TSTP Solution File: GEO632+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO632+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:18:28 EDT 2024
% Result : Theorem 3.72s 0.86s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of formulae : 179 ( 45 unt; 0 def)
% Number of atoms : 399 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 355 ( 135 ~; 139 |; 48 &)
% ( 12 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 13 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 373 ( 353 !; 20 ?)
% 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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C,D,E,F] :
( ( cong(A,B,C,D)
& cong(C,D,E,F) )
=> cong(A,B,E,F) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& midp(M,C,D) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& circle(F,A,P,NWPNT1)
& coll(P,A,A1)
& circle(F,A,Q,NWPNT2)
& coll(Q,A,S) )
=> para(B,C,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& circle(F,A,P,NWPNT1)
& coll(P,A,A1)
& circle(F,A,Q,NWPNT2)
& coll(Q,A,S) )
=> para(B,C,P,Q) ),
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(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(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(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(f152,plain,
! [A,B,C,D,E,F] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f153,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F) )
| cong(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
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(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(f247,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D)
| para(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f64]) ).
fof(f248,plain,
! [A,B,C,D] :
( ! [M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D) )
| para(A,C,B,D) ),
inference(miniscoping,[status(esa)],[f247]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f250,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f251,plain,
! [C,D,M] :
( ! [A,B] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C) )
| midp(M,C,D) ),
inference(miniscoping,[status(esa)],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X4,X2,X3)
| midp(X0,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f251]) ).
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,S,F,P,Q,NWPNT1,NWPNT2] :
( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& circle(F,A,P,NWPNT1)
& coll(P,A,A1)
& circle(F,A,Q,NWPNT2)
& coll(Q,A,S)
& ~ para(B,C,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [B,C,P,Q] :
( ? [A,S] :
( ? [F] :
( ? [A1] :
( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& ? [NWPNT1] : circle(F,A,P,NWPNT1)
& coll(P,A,A1) )
& ? [NWPNT2] : circle(F,A,Q,NWPNT2) )
& coll(Q,A,S) )
& ~ para(B,C,P,Q) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( midp(sk0_27,sk0_21,sk0_20)
& eqangle(sk0_25,sk0_24,sk0_24,sk0_20,sk0_21,sk0_24,sk0_24,sk0_27)
& coll(sk0_25,sk0_20,sk0_21)
& circle(sk0_26,sk0_24,sk0_20,sk0_21)
& circle(sk0_26,sk0_24,sk0_22,sk0_28)
& coll(sk0_22,sk0_24,sk0_27)
& circle(sk0_26,sk0_24,sk0_23,sk0_29)
& coll(sk0_23,sk0_24,sk0_25)
& ~ para(sk0_20,sk0_21,sk0_22,sk0_23) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
midp(sk0_27,sk0_21,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f374,plain,
coll(sk0_25,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f380,plain,
~ para(sk0_20,sk0_21,sk0_22,sk0_23),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f383,plain,
coll(sk0_25,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f98,f374]) ).
fof(f391,plain,
coll(sk0_21,sk0_25,sk0_20),
inference(resolution,[status(thm)],[f100,f383]) ).
fof(f403,plain,
! [X0] :
( ~ coll(sk0_21,sk0_25,X0)
| coll(sk0_20,X0,sk0_21) ),
inference(resolution,[status(thm)],[f103,f391]) ).
fof(f413,plain,
! [X0] :
( ~ coll(sk0_25,sk0_20,X0)
| coll(sk0_21,X0,sk0_25) ),
inference(resolution,[status(thm)],[f103,f374]) ).
fof(f435,plain,
midp(sk0_27,sk0_20,sk0_21),
inference(resolution,[status(thm)],[f122,f372]) ).
fof(f437,plain,
coll(sk0_27,sk0_20,sk0_21),
inference(resolution,[status(thm)],[f262,f435]) ).
fof(f438,plain,
coll(sk0_27,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f262,f372]) ).
fof(f439,plain,
! [X0] :
( ~ coll(sk0_27,sk0_20,X0)
| coll(sk0_21,X0,sk0_27) ),
inference(resolution,[status(thm)],[f437,f103]) ).
fof(f440,plain,
coll(sk0_20,sk0_27,sk0_21),
inference(resolution,[status(thm)],[f437,f100]) ).
fof(f442,plain,
! [X0] :
( ~ coll(sk0_27,sk0_21,X0)
| coll(sk0_20,X0,sk0_27) ),
inference(resolution,[status(thm)],[f438,f103]) ).
