TSTP Solution File: SYN360+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN360+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 : n023.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 19:26:23 EDT 2022
% Result : Theorem 0.16s 0.42s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 14 ~; 5 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 54 ( 36 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,plain,
$false,
inference(unit_resulting_resolution,[],[f12,f10,f11]) ).
fof(f11,plain,
! [X2,X3,X4] :
( ~ big_p(X2,X3)
| big_q(X2,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ big_q(sK1,sK0)
& ! [X2] :
( ! [X3] : ~ big_p(X2,X3)
| ! [X4] : big_q(X2,X4) )
& ! [X5] : big_p(X5,sK2(X5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0,X1] : ~ big_q(X1,X0)
=> ~ big_q(sK1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X5] :
( ? [X6] : big_p(X5,X6)
=> big_p(X5,sK2(X5)) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0,X1] : ~ big_q(X1,X0)
& ! [X2] :
( ! [X3] : ~ big_p(X2,X3)
| ! [X4] : big_q(X2,X4) )
& ! [X5] :
? [X6] : big_p(X5,X6) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X6,X5] : ~ big_q(X5,X6)
& ! [X2] :
( ! [X3] : ~ big_p(X2,X3)
| ! [X4] : big_q(X2,X4) )
& ! [X0] :
? [X1] : big_p(X0,X1) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6,X5] : ~ big_q(X5,X6)
& ! [X0] :
? [X1] : big_p(X0,X1)
& ! [X2] :
( ! [X3] : ~ big_p(X2,X3)
| ! [X4] : big_q(X2,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] : big_p(X0,X1)
& ! [X2] :
( ? [X3] : big_p(X2,X3)
=> ! [X4] : big_q(X2,X4) ) )
=> ! [X5,X6] : big_q(X5,X6) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2] :
? [X1] : big_p(X2,X1)
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X1] : big_q(X0,X1) ) )
=> ! [X0,X1] : big_q(X0,X1) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2] :
? [X1] : big_p(X2,X1)
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X1] : big_q(X0,X1) ) )
=> ! [X0,X1] : big_q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2111) ).
fof(f10,plain,
! [X5] : big_p(X5,sK2(X5)),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
~ big_q(sK1,sK0),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 30 22:09:05 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.42 % (28396)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)
% 0.16/0.42 % (28396)First to succeed.
% 0.16/0.42 % (28388)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)
% 0.16/0.42 % (28382)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.42 % (28382)Also succeeded, but the first one will report.
% 0.16/0.42 % (28396)Refutation found. Thanks to Tanya!
% 0.16/0.42 % SZS status Theorem for theBenchmark
% 0.16/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.42 % (28396)------------------------------
% 0.16/0.42 % (28396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.42 % (28396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.42 % (28396)Termination reason: Refutation
% 0.16/0.42
% 0.16/0.42 % (28396)Memory used [KB]: 1407
% 0.16/0.42 % (28396)Time elapsed: 0.040 s
% 0.16/0.42 % (28396)Instructions burned: 1 (million)
% 0.16/0.42 % (28396)------------------------------
% 0.16/0.42 % (28396)------------------------------
% 0.16/0.42 % (28372)Success in time 0.103 s
%------------------------------------------------------------------------------