TSTP Solution File: GEO642+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 05:57:22 EDT 2022
% Result : Theorem 15.63s 15.91s
% Output : Refutation 15.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 18:55:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.83/1.08 ============================== Prover9 ===============================
% 0.83/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.08 Process 18511 was started by sandbox on n003.cluster.edu,
% 0.83/1.08 Sat Jun 18 18:55:29 2022
% 0.83/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18358_n003.cluster.edu".
% 0.83/1.08 ============================== end of head ===========================
% 0.83/1.08
% 0.83/1.08 ============================== INPUT =================================
% 0.83/1.08
% 0.83/1.08 % Reading from file /tmp/Prover9_18358_n003.cluster.edu
% 0.83/1.08
% 0.83/1.08 set(prolog_style_variables).
% 0.83/1.08 set(auto2).
% 0.83/1.08 % set(auto2) -> set(auto).
% 0.83/1.08 % set(auto) -> set(auto_inference).
% 0.83/1.08 % set(auto) -> set(auto_setup).
% 0.83/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.08 % set(auto) -> set(auto_limits).
% 0.83/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.08 % set(auto) -> set(auto_denials).
% 0.83/1.08 % set(auto) -> set(auto_process).
% 0.83/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.08 % set(auto2) -> assign(stats, some).
% 0.83/1.08 % set(auto2) -> clear(echo_input).
% 0.83/1.08 % set(auto2) -> set(quiet).
% 0.83/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.08 % set(auto2) -> clear(print_given).
% 0.83/1.08 assign(lrs_ticks,-1).
% 0.83/1.08 assign(sos_limit,10000).
% 0.83/1.08 assign(order,kbo).
% 0.83/1.08 set(lex_order_vars).
% 0.83/1.08 clear(print_given).
% 0.83/1.08
% 0.83/1.08 % formulas(sos). % not echoed (95 formulas)
% 0.83/1.08
% 0.83/1.08 ============================== end of input ==========================
% 0.83/1.08
% 0.83/1.08 % From the command line: assign(max_seconds, 300).
% 0.83/1.08
% 0.83/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.08
% 0.83/1.08 % Formulas that are not ordinary clauses:
% 0.83/1.08 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 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].
% 0.83/1.08 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 95 -(all A all B all O all C all P all D all G all E all F all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 (midp(O,B,A) & circle(O,A,NWPNT1,NWPNT2) & circle(O,A,C,NWPNT3) & circle(O,A,P,NWPNT4) & circle(C,B,NWPNT5,NWPNT6) & circle(O,A,D,NWPNT7) & circle(C,B,D,NWPNT8) & coll(G,B,P) & coll(G,A,D) & coll(E,A,C) & coll(E,B,P) & coll(F,A,D) & coll(F,C,P) -> perp(E,F,A,D))) # label(exemplo6GDDFULL81109108) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.09
% 0.83/1.09 ============================== end of process non-clausal formulas ===
% 0.83/1.09
% 0.83/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.09
% 0.83/1.09 ============================== PREDICATE ELIMINATION =================
% 0.83/1.09 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)].
% 0.83/1.09 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 100 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.83/1.09 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)].
% 0.83/1.09 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.83/1.09 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)].
% 0.83/1.09 103 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 104 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 105 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 106 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 107 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 108 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 109 circle(c3,c1,c10,c11) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c3,c1,c1,A) | eqangle(c1,A,c1,c10,c11,c1,c11,c10). [resolve(109,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c1,A,c1,c10,c11,c1,c11,c10) | perp(c3,c1,c1,A). [resolve(109,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c10,c11) | eqangle(c1,c10,c1,c11,c3,c10,c3,A). [resolve(109,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c10,c11) | -eqangle(c1,c10,c1,c11,c3,c10,c3,A) | midp(A,c10,c11). [resolve(109,a,100,a)].
% 0.83/1.09 Derived: -coll(c3,c1,c11) | perp(c1,c10,c10,c11). [resolve(109,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c1,c10,c11,c3),c1,c1,c3). [resolve(109,a,102,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c10) | B = c3 | coll(f13(c1,c10,c11,A,c3,B),c1,c11). [resolve(109,a,103,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c10) | B = c3 | cong(f13(c1,c10,c11,A,c3,B),B,B,c1). [resolve(109,a,104,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c10) | B = c3 | coll(f14(c1,c10,c11,A,c3,B),c10,A). [resolve(109,a,105,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c10) | B = c3 | cong(f14(c1,c10,c11,A,c3,B),B,B,c1). [resolve(109,a,106,a)].
% 0.83/1.09 110 circle(c3,c1,c4,c12) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c3,c1,c1,A) | eqangle(c1,A,c1,c4,c12,c1,c12,c4). [resolve(110,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c1,A,c1,c4,c12,c1,c12,c4) | perp(c3,c1,c1,A). [resolve(110,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c4,c12) | eqangle(c1,c4,c1,c12,c3,c4,c3,A). [resolve(110,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c4,c12) | -eqangle(c1,c4,c1,c12,c3,c4,c3,A) | midp(A,c4,c12). [resolve(110,a,100,a)].
% 0.83/1.09 Derived: -coll(c3,c1,c12) | perp(c1,c4,c4,c12). [resolve(110,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c1,c4,c12,c3),c1,c1,c3). [resolve(110,a,102,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | coll(f13(c1,c4,c12,A,c3,B),c1,c12). [resolve(110,a,103,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | cong(f13(c1,c4,c12,A,c3,B),B,B,c1). [resolve(110,a,104,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | coll(f14(c1,c4,c12,A,c3,B),c4,A). [resolve(110,a,105,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | cong(f14(c1,c4,c12,A,c3,B),B,B,c1). [resolve(110,a,106,a)].
% 0.83/1.09 111 circle(c3,c1,c5,c13) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c3,c1,c1,A) | eqangle(c1,A,c1,c5,c13,c1,c13,c5). [resolve(111,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c1,A,c1,c5,c13,c1,c13,c5) | perp(c3,c1,c1,A). [resolve(111,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c5,c13) | eqangle(c1,c5,c1,c13,c3,c5,c3,A). [resolve(111,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c5,c13) | -eqangle(c1,c5,c1,c13,c3,c5,c3,A) | midp(A,c5,c13). [resolve(111,a,100,a)].
% 0.83/1.09 Derived: -coll(c3,c1,c13) | perp(c1,c5,c5,c13). [resolve(111,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c1,c5,c13,c3),c1,c1,c3). [resolve(111,a,102,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c5) | B = c3 | coll(f13(c1,c5,c13,A,c3,B),c1,c13). [resolve(111,a,103,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c5) | B = c3 | cong(f13(c1,c5,c13,A,c3,B),B,B,c1). [resolve(111,a,104,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c5) | B = c3 | coll(f14(c1,c5,c13,A,c3,B),c5,A). [resolve(111,a,105,a)].
% 0.83/1.09 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c5) | B = c3 | cong(f14(c1,c5,c13,A,c3,B),B,B,c1). [resolve(111,a,106,a)].
