TSTP Solution File: GEO640+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO640+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 22.55s 22.82s
% Output : Refutation 22.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO640+1 : TPTP v8.1.0. Released v7.5.0.
% 0.14/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 19:27:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.88/1.18 ============================== Prover9 ===============================
% 0.88/1.18 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.18 Process 16903 was started by sandbox2 on n013.cluster.edu,
% 0.88/1.18 Fri Jun 17 19:28:00 2022
% 0.88/1.18 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_16749_n013.cluster.edu".
% 0.88/1.18 ============================== end of head ===========================
% 0.88/1.18
% 0.88/1.18 ============================== INPUT =================================
% 0.88/1.18
% 0.88/1.18 % Reading from file /tmp/Prover9_16749_n013.cluster.edu
% 0.88/1.18
% 0.88/1.18 set(prolog_style_variables).
% 0.88/1.18 set(auto2).
% 0.88/1.18 % set(auto2) -> set(auto).
% 0.88/1.18 % set(auto) -> set(auto_inference).
% 0.88/1.18 % set(auto) -> set(auto_setup).
% 0.88/1.18 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.18 % set(auto) -> set(auto_limits).
% 0.88/1.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.18 % set(auto) -> set(auto_denials).
% 0.88/1.18 % set(auto) -> set(auto_process).
% 0.88/1.18 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.18 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.18 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.18 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.18 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.18 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.18 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.18 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.18 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.18 % set(auto2) -> assign(stats, some).
% 0.88/1.18 % set(auto2) -> clear(echo_input).
% 0.88/1.18 % set(auto2) -> set(quiet).
% 0.88/1.18 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.18 % set(auto2) -> clear(print_given).
% 0.88/1.18 assign(lrs_ticks,-1).
% 0.88/1.18 assign(sos_limit,10000).
% 0.88/1.18 assign(order,kbo).
% 0.88/1.18 set(lex_order_vars).
% 0.88/1.18 clear(print_given).
% 0.88/1.18
% 0.88/1.18 % formulas(sos). % not echoed (95 formulas)
% 0.88/1.18
% 0.88/1.18 ============================== end of input ==========================
% 0.88/1.18
% 0.88/1.18 % From the command line: assign(max_seconds, 300).
% 0.88/1.18
% 0.88/1.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.18
% 0.88/1.18 % Formulas that are not ordinary clauses:
% 0.88/1.18 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.18 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.18 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].
% 0.88/1.18 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.18 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.18 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].
% 0.88/1.19 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].
% 0.88/1.19 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].
% 0.88/1.19 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].
% 0.88/1.19 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].
% 0.88/1.19 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].
% 0.88/1.19 95 -(all Q4 all Q1 all Q3 all Q0 all Q2 all P0 all P1 all P2 all P3 all P4 all O0 all O4 all O3 all O2 all O1 all M0 all M4 all M3 all M2 all M1 all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 all NWPNT9 all NWPNT01 (coll(P0,Q4,Q1) & coll(P0,Q0,Q2) & coll(P1,Q1,Q3) & coll(P1,Q0,Q2) & coll(P2,Q1,Q3) & coll(P2,Q4,Q2) & coll(P3,Q3,Q0) & coll(P3,Q4,Q2) & coll(P4,Q4,Q1) & coll(P4,Q3,Q0) & circle(O0,Q0,P0,P4) & circle(O4,P4,P3,Q4) & circle(O3,P3,P2,Q3) & circle(O2,P1,P2,Q2) & circle(O1,P1,Q1,P0) & circle(O0,Q0,M0,NWPNT1) & circle(O1,Q1,M0,NWPNT2) & circle(O0,Q0,M4,NWPNT3) & circle(O4,Q4,M4,NWPNT4) & circle(O4,Q4,M3,NWPNT5) & circle(O3,Q3,M3,NWPNT6) & circle(O3,Q3,M2,NWPNT7) & circle(O2,Q2,M2,NWPNT8) & circle(O2,Q2,M1,NWPNT9) & circle(O1,Q1,M1,NWPNT01) -> cyclic(M4,M3,M2,M1))) # label(exemplo6GDDFULL81109106) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.88/1.19
% 0.88/1.19 ============================== end of process non-clausal formulas ===
% 0.88/1.19
% 0.88/1.19 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.19
% 0.88/1.19 ============================== PREDICATE ELIMINATION =================
% 0.88/1.19 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)].
% 0.88/1.19 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 100 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.88/1.19 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)].
% 0.88/1.19 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.88/1.19 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)].
