TSTP Solution File: GEO570+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO570+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 05:57:00 EDT 2022
% Result : Theorem 21.50s 21.78s
% Output : Refutation 21.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO570+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 09:29:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.76/1.06 ============================== Prover9 ===============================
% 0.76/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.06 Process 22524 was started by sandbox2 on n004.cluster.edu,
% 0.76/1.06 Sat Jun 18 09:29:39 2022
% 0.76/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22370_n004.cluster.edu".
% 0.76/1.06 ============================== end of head ===========================
% 0.76/1.06
% 0.76/1.06 ============================== INPUT =================================
% 0.76/1.06
% 0.76/1.06 % Reading from file /tmp/Prover9_22370_n004.cluster.edu
% 0.76/1.06
% 0.76/1.06 set(prolog_style_variables).
% 0.76/1.06 set(auto2).
% 0.76/1.06 % set(auto2) -> set(auto).
% 0.76/1.06 % set(auto) -> set(auto_inference).
% 0.76/1.06 % set(auto) -> set(auto_setup).
% 0.76/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.06 % set(auto) -> set(auto_limits).
% 0.76/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.06 % set(auto) -> set(auto_denials).
% 0.76/1.06 % set(auto) -> set(auto_process).
% 0.76/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.06 % set(auto2) -> assign(stats, some).
% 0.76/1.06 % set(auto2) -> clear(echo_input).
% 0.76/1.06 % set(auto2) -> set(quiet).
% 0.76/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.06 % set(auto2) -> clear(print_given).
% 0.76/1.06 assign(lrs_ticks,-1).
% 0.76/1.06 assign(sos_limit,10000).
% 0.76/1.06 assign(order,kbo).
% 0.76/1.06 set(lex_order_vars).
% 0.76/1.06 clear(print_given).
% 0.76/1.06
% 0.76/1.06 % formulas(sos). % not echoed (95 formulas)
% 0.76/1.06
% 0.76/1.06 ============================== end of input ==========================
% 0.76/1.06
% 0.76/1.06 % From the command line: assign(max_seconds, 300).
% 0.76/1.06
% 0.76/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.06
% 0.76/1.06 % Formulas that are not ordinary clauses:
% 0.76/1.06 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.06 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.06 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].
% 0.76/1.07 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].
% 0.76/1.07 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.07 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].
% 0.76/1.07 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.07 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 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].
% 0.76/1.07 95 -(all B all C all R all O all S all A all M all N all NWPNT1 (circle(O,B,C,R) & circle(O,B,S,NWPNT1) & coll(A,B,R) & coll(A,C,S) & perp(M,A,R,S) & coll(M,R,S) & perp(N,A,B,C) & coll(N,B,C) -> eqangle(B,A,A,M,N,A,A,C))) # label(exemplo6GDDFULL214032) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.76/1.07
% 0.76/1.07 ============================== end of process non-clausal formulas ===
% 0.76/1.07
% 0.76/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.07
% 0.76/1.07 ============================== PREDICATE ELIMINATION =================
% 0.76/1.07 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)].
% 0.76/1.07 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 100 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.76/1.07 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)].
% 0.76/1.07 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.76/1.07 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)].
% 0.76/1.07 103 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 104 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 105 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 106 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 107 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 108 -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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 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)].
% 0.76/1.07 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 0.76/1.07 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.76/1.07 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.76/1.07 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.76/1.07 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.76/1.07 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.76/1.07 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.76/1.07 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f13(c1,c2,c3,A,c4,B),c1,c3). [resolve(109,a,103,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f13(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,104,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f14(c1,c2,c3,A,c4,B),c2,A). [resolve(109,a,105,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f14(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,106,a)].
% 21.50/21.78 110 circle(c4,c1,c5,c9) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c9,c1,c9,c5). [resolve(110,a,96,a)].
% 21.50/21.78 Derived: -eqangle(c1,A,c1,c5,c9,c1,c9,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 21.50/21.78 Derived: -midp(A,c5,c9) | eqangle(c1,c5,c1,c9,c4,c5,c4,A). [resolve(110,a,99,a)].
% 21.50/21.78 Derived: -coll(A,c5,c9) | -eqangle(c1,c5,c1,c9,c4,c5,c4,A) | midp(A,c5,c9). [resolve(110,a,100,a)].
% 21.50/21.78 Derived: -coll(c4,c1,c9) | perp(c1,c5,c5,c9). [resolve(110,a,101,a)].
% 21.50/21.78 Derived: perp(f12(c1,c5,c9,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c9,A,c4,B),c1,c9). [resolve(110,a,103,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c9,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c9,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 21.50/21.78 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c9,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 21.50/21.78
% 21.50/21.78 ============================== end predicate elimination =============
% 21.50/21.78
% 21.50/21.78 Auto_denials: (non-Horn, no changes).
% 21.50/21.78
% 21.50/21.78 Term ordering decisions:
% 21.50/21.78 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=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.
% 21.50/21.78
% 21.50/21.78 ============================== end of process initial clauses ========
% 21.50/21.78
% 21.50/21.78 ============================== CLAUSES FOR SEARCH ====================
% 21.50/21.78
% 21.50/21.78 ============================== end of clauses for search =============
% 21.50/21.78
% 21.50/21.78 ============================== SEARCH ================================
% 21.50/21.78
% 21.50/21.78 % Starting search at 0.05 seconds.
% 21.50/21.78
% 21.50/21.78 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.15 sec).
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=36.000, iters=3335
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=26.000, iters=3345
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=25.000, iters=3334
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=24.000, iters=3344
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=23.000, iters=3348
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=22.000, iters=3348
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=21.000, iters=3338
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=18.000, iters=3418
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=17.000, iters=3341
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=16.000, iters=3333
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=15.000, iters=3340
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=14.000, iters=3333
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=13.000, iters=3334
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8282, wt=57.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8279, wt=49.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8280, wt=48.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8677, wt=46.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8168, wt=45.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8283, wt=44.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=7676, wt=42.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=7677, wt=41.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8167, wt=40.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8281, wt=39.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=7678, wt=37.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8792, wt=36.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8469, wt=34.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=7680, wt=33.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8776, wt=32.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8284, wt=31.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=8648, wt=28.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=9006, wt=27.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=9037, wt=26.000
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=12.000, iters=3339
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=15975, wt=10.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=16045, wt=9.000
% 21.50/21.78
% 21.50/21.78 Low Water (displace): id=16301, wt=8.000
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=10.000, iters=3335
% 21.50/21.78
% 21.50/21.78 Low Water (keep): wt=9.000, iters=3333
% 21.50/21.78
% 21.50/21.78 ============================== PROOF =================================
% 21.50/21.78 % SZS status Theorem
% 21.50/21.78 % SZS output start Refutation
% 21.50/21.78
% 21.50/21.78 % Proof 1 at 20.52 (+ 0.22) seconds.
% 21.50/21.78 % Length of proof is 516.
% 21.50/21.78 % Level of proof is 45.
% 21.50/21.78 % Maximum clause weight is 29.000.
% 21.50/21.78 % Given clauses 22198.
% 21.50/21.78
% 21.50/21.78 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 21.50/21.78 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 21.50/21.78 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].
% 21.50/21.78 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 21.50/21.78 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].
% 21.50/21.78 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].
% 21.50/21.78 95 -(all B all C all R all O all S all A all M all N all NWPNT1 (circle(O,B,C,R) & circle(O,B,S,NWPNT1) & coll(A,B,R) & coll(A,C,S) & perp(M,A,R,S) & coll(M,R,S) & perp(N,A,B,C) & coll(N,B,C) -> eqangle(B,A,A,M,N,A,A,C))) # label(exemplo6GDDFULL214032) # label(negated_conjecture) # label(non_clause). [assumption].
