TSTP Solution File: GEO606+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:57:11 EDT 2022
% Result : Theorem 11.23s 11.48s
% Output : Refutation 11.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 04:36:49 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.83/1.15 ============================== Prover9 ===============================
% 0.83/1.15 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.15 Process 20973 was started by sandbox2 on n014.cluster.edu,
% 0.83/1.15 Sat Jun 18 04:36:50 2022
% 0.83/1.15 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20820_n014.cluster.edu".
% 0.83/1.15 ============================== end of head ===========================
% 0.83/1.15
% 0.83/1.15 ============================== INPUT =================================
% 0.83/1.15
% 0.83/1.15 % Reading from file /tmp/Prover9_20820_n014.cluster.edu
% 0.83/1.15
% 0.83/1.15 set(prolog_style_variables).
% 0.83/1.15 set(auto2).
% 0.83/1.15 % set(auto2) -> set(auto).
% 0.83/1.15 % set(auto) -> set(auto_inference).
% 0.83/1.15 % set(auto) -> set(auto_setup).
% 0.83/1.15 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.15 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.15 % set(auto) -> set(auto_limits).
% 0.83/1.15 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.15 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.15 % set(auto) -> set(auto_denials).
% 0.83/1.15 % set(auto) -> set(auto_process).
% 0.83/1.15 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.15 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.15 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.15 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.15 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.15 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.15 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.15 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.15 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.15 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.15 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.15 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.15 % set(auto2) -> assign(stats, some).
% 0.83/1.15 % set(auto2) -> clear(echo_input).
% 0.83/1.15 % set(auto2) -> set(quiet).
% 0.83/1.15 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.15 % set(auto2) -> clear(print_given).
% 0.83/1.15 assign(lrs_ticks,-1).
% 0.83/1.15 assign(sos_limit,10000).
% 0.83/1.15 assign(order,kbo).
% 0.83/1.15 set(lex_order_vars).
% 0.83/1.15 clear(print_given).
% 0.83/1.15
% 0.83/1.15 % formulas(sos). % not echoed (95 formulas)
% 0.83/1.15
% 0.83/1.15 ============================== end of input ==========================
% 0.83/1.15
% 0.83/1.15 % From the command line: assign(max_seconds, 300).
% 0.83/1.15
% 0.83/1.15 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.15
% 0.83/1.15 % Formulas that are not ordinary clauses:
% 0.83/1.15 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 3 (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].
% 0.83/1.15 4 (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].
% 0.83/1.15 5 (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].
% 0.83/1.15 6 (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].
% 0.83/1.15 7 (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].
% 0.83/1.15 8 (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].
% 0.83/1.15 9 (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].
% 0.83/1.15 10 (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].
% 0.83/1.15 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 12 (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].
% 0.83/1.15 13 (all A all B all C all D all O (cong(O,A,O,B) & cong(O,A,O,C) & cong(O,A,O,D) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 14 (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].
% 0.83/1.15 15 (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].
% 0.83/1.15 16 (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].
% 0.83/1.15 17 (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].
% 0.83/1.15 18 (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].
% 0.83/1.15 19 (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].
% 0.83/1.15 20 (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].
% 0.83/1.15 21 (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].
% 0.83/1.15 22 (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].
% 0.83/1.15 23 (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].
% 0.83/1.15 24 (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].
% 0.83/1.15 25 (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].
% 0.83/1.15 26 (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].
% 0.83/1.15 27 (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].
% 0.83/1.15 28 (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].
% 0.83/1.15 29 (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].
% 0.83/1.15 30 (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(A,B,C,D,P,Q,U,V) & eqratio(P,Q,U,V,E,F,G,H) -> eqratio(A,B,C,D,E,F,G,H))) # label(ruleD30) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 31 (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].
% 0.83/1.15 32 (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].
% 0.83/1.15 33 (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].
% 0.83/1.15 34 (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].
% 0.83/1.15 35 (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].
% 0.83/1.15 36 (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].
% 0.83/1.15 37 (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].
% 0.83/1.15 38 (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].
% 0.83/1.15 39 (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].
% 0.83/1.15 40 (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].
% 0.83/1.15 41 (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].
% 0.83/1.15 42 (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].
% 0.83/1.15 43 (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].
% 0.83/1.15 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].
% 0.83/1.15 45 (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].
% 0.83/1.15 46 (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].
% 0.83/1.15 47 (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].
% 0.83/1.15 48 (all A all B all O (eqangle(O,A,A,B,A,B,O,B) & -coll(O,A,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 49 (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].
% 0.83/1.15 50 (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].
% 0.83/1.15 51 (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].
% 0.83/1.15 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 53 (all A all B all C all M (perp(A,B,B,C) & midp(M,A,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 54 (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].
% 0.83/1.15 55 (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].
% 0.83/1.15 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 57 (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].
% 0.83/1.15 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 59 (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].
% 0.83/1.15 60 (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].
% 0.83/1.15 61 (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].
% 0.83/1.15 62 (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].
% 0.83/1.15 63 (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].
% 0.83/1.15 64 (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].
% 0.83/1.15 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 66 (all A all B all C all D all O (para(A,B,C,D) & coll(O,A,C) & coll(O,B,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 68 (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].
% 0.83/1.15 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 71 (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].
% 0.83/1.15 72 (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].
% 0.83/1.15 73 (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].
% 0.83/1.15 74 (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) & para(P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 75 (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].
% 0.83/1.15 76 (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].
% 0.83/1.15 77 (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,A,M) & coll(B,O,X))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 78 (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].
% 0.83/1.15 79 (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].
% 0.83/1.15 80 (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].
% 0.83/1.15 81 (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].
% 0.83/1.15 82 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> midp(P,A,D) & para(P,M,B,D) & para(P,N,A,C))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 83 (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(C,A,B) & coll(D,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 84 (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) & para(A,P,B,Q) & coll(P,Q,R) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 85 (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) & para(P,C,A,B) & cong(B,C,B,P))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 86 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,C) -> coll(P,C,B) & perp(A,P,C,B) & coll(Q,C,A) & perp(B,Q,C,A))) # label(ruleX10) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 87 (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].
% 0.83/1.15 88 (all A all B all C all D all M all N exists P exists Q (circle(M,A,B,C) & cong(M,A,M,D) & cong(N,A,N,B) & M != N -> 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].
% 0.83/1.15 89 (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].
% 0.83/1.15 90 (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].
% 0.83/1.15 91 (all A all B all C all E all F exists P (perp(A,C,C,B) & coll(B,E,F) -> coll(P,E,F) & perp(P,A,E,F))) # label(ruleX15) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 92 (all A all B all C all D all M exists P (perp(A,B,A,C) & perp(C,A,C,D) & midp(M,B,D) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 93 (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].
% 0.83/1.15 94 (all A all B all C all D all P all Q exists R (para(A,B,C,D) & coll(P,A,C) & coll(P,B,D) & coll(Q,A,B) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.15 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,NWPNT1,NWPNT2) & circle(B,P,NWPNT3,NWPNT4) & circle(A,P,D,NWPNT5) & circle(A,D,E,NWPNT6) & coll(E,D,A) & circle(A,P,I,NWPNT7) & circle(B,P,I,NWPNT8) & coll(F,D,I) & circle(B,P,F,NWPNT9) & circle(B,F,G,NWPNT01) & coll(G,F,B) -> perp(G,F,D,E))) # label(exemplo6GDDFULL618068) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.15
% 0.83/1.15 ============================== end of process non-clausal formulas ===
% 0.83/1.15
% 0.83/1.15 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.15
% 0.83/1.15 ============================== PREDICATE ELIMINATION =================
% 0.83/1.15 96 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(49)].
