TSTP Solution File: GEO589+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 05:57:06 EDT 2022
% Result : Theorem 3.44s 3.77s
% Output : Refutation 3.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sat Jun 18 10:38:17 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.60/0.89 ============================== Prover9 ===============================
% 0.60/0.89 Prover9 (32) version 2009-11A, November 2009.
% 0.60/0.89 Process 24225 was started by sandbox2 on n032.cluster.edu,
% 0.60/0.89 Sat Jun 18 10:38:17 2022
% 0.60/0.89 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24072_n032.cluster.edu".
% 0.60/0.89 ============================== end of head ===========================
% 0.60/0.89
% 0.60/0.89 ============================== INPUT =================================
% 0.60/0.89
% 0.60/0.89 % Reading from file /tmp/Prover9_24072_n032.cluster.edu
% 0.60/0.89
% 0.60/0.89 set(prolog_style_variables).
% 0.60/0.89 set(auto2).
% 0.60/0.89 % set(auto2) -> set(auto).
% 0.60/0.89 % set(auto) -> set(auto_inference).
% 0.60/0.89 % set(auto) -> set(auto_setup).
% 0.60/0.89 % set(auto_setup) -> set(predicate_elim).
% 0.60/0.89 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.60/0.89 % set(auto) -> set(auto_limits).
% 0.60/0.89 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.60/0.89 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.60/0.89 % set(auto) -> set(auto_denials).
% 0.60/0.89 % set(auto) -> set(auto_process).
% 0.60/0.89 % set(auto2) -> assign(new_constants, 1).
% 0.60/0.89 % set(auto2) -> assign(fold_denial_max, 3).
% 0.60/0.89 % set(auto2) -> assign(max_weight, "200.000").
% 0.60/0.89 % set(auto2) -> assign(max_hours, 1).
% 0.60/0.89 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.60/0.89 % set(auto2) -> assign(max_seconds, 0).
% 0.60/0.89 % set(auto2) -> assign(max_minutes, 5).
% 0.60/0.89 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.60/0.89 % set(auto2) -> set(sort_initial_sos).
% 0.60/0.89 % set(auto2) -> assign(sos_limit, -1).
% 0.60/0.89 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.60/0.89 % set(auto2) -> assign(max_megs, 400).
% 0.60/0.89 % set(auto2) -> assign(stats, some).
% 0.60/0.89 % set(auto2) -> clear(echo_input).
% 0.60/0.89 % set(auto2) -> set(quiet).
% 0.60/0.89 % set(auto2) -> clear(print_initial_clauses).
% 0.60/0.89 % set(auto2) -> clear(print_given).
% 0.60/0.89 assign(lrs_ticks,-1).
% 0.60/0.89 assign(sos_limit,10000).
% 0.60/0.89 assign(order,kbo).
% 0.60/0.89 set(lex_order_vars).
% 0.60/0.89 clear(print_given).
% 0.60/0.89
% 0.60/0.89 % formulas(sos). % not echoed (95 formulas)
% 0.60/0.89
% 0.60/0.89 ============================== end of input ==========================
% 0.60/0.89
% 0.60/0.89 % From the command line: assign(max_seconds, 300).
% 0.60/0.89
% 0.60/0.89 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.60/0.89
% 0.60/0.89 % Formulas that are not ordinary clauses:
% 0.60/0.89 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.89 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.89 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].
% 0.60/0.89 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.89 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.89 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].
% 0.60/0.90 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].
% 0.60/0.90 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].
% 0.60/0.90 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].
% 0.60/0.90 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].
% 0.60/0.90 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].