% 0.83/1.09 112 circle(c4,c2,c14,c15) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c4,c2,c2,A) | eqangle(c2,A,c2,c14,c15,c2,c15,c14). [resolve(112,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c2,A,c2,c14,c15,c2,c15,c14) | perp(c4,c2,c2,A). [resolve(112,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c14,c15) | eqangle(c2,c14,c2,c15,c4,c14,c4,A). [resolve(112,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c14,c15) | -eqangle(c2,c14,c2,c15,c4,c14,c4,A) | midp(A,c14,c15). [resolve(112,a,100,a)].
% 0.83/1.09 Derived: -coll(c4,c2,c15) | perp(c2,c14,c14,c15). [resolve(112,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c2,c14,c15,c4),c2,c2,c4). [resolve(112,a,102,a)].
% 0.83/1.09 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c14) | B = c4 | coll(f13(c2,c14,c15,A,c4,B),c2,c15). [resolve(112,a,103,a)].
% 0.83/1.09 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c14) | B = c4 | cong(f13(c2,c14,c15,A,c4,B),B,B,c2). [resolve(112,a,104,a)].
% 0.83/1.09 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c14) | B = c4 | coll(f14(c2,c14,c15,A,c4,B),c14,A). [resolve(112,a,105,a)].
% 0.83/1.09 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c14) | B = c4 | cong(f14(c2,c14,c15,A,c4,B),B,B,c2). [resolve(112,a,106,a)].
% 0.83/1.09 113 circle(c3,c1,c6,c16) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c3,c1,c1,A) | eqangle(c1,A,c1,c6,c16,c1,c16,c6). [resolve(113,a,96,a)].
% 15.63/15.91 Derived: -eqangle(c1,A,c1,c6,c16,c1,c16,c6) | perp(c3,c1,c1,A). [resolve(113,a,98,a)].
% 15.63/15.91 Derived: -midp(A,c6,c16) | eqangle(c1,c6,c1,c16,c3,c6,c3,A). [resolve(113,a,99,a)].
% 15.63/15.91 Derived: -coll(A,c6,c16) | -eqangle(c1,c6,c1,c16,c3,c6,c3,A) | midp(A,c6,c16). [resolve(113,a,100,a)].
% 15.63/15.91 Derived: -coll(c3,c1,c16) | perp(c1,c6,c6,c16). [resolve(113,a,101,a)].
% 15.63/15.91 Derived: perp(f12(c1,c6,c16,c3),c1,c1,c3). [resolve(113,a,102,a)].
% 15.63/15.91 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c6) | B = c3 | coll(f13(c1,c6,c16,A,c3,B),c1,c16). [resolve(113,a,103,a)].
% 15.63/15.91 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c6) | B = c3 | cong(f13(c1,c6,c16,A,c3,B),B,B,c1). [resolve(113,a,104,a)].
% 15.63/15.91 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c6) | B = c3 | coll(f14(c1,c6,c16,A,c3,B),c6,A). [resolve(113,a,105,a)].
% 15.63/15.91 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c6) | B = c3 | cong(f14(c1,c6,c16,A,c3,B),B,B,c1). [resolve(113,a,106,a)].
% 15.63/15.91 114 circle(c4,c2,c6,c17) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 Derived: -perp(c4,c2,c2,A) | eqangle(c2,A,c2,c6,c17,c2,c17,c6). [resolve(114,a,96,a)].
% 15.63/15.91 Derived: -eqangle(c2,A,c2,c6,c17,c2,c17,c6) | perp(c4,c2,c2,A). [resolve(114,a,98,a)].
% 15.63/15.91 Derived: -midp(A,c6,c17) | eqangle(c2,c6,c2,c17,c4,c6,c4,A). [resolve(114,a,99,a)].
% 15.63/15.91 Derived: -coll(A,c6,c17) | -eqangle(c2,c6,c2,c17,c4,c6,c4,A) | midp(A,c6,c17). [resolve(114,a,100,a)].
% 15.63/15.91 Derived: -coll(c4,c2,c17) | perp(c2,c6,c6,c17). [resolve(114,a,101,a)].
% 15.63/15.91 Derived: perp(f12(c2,c6,c17,c4),c2,c2,c4). [resolve(114,a,102,a)].
% 15.63/15.91 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c6) | B = c4 | coll(f13(c2,c6,c17,A,c4,B),c2,c17). [resolve(114,a,103,a)].
% 15.63/15.91 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c6) | B = c4 | cong(f13(c2,c6,c17,A,c4,B),B,B,c2). [resolve(114,a,104,a)].
% 15.63/15.91 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c6) | B = c4 | coll(f14(c2,c6,c17,A,c4,B),c6,A). [resolve(114,a,105,a)].
% 15.63/15.91 Derived: -cong(c4,c2,c4,A) | -cong(B,c2,B,c6) | B = c4 | cong(f14(c2,c6,c17,A,c4,B),B,B,c2). [resolve(114,a,106,a)].
% 15.63/15.91
% 15.63/15.91 ============================== end predicate elimination =============
% 15.63/15.91
% 15.63/15.91 Auto_denials: (non-Horn, no changes).
% 15.63/15.91
% 15.63/15.91 Term ordering decisions:
% 15.63/15.91 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. 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.
% 15.63/15.91
% 15.63/15.91 ============================== end of process initial clauses ========
% 15.63/15.91
% 15.63/15.91 ============================== CLAUSES FOR SEARCH ====================
% 15.63/15.91
% 15.63/15.91 ============================== end of clauses for search =============
% 15.63/15.91
% 15.63/15.91 ============================== SEARCH ================================
% 15.63/15.91
% 15.63/15.91 % Starting search at 0.05 seconds.
% 15.63/15.91
% 15.63/15.91 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 799 (0.00 of 0.17 sec).
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=49.000, iters=3363
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=48.000, iters=3353
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=39.000, iters=3523
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=31.000, iters=3476
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=26.000, iters=3336
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=24.000, iters=3334
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=23.000, iters=3349
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=22.000, iters=3349
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=20.000, iters=3341
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=19.000, iters=3338
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=18.000, iters=3346
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=17.000, iters=3440
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=16.000, iters=3336
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=15.000, iters=3352
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=14.000, iters=3356
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=13.000, iters=3397
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=7480, wt=57.000
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=7477, wt=49.000
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=7478, wt=48.000
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=14116, wt=10.000
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=14159, wt=9.000
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=14511, wt=8.000
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=11.000, iters=3336
% 15.63/15.91
% 15.63/15.91 Low Water (displace): id=15846, wt=5.000
% 15.63/15.91
% 15.63/15.91 Low Water (keep): wt=10.000, iters=3341
% 15.63/15.91
% 15.63/15.91 ============================== PROOF =================================
% 15.63/15.91 % SZS status Theorem
% 15.63/15.91 % SZS output start Refutation
% 15.63/15.91
% 15.63/15.91 % Proof 1 at 14.71 (+ 0.14) seconds.
% 15.63/15.91 % Length of proof is 419.
% 15.63/15.91 % Level of proof is 39.
% 15.63/15.91 % Maximum clause weight is 29.000.
% 15.63/15.91 % Given clauses 17963.
% 15.63/15.91
% 15.63/15.91 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 15.63/15.91 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 15.63/15.91 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].
% 15.63/15.91 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 15.63/15.91 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 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].
