TSTP Solution File: GEO592+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO592+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 05:57:07 EDT 2022
% Result : Theorem 88.78s 89.07s
% Output : Refutation 88.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.14 % 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 : Sat Jun 18 12:08:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.82/1.13 ============================== Prover9 ===============================
% 0.82/1.13 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.13 Process 28551 was started by sandbox on n012.cluster.edu,
% 0.82/1.13 Sat Jun 18 12:08:24 2022
% 0.82/1.13 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28398_n012.cluster.edu".
% 0.82/1.13 ============================== end of head ===========================
% 0.82/1.13
% 0.82/1.13 ============================== INPUT =================================
% 0.82/1.13
% 0.82/1.13 % Reading from file /tmp/Prover9_28398_n012.cluster.edu
% 0.82/1.13
% 0.82/1.13 set(prolog_style_variables).
% 0.82/1.13 set(auto2).
% 0.82/1.13 % set(auto2) -> set(auto).
% 0.82/1.13 % set(auto) -> set(auto_inference).
% 0.82/1.13 % set(auto) -> set(auto_setup).
% 0.82/1.13 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.13 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.13 % set(auto) -> set(auto_limits).
% 0.82/1.13 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.13 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.13 % set(auto) -> set(auto_denials).
% 0.82/1.13 % set(auto) -> set(auto_process).
% 0.82/1.13 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.13 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.13 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.13 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.13 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.13 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.13 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.13 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.13 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.13 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.13 % set(auto2) -> assign(stats, some).
% 0.82/1.13 % set(auto2) -> clear(echo_input).
% 0.82/1.13 % set(auto2) -> set(quiet).
% 0.82/1.13 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.13 % set(auto2) -> clear(print_given).
% 0.82/1.13 assign(lrs_ticks,-1).
% 0.82/1.13 assign(sos_limit,10000).
% 0.82/1.13 assign(order,kbo).
% 0.82/1.13 set(lex_order_vars).
% 0.82/1.13 clear(print_given).
% 0.82/1.13
% 0.82/1.13 % formulas(sos). % not echoed (95 formulas)
% 0.82/1.13
% 0.82/1.13 ============================== end of input ==========================
% 0.82/1.13
% 0.82/1.13 % From the command line: assign(max_seconds, 300).
% 0.82/1.13
% 0.82/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.13
% 0.82/1.13 % Formulas that are not ordinary clauses:
% 0.82/1.13 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.13 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.13 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.14 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].
% 0.82/1.14 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.14 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 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].
% 0.82/1.14 95 -(all B all C all A all D all O all M all G all F all E all NWPNT1 all NWPNT2 all NWPNT3 (perp(A,B,A,C) & perp(D,A,B,C) & coll(D,B,C) & midp(O,C,B) & circle(O,A,NWPNT1,NWPNT2) & perp(M,B,A,O) & coll(M,A,O) & coll(G,B,M) & circle(O,A,G,NWPNT3) & coll(F,C,A) & coll(F,B,M) & coll(E,A,D) & coll(E,B,M) -> cong(E,A,E,B))) # label(exemplo6GDDFULL416054) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.82/1.14
% 0.82/1.14 ============================== end of process non-clausal formulas ===
% 0.82/1.14
% 0.82/1.14 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.14
% 0.82/1.14 ============================== PREDICATE ELIMINATION =================
% 0.82/1.14 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)].
% 0.82/1.14 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 100 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.82/1.14 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)].
% 0.82/1.14 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.82/1.14 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)].
% 0.82/1.14 103 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 104 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 105 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 106 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 107 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 108 -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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 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)].
% 0.82/1.14 109 circle(c5,c3,c10,c11) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 0.82/1.14 Derived: -perp(c5,c3,c3,A) | eqangle(c3,A,c3,c10,c11,c3,c11,c10). [resolve(109,a,96,a)].
% 0.82/1.14 Derived: -eqangle(c3,A,c3,c10,c11,c3,c11,c10) | perp(c5,c3,c3,A). [resolve(109,a,98,a)].
