TSTP Solution File: GEO561+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO561+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 05:56:57 EDT 2022
% Result : Theorem 16.65s 16.94s
% Output : Refutation 16.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO561+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 23:13:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.08 ============================== Prover9 ===============================
% 0.45/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.08 Process 20378 was started by sandbox on n022.cluster.edu,
% 0.45/1.08 Fri Jun 17 23:13:02 2022
% 0.45/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20224_n022.cluster.edu".
% 0.45/1.08 ============================== end of head ===========================
% 0.45/1.08
% 0.45/1.08 ============================== INPUT =================================
% 0.45/1.08
% 0.45/1.08 % Reading from file /tmp/Prover9_20224_n022.cluster.edu
% 0.45/1.08
% 0.45/1.08 set(prolog_style_variables).
% 0.45/1.08 set(auto2).
% 0.45/1.08 % set(auto2) -> set(auto).
% 0.45/1.08 % set(auto) -> set(auto_inference).
% 0.45/1.08 % set(auto) -> set(auto_setup).
% 0.45/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.08 % set(auto) -> set(auto_limits).
% 0.45/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.08 % set(auto) -> set(auto_denials).
% 0.45/1.08 % set(auto) -> set(auto_process).
% 0.45/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.08 % set(auto2) -> assign(stats, some).
% 0.45/1.08 % set(auto2) -> clear(echo_input).
% 0.45/1.08 % set(auto2) -> set(quiet).
% 0.45/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.08 % set(auto2) -> clear(print_given).
% 0.45/1.08 assign(lrs_ticks,-1).
% 0.45/1.08 assign(sos_limit,10000).
% 0.45/1.08 assign(order,kbo).
% 0.45/1.08 set(lex_order_vars).
% 0.45/1.08 clear(print_given).
% 0.45/1.08
% 0.45/1.08 % formulas(sos). % not echoed (95 formulas)
% 0.45/1.08
% 0.45/1.08 ============================== end of input ==========================
% 0.45/1.08
% 0.45/1.08 % From the command line: assign(max_seconds, 300).
% 0.45/1.08
% 0.45/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.08
% 0.45/1.08 % Formulas that are not ordinary clauses:
% 0.45/1.08 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 3 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 4 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 5 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 6 (all A all B all C all D all E all F (para(A,B,C,D) & para(C,D,E,F) -> para(A,B,E,F))) # label(ruleD6) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 7 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 8 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 9 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 10 (all A all B all C all D all E all F (para(A,B,C,D) & perp(C,D,E,F) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 12 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 13 (all A all B all C all D all O (cong(O,A,O,B) & cong(O,A,O,C) & cong(O,A,O,D) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 14 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 15 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 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].
% 0.45/1.08 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 95 -(all A all B all C all O all P all Q all N all M all E all D all NWPNT1 all NWPNT2 (circle(O,A,B,C) & perp(P,O,A,C) & coll(P,A,C) & perp(Q,O,A,B) & coll(Q,A,B) & coll(N,O,P) & circle(O,A,N,NWPNT1) & coll(M,O,Q) & circle(O,A,M,NWPNT2) & coll(E,A,C) & coll(E,N,M) & coll(D,A,B) & coll(D,N,M) -> eqangle(A,D,D,E,D,E,E,A))) # label(exemplo6GDDFULL214022) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.45/1.08
% 0.45/1.08 ============================== end of process non-clausal formulas ===
% 0.45/1.08
% 0.45/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.08
% 0.45/1.08 ============================== PREDICATE ELIMINATION =================
% 0.45/1.08 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)].
% 0.45/1.08 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 100 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.45/1.08 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)].
% 0.45/1.08 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.45/1.08 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)].
% 0.45/1.08 103 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 104 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 105 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 106 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 107 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 108 -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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 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)].
% 0.45/1.08 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 0.45/1.08 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.45/1.08 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.45/1.08 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.45/1.08 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.45/1.08 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.45/1.08 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 4.07/4.37 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)].
% 4.07/4.37 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)].
% 4.07/4.37 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)].
% 4.07/4.37 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)].
% 4.07/4.37 110 circle(c4,c1,c7,c11) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 4.07/4.37 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c7,c11,c1,c11,c7). [resolve(110,a,96,a)].
% 4.07/4.37 Derived: -eqangle(c1,A,c1,c7,c11,c1,c11,c7) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 4.07/4.37 Derived: -midp(A,c7,c11) | eqangle(c1,c7,c1,c11,c4,c7,c4,A). [resolve(110,a,99,a)].
