TSTP Solution File: GEO635+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 05:57:20 EDT 2022
% Result : Theorem 4.32s 4.57s
% Output : Refutation 4.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Fri Jun 17 19:58:38 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.93/1.18 ============================== Prover9 ===============================
% 0.93/1.18 Prover9 (32) version 2009-11A, November 2009.
% 0.93/1.18 Process 17849 was started by sandbox on n004.cluster.edu,
% 0.93/1.18 Fri Jun 17 19:58:39 2022
% 0.93/1.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17696_n004.cluster.edu".
% 0.93/1.18 ============================== end of head ===========================
% 0.93/1.18
% 0.93/1.18 ============================== INPUT =================================
% 0.93/1.18
% 0.93/1.18 % Reading from file /tmp/Prover9_17696_n004.cluster.edu
% 0.93/1.18
% 0.93/1.18 set(prolog_style_variables).
% 0.93/1.18 set(auto2).
% 0.93/1.18 % set(auto2) -> set(auto).
% 0.93/1.18 % set(auto) -> set(auto_inference).
% 0.93/1.18 % set(auto) -> set(auto_setup).
% 0.93/1.18 % set(auto_setup) -> set(predicate_elim).
% 0.93/1.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.93/1.18 % set(auto) -> set(auto_limits).
% 0.93/1.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.93/1.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.93/1.18 % set(auto) -> set(auto_denials).
% 0.93/1.18 % set(auto) -> set(auto_process).
% 0.93/1.18 % set(auto2) -> assign(new_constants, 1).
% 0.93/1.18 % set(auto2) -> assign(fold_denial_max, 3).
% 0.93/1.18 % set(auto2) -> assign(max_weight, "200.000").
% 0.93/1.18 % set(auto2) -> assign(max_hours, 1).
% 0.93/1.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.93/1.18 % set(auto2) -> assign(max_seconds, 0).
% 0.93/1.18 % set(auto2) -> assign(max_minutes, 5).
% 0.93/1.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.93/1.18 % set(auto2) -> set(sort_initial_sos).
% 0.93/1.18 % set(auto2) -> assign(sos_limit, -1).
% 0.93/1.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.93/1.18 % set(auto2) -> assign(max_megs, 400).
% 0.93/1.18 % set(auto2) -> assign(stats, some).
% 0.93/1.18 % set(auto2) -> clear(echo_input).
% 0.93/1.18 % set(auto2) -> set(quiet).
% 0.93/1.18 % set(auto2) -> clear(print_initial_clauses).
% 0.93/1.18 % set(auto2) -> clear(print_given).
% 0.93/1.18 assign(lrs_ticks,-1).
% 0.93/1.18 assign(sos_limit,10000).
% 0.93/1.18 assign(order,kbo).
% 0.93/1.18 set(lex_order_vars).
% 0.93/1.18 clear(print_given).
% 0.93/1.18
% 0.93/1.18 % formulas(sos). % not echoed (95 formulas)
% 0.93/1.18
% 0.93/1.18 ============================== end of input ==========================
% 0.93/1.18
% 0.93/1.18 % From the command line: assign(max_seconds, 300).
% 0.93/1.18
% 0.93/1.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.93/1.18
% 0.93/1.18 % Formulas that are not ordinary clauses:
% 0.93/1.18 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.93/1.18 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.18 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].
% 0.93/1.19 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].
% 0.93/1.19 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.93/1.19 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].
% 0.93/1.19 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.93/1.19 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 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].
% 0.93/1.19 95 -(all A all B all C all D all E all F all G all NWPNT1 all NWPNT2 (circle(D,A,B,C) & coll(E,A,B) & circle(D,A,F,NWPNT1) & eqangle(A,C,C,E,F,C,C,B) & circle(D,C,G,NWPNT2) & coll(G,C,E) -> para(A,B,G,F))) # label(exemplo6GDDFULL8110998) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.93/1.19
% 0.93/1.19 ============================== end of process non-clausal formulas ===
% 0.93/1.19
% 0.93/1.19 ============================== PROCESS INITIAL CLAUSES ===============
% 0.93/1.19
% 0.93/1.19 ============================== PREDICATE ELIMINATION =================
% 0.93/1.19 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)].