% 0.88/1.19 103 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 104 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 105 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 106 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 107 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 108 -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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 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)].
% 0.88/1.19 109 circle(c11,c4,c6,c10) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c11,c4,c4,A) | eqangle(c4,A,c4,c6,c10,c4,c10,c6). [resolve(109,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c4,A,c4,c6,c10,c4,c10,c6) | perp(c11,c4,c4,A). [resolve(109,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c6,c10) | eqangle(c4,c6,c4,c10,c11,c6,c11,A). [resolve(109,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c6,c10) | -eqangle(c4,c6,c4,c10,c11,c6,c11,A) | midp(A,c6,c10). [resolve(109,a,100,a)].
% 0.90/1.19 Derived: -coll(c11,c4,c10) | perp(c4,c6,c6,c10). [resolve(109,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c4,c6,c10,c11),c4,c4,c11). [resolve(109,a,102,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c6) | B = c11 | coll(f13(c4,c6,c10,A,c11,B),c4,c10). [resolve(109,a,103,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c6) | B = c11 | cong(f13(c4,c6,c10,A,c11,B),B,B,c4). [resolve(109,a,104,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c6) | B = c11 | coll(f14(c4,c6,c10,A,c11,B),c6,A). [resolve(109,a,105,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c6) | B = c11 | cong(f14(c4,c6,c10,A,c11,B),B,B,c4). [resolve(109,a,106,a)].
% 0.90/1.19 110 circle(c12,c10,c9,c1) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c12,c10,c10,A) | eqangle(c10,A,c10,c9,c1,c10,c1,c9). [resolve(110,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c10,A,c10,c9,c1,c10,c1,c9) | perp(c12,c10,c10,A). [resolve(110,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c9,c1) | eqangle(c10,c9,c10,c1,c12,c9,c12,A). [resolve(110,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c9,c1) | -eqangle(c10,c9,c10,c1,c12,c9,c12,A) | midp(A,c9,c1). [resolve(110,a,100,a)].
% 0.90/1.19 Derived: -coll(c12,c10,c1) | perp(c10,c9,c9,c1). [resolve(110,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c10,c9,c1,c12),c10,c10,c12). [resolve(110,a,102,a)].
% 0.90/1.19 Derived: -cong(c12,c10,c12,A) | -cong(B,c10,B,c9) | B = c12 | coll(f13(c10,c9,c1,A,c12,B),c10,c1). [resolve(110,a,103,a)].
% 0.90/1.19 Derived: -cong(c12,c10,c12,A) | -cong(B,c10,B,c9) | B = c12 | cong(f13(c10,c9,c1,A,c12,B),B,B,c10). [resolve(110,a,104,a)].
% 0.90/1.19 Derived: -cong(c12,c10,c12,A) | -cong(B,c10,B,c9) | B = c12 | coll(f14(c10,c9,c1,A,c12,B),c9,A). [resolve(110,a,105,a)].
% 0.90/1.19 Derived: -cong(c12,c10,c12,A) | -cong(B,c10,B,c9) | B = c12 | cong(f14(c10,c9,c1,A,c12,B),B,B,c10). [resolve(110,a,106,a)].
% 0.90/1.19 111 circle(c13,c9,c8,c3) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c13,c9,c9,A) | eqangle(c9,A,c9,c8,c3,c9,c3,c8). [resolve(111,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c9,A,c9,c8,c3,c9,c3,c8) | perp(c13,c9,c9,A). [resolve(111,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c8,c3) | eqangle(c9,c8,c9,c3,c13,c8,c13,A). [resolve(111,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c8,c3) | -eqangle(c9,c8,c9,c3,c13,c8,c13,A) | midp(A,c8,c3). [resolve(111,a,100,a)].
% 0.90/1.19 Derived: -coll(c13,c9,c3) | perp(c9,c8,c8,c3). [resolve(111,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c9,c8,c3,c13),c9,c9,c13). [resolve(111,a,102,a)].
% 0.90/1.19 Derived: -cong(c13,c9,c13,A) | -cong(B,c9,B,c8) | B = c13 | coll(f13(c9,c8,c3,A,c13,B),c9,c3). [resolve(111,a,103,a)].
% 0.90/1.19 Derived: -cong(c13,c9,c13,A) | -cong(B,c9,B,c8) | B = c13 | cong(f13(c9,c8,c3,A,c13,B),B,B,c9). [resolve(111,a,104,a)].
% 0.90/1.19 Derived: -cong(c13,c9,c13,A) | -cong(B,c9,B,c8) | B = c13 | coll(f14(c9,c8,c3,A,c13,B),c8,A). [resolve(111,a,105,a)].
