TSTP Solution File: GEO616+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO616+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 05:57:14 EDT 2022
% Result : Theorem 71.48s 71.84s
% Output : Refutation 71.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO616+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 18:48:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.41/1.05 ============================== Prover9 ===============================
% 0.41/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.41/1.05 Process 21669 was started by sandbox on n023.cluster.edu,
% 0.41/1.05 Fri Jun 17 18:48:20 2022
% 0.41/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_21499_n023.cluster.edu".
% 0.41/1.05 ============================== end of head ===========================
% 0.41/1.05
% 0.41/1.05 ============================== INPUT =================================
% 0.41/1.05
% 0.41/1.05 % Reading from file /tmp/Prover9_21499_n023.cluster.edu
% 0.41/1.05
% 0.41/1.05 set(prolog_style_variables).
% 0.41/1.05 set(auto2).
% 0.41/1.05 % set(auto2) -> set(auto).
% 0.41/1.05 % set(auto) -> set(auto_inference).
% 0.41/1.05 % set(auto) -> set(auto_setup).
% 0.41/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.41/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/1.05 % set(auto) -> set(auto_limits).
% 0.41/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/1.05 % set(auto) -> set(auto_denials).
% 0.41/1.05 % set(auto) -> set(auto_process).
% 0.41/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.41/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.41/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.41/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.41/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.41/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.41/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.41/1.05 % set(auto2) -> assign(stats, some).
% 0.41/1.05 % set(auto2) -> clear(echo_input).
% 0.41/1.05 % set(auto2) -> set(quiet).
% 0.41/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.41/1.05 % set(auto2) -> clear(print_given).
% 0.41/1.05 assign(lrs_ticks,-1).
% 0.41/1.05 assign(sos_limit,10000).
% 0.41/1.05 assign(order,kbo).
% 0.41/1.05 set(lex_order_vars).
% 0.41/1.05 clear(print_given).
% 0.41/1.05
% 0.41/1.05 % formulas(sos). % not echoed (95 formulas)
% 0.41/1.05
% 0.41/1.05 ============================== end of input ==========================
% 0.41/1.05
% 0.41/1.05 % From the command line: assign(max_seconds, 300).
% 0.41/1.05
% 0.41/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/1.05
% 0.41/1.05 % Formulas that are not ordinary clauses:
% 0.41/1.05 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.05 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.05 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].
% 0.41/1.05 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.05 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 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].
% 0.41/1.05 95 -(all A all B all C all O all G all E all K all H all N all NWPNT1 (circle(O,A,B,C) & midp(G,C,B) & coll(E,O,G) & circle(O,A,E,NWPNT1) & perp(K,E,A,B) & coll(K,A,B) & perp(H,A,O,G) & coll(H,O,G) & circle(N,K,G,H) -> perp(E,K,K,N))) # label(exemplo6GDDFULL618078) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.41/1.05
% 0.41/1.05 ============================== end of process non-clausal formulas ===
% 0.41/1.05
% 0.41/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/1.05
% 0.41/1.05 ============================== PREDICATE ELIMINATION =================
% 0.41/1.05 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)].
% 0.41/1.05 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.41/1.05 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)].
% 0.41/1.05 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)].
% 0.41/1.05 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)].
% 0.41/1.05 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)].
% 0.41/1.05 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)].
% 0.41/1.05 100 -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)].
% 0.41/1.05 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)].
% 0.41/1.05 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.41/1.05 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)].
% 0.41/1.05 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.41/1.05 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)].
% 0.41/1.05 103 -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)].
% 0.41/1.05 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)].
% 0.41/1.05 104 -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)].
% 0.41/1.05 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)].
% 0.41/1.05 105 -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)].
% 0.41/1.05 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)].
% 0.41/1.05 106 -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)].
% 0.41/1.05 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)].
% 0.78/1.06 107 -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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 108 -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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 0.78/1.06 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.78/1.06 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.78/1.06 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.78/1.06 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.78/1.06 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.78/1.06 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.78/1.06 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f13(c1,c2,c3,A,c4,B),c1,c3). [resolve(109,a,103,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f13(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,104,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f14(c1,c2,c3,A,c4,B),c2,A). [resolve(109,a,105,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f14(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,106,a)].
% 2.38/2.66 110 circle(c4,c1,c6,c10) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 2.38/2.66 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c6,c10,c1,c10,c6). [resolve(110,a,96,a)].
% 2.38/2.66 Derived: -eqangle(c1,A,c1,c6,c10,c1,c10,c6) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 2.38/2.66 Derived: -midp(A,c6,c10) | eqangle(c1,c6,c1,c10,c4,c6,c4,A). [resolve(110,a,99,a)].
% 2.38/2.66 Derived: -coll(A,c6,c10) | -eqangle(c1,c6,c1,c10,c4,c6,c4,A) | midp(A,c6,c10). [resolve(110,a,100,a)].
% 2.38/2.66 Derived: -coll(c4,c1,c10) | perp(c1,c6,c6,c10). [resolve(110,a,101,a)].
% 2.38/2.66 Derived: perp(f12(c1,c6,c10,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f13(c1,c6,c10,A,c4,B),c1,c10). [resolve(110,a,103,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f13(c1,c6,c10,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f14(c1,c6,c10,A,c4,B),c6,A). [resolve(110,a,105,a)].
% 2.38/2.66 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f14(c1,c6,c10,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 2.38/2.66 111 circle(c9,c7,c5,c8) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 2.38/2.66 Derived: -perp(c9,c7,c7,A) | eqangle(c7,A,c7,c5,c8,c7,c8,c5). [resolve(111,a,96,a)].
% 2.38/2.66 Derived: -eqangle(c7,A,c7,c5,c8,c7,c8,c5) | perp(c9,c7,c7,A). [resolve(111,a,98,a)].
% 2.38/2.66 Derived: -midp(A,c5,c8) | eqangle(c7,c5,c7,c8,c9,c5,c9,A). [resolve(111,a,99,a)].
% 2.38/2.66 Derived: -coll(A,c5,c8) | -eqangle(c7,c5,c7,c8,c9,c5,c9,A) | midp(A,c5,c8). [resolve(111,a,100,a)].
% 2.38/2.66 Derived: -coll(c9,c7,c8) | perp(c7,c5,c5,c8). [resolve(111,a,101,a)].
% 2.38/2.66 Derived: perp(f12(c7,c5,c8,c9),c7,c7,c9). [resolve(111,a,102,a)].
% 2.38/2.66 Derived: -cong(c9,c7,c9,A) | -cong(B,c7,B,c5) | B = c9 | coll(f13(c7,c5,c8,A,c9,B),c7,c8). [resolve(111,a,103,a)].
% 2.38/2.66 Derived: -cong(c9,c7,c9,A) | -cong(B,c7,B,c5) | B = c9 | cong(f13(c7,c5,c8,A,c9,B),B,B,c7). [resolve(111,a,104,a)].
% 2.38/2.66 Derived: -cong(c9,c7,c9,A) | -cong(B,c7,B,c5) | B = c9 | coll(f14(c7,c5,c8,A,c9,B),c5,A). [resolve(111,a,105,a)].
% 2.38/2.66 Derived: -cong(c9,c7,c9,A) | -cong(B,c7,B,c5) | B = c9 | cong(f14(c7,c5,c8,A,c9,B),B,B,c7). [resolve(111,a,106,a)].
% 2.38/2.66
% 2.38/2.66 ============================== end predicate elimination =============
% 2.38/2.66
% 2.38/2.66 Auto_denials: (non-Horn, no changes).
% 2.38/2.66
% 2.38/2.66 Term ordering decisions:
% 2.38/2.66 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=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.
% 2.38/2.66
% 2.38/2.66 ============================== end of process initial clauses ========
% 2.38/2.66
% 2.38/2.66 ============================== CLAUSES FOR SEARCH ====================
% 2.38/2.66
% 2.38/2.66 ============================== end of clauses for search =============
% 2.38/2.66
% 2.38/2.66 ============================== SEARCH ================================
% 2.38/2.66
% 2.38/2.66 % Starting search at 0.05 seconds.
% 2.38/2.66
% 2.38/2.66 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1039 (0.00 of 0.19 sec).