% 0.93/1.19 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 100 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.93/1.19 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)].
% 0.93/1.19 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.93/1.19 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)].
% 0.93/1.19 103 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 104 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 105 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 106 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 107 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 108 -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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 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)].
% 0.93/1.19 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 0.93/1.19 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.93/1.19 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.93/1.19 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.93/1.19 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.93/1.19 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.93/1.19 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.93/1.19 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)].
% 2.37/2.63 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)].
% 2.37/2.63 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)].
% 2.37/2.63 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)].
% 2.37/2.63 110 circle(c4,c1,c6,c8) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 2.37/2.63 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c6,c8,c1,c8,c6). [resolve(110,a,96,a)].
% 2.37/2.63 Derived: -eqangle(c1,A,c1,c6,c8,c1,c8,c6) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 2.37/2.63 Derived: -midp(A,c6,c8) | eqangle(c1,c6,c1,c8,c4,c6,c4,A). [resolve(110,a,99,a)].
% 2.37/2.63 Derived: -coll(A,c6,c8) | -eqangle(c1,c6,c1,c8,c4,c6,c4,A) | midp(A,c6,c8). [resolve(110,a,100,a)].
% 2.37/2.63 Derived: -coll(c4,c1,c8) | perp(c1,c6,c6,c8). [resolve(110,a,101,a)].
% 2.37/2.63 Derived: perp(f12(c1,c6,c8,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 2.37/2.63 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f13(c1,c6,c8,A,c4,B),c1,c8). [resolve(110,a,103,a)].
% 2.37/2.63 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f13(c1,c6,c8,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 2.37/2.63 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f14(c1,c6,c8,A,c4,B),c6,A). [resolve(110,a,105,a)].
% 2.37/2.63 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f14(c1,c6,c8,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 2.37/2.63 111 circle(c4,c3,c7,c9) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 2.37/2.63 Derived: -perp(c4,c3,c3,A) | eqangle(c3,A,c3,c7,c9,c3,c9,c7). [resolve(111,a,96,a)].
% 2.37/2.63 Derived: -eqangle(c3,A,c3,c7,c9,c3,c9,c7) | perp(c4,c3,c3,A). [resolve(111,a,98,a)].
% 2.37/2.63 Derived: -midp(A,c7,c9) | eqangle(c3,c7,c3,c9,c4,c7,c4,A). [resolve(111,a,99,a)].
% 2.37/2.63 Derived: -coll(A,c7,c9) | -eqangle(c3,c7,c3,c9,c4,c7,c4,A) | midp(A,c7,c9). [resolve(111,a,100,a)].
% 2.37/2.63 Derived: -coll(c4,c3,c9) | perp(c3,c7,c7,c9). [resolve(111,a,101,a)].
% 2.37/2.63 Derived: perp(f12(c3,c7,c9,c4),c3,c3,c4). [resolve(111,a,102,a)].
% 2.37/2.63 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | coll(f13(c3,c7,c9,A,c4,B),c3,c9). [resolve(111,a,103,a)].
% 2.37/2.63 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | cong(f13(c3,c7,c9,A,c4,B),B,B,c3). [resolve(111,a,104,a)].
% 2.37/2.63 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | coll(f14(c3,c7,c9,A,c4,B),c7,A). [resolve(111,a,105,a)].
% 2.37/2.63 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | cong(f14(c3,c7,c9,A,c4,B),B,B,c3). [resolve(111,a,106,a)].
% 2.37/2.63
% 2.37/2.63 ============================== end predicate elimination =============
% 2.37/2.63
% 2.37/2.63 Auto_denials: (non-Horn, no changes).
% 2.37/2.63
% 2.37/2.63 Term ordering decisions:
% 2.37/2.63 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=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.
% 2.37/2.63
% 2.37/2.63 ============================== end of process initial clauses ========
% 2.37/2.63
% 2.37/2.63 ============================== CLAUSES FOR SEARCH ====================
% 2.37/2.63
% 2.37/2.63 ============================== end of clauses for search =============
% 2.37/2.63
% 2.37/2.63 ============================== SEARCH ================================
% 2.37/2.63
% 2.37/2.63 % Starting search at 0.05 seconds.
% 2.37/2.63
% 2.37/2.63 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1114 (0.00 of 0.13 sec).
