TSTP Solution File: GEO614+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 70.72s 71.00s
% Output : Refutation 70.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 12:22:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.81/1.07 ============================== Prover9 ===============================
% 0.81/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.07 Process 28597 was started by sandbox on n008.cluster.edu,
% 0.81/1.07 Sat Jun 18 12:22:23 2022
% 0.81/1.07 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28444_n008.cluster.edu".
% 0.81/1.07 ============================== end of head ===========================
% 0.81/1.07
% 0.81/1.07 ============================== INPUT =================================
% 0.81/1.07
% 0.81/1.07 % Reading from file /tmp/Prover9_28444_n008.cluster.edu
% 0.81/1.07
% 0.81/1.07 set(prolog_style_variables).
% 0.81/1.07 set(auto2).
% 0.81/1.07 % set(auto2) -> set(auto).
% 0.81/1.07 % set(auto) -> set(auto_inference).
% 0.81/1.07 % set(auto) -> set(auto_setup).
% 0.81/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.07 % set(auto) -> set(auto_limits).
% 0.81/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.07 % set(auto) -> set(auto_denials).
% 0.81/1.07 % set(auto) -> set(auto_process).
% 0.81/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.07 % set(auto2) -> assign(stats, some).
% 0.81/1.07 % set(auto2) -> clear(echo_input).
% 0.81/1.07 % set(auto2) -> set(quiet).
% 0.81/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.07 % set(auto2) -> clear(print_given).
% 0.81/1.07 assign(lrs_ticks,-1).
% 0.81/1.07 assign(sos_limit,10000).
% 0.81/1.07 assign(order,kbo).
% 0.81/1.07 set(lex_order_vars).
% 0.81/1.07 clear(print_given).
% 0.81/1.07
% 0.81/1.07 % formulas(sos). % not echoed (95 formulas)
% 0.81/1.07
% 0.81/1.07 ============================== end of input ==========================
% 0.81/1.07
% 0.81/1.07 % From the command line: assign(max_seconds, 300).
% 0.81/1.07
% 0.81/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.07
% 0.81/1.07 % Formulas that are not ordinary clauses:
% 0.81/1.07 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.07 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].
% 0.81/1.08 16 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(B,A,C,D))) # label(ruleD16) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 17 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 18 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(B,A,C,D,P,Q,U,V))) # label(ruleD18) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 19 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 20 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(P,Q,U,V,A,B,C,D))) # label(ruleD20) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 21 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 22 (all A all B all C all D all P all Q all U all V all E all F all G all H (eqangle(A,B,C,D,P,Q,U,V) & eqangle(P,Q,U,V,E,F,G,H) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 23 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 24 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 25 (all A all B all C all D all E all F (cong(A,B,C,D) & cong(C,D,E,F) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 26 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(B,A,C,D,P,Q,U,V))) # label(ruleD26) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 27 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(C,D,A,B,U,V,P,Q))) # label(ruleD27) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 28 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(P,Q,U,V,A,B,C,D))) # label(ruleD28) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 29 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(A,B,P,Q,C,D,U,V))) # label(ruleD29) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 30 (all A all B all C all D all E all F all G all H all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & eqratio(P,Q,U,V,E,F,G,H) -> eqratio(A,B,C,D,E,F,G,H))) # label(ruleD30) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 31 (all A all B all C all P all Q all R (simtri(A,C,B,P,R,Q) -> simtri(A,B,C,P,Q,R))) # label(ruleD31) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 32 (all A all B all C all P all Q all R (simtri(B,A,C,Q,P,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD32) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 33 (all A all B all C all P all Q all R (simtri(P,Q,R,A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD33) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 34 (all A all B all C all E all F all G all P all Q all R (simtri(A,B,C,E,F,G) & simtri(E,F,G,P,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD34) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 35 (all A all B all C all P all Q all R (contri(A,C,B,P,R,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD35) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 36 (all A all B all C all P all Q all R (contri(B,A,C,Q,P,R) -> contri(A,B,C,P,Q,R))) # label(ruleD36) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 37 (all A all B all C all P all Q all R (contri(P,Q,R,A,B,C) -> contri(A,B,C,P,Q,R))) # label(ruleD37) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 38 (all A all B all C all E all F all G all P all Q all R (contri(A,B,C,E,F,G) & contri(E,F,G,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 39 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 41 (all A all B all P all Q (cyclic(A,B,P,Q) -> eqangle(P,A,P,B,Q,A,Q,B))) # label(ruleD41) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 42 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & -coll(P,Q,A) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 43 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 45 (all A all B all C all E all F (midp(E,A,B) & midp(F,A,C) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 46 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 47 (all A all B all O (cong(O,A,O,B) -> eqangle(O,A,A,B,A,B,O,B))) # label(ruleD46) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 48 (all A all B all O (eqangle(O,A,A,B,A,B,O,B) & -coll(O,A,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 49 (all A all B all C all O all X (circle(O,A,B,C) & perp(O,A,A,X) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 50 (all A all B all C all O all X (circle(O,A,B,C) & eqangle(A,X,A,B,C,A,C,B) -> perp(O,A,A,X))) # label(ruleD49) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 51 (all A all B all C all O all M (circle(O,A,B,C) & midp(M,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 53 (all A all B all C all M (perp(A,B,B,C) & midp(M,A,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 54 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 55 (all A all B all C all D (cyclic(A,B,C,D) & para(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 59 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & eqangle(A,C,B,C,P,R,Q,R) & -coll(A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 60 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqratio(A,B,A,C,P,Q,P,R))) # label(ruleD59) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 61 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqangle(A,B,B,C,P,Q,Q,R))) # label(ruleD60) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 62 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) & cong(A,B,P,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 63 (all A all B all C all P all Q all R (contri(A,B,C,P,Q,R) -> cong(A,B,P,Q))) # label(ruleD62) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 64 (all A all B all C all D all M (midp(M,A,B) & midp(M,C,D) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 66 (all A all B all C all D all O (para(A,B,C,D) & coll(O,A,C) & coll(O,B,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 68 (all A all B all C (cong(A,B,A,C) & coll(A,B,C) -> midp(A,B,C))) # label(ruleD67) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 71 (all A all B all C all D all M all N (midp(M,A,B) & midp(N,C,D) -> eqratio(M,A,A,B,N,C,C,D))) # label(ruleD70) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 72 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -para(A,B,C,D) -> perp(A,B,C,D))) # label(ruleD71) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 73 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -perp(A,B,C,D) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 74 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & para(P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 75 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & perp(P,Q,U,V) -> perp(A,B,C,D))) # label(ruleD74) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 76 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 77 (all A all M all O all X exists B (perp(O,M,M,A) & eqangle(X,O,M,O,M,O,A,O) -> coll(B,A,M) & coll(B,O,X))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 78 (all A all B all O all X exists M (cong(O,A,O,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 79 (all A all B all O all X exists M (perp(O,X,A,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 80 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 81 (all A all B all P all X all Y exists Q (eqangle(A,P,B,P,A,X,B,Y) & -coll(A,B,P) -> eqangle(A,P,B,P,A,Q,B,Q) & cyclic(X,B,P,Q))) # label(ruleX5) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 82 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> midp(P,A,D) & para(P,M,B,D) & para(P,N,A,C))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 83 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & midp(N,C,D) & coll(C,A,B) & coll(D,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 84 (all A all B all M all P all Q all R all M exists X (midp(M,A,B) & para(A,P,R,M) & para(A,P,B,Q) & coll(P,Q,R) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 85 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(O,C,O,P) & para(P,C,A,B) & cong(B,C,B,P))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 86 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,C) -> coll(P,C,B) & perp(A,P,C,B) & coll(Q,C,A) & perp(B,Q,C,A))) # label(ruleX10) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 87 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 88 (all A all B all C all D all M all N exists P exists Q (circle(M,A,B,C) & cong(M,A,M,D) & cong(N,A,N,B) & M != N -> coll(P,A,C) & cong(P,N,N,A) & coll(Q,B,D) & cong(Q,N,N,A))) # label(ruleX12) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 89 (all A all B all C all D all M exists O (cyclic(A,B,C,D) & para(A,B,C,D) & midp(M,A,B) -> circle(O,A,B,C))) # label(ruleX13) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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(exemplo6GDDFULL618076) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.81/1.08
% 0.81/1.08 ============================== end of process non-clausal formulas ===
% 0.81/1.08
% 0.81/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.08
% 0.81/1.08 ============================== PREDICATE ELIMINATION =================
% 0.81/1.08 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)].
% 0.81/1.08 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 100 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.81/1.08 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)].
% 0.81/1.08 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.81/1.08 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)].
% 0.81/1.08 103 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 104 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 105 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 106 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 107 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 108 -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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 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)].
% 0.81/1.08 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 0.81/1.08 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.81/1.08 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.81/1.08 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.81/1.08 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.81/1.08 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.81/1.08 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.81/1.08 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)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 110 circle(c4,c1,c6,c10) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 2.44/2.70 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c6,c10,c1,c10,c6). [resolve(110,a,96,a)].
% 2.44/2.70 Derived: -eqangle(c1,A,c1,c6,c10,c1,c10,c6) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 2.44/2.70 Derived: -midp(A,c6,c10) | eqangle(c1,c6,c1,c10,c4,c6,c4,A). [resolve(110,a,99,a)].