% 0.83/1.15 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.83/1.15 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(96,a,97,c)].
% 0.83/1.15 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(50)].
% 0.83/1.15 Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(E,A,A,B) | -cong(E,A,E,C) | -cong(E,A,E,D). [resolve(98,a,97,c)].
% 0.83/1.15 99 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(51)].
% 0.83/1.15 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(99,a,97,c)].
% 0.83/1.15 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 0.83/1.15 Derived: -coll(A,B,C) | -eqangle(D,B,D,C,E,B,E,A) | midp(A,B,C) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(100,a,97,c)].
% 0.83/1.15 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.83/1.15 Derived: -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 0.83/1.15 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.83/1.15 Derived: perp(f12(A,B,C,D),A,A,D) | -cong(D,A,D,B) | -cong(D,A,D,C). [resolve(102,a,97,c)].
% 0.83/1.15 103 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f13(B,C,D,E,A,F),B,D) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.15 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f13(B,E,F,C,A,D),B,F) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(103,a,97,c)].
% 0.83/1.15 104 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f13(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.15 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f13(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(104,a,97,c)].
% 0.83/1.15 105 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f14(B,C,D,E,A,F),C,E) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.15 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f14(B,E,F,C,A,D),E,C) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(105,a,97,c)].
% 0.83/1.15 106 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f14(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.16 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f14(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(106,a,97,c)].
% 0.83/1.16 107 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f15(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(89)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -perp(f15(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B). [resolve(107,d,96,a)].
% 0.83/1.16 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(f15(A,B,C,D,E),A,A,F). [resolve(107,d,98,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -midp(F,B,C) | eqangle(A,B,A,C,f15(A,B,C,D,E),B,f15(A,B,C,D,E),F). [resolve(107,d,99,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -coll(F,B,C) | -eqangle(A,B,A,C,f15(A,B,C,D,E),B,f15(A,B,C,D,E),F) | midp(F,B,C). [resolve(107,d,100,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -coll(f15(A,B,C,D,E),A,C) | perp(A,B,B,C). [resolve(107,d,101,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | perp(f12(A,B,C,f15(A,B,C,D,E)),A,A,f15(A,B,C,D,E)). [resolve(107,d,102,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | coll(f13(A,B,C,F,f15(A,B,C,D,E),V6),A,C). [resolve(107,d,103,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | cong(f13(A,B,C,F,f15(A,B,C,D,E),V6),V6,V6,A). [resolve(107,d,104,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | coll(f14(A,B,C,F,f15(A,B,C,D,E),V6),B,F). [resolve(107,d,105,a)].
% 0.83/1.16 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | cong(f14(A,B,C,F,f15(A,B,C,D,E),V6),V6,V6,A). [resolve(107,d,106,a)].
% 0.83/1.16 108 -perp(A,B,B,C) | -cyclic(A,C,B,D) | circle(f16(A,C,B,D),A,C,B) # label(ruleX14) # label(axiom). [clausify(90)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -perp(f16(A,C,B,D),A,A,E) | eqangle(A,E,A,C,B,A,B,C). [resolve(108,c,96,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -eqangle(A,E,A,C,B,A,B,C) | perp(f16(A,C,B,D),A,A,E). [resolve(108,c,98,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -midp(E,C,B) | eqangle(A,C,A,B,f16(A,C,B,D),C,f16(A,C,B,D),E). [resolve(108,c,99,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -coll(E,C,B) | -eqangle(A,C,A,B,f16(A,C,B,D),C,f16(A,C,B,D),E) | midp(E,C,B). [resolve(108,c,100,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -coll(f16(A,C,B,D),A,B) | perp(A,C,C,B). [resolve(108,c,101,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | perp(f12(A,C,B,f16(A,C,B,D)),A,A,f16(A,C,B,D)). [resolve(108,c,102,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | coll(f13(A,C,B,E,f16(A,C,B,D),F),A,B). [resolve(108,c,103,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | cong(f13(A,C,B,E,f16(A,C,B,D),F),F,F,A). [resolve(108,c,104,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | coll(f14(A,C,B,E,f16(A,C,B,D),F),C,E). [resolve(108,c,105,a)].
% 0.83/1.16 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | cong(f14(A,C,B,E,f16(A,C,B,D),F),F,F,A). [resolve(108,c,106,a)].
% 0.83/1.16 109 circle(c1,c3,c9,c10) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c9,c10,c3,c10,c9). [resolve(109,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c3,A,c3,c9,c10,c3,c10,c9) | perp(c1,c3,c3,A). [resolve(109,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c9,c10) | eqangle(c3,c9,c3,c10,c1,c9,c1,A). [resolve(109,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c9,c10) | -eqangle(c3,c9,c3,c10,c1,c9,c1,A) | midp(A,c9,c10). [resolve(109,a,100,a)].
% 0.83/1.16 Derived: -coll(c1,c3,c10) | perp(c3,c9,c9,c10). [resolve(109,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c3,c9,c10,c1),c3,c3,c1). [resolve(109,a,102,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | coll(f13(c3,c9,c10,A,c1,B),c3,c10). [resolve(109,a,103,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | cong(f13(c3,c9,c10,A,c1,B),B,B,c3). [resolve(109,a,104,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | coll(f14(c3,c9,c10,A,c1,B),c9,A). [resolve(109,a,105,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c9) | B = c1 | cong(f14(c3,c9,c10,A,c1,B),B,B,c3). [resolve(109,a,106,a)].
% 0.83/1.16 110 circle(c2,c3,c11,c12) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c11,c12,c3,c12,c11). [resolve(110,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c3,A,c3,c11,c12,c3,c12,c11) | perp(c2,c3,c3,A). [resolve(110,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c11,c12) | eqangle(c3,c11,c3,c12,c2,c11,c2,A). [resolve(110,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c11,c12) | -eqangle(c3,c11,c3,c12,c2,c11,c2,A) | midp(A,c11,c12). [resolve(110,a,100,a)].
% 0.83/1.16 Derived: -coll(c2,c3,c12) | perp(c3,c11,c11,c12). [resolve(110,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c3,c11,c12,c2),c3,c3,c2). [resolve(110,a,102,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | coll(f13(c3,c11,c12,A,c2,B),c3,c12). [resolve(110,a,103,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | cong(f13(c3,c11,c12,A,c2,B),B,B,c3). [resolve(110,a,104,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | coll(f14(c3,c11,c12,A,c2,B),c11,A). [resolve(110,a,105,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c11) | B = c2 | cong(f14(c3,c11,c12,A,c2,B),B,B,c3). [resolve(110,a,106,a)].
% 0.83/1.16 111 circle(c1,c3,c4,c13) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c4,c13,c3,c13,c4). [resolve(111,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c3,A,c3,c4,c13,c3,c13,c4) | perp(c1,c3,c3,A). [resolve(111,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c4,c13) | eqangle(c3,c4,c3,c13,c1,c4,c1,A). [resolve(111,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c4,c13) | -eqangle(c3,c4,c3,c13,c1,c4,c1,A) | midp(A,c4,c13). [resolve(111,a,100,a)].
