TSTP Solution File: GEO587+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:57:06 EDT 2022
% Result : Theorem 99.59s 99.91s
% Output : Refutation 99.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 03:09:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/1.07 ============================== Prover9 ===============================
% 0.41/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.41/1.07 Process 3122 was started by sandbox2 on n022.cluster.edu,
% 0.41/1.07 Sat Jun 18 03:09:18 2022
% 0.41/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2969_n022.cluster.edu".
% 0.41/1.07 ============================== end of head ===========================
% 0.41/1.07
% 0.41/1.07 ============================== INPUT =================================
% 0.41/1.07
% 0.41/1.07 % Reading from file /tmp/Prover9_2969_n022.cluster.edu
% 0.41/1.07
% 0.41/1.07 set(prolog_style_variables).
% 0.41/1.07 set(auto2).
% 0.41/1.07 % set(auto2) -> set(auto).
% 0.41/1.07 % set(auto) -> set(auto_inference).
% 0.41/1.07 % set(auto) -> set(auto_setup).
% 0.41/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.41/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/1.07 % set(auto) -> set(auto_limits).
% 0.41/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/1.07 % set(auto) -> set(auto_denials).
% 0.41/1.07 % set(auto) -> set(auto_process).
% 0.41/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.41/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.41/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.41/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.41/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.41/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.41/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.41/1.07 % set(auto2) -> assign(stats, some).
% 0.41/1.07 % set(auto2) -> clear(echo_input).
% 0.41/1.07 % set(auto2) -> set(quiet).
% 0.41/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.41/1.07 % set(auto2) -> clear(print_given).
% 0.41/1.07 assign(lrs_ticks,-1).
% 0.41/1.07 assign(sos_limit,10000).
% 0.41/1.07 assign(order,kbo).
% 0.41/1.07 set(lex_order_vars).
% 0.41/1.07 clear(print_given).
% 0.41/1.07
% 0.41/1.07 % formulas(sos). % not echoed (95 formulas)
% 0.41/1.07
% 0.41/1.07 ============================== end of input ==========================
% 0.41/1.07
% 0.41/1.07 % From the command line: assign(max_seconds, 300).
% 0.41/1.07
% 0.41/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/1.07
% 0.41/1.07 % Formulas that are not ordinary clauses:
% 0.41/1.07 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.07 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.07 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].
% 0.41/1.07 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.07 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 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].
% 0.41/1.07 95 -(all A all C all B all D all P all Q all R all S all O (perp(A,C,B,D) & midp(P,B,A) & midp(Q,C,B) & midp(R,D,C) & midp(S,A,D) & coll(O,P,R) & coll(O,Q,S) -> cong(O,S,O,R))) # label(exemplo6GDDFULL416049) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.41/1.07
% 0.41/1.07 ============================== end of process non-clausal formulas ===
% 0.41/1.07
% 0.41/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/1.07
% 0.41/1.07 ============================== PREDICATE ELIMINATION =================
% 0.41/1.07 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)].
% 0.41/1.07 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.41/1.07 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)].
% 0.41/1.07 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)].
% 0.41/1.07 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)].
% 0.41/1.07 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)].
% 0.41/1.07 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)].
% 0.41/1.07 100 -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)].
% 0.41/1.07 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)].
% 0.41/1.07 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.41/1.07 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)].
% 0.41/1.07 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.41/1.07 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)].
% 0.41/1.07 103 -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)].
% 0.41/1.07 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)].
% 0.41/1.07 104 -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)].
% 0.41/1.07 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)].
% 0.41/1.07 105 -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)].
% 0.41/1.07 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)].
% 0.41/1.07 106 -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)].
% 0.41/1.07 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)].
% 0.41/1.07 107 -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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 108 -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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28 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)].
% 0.99/1.28
% 0.99/1.28 ============================== end predicate elimination =============
% 0.99/1.28
% 0.99/1.28 Auto_denials: (non-Horn, no changes).
% 0.99/1.28
% 0.99/1.28 Term ordering decisions:
% 0.99/1.28 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.