% 2.44/2.70 Derived: -coll(A,c6,c10) | -eqangle(c1,c6,c1,c10,c4,c6,c4,A) | midp(A,c6,c10). [resolve(110,a,100,a)].
% 2.44/2.70 Derived: -coll(c4,c1,c10) | perp(c1,c6,c6,c10). [resolve(110,a,101,a)].
% 2.44/2.70 Derived: perp(f12(c1,c6,c10,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 111 circle(c9,c7,c5,c8) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 2.44/2.70 Derived: -perp(c9,c7,c7,A) | eqangle(c7,A,c7,c5,c8,c7,c8,c5). [resolve(111,a,96,a)].
% 2.44/2.70 Derived: -eqangle(c7,A,c7,c5,c8,c7,c8,c5) | perp(c9,c7,c7,A). [resolve(111,a,98,a)].
% 2.44/2.70 Derived: -midp(A,c5,c8) | eqangle(c7,c5,c7,c8,c9,c5,c9,A). [resolve(111,a,99,a)].
% 2.44/2.70 Derived: -coll(A,c5,c8) | -eqangle(c7,c5,c7,c8,c9,c5,c9,A) | midp(A,c5,c8). [resolve(111,a,100,a)].
% 2.44/2.70 Derived: -coll(c9,c7,c8) | perp(c7,c5,c5,c8). [resolve(111,a,101,a)].
% 2.44/2.70 Derived: perp(f12(c7,c5,c8,c9),c7,c7,c9). [resolve(111,a,102,a)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70 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)].
% 2.44/2.70
% 2.44/2.70 ============================== end predicate elimination =============
% 2.44/2.70
% 2.44/2.70 Auto_denials: (non-Horn, no changes).
% 2.44/2.70
% 2.44/2.70 Term ordering decisions:
% 2.44/2.70 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.
% 2.44/2.70
% 2.44/2.70 ============================== end of process initial clauses ========
% 2.44/2.70
% 2.44/2.70 ============================== CLAUSES FOR SEARCH ====================
% 2.44/2.70
% 2.44/2.70 ============================== end of clauses for search =============
% 2.44/2.70
% 2.44/2.70 ============================== SEARCH ================================
% 2.44/2.70
% 2.44/2.70 % Starting search at 0.05 seconds.
% 2.44/2.70
% 2.44/2.70 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1039 (0.00 of 0.19 sec).
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=48.000, iters=3369
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=47.000, iters=3335
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=29.000, iters=3418
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=28.000, iters=3353
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=24.000, iters=3347
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=23.000, iters=3345
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=22.000, iters=3368
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=19.000, iters=3336
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=18.000, iters=3355
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=15.000, iters=3346
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=14.000, iters=3340
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=13.000, iters=3470
% 2.44/2.70
% 2.44/2.70 Low Water (displace): id=7155, wt=48.000
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=12.000, iters=3353
% 2.44/2.70
% 2.44/2.70 Low Water (displace): id=13302, wt=10.000
% 2.44/2.70
% 2.44/2.70 Low Water (displace): id=13306, wt=9.000
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=11.000, iters=3333
% 2.44/2.70
% 2.44/2.70 Low Water (displace): id=13923, wt=7.000
% 2.44/2.70
% 2.44/2.70 Low Water (keep): wt=10.000, iters=3336
% 70.72/71.00
% 70.72/71.00 Low Water (displace): id=20437, wt=5.000
% 70.72/71.00
% 70.72/71.00 Low Water (keep): wt=9.000, iters=3336
% 70.72/71.00
% 70.72/71.00 Low Water (keep): wt=8.000, iters=3333
% 70.72/71.00
% 70.72/71.00 Low Water (keep): wt=7.000, iters=3381
% 70.72/71.00
% 70.72/71.00 ============================== PROOF =================================
% 70.72/71.00 % SZS status Theorem
% 70.72/71.00 % SZS output start Refutation
% 70.72/71.00
% 70.72/71.00 % Proof 1 at 69.61 (+ 0.32) seconds.
% 70.72/71.00 % Length of proof is 597.
% 70.72/71.00 % Level of proof is 50.
% 70.72/71.00 % Maximum clause weight is 27.000.
% 70.72/71.00 % Given clauses 41644.
% 70.72/71.00
% 70.72/71.00 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 70.72/71.00 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 70.72/71.00 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].
% 70.72/71.00 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 70.72/71.00 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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].
% 70.72/71.00 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(exemplo6GDDFULL618076) # label(negated_conjecture) # label(non_clause). [assumption].
% 70.72/71.00 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 70.72/71.00 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)].
% 70.72/71.00 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 70.72/71.00 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 70.72/71.00 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 111 circle(c9,c7,c5,c8) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 70.72/71.00 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 70.72/71.00 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 70.72/71.00 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 70.72/71.00 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 70.72/71.00 117 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 70.72/71.00 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 70.72/71.00 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 70.72/71.00 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 70.72/71.00 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 70.72/71.00 122 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 70.72/71.00 123 -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)].
% 70.72/71.00 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 70.72/71.00 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 70.72/71.00 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 70.72/71.00 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 70.72/71.00 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 70.72/71.00 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 70.72/71.00 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 70.72/71.00 135 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 70.72/71.00 155 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 70.72/71.00 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 70.72/71.00 159 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 70.72/71.00 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 70.72/71.00 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 70.72/71.00 163 -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)].
% 70.72/71.00 169 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 70.72/71.00 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 70.72/71.00 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 70.72/71.00 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 70.72/71.00 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 70.72/71.00 175 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 70.72/71.00 179 -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)].
% 70.72/71.00 194 -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)].
% 70.72/71.00 211 midp(c5,c3,c2) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 212 coll(c6,c4,c5) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 213 perp(c7,c6,c1,c2) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 214 coll(c7,c1,c2) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 215 perp(c8,c1,c4,c5) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 216 coll(c8,c4,c5) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 217 -perp(c6,c7,c7,c9) # label(exemplo6GDDFULL618076) # label(negated_conjecture). [clausify(95)].
% 70.72/71.00 222 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 70.72/71.00 258 -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 70.72/71.00 260 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 70.72/71.00 261 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 70.72/71.00 288 -coll(c9,c7,c8) | perp(c7,c5,c5,c8). [resolve(111,a,101,a)].
% 70.72/71.00 289 perp(f12(c7,c5,c8,c9),c7,c7,c9). [resolve(111,a,102,a)].
% 70.72/71.00 298 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 70.72/71.00 300 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(123,a,b)].
% 70.72/71.00 307 -midp(A,B,C) | para(A,A,C,C). [factor(155,a,b)].
% 70.72/71.00 308 -cong(A,B,C,B) | perp(A,C,B,B). [factor(162,a,b)].
% 70.72/71.00 309 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(163,a,b)].
% 70.72/71.00 311 -midp(A,B,C) | para(B,B,C,C). [factor(169,a,b)].
% 70.72/71.00 312 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 70.72/71.00 337 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(222,c,d)].
% 70.72/71.00 352 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(300,a,b)].
% 70.72/71.00 361 -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)].
% 70.72/71.00 362 -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)].
% 70.72/71.00 371 coll(c5,c3,c2). [resolve(211,a,175,a)].
% 70.72/71.00 372 cong(c5,c3,c5,c2). [resolve(211,a,174,a)].
% 70.72/71.00 373 -midp(c5,A,B) | para(A,c3,B,c2). [resolve(211,a,169,b)].
% 70.72/71.00 374 -midp(c5,A,B) | para(c3,A,c2,B). [resolve(211,a,169,a)].
% 70.72/71.00 375 -midp(A,c3,B) | para(A,c5,B,c2). [resolve(211,a,155,b)].
% 70.72/71.00 377 midp(c5,c2,c3). [resolve(211,a,122,a)].
% 70.72/71.00 381 coll(c4,c6,c5). [resolve(212,a,113,a)].
% 70.72/71.00 394 -perp(A,B,c7,c6) | para(A,B,c1,c2). [resolve(213,a,120,b)].
% 70.72/71.00 395 -perp(c1,c2,A,B) | para(c7,c6,A,B). [resolve(213,a,120,a)].
% 70.72/71.00 396 perp(c1,c2,c7,c6). [resolve(213,a,119,a)].
% 70.72/71.00 397 perp(c7,c6,c2,c1). [resolve(213,a,118,a)].
% 70.72/71.00 400 coll(c1,c7,c2). [resolve(214,a,113,a)].
% 70.72/71.00 401 coll(c7,c2,c1). [resolve(214,a,112,a)].
% 70.72/71.00 413 -perp(A,B,c8,c1) | para(A,B,c4,c5). [resolve(215,a,120,b)].
% 70.72/71.00 414 -perp(c4,c5,A,B) | para(c8,c1,A,B). [resolve(215,a,120,a)].
% 70.72/71.00 415 perp(c4,c5,c8,c1). [resolve(215,a,119,a)].
% 70.72/71.00 416 perp(c8,c1,c5,c4). [resolve(215,a,118,a)].
% 70.72/71.00 419 coll(c4,c8,c5). [resolve(216,a,113,a)].