% 0.90/1.19 Derived: -cong(c13,c9,c13,A) | -cong(B,c9,B,c8) | B = c13 | cong(f14(c9,c8,c3,A,c13,B),B,B,c9). [resolve(111,a,106,a)].
% 0.90/1.19 112 circle(c14,c7,c8,c5) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c14,c7,c7,A) | eqangle(c7,A,c7,c8,c5,c7,c5,c8). [resolve(112,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c7,A,c7,c8,c5,c7,c5,c8) | perp(c14,c7,c7,A). [resolve(112,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c8,c5) | eqangle(c7,c8,c7,c5,c14,c8,c14,A). [resolve(112,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c8,c5) | -eqangle(c7,c8,c7,c5,c14,c8,c14,A) | midp(A,c8,c5). [resolve(112,a,100,a)].
% 0.90/1.19 Derived: -coll(c14,c7,c5) | perp(c7,c8,c8,c5). [resolve(112,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c7,c8,c5,c14),c7,c7,c14). [resolve(112,a,102,a)].
% 0.90/1.19 Derived: -cong(c14,c7,c14,A) | -cong(B,c7,B,c8) | B = c14 | coll(f13(c7,c8,c5,A,c14,B),c7,c5). [resolve(112,a,103,a)].
% 0.90/1.19 Derived: -cong(c14,c7,c14,A) | -cong(B,c7,B,c8) | B = c14 | cong(f13(c7,c8,c5,A,c14,B),B,B,c7). [resolve(112,a,104,a)].
% 0.90/1.19 Derived: -cong(c14,c7,c14,A) | -cong(B,c7,B,c8) | B = c14 | coll(f14(c7,c8,c5,A,c14,B),c8,A). [resolve(112,a,105,a)].
% 0.90/1.19 Derived: -cong(c14,c7,c14,A) | -cong(B,c7,B,c8) | B = c14 | cong(f14(c7,c8,c5,A,c14,B),B,B,c7). [resolve(112,a,106,a)].
% 0.90/1.19 113 circle(c15,c7,c2,c6) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c15,c7,c7,A) | eqangle(c7,A,c7,c2,c6,c7,c6,c2). [resolve(113,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c7,A,c7,c2,c6,c7,c6,c2) | perp(c15,c7,c7,A). [resolve(113,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c2,c6) | eqangle(c7,c2,c7,c6,c15,c2,c15,A). [resolve(113,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c2,c6) | -eqangle(c7,c2,c7,c6,c15,c2,c15,A) | midp(A,c2,c6). [resolve(113,a,100,a)].
% 0.90/1.19 Derived: -coll(c15,c7,c6) | perp(c7,c2,c2,c6). [resolve(113,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c7,c2,c6,c15),c7,c7,c15). [resolve(113,a,102,a)].
% 0.90/1.19 Derived: -cong(c15,c7,c15,A) | -cong(B,c7,B,c2) | B = c15 | coll(f13(c7,c2,c6,A,c15,B),c7,c6). [resolve(113,a,103,a)].
% 0.90/1.19 Derived: -cong(c15,c7,c15,A) | -cong(B,c7,B,c2) | B = c15 | cong(f13(c7,c2,c6,A,c15,B),B,B,c7). [resolve(113,a,104,a)].
% 0.90/1.19 Derived: -cong(c15,c7,c15,A) | -cong(B,c7,B,c2) | B = c15 | coll(f14(c7,c2,c6,A,c15,B),c2,A). [resolve(113,a,105,a)].
% 0.90/1.19 Derived: -cong(c15,c7,c15,A) | -cong(B,c7,B,c2) | B = c15 | cong(f14(c7,c2,c6,A,c15,B),B,B,c7). [resolve(113,a,106,a)].
% 0.90/1.19 114 circle(c11,c4,c16,c21) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c11,c4,c4,A) | eqangle(c4,A,c4,c16,c21,c4,c21,c16). [resolve(114,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c4,A,c4,c16,c21,c4,c21,c16) | perp(c11,c4,c4,A). [resolve(114,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c16,c21) | eqangle(c4,c16,c4,c21,c11,c16,c11,A). [resolve(114,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c16,c21) | -eqangle(c4,c16,c4,c21,c11,c16,c11,A) | midp(A,c16,c21). [resolve(114,a,100,a)].
