TSTP Solution File: NUM341+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n025.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 17:58:11 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 23 ~; 19 |; 12 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 57 ( 48 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f449,plain,
$false,
inference(subsumption_resolution,[],[f448,f447]) ).
fof(f447,plain,
! [X2,X0,X1] : ~ sum(X0,X1,X2),
inference(subsumption_resolution,[],[f446,f445]) ).
fof(f445,plain,
! [X2,X0,X1] : difference(X2,X0,X1),
inference(subsumption_resolution,[],[f438,f441]) ).
fof(f441,plain,
! [X2,X0,X1] :
( ~ sum(X2,X0,X1)
| difference(X1,X2,X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ( sum(X2,X0,X1)
| ~ difference(X1,X2,X0) )
& ( difference(X1,X2,X0)
| ~ sum(X2,X0,X1) ) ),
inference(rectify,[],[f433]) ).
fof(f433,plain,
! [X1,X2,X0] :
( ( sum(X0,X1,X2)
| ~ difference(X2,X0,X1) )
& ( difference(X2,X0,X1)
| ~ sum(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f411]) ).
fof(f411,plain,
! [X1,X2,X0] :
( sum(X0,X1,X2)
<=> difference(X2,X0,X1) ),
inference(rectify,[],[f296]) ).
fof(f296,axiom,
! [X1,X2,X0] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minus_entry_point) ).
fof(f438,plain,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| difference(X2,X0,X1) ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2] :
( ( ~ difference(X2,X1,X0)
| ~ difference(X2,X0,X1)
| ~ sum(X0,X1,X2) )
& ( ( difference(X2,X1,X0)
& difference(X2,X0,X1) )
| sum(X0,X1,X2) ) ),
inference(rectify,[],[f431]) ).
fof(f431,plain,
! [X2,X1,X0] :
( ( ~ difference(X0,X1,X2)
| ~ difference(X0,X2,X1)
| ~ sum(X2,X1,X0) )
& ( ( difference(X0,X1,X2)
& difference(X0,X2,X1) )
| sum(X2,X1,X0) ) ),
inference(flattening,[],[f430]) ).
fof(f430,plain,
! [X2,X1,X0] :
( ( ~ difference(X0,X1,X2)
| ~ difference(X0,X2,X1)
| ~ sum(X2,X1,X0) )
& ( ( difference(X0,X1,X2)
& difference(X0,X2,X1) )
| sum(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X2,X1,X0] :
( sum(X2,X1,X0)
<~> ( difference(X0,X1,X2)
& difference(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f404]) ).
fof(f404,plain,
~ ? [X2,X0,X1] :
( ( difference(X0,X1,X2)
& difference(X0,X2,X1) )
<=> sum(X2,X1,X0) ),
inference(rectify,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X2,X1,X0] :
( ( difference(X2,X1,X0)
& difference(X2,X0,X1) )
<=> sum(X0,X1,X2) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X2,X1,X0] :
( ( difference(X2,X1,X0)
& difference(X2,X0,X1) )
<=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_same_as_subtract) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ difference(X2,X0,X1) ),
inference(subsumption_resolution,[],[f440,f445]) ).
fof(f440,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ difference(X2,X1,X0)
| ~ difference(X2,X0,X1) ),
inference(cnf_transformation,[],[f432]) ).
fof(f448,plain,
! [X2,X0,X1] : sum(X0,X1,X2),
inference(resolution,[],[f445,f442]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ difference(X1,X2,X0)
| sum(X2,X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % 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 : n025.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:32:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.54 % (11956)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.57 % (11956)First to succeed.
% 0.21/0.57 % (11956)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (11956)------------------------------
% 0.21/0.57 % (11956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (11956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (11956)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (11956)Memory used [KB]: 6268
% 0.21/0.57 % (11956)Time elapsed: 0.138 s
% 0.21/0.57 % (11956)Instructions burned: 4 (million)
% 0.21/0.57 % (11956)------------------------------
% 0.21/0.57 % (11956)------------------------------
% 0.21/0.57 % (11954)Success in time 0.216 s
%------------------------------------------------------------------------------