0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.11	% Command    : tptp2X_and_run_prover9 %d %s
0.10/0.31	% Computer   : n006.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1200
0.10/0.31	% DateTime   : Tue Jul 13 14:19:40 EDT 2021
0.10/0.31	% CPUTime    : 
0.82/1.12	============================== Prover9 ===============================
0.82/1.12	Prover9 (32) version 2009-11A, November 2009.
0.82/1.12	Process 3686 was started by sandbox on n006.cluster.edu,
0.82/1.12	Tue Jul 13 14:19:41 2021
0.82/1.12	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_3533_n006.cluster.edu".
0.82/1.12	============================== end of head ===========================
0.82/1.12	
0.82/1.12	============================== INPUT =================================
0.82/1.12	
0.82/1.12	% Reading from file /tmp/Prover9_3533_n006.cluster.edu
0.82/1.12	
0.82/1.12	set(prolog_style_variables).
0.82/1.12	set(auto2).
0.82/1.12	    % set(auto2) -> set(auto).
0.82/1.12	    % set(auto) -> set(auto_inference).
0.82/1.12	    % set(auto) -> set(auto_setup).
0.82/1.12	    % set(auto_setup) -> set(predicate_elim).
0.82/1.12	    % set(auto_setup) -> assign(eq_defs, unfold).
0.82/1.12	    % set(auto) -> set(auto_limits).
0.82/1.12	    % set(auto_limits) -> assign(max_weight, "100.000").
0.82/1.12	    % set(auto_limits) -> assign(sos_limit, 20000).
0.82/1.12	    % set(auto) -> set(auto_denials).
0.82/1.12	    % set(auto) -> set(auto_process).
0.82/1.12	    % set(auto2) -> assign(new_constants, 1).
0.82/1.12	    % set(auto2) -> assign(fold_denial_max, 3).
0.82/1.12	    % set(auto2) -> assign(max_weight, "200.000").
0.82/1.12	    % set(auto2) -> assign(max_hours, 1).
0.82/1.12	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.82/1.12	    % set(auto2) -> assign(max_seconds, 0).
0.82/1.12	    % set(auto2) -> assign(max_minutes, 5).
0.82/1.12	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.82/1.12	    % set(auto2) -> set(sort_initial_sos).
0.82/1.12	    % set(auto2) -> assign(sos_limit, -1).
0.82/1.12	    % set(auto2) -> assign(lrs_ticks, 3000).
0.82/1.12	    % set(auto2) -> assign(max_megs, 400).
0.82/1.12	    % set(auto2) -> assign(stats, some).
0.82/1.12	    % set(auto2) -> clear(echo_input).
0.82/1.12	    % set(auto2) -> set(quiet).
0.82/1.12	    % set(auto2) -> clear(print_initial_clauses).
0.82/1.12	    % set(auto2) -> clear(print_given).
0.82/1.12	assign(lrs_ticks,-1).
0.82/1.12	assign(sos_limit,10000).
0.82/1.12	assign(order,kbo).
0.82/1.12	set(lex_order_vars).
0.82/1.12	clear(print_given).
0.82/1.12	
0.82/1.12	% formulas(sos).  % not echoed (95 formulas)
0.82/1.12	
0.82/1.12	============================== end of input ==========================
0.82/1.12	
0.82/1.12	% From the command line: assign(max_seconds, 1200).
0.82/1.12	
0.82/1.12	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.82/1.12	
0.82/1.12	% Formulas that are not ordinary clauses:
0.82/1.12	1 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqratio(A,B,A,C,P,Q,P,R))) # label(ruleD59) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	2 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,C) -> coll(Q,C,A) & perp(B,Q,C,A) & perp(A,P,C,B) & coll(P,C,B))) # label(ruleX10) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	3 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	4 (all A all B all O (cong(O,A,O,B) -> eqangle(O,A,A,B,A,B,O,B))) # label(ruleD46) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	5 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	6 (all A all B all C all O all M (circle(O,A,B,C) & eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	7 (all A all B all C all O all X (circle(O,A,B,C) & eqangle(A,X,A,B,C,A,C,B) -> perp(O,A,A,X))) # label(ruleD49) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	8 (all A all B all C all D all M (midp(M,A,B) & para(A,D,B,C) & para(A,C,B,D) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	9 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX4) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	10 (all A all B all C all P all Q all R (contri(A,B,C,P,Q,R) -> cong(A,B,P,Q))) # label(ruleD62) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	11 (all A all B all C all D all O (cong(O,A,O,D) & cong(O,A,O,C) & cong(O,A,O,B) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	12 (all A all B all P all Q (cyclic(A,B,P,Q) -> eqangle(P,A,P,B,Q,A,Q,B))) # label(ruleD41) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	13 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(B,A,C,D,P,Q,U,V))) # label(ruleD18) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	14 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	15 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	16 (all A all B all C all D all M exists P (perp(C,A,C,D) & midp(M,B,D) & perp(A,B,A,C) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	17 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	18 (all A all B all P all Q (cyclic(A,B,P,Q) & cong(A,Q,B,Q) & cong(A,P,B,P) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	19 (all A all B all C all D all E all F (cong(C,D,E,F) & cong(A,B,C,D) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	20 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	21 (all A all B all O all X exists M (eqangle(A,O,O,X,O,X,O,B) & cong(O,A,O,B) -> coll(M,O,X) & coll(B,A,M))) # label(ruleX2) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	22 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	23 (all A all B all C all D all E all F (para(A,B,C,D) & para(C,D,E,F) -> para(A,B,E,F))) # label(ruleD6) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	24 (all A all B all C all P all Q all R (contri(A,C,B,P,R,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD35) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	25 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -perp(A,B,C,D) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	26 (all A all B all C all D all M exists O (cyclic(A,B,C,D) & para(A,B,C,D) & midp(M,A,B) -> circle(O,A,B,C))) # label(ruleX13) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	27 (all A all B all C all D all P all Q exists R (coll(P,A,C) & coll(P,B,D) & coll(Q,A,B) & para(A,B,C,D) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	28 (all A all B all O all X exists M (perp(O,X,A,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	29 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	30 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(A,B,P,Q,C,D,U,V))) # label(ruleD29) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	31 (all A all B all P all X all Y exists Q (eqangle(A,P,B,P,A,X,B,Y) & -coll(A,B,P) -> eqangle(A,P,B,P,A,Q,B,Q) & cyclic(X,B,P,Q))) # label(ruleX5) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	32 (all A all B all C all D all P all Q all U all V all E all F all G all H (eqangle(A,B,C,D,P,Q,U,V) & eqangle(P,Q,U,V,E,F,G,H) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	33 (all A all B all C all P all Q all R (contri(B,A,C,Q,P,R) -> contri(A,B,C,P,Q,R))) # label(ruleD36) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	34 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(C,D,A,B,U,V,P,Q))) # label(ruleD27) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	35 (all A all B all C all D all O (coll(O,B,D) & coll(O,A,C) & para(A,B,C,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	36 (all A all B all C all E all F all G all P all Q all R (contri(A,B,C,E,F,G) & contri(E,F,G,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause).  [assumption].