% 0.82/1.14 Derived: -midp(A,c10,c11) | eqangle(c3,c10,c3,c11,c5,c10,c5,A). [resolve(109,a,99,a)].
% 0.82/1.14 Derived: -coll(A,c10,c11) | -eqangle(c3,c10,c3,c11,c5,c10,c5,A) | midp(A,c10,c11). [resolve(109,a,100,a)].
% 0.82/1.14 Derived: -coll(c5,c3,c11) | perp(c3,c10,c10,c11). [resolve(109,a,101,a)].
% 88.78/89.07 Derived: perp(f12(c3,c10,c11,c5),c3,c3,c5). [resolve(109,a,102,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c10) | B = c5 | coll(f13(c3,c10,c11,A,c5,B),c3,c11). [resolve(109,a,103,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c10) | B = c5 | cong(f13(c3,c10,c11,A,c5,B),B,B,c3). [resolve(109,a,104,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c10) | B = c5 | coll(f14(c3,c10,c11,A,c5,B),c10,A). [resolve(109,a,105,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c10) | B = c5 | cong(f14(c3,c10,c11,A,c5,B),B,B,c3). [resolve(109,a,106,a)].
% 88.78/89.07 110 circle(c5,c3,c7,c12) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 Derived: -perp(c5,c3,c3,A) | eqangle(c3,A,c3,c7,c12,c3,c12,c7). [resolve(110,a,96,a)].
% 88.78/89.07 Derived: -eqangle(c3,A,c3,c7,c12,c3,c12,c7) | perp(c5,c3,c3,A). [resolve(110,a,98,a)].
% 88.78/89.07 Derived: -midp(A,c7,c12) | eqangle(c3,c7,c3,c12,c5,c7,c5,A). [resolve(110,a,99,a)].
% 88.78/89.07 Derived: -coll(A,c7,c12) | -eqangle(c3,c7,c3,c12,c5,c7,c5,A) | midp(A,c7,c12). [resolve(110,a,100,a)].
% 88.78/89.07 Derived: -coll(c5,c3,c12) | perp(c3,c7,c7,c12). [resolve(110,a,101,a)].
% 88.78/89.07 Derived: perp(f12(c3,c7,c12,c5),c3,c3,c5). [resolve(110,a,102,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c7) | B = c5 | coll(f13(c3,c7,c12,A,c5,B),c3,c12). [resolve(110,a,103,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c7) | B = c5 | cong(f13(c3,c7,c12,A,c5,B),B,B,c3). [resolve(110,a,104,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c7) | B = c5 | coll(f14(c3,c7,c12,A,c5,B),c7,A). [resolve(110,a,105,a)].
% 88.78/89.07 Derived: -cong(c5,c3,c5,A) | -cong(B,c3,B,c7) | B = c5 | cong(f14(c3,c7,c12,A,c5,B),B,B,c3). [resolve(110,a,106,a)].
% 88.78/89.07
% 88.78/89.07 ============================== end predicate elimination =============
% 88.78/89.07
% 88.78/89.07 Auto_denials: (non-Horn, no changes).
% 88.78/89.07
% 88.78/89.07 Term ordering decisions:
% 88.78/89.07 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. f19=1. f1=1. f2=1. f3=1. f4=1. f10=1. f11=1. f12=1. f16=1. f5=1. f9=1. f15=1. f17=1. f18=1. f6=1. f13=1. f14=1. f20=1. f7=1. f8=1.
% 88.78/89.07
% 88.78/89.07 ============================== end of process initial clauses ========
% 88.78/89.07
% 88.78/89.07 ============================== CLAUSES FOR SEARCH ====================
% 88.78/89.07
% 88.78/89.07 ============================== end of clauses for search =============
% 88.78/89.07
% 88.78/89.07 ============================== SEARCH ================================
% 88.78/89.07
% 88.78/89.07 % Starting search at 0.05 seconds.
% 88.78/89.07
% 88.78/89.07 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.18 sec).