% 0.99/1.28
% 0.99/1.28 ============================== end of process initial clauses ========
% 0.99/1.28
% 0.99/1.28 ============================== CLAUSES FOR SEARCH ====================
% 0.99/1.28
% 0.99/1.28 ============================== end of clauses for search =============
% 0.99/1.28
% 0.99/1.28 ============================== SEARCH ================================
% 0.99/1.28
% 0.99/1.28 % Starting search at 0.04 seconds.
% 0.99/1.28
% 0.99/1.28 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.22 sec).
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=48.000, iters=3455
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=25.000, iters=3373
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=24.000, iters=3348
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=23.000, iters=3368
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=22.000, iters=3338
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=21.000, iters=3376
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=20.000, iters=3380
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=19.000, iters=3354
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=17.000, iters=3346
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=16.000, iters=3351
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=15.000, iters=3338
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=4736, wt=53.000
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=13716, wt=14.000
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=13726, wt=13.000
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=14.000, iters=3361
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=14189, wt=11.000
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=14299, wt=10.000
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=14722, wt=9.000
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=13.000, iters=3343
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=14934, wt=8.000
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=12.000, iters=3333
% 99.59/99.91
% 99.59/99.91 Low Water (displace): id=20599, wt=5.000
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=11.000, iters=3338
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=10.000, iters=3356
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=9.000, iters=3340
% 99.59/99.91
% 99.59/99.91 Low Water (keep): wt=8.000, iters=3333
% 99.59/99.91
% 99.59/99.91 ============================== PROOF =================================
% 99.59/99.91 % SZS status Theorem
% 99.59/99.91 % SZS output start Refutation
% 99.59/99.91
% 99.59/99.91 % Proof 1 at 98.31 (+ 0.55) seconds.
% 99.59/99.91 % Length of proof is 275.
% 99.59/99.91 % Level of proof is 29.
% 99.59/99.91 % Maximum clause weight is 29.000.
% 99.59/99.91 % Given clauses 48677.
% 99.59/99.91
% 99.59/99.91 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 99.59/99.91 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 99.59/99.91 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].
% 99.59/99.91 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 99.59/99.91 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 99.59/99.91 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].
% 99.59/99.91 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].
% 99.59/99.91 95 -(all A all C all B all D all P all Q all R all S all O (perp(A,C,B,D) & midp(P,B,A) & midp(Q,C,B) & midp(R,D,C) & midp(S,A,D) & coll(O,P,R) & coll(O,Q,S) -> cong(O,S,O,R))) # label(exemplo6GDDFULL416049) # label(negated_conjecture) # label(non_clause). [assumption].
% 99.59/99.91 109 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 99.59/99.91 110 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 99.59/99.91 111 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 99.59/99.91 112 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 99.59/99.91 113 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 99.59/99.91 116 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 99.59/99.91 117 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 99.59/99.91 118 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 99.59/99.91 119 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 99.59/99.91 120 -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)].
% 99.59/99.91 122 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 99.59/99.91 123 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 99.59/99.91 124 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 99.59/99.91 130 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 99.59/99.91 131 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 99.59/99.91 132 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 99.59/99.91 136 -eqratio(A,B,C,D,E,F,V6,V7) | eqratio(A,B,E,F,C,D,V6,V7) # label(ruleD29) # label(axiom). [clausify(29)].
% 99.59/99.91 147 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 99.59/99.91 151 -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)].
% 99.59/99.91 152 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 99.59/99.91 153 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 99.59/99.91 158 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 99.59/99.91 159 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 99.59/99.91 166 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 99.59/99.91 167 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 99.59/99.91 168 -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)].
% 99.59/99.91 169 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 99.59/99.91 170 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 99.59/99.91 171 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 99.59/99.91 172 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 99.59/99.91 177 -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)].
% 99.59/99.91 191 -midp(A,B,C) | -midp(D,E,F) | -coll(E,B,C) | -coll(F,B,C) | midp(f7(B,C,E,F,A,D,V6),B,V6) # label(ruleX7) # label(axiom). [clausify(83)].
