TSTP Solution File: GEO626+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:57:18 EDT 2022
% Result : Theorem 6.45s 6.75s
% Output : Refutation 6.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 10:05:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.12 ============================== Prover9 ===============================
% 0.45/1.12 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.12 Process 14104 was started by sandbox on n025.cluster.edu,
% 0.45/1.12 Sat Jun 18 10:05:43 2022
% 0.45/1.12 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13951_n025.cluster.edu".
% 0.45/1.12 ============================== end of head ===========================
% 0.45/1.12
% 0.45/1.12 ============================== INPUT =================================
% 0.45/1.12
% 0.45/1.12 % Reading from file /tmp/Prover9_13951_n025.cluster.edu
% 0.45/1.12
% 0.45/1.12 set(prolog_style_variables).
% 0.45/1.12 set(auto2).
% 0.45/1.12 % set(auto2) -> set(auto).
% 0.45/1.12 % set(auto) -> set(auto_inference).
% 0.45/1.12 % set(auto) -> set(auto_setup).
% 0.45/1.12 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.12 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.12 % set(auto) -> set(auto_limits).
% 0.45/1.12 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.12 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.12 % set(auto) -> set(auto_denials).
% 0.45/1.12 % set(auto) -> set(auto_process).
% 0.45/1.12 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.12 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.12 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.12 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.12 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.12 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.12 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.12 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.12 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.12 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.12 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.12 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.12 % set(auto2) -> assign(stats, some).
% 0.45/1.12 % set(auto2) -> clear(echo_input).
% 0.45/1.12 % set(auto2) -> set(quiet).
% 0.45/1.12 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.12 % set(auto2) -> clear(print_given).
% 0.45/1.12 assign(lrs_ticks,-1).
% 0.45/1.12 assign(sos_limit,10000).
% 0.45/1.12 assign(order,kbo).
% 0.45/1.12 set(lex_order_vars).
% 0.45/1.12 clear(print_given).
% 0.45/1.12
% 0.45/1.12 % formulas(sos). % not echoed (95 formulas)
% 0.45/1.12
% 0.45/1.12 ============================== end of input ==========================
% 0.45/1.12
% 0.45/1.12 % From the command line: assign(max_seconds, 300).
% 0.45/1.12
% 0.45/1.12 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.12
% 0.45/1.12 % Formulas that are not ordinary clauses:
% 0.45/1.12 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.12 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.12 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].
% 0.45/1.12 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.12 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 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].
% 0.45/1.12 95 -(all A all B all C all O all D all G all F all C1 all B1 all NWPNT1 all NWPNT2 all NWPNT3 (circle(O,A,B,C) & circle(O,A,D,NWPNT1) & perp(G,D,A,B) & coll(G,A,B) & perp(F,D,A,C) & coll(F,A,C) & circle(O,D,C1,NWPNT2) & coll(C1,D,G) & circle(O,D,B1,NWPNT3) & coll(B1,D,F) -> para(C1,C,B1,B))) # label(exemplo6GDDFULL8110990) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.45/1.12
% 0.45/1.12 ============================== end of process non-clausal formulas ===
% 0.45/1.12
% 0.45/1.12 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.12
% 0.45/1.12 ============================== PREDICATE ELIMINATION =================
% 0.45/1.12 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)].
% 0.45/1.12 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 100 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.45/1.12 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)].
% 0.45/1.12 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.45/1.12 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)].
% 0.45/1.12 103 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 104 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 105 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 106 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 107 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 108 -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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 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)].
% 0.45/1.12 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 0.45/1.12 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.45/1.12 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.45/1.12 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.45/1.12 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.45/1.12 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.45/1.12 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.45/1.15 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)].
% 0.45/1.15 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)].
% 0.45/1.15 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)].
% 0.45/1.15 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)].
% 0.45/1.15 110 circle(c4,c1,c5,c10) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 0.45/1.15 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c10,c1,c10,c5). [resolve(110,a,96,a)].
% 0.45/1.15 Derived: -eqangle(c1,A,c1,c5,c10,c1,c10,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 0.45/1.15 Derived: -midp(A,c5,c10) | eqangle(c1,c5,c1,c10,c4,c5,c4,A). [resolve(110,a,99,a)].