% 15.63/15.91 95 -(all A all B all O all C all P all D all G all E all F all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 (midp(O,B,A) & circle(O,A,NWPNT1,NWPNT2) & circle(O,A,C,NWPNT3) & circle(O,A,P,NWPNT4) & circle(C,B,NWPNT5,NWPNT6) & circle(O,A,D,NWPNT7) & circle(C,B,D,NWPNT8) & coll(G,B,P) & coll(G,A,D) & coll(E,A,C) & coll(E,B,P) & coll(F,A,D) & coll(F,C,P) -> perp(E,F,A,D))) # label(exemplo6GDDFULL81109108) # label(negated_conjecture) # label(non_clause). [assumption].
% 15.63/15.91 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 15.63/15.91 100 -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)].
% 15.63/15.91 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 15.63/15.91 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 15.63/15.91 109 circle(c3,c1,c10,c11) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 112 circle(c4,c2,c14,c15) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 115 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 15.63/15.91 116 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 15.63/15.91 117 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 15.63/15.91 118 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 15.63/15.91 119 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 15.63/15.91 120 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 15.63/15.91 122 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 15.63/15.91 123 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 15.63/15.91 124 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 15.63/15.91 125 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 15.63/15.91 126 -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)].
% 15.63/15.91 127 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 15.63/15.91 128 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 15.63/15.91 129 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 15.63/15.91 130 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 15.63/15.91 136 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 15.63/15.91 137 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 15.63/15.91 138 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 15.63/15.91 153 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 15.63/15.91 156 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 15.63/15.91 157 -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)].
% 15.63/15.91 158 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 15.63/15.91 159 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 15.63/15.91 162 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 15.63/15.91 164 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 15.63/15.91 165 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 15.63/15.91 166 -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)].
% 15.63/15.91 172 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 15.63/15.91 173 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 15.63/15.91 175 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 15.63/15.91 176 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 15.63/15.91 177 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 15.63/15.91 178 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 15.63/15.91 194 -midp(A,B,C) | -midp(D,E,F) | midp(f6(B,C,E,F,A,D),B,F) # label(ruleX6) # label(axiom). [clausify(82)].
% 15.63/15.91 197 -midp(A,B,C) | -midp(D,E,F) | -coll(E,B,C) | -coll(F,B,C) | midp(f7(B,C,E,F,A,D,V6),B,V6) # label(ruleX7) # label(axiom). [clausify(83)].
% 15.63/15.91 210 -cong(A,B,A,C) | -perp(B,A,A,C) | coll(B,A,f19(B,C,A)) # label(ruleX17) # label(axiom). [clausify(93)].
% 15.63/15.91 211 -cong(A,B,A,C) | -perp(B,A,A,C) | cong(A,B,A,f19(B,C,A)) # label(ruleX17) # label(axiom). [clausify(93)].
% 15.63/15.91 214 midp(c3,c2,c1) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 215 coll(c7,c2,c5) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 217 coll(c8,c1,c4) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 218 coll(c8,c2,c5) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 220 coll(c9,c4,c5) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 221 -perp(c8,c9,c1,c6) # label(exemplo6GDDFULL81109108) # label(negated_conjecture). [clausify(95)].
% 15.63/15.91 225 -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)].
% 15.63/15.91 226 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 15.63/15.91 265 perp(f12(c1,c10,c11,c3),c1,c1,c3). [resolve(109,a,102,a)].
% 15.63/15.91 307 perp(f12(c2,c14,c15,c4),c2,c2,c4). [resolve(112,a,102,a)].
% 15.63/15.91 344 -coll(A,B,C) | coll(C,C,A). [factor(117,a,b)].
% 15.63/15.91 346 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(126,a,b)].
% 15.63/15.91 349 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(130,a,b)].
% 15.63/15.91 351 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,D,D,D,E) | cong(A,B,D,E). [factor(157,a,c)].
% 15.63/15.91 353 -midp(A,B,C) | para(A,A,C,C). [factor(158,a,b)].
% 15.63/15.91 354 -cong(A,B,C,B) | perp(A,C,B,B). [factor(165,a,b)].
% 15.63/15.91 355 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(166,a,b)].
% 15.63/15.91 357 -midp(A,B,C) | para(B,B,C,C). [factor(172,a,b)].
% 15.63/15.91 358 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(173,b,c)].
% 15.63/15.91 383 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(226,c,d)].
% 15.63/15.91 398 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(346,a,b)].
% 15.63/15.91 407 -midp(A,B,C) | -coll(c2,B,C) | -coll(c1,B,C) | midp(f7(B,C,c2,c1,A,c3,D),B,D). [resolve(214,a,197,b)].
% 15.63/15.91 408 -midp(A,B,C) | -coll(B,c2,c1) | -coll(C,c2,c1) | midp(f7(c2,c1,B,C,c3,A,D),c2,D). [resolve(214,a,197,a)].
% 15.63/15.91 414 -midp(A,B,C) | midp(f6(c2,c1,B,C,c3,A),c2,C). [resolve(214,a,194,a)].
% 15.63/15.91 417 coll(c3,c2,c1). [resolve(214,a,178,a)].
% 15.63/15.91 418 cong(c3,c2,c3,c1). [resolve(214,a,177,a)].
% 15.63/15.91 419 -midp(c3,A,B) | para(A,c2,B,c1). [resolve(214,a,172,b)].
% 15.63/15.91 420 -midp(c3,A,B) | para(c2,A,c1,B). [resolve(214,a,172,a)].
% 15.63/15.91 421 -midp(A,c2,B) | para(A,c3,B,c1). [resolve(214,a,158,b)].
% 15.63/15.91 422 -midp(A,c2,B) | para(c3,A,c1,B). [resolve(214,a,158,a)].
% 15.63/15.91 423 midp(c3,c1,c2). [resolve(214,a,125,a)].
% 15.63/15.91 427 coll(c2,c7,c5). [resolve(215,a,116,a)].
% 15.63/15.91 435 coll(c1,c8,c4). [resolve(217,a,116,a)].
% 15.63/15.91 436 coll(c8,c4,c1). [resolve(217,a,115,a)].
% 15.63/15.91 440 coll(c8,c5,c2). [resolve(218,a,115,a)].
% 15.63/15.91 447 coll(c4,c9,c5). [resolve(220,a,116,a)].
% 15.63/15.91 448 coll(c9,c5,c4). [resolve(220,a,115,a)].
% 15.63/15.91 469 -perp(A,B,f12(c1,c10,c11,c3),c1) | para(A,B,c1,c3). [resolve(265,a,123,b)].
% 15.63/15.91 471 perp(c1,c3,f12(c1,c10,c11,c3),c1). [resolve(265,a,122,a)].
% 15.63/15.91 544 -perp(A,B,f12(c2,c14,c15,c4),c2) | para(A,B,c2,c4). [resolve(307,a,123,b)].
% 15.63/15.91 546 perp(c2,c4,f12(c2,c14,c15,c4),c2). [resolve(307,a,122,a)].
% 15.63/15.91 599 coll(c5,c5,c9). [resolve(344,a,220,a)].
% 15.63/15.91 601 coll(c5,c5,c8). [resolve(344,a,218,a)].
