TSTP Solution File: GEO579+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Tue Apr 30 20:18:19 EDT 2024
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 53 ( 29 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 92 ( 24 ~; 19 |; 44 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 71 ( 57 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,I,Y,L,X] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I) )
=> coll(X,Y,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,I,Y,L,X] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I) )
=> coll(X,Y,L) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
! [A,C,D] :
( ! [B] :
( ~ coll(A,B,C)
| ~ coll(A,B,D) )
| coll(C,D,A) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f369,plain,
? [A,B,C,I,Y,L,X] :
( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I)
& ~ coll(X,Y,L) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [Y,L,X] :
( ? [A,I] :
( ? [B] :
( ? [C] :
( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C) )
& perp(X,B,A,I) )
& coll(X,A,I) )
& ~ coll(X,Y,L) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( eqangle(sk0_24,sk0_23,sk0_23,sk0_25,sk0_24,sk0_23,sk0_23,sk0_26)
& eqangle(sk0_24,sk0_25,sk0_25,sk0_26,sk0_24,sk0_25,sk0_25,sk0_23)
& eqangle(sk0_24,sk0_26,sk0_26,sk0_23,sk0_24,sk0_26,sk0_26,sk0_25)
& perp(sk0_20,sk0_24,sk0_23,sk0_26)
& coll(sk0_20,sk0_23,sk0_26)
& perp(sk0_21,sk0_24,sk0_25,sk0_26)
& coll(sk0_21,sk0_25,sk0_26)
& perp(sk0_22,sk0_25,sk0_23,sk0_24)
& coll(sk0_22,sk0_23,sk0_24)
& ~ coll(sk0_22,sk0_20,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f376,plain,
coll(sk0_20,sk0_23,sk0_26),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
coll(sk0_21,sk0_25,sk0_26),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f380,plain,
coll(sk0_22,sk0_23,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f381,plain,
~ coll(sk0_22,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f382,plain,
coll(sk0_22,sk0_24,sk0_23),
inference(resolution,[status(thm)],[f98,f380]) ).
fof(f384,plain,
coll(sk0_20,sk0_26,sk0_23),
inference(resolution,[status(thm)],[f98,f376]) ).
fof(f388,plain,
coll(sk0_24,sk0_22,sk0_23),
inference(resolution,[status(thm)],[f100,f382]) ).
fof(f389,plain,
coll(sk0_23,sk0_22,sk0_24),
inference(resolution,[status(thm)],[f100,f380]) ).
fof(f392,plain,
coll(sk0_26,sk0_20,sk0_23),
inference(resolution,[status(thm)],[f100,f384]) ).
fof(f397,plain,
coll(sk0_23,sk0_24,sk0_22),
inference(resolution,[status(thm)],[f389,f98]) ).
fof(f403,plain,
coll(sk0_26,sk0_23,sk0_20),
inference(resolution,[status(thm)],[f392,f98]) ).
fof(f424,plain,
! [X0] :
( ~ coll(sk0_26,sk0_23,X0)
| coll(sk0_20,X0,sk0_26) ),
inference(resolution,[status(thm)],[f103,f403]) ).
fof(f426,plain,
! [X0] :
( ~ coll(sk0_26,sk0_20,X0)
| coll(sk0_23,X0,sk0_26) ),
inference(resolution,[status(thm)],[f103,f392]) ).
fof(f431,plain,
! [X0] :
( ~ coll(sk0_23,sk0_24,X0)
| coll(sk0_22,X0,sk0_23) ),
inference(resolution,[status(thm)],[f103,f397]) ).
fof(f435,plain,
! [X0] :
( ~ coll(sk0_24,sk0_22,X0)
| coll(sk0_23,X0,sk0_24) ),
inference(resolution,[status(thm)],[f103,f388]) ).
fof(f439,plain,
! [X0] :
( ~ coll(sk0_21,sk0_25,X0)
| coll(sk0_26,X0,sk0_21) ),
inference(resolution,[status(thm)],[f103,f378]) ).
fof(f441,plain,
! [X0] :
( ~ coll(sk0_20,sk0_23,X0)
| coll(sk0_26,X0,sk0_20) ),
inference(resolution,[status(thm)],[f103,f376]) ).
fof(f473,plain,
coll(sk0_23,sk0_23,sk0_26),
inference(resolution,[status(thm)],[f426,f392]) ).
fof(f474,plain,
! [X0] :
( ~ coll(sk0_23,sk0_23,X0)
| coll(sk0_26,X0,sk0_23) ),
inference(resolution,[status(thm)],[f473,f103]) ).
fof(f498,plain,
coll(sk0_26,sk0_26,sk0_21),
inference(resolution,[status(thm)],[f439,f378]) ).
fof(f499,plain,
coll(sk0_26,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f441,f376]) ).
fof(f509,plain,
! [X0] :
( ~ coll(sk0_26,sk0_26,X0)
| coll(sk0_21,X0,sk0_26) ),
inference(resolution,[status(thm)],[f498,f103]) ).
fof(f707,plain,
coll(sk0_23,sk0_23,sk0_24),
inference(resolution,[status(thm)],[f435,f388]) ).
fof(f710,plain,
coll(sk0_23,sk0_24,sk0_23),
inference(resolution,[status(thm)],[f707,f98]) ).
fof(f711,plain,
coll(sk0_22,sk0_23,sk0_23),
inference(resolution,[status(thm)],[f710,f431]) ).
fof(f717,plain,
coll(sk0_23,sk0_22,sk0_23),
inference(resolution,[status(thm)],[f711,f100]) ).
fof(f726,plain,
coll(sk0_23,sk0_23,sk0_22),
inference(resolution,[status(thm)],[f717,f98]) ).
fof(f775,plain,
coll(sk0_26,sk0_22,sk0_23),
inference(resolution,[status(thm)],[f474,f726]) ).
fof(f781,plain,
coll(sk0_26,sk0_23,sk0_22),
inference(resolution,[status(thm)],[f775,f98]) ).
fof(f788,plain,
coll(sk0_20,sk0_22,sk0_26),
inference(resolution,[status(thm)],[f781,f424]) ).
fof(f805,plain,
coll(sk0_20,sk0_26,sk0_22),
inference(resolution,[status(thm)],[f788,f98]) ).
fof(f867,plain,
! [X0] :
( ~ coll(sk0_20,sk0_26,X0)
| coll(sk0_22,X0,sk0_20) ),
inference(resolution,[status(thm)],[f805,f103]) ).
fof(f1156,plain,
coll(sk0_21,sk0_20,sk0_26),
inference(resolution,[status(thm)],[f509,f499]) ).
fof(f1162,plain,
coll(sk0_20,sk0_21,sk0_26),
inference(resolution,[status(thm)],[f1156,f100]) ).
fof(f1174,plain,
coll(sk0_20,sk0_26,sk0_21),
inference(resolution,[status(thm)],[f1162,f98]) ).
fof(f2339,plain,
coll(sk0_22,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f867,f1174]) ).
fof(f2350,plain,
coll(sk0_22,sk0_20,sk0_21),
inference(resolution,[status(thm)],[f2339,f98]) ).
fof(f2351,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2350,f381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 Apr 30 01:27:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.55 % Refutation found
% 0.19/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56 % Elapsed time: 0.209364 seconds
% 0.19/0.56 % CPU time: 1.516375 seconds
% 0.19/0.56 % Total memory used: 76.454 MB
% 0.19/0.56 % Net memory used: 74.295 MB
%------------------------------------------------------------------------------