% 0.45/1.15 Derived: -coll(A,c5,c10) | -eqangle(c1,c5,c1,c10,c4,c5,c4,A) | midp(A,c5,c10). [resolve(110,a,100,a)].
% 0.45/1.15 Derived: -coll(c4,c1,c10) | perp(c1,c5,c5,c10). [resolve(110,a,101,a)].
% 0.45/1.15 Derived: perp(f12(c1,c5,c10,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 0.45/1.15 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)].
% 0.45/1.15 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)].
% 0.45/1.15 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)].
% 0.45/1.15 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)].
% 0.45/1.15 111 circle(c4,c5,c8,c11) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 0.45/1.15 Derived: -perp(c4,c5,c5,A) | eqangle(c5,A,c5,c8,c11,c5,c11,c8). [resolve(111,a,96,a)].
% 0.45/1.15 Derived: -eqangle(c5,A,c5,c8,c11,c5,c11,c8) | perp(c4,c5,c5,A). [resolve(111,a,98,a)].
% 0.45/1.15 Derived: -midp(A,c8,c11) | eqangle(c5,c8,c5,c11,c4,c8,c4,A). [resolve(111,a,99,a)].
% 0.45/1.15 Derived: -coll(A,c8,c11) | -eqangle(c5,c8,c5,c11,c4,c8,c4,A) | midp(A,c8,c11). [resolve(111,a,100,a)].
% 0.45/1.15 Derived: -coll(c4,c5,c11) | perp(c5,c8,c8,c11). [resolve(111,a,101,a)].
% 0.45/1.15 Derived: perp(f12(c5,c8,c11,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | coll(f13(c5,c8,c11,A,c4,B),c5,c11). [resolve(111,a,103,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | cong(f13(c5,c8,c11,A,c4,B),B,B,c5). [resolve(111,a,104,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | coll(f14(c5,c8,c11,A,c4,B),c8,A). [resolve(111,a,105,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | cong(f14(c5,c8,c11,A,c4,B),B,B,c5). [resolve(111,a,106,a)].
% 0.45/1.15 112 circle(c4,c5,c9,c12) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 0.45/1.15 Derived: -perp(c4,c5,c5,A) | eqangle(c5,A,c5,c9,c12,c5,c12,c9). [resolve(112,a,96,a)].
% 0.45/1.15 Derived: -eqangle(c5,A,c5,c9,c12,c5,c12,c9) | perp(c4,c5,c5,A). [resolve(112,a,98,a)].
% 0.45/1.15 Derived: -midp(A,c9,c12) | eqangle(c5,c9,c5,c12,c4,c9,c4,A). [resolve(112,a,99,a)].
% 0.45/1.15 Derived: -coll(A,c9,c12) | -eqangle(c5,c9,c5,c12,c4,c9,c4,A) | midp(A,c9,c12). [resolve(112,a,100,a)].
% 0.45/1.15 Derived: -coll(c4,c5,c12) | perp(c5,c9,c9,c12). [resolve(112,a,101,a)].
% 0.45/1.15 Derived: perp(f12(c5,c9,c12,c4),c5,c5,c4). [resolve(112,a,102,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c9) | B = c4 | coll(f13(c5,c9,c12,A,c4,B),c5,c12). [resolve(112,a,103,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c9) | B = c4 | cong(f13(c5,c9,c12,A,c4,B),B,B,c5). [resolve(112,a,104,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c9) | B = c4 | coll(f14(c5,c9,c12,A,c4,B),c9,A). [resolve(112,a,105,a)].
% 0.45/1.15 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c9) | B = c4 | cong(f14(c5,c9,c12,A,c4,B),B,B,c5). [resolve(112,a,106,a)].
% 0.45/1.15
% 0.45/1.15 ============================== end predicate elimination =============
% 0.45/1.15
% 0.45/1.15 Auto_denials: (non-Horn, no changes).
% 0.45/1.15
% 0.45/1.15 Term ordering decisions:
% 0.45/1.15 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.
% 6.45/6.75
% 6.45/6.75 ============================== end of process initial clauses ========
% 6.45/6.75
% 6.45/6.75 ============================== CLAUSES FOR SEARCH ====================
% 6.45/6.75
% 6.45/6.75 ============================== end of clauses for search =============
% 6.45/6.75
% 6.45/6.75 ============================== SEARCH ================================
% 6.45/6.75
% 6.45/6.75 % Starting search at 0.05 seconds.