% 15.63/15.91 605 para(c3,c3,c1,c1). [resolve(353,a,214,a)].
% 15.63/15.91 612 coll(c1,c1,c3). [resolve(417,a,344,a)].
% 15.63/15.91 614 -coll(c3,c2,A) | coll(c1,A,c3). [resolve(417,a,117,a)].
% 15.63/15.91 615 coll(c2,c3,c1). [resolve(417,a,116,a)].
% 15.63/15.91 616 coll(c3,c1,c2). [resolve(417,a,115,a)].
% 15.63/15.91 617 -coll(c2,c1,c2) | -coll(c1,c1,c2) | midp(f7(c1,c2,c2,c1,c3,c3,A),c1,A). [resolve(423,a,407,a)].
% 15.63/15.91 636 cong(c3,c1,c3,c2). [resolve(423,a,177,a)].
% 15.63/15.91 637 -midp(c3,A,B) | para(A,c1,B,c2). [resolve(423,a,172,b)].
% 15.63/15.91 639 -midp(A,c1,B) | para(A,c3,B,c2). [resolve(423,a,158,b)].
% 15.63/15.91 640 -midp(A,c1,B) | para(c3,A,c2,B). [resolve(423,a,158,a)].
% 15.63/15.91 641 coll(c5,c5,c2). [resolve(427,a,344,a)].
% 15.63/15.91 649 -coll(c1,c2,c1) | -coll(c2,c2,c1) | midp(f7(c2,c1,c1,c2,c3,c3,A),c2,A). [resolve(408,a,423,a)].
% 15.63/15.91 658 coll(c4,c4,c1). [resolve(435,a,344,a)].
% 15.63/15.91 659 -coll(c1,c8,A) | coll(A,c4,c1). [resolve(435,a,117,b)].
% 15.63/15.91 660 -coll(c1,c8,A) | coll(c4,A,c1). [resolve(435,a,117,a)].
% 15.63/15.91 664 -coll(c8,c4,A) | coll(c1,A,c8). [resolve(436,a,117,a)].
% 15.63/15.91 671 -coll(c8,c5,A) | coll(A,c2,c8). [resolve(440,a,117,b)].
% 15.63/15.91 683 -coll(c4,c9,A) | coll(A,c5,c4). [resolve(447,a,117,b)].
% 15.63/15.91 687 -coll(c9,c5,A) | coll(A,c4,c9). [resolve(448,a,117,b)].
% 15.63/15.91 688 -coll(c9,c5,A) | coll(c4,A,c9). [resolve(448,a,117,a)].
% 15.63/15.91 691 -coll(c5,c5,A) | coll(A,c9,c5). [resolve(599,a,117,b)].
% 15.63/15.91 716 coll(c3,c3,c1). [resolve(612,a,344,a)].
% 15.63/15.91 719 coll(c1,c3,c1). [resolve(612,a,115,a)].
% 15.63/15.91 720 coll(c1,c1,c2). [resolve(615,a,344,a)].
% 15.63/15.91 723 coll(c2,c1,c3). [resolve(615,a,115,a)].
% 15.63/15.91 725 -coll(c2,c1,c2) | midp(f7(c1,c2,c2,c1,c3,c3,A),c1,A). [back_unit_del(617),unit_del(b,720)].
% 15.63/15.91 726 coll(c2,c2,c3). [resolve(616,a,344,a)].
% 15.63/15.91 748 midp(f6(c2,c1,c1,c2,c3,c3),c2,c2). [resolve(414,a,423,a)].
% 15.63/15.91 758 coll(c1,c1,c4). [resolve(658,a,344,a)].
% 15.63/15.91 761 coll(c4,c1,c4). [resolve(658,a,115,a)].
% 15.63/15.91 797 cyclic(c2,c1,c1,c1). [resolve(418,a,398,a)].
% 15.63/15.91 835 perp(c2,c1,c1,c1). [resolve(418,a,383,c),unit_del(a,417)].
% 15.63/15.91 866 -cong(A,B,c3,c2) | cong(A,B,c3,c1). [resolve(418,a,138,b)].
% 15.63/15.91 868 cong(c3,c2,c1,c3). [resolve(418,a,136,a)].
% 15.63/15.91 885 para(c1,c2,c2,c1). [resolve(419,a,423,a)].
% 15.63/15.91 898 para(c2,c1,c1,c2). [resolve(420,a,423,a)].
% 15.63/15.91 930 coll(c3,c1,c3). [resolve(716,a,115,a)].
% 15.63/15.91 934 coll(c3,c1,c1). [resolve(719,a,116,a)].
% 15.63/15.91 935 coll(c2,c2,c1). [resolve(720,a,344,a)].
% 15.63/15.91 938 coll(c1,c2,c1). [resolve(720,a,115,a)].
% 15.63/15.91 939 midp(f7(c2,c1,c1,c2,c3,c3,A),c2,A). [back_unit_del(649),unit_del(a,938),unit_del(b,935)].
% 15.63/15.91 941 coll(c3,c3,c2). [resolve(723,a,344,a)].
% 15.63/15.91 946 -coll(c2,c2,A) | coll(c3,A,c2). [resolve(726,a,117,a)].
% 15.63/15.91 947 coll(c2,c3,c2). [resolve(726,a,115,a)].
% 15.63/15.91 981 coll(c1,c4,c1). [resolve(758,a,115,a)].
% 15.63/15.91 1062 coll(c1,c3,c3). [resolve(930,a,116,a)].
% 15.63/15.91 1067 -coll(c2,c2,A) | coll(c1,A,c2). [resolve(935,a,117,a)].
% 15.63/15.91 1068 coll(c2,c1,c2). [resolve(935,a,115,a)].
% 15.63/15.91 1069 midp(f7(c1,c2,c2,c1,c3,c3,A),c1,A). [back_unit_del(725),unit_del(a,1068)].
% 15.63/15.91 1076 coll(c3,c2,c3). [resolve(941,a,115,a)].
% 15.63/15.91 1081 coll(c3,c2,c2). [resolve(947,a,116,a)].
% 15.63/15.91 1167 coll(c1,c2,c2). [resolve(1068,a,116,a)].
% 15.63/15.91 1173 -coll(c3,c2,A) | coll(c3,A,c3). [resolve(1076,a,117,a)].
% 15.63/15.91 1174 coll(c2,c3,c3). [resolve(1076,a,116,a)].
% 15.63/15.91 1178 -coll(c3,c2,A) | coll(c2,A,c3). [resolve(1081,a,117,a)].
% 15.63/15.91 1200 -coll(c1,c2,A) | coll(c2,A,c1). [resolve(1167,a,117,a)].
% 15.63/15.91 1215 -para(c1,c1,A,B) | para(c3,c3,A,B). [resolve(605,a,120,a)].
% 15.63/15.91 1267 cyclic(c1,c2,c2,c2). [resolve(636,a,398,a)].
% 15.63/15.91 1305 perp(c1,c2,c2,c2). [resolve(636,a,383,c),unit_del(a,616)].
% 15.63/15.91 1354 cong(c3,c1,c2,c3). [resolve(636,a,136,a)].
% 15.63/15.91 1377 cyclic(c1,c2,c1,c1). [resolve(797,a,129,a)].
