0.04/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.11	% Command    : tptp2X_and_run_prover9 %d %s
0.11/0.31	% Computer   : n018.cluster.edu
0.11/0.31	% Model      : x86_64 x86_64
0.11/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.31	% Memory     : 8042.1875MB
0.11/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.31	% CPULimit   : 1200
0.11/0.31	% DateTime   : Tue Jul 13 14:39:08 EDT 2021
0.11/0.31	% CPUTime    : 
0.85/1.17	============================== Prover9 ===============================
0.85/1.17	Prover9 (32) version 2009-11A, November 2009.
0.85/1.17	Process 17208 was started by sandbox2 on n018.cluster.edu,
0.85/1.17	Tue Jul 13 14:39:09 2021
0.85/1.17	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_17043_n018.cluster.edu".
0.85/1.17	============================== end of head ===========================
0.85/1.17	
0.85/1.17	============================== INPUT =================================
0.85/1.17	
0.85/1.17	% Reading from file /tmp/Prover9_17043_n018.cluster.edu
0.85/1.17	
0.85/1.17	set(prolog_style_variables).
0.85/1.17	set(auto2).
0.85/1.17	    % set(auto2) -> set(auto).
0.85/1.17	    % set(auto) -> set(auto_inference).
0.85/1.17	    % set(auto) -> set(auto_setup).
0.85/1.17	    % set(auto_setup) -> set(predicate_elim).
0.85/1.17	    % set(auto_setup) -> assign(eq_defs, unfold).
0.85/1.17	    % set(auto) -> set(auto_limits).
0.85/1.17	    % set(auto_limits) -> assign(max_weight, "100.000").
0.85/1.17	    % set(auto_limits) -> assign(sos_limit, 20000).
0.85/1.17	    % set(auto) -> set(auto_denials).
0.85/1.17	    % set(auto) -> set(auto_process).
0.85/1.17	    % set(auto2) -> assign(new_constants, 1).
0.85/1.17	    % set(auto2) -> assign(fold_denial_max, 3).
0.85/1.17	    % set(auto2) -> assign(max_weight, "200.000").
0.85/1.17	    % set(auto2) -> assign(max_hours, 1).
0.85/1.17	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.85/1.17	    % set(auto2) -> assign(max_seconds, 0).
0.85/1.17	    % set(auto2) -> assign(max_minutes, 5).
0.85/1.17	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.85/1.17	    % set(auto2) -> set(sort_initial_sos).
0.85/1.17	    % set(auto2) -> assign(sos_limit, -1).
0.85/1.17	    % set(auto2) -> assign(lrs_ticks, 3000).
0.85/1.17	    % set(auto2) -> assign(max_megs, 400).
0.85/1.17	    % set(auto2) -> assign(stats, some).
0.85/1.17	    % set(auto2) -> clear(echo_input).
0.85/1.17	    % set(auto2) -> set(quiet).
0.85/1.17	    % set(auto2) -> clear(print_initial_clauses).
0.85/1.17	    % set(auto2) -> clear(print_given).
0.85/1.17	assign(lrs_ticks,-1).
0.85/1.17	assign(sos_limit,10000).
0.85/1.17	assign(order,kbo).
0.85/1.17	set(lex_order_vars).
0.85/1.17	clear(print_given).
0.85/1.17	
0.85/1.17	% formulas(sos).  % not echoed (95 formulas)
0.85/1.17	
0.85/1.17	============================== end of input ==========================
0.85/1.17	
0.85/1.17	% From the command line: assign(max_seconds, 1200).
0.85/1.17	
0.85/1.17	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.85/1.17	
0.85/1.17	% Formulas that are not ordinary clauses:
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	17 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause).  [assumption].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	22 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause).  [assumption].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	45 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause).  [assumption].
0.85/1.17	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].
0.85/1.17	47 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause).  [assumption].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	62 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause).  [assumption].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	78 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause).  [assumption].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	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].
0.85/1.17	95 -(all A all B all C all D all E all F all G all H all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 (circle(A,B,NWPNT1,NWPNT2) & circle(C,B,D,NWPNT6) & circle(C,B,G,NWPNT8) & coll(H,C,G) & coll(H,A,F) & coll(G,B,F) & circle(A,B,F,NWPNT7) & midp(E,D,B) & circle(A,B,D,NWPNT5) & circle(C,B,NWPNT3,NWPNT4) -> eqangle(F,D,D,G,A,H,H,C))) # label(exemplo6GDDFULL618075y) # label(negated_conjecture) # label(non_clause).  [assumption].
