TSTP Solution File: GEO575+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 05:57:02 EDT 2022
% Result : Theorem 9.07s 9.40s
% Output : Refutation 9.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 18:04:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.46/1.20 ============================== Prover9 ===============================
% 0.46/1.20 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.20 Process 24620 was started by sandbox2 on n012.cluster.edu,
% 0.46/1.20 Fri Jun 17 18:04:24 2022
% 0.46/1.20 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24467_n012.cluster.edu".
% 0.46/1.20 ============================== end of head ===========================
% 0.46/1.20
% 0.46/1.20 ============================== INPUT =================================
% 0.46/1.20
% 0.46/1.20 % Reading from file /tmp/Prover9_24467_n012.cluster.edu
% 0.46/1.20
% 0.46/1.20 set(prolog_style_variables).
% 0.46/1.20 set(auto2).
% 0.46/1.20 % set(auto2) -> set(auto).
% 0.46/1.20 % set(auto) -> set(auto_inference).
% 0.46/1.20 % set(auto) -> set(auto_setup).
% 0.46/1.20 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.20 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.20 % set(auto) -> set(auto_limits).
% 0.46/1.20 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.20 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.20 % set(auto) -> set(auto_denials).
% 0.46/1.20 % set(auto) -> set(auto_process).
% 0.46/1.20 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.20 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.20 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.20 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.20 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.20 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.20 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.20 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.20 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.20 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.20 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.20 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.20 % set(auto2) -> assign(stats, some).
% 0.46/1.20 % set(auto2) -> clear(echo_input).
% 0.46/1.20 % set(auto2) -> set(quiet).
% 0.46/1.20 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.20 % set(auto2) -> clear(print_given).
% 0.46/1.20 assign(lrs_ticks,-1).
% 0.46/1.20 assign(sos_limit,10000).
% 0.46/1.20 assign(order,kbo).
% 0.46/1.20 set(lex_order_vars).
% 0.46/1.20 clear(print_given).
% 0.46/1.20
% 0.46/1.20 % formulas(sos). % not echoed (95 formulas)
% 0.46/1.20
% 0.46/1.20 ============================== end of input ==========================
% 0.46/1.20
% 0.46/1.20 % From the command line: assign(max_seconds, 300).
% 0.46/1.20
% 0.46/1.20 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.20
% 0.46/1.20 % Formulas that are not ordinary clauses:
% 0.46/1.20 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.20 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.20 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].
% 0.46/1.21 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].
% 0.46/1.21 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.21 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].
% 0.46/1.21 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.21 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 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].
% 0.46/1.21 95 -(all A all B all C all O all H all C1 all A1 all NWPNT1 all NWPNT2 (circle(O,A,B,C) & perp(A,B,C,H) & perp(A,C,B,H) & perp(B,C,A,H) & circle(O,C,C1,NWPNT1) & coll(C1,C,H) & circle(O,A,A1,NWPNT2) & coll(A1,A,H) -> cong(B,A1,B,C1))) # label(exemplo6GDDFULL214037) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.46/1.21
% 0.46/1.21 ============================== end of process non-clausal formulas ===
% 0.46/1.21
% 0.46/1.21 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.21
% 0.46/1.21 ============================== PREDICATE ELIMINATION =================
% 0.46/1.21 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)].
% 0.46/1.21 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 100 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.46/1.21 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)].
% 0.46/1.21 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.46/1.21 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)].
% 0.46/1.21 103 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 104 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 105 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 106 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 107 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 108 -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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 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)].
% 0.46/1.21 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 0.46/1.21 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.46/1.21 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.46/1.21 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.46/1.21 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.46/1.21 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.46/1.21 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.46/1.21 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)].
% 9.07/9.40 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)].
% 9.07/9.40 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)].
% 9.07/9.40 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)].
% 9.07/9.40 110 circle(c4,c3,c6,c8) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 Derived: -perp(c4,c3,c3,A) | eqangle(c3,A,c3,c6,c8,c3,c8,c6). [resolve(110,a,96,a)].
% 9.07/9.40 Derived: -eqangle(c3,A,c3,c6,c8,c3,c8,c6) | perp(c4,c3,c3,A). [resolve(110,a,98,a)].
% 9.07/9.40 Derived: -midp(A,c6,c8) | eqangle(c3,c6,c3,c8,c4,c6,c4,A). [resolve(110,a,99,a)].