% 70.72/71.00 420 coll(c8,c5,c4). [resolve(216,a,112,a)].
% 70.72/71.00 441 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(261,a,120,b)].
% 70.72/71.00 443 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(261,a,119,a)].
% 70.72/71.00 491 -perp(A,B,f12(c7,c5,c8,c9),c7) | para(A,B,c7,c9). [resolve(289,a,120,b)].
% 70.72/71.00 493 perp(c7,c9,f12(c7,c5,c8,c9),c7). [resolve(289,a,119,a)].
% 70.72/71.00 496 coll(c5,c5,c8). [resolve(298,a,216,a)].
% 70.72/71.00 497 coll(c2,c2,c7). [resolve(298,a,214,a)].
% 70.72/71.00 499 para(c5,c5,c2,c2). [resolve(307,a,211,a)].
% 70.72/71.00 500 para(c3,c3,c2,c2). [resolve(311,a,211,a)].
% 70.72/71.00 506 coll(c2,c2,c5). [resolve(371,a,298,a)].
% 70.72/71.00 509 coll(c3,c5,c2). [resolve(371,a,113,a)].
% 70.72/71.00 510 coll(c5,c2,c3). [resolve(371,a,112,a)].
% 70.72/71.00 511 -coll(c3,c2,c3) | -coll(c2,c2,c3) | midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [resolve(377,a,361,a)].
% 70.72/71.00 520 eqangle(c1,c2,c1,c3,c4,c2,c4,c5). [resolve(377,a,258,a)].
% 70.72/71.00 531 cong(c5,c2,c5,c3). [resolve(377,a,174,a)].
% 70.72/71.00 532 -midp(c5,A,B) | para(A,c2,B,c3). [resolve(377,a,169,b)].
% 70.72/71.00 533 -midp(c5,A,B) | para(c2,A,c3,B). [resolve(377,a,169,a)].
% 70.72/71.00 534 -midp(A,c2,B) | para(A,c5,B,c3). [resolve(377,a,155,b)].
% 70.72/71.00 535 -midp(A,c2,B) | para(c5,A,c3,B). [resolve(377,a,155,a)].
% 70.72/71.00 536 coll(c5,c5,c4). [resolve(381,a,298,a)].
% 70.72/71.00 544 -coll(c2,c3,c2) | -coll(c3,c3,c2) | midp(f7(c3,c2,c2,c3,c5,c5,A),c3,A). [resolve(362,a,377,a)].
% 70.72/71.00 545 coll(c2,c2,c1). [resolve(400,a,298,a)].
% 70.72/71.00 550 -coll(c7,c2,A) | coll(A,c1,c7). [resolve(401,a,114,b)].
% 70.72/71.00 551 -coll(c7,c2,A) | coll(c1,A,c7). [resolve(401,a,114,a)].
% 70.72/71.00 553 -coll(c4,c8,A) | coll(A,c5,c4). [resolve(419,a,114,b)].
% 70.72/71.00 554 -coll(c4,c8,A) | coll(c5,A,c4). [resolve(419,a,114,a)].
% 70.72/71.00 556 coll(c4,c4,c8). [resolve(420,a,298,a)].
% 70.72/71.00 557 -coll(c8,c5,A) | coll(A,c4,c8). [resolve(420,a,114,b)].
% 70.72/71.00 558 -coll(c8,c5,A) | coll(c4,A,c8). [resolve(420,a,114,a)].
% 70.72/71.00 562 -coll(c5,c5,A) | coll(A,c8,c5). [resolve(496,a,114,b)].
% 70.72/71.00 563 -coll(c5,c5,A) | coll(c8,A,c5). [resolve(496,a,114,a)].
% 70.72/71.00 564 coll(c5,c8,c5). [resolve(496,a,112,a)].
% 70.72/71.00 565 coll(c7,c7,c2). [resolve(497,a,298,a)].
% 70.72/71.00 566 -coll(c2,c2,A) | coll(A,c7,c2). [resolve(497,a,114,b)].
% 70.72/71.00 573 coll(c5,c5,c2). [resolve(506,a,298,a)].
% 70.72/71.00 575 -coll(c2,c2,A) | coll(c5,A,c2). [resolve(506,a,114,a)].
% 70.72/71.00 576 coll(c2,c5,c2). [resolve(506,a,112,a)].
% 70.72/71.00 578 coll(c2,c2,c3). [resolve(509,a,298,a)].
% 70.72/71.00 579 -coll(c3,c5,A) | coll(A,c2,c3). [resolve(509,a,114,b)].
% 70.72/71.00 581 coll(c3,c2,c5). [resolve(509,a,112,a)].
% 70.72/71.00 583 -coll(c3,c2,c3) | midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [back_unit_del(511),unit_del(b,578)].
% 70.72/71.00 585 -coll(c5,c2,A) | coll(A,c3,c5). [resolve(510,a,114,b)].
% 70.72/71.00 588 coll(c4,c4,c5). [resolve(536,a,298,a)].
% 70.72/71.00 602 coll(c1,c1,c2). [resolve(545,a,298,a)].
% 70.72/71.00 605 coll(c2,c1,c2). [resolve(545,a,112,a)].
% 70.72/71.00 622 coll(c4,c8,c4). [resolve(556,a,112,a)].
% 70.72/71.00 632 coll(c8,c5,c5). [resolve(564,a,113,a)].
% 70.72/71.00 633 -coll(c7,c7,A) | coll(A,c2,c7). [resolve(565,a,114,b)].
% 70.72/71.00 649 coll(c5,c2,c5). [resolve(573,a,112,a)].
% 70.72/71.00 653 coll(c5,c2,c2). [resolve(576,a,113,a)].
% 70.72/71.00 654 coll(c3,c3,c2). [resolve(578,a,298,a)].
% 70.72/71.00 657 coll(c2,c3,c2). [resolve(578,a,112,a)].
% 70.72/71.00 658 midp(f7(c3,c2,c2,c3,c5,c5,A),c3,A). [back_unit_del(544),unit_del(a,657),unit_del(b,654)].
% 70.72/71.00 660 coll(c5,c5,c3). [resolve(581,a,298,a)].
% 70.72/71.00 687 cyclic(c3,c2,c2,c2). [resolve(372,a,352,a)].
% 70.72/71.00 725 perp(c3,c2,c2,c2). [resolve(372,a,337,c),unit_del(a,371)].
% 70.72/71.00 756 -cong(A,B,c5,c3) | cong(A,B,c5,c2). [resolve(372,a,135,b)].
% 70.72/71.00 758 cong(c5,c3,c2,c5). [resolve(372,a,133,a)].
% 70.72/71.00 774 para(c2,c3,c3,c2). [resolve(373,a,377,a)].
% 70.72/71.00 815 coll(c2,c5,c5). [resolve(649,a,113,a)].
% 70.72/71.00 820 coll(c3,c2,c3). [resolve(654,a,112,a)].
% 70.72/71.00 821 midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [back_unit_del(583),unit_del(a,820)].
% 70.72/71.00 828 coll(c5,c3,c5). [resolve(660,a,112,a)].
% 70.72/71.00 880 coll(c3,c5,c5). [resolve(828,a,113,a)].
% 70.72/71.00 925 perp(c2,c1,c7,c6). [resolve(397,a,119,a)].
% 70.72/71.00 939 perp(c4,c5,c1,c8). [resolve(415,a,118,a)].
% 70.72/71.00 953 perp(c5,c4,c8,c1). [resolve(416,a,119,a)].
% 70.72/71.00 966 -para(c2,c2,A,B) | para(c5,c5,A,B). [resolve(499,a,117,a)].
% 70.72/71.00 978 -perp(c2,c2,A,B) | perp(c3,c3,A,B). [resolve(500,a,121,a)].
% 70.72/71.00 1016 cyclic(c2,c3,c3,c3). [resolve(531,a,352,a)].
% 70.72/71.00 1054 perp(c2,c3,c3,c3). [resolve(531,a,337,c),unit_del(a,510)].
% 70.72/71.00 1085 -cong(A,B,c5,c2) | cong(A,B,c5,c3). [resolve(531,a,135,b)].
% 70.72/71.00 1087 cong(c5,c2,c3,c5). [resolve(531,a,133,a)].
% 70.72/71.00 1110 cyclic(c2,c3,c2,c2). [resolve(687,a,126,a)].
% 70.72/71.00 1129 -midp(c2,c2,c2) | cong(c3,c2,c3,c2). [resolve(725,a,161,b)].
% 70.72/71.00 1131 -perp(A,B,c3,c2) | para(A,B,c2,c2). [resolve(725,a,120,b)].
% 70.72/71.00 1132 -perp(c2,c2,A,B) | para(c3,c2,A,B). [resolve(725,a,120,a)].
% 70.72/71.00 1144 cong(c2,c5,c5,c3). [resolve(758,a,134,a)].
% 70.72/71.00 1156 -midp(c2,A,c3) | -coll(c3,A,c2) | midp(c3,A,c2). [resolve(774,a,156,b)].
% 70.72/71.00 1160 para(c2,c3,c2,c3). [resolve(774,a,115,a)].
% 70.72/71.00 1259 para(c2,c1,c1,c2). [resolve(394,a,925,a)].
