TSTP Solution File: SYN361+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN361+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 : n006.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 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 62 ( 23 ~; 10 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 58 ( 41 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(unit_resulting_resolution,[],[f12,f14,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_q(X1,X0)
| ~ big_p(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0,X1] :
( ~ big_q(X1,X0)
| ~ big_p(X1,X0) )
& ! [X3] : big_p(X3,sK0)
& ! [X4] : big_s(X4)
& ! [X5] :
( ~ big_s(X5)
| big_q(sK1(X5),X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X2] :
! [X3] : big_p(X3,X2)
=> ! [X3] : big_p(X3,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X5] :
( ? [X6] : big_q(X6,X5)
=> big_q(sK1(X5),X5) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0,X1] :
( ~ big_q(X1,X0)
| ~ big_p(X1,X0) )
& ? [X2] :
! [X3] : big_p(X3,X2)
& ! [X4] : big_s(X4)
& ! [X5] :
( ~ big_s(X5)
| ? [X6] : big_q(X6,X5) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X0,X1] :
( ~ big_q(X1,X0)
| ~ big_p(X1,X0) )
& ? [X4] :
! [X5] : big_p(X5,X4)
& ! [X6] : big_s(X6)
& ! [X2] :
( ~ big_s(X2)
| ? [X3] : big_q(X3,X2) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X6] : big_s(X6)
& ? [X4] :
! [X5] : big_p(X5,X4)
& ! [X0,X1] :
( ~ big_q(X1,X0)
| ~ big_p(X1,X0) )
& ! [X2] :
( ~ big_s(X2)
| ? [X3] : big_q(X3,X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ? [X4] :
! [X5] : big_p(X5,X4)
& ! [X1,X0] :
( big_p(X1,X0)
=> ~ big_q(X1,X0) )
& ! [X2] :
( big_s(X2)
=> ? [X3] : big_q(X3,X2) ) )
=> ? [X6] : ~ big_s(X6) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2,X1] :
( big_p(X1,X2)
=> ~ big_q(X1,X2) )
& ! [X1] :
( big_s(X1)
=> ? [X2] : big_q(X2,X1) )
& ? [X0] :
! [X1] : big_p(X1,X0) )
=> ? [X3] : ~ big_s(X3) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2,X1] :
( big_p(X1,X2)
=> ~ big_q(X1,X2) )
& ! [X1] :
( big_s(X1)
=> ? [X2] : big_q(X2,X1) )
& ? [X0] :
! [X1] : big_p(X1,X0) )
=> ? [X3] : ~ big_s(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2112) ).
fof(f14,plain,
! [X5] : big_q(sK1(X5),X5),
inference(subsumption_resolution,[],[f10,f11]) ).
fof(f11,plain,
! [X4] : big_s(X4),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
! [X5] :
( big_q(sK1(X5),X5)
| ~ big_s(X5) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X3] : big_p(X3,sK0),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n006.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 21:46:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % (16646)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.47 % (16657)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)
% 0.21/0.47 % (16657)First to succeed.
% 0.21/0.48 % (16657)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (16657)------------------------------
% 0.21/0.48 % (16657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (16657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (16657)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (16657)Memory used [KB]: 1407
% 0.21/0.48 % (16657)Time elapsed: 0.085 s
% 0.21/0.48 % (16657)Instructions burned: 1 (million)
% 0.21/0.48 % (16657)------------------------------
% 0.21/0.48 % (16657)------------------------------
% 0.21/0.48 % (16633)Success in time 0.121 s
%------------------------------------------------------------------------------