% 0.90/1.19 Derived: -coll(c11,c4,c21) | perp(c4,c16,c16,c21). [resolve(114,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c4,c16,c21,c11),c4,c4,c11). [resolve(114,a,102,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c16) | B = c11 | coll(f13(c4,c16,c21,A,c11,B),c4,c21). [resolve(114,a,103,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c16) | B = c11 | cong(f13(c4,c16,c21,A,c11,B),B,B,c4). [resolve(114,a,104,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c16) | B = c11 | coll(f14(c4,c16,c21,A,c11,B),c16,A). [resolve(114,a,105,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c16) | B = c11 | cong(f14(c4,c16,c21,A,c11,B),B,B,c4). [resolve(114,a,106,a)].
% 0.90/1.19 115 circle(c15,c2,c16,c22) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c15,c2,c2,A) | eqangle(c2,A,c2,c16,c22,c2,c22,c16). [resolve(115,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c2,A,c2,c16,c22,c2,c22,c16) | perp(c15,c2,c2,A). [resolve(115,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c16,c22) | eqangle(c2,c16,c2,c22,c15,c16,c15,A). [resolve(115,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c16,c22) | -eqangle(c2,c16,c2,c22,c15,c16,c15,A) | midp(A,c16,c22). [resolve(115,a,100,a)].
% 0.90/1.19 Derived: -coll(c15,c2,c22) | perp(c2,c16,c16,c22). [resolve(115,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c2,c16,c22,c15),c2,c2,c15). [resolve(115,a,102,a)].
% 0.90/1.19 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c16) | B = c15 | coll(f13(c2,c16,c22,A,c15,B),c2,c22). [resolve(115,a,103,a)].
% 0.90/1.19 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c16) | B = c15 | cong(f13(c2,c16,c22,A,c15,B),B,B,c2). [resolve(115,a,104,a)].
% 0.90/1.19 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c16) | B = c15 | coll(f14(c2,c16,c22,A,c15,B),c16,A). [resolve(115,a,105,a)].
% 0.90/1.19 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c16) | B = c15 | cong(f14(c2,c16,c22,A,c15,B),B,B,c2). [resolve(115,a,106,a)].
% 0.90/1.19 116 circle(c11,c4,c17,c23) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c11,c4,c4,A) | eqangle(c4,A,c4,c17,c23,c4,c23,c17). [resolve(116,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c4,A,c4,c17,c23,c4,c23,c17) | perp(c11,c4,c4,A). [resolve(116,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c17,c23) | eqangle(c4,c17,c4,c23,c11,c17,c11,A). [resolve(116,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c17,c23) | -eqangle(c4,c17,c4,c23,c11,c17,c11,A) | midp(A,c17,c23). [resolve(116,a,100,a)].
% 0.90/1.19 Derived: -coll(c11,c4,c23) | perp(c4,c17,c17,c23). [resolve(116,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c4,c17,c23,c11),c4,c4,c11). [resolve(116,a,102,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c17) | B = c11 | coll(f13(c4,c17,c23,A,c11,B),c4,c23). [resolve(116,a,103,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c17) | B = c11 | cong(f13(c4,c17,c23,A,c11,B),B,B,c4). [resolve(116,a,104,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c17) | B = c11 | coll(f14(c4,c17,c23,A,c11,B),c17,A). [resolve(116,a,105,a)].
% 0.90/1.19 Derived: -cong(c11,c4,c11,A) | -cong(B,c4,B,c17) | B = c11 | cong(f14(c4,c17,c23,A,c11,B),B,B,c4). [resolve(116,a,106,a)].
% 0.90/1.19 117 circle(c12,c1,c17,c24) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c12,c1,c1,A) | eqangle(c1,A,c1,c17,c24,c1,c24,c17). [resolve(117,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c1,A,c1,c17,c24,c1,c24,c17) | perp(c12,c1,c1,A). [resolve(117,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c17,c24) | eqangle(c1,c17,c1,c24,c12,c17,c12,A). [resolve(117,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c17,c24) | -eqangle(c1,c17,c1,c24,c12,c17,c12,A) | midp(A,c17,c24). [resolve(117,a,100,a)].
% 0.90/1.19 Derived: -coll(c12,c1,c24) | perp(c1,c17,c17,c24). [resolve(117,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c1,c17,c24,c12),c1,c1,c12). [resolve(117,a,102,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c17) | B = c12 | coll(f13(c1,c17,c24,A,c12,B),c1,c24). [resolve(117,a,103,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c17) | B = c12 | cong(f13(c1,c17,c24,A,c12,B),B,B,c1). [resolve(117,a,104,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c17) | B = c12 | coll(f14(c1,c17,c24,A,c12,B),c17,A). [resolve(117,a,105,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c17) | B = c12 | cong(f14(c1,c17,c24,A,c12,B),B,B,c1). [resolve(117,a,106,a)].
