TSTP Solution File: GEO571+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 05:57:00 EDT 2022
% Result : Theorem 104.78s 105.08s
% Output : Refutation 104.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 18:42:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.10 ============================== Prover9 ===============================
% 0.47/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.10 Process 26955 was started by sandbox2 on n021.cluster.edu,
% 0.47/1.10 Fri Jun 17 18:42:31 2022
% 0.47/1.10 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26802_n021.cluster.edu".
% 0.47/1.10 ============================== end of head ===========================
% 0.47/1.10
% 0.47/1.10 ============================== INPUT =================================
% 0.47/1.10
% 0.47/1.10 % Reading from file /tmp/Prover9_26802_n021.cluster.edu
% 0.47/1.10
% 0.47/1.10 set(prolog_style_variables).
% 0.47/1.10 set(auto2).
% 0.47/1.10 % set(auto2) -> set(auto).
% 0.47/1.10 % set(auto) -> set(auto_inference).
% 0.47/1.10 % set(auto) -> set(auto_setup).
% 0.47/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.47/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.10 % set(auto) -> set(auto_limits).
% 0.47/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.10 % set(auto) -> set(auto_denials).
% 0.47/1.10 % set(auto) -> set(auto_process).
% 0.47/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.47/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.47/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.47/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.47/1.10 % set(auto2) -> assign(stats, some).
% 0.47/1.10 % set(auto2) -> clear(echo_input).
% 0.47/1.10 % set(auto2) -> set(quiet).
% 0.47/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.10 % set(auto2) -> clear(print_given).
% 0.47/1.10 assign(lrs_ticks,-1).
% 0.47/1.10 assign(sos_limit,10000).
% 0.47/1.10 assign(order,kbo).
% 0.47/1.10 set(lex_order_vars).
% 0.47/1.10 clear(print_given).
% 0.47/1.10
% 0.47/1.10 % formulas(sos). % not echoed (95 formulas)
% 0.47/1.10
% 0.47/1.10 ============================== end of input ==========================
% 0.47/1.10
% 0.47/1.10 % From the command line: assign(max_seconds, 300).
% 0.47/1.10
% 0.47/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.10
% 0.47/1.10 % Formulas that are not ordinary clauses:
% 0.47/1.10 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.10 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.10 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.11 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].
% 0.47/1.11 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.11 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 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].
% 0.47/1.11 95 -(all A all B all C all O all D all I all E all F all NWPNT1 (circle(O,A,B,C) & circle(O,A,D,NWPNT1) & coll(I,A,B) & coll(I,C,D) & perp(C,D,D,E) & perp(A,B,A,E) & perp(C,D,C,F) & perp(A,B,B,F) -> eqangle(A,I,I,E,F,I,I,C))) # label(exemplo6GDDFULL214033) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.47/1.11
% 0.47/1.11 ============================== end of process non-clausal formulas ===
% 0.47/1.11
% 0.47/1.11 ============================== PROCESS INITIAL CLAUSES ===============
% 0.47/1.11
% 0.47/1.11 ============================== PREDICATE ELIMINATION =================
% 0.47/1.11 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)].
% 0.47/1.11 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 100 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.47/1.11 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)].
% 0.47/1.11 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.47/1.11 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)].
% 0.47/1.11 103 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 104 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 105 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 106 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 107 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 108 -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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 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)].
% 0.47/1.11 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 0.47/1.11 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.47/1.11 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.47/1.11 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.47/1.11 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.47/1.11 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.47/1.11 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.47/1.11 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)].
% 104.78/105.08 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)].
% 104.78/105.08 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)].
% 104.78/105.08 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)].
% 104.78/105.08 110 circle(c4,c1,c5,c9) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c9,c1,c9,c5). [resolve(110,a,96,a)].
% 104.78/105.08 Derived: -eqangle(c1,A,c1,c5,c9,c1,c9,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 104.78/105.08 Derived: -midp(A,c5,c9) | eqangle(c1,c5,c1,c9,c4,c5,c4,A). [resolve(110,a,99,a)].
