0.07/0.09	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.09	% Command  : tptp2X_and_run_prover9 %d %s
0.08/0.29	% Computer : n019.cluster.edu
0.08/0.29	% Model    : x86_64 x86_64
0.08/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.29	% Memory   : 8042.1875MB
0.08/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.08/0.29	% CPULimit : 1440
0.08/0.29	% WCLimit  : 180
0.08/0.29	% DateTime : Mon Jul  3 06:17:04 EDT 2023
0.08/0.29	% CPUTime  : 
0.59/0.92	============================== Prover9 ===============================
0.59/0.92	Prover9 (32) version 2009-11A, November 2009.
0.59/0.92	Process 17455 was started by sandbox2 on n019.cluster.edu,
0.59/0.92	Mon Jul  3 06:17:05 2023
0.59/0.92	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_17300_n019.cluster.edu".
0.59/0.92	============================== end of head ===========================
0.59/0.92	
0.59/0.92	============================== INPUT =================================
0.59/0.92	
0.59/0.92	% Reading from file /tmp/Prover9_17300_n019.cluster.edu
0.59/0.92	
0.59/0.92	set(prolog_style_variables).
0.59/0.92	set(auto2).
0.59/0.92	    % set(auto2) -> set(auto).
0.59/0.92	    % set(auto) -> set(auto_inference).
0.59/0.92	    % set(auto) -> set(auto_setup).
0.59/0.92	    % set(auto_setup) -> set(predicate_elim).
0.59/0.92	    % set(auto_setup) -> assign(eq_defs, unfold).
0.59/0.92	    % set(auto) -> set(auto_limits).
0.59/0.92	    % set(auto_limits) -> assign(max_weight, "100.000").
0.59/0.92	    % set(auto_limits) -> assign(sos_limit, 20000).
0.59/0.92	    % set(auto) -> set(auto_denials).
0.59/0.92	    % set(auto) -> set(auto_process).
0.59/0.92	    % set(auto2) -> assign(new_constants, 1).
0.59/0.92	    % set(auto2) -> assign(fold_denial_max, 3).
0.59/0.92	    % set(auto2) -> assign(max_weight, "200.000").
0.59/0.92	    % set(auto2) -> assign(max_hours, 1).
0.59/0.92	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.59/0.92	    % set(auto2) -> assign(max_seconds, 0).
0.59/0.92	    % set(auto2) -> assign(max_minutes, 5).
0.59/0.92	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.59/0.92	    % set(auto2) -> set(sort_initial_sos).
0.59/0.92	    % set(auto2) -> assign(sos_limit, -1).
0.59/0.92	    % set(auto2) -> assign(lrs_ticks, 3000).
0.59/0.92	    % set(auto2) -> assign(max_megs, 400).
0.59/0.92	    % set(auto2) -> assign(stats, some).
0.59/0.92	    % set(auto2) -> clear(echo_input).
0.59/0.92	    % set(auto2) -> set(quiet).
0.59/0.92	    % set(auto2) -> clear(print_initial_clauses).
0.59/0.92	    % set(auto2) -> clear(print_given).
0.59/0.92	assign(lrs_ticks,-1).
0.59/0.92	assign(sos_limit,10000).
0.59/0.92	assign(order,kbo).
0.59/0.92	set(lex_order_vars).
0.59/0.92	clear(print_given).
0.59/0.92	
0.59/0.92	% formulas(sos).  % not echoed (95 formulas)
0.59/0.92	
0.59/0.92	============================== end of input ==========================
0.59/0.92	
0.59/0.92	% From the command line: assign(max_seconds, 1440).
0.59/0.92	
0.59/0.92	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.59/0.92	
0.59/0.92	% Formulas that are not ordinary clauses:
0.59/0.92	1 (all A all B all C all D all M (midp(M,A,B) & midp(M,C,D) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	2 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	3 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(B,C,B,P) & para(P,C,A,B) & cong(O,C,O,P))) # label(ruleX9) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	4 (all A all B all O all X exists M (eqangle(A,O,O,X,O,X,O,B) & perp(O,X,A,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	5 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	6 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & -coll(A,B,C) & eqangle(A,C,B,C,P,R,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	7 (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].
0.59/0.92	8 (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].
0.59/0.92	9 (all A all B all C all D all P all Q exists R (coll(P,B,D) & coll(Q,A,B) & coll(P,A,C) & para(A,B,C,D) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	10 (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].
0.59/0.92	11 (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].
0.59/0.92	12 (all A all B all C all E all F (coll(F,A,C) & para(E,F,B,C) & midp(E,A,B) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	13 (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].
0.59/0.92	14 (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].
0.59/0.92	15 (all A all B all O exists C (perp(A,O,O,B) & cong(O,A,O,B) -> coll(A,O,C) & cong(O,A,O,C))) # label(ruleX17) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	16 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	17 (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].
0.59/0.92	18 (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].
0.59/0.92	19 (all A all B all C all D (coll(A,B,D) & coll(A,B,C) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	20 (all A all B all C all D exists O (perp(A,C,C,B) & cyclic(A,B,C,D) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	21 (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].
0.59/0.92	22 (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) & M != N & circle(M,A,B,C) -> cong(P,N,N,A) & cong(Q,N,N,A) & coll(Q,B,D) & coll(P,A,C))) # label(ruleX12) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	23 (all A all B all C all D (cyclic(A,B,C,D) & para(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	24 (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].
0.59/0.92	25 (all A all B all P all Q (-coll(P,Q,A) & eqangle(P,A,P,B,Q,A,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	26 (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].
0.59/0.92	27 (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].
0.59/0.92	28 (all A all B all O all X exists M (cong(O,A,O,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX2) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	29 (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].
0.59/0.92	30 (all A all B all M all P all Q all R all M exists X (midp(M,A,B) & para(A,P,R,M) & coll(P,Q,R) & para(A,P,B,Q) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	31 (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].
0.59/0.92	32 (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].
0.59/0.92	33 (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].
0.59/0.92	34 (all A all B all C all D all E all F (para(A,B,C,D) & perp(C,D,E,F) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	35 (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].
0.59/0.92	36 (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].
0.59/0.92	37 (all A all B all C all E all F all G all P all Q all R (contri(E,F,G,P,Q,R) & contri(A,B,C,E,F,G) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	38 (all A all B all C all O all X (circle(O,A,B,C) & perp(O,A,A,X) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	39 (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].
0.59/0.92	40 (all A all B all C all E all F exists P (coll(B,E,F) & perp(A,C,C,B) -> coll(P,E,F) & perp(P,A,E,F))) # label(ruleX15) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	41 (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].
0.59/0.92	42 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & coll(D,A,B) & coll(C,A,B) & midp(N,C,D) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	43 (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].
0.59/0.92	44 (all A all B all C all P all Q all 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))) # label(ruleD43) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	45 (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].
0.59/0.92	46 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(M,O,X) & coll(B,A,M))) # label(ruleX4) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	47 (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].
0.59/0.92	48 (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].
0.59/0.92	49 (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].
