TSTP Solution File: GEO563+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 05:56:58 EDT 2022
% Result : Theorem 15.03s 15.52s
% Output : Refutation 15.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n020.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 23:31:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/1.27 ============================== Prover9 ===============================
% 0.83/1.27 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.27 Process 15860 was started by sandbox2 on n020.cluster.edu,
% 0.83/1.27 Fri Jun 17 23:31:05 2022
% 0.83/1.27 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15703_n020.cluster.edu".
% 0.83/1.27 ============================== end of head ===========================
% 0.83/1.27
% 0.83/1.27 ============================== INPUT =================================
% 0.83/1.27
% 0.83/1.27 % Reading from file /tmp/Prover9_15703_n020.cluster.edu
% 0.83/1.27
% 0.83/1.27 set(prolog_style_variables).
% 0.83/1.27 set(auto2).
% 0.83/1.27 % set(auto2) -> set(auto).
% 0.83/1.27 % set(auto) -> set(auto_inference).
% 0.83/1.27 % set(auto) -> set(auto_setup).
% 0.83/1.27 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.27 % set(auto) -> set(auto_limits).
% 0.83/1.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.27 % set(auto) -> set(auto_denials).
% 0.83/1.27 % set(auto) -> set(auto_process).
% 0.83/1.27 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.27 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.27 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.27 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.27 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.27 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.27 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.27 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.27 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.27 % set(auto2) -> assign(stats, some).
% 0.83/1.27 % set(auto2) -> clear(echo_input).
% 0.83/1.27 % set(auto2) -> set(quiet).
% 0.83/1.27 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.27 % set(auto2) -> clear(print_given).
% 0.83/1.27 assign(lrs_ticks,-1).
% 0.83/1.27 assign(sos_limit,10000).
% 0.83/1.27 assign(order,kbo).
% 0.83/1.27 set(lex_order_vars).
% 0.83/1.27 clear(print_given).
% 0.83/1.27
% 0.83/1.27 % formulas(sos). % not echoed (95 formulas)
% 0.83/1.27
% 0.83/1.27 ============================== end of input ==========================
% 0.83/1.27
% 0.83/1.27 % From the command line: assign(max_seconds, 300).
% 0.83/1.27
% 0.83/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.27
% 0.83/1.27 % Formulas that are not ordinary clauses:
% 0.83/1.27 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.27 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.27 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].
% 0.83/1.27 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.27 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 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].
% 0.83/1.27 95 -(all Q all R all P all O1 all S all Y all O all X all I all NWPNT1 all NWPNT2 (circle(O1,Q,R,P) & circle(O1,Q,S,NWPNT1) & coll(Y,Q,S) & circle(O,Y,P,Q) & circle(O,Q,X,NWPNT2) & coll(I,R,S) & coll(I,Y,X) -> eqangle(R,I,I,X,R,P,P,X))) # label(exemplo6GDDFULL214024) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.27
% 0.83/1.27 ============================== end of process non-clausal formulas ===
% 0.83/1.27
% 0.83/1.27 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.27
% 0.83/1.27 ============================== PREDICATE ELIMINATION =================
% 0.83/1.27 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)].
% 0.83/1.27 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 100 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.83/1.27 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)].
% 0.83/1.27 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.83/1.27 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)].
% 0.83/1.27 103 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 104 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 105 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 106 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 107 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 108 -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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 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)].
% 0.83/1.27 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 0.83/1.27 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.83/1.27 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.83/1.27 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.83/1.27 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.83/1.27 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.83/1.27 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.83/1.27 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)].
% 0.83/1.28 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)].
% 0.83/1.28 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)].
% 0.83/1.28 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)].
% 0.83/1.28 110 circle(c4,c1,c5,c10) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 0.83/1.28 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c10,c1,c10,c5). [resolve(110,a,96,a)].
% 0.83/1.28 Derived: -eqangle(c1,A,c1,c5,c10,c1,c10,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 0.83/1.28 Derived: -midp(A,c5,c10) | eqangle(c1,c5,c1,c10,c4,c5,c4,A). [resolve(110,a,99,a)].