% 0.83/1.16 Derived: -coll(c1,c3,c13) | perp(c3,c4,c4,c13). [resolve(111,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c3,c4,c13,c1),c3,c3,c1). [resolve(111,a,102,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | coll(f13(c3,c4,c13,A,c1,B),c3,c13). [resolve(111,a,103,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | cong(f13(c3,c4,c13,A,c1,B),B,B,c3). [resolve(111,a,104,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | coll(f14(c3,c4,c13,A,c1,B),c4,A). [resolve(111,a,105,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | cong(f14(c3,c4,c13,A,c1,B),B,B,c3). [resolve(111,a,106,a)].
% 0.83/1.16 112 circle(c1,c4,c5,c14) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c1,c4,c4,A) | eqangle(c4,A,c4,c5,c14,c4,c14,c5). [resolve(112,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c4,A,c4,c5,c14,c4,c14,c5) | perp(c1,c4,c4,A). [resolve(112,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c5,c14) | eqangle(c4,c5,c4,c14,c1,c5,c1,A). [resolve(112,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c5,c14) | -eqangle(c4,c5,c4,c14,c1,c5,c1,A) | midp(A,c5,c14). [resolve(112,a,100,a)].
% 0.83/1.16 Derived: -coll(c1,c4,c14) | perp(c4,c5,c5,c14). [resolve(112,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c4,c5,c14,c1),c4,c4,c1). [resolve(112,a,102,a)].
% 0.83/1.16 Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | coll(f13(c4,c5,c14,A,c1,B),c4,c14). [resolve(112,a,103,a)].
% 0.83/1.16 Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | cong(f13(c4,c5,c14,A,c1,B),B,B,c4). [resolve(112,a,104,a)].
% 0.83/1.16 Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | coll(f14(c4,c5,c14,A,c1,B),c5,A). [resolve(112,a,105,a)].
% 0.83/1.16 Derived: -cong(c1,c4,c1,A) | -cong(B,c4,B,c5) | B = c1 | cong(f14(c4,c5,c14,A,c1,B),B,B,c4). [resolve(112,a,106,a)].
% 0.83/1.16 113 circle(c1,c3,c6,c15) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c6,c15,c3,c15,c6). [resolve(113,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c3,A,c3,c6,c15,c3,c15,c6) | perp(c1,c3,c3,A). [resolve(113,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c6,c15) | eqangle(c3,c6,c3,c15,c1,c6,c1,A). [resolve(113,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c6,c15) | -eqangle(c3,c6,c3,c15,c1,c6,c1,A) | midp(A,c6,c15). [resolve(113,a,100,a)].
% 0.83/1.16 Derived: -coll(c1,c3,c15) | perp(c3,c6,c6,c15). [resolve(113,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c3,c6,c15,c1),c3,c3,c1). [resolve(113,a,102,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | coll(f13(c3,c6,c15,A,c1,B),c3,c15). [resolve(113,a,103,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | cong(f13(c3,c6,c15,A,c1,B),B,B,c3). [resolve(113,a,104,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | coll(f14(c3,c6,c15,A,c1,B),c6,A). [resolve(113,a,105,a)].
% 0.83/1.16 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c6) | B = c1 | cong(f14(c3,c6,c15,A,c1,B),B,B,c3). [resolve(113,a,106,a)].
% 0.83/1.16 114 circle(c2,c3,c6,c16) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c6,c16,c3,c16,c6). [resolve(114,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c3,A,c3,c6,c16,c3,c16,c6) | perp(c2,c3,c3,A). [resolve(114,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c6,c16) | eqangle(c3,c6,c3,c16,c2,c6,c2,A). [resolve(114,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c6,c16) | -eqangle(c3,c6,c3,c16,c2,c6,c2,A) | midp(A,c6,c16). [resolve(114,a,100,a)].
% 0.83/1.16 Derived: -coll(c2,c3,c16) | perp(c3,c6,c6,c16). [resolve(114,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c3,c6,c16,c2),c3,c3,c2). [resolve(114,a,102,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | coll(f13(c3,c6,c16,A,c2,B),c3,c16). [resolve(114,a,103,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | cong(f13(c3,c6,c16,A,c2,B),B,B,c3). [resolve(114,a,104,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | coll(f14(c3,c6,c16,A,c2,B),c6,A). [resolve(114,a,105,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | cong(f14(c3,c6,c16,A,c2,B),B,B,c3). [resolve(114,a,106,a)].
% 0.83/1.16 115 circle(c2,c3,c7,c17) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c7,c17,c3,c17,c7). [resolve(115,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c3,A,c3,c7,c17,c3,c17,c7) | perp(c2,c3,c3,A). [resolve(115,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c7,c17) | eqangle(c3,c7,c3,c17,c2,c7,c2,A). [resolve(115,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c7,c17) | -eqangle(c3,c7,c3,c17,c2,c7,c2,A) | midp(A,c7,c17). [resolve(115,a,100,a)].
% 0.83/1.16 Derived: -coll(c2,c3,c17) | perp(c3,c7,c7,c17). [resolve(115,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c3,c7,c17,c2),c3,c3,c2). [resolve(115,a,102,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | coll(f13(c3,c7,c17,A,c2,B),c3,c17). [resolve(115,a,103,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | cong(f13(c3,c7,c17,A,c2,B),B,B,c3). [resolve(115,a,104,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | coll(f14(c3,c7,c17,A,c2,B),c7,A). [resolve(115,a,105,a)].
% 0.83/1.16 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c7) | B = c2 | cong(f14(c3,c7,c17,A,c2,B),B,B,c3). [resolve(115,a,106,a)].
% 0.83/1.16 116 circle(c2,c7,c8,c18) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 0.83/1.16 Derived: -perp(c2,c7,c7,A) | eqangle(c7,A,c7,c8,c18,c7,c18,c8). [resolve(116,a,96,a)].
% 0.83/1.16 Derived: -eqangle(c7,A,c7,c8,c18,c7,c18,c8) | perp(c2,c7,c7,A). [resolve(116,a,98,a)].
% 0.83/1.16 Derived: -midp(A,c8,c18) | eqangle(c7,c8,c7,c18,c2,c8,c2,A). [resolve(116,a,99,a)].
% 0.83/1.16 Derived: -coll(A,c8,c18) | -eqangle(c7,c8,c7,c18,c2,c8,c2,A) | midp(A,c8,c18). [resolve(116,a,100,a)].
% 0.83/1.16 Derived: -coll(c2,c7,c18) | perp(c7,c8,c8,c18). [resolve(116,a,101,a)].
% 0.83/1.16 Derived: perp(f12(c7,c8,c18,c2),c7,c7,c2). [resolve(116,a,102,a)].
% 0.83/1.16 Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | coll(f13(c7,c8,c18,A,c2,B),c7,c18). [resolve(116,a,103,a)].
% 0.83/1.16 Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | cong(f13(c7,c8,c18,A,c2,B),B,B,c7). [resolve(116,a,104,a)].
% 0.83/1.16 Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | coll(f14(c7,c8,c18,A,c2,B),c8,A). [resolve(116,a,105,a)].
% 0.83/1.16 Derived: -cong(c2,c7,c2,A) | -cong(B,c7,B,c8) | B = c2 | cong(f14(c7,c8,c18,A,c2,B),B,B,c7). [resolve(116,a,106,a)].
% 11.17/11.48
% 11.17/11.48 ============================== end predicate elimination =============
% 11.17/11.48
% 11.17/11.48 Auto_denials: (non-Horn, no changes).