% 4.07/4.37 Derived: -coll(A,c7,c11) | -eqangle(c1,c7,c1,c11,c4,c7,c4,A) | midp(A,c7,c11). [resolve(110,a,100,a)].
% 4.07/4.37 Derived: -coll(c4,c1,c11) | perp(c1,c7,c7,c11). [resolve(110,a,101,a)].
% 4.07/4.37 Derived: perp(f12(c1,c7,c11,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f13(c1,c7,c11,A,c4,B),c1,c11). [resolve(110,a,103,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f13(c1,c7,c11,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f14(c1,c7,c11,A,c4,B),c7,A). [resolve(110,a,105,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f14(c1,c7,c11,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 4.07/4.37 111 circle(c4,c1,c8,c12) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 4.07/4.37 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c8,c12,c1,c12,c8). [resolve(111,a,96,a)].
% 4.07/4.37 Derived: -eqangle(c1,A,c1,c8,c12,c1,c12,c8) | perp(c4,c1,c1,A). [resolve(111,a,98,a)].
% 4.07/4.37 Derived: -midp(A,c8,c12) | eqangle(c1,c8,c1,c12,c4,c8,c4,A). [resolve(111,a,99,a)].
% 4.07/4.37 Derived: -coll(A,c8,c12) | -eqangle(c1,c8,c1,c12,c4,c8,c4,A) | midp(A,c8,c12). [resolve(111,a,100,a)].
% 4.07/4.37 Derived: -coll(c4,c1,c12) | perp(c1,c8,c8,c12). [resolve(111,a,101,a)].
% 4.07/4.37 Derived: perp(f12(c1,c8,c12,c4),c1,c1,c4). [resolve(111,a,102,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c8) | B = c4 | coll(f13(c1,c8,c12,A,c4,B),c1,c12). [resolve(111,a,103,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c8) | B = c4 | cong(f13(c1,c8,c12,A,c4,B),B,B,c1). [resolve(111,a,104,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c8) | B = c4 | coll(f14(c1,c8,c12,A,c4,B),c8,A). [resolve(111,a,105,a)].
% 4.07/4.37 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c8) | B = c4 | cong(f14(c1,c8,c12,A,c4,B),B,B,c1). [resolve(111,a,106,a)].
% 4.07/4.37
% 4.07/4.37 ============================== end predicate elimination =============
% 4.07/4.37
% 4.07/4.37 Auto_denials: (non-Horn, no changes).
% 4.07/4.37
% 4.07/4.37 Term ordering decisions:
% 4.07/4.37 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. 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.
% 4.07/4.37
% 4.07/4.37 ============================== end of process initial clauses ========
% 4.07/4.37
% 4.07/4.37 ============================== CLAUSES FOR SEARCH ====================
% 4.07/4.37
% 4.07/4.37 ============================== end of clauses for search =============
% 4.07/4.37
% 4.07/4.37 ============================== SEARCH ================================
% 4.07/4.37
% 4.07/4.37 % Starting search at 0.02 seconds.
% 4.07/4.37
% 4.07/4.37 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.07 sec).
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=42.000, iters=3364
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=41.000, iters=3346
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=39.000, iters=3419
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=31.000, iters=3391
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=26.000, iters=3351
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=23.000, iters=3370
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=22.000, iters=3346
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=21.000, iters=3333
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=18.000, iters=3340
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=17.000, iters=3336
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=16.000, iters=3334
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=15.000, iters=3587
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=14.000, iters=3534
% 4.07/4.37
% 4.07/4.37 Low Water (keep): wt=13.000, iters=3335
% 4.07/4.37
% 4.07/4.37 Low Water (displace): id=9527, wt=57.000
% 4.07/4.37
% 4.07/4.37 Low Water (displace): id=9524, wt=49.000
% 16.65/16.94
% 16.65/16.94 Low Water (keep): wt=12.000, iters=3333
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=9647, wt=48.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=9642, wt=46.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10475, wt=45.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=9644, wt=44.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10496, wt=42.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10498, wt=41.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=8148, wt=40.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=9545, wt=39.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10697, wt=37.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=8298, wt=36.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10155, wt=34.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10698, wt=33.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=8200, wt=32.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10850, wt=31.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10518, wt=28.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=8299, wt=27.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10962, wt=26.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10699, wt=25.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=10574, wt=24.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=11341, wt=23.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=20026, wt=10.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=20035, wt=9.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=20057, wt=8.000
% 16.65/16.94
% 16.65/16.94 Low Water (displace): id=20064, wt=5.000
% 16.65/16.94
% 16.65/16.94 Low Water (keep): wt=10.000, iters=3335
% 16.65/16.94
% 16.65/16.94 ============================== PROOF =================================
% 16.65/16.94 % SZS status Theorem
% 16.65/16.94 % SZS output start Refutation
% 16.65/16.94
% 16.65/16.94 % Proof 1 at 15.77 (+ 0.10) seconds.