% 70.72/71.00 1260 para(c1,c2,c1,c2). [resolve(394,a,396,a)].
% 70.72/71.00 1280 cyclic(c3,c2,c3,c3). [resolve(1016,a,126,a)].
% 70.72/71.00 1303 perp(c3,c3,c2,c3). [resolve(1054,a,119,a)].
% 70.72/71.00 1314 cong(c3,c5,c5,c2). [resolve(1087,a,134,a)].
% 70.72/71.00 1354 cyclic(c2,c2,c3,c2). [resolve(1110,a,125,a)].
% 70.72/71.00 1373 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(1160,a,312,b)].
% 70.72/71.00 1381 -midp(c2,A,c2) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(1160,a,156,b)].
% 70.72/71.00 1460 -midp(c2,A,c1) | -coll(c1,A,c2) | midp(c1,A,c2). [resolve(1259,a,156,b)].
% 70.72/71.00 1464 para(c1,c2,c2,c1). [resolve(1259,a,116,a)].
% 70.72/71.00 1465 para(c2,c1,c2,c1). [resolve(1259,a,115,a)].
% 70.72/71.00 1468 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(1260,a,312,b)].
% 70.72/71.00 1476 -midp(c1,A,c1) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(1260,a,156,b)].
% 70.72/71.00 1515 cyclic(c3,c3,c2,c3). [resolve(1280,a,125,a)].
% 70.72/71.00 1519 -perp(c2,c3,A,B) | para(c3,c3,A,B). [resolve(1303,a,120,a)].
% 70.72/71.00 1520 perp(c3,c3,c3,c2). [resolve(1303,a,118,a)].
% 70.72/71.00 1531 cong(c3,c5,c2,c5). [resolve(1314,a,133,a)].
% 70.72/71.00 1598 cyclic(c2,c2,c2,c3). [resolve(1354,a,124,a)].
% 70.72/71.00 1664 -perp(c2,c1,A,B) | perp(c1,c2,A,B). [resolve(1464,a,121,a)].
% 70.72/71.00 1668 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(1465,a,312,b)].
% 70.72/71.00 1694 cyclic(c3,c3,c3,c2). [resolve(1515,a,124,a)].
% 70.72/71.00 1712 -midp(A,c3,c2) | cong(c3,A,c3,A). [resolve(1520,a,159,a)].
% 70.72/71.00 1715 perp(c3,c2,c3,c3). [resolve(1520,a,119,a)].
% 70.72/71.00 1716 perp(c3,c2,c5,c5). [resolve(1531,a,308,a)].
% 70.72/71.00 1756 -cyclic(c2,c2,c2,A) | cyclic(c2,c2,A,c3). [resolve(1598,a,127,b)].
% 70.72/71.00 1802 -cyclic(c3,c3,c3,A) | cyclic(c3,c3,A,c2). [resolve(1694,a,127,b)].
% 70.72/71.00 1803 -cyclic(c3,c3,c3,A) | cyclic(c3,c3,c2,A). [resolve(1694,a,127,a)].
% 70.72/71.00 1812 -midp(c2,c3,c3) | cong(c3,c3,c3,c3). [resolve(1715,a,161,b)].
% 70.72/71.00 1825 -midp(c2,c5,c5) | cong(c3,c5,c3,c5). [resolve(1716,a,161,b)].
% 70.72/71.00 1979 para(c5,c4,c4,c5). [resolve(413,a,953,a)].
% 70.72/71.00 1980 para(c4,c5,c4,c5). [resolve(413,a,415,a)].
% 70.72/71.00 1992 -midp(c5,A,c4) | -coll(c4,A,c5) | midp(c4,A,c5). [resolve(1979,a,156,b)].
% 70.72/71.00 1994 -perp(c4,c5,A,B) | perp(c5,c4,A,B). [resolve(1979,a,121,a)].
% 70.72/71.00 1997 para(c5,c4,c5,c4). [resolve(1979,a,115,a)].
% 70.72/71.00 2000 -midp(A,c4,c4) | midp(A,c5,c5). [resolve(1980,a,312,b)].
% 70.72/71.00 2008 -midp(c4,A,c4) | -coll(c5,A,c5) | midp(c5,A,c5). [resolve(1980,a,156,b)].
% 70.72/71.00 2027 -midp(A,c5,c5) | midp(A,c4,c4). [resolve(1997,a,312,b)].
% 70.72/71.00 2037 para(c8,c1,c1,c8). [resolve(414,a,939,a)].
% 70.72/71.00 2038 para(c8,c1,c8,c1). [resolve(414,a,415,a)].
% 70.72/71.00 2050 -midp(c8,A,c1) | -coll(c1,A,c8) | midp(c1,A,c8). [resolve(2037,a,156,b)].
% 70.72/71.00 2054 para(c1,c8,c8,c1). [resolve(2037,a,116,a)].
% 70.72/71.00 2064 coll(c8,c1,c1). [resolve(2038,a,172,a)].
% 70.72/71.00 2068 coll(c1,c1,c8). [resolve(2064,a,298,a)].
% 70.72/71.00 2104 para(c1,c8,c1,c8). [resolve(2054,a,115,a)].
% 70.72/71.00 2107 -midp(A,c1,c1) | midp(A,c8,c8). [resolve(2104,a,312,b)].
% 70.72/71.00 2131 coll(c3,c8,c5). [resolve(562,a,660,a)].
% 70.72/71.00 2132 coll(c2,c8,c5). [resolve(562,a,573,a)].
% 70.72/71.00 2150 coll(c8,c3,c5). [resolve(2131,a,113,a)].
% 70.72/71.00 2154 coll(c8,c2,c5). [resolve(2132,a,113,a)].
% 70.72/71.00 2155 coll(c2,c5,c8). [resolve(2132,a,112,a)].
% 70.72/71.00 2162 coll(c8,c5,c3). [resolve(2150,a,112,a)].
% 70.72/71.00 2169 coll(c8,c5,c2). [resolve(2154,a,112,a)].
% 70.72/71.00 2171 -coll(c2,c5,A) | coll(A,c8,c2). [resolve(2155,a,114,b)].
% 70.72/71.00 2183 coll(c4,c3,c8). [resolve(2162,a,558,a)].
% 70.72/71.00 2184 coll(c3,c4,c8). [resolve(2162,a,557,a)].
% 70.72/71.00 2194 coll(c4,c2,c8). [resolve(2169,a,558,a)].
% 70.72/71.00 2195 coll(c2,c4,c8). [resolve(2169,a,557,a)].
% 70.72/71.00 2196 coll(c2,c2,c8). [resolve(2169,a,298,a)].
% 70.72/71.00 2227 coll(c4,c8,c3). [resolve(2183,a,112,a)].
% 70.72/71.00 2230 coll(c3,c8,c4). [resolve(2184,a,112,a)].
% 70.72/71.00 2243 coll(c4,c8,c2). [resolve(2194,a,112,a)].
% 70.72/71.00 2246 coll(c2,c8,c4). [resolve(2195,a,112,a)].
% 70.72/71.00 2272 coll(c5,c3,c4). [resolve(2227,a,554,a)].
% 70.72/71.00 2273 coll(c3,c5,c4). [resolve(2227,a,553,a)].
% 70.72/71.00 2277 -coll(c4,c8,A) | coll(A,c3,c4). [resolve(2227,a,114,b)].
% 70.72/71.00 2280 coll(c4,c4,c3). [resolve(2230,a,298,a)].
% 70.72/71.00 2293 coll(c2,c2,c4). [resolve(2243,a,298,a)].
% 70.72/71.00 2297 coll(c4,c4,c2). [resolve(2246,a,298,a)].
% 70.72/71.00 2317 coll(c5,c4,c3). [resolve(2272,a,112,a)].
% 70.72/71.00 2330 coll(c4,c3,c4). [resolve(2280,a,112,a)].
% 70.72/71.00 2349 coll(c4,c2,c4). [resolve(2297,a,112,a)].
% 70.72/71.00 2386 coll(c2,c4,c4). [resolve(2349,a,113,a)].
% 70.72/71.00 2392 para(c1,c4,c1,c4). [resolve(443,a,441,a)].
% 70.72/71.00 2451 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(2392,a,312,b)].
% 70.72/71.00 2458 coll(c1,c4,c4). [resolve(2392,a,172,a)].
% 70.72/71.00 2460 -midp(c1,A,c1) | -coll(c4,A,c4) | midp(c4,A,c4). [resolve(2392,a,156,b)].
% 70.72/71.00 2462 para(c1,c4,c4,c1). [resolve(2392,a,115,a)].
% 70.72/71.00 2466 coll(c4,c1,c4). [resolve(2458,a,113,a)].
% 70.72/71.00 2503 para(c4,c1,c1,c4). [resolve(2462,a,116,a)].
% 70.72/71.00 2519 para(c4,c1,c4,c1). [resolve(2503,a,115,a)].
% 70.72/71.00 2522 -midp(A,c4,c4) | midp(A,c1,c1). [resolve(2519,a,312,b)].
% 70.72/71.00 2532 coll(c4,c7,c2). [resolve(566,a,2293,a)].
% 70.72/71.00 2533 coll(c8,c7,c2). [resolve(566,a,2196,a)].