% 11.17/11.48
% 11.17/11.48 Term ordering decisions:
% 11.17/11.48 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. f19=1. f1=1. f2=1. f3=1. f4=1. f10=1. f11=1. f12=1. f16=1. f5=1. f9=1. f15=1. f17=1. f18=1. f6=1. f13=1. f14=1. f20=1. f7=1. f8=1.
% 11.17/11.48
% 11.17/11.48 ============================== end of process initial clauses ========
% 11.17/11.48
% 11.17/11.48 ============================== CLAUSES FOR SEARCH ====================
% 11.17/11.48
% 11.17/11.48 ============================== end of clauses for search =============
% 11.17/11.48
% 11.17/11.48 ============================== SEARCH ================================
% 11.17/11.48
% 11.17/11.48 % Starting search at 0.06 seconds.
% 11.17/11.48
% 11.17/11.48 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.16 sec).
% 11.17/11.48
% 11.17/11.48 Low Water (keep): wt=34.000, iters=3353
% 11.17/11.48
% 11.17/11.48 Low Water (keep): wt=26.000, iters=3337
% 11.17/11.48
% 11.17/11.48 Low Water (keep): wt=23.000, iters=3396
% 11.17/11.48
% 11.17/11.48 Low Water (keep): wt=21.000, iters=3342
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=18.000, iters=3336
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=17.000, iters=3334
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=16.000, iters=3333
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=15.000, iters=3340
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=14.000, iters=3333
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=13.000, iters=3341
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8199, wt=57.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8196, wt=49.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8296, wt=48.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8291, wt=46.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=7770, wt=45.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8293, wt=44.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8292, wt=42.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8224, wt=40.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8198, wt=39.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8298, wt=37.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8222, wt=36.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=4095, wt=35.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8220, wt=34.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=6786, wt=32.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8201, wt=31.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=8225, wt=29.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=15742, wt=10.000
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=15744, wt=5.000
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=12.000, iters=3346
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=11.000, iters=3336
% 11.23/11.48
% 11.23/11.48 Low Water (keep): wt=10.000, iters=3451
% 11.23/11.48
% 11.23/11.48 Low Water (displace): id=27807, wt=4.000
% 11.23/11.48
% 11.23/11.48 ============================== PROOF =================================
% 11.23/11.48 % SZS status Theorem
% 11.23/11.48 % SZS output start Refutation
% 11.23/11.48
% 11.23/11.48 % Proof 1 at 10.25 (+ 0.11) seconds.
% 11.23/11.48 % Length of proof is 345.
% 11.23/11.48 % Level of proof is 46.
% 11.23/11.48 % Maximum clause weight is 29.000.
% 11.23/11.48 % Given clauses 14551.
% 11.23/11.48
% 11.23/11.48 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 3 (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].
% 11.23/11.48 4 (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].
% 11.23/11.48 5 (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].
% 11.23/11.48 7 (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].
% 11.23/11.48 8 (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].
% 11.23/11.48 9 (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].
% 11.23/11.48 10 (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].
% 11.23/11.48 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 12 (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].
% 11.23/11.48 14 (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].
% 11.23/11.48 15 (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].
% 11.23/11.48 16 (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].
% 11.23/11.48 17 (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].
% 11.23/11.48 19 (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].
% 11.23/11.48 20 (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].
% 11.23/11.48 21 (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].
% 11.23/11.48 23 (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].
% 11.23/11.48 24 (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].
% 11.23/11.48 39 (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].
% 11.23/11.48 40 (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].
% 11.23/11.48 43 (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].
% 11.23/11.48 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].
% 11.23/11.48 46 (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].
% 11.23/11.48 49 (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].
% 11.23/11.48 50 (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].
% 11.23/11.48 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 53 (all A all B all C all M (perp(A,B,B,C) & midp(M,A,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 54 (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].
% 11.23/11.48 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 57 (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].
% 11.23/11.48 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 68 (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].
% 11.23/11.48 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 11.23/11.48 75 (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].
% 11.23/11.48 87 (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].
% 11.23/11.48 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,NWPNT1,NWPNT2) & circle(B,P,NWPNT3,NWPNT4) & circle(A,P,D,NWPNT5) & circle(A,D,E,NWPNT6) & coll(E,D,A) & circle(A,P,I,NWPNT7) & circle(B,P,I,NWPNT8) & coll(F,D,I) & circle(B,P,F,NWPNT9) & circle(B,F,G,NWPNT01) & coll(G,F,B) -> perp(G,F,D,E))) # label(exemplo6GDDFULL618068) # label(negated_conjecture) # label(non_clause). [assumption].
% 11.23/11.48 96 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(49)].
% 11.23/11.48 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 11.23/11.48 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(50)].
% 11.23/11.48 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 11.23/11.48 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 11.23/11.48 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 11.23/11.48 109 circle(c1,c3,c9,c10) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 112 circle(c1,c4,c5,c14) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 116 circle(c2,c7,c8,c18) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 117 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 11.23/11.48 118 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 11.23/11.48 119 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 11.23/11.48 120 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 11.23/11.48 121 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 11.23/11.48 123 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 11.23/11.48 124 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 11.23/11.48 125 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 11.23/11.48 126 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 11.23/11.48 127 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 11.23/11.48 129 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 11.23/11.48 130 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 11.23/11.48 131 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 11.23/11.48 132 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 11.23/11.48 134 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 11.23/11.48 135 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 11.23/11.48 136 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 11.23/11.48 138 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 11.23/11.48 139 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 11.23/11.48 154 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 11.23/11.48 155 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 11.23/11.48 158 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 11.23/11.48 159 -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)].
% 11.23/11.48 161 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 11.23/11.48 164 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 11.23/11.48 166 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 11.23/11.48 167 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 11.23/11.48 168 -cong(A,B,C,B) | -cong(A,D,C,D) | -cyclic(A,C,B,D) | perp(B,A,A,D) # label(ruleD57) # label(axiom). [clausify(58)].
% 11.23/11.48 175 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 11.23/11.48 177 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 11.23/11.48 178 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 11.23/11.48 179 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 11.23/11.48 184 -eqangle(A,B,C,D,E,F,V6,V7) | -perp(E,F,V6,V7) | perp(A,B,C,D) # label(ruleD74) # label(axiom). [clausify(75)].
% 11.23/11.48 216 perp(c3,c1,c3,c2) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 217 coll(c5,c4,c1) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 218 coll(c7,c4,c6) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 219 coll(c8,c7,c2) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 220 -perp(c8,c7,c4,c5) # label(exemplo6GDDFULL618068) # label(negated_conjecture). [clausify(95)].
% 11.23/11.48 221 -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(96,a,97,c)].
% 11.23/11.48 224 -coll(A,B,C) | -eqangle(D,B,D,C,E,B,E,A) | midp(A,B,C) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(100,a,97,c)].
% 11.23/11.48 259 -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c9,c10,c3,c10,c9). [resolve(109,a,96,a)].
% 11.23/11.48 263 -coll(c1,c3,c10) | perp(c3,c9,c9,c10). [resolve(109,a,101,a)].
% 11.23/11.48 306 perp(f12(c4,c5,c14,c1),c4,c4,c1). [resolve(112,a,102,a)].
% 11.23/11.48 358 -eqangle(c7,A,c7,c8,c18,c7,c18,c8) | perp(c2,c7,c7,A). [resolve(116,a,98,a)].
% 11.23/11.48 362 perp(f12(c7,c8,c18,c2),c7,c7,c2). [resolve(116,a,102,a)].
