TSTP Solution File: GEO596+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 05:57:08 EDT 2022
% Result : Theorem 3.78s 4.09s
% Output : Refutation 3.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n014.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
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 600
% 0.18/0.33 % DateTime : Sat Jun 18 13:37:49 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.83/1.10 ============================== Prover9 ===============================
% 0.83/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.10 Process 12872 was started by sandbox2 on n014.cluster.edu,
% 0.83/1.10 Sat Jun 18 13:37:49 2022
% 0.83/1.10 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12719_n014.cluster.edu".
% 0.83/1.10 ============================== end of head ===========================
% 0.83/1.10
% 0.83/1.10 ============================== INPUT =================================
% 0.83/1.10
% 0.83/1.10 % Reading from file /tmp/Prover9_12719_n014.cluster.edu
% 0.83/1.10
% 0.83/1.10 set(prolog_style_variables).
% 0.83/1.10 set(auto2).
% 0.83/1.10 % set(auto2) -> set(auto).
% 0.83/1.10 % set(auto) -> set(auto_inference).
% 0.83/1.10 % set(auto) -> set(auto_setup).
% 0.83/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.10 % set(auto) -> set(auto_limits).
% 0.83/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.10 % set(auto) -> set(auto_denials).
% 0.83/1.10 % set(auto) -> set(auto_process).
% 0.83/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.10 % set(auto2) -> assign(stats, some).
% 0.83/1.10 % set(auto2) -> clear(echo_input).
% 0.83/1.10 % set(auto2) -> set(quiet).
% 0.83/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.10 % set(auto2) -> clear(print_given).
% 0.83/1.10 assign(lrs_ticks,-1).
% 0.83/1.10 assign(sos_limit,10000).
% 0.83/1.10 assign(order,kbo).
% 0.83/1.10 set(lex_order_vars).
% 0.83/1.10 clear(print_given).
% 0.83/1.10
% 0.83/1.10 % formulas(sos). % not echoed (95 formulas)
% 0.83/1.10
% 0.83/1.10 ============================== end of input ==========================
% 0.83/1.10
% 0.83/1.10 % From the command line: assign(max_seconds, 300).
% 0.83/1.10
% 0.83/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.10
% 0.83/1.10 % Formulas that are not ordinary clauses:
% 0.83/1.10 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 3 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 4 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 5 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 6 (all A all B all C all D all E all F (para(A,B,C,D) & para(C,D,E,F) -> para(A,B,E,F))) # label(ruleD6) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 7 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 8 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 9 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 10 (all A all B all C all D all E all F (para(A,B,C,D) & perp(C,D,E,F) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 12 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 13 (all A all B all C all D all O (cong(O,A,O,B) & cong(O,A,O,C) & cong(O,A,O,D) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 14 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 15 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 16 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(B,A,C,D))) # label(ruleD16) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 17 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 18 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(B,A,C,D,P,Q,U,V))) # label(ruleD18) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 19 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 20 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(P,Q,U,V,A,B,C,D))) # label(ruleD20) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 21 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 22 (all A all B all C all D all P all Q all U all V all E all F all G all H (eqangle(A,B,C,D,P,Q,U,V) & eqangle(P,Q,U,V,E,F,G,H) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 23 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 24 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 25 (all A all B all C all D all E all F (cong(A,B,C,D) & cong(C,D,E,F) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 26 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(B,A,C,D,P,Q,U,V))) # label(ruleD26) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 27 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(C,D,A,B,U,V,P,Q))) # label(ruleD27) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 28 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(P,Q,U,V,A,B,C,D))) # label(ruleD28) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 29 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(A,B,P,Q,C,D,U,V))) # label(ruleD29) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 30 (all A all B all C all D all E all F all G all H all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & eqratio(P,Q,U,V,E,F,G,H) -> eqratio(A,B,C,D,E,F,G,H))) # label(ruleD30) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 31 (all A all B all C all P all Q all R (simtri(A,C,B,P,R,Q) -> simtri(A,B,C,P,Q,R))) # label(ruleD31) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 32 (all A all B all C all P all Q all R (simtri(B,A,C,Q,P,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD32) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 33 (all A all B all C all P all Q all R (simtri(P,Q,R,A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD33) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 34 (all A all B all C all E all F all G all P all Q all R (simtri(A,B,C,E,F,G) & simtri(E,F,G,P,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD34) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 35 (all A all B all C all P all Q all R (contri(A,C,B,P,R,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD35) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 36 (all A all B all C all P all Q all R (contri(B,A,C,Q,P,R) -> contri(A,B,C,P,Q,R))) # label(ruleD36) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 37 (all A all B all C all P all Q all R (contri(P,Q,R,A,B,C) -> contri(A,B,C,P,Q,R))) # label(ruleD37) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 38 (all A all B all C all E all F all G all P all Q all R (contri(A,B,C,E,F,G) & contri(E,F,G,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 39 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 41 (all A all B all P all Q (cyclic(A,B,P,Q) -> eqangle(P,A,P,B,Q,A,Q,B))) # label(ruleD41) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 42 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & -coll(P,Q,A) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 43 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 45 (all A all B all C all E all F (midp(E,A,B) & midp(F,A,C) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 46 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 47 (all A all B all O (cong(O,A,O,B) -> eqangle(O,A,A,B,A,B,O,B))) # label(ruleD46) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 48 (all A all B all O (eqangle(O,A,A,B,A,B,O,B) & -coll(O,A,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 49 (all A all B all C all O all X (circle(O,A,B,C) & perp(O,A,A,X) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 50 (all A all B all C all O all X (circle(O,A,B,C) & eqangle(A,X,A,B,C,A,C,B) -> perp(O,A,A,X))) # label(ruleD49) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 51 (all A all B all C all O all M (circle(O,A,B,C) & midp(M,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 53 (all A all B all C all M (perp(A,B,B,C) & midp(M,A,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 54 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 55 (all A all B all C all D (cyclic(A,B,C,D) & para(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 59 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & eqangle(A,C,B,C,P,R,Q,R) & -coll(A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 60 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqratio(A,B,A,C,P,Q,P,R))) # label(ruleD59) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 61 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqangle(A,B,B,C,P,Q,Q,R))) # label(ruleD60) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 62 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) & cong(A,B,P,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 63 (all A all B all C all P all Q all R (contri(A,B,C,P,Q,R) -> cong(A,B,P,Q))) # label(ruleD62) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 64 (all A all B all C all D all M (midp(M,A,B) & midp(M,C,D) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 66 (all A all B all C all D all O (para(A,B,C,D) & coll(O,A,C) & coll(O,B,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 68 (all A all B all C (cong(A,B,A,C) & coll(A,B,C) -> midp(A,B,C))) # label(ruleD67) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 71 (all A all B all C all D all M all N (midp(M,A,B) & midp(N,C,D) -> eqratio(M,A,A,B,N,C,C,D))) # label(ruleD70) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 72 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -para(A,B,C,D) -> perp(A,B,C,D))) # label(ruleD71) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 73 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -perp(A,B,C,D) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 74 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & para(P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 