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=48.000, iters=3369
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=47.000, iters=3335
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=29.000, iters=3418
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=28.000, iters=3353
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=24.000, iters=3347
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=23.000, iters=3345
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=22.000, iters=3368
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=19.000, iters=3336
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=18.000, iters=3355
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=15.000, iters=3346
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=14.000, iters=3340
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=13.000, iters=3470
% 2.38/2.66
% 2.38/2.66 Low Water (displace): id=7155, wt=48.000
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=12.000, iters=3353
% 2.38/2.66
% 2.38/2.66 Low Water (displace): id=13302, wt=10.000
% 2.38/2.66
% 2.38/2.66 Low Water (displace): id=13306, wt=9.000
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=11.000, iters=3333
% 2.38/2.66
% 2.38/2.66 Low Water (displace): id=13923, wt=7.000
% 2.38/2.66
% 2.38/2.66 Low Water (keep): wt=10.000, iters=3336
% 71.48/71.84
% 71.48/71.84 Low Water (displace): id=20437, wt=5.000
% 71.48/71.84
% 71.48/71.84 Low Water (keep): wt=9.000, iters=3336
% 71.48/71.84
% 71.48/71.84 Low Water (keep): wt=8.000, iters=3333
% 71.48/71.84
% 71.48/71.84 Low Water (keep): wt=7.000, iters=3381
% 71.48/71.84
% 71.48/71.84 ============================== PROOF =================================
% 71.48/71.84 % SZS status Theorem
% 71.48/71.84 % SZS output start Refutation
% 71.48/71.84
% 71.48/71.84 % Proof 1 at 70.43 (+ 0.37) seconds.
% 71.48/71.84 % Length of proof is 597.
% 71.48/71.84 % Level of proof is 50.
% 71.48/71.84 % Maximum clause weight is 27.000.
% 71.48/71.84 % Given clauses 41644.
% 71.48/71.84
% 71.48/71.84 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 71.48/71.84 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 71.48/71.84 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].
% 71.48/71.84 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 71.48/71.84 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 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].
% 71.48/71.84 95 -(all A all B all C all O all G all E all K all H all N all NWPNT1 (circle(O,A,B,C) & midp(G,C,B) & coll(E,O,G) & circle(O,A,E,NWPNT1) & perp(K,E,A,B) & coll(K,A,B) & perp(H,A,O,G) & coll(H,O,G) & circle(N,K,G,H) -> perp(E,K,K,N))) # label(exemplo6GDDFULL618078) # label(negated_conjecture) # label(non_clause). [assumption].
% 71.48/71.84 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 71.48/71.84 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)].
% 71.48/71.84 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 71.48/71.84 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 71.48/71.84 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 111 circle(c9,c7,c5,c8) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 71.48/71.84 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 71.48/71.84 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 71.48/71.84 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 71.48/71.84 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 71.48/71.84 117 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 71.48/71.84 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 71.48/71.84 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 71.48/71.84 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 71.48/71.84 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 71.48/71.84 122 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 71.48/71.84 123 -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)].
% 71.48/71.84 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 71.48/71.84 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 71.48/71.84 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 71.48/71.84 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 71.48/71.84 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 71.48/71.84 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 71.48/71.84 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 71.48/71.84 135 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 71.48/71.84 155 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 71.48/71.84 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 71.48/71.84 159 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 71.48/71.84 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 71.48/71.84 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 71.48/71.84 163 -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)].
% 71.48/71.84 169 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 71.48/71.84 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 71.48/71.84 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 71.48/71.84 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 71.48/71.84 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 71.48/71.84 175 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 71.48/71.84 179 -eqangle(A,B,C,D,E,F,V6,V7) | -perp(E,F,V6,V7) | perp(A,B,C,D) # label(ruleD74) # label(axiom). [clausify(75)].
% 71.48/71.84 194 -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)].
% 71.48/71.84 211 midp(c5,c3,c2) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 212 coll(c6,c4,c5) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 213 perp(c7,c6,c1,c2) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 214 coll(c7,c1,c2) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 215 perp(c8,c1,c4,c5) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 216 coll(c8,c4,c5) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 217 -perp(c6,c7,c7,c9) # label(exemplo6GDDFULL618078) # label(negated_conjecture). [clausify(95)].
% 71.48/71.84 222 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 71.48/71.84 258 -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 71.48/71.84 260 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 71.48/71.84 261 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 71.48/71.84 288 -coll(c9,c7,c8) | perp(c7,c5,c5,c8). [resolve(111,a,101,a)].
% 71.48/71.84 289 perp(f12(c7,c5,c8,c9),c7,c7,c9). [resolve(111,a,102,a)].
% 71.48/71.84 298 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 71.48/71.84 300 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(123,a,b)].
% 71.48/71.84 307 -midp(A,B,C) | para(A,A,C,C). [factor(155,a,b)].
% 71.48/71.84 308 -cong(A,B,C,B) | perp(A,C,B,B). [factor(162,a,b)].
% 71.48/71.84 309 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(163,a,b)].
% 71.48/71.84 311 -midp(A,B,C) | para(B,B,C,C). [factor(169,a,b)].
% 71.48/71.84 312 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 71.48/71.84 337 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(222,c,d)].
% 71.48/71.84 352 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(300,a,b)].
% 71.48/71.84 361 -midp(A,B,C) | -coll(c3,B,C) | -coll(c2,B,C) | midp(f7(B,C,c3,c2,A,c5,D),B,D). [resolve(211,a,194,b)].
% 71.48/71.84 362 -midp(A,B,C) | -coll(B,c3,c2) | -coll(C,c3,c2) | midp(f7(c3,c2,B,C,c5,A,D),c3,D). [resolve(211,a,194,a)].
% 71.48/71.84 371 coll(c5,c3,c2). [resolve(211,a,175,a)].
% 71.48/71.84 372 cong(c5,c3,c5,c2). [resolve(211,a,174,a)].
% 71.48/71.84 373 -midp(c5,A,B) | para(A,c3,B,c2). [resolve(211,a,169,b)].
% 71.48/71.84 374 -midp(c5,A,B) | para(c3,A,c2,B). [resolve(211,a,169,a)].
% 71.48/71.84 375 -midp(A,c3,B) | para(A,c5,B,c2). [resolve(211,a,155,b)].
% 71.48/71.84 377 midp(c5,c2,c3). [resolve(211,a,122,a)].
% 71.48/71.84 381 coll(c4,c6,c5). [resolve(212,a,113,a)].
% 71.48/71.84 394 -perp(A,B,c7,c6) | para(A,B,c1,c2). [resolve(213,a,120,b)].
% 71.48/71.84 395 -perp(c1,c2,A,B) | para(c7,c6,A,B). [resolve(213,a,120,a)].
% 71.48/71.84 396 perp(c1,c2,c7,c6). [resolve(213,a,119,a)].
% 71.48/71.84 397 perp(c7,c6,c2,c1). [resolve(213,a,118,a)].
% 71.48/71.84 400 coll(c1,c7,c2). [resolve(214,a,113,a)].
% 71.48/71.84 401 coll(c7,c2,c1). [resolve(214,a,112,a)].
% 71.48/71.84 413 -perp(A,B,c8,c1) | para(A,B,c4,c5). [resolve(215,a,120,b)].
% 71.48/71.84 414 -perp(c4,c5,A,B) | para(c8,c1,A,B). [resolve(215,a,120,a)].
% 71.48/71.84 415 perp(c4,c5,c8,c1). [resolve(215,a,119,a)].
% 71.48/71.84 416 perp(c8,c1,c5,c4). [resolve(215,a,118,a)].
% 71.48/71.84 419 coll(c4,c8,c5). [resolve(216,a,113,a)].
% 71.48/71.84 420 coll(c8,c5,c4). [resolve(216,a,112,a)].
% 71.48/71.84 441 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(261,a,120,b)].
% 71.48/71.84 443 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(261,a,119,a)].
% 71.48/71.84 491 -perp(A,B,f12(c7,c5,c8,c9),c7) | para(A,B,c7,c9). [resolve(289,a,120,b)].
% 71.48/71.84 493 perp(c7,c9,f12(c7,c5,c8,c9),c7). [resolve(289,a,119,a)].
% 71.48/71.84 496 coll(c5,c5,c8). [resolve(298,a,216,a)].
% 71.48/71.84 497 coll(c2,c2,c7). [resolve(298,a,214,a)].
% 71.48/71.84 499 para(c5,c5,c2,c2). [resolve(307,a,211,a)].
% 71.48/71.84 500 para(c3,c3,c2,c2). [resolve(311,a,211,a)].
% 71.48/71.84 506 coll(c2,c2,c5). [resolve(371,a,298,a)].
% 71.48/71.84 509 coll(c3,c5,c2). [resolve(371,a,113,a)].
% 71.48/71.84 510 coll(c5,c2,c3). [resolve(371,a,112,a)].
% 71.48/71.84 511 -coll(c3,c2,c3) | -coll(c2,c2,c3) | midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [resolve(377,a,361,a)].
% 71.48/71.84 520 eqangle(c1,c2,c1,c3,c4,c2,c4,c5). [resolve(377,a,258,a)].
% 71.48/71.84 531 cong(c5,c2,c5,c3). [resolve(377,a,174,a)].
% 71.48/71.84 532 -midp(c5,A,B) | para(A,c2,B,c3). [resolve(377,a,169,b)].
% 71.48/71.84 533 -midp(c5,A,B) | para(c2,A,c3,B). [resolve(377,a,169,a)].
% 71.48/71.84 534 -midp(A,c2,B) | para(A,c5,B,c3). [resolve(377,a,155,b)].