% 11.23/11.48 371 -coll(A,B,C) | coll(C,C,A). [factor(119,a,b)].
% 11.23/11.48 376 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(132,a,b)].
% 11.23/11.48 379 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(159,b,c)].
% 11.23/11.48 381 -cong(A,B,C,B) | perp(A,C,B,B). [factor(167,a,b)].
% 11.23/11.48 382 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(168,a,b)].
% 11.23/11.48 385 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(175,b,c)].
% 11.23/11.48 409 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(224,d,e)].
% 11.23/11.48 442 -midp(c1,c3,c2) | cong(c3,c3,c3,c2). [resolve(216,a,166,b)].
% 11.23/11.48 443 -perp(A,B,c3,c1) | para(A,B,c3,c2). [resolve(216,a,125,b)].
% 11.23/11.48 444 -perp(c3,c2,A,B) | para(c3,c1,A,B). [resolve(216,a,125,a)].
% 11.23/11.48 445 perp(c3,c2,c3,c1). [resolve(216,a,124,a)].
% 11.23/11.48 446 perp(c3,c1,c2,c3). [resolve(216,a,123,a)].
% 11.23/11.48 447 -coll(c5,c4,A) | coll(A,c1,c5). [resolve(217,a,119,b)].
% 11.23/11.48 448 -coll(c5,c4,A) | coll(c1,A,c5). [resolve(217,a,119,a)].
% 11.23/11.48 449 coll(c4,c5,c1). [resolve(217,a,118,a)].
% 11.23/11.48 450 coll(c5,c1,c4). [resolve(217,a,117,a)].
% 11.23/11.48 454 coll(c7,c6,c4). [resolve(218,a,117,a)].
% 11.23/11.48 456 -coll(c8,c7,A) | coll(c2,A,c8). [resolve(219,a,119,a)].
% 11.23/11.48 458 coll(c8,c2,c7). [resolve(219,a,117,a)].
% 11.23/11.48 554 -perp(A,B,f12(c4,c5,c14,c1),c4) | para(A,B,c4,c1). [resolve(306,a,125,b)].
% 11.23/11.48 556 perp(c4,c1,f12(c4,c5,c14,c1),c4). [resolve(306,a,124,a)].
% 11.23/11.48 654 -perp(A,B,f12(c7,c8,c18,c2),c7) | para(A,B,c7,c2). [resolve(362,a,125,b)].
% 11.23/11.48 656 perp(c7,c2,f12(c7,c8,c18,c2),c7). [resolve(362,a,124,a)].
% 11.23/11.48 659 coll(c2,c2,c8). [resolve(371,a,219,a)].
% 11.23/11.48 662 coll(c1,c1,c4). [resolve(449,a,371,a)].
% 11.23/11.48 666 coll(c4,c4,c5). [resolve(450,a,371,a)].
% 11.23/11.48 674 coll(c4,c4,c7). [resolve(454,a,371,a)].
% 11.23/11.48 682 coll(c7,c7,c8). [resolve(458,a,371,a)].
% 11.23/11.48 684 -coll(c8,c2,A) | coll(c7,A,c8). [resolve(458,a,119,a)].
% 11.23/11.48 687 -coll(c2,c2,A) | coll(A,c8,c2). [resolve(659,a,119,b)].
% 11.23/11.48 689 coll(c2,c8,c2). [resolve(659,a,117,a)].
% 11.23/11.48 716 coll(c1,c4,c1). [resolve(662,a,117,a)].
% 11.23/11.48 721 -coll(c4,c4,A) | coll(A,c5,c4). [resolve(666,a,119,b)].
% 11.23/11.48 767 -coll(c7,c7,A) | coll(A,c8,c7). [resolve(682,a,119,b)].
% 11.23/11.48 780 coll(c2,c2,c2). [resolve(689,a,371,a)].
% 11.23/11.48 803 coll(c4,c1,c1). [resolve(716,a,118,a)].
% 11.23/11.48 850 para(c3,c1,c3,c1). [resolve(445,a,444,a)].
% 11.23/11.48 851 para(c3,c2,c3,c2). [resolve(445,a,443,a)].
% 11.23/11.48 861 -perp(A,B,c3,c2) | para(A,B,c3,c1). [resolve(445,a,125,b)].
% 11.23/11.48 863 perp(c3,c2,c1,c3). [resolve(445,a,123,a)].
% 11.23/11.48 884 -perp(c2,c3,A,B) | para(c3,c1,A,B). [resolve(446,a,125,a)].
% 11.23/11.48 885 perp(c2,c3,c3,c1). [resolve(446,a,124,a)].
% 11.23/11.48 947 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(850,a,385,b)].
% 11.23/11.48 954 coll(c3,c1,c1). [resolve(850,a,177,a)].
% 11.23/11.48 956 -midp(c3,A,c3) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(850,a,161,b)].
% 11.23/11.48 957 eqangle(c3,c1,A,B,c3,c1,A,B). [resolve(850,a,155,a)].
% 11.23/11.48 958 para(c3,c1,c1,c3). [resolve(850,a,120,a)].
% 11.23/11.48 959 coll(c1,c1,c3). [resolve(954,a,371,a)].
% 11.23/11.48 965 coll(c3,c3,c1). [resolve(959,a,371,a)].
% 11.23/11.48 966 -coll(c1,c1,A) | coll(A,c3,c1). [resolve(959,a,119,b)].
% 11.23/11.48 972 coll(c3,c1,c3). [resolve(965,a,117,a)].
% 11.23/11.48 973 coll(c3,c3,c3). [resolve(972,a,371,a)].
% 11.23/11.48 976 coll(c1,c3,c3). [resolve(972,a,118,a)].
% 11.23/11.48 982 -midp(A,c3,c3) | midp(A,c2,c2). [resolve(851,a,385,b)].
% 11.23/11.48 989 coll(c3,c2,c2). [resolve(851,a,177,a)].
% 11.23/11.48 992 eqangle(c3,c2,A,B,c3,c2,A,B). [resolve(851,a,155,a)].
% 11.23/11.48 994 coll(c2,c2,c3). [resolve(989,a,371,a)].
% 11.23/11.48 1000 coll(c3,c3,c2). [resolve(994,a,371,a)].
% 11.23/11.48 1019 coll(c3,c2,c3). [resolve(1000,a,117,a)].
% 11.23/11.48 1038 perp(c1,c3,c3,c2). [resolve(863,a,124,a)].
% 11.23/11.48 1051 para(c2,c3,c3,c2). [resolve(885,a,443,a)].
% 11.23/11.48 1074 -midp(c3,c3,c1) | cong(c2,c3,c2,c1). [resolve(885,a,166,b)].
% 11.23/11.48 1075 -midp(A,c2,c1) | cong(c2,A,c3,A). [resolve(885,a,164,a)].
% 11.23/11.48 1090 -midp(c3,A,c1) | -coll(c1,A,c3) | midp(c1,A,c3). [resolve(958,a,161,b)].
% 11.23/11.48 1094 para(c1,c3,c3,c1). [resolve(958,a,121,a)].
% 11.23/11.48 1113 eqangle(c3,c2,c3,c9,c10,c3,c10,c9). [resolve(1038,a,259,a)].
% 11.23/11.48 1134 -perp(A,B,c1,c3) | para(A,B,c3,c2). [resolve(1038,a,125,b)].
% 11.23/11.48 1148 -midp(c2,A,c3) | -coll(c3,A,c2) | midp(c3,A,c2). [resolve(1051,a,161,b)].
