ big_r(X3) )
& ? [X4] : big_r(X4)
& ! [X5,X6] :
( ~ big_q(X6,X5)
| big_q(X6,X6) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X1] :
( ? [X2] : big_q(X1,X2)
| ~ big_r(X1) )
& ! [X6,X5] :
( ~ big_q(X6,X5)
| ~ big_r(X5) )
& ? [X0] : big_r(X0)
& ! [X4,X3] :
( ~ big_q(X3,X4)
| big_q(X3,X3) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X6,X5] :
( ~ big_q(X6,X5)
| ~ big_r(X5) )
& ? [X0] : big_r(X0)
& ! [X4,X3] :
( ~ big_q(X3,X4)
| big_q(X3,X3) )
& ! [X1] :
( ? [X2] : big_q(X1,X2)
| ~ big_r(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ? [X0] : big_r(X0)
& ! [X3,X4] :
( big_q(X3,X4)
=> big_q(X3,X3) )
& ! [X1] :
( big_r(X1)
=> ? [X2] : big_q(X1,X2) ) )
=> ? [X5,X6] :
( big_r(X5)
& big_q(X6,X5) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] : big_r(X0)
& ! [X1] :
( big_r(X1)
=> ? [X2] : big_q(X1,X2) )
& ! [X0,X1] :
( big_q(X0,X1)
=> big_q(X0,X0) ) )
=> ? [X1,X0] :
( big_r(X1)
& big_q(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X0] : big_r(X0)
& ! [X1] :
( big_r(X1)
=> ? [X2] : big_q(X1,X2) )
& ! [X0,X1] :
( big_q(X0,X1)
=> big_q(X0,X0) ) )
=> ? [X1,X0] :
( big_r(X1)
& big_q(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2110) ).
fof(f16,plain,
! [X0] : ~ big_r(X0),
inference(subsumption_resolution,[],[f14,f12]) ).
fof(f12,plain,
! [X2,X3] :
( ~ big_q(X2,X3)
| ~ big_r(X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0] :
( ~ big_r(X0)
| big_q(X0,X0) ),
inference(resolution,[],[f13,f10]) ).
fof(f10,plain,
! [X6,X5] :
( ~ big_q(X6,X5)
| big_q(X6,X6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( big_q(X0,sK0(X0))
| ~ big_r(X0) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % 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 : n027.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 22:03:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (2656)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51 % (2657)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52 % (2657)First to succeed.
% 0.19/0.52 % (2672)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.52 % (2657)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (2657)------------------------------
% 0.19/0.52 % (2657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2657)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (2657)Memory used [KB]: 5373
% 0.19/0.52 % (2657)Time elapsed: 0.110 s
% 0.19/0.52 % (2657)Instructions burned: 2 (million)
% 0.19/0.52 % (2657)------------------------------
% 0.19/0.52 % (2657)------------------------------
% 0.19/0.52 % (2644)Success in time 0.17 s
%------------------------------------------------------------------------------