% 0.90/1.19 118 circle(c12,c1,c18,c25) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c12,c1,c1,A) | eqangle(c1,A,c1,c18,c25,c1,c25,c18). [resolve(118,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c1,A,c1,c18,c25,c1,c25,c18) | perp(c12,c1,c1,A). [resolve(118,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c18,c25) | eqangle(c1,c18,c1,c25,c12,c18,c12,A). [resolve(118,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c18,c25) | -eqangle(c1,c18,c1,c25,c12,c18,c12,A) | midp(A,c18,c25). [resolve(118,a,100,a)].
% 0.90/1.19 Derived: -coll(c12,c1,c25) | perp(c1,c18,c18,c25). [resolve(118,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c1,c18,c25,c12),c1,c1,c12). [resolve(118,a,102,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c18) | B = c12 | coll(f13(c1,c18,c25,A,c12,B),c1,c25). [resolve(118,a,103,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c18) | B = c12 | cong(f13(c1,c18,c25,A,c12,B),B,B,c1). [resolve(118,a,104,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c18) | B = c12 | coll(f14(c1,c18,c25,A,c12,B),c18,A). [resolve(118,a,105,a)].
% 0.90/1.19 Derived: -cong(c12,c1,c12,A) | -cong(B,c1,B,c18) | B = c12 | cong(f14(c1,c18,c25,A,c12,B),B,B,c1). [resolve(118,a,106,a)].
% 0.90/1.19 119 circle(c13,c3,c18,c26) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.19 Derived: -perp(c13,c3,c3,A) | eqangle(c3,A,c3,c18,c26,c3,c26,c18). [resolve(119,a,96,a)].
% 0.90/1.19 Derived: -eqangle(c3,A,c3,c18,c26,c3,c26,c18) | perp(c13,c3,c3,A). [resolve(119,a,98,a)].
% 0.90/1.19 Derived: -midp(A,c18,c26) | eqangle(c3,c18,c3,c26,c13,c18,c13,A). [resolve(119,a,99,a)].
% 0.90/1.19 Derived: -coll(A,c18,c26) | -eqangle(c3,c18,c3,c26,c13,c18,c13,A) | midp(A,c18,c26). [resolve(119,a,100,a)].
% 0.90/1.19 Derived: -coll(c13,c3,c26) | perp(c3,c18,c18,c26). [resolve(119,a,101,a)].
% 0.90/1.19 Derived: perp(f12(c3,c18,c26,c13),c3,c3,c13). [resolve(119,a,102,a)].
% 0.90/1.19 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c18) | B = c13 | coll(f13(c3,c18,c26,A,c13,B),c3,c26). [resolve(119,a,103,a)].
% 0.90/1.19 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c18) | B = c13 | cong(f13(c3,c18,c26,A,c13,B),B,B,c3). [resolve(119,a,104,a)].
% 0.90/1.19 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c18) | B = c13 | coll(f14(c3,c18,c26,A,c13,B),c18,A). [resolve(119,a,105,a)].
% 0.90/1.19 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c18) | B = c13 | cong(f14(c3,c18,c26,A,c13,B),B,B,c3). [resolve(119,a,106,a)].
% 0.90/1.19 120 circle(c13,c3,c19,c27) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.20 Derived: -perp(c13,c3,c3,A) | eqangle(c3,A,c3,c19,c27,c3,c27,c19). [resolve(120,a,96,a)].
% 0.90/1.20 Derived: -eqangle(c3,A,c3,c19,c27,c3,c27,c19) | perp(c13,c3,c3,A). [resolve(120,a,98,a)].
% 0.90/1.20 Derived: -midp(A,c19,c27) | eqangle(c3,c19,c3,c27,c13,c19,c13,A). [resolve(120,a,99,a)].
% 0.90/1.20 Derived: -coll(A,c19,c27) | -eqangle(c3,c19,c3,c27,c13,c19,c13,A) | midp(A,c19,c27). [resolve(120,a,100,a)].
% 0.90/1.20 Derived: -coll(c13,c3,c27) | perp(c3,c19,c19,c27). [resolve(120,a,101,a)].
% 0.90/1.20 Derived: perp(f12(c3,c19,c27,c13),c3,c3,c13). [resolve(120,a,102,a)].
% 0.90/1.20 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c19) | B = c13 | coll(f13(c3,c19,c27,A,c13,B),c3,c27). [resolve(120,a,103,a)].