% 0.60/0.90 95 -(all A all B all C all O all D all E all NWPNT1 all NWPNT2 (circle(O,A,B,C) & perp(A,C,B,D) & circle(O,A,D,NWPNT1) & circle(O,D,E,NWPNT2) & coll(E,D,O) -> para(B,E,A,C))) # label(exemplo6GDDFULL416051) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.60/0.90
% 0.60/0.90 ============================== end of process non-clausal formulas ===
% 0.60/0.90
% 0.60/0.90 ============================== PROCESS INITIAL CLAUSES ===============
% 0.60/0.90
% 0.60/0.90 ============================== PREDICATE ELIMINATION =================
% 0.60/0.90 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)].
% 0.60/0.90 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 100 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.60/0.90 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)].
% 0.60/0.90 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.60/0.90 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)].
% 0.60/0.90 103 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 104 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 105 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 106 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 107 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 108 -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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 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)].
% 0.60/0.90 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 0.60/0.90 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.60/0.90 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.60/0.90 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.60/0.90 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.60/0.90 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.60/0.90 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.60/0.90 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)].
% 1.64/1.95 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)].
% 1.64/1.95 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)].
% 1.64/1.95 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)].
% 1.64/1.95 110 circle(c4,c1,c5,c7) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 1.64/1.95 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c7,c1,c7,c5). [resolve(110,a,96,a)].
% 1.64/1.95 Derived: -eqangle(c1,A,c1,c5,c7,c1,c7,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 1.64/1.95 Derived: -midp(A,c5,c7) | eqangle(c1,c5,c1,c7,c4,c5,c4,A). [resolve(110,a,99,a)].
% 1.64/1.95 Derived: -coll(A,c5,c7) | -eqangle(c1,c5,c1,c7,c4,c5,c4,A) | midp(A,c5,c7). [resolve(110,a,100,a)].
% 1.64/1.95 Derived: -coll(c4,c1,c7) | perp(c1,c5,c5,c7). [resolve(110,a,101,a)].
% 1.64/1.95 Derived: perp(f12(c1,c5,c7,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 1.64/1.95 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c7,A,c4,B),c1,c7). [resolve(110,a,103,a)].
% 1.64/1.95 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c7,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 1.64/1.95 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c7,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 1.64/1.95 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c7,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 1.64/1.95 111 circle(c4,c5,c6,c8) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 1.64/1.95 Derived: -perp(c4,c5,c5,A) | eqangle(c5,A,c5,c6,c8,c5,c8,c6). [resolve(111,a,96,a)].
% 1.64/1.95 Derived: -eqangle(c5,A,c5,c6,c8,c5,c8,c6) | perp(c4,c5,c5,A). [resolve(111,a,98,a)].
% 1.64/1.95 Derived: -midp(A,c6,c8) | eqangle(c5,c6,c5,c8,c4,c6,c4,A). [resolve(111,a,99,a)].
% 1.64/1.95 Derived: -coll(A,c6,c8) | -eqangle(c5,c6,c5,c8,c4,c6,c4,A) | midp(A,c6,c8). [resolve(111,a,100,a)].
% 1.64/1.95 Derived: -coll(c4,c5,c8) | perp(c5,c6,c6,c8). [resolve(111,a,101,a)].
% 1.64/1.95 Derived: perp(f12(c5,c6,c8,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 1.64/1.95 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | coll(f13(c5,c6,c8,A,c4,B),c5,c8). [resolve(111,a,103,a)].
% 1.64/1.95 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | cong(f13(c5,c6,c8,A,c4,B),B,B,c5). [resolve(111,a,104,a)].
% 1.64/1.95 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | coll(f14(c5,c6,c8,A,c4,B),c6,A). [resolve(111,a,105,a)].
% 1.64/1.95 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | cong(f14(c5,c6,c8,A,c4,B),B,B,c5). [resolve(111,a,106,a)].
% 1.64/1.95
% 1.64/1.95 ============================== end predicate elimination =============
% 1.64/1.95
% 1.64/1.95 Auto_denials: (non-Horn, no changes).