0.82/1.12	37 (all A all B all C all E all F all G all P all Q all R (simtri(A,B,C,E,F,G) & simtri(E,F,G,P,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD34) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	38 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	39 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	40 (all A all B all C all D all P all Q all U all V (cong(P,Q,U,V) & eqratio(A,B,C,D,P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	41 (all A all B all C all P all Q all R (simtri(A,C,B,P,R,Q) -> simtri(A,B,C,P,Q,R))) # label(ruleD31) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	42 (all A all B all C all D exists O (cyclic(A,B,C,D) & perp(A,C,C,B) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	43 (all A all B all C all E all F exists P (coll(B,E,F) & perp(A,C,C,B) -> perp(P,A,E,F) & coll(P,E,F))) # label(ruleX15) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	44 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	45 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	46 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	47 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	48 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	49 (all A all B all C all D all E all F (perp(C,D,E,F) & perp(A,B,C,D) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	50 (all A all B all O (-coll(O,A,B) & eqangle(O,A,A,B,A,B,O,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	51 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(B,A,C,D,P,Q,U,V))) # label(ruleD26) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	52 (all A all B all C all D all E all F (perp(C,D,E,F) & para(A,B,C,D) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	53 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	54 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & eqangle(A,C,B,C,P,R,Q,R) & -coll(A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	55 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) & cong(A,B,P,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	56 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	57 (all A all B all C all O all M (midp(M,B,C) & circle(O,A,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	58 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & midp(N,C,D) & coll(D,A,B) & coll(C,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	59 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	60 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(P,Q,U,V,A,B,C,D))) # label(ruleD28) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	61 (all A all B all C all P all Q all R (contri(P,Q,R,A,B,C) -> contri(A,B,C,P,Q,R))) # label(ruleD37) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	62 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	63 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> para(P,N,A,C) & para(P,M,B,D) & midp(P,A,D))) # label(ruleX6) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	64 (all A all B all C (cong(A,B,A,C) & coll(A,B,C) -> midp(A,B,C))) # label(ruleD67) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	65 (all A all B all C all D (para(A,B,C,D) & cyclic(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	66 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(P,Q,U,V,A,B,C,D))) # label(ruleD20) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	67 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -para(A,B,C,D) -> perp(A,B,C,D))) # label(ruleD71) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	68 (all A all B all M all O (perp(O,M,A,B) & midp(M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	69 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(O,C,O,P) & cong(B,C,B,P) & para(P,C,A,B))) # label(ruleX9) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	70 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	71 (all A all B all O exists C (cong(O,A,O,B) & perp(A,O,O,B) -> coll(A,O,C) & cong(O,A,O,C))) # label(ruleX17) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	72 (all A all B all C all P all Q all R (simtri(B,A,C,Q,P,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD32) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	73 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & eqangle(C,A,C,B,R,P,R,Q) & cyclic(A,B,C,R) & cyclic(A,B,C,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	74 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	75 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	76 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqangle(A,B,B,C,P,Q,Q,R))) # label(ruleD60) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	77 (all A all B all C all P all Q all R (simtri(P,Q,R,A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD33) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	78 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	79 (all A all M all O all X exists B (perp(O,M,M,A) & eqangle(X,O,M,O,M,O,A,O) -> coll(B,O,X) & coll(B,A,M))) # label(ruleX1) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	80 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	81 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	82 (all A all B all C all O all X (perp(O,A,A,X) & circle(O,A,B,C) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	83 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & -coll(P,Q,A) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	84 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(B,A,C,D))) # label(ruleD16) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	85 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	86 (all A all B all C all D all P all Q all U all V (para(P,Q,U,V) & eqangle(A,B,C,D,P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	87 (all A all B all C all D all M (midp(M,C,D) & midp(M,A,B) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	88 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & perp(P,Q,U,V) -> perp(A,B,C,D))) # label(ruleD74) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	89 (all A all B all M all P all Q all R all M exists X (para(A,P,R,M) & coll(P,Q,R) & para(A,P,B,Q) & midp(M,A,B) -> coll(X,M,R) & coll(X,A,Q))) # label(ruleX8) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	90 (all A all B all C all D all M all N exists P exists Q (cong(M,A,M,D) & cong(N,A,N,B) & N != M & circle(M,A,B,C) -> coll(P,A,C) & cong(P,N,N,A) & coll(Q,B,D) & cong(Q,N,N,A))) # label(ruleX12) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	91 (all A all B all C all E all F (midp(E,A,B) & midp(F,A,C) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	92 (all A all B all C all D all M all N (midp(M,A,B) & midp(N,C,D) -> eqratio(M,A,A,B,N,C,C,D))) # label(ruleD70) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	93 (all A all B all C all M (midp(M,A,C) & perp(A,B,B,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	94 (all A all B all C all D all E all F all G all H all P all Q all U all V (eqratio(P,Q,U,V,E,F,G,H) & eqratio(A,B,C,D,P,Q,U,V) -> eqratio(A,B,C,D,E,F,G,H))) # label(ruleD30) # label(axiom) # label(non_clause).  [assumption].
0.82/1.13	95 -(all A all B all P all D all E all I all F all G all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 all NWPNT9 all NWPNT01 (perp(P,A,P,B) & circle(A,P,D,NWPNT5) & circle(A,D,E,NWPNT6) & circle(B,P,I,NWPNT8) & coll(F,D,I) & circle(B,F,G,NWPNT01) & coll(G,F,B) & circle(B,P,F,NWPNT9) & circle(A,P,I,NWPNT7) & coll(E,D,A) & circle(B,P,NWPNT3,NWPNT4) & circle(A,P,NWPNT1,NWPNT2) -> perp(G,F,D,E))) # label(exemplo6GDDFULL618068) # label(negated_conjecture) # label(non_clause).  [assumption].
0.82/1.13	
0.82/1.13	============================== end of process non-clausal formulas ===
0.82/1.13	
0.82/1.13	============================== PROCESS INITIAL CLAUSES ===============
0.82/1.13	
0.82/1.13	============================== PREDICATE ELIMINATION =================
0.82/1.13	96 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f6(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom).  [clausify(26)].
0.82/1.13	97 -circle(A,B,C,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D) # label(ruleD51) # label(axiom).  [clausify(6)].
0.82/1.13	98 -circle(A,B,C,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E) # label(ruleD49) # label(axiom).  [clausify(7)].
0.82/1.13	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -eqangle(A,B,A,C,f6(A,B,C,D,E),B,f6(A,B,C,D,E),F) | -coll(F,B,C) | midp(F,B,C).  [resolve(96,d,97,a)].
0.82/1.13	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -eqangle(A,F,A,B,C,A,C,B) | perp(f6(A,B,C,D,E),A,A,F).  [resolve(96,d,98,a)].
0.82/1.13	99 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom).  [clausify(29)].
0.82/1.13	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D).  [resolve(99,c,97,a)].
0.82/1.13	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E).  [resolve(99,c,98,a)].
0.82/1.13	100 -cyclic(A,B,C,D) | -perp(A,C,C,B) | circle(f10(A,B,C,D),A,B,C) # label(ruleX14) # label(axiom).  [clausify(42)].
0.82/1.13	Derived: -cyclic(A,B,C,D) | -perp(A,C,C,B) | -eqangle(A,B,A,C,f10(A,B,C,D),B,f10(A,B,C,D),E) | -coll(E,B,C) | midp(E,B,C).  [resolve(100,c,97,a)].