75 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & perp(P,Q,U,V) -> perp(A,B,C,D))) # label(ruleD74) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 76 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 77 (all A all M all O all X exists B (perp(O,M,M,A) & eqangle(X,O,M,O,M,O,A,O) -> coll(B,A,M) & coll(B,O,X))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 78 (all A all B all O all X exists M (cong(O,A,O,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 79 (all A all B all O all X exists M (perp(O,X,A,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 80 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 81 (all A all B all P all X all Y exists Q (eqangle(A,P,B,P,A,X,B,Y) & -coll(A,B,P) -> eqangle(A,P,B,P,A,Q,B,Q) & cyclic(X,B,P,Q))) # label(ruleX5) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 82 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> midp(P,A,D) & para(P,M,B,D) & para(P,N,A,C))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 83 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & midp(N,C,D) & coll(C,A,B) & coll(D,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 84 (all A all B all M all P all Q all R all M exists X (midp(M,A,B) & para(A,P,R,M) & para(A,P,B,Q) & coll(P,Q,R) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 85 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(O,C,O,P) & para(P,C,A,B) & cong(B,C,B,P))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 86 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,C) -> coll(P,C,B) & perp(A,P,C,B) & coll(Q,C,A) & perp(B,Q,C,A))) # label(ruleX10) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 87 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 88 (all A all B all C all D all M all N exists P exists Q (circle(M,A,B,C) & cong(M,A,M,D) & cong(N,A,N,B) & M != N -> coll(P,A,C) & cong(P,N,N,A) & coll(Q,B,D) & cong(Q,N,N,A))) # label(ruleX12) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 89 (all A all B all C all D all M exists O (cyclic(A,B,C,D) & para(A,B,C,D) & midp(M,A,B) -> circle(O,A,B,C))) # label(ruleX13) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 90 (all A all B all C all D exists O (perp(A,C,C,B) & cyclic(A,B,C,D) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 91 (all A all B all C all E all F exists P (perp(A,C,C,B) & coll(B,E,F) -> coll(P,E,F) & perp(P,A,E,F))) # label(ruleX15) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 92 (all A all B all C all D all M exists P (perp(A,B,A,C) & perp(C,A,C,D) & midp(M,B,D) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 93 (all A all B all O exists C (cong(O,A,O,B) & perp(A,O,O,B) -> coll(A,O,C) & cong(O,A,O,C))) # label(ruleX17) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 94 (all A all B all C all D all P all Q exists R (para(A,B,C,D) & coll(P,A,C) & coll(P,B,D) & coll(Q,A,B) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 95 -(all A all B all C all D all E all F all G all NWPNT1 (circle(D,A,B,C) & circle(D,A,E,NWPNT1) & coll(F,A,B) & coll(F,C,E) & para(A,E,G,F) & coll(G,B,C) -> eqangle(G,F,F,B,F,C,C,B))) # label(exemplo6GDDFULL416058) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.10
% 0.83/1.10 ============================== end of process non-clausal formulas ===
% 0.83/1.10
% 0.83/1.10 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.10
% 0.83/1.10 ============================== PREDICATE ELIMINATION =================
% 0.83/1.10 96 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(49)].
% 0.83/1.10 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | eqangle(B,C,B,D,E,B,E,D) | -cong(A,B,A,D) | -cong(A,B,A,E). [resolve(96,a,97,c)].
% 0.83/1.10 98 -circle(A,B,C,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E) # label(ruleD49) # label(axiom). [clausify(50)].
% 0.83/1.10 Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(E,A,A,B) | -cong(E,A,E,C) | -cong(E,A,E,D). [resolve(98,a,97,c)].
% 0.83/1.10 99 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(51)].
% 0.83/1.10 Derived: -midp(A,B,C) | eqangle(D,B,D,C,E,B,E,A) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(99,a,97,c)].
% 0.83/1.10 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 0.83/1.10 Derived: -coll(A,B,C) | -eqangle(D,B,D,C,E,B,E,A) | midp(A,B,C) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(100,a,97,c)].
% 0.83/1.10 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.83/1.10 Derived: -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 0.83/1.10 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.83/1.10 Derived: perp(f12(A,B,C,D),A,A,D) | -cong(D,A,D,B) | -cong(D,A,D,C). [resolve(102,a,97,c)].
% 0.83/1.10 103 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f13(B,C,D,E,A,F),B,D) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.10 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f13(B,E,F,C,A,D),B,F) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(103,a,97,c)].
% 0.83/1.10 104 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f13(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.10 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f13(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(104,a,97,c)].
% 0.83/1.10 105 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f14(B,C,D,E,A,F),C,E) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.10 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f14(B,E,F,C,A,D),E,C) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(105,a,97,c)].
% 0.83/1.10 106 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f14(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.83/1.10 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f14(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(106,a,97,c)].
% 0.83/1.10 107 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f15(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(89)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -perp(f15(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B). [resolve(107,d,96,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -eqangle(A,F,A,B,C,A,C,B) | perp(f15(A,B,C,D,E),A,A,F). [resolve(107,d,98,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -midp(F,B,C) | eqangle(A,B,A,C,f15(A,B,C,D,E),B,f15(A,B,C,D,E),F). [resolve(107,d,99,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -coll(F,B,C) | -eqangle(A,B,A,C,f15(A,B,C,D,E),B,f15(A,B,C,D,E),F) | midp(F,B,C). [resolve(107,d,100,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -coll(f15(A,B,C,D,E),A,C) | perp(A,B,B,C). [resolve(107,d,101,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | perp(f12(A,B,C,f15(A,B,C,D,E)),A,A,f15(A,B,C,D,E)). [resolve(107,d,102,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | coll(f13(A,B,C,F,f15(A,B,C,D,E),V6),A,C). [resolve(107,d,103,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | cong(f13(A,B,C,F,f15(A,B,C,D,E),V6),V6,V6,A). [resolve(107,d,104,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | coll(f14(A,B,C,F,f15(A,B,C,D,E),V6),B,F). [resolve(107,d,105,a)].
% 0.83/1.10 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | cong(f14(A,B,C,F,f15(A,B,C,D,E),V6),V6,V6,A). [resolve(107,d,106,a)].
% 0.83/1.10 108 -perp(A,B,B,C) | -cyclic(A,C,B,D) | circle(f16(A,C,B,D),A,C,B) # label(ruleX14) # label(axiom). [clausify(90)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -perp(f16(A,C,B,D),A,A,E) | eqangle(A,E,A,C,B,A,B,C). [resolve(108,c,96,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -eqangle(A,E,A,C,B,A,B,C) | perp(f16(A,C,B,D),A,A,E). [resolve(108,c,98,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -midp(E,C,B) | eqangle(A,C,A,B,f16(A,C,B,D),C,f16(A,C,B,D),E). [resolve(108,c,99,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -coll(E,C,B) | -eqangle(A,C,A,B,f16(A,C,B,D),C,f16(A,C,B,D),E) | midp(E,C,B). [resolve(108,c,100,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -coll(f16(A,C,B,D),A,B) | perp(A,C,C,B). [resolve(108,c,101,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | perp(f12(A,C,B,f16(A,C,B,D)),A,A,f16(A,C,B,D)). [resolve(108,c,102,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | coll(f13(A,C,B,E,f16(A,C,B,D),F),A,B). [resolve(108,c,103,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | cong(f13(A,C,B,E,f16(A,C,B,D),F),F,F,A). [resolve(108,c,104,a)].
% 0.83/1.10 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | coll(f14(A,C,B,E,f16(A,C,B,D),F),C,E). [resolve(108,c,105,a)].
% 0.83/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | cong(f14(A,C,B,E,f16(A,C,B,D),F),F,F,A). [resolve(108,c,106,a)].
% 0.83/1.11 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 0.83/1.11 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.83/1.11 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.83/1.11 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.83/1.11 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.83/1.11 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.83/1.11 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.83/1.11 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)].
% 3.78/4.09 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)].
% 3.78/4.09 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)].
% 3.78/4.09 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)].
% 3.78/4.09 110 circle(c4,c1,c5,c8) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c8,c1,c8,c5). [resolve(110,a,96,a)].
% 3.78/4.09 Derived: -eqangle(c1,A,c1,c5,c8,c1,c8,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 3.78/4.09 Derived: -midp(A,c5,c8) | eqangle(c1,c5,c1,c8,c4,c5,c4,A). [resolve(110,a,99,a)].
