TSTP Solution File: GEO542+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:18:12 EDT 2024
% Result : Theorem 1.93s 0.58s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 26
% Syntax : Number of formulae : 144 ( 9 unt; 0 def)
% Number of atoms : 369 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 396 ( 171 ~; 166 |; 32 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 505 ( 491 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
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(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(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ),
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(f19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
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(f39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
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(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(f44,axiom,
! [A,B,C,P,Q,R] :
( ( cyclic(A,B,C,P)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,R)
& eqangle(C,A,C,B,R,P,R,Q) )
=> cong(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& para(E,F,B,C)
& coll(F,A,C) )
=> midp(F,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,A1,B1,C1,O] :
( ( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C) )
=> perp(O,A1,B1,C1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,A1,B1,C1,O] :
( ( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C) )
=> perp(O,A1,B1,C1) ),
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(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(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(f121,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f123,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
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(f139,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
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(f184,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f185,plain,
! [A,B,C,D] :
( ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(miniscoping,[status(esa)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
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(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(f196,plain,
! [A,B,C,P,Q,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f197,plain,
! [A,B,P,Q] :
( ! [C,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q) )
| cong(A,B,P,Q) ),
inference(miniscoping,[status(esa)],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f202,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ para(E,F,B,C)
| ~ coll(F,A,C)
| midp(F,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f46]) ).
fof(f203,plain,
! [A,C,F] :
( ! [B,E] :
( ~ midp(E,A,B)
| ~ para(E,F,B,C) )
| ~ coll(F,A,C)
| midp(F,A,C) ),
inference(miniscoping,[status(esa)],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| ~ coll(X3,X1,X4)
| midp(X3,X1,X4) ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f220,plain,
! [A,B,C,M] :
( ~ perp(A,B,B,C)
| ~ midp(M,A,C)
| cong(A,M,B,M) ),
inference(pre_NNF_transformation,[status(esa)],[f53]) ).
fof(f221,plain,
! [A,B,M] :
( ! [C] :
( ~ perp(A,B,B,C)
| ~ midp(M,A,C) )
| cong(A,M,B,M) ),
inference(miniscoping,[status(esa)],[f220]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f223,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f224,plain,
! [A,B,C] :
( ! [O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C) )
| perp(A,B,B,C) ),
inference(miniscoping,[status(esa)],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3] :
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f231,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f255,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f67]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f257,plain,
! [A,B,C] :
( ~ cong(A,B,A,C)
| ~ coll(A,B,C)
| midp(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f68]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f259,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f69]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f261,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f70]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f261]) ).
fof(f369,plain,
? [A,B,C,A1,B1,C1,O] :
( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C)
& ~ perp(O,A1,B1,C1) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A1,B1,C1,O] :
( ? [A,B,C] :
( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C) )
& ~ perp(O,A1,B1,C1) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( midp(sk0_20,sk0_26,sk0_25)
& midp(sk0_21,sk0_26,sk0_24)
& midp(sk0_22,sk0_25,sk0_24)
& circle(sk0_23,sk0_24,sk0_25,sk0_26)
& ~ perp(sk0_23,sk0_20,sk0_21,sk0_22) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f373,plain,
midp(sk0_21,sk0_26,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f376,plain,
~ perp(sk0_23,sk0_20,sk0_21,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
midp(sk0_21,sk0_24,sk0_26),
inference(resolution,[status(thm)],[f122,f373]) ).
fof(f385,plain,
coll(sk0_21,sk0_24,sk0_26),
inference(resolution,[status(thm)],[f262,f378]) ).
fof(f391,plain,
cong(sk0_21,sk0_24,sk0_21,sk0_26),
inference(resolution,[status(thm)],[f260,f378]) ).
fof(f419,plain,
( spl0_6
<=> coll(sk0_21,sk0_24,sk0_26) ),
introduced(split_symbol_definition) ).
fof(f421,plain,
( ~ coll(sk0_21,sk0_24,sk0_26)
| spl0_6 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f447,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f385]) ).
fof(f448,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f466,plain,
! [X0] :
( ~ cong(sk0_21,sk0_24,sk0_21,X0)
| circle(sk0_21,sk0_24,X0,sk0_26) ),
inference(resolution,[status(thm)],[f124,f391]) ).
fof(f585,plain,
circle(sk0_21,sk0_24,sk0_26,sk0_26),
inference(resolution,[status(thm)],[f466,f391]) ).
fof(f587,plain,
( spl0_35
<=> perp(sk0_24,sk0_26,sk0_26,sk0_26) ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( perp(sk0_24,sk0_26,sk0_26,sk0_26)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( ~ coll(sk0_21,sk0_24,sk0_26)
| perp(sk0_24,sk0_26,sk0_26,sk0_26) ),
inference(resolution,[status(thm)],[f585,f225]) ).
fof(f591,plain,
( ~ spl0_6
| spl0_35 ),
inference(split_clause,[status(thm)],[f590,f419,f587]) ).
fof(f646,plain,
( perp(sk0_26,sk0_26,sk0_24,sk0_26)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f588,f114]) ).
fof(f992,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_24,sk0_26)
| para(X0,X1,sk0_26,sk0_26)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f117,f588]) ).