% 0.90/1.20 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c19) | B = c13 | cong(f13(c3,c19,c27,A,c13,B),B,B,c3). [resolve(120,a,104,a)].
% 0.90/1.20 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c19) | B = c13 | coll(f14(c3,c19,c27,A,c13,B),c19,A). [resolve(120,a,105,a)].
% 0.90/1.20 Derived: -cong(c13,c3,c13,A) | -cong(B,c3,B,c19) | B = c13 | cong(f14(c3,c19,c27,A,c13,B),B,B,c3). [resolve(120,a,106,a)].
% 0.90/1.20 121 circle(c14,c5,c19,c28) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.20 Derived: -perp(c14,c5,c5,A) | eqangle(c5,A,c5,c19,c28,c5,c28,c19). [resolve(121,a,96,a)].
% 0.90/1.20 Derived: -eqangle(c5,A,c5,c19,c28,c5,c28,c19) | perp(c14,c5,c5,A). [resolve(121,a,98,a)].
% 0.90/1.20 Derived: -midp(A,c19,c28) | eqangle(c5,c19,c5,c28,c14,c19,c14,A). [resolve(121,a,99,a)].
% 0.90/1.20 Derived: -coll(A,c19,c28) | -eqangle(c5,c19,c5,c28,c14,c19,c14,A) | midp(A,c19,c28). [resolve(121,a,100,a)].
% 0.90/1.20 Derived: -coll(c14,c5,c28) | perp(c5,c19,c19,c28). [resolve(121,a,101,a)].
% 0.90/1.20 Derived: perp(f12(c5,c19,c28,c14),c5,c5,c14). [resolve(121,a,102,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c19) | B = c14 | coll(f13(c5,c19,c28,A,c14,B),c5,c28). [resolve(121,a,103,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c19) | B = c14 | cong(f13(c5,c19,c28,A,c14,B),B,B,c5). [resolve(121,a,104,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c19) | B = c14 | coll(f14(c5,c19,c28,A,c14,B),c19,A). [resolve(121,a,105,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c19) | B = c14 | cong(f14(c5,c19,c28,A,c14,B),B,B,c5). [resolve(121,a,106,a)].
% 0.90/1.20 122 circle(c14,c5,c20,c29) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.20 Derived: -perp(c14,c5,c5,A) | eqangle(c5,A,c5,c20,c29,c5,c29,c20). [resolve(122,a,96,a)].
% 0.90/1.20 Derived: -eqangle(c5,A,c5,c20,c29,c5,c29,c20) | perp(c14,c5,c5,A). [resolve(122,a,98,a)].
% 0.90/1.20 Derived: -midp(A,c20,c29) | eqangle(c5,c20,c5,c29,c14,c20,c14,A). [resolve(122,a,99,a)].
% 0.90/1.20 Derived: -coll(A,c20,c29) | -eqangle(c5,c20,c5,c29,c14,c20,c14,A) | midp(A,c20,c29). [resolve(122,a,100,a)].
% 0.90/1.20 Derived: -coll(c14,c5,c29) | perp(c5,c20,c20,c29). [resolve(122,a,101,a)].
% 0.90/1.20 Derived: perp(f12(c5,c20,c29,c14),c5,c5,c14). [resolve(122,a,102,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c20) | B = c14 | coll(f13(c5,c20,c29,A,c14,B),c5,c29). [resolve(122,a,103,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c20) | B = c14 | cong(f13(c5,c20,c29,A,c14,B),B,B,c5). [resolve(122,a,104,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c20) | B = c14 | coll(f14(c5,c20,c29,A,c14,B),c20,A). [resolve(122,a,105,a)].
% 0.90/1.20 Derived: -cong(c14,c5,c14,A) | -cong(B,c5,B,c20) | B = c14 | cong(f14(c5,c20,c29,A,c14,B),B,B,c5). [resolve(122,a,106,a)].
% 0.90/1.20 123 circle(c15,c2,c20,c30) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 0.90/1.20 Derived: -perp(c15,c2,c2,A) | eqangle(c2,A,c2,c20,c30,c2,c30,c20). [resolve(123,a,96,a)].
% 0.90/1.20 Derived: -eqangle(c2,A,c2,c20,c30,c2,c30,c20) | perp(c15,c2,c2,A). [resolve(123,a,98,a)].
% 0.90/1.20 Derived: -midp(A,c20,c30) | eqangle(c2,c20,c2,c30,c15,c20,c15,A). [resolve(123,a,99,a)].
% 0.90/1.20 Derived: -coll(A,c20,c30) | -eqangle(c2,c20,c2,c30,c15,c20,c15,A) | midp(A,c20,c30). [resolve(123,a,100,a)].
