TSTP Solution File: GEO573+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 05:57:01 EDT 2022
% Result : Theorem 5.74s 6.05s
% Output : Refutation 5.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 07:17:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.06 ============================== Prover9 ===============================
% 0.42/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.06 Process 28824 was started by sandbox on n029.cluster.edu,
% 0.42/1.06 Sat Jun 18 07:17:44 2022
% 0.42/1.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28671_n029.cluster.edu".
% 0.42/1.06 ============================== end of head ===========================
% 0.42/1.06
% 0.42/1.06 ============================== INPUT =================================
% 0.42/1.06
% 0.42/1.06 % Reading from file /tmp/Prover9_28671_n029.cluster.edu
% 0.42/1.06
% 0.42/1.06 set(prolog_style_variables).
% 0.42/1.06 set(auto2).
% 0.42/1.06 % set(auto2) -> set(auto).
% 0.42/1.06 % set(auto) -> set(auto_inference).
% 0.42/1.06 % set(auto) -> set(auto_setup).
% 0.42/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.06 % set(auto) -> set(auto_limits).
% 0.42/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.06 % set(auto) -> set(auto_denials).
% 0.42/1.06 % set(auto) -> set(auto_process).
% 0.42/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.06 % set(auto2) -> assign(stats, some).
% 0.42/1.06 % set(auto2) -> clear(echo_input).
% 0.42/1.06 % set(auto2) -> set(quiet).
% 0.42/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.06 % set(auto2) -> clear(print_given).
% 0.42/1.06 assign(lrs_ticks,-1).
% 0.42/1.06 assign(sos_limit,10000).
% 0.42/1.06 assign(order,kbo).
% 0.42/1.06 set(lex_order_vars).
% 0.42/1.06 clear(print_given).
% 0.42/1.06
% 0.42/1.06 % formulas(sos). % not echoed (95 formulas)
% 0.42/1.06
% 0.42/1.06 ============================== end of input ==========================
% 0.42/1.06
% 0.42/1.06 % From the command line: assign(max_seconds, 300).
% 0.42/1.06
% 0.42/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.06
% 0.42/1.06 % Formulas that are not ordinary clauses:
% 0.42/1.06 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.07 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].
% 0.42/1.07 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.07 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 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].
% 0.42/1.07 95 -(all A all B all C all O all D all E all K all H all NWPNT1 (circle(O,A,B,C) & perp(D,C,A,B) & coll(D,A,B) & perp(E,B,A,C) & coll(E,A,C) & circle(O,C,K,NWPNT1) & coll(K,C,D) & coll(H,C,D) & coll(H,B,E) -> cong(A,K,A,H))) # label(exemplo6GDDFULL214035) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.07
% 0.42/1.07 ============================== end of process non-clausal formulas ===
% 0.42/1.07
% 0.42/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.07
% 0.42/1.07 ============================== PREDICATE ELIMINATION =================
% 0.42/1.07 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)].
% 0.42/1.07 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 100 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.42/1.07 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)].
% 0.42/1.07 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.42/1.07 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)].
% 0.42/1.07 103 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 104 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 105 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 106 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 107 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 108 -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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 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)].
% 0.42/1.07 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 0.42/1.07 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.42/1.07 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.42/1.07 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.42/1.07 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.42/1.07 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.42/1.07 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.42/1.07 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f13(c1,c2,c3,A,c4,B),c1,c3). [resolve(109,a,103,a)].
% 5.74/6.05 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f13(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,104,a)].
% 5.74/6.05 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f14(c1,c2,c3,A,c4,B),c2,A). [resolve(109,a,105,a)].
% 5.74/6.05 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f14(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,106,a)].
% 5.74/6.05 110 circle(c4,c3,c7,c9) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 Derived: -perp(c4,c3,c3,A) | eqangle(c3,A,c3,c7,c9,c3,c9,c7). [resolve(110,a,96,a)].
% 5.74/6.05 Derived: -eqangle(c3,A,c3,c7,c9,c3,c9,c7) | perp(c4,c3,c3,A). [resolve(110,a,98,a)].
% 5.74/6.05 Derived: -midp(A,c7,c9) | eqangle(c3,c7,c3,c9,c4,c7,c4,A). [resolve(110,a,99,a)].
% 5.74/6.05 Derived: -coll(A,c7,c9) | -eqangle(c3,c7,c3,c9,c4,c7,c4,A) | midp(A,c7,c9). [resolve(110,a,100,a)].
% 5.74/6.05 Derived: -coll(c4,c3,c9) | perp(c3,c7,c7,c9). [resolve(110,a,101,a)].
% 5.74/6.05 Derived: perp(f12(c3,c7,c9,c4),c3,c3,c4). [resolve(110,a,102,a)].