0.59/0.92	50 (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].
0.59/0.92	51 (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].
0.59/0.92	52 (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].
0.59/0.92	53 (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].
0.59/0.92	54 (all A all B all C all D (-perp(A,B,C,D) & eqangle(A,B,C,D,C,D,A,B) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	55 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	56 (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].
0.59/0.92	57 (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].
0.59/0.92	58 (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].
0.59/0.92	59 (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].
0.59/0.92	60 (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].
0.59/0.92	61 (all A all B all C all D all E all F (cong(A,B,C,D) & cong(C,D,E,F) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	62 (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) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	63 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	64 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	65 (all A all B all P all Q (coll(P,Q,B) & eqangle(P,A,P,B,Q,A,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	66 (all A all B all C all D all O (cong(O,A,O,B) & cong(O,A,O,D) & cong(O,A,O,C) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	67 (all A all B all C all O all M (eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) & circle(O,A,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	68 (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].
0.59/0.92	69 (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].
0.59/0.92	70 (all A all B all C all D all O (coll(O,A,C) & coll(O,B,D) & para(A,B,C,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	71 (all A all B all C all D all E (cyclic(A,B,C,E) & cyclic(A,B,C,D) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	72 (all A all B all C all O all M (circle(O,A,B,C) & midp(M,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	73 (all A all B all C all E all F (midp(F,A,C) & midp(E,A,B) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	74 (all A all B all C all P all Q all R (cong(A,B,P,Q) & simtri(A,B,C,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	75 (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].
0.59/0.92	76 (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].
0.59/0.92	77 (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].
0.59/0.92	78 (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].
0.59/0.92	79 (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].
0.59/0.92	80 (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].
0.59/0.92	81 (all A all M all O all X exists B (eqangle(X,O,M,O,M,O,A,O) & perp(O,M,M,A) -> coll(B,O,X) & coll(B,A,M))) # label(ruleX1) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	82 (all A all B all C all D all M all N exists P (midp(N,C,D) & midp(M,A,B) -> para(P,N,A,C) & para(P,M,B,D) & midp(P,A,D))) # label(ruleX6) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	83 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	84 (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].
0.59/0.92	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(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	86 (all A all B all C all D all M exists P (perp(A,B,A,C) & midp(M,B,D) & perp(C,A,C,D) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause).  [assumption].
0.59/0.92	87 (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].
0.59/0.92	88 (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(P,Q,U,V,E,F,G,H) & eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause).  [assumption].
0.59/0.93	89 (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].
0.59/0.93	90 (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].
0.59/0.93	91 (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].
0.59/0.93	92 (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].
0.59/0.93	93 (all A all B all C all H exists P exists Q (perp(B,H,A,C) & perp(A,H,B,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].
0.59/0.93	94 (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].
0.59/0.93	95 -(all A all B all C all O all H all C1 all A1 all NWPNT1 all NWPNT2 (perp(A,B,C,H) & circle(O,A,A1,NWPNT2) & coll(A1,A,H) & coll(C1,C,H) & circle(O,C,C1,NWPNT1) & perp(B,C,A,H) & perp(A,C,B,H) & circle(O,A,B,C) -> cong(B,A1,B,C1))) # label(exemplo6GDDFULL214037) # label(negated_conjecture) # label(non_clause).  [assumption].
0.59/0.93	
0.59/0.93	============================== end of process non-clausal formulas ===
0.59/0.93	
0.59/0.93	============================== PROCESS INITIAL CLAUSES ===============
0.59/0.93	
0.59/0.93	============================== PREDICATE ELIMINATION =================
0.59/0.93	96 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f6(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom).  [clausify(22)].
0.59/0.93	97 -perp(A,B,B,C) | -cyclic(A,C,B,D) | circle(f5(A,C,B,D),A,C,B) # label(ruleX14) # label(axiom).  [clausify(20)].
0.59/0.93	Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | cong(f6(A,B,C,E,f5(A,B,C,D),F),F,F,A) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(96,d,97,c)].
0.59/0.93	98 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f7(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom).  [clausify(22)].
0.59/0.93	Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | cong(f7(A,B,C,E,f5(A,B,C,D),F),F,F,A) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(98,d,97,c)].
0.59/0.93	99 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f7(B,E,F,C,A,D),E,C) # label(ruleX12) # label(axiom).  [clausify(22)].
0.59/0.93	Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | coll(f7(A,B,C,E,f5(A,B,C,D),F),B,E) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(99,d,97,c)].
0.59/0.93	100 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f6(B,E,F,C,A,D),B,F) # label(ruleX12) # label(axiom).  [clausify(22)].
0.59/0.93	Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | coll(f6(A,B,C,E,f5(A,B,C,D),F),A,C) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(100,d,97,c)].
0.59/0.93	101 -circle(A,B,C,D) | perp(f8(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom).  [clausify(27)].
0.59/0.93	Derived: perp(f8(A,B,C,f5(A,B,C,D)),A,A,f5(A,B,C,D)) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(101,a,97,c)].
0.59/0.93	102 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom).  [clausify(38)].
0.59/0.93	Derived: -perp(f5(A,B,C,D),A,A,E) | eqangle(A,E,A,B,C,A,C,B) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(102,a,97,c)].
0.59/0.93	103 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f14(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom).  [clausify(47)].
0.59/0.93	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | cong(f6(A,B,C,F,f14(A,B,C,D,E),V6),V6,V6,A).  [resolve(103,d,96,d)].
0.59/0.93	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | cong(f7(A,B,C,F,f14(A,B,C,D,E),V6),V6,V6,A).  [resolve(103,d,98,d)].
0.59/0.93	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | coll(f7(A,B,C,F,f14(A,B,C,D,E),V6),B,F).  [resolve(103,d,99,d)].
0.63/0.93	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | coll(f6(A,B,C,F,f14(A,B,C,D,E),V6),A,C).  [resolve(103,d,100,d)].
0.63/0.93	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | perp(f8(A,B,C,f14(A,B,C,D,E)),A,A,f14(A,B,C,D,E)).  [resolve(103,d,101,a)].
0.63/0.93	Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -perp(f14(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B).  [resolve(103,d,102,a)].
0.63/0.93	104 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom).  [clausify(56)].
0.63/0.93	Derived: -coll(f5(A,B,C,D),A,C) | perp(A,B,B,C) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(104,a,97,c)].
0.63/0.93	Derived: -coll(f14(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(104,a,103,d)].
0.63/0.93	105 -eqangle(A,B,A,C,D,B,D,E) | -coll(E,B,C) | -circle(D,A,B,C) | midp(E,B,C) # label(ruleD51) # label(axiom).  [clausify(67)].
0.63/0.93	Derived: -eqangle(A,B,A,C,f5(A,B,C,D),B,f5(A,B,C,D),E) | -coll(E,B,C) | midp(E,B,C) | -perp(A,C,C,B) | -cyclic(A,B,C,D).  [resolve(105,c,97,c)].