% 104.78/105.08 Derived: -coll(A,c5,c9) | -eqangle(c1,c5,c1,c9,c4,c5,c4,A) | midp(A,c5,c9). [resolve(110,a,100,a)].
% 104.78/105.08 Derived: -coll(c4,c1,c9) | perp(c1,c5,c5,c9). [resolve(110,a,101,a)].
% 104.78/105.08 Derived: perp(f12(c1,c5,c9,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 104.78/105.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c9,A,c4,B),c1,c9). [resolve(110,a,103,a)].
% 104.78/105.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c9,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 104.78/105.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c9,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 104.78/105.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c9,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 104.78/105.08
% 104.78/105.08 ============================== end predicate elimination =============
% 104.78/105.08
% 104.78/105.08 Auto_denials: (non-Horn, no changes).
% 104.78/105.08
% 104.78/105.08 Term ordering decisions:
% 104.78/105.08 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.
% 104.78/105.08
% 104.78/105.08 ============================== end of process initial clauses ========
% 104.78/105.08
% 104.78/105.08 ============================== CLAUSES FOR SEARCH ====================
% 104.78/105.08
% 104.78/105.08 ============================== end of clauses for search =============
% 104.78/105.08
% 104.78/105.08 ============================== SEARCH ================================
% 104.78/105.08
% 104.78/105.08 % Starting search at 0.05 seconds.
% 104.78/105.08
% 104.78/105.08 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.16 sec).
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=26.000, iters=3333
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=25.000, iters=3400
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=23.000, iters=3395
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=22.000, iters=3418
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=21.000, iters=3360
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=18.000, iters=3343
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=17.000, iters=3363
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=16.000, iters=3335
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=15.000, iters=3362
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=14.000, iters=3445
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=12.000, iters=3333
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=11.000, iters=3334
% 104.78/105.08
% 104.78/105.08 Low Water (displace): id=8335, wt=26.000
% 104.78/105.08
% 104.78/105.08 Low Water (displace): id=23552, wt=10.000
% 104.78/105.08
% 104.78/105.08 Low Water (displace): id=23613, wt=9.000
% 104.78/105.08
% 104.78/105.08 Low Water (displace): id=23831, wt=5.000
% 104.78/105.08
% 104.78/105.08 Low Water (displace): id=23972, wt=4.000
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=10.000, iters=3333
% 104.78/105.08
% 104.78/105.08 Low Water (keep): wt=9.000, iters=3334
% 104.78/105.08
% 104.78/105.08 ============================== PROOF =================================
% 104.78/105.08 % SZS status Theorem
% 104.78/105.08 % SZS output start Refutation
% 104.78/105.08
% 104.78/105.08 % Proof 1 at 103.50 (+ 0.48) seconds.
% 104.78/105.08 % Length of proof is 196.
% 104.78/105.08 % Level of proof is 33.
% 104.78/105.08 % Maximum clause weight is 29.000.
% 104.78/105.08 % Given clauses 38008.
% 104.78/105.08
% 104.78/105.08 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 104.78/105.08 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 104.78/105.08 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].
% 104.78/105.08 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 104.78/105.08 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].
% 104.78/105.08 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].
% 104.78/105.08 95 -(all A all B all C all O all D all I all E all F all NWPNT1 (circle(O,A,B,C) & circle(O,A,D,NWPNT1) & coll(I,A,B) & coll(I,C,D) & perp(C,D,D,E) & perp(A,B,A,E) & perp(C,D,C,F) & perp(A,B,B,F) -> eqangle(A,I,I,E,F,I,I,C))) # label(exemplo6GDDFULL214033) # label(negated_conjecture) # label(non_clause). [assumption].
% 104.78/105.08 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 104.78/105.08 100 -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)].