% 9.07/9.40 Derived: -coll(A,c6,c8) | -eqangle(c3,c6,c3,c8,c4,c6,c4,A) | midp(A,c6,c8). [resolve(110,a,100,a)].
% 9.07/9.40 Derived: -coll(c4,c3,c8) | perp(c3,c6,c6,c8). [resolve(110,a,101,a)].
% 9.07/9.40 Derived: perp(f12(c3,c6,c8,c4),c3,c3,c4). [resolve(110,a,102,a)].
% 9.07/9.40 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | coll(f13(c3,c6,c8,A,c4,B),c3,c8). [resolve(110,a,103,a)].
% 9.07/9.40 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | cong(f13(c3,c6,c8,A,c4,B),B,B,c3). [resolve(110,a,104,a)].
% 9.07/9.40 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | coll(f14(c3,c6,c8,A,c4,B),c6,A). [resolve(110,a,105,a)].
% 9.07/9.40 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c6) | B = c4 | cong(f14(c3,c6,c8,A,c4,B),B,B,c3). [resolve(110,a,106,a)].
% 9.07/9.40 111 circle(c4,c1,c7,c9) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c7,c9,c1,c9,c7). [resolve(111,a,96,a)].
% 9.07/9.40 Derived: -eqangle(c1,A,c1,c7,c9,c1,c9,c7) | perp(c4,c1,c1,A). [resolve(111,a,98,a)].
% 9.07/9.40 Derived: -midp(A,c7,c9) | eqangle(c1,c7,c1,c9,c4,c7,c4,A). [resolve(111,a,99,a)].
% 9.07/9.40 Derived: -coll(A,c7,c9) | -eqangle(c1,c7,c1,c9,c4,c7,c4,A) | midp(A,c7,c9). [resolve(111,a,100,a)].
% 9.07/9.40 Derived: -coll(c4,c1,c9) | perp(c1,c7,c7,c9). [resolve(111,a,101,a)].
% 9.07/9.40 Derived: perp(f12(c1,c7,c9,c4),c1,c1,c4). [resolve(111,a,102,a)].
% 9.07/9.40 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f13(c1,c7,c9,A,c4,B),c1,c9). [resolve(111,a,103,a)].
% 9.07/9.40 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f13(c1,c7,c9,A,c4,B),B,B,c1). [resolve(111,a,104,a)].
% 9.07/9.40 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f14(c1,c7,c9,A,c4,B),c7,A). [resolve(111,a,105,a)].
% 9.07/9.40 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f14(c1,c7,c9,A,c4,B),B,B,c1). [resolve(111,a,106,a)].
% 9.07/9.40
% 9.07/9.40 ============================== end predicate elimination =============
% 9.07/9.40
% 9.07/9.40 Auto_denials: (non-Horn, no changes).
% 9.07/9.40
% 9.07/9.40 Term ordering decisions:
% 9.07/9.40 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.
% 9.07/9.40
% 9.07/9.40 ============================== end of process initial clauses ========
% 9.07/9.40
% 9.07/9.40 ============================== CLAUSES FOR SEARCH ====================
% 9.07/9.40
% 9.07/9.40 ============================== end of clauses for search =============
% 9.07/9.40
% 9.07/9.40 ============================== SEARCH ================================
% 9.07/9.40
% 9.07/9.40 % Starting search at 0.05 seconds.
% 9.07/9.40
% 9.07/9.40 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.16 sec).
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=26.000, iters=3366
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=25.000, iters=3371
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=22.000, iters=3396
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=21.000, iters=3351
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=20.000, iters=3335
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=18.000, iters=3340
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=17.000, iters=3345
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=16.000, iters=3338
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=15.000, iters=3428
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=14.000, iters=3363
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=13.000, iters=3428
% 9.07/9.40
% 9.07/9.40 Low Water (keep): wt=12.000, iters=3333
% 9.07/9.40
% 9.07/9.40 Low Water (displace): id=14297, wt=8.000
% 9.07/9.40
% 9.07/9.40 ============================== PROOF =================================
% 9.07/9.40 % SZS status Theorem
% 9.07/9.40 % SZS output start Refutation
% 9.07/9.40
% 9.07/9.40 % Proof 1 at 8.14 (+ 0.08) seconds.
% 9.07/9.40 % Length of proof is 278.
% 9.07/9.40 % Level of proof is 30.
% 9.07/9.40 % Maximum clause weight is 29.000.
% 9.07/9.40 % Given clauses 13221.