0.63/0.93	Derived: -eqangle(A,B,A,C,f14(A,B,C,D,E),B,f14(A,B,C,D,E),F) | -coll(F,B,C) | midp(F,B,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B).  [resolve(105,c,103,d)].
0.63/0.93	106 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom).  [clausify(72)].
0.63/0.93	Derived: -midp(A,B,C) | eqangle(D,B,D,C,f5(D,B,C,E),B,f5(D,B,C,E),A) | -perp(D,C,C,B) | -cyclic(D,B,C,E).  [resolve(106,a,97,c)].
0.63/0.93	Derived: -midp(A,B,C) | eqangle(D,B,D,C,f14(D,B,C,E,F),B,f14(D,B,C,E,F),A) | -cyclic(D,B,C,E) | -para(D,B,C,E) | -midp(F,D,B).  [resolve(106,a,103,d)].
0.63/0.93	107 -circle(A,B,C,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E) # label(ruleD49) # label(axiom).  [clausify(84)].
0.63/0.93	Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(f5(A,C,D,E),A,A,B) | -perp(A,D,D,C) | -cyclic(A,C,D,E).  [resolve(107,a,97,c)].
0.63/0.93	Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(f14(A,C,D,E,F),A,A,B) | -cyclic(A,C,D,E) | -para(A,C,D,E) | -midp(F,A,C).  [resolve(107,a,103,d)].
0.63/0.93	108 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom).  [clausify(94)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f6(B,C,D,E,A,F),F,F,B).  [resolve(108,c,96,d)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f7(B,C,D,E,A,F),F,F,B).  [resolve(108,c,98,d)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f7(B,C,D,E,A,F),C,E).  [resolve(108,c,99,d)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f6(B,C,D,E,A,F),B,D).  [resolve(108,c,100,d)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | perp(f8(B,C,D,A),B,B,A).  [resolve(108,c,101,a)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C).  [resolve(108,c,102,a)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -coll(A,B,D) | perp(B,C,C,D).  [resolve(108,c,104,a)].
0.63/0.93	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(108,c,105,c)].
0.63/0.93	Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E).  [resolve(108,c,106,a)].
0.63/0.93	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(108,c,107,a)].
0.63/0.93	109 circle(c4,c1,c7,c9) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
0.63/0.93	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f6(c1,c7,c9,A,c4,B),B,B,c1).  [resolve(109,a,96,d)].
0.63/0.93	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f7(c1,c7,c9,A,c4,B),B,B,c1).  [resolve(109,a,98,d)].
0.63/0.93	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f7(c1,c7,c9,A,c4,B),c7,A).  [resolve(109,a,99,d)].
0.63/0.93	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f6(c1,c7,c9,A,c4,B),c1,c9).  [resolve(109,a,100,d)].
0.63/0.93	Derived: perp(f8(c1,c7,c9,c4),c1,c1,c4).  [resolve(109,a,101,a)].
0.63/0.93	Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c7,c9,c1,c9,c7).  [resolve(109,a,102,a)].
11.48/11.80	Derived: -coll(c4,c1,c9) | perp(c1,c7,c7,c9).  [resolve(109,a,104,a)].
11.48/11.80	Derived: -eqangle(c1,c7,c1,c9,c4,c7,c4,A) | -coll(A,c7,c9) | midp(A,c7,c9).  [resolve(109,a,105,c)].
11.48/11.80	Derived: -midp(A,c7,c9) | eqangle(c1,c7,c1,c9,c4,c7,c4,A).  [resolve(109,a,106,a)].
11.48/11.80	Derived: -eqangle(c1,A,c1,c7,c9,c1,c9,c7) | perp(c4,c1,c1,A).  [resolve(109,a,107,a)].
11.48/11.80	110 circle(c4,c3,c6,c8) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | cong(f6(c3,c6,c8,A,c4,B),B,B,c3).  [resolve(110,a,96,d)].
11.48/11.80	Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | cong(f7(c3,c6,c8,A,c4,B),B,B,c3).  [resolve(110,a,98,d)].
11.48/11.80	Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | coll(f7(c3,c6,c8,A,c4,B),c6,A).  [resolve(110,a,99,d)].
11.48/11.80	Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | coll(f6(c3,c6,c8,A,c4,B),c3,c8).  [resolve(110,a,100,d)].
11.48/11.80	Derived: perp(f8(c3,c6,c8,c4),c3,c3,c4).  [resolve(110,a,101,a)].
11.48/11.80	Derived: -perp(c4,c3,c3,A) | eqangle(c3,A,c3,c6,c8,c3,c8,c6).  [resolve(110,a,102,a)].
11.48/11.80	Derived: -coll(c4,c3,c8) | perp(c3,c6,c6,c8).  [resolve(110,a,104,a)].
11.48/11.80	Derived: -eqangle(c3,c6,c3,c8,c4,c6,c4,A) | -coll(A,c6,c8) | midp(A,c6,c8).  [resolve(110,a,105,c)].
11.48/11.80	Derived: -midp(A,c6,c8) | eqangle(c3,c6,c3,c8,c4,c6,c4,A).  [resolve(110,a,106,a)].
11.48/11.80	Derived: -eqangle(c3,A,c3,c6,c8,c3,c8,c6) | perp(c4,c3,c3,A).  [resolve(110,a,107,a)].
11.48/11.80	111 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f6(c1,c2,c3,A,c4,B),B,B,c1).  [resolve(111,a,96,d)].
11.48/11.80	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f7(c1,c2,c3,A,c4,B),B,B,c1).  [resolve(111,a,98,d)].
11.48/11.80	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f7(c1,c2,c3,A,c4,B),c2,A).  [resolve(111,a,99,d)].
11.48/11.80	Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f6(c1,c2,c3,A,c4,B),c1,c3).  [resolve(111,a,100,d)].
11.48/11.80	Derived: perp(f8(c1,c2,c3,c4),c1,c1,c4).  [resolve(111,a,101,a)].
11.48/11.80	Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2).  [resolve(111,a,102,a)].
11.48/11.80	Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3).  [resolve(111,a,104,a)].
11.48/11.80	Derived: -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | -coll(A,c2,c3) | midp(A,c2,c3).  [resolve(111,a,105,c)].
11.48/11.80	Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A).  [resolve(111,a,106,a)].
11.48/11.80	Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A).  [resolve(111,a,107,a)].
11.48/11.80	
11.48/11.80	============================== end predicate elimination =============
11.48/11.80	
11.48/11.80	Auto_denials:  (non-Horn, no changes).
11.48/11.80	
11.48/11.80	Term ordering decisions:
11.48/11.80	Function symbol KB weights:  c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. f4=1. f2=1. f5=1. f8=1. f9=1. f13=1. f16=1. f19=1. f20=1. f1=1. f11=1. f14=1. f15=1. f18=1. f3=1. f6=1. f7=1. f17=1. f10=1. f12=1.
11.48/11.80	
11.48/11.80	============================== end of process initial clauses ========
11.48/11.80	
11.48/11.80	============================== CLAUSES FOR SEARCH ====================
11.48/11.80	
11.48/11.80	============================== end of clauses for search =============
11.48/11.80	
11.48/11.80	============================== SEARCH ================================
11.48/11.80	
11.48/11.80	% Starting search at 0.04 seconds.