% 15.63/15.91 1396 -midp(c1,c1,c1) | cong(c2,c1,c2,c1). [resolve(835,a,164,b)].
% 15.63/15.91 1411 cong(c1,c3,c3,c2). [resolve(868,a,137,a)].
% 15.63/15.91 1425 -midp(c1,A,c2) | -coll(c2,A,c1) | midp(c2,A,c1). [resolve(885,a,159,b)].
% 15.63/15.91 1429 para(c1,c2,c1,c2). [resolve(885,a,118,a)].
% 15.63/15.91 1445 para(c2,c1,c2,c1). [resolve(898,a,118,a)].
% 15.63/15.91 1493 cyclic(c2,c1,c2,c2). [resolve(1267,a,129,a)].
% 15.63/15.91 1513 -midp(A,c1,c2) | cong(c1,A,c2,A). [resolve(1305,a,162,a)].
% 15.63/15.91 1527 cong(c2,c3,c3,c1). [resolve(1354,a,137,a)].
% 15.63/15.91 1565 cyclic(c1,c1,c2,c1). [resolve(1377,a,128,a)].
% 15.63/15.91 1581 cong(c1,c3,c2,c3). [resolve(1411,a,136,a)].
% 15.63/15.91 1584 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(1429,a,358,b)].
% 15.63/15.91 1604 -midp(c2,A,c2) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(1445,a,159,b)].
% 15.63/15.91 1643 cyclic(c2,c2,c1,c2). [resolve(1493,a,128,a)].
% 15.63/15.91 1659 cong(c2,c3,c1,c3). [resolve(1527,a,136,a)].
% 15.63/15.91 1676 cyclic(c1,c1,c1,c2). [resolve(1565,a,127,a)].
% 15.63/15.91 1698 perp(c1,c2,c3,c3). [resolve(1581,a,354,a)].
% 15.63/15.91 1719 cyclic(c2,c2,c2,c1). [resolve(1643,a,127,a)].
% 15.63/15.91 1741 perp(c2,c1,c3,c3). [resolve(1659,a,354,a)].
% 15.63/15.91 1766 -cyclic(c1,c1,c1,A) | cyclic(c1,c1,c2,A). [resolve(1676,a,130,a)].
% 15.63/15.91 1789 -perp(A,B,c1,c2) | para(A,B,c3,c3). [resolve(1698,a,123,b)].
% 15.63/15.91 1793 cyclic(c2,c2,c1,c1). [resolve(1719,a,349,a)].
% 15.63/15.91 1834 -midp(c1,c3,c3) | cong(c2,c3,c2,c3). [resolve(1741,a,164,b)].
% 15.63/15.91 1869 -cong(c2,c1,c2,c1) | perp(c1,c2,c2,c1). [resolve(1793,a,355,b)].
% 15.63/15.91 1889 para(c1,c3,c1,c3). [resolve(471,a,469,a)].
% 15.63/15.91 1958 -midp(A,c1,c1) | midp(A,c3,c3). [resolve(1889,a,358,b)].
% 15.63/15.91 1968 para(c1,c3,c3,c1). [resolve(1889,a,118,a)].
% 15.63/15.91 2042 para(c3,c1,c1,c3). [resolve(1968,a,119,a)].
% 15.63/15.91 2058 para(c3,c1,c3,c1). [resolve(2042,a,118,a)].
% 15.63/15.91 2061 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(2058,a,358,b)].
% 15.63/15.91 2089 coll(c2,c9,c5). [resolve(691,a,641,a)].
% 15.63/15.91 2091 coll(c8,c9,c5). [resolve(691,a,601,a)].
% 15.63/15.91 2094 coll(c9,c2,c5). [resolve(2089,a,116,a)].
% 15.63/15.91 2102 coll(c9,c8,c5). [resolve(2091,a,116,a)].
% 15.63/15.91 2106 coll(c9,c5,c2). [resolve(2094,a,115,a)].
% 15.63/15.91 2122 coll(c9,c5,c8). [resolve(2102,a,115,a)].
% 15.63/15.91 2129 coll(c4,c2,c9). [resolve(2106,a,688,a)].
% 15.63/15.91 2130 coll(c2,c4,c9). [resolve(2106,a,687,a)].
% 15.63/15.91 2157 coll(c4,c8,c9). [resolve(2122,a,688,a)].
% 15.63/15.91 2176 coll(c4,c9,c2). [resolve(2129,a,115,a)].
% 15.63/15.91 2179 coll(c2,c9,c4). [resolve(2130,a,115,a)].
% 15.63/15.91 2214 coll(c4,c9,c8). [resolve(2157,a,115,a)].
% 15.63/15.91 2238 coll(c2,c2,c4). [resolve(2176,a,344,a)].
% 15.63/15.91 2242 coll(c4,c4,c2). [resolve(2179,a,344,a)].
% 15.63/15.91 2271 coll(c8,c5,c4). [resolve(2214,a,683,a)].
% 15.63/15.91 2306 coll(c2,c4,c2). [resolve(2238,a,115,a)].
% 15.63/15.91 2311 coll(c4,c2,c4). [resolve(2242,a,115,a)].
% 15.63/15.91 2378 coll(c4,c2,c8). [resolve(2271,a,671,a)].
% 15.63/15.91 2416 coll(c4,c2,c2). [resolve(2306,a,116,a)].
% 15.63/15.91 2464 coll(c4,c8,c2). [resolve(2378,a,115,a)].
% 15.63/15.91 2529 coll(c8,c4,c2). [resolve(2464,a,116,a)].
% 15.63/15.91 2592 coll(c1,c2,c8). [resolve(2529,a,664,a)].
% 15.63/15.91 2650 coll(c1,c8,c2). [resolve(2592,a,115,a)].
% 15.63/15.91 2749 coll(c4,c2,c1). [resolve(2650,a,660,a)].
% 15.63/15.91 2750 coll(c2,c4,c1). [resolve(2650,a,659,a)].
% 15.63/15.91 2905 coll(c4,c1,c2). [resolve(2749,a,115,a)].
% 15.63/15.91 2908 coll(c2,c1,c4). [resolve(2750,a,115,a)].
% 15.63/15.91 3098 para(c2,c4,c2,c4). [resolve(546,a,544,a)].
% 15.63/15.91 3269 -midp(A,c2,c2) | midp(A,c4,c4). [resolve(3098,a,358,b)].
% 15.63/15.91 3277 -midp(c2,A,c2) | -coll(c4,A,c4) | midp(c4,A,c4). [resolve(3098,a,159,b)].
% 15.63/15.91 3279 para(c2,c4,c4,c2). [resolve(3098,a,118,a)].
% 15.63/15.91 3291 -midp(c2,A,c4) | -coll(c4,A,c2) | midp(c4,A,c2). [resolve(3279,a,159,b)].
% 15.63/15.91 3295 para(c4,c2,c2,c4). [resolve(3279,a,119,a)].
% 15.63/15.91 3307 -midp(c4,A,c2) | -coll(c2,A,c4) | midp(c2,A,c4). [resolve(3295,a,159,b)].
% 15.63/15.91 5017 para(c2,c2,c2,c2). [resolve(748,a,357,a)].