% 6.45/6.75
% 6.45/6.75 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.15 sec).
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=59.000, iters=3336
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=49.000, iters=3351
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=48.000, iters=3346
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=44.000, iters=3348
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=39.000, iters=3338
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=37.000, iters=3341
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=26.000, iters=3338
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=23.000, iters=3333
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=22.000, iters=3344
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=21.000, iters=3359
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=18.000, iters=3333
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=17.000, iters=3337
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=16.000, iters=3335
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=14.000, iters=3348
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=13.000, iters=3363
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9042, wt=57.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9039, wt=49.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9196, wt=48.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9161, wt=46.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9084, wt=45.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9230, wt=44.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=7143, wt=42.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=7144, wt=41.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9083, wt=40.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9273, wt=39.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9324, wt=37.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9147, wt=36.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=7577, wt=34.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=7147, wt=33.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9168, wt=32.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9309, wt=31.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9166, wt=28.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9169, wt=27.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9412, wt=26.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9773, wt=25.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=9735, wt=24.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=17664, wt=9.000
% 6.45/6.75
% 6.45/6.75 Low Water (displace): id=17689, wt=5.000
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=12.000, iters=3783
% 6.45/6.75
% 6.45/6.75 Low Water (keep): wt=10.000, iters=3335
% 6.45/6.75
% 6.45/6.75 ============================== PROOF =================================
% 6.45/6.75 % SZS status Theorem
% 6.45/6.75 % SZS output start Refutation
% 6.45/6.75
% 6.45/6.75 % Proof 1 at 5.58 (+ 0.07) seconds.
% 6.45/6.75 % Length of proof is 252.
% 6.45/6.75 % Level of proof is 34.
% 6.45/6.75 % Maximum clause weight is 29.000.
% 6.45/6.75 % Given clauses 9966.
% 6.45/6.75
% 6.45/6.75 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 6.45/6.75 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 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].
% 6.45/6.75 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 6.45/6.75 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].
% 6.45/6.75 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 6.45/6.75 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].
% 6.45/6.75 95 -(all A all B all C all O all D all G all F all C1 all B1 all NWPNT1 all NWPNT2 all NWPNT3 (circle(O,A,B,C) & circle(O,A,D,NWPNT1) & perp(G,D,A,B) & coll(G,A,B) & perp(F,D,A,C) & coll(F,A,C) & circle(O,D,C1,NWPNT2) & coll(C1,D,G) & circle(O,D,B1,NWPNT3) & coll(B1,D,F) -> para(C1,C,B1,B))) # label(exemplo6GDDFULL8110990) # label(negated_conjecture) # label(non_clause). [assumption].
% 6.45/6.75 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 6.45/6.75 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 6.45/6.75 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 6.45/6.75 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 111 circle(c4,c5,c8,c11) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 113 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 6.45/6.75 114 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 6.45/6.75 115 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 6.45/6.75 116 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 6.45/6.75 117 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 6.45/6.75 118 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 6.45/6.75 119 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 6.45/6.75 120 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 6.45/6.75 121 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 6.45/6.75 123 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 6.45/6.75 125 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 6.45/6.75 126 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 6.45/6.75 127 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 6.45/6.75 128 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 6.45/6.75 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 6.45/6.75 132 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 6.45/6.75 134 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 6.45/6.75 135 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 6.45/6.75 150 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 6.45/6.75 151 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 6.45/6.75 154 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 6.45/6.75 155 -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)].
% 6.45/6.75 157 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 6.45/6.75 162 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 6.45/6.75 163 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 6.45/6.75 164 -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)].
% 6.45/6.75 171 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 6.45/6.75 173 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 6.45/6.75 174 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 6.45/6.75 175 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 6.45/6.75 212 perp(c6,c5,c1,c2) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 213 coll(c6,c1,c2) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 214 perp(c7,c5,c1,c3) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 215 coll(c7,c1,c3) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 216 coll(c8,c5,c6) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 218 -para(c8,c3,c9,c2) # label(exemplo6GDDFULL8110990) # label(negated_conjecture). [clausify(95)].