% 1.64/1.95
% 1.64/1.95 Term ordering decisions:
% 1.64/1.95 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. f19=1. f1=1. f2=1. f3=1. f4=1. f10=1. f11=1. f12=1. f16=1. f5=1. f9=1. f15=1. f17=1. f18=1. f6=1. f13=1. f14=1. f20=1. f7=1. f8=1.
% 1.64/1.95
% 1.64/1.95 ============================== end of process initial clauses ========
% 1.64/1.95
% 1.64/1.95 ============================== CLAUSES FOR SEARCH ====================
% 1.64/1.95
% 1.64/1.95 ============================== end of clauses for search =============
% 1.64/1.95
% 1.64/1.95 ============================== SEARCH ================================
% 1.64/1.95
% 1.64/1.95 % Starting search at 0.04 seconds.
% 1.64/1.95
% 1.64/1.95 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.11 sec).
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=53.000, iters=3341
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=52.000, iters=3341
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=45.000, iters=3334
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=44.000, iters=3343
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=32.000, iters=3340
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=29.000, iters=3339
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=28.000, iters=3338
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=26.000, iters=3517
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=24.000, iters=3358
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=23.000, iters=3335
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=22.000, iters=3434
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=21.000, iters=3340
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=19.000, iters=3340
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=18.000, iters=3333
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=17.000, iters=3378
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=15.000, iters=3342
% 1.64/1.95
% 1.64/1.95 Low Water (keep): wt=14.000, iters=3333
% 1.64/1.95
% 1.64/1.95 Low Water (displace): id=7575, wt=57.000
% 1.64/1.95
% 1.64/1.95 Low Water (displace): id=7572, wt=49.000
% 1.64/1.95
% 1.64/1.95 Low Water (displace): id=7573, wt=48.000
% 1.64/1.95
% 1.64/1.95 Low Water (displace): id=7664, wt=46.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=8249, wt=45.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=8278, wt=44.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=6121, wt=42.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=6122, wt=41.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=7250, wt=40.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=7574, wt=39.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=6123, wt=37.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=7855, wt=36.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=7854, wt=34.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=6095, wt=33.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=8549, wt=32.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=7577, wt=31.000
% 3.44/3.77
% 3.44/3.77 Low Water (keep): wt=13.000, iters=3338
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=14367, wt=9.000
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=14370, wt=8.000
% 3.44/3.77
% 3.44/3.77 Low Water (keep): wt=12.000, iters=3376
% 3.44/3.77
% 3.44/3.77 Low Water (keep): wt=11.000, iters=3350
% 3.44/3.77
% 3.44/3.77 Low Water (keep): wt=10.000, iters=3333
% 3.44/3.77
% 3.44/3.77 Low Water (displace): id=20042, wt=7.000
% 3.44/3.77
% 3.44/3.77 ============================== PROOF =================================
% 3.44/3.77 % SZS status Theorem
% 3.44/3.77 % SZS output start Refutation
% 3.44/3.77
% 3.44/3.77 % Proof 1 at 2.84 (+ 0.05) seconds.
% 3.44/3.77 % Length of proof is 212.
% 3.44/3.77 % Level of proof is 34.
% 3.44/3.77 % Maximum clause weight is 29.000.
% 3.44/3.77 % Given clauses 6024.
% 3.44/3.77
% 3.44/3.77 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 3 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 4 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 5 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 7 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 8 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 9 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 12 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 14 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 15 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 16 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(B,A,C,D))) # label(ruleD16) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 17 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 19 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 23 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 24 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 43 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 46 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 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].
% 3.44/3.77 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 66 (all A all B all C all D all O (para(A,B,C,D) & coll(O,A,C) & coll(O,B,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 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].
% 3.44/3.77 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 76 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 87 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause). [assumption].
% 3.44/3.77 95 -(all A all B all C all O all D all E all NWPNT1 all NWPNT2 (circle(O,A,B,C) & perp(A,C,B,D) & circle(O,A,D,NWPNT1) & circle(O,D,E,NWPNT2) & coll(E,D,O) -> para(B,E,A,C))) # label(exemplo6GDDFULL416051) # label(negated_conjecture) # label(non_clause). [assumption].