% 3.78/4.09 Derived: -coll(A,c5,c8) | -eqangle(c1,c5,c1,c8,c4,c5,c4,A) | midp(A,c5,c8). [resolve(110,a,100,a)].
% 3.78/4.09 Derived: -coll(c4,c1,c8) | perp(c1,c5,c5,c8). [resolve(110,a,101,a)].
% 3.78/4.09 Derived: perp(f12(c1,c5,c8,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 3.78/4.09 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c8,A,c4,B),c1,c8). [resolve(110,a,103,a)].
% 3.78/4.09 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c8,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 3.78/4.09 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c8,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 3.78/4.09 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c8,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 3.78/4.09
% 3.78/4.09 ============================== end predicate elimination =============
% 3.78/4.09
% 3.78/4.09 Auto_denials: (non-Horn, no changes).
% 3.78/4.09
% 3.78/4.09 Term ordering decisions:
% 3.78/4.09 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=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.
% 3.78/4.09
% 3.78/4.09 ============================== end of process initial clauses ========
% 3.78/4.09
% 3.78/4.09 ============================== CLAUSES FOR SEARCH ====================
% 3.78/4.09
% 3.78/4.09 ============================== end of clauses for search =============
% 3.78/4.09
% 3.78/4.09 ============================== SEARCH ================================
% 3.78/4.09
% 3.78/4.09 % Starting search at 0.04 seconds.
% 3.78/4.09
% 3.78/4.09 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.13 sec).
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=57.000, iters=3345
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=49.000, iters=3355
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=48.000, iters=3340
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=39.000, iters=3383
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=34.000, iters=3341
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=31.000, iters=3350
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=26.000, iters=3333
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=25.000, iters=3340
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=23.000, iters=3340
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=22.000, iters=3333
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=21.000, iters=3359
% 3.78/4.09
% 3.78/4.09 Low Water (keep): wt=18.000, iters=3413
% 3.78/4.09
% 3.78/4.09 ============================== PROOF =================================
% 3.78/4.09 % SZS status Theorem
% 3.78/4.09 % SZS output start Refutation
% 3.78/4.09
% 3.78/4.09 % Proof 1 at 2.95 (+ 0.06) seconds.
% 3.78/4.09 % Length of proof is 404.
% 3.78/4.09 % Level of proof is 36.
% 3.78/4.09 % Maximum clause weight is 33.000.
% 3.78/4.09 % Given clauses 6816.
% 3.78/4.09
% 3.78/4.09 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 3.78/4.09 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 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].
% 3.78/4.09 90 (all A all B all C all D exists O (perp(A,C,C,B) & cyclic(A,B,C,D) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause). [assumption].
% 3.78/4.09 95 -(all A all B all C all D all E all F all G all NWPNT1 (circle(D,A,B,C) & circle(D,A,E,NWPNT1) & coll(F,A,B) & coll(F,C,E) & para(A,E,G,F) & coll(G,B,C) -> eqangle(G,F,F,B,F,C,C,B))) # label(exemplo6GDDFULL416058) # label(negated_conjecture) # label(non_clause). [assumption].
% 3.78/4.09 96 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(49)].
% 3.78/4.09 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 3.78/4.09 99 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(51)].
% 3.78/4.09 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 3.78/4.09 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 3.78/4.09 107 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f15(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(89)].
% 3.78/4.09 108 -perp(A,B,B,C) | -cyclic(A,C,B,D) | circle(f16(A,C,B,D),A,C,B) # label(ruleX14) # label(axiom). [clausify(90)].
% 3.78/4.09 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 3.78/4.09 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 3.78/4.09 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 3.78/4.09 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 3.78/4.09 115 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 3.78/4.09 116 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 3.78/4.09 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 3.78/4.09 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 3.78/4.09 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 3.78/4.09 120 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 3.78/4.09 121 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 3.78/4.09 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 3.78/4.09 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 3.78/4.09 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 3.78/4.09 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 3.78/4.09 127 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(B,A,C,D,E,F,V6,V7) # label(ruleD18) # label(axiom). [clausify(18)].
% 3.78/4.09 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 3.78/4.09 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 3.78/4.09 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 3.78/4.09 131 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(E,F,V6,V7,V8,V9,V10,V11) | eqangle(A,B,C,D,V8,V9,V10,V11) # label(ruleD22) # label(axiom). [clausify(22)].
% 3.78/4.09 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 3.78/4.09 133 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 3.78/4.09 149 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 3.78/4.09 150 -cyclic(A,B,C,D) | eqangle(C,A,C,B,D,A,D,B) # label(ruleD41) # label(axiom). [clausify(41)].
% 3.78/4.09 152 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 3.78/4.09 153 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 3.78/4.09 155 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 3.78/4.09 156 -cong(A,B,A,C) | eqangle(A,B,B,C,B,C,A,C) # label(ruleD46) # label(axiom). [clausify(47)].
% 3.78/4.09 159 -cyclic(A,B,C,D) | -para(A,B,C,D) | eqangle(A,D,C,D,C,D,C,B) # label(ruleD54) # label(axiom). [clausify(55)].
% 3.78/4.09 160 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 3.78/4.09 161 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 3.78/4.09 162 -cong(A,B,C,B) | -cong(A,D,C,D) | -cyclic(A,C,B,D) | perp(B,A,A,D) # label(ruleD57) # label(axiom). [clausify(58)].
% 3.78/4.09 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 3.78/4.09 170 -para(A,B,C,D) | -coll(E,A,C) | -coll(E,B,D) | eqratio(E,A,A,C,E,B,B,D) # label(ruleD65) # label(axiom). [clausify(66)].
% 3.78/4.09 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 3.78/4.09 177 -eqangle(A,B,C,D,E,F,V6,V7) | -para(E,F,V6,V7) | para(A,B,C,D) # label(ruleD73) # label(axiom). [clausify(74)].
% 3.78/4.09 178 -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)].
% 3.78/4.09 179 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(76)].
% 3.78/4.09 210 coll(c6,c1,c2) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 211 coll(c6,c3,c5) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 212 para(c1,c5,c7,c6) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 213 coll(c7,c2,c3) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 214 -eqangle(c7,c6,c6,c2,c6,c3,c3,c2) # label(exemplo6GDDFULL416058) # label(negated_conjecture). [clausify(95)].
% 3.78/4.09 217 -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)].
% 3.78/4.09 218 -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)].
% 3.78/4.09 225 -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)].
% 3.78/4.09 239 -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)].
% 3.78/4.09 258 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 3.78/4.09 281 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 3.78/4.09 286 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 3.78/4.09 287 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(153,a,b)].
% 3.78/4.09 291 -cong(A,B,C,B) | perp(A,C,B,B). [factor(161,a,b)].
% 3.78/4.09 295 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 3.78/4.09 319 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(218,d,e)].
% 3.78/4.09 347 coll(c6,c2,c1). [resolve(210,a,111,a)].
% 3.78/4.09 351 coll(c6,c5,c3). [resolve(211,a,111,a)].
% 3.78/4.09 362 eqangle(c1,c5,A,B,c7,c6,A,B). [resolve(212,a,149,a)].
% 3.78/4.09 364 -para(A,B,c1,c5) | para(A,B,c7,c6). [resolve(212,a,116,b)].
% 3.78/4.09 365 -para(c7,c6,A,B) | para(c1,c5,A,B). [resolve(212,a,116,a)].
% 3.78/4.09 366 para(c7,c6,c1,c5). [resolve(212,a,115,a)].
% 3.78/4.09 367 para(c1,c5,c6,c7). [resolve(212,a,114,a)].
% 3.78/4.09 371 coll(c7,c3,c2). [resolve(213,a,111,a)].