% 11.23/11.48 1152 para(c2,c3,c2,c3). [resolve(1051,a,120,a)].
% 11.23/11.48 1177 -midp(c1,A,c3) | -coll(c3,A,c1) | midp(c3,A,c1). [resolve(1094,a,161,b)].
% 11.23/11.48 1181 para(c1,c3,c1,c3). [resolve(1094,a,120,a)].
% 11.23/11.48 1189 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(1152,a,385,b)].
% 11.23/11.48 1197 -midp(c2,A,c2) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(1152,a,161,b)].
% 11.23/11.48 1201 -midp(A,c1,c1) | midp(A,c3,c3). [resolve(1181,a,385,b)].
% 11.23/11.48 1211 coll(c3,c8,c2). [resolve(687,a,994,a)].
% 11.23/11.48 1214 coll(c8,c3,c2). [resolve(1211,a,118,a)].
% 11.23/11.48 1218 coll(c8,c2,c3). [resolve(1214,a,117,a)].
% 11.23/11.48 1223 coll(c7,c3,c8). [resolve(1218,a,684,a)].
% 11.23/11.48 1236 coll(c7,c8,c3). [resolve(1223,a,117,a)].
% 11.23/11.48 1250 coll(c3,c3,c7). [resolve(1236,a,371,a)].
% 11.23/11.48 1438 coll(c7,c5,c4). [resolve(721,a,674,a)].
% 11.23/11.48 1445 coll(c5,c7,c4). [resolve(1438,a,118,a)].
% 11.23/11.48 1472 coll(c5,c4,c7). [resolve(1445,a,117,a)].
% 11.23/11.48 1506 coll(c1,c7,c5). [resolve(1472,a,448,a)].
% 11.23/11.48 1507 coll(c7,c1,c5). [resolve(1472,a,447,a)].
% 11.23/11.48 1546 coll(c1,c5,c7). [resolve(1506,a,117,a)].
% 11.23/11.48 1549 coll(c7,c5,c1). [resolve(1507,a,117,a)].
% 11.23/11.48 1592 coll(c7,c7,c1). [resolve(1546,a,371,a)].
% 11.23/11.48 1596 coll(c1,c1,c7). [resolve(1549,a,371,a)].
% 11.23/11.48 1649 coll(c1,c7,c1). [resolve(1596,a,117,a)].
% 11.23/11.48 1691 coll(c7,c1,c1). [resolve(1649,a,118,a)].
% 11.23/11.48 1906 coll(c1,c8,c7). [resolve(767,a,1592,a)].
% 11.23/11.48 1916 coll(c8,c1,c7). [resolve(1906,a,118,a)].
% 11.23/11.48 1932 coll(c8,c7,c1). [resolve(1916,a,117,a)].
% 11.23/11.48 1966 coll(c2,c1,c8). [resolve(1932,a,456,a)].
% 11.23/11.48 2024 coll(c2,c8,c1). [resolve(1966,a,117,a)].
% 11.23/11.48 2112 coll(c1,c1,c2). [resolve(2024,a,371,a)].
% 11.23/11.48 2286 coll(c1,c2,c1). [resolve(2112,a,117,a)].
% 11.23/11.48 2687 para(c4,c1,c4,c1). [resolve(556,a,554,a)].
% 11.23/11.48 2756 para(c4,c1,c1,c4). [resolve(2687,a,120,a)].
% 11.23/11.48 2772 para(c1,c4,c4,c1). [resolve(2756,a,121,a)].
% 11.23/11.48 2788 para(c1,c4,c1,c4). [resolve(2772,a,120,a)].
% 11.23/11.48 2791 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(2788,a,385,b)].
% 11.23/11.48 2970 coll(c2,c3,c1). [resolve(966,a,2112,a)].
% 11.23/11.48 2978 coll(c3,c2,c1). [resolve(2970,a,118,a)].
% 11.23/11.48 2979 coll(c2,c1,c3). [resolve(2970,a,117,a)].
% 11.23/11.48 3049 coll(c3,c1,c2). [resolve(2978,a,117,a)].
% 11.23/11.48 3111 coll(c1,c2,c3). [resolve(2979,a,118,a)].
% 11.23/11.48 3819 para(c7,c2,c7,c2). [resolve(656,a,654,a)].
% 11.23/11.48 3846 para(c7,c2,c2,c7). [resolve(3819,a,120,a)].
% 11.23/11.48 3860 -perp(c2,c7,A,B) | perp(c7,c2,A,B). [resolve(3846,a,126,a)].
% 11.23/11.48 3862 para(c2,c7,c7,c2). [resolve(3846,a,121,a)].
% 11.23/11.48 3878 para(c2,c7,c2,c7). [resolve(3862,a,120,a)].
% 11.23/11.48 3881 -midp(A,c2,c2) | midp(A,c7,c7). [resolve(3878,a,385,b)].
% 11.23/11.48 4256 -cyclic(c1,c3,c3,c1) | -cyclic(c1,c3,c3,c3) | cong(c1,c3,c1,c3). [resolve(957,a,379,c)].
% 11.23/11.48 4266 -coll(c3,c3,A) | cyclic(c1,A,c3,c3). [resolve(957,a,158,a)].
% 11.23/11.48 4267 eqangle(c3,c1,c3,c1,A,B,A,B). [resolve(957,a,136,a)].
% 11.23/11.48 4268 eqangle(A,B,c3,c1,A,B,c3,c1). [resolve(957,a,134,a)].
% 11.23/11.48 4320 midp(c2,c2,c2) | -cong(c3,c3,c3,c2). [resolve(992,a,409,b),unit_del(a,780)].
% 11.23/11.48 5312 eqangle(c3,c2,c10,c3,c3,c9,c10,c9). [resolve(1113,a,136,a)].
% 11.23/11.48 14057 cyclic(c1,c7,c3,c3). [resolve(4266,a,1250,a)].
% 11.23/11.48 14059 cyclic(c1,c2,c3,c3). [resolve(4266,a,1000,a)].
% 11.23/11.48 14060 cyclic(c1,c3,c3,c3). [resolve(4266,a,973,a)].
% 11.23/11.48 14061 cyclic(c1,c1,c3,c3). [resolve(4266,a,965,a)].
% 11.23/11.48 14066 -cyclic(c1,c3,c3,c1) | cong(c1,c3,c1,c3). [back_unit_del(4256),unit_del(b,14060)].
% 11.23/11.48 14097 cyclic(c7,c1,c3,c3). [resolve(14057,a,131,a)].
% 11.23/11.48 14112 cyclic(c2,c1,c3,c3). [resolve(14059,a,131,a)].
% 11.23/11.48 14120 -cong(c1,c3,c1,c3) | perp(c3,c1,c1,c3). [resolve(14061,a,382,b)].
% 11.23/11.48 14124 cyclic(c1,c3,c1,c3). [resolve(14061,a,130,a)].
% 11.23/11.48 14188 cyclic(c7,c3,c1,c3). [resolve(14097,a,130,a)].
% 11.23/11.48 14220 cyclic(c2,c3,c1,c3). [resolve(14112,a,130,a)].
% 11.23/11.48 14241 cyclic(c1,c3,c3,c1). [resolve(14124,a,129,a)].
% 11.23/11.48 14243 cong(c1,c3,c1,c3). [back_unit_del(14066),unit_del(a,14241)].
% 11.23/11.48 14244 perp(c3,c1,c1,c3). [back_unit_del(14120),unit_del(a,14243)].