% 99.59/99.91 208 perp(c1,c2,c3,c4) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 209 midp(c5,c3,c1) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 210 midp(c6,c2,c3) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 211 midp(c7,c4,c2) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 212 midp(c8,c1,c4) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 213 coll(c9,c5,c7) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 214 coll(c9,c6,c8) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 215 -cong(c9,c8,c9,c7) # label(exemplo6GDDFULL416049) # label(negated_conjecture). [clausify(95)].
% 99.59/99.91 254 -coll(A,B,C) | coll(C,C,A). [factor(111,a,b)].
% 99.59/99.91 256 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(120,a,b)].
% 99.59/99.91 259 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(124,a,b)].
% 99.59/99.91 262 -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(151,b,c)].
% 99.59/99.91 263 -midp(A,B,C) | para(A,A,C,C). [factor(152,a,b)].
% 99.59/99.91 264 -cong(A,B,C,B) | perp(A,C,B,B). [factor(159,a,b)].
% 99.59/99.91 267 -midp(A,B,C) | para(B,B,C,C). [factor(166,a,b)].
% 99.59/99.91 268 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(167,b,c)].
% 99.59/99.91 269 -para(A,A,B,B) | -coll(C,A,B) | eqratio(C,A,A,B,C,A,A,B). [factor(168,b,c)].
% 99.59/99.91 274 -midp(A,B,C) | -coll(B,B,C) | -coll(C,B,C) | midp(f7(B,C,B,C,A,A,D),B,D). [factor(191,a,b)].
% 99.59/99.91 308 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(256,a,b)].
% 99.59/99.91 328 -perp(A,B,c1,c2) | para(A,B,c3,c4). [resolve(208,a,117,b)].
% 99.59/99.91 329 -perp(c3,c4,A,B) | para(c1,c2,A,B). [resolve(208,a,117,a)].
% 99.59/99.91 330 perp(c3,c4,c1,c2). [resolve(208,a,116,a)].
% 99.59/99.91 342 coll(c5,c3,c1). [resolve(209,a,172,a)].
% 99.59/99.91 343 cong(c5,c3,c5,c1). [resolve(209,a,171,a)].
% 99.59/99.91 344 -midp(c5,A,B) | para(A,c3,B,c1). [resolve(209,a,166,b)].
% 99.59/99.91 345 -midp(c5,A,B) | para(c3,A,c1,B). [resolve(209,a,166,a)].
% 99.59/99.91 348 midp(c5,c1,c3). [resolve(209,a,119,a)].
% 99.59/99.91 360 coll(c6,c2,c3). [resolve(210,a,172,a)].
% 99.59/99.91 361 cong(c6,c2,c6,c3). [resolve(210,a,171,a)].
% 99.59/99.91 362 -midp(c6,A,B) | para(A,c2,B,c3). [resolve(210,a,166,b)].
% 99.59/99.91 363 -midp(c6,A,B) | para(c2,A,c3,B). [resolve(210,a,166,a)].
% 99.59/99.91 366 midp(c6,c3,c2). [resolve(210,a,119,a)].
% 99.59/99.91 378 coll(c7,c4,c2). [resolve(211,a,172,a)].
% 99.59/99.91 382 -midp(A,c4,B) | para(A,c7,B,c2). [resolve(211,a,152,b)].
% 99.59/99.91 383 -midp(A,c4,B) | para(c7,A,c2,B). [resolve(211,a,152,a)].
% 99.59/99.91 396 coll(c8,c1,c4). [resolve(212,a,172,a)].
% 99.59/99.91 397 cong(c8,c1,c8,c4). [resolve(212,a,171,a)].
% 99.59/99.91 402 midp(c8,c4,c1). [resolve(212,a,119,a)].
% 99.59/99.91 404 -coll(c9,c5,A) | coll(A,c7,c9). [resolve(213,a,111,b)].
% 99.59/99.91 410 coll(c6,c9,c8). [resolve(214,a,110,a)].
% 99.59/99.91 411 coll(c9,c8,c6). [resolve(214,a,109,a)].
% 99.59/99.91 412 coll(c8,c8,c9). [resolve(254,a,214,a)].
% 99.59/99.91 414 para(c8,c8,c4,c4). [resolve(263,a,212,a)].