% 3.78/4.09 392 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(258,a,119,b)].
% 3.78/4.09 394 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(258,a,118,a)].
% 3.78/4.09 422 coll(c3,c3,c7). [resolve(281,a,213,a)].
% 3.78/4.09 423 coll(c5,c5,c6). [resolve(281,a,211,a)].
% 3.78/4.09 432 -coll(c6,c2,A) | coll(A,c1,c6). [resolve(347,a,113,b)].
% 3.78/4.09 433 -coll(c6,c2,A) | coll(c1,A,c6). [resolve(347,a,113,a)].
% 3.78/4.09 439 coll(c3,c3,c6). [resolve(351,a,281,a)].
% 3.78/4.09 448 -coll(c7,c3,A) | coll(A,c2,c7). [resolve(371,a,113,b)].
% 3.78/4.09 451 coll(c7,c7,c3). [resolve(422,a,281,a)].
% 3.78/4.09 452 -coll(c3,c3,A) | coll(A,c7,c3). [resolve(422,a,113,b)].
% 3.78/4.09 455 coll(c6,c6,c5). [resolve(423,a,281,a)].
% 3.78/4.09 458 coll(c5,c6,c5). [resolve(423,a,111,a)].
% 3.78/4.09 508 coll(c7,c3,c7). [resolve(451,a,111,a)].
% 3.78/4.09 515 coll(c6,c5,c6). [resolve(455,a,111,a)].
% 3.78/4.09 516 coll(c5,c5,c5). [resolve(458,a,281,a)].
% 3.78/4.09 572 coll(c7,c7,c7). [resolve(508,a,281,a)].
% 3.78/4.09 582 coll(c6,c6,c6). [resolve(515,a,281,a)].
% 3.78/4.09 608 eqangle(c1,c5,c7,c6,A,B,A,B). [resolve(362,a,130,a)].
% 3.78/4.09 610 eqangle(A,B,c1,c5,A,B,c7,c6). [resolve(362,a,128,a)].
% 3.78/4.09 646 para(c1,c5,c1,c5). [resolve(366,a,365,a)].
% 3.78/4.09 647 para(c7,c6,c7,c6). [resolve(366,a,364,a)].
% 3.78/4.09 663 para(c7,c6,c5,c1). [resolve(366,a,114,a)].
% 3.78/4.09 690 para(c6,c7,c1,c5). [resolve(367,a,115,a)].
% 3.78/4.09 704 coll(c1,c5,c5). [resolve(646,a,171,a)].
% 3.78/4.09 705 -coll(A,c1,c1) | -coll(A,c5,c5) | eqratio(A,c1,c1,c1,A,c5,c5,c5). [resolve(646,a,170,a)].
% 3.78/4.09 707 eqangle(c1,c5,A,B,c1,c5,A,B). [resolve(646,a,149,a)].
% 3.78/4.09 708 para(c1,c5,c5,c1). [resolve(646,a,114,a)].
% 3.78/4.09 709 coll(c5,c5,c1). [resolve(704,a,281,a)].
% 3.78/4.09 715 coll(c1,c1,c5). [resolve(709,a,281,a)].
% 3.78/4.09 726 coll(c1,c5,c1). [resolve(715,a,111,a)].
% 3.78/4.09 729 coll(c5,c1,c1). [resolve(726,a,112,a)].
% 3.78/4.09 741 coll(c7,c6,c6). [resolve(647,a,171,a)].
% 3.78/4.09 742 -coll(A,c7,c7) | -coll(A,c6,c6) | eqratio(A,c7,c7,c7,A,c6,c6,c6). [resolve(647,a,170,a)].
% 3.78/4.09 744 eqangle(c7,c6,A,B,c7,c6,A,B). [resolve(647,a,149,a)].
% 3.78/4.09 746 coll(c6,c6,c7). [resolve(741,a,281,a)].
% 3.78/4.09 752 coll(c7,c7,c6). [resolve(746,a,281,a)].
% 3.78/4.09 759 coll(c7,c6,c7). [resolve(752,a,111,a)].
% 3.78/4.09 762 coll(c6,c7,c7). [resolve(759,a,112,a)].
% 3.78/4.09 781 para(c5,c1,c7,c6). [resolve(663,a,115,a)].
% 3.78/4.09 782 para(c6,c7,c7,c6). [resolve(690,a,364,a)].
% 3.78/4.09 799 para(c6,c7,c5,c1). [resolve(690,a,114,a)].
% 3.78/4.09 819 para(c5,c1,c1,c5). [resolve(708,a,115,a)].
% 3.78/4.09 850 para(c5,c1,c6,c7). [resolve(781,a,114,a)].
% 3.78/4.09 866 para(c6,c7,c6,c7). [resolve(782,a,114,a)].
% 3.78/4.09 878 -midp(c6,A,c5) | -coll(c7,A,c1) | midp(c7,A,c1). [resolve(799,a,155,b)].
% 3.78/4.09 880 -perp(c5,c1,A,B) | perp(c6,c7,A,B). [resolve(799,a,120,a)].
% 3.78/4.09 898 para(c5,c1,c5,c1). [resolve(819,a,114,a)].
% 3.78/4.09 910 -midp(c5,A,c6) | -coll(c1,A,c7) | midp(c1,A,c7). [resolve(850,a,155,b)].
% 3.78/4.09 926 eqangle(c6,c7,A,B,c6,c7,A,B). [resolve(866,a,149,a)].
% 3.78/4.09 929 -midp(A,c5,c5) | midp(A,c1,c1). [resolve(898,a,295,b)].
% 3.78/4.09 938 eqangle(c5,c1,A,B,c5,c1,A,B). [resolve(898,a,149,a)].
% 3.78/4.09 940 coll(c6,c7,c3). [resolve(452,a,439,a)].
% 3.78/4.09 947 coll(c7,c6,c3). [resolve(940,a,112,a)].
% 3.78/4.09 958 coll(c7,c3,c6). [resolve(947,a,111,a)].
% 3.78/4.09 980 coll(c6,c2,c7). [resolve(958,a,448,a)].
% 3.78/4.09 1016 coll(c1,c7,c6). [resolve(980,a,433,a)].
% 3.78/4.09 1017 coll(c7,c1,c6). [resolve(980,a,432,a)].
% 3.78/4.09 1053 coll(c1,c6,c7). [resolve(1016,a,111,a)].
% 3.78/4.09 1058 coll(c7,c6,c1). [resolve(1017,a,111,a)].
% 3.78/4.09 1097 coll(c7,c7,c1). [resolve(1053,a,281,a)].
% 3.78/4.09 1104 coll(c1,c1,c7). [resolve(1058,a,281,a)].
% 3.78/4.09 1157 -coll(c7,c7,A) | coll(c1,A,c7). [resolve(1097,a,113,a)].
% 3.78/4.09 1163 para(c1,c4,c1,c4). [resolve(394,a,392,a)].
% 3.78/4.09 1181 -coll(c1,c1,A) | coll(c7,A,c1). [resolve(1104,a,113,a)].
% 3.78/4.09 1384 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(1163,a,295,b)].
% 3.78/4.09 1394 eqangle(c1,c4,A,B,c1,c4,A,B). [resolve(1163,a,149,a)].
% 3.78/4.09 1395 para(c1,c4,c4,c1). [resolve(1163,a,114,a)].
% 3.78/4.09 1448 para(c4,c1,c1,c4). [resolve(1395,a,115,a)].
% 3.78/4.09 1464 para(c4,c1,c4,c1). [resolve(1448,a,114,a)].
% 3.78/4.09 1476 eqangle(c4,c1,A,B,c4,c1,A,B). [resolve(1464,a,149,a)].