% 70.72/71.00 2534 coll(c3,c7,c2). [resolve(566,a,578,a)].
% 70.72/71.00 2535 coll(c5,c7,c2). [resolve(566,a,506,a)].
% 70.72/71.00 2541 coll(c4,c2,c7). [resolve(2532,a,112,a)].
% 70.72/71.00 2545 coll(c8,c2,c7). [resolve(2533,a,112,a)].
% 70.72/71.00 2548 coll(c7,c3,c2). [resolve(2534,a,113,a)].
% 70.72/71.00 2549 coll(c3,c2,c7). [resolve(2534,a,112,a)].
% 70.72/71.00 2552 coll(c7,c5,c2). [resolve(2535,a,113,a)].
% 70.72/71.00 2559 coll(c7,c7,c4). [resolve(2541,a,298,a)].
% 70.72/71.00 2602 -coll(c8,c2,A) | coll(A,c7,c8). [resolve(2545,a,114,b)].
% 70.72/71.00 2607 coll(c7,c2,c3). [resolve(2548,a,112,a)].
% 70.72/71.00 2608 coll(c7,c7,c3). [resolve(2549,a,298,a)].
% 70.72/71.00 2649 coll(c7,c2,c5). [resolve(2552,a,112,a)].
% 70.72/71.00 2662 coll(c7,c4,c7). [resolve(2559,a,112,a)].
% 70.72/71.00 2676 coll(c1,c3,c7). [resolve(2607,a,551,a)].
% 70.72/71.00 2677 coll(c3,c1,c7). [resolve(2607,a,550,a)].
% 70.72/71.00 2684 coll(c7,c3,c7). [resolve(2608,a,112,a)].
% 70.72/71.00 2687 coll(c1,c5,c7). [resolve(2649,a,551,a)].
% 70.72/71.00 2689 coll(c5,c5,c7). [resolve(2649,a,298,a)].
% 70.72/71.00 2719 coll(c4,c7,c7). [resolve(2662,a,113,a)].
% 70.72/71.00 2736 coll(c1,c7,c3). [resolve(2676,a,112,a)].
% 70.72/71.00 2739 coll(c3,c7,c1). [resolve(2677,a,112,a)].
% 70.72/71.00 2747 coll(c3,c7,c7). [resolve(2684,a,113,a)].
% 70.72/71.00 2750 coll(c1,c7,c5). [resolve(2687,a,112,a)].
% 70.72/71.00 2755 coll(c7,c8,c5). [resolve(2689,a,562,a)].
% 70.72/71.00 2804 coll(c3,c3,c1). [resolve(2736,a,298,a)].
% 70.72/71.00 2808 coll(c1,c1,c3). [resolve(2739,a,298,a)].
% 70.72/71.00 2819 coll(c5,c5,c1). [resolve(2750,a,298,a)].
% 70.72/71.00 2822 coll(c7,c1,c5). [resolve(2750,a,113,a)].
% 70.72/71.00 2832 coll(c7,c5,c8). [resolve(2755,a,112,a)].
% 70.72/71.00 2874 coll(c3,c1,c3). [resolve(2804,a,112,a)].
% 70.72/71.00 2879 coll(c1,c3,c1). [resolve(2808,a,112,a)].
% 70.72/71.00 2891 coll(c8,c1,c5). [resolve(2819,a,563,a)].
% 70.72/71.00 2895 coll(c5,c1,c5). [resolve(2819,a,112,a)].
% 70.72/71.00 2987 coll(c8,c5,c1). [resolve(2891,a,112,a)].
% 70.72/71.00 2993 coll(c1,c5,c5). [resolve(2895,a,113,a)].
% 70.72/71.00 3031 coll(c4,c1,c8). [resolve(2987,a,558,a)].
% 70.72/71.00 3061 coll(c4,c8,c1). [resolve(3031,a,112,a)].
% 70.72/71.00 3273 para(c7,c9,c7,c9). [resolve(493,a,491,a)].
% 70.72/71.00 3609 eqangle(c4,c2,c4,c5,c1,c2,c1,c3). [resolve(520,a,130,a)].
% 70.72/71.00 3614 -midp(A,c7,c7) | midp(A,c9,c9). [resolve(3273,a,312,b)].
% 70.72/71.00 3621 coll(c7,c9,c9). [resolve(3273,a,172,a)].
% 70.72/71.00 3626 coll(c9,c9,c7). [resolve(3621,a,298,a)].
% 70.72/71.00 3634 coll(c7,c7,c9). [resolve(3626,a,298,a)].
% 70.72/71.00 3706 coll(c4,c2,c3). [resolve(579,a,2273,a)].
% 70.72/71.00 3721 coll(c4,c3,c2). [resolve(3706,a,112,a)].
% 70.72/71.00 3886 coll(c9,c2,c7). [resolve(633,a,3634,a)].
% 70.72/71.00 3892 coll(c9,c7,c2). [resolve(3886,a,112,a)].
% 70.72/71.00 3951 coll(c2,c2,c9). [resolve(3892,a,298,a)].
% 70.72/71.00 3961 coll(c5,c9,c2). [resolve(3951,a,575,a)].
% 70.72/71.00 4040 coll(c5,c2,c9). [resolve(3961,a,112,a)].
% 70.72/71.00 4074 coll(c9,c3,c5). [resolve(4040,a,585,a)].
% 70.72/71.00 4078 coll(c2,c5,c9). [resolve(4040,a,113,a)].
% 70.72/71.00 4119 coll(c9,c5,c3). [resolve(4074,a,112,a)].
% 70.72/71.00 4156 coll(c3,c3,c9). [resolve(4119,a,298,a)].
% 70.72/71.00 4225 coll(c3,c9,c3). [resolve(4156,a,112,a)].
% 70.72/71.00 4312 para(c3,c3,A,A). [resolve(658,a,311,a)].
% 70.72/71.00 4342 coll(c9,c3,c3). [resolve(4225,a,113,a)].
% 70.72/71.00 4584 -para(A,B,c3,c3) | para(A,B,C,C). [resolve(4312,a,117,b)].
% 70.72/71.00 4907 coll(c9,c8,c2). [resolve(2171,a,4078,a)].
% 70.72/71.00 4913 coll(c8,c9,c2). [resolve(4907,a,113,a)].
% 70.72/71.00 4921 coll(c8,c2,c9). [resolve(4913,a,112,a)].
% 70.72/71.00 4977 coll(c1,c3,c4). [resolve(2277,a,3061,a)].
% 70.72/71.00 4979 cong(c2,c5,c5,c2). [resolve(756,a,1144,a)].
% 70.72/71.00 4980 cong(c5,c2,c5,c2). [resolve(756,a,531,a)].
% 70.72/71.00 4990 coll(c1,c4,c3). [resolve(4977,a,112,a)].
% 70.72/71.00 5010 coll(c4,c1,c3). [resolve(4990,a,113,a)].
% 70.72/71.00 5011 perp(c1,c2,c2,c3). [back_unit_del(260),unit_del(a,5010)].
% 70.72/71.00 5065 cong(c2,c5,c2,c5). [resolve(4979,a,133,a)].
% 70.72/71.00 5113 perp(c2,c2,c2,c2). [resolve(4980,a,337,c),unit_del(a,653)].
% 70.72/71.00 5144 midp(c5,c2,c2). [resolve(4980,a,173,a),unit_del(a,653)].
% 70.72/71.00 5200 para(c2,c2,A,A). [resolve(821,a,311,a)].
% 70.72/71.00 5220 midp(c5,c1,c1). [resolve(5144,a,1668,a)].
% 70.72/71.00 5221 midp(c5,c3,c3). [resolve(5144,a,1373,a)].
% 70.72/71.00 5223 para(c5,c5,c3,c2). [resolve(5144,a,535,a)].
% 70.72/71.00 5224 para(c5,c5,c2,c3). [resolve(5144,a,534,a)].
% 70.72/71.00 5238 para(c3,c2,c2,c2). [resolve(5144,a,374,a)].
% 70.72/71.00 5300 midp(c5,c8,c8). [resolve(5220,a,2107,a)].
% 70.72/71.00 5315 para(c1,c3,c1,c2). [resolve(5220,a,373,a)].
% 70.72/71.00 5342 cong(c5,c1,c5,c1). [resolve(5220,a,174,a)].
% 70.72/71.00 5343 -midp(c5,A,B) | para(A,c1,B,c1). [resolve(5220,a,169,b)].
% 70.72/71.00 5348 para(c3,c2,c3,c3). [resolve(5221,a,532,a)].
% 70.72/71.00 5361 para(c3,c3,c3,c2). [resolve(5221,a,373,a)].
% 70.72/71.00 5464 cong(c5,c8,c5,c8). [resolve(5300,a,174,a)].
% 70.72/71.00 5467 -midp(A,c8,B) | para(A,c5,B,c8). [resolve(5300,a,155,b)].
% 70.72/71.00 5468 -midp(A,c8,B) | para(c5,A,c8,B). [resolve(5300,a,155,a)].
% 70.72/71.00 5694 para(c7,c6,c2,c3). [resolve(5011,a,395,a)].
% 70.72/71.00 5718 perp(c2,c3,c1,c2). [resolve(5011,a,119,a)].