% 99.59/99.91 438 -coll(c1,c1,c4) | -coll(c4,c1,c4) | midp(f7(c1,c4,c1,c4,c8,c8,A),c1,A). [resolve(274,a,212,a)].
% 99.59/99.91 442 coll(c1,c1,c5). [resolve(342,a,254,a)].
% 99.59/99.91 465 cong(c5,c1,c5,c3). [resolve(348,a,171,a)].
% 99.59/99.91 466 -midp(c5,A,B) | para(A,c1,B,c3). [resolve(348,a,166,b)].
% 99.59/99.91 467 -midp(c5,A,B) | para(c1,A,c3,B). [resolve(348,a,166,a)].
% 99.59/99.91 470 coll(c3,c3,c6). [resolve(360,a,254,a)].
% 99.59/99.91 493 cong(c6,c3,c6,c2). [resolve(366,a,171,a)].
% 99.59/99.91 494 -midp(c6,A,B) | para(A,c3,B,c2). [resolve(366,a,166,b)].
% 99.59/99.91 500 -coll(c7,c4,A) | coll(c2,A,c7). [resolve(378,a,111,a)].
% 99.59/99.91 502 coll(c7,c2,c4). [resolve(378,a,109,a)].
% 99.59/99.91 526 coll(c4,c4,c8). [resolve(396,a,254,a)].
% 99.59/99.91 529 coll(c1,c8,c4). [resolve(396,a,110,a)].
% 99.59/99.91 530 coll(c8,c4,c1). [resolve(396,a,109,a)].
% 99.59/99.91 549 cong(c8,c4,c8,c1). [resolve(402,a,171,a)].
% 99.59/99.91 563 -coll(c6,c9,A) | coll(A,c8,c6). [resolve(410,a,111,b)].
% 99.59/99.91 568 -coll(c9,c8,A) | coll(c6,A,c9). [resolve(411,a,111,a)].
% 99.59/99.91 571 -coll(c8,c8,A) | coll(A,c9,c8). [resolve(412,a,111,b)].
% 99.59/99.91 572 -coll(c8,c8,A) | coll(c9,A,c8). [resolve(412,a,111,a)].
% 99.59/99.91 579 -coll(c1,c1,A) | coll(A,c5,c1). [resolve(442,a,111,b)].
% 99.59/99.91 581 coll(c1,c5,c1). [resolve(442,a,109,a)].
% 99.59/99.91 594 coll(c3,c6,c3). [resolve(470,a,109,a)].
% 99.59/99.91 613 coll(c4,c4,c7). [resolve(502,a,254,a)].
% 99.59/99.91 617 coll(c8,c8,c4). [resolve(526,a,254,a)].
% 99.59/99.91 618 -coll(c4,c4,A) | coll(A,c8,c4). [resolve(526,a,111,b)].
% 99.59/99.91 621 coll(c4,c4,c1). [resolve(529,a,254,a)].
% 99.59/99.91 624 coll(c1,c4,c8). [resolve(529,a,109,a)].
% 99.59/99.91 626 coll(c1,c1,c8). [resolve(530,a,254,a)].
% 99.59/99.91 676 coll(c5,c1,c1). [resolve(581,a,110,a)].
% 99.59/99.91 697 coll(c6,c3,c3). [resolve(594,a,110,a)].
% 99.59/99.91 719 para(c1,c2,c1,c2). [resolve(330,a,329,a)].
% 99.59/99.91 720 para(c3,c4,c3,c4). [resolve(330,a,328,a)].
% 99.59/99.91 765 coll(c8,c4,c8). [resolve(617,a,109,a)].
% 99.59/99.91 770 coll(c1,c1,c4). [resolve(621,a,254,a)].
% 99.59/99.91 773 coll(c4,c1,c4). [resolve(621,a,109,a)].
% 99.59/99.91 774 midp(f7(c1,c4,c1,c4,c8,c8,A),c1,A). [back_unit_del(438),unit_del(a,770),unit_del(b,773)].
% 99.59/99.91 775 coll(c8,c8,c1). [resolve(624,a,254,a)].