% 0.90/1.20 Derived: -coll(c15,c2,c30) | perp(c2,c20,c20,c30). [resolve(123,a,101,a)].
% 0.90/1.20 Derived: perp(f12(c2,c20,c30,c15),c2,c2,c15). [resolve(123,a,102,a)].
% 0.90/1.20 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c20) | B = c15 | coll(f13(c2,c20,c30,A,c15,B),c2,c30). [resolve(123,a,103,a)].
% 0.90/1.20 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c20) | B = c15 | cong(f13(c2,c20,c30,A,c15,B),B,B,c2). [resolve(123,a,104,a)].
% 22.55/22.82 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c20) | B = c15 | coll(f14(c2,c20,c30,A,c15,B),c20,A). [resolve(123,a,105,a)].
% 22.55/22.82 Derived: -cong(c15,c2,c15,A) | -cong(B,c2,B,c20) | B = c15 | cong(f14(c2,c20,c30,A,c15,B),B,B,c2). [resolve(123,a,106,a)].
% 22.55/22.82
% 22.55/22.82 ============================== end predicate elimination =============
% 22.55/22.82
% 22.55/22.82 Auto_denials: (non-Horn, no changes).
% 22.55/22.82
% 22.55/22.82 Term ordering decisions:
% 22.55/22.82 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. c19=1. c20=1. c21=1. c22=1. c23=1. c24=1. c25=1. c26=1. c27=1. c28=1. c29=1. c30=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.
% 22.55/22.82
% 22.55/22.82 ============================== end of process initial clauses ========
% 22.55/22.82
% 22.55/22.82 ============================== CLAUSES FOR SEARCH ====================
% 22.55/22.82
% 22.55/22.82 ============================== end of clauses for search =============
% 22.55/22.82
% 22.55/22.82 ============================== SEARCH ================================
% 22.55/22.82
% 22.55/22.82 % Starting search at 0.08 seconds.
% 22.55/22.82
% 22.55/22.82 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.17 sec).
% 22.55/22.82
% 22.55/22.82 Low Water (keep): wt=18.000, iters=3335
% 22.55/22.82
% 22.55/22.82 Low Water (keep): wt=13.000, iters=3336
% 22.55/22.82
% 22.55/22.82 Low Water (keep): wt=10.000, iters=3342
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=17819, wt=57.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=17816, wt=49.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=17817, wt=48.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=17860, wt=44.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=17866, wt=39.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=18068, wt=36.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=18242, wt=31.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=18081, wt=27.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=18260, wt=26.000
% 22.55/22.82
% 22.55/22.82 Low Water (displace): id=25537, wt=8.000
% 22.55/22.82
% 22.55/22.82 Low Water (keep): wt=9.000, iters=3616
% 22.55/22.82
% 22.55/22.82 Low Water (keep): wt=8.000, iters=3335
% 22.55/22.82
% 22.55/22.82 ============================== PROOF =================================
% 22.55/22.82 % SZS status Theorem
% 22.55/22.82 % SZS output start Refutation
% 22.55/22.82
% 22.55/22.82 % Proof 1 at 21.54 (+ 0.13) seconds.
% 22.55/22.82 % Length of proof is 45.
% 22.55/22.82 % Level of proof is 15.
% 22.55/22.82 % Maximum clause weight is 18.000.
% 22.55/22.82 % Given clauses 21038.
% 22.55/22.82
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 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].
% 22.55/22.82 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 22.55/22.82 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].
% 22.55/22.82 95 -(all Q4 all Q1 all Q3 all Q0 all Q2 all P0 all P1 all P2 all P3 all P4 all O0 all O4 all O3 all O2 all O1 all M0 all M4 all M3 all M2 all M1 all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 all NWPNT9 all NWPNT01 (coll(P0,Q4,Q1) & coll(P0,Q0,Q2) & coll(P1,Q1,Q3) & coll(P1,Q0,Q2) & coll(P2,Q1,Q3) & coll(P2,Q4,Q2) & coll(P3,Q3,Q0) & coll(P3,Q4,Q2) & coll(P4,Q4,Q1) & coll(P4,Q3,Q0) & circle(O0,Q0,P0,P4) & circle(O4,P4,P3,Q4) & circle(O3,P3,P2,Q3) & circle(O2,P1,P2,Q2) & circle(O1,P1,Q1,P0) & circle(O0,Q0,M0,NWPNT1) & circle(O1,Q1,M0,NWPNT2) & circle(O0,Q0,M4,NWPNT3) & circle(O4,Q4,M4,NWPNT4) & circle(O4,Q4,M3,NWPNT5) & circle(O3,Q3,M3,NWPNT6) & circle(O3,Q3,M2,NWPNT7) & circle(O2,Q2,M2,NWPNT8) & circle(O2,Q2,M1,NWPNT9) & circle(O1,Q1,M1,NWPNT01) -> cyclic(M4,M3,M2,M1))) # label(exemplo6GDDFULL81109106) # label(negated_conjecture) # label(non_clause). [assumption].