fof(f447,plain,
coll(sk0_20,sk0_21,sk0_27),
inference(resolution,[status(thm)],[f440,f98]) ).
fof(f451,plain,
! [X0] :
( ~ coll(sk0_20,sk0_21,X0)
| coll(sk0_27,X0,sk0_20) ),
inference(resolution,[status(thm)],[f447,f103]) ).
fof(f457,plain,
coll(sk0_20,sk0_20,sk0_21),
inference(resolution,[status(thm)],[f403,f391]) ).
fof(f460,plain,
coll(sk0_20,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f457,f98]) ).
fof(f461,plain,
! [X0] :
( ~ coll(sk0_20,sk0_21,X0)
| coll(sk0_20,X0,sk0_20) ),
inference(resolution,[status(thm)],[f460,f103]) ).
fof(f462,plain,
coll(sk0_21,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f460,f100]) ).
fof(f520,plain,
coll(sk0_21,sk0_21,sk0_25),
inference(resolution,[status(thm)],[f413,f374]) ).
fof(f534,plain,
coll(sk0_21,sk0_25,sk0_21),
inference(resolution,[status(thm)],[f520,f98]) ).
fof(f546,plain,
coll(sk0_20,sk0_21,sk0_21),
inference(resolution,[status(thm)],[f534,f403]) ).
fof(f562,plain,
coll(sk0_21,sk0_20,sk0_21),
inference(resolution,[status(thm)],[f546,f100]) ).
fof(f577,plain,
coll(sk0_21,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f562,f98]) ).
fof(f585,plain,
cong(sk0_27,sk0_20,sk0_27,sk0_21),
inference(resolution,[status(thm)],[f260,f435]) ).
fof(f586,plain,
cong(sk0_27,sk0_21,sk0_27,sk0_20),
inference(resolution,[status(thm)],[f260,f372]) ).
fof(f601,plain,
! [X0] :
( ~ cong(sk0_27,sk0_21,sk0_27,X0)
| circle(sk0_27,sk0_21,sk0_20,X0) ),
inference(resolution,[status(thm)],[f124,f586]) ).
fof(f614,plain,
coll(sk0_20,sk0_20,sk0_27),
inference(resolution,[status(thm)],[f442,f438]) ).
fof(f620,plain,
coll(sk0_20,sk0_27,sk0_20),
inference(resolution,[status(thm)],[f614,f98]) ).
fof(f626,plain,
coll(sk0_27,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f620,f100]) ).
fof(f649,plain,
circle(sk0_27,sk0_21,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f601,f586]) ).
fof(f705,plain,
coll(sk0_21,sk0_21,sk0_27),
inference(resolution,[status(thm)],[f439,f437]) ).
fof(f738,plain,
coll(sk0_21,sk0_27,sk0_21),
inference(resolution,[status(thm)],[f705,f98]) ).
fof(f772,plain,
coll(sk0_27,sk0_21,sk0_21),
inference(resolution,[status(thm)],[f738,f100]) ).
fof(f971,plain,
coll(sk0_27,sk0_27,sk0_20),
inference(resolution,[status(thm)],[f451,f447]) ).
fof(f983,plain,
coll(sk0_27,sk0_20,sk0_27),
inference(resolution,[status(thm)],[f971,f98]) ).
fof(f994,plain,
! [X0,X1] :
( ~ cong(sk0_27,sk0_20,X0,X1)
| cong(sk0_27,sk0_21,X0,X1) ),
inference(resolution,[status(thm)],[f154,f586]) ).
fof(f1020,plain,
coll(sk0_21,sk0_27,sk0_27),
inference(resolution,[status(thm)],[f983,f439]) ).
fof(f1022,plain,
coll(sk0_20,sk0_27,sk0_27),
inference(resolution,[status(thm)],[f983,f100]) ).
fof(f1248,plain,
cong(sk0_27,sk0_21,sk0_27,sk0_21),
inference(resolution,[status(thm)],[f994,f585]) ).
fof(f1317,plain,
coll(sk0_20,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f461,f460]) ).
fof(f1549,plain,
( spl0_0
<=> coll(sk0_27,sk0_21,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f1551,plain,
( ~ coll(sk0_27,sk0_21,sk0_20)
| spl0_0 ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1562,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1551,f438]) ).