% 104.78/105.08 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 104.78/105.08 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 104.78/105.08 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 104.78/105.08 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 104.78/105.08 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 104.78/105.08 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 104.78/105.08 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 104.78/105.08 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 104.78/105.08 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 104.78/105.08 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 104.78/105.08 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 104.78/105.08 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 104.78/105.08 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 104.78/105.08 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 104.78/105.08 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 104.78/105.08 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 104.78/105.08 131 -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)].
% 104.78/105.08 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 104.78/105.08 148 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 104.78/105.08 149 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 104.78/105.08 152 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 104.78/105.08 153 -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)].
% 104.78/105.08 160 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 104.78/105.08 161 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 104.78/105.08 162 -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)].
% 104.78/105.08 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 104.78/105.08 170 -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)].
% 104.78/105.08 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 104.78/105.08 172 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 104.78/105.08 173 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 104.78/105.08 179 -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)].
% 104.78/105.08 210 coll(c6,c1,c2) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 211 coll(c6,c3,c5) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 212 perp(c3,c5,c5,c7) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 213 perp(c1,c2,c1,c7) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 215 perp(c1,c2,c2,c8) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 216 -eqangle(c1,c6,c6,c7,c8,c6,c6,c3) # label(exemplo6GDDFULL214033) # label(negated_conjecture). [clausify(95)].
% 104.78/105.08 220 -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)].
% 104.78/105.08 259 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 104.78/105.08 260 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 104.78/105.08 283 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 104.78/105.08 288 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 104.78/105.08 291 -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(153,b,c)].
% 104.78/105.08 297 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 104.78/105.08 321 -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)].
% 104.78/105.08 348 coll(c1,c6,c2). [resolve(210,a,112,a)].
% 104.78/105.08 349 coll(c6,c2,c1). [resolve(210,a,111,a)].
% 104.78/105.08 353 coll(c6,c5,c3). [resolve(211,a,111,a)].
% 104.78/105.08 373 -perp(A,B,c3,c5) | para(A,B,c5,c7). [resolve(212,a,119,b)].
% 104.78/105.08 375 perp(c5,c7,c3,c5). [resolve(212,a,118,a)].
% 104.78/105.08 376 perp(c3,c5,c7,c5). [resolve(212,a,117,a)].
% 104.78/105.08 386 -perp(A,B,c1,c2) | para(A,B,c1,c7). [resolve(213,a,119,b)].
% 104.78/105.08 389 perp(c1,c2,c7,c1). [resolve(213,a,117,a)].
% 104.78/105.08 424 perp(c2,c8,c1,c2). [resolve(215,a,118,a)].
% 104.78/105.08 450 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(260,a,119,b)].
% 104.78/105.08 452 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(260,a,118,a)].
% 104.78/105.08 480 coll(c5,c5,c6). [resolve(283,a,211,a)].
% 104.78/105.08 485 coll(c1,c2,c6). [resolve(348,a,111,a)].
% 104.78/105.08 486 coll(c1,c1,c6). [resolve(349,a,283,a)].
% 104.78/105.08 497 coll(c5,c6,c3). [resolve(353,a,112,a)].
% 104.78/105.08 498 coll(c6,c6,c5). [resolve(480,a,283,a)].
% 104.78/105.08 501 coll(c5,c6,c5). [resolve(480,a,111,a)].
% 104.78/105.08 510 coll(c6,c6,c1). [resolve(485,a,283,a)].
% 104.78/105.08 514 -coll(c1,c1,A) | coll(A,c6,c1). [resolve(486,a,113,b)].
% 104.78/105.08 531 -coll(c5,c6,A) | coll(c3,A,c5). [resolve(497,a,113,a)].
% 104.78/105.08 532 -coll(c6,c6,A) | coll(A,c5,c6). [resolve(498,a,113,b)].
% 104.78/105.08 533 -coll(c6,c6,A) | coll(c5,A,c6). [resolve(498,a,113,a)].
% 104.78/105.08 535 coll(c5,c5,c5). [resolve(501,a,283,a)].
% 104.78/105.08 536 -coll(c5,c6,A) | coll(A,c5,c5). [resolve(501,a,113,b)].