% 0.83/1.28 Derived: -coll(A,c5,c10) | -eqangle(c1,c5,c1,c10,c4,c5,c4,A) | midp(A,c5,c10). [resolve(110,a,100,a)].
% 0.83/1.28 Derived: -coll(c4,c1,c10) | perp(c1,c5,c5,c10). [resolve(110,a,101,a)].
% 0.83/1.28 Derived: perp(f12(c1,c5,c10,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 0.83/1.28 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c10,A,c4,B),c1,c10). [resolve(110,a,103,a)].
% 0.83/1.28 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c10,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 0.83/1.28 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c10,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 0.83/1.28 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c10,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 0.83/1.28 111 circle(c7,c6,c3,c1) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 0.83/1.28 Derived: -perp(c7,c6,c6,A) | eqangle(c6,A,c6,c3,c1,c6,c1,c3). [resolve(111,a,96,a)].
% 0.83/1.28 Derived: -eqangle(c6,A,c6,c3,c1,c6,c1,c3) | perp(c7,c6,c6,A). [resolve(111,a,98,a)].
% 0.83/1.28 Derived: -midp(A,c3,c1) | eqangle(c6,c3,c6,c1,c7,c3,c7,A). [resolve(111,a,99,a)].
% 0.83/1.28 Derived: -coll(A,c3,c1) | -eqangle(c6,c3,c6,c1,c7,c3,c7,A) | midp(A,c3,c1). [resolve(111,a,100,a)].
% 0.83/1.28 Derived: -coll(c7,c6,c1) | perp(c6,c3,c3,c1). [resolve(111,a,101,a)].
% 0.83/1.28 Derived: perp(f12(c6,c3,c1,c7),c6,c6,c7). [resolve(111,a,102,a)].
% 0.83/1.28 Derived: -cong(c7,c6,c7,A) | -cong(B,c6,B,c3) | B = c7 | coll(f13(c6,c3,c1,A,c7,B),c6,c1). [resolve(111,a,103,a)].
% 0.83/1.28 Derived: -cong(c7,c6,c7,A) | -cong(B,c6,B,c3) | B = c7 | cong(f13(c6,c3,c1,A,c7,B),B,B,c6). [resolve(111,a,104,a)].
% 0.83/1.28 Derived: -cong(c7,c6,c7,A) | -cong(B,c6,B,c3) | B = c7 | coll(f14(c6,c3,c1,A,c7,B),c3,A). [resolve(111,a,105,a)].
% 0.83/1.28 Derived: -cong(c7,c6,c7,A) | -cong(B,c6,B,c3) | B = c7 | cong(f14(c6,c3,c1,A,c7,B),B,B,c6). [resolve(111,a,106,a)].
% 0.83/1.28 112 circle(c7,c1,c8,c11) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 0.83/1.28 Derived: -perp(c7,c1,c1,A) | eqangle(c1,A,c1,c8,c11,c1,c11,c8). [resolve(112,a,96,a)].
% 0.83/1.28 Derived: -eqangle(c1,A,c1,c8,c11,c1,c11,c8) | perp(c7,c1,c1,A). [resolve(112,a,98,a)].
% 0.83/1.28 Derived: -midp(A,c8,c11) | eqangle(c1,c8,c1,c11,c7,c8,c7,A). [resolve(112,a,99,a)].
% 0.83/1.28 Derived: -coll(A,c8,c11) | -eqangle(c1,c8,c1,c11,c7,c8,c7,A) | midp(A,c8,c11). [resolve(112,a,100,a)].
% 0.83/1.28 Derived: -coll(c7,c1,c11) | perp(c1,c8,c8,c11). [resolve(112,a,101,a)].
% 0.83/1.28 Derived: perp(f12(c1,c8,c11,c7),c1,c1,c7). [resolve(112,a,102,a)].
% 0.83/1.28 Derived: -cong(c7,c1,c7,A) | -cong(B,c1,B,c8) | B = c7 | coll(f13(c1,c8,c11,A,c7,B),c1,c11). [resolve(112,a,103,a)].
% 0.83/1.28 Derived: -cong(c7,c1,c7,A) | -cong(B,c1,B,c8) | B = c7 | cong(f13(c1,c8,c11,A,c7,B),B,B,c1). [resolve(112,a,104,a)].