% 15.63/15.91 5053 eqangle(c2,c2,A,B,c2,c2,A,B). [resolve(5017,a,153,a)].
% 15.63/15.91 5290 cong(c1,c3,c3,c1). [resolve(866,a,1411,a)].
% 15.63/15.91 5291 cong(c3,c1,c3,c1). [resolve(866,a,636,a)].
% 15.63/15.91 5294 cong(c1,c3,c1,c3). [resolve(5290,a,136,a)].
% 15.63/15.91 5354 perp(c1,c1,c1,c1). [resolve(5291,a,383,c),unit_del(a,934)].
% 15.63/15.91 5401 midp(c3,c1,c1). [resolve(5291,a,176,a),unit_del(a,934)].
% 15.63/15.91 5424 midp(c3,c3,c3). [resolve(5401,a,1958,a)].
% 15.63/15.91 5425 midp(c3,c2,c2). [resolve(5401,a,1584,a)].
% 15.63/15.91 5430 para(c1,c1,c1,c2). [resolve(5401,a,637,a)].
% 15.63/15.91 5534 para(c3,c3,c3,c3). [resolve(5424,a,357,a)].
% 15.63/15.91 5544 cong(c3,c3,c3,c3). [resolve(5424,a,177,a)].
% 15.63/15.91 5552 para(c2,c1,c2,c2). [resolve(5425,a,637,a)].
% 15.63/15.91 5564 para(c2,c2,c1,c2). [resolve(5425,a,420,a)].
% 15.63/15.91 5705 midp(c1,c3,c3). [resolve(5294,a,176,a),unit_del(a,1062)].
% 15.63/15.91 5714 cong(c2,c3,c2,c3). [back_unit_del(1834),unit_del(a,5705)].
% 15.63/15.91 5717 midp(c1,c1,c1). [resolve(5705,a,2061,a)].
% 15.63/15.91 5758 cong(c2,c1,c2,c1). [back_unit_del(1396),unit_del(a,5717)].
% 15.63/15.91 5759 perp(c1,c2,c2,c1). [back_unit_del(1869),unit_del(a,5758)].
% 15.63/15.91 5776 midp(c1,c2,c2). [resolve(5717,a,1584,a)].
% 15.63/15.91 5815 cong(c1,c1,c1,c1). [resolve(5717,a,177,a)].
% 15.63/15.91 5838 para(c3,c1,c1,c2). [resolve(5776,a,422,a)].
% 15.63/15.91 5864 cong(c1,c2,c1,c2). [resolve(5776,a,177,a)].
% 15.63/15.91 5893 cong(c1,c1,c1,f19(c1,c1,c1)). [resolve(5354,a,211,b),unit_del(a,5815)].
% 15.63/15.91 5894 coll(c1,c1,f19(c1,c1,c1)). [resolve(5354,a,210,b),unit_del(a,5815)].
% 15.63/15.91 5982 -midp(c1,A,c1) | -coll(c1,A,c2) | midp(c1,A,c2). [resolve(5430,a,159,b)].
% 15.63/15.91 6085 para(c2,c2,A,A). [resolve(939,a,357,a)].
% 15.63/15.91 6100 -midp(f7(c2,c1,c1,c2,c3,c3,A),B,C) | para(c2,B,A,C). [resolve(939,a,172,a)].
% 15.63/15.91 6103 midp(f7(c2,c1,c1,c2,c3,c3,A),A,c2). [resolve(939,a,125,a)].
% 15.63/15.91 6147 eqangle(c3,c3,A,B,c3,c3,A,B). [resolve(5534,a,153,a)].
% 15.63/15.91 6486 eqangle(c2,c1,A,B,c2,c2,A,B). [resolve(5552,a,153,a)].
% 15.63/15.91 6525 para(c1,c1,A,A). [resolve(1069,a,357,a)].
% 15.63/15.91 6558 -perp(c1,c2,A,B) | perp(c2,c2,A,B). [resolve(5564,a,124,a)].
% 15.63/15.91 6752 midp(c2,c3,c3). [resolve(5714,a,176,a),unit_del(a,1174)].
% 15.63/15.91 6761 midp(c2,c1,c1). [resolve(6752,a,2061,a)].
% 15.63/15.91 6805 midp(c2,c2,c2). [resolve(6761,a,1584,a)].
% 15.63/15.91 6807 para(c3,c2,c2,c1). [resolve(6761,a,640,a)].
% 15.63/15.91 7007 -midp(c2,c2,c1) | cong(c1,c2,c1,c1). [resolve(5759,a,164,b)].
% 15.63/15.91 7274 -perp(c1,c2,A,B) | perp(c3,c1,A,B). [resolve(5838,a,124,a)].
% 15.63/15.91 7546 para(A,A,c2,c2). [resolve(6085,a,119,a)].
% 15.63/15.91 7665 -midp(c3,A,c2) | -coll(c2,A,c1) | midp(c2,A,c1). [resolve(6807,a,159,b)].
% 15.63/15.91 7847 -perp(c2,c2,A,B) | perp(C,C,A,B). [resolve(7546,a,124,a)].
% 15.63/15.91 8431 para(c3,c3,A,A). [resolve(1215,a,6525,a)].
% 15.63/15.91 8443 -para(A,B,c3,c3) | para(A,B,C,C). [resolve(8431,a,120,b)].
% 15.63/15.91 11455 midp(c2,c2,c1). [resolve(1425,a,5776,a),unit_del(a,935)].
% 15.63/15.91 11461 cong(c1,c2,c1,c1). [back_unit_del(7007),unit_del(a,11455)].
% 15.63/15.91 11496 para(c2,c3,c1,c1). [resolve(11455,a,421,a)].
% 15.63/15.91 11524 midp(c2,c1,c2). [resolve(11455,a,125,a)].
% 15.63/15.91 11637 midp(c1,c2,c1). [resolve(11461,a,176,a),unit_del(a,938)].
% 15.63/15.91 11660 para(c3,c1,c1,c1). [resolve(11637,a,422,a)].
% 15.63/15.91 11684 midp(c1,c1,c2). [resolve(11637,a,125,a)].
% 15.63/15.91 11707 para(c1,c3,c2,c2). [resolve(11684,a,639,a)].
% 15.63/15.91 11764 para(c1,c1,c2,c3). [resolve(11496,a,119,a)].
% 15.63/15.91 11867 para(c1,c1,c3,c1). [resolve(11660,a,119,a)].
% 15.63/15.91 11898 -midp(c1,A,c2) | -coll(c3,A,c2) | midp(c3,A,c2). [resolve(11707,a,159,b)].
% 15.63/15.91 11903 para(c2,c2,c1,c3). [resolve(11707,a,119,a)].
% 15.63/15.91 11931 para(c3,c3,c2,c3). [resolve(11764,a,1215,a)].
% 15.63/15.91 11964 para(c3,c3,c3,c1). [resolve(11867,a,1215,a)].
% 15.63/15.91 11996 -midp(c2,A,c1) | -coll(c2,A,c3) | midp(c2,A,c3). [resolve(11903,a,159,b)].
% 15.63/15.91 12023 para(c2,c3,c3,c3). [resolve(11931,a,119,a)].