% 9.07/9.40
% 9.07/9.40 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 9.07/9.40 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 9.07/9.40 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 9.07/9.40 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].
% 9.07/9.40 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].
% 9.07/9.40 95 -(all A all B all C all O all H all C1 all A1 all NWPNT1 all NWPNT2 (circle(O,A,B,C) & perp(A,B,C,H) & perp(A,C,B,H) & perp(B,C,A,H) & circle(O,C,C1,NWPNT1) & coll(C1,C,H) & circle(O,A,A1,NWPNT2) & coll(A1,A,H) -> cong(B,A1,B,C1))) # label(exemplo6GDDFULL214037) # label(negated_conjecture) # label(non_clause). [assumption].
% 9.07/9.40 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 9.07/9.40 100 -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)].
% 9.07/9.40 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 9.07/9.40 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 9.07/9.40 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 110 circle(c4,c3,c6,c8) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 9.07/9.40 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 9.07/9.40 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 9.07/9.40 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 9.07/9.40 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 9.07/9.40 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 9.07/9.40 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 9.07/9.40 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 9.07/9.40 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 9.07/9.40 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 9.07/9.40 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 9.07/9.40 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 9.07/9.40 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 9.07/9.40 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 9.07/9.40 131 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 9.07/9.40 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 9.07/9.40 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 9.07/9.40 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 9.07/9.40 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 9.07/9.40 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 9.07/9.40 154 -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)].
% 9.07/9.40 155 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 9.07/9.40 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 9.07/9.40 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 9.07/9.40 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 9.07/9.40 163 -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)].
% 9.07/9.40 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 9.07/9.40 171 -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)].
% 9.07/9.40 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 9.07/9.40 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 9.07/9.40 180 -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)].
% 9.07/9.40 211 perp(c1,c2,c3,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 212 perp(c1,c3,c2,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 213 perp(c2,c3,c1,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 214 coll(c6,c3,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 215 coll(c7,c1,c5) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 216 -cong(c2,c7,c2,c6) # label(exemplo6GDDFULL214037) # label(negated_conjecture). [clausify(95)].
% 9.07/9.40 220 -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)].
% 9.07/9.40 259 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 9.07/9.40 260 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 9.07/9.40 274 perp(f12(c3,c6,c8,c4),c3,c3,c4). [resolve(110,a,102,a)].
% 9.07/9.40 297 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 9.07/9.40 303 -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)].
% 9.07/9.40 305 -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)].
% 9.07/9.40 306 -midp(A,B,C) | para(A,A,C,C). [factor(155,a,b)].
% 9.07/9.40 308 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(163,a,b)].
% 9.07/9.40 311 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 9.07/9.40 335 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(220,d,e)].
% 9.07/9.40 352 -cyclic(A,B,C,D) | -eqangle(C,A,C,B,D,D,D,D) | cong(A,B,D,D). [factor(303,a,b)].
% 9.07/9.40 371 -perp(A,B,c1,c2) | para(A,B,c3,c5). [resolve(211,a,120,b)].
% 9.07/9.40 372 -perp(c3,c5,A,B) | para(c1,c2,A,B). [resolve(211,a,120,a)].
% 9.07/9.40 373 perp(c3,c5,c1,c2). [resolve(211,a,119,a)].
% 9.07/9.40 386 -perp(A,B,c1,c3) | para(A,B,c2,c5). [resolve(212,a,120,b)].
% 9.07/9.40 388 perp(c2,c5,c1,c3). [resolve(212,a,119,a)].
% 9.07/9.40 393 -perp(A,B,c2,c3) | para(A,B,c1,c5). [resolve(213,a,120,b)].
% 9.07/9.40 394 -perp(c1,c5,A,B) | para(c2,c3,A,B). [resolve(213,a,120,a)].
% 9.07/9.40 395 perp(c1,c5,c2,c3). [resolve(213,a,119,a)].
% 9.07/9.40 396 perp(c2,c3,c5,c1). [resolve(213,a,118,a)].
% 9.07/9.40 399 coll(c3,c6,c5). [resolve(214,a,113,a)].
% 9.07/9.40 404 coll(c7,c5,c1). [resolve(215,a,112,a)].
% 9.07/9.40 425 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(260,a,120,b)].
% 9.07/9.40 427 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(260,a,119,a)].
% 9.07/9.40 450 -perp(A,B,f12(c3,c6,c8,c4),c3) | para(A,B,c3,c4). [resolve(274,a,120,b)].