% 22.55/22.82 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 22.55/22.82 109 circle(c11,c4,c6,c10) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 22.55/22.82 126 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 22.55/22.82 131 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 22.55/22.82 132 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 22.55/22.82 136 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 22.55/22.82 137 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 22.55/22.82 138 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 22.55/22.82 139 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 22.55/22.82 141 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 22.55/22.82 162 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 22.55/22.82 165 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 22.55/22.82 184 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 22.55/22.82 233 -cyclic(c17,c18,c19,c20) # label(exemplo6GDDFULL81109106) # label(negated_conjecture). [clausify(95)].
% 22.55/22.82 277 perp(f12(c4,c6,c10,c11),c4,c4,c11). [resolve(109,a,102,a)].
% 22.55/22.82 482 -coll(A,B,C) | coll(C,C,A). [factor(126,a,b)].
% 22.55/22.82 605 -perp(A,B,f12(c4,c6,c10,c11),c4) | para(A,B,c4,c11). [resolve(277,a,132,b)].
% 22.55/22.82 607 perp(c4,c11,f12(c4,c6,c10,c11),c4). [resolve(277,a,131,a)].
% 22.55/22.82 1476 para(c4,c11,c4,c11). [resolve(607,a,605,a)].
% 22.55/22.82 1607 coll(c4,c11,c11). [resolve(1476,a,184,a)].
% 22.55/22.82 1610 eqangle(c4,c11,A,B,c4,c11,A,B). [resolve(1476,a,162,a)].
% 22.55/22.82 1612 coll(c11,c11,c4). [resolve(1607,a,482,a)].
% 22.55/22.82 1620 coll(c4,c4,c11). [resolve(1612,a,482,a)].
% 22.55/22.82 10596 eqangle(A,B,c4,c11,A,B,c4,c11). [resolve(1610,a,141,a)].
% 22.55/22.82 39845 cyclic(A,c11,c4,c4). [resolve(10596,a,165,a),unit_del(a,1620)].
% 22.55/22.82 39890 cyclic(c11,A,c4,c4). [resolve(39845,a,138,a)].
% 22.55/22.82 40400 cyclic(c11,c4,A,c4). [resolve(39890,a,137,a)].
% 22.55/22.82 40523 cyclic(c11,c4,c4,A). [resolve(40400,a,136,a)].
% 22.55/22.82 40670 cyclic(c4,c4,A,B). [resolve(40523,a,139,b),unit_del(a,40523)].
% 22.55/22.82 40859 cyclic(c4,A,B,C). [resolve(40670,a,139,b),unit_del(a,40670)].
% 22.55/22.82 41015 cyclic(A,B,C,D). [resolve(40859,a,139,b),unit_del(a,40859)].
% 22.55/22.82 41016 $F. [resolve(41015,a,233,a)].
% 22.55/22.82
% 22.55/22.82 % SZS output end Refutation
% 22.55/22.82 ============================== end of proof ==========================
% 22.55/22.82
% 22.55/22.82 ============================== STATISTICS ============================
% 22.55/22.82
% 22.55/22.82 Given=21038. Generated=251517. Kept=40824. proofs=1.
% 22.55/22.82 Usable=13872. Sos=8358. Demods=0. Limbo=1, Disabled=18911. Hints=0.
% 22.55/22.82 Megabytes=24.47.
% 22.55/22.82 User_CPU=21.54, System_CPU=0.13, Wall_clock=21.
% 22.55/22.82
% 22.55/22.82 ============================== end of statistics =====================
% 22.55/22.82
% 22.55/22.82 ============================== end of search =========================
% 22.55/22.82
% 22.55/22.82 THEOREM PROVED
% 22.55/22.82 % SZS status Theorem
% 22.55/22.82
% 22.55/22.82 Exiting with 1 proof.
% 22.55/22.82
% 22.55/22.82 Process 16903 exit (max_proofs) Fri Jun 17 19:28:21 2022
% 22.55/22.82 Prover9 interrupted
%------------------------------------------------------------------------------