TSTP Solution File: SYN386+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN386+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 : n008.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 19:26:27 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 137 ( 43 ~; 30 |; 39 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 167 ( 113 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(unit_resulting_resolution,[],[f20,f17,f18,f21,f15]) ).
fof(f15,plain,
! [X11,X16,X14,X15,X13] :
( ~ big_d(X13,X14,sK6(X11))
| ~ big_f(X14,X15)
| big_d(X16,X15,X11)
| ~ big_f(X13,X16) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] : big_f(X0,sK0(X0))
& ! [X2,X4] :
( big_s(X4,sK2(X2,X4))
& big_f(sK2(X2,X4),sK3(X2,X4))
& ~ big_d(sK3(X2,X4),X2,sK1(X2)) )
& ! [X8,X10] :
( ~ big_s(sK5(X8),X10)
| big_d(X10,sK4,X8) )
& ! [X11,X13,X14] :
( ! [X15,X16] :
( big_d(X16,X15,X11)
| ~ big_f(X14,X15)
| ~ big_f(X13,X16) )
| ~ big_d(X13,X14,sK6(X11)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f6,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] : big_f(X0,X1)
=> big_f(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
! [X4] :
? [X5] :
( big_s(X4,X5)
& ? [X6] :
( big_f(X5,X6)
& ~ big_d(X6,X2,X3) ) )
=> ! [X4] :
? [X5] :
( big_s(X4,X5)
& ? [X6] :
( big_f(X5,X6)
& ~ big_d(X6,X2,sK1(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X2,X4] :
( ? [X5] :
( big_s(X4,X5)
& ? [X6] :
( big_f(X5,X6)
& ~ big_d(X6,X2,sK1(X2)) ) )
=> ( big_s(X4,sK2(X2,X4))
& ? [X6] :
( big_f(sK2(X2,X4),X6)
& ~ big_d(X6,X2,sK1(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X2,X4] :
( ? [X6] :
( big_f(sK2(X2,X4),X6)
& ~ big_d(X6,X2,sK1(X2)) )
=> ( big_f(sK2(X2,X4),sK3(X2,X4))
& ~ big_d(sK3(X2,X4),X2,sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X7] :
! [X8] :
? [X9] :
! [X10] :
( ~ big_s(X9,X10)
| big_d(X10,X7,X8) )
=> ! [X8] :
? [X9] :
! [X10] :
( ~ big_s(X9,X10)
| big_d(X10,sK4,X8) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X8] :
( ? [X9] :
! [X10] :
( ~ big_s(X9,X10)
| big_d(X10,sK4,X8) )
=> ! [X10] :
( ~ big_s(sK5(X8),X10)
| big_d(X10,sK4,X8) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X11] :
( ? [X12] :
! [X13,X14] :
( ! [X15,X16] :
( big_d(X16,X15,X11)
| ~ big_f(X14,X15)
| ~ big_f(X13,X16) )
| ~ big_d(X13,X14,X12) )
=> ! [X14,X13] :
( ! [X15,X16] :
( big_d(X16,X15,X11)
| ~ big_f(X14,X15)
| ~ big_f(X13,X16) )
| ~ big_d(X13,X14,sK6(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
? [X1] : big_f(X0,X1)
& ! [X2] :
? [X3] :
! [X4] :
? [X5] :
( big_s(X4,X5)
& ? [X6] :
( big_f(X5,X6)
& ~ big_d(X6,X2,X3) ) )
& ? [X7] :
! [X8] :
? [X9] :
! [X10] :
( ~ big_s(X9,X10)
| big_d(X10,X7,X8) )
& ! [X11] :
? [X12] :
! [X13,X14] :
( ! [X15,X16] :
( big_d(X16,X15,X11)
| ~ big_f(X14,X15)
| ~ big_f(X13,X16) )
| ~ big_d(X13,X14,X12) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X10] :
? [X11] : big_f(X10,X11)
& ! [X12] :
? [X13] :
! [X14] :
? [X15] :
( big_s(X14,X15)
& ? [X16] :
( big_f(X15,X16)
& ~ big_d(X16,X12,X13) ) )
& ? [X6] :
! [X7] :
? [X8] :
! [X9] :
( ~ big_s(X8,X9)
| big_d(X9,X6,X7) )
& ! [X0] :
? [X1] :
! [X3,X2] :
( ! [X5,X4] :
( big_d(X4,X5,X0)
| ~ big_f(X2,X5)
| ~ big_f(X3,X4) )