% 9.07/9.40 452 perp(c3,c4,f12(c3,c6,c8,c4),c3). [resolve(274,a,119,a)].
% 9.07/9.40 480 coll(c5,c5,c7). [resolve(297,a,215,a)].
% 9.07/9.40 482 coll(c5,c5,c3). [resolve(399,a,297,a)].
% 9.07/9.40 494 coll(c1,c1,c7). [resolve(404,a,297,a)].
% 9.07/9.40 495 -coll(c7,c5,A) | coll(A,c1,c7). [resolve(404,a,114,b)].
% 9.07/9.40 496 -coll(c7,c5,A) | coll(c1,A,c7). [resolve(404,a,114,a)].
% 9.07/9.40 499 -coll(c5,c5,A) | coll(A,c7,c5). [resolve(480,a,114,b)].
% 9.07/9.40 501 coll(c5,c7,c5). [resolve(480,a,112,a)].
% 9.07/9.40 527 -coll(c1,c1,A) | coll(A,c7,c1). [resolve(494,a,114,b)].
% 9.07/9.40 529 coll(c1,c7,c1). [resolve(494,a,112,a)].
% 9.07/9.40 535 coll(c5,c5,c5). [resolve(501,a,297,a)].
% 9.07/9.40 571 coll(c1,c1,c1). [resolve(529,a,297,a)].
% 9.07/9.40 624 para(c1,c2,c1,c2). [resolve(373,a,372,a)].
% 9.07/9.40 625 para(c3,c5,c3,c5). [resolve(373,a,371,a)].
% 9.07/9.40 638 -perp(c1,c2,A,B) | para(c3,c5,A,B). [resolve(373,a,120,a)].
% 9.07/9.40 715 -perp(A,B,c2,c3) | para(A,B,c5,c1). [resolve(396,a,120,b)].
% 9.07/9.40 717 perp(c5,c1,c2,c3). [resolve(396,a,119,a)].
% 9.07/9.40 742 coll(c1,c2,c2). [resolve(624,a,172,a)].
% 9.07/9.40 743 -coll(A,c1,c1) | -coll(A,c2,c2) | eqratio(A,c1,c1,c1,A,c2,c2,c2). [resolve(624,a,171,a)].
% 9.07/9.40 745 eqangle(c1,c2,A,B,c1,c2,A,B). [resolve(624,a,150,a)].
% 9.07/9.40 746 para(c1,c2,c2,c1). [resolve(624,a,115,a)].
% 9.07/9.40 747 coll(c2,c2,c1). [resolve(742,a,297,a)].
% 9.07/9.40 750 coll(c2,c1,c2). [resolve(742,a,113,a)].
% 9.07/9.40 753 coll(c1,c1,c2). [resolve(747,a,297,a)].
% 9.07/9.40 755 -coll(c2,c2,A) | coll(c1,A,c2). [resolve(747,a,114,a)].
% 9.07/9.40 756 coll(c2,c2,c2). [resolve(750,a,297,a)].
% 9.07/9.40 776 coll(c1,c2,c1). [resolve(753,a,112,a)].
% 9.07/9.40 780 coll(c2,c1,c1). [resolve(776,a,113,a)].
% 9.07/9.40 799 eqangle(c3,c5,A,B,c3,c5,A,B). [resolve(625,a,150,a)].
% 9.07/9.40 890 para(c2,c1,c1,c2). [resolve(746,a,116,a)].
% 9.07/9.40 1045 para(c2,c1,c2,c1). [resolve(890,a,115,a)].
% 9.07/9.40 1089 eqangle(c2,c1,A,B,c2,c1,A,B). [resolve(1045,a,150,a)].
% 9.07/9.40 1090 coll(c3,c7,c5). [resolve(499,a,482,a)].
% 9.07/9.40 1094 coll(c7,c3,c5). [resolve(1090,a,113,a)].
% 9.07/9.40 1097 para(c2,c5,c2,c5). [resolve(386,a,388,a)].
% 9.07/9.40 1104 coll(c7,c5,c3). [resolve(1094,a,112,a)].
% 9.07/9.40 1120 coll(c1,c3,c7). [resolve(1104,a,496,a)].
% 9.07/9.40 1121 coll(c3,c1,c7). [resolve(1104,a,495,a)].
% 9.07/9.40 1150 coll(c1,c7,c3). [resolve(1120,a,112,a)].
% 9.07/9.40 1153 coll(c3,c7,c1). [resolve(1121,a,112,a)].