% 99.59/99.91 1033 -cong(A,B,c5,c3) | cong(A,B,c5,c1). [resolve(343,a,132,b)].
% 99.59/99.91 1046 coll(c4,c8,c8). [resolve(765,a,110,a)].
% 99.59/99.91 1048 para(c1,c3,c3,c1). [resolve(344,a,348,a)].
% 99.59/99.91 1061 coll(c8,c1,c8). [resolve(775,a,109,a)].
% 99.59/99.91 1062 para(c3,c1,c1,c3). [resolve(345,a,348,a)].
% 99.59/99.91 1172 coll(c1,c8,c8). [resolve(1061,a,110,a)].
% 99.59/99.91 1294 -cong(A,B,c6,c2) | cong(A,B,c6,c3). [resolve(361,a,132,b)].
% 99.59/99.91 1295 -cong(c6,c3,A,B) | cong(c6,c2,A,B). [resolve(361,a,132,a)].
% 99.59/99.91 1296 cong(c6,c2,c3,c6). [resolve(361,a,130,a)].
% 99.59/99.91 1466 -cong(A,B,c8,c1) | cong(A,B,c8,c4). [resolve(397,a,132,b)].
% 99.59/99.91 1468 cong(c8,c1,c4,c8). [resolve(397,a,130,a)].
% 99.59/99.91 1485 para(c4,c4,c8,c8). [resolve(414,a,113,a)].
% 99.59/99.91 1777 -cong(c6,c3,c6,A) | cyclic(c3,A,A,c2). [resolve(493,a,256,b)].
% 99.59/99.91 2026 cong(c8,c4,c1,c8). [resolve(549,a,130,a)].
% 99.59/99.91 2032 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(719,a,268,b)].
% 99.59/99.91 2039 coll(c1,c2,c2). [resolve(719,a,169,a)].
% 99.59/99.91 2042 eqangle(c1,c2,A,B,c1,c2,A,B). [resolve(719,a,147,a)].
% 99.59/99.91 2044 coll(c2,c2,c1). [resolve(2039,a,254,a)].
% 99.59/99.91 2050 coll(c1,c1,c2). [resolve(2044,a,254,a)].
% 99.59/99.91 2057 coll(c1,c2,c1). [resolve(2050,a,109,a)].
% 99.59/99.91 2060 coll(c2,c1,c1). [resolve(2057,a,110,a)].
% 99.59/99.91 2070 -midp(A,c3,c3) | midp(A,c4,c4). [resolve(720,a,268,b)].
% 99.59/99.91 2214 para(c1,c3,c1,c3). [resolve(1048,a,112,a)].
% 99.59/99.91 2230 para(c3,c1,c3,c1). [resolve(1062,a,112,a)].
% 99.59/99.91 2325 cong(c3,c6,c6,c2). [resolve(1296,a,131,a)].
% 99.59/99.91 2443 cong(c4,c8,c8,c1). [resolve(1468,a,131,a)].
% 99.59/99.91 2448 -coll(A,c4,c8) | eqratio(A,c4,c4,c8,A,c4,c4,c8). [resolve(1485,a,269,a)].
% 99.59/99.91 2811 para(c8,c7,c1,c2). [resolve(382,a,402,a)].
% 99.59/99.91 2845 cong(c1,c8,c8,c4). [resolve(2026,a,131,a)].
% 99.59/99.91 2877 para(c7,c8,c2,c1). [resolve(383,a,402,a)].
% 99.59/99.91 2977 -midp(A,c1,c1) | midp(A,c3,c3). [resolve(2214,a,268,b)].
% 99.59/99.91 2993 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(2230,a,268,b)].
% 99.59/99.91 3130 cong(c3,c6,c2,c6). [resolve(2325,a,130,a)].
% 99.59/99.91 3533 para(c1,c2,c8,c7). [resolve(2811,a,113,a)].
% 99.59/99.91 3534 para(c8,c7,c2,c1). [resolve(2811,a,112,a)].
% 99.59/99.91 3554 cong(c1,c8,c4,c8). [resolve(2845,a,130,a)].