% 0.83/1.28 Derived: -cong(c7,c1,c7,A) | -cong(B,c1,B,c8) | B = c7 | coll(f14(c1,c8,c11,A,c7,B),c8,A). [resolve(112,a,105,a)].
% 0.83/1.28 Derived: -cong(c7,c1,c7,A) | -cong(B,c1,B,c8) | B = c7 | cong(f14(c1,c8,c11,A,c7,B),B,B,c1). [resolve(112,a,106,a)].
% 0.83/1.28
% 0.83/1.28 ============================== end predicate elimination =============
% 0.83/1.28
% 0.83/1.28 Auto_denials: (non-Horn, no changes).
% 0.83/1.28
% 0.83/1.28 Term ordering decisions:
% 0.83/1.28 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. 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.
% 0.83/1.28
% 0.83/1.28 ============================== end of process initial clauses ========
% 0.83/1.28
% 0.83/1.28 ============================== CLAUSES FOR SEARCH ====================
% 15.03/15.52
% 15.03/15.52 ============================== end of clauses for search =============
% 15.03/15.52
% 15.03/15.52 ============================== SEARCH ================================
% 15.03/15.52
% 15.03/15.52 % Starting search at 0.03 seconds.
% 15.03/15.52
% 15.03/15.52 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.07 sec).
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=57.000, iters=3370
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=49.000, iters=3358
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=48.000, iters=3484
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=44.000, iters=3343
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=42.000, iters=3426
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=41.000, iters=3392
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=37.000, iters=3338
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=31.000, iters=3345
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=26.000, iters=3336
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=25.000, iters=3496
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=21.000, iters=3405
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=18.000, iters=3346
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=17.000, iters=3333
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=16.000, iters=3348
% 15.03/15.52
% 15.03/15.52 Low Water (displace): id=8847, wt=57.000
% 15.03/15.52
% 15.03/15.52 Low Water (displace): id=16121, wt=12.000
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=13.000, iters=3348
% 15.03/15.52
% 15.03/15.52 Low Water (displace): id=16791, wt=8.000
% 15.03/15.52
% 15.03/15.52 Low Water (keep): wt=12.000, iters=3338
% 15.03/15.52
% 15.03/15.52 ============================== PROOF =================================
% 15.03/15.52 % SZS status Theorem
% 15.03/15.52 % SZS output start Refutation
% 15.03/15.52
% 15.03/15.52 % Proof 1 at 14.17 (+ 0.09) seconds.
% 15.03/15.52 % Length of proof is 201.
% 15.03/15.52 % Level of proof is 37.
% 15.03/15.52 % Maximum clause weight is 29.000.
% 15.03/15.52 % Given clauses 14460.
% 15.03/15.52
% 15.03/15.52 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 15.03/15.52 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 15.03/15.52 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 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].
% 15.03/15.52 95 -(all Q all R all P all O1 all S all Y all O all X all I all NWPNT1 all NWPNT2 (circle(O1,Q,R,P) & circle(O1,Q,S,NWPNT1) & coll(Y,Q,S) & circle(O,Y,P,Q) & circle(O,Q,X,NWPNT2) & coll(I,R,S) & coll(I,Y,X) -> eqangle(R,I,I,X,R,P,P,X))) # label(exemplo6GDDFULL214024) # label(negated_conjecture) # label(non_clause). [assumption].
% 15.03/15.52 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)].
% 15.03/15.52 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 15.03/15.52 100 -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)].
% 15.03/15.52 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 15.03/15.52 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 15.03/15.52 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 15.03/15.52 111 circle(c7,c6,c3,c1) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 15.03/15.52 113 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 15.03/15.52 114 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 15.03/15.52 115 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 15.03/15.52 116 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 15.03/15.52 117 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 15.03/15.52 119 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 15.03/15.52 120 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 15.03/15.52 121 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 15.03/15.52 122 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 15.03/15.52 125 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 15.03/15.52 126 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 15.03/15.52 127 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 15.03/15.52 128 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 15.03/15.52 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 15.03/15.52 131 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 15.03/15.52 132 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 15.03/15.52 133 -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)].