% 16.65/16.94 % Length of proof is 189.
% 16.65/16.94 % Level of proof is 28.
% 16.65/16.94 % Maximum clause weight is 29.000.
% 16.65/16.94 % Given clauses 20143.
% 16.65/16.94
% 16.65/16.94 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 16.65/16.94 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 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].
% 16.65/16.94 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 16.65/16.94 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].
% 16.65/16.94 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 16.65/16.94 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].
% 16.65/16.94 95 -(all A all B all C all O all P all Q all N all M all E all D all NWPNT1 all NWPNT2 (circle(O,A,B,C) & perp(P,O,A,C) & coll(P,A,C) & perp(Q,O,A,B) & coll(Q,A,B) & coll(N,O,P) & circle(O,A,N,NWPNT1) & coll(M,O,Q) & circle(O,A,M,NWPNT2) & coll(E,A,C) & coll(E,N,M) & coll(D,A,B) & coll(D,N,M) -> eqangle(A,D,D,E,D,E,E,A))) # label(exemplo6GDDFULL214022) # label(negated_conjecture) # label(non_clause). [assumption].
% 16.65/16.94 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 16.65/16.94 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 16.65/16.94 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 16.65/16.94 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 16.65/16.94 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 16.65/16.94 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 16.65/16.94 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 16.65/16.94 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 16.65/16.94 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 16.65/16.94 117 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 16.65/16.94 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 16.65/16.94 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 16.65/16.94 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 16.65/16.94 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 16.65/16.94 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 16.65/16.94 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 16.65/16.94 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 16.65/16.94 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(B,A,C,D,E,F,V6,V7) # label(ruleD18) # label(axiom). [clausify(18)].
% 16.65/16.94 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 16.65/16.94 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 16.65/16.94 131 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 16.65/16.94 132 -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)].
% 16.65/16.94 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 16.65/16.94 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 16.65/16.94 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 16.65/16.94 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 16.65/16.94 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 16.65/16.94 154 -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)].
% 16.65/16.94 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 16.65/16.94 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 16.65/16.94 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 16.65/16.94 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 16.65/16.94 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 16.65/16.94 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 16.65/16.94 211 perp(c5,c4,c1,c3) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 16.65/16.94 212 coll(c5,c1,c3) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 16.65/16.94 213 perp(c6,c4,c1,c2) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 16.65/16.94 215 coll(c7,c4,c5) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 16.65/16.94 221 -eqangle(c1,c10,c10,c9,c10,c9,c9,c1) # label(exemplo6GDDFULL214022) # label(negated_conjecture). [clausify(95)].
% 16.65/16.94 226 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 16.65/16.94 265 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 16.65/16.94 302 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 16.65/16.94 310 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(154,b,c)].
% 16.65/16.94 316 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 16.65/16.94 341 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(226,c,d)].
% 16.65/16.94 376 -perp(A,B,c5,c4) | para(A,B,c1,c3). [resolve(211,a,120,b)].
% 16.65/16.94 377 -perp(c1,c3,A,B) | para(c5,c4,A,B). [resolve(211,a,120,a)].
% 16.65/16.94 378 perp(c1,c3,c5,c4). [resolve(211,a,119,a)].
% 16.65/16.94 379 perp(c5,c4,c3,c1). [resolve(211,a,118,a)].
% 16.65/16.94 382 coll(c1,c5,c3). [resolve(212,a,113,a)].
% 16.65/16.94 396 -perp(c1,c2,A,B) | para(c6,c4,A,B). [resolve(213,a,120,a)].
% 16.65/16.94 397 perp(c1,c2,c6,c4). [resolve(213,a,119,a)].
% 16.65/16.94 405 coll(c4,c7,c5). [resolve(215,a,113,a)].
% 16.65/16.94 447 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(265,a,120,b)].
% 16.65/16.94 449 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(265,a,119,a)].
% 16.65/16.94 507 coll(c5,c5,c7). [resolve(302,a,215,a)].