11.48/11.80	
11.48/11.80	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.14 sec).
11.48/11.80	
11.48/11.80	Low Water (keep): wt=26.000, iters=3340
11.48/11.80	
11.48/11.80	Low Water (keep): wt=25.000, iters=3385
11.48/11.80	
11.48/11.80	Low Water (keep): wt=22.000, iters=3336
11.48/11.80	
11.48/11.80	Low Water (keep): wt=21.000, iters=3393
11.48/11.80	
11.48/11.80	Low Water (keep): wt=18.000, iters=3343
11.48/11.80	
11.48/11.80	Low Water (keep): wt=17.000, iters=3410
11.48/11.80	
11.48/11.80	Low Water (keep): wt=16.000, iters=3338
11.48/11.80	
11.48/11.80	Low Water (keep): wt=15.000, iters=3335
11.48/11.80	
11.48/11.80	Low Water (keep): wt=14.000, iters=3337
11.48/11.80	
11.48/11.80	Low Water (keep): wt=13.000, iters=3357
11.48/11.80	
11.48/11.80	Low Water (keep): wt=12.000, iters=3340
11.48/11.80	
11.48/11.80	Low Water (displace): id=14313, wt=8.000
11.48/11.80	
11.48/11.80	============================== PROOF =================================
11.48/11.80	% SZS status Theorem
11.48/11.80	% SZS output start Refutation
11.48/11.80	
11.48/11.80	% Proof 1 at 10.78 (+ 0.12) seconds.
11.48/11.80	% Length of proof is 300.
11.48/11.80	% Level of proof is 36.
11.48/11.80	% Maximum clause weight is 29.000.
11.48/11.80	% Given clauses 13170.
11.48/11.80	
11.48/11.80	5 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	10 (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].
11.48/11.80	12 (all A all B all C all E all F (coll(F,A,C) & para(E,F,B,C) & midp(E,A,B) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	13 (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].
11.48/11.80	18 (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].
11.48/11.80	19 (all A all B all C all D (coll(A,B,D) & coll(A,B,C) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	21 (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].
11.48/11.80	24 (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].
11.48/11.80	27 (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].
11.48/11.80	34 (all A all B all C all D all E all F (para(A,B,C,D) & perp(C,D,E,F) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	36 (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].
11.48/11.80	39 (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].
11.48/11.80	43 (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].
11.48/11.80	44 (all A all B all C all P all Q all 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))) # label(ruleD43) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	48 (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].
11.48/11.80	51 (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].
11.48/11.80	55 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	56 (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].
11.48/11.80	62 (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) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	63 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	64 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	65 (all A all B all P all Q (coll(P,Q,B) & eqangle(P,A,P,B,Q,A,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	67 (all A all B all C all O all M (eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) & circle(O,A,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	70 (all A all B all C all D all O (coll(O,A,C) & coll(O,B,D) & para(A,B,C,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	71 (all A all B all C all D all E (cyclic(A,B,C,E) & cyclic(A,B,C,D) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	73 (all A all B all C all E all F (midp(F,A,C) & midp(E,A,B) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	75 (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].
11.48/11.80	78 (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].
11.48/11.80	83 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	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(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause).  [assumption].
11.48/11.80	87 (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].
11.48/11.80	89 (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].
11.48/11.80	92 (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].
11.48/11.80	94 (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].
11.48/11.80	95 -(all A all B all C all O all H all C1 all A1 all NWPNT1 all NWPNT2 (perp(A,B,C,H) & circle(O,A,A1,NWPNT2) & coll(A1,A,H) & coll(C1,C,H) & circle(O,C,C1,NWPNT1) & perp(B,C,A,H) & perp(A,C,B,H) & circle(O,A,B,C) -> cong(B,A1,B,C1))) # label(exemplo6GDDFULL214037) # label(negated_conjecture) # label(non_clause).  [assumption].
11.48/11.80	101 -circle(A,B,C,D) | perp(f8(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom).  [clausify(27)].
11.48/11.80	104 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom).  [clausify(56)].
11.48/11.80	105 -eqangle(A,B,A,C,D,B,D,E) | -coll(E,B,C) | -circle(D,A,B,C) | midp(E,B,C) # label(ruleD51) # label(axiom).  [clausify(67)].
11.48/11.80	108 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom).  [clausify(94)].
11.48/11.80	109 circle(c4,c1,c7,c9) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	110 circle(c4,c3,c6,c8) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	111 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	119 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom).  [clausify(5)].
11.48/11.80	125 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom).  [clausify(10)].
11.48/11.80	127 -coll(A,B,C) | -para(D,A,E,C) | -midp(D,B,E) | midp(A,B,C) # label(ruleD45) # label(axiom).  [clausify(12)].
11.48/11.80	128 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom).  [clausify(13)].
11.48/11.80	134 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom).  [clausify(18)].
11.48/11.80	135 -coll(A,B,C) | -coll(A,B,D) | coll(D,C,A) # label(ruleD3) # label(axiom).  [clausify(19)].
11.48/11.80	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(21)].
11.48/11.80	138 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom).  [clausify(24)].
11.48/11.80	149 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom).  [clausify(34)].
11.48/11.80	151 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom).  [clausify(36)].
11.48/11.80	153 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom).  [clausify(39)].
11.48/11.80	158 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom).  [clausify(43)].
11.48/11.80	159 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom).  [clausify(44)].
11.48/11.80	163 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom).  [clausify(48)].
11.48/11.80	166 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom).  [clausify(51)].
11.48/11.80	169 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom).  [clausify(55)].
11.48/11.80	175 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom).  [clausify(62)].
11.48/11.80	176 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom).  [clausify(63)].
11.48/11.80	177 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom).  [clausify(64)].
11.48/11.80	178 -coll(A,B,C) | -eqangle(A,D,A,C,B,D,B,C) | cyclic(D,C,A,B) # label(ruleD42b) # label(axiom).  [clausify(65)].
11.48/11.80	182 -coll(A,B,C) | -coll(A,D,E) | -para(B,D,C,E) | eqratio(A,B,B,C,A,D,D,E) # label(ruleD65) # label(axiom).  [clausify(70)].
11.48/11.80	183 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,E,D) # label(ruleD17) # label(axiom).  [clausify(71)].
11.48/11.80	184 -midp(A,B,C) | -midp(D,B,E) | para(D,A,E,C) # label(ruleD44) # label(axiom).  [clausify(73)].
11.48/11.80	186 -perp(A,B,C,D) | -midp(B,C,D) | cong(A,C,A,D) # label(ruleD55) # label(axiom).  [clausify(75)].
11.48/11.80	190 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom).  [clausify(78)].
11.48/11.80	198 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom).  [clausify(83)].
11.48/11.80	199 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom).  [clausify(85)].
11.48/11.80	201 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom).  [clausify(87)].