% 9.07/9.40 1168 para(c5,c1,c1,c5). [resolve(393,a,717,a)].
% 9.07/9.40 1182 para(c2,c3,c2,c3). [resolve(394,a,395,a)].
% 9.07/9.40 1189 -coll(c1,c7,A) | coll(A,c3,c1). [resolve(1150,a,114,b)].
% 9.07/9.40 1192 coll(c1,c1,c3). [resolve(1153,a,297,a)].
% 9.07/9.40 1343 eqangle(c2,c5,A,B,c2,c5,A,B). [resolve(1097,a,150,a)].
% 9.07/9.40 1481 para(c5,c1,c5,c1). [resolve(1168,a,115,a)].
% 9.07/9.40 1512 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(1182,a,311,b)].
% 9.07/9.40 1560 para(c1,c4,c1,c4). [resolve(427,a,425,a)].
% 9.07/9.40 1620 -midp(A,c5,c5) | midp(A,c1,c1). [resolve(1481,a,311,b)].
% 9.07/9.40 1629 eqangle(c5,c1,A,B,c5,c1,A,B). [resolve(1481,a,150,a)].
% 9.07/9.40 1677 coll(c1,c4,c4). [resolve(1560,a,172,a)].
% 9.07/9.40 1682 coll(c4,c4,c1). [resolve(1677,a,297,a)].
% 9.07/9.40 1690 coll(c1,c1,c4). [resolve(1682,a,297,a)].
% 9.07/9.40 1859 coll(c4,c7,c1). [resolve(527,a,1690,a)].
% 9.07/9.40 1866 coll(c7,c4,c1). [resolve(1859,a,113,a)].
% 9.07/9.40 1870 coll(c7,c1,c4). [resolve(1866,a,112,a)].
% 9.07/9.40 1884 coll(c1,c7,c4). [resolve(1870,a,113,a)].
% 9.07/9.40 2068 para(c3,c4,c3,c4). [resolve(452,a,450,a)].
% 9.07/9.40 2175 -midp(A,c3,c3) | midp(A,c4,c4). [resolve(2068,a,311,b)].
% 9.07/9.40 3018 coll(c4,c3,c1). [resolve(1189,a,1884,a)].
% 9.07/9.40 3044 coll(c4,c1,c3). [resolve(3018,a,112,a)].
% 9.07/9.40 3045 perp(c1,c2,c2,c3). [back_unit_del(259),unit_del(a,3044)].
% 9.07/9.40 3080 para(c3,c5,c2,c3). [resolve(3045,a,638,a)].
% 9.07/9.40 3081 para(c1,c2,c1,c5). [resolve(3045,a,393,a)].
% 9.07/9.40 3105 perp(c2,c3,c1,c2). [resolve(3045,a,119,a)].
% 9.07/9.40 3124 para(c3,c5,c3,c2). [resolve(3080,a,115,a)].
% 9.07/9.40 3142 para(c1,c2,c5,c1). [resolve(3081,a,115,a)].
% 9.07/9.40 3159 perp(c2,c3,c2,c1). [resolve(3105,a,118,a)].
% 9.07/9.40 3209 -midp(A,c3,c3) | -para(c3,c2,c3,c5) | midp(A,c2,c5). [resolve(3124,a,170,c)].
% 9.07/9.40 3216 para(c3,c2,c3,c5). [resolve(3124,a,116,a)].
% 9.07/9.40 3218 -midp(A,c3,c3) | midp(A,c2,c5). [back_unit_del(3209),unit_del(b,3216)].
% 9.07/9.40 3250 para(c5,c1,c1,c2). [resolve(3142,a,116,a)].
% 9.07/9.40 3277 -perp(c2,c1,A,B) | para(c2,c3,A,B). [resolve(3159,a,120,a)].
% 9.07/9.40 3278 perp(c2,c1,c2,c3). [resolve(3159,a,119,a)].
% 9.07/9.40 3334 -perp(c1,c2,A,B) | perp(c5,c1,A,B). [resolve(3250,a,121,a)].
% 9.07/9.40 3337 para(c5,c1,c2,c1). [resolve(3250,a,115,a)].
% 9.07/9.40 3354 para(c2,c1,c5,c1). [resolve(3278,a,715,a)].
% 9.07/9.40 3436 -perp(c2,c1,A,B) | perp(c5,c1,A,B). [resolve(3337,a,121,a)].
% 9.07/9.40 3467 -midp(c2,A,c5) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(3354,a,156,b)].