% 3.44/3.77 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 3.44/3.77 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 3.44/3.77 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 3.44/3.77 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 3.44/3.77 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 3.44/3.77 111 circle(c4,c5,c6,c8) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 3.44/3.77 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 3.44/3.77 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 3.44/3.77 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 3.44/3.77 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 3.44/3.77 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 3.44/3.77 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 3.44/3.77 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 3.44/3.77 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 3.44/3.77 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 3.44/3.77 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 3.44/3.77 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 3.44/3.77 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 3.44/3.77 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 3.44/3.77 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 3.44/3.77 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 3.44/3.77 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 3.44/3.77 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 3.44/3.77 154 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 3.44/3.77 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 3.44/3.77 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 3.44/3.77 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 3.44/3.77 163 -cong(A,B,C,B) | -cong(A,D,C,D) | -cyclic(A,C,B,D) | perp(B,A,A,D) # label(ruleD57) # label(axiom). [clausify(58)].
% 3.44/3.77 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 3.44/3.77 171 -para(A,B,C,D) | -coll(E,A,C) | -coll(E,B,D) | eqratio(E,A,A,C,E,B,B,D) # label(ruleD65) # label(axiom). [clausify(66)].
% 3.44/3.77 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 3.44/3.77 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 3.44/3.77 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 3.44/3.77 180 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(76)].
% 3.44/3.77 211 perp(c1,c3,c2,c5) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 3.44/3.77 212 coll(c6,c5,c4) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 3.44/3.77 213 -para(c2,c6,c1,c3) # label(exemplo6GDDFULL416051) # label(negated_conjecture). [clausify(95)].
% 3.44/3.77 217 -coll(A,B,C) | -eqangle(D,B,D,C,E,B,E,A) | midp(A,B,C) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(100,a,97,c)].
% 3.44/3.77 218 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 3.44/3.77 257 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 3.44/3.77 285 perp(f12(c5,c6,c8,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 3.44/3.77 294 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 3.44/3.77 299 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(127,a,b)].
% 3.44/3.77 300 -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(154,a,b)].
% 3.44/3.77 302 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(154,b,c)].
% 3.44/3.77 308 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 3.44/3.77 332 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(217,d,e)].
% 3.44/3.77 333 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(218,c,d)].
% 3.44/3.77 368 -perp(A,B,c1,c3) | para(A,B,c2,c5). [resolve(211,a,120,b)].
% 3.44/3.77 369 -perp(c2,c5,A,B) | para(c1,c3,A,B). [resolve(211,a,120,a)].
% 3.44/3.77 370 perp(c2,c5,c1,c3). [resolve(211,a,119,a)].
% 3.44/3.77 371 perp(c1,c3,c5,c2). [resolve(211,a,118,a)].
% 3.44/3.77 374 coll(c5,c6,c4). [resolve(212,a,113,a)].
% 3.44/3.77 396 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(257,a,120,b)].
% 3.44/3.77 398 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(257,a,119,a)].
% 3.44/3.77 446 -perp(A,B,f12(c5,c6,c8,c4),c5) | para(A,B,c5,c4). [resolve(285,a,120,b)].
% 3.44/3.77 448 perp(c5,c4,f12(c5,c6,c8,c4),c5). [resolve(285,a,119,a)].
% 3.44/3.77 452 coll(c4,c4,c5). [resolve(374,a,294,a)].
% 3.44/3.77 465 -coll(c4,c4,A) | coll(A,c5,c4). [resolve(452,a,114,b)].
% 3.44/3.77 537 perp(c2,c5,c3,c1). [resolve(370,a,118,a)].
% 3.44/3.77 551 perp(c5,c2,c1,c3). [resolve(371,a,119,a)].