| ~ big_d(X3,X2,X1) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X12] :
? [X13] :
! [X14] :
? [X15] :
( big_s(X14,X15)
& ? [X16] :
( big_f(X15,X16)
& ~ big_d(X16,X12,X13) ) )
& ! [X0] :
? [X1] :
! [X2,X3] :
( ! [X4,X5] :
( big_d(X4,X5,X0)
| ~ big_f(X2,X5)
| ~ big_f(X3,X4) )
| ~ big_d(X3,X2,X1) )
& ? [X6] :
! [X7] :
? [X8] :
! [X9] :
( ~ big_s(X8,X9)
| big_d(X9,X6,X7) )
& ! [X10] :
? [X11] : big_f(X10,X11) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] :
! [X2,X3] :
( big_d(X3,X2,X1)
=> ! [X4,X5] :
( ( big_f(X2,X5)
& big_f(X3,X4) )
=> big_d(X4,X5,X0) ) )
& ? [X6] :
! [X7] :
? [X8] :
! [X9] :
( big_s(X8,X9)
=> big_d(X9,X6,X7) )
& ! [X10] :
? [X11] : big_f(X10,X11) )
=> ? [X12] :
! [X13] :
? [X14] :
! [X15] :
( big_s(X14,X15)
=> ! [X16] :
( big_f(X15,X16)
=> big_d(X16,X12,X13) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2] :
? [X5] :
! [X7,X6] :
( big_d(X6,X7,X5)
=> ! [X1,X8] :
( ( big_f(X7,X8)
& big_f(X6,X1) )
=> big_d(X1,X8,X2) ) )
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( big_s(X3,X4)
=> big_d(X4,X0,X2) )
& ! [X0] :
? [X1] : big_f(X0,X1) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( big_s(X9,X4)
=> ! [X8] :
( big_f(X4,X8)
=> big_d(X8,X1,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2] :
? [X5] :
! [X7,X6] :
( big_d(X6,X7,X5)
=> ! [X1,X8] :
( ( big_f(X7,X8)
& big_f(X6,X1) )
=> big_d(X1,X8,X2) ) )
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( big_s(X3,X4)
=> big_d(X4,X0,X2) )
& ! [X0] :
? [X1] : big_f(X0,X1) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( big_s(X9,X4)
=> ! [X8] :
( big_f(X4,X8)
=> big_d(X8,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2138) ).
fof(f21,plain,
! [X0,X1] : big_d(sK2(X0,sK5(X1)),sK4,X1),
inference(resolution,[],[f16,f19]) ).
fof(f19,plain,
! [X2,X4] : big_s(X4,sK2(X2,X4)),
inference(cnf_transformation,[],[f14]) ).
fof(f16,plain,
! [X10,X8] :
( ~ big_s(sK5(X8),X10)
| big_d(X10,sK4,X8) ),
inference(cnf_transformation,[],[f14]) ).
fof(f18,plain,
! [X2,X4] : big_f(sK2(X2,X4),sK3(X2,X4)),
inference(cnf_transformation,[],[f14]) ).
fof(f17,plain,
! [X2,X4] : ~ big_d(sK3(X2,X4),X2,sK1(X2)),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0] : big_f(X0,sK0(X0)),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 21:54:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (19578)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)
% 0.19/0.50 % (19578)First to succeed.
% 0.19/0.50 % (19570)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)
% 0.19/0.50 % (19570)Also succeeded, but the first one will report.
% 0.19/0.50 % (19578)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (19578)------------------------------
% 0.19/0.50 % (19578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19578)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (19578)Memory used [KB]: 1407
% 0.19/0.50 % (19578)Time elapsed: 0.051 s
% 0.19/0.50 % (19578)Instructions burned: 1 (million)
% 0.19/0.50 % (19578)------------------------------
% 0.19/0.50 % (19578)------------------------------
% 0.19/0.50 % (19549)Success in time 0.158 s
%------------------------------------------------------------------------------