% 3.78/4.09 1914 -perp(A,B,A,B) | perp(c1,c5,c7,c6). [resolve(608,a,178,a)].
% 3.78/4.09 1916 -eqangle(A,B,A,B,C,D,E,F) | eqangle(c1,c5,c7,c6,C,D,E,F). [resolve(608,a,131,a)].
% 3.78/4.09 1917 eqangle(A,B,A,B,c1,c5,c7,c6). [resolve(608,a,129,a)].
% 3.78/4.09 1924 -perp(A,B,c7,c6) | perp(A,B,c1,c5). [resolve(610,a,178,a)].
% 3.78/4.09 2212 eqratio(c5,c1,c1,c1,c5,c5,c5,c5). [resolve(705,b,516,a),unit_del(a,729)].
% 3.78/4.09 2213 midp(c5,c5,c5) | -cong(c1,c1,c1,c5). [resolve(707,a,319,b),unit_del(a,516)].
% 3.78/4.09 2223 -cyclic(c5,A,c1,c5) | -cyclic(c5,A,c1,A) | -cyclic(c5,A,c1,c1) | cong(c5,A,c5,A). [resolve(707,a,153,d)].
% 3.78/4.09 2224 -coll(c1,c1,A) | cyclic(c5,A,c1,c1). [resolve(707,a,152,a)].
% 3.78/4.09 2321 eqratio(c6,c7,c7,c7,c6,c6,c6,c6). [resolve(742,a,762,a),unit_del(a,582)].
% 3.78/4.09 2325 midp(c6,c6,c6) | -cong(c7,c7,c7,c6). [resolve(744,a,319,b),unit_del(a,582)].
% 3.78/4.09 2335 -cyclic(c6,A,c7,c6) | -cyclic(c6,A,c7,A) | -cyclic(c6,A,c7,c7) | cong(c6,A,c6,A). [resolve(744,a,153,d)].
% 3.78/4.09 2336 -coll(c7,c7,A) | cyclic(c6,A,c7,c7). [resolve(744,a,152,a)].
% 3.78/4.09 4018 midp(c7,c7,c7) | -cong(c6,c6,c6,c7). [resolve(926,a,319,b),unit_del(a,572)].
% 3.78/4.09 4028 -cyclic(c7,A,c6,c7) | -cyclic(c7,A,c6,A) | -cyclic(c7,A,c6,c6) | cong(c7,A,c7,A). [resolve(926,a,153,d)].
% 3.78/4.09 4029 -coll(c6,c6,A) | cyclic(c7,A,c6,c6). [resolve(926,a,152,a)].
% 3.78/4.09 4369 -coll(c5,c5,A) | cyclic(c1,A,c5,c5). [resolve(938,a,152,a)].
% 3.78/4.09 6032 -cyclic(c4,c4,c1,c4) | -cyclic(c4,c4,c1,c1) | cong(c4,c4,c4,c4). [resolve(1394,a,287,c)].
% 3.78/4.09 6040 -cyclic(c4,A,c1,c4) | -cyclic(c4,A,c1,A) | -cyclic(c4,A,c1,c1) | cong(c4,A,c4,A). [resolve(1394,a,153,d)].
% 3.78/4.09 6041 -coll(c1,c1,A) | cyclic(c4,A,c1,c1). [resolve(1394,a,152,a)].
% 3.78/4.09 7430 -cyclic(c1,A,c4,c1) | -cyclic(c1,A,c4,A) | -cyclic(c1,A,c4,c4) | cong(c1,A,c1,A). [resolve(1476,a,153,d)].
% 3.78/4.09 7431 -coll(c4,c4,A) | cyclic(c1,A,c4,c4). [resolve(1476,a,152,a)].
% 3.78/4.09 10437 -perp(c1,c5,c7,c6) | perp(A,B,A,B). [resolve(1917,a,178,a)].
% 3.78/4.09 10438 para(A,B,A,B). [resolve(1917,a,177,a),unit_del(a,212)].
% 3.78/4.09 10440 -eqangle(c1,c5,c7,c6,A,B,C,D) | eqangle(E,F,E,F,A,B,C,D). [resolve(1917,a,131,a)].
% 3.78/4.09 10450 -midp(A,B,B) | midp(A,C,C). [resolve(10438,a,295,b)].
% 3.78/4.09 10451 coll(A,B,B). [resolve(10438,a,171,a)].
% 3.78/4.09 10453 -midp(A,B,A) | -coll(C,B,C) | midp(C,B,C). [resolve(10438,a,155,b)].
% 3.78/4.09 10678 coll(A,A,B). [resolve(10451,a,281,a)].
% 3.78/4.09 10681 coll(A,B,A). [resolve(10451,a,112,a)].
% 3.78/4.09 10736 cyclic(c1,A,c4,c4). [back_unit_del(7431),unit_del(a,10678)].
% 3.78/4.09 10767 cyclic(c4,A,c1,c1). [back_unit_del(6041),unit_del(a,10678)].
% 3.78/4.09 10794 cyclic(c1,A,c5,c5). [back_unit_del(4369),unit_del(a,10678)].
% 3.78/4.09 10795 cyclic(c7,A,c6,c6). [back_unit_del(4029),unit_del(a,10678)].
% 3.78/4.09 10828 cyclic(c6,A,c7,c7). [back_unit_del(2336),unit_del(a,10678)].
% 3.78/4.09 10829 cyclic(c5,A,c1,c1). [back_unit_del(2224),unit_del(a,10678)].
% 3.78/4.09 10858 coll(c7,A,c1). [back_unit_del(1181),unit_del(a,10678)].
% 3.78/4.09 10860 coll(c1,A,c7). [back_unit_del(1157),unit_del(a,10678)].
% 3.78/4.09 10915 -midp(A,B,A) | midp(C,B,C). [back_unit_del(10453),unit_del(b,10681)].
% 3.78/4.09 10930 -cyclic(c1,A,c4,c1) | -cyclic(c1,A,c4,A) | cong(c1,A,c1,A). [back_unit_del(7430),unit_del(c,10736)].
% 3.78/4.09 10933 -cyclic(c4,A,c1,c4) | -cyclic(c4,A,c1,A) | cong(c4,A,c4,A). [back_unit_del(6040),unit_del(c,10767)].
% 3.78/4.09 10934 -cyclic(c4,c4,c1,c4) | cong(c4,c4,c4,c4). [back_unit_del(6032),unit_del(b,10767)].
% 3.78/4.09 10939 -cyclic(c7,A,c6,c7) | -cyclic(c7,A,c6,A) | cong(c7,A,c7,A). [back_unit_del(4028),unit_del(c,10795)].
% 3.78/4.09 10942 -cyclic(c6,A,c7,c6) | -cyclic(c6,A,c7,A) | cong(c6,A,c6,A). [back_unit_del(2335),unit_del(c,10828)].
% 3.78/4.09 10945 -cyclic(c5,A,c1,c5) | -cyclic(c5,A,c1,A) | cong(c5,A,c5,A). [back_unit_del(2223),unit_del(c,10829)].
% 3.78/4.09 10977 -midp(c6,A,c5) | midp(c7,A,c1). [back_unit_del(878),unit_del(b,10858)].
% 3.78/4.09 10996 -midp(c5,A,c6) | midp(c1,A,c7). [back_unit_del(910),unit_del(b,10860)].
% 3.78/4.09 11226 coll(A,B,C). [resolve(10678,a,113,b),unit_del(a,10678)].
% 3.78/4.09 11246 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E). [back_unit_del(155),unit_del(c,11226)].
% 3.78/4.09 11302 cyclic(A,c4,c4,c4). [resolve(10736,a,286,a)].
% 3.78/4.09 11316 cyclic(A,c1,c4,c4). [resolve(10736,a,125,a)].