0.85/1.17	
0.85/1.17	============================== end of process non-clausal formulas ===
0.85/1.17	
0.85/1.17	============================== PROCESS INITIAL CLAUSES ===============
0.85/1.17	
0.85/1.17	============================== PREDICATE ELIMINATION =================
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	99 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom).  [clausify(29)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	102 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom).  [clausify(59)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	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)].
0.85/1.17	103 -circle(A,B,C,D) | perp(f16(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom).  [clausify(75)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	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)].
0.85/1.18	109 circle(c1,c2,c9,c10) # label(exemplo6GDDFULL618075y) # label(negated_conjecture).  [clausify(95)].
0.85/1.18	Derived: -eqangle(c2,c9,c2,c10,c1,c9,c1,A) | -coll(A,c9,c10) | midp(A,c9,c10).  [resolve(109,a,97,a)].
0.85/1.18	Derived: -eqangle(c2,A,c2,c9,c10,c2,c10,c9) | perp(c1,c2,c2,A).  [resolve(109,a,98,a)].
0.85/1.18	Derived: -midp(A,c9,c10) | eqangle(c2,c9,c2,c10,c1,c9,c1,A).  [resolve(109,a,101,b)].
0.85/1.18	Derived: -coll(c1,c2,c10) | perp(c2,c9,c9,c10).  [resolve(109,a,102,a)].
0.85/1.18	Derived: perp(f16(c2,c9,c10,c1),c2,c2,c1).  [resolve(109,a,103,a)].
0.85/1.18	Derived: -perp(c1,c2,c2,A) | eqangle(c2,A,c2,c9,c10,c2,c10,c9).  [resolve(109,a,104,b)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c9) | B = c1 | coll(f19(c2,c9,c10,A,c1,B),c2,c10).  [resolve(109,a,105,d)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c9) | B = c1 | cong(f19(c2,c9,c10,A,c1,B),B,B,c2).  [resolve(109,a,106,d)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c9) | B = c1 | coll(f20(c2,c9,c10,A,c1,B),c9,A).  [resolve(109,a,107,d)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c9) | B = c1 | cong(f20(c2,c9,c10,A,c1,B),B,B,c2).  [resolve(109,a,108,d)].
0.85/1.18	110 circle(c3,c2,c4,c14) # label(exemplo6GDDFULL618075y) # label(negated_conjecture).  [clausify(95)].
0.85/1.18	Derived: -eqangle(c2,c4,c2,c14,c3,c4,c3,A) | -coll(A,c4,c14) | midp(A,c4,c14).  [resolve(110,a,97,a)].
0.85/1.18	Derived: -eqangle(c2,A,c2,c4,c14,c2,c14,c4) | perp(c3,c2,c2,A).  [resolve(110,a,98,a)].
0.85/1.18	Derived: -midp(A,c4,c14) | eqangle(c2,c4,c2,c14,c3,c4,c3,A).  [resolve(110,a,101,b)].
0.85/1.18	Derived: -coll(c3,c2,c14) | perp(c2,c4,c4,c14).  [resolve(110,a,102,a)].
0.85/1.18	Derived: perp(f16(c2,c4,c14,c3),c2,c2,c3).  [resolve(110,a,103,a)].
0.85/1.18	Derived: -perp(c3,c2,c2,A) | eqangle(c2,A,c2,c4,c14,c2,c14,c4).  [resolve(110,a,104,b)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c4) | B = c3 | coll(f19(c2,c4,c14,A,c3,B),c2,c14).  [resolve(110,a,105,d)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c4) | B = c3 | cong(f19(c2,c4,c14,A,c3,B),B,B,c2).  [resolve(110,a,106,d)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c4) | B = c3 | coll(f20(c2,c4,c14,A,c3,B),c4,A).  [resolve(110,a,107,d)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c4) | B = c3 | cong(f20(c2,c4,c14,A,c3,B),B,B,c2).  [resolve(110,a,108,d)].
