TSTP Solution File: SYN365+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN365+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 : 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 19:37:42 EDT 2022
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 108 ( 36 ~; 22 |; 36 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 43 ( 29 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f14]) ).
fof(f14,plain,
big_p(sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] :
( ~ big_r(sK0,X1)
| ~ big_p(X1) )
& big_p(sK0)
& ! [X2] :
( ( big_r(X2,g(h(sK1(X2))))
& big_p(sK1(X2)) )
| ~ big_p(X2) )
& ! [X4] :
( ( big_p(g(X4))
& big_p(h(X4)) )
| ~ big_p(X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
=> ( ! [X1] :
( ~ big_r(sK0,X1)
| ~ big_p(X1) )
& big_p(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
( ( big_r(X2,g(h(X3)))
& big_p(X3) )
| ~ big_p(X2) )
=> ( ( big_r(X2,g(h(sK1(X2))))
& big_p(sK1(X2)) )
| ~ big_p(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
& ! [X2] :
? [X3] :
( ( big_r(X2,g(h(X3)))
& big_p(X3) )
| ~ big_p(X2) )
& ! [X4] :
( ( big_p(g(X4))
& big_p(h(X4)) )
| ~ big_p(X4) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X3] :
( ! [X4] :
( ~ big_r(X3,X4)
| ~ big_p(X4) )
& big_p(X3) )
& ! [X1] :
? [X2] :
( ( big_r(X1,g(h(X2)))
& big_p(X2) )
| ~ big_p(X1) )
& ! [X0] :
( ( big_p(g(X0))
& big_p(h(X0)) )
| ~ big_p(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X3] :
( ! [X4] :
( ~ big_r(X3,X4)
| ~ big_p(X4) )
& big_p(X3) )
& ! [X0] :
( ( big_p(g(X0))
& big_p(h(X0)) )
| ~ big_p(X0) )
& ! [X1] :
? [X2] :
( ( big_r(X1,g(h(X2)))
& big_p(X2) )
| ~ big_p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( big_p(X0)
=> ( big_p(g(X0))
& big_p(h(X0)) ) )
& ! [X1] :
? [X2] :
( big_p(X1)
=> ( big_r(X1,g(h(X2)))
& big_p(X2) ) ) )
=> ! [X3] :
( big_p(X3)
=> ? [X4] :
( big_p(X4)
& big_r(X3,X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2] :
( big_p(X2)
=> ( big_p(g(X2))
& big_p(h(X2)) ) )
& ! [X0] :
? [X1] :
( big_p(X0)
=> ( big_r(X0,g(h(X1)))
& big_p(X1) ) ) )
=> ! [X0] :
( big_p(X0)
=> ? [X1] :
( big_p(X1)
& big_r(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2] :
( big_p(X2)
=> ( big_p(g(X2))
& big_p(h(X2)) ) )
& ! [X0] :
? [X1] :
( big_p(X0)
=> ( big_r(X0,g(h(X1)))
& big_p(X1) ) ) )
=> ! [X0] :
( big_p(X0)
=> ? [X1] :
( big_p(X1)
& big_r(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2116) ).
fof(f20,plain,
~ big_p(sK0),
inference(resolution,[],[f19,f12]) ).
fof(f12,plain,
! [X2] :
( big_p(sK1(X2))
| ~ big_p(X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
~ big_p(sK1(sK0)),
inference(resolution,[],[f18,f10]) ).
fof(f10,plain,
! [X4] :
( big_p(h(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
~ big_p(h(sK1(sK0))),
inference(resolution,[],[f17,f11]) ).
fof(f11,plain,
! [X4] :
( big_p(g(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
~ big_p(g(h(sK1(sK0)))),
inference(subsumption_resolution,[],[f16,f14]) ).
fof(f16,plain,
( ~ big_p(g(h(sK1(sK0))))
| ~ big_p(sK0) ),
inference(resolution,[],[f13,f15]) ).
fof(f15,plain,
! [X1] :
( ~ big_r(sK0,X1)
| ~ big_p(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X2] :
( big_r(X2,g(h(sK1(X2))))
| ~ big_p(X2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 21:45:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 % (25652)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.22/0.49 % (25644)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)
% 0.22/0.50 % (25636)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.22/0.50 % (25644)First to succeed.
% 0.22/0.50 % (25652)Also succeeded, but the first one will report.
% 0.22/0.50 % (25644)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (25644)------------------------------
% 0.22/0.50 % (25644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50 % (25644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50 % (25644)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (25644)Memory used [KB]: 895
% 0.22/0.50 % (25644)Time elapsed: 0.098 s
% 0.22/0.50 % (25644)Instructions burned: 2 (million)
% 0.22/0.50 % (25644)------------------------------
% 0.22/0.50 % (25644)------------------------------
% 0.22/0.50 % (25626)Success in time 0.134 s
%------------------------------------------------------------------------------