% 5.74/6.05 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | coll(f13(c3,c7,c9,A,c4,B),c3,c9). [resolve(110,a,103,a)].
% 5.74/6.05 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | cong(f13(c3,c7,c9,A,c4,B),B,B,c3). [resolve(110,a,104,a)].
% 5.74/6.05 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | coll(f14(c3,c7,c9,A,c4,B),c7,A). [resolve(110,a,105,a)].
% 5.74/6.05 Derived: -cong(c4,c3,c4,A) | -cong(B,c3,B,c7) | B = c4 | cong(f14(c3,c7,c9,A,c4,B),B,B,c3). [resolve(110,a,106,a)].
% 5.74/6.05
% 5.74/6.05 ============================== end predicate elimination =============
% 5.74/6.05
% 5.74/6.05 Auto_denials: (non-Horn, no changes).
% 5.74/6.05
% 5.74/6.05 Term ordering decisions:
% 5.74/6.05 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.
% 5.74/6.05
% 5.74/6.05 ============================== end of process initial clauses ========
% 5.74/6.05
% 5.74/6.05 ============================== CLAUSES FOR SEARCH ====================
% 5.74/6.05
% 5.74/6.05 ============================== end of clauses for search =============
% 5.74/6.05
% 5.74/6.05 ============================== SEARCH ================================
% 5.74/6.05
% 5.74/6.05 % Starting search at 0.04 seconds.
% 5.74/6.05
% 5.74/6.05 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.14 sec).
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=26.000, iters=3336
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=25.000, iters=3340
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=24.000, iters=3358
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=23.000, iters=3351
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=22.000, iters=3340
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=21.000, iters=3336
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=18.000, iters=3338
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=17.000, iters=3368
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=15.000, iters=3341
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=14.000, iters=3338
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=13.000, iters=3334
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8490, wt=57.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8487, wt=49.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8488, wt=48.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8857, wt=46.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8385, wt=45.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8491, wt=44.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=7922, wt=42.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=7923, wt=41.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8384, wt=40.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8489, wt=39.000
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=12.000, iters=3409
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=7924, wt=37.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8973, wt=36.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8661, wt=34.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=7926, wt=33.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8957, wt=32.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8492, wt=31.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=8832, wt=28.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=9047, wt=27.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=9025, wt=26.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=15971, wt=10.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=16005, wt=9.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=16009, wt=8.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=16065, wt=7.000
% 5.74/6.05
% 5.74/6.05 Low Water (displace): id=16087, wt=5.000
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=11.000, iters=3333
% 5.74/6.05
% 5.74/6.05 Low Water (keep): wt=10.000, iters=3337
% 5.74/6.05
% 5.74/6.05 ============================== PROOF =================================
% 5.74/6.05 % SZS status Theorem
% 5.74/6.05 % SZS output start Refutation
% 5.74/6.05
% 5.74/6.05 % Proof 1 at 4.92 (+ 0.08) seconds.
% 5.74/6.05 % Length of proof is 367.
% 5.74/6.05 % Level of proof is 40.
% 5.74/6.05 % Maximum clause weight is 29.000.
% 5.74/6.05 % Given clauses 9549.
% 5.74/6.05
% 5.74/6.05 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 5.74/6.05 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 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].
% 5.74/6.05 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 5.74/6.05 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].
% 5.74/6.05 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 5.74/6.05 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].
% 5.74/6.05 95 -(all A all B all C all O all D all E all K all H all NWPNT1 (circle(O,A,B,C) & perp(D,C,A,B) & coll(D,A,B) & perp(E,B,A,C) & coll(E,A,C) & circle(O,C,K,NWPNT1) & coll(K,C,D) & coll(H,C,D) & coll(H,B,E) -> cong(A,K,A,H))) # label(exemplo6GDDFULL214035) # label(negated_conjecture) # label(non_clause). [assumption].
% 5.74/6.05 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 5.74/6.05 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 5.74/6.05 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 5.74/6.05 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 5.74/6.05 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 5.74/6.05 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 5.74/6.05 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 5.74/6.05 115 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 5.74/6.05 116 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 5.74/6.05 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 5.74/6.05 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 5.74/6.05 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 5.74/6.05 120 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 5.74/6.05 121 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 5.74/6.05 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 5.74/6.05 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 5.74/6.05 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 5.74/6.05 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 5.74/6.05 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 5.74/6.05 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 5.74/6.05 148 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 5.74/6.05 149 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 5.74/6.05 152 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 5.74/6.05 153 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 5.74/6.05 155 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 5.74/6.05 160 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 5.74/6.05 161 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 5.74/6.05 162 -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)].