0.82/1.13	Derived: -cyclic(A,B,C,D) | -perp(A,C,C,B) | -eqangle(A,E,A,B,C,A,C,B) | perp(f10(A,B,C,D),A,A,E).  [resolve(100,c,98,a)].
0.82/1.13	101 -midp(A,B,C) | -circle(D,E,B,C) | eqangle(E,B,E,C,D,B,D,A) # label(ruleD50) # label(axiom).  [clausify(57)].
0.82/1.13	Derived: -midp(A,B,C) | eqangle(D,B,D,C,f6(D,B,C,E,F),B,f6(D,B,C,E,F),A) | -cyclic(D,B,C,E) | -para(D,B,C,E) | -midp(F,D,B).  [resolve(101,b,96,d)].
0.82/1.13	Derived: -midp(A,B,C) | eqangle(D,B,D,C,E,B,E,A) | -cong(E,D,E,B) | -cong(E,D,E,C).  [resolve(101,b,99,c)].
0.82/1.13	Derived: -midp(A,B,C) | eqangle(D,B,D,C,f10(D,B,C,E),B,f10(D,B,C,E),A) | -cyclic(D,B,C,E) | -perp(D,C,C,B).  [resolve(101,b,100,c)].
0.82/1.13	102 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom).  [clausify(59)].
0.82/1.13	Derived: -coll(f6(A,B,C,D,E),A,C) | perp(A,B,B,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(102,a,96,d)].
0.82/1.13	Derived: -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C).  [resolve(102,a,99,c)].
0.82/1.13	Derived: -coll(f10(A,B,C,D),A,C) | perp(A,B,B,C) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(102,a,100,c)].
0.82/1.13	103 -circle(A,B,C,D) | perp(f16(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom).  [clausify(75)].
0.82/1.13	Derived: perp(f16(A,B,C,f6(A,B,C,D,E)),A,A,f6(A,B,C,D,E)) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(103,a,96,d)].
0.82/1.13	Derived: perp(f16(A,B,C,D),A,A,D) | -cong(D,A,D,B) | -cong(D,A,D,C).  [resolve(103,a,99,c)].
0.82/1.13	Derived: perp(f16(A,B,C,f10(A,B,C,D)),A,A,f10(A,B,C,D)) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(103,a,100,c)].
0.82/1.13	104 -perp(A,B,B,C) | -circle(A,B,D,E) | eqangle(B,C,B,D,E,B,E,D) # label(ruleD48) # label(axiom).  [clausify(82)].
0.82/1.13	Derived: -perp(f6(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(104,b,96,d)].
0.82/1.13	Derived: -perp(A,B,B,C) | eqangle(B,C,B,D,E,B,E,D) | -cong(A,B,A,D) | -cong(A,B,A,E).  [resolve(104,b,99,c)].
0.82/1.13	Derived: -perp(f10(A,B,C,D),A,A,E) | eqangle(A,E,A,B,C,A,C,B) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(104,b,100,c)].
0.82/1.13	105 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f19(B,E,F,C,A,D),B,F) # label(ruleX12) # label(axiom).  [clausify(90)].
0.82/1.13	Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | coll(f19(A,B,C,F,f6(A,B,C,D,E),V6),A,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(105,d,96,d)].
0.82/1.13	Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f19(B,E,F,C,A,D),B,F) | -cong(A,B,A,E) | -cong(A,B,A,F).  [resolve(105,d,99,c)].
0.82/1.13	Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | coll(f19(A,B,C,E,f10(A,B,C,D),F),A,C) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(105,d,100,c)].
0.82/1.13	106 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f19(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom).  [clausify(90)].
0.82/1.13	Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | cong(f19(A,B,C,F,f6(A,B,C,D,E),V6),V6,V6,A) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(106,d,96,d)].
0.82/1.13	Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f19(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F).  [resolve(106,d,99,c)].
0.82/1.13	Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | cong(f19(A,B,C,E,f10(A,B,C,D),F),F,F,A) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(106,d,100,c)].
0.82/1.13	107 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f20(B,E,F,C,A,D),E,C) # label(ruleX12) # label(axiom).  [clausify(90)].
0.82/1.13	Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | coll(f20(A,B,C,F,f6(A,B,C,D,E),V6),B,F) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(107,d,96,d)].
0.82/1.13	Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f20(B,E,F,C,A,D),E,C) | -cong(A,B,A,E) | -cong(A,B,A,F).  [resolve(107,d,99,c)].
0.82/1.13	Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | coll(f20(A,B,C,E,f10(A,B,C,D),F),B,E) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(107,d,100,c)].
0.82/1.13	108 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f20(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom).  [clausify(90)].
0.82/1.13	Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | cong(f20(A,B,C,F,f6(A,B,C,D,E),V6),V6,V6,A) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(108,d,96,d)].
0.82/1.13	Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f20(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F).  [resolve(108,d,99,c)].
0.82/1.13	Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | cong(f20(A,B,C,E,f10(A,B,C,D),F),F,F,A) | -cyclic(A,B,C,D) | -perp(A,C,C,B).  [resolve(108,d,100,c)].
0.82/1.13	109 circle(c1,c3,c4,c13) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.13	Derived: -eqangle(c3,c4,c3,c13,c1,c4,c1,A) | -coll(A,c4,c13) | midp(A,c4,c13).  [resolve(109,a,97,a)].
0.82/1.13	Derived: -eqangle(c3,A,c3,c4,c13,c3,c13,c4) | perp(c1,c3,c3,A).  [resolve(109,a,98,a)].
0.82/1.13	Derived: -midp(A,c4,c13) | eqangle(c3,c4,c3,c13,c1,c4,c1,A).  [resolve(109,a,101,b)].
0.82/1.13	Derived: -coll(c1,c3,c13) | perp(c3,c4,c4,c13).  [resolve(109,a,102,a)].
0.82/1.13	Derived: perp(f16(c3,c4,c13,c1),c3,c3,c1).  [resolve(109,a,103,a)].
0.82/1.13	Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c4,c13,c3,c13,c4).  [resolve(109,a,104,b)].
0.82/1.13	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | coll(f19(c3,c4,c13,A,c1,B),c3,c13).  [resolve(109,a,105,d)].
0.82/1.13	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | cong(f19(c3,c4,c13,A,c1,B),B,B,c3).  [resolve(109,a,106,d)].
0.82/1.13	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | coll(f20(c3,c4,c13,A,c1,B),c4,A).  [resolve(109,a,107,d)].
0.82/1.13	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | cong(f20(c3,c4,c13,A,c1,B),B,B,c3).  [resolve(109,a,108,d)].
0.82/1.13	110 circle(c1,c4,c5,c14) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.13	Derived: -eqangle(c4,c5,c4,c14,c1,c5,c1,A) | -coll(A,c5,c14) | midp(A,c5,c14).  [resolve(110,a,97,a)].
0.82/1.13	Derived: -eqangle(c4,A,c4,c5,c14,c4,c14,c5) | perp(c1,c4,c4,A).  [resolve(110,a,98,a)].
0.82/1.13	Derived: -midp(A,c5,c14) | eqangle(c4,c5,c4,c14,c1,c5,c1,A).  [resolve(110,a,101,b)].