% 16.65/16.94 509 coll(c3,c3,c5). [resolve(302,a,212,a)].
% 16.65/16.94 513 coll(c1,c3,c5). [resolve(382,a,112,a)].
% 16.65/16.94 526 coll(c5,c5,c4). [resolve(405,a,302,a)].
% 16.65/16.94 594 coll(c5,c7,c5). [resolve(507,a,112,a)].
% 16.65/16.94 599 coll(c5,c5,c3). [resolve(509,a,302,a)].
% 16.65/16.94 607 coll(c5,c5,c1). [resolve(513,a,302,a)].
% 16.65/16.94 629 coll(c4,c4,c5). [resolve(526,a,302,a)].
% 16.65/16.94 632 coll(c5,c4,c5). [resolve(526,a,112,a)].
% 16.65/16.94 693 para(c5,c4,c5,c4). [resolve(378,a,377,a)].
% 16.65/16.94 734 perp(c3,c1,c5,c4). [resolve(379,a,119,a)].
% 16.65/16.94 762 coll(c5,c5,c5). [resolve(594,a,302,a)].
% 16.65/16.94 808 -coll(c4,c4,A) | coll(c5,A,c4). [resolve(629,a,114,a)].
% 16.65/16.94 812 coll(c4,c5,c5). [resolve(632,a,113,a)].
% 16.65/16.94 912 para(c6,c4,c6,c4). [resolve(397,a,396,a)].
% 16.65/16.94 1066 -midp(A,c5,c5) | midp(A,c4,c4). [resolve(693,a,316,b)].
% 16.65/16.94 1075 eqangle(c5,c4,A,B,c5,c4,A,B). [resolve(693,a,150,a)].
% 16.65/16.94 1104 para(c3,c1,c1,c3). [resolve(734,a,376,a)].
% 16.65/16.94 1130 eqangle(c6,c4,A,B,c6,c4,A,B). [resolve(912,a,150,a)].
% 16.65/16.94 1234 para(c3,c1,c3,c1). [resolve(1104,a,115,a)].
% 16.65/16.94 1379 eqangle(c3,c1,A,B,c3,c1,A,B). [resolve(1234,a,150,a)].
% 16.65/16.94 1601 para(c1,c4,c1,c4). [resolve(449,a,447,a)].
% 16.65/16.94 2108 coll(c1,c4,c4). [resolve(1601,a,172,a)].
% 16.65/16.94 2112 para(c1,c4,c4,c1). [resolve(1601,a,115,a)].
% 16.65/16.94 2113 coll(c4,c4,c1). [resolve(2108,a,302,a)].
% 16.65/16.94 2123 coll(c1,c1,c4). [resolve(2113,a,302,a)].
% 16.65/16.94 2134 coll(c1,c4,c1). [resolve(2123,a,112,a)].
% 16.65/16.94 2156 eqangle(c1,c4,A,B,c4,c1,A,B). [resolve(2112,a,150,a)].
% 16.65/16.94 2157 -perp(c4,c1,A,B) | perp(c1,c4,A,B). [resolve(2112,a,121,a)].
% 16.65/16.94 2159 para(c4,c1,c1,c4). [resolve(2112,a,116,a)].
% 16.65/16.94 2175 para(c4,c1,c4,c1). [resolve(2159,a,115,a)].
% 16.65/16.94 2186 -midp(c4,A,c4) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(2175,a,156,b)].
% 16.65/16.94 4761 -cyclic(c4,c5,c5,c4) | -cyclic(c4,c5,c5,c5) | cong(c4,c5,c4,c5). [resolve(1075,a,310,c)].
% 16.65/16.94 4771 -coll(c5,c5,A) | cyclic(c4,A,c5,c5). [resolve(1075,a,153,a)].
% 16.65/16.94 4772 eqangle(c5,c4,c5,c4,A,B,A,B). [resolve(1075,a,131,a)].
% 16.65/16.94 4773 eqangle(A,B,c5,c4,A,B,c5,c4). [resolve(1075,a,129,a)].
% 16.65/16.94 4974 eqangle(c6,c4,c6,c4,A,B,A,B). [resolve(1130,a,131,a)].
% 16.65/16.94 6073 eqangle(A,B,c3,c1,A,B,c3,c1). [resolve(1379,a,129,a)].
% 16.65/16.94 12021 eqangle(c1,c4,c4,c1,A,B,A,B). [resolve(2156,a,131,a)].