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=29.000, iters=3338
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=28.000, iters=3393
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=24.000, iters=3346
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=23.000, iters=3376
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=22.000, iters=3382
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=19.000, iters=3353
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=18.000, iters=3337
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=17.000, iters=3337
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=15.000, iters=3343
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=14.000, iters=3334
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=13.000, iters=3382
% 88.78/89.07
% 88.78/89.07 Low Water (displace): id=7620, wt=48.000
% 88.78/89.07
% 88.78/89.07 Low Water (displace): id=13458, wt=10.000
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=12.000, iters=3385
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=11.000, iters=3334
% 88.78/89.07
% 88.78/89.07 Low Water (displace): id=13699, wt=9.000
% 88.78/89.07
% 88.78/89.07 Low Water (displace): id=13758, wt=8.000
% 88.78/89.07
% 88.78/89.07 Low Water (displace): id=16484, wt=7.000
% 88.78/89.07
% 88.78/89.07 Low Water (displace): id=16774, wt=5.000
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=10.000, iters=3333
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=9.000, iters=3334
% 88.78/89.07
% 88.78/89.07 Low Water (keep): wt=8.000, iters=3335
% 88.78/89.07
% 88.78/89.07 ============================== PROOF =================================
% 88.78/89.07 % SZS status Theorem
% 88.78/89.07 % SZS output start Refutation
% 88.78/89.07
% 88.78/89.07 % Proof 1 at 87.62 (+ 0.32) seconds.
% 88.78/89.07 % Length of proof is 244.
% 88.78/89.07 % Level of proof is 35.
% 88.78/89.07 % Maximum clause weight is 22.000.
% 88.78/89.07 % Given clauses 36551.
% 88.78/89.07
% 88.78/89.07 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 88.78/89.07 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 88.78/89.07 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].
% 88.78/89.07 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 88.78/89.07 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 88.78/89.07 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].
% 88.78/89.07 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].
% 88.78/89.07 95 -(all B all C all A all D all O all M all G all F all E all NWPNT1 all NWPNT2 all NWPNT3 (perp(A,B,A,C) & perp(D,A,B,C) & coll(D,B,C) & midp(O,C,B) & circle(O,A,NWPNT1,NWPNT2) & perp(M,B,A,O) & coll(M,A,O) & coll(G,B,M) & circle(O,A,G,NWPNT3) & coll(F,C,A) & coll(F,B,M) & coll(E,A,D) & coll(E,B,M) -> cong(E,A,E,B))) # label(exemplo6GDDFULL416054) # label(negated_conjecture) # label(non_clause). [assumption].
% 88.78/89.07 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 88.78/89.07 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 88.78/89.07 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 88.78/89.07 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 88.78/89.07 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 88.78/89.07 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 88.78/89.07 115 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 88.78/89.07 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 88.78/89.07 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 88.78/89.07 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 88.78/89.07 120 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 88.78/89.07 121 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 88.78/89.07 122 -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | cyclic(B,C,D,E) # label(ruleD13) # label(axiom). [clausify(13)].
% 88.78/89.07 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 88.78/89.07 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 88.78/89.07 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 88.78/89.07 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 88.78/89.07 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 88.78/89.07 133 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 88.78/89.07 134 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 88.78/89.07 138 -eqratio(A,B,C,D,E,F,V6,V7) | eqratio(A,B,E,F,C,D,V6,V7) # label(ruleD29) # label(axiom). [clausify(29)].
% 88.78/89.07 149 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 88.78/89.07 155 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 88.78/89.07 158 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 88.78/89.07 160 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 88.78/89.07 161 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 88.78/89.07 162 -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)].
% 88.78/89.07 168 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 88.78/89.07 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 88.78/89.07 170 -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)].
% 88.78/89.07 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 88.78/89.07 172 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 88.78/89.07 173 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 88.78/89.07 174 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 88.78/89.07 178 -eqangle(A,B,C,D,E,F,V6,V7) | -perp(E,F,V6,V7) | perp(A,B,C,D) # label(ruleD74) # label(axiom). [clausify(75)].