0.82/1.13	Derived: -coll(c1,c4,c14) | perp(c4,c5,c5,c14).  [resolve(110,a,102,a)].
0.82/1.13	Derived: perp(f16(c4,c5,c14,c1),c4,c4,c1).  [resolve(110,a,103,a)].
0.82/1.13	Derived: -perp(c1,c4,c4,A) | eqangle(c4,A,c4,c5,c14,c4,c14,c5).  [resolve(110,a,104,b)].
0.82/1.13	Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | coll(f19(c4,c5,c14,A,c1,B),c4,c14).  [resolve(110,a,105,d)].
0.82/1.13	Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | cong(f19(c4,c5,c14,A,c1,B),B,B,c4).  [resolve(110,a,106,d)].
0.82/1.13	Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | coll(f20(c4,c5,c14,A,c1,B),c5,A).  [resolve(110,a,107,d)].
0.82/1.13	Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | cong(f20(c4,c5,c14,A,c1,B),B,B,c4).  [resolve(110,a,108,d)].
0.82/1.13	111 circle(c2,c3,c6,c16) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.13	Derived: -eqangle(c3,c6,c3,c16,c2,c6,c2,A) | -coll(A,c6,c16) | midp(A,c6,c16).  [resolve(111,a,97,a)].
0.82/1.13	Derived: -eqangle(c3,A,c3,c6,c16,c3,c16,c6) | perp(c2,c3,c3,A).  [resolve(111,a,98,a)].
0.82/1.13	Derived: -midp(A,c6,c16) | eqangle(c3,c6,c3,c16,c2,c6,c2,A).  [resolve(111,a,101,b)].
0.82/1.13	Derived: -coll(c2,c3,c16) | perp(c3,c6,c6,c16).  [resolve(111,a,102,a)].
0.82/1.13	Derived: perp(f16(c3,c6,c16,c2),c3,c3,c2).  [resolve(111,a,103,a)].
0.82/1.13	Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c6,c16,c3,c16,c6).  [resolve(111,a,104,b)].
0.82/1.13	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | coll(f19(c3,c6,c16,A,c2,B),c3,c16).  [resolve(111,a,105,d)].
0.82/1.13	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | cong(f19(c3,c6,c16,A,c2,B),B,B,c3).  [resolve(111,a,106,d)].
0.82/1.13	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | coll(f20(c3,c6,c16,A,c2,B),c6,A).  [resolve(111,a,107,d)].
0.82/1.13	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | cong(f20(c3,c6,c16,A,c2,B),B,B,c3).  [resolve(111,a,108,d)].
0.82/1.13	112 circle(c2,c7,c8,c18) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.13	Derived: -eqangle(c7,c8,c7,c18,c2,c8,c2,A) | -coll(A,c8,c18) | midp(A,c8,c18).  [resolve(112,a,97,a)].
0.82/1.13	Derived: -eqangle(c7,A,c7,c8,c18,c7,c18,c8) | perp(c2,c7,c7,A).  [resolve(112,a,98,a)].
0.82/1.13	Derived: -midp(A,c8,c18) | eqangle(c7,c8,c7,c18,c2,c8,c2,A).  [resolve(112,a,101,b)].
0.82/1.13	Derived: -coll(c2,c7,c18) | perp(c7,c8,c8,c18).  [resolve(112,a,102,a)].
0.82/1.13	Derived: perp(f16(c7,c8,c18,c2),c7,c7,c2).  [resolve(112,a,103,a)].
0.82/1.13	Derived: -perp(c2,c7,c7,A) | eqangle(c7,A,c7,c8,c18,c7,c18,c8).  [resolve(112,a,104,b)].
0.82/1.13	Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | coll(f19(c7,c8,c18,A,c2,B),c7,c18).  [resolve(112,a,105,d)].
0.82/1.13	Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | cong(f19(c7,c8,c18,A,c2,B),B,B,c7).  [resolve(112,a,106,d)].
0.82/1.13	Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | coll(f20(c7,c8,c18,A,c2,B),c8,A).  [resolve(112,a,107,d)].
0.82/1.13	Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | cong(f20(c7,c8,c18,A,c2,B),B,B,c7).  [resolve(112,a,108,d)].
0.82/1.13	113 circle(c2,c3,c7,c17) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.13	Derived: -eqangle(c3,c7,c3,c17,c2,c7,c2,A) | -coll(A,c7,c17) | midp(A,c7,c17).  [resolve(113,a,97,a)].
0.82/1.13	Derived: -eqangle(c3,A,c3,c7,c17,c3,c17,c7) | perp(c2,c3,c3,A).  [resolve(113,a,98,a)].
0.82/1.14	Derived: -midp(A,c7,c17) | eqangle(c3,c7,c3,c17,c2,c7,c2,A).  [resolve(113,a,101,b)].
0.82/1.14	Derived: -coll(c2,c3,c17) | perp(c3,c7,c7,c17).  [resolve(113,a,102,a)].
0.82/1.14	Derived: perp(f16(c3,c7,c17,c2),c3,c3,c2).  [resolve(113,a,103,a)].
0.82/1.14	Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c7,c17,c3,c17,c7).  [resolve(113,a,104,b)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | coll(f19(c3,c7,c17,A,c2,B),c3,c17).  [resolve(113,a,105,d)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | cong(f19(c3,c7,c17,A,c2,B),B,B,c3).  [resolve(113,a,106,d)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | coll(f20(c3,c7,c17,A,c2,B),c7,A).  [resolve(113,a,107,d)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | cong(f20(c3,c7,c17,A,c2,B),B,B,c3).  [resolve(113,a,108,d)].
0.82/1.14	114 circle(c1,c3,c6,c15) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.14	Derived: -eqangle(c3,c6,c3,c15,c1,c6,c1,A) | -coll(A,c6,c15) | midp(A,c6,c15).  [resolve(114,a,97,a)].
0.82/1.14	Derived: -eqangle(c3,A,c3,c6,c15,c3,c15,c6) | perp(c1,c3,c3,A).  [resolve(114,a,98,a)].
0.82/1.14	Derived: -midp(A,c6,c15) | eqangle(c3,c6,c3,c15,c1,c6,c1,A).  [resolve(114,a,101,b)].
0.82/1.14	Derived: -coll(c1,c3,c15) | perp(c3,c6,c6,c15).  [resolve(114,a,102,a)].
0.82/1.14	Derived: perp(f16(c3,c6,c15,c1),c3,c3,c1).  [resolve(114,a,103,a)].
0.82/1.14	Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c6,c15,c3,c15,c6).  [resolve(114,a,104,b)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | coll(f19(c3,c6,c15,A,c1,B),c3,c15).  [resolve(114,a,105,d)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | cong(f19(c3,c6,c15,A,c1,B),B,B,c3).  [resolve(114,a,106,d)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | coll(f20(c3,c6,c15,A,c1,B),c6,A).  [resolve(114,a,107,d)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | cong(f20(c3,c6,c15,A,c1,B),B,B,c3).  [resolve(114,a,108,d)].
0.82/1.14	115 circle(c2,c3,c11,c12) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.14	Derived: -eqangle(c3,c11,c3,c12,c2,c11,c2,A) | -coll(A,c11,c12) | midp(A,c11,c12).  [resolve(115,a,97,a)].