% 21.50/21.78 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 21.50/21.78 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)].
% 21.50/21.78 100 -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)].
% 21.50/21.78 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 21.50/21.78 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 21.50/21.78 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 21.50/21.78 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 21.50/21.78 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 21.50/21.78 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 21.50/21.78 115 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 21.50/21.78 116 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 21.50/21.78 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 21.50/21.78 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 21.50/21.78 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 21.50/21.78 120 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 21.50/21.78 121 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 21.50/21.78 122 -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | cyclic(B,C,D,E) # label(ruleD13) # label(axiom). [clausify(13)].
% 21.50/21.78 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 21.50/21.78 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 21.50/21.78 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 21.50/21.78 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 21.50/21.78 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 21.50/21.78 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 21.50/21.78 131 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(E,F,V6,V7,V8,V9,V10,V11) | eqangle(A,B,C,D,V8,V9,V10,V11) # label(ruleD22) # label(axiom). [clausify(22)].
% 21.50/21.78 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 21.50/21.78 133 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 21.50/21.78 148 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 21.50/21.78 149 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 21.50/21.78 152 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 21.50/21.78 153 -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)].
% 21.50/21.78 154 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 21.50/21.78 155 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 21.50/21.78 158 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 21.50/21.78 160 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 21.50/21.78 161 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 21.50/21.78 162 -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)].
% 21.50/21.78 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 21.50/21.78 170 -para(A,B,C,D) | -coll(E,A,C) | -coll(E,B,D) | eqratio(E,A,A,C,E,B,B,D) # label(ruleD65) # label(axiom). [clausify(66)].
% 21.50/21.78 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 21.50/21.78 172 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 21.50/21.78 173 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 21.50/21.78 179 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(76)].
% 21.50/21.78 210 coll(c6,c1,c3) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 211 coll(c6,c2,c5) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 212 perp(c7,c6,c3,c5) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 213 coll(c7,c3,c5) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 214 perp(c8,c6,c1,c2) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 215 coll(c8,c1,c2) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 216 -eqangle(c1,c6,c6,c7,c8,c6,c6,c2) # label(exemplo6GDDFULL214032) # label(negated_conjecture). [clausify(95)].
% 21.50/21.78 219 -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)].
% 21.50/21.78 220 -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)].
% 21.50/21.78 221 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 21.50/21.78 259 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 21.50/21.78 260 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 21.50/21.78 283 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 21.50/21.78 285 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(122,a,b)].
% 21.50/21.78 288 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 21.50/21.78 289 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(153,a,b)].
% 21.50/21.78 291 -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(153,b,c)].
% 21.50/21.78 292 -midp(A,B,C) | para(A,A,C,C). [factor(154,a,b)].
% 21.50/21.78 293 -cong(A,B,C,B) | perp(A,C,B,B). [factor(161,a,b)].
% 21.50/21.78 294 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(162,a,b)].
% 21.50/21.78 297 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 21.50/21.78 320 -midp(A,B,B) | eqangle(C,B,C,B,D,B,D,A) | -cong(D,C,D,B). [factor(219,c,d)].
% 21.50/21.78 321 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(220,d,e)].
% 21.50/21.78 322 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(221,c,d)].
% 21.50/21.78 337 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(285,a,b)].
% 21.50/21.78 347 -coll(c6,c1,A) | coll(c3,A,c6). [resolve(210,a,113,a)].
% 21.50/21.78 349 coll(c6,c3,c1). [resolve(210,a,111,a)].
% 21.50/21.78 352 coll(c2,c6,c5). [resolve(211,a,112,a)].
% 21.50/21.78 365 -perp(A,B,c7,c6) | para(A,B,c3,c5). [resolve(212,a,119,b)].
% 21.50/21.78 366 -perp(c3,c5,A,B) | para(c7,c6,A,B). [resolve(212,a,119,a)].
% 21.50/21.78 367 perp(c3,c5,c7,c6). [resolve(212,a,118,a)].
% 21.50/21.78 368 perp(c7,c6,c5,c3). [resolve(212,a,117,a)].
% 21.50/21.78 371 coll(c3,c7,c5). [resolve(213,a,112,a)].
% 21.50/21.78 384 -perp(A,B,c8,c6) | para(A,B,c1,c2). [resolve(214,a,119,b)].
% 21.50/21.78 385 -perp(c1,c2,A,B) | para(c8,c6,A,B). [resolve(214,a,119,a)].
% 21.50/21.78 386 perp(c1,c2,c8,c6). [resolve(214,a,118,a)].
% 21.50/21.78 387 perp(c8,c6,c2,c1). [resolve(214,a,117,a)].
% 21.50/21.78 390 coll(c1,c8,c2). [resolve(215,a,112,a)].
% 21.50/21.78 412 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(260,a,119,b)].
% 21.50/21.78 414 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(260,a,118,a)].
% 21.50/21.78 442 coll(c2,c2,c8). [resolve(283,a,215,a)].
% 21.50/21.78 443 coll(c5,c5,c7). [resolve(283,a,213,a)].
% 21.50/21.78 445 coll(c3,c3,c6). [resolve(283,a,210,a)].
% 21.50/21.78 450 coll(c1,c1,c6). [resolve(349,a,283,a)].
% 21.50/21.78 453 coll(c3,c6,c1). [resolve(349,a,112,a)].
% 21.50/21.78 454 coll(c5,c5,c2). [resolve(352,a,283,a)].
% 21.50/21.78 462 coll(c5,c5,c3). [resolve(371,a,283,a)].
% 21.50/21.78 465 coll(c3,c5,c7). [resolve(371,a,111,a)].
% 21.50/21.78 470 coll(c2,c2,c1). [resolve(390,a,283,a)].
% 21.50/21.78 479 -coll(c2,c2,A) | coll(A,c8,c2). [resolve(442,a,113,b)].
% 21.50/21.78 481 coll(c2,c8,c2). [resolve(442,a,111,a)].
% 21.50/21.78 482 coll(c7,c7,c5). [resolve(443,a,283,a)].
% 21.50/21.78 483 -coll(c5,c5,A) | coll(A,c7,c5). [resolve(443,a,113,b)].
% 21.50/21.78 485 coll(c5,c7,c5). [resolve(443,a,111,a)].
% 21.50/21.78 490 coll(c6,c6,c3). [resolve(445,a,283,a)].
% 21.50/21.78 493 coll(c3,c6,c3). [resolve(445,a,111,a)].
% 21.50/21.78 503 -coll(c1,c1,A) | coll(c6,A,c1). [resolve(450,a,113,a)].
% 21.50/21.78 505 -coll(c3,c6,A) | coll(A,c1,c3). [resolve(453,a,113,b)].
% 21.50/21.78 507 coll(c2,c2,c5). [resolve(454,a,283,a)].
% 21.50/21.78 520 coll(c3,c3,c5). [resolve(462,a,283,a)].
% 21.50/21.78 523 coll(c5,c3,c5). [resolve(462,a,111,a)].
% 21.50/21.78 524 coll(c7,c7,c3). [resolve(465,a,283,a)].
% 21.50/21.78 533 coll(c1,c1,c2). [resolve(470,a,283,a)].
% 21.50/21.78 549 coll(c2,c2,c2). [resolve(481,a,283,a)].
% 21.50/21.78 554 -coll(c7,c7,A) | coll(c5,A,c7). [resolve(482,a,113,a)].
% 21.50/21.78 555 coll(c7,c5,c7). [resolve(482,a,111,a)].