% 104.78/105.08 651 perp(c7,c5,c3,c5). [resolve(376,a,118,a)].
% 104.78/105.08 685 perp(c7,c1,c1,c2). [resolve(389,a,118,a)].
% 104.78/105.08 724 -perp(c1,c2,A,B) | para(c2,c8,A,B). [resolve(424,a,119,a)].
% 104.78/105.08 1061 para(c7,c5,c5,c7). [resolve(373,a,651,a)].
% 104.78/105.08 1063 para(c5,c7,c5,c7). [resolve(373,a,375,a)].
% 104.78/105.08 1092 -coll(A,c7,c5) | -coll(A,c5,c7) | eqratio(A,c7,c7,c5,A,c5,c5,c7). [resolve(1061,a,170,a)].
% 104.78/105.08 1098 para(c7,c5,c7,c5). [resolve(1061,a,114,a)].
% 104.78/105.08 1119 -midp(A,c5,c5) | midp(A,c7,c7). [resolve(1063,a,297,b)].
% 104.78/105.08 1126 coll(c5,c7,c7). [resolve(1063,a,171,a)].
% 104.78/105.08 1129 eqangle(c5,c7,A,B,c5,c7,A,B). [resolve(1063,a,149,a)].
% 104.78/105.08 1132 coll(c7,c7,c5). [resolve(1126,a,283,a)].
% 104.78/105.08 1135 coll(c7,c5,c7). [resolve(1126,a,112,a)].
% 104.78/105.08 1140 coll(c5,c5,c7). [resolve(1132,a,283,a)].
% 104.78/105.08 1298 para(c7,c1,c1,c7). [resolve(386,a,685,a)].
% 104.78/105.08 1376 eqangle(c7,c5,A,B,c7,c5,A,B). [resolve(1098,a,149,a)].
% 104.78/105.08 1472 para(c7,c1,c7,c1). [resolve(1298,a,114,a)].
% 104.78/105.08 1687 -midp(A,c7,c7) | midp(A,c1,c1). [resolve(1472,a,297,b)].
% 104.78/105.08 2284 coll(c1,c5,c6). [resolve(532,a,510,a)].
% 104.78/105.08 2288 coll(c5,c1,c6). [resolve(2284,a,112,a)].
% 104.78/105.08 2296 coll(c5,c6,c1). [resolve(2288,a,111,a)].
% 104.78/105.08 2312 coll(c3,c1,c5). [resolve(2296,a,531,a)].
% 104.78/105.08 2346 coll(c3,c5,c1). [resolve(2312,a,111,a)].
% 104.78/105.08 2383 -coll(c3,c5,A) | coll(A,c1,c3). [resolve(2346,a,113,b)].
% 104.78/105.08 2501 para(c1,c4,c1,c4). [resolve(452,a,450,a)].
% 104.78/105.08 2518 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(2501,a,297,b)].
% 104.78/105.08 2525 coll(c1,c4,c4). [resolve(2501,a,171,a)].
% 104.78/105.08 2530 coll(c4,c4,c1). [resolve(2525,a,283,a)].
% 104.78/105.08 2538 coll(c1,c1,c4). [resolve(2530,a,283,a)].
% 104.78/105.08 2569 coll(c4,c6,c1). [resolve(2538,a,514,a)].
% 104.78/105.08 2583 coll(c4,c1,c6). [resolve(2569,a,111,a)].
% 104.78/105.08 2595 coll(c6,c6,c4). [resolve(2583,a,283,a)].
% 104.78/105.08 2620 coll(c5,c4,c6). [resolve(2595,a,533,a)].
% 104.78/105.08 2621 coll(c4,c5,c6). [resolve(2595,a,532,a)].
% 104.78/105.08 2653 coll(c5,c6,c4). [resolve(2620,a,111,a)].
% 104.78/105.08 2670 coll(c4,c6,c5). [resolve(2621,a,111,a)].
% 104.78/105.08 2713 coll(c4,c5,c5). [resolve(2653,a,536,a)].