% 9.07/9.40 3607 eqratio(c2,c1,c1,c1,c2,c2,c2,c2). [resolve(743,b,756,a),unit_del(a,780)].
% 9.07/9.40 3609 midp(c2,c2,c2) | -cong(c1,c1,c1,c2). [resolve(745,a,335,b),unit_del(a,756)].
% 9.07/9.40 3610 -cyclic(c2,c1,c1,c2) | -cyclic(c2,c1,c1,c1) | cong(c2,c1,c2,c1). [resolve(745,a,305,c)].
% 9.07/9.40 3620 -coll(c1,c1,A) | cyclic(c2,A,c1,c1). [resolve(745,a,153,a)].
% 9.07/9.40 3621 eqangle(c1,c2,c1,c2,A,B,A,B). [resolve(745,a,131,a)].
% 9.07/9.40 3622 eqangle(A,B,c1,c2,A,B,c1,c2). [resolve(745,a,129,a)].
% 9.07/9.40 3824 eqangle(A,B,c3,c5,A,B,c3,c5). [resolve(799,a,129,a)].
% 9.07/9.40 8046 -cyclic(c1,c2,c2,c1) | -cyclic(c1,c2,c2,c2) | cong(c1,c2,c1,c2). [resolve(1089,a,305,c)].
% 9.07/9.40 8047 -cyclic(c1,c1,c2,c1) | -cyclic(c1,c1,c2,c2) | cong(c1,c1,c1,c1). [resolve(1089,a,303,c)].
% 9.07/9.40 8056 -coll(c2,c2,A) | cyclic(c1,A,c2,c2). [resolve(1089,a,153,a)].
% 9.07/9.40 8614 midp(c5,c5,c5) | -cong(c2,c2,c2,c5). [resolve(1343,a,335,b),unit_del(a,535)].
% 9.07/9.40 12320 midp(c1,c1,c1) | -cong(c5,c5,c5,c1). [resolve(1629,a,335,b),unit_del(a,571)].
% 9.07/9.40 19390 -cong(c2,c2,c2,c2) | cong(c2,c1,c1,c1). [resolve(3607,a,180,a)].
% 9.07/9.40 19444 cyclic(c2,c3,c1,c1). [resolve(3620,a,1192,a)].
% 9.07/9.40 19447 cyclic(c2,c2,c1,c1). [resolve(3620,a,753,a)].
% 9.07/9.40 19448 cyclic(c2,c1,c1,c1). [resolve(3620,a,571,a)].
% 9.07/9.40 19452 -cyclic(c2,c1,c1,c2) | cong(c2,c1,c2,c1). [back_unit_del(3610),unit_del(b,19448)].
% 9.07/9.40 19470 cyclic(c2,c1,c3,c1). [resolve(19444,a,125,a)].
% 9.07/9.40 19472 -cong(c2,c1,c2,c1) | perp(c1,c2,c2,c1). [resolve(19447,a,308,b)].
% 9.07/9.40 19474 -cyclic(c2,c2,c1,A) | cyclic(c2,c1,c1,A). [resolve(19447,a,127,a)].
% 9.07/9.40 19475 cyclic(c2,c1,c2,c1). [resolve(19447,a,125,a)].
% 9.07/9.40 19476 -cyclic(c2,c2,c1,A) | cong(c2,c2,A,A). [resolve(3621,a,352,b)].
% 9.07/9.40 19479 -coll(c1,A,c2) | cyclic(c2,c2,c1,A). [resolve(3621,a,153,a)].
% 9.07/9.40 19486 cyclic(c1,c2,c1,c1). [resolve(19448,a,126,a)].
% 9.07/9.40 19507 para(A,B,A,B). [resolve(3622,a,149,a)].
% 9.07/9.40 19544 cyclic(c2,c1,c1,c3). [resolve(19470,a,124,a)].
% 9.07/9.40 19548 cyclic(c1,c2,c2,c1). [resolve(19475,a,126,a)].
% 9.07/9.40 19549 cyclic(c2,c1,c1,c2). [resolve(19475,a,124,a)].
% 9.07/9.40 19550 -cyclic(c1,c2,c2,c2) | cong(c1,c2,c1,c2). [back_unit_del(8046),unit_del(a,19548)].
% 9.07/9.40 19551 cong(c2,c1,c2,c1). [back_unit_del(19452),unit_del(a,19549)].
% 9.07/9.40 19552 perp(c1,c2,c2,c1). [back_unit_del(19472),unit_del(a,19551)].