% 16.65/16.94 18539 cyclic(c4,c5,c5,c5). [resolve(4771,a,762,a)].
% 16.65/16.94 18540 cyclic(c4,c1,c5,c5). [resolve(4771,a,607,a)].
% 16.65/16.94 18541 cyclic(c4,c3,c5,c5). [resolve(4771,a,599,a)].
% 16.65/16.94 18542 cyclic(c4,c4,c5,c5). [resolve(4771,a,526,a)].
% 16.65/16.94 18544 -cyclic(c4,c5,c5,c4) | cong(c4,c5,c4,c5). [back_unit_del(4761),unit_del(b,18539)].
% 16.65/16.94 18596 cyclic(c4,c5,c1,c5). [resolve(18540,a,125,a)].
% 16.65/16.94 18602 cyclic(c4,c5,c3,c5). [resolve(18541,a,125,a)].
% 16.65/16.94 18615 -cyclic(c4,c4,c5,A) | cyclic(c4,c5,c5,A). [resolve(18542,a,127,a)].
% 16.65/16.94 18616 cyclic(c4,c5,c4,c5). [resolve(18542,a,125,a)].
% 16.65/16.94 18761 cyclic(c4,c5,c5,c1). [resolve(18596,a,124,a)].
% 16.65/16.94 18785 cyclic(c4,c5,c5,c3). [resolve(18602,a,124,a)].
% 16.65/16.94 18790 cyclic(c4,c5,c5,c4). [resolve(18616,a,124,a)].
% 16.65/16.94 18792 cong(c4,c5,c4,c5). [back_unit_del(18544),unit_del(a,18790)].
% 16.65/16.94 18932 -cyclic(c4,c5,c5,A) | cyclic(c5,c5,A,c1). [resolve(18761,a,127,b)].
% 16.65/16.94 18949 -cyclic(c4,c5,c5,A) | cyclic(c5,c5,A,c3). [resolve(18785,a,127,b)].
% 16.65/16.94 18972 midp(c4,c5,c5). [resolve(18792,a,173,a),unit_del(a,812)].
% 16.65/16.94 18980 midp(c4,c4,c4). [resolve(18972,a,1066,a)].
% 16.65/16.94 19010 midp(c1,c4,c1). [resolve(18980,a,2186,a),unit_del(a,2134)].
% 16.65/16.94 19052 cong(c1,c4,c1,c1). [resolve(19010,a,174,a)].
% 16.65/16.94 19869 perp(c4,c1,c1,c1). [resolve(19052,a,341,c),unit_del(a,2134)].
% 16.65/16.94 20776 -coll(c5,A,c4) | cyclic(c4,c4,c5,A). [resolve(4772,a,153,a)].
% 16.65/16.94 20819 para(A,B,A,B). [resolve(4773,a,149,a)].
% 16.65/16.94 20922 perp(c1,c4,c1,c1). [resolve(19869,a,2157,a)].
% 16.65/16.94 22907 coll(A,B,B). [resolve(20819,a,172,a)].
% 16.65/16.94 22959 coll(A,A,B). [resolve(22907,a,302,a)].
% 16.65/16.94 23292 coll(c5,A,c4). [back_unit_del(808),unit_del(a,22959)].
% 16.65/16.94 23458 cyclic(c4,c4,c5,A). [back_unit_del(20776),unit_del(a,23292)].
% 16.65/16.94 23582 cyclic(c4,c5,c5,A). [back_unit_del(18615),unit_del(a,23458)].
% 16.65/16.94 23589 cyclic(c5,c5,A,c3). [back_unit_del(18949),unit_del(a,23582)].
% 16.65/16.94 23591 cyclic(c5,c5,A,c1). [back_unit_del(18932),unit_del(a,23582)].
% 16.65/16.94 23832 eqangle(A,B,A,B,c6,c4,c6,c4). [resolve(4974,a,130,a)].
% 16.65/16.94 23973 -perp(c1,c1,A,B) | para(c1,c4,A,B). [resolve(20922,a,120,a)].
% 16.65/16.94 23974 perp(c1,c1,c1,c4). [resolve(20922,a,119,a)].
% 16.65/16.94 25606 cyclic(c4,c5,A,B). [resolve(23458,a,127,b),unit_del(a,23458)].
% 16.65/16.94 25625 cyclic(c5,c5,A,B). [resolve(23582,a,127,b),unit_del(a,25606)].
% 16.65/16.94 25651 cyclic(c5,A,B,c3). [resolve(23589,a,127,b),unit_del(a,25625)].