% 71.48/71.84 535 -midp(A,c2,B) | para(c5,A,c3,B). [resolve(377,a,155,a)].
% 71.48/71.84 536 coll(c5,c5,c4). [resolve(381,a,298,a)].
% 71.48/71.84 544 -coll(c2,c3,c2) | -coll(c3,c3,c2) | midp(f7(c3,c2,c2,c3,c5,c5,A),c3,A). [resolve(362,a,377,a)].
% 71.48/71.84 545 coll(c2,c2,c1). [resolve(400,a,298,a)].
% 71.48/71.84 550 -coll(c7,c2,A) | coll(A,c1,c7). [resolve(401,a,114,b)].
% 71.48/71.84 551 -coll(c7,c2,A) | coll(c1,A,c7). [resolve(401,a,114,a)].
% 71.48/71.84 553 -coll(c4,c8,A) | coll(A,c5,c4). [resolve(419,a,114,b)].
% 71.48/71.84 554 -coll(c4,c8,A) | coll(c5,A,c4). [resolve(419,a,114,a)].
% 71.48/71.84 556 coll(c4,c4,c8). [resolve(420,a,298,a)].
% 71.48/71.84 557 -coll(c8,c5,A) | coll(A,c4,c8). [resolve(420,a,114,b)].
% 71.48/71.84 558 -coll(c8,c5,A) | coll(c4,A,c8). [resolve(420,a,114,a)].
% 71.48/71.84 562 -coll(c5,c5,A) | coll(A,c8,c5). [resolve(496,a,114,b)].
% 71.48/71.84 563 -coll(c5,c5,A) | coll(c8,A,c5). [resolve(496,a,114,a)].
% 71.48/71.84 564 coll(c5,c8,c5). [resolve(496,a,112,a)].
% 71.48/71.84 565 coll(c7,c7,c2). [resolve(497,a,298,a)].
% 71.48/71.84 566 -coll(c2,c2,A) | coll(A,c7,c2). [resolve(497,a,114,b)].
% 71.48/71.84 573 coll(c5,c5,c2). [resolve(506,a,298,a)].
% 71.48/71.84 575 -coll(c2,c2,A) | coll(c5,A,c2). [resolve(506,a,114,a)].
% 71.48/71.84 576 coll(c2,c5,c2). [resolve(506,a,112,a)].
% 71.48/71.84 578 coll(c2,c2,c3). [resolve(509,a,298,a)].
% 71.48/71.84 579 -coll(c3,c5,A) | coll(A,c2,c3). [resolve(509,a,114,b)].
% 71.48/71.84 581 coll(c3,c2,c5). [resolve(509,a,112,a)].
% 71.48/71.84 583 -coll(c3,c2,c3) | midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [back_unit_del(511),unit_del(b,578)].
% 71.48/71.84 585 -coll(c5,c2,A) | coll(A,c3,c5). [resolve(510,a,114,b)].
% 71.48/71.84 588 coll(c4,c4,c5). [resolve(536,a,298,a)].
% 71.48/71.84 602 coll(c1,c1,c2). [resolve(545,a,298,a)].
% 71.48/71.84 605 coll(c2,c1,c2). [resolve(545,a,112,a)].
% 71.48/71.84 622 coll(c4,c8,c4). [resolve(556,a,112,a)].
% 71.48/71.84 632 coll(c8,c5,c5). [resolve(564,a,113,a)].
% 71.48/71.84 633 -coll(c7,c7,A) | coll(A,c2,c7). [resolve(565,a,114,b)].
% 71.48/71.84 649 coll(c5,c2,c5). [resolve(573,a,112,a)].
% 71.48/71.84 653 coll(c5,c2,c2). [resolve(576,a,113,a)].
% 71.48/71.84 654 coll(c3,c3,c2). [resolve(578,a,298,a)].
% 71.48/71.84 657 coll(c2,c3,c2). [resolve(578,a,112,a)].
% 71.48/71.84 658 midp(f7(c3,c2,c2,c3,c5,c5,A),c3,A). [back_unit_del(544),unit_del(a,657),unit_del(b,654)].
% 71.48/71.84 660 coll(c5,c5,c3). [resolve(581,a,298,a)].
% 71.48/71.84 687 cyclic(c3,c2,c2,c2). [resolve(372,a,352,a)].
% 71.48/71.84 725 perp(c3,c2,c2,c2). [resolve(372,a,337,c),unit_del(a,371)].
% 71.48/71.84 756 -cong(A,B,c5,c3) | cong(A,B,c5,c2). [resolve(372,a,135,b)].
% 71.48/71.84 758 cong(c5,c3,c2,c5). [resolve(372,a,133,a)].
% 71.48/71.84 774 para(c2,c3,c3,c2). [resolve(373,a,377,a)].
% 71.48/71.84 815 coll(c2,c5,c5). [resolve(649,a,113,a)].
% 71.48/71.84 820 coll(c3,c2,c3). [resolve(654,a,112,a)].
% 71.48/71.84 821 midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [back_unit_del(583),unit_del(a,820)].
% 71.48/71.84 828 coll(c5,c3,c5). [resolve(660,a,112,a)].
% 71.48/71.84 880 coll(c3,c5,c5). [resolve(828,a,113,a)].
% 71.48/71.84 925 perp(c2,c1,c7,c6). [resolve(397,a,119,a)].
% 71.48/71.84 939 perp(c4,c5,c1,c8). [resolve(415,a,118,a)].
% 71.48/71.84 953 perp(c5,c4,c8,c1). [resolve(416,a,119,a)].
% 71.48/71.84 966 -para(c2,c2,A,B) | para(c5,c5,A,B). [resolve(499,a,117,a)].
% 71.48/71.84 978 -perp(c2,c2,A,B) | perp(c3,c3,A,B). [resolve(500,a,121,a)].
% 71.48/71.84 1016 cyclic(c2,c3,c3,c3). [resolve(531,a,352,a)].
% 71.48/71.84 1054 perp(c2,c3,c3,c3). [resolve(531,a,337,c),unit_del(a,510)].
% 71.48/71.84 1085 -cong(A,B,c5,c2) | cong(A,B,c5,c3). [resolve(531,a,135,b)].
% 71.48/71.84 1087 cong(c5,c2,c3,c5). [resolve(531,a,133,a)].
% 71.48/71.84 1110 cyclic(c2,c3,c2,c2). [resolve(687,a,126,a)].
% 71.48/71.84 1129 -midp(c2,c2,c2) | cong(c3,c2,c3,c2). [resolve(725,a,161,b)].
% 71.48/71.84 1131 -perp(A,B,c3,c2) | para(A,B,c2,c2). [resolve(725,a,120,b)].
% 71.48/71.84 1132 -perp(c2,c2,A,B) | para(c3,c2,A,B). [resolve(725,a,120,a)].
% 71.48/71.84 1144 cong(c2,c5,c5,c3). [resolve(758,a,134,a)].
% 71.48/71.84 1156 -midp(c2,A,c3) | -coll(c3,A,c2) | midp(c3,A,c2). [resolve(774,a,156,b)].
% 71.48/71.84 1160 para(c2,c3,c2,c3). [resolve(774,a,115,a)].
% 71.48/71.84 1259 para(c2,c1,c1,c2). [resolve(394,a,925,a)].
% 71.48/71.84 1260 para(c1,c2,c1,c2). [resolve(394,a,396,a)].
% 71.48/71.84 1280 cyclic(c3,c2,c3,c3). [resolve(1016,a,126,a)].
% 71.48/71.84 1303 perp(c3,c3,c2,c3). [resolve(1054,a,119,a)].
% 71.48/71.84 1314 cong(c3,c5,c5,c2). [resolve(1087,a,134,a)].
% 71.48/71.84 1354 cyclic(c2,c2,c3,c2). [resolve(1110,a,125,a)].
% 71.48/71.84 1373 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(1160,a,312,b)].
% 71.48/71.84 1381 -midp(c2,A,c2) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(1160,a,156,b)].
% 71.48/71.84 1460 -midp(c2,A,c1) | -coll(c1,A,c2) | midp(c1,A,c2). [resolve(1259,a,156,b)].
% 71.48/71.84 1464 para(c1,c2,c2,c1). [resolve(1259,a,116,a)].
% 71.48/71.84 1465 para(c2,c1,c2,c1). [resolve(1259,a,115,a)].
% 71.48/71.84 1468 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(1260,a,312,b)].
% 71.48/71.84 1476 -midp(c1,A,c1) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(1260,a,156,b)].
% 71.48/71.84 1515 cyclic(c3,c3,c2,c3). [resolve(1280,a,125,a)].
% 71.48/71.84 1519 -perp(c2,c3,A,B) | para(c3,c3,A,B). [resolve(1303,a,120,a)].
% 71.48/71.84 1520 perp(c3,c3,c3,c2). [resolve(1303,a,118,a)].