% 6.45/6.75 223 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 6.45/6.75 261 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 6.45/6.75 262 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 6.45/6.75 290 perp(f12(c5,c8,c11,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 6.45/6.75 313 -coll(A,B,C) | coll(C,C,A). [factor(115,a,b)].
% 6.45/6.75 318 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(128,a,b)].
% 6.45/6.75 319 -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)].
% 6.45/6.75 323 -cong(A,B,C,B) | perp(A,C,B,B). [factor(163,a,b)].
% 6.45/6.75 327 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(171,b,c)].
% 6.45/6.75 352 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(223,c,d)].
% 6.45/6.75 387 -perp(A,B,c6,c5) | para(A,B,c1,c2). [resolve(212,a,121,b)].
% 6.45/6.75 388 -perp(c1,c2,A,B) | para(c6,c5,A,B). [resolve(212,a,121,a)].
% 6.45/6.75 389 perp(c1,c2,c6,c5). [resolve(212,a,120,a)].
% 6.45/6.75 390 perp(c6,c5,c2,c1). [resolve(212,a,119,a)].
% 6.45/6.75 392 -coll(c6,c1,A) | coll(c2,A,c6). [resolve(213,a,115,a)].
% 6.45/6.75 393 coll(c1,c6,c2). [resolve(213,a,114,a)].
% 6.45/6.75 394 coll(c6,c2,c1). [resolve(213,a,113,a)].
% 6.45/6.75 406 -perp(A,B,c7,c5) | para(A,B,c1,c3). [resolve(214,a,121,b)].
% 6.45/6.75 408 perp(c1,c3,c7,c5). [resolve(214,a,120,a)].
% 6.45/6.75 411 -coll(c7,c1,A) | coll(c3,A,c7). [resolve(215,a,115,a)].
% 6.45/6.75 412 coll(c1,c7,c3). [resolve(215,a,114,a)].
% 6.45/6.75 413 coll(c7,c3,c1). [resolve(215,a,113,a)].
% 6.45/6.75 416 coll(c5,c8,c6). [resolve(216,a,114,a)].
% 6.45/6.75 442 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(262,a,121,b)].
% 6.45/6.75 444 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(262,a,120,a)].
% 6.45/6.75 492 -perp(A,B,f12(c5,c8,c11,c4),c5) | para(A,B,c5,c4). [resolve(290,a,121,b)].
% 6.45/6.75 494 perp(c5,c4,f12(c5,c8,c11,c4),c5). [resolve(290,a,120,a)].
% 6.45/6.75 523 coll(c6,c6,c8). [resolve(313,a,216,a)].
% 6.45/6.75 525 coll(c2,c2,c6). [resolve(313,a,213,a)].
% 6.45/6.75 526 coll(c2,c2,c1). [resolve(393,a,313,a)].
% 6.45/6.75 529 coll(c1,c2,c6). [resolve(393,a,113,a)].
% 6.45/6.75 530 coll(c1,c1,c6). [resolve(394,a,313,a)].
% 6.45/6.75 534 coll(c3,c3,c1). [resolve(412,a,313,a)].
% 6.45/6.75 538 coll(c1,c1,c7). [resolve(413,a,313,a)].
% 6.45/6.75 541 coll(c3,c7,c1). [resolve(413,a,114,a)].
% 6.45/6.75 542 coll(c6,c6,c5). [resolve(416,a,313,a)].
% 6.45/6.75 565 coll(c6,c8,c6). [resolve(523,a,113,a)].
% 6.45/6.75 570 coll(c6,c6,c2). [resolve(525,a,313,a)].
% 6.45/6.75 574 coll(c1,c1,c2). [resolve(526,a,313,a)].
% 6.45/6.75 578 coll(c6,c6,c1). [resolve(529,a,313,a)].
% 6.45/6.75 582 -coll(c1,c1,A) | coll(A,c6,c1). [resolve(530,a,115,b)].
% 6.45/6.75 587 coll(c1,c1,c3). [resolve(534,a,313,a)].
% 6.45/6.75 596 -coll(c1,c1,A) | coll(c7,A,c1). [resolve(538,a,115,a)].
% 6.45/6.75 598 -coll(c3,c7,A) | coll(A,c1,c3). [resolve(541,a,115,b)].
