TSTP Solution File: NUN060+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN060+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_uns --cores 0 -t %d %s
% Computer : n024.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 18:07:36 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 109 ( 23 ~; 18 |; 62 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 109 ( 53 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(unit_resulting_resolution,[],[f59,f73,f73,f73,f73,f66,f71,f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X0,X3,X2)
| ~ id(X2,X1)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ id(X2,X1)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) ) ) )
| ~ r2(X4,X3) )
| ~ r3(X0,X3,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ~ id(X0,X1)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) ) ) )
| ~ r2(X4,X3) )
| ~ r3(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X2,X0,X1] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) ) )
& r2(X4,X3) )
& r3(X2,X3,X0) )
& id(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X46,X62,X45] :
( ? [X39] :
( r3(X45,X39,X46)
& ? [X40] :
( ? [X48] :
( r2(X48,X40)
& ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) ) )
& r2(X40,X39) ) )
& id(X46,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X46,X62,X45] :
( ? [X39] :
( r3(X45,X39,X46)
& ? [X40] :
( ? [X48] :
( r2(X48,X40)
& ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) ) )
& r2(X40,X39) ) )
& id(X46,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greq4id) ).
fof(f71,plain,
! [X0,X1] : r3(X1,X0,sK5(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( id(sK3(X0,X1),sK2(X0,X1))
& r3(X1,sK4(X0,X1),sK3(X0,X1))
& r2(X0,sK4(X0,X1))
& r2(sK5(X0,X1),sK2(X0,X1))
& r3(X1,X0,sK5(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f41,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r3(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) ) )
=> ( ? [X3] :
( id(X3,sK2(X0,X1))
& ? [X4] :
( r3(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r2(X5,sK2(X0,X1))
& r3(X1,X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3] :
( id(X3,sK2(X0,X1))
& ? [X4] :
( r3(X1,X4,X3)
& r2(X0,X4) ) )
=> ( id(sK3(X0,X1),sK2(X0,X1))
& ? [X4] :
( r3(X1,X4,sK3(X0,X1))
& r2(X0,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X4] :
( r3(X1,X4,sK3(X0,X1))
& r2(X0,X4) )
=> ( r3(X1,sK4(X0,X1),sK3(X0,X1))
& r2(X0,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X5] :
( r2(X5,sK2(X0,X1))
& r3(X1,X0,X5) )
=> ( r2(sK5(X0,X1),sK2(X0,X1))
& r3(X1,X0,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r3(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
? [X2] :
( ? [X4] :
( id(X4,X2)
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
& ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f66,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f73,plain,
! [X0,X1] : r2(X0,sK4(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f59,plain,
! [X0] : r1(sK1(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( id(sK0(X0),X0)
& r3(X0,sK1(X0),sK0(X0))
& r1(sK1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f24,f37,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
( id(X1,X0)
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( id(sK0(X0),X0)
& ? [X2] :
( r3(X0,X2,sK0(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK0(X0))
& r1(X2) )
=> ( r3(X0,sK1(X0),sK0(X0))
& r1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r1(X55)
& r3(X53,X55,X54) )
& id(X54,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.13 % 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 : n024.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 09:45:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (9700)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (9693)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (9701)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (9713)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51 % (9708)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)
% 0.19/0.51 % (9697)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (9700)First to succeed.
% 0.19/0.51 % (9716)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)
% 0.19/0.51 % (9705)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)
% 0.19/0.51 % (9700)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (9700)------------------------------
% 0.19/0.51 % (9700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9700)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (9700)Memory used [KB]: 6012
% 0.19/0.51 % (9700)Time elapsed: 0.111 s
% 0.19/0.51 % (9700)Instructions burned: 4 (million)
% 0.19/0.51 % (9700)------------------------------
% 0.19/0.51 % (9700)------------------------------
% 0.19/0.51 % (9692)Success in time 0.167 s
%------------------------------------------------------------------------------