% 3.44/3.77 620 para(c5,c2,c2,c5). [resolve(368,a,551,a)].
% 3.44/3.77 621 para(c2,c5,c2,c5). [resolve(368,a,370,a)].
% 3.44/3.77 632 -coll(A,c5,c2) | -coll(A,c2,c5) | eqratio(A,c5,c5,c2,A,c2,c2,c5). [resolve(620,a,171,a)].
% 3.44/3.77 638 para(c5,c2,c5,c2). [resolve(620,a,115,a)].
% 3.44/3.77 641 -midp(A,c2,c2) | midp(A,c5,c5). [resolve(621,a,308,b)].
% 3.44/3.77 648 coll(c2,c5,c5). [resolve(621,a,172,a)].
% 3.44/3.77 651 eqangle(c2,c5,A,B,c2,c5,A,B). [resolve(621,a,150,a)].
% 3.44/3.77 652 coll(c5,c5,c2). [resolve(648,a,294,a)].
% 3.44/3.77 655 coll(c5,c2,c5). [resolve(648,a,113,a)].
% 3.44/3.77 658 coll(c2,c2,c5). [resolve(652,a,294,a)].
% 3.44/3.77 659 -coll(c5,c5,A) | coll(A,c2,c5). [resolve(652,a,114,b)].
% 3.44/3.77 661 para(c1,c3,c3,c1). [resolve(369,a,537,a)].
% 3.44/3.77 662 para(c1,c3,c1,c3). [resolve(369,a,370,a)].
% 3.44/3.77 667 coll(c2,c5,c2). [resolve(658,a,112,a)].
% 3.44/3.77 670 coll(c2,c2,c2). [resolve(667,a,294,a)].
% 3.44/3.77 674 -coll(c2,c2,A) | coll(A,c2,c2). [resolve(670,a,114,b)].
% 3.44/3.77 703 eqangle(c5,c2,A,B,c5,c2,A,B). [resolve(638,a,150,a)].
% 3.44/3.77 719 para(c3,c1,c1,c3). [resolve(661,a,116,a)].
% 3.44/3.77 722 -midp(A,c1,c1) | midp(A,c3,c3). [resolve(662,a,308,b)].
% 3.44/3.77 729 coll(c1,c3,c3). [resolve(662,a,172,a)].
% 3.44/3.77 732 eqangle(c1,c3,A,B,c1,c3,A,B). [resolve(662,a,150,a)].
% 3.44/3.77 733 coll(c3,c3,c1). [resolve(729,a,294,a)].
% 3.44/3.77 741 coll(c1,c1,c3). [resolve(733,a,294,a)].
% 3.44/3.77 747 -coll(c1,c1,A) | coll(A,c3,c1). [resolve(741,a,114,b)].
% 3.44/3.77 778 -midp(c3,A,c1) | -coll(c1,A,c3) | midp(c1,A,c3). [resolve(719,a,156,b)].
% 3.44/3.77 909 para(c1,c4,c1,c4). [resolve(398,a,396,a)].
% 3.44/3.77 933 coll(c1,c4,c4). [resolve(909,a,172,a)].
% 3.44/3.77 937 para(c1,c4,c4,c1). [resolve(909,a,115,a)].
% 3.44/3.77 938 coll(c4,c4,c1). [resolve(933,a,294,a)].
% 3.44/3.77 945 coll(c1,c5,c4). [resolve(938,a,465,a)].
% 3.44/3.77 984 coll(c1,c4,c5). [resolve(945,a,112,a)].
% 3.44/3.77 1003 coll(c5,c5,c1). [resolve(984,a,294,a)].
% 3.44/3.77 1144 para(c4,c1,c1,c4). [resolve(937,a,116,a)].
% 3.44/3.77 1160 para(c4,c1,c4,c1). [resolve(1144,a,115,a)].