% 21.50/21.78 556 coll(c5,c5,c5). [resolve(485,a,283,a)].
% 21.50/21.78 567 -coll(c6,c6,A) | coll(c3,A,c6). [resolve(490,a,113,a)].
% 21.50/21.78 569 coll(c3,c3,c3). [resolve(493,a,283,a)].
% 21.50/21.78 604 coll(c3,c5,c3). [resolve(520,a,111,a)].
% 21.50/21.78 618 coll(c1,c2,c1). [resolve(533,a,111,a)].
% 21.50/21.78 637 coll(c7,c7,c7). [resolve(555,a,283,a)].
% 21.50/21.78 659 para(c7,c6,c7,c6). [resolve(367,a,366,a)].
% 21.50/21.78 660 para(c3,c5,c3,c5). [resolve(367,a,365,a)].
% 21.50/21.78 673 -perp(c7,c6,A,B) | para(c3,c5,A,B). [resolve(367,a,119,a)].
% 21.50/21.78 674 perp(c3,c5,c6,c7). [resolve(367,a,117,a)].
% 21.50/21.78 696 perp(c5,c3,c7,c6). [resolve(368,a,118,a)].
% 21.50/21.78 719 coll(c2,c1,c1). [resolve(618,a,112,a)].
% 21.50/21.78 767 perp(c1,c2,c6,c8). [resolve(386,a,117,a)].
% 21.50/21.78 781 perp(c2,c1,c8,c6). [resolve(387,a,118,a)].
% 21.50/21.78 784 -midp(A,c7,c7) | midp(A,c6,c6). [resolve(659,a,297,b)].
% 21.50/21.78 791 coll(c7,c6,c6). [resolve(659,a,171,a)].
% 21.50/21.78 793 -midp(c7,A,c7) | -coll(c6,A,c6) | midp(c6,A,c6). [resolve(659,a,155,b)].
% 21.50/21.78 794 eqangle(c7,c6,A,B,c7,c6,A,B). [resolve(659,a,149,a)].
% 21.50/21.78 795 para(c7,c6,c6,c7). [resolve(659,a,114,a)].
% 21.50/21.78 796 coll(c6,c6,c7). [resolve(791,a,283,a)].
% 21.50/21.78 799 coll(c6,c7,c6). [resolve(791,a,112,a)].
% 21.50/21.78 802 coll(c7,c7,c6). [resolve(796,a,283,a)].
% 21.50/21.78 809 coll(c7,c6,c7). [resolve(802,a,111,a)].
% 21.50/21.78 812 coll(c6,c7,c7). [resolve(809,a,112,a)].
% 21.50/21.78 826 eqangle(c3,c5,A,B,c3,c5,A,B). [resolve(660,a,149,a)].
% 21.50/21.78 827 para(c3,c5,c5,c3). [resolve(660,a,114,a)].
% 21.50/21.78 841 perp(c6,c7,c3,c5). [resolve(674,a,118,a)].
% 21.50/21.78 842 para(c5,c3,c3,c5). [resolve(696,a,365,a)].
% 21.50/21.78 869 -perp(c6,c8,A,B) | para(c1,c2,A,B). [resolve(767,a,119,a)].
% 21.50/21.78 870 perp(c6,c8,c1,c2). [resolve(767,a,118,a)].
% 21.50/21.78 883 -perp(c8,c6,A,B) | para(c2,c1,A,B). [resolve(781,a,119,a)].
% 21.50/21.78 900 para(c6,c7,c7,c6). [resolve(795,a,115,a)].
% 21.50/21.78 911 -coll(A,c3,c5) | -coll(A,c5,c3) | eqratio(A,c3,c3,c5,A,c5,c5,c3). [resolve(827,a,170,a)].
% 21.50/21.78 927 -perp(A,B,c6,c7) | para(A,B,c3,c5). [resolve(841,a,119,b)].
% 21.50/21.78 929 perp(c6,c7,c5,c3). [resolve(841,a,117,a)].
% 21.50/21.78 940 -coll(A,c5,c3) | -coll(A,c3,c5) | eqratio(A,c5,c5,c3,A,c3,c3,c5). [resolve(842,a,170,a)].
% 21.50/21.78 945 para(c5,c3,c5,c3). [resolve(842,a,114,a)].
% 21.50/21.78 972 perp(c6,c8,c2,c1). [resolve(870,a,117,a)].
% 21.50/21.78 1001 para(c6,c7,c6,c7). [resolve(900,a,114,a)].
% 21.50/21.78 1013 -perp(A,B,c6,c7) | para(A,B,c5,c3). [resolve(929,a,119,b)].
% 21.50/21.78 1017 -midp(A,c5,c5) | midp(A,c3,c3). [resolve(945,a,297,b)].
% 21.50/21.78 1025 -midp(c5,A,c5) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(945,a,155,b)].
% 21.50/21.78 1026 eqangle(c5,c3,A,B,c5,c3,A,B). [resolve(945,a,149,a)].
% 21.50/21.78 1038 -perp(A,B,c6,c8) | para(A,B,c2,c1). [resolve(972,a,119,b)].
% 21.50/21.78 1051 eqangle(c6,c7,A,B,c6,c7,A,B). [resolve(1001,a,149,a)].
% 21.50/21.78 1052 para(c2,c1,c1,c2). [resolve(384,a,781,a)].
% 21.50/21.78 1053 para(c1,c2,c1,c2). [resolve(384,a,386,a)].
% 21.50/21.78 1070 para(c2,c1,c2,c1). [resolve(1052,a,114,a)].
% 21.50/21.78 1080 -coll(A,c1,c1) | -coll(A,c2,c2) | eqratio(A,c1,c1,c1,A,c2,c2,c2). [resolve(1053,a,170,a)].
% 21.50/21.78 1082 eqangle(c1,c2,A,B,c1,c2,A,B). [resolve(1053,a,149,a)].
% 21.50/21.78 1100 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(1070,a,297,b)].
% 21.50/21.78 1108 -midp(c2,A,c2) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(1070,a,155,b)].
% 21.50/21.78 1110 para(c8,c6,c6,c8). [resolve(385,a,767,a)].
% 21.50/21.78 1111 para(c8,c6,c8,c6). [resolve(385,a,386,a)].
% 21.50/21.78 1127 para(c6,c8,c8,c6). [resolve(1110,a,115,a)].
% 21.50/21.78 1137 coll(c8,c6,c6). [resolve(1111,a,171,a)].
% 21.50/21.78 1141 coll(c6,c6,c8). [resolve(1137,a,283,a)].
% 21.50/21.78 1149 coll(c8,c8,c6). [resolve(1141,a,283,a)].
% 21.50/21.78 1156 coll(c8,c6,c8). [resolve(1149,a,111,a)].
% 21.50/21.78 1177 para(c6,c8,c6,c8). [resolve(1127,a,114,a)].
% 21.50/21.78 1180 -midp(A,c6,c6) | midp(A,c8,c8). [resolve(1177,a,297,b)].
% 21.50/21.78 1188 -midp(c6,A,c6) | -coll(c8,A,c8) | midp(c8,A,c8). [resolve(1177,a,155,b)].
% 21.50/21.78 1190 coll(c5,c8,c2). [resolve(479,a,507,a)].
% 21.50/21.78 1194 coll(c8,c5,c2). [resolve(1190,a,112,a)].
% 21.50/21.78 1202 coll(c8,c2,c5). [resolve(1194,a,111,a)].
% 21.50/21.78 1217 coll(c5,c5,c8). [resolve(1202,a,283,a)].