% 3.78/4.09 11317 cyclic(c1,c4,A,c4). [resolve(10736,a,124,a)].
% 3.78/4.09 11319 cyclic(A,c1,c1,c1). [resolve(10767,a,286,a)].
% 3.78/4.09 11331 -cyclic(c4,A,c1,B) | cyclic(A,c1,B,c1). [resolve(10767,a,126,b)].
% 3.78/4.09 11333 cyclic(A,c4,c1,c1). [resolve(10767,a,125,a)].
% 3.78/4.09 11334 cyclic(c4,c1,A,c1). [resolve(10767,a,124,a)].
% 3.78/4.09 11350 cyclic(A,c1,c5,c5). [resolve(10794,a,125,a)].
% 3.78/4.09 11353 cyclic(A,c6,c6,c6). [resolve(10795,a,286,a)].
% 3.78/4.09 11367 cyclic(A,c7,c6,c6). [resolve(10795,a,125,a)].
% 3.78/4.09 11368 cyclic(c7,c6,A,c6). [resolve(10795,a,124,a)].
% 3.78/4.09 11384 cyclic(A,c6,c7,c7). [resolve(10828,a,125,a)].
% 3.78/4.09 11385 cyclic(c6,c7,A,c7). [resolve(10828,a,124,a)].
% 3.78/4.09 11401 cyclic(c5,c1,A,c1). [resolve(10829,a,124,a)].
% 3.78/4.09 11436 cyclic(c4,A,c4,c4). [resolve(11302,a,125,a)].
% 3.78/4.09 11450 cyclic(A,c4,c1,c4). [resolve(11316,a,124,a)].
% 3.78/4.09 11451 cong(c4,c4,c4,c4). [back_unit_del(10934),unit_del(a,11450)].
% 3.78/4.09 11466 cyclic(c4,c1,A,c4). [resolve(11317,a,125,a)].
% 3.78/4.09 11467 cyclic(c1,c4,c4,A). [resolve(11317,a,123,a)].
% 3.78/4.09 11484 cyclic(c1,A,c1,c1). [resolve(11319,a,125,a)].
% 3.78/4.09 11498 cyclic(A,c1,c4,c1). [resolve(11333,a,124,a)].
% 3.78/4.09 11514 cyclic(c1,c4,A,c1). [resolve(11334,a,125,a)].
% 3.78/4.09 11515 cyclic(c4,c1,c1,A). [resolve(11334,a,123,a)].
% 3.78/4.09 11544 cyclic(A,c5,c1,c5). [resolve(11350,a,124,a)].
% 3.78/4.09 11578 cyclic(c6,A,c6,c6). [resolve(11353,a,125,a)].
% 3.78/4.09 11592 cyclic(A,c6,c7,c6). [resolve(11367,a,124,a)].
% 3.78/4.09 11608 cyclic(c6,c7,A,c6). [resolve(11368,a,125,a)].
% 3.78/4.09 11609 cyclic(c7,c6,c6,A). [resolve(11368,a,123,a)].
% 3.78/4.09 11640 cyclic(A,c7,c6,c7). [resolve(11384,a,124,a)].
% 3.78/4.09 11656 cyclic(c7,c6,A,c7). [resolve(11385,a,125,a)].
% 3.78/4.09 11657 cyclic(c6,c7,c7,A). [resolve(11385,a,123,a)].
% 3.78/4.09 11686 cyclic(c1,c5,A,c1). [resolve(11401,a,125,a)].
% 3.78/4.09 11756 cyclic(c4,c4,A,c4). [resolve(11436,a,124,a)].
% 3.78/4.09 11770 cyclic(c4,A,c1,c4). [resolve(11450,a,125,a)].
% 3.78/4.09 11772 -cyclic(c4,A,c1,A) | cong(c4,A,c4,A). [back_unit_del(10933),unit_del(a,11770)].
% 3.78/4.09 11803 perp(c4,c4,c4,c4). [resolve(11451,a,291,a)].
% 3.78/4.09 11839 -cyclic(c4,c1,A,B) | cyclic(c1,A,c4,B). [resolve(11466,a,126,a)].
% 3.78/4.09 11840 cyclic(c4,c1,c4,A). [resolve(11466,a,123,a)].
% 3.78/4.09 11841 cyclic(c4,c4,A,A). [resolve(11467,a,286,a)].
% 3.78/4.09 11855 cyclic(c4,c4,A,B). [resolve(11467,a,126,b),unit_del(a,11467)].
% 3.78/4.09 11982 cyclic(c1,c1,A,c1). [resolve(11484,a,124,a)].
% 3.78/4.09 11996 cyclic(c1,A,c4,c1). [resolve(11498,a,125,a)].
% 3.78/4.09 11998 -cyclic(c1,A,c4,A) | cong(c1,A,c1,A). [back_unit_del(10930),unit_del(a,11996)].
% 3.78/4.09 12059 -cyclic(c1,c4,A,B) | cyclic(c4,A,c1,B). [resolve(11514,a,126,a)].
% 3.78/4.09 12075 cyclic(c1,c1,A,B). [resolve(11515,a,126,b),unit_del(a,11515)].
% 3.78/4.09 12103 cyclic(c5,A,c1,c5). [resolve(11544,a,125,a)].
% 3.78/4.09 12105 -cyclic(c5,A,c1,A) | cong(c5,A,c5,A). [back_unit_del(10945),unit_del(a,12103)].
% 3.78/4.09 12287 cyclic(c6,c6,A,c6). [resolve(11578,a,124,a)].
% 3.78/4.09 12301 cyclic(c6,A,c7,c6). [resolve(11592,a,125,a)].
% 3.78/4.09 12303 -cyclic(c6,A,c7,A) | cong(c6,A,c6,A). [back_unit_del(10942),unit_del(a,12301)].
% 3.78/4.09 12364 -cyclic(c6,c7,A,B) | cyclic(c7,A,c6,B). [resolve(11608,a,126,a)].
% 3.78/4.09 12365 cyclic(c6,c7,c6,A). [resolve(11608,a,123,a)].
% 3.78/4.09 12380 cyclic(c6,c6,A,B). [resolve(11609,a,126,b),unit_del(a,11609)].
% 3.78/4.09 12502 cyclic(c7,A,c6,c7). [resolve(11640,a,125,a)].
% 3.78/4.09 12504 -cyclic(c7,A,c6,A) | cong(c7,A,c7,A). [back_unit_del(10939),unit_del(a,12502)].
% 3.78/4.09 12565 -cyclic(c7,c6,A,B) | cyclic(c6,A,c7,B). [resolve(11656,a,126,a)].
% 3.78/4.09 12581 cyclic(c7,c7,A,B). [resolve(11657,a,126,b),unit_del(a,11657)].
% 3.78/4.09 12612 -cyclic(c1,c5,A,B) | cyclic(c5,A,c1,B). [resolve(11686,a,126,a)].
% 3.78/4.09 12687 cyclic(c4,A,c4,B). [resolve(11756,a,126,a),unit_del(a,11855)].
% 3.78/4.09 12703 -cyclic(c4,A,c1,B) | cyclic(A,c1,c4,B). [resolve(11770,a,126,a)].
% 3.78/4.09 12718 perp(c1,c5,c7,c6). [resolve(11803,a,1914,a)].
% 3.78/4.09 12732 perp(A,B,A,B). [back_unit_del(10437),unit_del(a,12718)].
% 3.78/4.09 12750 cyclic(c1,c4,A,B). [resolve(11840,a,126,b),unit_del(a,12687)].
% 3.78/4.09 12751 cyclic(c4,A,c1,B). [back_unit_del(12059),unit_del(a,12750)].
% 3.78/4.09 12753 cyclic(A,c1,c4,B). [back_unit_del(12703),unit_del(a,12751)].