% 99.59/99.91 3588 para(c7,c8,c1,c2). [resolve(2877,a,112,a)].
% 99.59/99.91 3732 -cong(c3,A,c2,A) | perp(c3,c2,c6,A). [resolve(3130,a,159,a)].
% 99.59/99.91 4035 -midp(c1,A,c8) | -coll(c2,A,c7) | midp(c2,A,c7). [resolve(3533,a,153,b)].
% 99.59/99.91 4054 -perp(c2,c1,A,B) | perp(c8,c7,A,B). [resolve(3534,a,118,a)].
% 99.59/99.91 4079 perp(c1,c4,c8,c8). [resolve(3554,a,264,a)].
% 99.59/99.91 4128 -perp(c1,c2,A,B) | perp(c7,c8,A,B). [resolve(3588,a,118,a)].
% 99.59/99.91 4864 -midp(c4,c8,c8) | cong(c1,c8,c1,c8). [resolve(4079,a,158,b)].
% 99.59/99.91 5779 coll(c4,c9,c8). [resolve(571,a,617,a)].
% 99.59/99.91 5786 coll(c9,c4,c8). [resolve(5779,a,110,a)].
% 99.59/99.91 6395 coll(c8,c5,c1). [resolve(579,a,626,a)].
% 99.59/99.91 6426 coll(c5,c8,c1). [resolve(6395,a,110,a)].
% 99.59/99.91 6468 coll(c5,c1,c8). [resolve(6426,a,109,a)].
% 99.59/99.91 6553 coll(c8,c8,c5). [resolve(6468,a,254,a)].
% 99.59/99.91 6705 coll(c9,c5,c8). [resolve(6553,a,572,a)].
% 99.59/99.91 6761 coll(c8,c7,c9). [resolve(6705,a,404,a)].
% 99.59/99.91 6814 coll(c8,c9,c7). [resolve(6761,a,109,a)].
% 99.59/99.91 6846 coll(c9,c8,c7). [resolve(6814,a,110,a)].
% 99.59/99.91 6879 coll(c6,c7,c9). [resolve(6846,a,568,a)].
% 99.59/99.91 6908 coll(c6,c9,c7). [resolve(6879,a,109,a)].
% 99.59/99.91 6948 coll(c7,c8,c6). [resolve(6908,a,563,a)].
% 99.59/99.91 7085 coll(c7,c6,c8). [resolve(6948,a,109,a)].
% 99.59/99.91 7120 coll(c6,c7,c8). [resolve(7085,a,110,a)].
% 99.59/99.91 7647 coll(c7,c8,c4). [resolve(618,a,613,a)].
% 99.59/99.91 7786 coll(c7,c4,c8). [resolve(7647,a,109,a)].
% 99.59/99.91 7902 coll(c2,c8,c7). [resolve(7786,a,500,a)].
% 99.59/99.91 8714 para(c1,c1,A,A). [resolve(774,a,267,a)].
% 99.59/99.91 8741 -perp(A,A,B,C) | perp(c1,c1,B,C). [resolve(8714,a,118,a)].
% 99.59/99.91 10858 cong(c5,c1,c5,c1). [resolve(1033,a,465,a)].
% 99.59/99.91 10878 midp(c5,c1,c1). [resolve(10858,a,170,a),unit_del(a,676)].
% 99.59/99.91 10887 midp(c5,c2,c2). [resolve(10878,a,2032,a)].
% 99.59/99.91 10922 para(c1,c1,c1,c3). [resolve(10878,a,466,a)].
% 99.59/99.91 10967 para(c1,c3,c1,c1). [resolve(10878,a,344,a)].
% 99.59/99.91 11238 para(c1,c2,c3,c2). [resolve(10887,a,467,a)].
% 99.59/99.91 11493 -midp(A,c1,c1) | midp(A,c3,c1). [resolve(10922,a,167,c),unit_del(b,10967)].
% 99.59/99.91 11531 -perp(c1,c1,A,B) | perp(c1,c3,A,B). [resolve(10967,a,118,a)].
% 99.59/99.91 11812 -perp(c3,c2,A,B) | perp(c1,c2,A,B). [resolve(11238,a,118,a)].