0.82/1.14	Derived: -eqangle(c3,A,c3,c11,c12,c3,c12,c11) | perp(c2,c3,c3,A).  [resolve(115,a,98,a)].
0.82/1.14	Derived: -midp(A,c11,c12) | eqangle(c3,c11,c3,c12,c2,c11,c2,A).  [resolve(115,a,101,b)].
0.82/1.14	Derived: -coll(c2,c3,c12) | perp(c3,c11,c11,c12).  [resolve(115,a,102,a)].
0.82/1.14	Derived: perp(f16(c3,c11,c12,c2),c3,c3,c2).  [resolve(115,a,103,a)].
0.82/1.14	Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c11,c12,c3,c12,c11).  [resolve(115,a,104,b)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | coll(f19(c3,c11,c12,A,c2,B),c3,c12).  [resolve(115,a,105,d)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | cong(f19(c3,c11,c12,A,c2,B),B,B,c3).  [resolve(115,a,106,d)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | coll(f20(c3,c11,c12,A,c2,B),c11,A).  [resolve(115,a,107,d)].
0.82/1.14	Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | cong(f20(c3,c11,c12,A,c2,B),B,B,c3).  [resolve(115,a,108,d)].
0.82/1.14	116 circle(c1,c3,c9,c10) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
0.82/1.14	Derived: -eqangle(c3,c9,c3,c10,c1,c9,c1,A) | -coll(A,c9,c10) | midp(A,c9,c10).  [resolve(116,a,97,a)].
0.82/1.14	Derived: -eqangle(c3,A,c3,c9,c10,c3,c10,c9) | perp(c1,c3,c3,A).  [resolve(116,a,98,a)].
0.82/1.14	Derived: -midp(A,c9,c10) | eqangle(c3,c9,c3,c10,c1,c9,c1,A).  [resolve(116,a,101,b)].
0.82/1.14	Derived: -coll(c1,c3,c10) | perp(c3,c9,c9,c10).  [resolve(116,a,102,a)].
0.82/1.14	Derived: perp(f16(c3,c9,c10,c1),c3,c3,c1).  [resolve(116,a,103,a)].
0.82/1.14	Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c9,c10,c3,c10,c9).  [resolve(116,a,104,b)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | coll(f19(c3,c9,c10,A,c1,B),c3,c10).  [resolve(116,a,105,d)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | cong(f19(c3,c9,c10,A,c1,B),B,B,c3).  [resolve(116,a,106,d)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | coll(f20(c3,c9,c10,A,c1,B),c9,A).  [resolve(116,a,107,d)].
0.82/1.14	Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | cong(f20(c3,c9,c10,A,c1,B),B,B,c3).  [resolve(116,a,108,d)].
0.82/1.14	
0.82/1.14	============================== end predicate elimination =============
7.23/7.52	
7.23/7.52	Auto_denials:  (non-Horn, no changes).
7.23/7.52	
7.23/7.52	Term ordering decisions:
7.23/7.52	Function symbol KB weights:  c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. f15=1. f1=1. f2=1. f3=1. f5=1. f8=1. f10=1. f16=1. f17=1. f4=1. f6=1. f9=1. f11=1. f14=1. f7=1. f13=1. f19=1. f20=1. f12=1. f18=1.
7.23/7.52	
7.23/7.52	============================== end of process initial clauses ========
7.23/7.52	
7.23/7.52	============================== CLAUSES FOR SEARCH ====================
7.23/7.52	
7.23/7.52	============================== end of clauses for search =============
7.23/7.52	
7.23/7.52	============================== SEARCH ================================
7.23/7.52	
7.23/7.52	% Starting search at 0.04 seconds.
7.23/7.52	
7.23/7.52	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.14 sec).
7.23/7.52	
7.23/7.52	Low Water (keep): wt=26.000, iters=3339
7.23/7.52	
7.23/7.52	Low Water (keep): wt=23.000, iters=3360
7.23/7.52	
7.23/7.52	Low Water (keep): wt=22.000, iters=3390
7.23/7.52	
7.23/7.52	Low Water (keep): wt=21.000, iters=3338
7.23/7.52	
7.23/7.52	Low Water (keep): wt=18.000, iters=3334
7.23/7.52	
7.23/7.52	Low Water (keep): wt=17.000, iters=3333
7.23/7.52	
7.23/7.52	Low Water (keep): wt=16.000, iters=3333
7.23/7.52	
7.23/7.52	============================== PROOF =================================
7.23/7.52	% SZS status Theorem
7.23/7.52	% SZS output start Refutation
7.23/7.52	
7.23/7.52	% Proof 1 at 6.33 (+ 0.07) seconds.
7.23/7.52	% Length of proof is 213.
7.23/7.52	% Level of proof is 39.
7.23/7.52	% Maximum clause weight is 35.000.
7.23/7.52	% Given clauses 6105.
7.23/7.52	
7.23/7.52	3 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	5 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	6 (all A all B all C all O all M (circle(O,A,B,C) & eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	8 (all A all B all C all D all M (midp(M,A,B) & para(A,D,B,C) & para(A,C,B,D) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	14 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	15 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	17 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	18 (all A all B all P all Q (cyclic(A,B,P,Q) & cong(A,Q,B,Q) & cong(A,P,B,P) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	20 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	22 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	26 (all A all B all C all D all M exists O (cyclic(A,B,C,D) & para(A,B,C,D) & midp(M,A,B) -> circle(O,A,B,C))) # label(ruleX13) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	29 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	38 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	39 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	42 (all A all B all C all D exists O (cyclic(A,B,C,D) & perp(A,C,C,B) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	44 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	45 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	46 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	47 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	48 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	49 (all A all B all C all D all E all F (perp(C,D,E,F) & perp(A,B,C,D) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	52 (all A all B all C all D all E all F (perp(C,D,E,F) & para(A,B,C,D) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	53 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	56 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	59 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	62 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	68 (all A all B all M all O (perp(O,M,A,B) & midp(M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	70 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	73 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & eqangle(C,A,C,B,R,P,R,Q) & cyclic(A,B,C,R) & cyclic(A,B,C,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	74 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	75 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	80 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	81 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	85 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	93 (all A all B all C all M (midp(M,A,C) & perp(A,B,B,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause).  [assumption].
7.23/7.52	95 -(all A all B all P all D all E all I all F all G all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 all NWPNT9 all NWPNT01 (perp(P,A,P,B) & circle(A,P,D,NWPNT5) & circle(A,D,E,NWPNT6) & circle(B,P,I,NWPNT8) & coll(F,D,I) & circle(B,F,G,NWPNT01) & coll(G,F,B) & circle(B,P,F,NWPNT9) & circle(A,P,I,NWPNT7) & coll(E,D,A) & circle(B,P,NWPNT3,NWPNT4) & circle(A,P,NWPNT1,NWPNT2) -> perp(G,F,D,E))) # label(exemplo6GDDFULL618068) # label(negated_conjecture) # label(non_clause).  [assumption].
7.23/7.52	96 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f6(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom).  [clausify(26)].
7.23/7.52	97 -circle(A,B,C,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D) # label(ruleD51) # label(axiom).  [clausify(6)].