% 70.72/71.00 5719 perp(c1,c2,c3,c2). [resolve(5011,a,118,a)].
% 70.72/71.00 5798 midp(c2,c5,c5). [resolve(5065,a,173,a),unit_del(a,815)].
% 70.72/71.00 5805 cong(c3,c5,c3,c5). [back_unit_del(1825),unit_del(a,5798)].
% 70.72/71.00 5808 midp(c2,c4,c4). [resolve(5798,a,2027,a)].
% 70.72/71.00 5885 cong(c2,c4,c2,c4). [resolve(5808,a,174,a)].
% 70.72/71.00 5935 para(A,A,c2,c2). [resolve(5200,a,116,a)].
% 70.72/71.00 5952 para(c3,c2,c5,c5). [resolve(5223,a,116,a)].
% 70.72/71.00 5969 para(c2,c3,c5,c5). [resolve(5224,a,116,a)].
% 70.72/71.00 6009 -midp(A,c3,c2) | midp(A,c2,c2). [resolve(5238,a,312,b)].
% 70.72/71.00 6098 para(c1,c3,c2,c1). [resolve(5315,a,115,a)].
% 70.72/71.00 6204 cong(c5,c1,c1,c5). [resolve(5342,a,133,a)].
% 70.72/71.00 6234 -midp(A,c3,c3) | midp(A,c2,c3). [resolve(5348,a,170,b),unit_del(b,5361)].
% 70.72/71.00 6442 cong(c5,c8,c8,c5). [resolve(5464,a,133,a)].
% 70.72/71.00 6535 para(c2,c3,c7,c6). [resolve(5694,a,116,a)].
% 70.72/71.00 6550 perp(c2,c3,c2,c1). [resolve(5718,a,118,a)].
% 70.72/71.00 6564 perp(c3,c2,c1,c2). [resolve(5719,a,119,a)].
% 70.72/71.00 6695 midp(c3,c5,c5). [resolve(5805,a,173,a),unit_del(a,880)].
% 70.72/71.00 6697 -cong(c3,A,c3,A) | perp(c3,c3,c5,A). [resolve(5805,a,162,a)].
% 70.72/71.00 6702 midp(c3,c4,c4). [resolve(6695,a,2027,a)].
% 70.72/71.00 6777 cong(c3,c4,c3,c4). [resolve(6702,a,174,a)].
% 70.72/71.00 6850 perp(c4,c4,c4,c4). [resolve(5885,a,337,c),unit_del(a,2386)].
% 70.72/71.00 6900 -para(c2,c2,A,B) | para(C,C,A,B). [resolve(5935,a,117,a)].
% 70.72/71.00 6915 -para(A,B,c3,c2) | para(A,B,c5,c5). [resolve(5952,a,117,b)].
% 70.72/71.00 6930 -perp(c5,c5,A,B) | perp(c2,c3,A,B). [resolve(5969,a,121,a)].
% 70.72/71.00 6995 -midp(A,c1,c2) | -para(c1,c1,c2,c3) | midp(A,c3,c1). [resolve(6098,a,170,b)].
% 70.72/71.00 7063 cong(c1,c5,c5,c1). [resolve(6204,a,134,a)].
% 70.72/71.00 7194 cong(c8,c5,c5,c8). [resolve(6442,a,134,a)].
% 70.72/71.00 7258 para(c2,c3,c6,c7). [resolve(6535,a,115,a)].
% 70.72/71.00 7287 perp(c2,c1,c2,c3). [resolve(6550,a,119,a)].
% 70.72/71.00 7293 perp(c3,c2,c2,c1). [resolve(6564,a,118,a)].
% 70.72/71.00 7404 -midp(A,c4,c4) | cong(c4,A,c4,A). [resolve(6850,a,159,a)].
% 70.72/71.00 7435 cong(c1,c5,c1,c5). [resolve(7063,a,133,a)].
% 70.72/71.00 7451 cong(c8,c5,c8,c5). [resolve(7194,a,133,a)].
% 70.72/71.00 7481 para(c6,c7,c2,c3). [resolve(7258,a,116,a)].
% 70.72/71.00 7510 perp(c2,c1,c3,c2). [resolve(7287,a,118,a)].
% 70.72/71.00 7530 -midp(c2,c2,c1) | cong(c3,c2,c3,c1). [resolve(7293,a,161,b)].
% 70.72/71.00 7639 midp(c1,c5,c5). [resolve(7435,a,173,a),unit_del(a,2993)].
% 70.72/71.00 7646 midp(c1,c4,c4). [resolve(7639,a,2027,a)].
% 70.72/71.00 7685 -midp(A,c5,B) | para(c1,A,c5,B). [resolve(7639,a,155,a)].
% 70.72/71.00 7787 midp(c8,c5,c5). [resolve(7451,a,173,a),unit_del(a,632)].
% 70.72/71.00 7794 midp(c8,c4,c4). [resolve(7787,a,2027,a)].
% 70.72/71.00 7888 -perp(c2,c3,A,B) | perp(c6,c7,A,B). [resolve(7481,a,121,a)].
% 70.72/71.00 8713 midp(c5,c4,c4). [resolve(2451,a,5220,a)].
% 70.72/71.00 8772 midp(c5,c5,c5). [resolve(8713,a,2000,a)].
% 70.72/71.00 8786 para(c3,c4,c2,c4). [resolve(8713,a,374,a)].
% 70.72/71.00 8858 para(c2,c5,c3,c5). [resolve(8772,a,533,a)].
% 70.72/71.00 8971 -midp(A,c3,c2) | midp(A,c4,c4). [resolve(8786,a,312,b)].
% 70.72/71.00 9093 -midp(A,c2,c3) | midp(A,c5,c5). [resolve(8858,a,312,b)].
% 70.72/71.00 9315 para(c5,c5,A,A). [resolve(966,a,5200,a)].
% 70.72/71.00 9320 -perp(A,A,B,C) | perp(c5,c5,B,C). [resolve(9315,a,121,a)].
% 70.72/71.00 9321 -para(A,B,c5,c5) | para(A,B,C,C). [resolve(9315,a,117,b)].
% 70.72/71.00 9617 perp(c3,c3,c2,c2). [resolve(978,a,5113,a)].
% 70.72/71.00 9630 perp(c2,c2,c3,c3). [resolve(9617,a,119,a)].
% 70.72/71.00 9642 -perp(c3,c3,A,B) | para(c2,c2,A,B). [resolve(9630,a,120,a)].
% 70.72/71.00 10435 midp(c8,c1,c1). [resolve(2522,a,7794,a)].
% 70.72/71.00 10436 midp(c1,c1,c1). [resolve(2522,a,7646,a)].
% 70.72/71.00 10437 midp(c3,c1,c1). [resolve(2522,a,6702,a)].
% 70.72/71.00 10438 midp(c2,c1,c1). [resolve(2522,a,5808,a)].
% 70.72/71.00 10449 midp(c8,c2,c2). [resolve(10435,a,1468,a)].
% 70.72/71.00 10490 midp(c1,c2,c2). [resolve(10436,a,1468,a)].
% 70.72/71.00 10537 midp(c3,c2,c2). [resolve(10437,a,1468,a)].
% 70.72/71.00 10593 midp(c2,c2,c2). [resolve(10438,a,1468,a)].
% 70.72/71.00 10626 cong(c2,c1,c2,c1). [resolve(10438,a,174,a)].
% 70.72/71.00 10635 cong(c3,c2,c3,c2). [back_unit_del(1129),unit_del(a,10593)].
% 70.72/71.00 10685 para(c5,c8,c3,c2). [resolve(10449,a,535,a)].
% 70.72/71.00 10762 midp(c1,c3,c3). [resolve(10490,a,1373,a)].
% 70.72/71.00 10840 midp(c3,c3,c3). [resolve(10537,a,1373,a)].
% 70.72/71.00 10919 midp(c2,c3,c3). [resolve(10593,a,1373,a)].
% 70.72/71.00 10961 cong(c3,c3,c3,c3). [back_unit_del(1812),unit_del(a,10919)].
% 70.72/71.00 11017 para(c1,c5,c3,c2). [resolve(10762,a,375,a)].
% 70.72/71.00 11187 perp(c2,c2,c1,c1). [resolve(10626,a,308,a)].
% 70.72/71.00 11250 -para(A,B,c5,c8) | para(A,B,c3,c2). [resolve(10685,a,117,b)].
% 70.72/71.00 11252 para(c3,c2,c5,c8). [resolve(10685,a,116,a)].
% 70.72/71.00 11459 -cong(c3,A,c3,A) | perp(c3,c3,A,c3). [resolve(10961,a,162,b)].
% 70.72/71.00 11515 -perp(c3,c2,A,B) | perp(c1,c5,A,B). [resolve(11017,a,121,a)].
% 70.72/71.00 11606 -perp(c5,c8,A,B) | perp(c3,c2,A,B). [resolve(11252,a,121,a)].
% 70.72/71.00 12568 para(c2,c1,c2,c2). [resolve(1131,a,7510,a)].
% 70.72/71.00 12577 para(c2,c2,c2,c1). [resolve(12568,a,116,a)].