% 71.48/71.84 1531 cong(c3,c5,c2,c5). [resolve(1314,a,133,a)].
% 71.48/71.84 1598 cyclic(c2,c2,c2,c3). [resolve(1354,a,124,a)].
% 71.48/71.84 1664 -perp(c2,c1,A,B) | perp(c1,c2,A,B). [resolve(1464,a,121,a)].
% 71.48/71.84 1668 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(1465,a,312,b)].
% 71.48/71.84 1694 cyclic(c3,c3,c3,c2). [resolve(1515,a,124,a)].
% 71.48/71.84 1712 -midp(A,c3,c2) | cong(c3,A,c3,A). [resolve(1520,a,159,a)].
% 71.48/71.84 1715 perp(c3,c2,c3,c3). [resolve(1520,a,119,a)].
% 71.48/71.84 1716 perp(c3,c2,c5,c5). [resolve(1531,a,308,a)].
% 71.48/71.84 1756 -cyclic(c2,c2,c2,A) | cyclic(c2,c2,A,c3). [resolve(1598,a,127,b)].
% 71.48/71.84 1802 -cyclic(c3,c3,c3,A) | cyclic(c3,c3,A,c2). [resolve(1694,a,127,b)].
% 71.48/71.84 1803 -cyclic(c3,c3,c3,A) | cyclic(c3,c3,c2,A). [resolve(1694,a,127,a)].
% 71.48/71.84 1812 -midp(c2,c3,c3) | cong(c3,c3,c3,c3). [resolve(1715,a,161,b)].
% 71.48/71.84 1825 -midp(c2,c5,c5) | cong(c3,c5,c3,c5). [resolve(1716,a,161,b)].
% 71.48/71.84 1979 para(c5,c4,c4,c5). [resolve(413,a,953,a)].
% 71.48/71.84 1980 para(c4,c5,c4,c5). [resolve(413,a,415,a)].
% 71.48/71.84 1992 -midp(c5,A,c4) | -coll(c4,A,c5) | midp(c4,A,c5). [resolve(1979,a,156,b)].
% 71.48/71.84 1994 -perp(c4,c5,A,B) | perp(c5,c4,A,B). [resolve(1979,a,121,a)].
% 71.48/71.84 1997 para(c5,c4,c5,c4). [resolve(1979,a,115,a)].
% 71.48/71.84 2000 -midp(A,c4,c4) | midp(A,c5,c5). [resolve(1980,a,312,b)].
% 71.48/71.84 2008 -midp(c4,A,c4) | -coll(c5,A,c5) | midp(c5,A,c5). [resolve(1980,a,156,b)].
% 71.48/71.84 2027 -midp(A,c5,c5) | midp(A,c4,c4). [resolve(1997,a,312,b)].
% 71.48/71.84 2037 para(c8,c1,c1,c8). [resolve(414,a,939,a)].
% 71.48/71.84 2038 para(c8,c1,c8,c1). [resolve(414,a,415,a)].
% 71.48/71.84 2050 -midp(c8,A,c1) | -coll(c1,A,c8) | midp(c1,A,c8). [resolve(2037,a,156,b)].
% 71.48/71.84 2054 para(c1,c8,c8,c1). [resolve(2037,a,116,a)].
% 71.48/71.84 2064 coll(c8,c1,c1). [resolve(2038,a,172,a)].
% 71.48/71.84 2068 coll(c1,c1,c8). [resolve(2064,a,298,a)].
% 71.48/71.84 2104 para(c1,c8,c1,c8). [resolve(2054,a,115,a)].
% 71.48/71.84 2107 -midp(A,c1,c1) | midp(A,c8,c8). [resolve(2104,a,312,b)].
% 71.48/71.84 2131 coll(c3,c8,c5). [resolve(562,a,660,a)].
% 71.48/71.84 2132 coll(c2,c8,c5). [resolve(562,a,573,a)].
% 71.48/71.84 2150 coll(c8,c3,c5). [resolve(2131,a,113,a)].
% 71.48/71.84 2154 coll(c8,c2,c5). [resolve(2132,a,113,a)].
% 71.48/71.84 2155 coll(c2,c5,c8). [resolve(2132,a,112,a)].
% 71.48/71.84 2162 coll(c8,c5,c3). [resolve(2150,a,112,a)].
% 71.48/71.84 2169 coll(c8,c5,c2). [resolve(2154,a,112,a)].
% 71.48/71.84 2171 -coll(c2,c5,A) | coll(A,c8,c2). [resolve(2155,a,114,b)].
% 71.48/71.84 2183 coll(c4,c3,c8). [resolve(2162,a,558,a)].
% 71.48/71.84 2184 coll(c3,c4,c8). [resolve(2162,a,557,a)].
% 71.48/71.84 2194 coll(c4,c2,c8). [resolve(2169,a,558,a)].
% 71.48/71.84 2195 coll(c2,c4,c8). [resolve(2169,a,557,a)].
% 71.48/71.84 2196 coll(c2,c2,c8). [resolve(2169,a,298,a)].
% 71.48/71.84 2227 coll(c4,c8,c3). [resolve(2183,a,112,a)].
% 71.48/71.84 2230 coll(c3,c8,c4). [resolve(2184,a,112,a)].
% 71.48/71.84 2243 coll(c4,c8,c2). [resolve(2194,a,112,a)].
% 71.48/71.84 2246 coll(c2,c8,c4). [resolve(2195,a,112,a)].
% 71.48/71.84 2272 coll(c5,c3,c4). [resolve(2227,a,554,a)].
% 71.48/71.84 2273 coll(c3,c5,c4). [resolve(2227,a,553,a)].
% 71.48/71.84 2277 -coll(c4,c8,A) | coll(A,c3,c4). [resolve(2227,a,114,b)].
% 71.48/71.84 2280 coll(c4,c4,c3). [resolve(2230,a,298,a)].
% 71.48/71.84 2293 coll(c2,c2,c4). [resolve(2243,a,298,a)].
% 71.48/71.84 2297 coll(c4,c4,c2). [resolve(2246,a,298,a)].
% 71.48/71.84 2317 coll(c5,c4,c3). [resolve(2272,a,112,a)].
% 71.48/71.84 2330 coll(c4,c3,c4). [resolve(2280,a,112,a)].
% 71.48/71.84 2349 coll(c4,c2,c4). [resolve(2297,a,112,a)].
% 71.48/71.84 2386 coll(c2,c4,c4). [resolve(2349,a,113,a)].
% 71.48/71.84 2392 para(c1,c4,c1,c4). [resolve(443,a,441,a)].
% 71.48/71.84 2451 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(2392,a,312,b)].
% 71.48/71.84 2458 coll(c1,c4,c4). [resolve(2392,a,172,a)].
% 71.48/71.84 2460 -midp(c1,A,c1) | -coll(c4,A,c4) | midp(c4,A,c4). [resolve(2392,a,156,b)].
% 71.48/71.84 2462 para(c1,c4,c4,c1). [resolve(2392,a,115,a)].
% 71.48/71.84 2466 coll(c4,c1,c4). [resolve(2458,a,113,a)].
% 71.48/71.84 2503 para(c4,c1,c1,c4). [resolve(2462,a,116,a)].
% 71.48/71.84 2519 para(c4,c1,c4,c1). [resolve(2503,a,115,a)].
% 71.48/71.84 2522 -midp(A,c4,c4) | midp(A,c1,c1). [resolve(2519,a,312,b)].
% 71.48/71.84 2532 coll(c4,c7,c2). [resolve(566,a,2293,a)].
% 71.48/71.84 2533 coll(c8,c7,c2). [resolve(566,a,2196,a)].
% 71.48/71.84 2534 coll(c3,c7,c2). [resolve(566,a,578,a)].
% 71.48/71.84 2535 coll(c5,c7,c2). [resolve(566,a,506,a)].
% 71.48/71.84 2541 coll(c4,c2,c7). [resolve(2532,a,112,a)].
% 71.48/71.84 2545 coll(c8,c2,c7). [resolve(2533,a,112,a)].
% 71.48/71.84 2548 coll(c7,c3,c2). [resolve(2534,a,113,a)].
% 71.48/71.84 2549 coll(c3,c2,c7). [resolve(2534,a,112,a)].
% 71.48/71.84 2552 coll(c7,c5,c2). [resolve(2535,a,113,a)].
% 71.48/71.84 2559 coll(c7,c7,c4). [resolve(2541,a,298,a)].
% 71.48/71.84 2602 -coll(c8,c2,A) | coll(A,c7,c8). [resolve(2545,a,114,b)].
% 71.48/71.84 2607 coll(c7,c2,c3). [resolve(2548,a,112,a)].
% 71.48/71.84 2608 coll(c7,c7,c3). [resolve(2549,a,298,a)].
% 71.48/71.84 2649 coll(c7,c2,c5). [resolve(2552,a,112,a)].