11.48/11.80	203 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,E,D) # label(ruleD64) # label(axiom).  [clausify(89)].
11.48/11.80	206 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom).  [clausify(92)].
11.48/11.80	211 perp(c1,c2,c3,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	212 coll(c7,c1,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	213 coll(c6,c3,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	214 perp(c2,c3,c1,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	215 perp(c1,c3,c2,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	216 -cong(c2,c7,c2,c6) # label(exemplo6GDDFULL214037) # label(negated_conjecture).  [clausify(95)].
11.48/11.80	252 -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(108,c,105,c)].
11.48/11.80	263 perp(f8(c1,c7,c9,c4),c1,c1,c4).  [resolve(109,a,101,a)].
11.48/11.80	277 perp(f8(c3,c6,c8,c4),c3,c3,c4).  [resolve(110,a,101,a)].
11.48/11.80	293 -coll(c4,c1,c3) | perp(c1,c2,c2,c3).  [resolve(111,a,104,a)].
11.48/11.80	305 -coll(A,B,C) | coll(C,C,A).  [factor(135,a,b)].
11.48/11.80	306 -cyclic(A,B,C,C) | -cong(A,C,B,C) | perp(C,A,A,C).  [factor(136,b,c)].
11.48/11.80	311 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D).  [factor(159,a,b)].
11.48/11.80	314 -cong(A,B,C,B) | perp(A,C,B,B).  [factor(163,a,b)].
11.48/11.80	320 -cyclic(A,B,C,D) | cyclic(B,C,D,D).  [factor(183,a,b)].
11.48/11.80	321 -midp(A,B,C) | para(A,A,C,C).  [factor(184,a,b)].
11.48/11.80	327 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D).  [factor(203,b,c)].
11.48/11.80	348 -cong(A,B,A,C) | -eqangle(B,C,B,C,A,C,A,D) | -coll(D,C,C) | midp(D,C,C).  [factor(252,a,b)].
11.48/11.80	368 -perp(A,B,c1,c2) | para(A,B,c3,c5).  [resolve(211,a,198,b)].
11.48/11.80	369 -perp(c3,c5,A,B) | para(c1,c2,A,B).  [resolve(211,a,198,a)].
11.48/11.80	373 perp(c1,c2,c5,c3).  [resolve(211,a,151,a)].
11.48/11.80	374 perp(c3,c5,c1,c2).  [resolve(211,a,138,a)].
11.48/11.80	375 coll(c7,c5,c1).  [resolve(212,a,176,a)].
11.48/11.80	377 -coll(c7,c1,A) | coll(A,c5,c7).  [resolve(212,a,135,a)].
11.48/11.80	378 coll(c1,c7,c5).  [resolve(212,a,119,a)].
11.48/11.80	379 coll(c6,c5,c3).  [resolve(213,a,176,a)].
11.48/11.80	391 -perp(A,B,c2,c3) | para(A,B,c1,c5).  [resolve(214,a,198,b)].
11.48/11.80	392 -perp(c1,c5,A,B) | para(c2,c3,A,B).  [resolve(214,a,198,a)].
11.48/11.80	396 perp(c2,c3,c5,c1).  [resolve(214,a,151,a)].
11.48/11.80	397 perp(c1,c5,c2,c3).  [resolve(214,a,138,a)].
11.48/11.80	398 -perp(A,B,c1,c3) | para(A,B,c2,c5).  [resolve(215,a,198,b)].
11.48/11.80	403 perp(c1,c3,c5,c2).  [resolve(215,a,151,a)].
11.48/11.80	404 perp(c2,c5,c1,c3).  [resolve(215,a,138,a)].
11.48/11.80	414 -perp(A,B,f8(c1,c7,c9,c4),c1) | para(A,B,c1,c4).  [resolve(263,a,198,b)].
11.48/11.80	422 perp(c1,c4,f8(c1,c7,c9,c4),c1).  [resolve(263,a,138,a)].
11.48/11.80	439 -perp(A,B,f8(c3,c6,c8,c4),c3) | para(A,B,c3,c4).  [resolve(277,a,198,b)].
11.48/11.80	447 perp(c3,c4,f8(c3,c6,c8,c4),c3).  [resolve(277,a,138,a)].
11.48/11.80	480 coll(c5,c5,c6).  [resolve(305,a,213,a)].
11.48/11.80	482 coll(c1,c1,c7).  [resolve(375,a,305,a)].
11.48/11.80	486 coll(c5,c5,c1).  [resolve(378,a,305,a)].
11.48/11.80	492 -coll(c6,c5,A) | coll(A,c3,c6).  [resolve(379,a,135,a)].
11.48/11.80	493 coll(c5,c6,c3).  [resolve(379,a,119,a)].
11.48/11.80	499 coll(c5,c6,c5).  [resolve(480,a,176,a)].
11.48/11.80	500 -coll(c5,c5,A) | coll(c6,A,c5).  [resolve(480,a,135,b)].
11.48/11.80	507 coll(c1,c7,c1).  [resolve(482,a,176,a)].
11.48/11.80	508 -coll(c1,c1,A) | coll(c7,A,c1).  [resolve(482,a,135,b)].
11.48/11.80	523 coll(c3,c3,c5).  [resolve(493,a,305,a)].
11.48/11.80	535 coll(c5,c5,c5).  [resolve(499,a,305,a)].
11.48/11.80	548 coll(c1,c1,c1).  [resolve(507,a,305,a)].
11.48/11.80	567 coll(c3,c5,c3).  [resolve(523,a,176,a)].
11.48/11.80	607 coll(c5,c3,c3).  [resolve(567,a,119,a)].
11.48/11.80	637 perp(c5,c3,c1,c2).  [resolve(373,a,138,a)].
11.48/11.80	638 para(c1,c2,c1,c2).  [resolve(374,a,369,a)].
11.48/11.80	639 para(c3,c5,c3,c5).  [resolve(374,a,368,a)].
11.48/11.80	662 -perp(A,B,c2,c3) | para(A,B,c5,c1).  [resolve(396,a,198,b)].
11.48/11.80	667 perp(c5,c1,c2,c3).  [resolve(396,a,138,a)].
11.48/11.80	681 perp(c1,c5,c3,c2).  [resolve(397,a,151,a)].
11.48/11.80	703 perp(c5,c2,c1,c3).  [resolve(403,a,138,a)].
11.48/11.80	718 para(c5,c3,c3,c5).  [resolve(637,a,368,a)].
11.48/11.80	737 -coll(A,c1,c1) | -coll(A,c2,c2) | eqratio(A,c1,c1,c1,A,c2,c2,c2).  [resolve(638,a,182,c)].
11.48/11.80	738 coll(c1,c2,c2).  [resolve(638,a,169,a)].
11.48/11.80	739 eqangle(c1,c2,A,B,c1,c2,A,B).  [resolve(638,a,158,a)].
11.48/11.80	747 coll(c2,c2,c1).  [resolve(738,a,305,a)].
11.48/11.80	750 coll(c2,c1,c2).  [resolve(738,a,119,a)].