% 6.45/6.75 600 coll(c5,c5,c6). [resolve(542,a,313,a)].
% 6.45/6.75 636 coll(c6,c6,c6). [resolve(565,a,313,a)].
% 6.45/6.75 649 coll(c6,c2,c6). [resolve(570,a,113,a)].
% 6.45/6.75 684 -coll(c5,c5,A) | coll(c6,A,c5). [resolve(600,a,115,a)].
% 6.45/6.75 701 para(c6,c5,c6,c5). [resolve(389,a,388,a)].
% 6.45/6.75 702 para(c1,c2,c1,c2). [resolve(389,a,387,a)].
% 6.45/6.75 741 perp(c2,c1,c6,c5). [resolve(390,a,120,a)].
% 6.45/6.75 764 coll(c2,c6,c6). [resolve(649,a,114,a)].
% 6.45/6.75 866 -midp(A,c6,c6) | midp(A,c5,c5). [resolve(701,a,327,b)].
% 6.45/6.75 875 eqangle(c6,c5,A,B,c6,c5,A,B). [resolve(701,a,151,a)].
% 6.45/6.75 876 para(c6,c5,c5,c6). [resolve(701,a,116,a)].
% 6.45/6.75 879 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(702,a,327,b)].
% 6.45/6.75 904 para(c2,c1,c1,c2). [resolve(741,a,387,a)].
% 6.45/6.75 962 para(c5,c6,c6,c5). [resolve(876,a,117,a)].
% 6.45/6.75 1003 -midp(c2,A,c1) | -coll(c1,A,c2) | midp(c1,A,c2). [resolve(904,a,157,b)].
% 6.45/6.75 1009 para(c1,c3,c1,c3). [resolve(406,a,408,a)].
% 6.45/6.75 1065 para(c5,c6,c5,c6). [resolve(962,a,116,a)].
% 6.45/6.75 1120 -midp(c1,A,c1) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(1009,a,157,b)].
% 6.45/6.75 1121 eqangle(c1,c3,A,B,c1,c3,A,B). [resolve(1009,a,151,a)].
% 6.45/6.75 1146 eqangle(c5,c6,A,B,c5,c6,A,B). [resolve(1065,a,151,a)].
% 6.45/6.75 1447 para(c1,c4,c1,c4). [resolve(444,a,442,a)].
% 6.45/6.75 1471 coll(c1,c4,c4). [resolve(1447,a,173,a)].
% 6.45/6.75 1475 para(c1,c4,c4,c1). [resolve(1447,a,116,a)].
% 6.45/6.75 1476 coll(c4,c4,c1). [resolve(1471,a,313,a)].
% 6.45/6.75 1484 coll(c1,c1,c4). [resolve(1476,a,313,a)].
% 6.45/6.75 1542 para(c4,c1,c1,c4). [resolve(1475,a,117,a)].
% 6.45/6.75 1558 para(c4,c1,c4,c1). [resolve(1542,a,116,a)].
% 6.45/6.75 1561 -midp(A,c4,c4) | midp(A,c1,c1). [resolve(1558,a,327,b)].
% 6.45/6.75 1779 coll(c3,c6,c1). [resolve(582,a,587,a)].
% 6.45/6.75 1795 coll(c6,c3,c1). [resolve(1779,a,114,a)].
% 6.45/6.75 1796 coll(c3,c1,c6). [resolve(1779,a,113,a)].
% 6.45/6.75 1822 coll(c6,c1,c3). [resolve(1795,a,113,a)].
% 6.45/6.75 1823 coll(c6,c6,c3). [resolve(1796,a,313,a)].
% 6.45/6.75 1900 coll(c2,c3,c6). [resolve(1822,a,392,a)].
% 6.45/6.75 2008 coll(c2,c6,c3). [resolve(1900,a,113,a)].
% 6.45/6.75 2146 coll(c3,c3,c2). [resolve(2008,a,313,a)].
% 6.45/6.75 2289 para(c5,c4,c5,c4). [resolve(494,a,492,a)].
% 6.45/6.75 2352 coll(c3,c2,c3). [resolve(2146,a,113,a)].
% 6.45/6.75 2874 coll(c7,c4,c1). [resolve(596,a,1484,a)].