% 71.48/71.84 2662 coll(c7,c4,c7). [resolve(2559,a,112,a)].
% 71.48/71.84 2676 coll(c1,c3,c7). [resolve(2607,a,551,a)].
% 71.48/71.84 2677 coll(c3,c1,c7). [resolve(2607,a,550,a)].
% 71.48/71.84 2684 coll(c7,c3,c7). [resolve(2608,a,112,a)].
% 71.48/71.84 2687 coll(c1,c5,c7). [resolve(2649,a,551,a)].
% 71.48/71.84 2689 coll(c5,c5,c7). [resolve(2649,a,298,a)].
% 71.48/71.84 2719 coll(c4,c7,c7). [resolve(2662,a,113,a)].
% 71.48/71.84 2736 coll(c1,c7,c3). [resolve(2676,a,112,a)].
% 71.48/71.84 2739 coll(c3,c7,c1). [resolve(2677,a,112,a)].
% 71.48/71.84 2747 coll(c3,c7,c7). [resolve(2684,a,113,a)].
% 71.48/71.84 2750 coll(c1,c7,c5). [resolve(2687,a,112,a)].
% 71.48/71.84 2755 coll(c7,c8,c5). [resolve(2689,a,562,a)].
% 71.48/71.84 2804 coll(c3,c3,c1). [resolve(2736,a,298,a)].
% 71.48/71.84 2808 coll(c1,c1,c3). [resolve(2739,a,298,a)].
% 71.48/71.84 2819 coll(c5,c5,c1). [resolve(2750,a,298,a)].
% 71.48/71.84 2822 coll(c7,c1,c5). [resolve(2750,a,113,a)].
% 71.48/71.84 2832 coll(c7,c5,c8). [resolve(2755,a,112,a)].
% 71.48/71.84 2874 coll(c3,c1,c3). [resolve(2804,a,112,a)].
% 71.48/71.84 2879 coll(c1,c3,c1). [resolve(2808,a,112,a)].
% 71.48/71.84 2891 coll(c8,c1,c5). [resolve(2819,a,563,a)].
% 71.48/71.84 2895 coll(c5,c1,c5). [resolve(2819,a,112,a)].
% 71.48/71.84 2987 coll(c8,c5,c1). [resolve(2891,a,112,a)].
% 71.48/71.84 2993 coll(c1,c5,c5). [resolve(2895,a,113,a)].
% 71.48/71.84 3031 coll(c4,c1,c8). [resolve(2987,a,558,a)].
% 71.48/71.84 3061 coll(c4,c8,c1). [resolve(3031,a,112,a)].
% 71.48/71.84 3273 para(c7,c9,c7,c9). [resolve(493,a,491,a)].
% 71.48/71.84 3609 eqangle(c4,c2,c4,c5,c1,c2,c1,c3). [resolve(520,a,130,a)].
% 71.48/71.84 3614 -midp(A,c7,c7) | midp(A,c9,c9). [resolve(3273,a,312,b)].
% 71.48/71.84 3621 coll(c7,c9,c9). [resolve(3273,a,172,a)].
% 71.48/71.84 3626 coll(c9,c9,c7). [resolve(3621,a,298,a)].
% 71.48/71.84 3634 coll(c7,c7,c9). [resolve(3626,a,298,a)].
% 71.48/71.84 3706 coll(c4,c2,c3). [resolve(579,a,2273,a)].
% 71.48/71.84 3721 coll(c4,c3,c2). [resolve(3706,a,112,a)].
% 71.48/71.84 3886 coll(c9,c2,c7). [resolve(633,a,3634,a)].
% 71.48/71.84 3892 coll(c9,c7,c2). [resolve(3886,a,112,a)].
% 71.48/71.84 3951 coll(c2,c2,c9). [resolve(3892,a,298,a)].
% 71.48/71.84 3961 coll(c5,c9,c2). [resolve(3951,a,575,a)].
% 71.48/71.84 4040 coll(c5,c2,c9). [resolve(3961,a,112,a)].
% 71.48/71.84 4074 coll(c9,c3,c5). [resolve(4040,a,585,a)].
% 71.48/71.84 4078 coll(c2,c5,c9). [resolve(4040,a,113,a)].
% 71.48/71.84 4119 coll(c9,c5,c3). [resolve(4074,a,112,a)].
% 71.48/71.84 4156 coll(c3,c3,c9). [resolve(4119,a,298,a)].
% 71.48/71.84 4225 coll(c3,c9,c3). [resolve(4156,a,112,a)].
% 71.48/71.84 4312 para(c3,c3,A,A). [resolve(658,a,311,a)].
% 71.48/71.84 4342 coll(c9,c3,c3). [resolve(4225,a,113,a)].
% 71.48/71.84 4584 -para(A,B,c3,c3) | para(A,B,C,C). [resolve(4312,a,117,b)].
% 71.48/71.84 4907 coll(c9,c8,c2). [resolve(2171,a,4078,a)].
% 71.48/71.84 4913 coll(c8,c9,c2). [resolve(4907,a,113,a)].
% 71.48/71.84 4921 coll(c8,c2,c9). [resolve(4913,a,112,a)].
% 71.48/71.84 4977 coll(c1,c3,c4). [resolve(2277,a,3061,a)].
% 71.48/71.84 4979 cong(c2,c5,c5,c2). [resolve(756,a,1144,a)].
% 71.48/71.84 4980 cong(c5,c2,c5,c2). [resolve(756,a,531,a)].
% 71.48/71.84 4990 coll(c1,c4,c3). [resolve(4977,a,112,a)].
% 71.48/71.84 5010 coll(c4,c1,c3). [resolve(4990,a,113,a)].
% 71.48/71.84 5011 perp(c1,c2,c2,c3). [back_unit_del(260),unit_del(a,5010)].
% 71.48/71.84 5065 cong(c2,c5,c2,c5). [resolve(4979,a,133,a)].
% 71.48/71.84 5113 perp(c2,c2,c2,c2). [resolve(4980,a,337,c),unit_del(a,653)].
% 71.48/71.84 5144 midp(c5,c2,c2). [resolve(4980,a,173,a),unit_del(a,653)].
% 71.48/71.84 5200 para(c2,c2,A,A). [resolve(821,a,311,a)].
% 71.48/71.84 5220 midp(c5,c1,c1). [resolve(5144,a,1668,a)].
% 71.48/71.84 5221 midp(c5,c3,c3). [resolve(5144,a,1373,a)].
% 71.48/71.84 5223 para(c5,c5,c3,c2). [resolve(5144,a,535,a)].
% 71.48/71.84 5224 para(c5,c5,c2,c3). [resolve(5144,a,534,a)].
% 71.48/71.84 5238 para(c3,c2,c2,c2). [resolve(5144,a,374,a)].
% 71.48/71.84 5300 midp(c5,c8,c8). [resolve(5220,a,2107,a)].
% 71.48/71.84 5315 para(c1,c3,c1,c2). [resolve(5220,a,373,a)].
% 71.48/71.84 5342 cong(c5,c1,c5,c1). [resolve(5220,a,174,a)].
% 71.48/71.84 5343 -midp(c5,A,B) | para(A,c1,B,c1). [resolve(5220,a,169,b)].
% 71.48/71.84 5348 para(c3,c2,c3,c3). [resolve(5221,a,532,a)].
% 71.48/71.84 5361 para(c3,c3,c3,c2). [resolve(5221,a,373,a)].
% 71.48/71.84 5464 cong(c5,c8,c5,c8). [resolve(5300,a,174,a)].
% 71.48/71.84 5467 -midp(A,c8,B) | para(A,c5,B,c8). [resolve(5300,a,155,b)].
% 71.48/71.84 5468 -midp(A,c8,B) | para(c5,A,c8,B). [resolve(5300,a,155,a)].
% 71.48/71.84 5694 para(c7,c6,c2,c3). [resolve(5011,a,395,a)].
% 71.48/71.84 5718 perp(c2,c3,c1,c2). [resolve(5011,a,119,a)].
% 71.48/71.84 5719 perp(c1,c2,c3,c2). [resolve(5011,a,118,a)].
% 71.48/71.84 5798 midp(c2,c5,c5). [resolve(5065,a,173,a),unit_del(a,815)].
% 71.48/71.84 5805 cong(c3,c5,c3,c5). [back_unit_del(1825),unit_del(a,5798)].
% 71.48/71.84 5808 midp(c2,c4,c4). [resolve(5798,a,2027,a)].
% 71.48/71.84 5885 cong(c2,c4,c2,c4). [resolve(5808,a,174,a)].
% 71.48/71.84 5935 para(A,A,c2,c2). [resolve(5200,a,116,a)].
% 71.48/71.84 5952 para(c3,c2,c5,c5). [resolve(5223,a,116,a)].
% 71.48/71.84 5969 para(c2,c3,c5,c5). [resolve(5224,a,116,a)].