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=57.000, iters=3336
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=45.000, iters=3496
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=40.000, iters=3424
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=37.000, iters=3390
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=33.000, iters=3348
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=31.000, iters=3383
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=26.000, iters=3333
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=24.000, iters=3368
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=23.000, iters=3335
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=22.000, iters=3335
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=21.000, iters=3410
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=19.000, iters=3361
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=18.000, iters=3371
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=17.000, iters=3368
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=16.000, iters=3753
% 2.37/2.63
% 2.37/2.63 Low Water (displace): id=7886, wt=57.000
% 2.37/2.63
% 2.37/2.63 Low Water (displace): id=14102, wt=15.000
% 2.37/2.63
% 2.37/2.63 Low Water (displace): id=14104, wt=14.000
% 2.37/2.63
% 2.37/2.63 Low Water (keep): wt=15.000, iters=3340
% 2.37/2.63
% 2.37/2.63 Low Water (displace): id=14752, wt=11.000
% 4.32/4.57
% 4.32/4.57 Low Water (displace): id=14979, wt=10.000
% 4.32/4.57
% 4.32/4.57 Low Water (keep): wt=14.000, iters=3336
% 4.32/4.57
% 4.32/4.57 Low Water (displace): id=15415, wt=7.000
% 4.32/4.57
% 4.32/4.57 Low Water (keep): wt=13.000, iters=3334
% 4.32/4.57
% 4.32/4.57 Low Water (keep): wt=12.000, iters=3344
% 4.32/4.57
% 4.32/4.57 Low Water (displace): id=19524, wt=5.000
% 4.32/4.57
% 4.32/4.57 ============================== PROOF =================================
% 4.32/4.57 % SZS status Theorem
% 4.32/4.57 % SZS output start Refutation
% 4.32/4.57
% 4.32/4.57 % Proof 1 at 3.35 (+ 0.06) seconds.
% 4.32/4.57 % Length of proof is 216.
% 4.32/4.57 % Level of proof is 39.
% 4.32/4.57 % Maximum clause weight is 29.000.
% 4.32/4.57 % Given clauses 7045.
% 4.32/4.57
% 4.32/4.57 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 4.32/4.57 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 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].
% 4.32/4.57 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 4.32/4.57 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].
% 4.32/4.57 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 4.32/4.57 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].
% 4.32/4.57 95 -(all A all B all C all D all E all F all G all NWPNT1 all NWPNT2 (circle(D,A,B,C) & coll(E,A,B) & circle(D,A,F,NWPNT1) & eqangle(A,C,C,E,F,C,C,B) & circle(D,C,G,NWPNT2) & coll(G,C,E) -> para(A,B,G,F))) # label(exemplo6GDDFULL8110998) # label(negated_conjecture) # label(non_clause). [assumption].
% 4.32/4.57 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 4.32/4.57 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 4.32/4.57 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 4.32/4.57 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 4.32/4.57 111 circle(c4,c3,c7,c9) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 4.32/4.57 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 4.32/4.57 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 4.32/4.57 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 4.32/4.57 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 4.32/4.57 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 4.32/4.57 117 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 4.32/4.57 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 4.32/4.57 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 4.32/4.57 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 4.32/4.57 122 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 4.32/4.57 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 4.32/4.57 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 4.32/4.57 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 4.32/4.57 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 4.32/4.57 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 4.32/4.57 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 4.32/4.57 131 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 4.32/4.57 132 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(E,F,V6,V7,V8,V9,V10,V11) | eqangle(A,B,C,D,V8,V9,V10,V11) # label(ruleD22) # label(axiom). [clausify(22)].
% 4.32/4.57 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 4.32/4.57 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 4.32/4.57 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 4.32/4.57 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 4.32/4.57 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 4.32/4.57 154 -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)].
% 4.32/4.57 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 4.32/4.57 159 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 4.32/4.57 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 4.32/4.57 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 4.32/4.57 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 4.32/4.57 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 4.32/4.57 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 4.32/4.57 211 coll(c5,c1,c2) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 4.32/4.57 212 eqangle(c1,c3,c3,c5,c6,c3,c3,c2) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 4.32/4.57 213 coll(c7,c3,c5) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 4.32/4.57 214 -para(c1,c2,c7,c6) # label(exemplo6GDDFULL8110998) # label(negated_conjecture). [clausify(95)].