% 11.23/11.48 14331 cyclic(c3,c7,c1,c3). [resolve(14188,a,131,a)].
% 11.23/11.48 14375 -cong(c2,c1,c3,c1) | -cong(c2,c3,c3,c3) | perp(c1,c2,c2,c3). [resolve(14220,a,168,c)].
% 11.23/11.48 14438 midp(c1,c3,c3). [resolve(14243,a,178,a),unit_del(a,976)].
% 11.23/11.48 14448 midp(c3,c3,c1). [resolve(14438,a,1177,a),unit_del(a,965)].
% 11.23/11.48 14449 midp(c1,c2,c2). [resolve(14438,a,982,a)].
% 11.23/11.48 14450 midp(c1,c1,c1). [resolve(14438,a,947,a)].
% 11.23/11.48 14471 cong(c2,c3,c2,c1). [back_unit_del(1074),unit_del(a,14448)].
% 11.23/11.48 14520 midp(c1,c7,c7). [resolve(14449,a,3881,a)].
% 11.23/11.48 14540 midp(c1,c4,c4). [resolve(14450,a,2791,a)].
% 11.23/11.48 14605 cong(c1,c7,c1,c7). [resolve(14520,a,179,a)].
% 11.23/11.48 14620 cong(c1,c4,c1,c4). [resolve(14540,a,179,a)].
% 11.23/11.48 14663 para(c3,c1,c3,c2). [resolve(14244,a,1134,a)].
% 11.23/11.48 14765 cyclic(c3,c7,c3,c1). [resolve(14331,a,129,a)].
% 11.23/11.48 15053 midp(c2,c3,c1). [resolve(14471,a,178,a),unit_del(a,2970)].
% 11.23/11.48 15073 midp(c2,c1,c3). [resolve(15053,a,127,a)].
% 11.23/11.48 15074 midp(c3,c1,c2). [resolve(15073,a,1148,a),unit_del(a,3049)].
% 11.23/11.48 15098 midp(c3,c2,c1). [resolve(15074,a,127,a)].
% 11.23/11.48 15101 midp(c1,c2,c3). [resolve(15098,a,1090,a),unit_del(a,3111)].
% 11.23/11.48 15102 cong(c2,c3,c3,c3). [resolve(15098,a,1075,a)].
% 11.23/11.48 15114 -cong(c2,c1,c3,c1) | perp(c1,c2,c2,c3). [back_unit_del(14375),unit_del(b,15102)].
% 11.23/11.48 15132 midp(c1,c3,c2). [resolve(15101,a,127,a)].
% 11.23/11.48 15135 cong(c3,c3,c3,c2). [back_unit_del(442),unit_del(a,15132)].
% 11.23/11.48 15136 midp(c2,c2,c2). [back_unit_del(4320),unit_del(b,15135)].
% 11.23/11.48 15157 midp(c3,c2,c3). [resolve(15136,a,1197,a),unit_del(a,1019)].
% 11.23/11.48 15158 midp(c2,c3,c3). [resolve(15136,a,1189,a)].
% 11.23/11.48 15186 midp(c1,c2,c1). [resolve(15157,a,956,a),unit_del(a,2286)].
% 11.23/11.48 15199 midp(c2,c1,c1). [resolve(15158,a,947,a)].
% 11.23/11.48 15211 cong(c2,c1,c3,c1). [resolve(15186,a,1075,a)].
% 11.23/11.48 15223 perp(c1,c2,c2,c3). [back_unit_del(15114),unit_del(a,15211)].
% 11.23/11.48 15233 midp(c2,c4,c4). [resolve(15199,a,2791,a)].
% 11.23/11.48 15382 cong(c1,c7,c7,c1). [resolve(14605,a,138,a)].
% 11.23/11.48 15406 cong(c1,c4,c4,c1). [resolve(14620,a,138,a)].
% 11.23/11.48 15527 para(c3,c2,c3,c1). [resolve(14663,a,121,a)].
% 11.23/11.48 15679 cyclic(c7,c3,c1,c1). [resolve(14765,a,376,a)].
% 11.23/11.48 16187 perp(c1,c2,c3,c2). [resolve(15223,a,123,a)].
% 11.23/11.48 16321 cong(c7,c1,c1,c7). [resolve(15382,a,139,a)].
% 11.23/11.48 16340 cong(c4,c1,c1,c4). [resolve(15406,a,139,a)].
% 11.23/11.48 16550 -midp(A,c3,c3) | midp(A,c1,c2). [resolve(15527,a,175,c),unit_del(b,14663)].
% 11.23/11.48 16554 -perp(c3,c1,A,B) | perp(c3,c2,A,B). [resolve(15527,a,126,a)].
% 11.23/11.48 16694 cyclic(c7,c1,c3,c1). [resolve(15679,a,130,a)].
% 11.23/11.48 17017 para(c1,c2,c3,c1). [resolve(16187,a,861,a)].
% 11.23/11.48 17069 cong(c7,c1,c7,c1). [resolve(16321,a,138,a)].
% 11.23/11.48 17073 cong(c4,c1,c4,c1). [resolve(16340,a,138,a)].
% 11.23/11.48 17452 cyclic(c7,c1,c1,c3). [resolve(16694,a,129,a)].
% 11.23/11.48 17884 -perp(c3,c1,A,B) | perp(c1,c2,A,B). [resolve(17017,a,126,a)].
% 11.23/11.48 17926 midp(c7,c1,c1). [resolve(17069,a,178,a),unit_del(a,1691)].
% 11.23/11.48 17931 midp(c7,c3,c3). [resolve(17926,a,1201,a)].
% 11.23/11.48 17950 midp(c7,c2,c2). [resolve(17931,a,982,a)].
% 11.23/11.48 17961 midp(c7,c7,c7). [resolve(17950,a,3881,a)].
% 11.23/11.48 17987 midp(c4,c1,c1). [resolve(17073,a,178,a),unit_del(a,803)].
% 11.23/11.48 17995 midp(c4,c3,c3). [resolve(17987,a,1201,a)].
% 11.23/11.48 18026 midp(c4,c2,c2). [resolve(17995,a,982,a)].
% 11.23/11.48 18046 midp(c4,c7,c7). [resolve(18026,a,3881,a)].
% 11.23/11.48 18316 cyclic(c1,c7,c1,c3). [resolve(17452,a,131,a)].
% 11.23/11.48 19145 cyclic(c1,c1,c7,c3). [resolve(18316,a,130,a)].
% 11.23/11.48 19811 perp(c7,c1,c1,c3). [resolve(19145,a,168,c),unit_del(a,14605),unit_del(b,14243)].
% 11.23/11.48 20400 para(c7,c1,c3,c2). [resolve(19811,a,1134,a)].
% 11.23/11.48 20776 eqangle(c7,c1,A,B,c3,c2,A,B). [resolve(20400,a,155,a)].
% 11.23/11.48 27487 eqangle(A,B,A,B,c3,c1,c3,c1). [resolve(4267,a,135,a)].
% 11.23/11.48 27491 para(A,B,A,B). [resolve(4268,a,154,a)].
% 11.23/11.48 27498 -midp(A,B,B) | midp(A,C,C). [resolve(27491,a,385,b)].
% 11.23/11.48 27499 coll(A,B,B). [resolve(27491,a,177,a)].
% 11.23/11.48 27505 coll(A,A,B). [resolve(27499,a,371,a)].