fof(f1427,plain,
( para(sk0_26,sk0_26,sk0_26,sk0_26)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f992,f646]) ).
fof(f1542,plain,
! [X0,X1] :
( eqangle(sk0_26,sk0_26,X0,X1,sk0_26,sk0_26,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f189,f1427]) ).
fof(f1572,plain,
! [X0,X1] :
( eqangle(sk0_26,sk0_26,sk0_26,sk0_26,X0,X1,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1542,f144]) ).
fof(f1574,plain,
! [X0,X1] :
( eqangle(X0,X1,sk0_26,sk0_26,X0,X1,sk0_26,sk0_26)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1542,f140]) ).
fof(f1715,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1574,f186]) ).
fof(f1723,plain,
! [X0,X1] :
( para(X0,X1,X1,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1715,f105]) ).
fof(f1724,plain,
! [X0,X1] :
( coll(X0,X1,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1715,f256]) ).
fof(f1732,plain,
! [X0,X1] :
( coll(X0,X1,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1724,f100]) ).
fof(f1742,plain,
! [X0,X1] :
( coll(X0,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1732,f98]) ).
fof(f1743,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1742,f103]) ).
fof(f1744,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1743,f1742]) ).
fof(f1814,plain,
! [X0] :
( ~ coll(sk0_26,X0,sk0_26)
| cyclic(sk0_26,sk0_26,sk0_26,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f195,f1572]) ).
fof(f1815,plain,
! [X0] :
( cyclic(sk0_26,sk0_26,sk0_26,X0)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1814,f1732]) ).
fof(f1880,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| ~ coll(X2,X1,X2)
| midp(X2,X1,X2)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f204,f1715]) ).
fof(f1881,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| midp(X2,X1,X2)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1880,f1732]) ).
fof(f1882,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| midp(X3,X1,X4)
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f1744]) ).
fof(f1885,plain,
! [X0,X1,X2,X3] :
( ~ circle(X0,X1,X2,X3)
| perp(X1,X2,X2,X3)
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f225,f1744]) ).
fof(f1886,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f1744]) ).
fof(f1889,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X1,X2,X3,X1,X0,X2,X3)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1723,f189]) ).
fof(f1904,plain,
! [X0,X1] :
( ~ cyclic(sk0_26,sk0_26,sk0_26,X0)
| cyclic(sk0_26,sk0_26,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1815,f136]) ).
fof(f1905,plain,
! [X0,X1] :
( cyclic(sk0_26,sk0_26,X0,X1)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1904,f1815]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1882,f1723]) ).
fof(f1920,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_26,sk0_26,X0,X1)
| cyclic(sk0_26,X0,X1,X2)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1905,f136]) ).
fof(f1921,plain,
! [X0,X1,X2] :
( cyclic(sk0_26,X0,X1,X2)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f1905]) ).
fof(f1926,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_26,X0,X1,X2)
| cyclic(X0,X1,X2,X3)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1921,f136]) ).
fof(f1927,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1926,f1921]) ).
fof(f1931,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ eqangle(X2,X0,X2,X1,X4,X5,X4,X3)
| cong(X0,X1,X5,X3)
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f1927]) ).
fof(f1932,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X4,X3,X5)
| cong(X0,X1,X4,X5)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f1927]) ).
fof(f2020,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| cong(X1,X2,X4,X5)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1932,f1927]) ).
fof(f2025,plain,
! [X0,X1] :
( cong(X0,X1,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2020,f1889]) ).
fof(f2031,plain,
! [X0,X1] :
( midp(X0,X1,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2025,f1886]) ).
fof(f2053,plain,
! [X0,X1] :
( midp(X0,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2031,f1917]) ).
fof(f2054,plain,
! [X0,X1] :
( midp(X0,X1,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2031,f1881]) ).
fof(f2080,plain,
! [X0,X1] :
( cong(X0,X0,X0,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2053,f260]) ).
fof(f2131,plain,
! [X0,X1,X2] :
( ~ cong(X0,X0,X0,X1)
| circle(X0,X0,X1,X2)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2080,f124]) ).
fof(f2132,plain,
! [X0,X1,X2] :
( circle(X0,X0,X1,X2)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2131,f2080]) ).
fof(f2165,plain,
! [X0,X1,X2] :
( perp(X0,X1,X1,X2)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2132,f1885]) ).
fof(f2178,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| cong(X1,X0,X3,X0)
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f2165]) ).
fof(f2238,plain,
! [X0,X1,X2] :
( cong(X0,X1,X2,X1)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2178,f2054]) ).
fof(f2271,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X3,X1)
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f2238]) ).
fof(f2272,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f2238]) ).
fof(f2289,plain,
( $false
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2272]) ).
fof(f2290,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f2289]) ).
fof(f2291,plain,
$false,
inference(sat_refutation,[status(thm)],[f448,f591,f2290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n031.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 02:08:43 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.16/0.31 % Drodi V3.6.0
% 1.93/0.58 % Refutation found
% 1.93/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.93/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.17/0.60 % Elapsed time: 0.292922 seconds
% 2.17/0.60 % CPU time: 2.199280 seconds
% 2.17/0.60 % Total memory used: 82.535 MB
% 2.17/0.60 % Net memory used: 79.783 MB
%------------------------------------------------------------------------------