% 3.44/3.77 1163 -midp(A,c4,c4) | midp(A,c1,c1). [resolve(1160,a,308,b)].
% 3.44/3.77 1173 coll(c1,c2,c5). [resolve(659,a,1003,a)].
% 3.44/3.77 1176 coll(c2,c1,c5). [resolve(1173,a,113,a)].
% 3.44/3.77 1177 coll(c1,c5,c2). [resolve(1173,a,112,a)].
% 3.44/3.77 1180 coll(c2,c5,c1). [resolve(1176,a,112,a)].
% 3.44/3.77 1181 coll(c2,c2,c1). [resolve(1177,a,294,a)].
% 3.44/3.77 1185 coll(c1,c1,c2). [resolve(1180,a,294,a)].
% 3.44/3.77 1209 coll(c2,c3,c1). [resolve(747,a,1185,a)].
% 3.44/3.77 1215 coll(c3,c2,c1). [resolve(1209,a,113,a)].
% 3.44/3.77 1236 coll(c3,c1,c2). [resolve(1215,a,112,a)].
% 3.44/3.77 1268 coll(c2,c2,c3). [resolve(1236,a,294,a)].
% 3.44/3.77 1311 coll(c3,c2,c2). [resolve(1268,a,674,a)].
% 3.44/3.77 1748 para(c5,c4,c5,c4). [resolve(448,a,446,a)].
% 3.44/3.77 1828 -midp(A,c5,c5) | midp(A,c4,c4). [resolve(1748,a,308,b)].
% 3.44/3.77 2265 eqratio(c5,c5,c5,c2,c5,c2,c2,c5). [resolve(632,a,652,a),unit_del(a,655)].
% 3.44/3.77 2551 -cyclic(c5,c2,c2,c5) | -cyclic(c5,c2,c2,c2) | cong(c5,c2,c5,c2). [resolve(651,a,302,c)].
% 3.44/3.77 2561 -coll(c2,c2,A) | cyclic(c5,A,c2,c2). [resolve(651,a,153,a)].
% 3.44/3.77 2563 eqangle(A,B,c2,c5,A,B,c2,c5). [resolve(651,a,129,a)].
% 3.44/3.77 3454 midp(c2,c2,c2) | -cong(c5,c5,c5,c2). [resolve(703,a,332,b),unit_del(a,670)].
% 3.44/3.77 3456 -cyclic(c2,c2,c5,c2) | -cyclic(c2,c2,c5,c5) | cong(c2,c2,c2,c2). [resolve(703,a,300,c)].
% 3.44/3.77 4013 eqangle(A,B,c1,c3,A,B,c1,c3). [resolve(732,a,129,a)].
% 3.44/3.77 7904 -cong(c5,c2,c2,c5) | cong(c5,c5,c5,c2). [resolve(2265,a,180,a)].
% 3.44/3.77 7959 cyclic(c5,c3,c2,c2). [resolve(2561,a,1268,a)].
% 3.44/3.77 7960 cyclic(c5,c1,c2,c2). [resolve(2561,a,1181,a)].
% 3.44/3.77 7963 cyclic(c5,c2,c2,c2). [resolve(2561,a,670,a)].
% 3.44/3.77 7964 cyclic(c5,c5,c2,c2). [resolve(2561,a,658,a)].
% 3.44/3.77 7965 -cyclic(c5,c2,c2,c5) | cong(c5,c2,c5,c2). [back_unit_del(2551),unit_del(b,7963)].
% 3.44/3.77 7968 cyclic(c3,c2,c2,c2). [resolve(7959,a,299,a)].
% 3.44/3.77 7985 cyclic(c5,c2,c3,c2). [resolve(7959,a,125,a)].
% 3.44/3.77 8004 cyclic(c5,c2,c1,c2). [resolve(7960,a,125,a)].
% 3.44/3.77 8075 cyclic(c2,c5,c2,c2). [resolve(7963,a,126,a)].