% 16.65/16.94 25662 cyclic(c5,A,B,c1). [resolve(23591,a,127,b),unit_del(a,25625)].
% 16.65/16.94 26123 -perp(A,B,c1,c1) | para(A,B,c1,c4). [resolve(23974,a,120,b)].
% 16.65/16.94 26679 cyclic(c5,A,B,C). [resolve(25606,a,127,b),unit_del(a,25606)].
% 16.65/16.94 26758 cyclic(A,B,C,c3). [resolve(25651,a,127,b),unit_del(a,26679)].
% 16.65/16.94 26759 cyclic(A,B,c3,C). [resolve(25651,a,127,a),unit_del(a,26679)].
% 16.65/16.94 26776 cyclic(A,B,C,c1). [resolve(25662,a,127,b),unit_del(a,26679)].
% 16.65/16.94 27323 cong(A,c1,A,c1). [resolve(6073,a,154,d),unit_del(a,26759),unit_del(b,26776),unit_del(c,26758)].
% 16.65/16.94 27682 cong(A,c1,c1,A). [resolve(27323,a,133,a)].
% 16.65/16.94 27810 cong(c1,A,A,c1). [resolve(27682,a,134,a)].
% 16.65/16.94 27887 cong(c1,A,c1,A). [resolve(27810,a,133,a)].
% 16.65/16.94 28002 perp(c1,c1,A,B). [resolve(27887,a,162,b),unit_del(a,27887)].
% 16.65/16.94 28009 para(c1,c4,A,B). [back_unit_del(23973),unit_del(a,28002)].
% 16.65/16.94 28221 perp(A,B,c1,c1). [resolve(28002,a,119,a)].
% 16.65/16.94 28222 para(A,B,c1,c4). [back_unit_del(26123),unit_del(a,28221)].
% 16.65/16.94 28274 para(A,B,C,D). [resolve(28009,a,117,b),unit_del(a,28222)].
% 16.65/16.94 28286 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(150),unit_del(a,28274)].
% 16.65/16.94 29991 eqangle(A,B,A,B,c1,c4,c4,c1). [resolve(12021,a,130,a)].
% 16.65/16.94 31107 eqangle(A,B,B,A,c6,c4,c6,c4). [resolve(23832,a,128,a)].
% 16.65/16.94 33087 eqangle(A,B,C,D,E,F,E,F). [resolve(28286,a,131,a)].
% 16.65/16.94 33610 eqangle(A,B,C,D,c1,c4,c4,c1). [resolve(29991,a,132,b),unit_del(a,33087)].
% 16.65/16.94 34718 -eqangle(c6,c4,c6,c4,A,B,C,D) | eqangle(E,F,F,E,A,B,C,D). [resolve(31107,a,132,a)].
% 16.65/16.94 37478 eqangle(A,B,A,B,C,D,E,F). [resolve(33087,a,130,a)].
% 16.65/16.94 37487 eqangle(A,B,B,A,C,D,E,F). [back_unit_del(34718),unit_del(a,37478)].
% 16.65/16.94 38085 eqangle(A,B,C,D,E,F,V6,V7). [resolve(33610,a,132,a),unit_del(a,37487)].
% 16.65/16.94 38086 $F. [resolve(38085,a,221,a)].
% 16.65/16.94
% 16.65/16.94 % SZS output end Refutation
% 16.65/16.94 ============================== end of proof ==========================
% 16.65/16.94
% 16.65/16.94 ============================== STATISTICS ============================
% 16.65/16.94
% 16.65/16.94 Given=20143. Generated=207702. Kept=37954. proofs=1.
% 16.65/16.94 Usable=16940. Sos=5633. Demods=0. Limbo=0, Disabled=15567. Hints=0.
% 16.65/16.94 Megabytes=20.47.
% 16.65/16.94 User_CPU=15.77, System_CPU=0.10, Wall_clock=16.
% 16.65/16.94
% 16.65/16.94 ============================== end of statistics =====================
% 16.65/16.94
% 16.65/16.94 ============================== end of search =========================
% 16.65/16.94
% 16.65/16.94 THEOREM PROVED
% 16.65/16.94 % SZS status Theorem
% 16.65/16.94
% 16.65/16.94 Exiting with 1 proof.
% 16.65/16.94
% 16.65/16.94 Process 20378 exit (max_proofs) Fri Jun 17 23:13:18 2022
% 16.65/16.94 Prover9 interrupted
%------------------------------------------------------------------------------