TSTP Solution File: GEO213+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n010.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 16:09:16 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 117 ( 32 ~; 53 |; 22 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 87 ( 78 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(unit_resulting_resolution,[],[f88,f79,f250,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X0)
| convergent_lines(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f250,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f191,f88]) ).
fof(f191,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(subsumption_resolution,[],[f189,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f189,plain,
! [X0] :
( convergent_lines(sK0,sK1)
| convergent_lines(sK0,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f181,f86]) ).
fof(f181,plain,
( convergent_lines(sK1,sK0)
| convergent_lines(sK0,sK1) ),
inference(resolution,[],[f119,f77]) ).
fof(f77,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ~ distinct_lines(sK1,sK0)
& unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f56,f62]) ).
fof(f62,plain,
( ? [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
& unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X2,X0) )
=> ( ~ distinct_lines(sK1,sK0)
& unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
& unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X2,X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X2,X1,X0] :
( ~ distinct_lines(X1,X0)
& ~ unorthogonal_lines(X2,X0)
& unorthogonal_lines(X1,X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X2,X1,X0] :
( unorthogonal_lines(X1,X2)
=> ( distinct_lines(X1,X0)
| unorthogonal_lines(X2,X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X7,X5,X6] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X7,X5,X6] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f119,plain,
! [X9] :
( unorthogonal_lines(sK2,X9)
| convergent_lines(sK0,sK1)
| convergent_lines(sK1,X9) ),
inference(subsumption_resolution,[],[f116,f88]) ).
fof(f116,plain,
! [X9] :
( unorthogonal_lines(sK2,X9)
| convergent_lines(sK0,sK1)
| convergent_lines(sK2,sK2)
| convergent_lines(sK1,X9) ),
inference(resolution,[],[f96,f90]) ).
fof(f90,plain,
! [X0] :
( ~ convergent_lines(sK1,sK2)
| convergent_lines(sK1,X0)
| unorthogonal_lines(sK2,X0) ),
inference(resolution,[],[f78,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| unorthogonal_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X0] :
( ( unorthogonal_lines(X2,X0)
& convergent_lines(X2,X0) )
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( unorthogonal_lines(X2,X0)
& convergent_lines(X2,X0) )
| ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
=> ( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( unorthogonal_lines(X2,X0)
& convergent_lines(X2,X0) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X7,X5,X6] :
( ( convergent_lines(X5,X6)
& unorthogonal_lines(X5,X6) )
=> ( ( convergent_lines(X5,X7)
& unorthogonal_lines(X5,X7) )
| ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
fof(f78,plain,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f96,plain,
! [X0,X1] :
( convergent_lines(sK2,X1)
| convergent_lines(X0,X1)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f94,f86]) ).
fof(f94,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f89,f86]) ).
fof(f89,plain,
convergent_lines(sK2,sK0),
inference(resolution,[],[f77,f87]) ).
fof(f87,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X5,X6] :
( convergent_lines(X5,X6)
| unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
fof(f79,plain,
~ distinct_lines(sK1,sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:21:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (20281)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)
% 0.21/0.51 % (20273)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)
% 0.21/0.52 % (20273)Instruction limit reached!
% 0.21/0.52 % (20273)------------------------------
% 0.21/0.52 % (20273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (20273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (20273)Termination reason: Unknown
% 0.21/0.52 % (20273)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (20273)Memory used [KB]: 6012
% 0.21/0.52 % (20273)Time elapsed: 0.036 s
% 0.21/0.52 % (20273)Instructions burned: 8 (million)
% 0.21/0.52 % (20273)------------------------------
% 0.21/0.52 % (20273)------------------------------
% 0.21/0.53 % (20281)First to succeed.
% 0.21/0.53 % (20281)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (20281)------------------------------
% 0.21/0.53 % (20281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (20281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (20281)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (20281)Memory used [KB]: 1535
% 0.21/0.53 % (20281)Time elapsed: 0.041 s
% 0.21/0.53 % (20281)Instructions burned: 13 (million)
% 0.21/0.53 % (20281)------------------------------
% 0.21/0.53 % (20281)------------------------------
% 0.21/0.53 % (20257)Success in time 0.18 s
%------------------------------------------------------------------------------