% 15.03/15.52 134 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 15.03/15.52 150 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 15.03/15.52 151 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 15.03/15.52 154 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 15.03/15.52 155 -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)].
% 15.03/15.52 163 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 15.03/15.52 164 -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)].
% 15.03/15.52 171 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 15.03/15.52 172 -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)].
% 15.03/15.52 173 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 15.03/15.52 175 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 15.03/15.52 181 -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)].
% 15.03/15.52 201 -perp(A,B,C,D) | -perp(C,B,A,D) | coll(f10(A,C,D,B),D,C) # label(ruleX10) # label(axiom). [clausify(86)].
% 15.03/15.52 212 coll(c6,c1,c5) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 15.03/15.52 213 coll(c9,c2,c5) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 15.03/15.52 214 coll(c9,c6,c8) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 15.03/15.52 215 -eqangle(c2,c9,c9,c8,c2,c3,c3,c8) # label(exemplo6GDDFULL214024) # label(negated_conjecture). [clausify(95)].
% 15.03/15.52 219 -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)].
% 15.03/15.52 259 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 15.03/15.52 282 -perp(c7,c6,c6,A) | eqangle(c6,A,c6,c3,c1,c6,c1,c3). [resolve(111,a,96,a)].
% 15.03/15.52 286 -coll(c7,c6,c1) | perp(c6,c3,c3,c1). [resolve(111,a,101,a)].
% 15.03/15.52 287 perp(f12(c6,c3,c1,c7),c6,c6,c7). [resolve(111,a,102,a)].
% 15.03/15.52 310 -coll(A,B,C) | coll(C,C,A). [factor(115,a,b)].
% 15.03/15.52 315 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(128,a,b)].
% 15.03/15.52 316 -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(155,a,b)].
% 15.03/15.52 318 -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(155,b,c)].
% 15.03/15.52 324 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(171,b,c)].
% 15.03/15.52 348 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(219,d,e)].
% 15.03/15.52 375 coll(c1,c6,c5). [resolve(212,a,114,a)].
% 15.03/15.52 376 coll(c6,c5,c1). [resolve(212,a,113,a)].
% 15.03/15.52 384 coll(c9,c8,c6). [resolve(214,a,113,a)].
% 15.03/15.52 405 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(259,a,121,b)].
% 15.03/15.52 407 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(259,a,120,a)].
% 15.03/15.52 455 -perp(A,B,f12(c6,c3,c1,c7),c6) | para(A,B,c6,c7). [resolve(287,a,121,b)].
% 15.03/15.52 457 perp(c6,c7,f12(c6,c3,c1,c7),c6). [resolve(287,a,120,a)].
% 15.03/15.52 486 coll(c5,c5,c9). [resolve(310,a,213,a)].
% 15.03/15.52 488 coll(c5,c5,c1). [resolve(375,a,310,a)].
% 15.03/15.52 491 coll(c1,c5,c6). [resolve(375,a,113,a)].
% 15.03/15.52 492 coll(c1,c1,c6). [resolve(376,a,310,a)].
% 15.03/15.52 508 coll(c6,c6,c9). [resolve(384,a,310,a)].
% 15.03/15.52 516 coll(c9,c9,c5). [resolve(486,a,310,a)].
% 15.03/15.52 526 -coll(c5,c5,A) | coll(c1,A,c5). [resolve(488,a,115,a)].
% 15.03/15.52 529 -coll(c1,c5,A) | coll(A,c6,c1). [resolve(491,a,115,b)].
% 15.03/15.52 534 coll(c1,c6,c1). [resolve(492,a,113,a)].
% 15.03/15.52 558 -coll(c6,c6,A) | coll(A,c9,c6). [resolve(508,a,115,b)].
% 15.03/15.52 570 -coll(c9,c9,A) | coll(A,c5,c9). [resolve(516,a,115,b)].
% 15.03/15.52 594 coll(c1,c1,c1). [resolve(534,a,310,a)].
% 15.03/15.52 781 para(c1,c4,c1,c4). [resolve(407,a,405,a)].
% 15.03/15.52 1180 coll(c1,c4,c4). [resolve(781,a,173,a)].
% 15.03/15.52 1183 eqangle(c1,c4,A,B,c1,c4,A,B). [resolve(781,a,151,a)].