% 70.72/71.00 12597 -midp(A,c2,c2) | midp(A,c1,c2). [resolve(12577,a,170,c),unit_del(b,12568)].
% 70.72/71.00 12605 para(c3,c2,c1,c1). [resolve(1132,a,11187,a)].
% 70.72/71.00 12652 para(c1,c1,c3,c2). [resolve(12605,a,116,a)].
% 70.72/71.00 12696 para(c1,c1,c2,c3). [resolve(12652,a,115,a)].
% 70.72/71.00 12697 -midp(A,c1,c2) | midp(A,c3,c1). [back_unit_del(6995),unit_del(b,12696)].
% 70.72/71.00 12907 midp(c3,c3,c2). [resolve(1156,a,10919,a),unit_del(a,654)].
% 70.72/71.00 14738 midp(c1,c1,c2). [resolve(1460,a,10438,a),unit_del(a,602)].
% 70.72/71.00 14749 cong(c1,c1,c1,c2). [resolve(14738,a,174,a)].
% 70.72/71.00 14754 midp(c1,c2,c1). [resolve(14738,a,122,a)].
% 70.72/71.00 14772 cyclic(c1,c2,c2,c2). [resolve(14749,a,352,a)].
% 70.72/71.00 14821 cyclic(c2,c1,c2,c2). [resolve(14772,a,126,a)].
% 70.72/71.00 14878 cyclic(c2,c2,c1,c2). [resolve(14821,a,125,a)].
% 70.72/71.00 14988 cyclic(c2,c2,c2,c1). [resolve(14878,a,124,a)].
% 70.72/71.00 15072 midp(c2,c1,c2). [resolve(1476,a,10436,a),unit_del(a,605)].
% 70.72/71.00 15076 midp(c3,c1,c3). [resolve(15072,a,1381,a),unit_del(a,2874)].
% 70.72/71.00 15092 midp(c2,c2,c1). [resolve(15072,a,122,a)].
% 70.72/71.00 15095 cong(c3,c2,c3,c1). [back_unit_del(7530),unit_del(a,15092)].
% 70.72/71.00 15108 cong(c3,c1,c3,c3). [resolve(15076,a,174,a)].
% 70.72/71.00 15113 midp(c3,c3,c1). [resolve(15076,a,122,a)].
% 70.72/71.00 15126 cong(c2,c2,c2,c1). [resolve(15092,a,174,a)].
% 70.72/71.00 15149 cong(c3,c3,c3,c1). [resolve(15113,a,174,a)].
% 70.72/71.00 15393 cong(c3,c2,c1,c3). [resolve(15095,a,133,a)].
% 70.72/71.00 15396 cyclic(c1,c3,c3,c3). [resolve(15108,a,352,a)].
% 70.72/71.00 15437 cong(c2,c2,c1,c2). [resolve(15126,a,133,a)].
% 70.72/71.00 15469 cong(c3,c3,c1,c3). [resolve(15149,a,133,a)].
% 70.72/71.00 15592 cong(c1,c3,c3,c2). [resolve(15393,a,134,a)].
% 70.72/71.00 15593 -cong(c1,c3,c3,c3) | perp(c3,c1,c1,c3). [resolve(15396,a,309,b)].
% 70.72/71.00 15631 cong(c1,c2,c2,c2). [resolve(15437,a,134,a)].
% 70.72/71.00 15668 cong(c1,c3,c3,c3). [resolve(15469,a,134,a)].
% 70.72/71.00 15669 perp(c3,c1,c1,c3). [back_unit_del(15593),unit_del(a,15668)].
% 70.72/71.00 15753 cong(c1,c3,c2,c3). [resolve(15592,a,133,a)].
% 70.72/71.00 15849 perp(c1,c3,c3,c1). [resolve(15669,a,119,a)].
% 70.72/71.00 15975 cong(c1,c3,c1,c1). [resolve(15849,a,161,b),unit_del(a,15113)].
% 70.72/71.00 16073 midp(c1,c3,c1). [resolve(15975,a,173,a),unit_del(a,2879)].
% 70.72/71.00 17322 cyclic(c2,c2,c1,c3). [resolve(1756,a,14988,a)].
% 70.72/71.00 17324 cyclic(c2,c1,c2,c3). [resolve(17322,a,125,a)].
% 70.72/71.00 17331 cyclic(c1,c2,c2,c3). [resolve(17324,a,126,a)].
% 70.72/71.00 17341 perp(c2,c1,c1,c3). [resolve(17331,a,163,c),unit_del(a,15631),unit_del(b,15753)].
% 70.72/71.00 17372 perp(c1,c2,c1,c3). [resolve(17341,a,1664,a)].
% 70.72/71.00 18253 midp(c4,c4,c5). [resolve(1992,a,8713,a),unit_del(a,588)].
% 70.72/71.00 18261 -midp(c4,A,B) | para(c4,A,c5,B). [resolve(18253,a,169,a)].
% 70.72/71.00 18264 midp(c4,c5,c4). [resolve(18253,a,122,a)].
% 70.72/71.00 18274 -midp(A,c5,B) | para(c4,A,c4,B). [resolve(18264,a,155,a)].
% 70.72/71.00 18609 midp(c1,c1,c8). [resolve(2050,a,10435,a),unit_del(a,2068)].
% 70.72/71.00 18620 midp(c1,c8,c1). [resolve(18609,a,122,a)].
% 70.72/71.00 20130 midp(c4,c8,c4). [resolve(2460,a,18620,a),unit_del(a,622)].
% 70.72/71.00 20131 midp(c4,c3,c4). [resolve(2460,a,16073,a),unit_del(a,2330)].
% 70.72/71.00 20132 midp(c4,c2,c4). [resolve(2460,a,14754,a),unit_del(a,2349)].
% 70.72/71.00 20133 midp(c4,c1,c4). [resolve(2460,a,10436,a),unit_del(a,2466)].
% 70.72/71.00 20134 midp(c5,c8,c5). [resolve(20130,a,2008,a),unit_del(a,564)].
% 70.72/71.00 20159 midp(c4,c4,c3). [resolve(20131,a,122,a)].
% 70.72/71.00 20173 midp(c4,c4,c2). [resolve(20132,a,122,a)].
% 70.72/71.00 20174 midp(c5,c1,c5). [resolve(20133,a,2008,a),unit_del(a,2895)].
% 70.72/71.00 20199 midp(c5,c5,c8). [resolve(20134,a,122,a)].
% 70.72/71.00 20225 cong(c4,c4,c4,c3). [resolve(20159,a,174,a)].
% 70.72/71.00 20371 cyclic(c4,c3,c3,c3). [resolve(20225,a,352,a)].
% 70.72/71.00 20767 cyclic(c3,c4,c3,c3). [resolve(20371,a,126,a)].
% 70.72/71.00 21041 coll(c9,c7,c8). [resolve(2602,a,4921,a)].
% 70.72/71.00 21042 perp(c7,c5,c5,c8). [back_unit_del(288),unit_del(a,21041)].
% 70.72/71.00 21342 cyclic(c3,c3,c4,c3). [resolve(20767,a,125,a)].
% 70.72/71.00 21595 cong(c7,c5,c7,c8). [resolve(21042,a,161,b),unit_del(a,20199)].
% 70.72/71.00 21597 perp(c5,c8,c7,c5). [resolve(21042,a,119,a)].
% 70.72/71.00 21740 cyclic(c3,c3,c3,c4). [resolve(21342,a,124,a)].
% 70.72/71.00 22023 midp(c7,c5,c8). [resolve(21595,a,173,a),unit_del(a,2832)].
% 70.72/71.00 22038 midp(c7,c8,c5). [resolve(22023,a,122,a)].
% 70.72/71.00 22047 -midp(A,c8,B) | para(c7,A,c5,B). [resolve(22038,a,155,a)].
% 70.72/71.00 22174 cyclic(c3,c3,c2,c4). [resolve(21740,a,1803,a)].
% 70.72/71.00 22175 cyclic(c3,c3,c4,c2). [resolve(21740,a,1802,a)].
% 70.72/71.00 22302 perp(c2,c3,c3,c4). [resolve(22174,a,163,c),unit_del(a,10635),unit_del(b,6777)].
% 70.72/71.00 22305 perp(c4,c3,c3,c2). [resolve(22175,a,163,c),unit_del(a,6777),unit_del(b,10635)].
% 70.72/71.00 22419 para(c3,c3,c3,c4). [resolve(22302,a,1519,a)].
% 70.72/71.00 22436 cong(c4,c3,c4,c2). [resolve(22305,a,161,b),unit_del(a,12907)].
% 70.72/71.00 22550 para(c3,c4,c3,c3). [resolve(22419,a,116,a)].
% 70.72/71.00 22593 midp(c4,c3,c2). [resolve(22436,a,173,a),unit_del(a,3721)].
% 70.72/71.00 22599 midp(c4,c2,c3). [resolve(22593,a,122,a)].
% 70.72/71.00 22602 para(c4,c5,c3,c3). [resolve(22599,a,534,a)].
% 70.72/71.00 26156 perp(c4,c2,c4,c5). [resolve(3609,a,179,a),unit_del(a,17372)].
% 70.72/71.00 26163 perp(c4,c5,c4,c2). [resolve(26156,a,119,a)].