fof(f1563,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f2552,plain,
( spl0_7
<=> coll(sk0_27,sk0_21,sk0_21) ),
introduced(split_symbol_definition) ).
fof(f2554,plain,
( ~ coll(sk0_27,sk0_21,sk0_21)
| spl0_7 ),
inference(component_clause,[status(thm)],[f2552]) ).
fof(f2560,plain,
( spl0_9
<=> perp(sk0_21,sk0_20,sk0_20,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f2561,plain,
( perp(sk0_21,sk0_20,sk0_20,sk0_20)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f2560]) ).
fof(f2563,plain,
( ~ coll(sk0_27,sk0_21,sk0_20)
| perp(sk0_21,sk0_20,sk0_20,sk0_20) ),
inference(resolution,[status(thm)],[f225,f649]) ).
fof(f2564,plain,
( ~ spl0_0
| spl0_9 ),
inference(split_clause,[status(thm)],[f2563,f1549,f2560]) ).
fof(f2589,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2554,f772]) ).
fof(f2590,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2719,plain,
( perp(sk0_20,sk0_20,sk0_21,sk0_20)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f2561,f114]) ).
fof(f2720,plain,
! [X0,X1] :
( ~ perp(sk0_20,sk0_20,X0,X1)
| para(sk0_21,sk0_20,X0,X1)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f2561,f117]) ).
fof(f2848,plain,
( para(sk0_21,sk0_20,sk0_21,sk0_20)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f2720,f2719]) ).
fof(f2964,plain,
! [X0,X1] :
( ~ midp(sk0_27,X0,X1)
| para(sk0_21,X0,sk0_20,X1) ),
inference(resolution,[status(thm)],[f249,f372]) ).
fof(f3114,plain,
( spl0_44
<=> coll(sk0_27,sk0_20,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f3116,plain,
( ~ coll(sk0_27,sk0_20,sk0_20)
| spl0_44 ),
inference(component_clause,[status(thm)],[f3114]) ).
fof(f3125,plain,
( $false
| spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f626]) ).
fof(f3126,plain,
spl0_44,
inference(contradiction_clause,[status(thm)],[f3125]) ).
fof(f3132,plain,
! [X0,X1] :
( eqangle(sk0_21,sk0_20,X0,X1,sk0_21,sk0_20,X0,X1)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f2848,f189]) ).
fof(f3197,plain,
( spl0_46
<=> coll(sk0_21,sk0_21,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f3199,plain,
( ~ coll(sk0_21,sk0_21,sk0_20)
| spl0_46 ),
inference(component_clause,[status(thm)],[f3197]) ).
fof(f3209,plain,
! [X0,X1] :
( eqangle(X0,X1,sk0_21,sk0_20,X0,X1,sk0_21,sk0_20)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f3132,f140]) ).
fof(f3328,plain,
para(sk0_21,sk0_21,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f2964,f372]) ).
fof(f3395,plain,
( spl0_50
<=> coll(sk0_21,sk0_20,sk0_21) ),
introduced(split_symbol_definition) ).
fof(f3397,plain,
( ~ coll(sk0_21,sk0_20,sk0_21)
| spl0_50 ),
inference(component_clause,[status(thm)],[f3395]) ).
fof(f3402,plain,
( spl0_51
<=> coll(sk0_21,sk0_27,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f3404,plain,
( ~ coll(sk0_21,sk0_27,sk0_27)
| spl0_51 ),
inference(component_clause,[status(thm)],[f3402]) ).
fof(f3410,plain,
( spl0_53
<=> coll(sk0_20,sk0_27,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f3412,plain,
( ~ coll(sk0_20,sk0_27,sk0_27)
| spl0_53 ),
inference(component_clause,[status(thm)],[f3410]) ).
fof(f3418,plain,
( spl0_55
<=> midp(sk0_27,sk0_21,sk0_21) ),
introduced(split_symbol_definition) ).
fof(f3419,plain,
( midp(sk0_27,sk0_21,sk0_21)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f3418]) ).
fof(f3421,plain,
( ~ coll(sk0_27,sk0_21,sk0_21)
| midp(sk0_27,sk0_21,sk0_21) ),
inference(resolution,[status(thm)],[f258,f1248]) ).
fof(f3422,plain,
( ~ spl0_7
| spl0_55 ),
inference(split_clause,[status(thm)],[f3421,f2552,f3418]) ).
fof(f3432,plain,
( $false
| spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f3397,f562]) ).