% 88.78/89.07 179 -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)].
% 88.78/89.07 210 perp(c3,c1,c3,c2) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 211 perp(c4,c3,c1,c2) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 212 coll(c4,c1,c2) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 213 midp(c5,c2,c1) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 214 perp(c6,c1,c3,c5) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 215 coll(c6,c3,c5) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 219 coll(c9,c3,c4) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 220 coll(c9,c1,c6) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 221 -cong(c9,c3,c9,c1) # label(exemplo6GDDFULL416054) # label(negated_conjecture). [clausify(95)].
% 88.78/89.07 226 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 88.78/89.07 288 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 88.78/89.07 290 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(122,a,b)].
% 88.78/89.07 293 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 88.78/89.07 299 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(162,a,b)].
% 88.78/89.07 302 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 88.78/89.07 327 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(226,c,d)].
% 88.78/89.07 342 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(290,a,b)].
% 88.78/89.07 361 -perp(c3,c2,A,B) | para(c3,c1,A,B). [resolve(210,a,119,a)].
% 88.78/89.07 362 perp(c3,c2,c3,c1). [resolve(210,a,118,a)].
% 88.78/89.07 363 perp(c3,c1,c2,c3). [resolve(210,a,117,a)].
% 88.78/89.07 377 perp(c1,c2,c4,c3). [resolve(211,a,118,a)].
% 88.78/89.07 381 coll(c1,c4,c2). [resolve(212,a,112,a)].
% 88.78/89.07 393 coll(c5,c2,c1). [resolve(213,a,174,a)].
% 88.78/89.07 394 cong(c5,c2,c5,c1). [resolve(213,a,173,a)].
% 88.78/89.07 396 -midp(c5,A,B) | para(c2,A,c1,B). [resolve(213,a,168,a)].
% 88.78/89.07 399 midp(c5,c1,c2). [resolve(213,a,121,a)].
% 88.78/89.07 412 -perp(A,B,c6,c1) | para(A,B,c3,c5). [resolve(214,a,119,b)].
% 88.78/89.07 415 perp(c6,c1,c5,c3). [resolve(214,a,117,a)].
% 88.78/89.07 418 coll(c3,c6,c5). [resolve(215,a,112,a)].
% 88.78/89.07 432 -coll(c9,c3,A) | coll(A,c4,c9). [resolve(219,a,113,b)].
% 88.78/89.07 438 coll(c1,c9,c6). [resolve(220,a,112,a)].
% 88.78/89.07 439 coll(c9,c6,c1). [resolve(220,a,111,a)].
% 88.78/89.07 490 coll(c6,c6,c9). [resolve(288,a,220,a)].
% 88.78/89.07 505 -coll(c1,c4,A) | coll(A,c2,c1). [resolve(381,a,113,b)].
% 88.78/89.07 513 coll(c1,c1,c5). [resolve(393,a,288,a)].
% 88.78/89.07 536 cong(c5,c1,c5,c2). [resolve(399,a,173,a)].
% 88.78/89.07 541 coll(c5,c5,c3). [resolve(418,a,288,a)].
% 88.78/89.07 543 -coll(c3,c6,A) | coll(c5,A,c3). [resolve(418,a,113,a)].
% 88.78/89.07 544 coll(c3,c5,c6). [resolve(418,a,111,a)].
% 88.78/89.07 600 -coll(c1,c9,A) | coll(A,c6,c1). [resolve(438,a,113,b)].
% 88.78/89.07 605 -coll(c9,c6,A) | coll(c1,A,c9). [resolve(439,a,113,a)].
% 88.78/89.07 623 -coll(c6,c6,A) | coll(A,c9,c6). [resolve(490,a,113,b)].
% 88.78/89.07 669 coll(c5,c5,c1). [resolve(513,a,288,a)].
% 88.78/89.07 672 coll(c1,c5,c1). [resolve(513,a,111,a)].