% 4.32/4.57 219 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 4.32/4.57 257 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 4.32/4.57 258 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 4.32/4.57 286 perp(f12(c3,c7,c9,c4),c3,c3,c4). [resolve(111,a,102,a)].
% 4.32/4.57 295 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 4.32/4.57 300 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(127,a,b)].
% 4.32/4.57 309 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 4.32/4.57 334 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(219,c,d)].
% 4.32/4.57 360 coll(c1,c5,c2). [resolve(211,a,113,a)].
% 4.32/4.57 361 coll(c5,c2,c1). [resolve(211,a,112,a)].
% 4.32/4.57 366 -eqangle(c6,c3,c3,c2,A,B,C,D) | eqangle(c1,c3,c3,c5,A,B,C,D). [resolve(212,a,132,a)].
% 4.32/4.57 367 eqangle(c1,c3,c6,c3,c3,c5,c3,c2). [resolve(212,a,131,a)].
% 4.32/4.57 368 eqangle(c6,c3,c3,c2,c1,c3,c3,c5). [resolve(212,a,130,a)].
% 4.32/4.57 373 coll(c3,c7,c5). [resolve(213,a,113,a)].
% 4.32/4.57 374 coll(c7,c5,c3). [resolve(213,a,112,a)].
% 4.32/4.57 395 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(258,a,120,b)].
% 4.32/4.57 397 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(258,a,119,a)].
% 4.32/4.57 445 -perp(A,B,f12(c3,c7,c9,c4),c3) | para(A,B,c3,c4). [resolve(286,a,120,b)].
% 4.32/4.57 447 perp(c3,c4,f12(c3,c7,c9,c4),c3). [resolve(286,a,119,a)].
% 4.32/4.57 450 coll(c5,c5,c7). [resolve(295,a,213,a)].
% 4.32/4.57 451 coll(c2,c2,c5). [resolve(295,a,211,a)].
% 4.32/4.57 452 coll(c2,c2,c1). [resolve(360,a,295,a)].
% 4.32/4.57 455 coll(c1,c2,c5). [resolve(360,a,112,a)].
% 4.32/4.57 456 coll(c1,c1,c5). [resolve(361,a,295,a)].
% 4.32/4.57 460 coll(c5,c5,c3). [resolve(373,a,295,a)].
% 4.32/4.57 465 -coll(c7,c5,A) | coll(A,c3,c7). [resolve(374,a,114,b)].
% 4.32/4.57 466 -coll(c7,c5,A) | coll(c3,A,c7). [resolve(374,a,114,a)].
% 4.32/4.57 469 -coll(c5,c5,A) | coll(A,c7,c5). [resolve(450,a,114,b)].
% 4.32/4.57 470 -coll(c5,c5,A) | coll(c7,A,c5). [resolve(450,a,114,a)].
% 4.32/4.57 472 coll(c5,c5,c2). [resolve(451,a,295,a)].
% 4.32/4.57 475 coll(c2,c5,c2). [resolve(451,a,112,a)].
% 4.32/4.57 476 coll(c1,c1,c2). [resolve(452,a,295,a)].
% 4.32/4.57 480 coll(c5,c5,c1). [resolve(455,a,295,a)].
% 4.32/4.57 484 -coll(c1,c1,A) | coll(A,c5,c1). [resolve(456,a,114,b)].
% 4.32/4.57 492 coll(c5,c3,c5). [resolve(460,a,112,a)].
% 4.32/4.57 511 coll(c5,c2,c5). [resolve(472,a,112,a)].
% 4.32/4.57 515 coll(c5,c2,c2). [resolve(475,a,113,a)].
% 4.32/4.57 536 coll(c3,c5,c5). [resolve(492,a,113,a)].
% 4.32/4.57 548 -eqangle(A,B,C,D,c1,c3,c6,c3) | eqangle(A,B,C,D,c3,c5,c3,c2). [resolve(367,a,132,b)].
% 4.32/4.57 550 eqangle(c3,c5,c3,c2,c1,c3,c6,c3). [resolve(367,a,130,a)].
% 4.32/4.57 562 coll(c2,c5,c5). [resolve(511,a,113,a)].