fof(f3433,plain,
spl0_50,
inference(contradiction_clause,[status(thm)],[f3432]) ).
fof(f3434,plain,
( $false
| spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f3412,f1022]) ).
fof(f3435,plain,
spl0_53,
inference(contradiction_clause,[status(thm)],[f3434]) ).
fof(f3436,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f3404,f1020]) ).
fof(f3437,plain,
spl0_51,
inference(contradiction_clause,[status(thm)],[f3436]) ).
fof(f3438,plain,
( $false
| spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f3199,f577]) ).
fof(f3439,plain,
spl0_46,
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3572,plain,
! [X0,X1] :
( ~ para(sk0_21,X0,sk0_21,X1)
| ~ para(sk0_21,X1,sk0_21,X0)
| midp(sk0_27,X0,X1)
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f3419,f252]) ).
fof(f3573,plain,
! [X0,X1] :
( ~ para(sk0_21,X0,sk0_21,X1)
| midp(sk0_27,X0,X1)
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f3572,f107]) ).
fof(f3698,plain,
( spl0_65
<=> coll(sk0_20,sk0_20,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f3700,plain,
( ~ coll(sk0_20,sk0_20,sk0_20)
| spl0_65 ),
inference(component_clause,[status(thm)],[f3698]) ).
fof(f3709,plain,
( $false
| spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f3700,f1317]) ).
fof(f3710,plain,
spl0_65,
inference(contradiction_clause,[status(thm)],[f3709]) ).
fof(f3712,plain,
( spl0_66
<=> coll(sk0_21,sk0_20,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f3714,plain,
( ~ coll(sk0_21,sk0_20,sk0_20)
| spl0_66 ),
inference(component_clause,[status(thm)],[f3712]) ).
fof(f3724,plain,
( $false
| spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f3714,f462]) ).
fof(f3725,plain,
spl0_66,
inference(contradiction_clause,[status(thm)],[f3724]) ).
fof(f3757,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f3209,f186]) ).
fof(f3762,plain,
! [X0] :
( midp(sk0_27,X0,X0)
| ~ spl0_9
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f3757,f3573]) ).
fof(f4261,plain,
( spl0_69
<=> para(sk0_21,sk0_21,sk0_20,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f4263,plain,
( ~ para(sk0_21,sk0_21,sk0_20,sk0_20)
| spl0_69 ),
inference(component_clause,[status(thm)],[f4261]) ).
fof(f4280,plain,
( $false
| spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f4263,f3328]) ).
fof(f4281,plain,
spl0_69,
inference(contradiction_clause,[status(thm)],[f4280]) ).
fof(f4662,plain,
! [X0] :
( cong(sk0_27,X0,sk0_27,X0)
| ~ spl0_9
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f3762,f260]) ).
fof(f4866,plain,
! [X0,X1] :
( ~ cong(sk0_27,X0,sk0_27,X0)
| perp(sk0_27,sk0_27,X1,X0)
| ~ spl0_9
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f4662,f232]) ).
fof(f4867,plain,
! [X0,X1] :
( perp(sk0_27,sk0_27,X0,X1)
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f4866,f4662]) ).
fof(f4899,plain,
! [X0,X1] :
( perp(X0,X1,sk0_27,sk0_27)
| ~ spl0_9
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f4867,f114]) ).
fof(f4971,plain,
! [X0,X1,X2,X3] :
( ~ perp(sk0_27,sk0_27,X0,X1)
| para(X2,X3,X0,X1)
| ~ spl0_9
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f4899,f117]) ).
fof(f4972,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f4971,f4867]) ).
fof(f4982,plain,
( $false
| ~ spl0_9
| ~ spl0_55 ),
inference(backward_subsumption_resolution,[status(thm)],[f380,f4972]) ).
fof(f4983,plain,
( ~ spl0_9
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f4982]) ).
fof(f4984,plain,
$false,
inference(sat_refutation,[status(thm)],[f1563,f2564,f2590,f3126,f3422,f3433,f3435,f3437,f3439,f3710,f3725,f4281,f4983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GEO632+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n022.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Apr 30 01:24:28 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 3.72/0.86 % Refutation found
% 3.72/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.72/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.72/0.88 % Elapsed time: 0.530634 seconds
% 3.72/0.88 % CPU time: 4.039052 seconds
% 3.72/0.88 % Total memory used: 104.423 MB
% 3.72/0.88 % Net memory used: 97.484 MB
%------------------------------------------------------------------------------