% 21.50/21.78 1405 para(c1,c4,c1,c4). [resolve(414,a,412,a)].
% 21.50/21.78 1590 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(1405,a,297,b)].
% 21.50/21.78 1597 coll(c1,c4,c4). [resolve(1405,a,171,a)].
% 21.50/21.78 1599 -midp(c1,A,c1) | -coll(c4,A,c4) | midp(c4,A,c4). [resolve(1405,a,155,b)].
% 21.50/21.78 1602 coll(c4,c4,c1). [resolve(1597,a,283,a)].
% 21.50/21.78 1612 coll(c1,c1,c4). [resolve(1602,a,283,a)].
% 21.50/21.78 1684 coll(c8,c7,c5). [resolve(483,a,1217,a)].
% 21.50/21.78 1685 coll(c2,c7,c5). [resolve(483,a,454,a)].
% 21.50/21.78 1694 coll(c8,c5,c7). [resolve(1684,a,111,a)].
% 21.50/21.78 1698 coll(c2,c5,c7). [resolve(1685,a,111,a)].
% 21.50/21.78 1713 coll(c7,c7,c8). [resolve(1694,a,283,a)].
% 21.50/21.78 1720 coll(c7,c7,c2). [resolve(1698,a,283,a)].
% 21.50/21.78 1751 coll(c7,c8,c7). [resolve(1713,a,111,a)].
% 21.50/21.78 1822 coll(c8,c7,c7). [resolve(1751,a,112,a)].
% 21.50/21.78 1986 coll(c6,c4,c1). [resolve(503,a,1612,a)].
% 21.50/21.78 2016 coll(c6,c1,c4). [resolve(1986,a,111,a)].
% 21.50/21.78 2036 coll(c3,c4,c6). [resolve(2016,a,347,a)].
% 21.50/21.78 2057 coll(c3,c6,c4). [resolve(2036,a,111,a)].
% 21.50/21.78 2084 coll(c4,c1,c3). [resolve(2057,a,505,a)].
% 21.50/21.78 2089 perp(c1,c2,c2,c3). [back_unit_del(259),unit_del(a,2084)].
% 21.50/21.78 2167 para(c8,c6,c2,c3). [resolve(2089,a,385,a)].
% 21.50/21.78 2189 -perp(A,B,c1,c2) | para(A,B,c2,c3). [resolve(2089,a,119,b)].
% 21.50/21.78 2191 perp(c2,c3,c1,c2). [resolve(2089,a,118,a)].
% 21.50/21.78 2192 perp(c1,c2,c3,c2). [resolve(2089,a,117,a)].
% 21.50/21.78 2209 para(c2,c3,c8,c6). [resolve(2167,a,115,a)].
% 21.50/21.78 2210 para(c8,c6,c3,c2). [resolve(2167,a,114,a)].
% 21.50/21.78 2237 -perp(c3,c2,A,B) | para(c1,c2,A,B). [resolve(2192,a,119,a)].
% 21.50/21.78 2238 perp(c3,c2,c1,c2). [resolve(2192,a,118,a)].
% 21.50/21.78 2258 -midp(c2,A,c8) | -coll(c3,A,c6) | midp(c3,A,c6). [resolve(2209,a,155,b)].
% 21.50/21.78 2260 -perp(c8,c6,A,B) | perp(c2,c3,A,B). [resolve(2209,a,120,a)].
% 21.50/21.78 2263 para(c2,c3,c6,c8). [resolve(2209,a,114,a)].
% 21.50/21.78 2280 para(c3,c2,c8,c6). [resolve(2210,a,115,a)].
% 21.50/21.78 2298 perp(c3,c2,c2,c1). [resolve(2238,a,117,a)].
% 21.50/21.78 2315 para(c6,c8,c2,c3). [resolve(2263,a,115,a)].
% 21.50/21.78 2329 -perp(c8,c6,A,B) | perp(c3,c2,A,B). [resolve(2280,a,120,a)].
% 21.50/21.78 2332 para(c3,c2,c6,c8). [resolve(2280,a,114,a)].
% 21.50/21.78 2365 -midp(A,c3,c1) | cong(c3,A,c2,A). [resolve(2298,a,158,a)].
% 21.50/21.78 2382 -para(A,B,c6,c8) | para(A,B,c2,c3). [resolve(2315,a,116,b)].
% 21.50/21.78 2384 para(c6,c8,c3,c2). [resolve(2315,a,114,a)].
% 21.50/21.78 2749 -midp(A,c3,c6) | -para(c3,c8,c6,c2) | midp(A,c2,c8). [resolve(2332,a,169,b)].
% 21.50/21.78 2781 -perp(c3,c2,A,B) | perp(c6,c8,A,B). [resolve(2384,a,120,a)].
% 21.50/21.78 2976 -cyclic(c6,c7,c7,c6) | -cyclic(c6,c7,c7,c7) | cong(c6,c7,c6,c7). [resolve(794,a,291,c)].
% 21.50/21.78 2986 -coll(c7,c7,A) | cyclic(c6,A,c7,c7). [resolve(794,a,152,a)].
% 21.50/21.78 2988 eqangle(A,B,c7,c6,A,B,c7,c6). [resolve(794,a,128,a)].
% 21.50/21.78 3058 midp(c5,c5,c5) | -cong(c3,c3,c3,c5). [resolve(826,a,321,b),unit_del(a,556)].
% 21.50/21.78 3059 -cyclic(c5,c3,c3,c5) | -cyclic(c5,c3,c3,c3) | cong(c5,c3,c5,c3). [resolve(826,a,291,c)].
% 21.50/21.78 3069 -coll(c3,c3,A) | cyclic(c5,A,c3,c3). [resolve(826,a,152,a)].
% 21.50/21.78 3266 eqratio(c3,c3,c3,c5,c3,c5,c5,c3). [resolve(911,b,604,a),unit_del(a,520)].
% 21.50/21.78 3373 eqratio(c5,c5,c5,c3,c5,c3,c3,c5). [resolve(940,a,462,a),unit_del(a,523)].
% 21.50/21.78 3990 midp(c3,c3,c3) | -cong(c5,c5,c5,c3). [resolve(1026,a,321,b),unit_del(a,569)].
% 21.50/21.78 3991 -cyclic(c3,c5,c5,c3) | -cyclic(c3,c5,c5,c5) | cong(c3,c5,c3,c5). [resolve(1026,a,291,c)].
% 21.50/21.78 3992 -cyclic(c3,c3,c5,c3) | -cyclic(c3,c3,c5,c5) | cong(c3,c3,c3,c3). [resolve(1026,a,289,c)].
% 21.50/21.78 4001 -coll(c5,c5,A) | cyclic(c3,A,c5,c5). [resolve(1026,a,152,a)].
% 21.50/21.78 4492 -cyclic(c7,c7,c6,c7) | -cyclic(c7,c7,c6,c6) | cong(c7,c7,c7,c7). [resolve(1051,a,289,c)].
% 21.50/21.78 5360 eqratio(c2,c1,c1,c1,c2,c2,c2,c2). [resolve(1080,b,549,a),unit_del(a,719)].
% 21.50/21.78 5380 midp(c2,c2,c2) | -cong(c1,c1,c1,c2). [resolve(1082,a,321,b),unit_del(a,549)].
% 21.50/21.78 5382 -cyclic(c2,c2,c1,c2) | -cyclic(c2,c2,c1,c1) | cong(c2,c2,c2,c2). [resolve(1082,a,289,c)].
% 21.50/21.78 5391 -coll(c1,c1,A) | cyclic(c2,A,c1,c1). [resolve(1082,a,152,a)].
