TSTP Solution File: GEO543+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO543+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : Tue Apr 30 20:18:13 EDT 2024
% Result : Theorem 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 14 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 150 ( 42 ~; 39 |; 57 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 231 ( 211 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C,D,E,F] :
( ( perp(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& ~ coll(P,Q,A) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,E,F,H,A1,P,Q] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C) )
=> cyclic(P,Q,H,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,H,A1,P,Q] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C) )
=> cyclic(P,Q,H,D) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f104,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f111,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f116,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F) )
| para(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f134,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f135,plain,
! [B,C,D,E] :
( ! [A] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E) )
| cyclic(B,C,D,E) ),
inference(miniscoping,[status(esa)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f143,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f187,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f40]) ).
fof(f188,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(miniscoping,[status(esa)],[f187]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f192,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| coll(P,Q,A)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f194,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| ~ coll(P,Q,B)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f43]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f369,plain,
? [A,B,C,D,E,F,H,A1,P,Q] :
( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C)
& ~ cyclic(P,Q,H,D) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [D,H,P,Q] :
( ? [C,F] :
( ? [B,E] :
( ? [A] :
( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B) )
& coll(H,B,E)
& coll(H,C,F)
& ? [A1] : midp(A1,C,B)
& midp(P,E,B) )
& midp(Q,F,C) )
& ~ cyclic(P,Q,H,D) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_20,sk0_28,sk0_26,sk0_24)
& coll(sk0_20,sk0_26,sk0_24)
& perp(sk0_27,sk0_26,sk0_28,sk0_24)
& coll(sk0_27,sk0_28,sk0_24)
& perp(sk0_25,sk0_24,sk0_28,sk0_26)
& coll(sk0_25,sk0_28,sk0_26)
& coll(sk0_21,sk0_26,sk0_27)
& coll(sk0_21,sk0_24,sk0_25)
& midp(sk0_29,sk0_24,sk0_26)
& midp(sk0_22,sk0_27,sk0_26)
& midp(sk0_23,sk0_25,sk0_24)
& ~ cyclic(sk0_22,sk0_23,sk0_21,sk0_20) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f374,plain,
perp(sk0_27,sk0_26,sk0_28,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f383,plain,
~ cyclic(sk0_22,sk0_23,sk0_21,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f475,plain,
perp(sk0_27,sk0_26,sk0_24,sk0_28),
inference(resolution,[status(thm)],[f374,f112]) ).
fof(f595,plain,
perp(sk0_24,sk0_28,sk0_27,sk0_26),
inference(resolution,[status(thm)],[f114,f475]) ).
fof(f674,plain,
! [X0,X1] :
( ~ perp(sk0_27,sk0_26,X0,X1)
| para(sk0_24,sk0_28,X0,X1) ),
inference(resolution,[status(thm)],[f595,f117]) ).
fof(f923,plain,
para(sk0_24,sk0_28,sk0_28,sk0_24),
inference(resolution,[status(thm)],[f674,f374]) ).
fof(f929,plain,
para(sk0_28,sk0_24,sk0_24,sk0_28),
inference(resolution,[status(thm)],[f923,f107]) ).
fof(f934,plain,
para(sk0_28,sk0_24,sk0_28,sk0_24),
inference(resolution,[status(thm)],[f929,f105]) ).
fof(f1392,plain,
! [X0,X1] : eqangle(sk0_28,sk0_24,X0,X1,sk0_28,sk0_24,X0,X1),
inference(resolution,[status(thm)],[f189,f934]) ).
fof(f1419,plain,
! [X0,X1] : eqangle(sk0_28,sk0_24,sk0_28,sk0_24,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1392,f144]) ).
fof(f1816,plain,
! [X0] :
( ~ coll(sk0_28,X0,sk0_24)
| cyclic(sk0_24,sk0_24,sk0_28,X0) ),
inference(resolution,[status(thm)],[f1419,f195]) ).
fof(f1820,plain,
! [X0] :
( coll(sk0_28,X0,sk0_24)
| cyclic(sk0_24,sk0_24,sk0_28,X0) ),
inference(resolution,[status(thm)],[f1419,f193]) ).
fof(f1821,plain,
! [X0] : cyclic(sk0_24,sk0_24,sk0_28,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f1816]) ).
fof(f1827,plain,
! [X0,X1] :
( ~ cyclic(sk0_24,sk0_24,sk0_28,X0)
| cyclic(sk0_24,sk0_28,X1,X0) ),
inference(resolution,[status(thm)],[f1821,f136]) ).
fof(f1828,plain,
! [X0,X1] : cyclic(sk0_24,sk0_28,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1827,f1821]) ).
fof(f1834,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_24,sk0_28,X0,X1)
| cyclic(sk0_28,X0,X2,X1) ),
inference(resolution,[status(thm)],[f1828,f136]) ).
fof(f1835,plain,
! [X0,X1,X2] : cyclic(sk0_28,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f1834,f1828]) ).
fof(f1849,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_28,X0,X1,X2)
| cyclic(X0,X1,X3,X2) ),
inference(resolution,[status(thm)],[f1835,f136]) ).
fof(f1850,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f1835]) ).
fof(f1851,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f383,f1850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO543+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n025.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 01:42:26 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47 % Elapsed time: 0.205048 seconds
% 0.10/0.47 % CPU time: 1.548608 seconds
% 0.10/0.47 % Total memory used: 80.939 MB
% 0.10/0.47 % Net memory used: 78.126 MB
%------------------------------------------------------------------------------