% 3.44/3.77 8092 cyclic(c5,c2,c5,c2). [resolve(7964,a,125,a)].
% 3.44/3.77 8108 cyclic(c2,c3,c2,c2). [resolve(7968,a,126,a)].
% 3.44/3.77 8143 cyclic(c5,c2,c2,c3). [resolve(7985,a,124,a)].
% 3.44/3.77 8194 cyclic(c5,c2,c2,c1). [resolve(8004,a,124,a)].
% 3.44/3.77 8332 cyclic(c2,c2,c5,c2). [resolve(8075,a,125,a)].
% 3.44/3.77 8333 -cyclic(c2,c2,c5,c5) | cong(c2,c2,c2,c2). [back_unit_del(3456),unit_del(a,8332)].
% 3.44/3.77 8347 cyclic(c5,c2,c2,c5). [resolve(8092,a,124,a)].
% 3.44/3.77 8349 cong(c5,c2,c5,c2). [back_unit_del(7965),unit_del(a,8347)].
% 3.44/3.77 8365 cyclic(c2,c2,c3,c2). [resolve(8108,a,125,a)].
% 3.44/3.77 8420 -cyclic(c5,c2,c2,A) | cyclic(c2,c2,A,c3). [resolve(8143,a,127,b)].
% 3.44/3.77 8474 -cyclic(c5,c2,c2,A) | cyclic(c2,c2,A,c1). [resolve(8194,a,127,b)].
% 3.44/3.77 8669 cyclic(c2,c2,c5,c5). [resolve(8347,a,299,a)].
% 3.44/3.77 8682 cong(c2,c2,c2,c2). [back_unit_del(8333),unit_del(a,8669)].
% 3.44/3.77 8748 cong(c5,c2,c2,c5). [resolve(8349,a,133,a)].
% 3.44/3.77 8757 cong(c5,c5,c5,c2). [back_unit_del(7904),unit_del(a,8748)].
% 3.44/3.77 8759 midp(c2,c2,c2). [back_unit_del(3454),unit_del(b,8757)].
% 3.44/3.77 8797 midp(c2,c5,c5). [resolve(8759,a,641,a)].
% 3.44/3.77 8908 midp(c2,c4,c4). [resolve(8797,a,1828,a)].
% 3.44/3.77 9021 midp(c2,c1,c1). [resolve(8908,a,1163,a)].
% 3.44/3.77 9067 midp(c2,c3,c3). [resolve(9021,a,722,a)].
% 3.44/3.77 9127 cong(c2,c3,c2,c3). [resolve(9067,a,174,a)].
% 3.44/3.77 9169 perp(c3,c2,c2,c2). [resolve(8365,a,163,c),unit_del(a,9127),unit_del(b,8682)].
% 3.44/3.77 10267 cong(c3,c2,c3,c2). [resolve(9169,a,161,b),unit_del(a,8759)].
% 3.44/3.77 11080 midp(c3,c2,c2). [resolve(10267,a,173,a),unit_del(a,1311)].
% 3.44/3.77 11089 midp(c3,c5,c5). [resolve(11080,a,641,a)].
% 3.44/3.77 11108 midp(c3,c4,c4). [resolve(11089,a,1828,a)].
% 3.44/3.77 11126 midp(c3,c1,c1). [resolve(11108,a,1163,a)].
% 3.44/3.77 11147 midp(c1,c1,c3). [resolve(11126,a,778,a),unit_del(a,741)].
% 3.44/3.77 11188 cong(c1,c1,c1,c3). [resolve(11147,a,174,a)].
% 3.44/3.77 12377 perp(c1,c3,c3,c3). [resolve(11188,a,333,c),unit_del(a,741)].
% 3.44/3.77 13615 perp(c3,c3,c1,c3). [resolve(12377,a,119,a)].
% 3.44/3.77 14849 -perp(A,B,c3,c3) | para(A,B,c1,c3). [resolve(13615,a,120,b)].