% 4.32/4.57 563 eqangle(c1,c3,c3,c5,c1,c3,c3,c5). [resolve(368,a,366,a)].
% 4.32/4.57 621 coll(c1,c7,c5). [resolve(469,a,480,a)].
% 4.32/4.57 622 coll(c2,c7,c5). [resolve(469,a,472,a)].
% 4.32/4.57 625 coll(c7,c1,c5). [resolve(621,a,113,a)].
% 4.32/4.57 629 coll(c7,c2,c5). [resolve(622,a,113,a)].
% 4.32/4.57 633 coll(c7,c5,c1). [resolve(625,a,112,a)].
% 4.32/4.57 642 coll(c7,c5,c2). [resolve(629,a,112,a)].
% 4.32/4.57 647 coll(c3,c1,c7). [resolve(633,a,466,a)].
% 4.32/4.57 665 coll(c2,c3,c7). [resolve(642,a,465,a)].
% 4.32/4.57 677 coll(c3,c7,c1). [resolve(647,a,112,a)].
% 4.32/4.57 700 coll(c2,c7,c3). [resolve(665,a,112,a)].
% 4.32/4.57 711 coll(c1,c1,c3). [resolve(677,a,295,a)].
% 4.32/4.57 712 -coll(c3,c7,A) | coll(A,c1,c3). [resolve(677,a,114,b)].
% 4.32/4.57 734 coll(c3,c3,c2). [resolve(700,a,295,a)].
% 4.32/4.57 755 coll(c1,c3,c1). [resolve(711,a,112,a)].
% 4.32/4.57 838 para(c1,c4,c1,c4). [resolve(397,a,395,a)].
% 4.32/4.57 862 coll(c1,c4,c4). [resolve(838,a,172,a)].
% 4.32/4.57 865 eqangle(c1,c4,A,B,c1,c4,A,B). [resolve(838,a,150,a)].
% 4.32/4.57 867 coll(c4,c4,c1). [resolve(862,a,295,a)].
% 4.32/4.57 875 coll(c1,c1,c4). [resolve(867,a,295,a)].
% 4.32/4.57 905 coll(c4,c5,c1). [resolve(875,a,484,a)].
% 4.32/4.57 917 coll(c4,c1,c5). [resolve(905,a,112,a)].
% 4.32/4.57 926 coll(c5,c5,c4). [resolve(917,a,295,a)].
% 4.32/4.57 940 coll(c7,c4,c5). [resolve(926,a,470,a)].
% 4.32/4.57 966 coll(c7,c5,c4). [resolve(940,a,112,a)].
% 4.32/4.58 1010 coll(c3,c4,c7). [resolve(966,a,466,a)].
% 4.32/4.58 1070 coll(c3,c7,c4). [resolve(1010,a,112,a)].
% 4.32/4.58 1402 para(c3,c4,c3,c4). [resolve(447,a,445,a)].
% 4.32/4.58 1419 -midp(A,c3,c3) | midp(A,c4,c4). [resolve(1402,a,309,b)].
% 4.32/4.58 1496 coll(c4,c1,c3). [resolve(712,a,1070,a)].
% 4.32/4.58 1497 perp(c1,c2,c2,c3). [back_unit_del(257),unit_del(a,1496)].
% 4.32/4.58 1547 -midp(A,c1,c3) | cong(c1,A,c2,A). [resolve(1497,a,159,a)].
% 4.32/4.58 1548 -perp(A,B,c1,c2) | para(A,B,c2,c3). [resolve(1497,a,120,b)].
% 4.32/4.58 1549 -perp(c2,c3,A,B) | para(c1,c2,A,B). [resolve(1497,a,120,a)].
% 4.32/4.58 1550 perp(c2,c3,c1,c2). [resolve(1497,a,119,a)].
% 4.32/4.58 1565 perp(c2,c3,c2,c1). [resolve(1550,a,118,a)].
% 4.32/4.58 1567 eqangle(c3,c5,c3,c2,c3,c5,c3,c2). [resolve(550,a,548,a)].
% 4.32/4.58 1673 para(c1,c3,c1,c3). [resolve(563,a,149,a)].
% 4.32/4.58 1689 para(c1,c3,c3,c1). [resolve(1673,a,115,a)].