% 70.72/71.00 26167 perp(c5,c4,c4,c2). [resolve(26163,a,1994,a)].
% 70.72/71.00 26177 cong(c5,c4,c5,c2). [resolve(26167,a,161,b),unit_del(a,20173)].
% 70.72/71.00 26185 cong(c5,c4,c5,c3). [resolve(26177,a,1085,a)].
% 70.72/71.00 26203 midp(c5,c4,c3). [resolve(26185,a,173,a),unit_del(a,2317)].
% 70.72/71.00 26205 midp(c5,c3,c4). [resolve(26203,a,122,a)].
% 70.72/71.00 31436 para(c4,c5,A,A). [resolve(4584,a,22602,a)].
% 70.72/71.00 31438 para(c3,c4,A,A). [resolve(4584,a,22550,a)].
% 70.72/71.00 35523 para(c3,c1,c4,c1). [resolve(5343,a,26205,a)].
% 70.72/71.00 35532 para(c3,c1,c1,c4). [resolve(35523,a,115,a)].
% 70.72/71.00 35565 -midp(A,c3,c1) | midp(A,c1,c4). [resolve(35532,a,170,b),unit_del(b,31438)].
% 70.72/71.00 36007 para(c7,c5,c5,c8). [resolve(5467,a,22038,a)].
% 70.72/71.00 36018 para(c5,c7,c8,c5). [resolve(5468,a,22038,a)].
% 70.72/71.00 36033 para(c5,c8,c7,c5). [resolve(36007,a,116,a)].
% 70.72/71.00 36045 para(c5,c7,c5,c8). [resolve(36018,a,115,a)].
% 70.72/71.00 36047 para(c5,c8,c5,c7). [resolve(36033,a,115,a)].
% 70.72/71.00 36056 -midp(A,c5,c5) | midp(A,c8,c7). [resolve(36047,a,170,b),unit_del(b,36045)].
% 70.72/71.00 39361 para(c1,c7,c5,c8). [resolve(7685,a,22023,a)].
% 70.72/71.00 44397 para(c1,c7,c3,c2). [resolve(11250,a,39361,a)].
% 70.72/71.00 44581 para(c1,c7,c5,c5). [resolve(44397,a,6915,a)].
% 70.72/71.00 44950 para(c1,c7,A,A). [resolve(44581,a,9321,a)].
% 70.72/71.00 45414 para(A,A,c1,c7). [resolve(44950,a,116,a)].
% 70.72/71.00 45508 perp(c3,c2,c7,c5). [resolve(11606,a,21597,a)].
% 70.72/71.00 45810 perp(c1,c5,c7,c5). [resolve(45508,a,11515,a)].
% 70.72/71.00 45823 perp(c7,c5,c3,c2). [resolve(45508,a,119,a)].
% 70.72/71.00 45922 perp(c7,c5,c1,c5). [resolve(45810,a,119,a)].
% 70.72/71.00 45940 cong(c7,c3,c7,c2). [resolve(45823,a,161,b),unit_del(a,211)].
% 70.72/71.00 45959 cong(c7,c1,c7,c5). [resolve(45922,a,161,b),unit_del(a,20174)].
% 70.72/71.00 45973 midp(c7,c3,c2). [resolve(45940,a,173,a),unit_del(a,2548)].
% 70.72/71.00 45976 midp(c7,c4,c4). [resolve(45973,a,8971,a)].
% 70.72/71.00 45980 midp(c7,c2,c2). [resolve(45973,a,6009,a)].
% 70.72/71.00 45981 cong(c3,c7,c3,c7). [resolve(45973,a,1712,a)].
% 70.72/71.00 45985 cong(c4,c7,c4,c7). [resolve(45976,a,7404,a)].
% 70.72/71.00 46000 midp(c7,c1,c5). [resolve(45959,a,173,a),unit_del(a,2822)].
% 70.72/71.00 46002 midp(c7,c5,c1). [resolve(46000,a,122,a)].
% 70.72/71.00 46025 midp(c3,c7,c7). [resolve(45981,a,173,a),unit_del(a,2747)].
% 70.72/71.00 46039 midp(c3,c9,c9). [resolve(46025,a,3614,a)].
% 70.72/71.00 46053 cong(c3,c9,c3,c9). [resolve(46039,a,174,a)].
% 70.72/71.00 46106 midp(c4,c7,c7). [resolve(45985,a,173,a),unit_del(a,2719)].
% 70.72/71.00 46236 perp(c3,c3,c9,c3). [resolve(46053,a,11459,a)].
% 70.72/71.00 46245 perp(c3,c3,c5,c9). [resolve(46053,a,6697,a)].
% 70.72/71.00 46668 perp(c9,c3,c3,c3). [resolve(46236,a,119,a)].
% 70.72/71.00 46767 para(c2,c2,c5,c9). [resolve(46245,a,9642,a)].
% 70.72/71.00 47072 midp(c7,c1,c2). [resolve(12597,a,45980,a)].
% 70.72/71.00 47379 cong(c9,c3,c9,c3). [resolve(46668,a,161,b),unit_del(a,10840)].
% 70.72/71.00 47609 midp(c7,c3,c1). [resolve(12697,a,47072,a)].
% 70.72/71.00 47713 para(A,A,c5,c9). [resolve(46767,a,6900,a)].
% 70.72/71.00 48425 midp(c9,c3,c3). [resolve(47379,a,173,a),unit_del(a,4342)].
% 70.72/71.00 48431 midp(c9,c2,c3). [resolve(48425,a,6234,a)].
% 70.72/71.00 48478 midp(c9,c5,c5). [resolve(48431,a,9093,a)].
% 70.72/71.00 49994 para(c4,c7,c5,c7). [resolve(18261,a,46106,a)].
% 70.72/71.00 50021 para(c4,c7,c7,c5). [resolve(49994,a,115,a)].
% 70.72/71.00 50041 para(c4,c7,c4,c1). [resolve(18274,a,46002,a)].
% 70.72/71.00 50051 -midp(A,c4,c7) | midp(A,c7,c5). [resolve(50021,a,170,b),unit_del(b,31436)].
% 70.72/71.00 50065 para(c4,c7,c1,c4). [resolve(50041,a,115,a)].
% 70.72/71.00 50114 -midp(A,c4,c1) | midp(A,c4,c7). [resolve(50065,a,170,c),unit_del(b,45414)].
% 70.72/71.00 57809 midp(c7,c1,c4). [resolve(35565,a,47609,a)].
% 70.72/71.00 57852 midp(c7,c4,c1). [resolve(57809,a,122,a)].
% 70.72/71.00 58230 midp(c9,c8,c7). [resolve(36056,a,48478,a)].
% 70.72/71.00 58328 para(c7,c9,c5,c7). [resolve(58230,a,22047,a)].
% 70.72/71.00 58529 -midp(A,c7,c5) | midp(A,c7,c9). [resolve(58328,a,170,c),unit_del(b,47713)].
% 70.72/71.00 59953 midp(c7,c4,c7). [resolve(50114,a,57852,a)].
% 70.72/71.00 60181 midp(c7,c7,c5). [resolve(59953,a,50051,a)].
% 70.72/71.00 66162 midp(c7,c7,c9). [resolve(58529,a,60181,a)].
% 70.72/71.00 66179 cong(c7,c7,c7,c9). [resolve(66162,a,174,a)].
% 70.72/71.00 66197 cong(c7,c7,c9,c7). [resolve(66179,a,133,a)].
% 70.72/71.00 66213 perp(c7,c9,c7,c7). [resolve(66197,a,308,a)].
% 70.72/71.00 66232 perp(c7,c7,c7,c9). [resolve(66213,a,119,a)].
% 70.72/71.00 66251 perp(c5,c5,c7,c9). [resolve(66232,a,9320,a)].
% 70.72/71.00 66275 perp(c2,c3,c7,c9). [resolve(66251,a,6930,a)].
% 70.72/71.00 66297 $F. [resolve(66275,a,7888,a),unit_del(a,217)].
% 70.72/71.00
% 70.72/71.00 % SZS output end Refutation
% 70.72/71.00 ============================== end of proof ==========================
% 70.72/71.00
% 70.72/71.00 ============================== STATISTICS ============================
% 70.72/71.00
% 70.72/71.00 Given=41644. Generated=655399. Kept=66165. proofs=1.
% 70.72/71.00 Usable=39849. Sos=8794. Demods=0. Limbo=10, Disabled=17695. Hints=0.
% 70.72/71.00 Megabytes=29.24.
% 70.72/71.00 User_CPU=69.61, System_CPU=0.32, Wall_clock=70.
% 70.72/71.00
% 70.72/71.00 ============================== end of statistics =====================
% 70.72/71.00
% 70.72/71.00 ============================== end of search =========================
% 70.72/71.00
% 70.72/71.00 THEOREM PROVED
% 70.72/71.00 % SZS status Theorem
% 70.72/71.00
% 70.72/71.00 Exiting with 1 proof.
% 70.72/71.00
% 70.72/71.00 Process 28597 exit (max_proofs) Sat Jun 18 12:23:33 2022
% 70.72/71.00 Prover9 interrupted
%------------------------------------------------------------------------------