% 6.45/6.75 2933 coll(c7,c1,c4). [resolve(2874,a,113,a)].
% 6.45/6.75 2963 coll(c3,c4,c7). [resolve(2933,a,411,a)].
% 6.45/6.75 2986 coll(c3,c7,c4). [resolve(2963,a,113,a)].
% 6.45/6.75 3035 coll(c4,c1,c3). [resolve(2986,a,598,a)].
% 6.45/6.75 3040 perp(c1,c2,c2,c3). [back_unit_del(261),unit_del(a,3035)].
% 6.45/6.75 3280 -midp(A,c5,c5) | midp(A,c4,c4). [resolve(2289,a,327,b)].
% 6.45/6.75 3291 para(c6,c5,c2,c3). [resolve(3040,a,388,a)].
% 6.45/6.75 3349 para(c2,c3,c6,c5). [resolve(3291,a,117,a)].
% 6.45/6.75 3419 para(c2,c3,c5,c6). [resolve(3349,a,116,a)].
% 6.45/6.75 3481 -para(A,B,c2,c3) | para(A,B,c5,c6). [resolve(3419,a,118,b)].
% 6.45/6.75 3483 para(c5,c6,c2,c3). [resolve(3419,a,117,a)].
% 6.45/6.75 3552 para(c5,c6,c3,c2). [resolve(3483,a,116,a)].
% 6.45/6.75 3596 -para(A,B,c5,c6) | para(A,B,c3,c2). [resolve(3552,a,118,b)].
% 6.45/6.75 3895 -coll(c6,c6,A) | cyclic(c5,A,c6,c6). [resolve(875,a,154,a)].
% 6.45/6.75 3896 eqangle(c6,c5,c6,c5,A,B,A,B). [resolve(875,a,132,a)].
% 6.45/6.75 3897 eqangle(A,B,c6,c5,A,B,c6,c5). [resolve(875,a,130,a)].
% 6.45/6.75 4917 eqangle(A,B,c1,c3,A,B,c1,c3). [resolve(1121,a,130,a)].
% 6.45/6.75 5069 -cyclic(c6,c6,c5,c6) | -cyclic(c6,c6,c5,c5) | cong(c6,c6,c6,c6). [resolve(1146,a,319,c)].
% 6.45/6.75 16292 cyclic(c5,c3,c6,c6). [resolve(3895,a,1823,a)].
% 6.45/6.75 16295 cyclic(c5,c6,c6,c6). [resolve(3895,a,636,a)].
% 6.45/6.75 16296 cyclic(c5,c1,c6,c6). [resolve(3895,a,578,a)].
% 6.45/6.75 16297 cyclic(c5,c2,c6,c6). [resolve(3895,a,570,a)].
% 6.45/6.75 16298 cyclic(c5,c5,c6,c6). [resolve(3895,a,542,a)].
% 6.45/6.75 16313 cyclic(c5,c6,c3,c6). [resolve(16292,a,126,a)].
% 6.45/6.75 16330 cyclic(c6,c5,c6,c6). [resolve(16295,a,127,a)].
% 6.45/6.75 16336 cyclic(c5,c6,c1,c6). [resolve(16296,a,126,a)].
% 6.45/6.75 16338 cyclic(c2,c6,c6,c6). [resolve(16297,a,318,a)].
% 6.45/6.75 16345 -cyclic(c5,c5,c6,A) | cyclic(c5,c6,c6,A). [resolve(16298,a,128,a)].
% 6.45/6.75 16346 cyclic(c5,c6,c5,c6). [resolve(16298,a,126,a)].
% 6.45/6.75 16380 cyclic(c5,c6,c6,c3). [resolve(16313,a,125,a)].
% 6.45/6.75 16412 cyclic(c6,c6,c5,c6). [resolve(16330,a,126,a)].
% 6.45/6.75 16413 -cyclic(c6,c6,c5,c5) | cong(c6,c6,c6,c6). [back_unit_del(5069),unit_del(a,16412)].
% 6.45/6.75 16427 cyclic(c5,c6,c6,c1). [resolve(16336,a,125,a)].
% 6.45/6.75 16432 cyclic(c6,c2,c6,c6). [resolve(16338,a,127,a)].
% 6.45/6.75 16455 cyclic(c5,c6,c6,c5). [resolve(16346,a,125,a)].