% 15.03/15.52 1184 para(c1,c4,c4,c1). [resolve(781,a,116,a)].
% 15.03/15.52 1185 coll(c4,c4,c1). [resolve(1180,a,310,a)].
% 15.03/15.52 1188 coll(c4,c1,c4). [resolve(1180,a,114,a)].
% 15.03/15.52 1195 coll(c1,c1,c4). [resolve(1185,a,310,a)].
% 15.03/15.52 1237 para(c4,c1,c1,c4). [resolve(1184,a,117,a)].
% 15.03/15.52 1248 -coll(A,c4,c1) | -coll(A,c1,c4) | eqratio(A,c4,c4,c1,A,c1,c1,c4). [resolve(1237,a,172,a)].
% 15.03/15.52 1253 para(c4,c1,c4,c1). [resolve(1237,a,116,a)].
% 15.03/15.52 1265 eqangle(c4,c1,A,B,c4,c1,A,B). [resolve(1253,a,151,a)].
% 15.03/15.52 1543 para(c6,c7,c6,c7). [resolve(457,a,455,a)].
% 15.03/15.52 1567 coll(c6,c7,c7). [resolve(1543,a,173,a)].
% 15.03/15.52 1572 coll(c7,c7,c6). [resolve(1567,a,310,a)].
% 15.03/15.52 1580 coll(c6,c6,c7). [resolve(1572,a,310,a)].
% 15.03/15.52 1667 coll(c7,c9,c6). [resolve(558,a,1580,a)].
% 15.03/15.52 1674 coll(c7,c6,c9). [resolve(1667,a,113,a)].
% 15.03/15.52 1688 coll(c9,c9,c7). [resolve(1674,a,310,a)].
% 15.03/15.52 1921 coll(c7,c5,c9). [resolve(570,a,1688,a)].
% 15.03/15.52 1929 coll(c7,c9,c5). [resolve(1921,a,113,a)].
% 15.03/15.52 1937 coll(c5,c5,c7). [resolve(1929,a,310,a)].
% 15.03/15.52 1947 coll(c1,c7,c5). [resolve(1937,a,526,a)].
% 15.03/15.52 1979 coll(c1,c5,c7). [resolve(1947,a,113,a)].
% 15.03/15.52 2031 coll(c7,c6,c1). [resolve(1979,a,529,a)].
% 15.03/15.52 2036 perp(c6,c3,c3,c1). [back_unit_del(286),unit_del(a,2031)].
% 15.03/15.52 2227 -perp(A,B,c6,c3) | para(A,B,c3,c1). [resolve(2036,a,121,b)].
% 15.03/15.52 2228 -perp(c3,c1,A,B) | para(c6,c3,A,B). [resolve(2036,a,121,a)].
% 15.03/15.52 2229 perp(c3,c1,c6,c3). [resolve(2036,a,120,a)].
% 15.03/15.52 2230 perp(c6,c3,c1,c3). [resolve(2036,a,119,a)].
% 15.03/15.52 2257 perp(c3,c1,c3,c6). [resolve(2229,a,119,a)].
% 15.03/15.52 2265 -perp(c1,c3,c6,c3) | coll(f10(c6,c1,c3,c3),c3,c1). [resolve(2230,a,201,a)].
% 15.03/15.52 2271 perp(c1,c3,c6,c3). [resolve(2230,a,120,a)].
% 15.03/15.52 2272 coll(f10(c6,c1,c3,c3),c3,c1). [back_unit_del(2265),unit_del(a,2271)].
% 15.03/15.52 3248 -cyclic(c4,c1,c1,c4) | -cyclic(c4,c1,c1,c1) | cong(c4,c1,c4,c1). [resolve(1183,a,318,c)].
% 15.03/15.52 3258 -coll(c1,c1,A) | cyclic(c4,A,c1,c1). [resolve(1183,a,154,a)].
% 15.03/15.52 3260 eqangle(A,B,c1,c4,A,B,c1,c4). [resolve(1183,a,130,a)].
% 15.03/15.52 3618 eqratio(c4,c4,c4,c1,c4,c1,c1,c4). [resolve(1248,a,1185,a),unit_del(a,1188)].