% 99.59/99.91 12836 cong(c6,c3,c6,c3). [resolve(1294,a,493,a)].
% 99.59/99.91 12867 midp(c6,c3,c3). [resolve(12836,a,170,a),unit_del(a,697)].
% 99.59/99.91 12875 midp(c6,c1,c1). [resolve(12867,a,2993,a)].
% 99.59/99.91 12876 midp(c6,c4,c4). [resolve(12867,a,2070,a)].
% 99.59/99.91 12901 para(c3,c3,c3,c2). [resolve(12867,a,494,a)].
% 99.59/99.91 12944 para(c3,c2,c3,c3). [resolve(12867,a,362,a)].
% 99.59/99.91 13158 para(c2,c1,c3,c1). [resolve(12875,a,363,a)].
% 99.59/99.91 13288 cong(c6,c4,c6,c4). [resolve(12876,a,171,a)].
% 99.59/99.91 13443 -midp(A,c3,c3) | midp(A,c2,c3). [resolve(12901,a,167,c),unit_del(b,12944)].
% 99.59/99.91 13615 para(c2,c1,c1,c3). [resolve(13158,a,112,a)].
% 99.59/99.91 13723 cong(c6,c4,c4,c6). [resolve(13288,a,130,a)].
% 99.59/99.91 13987 -perp(c1,c3,A,B) | perp(c2,c1,A,B). [resolve(13615,a,118,a)].
% 99.59/99.91 14078 cong(c4,c6,c6,c4). [resolve(13723,a,131,a)].
% 99.59/99.91 14129 cong(c4,c6,c4,c6). [resolve(14078,a,130,a)].
% 99.59/99.91 14252 -cong(c4,A,c4,A) | perp(c4,c4,A,c6). [resolve(14129,a,159,b)].
% 99.59/99.91 16280 cong(c4,c8,c8,c4). [resolve(1466,a,2443,a)].
% 99.59/99.91 16284 cong(c4,c8,c4,c8). [resolve(16280,a,130,a)].
% 99.59/99.91 16709 midp(c4,c8,c8). [resolve(16284,a,170,a),unit_del(a,1046)].
% 99.59/99.91 16713 cong(c1,c8,c1,c8). [back_unit_del(4864),unit_del(a,16709)].
% 99.59/99.91 17077 midp(c1,c8,c8). [resolve(16713,a,170,a),unit_del(a,1172)].
% 99.59/99.91 19854 midp(c6,c3,c1). [resolve(11493,a,12875,a)].
% 99.59/99.91 20151 cong(c6,c3,c6,c1). [resolve(19854,a,171,a)].
% 99.59/99.91 20645 cong(c6,c3,c1,c6). [resolve(20151,a,130,a)].
% 99.59/99.91 21145 cong(c6,c2,c1,c6). [resolve(20645,a,1295,a)].
% 99.59/99.91 21430 cong(c6,c2,c6,c1). [resolve(21145,a,130,a)].
% 99.59/99.91 21707 cyclic(c2,c1,c1,c1). [resolve(21430,a,308,a)].
% 99.59/99.91 22256 cyclic(c3,c1,c1,c2). [resolve(1777,a,20151,a)].
% 99.59/99.91 22452 cyclic(c1,c1,c2,c2). [resolve(22256,a,259,a)].
% 99.59/99.91 22654 cyclic(c1,c2,c1,c2). [resolve(22452,a,122,a)].
% 99.59/99.91 22775 cyclic(c2,c1,c1,c2). [resolve(22654,a,123,a)].
% 99.59/99.91 24409 cong(c2,c1,c2,c1). [resolve(2042,a,262,c),unit_del(a,22775),unit_del(b,21707)].
% 99.59/99.91 24626 midp(c2,c1,c1). [resolve(24409,a,170,a),unit_del(a,2060)].
% 99.59/99.91 24641 midp(c2,c3,c3). [resolve(24626,a,2977,a)].
% 99.59/99.91 24806 midp(c2,c2,c3). [resolve(24641,a,13443,a)].
% 99.59/99.91 24892 cong(c2,c2,c2,c3). [resolve(24806,a,171,a)].