7.23/7.52	99 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom).  [clausify(29)].
7.23/7.52	100 -cyclic(A,B,C,D) | -perp(A,C,C,B) | circle(f10(A,B,C,D),A,B,C) # label(ruleX14) # label(axiom).  [clausify(42)].
7.23/7.52	102 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom).  [clausify(59)].
7.23/7.52	103 -circle(A,B,C,D) | perp(f16(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom).  [clausify(75)].
7.23/7.52	110 circle(c1,c4,c5,c14) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
7.23/7.52	122 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom).  [clausify(3)].
7.23/7.52	124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom).  [clausify(5)].
7.23/7.52	125 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,E,D) # label(ruleD64) # label(axiom).  [clausify(8)].
7.23/7.52	132 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom).  [clausify(14)].
7.23/7.52	133 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom).  [clausify(15)].
7.23/7.52	135 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom).  [clausify(17)].
7.23/7.52	136 -cyclic(A,B,C,D) | -cong(A,D,B,D) | -cong(A,C,B,C) | perp(C,A,A,D) # label(ruleD57) # label(axiom).  [clausify(18)].
7.23/7.52	138 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom).  [clausify(20)].
7.23/7.52	141 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom).  [clausify(22)].
7.23/7.52	158 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom).  [clausify(38)].
7.23/7.52	159 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom).  [clausify(39)].
7.23/7.52	164 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom).  [clausify(44)].
7.23/7.52	165 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom).  [clausify(45)].
7.23/7.52	166 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom).  [clausify(46)].
7.23/7.52	167 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom).  [clausify(47)].
7.23/7.52	168 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom).  [clausify(48)].
7.23/7.52	169 -perp(A,B,C,D) | -perp(E,F,A,B) | para(E,F,C,D) # label(ruleD9) # label(axiom).  [clausify(49)].
7.23/7.52	172 -perp(A,B,C,D) | -para(E,F,A,B) | perp(E,F,C,D) # label(ruleD10) # label(axiom).  [clausify(52)].
7.23/7.52	173 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom).  [clausify(53)].
7.23/7.52	176 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom).  [clausify(56)].
7.23/7.52	180 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom).  [clausify(62)].
7.23/7.52	187 -perp(A,B,C,D) | -midp(B,C,D) | cong(A,C,A,D) # label(ruleD55) # label(axiom).  [clausify(68)].
7.23/7.52	191 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom).  [clausify(70)].
7.23/7.52	195 -cyclic(A,B,C,D) | -eqangle(C,A,C,B,E,D,E,F) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | cong(A,B,D,F) # label(ruleD43) # label(axiom).  [clausify(73)].
7.23/7.52	196 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom).  [clausify(74)].
7.23/7.52	202 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom).  [clausify(80)].
7.23/7.52	203 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom).  [clausify(81)].
7.23/7.52	206 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom).  [clausify(85)].
7.23/7.52	214 -midp(A,B,C) | -perp(B,D,D,C) | cong(B,A,D,A) # label(ruleD52) # label(axiom).  [clausify(93)].
7.23/7.52	216 perp(c3,c1,c3,c2) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
7.23/7.52	218 coll(c8,c7,c2) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
7.23/7.52	219 coll(c5,c4,c1) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
7.23/7.52	220 -perp(c8,c7,c4,c5) # label(exemplo6GDDFULL618068) # label(negated_conjecture).  [clausify(95)].
7.23/7.52	223 -cong(A,B,A,C) | -cong(A,B,A,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D).  [resolve(99,c,97,a)].
7.23/7.52	225 -cyclic(A,B,C,D) | -perp(A,C,C,B) | -eqangle(A,B,A,C,f10(A,B,C,D),B,f10(A,B,C,D),E) | -coll(E,B,C) | midp(E,B,C).  [resolve(100,c,97,a)].
7.23/7.52	230 -coll(f6(A,B,C,D,E),A,C) | perp(A,B,B,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(102,a,96,d)].
7.23/7.52	277 perp(f16(c4,c5,c14,c1),c4,c4,c1).  [resolve(110,a,103,a)].
7.23/7.52	375 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D).  [factor(125,b,c)].
7.23/7.52	379 -cyclic(A,B,C,D) | cyclic(B,C,D,D).  [factor(132,a,b)].
7.23/7.52	381 -cyclic(A,B,C,C) | -cong(A,C,B,C) | perp(C,A,A,C).  [factor(136,b,c)].
7.23/7.52	391 -coll(A,B,C) | coll(C,C,A).  [factor(173,a,b)].
7.23/7.52	400 -cyclic(A,B,C,D) | -eqangle(C,A,C,B,E,D,E,E) | -cyclic(A,B,C,E) | cong(A,B,D,E).  [factor(195,c,d)].
7.23/7.52	406 -cong(A,B,A,C) | -eqangle(B,C,B,C,A,C,A,D) | -coll(D,C,C) | midp(D,C,C).  [factor(223,a,b)].
7.23/7.52	435 -perp(c3,c2,A,B) | para(c3,c1,A,B).  [resolve(216,a,169,b)].
7.23/7.52	436 -perp(A,B,c3,c1) | para(A,B,c3,c2).  [resolve(216,a,169,a)].
7.23/7.52	437 perp(c3,c2,c3,c1).  [resolve(216,a,159,a)].
7.23/7.52	440 perp(c3,c1,c2,c3).  [resolve(216,a,133,a)].
7.23/7.52	493 -perp(A,B,f16(c4,c5,c14,c1),c4) | para(A,B,c4,c1).  [resolve(277,a,169,a)].
7.23/7.52	496 perp(c4,c1,f16(c4,c5,c14,c1),c4).  [resolve(277,a,159,a)].
7.23/7.52	659 coll(c1,c1,c5).  [resolve(391,a,219,a)].
7.23/7.52	660 coll(c2,c2,c8).  [resolve(391,a,218,a)].
7.23/7.52	687 coll(c1,c5,c1).  [resolve(659,a,180,a)].
7.23/7.52	691 coll(c2,c8,c2).  [resolve(660,a,180,a)].
7.23/7.52	712 para(c3,c2,c3,c2).  [resolve(437,a,436,a)].
7.23/7.52	713 para(c3,c1,c3,c1).  [resolve(437,a,435,a)].
7.23/7.52	757 coll(c1,c1,c1).  [resolve(687,a,391,a)].
7.23/7.52	767 perp(c2,c3,c3,c1).  [resolve(440,a,159,a)].
7.23/7.52	778 coll(c2,c2,c2).  [resolve(691,a,391,a)].
7.23/7.52	952 eqangle(c3,c2,A,B,c3,c2,A,B).  [resolve(712,a,191,a)].
7.23/7.52	953 coll(c3,c2,c2).  [resolve(712,a,165,a)].
7.23/7.52	959 coll(c2,c2,c3).  [resolve(953,a,391,a)].
7.23/7.52	965 coll(c3,c3,c2).  [resolve(959,a,391,a)].
7.23/7.52	967 -coll(c2,c2,A) | coll(c3,A,c2).  [resolve(959,a,173,a)].
7.23/7.52	970 coll(c3,c2,c3).  [resolve(965,a,180,a)].
7.23/7.52	973 coll(c3,c3,c3).  [resolve(970,a,391,a)].