% 104.78/105.08 2714 coll(c3,c4,c5). [resolve(2653,a,531,a)].
% 104.78/105.08 2724 coll(c5,c5,c4). [resolve(2670,a,283,a)].
% 104.78/105.08 2755 coll(c3,c5,c4). [resolve(2714,a,111,a)].
% 104.78/105.08 4298 coll(c4,c1,c3). [resolve(2383,a,2755,a)].
% 104.78/105.08 4299 perp(c1,c2,c2,c3). [back_unit_del(259),unit_del(a,4298)].
% 104.78/105.08 4328 para(c2,c8,c2,c3). [resolve(4299,a,724,a)].
% 104.78/105.08 4385 eqangle(c2,c8,A,B,c2,c3,A,B). [resolve(4328,a,149,a)].
% 104.78/105.08 8130 eqratio(c7,c7,c7,c5,c7,c5,c5,c7). [resolve(1092,a,1132,a),unit_del(a,1135)].
% 104.78/105.08 8842 -cyclic(c7,c5,c5,c7) | -cyclic(c7,c5,c5,c5) | cong(c7,c5,c7,c5). [resolve(1129,a,291,c)].
% 104.78/105.08 8851 -coll(c5,c5,A) | cyclic(c7,A,c5,c5). [resolve(1129,a,152,a)].
% 104.78/105.08 8853 eqangle(A,B,c5,c7,A,B,c5,c7). [resolve(1129,a,128,a)].
% 104.78/105.08 11847 midp(c5,c5,c5) | -cong(c7,c7,c7,c5). [resolve(1376,a,321,b),unit_del(a,535)].
% 104.78/105.08 19231 eqangle(c2,c8,c2,c3,A,B,A,B). [resolve(4385,a,130,a)].
% 104.78/105.08 21549 -cong(c7,c5,c5,c7) | cong(c7,c7,c7,c5). [resolve(8130,a,179,a)].
% 104.78/105.08 21674 cyclic(c7,c4,c5,c5). [resolve(8851,a,2724,a)].
% 104.78/105.08 21678 cyclic(c7,c7,c5,c5). [resolve(8851,a,1140,a)].
% 104.78/105.08 21679 cyclic(c7,c5,c5,c5). [resolve(8851,a,535,a)].
% 104.78/105.08 21683 -cyclic(c7,c5,c5,c7) | cong(c7,c5,c7,c5). [back_unit_del(8842),unit_del(b,21679)].
% 104.78/105.08 21687 cyclic(c4,c5,c5,c5). [resolve(21674,a,288,a)].
% 104.78/105.08 21715 cyclic(c7,c5,c7,c5). [resolve(21678,a,124,a)].
% 104.78/105.08 21739 cyclic(c5,c4,c5,c5). [resolve(21687,a,125,a)].
% 104.78/105.08 21807 cyclic(c7,c5,c5,c7). [resolve(21715,a,123,a)].
% 104.78/105.08 21808 cong(c7,c5,c7,c5). [back_unit_del(21683),unit_del(a,21807)].
% 104.78/105.08 21856 cyclic(c5,c5,c4,c5). [resolve(21739,a,124,a)].
% 104.78/105.08 21959 cong(c7,c5,c5,c7). [resolve(21808,a,132,a)].
% 104.78/105.08 21962 cong(c7,c7,c7,c5). [back_unit_del(21549),unit_del(a,21959)].
% 104.78/105.08 21963 midp(c5,c5,c5). [back_unit_del(11847),unit_del(b,21962)].
% 104.78/105.08 21991 midp(c5,c7,c7). [resolve(21963,a,1119,a)].
% 104.78/105.08 21996 cong(c5,c5,c5,c5). [resolve(21963,a,173,a)].
% 104.78/105.08 22134 midp(c5,c1,c1). [resolve(21991,a,1687,a)].
% 104.78/105.08 22378 midp(c5,c4,c4). [resolve(22134,a,2518,a)].
% 104.78/105.08 22689 cong(c5,c4,c5,c4). [resolve(22378,a,173,a)].