% 6.45/6.75 16507 -cyclic(c5,c6,c6,A) | cyclic(c6,c6,A,c3). [resolve(16380,a,128,b)].
% 6.45/6.75 16560 -cyclic(c5,c6,c6,A) | cyclic(c6,c6,A,c1). [resolve(16427,a,128,b)].
% 6.45/6.75 16565 cyclic(c6,c6,c2,c6). [resolve(16432,a,126,a)].
% 6.45/6.75 16584 cyclic(c6,c6,c5,c5). [resolve(16455,a,318,a)].
% 6.45/6.75 16589 cong(c6,c6,c6,c6). [back_unit_del(16413),unit_del(a,16584)].
% 6.45/6.75 17039 -cong(c6,c2,c6,c2) | perp(c2,c6,c6,c6). [resolve(16565,a,164,c),unit_del(b,16589)].
% 6.45/6.75 17082 midp(c6,c6,c6). [resolve(16589,a,174,a),unit_del(a,636)].
% 6.45/6.75 17087 midp(c6,c5,c5). [resolve(17082,a,866,a)].
% 6.45/6.75 17115 midp(c6,c4,c4). [resolve(17087,a,3280,a)].
% 6.45/6.75 17160 midp(c6,c1,c1). [resolve(17115,a,1561,a)].
% 6.45/6.75 17222 midp(c6,c2,c2). [resolve(17160,a,879,a)].
% 6.45/6.75 17285 cong(c6,c2,c6,c2). [resolve(17222,a,175,a)].
% 6.45/6.75 17291 perp(c2,c6,c6,c6). [back_unit_del(17039),unit_del(a,17285)].
% 6.45/6.75 18618 cong(c2,c6,c2,c6). [resolve(17291,a,162,b),unit_del(a,17082)].
% 6.45/6.75 19311 midp(c2,c6,c6). [resolve(18618,a,174,a),unit_del(a,764)].
% 6.45/6.75 19318 midp(c2,c5,c5). [resolve(19311,a,866,a)].
% 6.45/6.75 19347 midp(c2,c4,c4). [resolve(19318,a,3280,a)].
% 6.45/6.75 19368 midp(c2,c1,c1). [resolve(19347,a,1561,a)].
% 6.45/6.75 19401 midp(c1,c1,c2). [resolve(19368,a,1003,a),unit_del(a,574)].
% 6.45/6.75 19438 midp(c1,c2,c1). [resolve(19401,a,123,a)].
% 6.45/6.75 19451 midp(c3,c2,c3). [resolve(19438,a,1120,a),unit_del(a,2352)].
% 6.45/6.75 19480 cong(c3,c2,c3,c3). [resolve(19451,a,175,a)].
% 6.45/6.75 19485 midp(c3,c3,c2). [resolve(19451,a,123,a)].
% 6.45/6.75 19517 cong(c3,c3,c3,c2). [resolve(19485,a,175,a)].
% 6.45/6.75 20904 perp(c2,c3,c3,c3). [resolve(19480,a,352,c),unit_del(a,2352)].
% 6.45/6.75 20963 cong(c3,c3,c2,c3). [resolve(19517,a,134,a)].
% 6.45/6.75 22846 -coll(c6,A,c5) | cyclic(c5,c5,c6,A). [resolve(3896,a,154,a)].
% 6.45/6.75 22893 para(A,B,A,B). [resolve(3897,a,150,a)].
% 6.45/6.75 23755 perp(c3,c3,c2,c3). [resolve(20904,a,120,a)].
% 6.45/6.75 23805 perp(c3,c2,c3,c3). [resolve(20963,a,323,a)].
% 6.45/6.75 24660 coll(A,B,B). [resolve(22893,a,173,a)].
% 6.45/6.75 24667 coll(A,A,B). [resolve(24660,a,313,a)].
% 6.45/6.75 25000 coll(c6,A,c5). [back_unit_del(684),unit_del(a,24667)].
% 6.45/6.75 25124 cyclic(c5,c5,c6,A). [back_unit_del(22846),unit_del(a,25000)].
% 6.45/6.75 25239 cyclic(c5,c6,c6,A). [back_unit_del(16345),unit_del(a,25124)].