% 71.48/71.84 6009 -midp(A,c3,c2) | midp(A,c2,c2). [resolve(5238,a,312,b)].
% 71.48/71.84 6098 para(c1,c3,c2,c1). [resolve(5315,a,115,a)].
% 71.48/71.84 6204 cong(c5,c1,c1,c5). [resolve(5342,a,133,a)].
% 71.48/71.84 6234 -midp(A,c3,c3) | midp(A,c2,c3). [resolve(5348,a,170,b),unit_del(b,5361)].
% 71.48/71.84 6442 cong(c5,c8,c8,c5). [resolve(5464,a,133,a)].
% 71.48/71.84 6535 para(c2,c3,c7,c6). [resolve(5694,a,116,a)].
% 71.48/71.84 6550 perp(c2,c3,c2,c1). [resolve(5718,a,118,a)].
% 71.48/71.84 6564 perp(c3,c2,c1,c2). [resolve(5719,a,119,a)].
% 71.48/71.84 6695 midp(c3,c5,c5). [resolve(5805,a,173,a),unit_del(a,880)].
% 71.48/71.84 6697 -cong(c3,A,c3,A) | perp(c3,c3,c5,A). [resolve(5805,a,162,a)].
% 71.48/71.84 6702 midp(c3,c4,c4). [resolve(6695,a,2027,a)].
% 71.48/71.84 6777 cong(c3,c4,c3,c4). [resolve(6702,a,174,a)].
% 71.48/71.84 6850 perp(c4,c4,c4,c4). [resolve(5885,a,337,c),unit_del(a,2386)].
% 71.48/71.84 6900 -para(c2,c2,A,B) | para(C,C,A,B). [resolve(5935,a,117,a)].
% 71.48/71.84 6915 -para(A,B,c3,c2) | para(A,B,c5,c5). [resolve(5952,a,117,b)].
% 71.48/71.84 6930 -perp(c5,c5,A,B) | perp(c2,c3,A,B). [resolve(5969,a,121,a)].
% 71.48/71.84 6995 -midp(A,c1,c2) | -para(c1,c1,c2,c3) | midp(A,c3,c1). [resolve(6098,a,170,b)].
% 71.48/71.84 7063 cong(c1,c5,c5,c1). [resolve(6204,a,134,a)].
% 71.48/71.84 7194 cong(c8,c5,c5,c8). [resolve(6442,a,134,a)].
% 71.48/71.84 7258 para(c2,c3,c6,c7). [resolve(6535,a,115,a)].
% 71.48/71.84 7287 perp(c2,c1,c2,c3). [resolve(6550,a,119,a)].
% 71.48/71.84 7293 perp(c3,c2,c2,c1). [resolve(6564,a,118,a)].
% 71.48/71.84 7404 -midp(A,c4,c4) | cong(c4,A,c4,A). [resolve(6850,a,159,a)].
% 71.48/71.84 7435 cong(c1,c5,c1,c5). [resolve(7063,a,133,a)].
% 71.48/71.84 7451 cong(c8,c5,c8,c5). [resolve(7194,a,133,a)].
% 71.48/71.84 7481 para(c6,c7,c2,c3). [resolve(7258,a,116,a)].
% 71.48/71.84 7510 perp(c2,c1,c3,c2). [resolve(7287,a,118,a)].
% 71.48/71.84 7530 -midp(c2,c2,c1) | cong(c3,c2,c3,c1). [resolve(7293,a,161,b)].
% 71.48/71.84 7639 midp(c1,c5,c5). [resolve(7435,a,173,a),unit_del(a,2993)].
% 71.48/71.84 7646 midp(c1,c4,c4). [resolve(7639,a,2027,a)].
% 71.48/71.84 7685 -midp(A,c5,B) | para(c1,A,c5,B). [resolve(7639,a,155,a)].
% 71.48/71.84 7787 midp(c8,c5,c5). [resolve(7451,a,173,a),unit_del(a,632)].
% 71.48/71.84 7794 midp(c8,c4,c4). [resolve(7787,a,2027,a)].
% 71.48/71.84 7888 -perp(c2,c3,A,B) | perp(c6,c7,A,B). [resolve(7481,a,121,a)].
% 71.48/71.84 8713 midp(c5,c4,c4). [resolve(2451,a,5220,a)].
% 71.48/71.84 8772 midp(c5,c5,c5). [resolve(8713,a,2000,a)].
% 71.48/71.84 8786 para(c3,c4,c2,c4). [resolve(8713,a,374,a)].
% 71.48/71.84 8858 para(c2,c5,c3,c5). [resolve(8772,a,533,a)].
% 71.48/71.84 8971 -midp(A,c3,c2) | midp(A,c4,c4). [resolve(8786,a,312,b)].
% 71.48/71.84 9093 -midp(A,c2,c3) | midp(A,c5,c5). [resolve(8858,a,312,b)].
% 71.48/71.84 9315 para(c5,c5,A,A). [resolve(966,a,5200,a)].
% 71.48/71.84 9320 -perp(A,A,B,C) | perp(c5,c5,B,C). [resolve(9315,a,121,a)].
% 71.48/71.84 9321 -para(A,B,c5,c5) | para(A,B,C,C). [resolve(9315,a,117,b)].
% 71.48/71.84 9617 perp(c3,c3,c2,c2). [resolve(978,a,5113,a)].
% 71.48/71.84 9630 perp(c2,c2,c3,c3). [resolve(9617,a,119,a)].
% 71.48/71.84 9642 -perp(c3,c3,A,B) | para(c2,c2,A,B). [resolve(9630,a,120,a)].
% 71.48/71.84 10435 midp(c8,c1,c1). [resolve(2522,a,7794,a)].
% 71.48/71.84 10436 midp(c1,c1,c1). [resolve(2522,a,7646,a)].
% 71.48/71.84 10437 midp(c3,c1,c1). [resolve(2522,a,6702,a)].
% 71.48/71.84 10438 midp(c2,c1,c1). [resolve(2522,a,5808,a)].
% 71.48/71.84 10449 midp(c8,c2,c2). [resolve(10435,a,1468,a)].
% 71.48/71.84 10490 midp(c1,c2,c2). [resolve(10436,a,1468,a)].
% 71.48/71.84 10537 midp(c3,c2,c2). [resolve(10437,a,1468,a)].
% 71.48/71.84 10593 midp(c2,c2,c2). [resolve(10438,a,1468,a)].
% 71.48/71.84 10626 cong(c2,c1,c2,c1). [resolve(10438,a,174,a)].
% 71.48/71.84 10635 cong(c3,c2,c3,c2). [back_unit_del(1129),unit_del(a,10593)].
% 71.48/71.84 10685 para(c5,c8,c3,c2). [resolve(10449,a,535,a)].
% 71.48/71.84 10762 midp(c1,c3,c3). [resolve(10490,a,1373,a)].
% 71.48/71.84 10840 midp(c3,c3,c3). [resolve(10537,a,1373,a)].
% 71.48/71.84 10919 midp(c2,c3,c3). [resolve(10593,a,1373,a)].
% 71.48/71.84 10961 cong(c3,c3,c3,c3). [back_unit_del(1812),unit_del(a,10919)].
% 71.48/71.84 11017 para(c1,c5,c3,c2). [resolve(10762,a,375,a)].
% 71.48/71.84 11187 perp(c2,c2,c1,c1). [resolve(10626,a,308,a)].
% 71.48/71.84 11250 -para(A,B,c5,c8) | para(A,B,c3,c2). [resolve(10685,a,117,b)].
% 71.48/71.84 11252 para(c3,c2,c5,c8). [resolve(10685,a,116,a)].
% 71.48/71.84 11459 -cong(c3,A,c3,A) | perp(c3,c3,A,c3). [resolve(10961,a,162,b)].
% 71.48/71.84 11515 -perp(c3,c2,A,B) | perp(c1,c5,A,B). [resolve(11017,a,121,a)].
% 71.48/71.84 11606 -perp(c5,c8,A,B) | perp(c3,c2,A,B). [resolve(11252,a,121,a)].
% 71.48/71.84 12568 para(c2,c1,c2,c2). [resolve(1131,a,7510,a)].
% 71.48/71.84 12577 para(c2,c2,c2,c1). [resolve(12568,a,116,a)].
% 71.48/71.84 12597 -midp(A,c2,c2) | midp(A,c1,c2). [resolve(12577,a,170,c),unit_del(b,12568)].
% 71.48/71.84 12605 para(c3,c2,c1,c1). [resolve(1132,a,11187,a)].
% 71.48/71.84 12652 para(c1,c1,c3,c2). [resolve(12605,a,116,a)].
% 71.48/71.84 12696 para(c1,c1,c2,c3). [resolve(12652,a,115,a)].
% 71.48/71.84 12697 -midp(A,c1,c2) | midp(A,c3,c1). [back_unit_del(6995),unit_del(b,12696)].