7.23/7.52	982 -midp(A,c3,c3) | midp(A,c1,c1).  [resolve(713,a,375,b)].
7.23/7.52	987 eqangle(c3,c1,A,B,c3,c1,A,B).  [resolve(713,a,191,a)].
7.23/7.52	989 para(c3,c1,c1,c3).  [resolve(713,a,164,a)].
7.23/7.52	1027 para(c2,c3,c3,c2).  [resolve(767,a,436,a)].
7.23/7.52	1079 -perp(c1,c3,A,B) | perp(c3,c1,A,B).  [resolve(989,a,172,b)].
7.23/7.52	1085 para(c1,c3,c3,c1).  [resolve(989,a,122,a)].
7.23/7.52	1122 -perp(c3,c2,A,B) | perp(c2,c3,A,B).  [resolve(1027,a,172,b)].
7.23/7.52	1123 para(c2,c3,c2,c3).  [resolve(1027,a,164,a)].
7.23/7.52	1152 para(c1,c3,c1,c3).  [resolve(1085,a,164,a)].
7.23/7.52	1165 -midp(A,c2,c2) | midp(A,c3,c3).  [resolve(1123,a,375,b)].
7.23/7.52	1170 eqangle(c2,c3,A,B,c2,c3,A,B).  [resolve(1123,a,191,a)].
7.23/7.52	1182 eqangle(c1,c3,A,B,c1,c3,A,B).  [resolve(1152,a,191,a)].
7.23/7.52	1644 para(c4,c1,c4,c1).  [resolve(496,a,493,a)].
7.23/7.52	1851 para(c4,c1,c1,c4).  [resolve(1644,a,164,a)].
7.23/7.52	1871 para(c1,c4,c4,c1).  [resolve(1851,a,122,a)].
7.23/7.52	1882 para(c1,c4,c1,c4).  [resolve(1871,a,164,a)].
7.23/7.52	1890 -midp(A,c1,c1) | midp(A,c4,c4).  [resolve(1882,a,375,b)].
7.23/7.52	4180 -cyclic(c2,c3,c3,c2) | -cyclic(c2,c3,c3,c3) | cong(c2,c3,c2,c3).  [resolve(952,a,400,b)].
7.23/7.52	4183 eqangle(c3,c2,c3,c2,A,B,A,B).  [resolve(952,a,206,a)].
7.23/7.52	4184 eqangle(A,B,c3,c2,A,B,c3,c2).  [resolve(952,a,203,a)].
7.23/7.52	4187 -coll(c3,c3,A) | cyclic(c2,A,c3,c3).  [resolve(952,a,196,a)].
7.23/7.52	4188 -cyclic(c2,A,c3,c2) | -cyclic(c2,A,c3,c3) | -cyclic(c2,A,c3,A) | cong(c2,A,c2,A).  [resolve(952,a,195,b)].
7.23/7.52	4244 -cong(c3,c3,c3,c1) | midp(c1,c1,c1).  [resolve(987,a,406,b),unit_del(b,757)].
7.23/7.52	6591 -cong(c2,c2,c2,c3) | midp(c3,c3,c3).  [resolve(1170,a,406,b),unit_del(b,973)].
7.23/7.52	6599 -coll(c2,c2,A) | cyclic(c3,A,c2,c2).  [resolve(1170,a,196,a)].
7.23/7.52	6956 -coll(c1,c1,A) | cyclic(c3,A,c1,c1).  [resolve(1182,a,196,a)].
7.23/7.52	6957 -cyclic(c3,A,c1,c3) | -cyclic(c3,A,c1,c1) | -cyclic(c3,A,c1,A) | cong(c3,A,c3,A).  [resolve(1182,a,195,b)].
7.23/7.52	13963 -cyclic(c3,c2,c2,A) | -perp(c3,c2,c2,c2) | midp(c2,c2,c2).  [resolve(4183,a,225,c),unit_del(c,778)].
7.23/7.52	13966 -coll(c3,A,c2) | cyclic(c2,c2,c3,A).  [resolve(4183,a,196,a)].
7.23/7.52	13971 para(A,B,A,B).  [resolve(4184,a,202,a)].
7.23/7.52	13981 -midp(A,B,B) | midp(A,C,C).  [resolve(13971,a,375,b)].
7.23/7.52	13983 coll(A,B,B).  [resolve(13971,a,165,a)].
7.23/7.52	13985 -midp(A,B,A) | -coll(C,B,C) | midp(C,B,C).  [resolve(13971,a,158,b)].
7.23/7.52	14093 coll(A,A,B).  [resolve(13983,a,391,a)].
7.23/7.52	14096 coll(A,B,A).  [resolve(13983,a,135,a)].
7.23/7.52	14245 cyclic(c3,A,c1,c1).  [back_unit_del(6956),unit_del(a,14093)].
7.23/7.52	14246 cyclic(c3,A,c2,c2).  [back_unit_del(6599),unit_del(a,14093)].
7.23/7.52	14272 cyclic(c2,A,c3,c3).  [back_unit_del(4187),unit_del(a,14093)].
7.23/7.52	14355 coll(c3,A,c2).  [back_unit_del(967),unit_del(a,14093)].
7.23/7.52	14394 -midp(A,B,A) | midp(C,B,C).  [back_unit_del(13985),unit_del(b,14096)].
7.23/7.52	14410 -cyclic(c3,A,c1,c3) | -cyclic(c3,A,c1,A) | cong(c3,A,c3,A).  [back_unit_del(6957),unit_del(b,14245)].
7.23/7.52	14425 -cyclic(c2,A,c3,c2) | -cyclic(c2,A,c3,A) | cong(c2,A,c2,A).  [back_unit_del(4188),unit_del(b,14272)].
7.23/7.52	14426 -cyclic(c2,c3,c3,c2) | cong(c2,c3,c2,c3).  [back_unit_del(4180),unit_del(b,14272)].
7.23/7.52	14512 cyclic(c2,c2,c3,A).  [back_unit_del(13966),unit_del(a,14355)].
7.23/7.52	14575 coll(A,B,C).  [resolve(14093,a,173,b),unit_del(a,14093)].
7.23/7.52	14609 perp(A,B,B,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [back_unit_del(230),unit_del(a,14575)].
7.23/7.52	14617 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E).  [back_unit_del(158),unit_del(c,14575)].
7.23/7.52	15018 cyclic(c3,c2,A,c2).  [resolve(14246,a,124,a)].
7.23/7.52	15051 cyclic(c2,c3,A,c3).  [resolve(14272,a,124,a)].
7.23/7.52	15052 cyclic(c2,c3,A,A).  [resolve(14512,a,379,a)].
7.23/7.52	15064 cyclic(c2,c2,A,c3).  [resolve(14512,a,138,a)].
7.23/7.52	15065 -cong(c2,A,c2,A) | -cong(c2,c3,c2,c3) | perp(c3,c2,c2,A).  [resolve(14512,a,136,a)].
7.23/7.52	15066 cyclic(c2,c3,A,B).  [resolve(14512,a,132,b),unit_del(a,14512)].
7.23/7.52	15067 cong(c2,c3,c2,c3).  [back_unit_del(14426),unit_del(a,15066)].