11.48/11.80	753 coll(c1,c1,c2).  [resolve(747,a,305,a)].
11.48/11.80	756 coll(c2,c2,c2).  [resolve(750,a,305,a)].
11.48/11.80	759 coll(c1,c2,c1).  [resolve(753,a,176,a)].
11.48/11.80	765 coll(c2,c1,c1).  [resolve(759,a,119,a)].
11.48/11.80	772 -coll(A,c3,c3) | -coll(A,c5,c5) | eqratio(A,c3,c3,c3,A,c5,c5,c5).  [resolve(639,a,182,c)].
11.48/11.80	773 eqangle(c3,c5,A,B,c3,c5,A,B).  [resolve(639,a,158,a)].
11.48/11.80	839 para(c5,c3,c5,c3).  [resolve(718,a,206,a)].
11.48/11.80	984 eqangle(c5,c3,A,B,c5,c3,A,B).  [resolve(839,a,158,a)].
11.48/11.80	1090 para(c5,c1,c1,c5).  [resolve(391,a,667,a)].
11.48/11.80	1096 para(c5,c1,c5,c1).  [resolve(1090,a,206,a)].
11.48/11.80	1121 -midp(A,c5,c5) | midp(A,c1,c1).  [resolve(1096,a,327,b)].
11.48/11.80	1125 eqangle(c5,c1,A,B,c5,c1,A,B).  [resolve(1096,a,158,a)].
11.48/11.80	1148 para(c2,c3,c3,c2).  [resolve(392,a,681,a)].
11.48/11.80	1149 para(c2,c3,c2,c3).  [resolve(392,a,397,a)].
11.48/11.80	1162 para(c3,c2,c2,c3).  [resolve(1148,a,128,a)].
11.48/11.80	1166 -midp(A,c2,c2) | midp(A,c3,c3).  [resolve(1149,a,327,b)].
11.48/11.80	1171 eqangle(c2,c3,A,B,c2,c3,A,B).  [resolve(1149,a,158,a)].
11.48/11.80	1204 para(c3,c2,c3,c2).  [resolve(1162,a,206,a)].
11.48/11.80	1220 eqangle(c3,c2,A,B,c3,c2,A,B).  [resolve(1204,a,158,a)].
11.48/11.80	1228 coll(c6,c1,c5).  [resolve(500,a,486,a)].
11.48/11.80	1230 coll(c6,c5,c1).  [resolve(1228,a,176,a)].
11.48/11.80	1238 coll(c1,c3,c6).  [resolve(1230,a,492,a)].
11.48/11.80	1241 -coll(c6,c5,A) | coll(c1,A,c6).  [resolve(1230,a,135,b)].
11.48/11.80	1253 para(c5,c2,c2,c5).  [resolve(398,a,703,a)].
11.48/11.80	1254 para(c2,c5,c2,c5).  [resolve(398,a,404,a)].
11.48/11.80	1259 coll(c1,c6,c3).  [resolve(1238,a,176,a)].
11.48/11.80	1296 -coll(c1,c6,A) | coll(c3,A,c1).  [resolve(1259,a,135,b)].
11.48/11.80	1452 para(c5,c2,c5,c2).  [resolve(1253,a,206,a)].
11.48/11.80	1470 eqangle(c2,c5,A,B,c2,c5,A,B).  [resolve(1254,a,158,a)].
11.48/11.80	1567 para(c1,c4,c1,c4).  [resolve(422,a,414,a)].
11.48/11.80	1641 eqangle(c5,c2,A,B,c5,c2,A,B).  [resolve(1452,a,158,a)].
11.48/11.80	1669 coll(c1,c4,c4).  [resolve(1567,a,169,a)].
11.48/11.80	1678 coll(c4,c4,c1).  [resolve(1669,a,305,a)].
11.48/11.80	1686 coll(c1,c1,c4).  [resolve(1678,a,305,a)].
11.48/11.80	1851 coll(c7,c4,c1).  [resolve(508,a,1686,a)].
11.48/11.80	1852 coll(c7,c1,c4).  [resolve(1851,a,176,a)].
11.48/11.80	1856 coll(c4,c5,c7).  [resolve(1852,a,377,a)].
11.48/11.80	1870 coll(c4,c7,c5).  [resolve(1856,a,176,a)].
11.48/11.80	1895 coll(c5,c5,c4).  [resolve(1870,a,305,a)].
11.48/11.80	1922 coll(c6,c4,c5).  [resolve(1895,a,500,a)].
11.48/11.80	1954 coll(c6,c5,c4).  [resolve(1922,a,176,a)].
11.48/11.80	2094 para(c3,c4,c3,c4).  [resolve(447,a,439,a)].
11.48/11.80	2173 -midp(A,c3,c3) | midp(A,c4,c4).  [resolve(2094,a,327,b)].
11.48/11.80	2178 eqangle(c3,c4,A,B,c3,c4,A,B).  [resolve(2094,a,158,a)].
11.48/11.80	2851 coll(c1,c4,c6).  [resolve(1241,a,1954,a)].
11.48/11.80	2852 coll(c1,c6,c4).  [resolve(2851,a,176,a)].
11.48/11.80	3041 coll(c3,c4,c1).  [resolve(1296,a,2852,a)].
11.48/11.80	3045 coll(c4,c3,c1).  [resolve(3041,a,119,a)].
11.48/11.80	3070 coll(c4,c1,c3).  [resolve(3045,a,176,a)].
11.48/11.80	3073 perp(c1,c2,c2,c3).  [back_unit_del(293),unit_del(a,3070)].
11.48/11.80	3102 para(c1,c2,c5,c1).  [resolve(3073,a,662,a)].
11.48/11.80	3104 para(c1,c2,c1,c5).  [resolve(3073,a,391,a)].
11.48/11.80	3123 perp(c2,c3,c1,c2).  [resolve(3073,a,138,a)].
11.48/11.80	3143 para(c5,c1,c1,c2).  [resolve(3102,a,128,a)].
11.48/11.80	3168 -midp(A,c1,c1) | -para(c1,c5,c1,c2) | midp(A,c5,c2).  [resolve(3104,a,203,b)].
11.48/11.80	3178 para(c1,c5,c1,c2).  [resolve(3104,a,128,a)].
11.48/11.80	3182 -midp(A,c1,c1) | midp(A,c5,c2).  [back_unit_del(3168),unit_del(b,3178)].
11.48/11.80	3236 perp(c2,c3,c2,c1).  [resolve(3123,a,151,a)].
11.48/11.80	3241 para(c5,c1,c2,c1).  [resolve(3143,a,206,a)].
11.48/11.80	3246 -perp(c1,c2,A,B) | perp(c5,c1,A,B).  [resolve(3143,a,149,a)].
11.48/11.80	3340 -perp(c2,c1,A,B) | para(c2,c3,A,B).  [resolve(3236,a,198,a)].
11.48/11.80	3350 -perp(c2,c1,A,B) | perp(c5,c1,A,B).  [resolve(3241,a,149,a)].