% 88.78/89.07 683 coll(c5,c3,c5). [resolve(541,a,111,a)].
% 88.78/89.07 684 coll(c6,c6,c3). [resolve(544,a,288,a)].
% 88.78/89.07 726 para(c3,c1,c3,c1). [resolve(362,a,361,a)].
% 88.78/89.07 766 perp(c2,c3,c3,c1). [resolve(363,a,118,a)].
% 88.78/89.07 843 coll(c5,c1,c5). [resolve(669,a,111,a)].
% 88.78/89.07 846 coll(c5,c1,c1). [resolve(672,a,112,a)].
% 88.78/89.07 861 coll(c3,c5,c5). [resolve(683,a,112,a)].
% 88.78/89.07 946 -perp(A,B,c1,c2) | para(A,B,c4,c3). [resolve(377,a,119,b)].
% 88.78/89.07 948 perp(c1,c2,c3,c4). [resolve(377,a,117,a)].
% 88.78/89.07 1016 coll(c1,c5,c5). [resolve(843,a,112,a)].
% 88.78/89.07 1146 perp(c2,c1,c1,c1). [resolve(394,a,327,c),unit_del(a,393)].
% 88.78/89.07 1177 -cong(A,B,c5,c2) | cong(A,B,c5,c1). [resolve(394,a,134,b)].
% 88.78/89.07 1179 cong(c5,c2,c1,c5). [resolve(394,a,132,a)].
% 88.78/89.07 1201 para(c2,c1,c1,c2). [resolve(396,a,399,a)].
% 88.78/89.07 1247 perp(c5,c3,c6,c1). [resolve(415,a,118,a)].
% 88.78/89.07 1310 cyclic(c1,c2,c2,c2). [resolve(536,a,342,a)].
% 88.78/89.07 1354 -cong(c5,c1,c5,A) | cyclic(c1,A,A,c2). [resolve(536,a,290,b)].
% 88.78/89.07 1387 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(726,a,302,b)].
% 88.78/89.07 1394 coll(c3,c1,c1). [resolve(726,a,171,a)].
% 88.78/89.07 1396 -midp(c3,A,c3) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(726,a,155,b)].
% 88.78/89.07 1398 para(c3,c1,c1,c3). [resolve(726,a,114,a)].
% 88.78/89.07 1399 coll(c1,c1,c3). [resolve(1394,a,288,a)].
% 88.78/89.07 1402 coll(c1,c3,c1). [resolve(1394,a,112,a)].
% 88.78/89.07 1405 coll(c3,c3,c1). [resolve(1399,a,288,a)].
% 88.78/89.07 1412 coll(c3,c1,c3). [resolve(1405,a,111,a)].
% 88.78/89.07 1465 -midp(c3,c3,c1) | cong(c2,c3,c2,c1). [resolve(766,a,160,b)].
% 88.78/89.07 1466 -midp(A,c2,c1) | cong(c2,A,c3,A). [resolve(766,a,158,a)].
% 88.78/89.07 1506 -perp(A,B,c1,c2) | para(A,B,c3,c4). [resolve(948,a,119,b)].
% 88.78/89.07 1560 -midp(c1,c1,c1) | cong(c2,c1,c2,c1). [resolve(1146,a,160,b)].
% 88.78/89.07 1575 cong(c1,c5,c5,c2). [resolve(1179,a,133,a)].
% 88.78/89.07 1601 -coll(A,c2,c1) | -coll(A,c1,c2) | eqratio(A,c2,c2,c1,A,c1,c1,c2). [resolve(1201,a,170,a)].
% 88.78/89.07 1680 cyclic(c2,c1,c2,c2). [resolve(1310,a,125,a)].
% 88.78/89.07 1731 para(c1,c3,c3,c1). [resolve(1398,a,115,a)].
% 88.78/89.07 1896 cong(c1,c5,c2,c5). [resolve(1575,a,132,a)].
% 88.78/89.07 1973 cyclic(c2,c2,c1,c2). [resolve(1680,a,124,a)].