% 3.44/3.77 22996 cyclic(A,c5,c2,c2). [resolve(2563,a,153,a),unit_del(a,658)].
% 3.44/3.77 22999 cyclic(c5,A,c2,c2). [resolve(22996,a,126,a)].
% 3.44/3.77 23298 cyclic(c5,c2,A,c2). [resolve(22999,a,125,a)].
% 3.44/3.77 23332 cyclic(c5,c2,c2,A). [resolve(23298,a,124,a)].
% 3.44/3.77 23340 cyclic(c2,c2,A,c1). [back_unit_del(8474),unit_del(a,23332)].
% 3.44/3.77 23342 cyclic(c2,c2,A,c3). [back_unit_del(8420),unit_del(a,23332)].
% 3.44/3.77 23545 cyclic(c2,c2,A,B). [resolve(23332,a,127,b),unit_del(a,23332)].
% 3.44/3.77 23570 cyclic(c2,A,B,c1). [resolve(23340,a,127,b),unit_del(a,23545)].
% 3.44/3.77 23577 cyclic(c2,A,B,c3). [resolve(23342,a,127,b),unit_del(a,23545)].
% 3.44/3.77 23935 cyclic(c2,A,B,C). [resolve(23545,a,127,b),unit_del(a,23545)].
% 3.44/3.77 23989 cyclic(A,B,C,c1). [resolve(23570,a,127,b),unit_del(a,23935)].
% 3.44/3.77 23990 cyclic(A,B,c1,C). [resolve(23570,a,127,a),unit_del(a,23935)].
% 3.44/3.77 24003 cyclic(A,B,C,c3). [resolve(23577,a,127,b),unit_del(a,23935)].
% 3.44/3.77 24107 cong(A,c3,A,c3). [resolve(4013,a,154,d),unit_del(a,23990),unit_del(b,24003),unit_del(c,23989)].
% 3.44/3.77 24215 cong(A,c3,c3,A). [resolve(24107,a,133,a)].
% 3.44/3.77 24223 cong(c3,A,A,c3). [resolve(24215,a,134,a)].
% 3.44/3.77 24226 cong(c3,A,c3,A). [resolve(24223,a,133,a)].
% 3.44/3.77 24240 perp(c3,c3,A,B). [resolve(24226,a,162,b),unit_del(a,24226)].
% 3.44/3.77 24424 perp(A,B,c3,c3). [resolve(24240,a,119,a)].
% 3.44/3.77 24431 para(A,B,c1,c3). [back_unit_del(14849),unit_del(a,24424)].
% 3.44/3.77 24432 $F. [resolve(24431,a,213,a)].
% 3.44/3.77
% 3.44/3.77 % SZS output end Refutation
% 3.44/3.77 ============================== end of proof ==========================
% 3.44/3.77
% 3.44/3.77 ============================== STATISTICS ============================
% 3.44/3.77
% 3.44/3.77 Given=6024. Generated=82930. Kept=24300. proofs=1.
% 3.44/3.77 Usable=4910. Sos=7576. Demods=0. Limbo=7, Disabled=11985. Hints=0.
% 3.44/3.77 Megabytes=14.95.
% 3.44/3.77 User_CPU=2.85, System_CPU=0.05, Wall_clock=3.
% 3.44/3.77
% 3.44/3.77 ============================== end of statistics =====================
% 3.44/3.77
% 3.44/3.77 ============================== end of search =========================
% 3.44/3.77
% 3.44/3.77 THEOREM PROVED
% 3.44/3.77 % SZS status Theorem
% 3.44/3.77
% 3.44/3.77 Exiting with 1 proof.
% 3.44/3.77
% 3.44/3.77 Process 24225 exit (max_proofs) Sat Jun 18 10:38:20 2022
% 3.44/3.77 Prover9 interrupted
%------------------------------------------------------------------------------