% 9.07/9.40 19558 cyclic(c1,c1,c2,c1). [resolve(19486,a,125,a)].
% 9.07/9.40 19559 -cyclic(c1,c1,c2,c2) | cong(c1,c1,c1,c1). [back_unit_del(8047),unit_del(a,19558)].
% 9.07/9.40 19595 -midp(A,B,B) | midp(A,C,C). [resolve(19507,a,311,b)].
% 9.07/9.40 19596 coll(A,B,B). [resolve(19507,a,172,a)].
% 9.07/9.40 19712 coll(A,A,B). [resolve(19596,a,297,a)].
% 9.07/9.40 19715 coll(A,B,A). [resolve(19596,a,113,a)].
% 9.07/9.40 19850 cyclic(c1,A,c2,c2). [back_unit_del(8056),unit_del(a,19712)].
% 9.07/9.40 20057 coll(c1,A,c2). [back_unit_del(755),unit_del(a,19712)].
% 9.07/9.40 20083 -midp(c2,A,c5) | midp(c1,A,c1). [back_unit_del(3467),unit_del(b,19715)].
% 9.07/9.40 20111 cong(c1,c1,c1,c1). [back_unit_del(19559),unit_del(a,19850)].
% 9.07/9.40 20112 cong(c1,c2,c1,c2). [back_unit_del(19550),unit_del(a,19850)].
% 9.07/9.40 20255 cyclic(c2,c2,c1,A). [back_unit_del(19479),unit_del(a,20057)].
% 9.07/9.40 20348 cong(c2,c2,A,A). [back_unit_del(19476),unit_del(a,20255)].
% 9.07/9.40 20349 cyclic(c2,c1,c1,A). [back_unit_del(19474),unit_del(a,20255)].
% 9.07/9.40 20351 cong(c2,c1,c1,c1). [back_unit_del(19390),unit_del(a,20348)].
% 9.07/9.40 20358 coll(A,B,C). [resolve(19712,a,114,b),unit_del(a,19712)].
% 9.07/9.40 20381 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E). [back_unit_del(156),unit_del(c,20358)].
% 9.07/9.40 20569 cyclic(c1,c1,A,c3). [resolve(19544,a,127,b),unit_del(a,20349)].
% 9.07/9.40 20631 perp(c5,c1,c2,c1). [resolve(19552,a,3334,a)].
% 9.07/9.40 20659 perp(c2,c1,c1,c1). [resolve(19558,a,163,c),unit_del(a,20112),unit_del(b,20111)].
% 9.07/9.40 20904 cyclic(c2,c1,A,B). [resolve(20255,a,127,b),unit_del(a,20255)].
% 9.07/9.40 20948 cyclic(c1,c1,A,B). [resolve(20349,a,127,b),unit_del(a,20904)].
% 9.07/9.40 20958 cong(c1,c1,c2,c1). [resolve(20351,a,134,a)].
% 9.07/9.40 21086 cyclic(c1,A,B,c3). [resolve(20569,a,127,b),unit_del(a,20948)].
% 9.07/9.40 21159 perp(c2,c1,c5,c1). [resolve(20631,a,119,a)].
% 9.07/9.40 21265 para(c2,c3,c1,c1). [resolve(20659,a,3277,a)].
% 9.07/9.40 21501 cyclic(c1,A,B,C). [resolve(20904,a,127,b),unit_del(a,20904)].
% 9.07/9.40 21583 cong(c1,c1,c1,c2). [resolve(20958,a,133,a)].
% 9.07/9.40 21584 midp(c2,c2,c2). [back_unit_del(3609),unit_del(b,21583)].
% 9.07/9.40 21585 midp(c2,c3,c3). [resolve(21584,a,1512,a)].
% 9.07/9.40 21602 midp(c2,c2,c5). [resolve(21585,a,3218,a)].
% 9.07/9.40 21604 midp(c2,c4,c4). [resolve(21585,a,2175,a)].
% 9.07/9.40 21663 cong(c2,c2,c2,c5). [resolve(21602,a,174,a)].
% 9.07/9.40 21668 midp(c5,c5,c5). [back_unit_del(8614),unit_del(b,21663)].
% 9.07/9.40 21703 midp(c5,c1,c1). [resolve(21668,a,1620,a)].
% 9.07/9.40 21725 para(c5,c5,c1,c1). [resolve(21703,a,306,a)].