% 21.50/21.78 10744 para(c3,c2,c2,c3). [resolve(2189,a,2238,a)].
% 21.50/21.78 10745 para(c2,c3,c2,c3). [resolve(2189,a,2191,a)].
% 21.50/21.78 10754 para(c3,c2,c3,c2). [resolve(10744,a,114,a)].
% 21.50/21.78 10757 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(10745,a,297,b)].
% 21.50/21.78 10770 -midp(A,c3,c3) | midp(A,c2,c2). [resolve(10754,a,297,b)].
% 21.50/21.78 10772 -midp(c3,A,c3) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(10754,a,155,b)].
% 21.50/21.78 12650 cyclic(c6,c2,c7,c7). [resolve(2986,a,1720,a)].
% 21.50/21.78 12651 cyclic(c6,c8,c7,c7). [resolve(2986,a,1713,a)].
% 21.50/21.78 12653 cyclic(c6,c6,c7,c7). [resolve(2986,a,802,a)].
% 21.50/21.78 12654 cyclic(c6,c7,c7,c7). [resolve(2986,a,637,a)].
% 21.50/21.78 12655 cyclic(c6,c3,c7,c7). [resolve(2986,a,524,a)].
% 21.50/21.78 12656 cyclic(c6,c5,c7,c7). [resolve(2986,a,482,a)].
% 21.50/21.78 12658 -cyclic(c6,c7,c7,c6) | cong(c6,c7,c6,c7). [back_unit_del(2976),unit_del(b,12654)].
% 21.50/21.78 12672 cyclic(c6,c7,c2,c7). [resolve(12650,a,124,a)].
% 21.50/21.78 12674 cyclic(c8,c7,c7,c7). [resolve(12651,a,288,a)].
% 21.50/21.78 12678 cyclic(c8,c6,c7,c7). [resolve(12651,a,125,a)].
% 21.50/21.78 12679 cyclic(c6,c7,c8,c7). [resolve(12651,a,124,a)].
% 21.50/21.78 12687 -cong(c6,c7,c6,c7) | perp(c7,c6,c6,c7). [resolve(12653,a,294,b)].
% 21.50/21.78 12691 cyclic(c6,c7,c6,c7). [resolve(12653,a,124,a)].
% 21.50/21.78 12696 cyclic(c7,c6,c7,c7). [resolve(12654,a,125,a)].
% 21.50/21.78 12703 cyclic(c6,c7,c3,c7). [resolve(12655,a,124,a)].
% 21.50/21.78 12709 cyclic(c5,c6,c7,c7). [resolve(12656,a,125,a)].
% 21.50/21.78 12742 cyclic(c6,c7,c7,c2). [resolve(12672,a,123,a)].
% 21.50/21.78 12747 cyclic(c7,c8,c7,c7). [resolve(12674,a,125,a)].
% 21.50/21.78 12752 cyclic(c8,c7,c6,c7). [resolve(12678,a,124,a)].
% 21.50/21.78 12758 cyclic(c6,c7,c7,c8). [resolve(12679,a,123,a)].
% 21.50/21.78 12780 cyclic(c6,c7,c7,c6). [resolve(12691,a,123,a)].
% 21.50/21.78 12782 cong(c6,c7,c6,c7). [back_unit_del(12658),unit_del(a,12780)].
% 21.50/21.78 12783 perp(c7,c6,c6,c7). [back_unit_del(12687),unit_del(a,12782)].
% 21.50/21.78 12790 cyclic(c7,c7,c6,c7). [resolve(12696,a,124,a)].
% 21.50/21.78 12791 -cyclic(c7,c7,c6,c6) | cong(c7,c7,c7,c7). [back_unit_del(4492),unit_del(a,12790)].
% 21.50/21.78 12807 cyclic(c6,c7,c7,c3). [resolve(12703,a,123,a)].
% 21.50/21.78 12817 cyclic(c5,c7,c6,c7). [resolve(12709,a,124,a)].
% 21.50/21.78 12864 cyclic(c7,c7,c2,c2). [resolve(12742,a,288,a)].
% 21.50/21.78 12869 -cyclic(c6,c7,c7,A) | cyclic(c7,c7,c2,A). [resolve(12742,a,126,a)].
% 21.50/21.78 12874 cyclic(c7,c7,c8,c7). [resolve(12747,a,124,a)].
% 21.50/21.78 12879 cyclic(c7,c8,c6,c7). [resolve(12752,a,125,a)].
% 21.50/21.78 12887 cyclic(c7,c7,c8,c8). [resolve(12758,a,288,a)].
% 21.50/21.78 12892 -cyclic(c6,c7,c7,A) | cyclic(c7,c7,c8,A). [resolve(12758,a,126,a)].
% 21.50/21.78 12924 cyclic(c7,c7,c6,c6). [resolve(12780,a,288,a)].
% 21.50/21.78 12930 cong(c7,c7,c7,c7). [back_unit_del(12791),unit_del(a,12924)].
% 21.50/21.78 12945 midp(c6,c7,c7). [resolve(12782,a,172,a),unit_del(a,812)].
% 21.50/21.78 12956 midp(c6,c6,c6). [resolve(12945,a,784,a)].
% 21.50/21.78 13003 midp(c8,c6,c8). [resolve(12956,a,1188,a),unit_del(a,1156)].
% 21.50/21.78 13004 midp(c6,c8,c8). [resolve(12956,a,1180,a)].
% 21.50/21.78 13073 cong(c8,c6,c8,c8). [resolve(13003,a,173,a)].
% 21.50/21.78 13078 midp(c8,c8,c6). [resolve(13003,a,121,a)].
% 21.50/21.78 13093 cong(c6,c8,c6,c8). [resolve(13004,a,173,a)].
% 21.50/21.78 13114 cong(c8,c8,c8,c6). [resolve(13078,a,173,a)].
% 21.50/21.78 13124 para(c3,c5,c6,c7). [resolve(12783,a,673,a)].
% 21.50/21.78 13168 cyclic(c7,c7,c3,c3). [resolve(12807,a,288,a)].
% 21.50/21.78 13173 -cyclic(c6,c7,c7,A) | cyclic(c7,c7,c3,A). [resolve(12807,a,126,a)].
% 21.50/21.78 13190 cyclic(c7,c5,c6,c7). [resolve(12817,a,125,a)].
% 21.50/21.78 13266 cyclic(c7,c2,c2,c2). [resolve(12864,a,288,a)].
% 21.50/21.78 13270 -cyclic(c7,c7,c2,A) | cyclic(c7,c2,c2,A). [resolve(12864,a,126,a)].
% 21.50/21.78 13272 -cong(c7,c8,c7,c8) | perp(c8,c7,c7,c7). [resolve(12874,a,162,c),unit_del(b,12930)].
% 21.50/21.78 13281 cyclic(c7,c8,c7,c6). [resolve(12879,a,123,a)].
% 21.50/21.78 13296 cyclic(c7,c8,c8,c8). [resolve(12887,a,288,a)].
% 21.50/21.78 13300 -cyclic(c7,c7,c8,A) | cyclic(c7,c8,c8,A). [resolve(12887,a,126,a)].
% 21.50/21.78 13370 midp(c7,c7,c7). [resolve(12930,a,172,a),unit_del(a,637)].
% 21.50/21.78 13377 midp(c6,c7,c6). [resolve(13370,a,793,a),unit_del(a,799)].
% 21.50/21.78 13378 midp(c7,c6,c6). [resolve(13370,a,784,a)].
% 21.50/21.78 13418 midp(c6,c6,c7). [resolve(13377,a,121,a)].
% 21.50/21.78 13421 midp(c7,c8,c8). [resolve(13378,a,1180,a)].