% 4.32/4.58 1705 para(c3,c1,c1,c3). [resolve(1689,a,116,a)].
% 4.32/4.58 1721 para(c3,c1,c3,c1). [resolve(1705,a,115,a)].
% 4.32/4.58 1732 -midp(c3,A,c3) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(1721,a,156,b)].
% 4.32/4.58 2362 eqangle(A,B,c1,c4,A,B,c1,c4). [resolve(865,a,129,a)].
% 4.32/4.58 10292 para(c2,c3,c2,c3). [resolve(1548,a,1550,a)].
% 4.32/4.58 10315 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(10292,a,309,b)].
% 4.32/4.58 10352 para(c1,c2,c2,c1). [resolve(1549,a,1565,a)].
% 4.32/4.58 10368 -para(c2,c1,A,B) | para(c1,c2,A,B). [resolve(10352,a,117,a)].
% 4.32/4.58 10584 -cyclic(c5,c2,c3,c5) | -cyclic(c5,c2,c3,c2) | -cyclic(c5,c2,c3,c3) | cong(c5,c2,c5,c2). [resolve(1567,a,154,d)].
% 4.32/4.58 10585 cyclic(c5,c2,c3,c3). [resolve(1567,a,153,a),unit_del(a,734)].
% 4.32/4.58 10586 para(c3,c5,c3,c5). [resolve(1567,a,149,a)].
% 4.32/4.58 10589 -cyclic(c5,c2,c3,c5) | -cyclic(c5,c2,c3,c2) | cong(c5,c2,c5,c2). [back_unit_del(10584),unit_del(c,10585)].
% 4.32/4.58 10599 cyclic(c2,c5,c3,c3). [resolve(10585,a,126,a)].
% 4.32/4.58 10600 cyclic(c5,c3,c2,c3). [resolve(10585,a,125,a)].
% 4.32/4.58 10609 para(c3,c5,c5,c3). [resolve(10586,a,115,a)].
% 4.32/4.58 10627 cyclic(c2,c3,c5,c3). [resolve(10599,a,125,a)].
% 4.32/4.58 10634 cyclic(c3,c5,c2,c3). [resolve(10600,a,126,a)].
% 4.32/4.58 10647 para(c5,c3,c3,c5). [resolve(10609,a,116,a)].
% 4.32/4.58 10668 cyclic(c3,c2,c5,c3). [resolve(10627,a,126,a)].
% 4.32/4.58 10677 cyclic(c3,c5,c3,c2). [resolve(10634,a,124,a)].
% 4.32/4.58 10696 para(c5,c3,c5,c3). [resolve(10647,a,115,a)].
% 4.32/4.58 10717 cyclic(c3,c2,c3,c5). [resolve(10668,a,124,a)].
% 4.32/4.58 10725 cyclic(c5,c3,c2,c2). [resolve(10677,a,300,a)].
% 4.32/4.58 10744 -midp(A,c5,c5) | midp(A,c3,c3). [resolve(10696,a,309,b)].
% 4.32/4.58 10766 cyclic(c2,c3,c5,c5). [resolve(10717,a,300,a)].
% 4.32/4.58 10797 cyclic(c5,c2,c3,c2). [resolve(10725,a,125,a)].
% 4.32/4.58 10798 -cyclic(c5,c2,c3,c5) | cong(c5,c2,c5,c2). [back_unit_del(10589),unit_del(b,10797)].
% 4.32/4.58 10834 cyclic(c2,c5,c3,c5). [resolve(10766,a,125,a)].
% 4.32/4.58 10913 cyclic(c5,c2,c3,c5). [resolve(10834,a,126,a)].
% 4.32/4.58 10915 cong(c5,c2,c5,c2). [back_unit_del(10798),unit_del(a,10913)].
% 4.32/4.58 11059 midp(c5,c2,c2). [resolve(10915,a,173,a),unit_del(a,515)].
% 4.32/4.58 11063 cong(c5,c2,c2,c5). [resolve(10915,a,133,a)].
% 4.32/4.58 11234 cong(c2,c5,c5,c2). [resolve(11063,a,134,a)].
% 4.32/4.58 11332 cong(c2,c5,c2,c5). [resolve(11234,a,133,a)].