% 99.59/99.91 26176 cong(c2,c2,c3,c2). [resolve(24892,a,130,a)].
% 99.59/99.91 26722 cong(c3,c2,c2,c2). [resolve(26176,a,131,a)].
% 99.59/99.91 28122 eqratio(c9,c4,c4,c8,c9,c4,c4,c8). [resolve(2448,a,5786,a)].
% 99.59/99.91 32312 perp(c3,c2,c6,c2). [resolve(3732,a,26722,a)].
% 99.59/99.91 32961 midp(c2,c8,c7). [resolve(4035,a,17077,a),unit_del(a,7902)].
% 99.59/99.91 32963 midp(c2,c7,c8). [resolve(32961,a,119,a)].
% 99.59/99.91 40868 perp(c1,c2,c6,c2). [resolve(11812,a,32312,a)].
% 99.59/99.91 41014 perp(c7,c8,c6,c2). [resolve(40868,a,4128,a)].
% 99.59/99.91 41122 perp(c6,c2,c7,c8). [resolve(41014,a,116,a)].
% 99.59/99.91 41219 cong(c6,c7,c6,c8). [resolve(41122,a,158,b),unit_del(a,32963)].
% 99.59/99.91 41384 midp(c6,c7,c8). [resolve(41219,a,170,a),unit_del(a,7120)].
% 99.59/99.91 41390 midp(c6,c8,c7). [resolve(41384,a,119,a)].
% 99.59/99.91 59461 eqratio(c9,c4,c9,c4,c4,c8,c4,c8). [resolve(28122,a,136,a)].
% 99.59/99.91 72919 cong(c9,c4,c9,c4). [resolve(59461,a,177,a),unit_del(a,16284)].
% 99.59/99.91 72920 cong(c9,c4,c4,c9). [resolve(72919,a,130,a)].
% 99.59/99.91 72921 cong(c4,c9,c9,c4). [resolve(72920,a,131,a)].
% 99.59/99.91 72922 cong(c4,c9,c4,c9). [resolve(72921,a,130,a)].
% 99.59/99.91 72924 perp(c4,c4,c9,c6). [resolve(72922,a,14252,a)].
% 99.59/99.91 72944 perp(c1,c1,c9,c6). [resolve(72924,a,8741,a)].
% 99.59/99.91 73028 perp(c1,c3,c9,c6). [resolve(72944,a,11531,a)].
% 99.59/99.91 73205 perp(c2,c1,c9,c6). [resolve(73028,a,13987,a)].
% 99.59/99.91 73990 perp(c8,c7,c9,c6). [resolve(73205,a,4054,a)].
% 99.59/99.91 75048 perp(c9,c6,c8,c7). [resolve(73990,a,116,a)].
% 99.59/99.91 75374 $F. [resolve(75048,a,158,b),unit_del(a,41390),unit_del(b,215)].
% 99.59/99.91
% 99.59/99.91 % SZS output end Refutation
% 99.59/99.91 ============================== end of proof ==========================
% 99.59/99.91
% 99.59/99.91 ============================== STATISTICS ============================
% 99.59/99.91
% 99.59/99.91 Given=48677. Generated=1072381. Kept=75257. proofs=1.
% 99.59/99.91 Usable=46711. Sos=8242. Demods=0. Limbo=0, Disabled=20455. Hints=0.
% 99.59/99.91 Megabytes=33.49.
% 99.59/99.91 User_CPU=98.31, System_CPU=0.55, Wall_clock=98.
% 99.59/99.91
% 99.59/99.91 ============================== end of statistics =====================
% 99.59/99.91
% 99.59/99.91 ============================== end of search =========================
% 99.59/99.91
% 99.59/99.91 THEOREM PROVED
% 99.59/99.91 % SZS status Theorem
% 99.59/99.91
% 99.59/99.91 Exiting with 1 proof.
% 99.59/99.91
% 99.59/99.91 Process 3122 exit (max_proofs) Sat Jun 18 03:10:56 2022
% 99.59/99.91 Prover9 interrupted
%------------------------------------------------------------------------------