% 88.78/89.07 1991 para(c5,c3,c3,c5). [resolve(412,a,1247,a)].
% 88.78/89.07 2024 para(c1,c3,c1,c3). [resolve(1731,a,114,a)].
% 88.78/89.07 2112 -cong(c1,A,c2,A) | perp(c1,c2,A,c5). [resolve(1896,a,161,b)].
% 88.78/89.07 2145 cyclic(c2,c2,c2,c1). [resolve(1973,a,123,a)].
% 88.78/89.07 2179 para(c5,c3,c5,c3). [resolve(1991,a,114,a)].
% 88.78/89.07 2220 -midp(A,c1,c1) | midp(A,c3,c3). [resolve(2024,a,302,b)].
% 88.78/89.07 2319 cyclic(c2,c2,c1,c1). [resolve(2145,a,293,a)].
% 88.78/89.07 2373 -midp(A,c5,c5) | midp(A,c3,c3). [resolve(2179,a,302,b)].
% 88.78/89.07 2489 -cong(c2,c1,c2,c1) | perp(c1,c2,c2,c1). [resolve(2319,a,299,b)].
% 88.78/89.07 2769 coll(c3,c9,c6). [resolve(623,a,684,a)].
% 88.78/89.07 2777 coll(c9,c3,c6). [resolve(2769,a,112,a)].
% 88.78/89.07 2800 coll(c6,c4,c9). [resolve(2777,a,432,a)].
% 88.78/89.07 2803 coll(c9,c6,c3). [resolve(2777,a,111,a)].
% 88.78/89.07 2851 coll(c6,c9,c4). [resolve(2800,a,111,a)].
% 88.78/89.07 2852 coll(c1,c3,c9). [resolve(2803,a,605,a)].
% 88.78/89.07 2943 coll(c9,c6,c4). [resolve(2851,a,112,a)].
% 88.78/89.07 2946 coll(c1,c9,c3). [resolve(2852,a,111,a)].
% 88.78/89.07 3078 coll(c1,c4,c9). [resolve(2943,a,605,a)].
% 88.78/89.07 3083 coll(c3,c6,c1). [resolve(2946,a,600,a)].
% 88.78/89.07 3228 coll(c9,c2,c1). [resolve(3078,a,505,a)].
% 88.78/89.07 3242 coll(c5,c1,c3). [resolve(3083,a,543,a)].
% 88.78/89.07 3316 coll(c9,c1,c2). [resolve(3228,a,111,a)].
% 88.78/89.07 3353 coll(c5,c3,c1). [resolve(3242,a,111,a)].
% 88.78/89.07 5704 cong(c1,c5,c5,c1). [resolve(1177,a,1575,a)].
% 88.78/89.07 5705 cong(c5,c1,c5,c1). [resolve(1177,a,536,a)].
% 88.78/89.07 5708 cong(c1,c5,c1,c5). [resolve(5704,a,132,a)].
% 88.78/89.07 5793 midp(c5,c1,c1). [resolve(5705,a,172,a),unit_del(a,846)].
% 88.78/89.07 5815 midp(c5,c3,c3). [resolve(5793,a,2220,a)].
% 88.78/89.07 5988 cong(c5,c3,c5,c3). [resolve(5815,a,173,a)].
% 88.78/89.07 6238 midp(c1,c5,c5). [resolve(5708,a,172,a),unit_del(a,1016)].
% 88.78/89.07 6248 midp(c1,c3,c3). [resolve(6238,a,2373,a)].
% 88.78/89.07 6292 midp(c1,c1,c1). [resolve(6248,a,1387,a)].
% 88.78/89.07 6336 cong(c2,c1,c2,c1). [back_unit_del(1560),unit_del(a,6292)].
% 88.78/89.07 6339 perp(c1,c2,c2,c1). [back_unit_del(2489),unit_del(a,6336)].
% 88.78/89.07 7198 cong(c5,c3,c3,c5). [resolve(5988,a,132,a)].