0.85/1.18	111 circle(c3,c2,c7,c16) # label(exemplo6GDDFULL618075y) # label(negated_conjecture).  [clausify(95)].
0.85/1.18	Derived: -eqangle(c2,c7,c2,c16,c3,c7,c3,A) | -coll(A,c7,c16) | midp(A,c7,c16).  [resolve(111,a,97,a)].
0.85/1.18	Derived: -eqangle(c2,A,c2,c7,c16,c2,c16,c7) | perp(c3,c2,c2,A).  [resolve(111,a,98,a)].
0.85/1.18	Derived: -midp(A,c7,c16) | eqangle(c2,c7,c2,c16,c3,c7,c3,A).  [resolve(111,a,101,b)].
0.85/1.18	Derived: -coll(c3,c2,c16) | perp(c2,c7,c7,c16).  [resolve(111,a,102,a)].
0.85/1.18	Derived: perp(f16(c2,c7,c16,c3),c2,c2,c3).  [resolve(111,a,103,a)].
0.85/1.18	Derived: -perp(c3,c2,c2,A) | eqangle(c2,A,c2,c7,c16,c2,c16,c7).  [resolve(111,a,104,b)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c7) | B = c3 | coll(f19(c2,c7,c16,A,c3,B),c2,c16).  [resolve(111,a,105,d)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c7) | B = c3 | cong(f19(c2,c7,c16,A,c3,B),B,B,c2).  [resolve(111,a,106,d)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c7) | B = c3 | coll(f20(c2,c7,c16,A,c3,B),c7,A).  [resolve(111,a,107,d)].
0.85/1.18	Derived: -cong(c3,c2,c3,A) | -cong(B,c2,B,c7) | B = c3 | cong(f20(c2,c7,c16,A,c3,B),B,B,c2).  [resolve(111,a,108,d)].
0.85/1.18	112 circle(c1,c2,c6,c15) # label(exemplo6GDDFULL618075y) # label(negated_conjecture).  [clausify(95)].
0.85/1.18	Derived: -eqangle(c2,c6,c2,c15,c1,c6,c1,A) | -coll(A,c6,c15) | midp(A,c6,c15).  [resolve(112,a,97,a)].
0.85/1.18	Derived: -eqangle(c2,A,c2,c6,c15,c2,c15,c6) | perp(c1,c2,c2,A).  [resolve(112,a,98,a)].
0.85/1.18	Derived: -midp(A,c6,c15) | eqangle(c2,c6,c2,c15,c1,c6,c1,A).  [resolve(112,a,101,b)].
0.85/1.18	Derived: -coll(c1,c2,c15) | perp(c2,c6,c6,c15).  [resolve(112,a,102,a)].
0.85/1.18	Derived: perp(f16(c2,c6,c15,c1),c2,c2,c1).  [resolve(112,a,103,a)].
0.85/1.18	Derived: -perp(c1,c2,c2,A) | eqangle(c2,A,c2,c6,c15,c2,c15,c6).  [resolve(112,a,104,b)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c6) | B = c1 | coll(f19(c2,c6,c15,A,c1,B),c2,c15).  [resolve(112,a,105,d)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c6) | B = c1 | cong(f19(c2,c6,c15,A,c1,B),B,B,c2).  [resolve(112,a,106,d)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c6) | B = c1 | coll(f20(c2,c6,c15,A,c1,B),c6,A).  [resolve(112,a,107,d)].
0.85/1.18	Derived: -cong(c1,c2,c1,A) | -cong(B,c2,B,c6) | B = c1 | cong(f20(c2,c6,c15,A,c1,B),B,B,c2).  [resolve(112,a,108,d)].
0.85/1.18	113 circle(c1,c2,c4,c13) # label(exemplo6GDDFULL618075y) # label(negated_conjecture).  [clausify(95)].
0.85/1.18	Derived: -eqangle(c2,c4,c2,c13,c1,c4,c1,A) | -coll(A,c4,c13) | midp(A,c4,c13).  [resolve(113,a,97,a)].
0.85/1.18	Derived: -eqangle(c2,A,c2,c4,c13,c2,c13,c4) | perp(c1,c2,c2,A).  [resolve(113,a,98,a)].
0.85/1.18	DeriveAlarm clock 
119.34/120.03	Prover9 interrupted
119.34/120.03	EOF