% 9.07/9.40 21969 cyclic(A,B,C,c3). [resolve(21086,a,127,b),unit_del(a,21501)].
% 9.07/9.40 21970 cyclic(A,B,c3,C). [resolve(21086,a,127,a),unit_del(a,21501)].
% 9.07/9.40 22179 perp(c5,c1,c5,c1). [resolve(21159,a,3436,a)].
% 9.07/9.40 22214 cong(A,c5,A,c5). [resolve(3824,a,154,d),unit_del(a,21970),unit_del(b,21970),unit_del(c,21969)].
% 9.07/9.40 22343 -perp(c1,c1,A,B) | perp(c2,c3,A,B). [resolve(21265,a,121,a)].
% 9.07/9.40 22577 para(c1,c1,c5,c5). [resolve(21725,a,116,a)].
% 9.07/9.40 22676 -midp(c1,c5,c1) | cong(c5,c5,c5,c1). [resolve(22179,a,161,b)].
% 9.07/9.40 22700 cong(A,c5,c5,A). [resolve(22214,a,133,a)].
% 9.07/9.40 22826 -perp(c5,c5,A,B) | perp(c1,c1,A,B). [resolve(22577,a,121,a)].
% 9.07/9.40 22905 cong(c5,A,A,c5). [resolve(22700,a,134,a)].
% 9.07/9.40 23031 cong(c5,A,c5,A). [resolve(22905,a,133,a)].
% 9.07/9.40 23163 perp(c5,c5,A,B). [resolve(23031,a,162,b),unit_del(a,23031)].
% 9.07/9.40 23172 perp(c1,c1,A,B). [back_unit_del(22826),unit_del(a,23163)].
% 9.07/9.40 23240 perp(c2,c3,A,B). [back_unit_del(22343),unit_del(a,23172)].
% 9.07/9.40 23424 -perp(A,B,c5,c5) | para(A,B,C,D). [resolve(23163,a,120,b)].
% 9.07/9.40 23425 perp(A,B,c5,c5). [resolve(23163,a,119,a)].
% 9.07/9.40 23426 para(A,B,C,D). [back_unit_del(23424),unit_del(a,23425)].
% 9.07/9.40 23478 -midp(A,B,C) | midp(D,B,E). [back_unit_del(20381),unit_del(b,23426)].
% 9.07/9.40 23569 -midp(c3,A,B) | cong(c2,A,c2,B). [resolve(23240,a,161,b)].
% 9.07/9.40 23814 midp(c2,A,A). [resolve(19595,a,21604,a)].
% 9.07/9.40 24534 midp(c1,c5,c1). [resolve(20083,a,23814,a)].
% 9.07/9.41 24536 cong(c5,c5,c5,c1). [back_unit_del(22676),unit_del(a,24534)].
% 9.07/9.41 24540 midp(c1,c1,c1). [back_unit_del(12320),unit_del(b,24536)].
% 9.07/9.41 24555 midp(c1,A,A). [resolve(24540,a,19595,a)].
% 9.07/9.41 26050 midp(A,B,C). [resolve(23478,a,24555,a)].
% 9.07/9.41 26377 cong(c2,A,c2,B). [back_unit_del(23569),unit_del(a,26050)].
% 9.07/9.41 26378 $F. [resolve(26377,a,216,a)].
% 9.07/9.41
% 9.07/9.41 % SZS output end Refutation
% 9.07/9.41 ============================== end of proof ==========================
% 9.07/9.41
% 9.07/9.41 ============================== STATISTICS ============================
% 9.07/9.41
% 9.07/9.41 Given=13221. Generated=140283. Kept=26246. proofs=1.
% 9.07/9.41 Usable=10877. Sos=5647. Demods=0. Limbo=327, Disabled=9576. Hints=0.
% 9.07/9.41 Megabytes=15.28.
% 9.07/9.41 User_CPU=8.15, System_CPU=0.08, Wall_clock=8.
% 9.07/9.41
% 9.07/9.41 ============================== end of statistics =====================
% 9.07/9.41
% 9.07/9.41 ============================== end of search =========================
% 9.07/9.41
% 9.07/9.41 THEOREM PROVED
% 9.07/9.41 % SZS status Theorem
% 9.07/9.41
% 9.07/9.41 Exiting with 1 proof.
% 9.07/9.41
% 9.07/9.41 Process 24620 exit (max_proofs) Fri Jun 17 18:04:32 2022
% 9.07/9.41 Prover9 interrupted
%------------------------------------------------------------------------------