11.48/11.80	3357 para(c2,c1,c5,c1).  [resolve(3241,a,128,a)].
11.48/11.80	3471 -coll(c1,A,c1) | -midp(c2,A,c5) | midp(c1,A,c1).  [resolve(3357,a,127,b)].
11.48/11.80	3628 eqratio(c2,c1,c1,c1,c2,c2,c2,c2).  [resolve(737,b,756,a),unit_del(a,765)].
11.48/11.80	3634 eqangle(A,B,c1,c2,A,B,c1,c2).  [resolve(739,a,199,a)].
11.48/11.80	3697 eqratio(c5,c3,c3,c3,c5,c5,c5,c5).  [resolve(772,b,535,a),unit_del(a,607)].
11.48/11.80	3698 -cong(c3,c3,c3,c5) | midp(c5,c5,c5).  [resolve(773,a,348,b),unit_del(b,535)].
11.48/11.80	3702 eqangle(A,B,c3,c5,A,B,c3,c5).  [resolve(773,a,199,a)].
11.48/11.80	3707 -coll(c3,c3,A) | cyclic(c5,A,c3,c3).  [resolve(773,a,178,b)].
11.48/11.80	5957 -coll(c5,c5,A) | cyclic(c3,A,c5,c5).  [resolve(984,a,178,b)].
11.48/11.80	8807 -cong(c5,c5,c5,c1) | midp(c1,c1,c1).  [resolve(1125,a,348,b),unit_del(b,548)].
11.48/11.80	9675 -coll(c2,c2,A) | cyclic(c3,A,c2,c2).  [resolve(1171,a,178,b)].
11.48/11.80	10302 -cyclic(c2,c2,c3,c2) | -cyclic(c2,c2,c3,c3) | cong(c2,c2,c2,c2).  [resolve(1220,a,311,c)].
11.48/11.80	10307 -coll(c3,c3,A) | cyclic(c2,A,c3,c3).  [resolve(1220,a,178,b)].
11.48/11.80	10971 -cyclic(c5,c5,c2,c5) | -cyclic(c5,c5,c2,c2) | cong(c5,c5,c5,c5).  [resolve(1470,a,311,c)].
11.48/11.80	10976 -coll(c2,c2,A) | cyclic(c5,A,c2,c2).  [resolve(1470,a,178,b)].
11.48/11.80	12420 -cong(c5,c5,c5,c2) | midp(c2,c2,c2).  [resolve(1641,a,348,b),unit_del(b,756)].
11.48/11.80	12424 -coll(c5,c5,A) | cyclic(c2,A,c5,c5).  [resolve(1641,a,178,b)].
11.48/11.80	15444 -coll(c3,c3,A) | cyclic(c4,A,c3,c3).  [resolve(2178,a,178,b)].
11.48/11.80	19228 -cong(c2,c2,c2,c2) | cong(c2,c1,c1,c1).  [resolve(3628,a,175,a)].
11.48/11.80	19233 cyclic(A,c2,c1,c1).  [resolve(3634,a,178,b),unit_del(a,753)].
11.48/11.80	19236 para(A,B,A,B).  [resolve(3634,a,125,a)].
11.48/11.80	19239 cyclic(c2,c1,c1,c1).  [resolve(19233,a,320,a)].
11.48/11.80	19247 -midp(A,B,B) | midp(A,C,C).  [resolve(19236,a,327,b)].
11.48/11.80	19249 coll(A,B,B).  [resolve(19236,a,169,a)].
11.48/11.80	19374 coll(A,A,B).  [resolve(19249,a,305,a)].
11.48/11.80	19377 coll(A,B,A).  [resolve(19249,a,119,a)].
11.48/11.80	19437 cyclic(c4,A,c3,c3).  [back_unit_del(15444),unit_del(a,19374)].
11.48/11.80	19441 cyclic(c2,A,c5,c5).  [back_unit_del(12424),unit_del(a,19374)].
11.48/11.80	19443 cyclic(c5,A,c2,c2).  [back_unit_del(10976),unit_del(a,19374)].
11.48/11.80	19460 cyclic(c2,A,c3,c3).  [back_unit_del(10307),unit_del(a,19374)].
11.48/11.80	19473 cyclic(c3,A,c2,c2).  [back_unit_del(9675),unit_del(a,19374)].
11.48/11.80	19553 cyclic(c3,A,c5,c5).  [back_unit_del(5957),unit_del(a,19374)].
11.48/11.80	19650 cyclic(c5,A,c3,c3).  [back_unit_del(3707),unit_del(a,19374)].
11.48/11.80	19743 -midp(c2,A,c5) | midp(c1,A,c1).  [back_unit_del(3471),unit_del(a,19377)].
11.48/11.80	19763 -cyclic(c5,c5,c2,c5) | cong(c5,c5,c5,c5).  [back_unit_del(10971),unit_del(b,19443)].
11.48/11.80	19765 -cyclic(c2,c2,c3,c2) | cong(c2,c2,c2,c2).  [back_unit_del(10302),unit_del(b,19460)].
11.48/11.80	20006 coll(A,B,C).  [resolve(19374,a,135,b),unit_del(a,19374)].
11.48/11.80	20030 -para(A,B,C,D) | -midp(A,E,C) | midp(B,E,D).  [back_unit_del(127),unit_del(a,20006)].
11.48/11.80	20074 -cong(c2,c1,c1,c1) | perp(c1,c2,c2,c1).  [resolve(19239,a,306,a)].
11.48/11.80	20107 -cong(c5,c5,c5,c5) | cong(c5,c3,c3,c3).  [resolve(3697,a,175,a)].
11.48/11.80	20159 cyclic(c4,c3,A,c3).  [resolve(19437,a,201,a)].
11.48/11.80	20227 cyclic(A,c2,c5,c5).  [resolve(19441,a,153,a)].
11.48/11.80	20233 -cyclic(A,c5,c3,A) | -cyclic(A,c5,c3,c5) | -cyclic(A,c5,c3,c3) | cong(A,c5,A,c5).  [resolve(3702,a,159,d)].
11.48/11.80	20298 cyclic(A,c3,c2,c2).  [resolve(19473,a,153,a)].
11.48/11.80	20358 cyclic(A,c3,c5,c5).  [resolve(19553,a,153,a)].
11.48/11.80	20370 cyclic(c5,c3,A,c3).  [resolve(19650,a,201,a)].
11.48/11.80	20373 cyclic(A,c5,c3,c3).  [resolve(19650,a,153,a)].
11.48/11.80	20376 -cyclic(A,c5,c3,A) | -cyclic(A,c5,c3,c5) | cong(A,c5,A,c5).  [back_unit_del(20233),unit_del(c,20373)].
11.48/11.80	20627 cyclic(c4,c3,c3,A).  [resolve(20159,a,134,a)].
11.48/11.80	20692 cyclic(A,c5,c2,c5).  [resolve(20227,a,201,a)].
11.48/11.80	20694 cong(c5,c5,c5,c5).  [back_unit_del(19763),unit_del(a,20692)].