% 21.50/21.78 13472 cong(c6,c6,c6,c7). [resolve(13418,a,173,a)].
% 21.50/21.78 13490 cong(c7,c8,c7,c8). [resolve(13421,a,173,a)].
% 21.50/21.78 13496 perp(c8,c7,c7,c7). [back_unit_del(13272),unit_del(a,13490)].
% 21.50/21.78 13651 cyclic(c6,c8,c8,c8). [resolve(13073,a,337,a)].
% 21.50/21.78 13653 perp(c6,c8,c8,c8). [resolve(13073,a,322,c),unit_del(a,1156)].
% 21.50/21.78 13721 cong(c8,c8,c6,c8). [resolve(13114,a,132,a)].
% 21.50/21.78 13808 -midp(c3,A,c6) | -coll(c5,A,c7) | midp(c5,A,c7). [resolve(13124,a,155,b)].
% 21.50/21.78 13872 cyclic(c7,c3,c3,c3). [resolve(13168,a,288,a)].
% 21.50/21.78 13876 -cyclic(c7,c7,c3,A) | cyclic(c7,c3,c3,A). [resolve(13168,a,126,a)].
% 21.50/21.78 13886 cyclic(c7,c5,c7,c6). [resolve(13190,a,123,a)].
% 21.50/21.78 13968 -cyclic(c7,c2,c2,A) | cyclic(c2,c2,A,c2). [resolve(13266,a,126,b)].
% 21.50/21.78 13981 cyclic(c8,c7,c6,c6). [resolve(13281,a,288,a)].
% 21.50/21.78 14002 -cyclic(c7,c8,c8,A) | cyclic(c8,c8,A,c8). [resolve(13296,a,126,b)].
% 21.50/21.78 14138 -midp(A,c7,c7) | eqangle(c6,c7,c6,c7,c6,c7,c6,A). [resolve(13472,a,320,c)].
% 21.50/21.78 14206 cong(c8,c7,c8,c7). [resolve(13496,a,160,b),unit_del(a,13370)].
% 21.50/21.78 14287 -cong(c6,c8,c8,c8) | perp(c8,c6,c6,c8). [resolve(13651,a,294,b)].
% 21.50/21.78 14294 para(c1,c2,c8,c8). [resolve(13653,a,869,a)].
% 21.50/21.78 14374 cong(c6,c8,c8,c8). [resolve(13721,a,133,a)].
% 21.50/21.78 14375 perp(c8,c6,c6,c8). [back_unit_del(14287),unit_del(a,14374)].
% 21.50/21.78 14445 -cyclic(c7,c3,c3,A) | cyclic(c3,c3,A,c3). [resolve(13872,a,126,b)].
% 21.50/21.78 14459 cyclic(c5,c7,c6,c6). [resolve(13886,a,288,a)].
% 21.50/21.78 14573 cyclic(c8,c6,c7,c6). [resolve(13981,a,124,a)].
% 21.50/21.78 14770 midp(c8,c7,c7). [resolve(14206,a,172,a),unit_del(a,1822)].
% 21.50/21.78 14774 midp(c8,c6,c6). [resolve(14770,a,784,a)].
% 21.50/21.78 14787 midp(c8,c8,c8). [resolve(14774,a,1180,a)].
% 21.50/21.78 14810 cong(c8,c8,c8,c8). [resolve(14787,a,173,a)].
% 21.50/21.78 14965 para(c8,c8,c1,c2). [resolve(14294,a,115,a)].
% 21.50/21.78 15055 perp(c2,c3,c6,c8). [resolve(14375,a,2260,a)].
% 21.50/21.78 15059 para(c2,c1,c6,c8). [resolve(14375,a,883,a)].
% 21.50/21.78 15125 cyclic(c5,c6,c7,c6). [resolve(14459,a,124,a)].
% 21.50/21.78 15240 cyclic(c6,c8,c7,c6). [resolve(14573,a,125,a)].
% 21.50/21.78 15565 -perp(c1,c2,A,B) | perp(c8,c8,A,B). [resolve(14965,a,120,a)].
% 21.50/21.78 15600 para(c2,c3,c2,c1). [resolve(15055,a,1038,a)].
% 21.50/21.78 15627 para(c2,c1,c2,c3). [resolve(15059,a,2382,a)].
% 21.50/21.78 15699 cyclic(c6,c5,c7,c6). [resolve(15125,a,125,a)].
% 21.50/21.78 15810 cyclic(c6,c8,c6,c7). [resolve(15240,a,123,a)].
% 21.50/21.78 16030 -midp(A,c2,c2) | midp(A,c1,c3). [resolve(15600,a,169,c),unit_del(b,15627)].
% 21.50/21.78 16123 cyclic(c6,c5,c6,c7). [resolve(15699,a,123,a)].
% 21.50/21.78 16218 cyclic(c6,c6,c8,c7). [resolve(15810,a,124,a)].
% 21.50/21.78 16371 cyclic(c6,c6,c5,c7). [resolve(16123,a,124,a)].
% 21.50/21.78 16449 perp(c8,c6,c6,c7). [resolve(16218,a,162,c),unit_del(a,13093),unit_del(b,12782)].
% 21.50/21.78 16591 -cong(c6,c5,c6,c5) | perp(c5,c6,c6,c7). [resolve(16371,a,162,c),unit_del(b,12782)].
% 21.50/21.78 16646 perp(c3,c2,c6,c7). [resolve(16449,a,2329,a)].
% 21.50/21.78 16836 para(c3,c2,c3,c5). [resolve(16646,a,927,a)].
% 21.50/21.78 17061 para(c3,c5,c3,c2). [resolve(16836,a,115,a)].
% 21.50/21.78 17231 -midp(A,c3,c3) | midp(A,c2,c5). [resolve(17061,a,169,c),unit_del(b,16836)].
% 21.50/21.78 18721 cyclic(A,c6,c7,c7). [resolve(2988,a,152,a),unit_del(a,802)].
% 21.50/21.78 18722 para(A,B,A,B). [resolve(2988,a,148,a)].
% 21.50/21.78 18727 cyclic(c6,A,c7,c7). [resolve(18721,a,125,a)].
% 21.50/21.78 18729 -midp(A,B,B) | midp(A,C,C). [resolve(18722,a,297,b)].
% 21.50/21.78 18730 coll(A,B,B). [resolve(18722,a,171,a)].
% 21.50/21.78 18771 coll(A,A,B). [resolve(18730,a,283,a)].
% 21.50/21.78 18774 coll(A,B,A). [resolve(18730,a,112,a)].
% 21.50/21.78 18932 cyclic(c2,A,c1,c1). [back_unit_del(5391),unit_del(a,18771)].
% 21.50/21.78 18942 cyclic(c3,A,c5,c5). [back_unit_del(4001),unit_del(a,18771)].
% 21.50/21.78 18967 cyclic(c5,A,c3,c3). [back_unit_del(3069),unit_del(a,18771)].
% 21.50/21.78 19048 coll(c3,A,c6). [back_unit_del(567),unit_del(a,18771)].
% 21.50/21.78 19052 coll(c5,A,c7). [back_unit_del(554),unit_del(a,18771)].
% 21.50/21.78 19085 -midp(c3,A,c3) | midp(c2,A,c2). [back_unit_del(10772),unit_del(b,18774)].
% 21.50/21.78 19088 -midp(c1,A,c1) | midp(c4,A,c4). [back_unit_del(1599),unit_del(b,18774)].
% 21.50/21.78 19091 -midp(c2,A,c2) | midp(c1,A,c1). [back_unit_del(1108),unit_del(b,18774)].
