TSTP Solution File: NUN073+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN073+2 : 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 : n003.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 18:07:42 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 135 ( 36 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 153 ( 59 ~; 43 |; 45 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 84 ( 55 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f122,f103]) ).
fof(f103,plain,
! [X0] : ~ r2(X0,sK10),
inference(backward_demodulation,[],[f102,f101]) ).
fof(f101,plain,
sK18 = sK10,
inference(unit_resulting_resolution,[],[f84,f79]) ).
fof(f79,plain,
! [X1] :
( ~ r1(X1)
| sK10 = X1 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1] :
( ( ~ r1(X1)
& sK10 != X1 )
| ( r1(X1)
& sK10 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f1,f46]) ).
fof(f46,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK10 != X1 )
| ( r1(X1)
& sK10 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f84,plain,
r1(sK18),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( r1(sK16)
& r2(sK16,sK15)
& r2(sK15,sK14)
& sK14 = sK17
& r2(sK18,sK17)
& r1(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18])],[f53,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& r2(X1,X0) )
& ? [X3] :
( X0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& r2(X1,sK14) )
& ? [X3] :
( sK14 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& r2(X1,sK14) )
=> ( ? [X2] :
( r1(X2)
& r2(X2,sK15) )
& r2(sK15,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X2] :
( r1(X2)
& r2(X2,sK15) )
=> ( r1(sK16)
& r2(sK16,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X3] :
( sK14 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( sK14 = sK17
& ? [X4] :
( r2(X4,sK17)
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X4] :
( r2(X4,sK17)
& r1(X4) )
=> ( r2(sK18,sK17)
& r1(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& r2(X1,X0) )
& ? [X3] :
( X0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X0] :
( ? [X3] :
( ? [X4] :
( r1(X4)
& r2(X4,X3) )
& r2(X3,X0) )
& ? [X1] :
( X0 = X1
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ! [X3] :
( ~ r2(X3,X0)
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) )
| ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| X0 != X1 ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X21] :
( X21 != X38
| ! [X15] :
( ~ r1(X15)
| ~ r2(X15,X21) ) )
| ! [X22] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) )
| ~ r2(X22,X38) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X21] :
( X21 != X38
| ! [X15] :
( ~ r1(X15)
| ~ r2(X15,X21) ) )
| ! [X22] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) )
| ~ r2(X22,X38) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneuneqtwo) ).
fof(f102,plain,
! [X0] : ~ r2(X0,sK18),
inference(unit_resulting_resolution,[],[f84,f94]) ).
fof(f94,plain,
! [X2,X1] :
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ r2(X1,X0)
| X0 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ! [X2] :
( X0 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f122,plain,
r2(sK10,sK10),
inference(backward_demodulation,[],[f109,f118]) ).
fof(f118,plain,
sK15 = sK10,
inference(unit_resulting_resolution,[],[f87,f104,f95]) ).
fof(f95,plain,
! [X3,X0,X1] :
( ~ r2(X1,X3)
| X0 = X1
| ~ r2(X0,X3) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| X2 != X3
| ~ r2(X0,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( X2 != X3
| ~ r2(X0,X3) ) )
| X0 = X1 ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ! [X2] :
( ~ r2(X0,X2)
| ! [X3] :
( X2 != X3
| ~ r2(X1,X3) ) )
| X0 = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X26,X25] :
( X25 = X26
| ! [X27] :
( ! [X28] :
( ~ r2(X25,X28)
| X27 != X28 )
| ~ r2(X26,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
fof(f104,plain,
r2(sK10,sK14),
inference(backward_demodulation,[],[f100,f101]) ).
fof(f100,plain,
r2(sK18,sK14),
inference(backward_demodulation,[],[f85,f86]) ).
fof(f86,plain,
sK14 = sK17,
inference(cnf_transformation,[],[f59]) ).
fof(f85,plain,
r2(sK18,sK17),
inference(cnf_transformation,[],[f59]) ).
fof(f87,plain,
r2(sK15,sK14),
inference(cnf_transformation,[],[f59]) ).
fof(f109,plain,
r2(sK10,sK15),
inference(backward_demodulation,[],[f88,f106]) ).
fof(f106,plain,
sK16 = sK10,
inference(unit_resulting_resolution,[],[f89,f79]) ).
fof(f89,plain,
r1(sK16),
inference(cnf_transformation,[],[f59]) ).
fof(f88,plain,
r2(sK16,sK15),
inference(cnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % 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 : n003.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:47:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (26269)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48 % (26269)First to succeed.
% 0.20/0.49 % (26280)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (26269)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 % (26269)------------------------------
% 0.20/0.49 % (26269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (26269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (26269)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (26269)Memory used [KB]: 6012
% 0.20/0.49 % (26269)Time elapsed: 0.083 s
% 0.20/0.49 % (26269)Instructions burned: 2 (million)
% 0.20/0.49 % (26269)------------------------------
% 0.20/0.49 % (26269)------------------------------
% 0.20/0.49 % (26263)Success in time 0.133 s
%------------------------------------------------------------------------------