% 104.78/105.08 24393 perp(c4,c5,c5,c5). [resolve(21856,a,162,c),unit_del(a,22689),unit_del(b,21996)].
% 104.78/105.08 25364 cong(c4,c5,c4,c5). [resolve(24393,a,160,b),unit_del(a,21963)].
% 104.78/105.08 26791 midp(c4,c5,c5). [resolve(25364,a,172,a),unit_del(a,2713)].
% 104.78/105.08 26794 midp(c4,c7,c7). [resolve(26791,a,1119,a)].
% 104.78/105.08 26808 midp(c4,c1,c1). [resolve(26794,a,1687,a)].
% 104.78/105.08 26829 midp(c4,c4,c4). [resolve(26808,a,2518,a)].
% 104.78/105.08 36040 para(A,B,A,B). [resolve(8853,a,148,a)].
% 104.78/105.08 36043 -midp(A,B,B) | midp(A,C,C). [resolve(36040,a,297,b)].
% 104.78/105.08 37751 midp(c4,A,A). [resolve(36043,a,26829,a)].
% 104.78/105.08 37770 cong(c4,A,c4,A). [resolve(37751,a,173,a)].
% 104.78/105.08 37881 perp(c4,c4,A,B). [resolve(37770,a,161,b),unit_del(a,37770)].
% 104.78/105.08 38003 -perp(A,B,c4,c4) | para(A,B,C,D). [resolve(37881,a,119,b)].
% 104.78/105.08 38004 perp(A,B,c4,c4). [resolve(37881,a,118,a)].
% 104.78/105.08 38005 para(A,B,C,D). [back_unit_del(38003),unit_del(a,38004)].
% 104.78/105.08 38048 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(149),unit_del(a,38005)].
% 104.78/105.08 39721 -eqangle(A,B,A,B,C,D,E,F) | eqangle(c2,c8,c2,c3,C,D,E,F). [resolve(19231,a,131,a)].
% 104.78/105.08 39722 eqangle(A,B,A,B,c2,c8,c2,c3). [resolve(19231,a,129,a)].
% 104.78/105.08 46176 eqangle(A,B,C,D,E,F,E,F). [resolve(38048,a,130,a)].
% 104.78/105.08 46662 eqangle(A,B,C,D,c2,c8,c2,c3). [resolve(39722,a,131,b),unit_del(a,46176)].
% 104.78/105.08 51443 eqangle(c2,c8,c2,c3,A,B,C,D). [resolve(39721,a,38048,a)].
% 104.78/105.08 54320 eqangle(A,B,C,D,E,F,V6,V7). [resolve(46662,a,131,a),unit_del(a,51443)].
% 104.78/105.08 54321 $F. [resolve(54320,a,216,a)].
% 104.78/105.08
% 104.78/105.08 % SZS output end Refutation
% 104.78/105.08 ============================== end of proof ==========================
% 104.78/105.08
% 104.78/105.08 ============================== STATISTICS ============================
% 104.78/105.08
% 104.78/105.08 Given=38008. Generated=942686. Kept=54194. proofs=1.
% 104.78/105.08 Usable=34015. Sos=7005. Demods=0. Limbo=1, Disabled=13344. Hints=0.
% 104.78/105.08 Megabytes=26.96.
% 104.78/105.08 User_CPU=103.50, System_CPU=0.48, Wall_clock=104.
% 104.78/105.08
% 104.78/105.08 ============================== end of statistics =====================
% 104.78/105.08
% 104.78/105.08 ============================== end of search =========================
% 104.78/105.08
% 104.78/105.08 THEOREM PROVED
% 104.78/105.08 % SZS status Theorem
% 104.78/105.08
% 104.78/105.08 Exiting with 1 proof.
% 104.78/105.08
% 104.78/105.08 Process 26955 exit (max_proofs) Fri Jun 17 18:44:15 2022
% 104.78/105.08 Prover9 interrupted
%------------------------------------------------------------------------------