% 15.63/15.91 12037 para(c3,c1,c3,c3). [resolve(11964,a,119,a)].
% 15.63/15.91 12062 -midp(c2,A,c3) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(12023,a,159,b)].
% 15.63/15.91 12068 -midp(c3,A,c3) | -coll(c1,A,c3) | midp(c1,A,c3). [resolve(12037,a,159,b)].
% 15.63/15.91 20131 midp(c2,c4,c4). [resolve(3269,a,6805,a)].
% 15.63/15.91 20132 midp(c1,c4,c4). [resolve(3269,a,5776,a)].
% 15.63/15.91 20146 cong(c2,c4,c2,c4). [resolve(20131,a,177,a)].
% 15.63/15.91 20161 cong(c1,c4,c1,c4). [resolve(20132,a,177,a)].
% 15.63/15.91 20214 cong(c2,c4,c4,c2). [resolve(20146,a,136,a)].
% 15.63/15.91 20247 midp(c4,c1,c4). [resolve(3277,a,11524,a),unit_del(a,761)].
% 15.63/15.91 20248 midp(c4,c2,c4). [resolve(3277,a,6805,a),unit_del(a,2311)].
% 15.63/15.91 20282 midp(c4,c4,c1). [resolve(20247,a,125,a)].
% 15.63/15.91 20300 midp(c4,c4,c2). [resolve(20248,a,125,a)].
% 15.63/15.91 20330 cong(c4,c4,c4,c1). [resolve(20282,a,177,a)].
% 15.63/15.91 20345 cong(c4,c4,c4,c2). [resolve(20300,a,177,a)].
% 15.63/15.91 20407 cong(c4,c2,c2,c4). [resolve(20214,a,137,a)].
% 15.63/15.91 20513 cyclic(c4,c1,c1,c1). [resolve(20330,a,398,a)].
% 15.63/15.91 20527 cyclic(c4,c2,c2,c2). [resolve(20345,a,398,a)].
% 15.63/15.91 20575 cong(c4,c2,c4,c2). [resolve(20407,a,136,a)].
% 15.63/15.91 20712 cyclic(c1,c4,c1,c1). [resolve(20513,a,129,a)].
% 15.63/15.91 20731 cyclic(c2,c4,c2,c2). [resolve(20527,a,129,a)].
% 15.63/15.91 20782 midp(c4,c2,c2). [resolve(20575,a,176,a),unit_del(a,2416)].
% 15.63/15.91 20786 midp(c2,c2,c4). [resolve(20782,a,3307,a),unit_del(a,2238)].
% 15.63/15.91 20822 midp(c2,c4,c2). [resolve(20786,a,125,a)].
% 15.63/15.91 20855 midp(c1,c4,c1). [resolve(20822,a,1604,a),unit_del(a,981)].
% 15.63/15.91 20901 midp(c1,c1,c4). [resolve(20855,a,125,a)].
% 15.63/15.91 21113 cyclic(c1,c1,c4,c1). [resolve(20712,a,128,a)].
% 15.63/15.91 21170 cyclic(c2,c2,c4,c2). [resolve(20731,a,128,a)].
% 15.63/15.91 21526 cyclic(c1,c1,c1,c4). [resolve(21113,a,127,a)].
% 15.63/15.91 21583 -cyclic(c2,c2,c4,A) | cyclic(c2,c4,A,c2). [resolve(21170,a,130,b)].
% 15.63/15.91 21584 cyclic(c2,c2,c2,c4). [resolve(21170,a,127,a)].
% 15.63/15.91 21761 cyclic(c1,c1,c2,c4). [resolve(21526,a,1766,a)].
% 15.63/15.91 21816 -cyclic(c2,c2,c2,A) | cyclic(c2,c2,c4,A). [resolve(21584,a,130,a)].
% 15.63/15.91 21894 perp(c2,c1,c1,c4). [resolve(21761,a,166,c),unit_del(a,5864),unit_del(b,20161)].
% 15.63/15.91 22024 cong(c2,c1,c2,c4). [resolve(21894,a,164,b),unit_del(a,20901)].
% 15.63/15.91 22217 midp(c2,c1,c4). [resolve(22024,a,176,a),unit_del(a,2908)].
% 15.63/15.91 22223 midp(c4,c1,c2). [resolve(22217,a,3291,a),unit_del(a,2905)].
% 15.63/15.91 22241 cong(c1,c4,c2,c4). [resolve(22223,a,1513,a)].
% 15.63/15.91 22646 perp(c1,c2,c4,c4). [resolve(22241,a,354,a)].
% 15.63/15.91 22821 perp(c4,c4,c1,c2). [resolve(22646,a,122,a)].
% 15.63/15.91 22958 -perp(c1,c2,A,B) | para(c4,c4,A,B). [resolve(22821,a,123,a)].
% 15.63/15.91 27409 -coll(c2,c2,A) | cyclic(c2,A,c2,c2). [resolve(5053,a,156,a)].
% 15.63/15.91 29737 midp(c1,c1,f19(c1,c1,c1)). [resolve(5893,a,176,a),unit_del(a,5894)].
% 15.63/15.91 29947 para(c2,A,A,c2). [resolve(6103,a,6100,a)].
% 15.63/15.91 29950 para(c2,A,c2,A). [resolve(29947,a,118,a)].
% 15.63/15.91 29954 coll(c2,A,A). [resolve(29950,a,175,a)].
% 15.63/15.91 29958 coll(A,A,c2). [resolve(29954,a,344,a)].
% 15.63/15.91 29961 coll(A,c2,A). [resolve(29954,a,116,a)].
% 15.63/15.91 29964 coll(c2,c2,A). [resolve(29958,a,344,a)].
% 15.63/15.91 29967 cyclic(c2,A,c2,c2). [back_unit_del(27409),unit_del(a,29964)].
% 15.63/15.91 29995 coll(c1,A,c2). [back_unit_del(1067),unit_del(a,29964)].
% 15.63/15.91 29999 coll(c3,A,c2). [back_unit_del(946),unit_del(a,29964)].
% 15.63/15.91 30013 -midp(c1,A,c1) | midp(c1,A,c2). [back_unit_del(5982),unit_del(b,29995)].
% 15.63/15.91 30017 -midp(c1,A,c2) | midp(c3,A,c2). [back_unit_del(11898),unit_del(b,29999)].
% 15.63/15.91 30027 -coll(A,c2,B) | coll(A,B,A). [resolve(29961,a,117,a)].
% 15.63/15.91 30030 coll(A,B,c2). [resolve(29964,a,117,b),unit_del(a,29964)].
% 15.63/15.91 30149 coll(c1,c2,A). [resolve(29995,a,115,a)].
% 15.63/15.91 30182 coll(c2,A,c1). [back_unit_del(1200),unit_del(a,30149)].
% 15.63/15.91 30191 -midp(c3,A,c2) | midp(c2,A,c1). [back_unit_del(7665),unit_del(b,30182)].
% 15.63/15.91 30264 coll(c3,c2,A). [resolve(29999,a,115,a)].
% 15.63/15.91 30295 coll(c2,A,c3). [back_unit_del(1178),unit_del(a,30264)].