% 21.50/21.78 19094 -midp(c5,A,c5) | midp(c3,A,c3). [back_unit_del(1025),unit_del(b,18774)].
% 21.50/21.78 19103 -cyclic(c2,c2,c1,c2) | cong(c2,c2,c2,c2). [back_unit_del(5382),unit_del(b,18932)].
% 21.50/21.78 19105 -cyclic(c3,c3,c5,c3) | cong(c3,c3,c3,c3). [back_unit_del(3992),unit_del(b,18942)].
% 21.50/21.78 19106 -cyclic(c3,c5,c5,c3) | cong(c3,c5,c3,c5). [back_unit_del(3991),unit_del(b,18942)].
% 21.50/21.78 19108 -cyclic(c5,c3,c3,c5) | cong(c5,c3,c5,c3). [back_unit_del(3059),unit_del(b,18967)].
% 21.50/21.78 19306 -midp(c2,A,c8) | midp(c3,A,c6). [back_unit_del(2258),unit_del(b,19048)].
% 21.50/21.78 19312 -midp(c3,A,c6) | midp(c5,A,c7). [back_unit_del(13808),unit_del(b,19052)].
% 21.50/21.78 19350 coll(A,B,C). [resolve(18771,a,113,b),unit_del(a,18771)].
% 21.50/21.78 19371 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E). [back_unit_del(155),unit_del(c,19350)].
% 21.50/21.78 19410 cyclic(c6,c7,A,c7). [resolve(18727,a,124,a)].
% 21.50/21.78 19461 cyclic(c3,c5,A,c5). [resolve(18942,a,124,a)].
% 21.50/21.78 19484 cyclic(c6,c7,c7,A). [resolve(19410,a,123,a)].
% 21.50/21.78 19487 cyclic(c7,c7,c3,A). [back_unit_del(13173),unit_del(a,19484)].
% 21.50/21.78 19493 cyclic(c7,c7,c8,A). [back_unit_del(12892),unit_del(a,19484)].
% 21.50/21.78 19495 cyclic(c7,c7,c2,A). [back_unit_del(12869),unit_del(a,19484)].
% 21.50/21.78 19508 cyclic(c7,c3,c3,A). [back_unit_del(13876),unit_del(a,19487)].
% 21.50/21.78 19531 cyclic(c7,c8,c8,A). [back_unit_del(13300),unit_del(a,19493)].
% 21.50/21.78 19536 cyclic(c7,c2,c2,A). [back_unit_del(13270),unit_del(a,19495)].
% 21.50/21.78 19565 cyclic(c3,c3,A,c3). [back_unit_del(14445),unit_del(a,19508)].
% 21.50/21.78 19629 cyclic(c8,c8,A,c8). [back_unit_del(14002),unit_del(a,19531)].
% 21.50/21.78 19641 cyclic(c2,c2,A,c2). [back_unit_del(13968),unit_del(a,19536)].
% 21.50/21.78 19679 cong(c3,c3,c3,c3). [back_unit_del(19105),unit_del(a,19565)].
% 21.50/21.78 19719 cong(c2,c2,c2,c2). [back_unit_del(19103),unit_del(a,19641)].
% 21.50/21.78 19822 cyclic(c5,c3,A,c5). [resolve(19461,a,125,a)].
% 21.50/21.78 19823 cyclic(c3,c5,c5,A). [resolve(19461,a,123,a)].
% 21.50/21.78 19824 cong(c5,c3,c5,c3). [back_unit_del(19108),unit_del(a,19822)].
% 21.50/21.78 19825 cong(c3,c5,c3,c5). [back_unit_del(19106),unit_del(a,19823)].
% 21.50/21.78 20205 -cong(c3,A,c3,A) | perp(A,c3,c3,c3). [resolve(19565,a,162,c),unit_del(b,19679)].
% 21.50/21.78 20328 -cong(c8,A,c8,A) | perp(A,c8,c8,c8). [resolve(19629,a,162,c),unit_del(b,14810)].
% 21.50/21.78 20419 -cong(c3,c5,c5,c3) | cong(c3,c3,c3,c5). [resolve(3266,a,179,a)].
% 21.50/21.78 20581 cong(c5,c3,c3,c5). [resolve(19824,a,132,a)].
% 21.50/21.78 20591 cong(c3,c5,c5,c3). [resolve(19825,a,132,a)].
% 21.50/21.78 20592 cong(c3,c3,c3,c5). [back_unit_del(20419),unit_del(a,20591)].
% 21.50/21.78 20593 midp(c5,c5,c5). [back_unit_del(3058),unit_del(b,20592)].
% 21.50/21.78 20594 midp(c5,c3,c3). [resolve(20593,a,1017,a)].
% 21.50/21.78 20603 midp(c5,c2,c2). [resolve(20594,a,10770,a)].
% 21.50/21.78 20619 cong(c5,c2,c5,c2). [resolve(20603,a,173,a)].
% 21.50/21.78 20802 cong(c5,c5,c5,c3). [resolve(3373,a,179,a),unit_del(a,20581)].
% 21.50/21.78 20803 midp(c3,c3,c3). [back_unit_del(3990),unit_del(b,20802)].
% 21.50/21.78 20804 midp(c3,c2,c2). [resolve(20803,a,10770,a)].
% 21.50/21.78 20814 midp(c3,c1,c1). [resolve(20804,a,1100,a)].
% 21.50/21.78 20817 para(c3,c3,c2,c2). [resolve(20804,a,292,a)].
% 21.50/21.78 20834 midp(c3,c4,c4). [resolve(20814,a,1590,a)].
% 21.50/21.78 21133 cong(c5,c2,c2,c5). [resolve(20619,a,132,a)].
% 21.50/21.78 21240 -perp(c2,c2,A,B) | perp(c3,c3,A,B). [resolve(20817,a,120,a)].
% 21.50/21.78 21328 cong(c2,c5,c5,c2). [resolve(21133,a,133,a)].
% 21.50/21.78 21437 cong(c2,c5,c2,c5). [resolve(21328,a,132,a)].
% 21.50/21.78 21475 -cong(c2,A,c2,A) | perp(c2,c2,A,c5). [resolve(21437,a,161,b)].
% 21.50/21.78 21735 cong(c2,c1,c1,c1). [resolve(5360,a,179,a),unit_del(a,19719)].
% 21.50/21.78 21745 cong(c1,c1,c2,c1). [resolve(21735,a,133,a)].
% 21.50/21.78 21759 cong(c1,c1,c1,c2). [resolve(21745,a,132,a)].
% 21.50/21.78 21760 midp(c2,c2,c2). [back_unit_del(5380),unit_del(b,21759)].
% 21.50/21.78 21761 midp(c2,c3,c3). [resolve(21760,a,10757,a)].
% 21.50/21.78 21762 midp(c2,c1,c1). [resolve(21760,a,1100,a)].
% 21.50/21.78 21776 midp(c2,c4,c4). [resolve(21762,a,1590,a)].
% 21.50/21.78 22102 midp(c2,c1,c3). [resolve(16030,a,21760,a)].
% 21.50/21.78 22105 midp(c5,c1,c3). [resolve(16030,a,20603,a)].
% 21.50/21.78 22117 midp(c2,c3,c1). [resolve(22102,a,121,a)].
% 21.50/21.78 22156 midp(c5,c3,c1). [resolve(22105,a,121,a)].
% 21.50/21.78 22157 cong(c3,c2,c2,c2). [resolve(22117,a,2365,a)].
% 21.50/21.78 22195 cong(c3,c5,c2,c5). [resolve(22156,a,2365,a)].