7.23/7.52	15068 -cong(c2,A,c2,A) | perp(c3,c2,c2,A).  [back_unit_del(15065),unit_del(b,15067)].
7.23/7.52	15557 cyclic(c3,c2,c2,A).  [resolve(15018,a,138,a)].
7.23/7.52	15559 -cyclic(c3,c2,A,B) | cyclic(c2,A,B,c2).  [resolve(15018,a,132,b)].
7.23/7.52	15562 -perp(c3,c2,c2,c2) | midp(c2,c2,c2).  [back_unit_del(13963),unit_del(a,15557)].
7.23/7.52	15653 cyclic(c3,A,B,c3).  [resolve(15051,a,132,b),unit_del(a,15066)].
7.23/7.52	15656 -cyclic(c3,A,c1,A) | cong(c3,A,c3,A).  [back_unit_del(14410),unit_del(a,15653)].
7.23/7.52	15658 cyclic(c3,A,A,A).  [resolve(15052,a,379,a)].
7.23/7.52	15667 cyclic(c3,A,B,A).  [resolve(15052,a,132,b),unit_del(a,15066)].
7.23/7.52	15669 cyclic(c2,A,c3,A).  [resolve(15052,a,124,a)].
7.23/7.52	15670 cong(c3,A,c3,A).  [back_unit_del(15656),unit_del(a,15667)].
7.23/7.52	15671 -cyclic(c2,A,c3,c2) | cong(c2,A,c2,A).  [back_unit_del(14425),unit_del(b,15669)].
7.23/7.52	15708 perp(c3,c2,c2,c3).  [resolve(15064,a,381,a),unit_del(a,15067)].
7.23/7.52	15729 cyclic(c3,A,B,C).  [resolve(15066,a,132,b),unit_del(a,15066)].
7.23/7.52	15733 cyclic(c2,A,B,c2).  [back_unit_del(15559),unit_del(a,15729)].
7.23/7.52	15755 cong(c2,A,c2,A).  [back_unit_del(15671),unit_del(a,15733)].
7.23/7.52	15762 perp(c3,c2,c2,A).  [back_unit_del(15068),unit_del(a,15755)].
7.23/7.52	15769 midp(c2,c2,c2).  [back_unit_del(15562),unit_del(a,15762)].
7.23/7.52	15774 midp(c2,c3,c3).  [resolve(15769,a,1165,a)].
7.23/7.52	15804 midp(c2,c1,c1).  [resolve(15774,a,982,a)].
7.23/7.52	15820 midp(c2,c4,c4).  [resolve(15804,a,1890,a)].
7.23/7.52	16638 -cong(c3,A,A,A) | perp(A,c3,c3,A).  [resolve(15658,a,381,a)].
7.23/7.52	16677 perp(c3,c3,A,B).  [resolve(15670,a,166,b),unit_del(a,15670)].
7.23/7.52	16755 perp(c2,c3,c2,c3).  [resolve(15708,a,1122,a)].
7.23/7.52	16811 cyclic(A,B,C,D).  [resolve(15729,a,132,b),unit_del(a,15729)].
7.23/7.52	16814 perp(A,B,B,C) | -para(A,B,C,D) | -midp(E,A,B).  [back_unit_del(14609),unit_del(b,16811)].
7.23/7.52	17362 -perp(A,B,c3,c3) | para(A,B,C,D).  [resolve(16677,a,169,a)].
7.23/7.52	17363 perp(A,B,c3,c3).  [resolve(16677,a,159,a)].
7.23/7.52	17368 para(A,B,C,D).  [back_unit_del(17362),unit_del(a,17363)].
7.23/7.52	17370 perp(A,B,B,C) | -midp(D,A,B).  [back_unit_del(16814),unit_del(b,17368)].
7.23/7.52	17378 -midp(A,B,C) | midp(D,B,E).  [back_unit_del(14617),unit_del(b,17368)].
7.23/7.52	17441 -midp(c3,c2,c3) | cong(c2,c2,c2,c3).  [resolve(16755,a,187,a)].
7.23/7.52	18130 midp(c2,A,A).  [resolve(13981,a,15820,a)].
7.23/7.52	18135 midp(A,c2,A).  [resolve(14394,a,18130,a)].
7.23/7.52	18136 cong(c2,c2,c2,c3).  [back_unit_del(17441),unit_del(a,18135)].
7.23/7.52	18143 midp(c3,c3,c3).  [back_unit_del(6591),unit_del(a,18136)].
7.23/7.52	18158 midp(A,c3,A).  [resolve(18143,a,14394,a)].
7.23/7.52	18190 midp(A,A,c3).  [resolve(18158,a,167,a)].
7.23/7.52	18208 cong(A,A,A,c3).  [resolve(18190,a,141,a)].
7.23/7.52	18554 cong(A,A,c3,A).  [resolve(18208,a,168,a)].
7.23/7.52	18632 cong(c3,A,A,A).  [resolve(18554,a,176,a)].
7.23/7.52	18639 perp(A,c3,c3,A).  [back_unit_del(16638),unit_del(a,18632)].
7.23/7.52	18779 perp(c3,c1,c3,c1).  [resolve(18639,a,1079,a)].
7.23/7.52	19047 cong(c3,c3,c3,c1).  [resolve(18779,a,187,a),unit_del(a,18158)].
7.23/7.52	19049 midp(c1,c1,c1).  [back_unit_del(4244),unit_del(a,19047)].
7.23/7.52	19050 midp(A,c1,A).  [resolve(19049,a,14394,a)].
7.23/7.52	19066 midp(A,A,c1).  [resolve(19050,a,167,a)].
7.23/7.52	19706 midp(A,B,C).  [resolve(17378,a,19066,a)].
7.23/7.52	19843 perp(A,B,B,C).  [back_unit_del(17370),unit_del(b,19706)].
7.23/7.52	19905 cong(A,B,C,B).  [back_unit_del(214),unit_del(a,19706),unit_del(b,19843)].
7.23/7.52	20308 perp(A,B,C,D).  [back_unit_del(166),unit_del(a,19905),unit_del(b,19905)].
7.23/7.52	20309 $F.  [resolve(20308,a,220,a)].
7.23/7.52	
7.23/7.52	% SZS output end Refutation
7.23/7.52	============================== end of proof ==========================
7.23/7.52	
7.23/7.52	============================== STATISTICS ============================
7.23/7.52	
7.23/7.52	Given=6105. Generated=77308. Kept=20152. proofs=1.
7.23/7.52	Usable=4449. Sos=6304. Demods=0. Limbo=403, Disabled=9231. Hints=0.
7.23/7.52	Megabytes=14.94.
7.23/7.52	User_CPU=6.33, System_CPU=0.07, Wall_clock=7.
7.23/7.52	
7.23/7.52	============================== end of statistics =====================
7.23/7.52	
7.23/7.52	============================== end of search =========================
7.23/7.52	
7.23/7.52	THEOREM PROVED
7.23/7.52	% SZS status Theorem
7.23/7.52	
7.23/7.52	Exiting with 1 proof.
7.23/7.52	
7.23/7.52	Process 3686 exit (max_proofs) Tue Jul 13 14:19:48 2021
7.23/7.52	Prover9 interrupted
7.23/7.53	EOF