% 88.78/89.07 8248 cong(c2,c1,c1,c2). [resolve(6336,a,132,a)].
% 88.78/89.07 8276 perp(c1,c2,c1,c2). [resolve(6339,a,117,a)].
% 88.78/89.07 8861 cong(c3,c5,c5,c3). [resolve(7198,a,133,a)].
% 88.78/89.07 9237 para(c1,c2,c4,c3). [resolve(8276,a,946,a)].
% 88.78/89.07 9414 cong(c3,c5,c3,c5). [resolve(8861,a,132,a)].
% 88.78/89.07 9574 para(c1,c2,c3,c4). [resolve(9237,a,114,a)].
% 88.78/89.07 9911 midp(c3,c5,c5). [resolve(9414,a,172,a),unit_del(a,861)].
% 88.78/89.07 9920 midp(c3,c3,c3). [resolve(9911,a,2373,a)].
% 88.78/89.07 10535 para(c3,c4,c1,c2). [resolve(9574,a,115,a)].
% 88.78/89.07 11033 -perp(c1,c2,A,B) | perp(c3,c4,A,B). [resolve(10535,a,120,a)].
% 88.78/89.07 12786 midp(c1,c3,c1). [resolve(1396,a,9920,a),unit_del(a,1402)].
% 88.78/89.07 12814 cong(c1,c3,c1,c1). [resolve(12786,a,173,a)].
% 88.78/89.07 12819 midp(c1,c1,c3). [resolve(12786,a,121,a)].
% 88.78/89.07 12849 cong(c1,c1,c1,c3). [resolve(12819,a,173,a)].
% 88.78/89.07 12858 cyclic(c3,c1,c1,c1). [resolve(12814,a,342,a)].
% 88.78/89.07 12905 cong(c1,c1,c3,c1). [resolve(12849,a,132,a)].
% 88.78/89.07 12906 -cong(c3,c1,c1,c1) | perp(c1,c3,c3,c1). [resolve(12858,a,299,b)].
% 88.78/89.07 12957 cong(c3,c1,c1,c1). [resolve(12905,a,133,a)].
% 88.78/89.07 12958 perp(c1,c3,c3,c1). [back_unit_del(12906),unit_del(a,12957)].
% 88.78/89.07 13050 perp(c3,c1,c1,c3). [resolve(12958,a,118,a)].
% 88.78/89.07 13130 cong(c3,c1,c3,c3). [resolve(13050,a,160,b),unit_del(a,12819)].
% 88.78/89.07 13311 midp(c3,c1,c3). [resolve(13130,a,172,a),unit_del(a,1412)].
% 88.78/89.07 13315 cong(c3,c3,c3,c1). [resolve(13130,a,133,a)].
% 88.78/89.07 13354 midp(c3,c3,c1). [resolve(13311,a,121,a)].
% 88.78/89.07 13364 cong(c2,c3,c2,c1). [back_unit_del(1465),unit_del(a,13354)].
% 88.78/89.07 13607 cong(c3,c3,c1,c3). [resolve(13315,a,132,a)].
% 88.78/89.07 13757 cong(c2,c3,c1,c2). [resolve(13364,a,132,a)].
% 88.78/89.07 13894 cong(c1,c3,c3,c3). [resolve(13607,a,133,a)].
% 88.78/89.07 14125 cong(c1,c2,c2,c3). [resolve(13757,a,133,a)].
% 88.78/89.07 14337 cong(c1,c2,c3,c2). [resolve(14125,a,132,a)].
% 88.78/89.07 14384 cong(c2,c5,c3,c5). [resolve(1466,a,213,a)].
% 88.78/89.07 14524 cong(c3,c5,c2,c5). [resolve(14384,a,133,a)].
% 88.78/89.07 14525 cong(c2,c5,c5,c3). [resolve(14384,a,132,a)].
% 88.78/89.07 14790 cong(c3,c5,c5,c2). [resolve(14524,a,132,a)].
% 88.78/89.07 14793 cong(c5,c3,c2,c5). [resolve(14525,a,133,a)].