% 21.50/21.78 22250 perp(c3,c2,c2,c2). [resolve(22157,a,293,a)].
% 21.50/21.78 22300 perp(c3,c2,c5,c5). [resolve(22195,a,293,a)].
% 21.50/21.78 22358 para(c1,c2,c2,c2). [resolve(22250,a,2237,a)].
% 21.50/21.78 22431 perp(c6,c8,c5,c5). [resolve(22300,a,2781,a)].
% 21.50/21.78 22538 -perp(c2,c2,A,B) | perp(c1,c2,A,B). [resolve(22358,a,120,a)].
% 21.50/21.78 22672 -midp(c8,c5,c5) | cong(c6,c5,c6,c5). [resolve(22431,a,160,b)].
% 21.50/21.78 23130 midp(c2,c2,c5). [resolve(17231,a,21761,a)].
% 21.50/21.78 23136 cong(c2,c2,c2,c5). [resolve(23130,a,173,a)].
% 21.50/21.78 23194 cong(c2,c2,c5,c2). [resolve(23136,a,132,a)].
% 21.50/21.78 23216 perp(c2,c5,c2,c2). [resolve(23194,a,293,a)].
% 21.50/21.78 23233 -perp(c2,c2,A,B) | para(c2,c5,A,B). [resolve(23216,a,119,a)].
% 21.50/21.78 23302 midp(c2,A,A). [resolve(18729,a,21776,a)].
% 21.50/21.78 23304 midp(c3,A,A). [resolve(18729,a,20834,a)].
% 21.50/21.78 23306 midp(c8,A,A). [resolve(18729,a,14787,a)].
% 21.50/21.78 23315 cong(c6,c5,c6,c5). [back_unit_del(22672),unit_del(a,23306)].
% 21.50/21.78 23328 perp(c5,c6,c6,c7). [back_unit_del(16591),unit_del(a,23315)].
% 21.50/21.78 23344 cong(c2,A,c2,A). [resolve(23302,a,173,a)].
% 21.50/21.78 23354 perp(c2,c2,A,c5). [back_unit_del(21475),unit_del(a,23344)].
% 21.50/21.78 23380 cong(c3,A,c3,A). [resolve(23304,a,173,a)].
% 21.50/21.78 23395 perp(A,c3,c3,c3). [back_unit_del(20205),unit_del(a,23380)].
% 21.50/21.78 23419 cong(c8,A,c8,A). [resolve(23306,a,173,a)].
% 21.50/21.78 23425 perp(A,c8,c8,c8). [back_unit_del(20328),unit_del(a,23419)].
% 21.50/21.78 23691 para(c5,c6,c5,c3). [resolve(23328,a,1013,a)].
% 21.50/21.78 23820 perp(c2,c2,A,B). [resolve(23344,a,161,b),unit_del(a,23344)].
% 21.50/21.78 23823 para(c2,c5,A,B). [back_unit_del(23233),unit_del(a,23820)].
% 21.50/21.78 23827 perp(c1,c2,A,B). [back_unit_del(22538),unit_del(a,23820)].
% 21.50/21.78 23843 perp(c3,c3,A,B). [back_unit_del(21240),unit_del(a,23820)].
% 21.50/21.78 23854 perp(c8,c8,A,B). [back_unit_del(15565),unit_del(a,23827)].
% 21.50/21.78 23942 -perp(A,B,c2,c2) | para(A,B,C,c5). [resolve(23354,a,119,b)].
% 21.50/21.78 24112 para(A,c3,B,C). [resolve(23395,a,119,a),unit_del(a,23843)].
% 21.50/21.78 24220 para(A,c8,B,C). [resolve(23425,a,119,a),unit_del(a,23854)].
% 21.50/21.78 24226 -midp(A,c3,c6) | midp(A,c2,c8). [back_unit_del(2749),unit_del(b,24220)].
% 21.50/21.78 24522 -midp(A,c5,c5) | midp(A,c3,c6). [resolve(23691,a,169,c),unit_del(b,24112)].
% 21.50/21.78 24655 perp(A,B,c2,c2). [resolve(23820,a,118,a)].
% 21.50/21.78 24660 para(A,B,C,c5). [back_unit_del(23942),unit_del(a,24655)].
% 21.50/21.78 24684 -midp(A,c2,B) | midp(A,C,c5). [resolve(23823,a,169,c),unit_del(b,24660)].
% 21.50/21.78 24687 para(A,B,C,D). [resolve(23823,a,116,b),unit_del(a,24660)].
% 21.50/21.78 24691 -midp(A,B,C) | midp(D,B,E). [back_unit_del(19371),unit_del(b,24687)].
% 21.50/21.78 24694 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(149),unit_del(a,24687)].
% 21.50/21.78 25885 midp(c2,c3,c6). [resolve(24522,a,23302,a)].
% 21.50/21.78 25972 midp(c2,c2,c8). [resolve(25885,a,24226,a)].
% 21.50/21.78 26146 midp(c3,c2,c6). [resolve(25972,a,19306,a)].
% 21.50/21.78 26284 midp(c5,c2,c7). [resolve(26146,a,19312,a)].
% 21.50/21.78 27381 midp(c5,A,c5). [resolve(24684,a,26284,a)].
% 21.50/21.78 27389 midp(c3,A,c3). [back_unit_del(19094),unit_del(a,27381)].
% 21.50/21.78 27393 midp(c2,A,c2). [back_unit_del(19085),unit_del(a,27389)].
% 21.50/21.78 27395 midp(c1,A,c1). [back_unit_del(19091),unit_del(a,27393)].
% 21.50/21.78 27397 midp(c4,A,c4). [back_unit_del(19088),unit_del(a,27395)].
% 21.50/21.78 27676 midp(A,B,C). [resolve(24691,a,27397,a)].
% 21.50/21.78 27795 eqangle(c6,c7,c6,c7,c6,c7,c6,A). [back_unit_del(14138),unit_del(a,27676)].
% 21.50/21.78 31601 eqangle(A,B,C,D,E,F,E,F). [resolve(24694,a,130,a)].
% 21.50/21.78 34094 eqangle(A,B,C,D,c6,c7,c6,E). [resolve(27795,a,131,b),unit_del(a,31601)].
% 21.50/21.78 39478 eqangle(A,B,c6,c7,C,D,c6,E). [resolve(34094,a,130,a)].
% 21.50/21.78 39479 $F. [resolve(39478,a,216,a)].
% 21.50/21.78
% 21.50/21.78 % SZS output end Refutation
% 21.50/21.78 ============================== end of proof ==========================
% 21.50/21.78
% 21.50/21.78 ============================== STATISTICS ============================
% 21.50/21.78
% 21.50/21.78 Given=22198. Generated=350937. Kept=39352. proofs=1.
% 21.50/21.78 Usable=19878. Sos=5379. Demods=0. Limbo=4, Disabled=14262. Hints=0.
% 21.50/21.78 Megabytes=19.61.
% 21.50/21.78 User_CPU=20.52, System_CPU=0.22, Wall_clock=21.
% 21.50/21.78
% 21.50/21.78 ============================== end of statistics =====================
% 21.50/21.78
% 21.50/21.78 ============================== end of search =========================
% 21.50/21.78
% 21.50/21.78 THEOREM PROVED
% 21.50/21.78 % SZS status Theorem
% 21.50/21.78
% 21.50/21.78 Exiting with 1 proof.
% 21.50/21.78
% 21.50/21.78 Process 22524 exit (max_proofs) Sat Jun 18 09:30:00 2022
% 21.50/21.78 Prover9 interrupted
%------------------------------------------------------------------------------