TSTP Solution File: NUN081+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% 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 : n015.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 18:08:08 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 38 ( 6 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 154 ( 20 ~; 15 |; 106 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 0 con; 1-2 aty)
% Number of variables : 155 ( 69 !; 86 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(unit_resulting_resolution,[],[f98,f107,f107,f132,f127,f129,f103]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X0,X2,X1)
| ~ r1(X6)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ id(X1,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ id(X1,X3)
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) ) )
| ~ r2(X4,X3) ) )
| ~ r3(X0,X2,X1) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ! [X3] :
( ~ id(X0,X3)
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) ) )
| ~ r2(X4,X3) ) )
| ~ r3(X2,X1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ? [X1,X2,X0] :
( r3(X2,X1,X0)
& ? [X3] :
( id(X0,X3)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r2(X6,X5)
& r1(X6) ) ) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X46,X45,X62] :
( ? [X39] :
( id(X46,X39)
& ? [X40] :
( r2(X40,X39)
& ? [X48] :
( r2(X48,X40)
& ? [X42] :
( r1(X42)
& r2(X42,X48) ) ) ) )
& r3(X62,X45,X46) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X46,X45,X62] :
( ? [X39] :
( id(X46,X39)
& ? [X40] :
( r2(X40,X39)
& ? [X48] :
( r2(X48,X40)
& ? [X42] :
( r1(X42)
& r2(X42,X48) ) ) ) )
& r3(X62,X45,X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplusyidthree) ).
fof(f129,plain,
! [X0] : r3(X0,sK15(X0),sK14(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( r3(X0,sK15(X0),sK14(X0))
& r1(sK15(X0))
& id(sK14(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f22,f68,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK14(X0))
& r1(X2) )
& id(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK14(X0))
& r1(X2) )
=> ( r3(X0,sK15(X0),sK14(X0))
& r1(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r1(X55)
& r3(X53,X55,X54) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f127,plain,
! [X0] : id(sK14(X0),X0),
inference(cnf_transformation,[],[f69]) ).
fof(f132,plain,
! [X0,X1] : r2(X0,sK18(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( id(sK17(X0,X1),sK16(X0,X1))
& r4(X1,sK18(X0,X1),sK17(X0,X1))
& r2(X0,sK18(X0,X1))
& r4(X1,X0,sK19(X0,X1))
& r3(sK19(X0,X1),X1,sK16(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f70,f74,f73,f72,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,X2) ) )
=> ( ? [X3] :
( id(X3,sK16(X0,X1))
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,sK16(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X3] :
( id(X3,sK16(X0,X1))
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
=> ( id(sK17(X0,X1),sK16(X0,X1))
& ? [X4] :
( r4(X1,X4,sK17(X0,X1))
& r2(X0,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X4] :
( r4(X1,X4,sK17(X0,X1))
& r2(X0,X4) )
=> ( r4(X1,sK18(X0,X1),sK17(X0,X1))
& r2(X0,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,sK16(X0,X1)) )
=> ( r4(X1,X0,sK19(X0,X1))
& r3(sK19(X0,X1),X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,X2) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r4(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r4(X0,X1,X5)
& r3(X5,X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X46] :
( id(X46,X45)
& ? [X47] :
( r2(X44,X47)
& r4(X43,X47,X46) ) )
& ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f107,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( id(sK6(X0,X1),sK5(X0,X1))
& r2(X1,sK7(X0,X1))
& r3(X0,sK7(X0,X1),sK6(X0,X1))
& r3(X0,X1,sK8(X0,X1))
& r2(sK8(X0,X1),sK5(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f37,f55,f54,f53,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( id(X3,sK5(X0,X1))
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK5(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( id(X3,sK5(X0,X1))
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
=> ( id(sK6(X0,X1),sK5(X0,X1))
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,sK6(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X4] :
( r2(X1,X4)
& r3(X0,X4,sK6(X0,X1)) )
=> ( r2(X1,sK7(X0,X1))
& r3(X0,sK7(X0,X1),sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK5(X0,X1)) )
=> ( r3(X0,X1,sK8(X0,X1))
& r2(sK8(X0,X1),sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) )
& ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f98,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( r4(X0,sK3(X0),sK2(X0))
& r1(sK3(X0))
& r1(sK4(X0))
& id(sK2(X0),sK4(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f23,f48,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( r1(X3)
& id(X1,X3) ) )
=> ( ? [X2] :
( r4(X0,X2,sK2(X0))
& r1(X2) )
& ? [X3] :
( r1(X3)
& id(sK2(X0),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X2] :
( r4(X0,X2,sK2(X0))
& r1(X2) )
=> ( r4(X0,sK3(X0),sK2(X0))
& r1(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& id(sK2(X0),X3) )
=> ( r1(sK4(X0))
& id(sK2(X0),sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( r1(X3)
& id(X1,X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X58] :
( r4(X56,X58,X57)
& r1(X58) )
& ? [X59] :
( r1(X59)
& id(X57,X59) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:59:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (28919)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.48 % (28898)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48 % (28911)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48 % (28898)First to succeed.
% 0.19/0.49 % (28898)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (28898)------------------------------
% 0.19/0.49 % (28898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (28898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (28898)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (28898)Memory used [KB]: 5500
% 0.19/0.49 % (28898)Time elapsed: 0.087 s
% 0.19/0.49 % (28898)Instructions burned: 6 (million)
% 0.19/0.49 % (28898)------------------------------
% 0.19/0.49 % (28898)------------------------------
% 0.19/0.49 % (28896)Success in time 0.146 s
%------------------------------------------------------------------------------