% 4.32/4.58 11432 midp(c2,c5,c5). [resolve(11332,a,173,a),unit_del(a,562)].
% 4.32/4.58 13133 midp(c5,c3,c3). [resolve(10315,a,11059,a)].
% 4.32/4.58 13153 cong(c5,c3,c5,c3). [resolve(13133,a,174,a)].
% 4.32/4.58 13268 cong(c5,c3,c3,c5). [resolve(13153,a,133,a)].
% 4.32/4.58 13494 cong(c3,c5,c5,c3). [resolve(13268,a,134,a)].
% 4.32/4.58 13712 cong(c3,c5,c3,c5). [resolve(13494,a,133,a)].
% 4.32/4.58 13869 midp(c3,c5,c5). [resolve(13712,a,173,a),unit_del(a,536)].
% 4.32/4.58 15698 midp(c3,c3,c3). [resolve(10744,a,13869,a)].
% 4.32/4.58 15699 midp(c2,c3,c3). [resolve(10744,a,11432,a)].
% 4.32/4.58 15798 midp(c1,c3,c1). [resolve(15698,a,1732,a),unit_del(a,755)].
% 4.32/4.58 15840 midp(c2,c4,c4). [resolve(15699,a,1419,a)].
% 4.32/4.58 16164 midp(c1,c1,c3). [resolve(15798,a,122,a)].
% 4.32/4.58 16375 cong(c1,c1,c2,c1). [resolve(16164,a,1547,a)].
% 4.32/4.58 17404 cong(c1,c1,c1,c2). [resolve(16375,a,133,a)].
% 4.32/4.58 18261 perp(c1,c2,c2,c2). [resolve(17404,a,334,c),unit_del(a,476)].
% 4.32/4.58 19194 perp(c2,c2,c1,c2). [resolve(18261,a,119,a)].
% 4.32/4.58 19984 para(A,B,A,B). [resolve(2362,a,149,a)].
% 4.32/4.58 20055 perp(c2,c2,c2,c1). [resolve(19194,a,118,a)].
% 4.32/4.58 20412 -midp(A,B,B) | midp(A,C,C). [resolve(19984,a,309,b)].
% 4.32/4.58 21041 perp(c2,c1,c2,c2). [resolve(20055,a,119,a)].
% 4.32/4.58 21351 -perp(c2,c2,A,B) | para(c2,c1,A,B). [resolve(21041,a,120,a)].
% 4.32/4.58 24290 midp(c2,A,A). [resolve(20412,a,15840,a)].
% 4.32/4.58 24301 cong(c2,A,c2,A). [resolve(24290,a,174,a)].
% 4.32/4.58 24521 perp(c2,c2,A,B). [resolve(24301,a,162,b),unit_del(a,24301)].
% 4.32/4.58 24530 para(c2,c1,A,B). [back_unit_del(21351),unit_del(a,24521)].
% 4.32/4.58 24560 para(c1,c2,A,B). [back_unit_del(10368),unit_del(a,24530)].
% 4.32/4.58 24561 $F. [resolve(24560,a,214,a)].
% 4.32/4.58
% 4.32/4.58 % SZS output end Refutation
% 4.32/4.58 ============================== end of proof ==========================
% 4.32/4.58
% 4.32/4.58 ============================== STATISTICS ============================
% 4.32/4.58
% 4.32/4.58 Given=7045. Generated=90069. Kept=24429. proofs=1.
% 4.32/4.58 Usable=5959. Sos=7010. Demods=0. Limbo=30, Disabled=11609. Hints=0.
% 4.32/4.58 Megabytes=16.06.
% 4.32/4.58 User_CPU=3.35, System_CPU=0.06, Wall_clock=4.
% 4.32/4.58
% 4.32/4.58 ============================== end of statistics =====================
% 4.32/4.58
% 4.32/4.58 ============================== end of search =========================
% 4.32/4.58
% 4.32/4.58 THEOREM PROVED
% 4.32/4.58 % SZS status Theorem
% 4.32/4.58
% 4.32/4.58 Exiting with 1 proof.
% 4.32/4.58
% 4.32/4.58 Process 17849 exit (max_proofs) Fri Jun 17 19:58:43 2022
% 4.32/4.58 Prover9 interrupted
%------------------------------------------------------------------------------