% 71.48/71.84 12907 midp(c3,c3,c2). [resolve(1156,a,10919,a),unit_del(a,654)].
% 71.48/71.84 14738 midp(c1,c1,c2). [resolve(1460,a,10438,a),unit_del(a,602)].
% 71.48/71.84 14749 cong(c1,c1,c1,c2). [resolve(14738,a,174,a)].
% 71.48/71.84 14754 midp(c1,c2,c1). [resolve(14738,a,122,a)].
% 71.48/71.84 14772 cyclic(c1,c2,c2,c2). [resolve(14749,a,352,a)].
% 71.48/71.84 14821 cyclic(c2,c1,c2,c2). [resolve(14772,a,126,a)].
% 71.48/71.84 14878 cyclic(c2,c2,c1,c2). [resolve(14821,a,125,a)].
% 71.48/71.84 14988 cyclic(c2,c2,c2,c1). [resolve(14878,a,124,a)].
% 71.48/71.84 15072 midp(c2,c1,c2). [resolve(1476,a,10436,a),unit_del(a,605)].
% 71.48/71.84 15076 midp(c3,c1,c3). [resolve(15072,a,1381,a),unit_del(a,2874)].
% 71.48/71.84 15092 midp(c2,c2,c1). [resolve(15072,a,122,a)].
% 71.48/71.84 15095 cong(c3,c2,c3,c1). [back_unit_del(7530),unit_del(a,15092)].
% 71.48/71.84 15108 cong(c3,c1,c3,c3). [resolve(15076,a,174,a)].
% 71.48/71.84 15113 midp(c3,c3,c1). [resolve(15076,a,122,a)].
% 71.48/71.84 15126 cong(c2,c2,c2,c1). [resolve(15092,a,174,a)].
% 71.48/71.84 15149 cong(c3,c3,c3,c1). [resolve(15113,a,174,a)].
% 71.48/71.84 15393 cong(c3,c2,c1,c3). [resolve(15095,a,133,a)].
% 71.48/71.84 15396 cyclic(c1,c3,c3,c3). [resolve(15108,a,352,a)].
% 71.48/71.84 15437 cong(c2,c2,c1,c2). [resolve(15126,a,133,a)].
% 71.48/71.84 15469 cong(c3,c3,c1,c3). [resolve(15149,a,133,a)].
% 71.48/71.84 15592 cong(c1,c3,c3,c2). [resolve(15393,a,134,a)].
% 71.48/71.84 15593 -cong(c1,c3,c3,c3) | perp(c3,c1,c1,c3). [resolve(15396,a,309,b)].
% 71.48/71.84 15631 cong(c1,c2,c2,c2). [resolve(15437,a,134,a)].
% 71.48/71.84 15668 cong(c1,c3,c3,c3). [resolve(15469,a,134,a)].
% 71.48/71.84 15669 perp(c3,c1,c1,c3). [back_unit_del(15593),unit_del(a,15668)].
% 71.48/71.84 15753 cong(c1,c3,c2,c3). [resolve(15592,a,133,a)].
% 71.48/71.84 15849 perp(c1,c3,c3,c1). [resolve(15669,a,119,a)].
% 71.48/71.84 15975 cong(c1,c3,c1,c1). [resolve(15849,a,161,b),unit_del(a,15113)].
% 71.48/71.84 16073 midp(c1,c3,c1). [resolve(15975,a,173,a),unit_del(a,2879)].
% 71.48/71.84 17322 cyclic(c2,c2,c1,c3). [resolve(1756,a,14988,a)].
% 71.48/71.84 17324 cyclic(c2,c1,c2,c3). [resolve(17322,a,125,a)].
% 71.48/71.84 17331 cyclic(c1,c2,c2,c3). [resolve(17324,a,126,a)].
% 71.48/71.84 17341 perp(c2,c1,c1,c3). [resolve(17331,a,163,c),unit_del(a,15631),unit_del(b,15753)].
% 71.48/71.84 17372 perp(c1,c2,c1,c3). [resolve(17341,a,1664,a)].
% 71.48/71.84 18253 midp(c4,c4,c5). [resolve(1992,a,8713,a),unit_del(a,588)].
% 71.48/71.84 18261 -midp(c4,A,B) | para(c4,A,c5,B). [resolve(18253,a,169,a)].
% 71.48/71.84 18264 midp(c4,c5,c4). [resolve(18253,a,122,a)].
% 71.48/71.84 18274 -midp(A,c5,B) | para(c4,A,c4,B). [resolve(18264,a,155,a)].
% 71.48/71.84 18609 midp(c1,c1,c8). [resolve(2050,a,10435,a),unit_del(a,2068)].
% 71.48/71.84 18620 midp(c1,c8,c1). [resolve(18609,a,122,a)].
% 71.48/71.84 20130 midp(c4,c8,c4). [resolve(2460,a,18620,a),unit_del(a,622)].
% 71.48/71.84 20131 midp(c4,c3,c4). [resolve(2460,a,16073,a),unit_del(a,2330)].
% 71.48/71.84 20132 midp(c4,c2,c4). [resolve(2460,a,14754,a),unit_del(a,2349)].
% 71.48/71.84 20133 midp(c4,c1,c4). [resolve(2460,a,10436,a),unit_del(a,2466)].
% 71.48/71.84 20134 midp(c5,c8,c5). [resolve(20130,a,2008,a),unit_del(a,564)].
% 71.48/71.84 20159 midp(c4,c4,c3). [resolve(20131,a,122,a)].
% 71.48/71.84 20173 midp(c4,c4,c2). [resolve(20132,a,122,a)].
% 71.48/71.84 20174 midp(c5,c1,c5). [resolve(20133,a,2008,a),unit_del(a,2895)].
% 71.48/71.84 20199 midp(c5,c5,c8). [resolve(20134,a,122,a)].
% 71.48/71.84 20225 cong(c4,c4,c4,c3). [resolve(20159,a,174,a)].
% 71.48/71.84 20371 cyclic(c4,c3,c3,c3). [resolve(20225,a,352,a)].
% 71.48/71.84 20767 cyclic(c3,c4,c3,c3). [resolve(20371,a,126,a)].
% 71.48/71.84 21041 coll(c9,c7,c8). [resolve(2602,a,4921,a)].
% 71.48/71.84 21042 perp(c7,c5,c5,c8). [back_unit_del(288),unit_del(a,21041)].
% 71.48/71.84 21342 cyclic(c3,c3,c4,c3). [resolve(20767,a,125,a)].
% 71.48/71.84 21595 cong(c7,c5,c7,c8). [resolve(21042,a,161,b),unit_del(a,20199)].
% 71.48/71.84 21597 perp(c5,c8,c7,c5). [resolve(21042,a,119,a)].
% 71.48/71.84 21740 cyclic(c3,c3,c3,c4). [resolve(21342,a,124,a)].
% 71.48/71.84 22023 midp(c7,c5,c8). [resolve(21595,a,173,a),unit_del(a,2832)].
% 71.48/71.84 22038 midp(c7,c8,c5). [resolve(22023,a,122,a)].
% 71.48/71.84 22047 -midp(A,c8,B) | para(c7,A,c5,B). [resolve(22038,a,155,a)].
% 71.48/71.84 22174 cyclic(c3,c3,c2,c4). [resolve(21740,a,1803,a)].
% 71.48/71.84 22175 cyclic(c3,c3,c4,c2). [resolve(21740,a,1802,a)].
% 71.48/71.84 22302 perp(c2,c3,c3,c4). [resolve(22174,a,163,c),unit_del(a,10635),unit_del(b,6777)].
% 71.48/71.84 22305 perp(c4,c3,c3,c2). [resolve(22175,a,163,c),unit_del(a,6777),unit_del(b,10635)].
% 71.48/71.84 22419 para(c3,c3,c3,c4). [resolve(22302,a,1519,a)].
% 71.48/71.84 22436 cong(c4,c3,c4,c2). [resolve(22305,a,161,b),unit_del(a,12907)].
% 71.48/71.84 22550 para(c3,c4,c3,c3). [resolve(22419,a,116,a)].
% 71.48/71.84 22593 midp(c4,c3,c2). [resolve(22436,a,173,a),unit_del(a,3721)].
% 71.48/71.84 22599 midp(c4,c2,c3). [resolve(22593,a,122,a)].
% 71.48/71.84 22602 para(c4,c5,c3,c3). [resolve(22599,a,534,a)].
% 71.48/71.84 26156 perp(c4,c2,c4,c5). [resolve(3609,a,179,a),unit_del(a,17372)].
% 71.48/71.84 26163 perp(c4,c5,c4,c2). [resolve(26156,a,119,a)].
% 71.48/71.84 26167 perp(c5,c4,c4,c2). [resolve(26163,a,1994,a)].
% 71.48/71.84 26177 cong(c5,c4,c5,c2). [resolve(26167,a,161,b),unit_del(a,20173)].