% 15.63/15.91 30297 coll(c3,A,c3). [back_unit_del(1173),unit_del(a,30264)].
% 15.63/15.91 30299 coll(c1,A,c3). [back_unit_del(614),unit_del(a,30264)].
% 15.63/15.91 30302 -midp(c2,A,c1) | midp(c2,A,c3). [back_unit_del(11996),unit_del(b,30295)].
% 15.63/15.91 30310 -midp(c2,A,c3) | midp(c3,A,c3). [back_unit_del(12062),unit_del(b,30297)].
% 15.63/15.91 30317 -midp(c3,A,c3) | midp(c1,A,c3). [back_unit_del(12068),unit_del(b,30299)].
% 15.63/15.91 30424 coll(A,c2,B). [resolve(30030,a,115,a)].
% 15.63/15.91 30426 coll(A,B,A). [back_unit_del(30027),unit_del(a,30424)].
% 15.63/15.91 30556 midp(A,c3,A) | -cong(c3,c3,c3,A). [resolve(6147,a,225,b),unit_del(a,30426),unit_del(c,5544)].
% 15.63/15.91 30630 cyclic(c2,c2,A,c2). [resolve(29967,a,128,a)].
% 15.63/15.91 30671 cyclic(c2,c2,c2,A). [resolve(30630,a,127,a)].
% 15.63/15.91 30672 cyclic(c2,c2,c4,A). [back_unit_del(21816),unit_del(a,30671)].
% 15.63/15.91 30677 cyclic(c2,c4,A,c2). [back_unit_del(21583),unit_del(a,30672)].
% 15.63/15.91 30783 cyclic(c2,c2,A,B). [resolve(30671,a,130,b),unit_del(a,30671)].
% 15.63/15.91 30785 cyclic(c2,c4,A,B). [resolve(30672,a,130,b),unit_del(a,30783)].
% 15.63/15.91 30799 cyclic(c4,A,B,c2). [resolve(30677,a,130,b),unit_del(a,30785)].
% 15.63/15.91 30988 cyclic(c2,A,B,C). [resolve(30783,a,130,b),unit_del(a,30783)].
% 15.63/15.91 30994 cyclic(c4,A,B,C). [resolve(30785,a,130,b),unit_del(a,30988)].
% 15.63/15.91 31029 cyclic(A,B,C,c2). [resolve(30799,a,130,b),unit_del(a,30994)].
% 15.63/15.91 31030 cyclic(A,B,c2,C). [resolve(30799,a,130,a),unit_del(a,30994)].
% 15.63/15.91 31056 cong(c1,A,c2,A). [resolve(6486,a,351,c),unit_del(a,31029),unit_del(b,31030)].
% 15.63/15.91 31174 perp(c1,c2,A,B). [resolve(31056,a,165,b),unit_del(a,31056)].
% 15.63/15.91 31177 para(c4,c4,A,B). [back_unit_del(22958),unit_del(a,31174)].
% 15.63/15.91 31195 perp(c3,c1,A,B). [back_unit_del(7274),unit_del(a,31174)].
% 15.63/15.91 31197 perp(c2,c2,A,B). [back_unit_del(6558),unit_del(a,31174)].
% 15.63/15.91 31215 perp(A,A,B,C). [back_unit_del(7847),unit_del(a,31197)].
% 15.63/15.91 31299 perp(A,B,c1,c2). [resolve(31174,a,122,a)].
% 15.63/15.91 31306 para(A,B,c3,c3). [back_unit_del(1789),unit_del(a,31299)].
% 15.63/15.91 31310 para(A,B,C,C). [back_unit_del(8443),unit_del(a,31306)].
% 15.63/15.91 31316 para(A,B,C,D). [resolve(31177,a,120,b),unit_del(a,31310)].
% 15.63/15.91 31318 -midp(A,B,C) | midp(A,D,E). [back_unit_del(173),unit_del(b,31316),unit_del(c,31316)].
% 15.63/15.91 31343 -midp(c1,A,B) | cong(c3,A,c3,B). [resolve(31195,a,164,b)].
% 15.63/15.91 31381 perp(A,B,C,C). [resolve(31215,a,122,a)].
% 15.63/15.91 31439 -midp(A,B,C) | cong(B,A,C,A). [resolve(31381,a,162,a)].
% 15.63/15.91 31459 midp(c1,f19(c1,c1,c1),c1). [resolve(29737,a,125,a)].
% 15.63/15.91 32866 midp(c1,f19(c1,c1,c1),c2). [resolve(30013,a,31459,a)].
% 15.63/15.91 32870 midp(c3,f19(c1,c1,c1),c2). [resolve(30017,a,32866,a)].
% 15.63/15.91 32883 midp(c2,f19(c1,c1,c1),c1). [resolve(30191,a,32870,a)].
% 15.63/15.91 32901 midp(c2,f19(c1,c1,c1),c3). [resolve(30302,a,32883,a)].
% 15.63/15.91 32911 midp(c3,f19(c1,c1,c1),c3). [resolve(30310,a,32901,a)].
% 15.63/15.91 32920 midp(c1,f19(c1,c1,c1),c3). [resolve(30317,a,32911,a)].
% 15.63/15.91 32922 midp(c1,c3,f19(c1,c1,c1)). [resolve(32920,a,125,a)].
% 15.63/15.91 32979 midp(c1,A,B). [resolve(31318,a,32922,a)].
% 15.63/15.91 33035 cong(c3,A,c3,B). [back_unit_del(31343),unit_del(a,32979)].
% 15.63/15.91 33063 midp(A,c3,A). [back_unit_del(30556),unit_del(b,33035)].
% 15.63/15.91 33309 midp(A,B,C). [resolve(33063,a,31318,a)].
% 15.63/15.91 33337 cong(A,B,C,B). [back_unit_del(31439),unit_del(a,33309)].
% 15.63/15.91 33405 perp(A,B,C,D). [back_unit_del(165),unit_del(a,33337),unit_del(b,33337)].
% 15.63/15.91 33406 $F. [resolve(33405,a,221,a)].
% 15.63/15.91
% 15.63/15.91 % SZS output end Refutation
% 15.63/15.91 ============================== end of proof ==========================
% 15.63/15.91
% 15.63/15.91 ============================== STATISTICS ============================
% 15.63/15.91
% 15.63/15.91 Given=17963. Generated=267023. Kept=33259. proofs=1.
% 15.63/15.91 Usable=15041. Sos=5677. Demods=0. Limbo=68, Disabled=12689. Hints=0.
% 15.63/15.91 Megabytes=19.00.
% 15.63/15.91 User_CPU=14.71, System_CPU=0.15, Wall_clock=15.
% 15.63/15.91
% 15.63/15.91 ============================== end of statistics =====================
% 15.63/15.91
% 15.63/15.91 ============================== end of search =========================
% 15.63/15.91
% 15.63/15.91 THEOREM PROVED
% 15.63/15.91 % SZS status Theorem
% 15.63/15.91
% 15.63/15.91 Exiting with 1 proof.
% 15.63/15.91
% 15.63/15.91 Process 18511 exit (max_proofs) Sat Jun 18 18:55:44 2022
% 15.63/15.92 Prover9 interrupted
%------------------------------------------------------------------------------