% 6.45/6.75 25249 cyclic(c6,c6,A,c1). [back_unit_del(16560),unit_del(a,25239)].
% 6.45/6.75 25255 cyclic(c6,c6,A,c3). [back_unit_del(16507),unit_del(a,25239)].
% 6.45/6.75 25986 -perp(A,B,c3,c3) | para(A,B,c2,c3). [resolve(23755,a,121,b)].
% 6.45/6.75 26070 -perp(c3,c3,A,B) | para(c3,c2,A,B). [resolve(23805,a,121,a)].
% 6.45/6.75 26446 cyclic(c5,c6,A,B). [resolve(25124,a,128,b),unit_del(a,25124)].
% 6.45/6.75 26469 cyclic(c6,c6,A,B). [resolve(25239,a,128,b),unit_del(a,26446)].
% 6.45/6.75 26498 cyclic(c6,A,B,c1). [resolve(25249,a,128,b),unit_del(a,26469)].
% 6.45/6.75 26519 cyclic(c6,A,B,c3). [resolve(25255,a,128,b),unit_del(a,26469)].
% 6.45/6.75 27432 cyclic(c6,A,B,C). [resolve(26446,a,128,b),unit_del(a,26446)].
% 6.45/6.75 27559 cyclic(A,B,C,c1). [resolve(26498,a,128,b),unit_del(a,27432)].
% 6.45/6.75 27560 cyclic(A,B,c1,C). [resolve(26498,a,128,a),unit_del(a,27432)].
% 6.45/6.75 27618 cyclic(A,B,C,c3). [resolve(26519,a,128,b),unit_del(a,27432)].
% 6.45/6.75 27691 cong(A,c3,A,c3). [resolve(4917,a,155,d),unit_del(a,27560),unit_del(b,27618),unit_del(c,27559)].
% 6.45/6.75 28254 cong(A,c3,c3,A). [resolve(27691,a,134,a)].
% 6.45/6.75 28596 cong(c3,A,A,c3). [resolve(28254,a,135,a)].
% 6.45/6.75 28835 cong(c3,A,c3,A). [resolve(28596,a,134,a)].
% 6.45/6.75 28989 perp(c3,c3,A,B). [resolve(28835,a,163,b),unit_del(a,28835)].
% 6.45/6.75 28992 para(c3,c2,A,B). [back_unit_del(26070),unit_del(a,28989)].
% 6.45/6.75 29170 perp(A,B,c3,c3). [resolve(28989,a,120,a)].
% 6.45/6.75 29171 para(A,B,c2,c3). [back_unit_del(25986),unit_del(a,29170)].
% 6.45/6.75 29176 para(A,B,c5,c6). [back_unit_del(3481),unit_del(a,29171)].
% 6.45/6.75 29180 para(A,B,c3,c2). [back_unit_del(3596),unit_del(a,29176)].
% 6.45/6.75 29192 para(A,B,C,D). [resolve(28992,a,118,b),unit_del(a,29180)].
% 6.45/6.75 29193 $F. [resolve(29192,a,218,a)].
% 6.45/6.75
% 6.45/6.75 % SZS output end Refutation
% 6.45/6.75 ============================== end of proof ==========================
% 6.45/6.75
% 6.45/6.75 ============================== STATISTICS ============================
% 6.45/6.75
% 6.45/6.75 Given=9966. Generated=139917. Kept=29056. proofs=1.
% 6.45/6.75 Usable=7878. Sos=7465. Demods=0. Limbo=2, Disabled=13904. Hints=0.
% 6.45/6.75 Megabytes=16.37.
% 6.45/6.75 User_CPU=5.59, System_CPU=0.07, Wall_clock=6.
% 6.45/6.75
% 6.45/6.75 ============================== end of statistics =====================
% 6.45/6.75
% 6.45/6.75 ============================== end of search =========================
% 6.45/6.75
% 6.45/6.75 THEOREM PROVED
% 6.45/6.75 % SZS status Theorem
% 6.45/6.75
% 6.45/6.75 Exiting with 1 proof.
% 6.45/6.75
% 6.45/6.75 Process 14104 exit (max_proofs) Sat Jun 18 10:05:49 2022
% 6.45/6.75 Prover9 interrupted
%------------------------------------------------------------------------------