% 15.03/15.52 3676 midp(c1,c1,c1) | -cong(c4,c4,c4,c1). [resolve(1265,a,348,b),unit_del(a,594)].
% 15.03/15.52 3678 -cyclic(c1,c1,c4,c1) | -cyclic(c1,c1,c4,c4) | cong(c1,c1,c1,c1). [resolve(1265,a,316,c)].
% 15.03/15.52 3687 -coll(c4,c4,A) | cyclic(c1,A,c4,c4). [resolve(1265,a,154,a)].
% 15.03/15.52 3778 coll(c3,f10(c6,c1,c3,c3),c1). [resolve(2272,a,114,a)].
% 15.03/15.52 4477 coll(c1,c1,c3). [resolve(3778,a,310,a)].
% 15.03/15.52 12220 para(c1,c3,c3,c1). [resolve(2227,a,2271,a)].
% 15.03/15.52 12232 para(c1,c3,c1,c3). [resolve(12220,a,116,a)].
% 15.03/15.52 12250 -midp(A,c1,c1) | midp(A,c3,c3). [resolve(12232,a,324,b)].
% 15.03/15.52 12254 para(c6,c3,c3,c6). [resolve(2228,a,2257,a)].
% 15.03/15.52 12265 para(c3,c6,c6,c3). [resolve(12254,a,117,a)].
% 15.03/15.52 12281 para(c3,c6,c3,c6). [resolve(12265,a,116,a)].
% 15.03/15.52 12284 -midp(A,c3,c3) | midp(A,c6,c6). [resolve(12281,a,324,b)].
% 15.03/15.52 19270 cyclic(c4,c3,c1,c1). [resolve(3258,a,4477,a)].
% 15.03/15.52 19276 cyclic(c4,c4,c1,c1). [resolve(3258,a,1195,a)].
% 15.03/15.52 19280 cyclic(c4,c1,c1,c1). [resolve(3258,a,594,a)].
% 15.03/15.52 19284 -cyclic(c4,c1,c1,c4) | cong(c4,c1,c4,c1). [back_unit_del(3248),unit_del(b,19280)].
% 15.03/15.52 19286 cyclic(c3,c1,c1,c1). [resolve(19270,a,315,a)].
% 15.03/15.52 19301 cyclic(c4,c1,c4,c1). [resolve(19276,a,126,a)].
% 15.03/15.52 19330 cyclic(c1,c4,c1,c1). [resolve(19280,a,127,a)].
% 15.03/15.52 19341 para(A,B,A,B). [resolve(3260,a,150,a)].
% 15.03/15.52 19351 cyclic(c1,c3,c1,c1). [resolve(19286,a,127,a)].
% 15.03/15.52 19378 cyclic(c4,c1,c1,c4). [resolve(19301,a,125,a)].
% 15.03/15.52 19380 cong(c4,c1,c4,c1). [back_unit_del(19284),unit_del(a,19378)].
% 15.03/15.52 19428 cyclic(c1,c1,c4,c1). [resolve(19330,a,126,a)].
% 15.03/15.52 19429 -cyclic(c1,c1,c4,c4) | cong(c1,c1,c1,c1). [back_unit_del(3678),unit_del(a,19428)].
% 15.03/15.52 19449 -midp(A,B,B) | midp(A,C,C). [resolve(19341,a,324,b)].
% 15.03/15.52 19450 coll(A,B,B). [resolve(19341,a,173,a)].
% 15.03/15.52 19536 coll(A,A,B). [resolve(19450,a,310,a)].
% 15.03/15.52 19823 cyclic(c1,A,c4,c4). [back_unit_del(3687),unit_del(a,19536)].
% 15.03/15.52 19961 cong(c1,c1,c1,c1). [back_unit_del(19429),unit_del(a,19823)].
% 15.03/15.52 20262 cyclic(c1,c1,c3,c1). [resolve(19351,a,126,a)].
% 15.03/15.52 20459 cong(c4,c1,c1,c4). [resolve(19380,a,134,a)].
% 15.03/15.52 21001 -cong(c1,c3,c1,c3) | perp(c3,c1,c1,c1). [resolve(20262,a,164,c),unit_del(b,19961)].