% 11.23/11.48 28104 coll(A,B,C). [resolve(27505,a,119,b),unit_del(a,27505)].
% 11.23/11.48 28115 perp(c3,c9,c9,c10). [back_unit_del(263),unit_del(a,28104)].
% 11.23/11.48 28116 -cong(A,B,A,C) | midp(A,B,C). [back_unit_del(178),unit_del(b,28104)].
% 11.23/11.48 28721 perp(c3,c9,c10,c9). [resolve(28115,a,123,a)].
% 11.23/11.48 29665 perp(c3,c2,c10,c3). [resolve(5312,a,184,a),unit_del(a,28721)].
% 11.23/11.48 29713 para(c3,c1,c10,c3). [resolve(29665,a,444,a)].
% 11.23/11.48 29737 para(c3,c1,c3,c10). [resolve(29713,a,120,a)].
% 11.23/11.48 29778 para(c3,c10,c3,c1). [resolve(29737,a,121,a)].
% 11.23/11.48 29795 -midp(A,c3,c3) | midp(A,c1,c10). [resolve(29778,a,175,c),unit_del(b,29737)].
% 11.23/11.48 29941 midp(c4,c1,c2). [resolve(16550,a,17995,a)].
% 11.23/11.48 29952 midp(c4,c2,c1). [resolve(29941,a,127,a)].
% 11.23/11.48 29964 cong(c2,c4,c3,c4). [resolve(29952,a,1075,a)].
% 11.23/11.48 29994 perp(c2,c3,c4,c4). [resolve(29964,a,381,a)].
% 11.23/11.48 30029 para(c3,c1,c4,c4). [resolve(29994,a,884,a)].
% 11.23/11.48 30086 -perp(c4,c4,A,B) | perp(c3,c1,A,B). [resolve(30029,a,126,a)].
% 11.23/11.48 30848 midp(c4,A,A). [resolve(27498,a,18046,a)].
% 11.23/11.48 30849 midp(c7,A,A). [resolve(27498,a,17961,a)].
% 11.23/11.48 30850 midp(c2,A,A). [resolve(27498,a,15233,a)].
% 11.23/11.48 30864 cong(c4,A,c4,A). [resolve(30848,a,179,a)].
% 11.23/11.48 31008 perp(c4,c4,A,B). [resolve(30864,a,167,b),unit_del(a,30864)].
% 11.23/11.48 31015 perp(c3,c1,A,B). [back_unit_del(30086),unit_del(a,31008)].
% 11.23/11.48 31037 perp(c1,c2,A,B). [back_unit_del(17884),unit_del(a,31015)].
% 11.23/11.48 31040 perp(c3,c2,A,B). [back_unit_del(16554),unit_del(a,31015)].
% 11.23/11.48 31374 -perp(A,B,c4,c4) | para(A,B,C,D). [resolve(31008,a,125,b)].
% 11.23/11.48 31375 perp(A,B,c4,c4). [resolve(31008,a,124,a)].
% 11.23/11.48 31376 para(A,B,C,D). [back_unit_del(31374),unit_del(a,31375)].
% 11.23/11.48 31378 -midp(A,B,C) | midp(A,D,E). [back_unit_del(175),unit_del(b,31376),unit_del(c,31376)].
% 11.23/11.48 31386 perp(A,B,c3,c1). [resolve(31015,a,124,a)].
% 11.23/11.48 31397 -midp(c2,A,B) | cong(c1,A,c1,B). [resolve(31037,a,166,b)].
% 11.23/11.48 32688 midp(c2,c1,c10). [resolve(29795,a,30850,a)].
% 11.23/11.48 32689 midp(c7,c1,c10). [resolve(29795,a,30849,a)].
% 11.23/11.48 32700 midp(c2,c10,c1). [resolve(32688,a,127,a)].
% 11.23/11.48 32703 midp(c7,c10,c1). [resolve(32689,a,127,a)].
% 11.23/11.48 32868 midp(c7,A,B). [resolve(31378,a,32703,a)].
% 11.23/11.48 32869 midp(c2,A,B). [resolve(31378,a,32700,a)].
% 11.23/11.48 32886 cong(c1,A,c1,B). [back_unit_del(31397),unit_del(a,32869)].
% 11.23/11.48 34704 perp(c7,c1,A,B). [resolve(20776,a,184,a),unit_del(a,31040)].
% 11.23/11.48 34712 perp(A,B,c7,c1). [resolve(34704,a,124,a)].
% 11.23/11.48 34717 perp(A,B,c1,c7). [resolve(34712,a,123,a)].
% 11.23/11.48 34720 perp(c1,c7,A,B). [resolve(34717,a,124,a)].
% 11.23/11.48 34724 eqangle(c7,A,c7,B,C,c7,C,B). [resolve(34720,a,221,a),unit_del(b,32886),unit_del(c,32886)].
% 11.23/11.48 34726 perp(c2,c7,c7,A). [back_unit_del(358),unit_del(a,34724)].
% 11.23/11.48 34727 perp(c7,c2,c7,A). [resolve(34726,a,3860,a)].
% 11.23/11.48 34738 perp(c7,c2,A,c7). [resolve(34727,a,123,a)].
% 11.23/11.48 34742 perp(A,c7,c7,c2). [resolve(34738,a,124,a)].
% 11.23/11.48 34752 cong(A,c7,A,c2). [resolve(34742,a,166,b),unit_del(a,32868)].
% 11.23/11.48 35018 perp(A,B,A,B). [resolve(27487,a,184,a),unit_del(a,31386)].
% 11.23/11.48 35023 perp(A,B,B,A). [resolve(35018,a,123,a)].
% 11.23/11.48 35032 -midp(A,B,B) | cong(B,A,C,A). [resolve(35023,a,164,a)].
% 11.23/11.48 35049 midp(A,c7,c2). [resolve(28116,a,34752,a)].
% 11.23/11.48 35234 midp(A,B,C). [resolve(35049,a,31378,a)].
% 11.23/11.48 35248 cong(A,B,C,B). [back_unit_del(35032),unit_del(a,35234)].
% 11.23/11.48 35384 perp(A,B,C,D). [back_unit_del(167),unit_del(a,35248),unit_del(b,35248)].
% 11.23/11.48 35385 $F. [resolve(35384,a,220,a)].
% 11.23/11.48
% 11.23/11.48 % SZS output end Refutation
% 11.23/11.48 ============================== end of proof ==========================
% 11.23/11.48
% 11.23/11.48 ============================== STATISTICS ============================
% 11.23/11.48
% 11.23/11.48 Given=14551. Generated=195177. Kept=35228. proofs=1.
% 11.23/11.48 Usable=12477. Sos=5373. Demods=0. Limbo=136, Disabled=17477. Hints=0.
% 11.23/11.48 Megabytes=19.17.
% 11.23/11.48 User_CPU=10.25, System_CPU=0.11, Wall_clock=10.
% 11.23/11.48
% 11.23/11.48 ============================== end of statistics =====================
% 11.23/11.48
% 11.23/11.48 ============================== end of search =========================
% 11.23/11.48
% 11.23/11.48 THEOREM PROVED
% 11.23/11.48 % SZS status Theorem
% 11.23/11.48
% 11.23/11.48 Exiting with 1 proof.
% 11.23/11.48
% 11.23/11.48 Process 20973 exit (max_proofs) Sat Jun 18 04:37:00 2022
% 11.23/11.48 Prover9 interrupted
%------------------------------------------------------------------------------