% 88.78/89.07 15025 cong(c3,c5,c5,c1). [resolve(14790,a,1177,a)].
% 88.78/89.07 15031 cong(c5,c3,c5,c2). [resolve(14793,a,132,a)].
% 88.78/89.07 15248 cong(c5,c1,c3,c5). [resolve(15025,a,133,a)].
% 88.78/89.07 15253 cong(c5,c3,c5,c1). [resolve(15031,a,1177,a)].
% 88.78/89.07 15542 cong(c5,c1,c5,c3). [resolve(15248,a,132,a)].
% 88.78/89.07 15582 midp(c5,c3,c1). [resolve(15253,a,172,a),unit_del(a,3353)].
% 88.78/89.07 15829 cyclic(c1,c3,c3,c2). [resolve(15542,a,1354,a)].
% 88.78/89.07 16423 perp(c3,c1,c1,c2). [resolve(15829,a,162,c),unit_del(a,13894),unit_del(b,14337)].
% 88.78/89.07 16758 para(c3,c1,c3,c4). [resolve(16423,a,1506,a)].
% 88.78/89.07 17121 eqangle(c3,c1,A,B,c3,c4,A,B). [resolve(16758,a,149,a)].
% 88.78/89.07 17134 eqratio(c9,c2,c2,c1,c9,c1,c1,c2). [resolve(1601,a,3228,a),unit_del(a,3316)].
% 88.78/89.07 49121 -perp(c3,c4,A,B) | perp(c3,c1,A,B). [resolve(17121,a,178,a)].
% 88.78/89.07 49149 eqratio(c9,c2,c9,c1,c2,c1,c1,c2). [resolve(17134,a,138,a)].
% 88.78/89.07 61858 cong(c9,c2,c9,c1). [resolve(49149,a,179,a),unit_del(a,8248)].
% 88.78/89.07 61953 cong(c9,c2,c1,c9). [resolve(61858,a,132,a)].
% 88.78/89.07 62027 cong(c1,c9,c9,c2). [resolve(61953,a,133,a)].
% 88.78/89.07 62078 cong(c1,c9,c2,c9). [resolve(62027,a,132,a)].
% 88.78/89.07 62108 perp(c1,c2,c9,c5). [resolve(62078,a,2112,a)].
% 88.78/89.07 62229 perp(c3,c4,c9,c5). [resolve(62108,a,11033,a)].
% 88.78/89.07 62578 perp(c3,c1,c9,c5). [resolve(62229,a,49121,a)].
% 88.78/89.07 63216 perp(c9,c5,c3,c1). [resolve(62578,a,118,a)].
% 88.78/89.07 64074 $F. [resolve(63216,a,160,b),unit_del(a,15582),unit_del(b,221)].
% 88.78/89.07
% 88.78/89.07 % SZS output end Refutation
% 88.78/89.07 ============================== end of proof ==========================
% 88.78/89.07
% 88.78/89.07 ============================== STATISTICS ============================
% 88.78/89.07
% 88.78/89.07 Given=36551. Generated=519099. Kept=63947. proofs=1.
% 88.78/89.07 Usable=34558. Sos=9573. Demods=0. Limbo=0, Disabled=19993. Hints=0.
% 88.78/89.07 Megabytes=29.19.
% 88.78/89.07 User_CPU=87.62, System_CPU=0.32, Wall_clock=88.
% 88.78/89.07
% 88.78/89.07 ============================== end of statistics =====================
% 88.78/89.07
% 88.78/89.07 ============================== end of search =========================
% 88.78/89.07
% 88.78/89.07 THEOREM PROVED
% 88.78/89.07 % SZS status Theorem
% 88.78/89.07
% 88.78/89.07 Exiting with 1 proof.
% 88.78/89.07
% 88.78/89.07 Process 28551 exit (max_proofs) Sat Jun 18 12:09:52 2022
% 88.78/89.07 Prover9 interrupted
%------------------------------------------------------------------------------