% 15.03/15.52 24128 cong(c4,c4,c4,c1). [resolve(3618,a,181,a),unit_del(a,20459)].
% 15.03/15.52 24129 midp(c1,c1,c1). [back_unit_del(3676),unit_del(b,24128)].
% 15.03/15.52 24130 midp(c1,c3,c3). [resolve(24129,a,12250,a)].
% 15.03/15.52 24147 midp(c1,c6,c6). [resolve(24130,a,12284,a)].
% 15.03/15.52 24159 cong(c1,c3,c1,c3). [resolve(24130,a,175,a)].
% 15.03/15.52 24169 perp(c3,c1,c1,c1). [back_unit_del(21001),unit_del(a,24159)].
% 15.03/15.52 24485 para(c6,c3,c1,c1). [resolve(24169,a,2228,a)].
% 15.03/15.52 24767 -perp(c1,c1,A,B) | perp(c6,c3,A,B). [resolve(24485,a,122,a)].
% 15.03/15.52 25064 midp(c1,A,A). [resolve(19449,a,24147,a)].
% 15.03/15.52 25077 cong(c1,A,c1,A). [resolve(25064,a,175,a)].
% 15.03/15.52 25226 perp(c1,c1,A,B). [resolve(25077,a,163,b),unit_del(a,25077)].
% 15.03/15.52 25235 perp(c6,c3,A,B). [back_unit_del(24767),unit_del(a,25226)].
% 15.03/15.52 25641 -perp(A,B,c1,c1) | para(A,B,C,D). [resolve(25226,a,121,b)].
% 15.03/15.52 25642 perp(A,B,c1,c1). [resolve(25226,a,120,a)].
% 15.03/15.52 25643 para(A,B,C,D). [back_unit_del(25641),unit_del(a,25642)].
% 15.03/15.52 25658 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(151),unit_del(a,25643)].
% 15.03/15.52 25716 perp(A,B,c6,c3). [resolve(25235,a,120,a)].
% 15.03/15.52 25987 eqangle(c6,c3,c6,c3,c1,c6,c1,c3). [resolve(25716,a,282,a)].
% 15.03/15.52 30793 eqangle(A,B,C,D,E,F,E,F). [resolve(25658,a,132,a)].
% 15.03/15.52 30811 eqangle(A,B,C,D,c1,c6,c1,c3). [resolve(25987,a,133,b),unit_del(a,30793)].
% 15.03/15.52 34057 -eqangle(c1,c6,c1,c3,A,B,C,D) | eqangle(E,F,V6,V7,A,B,C,D). [resolve(30811,a,133,a)].
% 15.03/15.52 34059 eqangle(c1,c6,c1,c3,A,B,C,D). [resolve(30811,a,131,a)].
% 15.03/15.52 34060 eqangle(A,B,C,D,E,F,V6,V7). [back_unit_del(34057),unit_del(a,34059)].
% 15.03/15.52 34061 $F. [resolve(34060,a,215,a)].
% 15.03/15.52
% 15.03/15.52 % SZS output end Refutation
% 15.03/15.52 ============================== end of proof ==========================
% 15.03/15.52
% 15.03/15.52 ============================== STATISTICS ============================
% 15.03/15.52
% 15.03/15.52 Given=14460. Generated=143357. Kept=33924. proofs=1.
% 15.03/15.52 Usable=11757. Sos=5460. Demods=0. Limbo=1, Disabled=16896. Hints=0.
% 15.03/15.52 Megabytes=20.79.
% 15.03/15.52 User_CPU=14.18, System_CPU=0.09, Wall_clock=14.
% 15.03/15.52
% 15.03/15.52 ============================== end of statistics =====================
% 15.03/15.52
% 15.03/15.52 ============================== end of search =========================
% 15.03/15.52
% 15.03/15.52 THEOREM PROVED
% 15.03/15.52 % SZS status Theorem
% 15.03/15.52
% 15.03/15.52 Exiting with 1 proof.
% 15.03/15.52
% 15.03/15.52 Process 15860 exit (max_proofs) Fri Jun 17 23:31:19 2022
% 15.03/15.52 Prover9 interrupted
%------------------------------------------------------------------------------