11.48/11.80	20695 cong(c5,c3,c3,c3).  [back_unit_del(20107),unit_del(a,20694)].
11.48/11.80	20756 cyclic(A,c2,c3,c2).  [resolve(20298,a,201,a)].
11.48/11.80	20758 cong(c2,c2,c2,c2).  [back_unit_del(19765),unit_del(a,20756)].
11.48/11.80	20759 cong(c2,c1,c1,c1).  [back_unit_del(19228),unit_del(a,20758)].
11.48/11.80	20761 perp(c1,c2,c2,c1).  [back_unit_del(20074),unit_del(a,20759)].
11.48/11.80	20811 cyclic(A,c5,c3,c5).  [resolve(20358,a,201,a)].
11.48/11.80	20813 -cyclic(A,c5,c3,A) | cong(A,c5,A,c5).  [back_unit_del(20376),unit_del(b,20811)].
11.48/11.80	20818 cyclic(c3,c5,A,c3).  [resolve(20370,a,153,a)].
11.48/11.80	20985 cyclic(c3,c3,A,B).  [resolve(20627,a,183,b),unit_del(a,20627)].
11.48/11.80	21100 cong(c3,c3,c5,c3).  [resolve(20695,a,166,a)].
11.48/11.80	21249 perp(c2,c1,c1,c1).  [resolve(20759,a,314,a)].
11.48/11.80	21264 perp(c5,c1,c2,c1).  [resolve(20761,a,3246,a)].
11.48/11.80	21429 cyclic(c3,A,c5,c3).  [resolve(20818,a,201,a)].
11.48/11.80	21589 cyclic(c3,A,B,C).  [resolve(20985,a,183,b),unit_del(a,20985)].
11.48/11.80	21702 cong(c3,c3,c3,c5).  [resolve(21100,a,190,a)].
11.48/11.80	21707 midp(c5,c5,c5).  [back_unit_del(3698),unit_del(a,21702)].
11.48/11.80	21709 midp(c5,c1,c1).  [resolve(21707,a,1121,a)].
11.48/11.80	21743 midp(c5,c5,c2).  [resolve(21709,a,3182,a)].
11.48/11.80	21747 para(c5,c5,c1,c1).  [resolve(21709,a,321,a)].
11.48/11.80	21817 cong(c5,c5,c5,c2).  [resolve(21743,a,177,a)].
11.48/11.80	21822 midp(c2,c2,c2).  [back_unit_del(12420),unit_del(a,21817)].
11.48/11.80	21846 midp(c2,c3,c3).  [resolve(21822,a,1166,a)].
11.48/11.80	21881 midp(c2,c4,c4).  [resolve(21846,a,2173,a)].
11.48/11.80	22057 para(c2,c3,c1,c1).  [resolve(21249,a,3340,a)].
11.48/11.80	22137 perp(c2,c1,c5,c1).  [resolve(21264,a,138,a)].
11.48/11.80	22307 cyclic(A,c5,c3,B).  [resolve(21429,a,183,b),unit_del(a,21589)].
11.48/11.80	22311 cong(A,c5,A,c5).  [back_unit_del(20813),unit_del(a,22307)].
11.48/11.80	22509 para(c1,c1,c5,c5).  [resolve(21747,a,128,a)].
11.48/11.80	22646 -perp(c1,c1,A,B) | perp(c2,c3,A,B).  [resolve(22057,a,149,a)].
11.48/11.80	22793 perp(c5,c1,c5,c1).  [resolve(22137,a,3350,a)].
11.48/11.80	22893 cong(A,c5,c5,A).  [resolve(22311,a,190,a)].
11.48/11.80	22965 -perp(c5,c5,A,B) | perp(c1,c1,A,B).  [resolve(22509,a,149,a)].
11.48/11.80	23122 -midp(c1,c5,c1) | cong(c5,c5,c5,c1).  [resolve(22793,a,186,a)].
11.48/11.80	23170 cong(c5,A,A,c5).  [resolve(22893,a,166,a)].
11.48/11.80	23238 cong(c5,A,c5,A).  [resolve(23170,a,190,a)].
11.48/11.80	23330 perp(c5,c5,A,B).  [resolve(23238,a,163,b),unit_del(a,23238)].
11.48/11.80	23338 perp(c1,c1,A,B).  [back_unit_del(22965),unit_del(a,23330)].
11.48/11.80	23408 perp(c2,c3,A,B).  [back_unit_del(22646),unit_del(a,23338)].
11.48/11.80	23613 -perp(A,B,c5,c5) | para(A,B,C,D).  [resolve(23330,a,198,b)].
11.48/11.80	23614 perp(A,B,c5,c5).  [resolve(23330,a,138,a)].
11.48/11.80	23615 para(A,B,C,D).  [back_unit_del(23613),unit_del(a,23614)].
11.48/11.80	23618 -midp(A,B,C) | midp(D,B,E).  [back_unit_del(20030),unit_del(a,23615)].
11.48/11.80	23759 -midp(c3,A,B) | cong(c2,A,c2,B).  [resolve(23408,a,186,a)].
11.48/11.80	24195 midp(c2,A,A).  [resolve(19247,a,21881,a)].
11.48/11.80	24628 midp(c1,c5,c1).  [resolve(19743,a,24195,a)].
11.48/11.80	24630 cong(c5,c5,c5,c1).  [back_unit_del(23122),unit_del(a,24628)].
11.48/11.80	24634 midp(c1,c1,c1).  [back_unit_del(8807),unit_del(a,24630)].
11.48/11.80	24656 midp(c1,A,A).  [resolve(24634,a,19247,a)].
11.48/11.80	26209 midp(A,B,C).  [resolve(23618,a,24656,a)].
11.48/11.80	26493 cong(c2,A,c2,B).  [back_unit_del(23759),unit_del(a,26209)].
11.48/11.80	26494 $F.  [resolve(26493,a,216,a)].
11.48/11.80	
11.48/11.80	% SZS output end Refutation
11.48/11.80	============================== end of proof ==========================
11.48/11.80	
11.48/11.80	============================== STATISTICS ============================
11.48/11.80	
11.48/11.80	Given=13170. Generated=137867. Kept=26362. proofs=1.
11.48/11.80	Usable=10872. Sos=5552. Demods=0. Limbo=284, Disabled=9835. Hints=0.
11.48/11.80	Megabytes=15.27.
11.48/11.80	User_CPU=10.78, System_CPU=0.12, Wall_clock=11.
11.48/11.80	
11.48/11.80	============================== end of statistics =====================
11.48/11.80	
11.48/11.80	============================== end of search =========================
11.48/11.80	
11.48/11.80	THEOREM PROVED
11.48/11.80	% SZS status Theorem
11.48/11.80	
11.48/11.80	Exiting with 1 proof.
11.48/11.80	
11.48/11.80	Process 17455 exit (max_proofs) Mon Jul  3 06:17:16 2023
11.48/11.80	Prover9 interrupted
11.48/11.80	EOF