% 71.48/71.84 26185 cong(c5,c4,c5,c3). [resolve(26177,a,1085,a)].
% 71.48/71.84 26203 midp(c5,c4,c3). [resolve(26185,a,173,a),unit_del(a,2317)].
% 71.48/71.84 26205 midp(c5,c3,c4). [resolve(26203,a,122,a)].
% 71.48/71.84 31436 para(c4,c5,A,A). [resolve(4584,a,22602,a)].
% 71.48/71.84 31438 para(c3,c4,A,A). [resolve(4584,a,22550,a)].
% 71.48/71.84 35523 para(c3,c1,c4,c1). [resolve(5343,a,26205,a)].
% 71.48/71.84 35532 para(c3,c1,c1,c4). [resolve(35523,a,115,a)].
% 71.48/71.84 35565 -midp(A,c3,c1) | midp(A,c1,c4). [resolve(35532,a,170,b),unit_del(b,31438)].
% 71.48/71.84 36007 para(c7,c5,c5,c8). [resolve(5467,a,22038,a)].
% 71.48/71.84 36018 para(c5,c7,c8,c5). [resolve(5468,a,22038,a)].
% 71.48/71.84 36033 para(c5,c8,c7,c5). [resolve(36007,a,116,a)].
% 71.48/71.84 36045 para(c5,c7,c5,c8). [resolve(36018,a,115,a)].
% 71.48/71.84 36047 para(c5,c8,c5,c7). [resolve(36033,a,115,a)].
% 71.48/71.84 36056 -midp(A,c5,c5) | midp(A,c8,c7). [resolve(36047,a,170,b),unit_del(b,36045)].
% 71.48/71.84 39361 para(c1,c7,c5,c8). [resolve(7685,a,22023,a)].
% 71.48/71.84 44397 para(c1,c7,c3,c2). [resolve(11250,a,39361,a)].
% 71.48/71.84 44581 para(c1,c7,c5,c5). [resolve(44397,a,6915,a)].
% 71.48/71.84 44950 para(c1,c7,A,A). [resolve(44581,a,9321,a)].
% 71.48/71.84 45414 para(A,A,c1,c7). [resolve(44950,a,116,a)].
% 71.48/71.84 45508 perp(c3,c2,c7,c5). [resolve(11606,a,21597,a)].
% 71.48/71.84 45810 perp(c1,c5,c7,c5). [resolve(45508,a,11515,a)].
% 71.48/71.84 45823 perp(c7,c5,c3,c2). [resolve(45508,a,119,a)].
% 71.48/71.84 45922 perp(c7,c5,c1,c5). [resolve(45810,a,119,a)].
% 71.48/71.84 45940 cong(c7,c3,c7,c2). [resolve(45823,a,161,b),unit_del(a,211)].
% 71.57/71.84 45959 cong(c7,c1,c7,c5). [resolve(45922,a,161,b),unit_del(a,20174)].
% 71.57/71.84 45973 midp(c7,c3,c2). [resolve(45940,a,173,a),unit_del(a,2548)].
% 71.57/71.84 45976 midp(c7,c4,c4). [resolve(45973,a,8971,a)].
% 71.57/71.84 45980 midp(c7,c2,c2). [resolve(45973,a,6009,a)].
% 71.57/71.84 45981 cong(c3,c7,c3,c7). [resolve(45973,a,1712,a)].
% 71.57/71.84 45985 cong(c4,c7,c4,c7). [resolve(45976,a,7404,a)].
% 71.57/71.84 46000 midp(c7,c1,c5). [resolve(45959,a,173,a),unit_del(a,2822)].
% 71.57/71.84 46002 midp(c7,c5,c1). [resolve(46000,a,122,a)].
% 71.57/71.84 46025 midp(c3,c7,c7). [resolve(45981,a,173,a),unit_del(a,2747)].
% 71.57/71.84 46039 midp(c3,c9,c9). [resolve(46025,a,3614,a)].
% 71.57/71.84 46053 cong(c3,c9,c3,c9). [resolve(46039,a,174,a)].
% 71.57/71.84 46106 midp(c4,c7,c7). [resolve(45985,a,173,a),unit_del(a,2719)].
% 71.57/71.84 46236 perp(c3,c3,c9,c3). [resolve(46053,a,11459,a)].
% 71.57/71.84 46245 perp(c3,c3,c5,c9). [resolve(46053,a,6697,a)].
% 71.57/71.84 46668 perp(c9,c3,c3,c3). [resolve(46236,a,119,a)].
% 71.57/71.84 46767 para(c2,c2,c5,c9). [resolve(46245,a,9642,a)].
% 71.57/71.84 47072 midp(c7,c1,c2). [resolve(12597,a,45980,a)].
% 71.57/71.84 47379 cong(c9,c3,c9,c3). [resolve(46668,a,161,b),unit_del(a,10840)].
% 71.57/71.84 47609 midp(c7,c3,c1). [resolve(12697,a,47072,a)].
% 71.57/71.84 47713 para(A,A,c5,c9). [resolve(46767,a,6900,a)].
% 71.57/71.84 48425 midp(c9,c3,c3). [resolve(47379,a,173,a),unit_del(a,4342)].
% 71.57/71.84 48431 midp(c9,c2,c3). [resolve(48425,a,6234,a)].
% 71.57/71.84 48478 midp(c9,c5,c5). [resolve(48431,a,9093,a)].
% 71.57/71.84 49994 para(c4,c7,c5,c7). [resolve(18261,a,46106,a)].
% 71.57/71.84 50021 para(c4,c7,c7,c5). [resolve(49994,a,115,a)].
% 71.57/71.84 50041 para(c4,c7,c4,c1). [resolve(18274,a,46002,a)].
% 71.57/71.84 50051 -midp(A,c4,c7) | midp(A,c7,c5). [resolve(50021,a,170,b),unit_del(b,31436)].
% 71.57/71.84 50065 para(c4,c7,c1,c4). [resolve(50041,a,115,a)].
% 71.57/71.84 50114 -midp(A,c4,c1) | midp(A,c4,c7). [resolve(50065,a,170,c),unit_del(b,45414)].
% 71.57/71.84 57809 midp(c7,c1,c4). [resolve(35565,a,47609,a)].
% 71.57/71.84 57852 midp(c7,c4,c1). [resolve(57809,a,122,a)].
% 71.57/71.84 58230 midp(c9,c8,c7). [resolve(36056,a,48478,a)].
% 71.57/71.84 58328 para(c7,c9,c5,c7). [resolve(58230,a,22047,a)].
% 71.57/71.84 58529 -midp(A,c7,c5) | midp(A,c7,c9). [resolve(58328,a,170,c),unit_del(b,47713)].
% 71.57/71.84 59953 midp(c7,c4,c7). [resolve(50114,a,57852,a)].
% 71.57/71.84 60181 midp(c7,c7,c5). [resolve(59953,a,50051,a)].
% 71.57/71.84 66162 midp(c7,c7,c9). [resolve(58529,a,60181,a)].
% 71.57/71.84 66179 cong(c7,c7,c7,c9). [resolve(66162,a,174,a)].
% 71.57/71.84 66197 cong(c7,c7,c9,c7). [resolve(66179,a,133,a)].
% 71.57/71.84 66213 perp(c7,c9,c7,c7). [resolve(66197,a,308,a)].
% 71.57/71.84 66232 perp(c7,c7,c7,c9). [resolve(66213,a,119,a)].
% 71.57/71.84 66251 perp(c5,c5,c7,c9). [resolve(66232,a,9320,a)].
% 71.57/71.84 66275 perp(c2,c3,c7,c9). [resolve(66251,a,6930,a)].
% 71.57/71.84 66297 $F. [resolve(66275,a,7888,a),unit_del(a,217)].
% 71.57/71.84
% 71.57/71.84 % SZS output end Refutation
% 71.57/71.84 ============================== end of proof ==========================
% 71.57/71.84
% 71.57/71.84 ============================== STATISTICS ============================
% 71.57/71.84
% 71.57/71.84 Given=41644. Generated=655399. Kept=66165. proofs=1.
% 71.57/71.84 Usable=39849. Sos=8794. Demods=0. Limbo=10, Disabled=17695. Hints=0.
% 71.57/71.84 Megabytes=29.24.
% 71.57/71.84 User_CPU=70.43, System_CPU=0.37, Wall_clock=71.
% 71.57/71.84
% 71.57/71.84 ============================== end of statistics =====================
% 71.57/71.84
% 71.57/71.84 ============================== end of search =========================
% 71.57/71.84
% 71.57/71.84 THEOREM PROVED
% 71.57/71.84 % SZS status Theorem
% 71.57/71.84
% 71.57/71.84 Exiting with 1 proof.
% 71.57/71.84
% 71.57/71.84 Process 21669 exit (max_proofs) Fri Jun 17 18:49:31 2022
% 71.57/71.84 Prover9 interrupted
%------------------------------------------------------------------------------