TSTP Solution File: NUN067+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN067+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 : n021.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 18:07:40 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 56 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 68 ( 34 ~; 18 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(resolution,[],[f118,f115]) ).
fof(f115,plain,
! [X0] : r1(X0),
inference(backward_demodulation,[],[f75,f74]) ).
fof(f74,plain,
! [X0] : sK7(X0) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( r1(sK7(X0))
& sK7(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f25,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
=> ( r1(sK7(X0))
& sK7(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
? [X1] :
( r1(X1)
& X0 = X1 ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ? [X0] :
! [X1] :
( ~ r1(X1)
| X0 != X1 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
! [X21] :
( X21 != X38
| ~ r1(X21) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
! [X21] :
( X21 != X38
| ~ r1(X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexist) ).
fof(f75,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f118,plain,
! [X0] : ~ r1(sK8(X0)),
inference(resolution,[],[f107,f109]) ).
fof(f109,plain,
! [X0] : r2(X0,sK8(X0)),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X2,X0] :
( sK8(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X2] :
( ( sK8(X0) != X2
& ~ r2(X0,X2) )
| ( sK8(X0) = X2
& r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f22,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( X1 = X2
& r2(X0,X2) ) )
=> ! [X2] :
( ( sK8(X0) != X2
& ~ r2(X0,X2) )
| ( sK8(X0) = X2
& r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( X1 = X2
& r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( r2(X2,X4)
& X3 = X4 )
| ( ~ r2(X2,X4)
& X3 != X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f107,plain,
! [X2,X1] :
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X2)
| X0 != X2 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ r1(X2)
| X0 != X2 ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| X1 != X2 ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( ~ r1(X42)
| X41 != X42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % 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 : n021.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 09:41:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (14045)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.47 % (14043)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)
% 0.19/0.47 % (14037)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)
% 0.19/0.47 % (14045)First to succeed.
% 0.19/0.47 % (14045)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (14045)------------------------------
% 0.19/0.47 % (14045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (14045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (14045)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (14045)Memory used [KB]: 6012
% 0.19/0.47 % (14045)Time elapsed: 0.066 s
% 0.19/0.47 % (14045)Instructions burned: 3 (million)
% 0.19/0.47 % (14045)------------------------------
% 0.19/0.47 % (14045)------------------------------
% 0.19/0.47 % (14022)Success in time 0.131 s
%------------------------------------------------------------------------------