TSTP Solution File: SYN333+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN333+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 : n011.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 19:26:15 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 82 ( 28 ~; 20 |; 27 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 28 ( 19 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,plain,
$false,
inference(unit_resulting_resolution,[],[f13,f8,f8,f13,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( ( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) )
& big_g(X1,X0)
& big_f(X1,X0) )
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& big_f(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
! [X0,X1] :
( ? [X2] :
( ( ( ( ~ big_g(X2,X2)
| ~ big_g(X1,X2) )
& big_g(X1,X0)
& big_f(X1,X0) )
| ~ big_f(X2,X2)
| ~ big_f(X0,X2) )
& big_f(X1,X0) )
=> ( ( ( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) )
& big_g(X1,X0)
& big_f(X1,X0) )
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& big_f(X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
! [X0,X1] :
? [X2] :
( ( ( ( ~ big_g(X2,X2)
| ~ big_g(X1,X2) )
& big_g(X1,X0)
& big_f(X1,X0) )
| ~ big_f(X2,X2)
| ~ big_f(X0,X2) )
& big_f(X1,X0) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
! [X1,X0] :
? [X2] :
( ( ( ( ~ big_g(X2,X2)
| ~ big_g(X1,X2) )
& big_f(X1,X0)
& big_g(X1,X0) )
| ~ big_f(X2,X2)
| ~ big_f(X0,X2) )
& big_f(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ? [X1,X0] :
! [X2] :
( big_f(X1,X0)
=> ( ( ( big_f(X1,X0)
& big_g(X1,X0) )
=> ( big_g(X1,X2)
& big_g(X2,X2) ) )
& big_f(X2,X2)
& big_f(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X1,X0] :
! [X2] :
( big_f(X0,X1)
=> ( big_f(X2,X2)
& ( ( big_g(X0,X1)
& big_f(X0,X1) )
=> ( big_g(X0,X2)
& big_g(X2,X2) ) )
& big_f(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X1,X0] :
! [X2] :
( big_f(X0,X1)
=> ( big_f(X2,X2)
& ( ( big_g(X0,X1)
& big_f(X0,X1) )
=> ( big_g(X0,X2)
& big_g(X2,X2) ) )
& big_f(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_5) ).
fof(f8,plain,
! [X0,X1] : big_f(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X0,X1] : big_g(X0,X1),
inference(unit_resulting_resolution,[],[f8,f8,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1))
| big_g(X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN333+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.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 21:42:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (11533)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.49 % (11541)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)
% 0.20/0.49 % (11541)First to succeed.
% 0.20/0.49 % (11541)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (11541)------------------------------
% 0.20/0.49 % (11541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11541)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (11541)Memory used [KB]: 5884
% 0.20/0.49 % (11541)Time elapsed: 0.081 s
% 0.20/0.49 % (11541)Instructions burned: 1 (million)
% 0.20/0.49 % (11541)------------------------------
% 0.20/0.49 % (11541)------------------------------
% 0.20/0.49 % (11531)Success in time 0.14 s
%------------------------------------------------------------------------------