% 3.78/4.09 12755 cong(c4,A,c4,A). [back_unit_del(11772),unit_del(a,12751)].
% 3.78/4.09 12757 cyclic(A,c1,B,c1). [back_unit_del(11331),unit_del(a,12751)].
% 3.78/4.09 12802 cyclic(c4,A,B,A). [resolve(11841,a,126,b),unit_del(a,11855)].
% 3.78/4.09 12816 perp(A,c4,c4,B). [resolve(11855,a,162,c),unit_del(a,12755),unit_del(b,12755)].
% 3.78/4.09 12818 cyclic(c4,A,B,C). [resolve(11855,a,126,b),unit_del(a,11855)].
% 3.78/4.09 12844 cyclic(c1,A,c4,B). [back_unit_del(11839),unit_del(a,12818)].
% 3.78/4.09 12848 cong(c1,A,c1,A). [back_unit_del(11998),unit_del(a,12844)].
% 3.78/4.09 12893 perp(A,c1,c1,c1). [resolve(11982,a,162,c),unit_del(a,12848),unit_del(b,12848)].
% 3.78/4.09 12911 -perp(f16(c1,A,c4,c1),c1,c1,B) | eqangle(c1,B,c1,A,c4,c1,c4,A). [resolve(11996,a,239,b),unit_del(a,12816)].
% 3.78/4.09 12983 -perp(c1,A,A,c1) | -perp(f16(c1,c1,A,B),c1,c1,C) | eqangle(c1,C,c1,c1,A,c1,A,c1). [resolve(12075,a,239,b)].
% 3.78/4.09 12989 perp(A,c1,c1,B). [resolve(12075,a,162,c),unit_del(a,12848),unit_del(b,12848)].
% 3.78/4.09 12991 cyclic(c1,A,B,C). [resolve(12075,a,126,b),unit_del(a,12075)].
% 3.78/4.09 12993 -perp(c1,A,A,c1) | eqangle(c1,B,c1,c1,A,c1,A,c1). [back_unit_del(12983),unit_del(b,12989)].
% 3.78/4.09 12997 eqangle(c1,A,c1,B,c4,c1,c4,B). [back_unit_del(12911),unit_del(a,12989)].
% 3.78/4.09 13042 cyclic(c5,A,c1,B). [back_unit_del(12612),unit_del(a,12991)].
% 3.78/4.09 13048 cong(c5,A,c5,A). [back_unit_del(12105),unit_del(a,13042)].
% 3.78/4.09 13215 cyclic(c6,A,c6,B). [resolve(12287,a,126,a),unit_del(a,12380)].
% 3.78/4.09 13272 cyclic(c7,c6,A,B). [resolve(12365,a,126,b),unit_del(a,13215)].
% 3.78/4.09 13273 cyclic(c6,A,c7,B). [back_unit_del(12565),unit_del(a,13272)].
% 3.78/4.09 13277 cong(c6,A,c6,A). [back_unit_del(12303),unit_del(a,13273)].
% 3.78/4.09 13340 cyclic(c6,A,B,C). [resolve(12380,a,126,b),unit_del(a,12380)].
% 3.78/4.09 13366 cyclic(c7,A,c6,B). [back_unit_del(12364),unit_del(a,13340)].
% 3.78/4.09 13370 cong(c7,A,c7,A). [back_unit_del(12504),unit_del(a,13366)].
% 3.78/4.09 13426 eqangle(c6,c7,c6,A,c7,c7,c7,A). [resolve(12502,a,150,a)].
% 3.78/4.09 13503 perp(A,c7,c7,B). [resolve(12581,a,162,c),unit_del(a,13370),unit_del(b,13370)].
% 3.78/4.09 13657 perp(A,B,B,A). [resolve(12732,a,117,a)].
% 3.78/4.09 13670 eqangle(c1,A,c1,c1,B,c1,B,c1). [back_unit_del(12993),unit_del(a,13657)].
% 3.78/4.09 13754 -para(A,c1,c4,B) | eqangle(A,B,c4,B,c4,B,c4,c1). [resolve(12753,a,159,a)].
% 3.78/4.09 13819 perp(c4,c4,A,B). [resolve(12755,a,161,b),unit_del(a,12755)].
% 3.78/4.09 13820 eqangle(c4,A,A,A,A,A,c4,A). [resolve(12755,a,156,a)].
% 3.78/4.09 13869 eqangle(A,B,A,c1,c1,B,c1,c1). [resolve(12757,a,150,a)].
% 3.78/4.09 14001 eqangle(A,c4,A,B,B,c4,B,B). [resolve(12802,a,150,a)].
% 3.78/4.09 14065 -para(c4,A,B,C) | -midp(D,c4,A) | eqangle(c4,E,c4,A,B,c4,B,A). [resolve(12818,a,225,a),unit_del(c,12816)].
% 3.78/4.09 14129 -midp(A,B,C) | eqangle(B,B,B,C,c1,B,c1,A) | -cong(c1,B,c1,C). [resolve(12848,a,217,c)].
% 3.78/4.09 14130 perp(c1,c1,A,B). [resolve(12848,a,161,b),unit_del(a,12848)].
% 3.78/4.09 14222 para(A,c1,B,C). [resolve(12893,a,119,a),unit_del(a,14130)].
% 3.78/4.09 14240 eqangle(A,B,c4,B,c4,B,c4,c1). [back_unit_del(13754),unit_del(a,14222)].
% 3.78/4.09 14340 perp(c6,c7,c1,A). [resolve(12989,a,880,a)].
% 3.78/4.09 14416 cong(c5,A,A,c5). [resolve(13048,a,132,a)].
% 3.78/4.09 14599 cong(c6,A,A,c6). [resolve(13277,a,132,a)].
% 3.78/4.09 14859 perp(A,c7,c1,c5). [resolve(13503,a,1924,a)].
% 3.78/4.09 14945 -perp(A,B,c4,c4) | para(A,B,C,D). [resolve(13819,a,119,b)].
% 3.78/4.09 14946 perp(A,B,c4,c4). [resolve(13819,a,118,a)].
% 3.78/4.09 14947 para(A,B,C,D). [back_unit_del(14945),unit_del(a,14946)].
% 3.78/4.09 14955 -midp(A,c4,B) | eqangle(c4,C,c4,B,D,c4,D,B). [back_unit_del(14065),unit_del(a,14947)].
% 3.78/4.09 14983 -midp(A,B,C) | midp(D,B,E). [back_unit_del(11246),unit_del(b,14947)].
% 3.78/4.09 14987 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(149),unit_del(a,14947)].
% 3.78/4.09 15088 perp(c6,c7,A,c1). [resolve(14340,a,117,a)].
% 3.78/4.09 15118 cong(A,c5,c5,A). [resolve(14416,a,133,a)].
% 3.78/4.09 15171 cong(A,c6,c6,A). [resolve(14599,a,133,a)].
% 3.78/4.09 15265 perp(A,c7,c5,c1). [resolve(14859,a,117,a)].
% 3.78/4.09 15357 cong(c5,c1,c1,c1). [resolve(2212,a,179,a),unit_del(a,15118)].
% 3.78/4.09 15447 perp(A,c1,c6,c7). [resolve(15088,a,118,a)].
% 3.78/4.09 15552 cong(A,c6,A,c6). [resolve(15171,a,132,a)].
% 3.78/4.09 15700 -midp(c7,c5,c1) | cong(A,c5,A,c1). [resolve(15265,a,160,b)].
% 3.78/4.09 15756 cong(c1,c1,c5,c1). [resolve(15357,a,133,a)].
% 3.78/4.09 15796 -midp(c1,c6,c7) | cong(A,c6,A,c7). [resolve(15447,a,160,b)].
% 3.78/4.09 16020 cong(c1,c1,c1,c5). [resolve(15756,a,132,a)].
% 3.78/4.09 16023 midp(c5,c5,c5). [back_unit_del(2213),unit_del(b,16020)].
% 3.78/4.09 16024 midp(c5,c1,c1). [resolve(16023,a,929,a)].
% 3.78/4.09 16029 midp(c5,c4,c4). [resolve(16024,a,1384,a)].
% 3.78/4.09 16130 midp(c5,A,A). [resolve(10450,a,16029,a)].
% 3.78/4.09 16153 cong(c6,c7,c7,c7). [resolve(2321,a,179,a),unit_del(a,15552)].
% 3.78/4.09 16161 cong(c7,c7,c6,c7). [resolve(16153,a,133,a)].
% 3.78/4.09 16164 cong(c7,c7,c7,c6). [resolve(16161,a,132,a)].
% 3.78/4.09 16166 midp(c6,c6,c6). [back_unit_del(2325),unit_del(b,16164)].
% 3.78/4.09 16167 midp(c6,A,A). [resolve(16166,a,10450,a)].
% 3.78/4.09 16672 midp(c7,c5,c1). [resolve(10977,a,16167,a)].
% 3.78/4.09 16673 cong(A,c5,A,c1). [back_unit_del(15700),unit_del(a,16672)].
% 3.78/4.09 16818 cong(A,c5,c1,A). [resolve(16673,a,132,a)].
% 3.78/4.09 16913 cong(c1,A,A,c5). [resolve(16818,a,133,a)].
% 3.78/4.09 16939 cong(c1,A,c5,A). [resolve(16913,a,132,a)].
% 3.78/4.09 16968 perp(c1,c5,A,B). [resolve(16939,a,161,b),unit_del(a,16939)].
% 3.78/4.09 17012 -midp(c5,A,B) | cong(c1,A,c1,B). [resolve(16968,a,160,b)].
% 3.78/4.09 17139 midp(c1,c6,c7). [resolve(10996,a,16130,a)].
% 3.78/4.09 17140 cong(A,c6,A,c7). [back_unit_del(15796),unit_del(a,17139)].
% 3.78/4.09 17175 midp(c7,c7,c7). [back_unit_del(4018),unit_del(b,17140)].
% 3.78/4.09 17219 midp(A,c7,A). [resolve(17175,a,10915,a)].
% 3.78/4.09 17238 midp(A,A,c7). [resolve(17219,a,121,a)].
% 3.78/4.09 17843 midp(A,B,C). [resolve(14983,a,17238,a)].
% 3.78/4.09 18060 cong(c1,A,c1,B). [back_unit_del(17012),unit_del(a,17843)].
% 3.78/4.09 18122 eqangle(c4,A,c4,B,C,c4,C,B). [back_unit_del(14955),unit_del(a,17843)].
% 3.78/4.09 18134 eqangle(A,A,A,B,c1,A,c1,C). [back_unit_del(14129),unit_del(a,17843),unit_del(c,18060)].
% 3.78/4.09 20103 -eqangle(c4,c1,c4,A,B,C,D,E) | eqangle(c1,F,c1,A,B,C,D,E). [resolve(12997,a,131,a)].
% 3.78/4.09 20199 eqangle(c7,c6,c6,A,c7,c7,c7,A). [resolve(13426,a,127,a)].
% 3.78/4.09 20297 -eqangle(A,c1,A,c1,B,C,D,E) | eqangle(c1,F,c1,c1,B,C,D,E). [resolve(13670,a,131,a)].
% 3.78/4.09 20363 eqangle(A,c4,A,A,A,A,c4,A). [resolve(13820,a,127,a)].
% 3.78/4.09 20423 -eqangle(c1,A,c1,c1,B,C,D,E) | eqangle(F,A,F,c1,B,C,D,E). [resolve(13869,a,131,a)].
% 3.78/4.09 20501 -eqangle(A,c4,A,A,B,C,D,E) | eqangle(F,c4,F,A,B,C,D,E). [resolve(14001,a,131,a)].
% 3.78/4.09 20591 -eqangle(c4,A,c4,c1,B,C,D,E) | eqangle(F,A,c4,A,B,C,D,E). [resolve(14240,a,131,a)].
% 3.78/4.09 20823 eqangle(c1,c5,c7,c6,A,B,C,D). [resolve(14987,a,1916,a)].
% 3.78/4.09 20833 eqangle(A,B,A,B,C,D,E,F). [back_unit_del(10440),unit_del(a,20823)].
% 3.78/4.09 20846 eqangle(c1,A,c1,c1,B,C,D,E). [back_unit_del(20297),unit_del(a,20833)].
% 3.78/4.09 20874 eqangle(A,B,A,c1,C,D,E,F). [back_unit_del(20423),unit_del(a,20846)].
% 3.78/4.09 20892 eqangle(A,B,c4,B,C,D,E,F). [back_unit_del(20591),unit_del(a,20874)].
% 3.78/4.09 21752 -eqangle(A,c4,A,B,C,D,E,F) | eqangle(c4,V6,c4,B,C,D,E,F). [resolve(18122,a,131,a)].
% 3.78/4.09 21779 -eqangle(c1,A,c1,B,C,D,E,F) | eqangle(A,A,A,V6,C,D,E,F). [resolve(18134,a,131,a)].
% 3.78/4.09 23011 -eqangle(c7,c7,c7,A,B,C,D,E) | eqangle(c7,c6,c6,A,B,C,D,E). [resolve(20199,a,131,a)].
% 3.78/4.09 23158 eqangle(A,c4,A,A,B,C,D,E). [resolve(20363,a,131,a),unit_del(a,20892)].
% 3.78/4.09 23160 eqangle(A,c4,A,B,C,D,E,F). [back_unit_del(20501),unit_del(a,23158)].
% 3.78/4.09 23163 eqangle(c4,A,c4,B,C,D,E,F). [back_unit_del(21752),unit_del(a,23160)].
% 3.78/4.09 23168 eqangle(c1,A,c1,B,C,D,E,F). [back_unit_del(20103),unit_del(a,23163)].
% 3.78/4.09 23178 eqangle(A,A,A,B,C,D,E,F). [back_unit_del(21779),unit_del(a,23168)].
% 3.78/4.09 23183 eqangle(c7,c6,c6,A,B,C,D,E). [back_unit_del(23011),unit_del(a,23178)].
% 3.78/4.09 23184 $F. [resolve(23183,a,214,a)].
% 3.78/4.09
% 3.78/4.09 % SZS output end Refutation
% 3.78/4.09 ============================== end of proof ==========================
% 3.78/4.09
% 3.78/4.09 ============================== STATISTICS ============================
% 3.78/4.09
% 3.78/4.09 Given=6816. Generated=76297. Kept=23057. proofs=1.
% 3.78/4.09 Usable=5452. Sos=5736. Demods=0. Limbo=5, Disabled=12033. Hints=0.
% 3.78/4.09 Megabytes=14.23.
% 3.78/4.09 User_CPU=2.95, System_CPU=0.06, Wall_clock=3.
% 3.78/4.09
% 3.78/4.09 ============================== end of statistics =====================
% 3.78/4.09
% 3.78/4.09 ============================== end of search =========================
% 3.78/4.09
% 3.78/4.09 THEOREM PROVED
% 3.78/4.09 % SZS status Theorem
% 3.78/4.09
% 3.78/4.09 Exiting with 1 proof.
% 3.78/4.09
% 3.78/4.09 Process 12872 exit (max_proofs) Sat Jun 18 13:37:52 2022
% 3.78/4.09 Prover9 interrupted
%------------------------------------------------------------------------------