% 5.74/6.05 168 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 5.74/6.05 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 5.74/6.05 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 5.74/6.05 172 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 5.74/6.05 173 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 5.74/6.05 210 perp(c5,c3,c1,c2) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 211 coll(c5,c1,c2) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 212 perp(c6,c2,c1,c3) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 213 coll(c6,c1,c3) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 214 coll(c7,c3,c5) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 215 coll(c8,c3,c5) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 216 coll(c8,c2,c6) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 217 -cong(c1,c7,c1,c8) # label(exemplo6GDDFULL214035) # label(negated_conjecture). [clausify(95)].
% 5.74/6.05 222 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 5.74/6.05 260 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 5.74/6.05 261 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 5.74/6.05 284 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 5.74/6.05 289 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 5.74/6.05 290 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(153,a,b)].
% 5.74/6.05 292 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(153,b,c)].
% 5.74/6.05 294 -cong(A,B,C,B) | perp(A,C,B,B). [factor(161,a,b)].
% 5.74/6.05 295 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(162,a,b)].
% 5.74/6.05 297 -midp(A,B,C) | para(B,B,C,C). [factor(168,a,b)].
% 5.74/6.05 298 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 5.74/6.05 323 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(222,c,d)].
% 5.74/6.05 358 -perp(A,B,c5,c3) | para(A,B,c1,c2). [resolve(210,a,119,b)].
% 5.74/6.05 359 -perp(c1,c2,A,B) | para(c5,c3,A,B). [resolve(210,a,119,a)].
% 5.74/6.05 360 perp(c1,c2,c5,c3). [resolve(210,a,118,a)].
% 5.74/6.05 363 -coll(c5,c1,A) | coll(c2,A,c5). [resolve(211,a,113,a)].
% 5.74/6.05 364 coll(c1,c5,c2). [resolve(211,a,112,a)].
% 5.74/6.05 365 coll(c5,c2,c1). [resolve(211,a,111,a)].
% 5.74/6.05 377 -perp(A,B,c6,c2) | para(A,B,c1,c3). [resolve(212,a,119,b)].
% 5.74/6.05 378 -perp(c1,c3,A,B) | para(c6,c2,A,B). [resolve(212,a,119,a)].
% 5.74/6.05 379 perp(c1,c3,c6,c2). [resolve(212,a,118,a)].
% 5.74/6.05 380 perp(c6,c2,c3,c1). [resolve(212,a,117,a)].
% 5.74/6.05 381 -coll(c6,c1,A) | coll(A,c3,c6). [resolve(213,a,113,b)].
% 5.74/6.05 383 coll(c1,c6,c3). [resolve(213,a,112,a)].
% 5.74/6.05 384 coll(c6,c3,c1). [resolve(213,a,111,a)].
% 5.74/6.05 387 coll(c3,c7,c5). [resolve(214,a,112,a)].
% 5.74/6.05 388 coll(c7,c5,c3). [resolve(214,a,111,a)].
% 5.74/6.05 391 coll(c3,c8,c5). [resolve(215,a,112,a)].
% 5.74/6.05 395 coll(c2,c8,c6). [resolve(216,a,112,a)].
% 5.74/6.05 396 coll(c8,c6,c2). [resolve(216,a,111,a)].
% 5.74/6.05 417 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(261,a,119,b)].
% 5.74/6.05 419 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(261,a,118,a)].
% 5.74/6.05 447 coll(c6,c6,c8). [resolve(284,a,216,a)].
% 5.74/6.05 448 coll(c5,c5,c8). [resolve(284,a,215,a)].
% 5.74/6.05 449 coll(c5,c5,c7). [resolve(284,a,214,a)].
% 5.74/6.05 450 coll(c3,c3,c6). [resolve(284,a,213,a)].
% 5.74/6.05 451 coll(c2,c2,c5). [resolve(284,a,211,a)].
% 5.74/6.05 452 coll(c2,c2,c1). [resolve(364,a,284,a)].
% 5.74/6.05 453 -coll(c1,c5,A) | coll(A,c2,c1). [resolve(364,a,113,b)].
% 5.74/6.05 456 coll(c1,c1,c5). [resolve(365,a,284,a)].
% 5.74/6.05 460 coll(c3,c3,c1). [resolve(383,a,284,a)].
% 5.74/6.05 462 -coll(c1,c6,A) | coll(c3,A,c1). [resolve(383,a,113,a)].
% 5.74/6.05 463 coll(c1,c3,c6). [resolve(383,a,111,a)].
% 5.74/6.05 465 -coll(c6,c3,A) | coll(A,c1,c6). [resolve(384,a,113,b)].
% 5.74/6.05 468 coll(c5,c5,c3). [resolve(387,a,284,a)].
% 5.74/6.05 473 -coll(c7,c5,A) | coll(A,c3,c7). [resolve(388,a,113,b)].
% 5.74/6.05 476 -coll(c3,c8,A) | coll(A,c5,c3). [resolve(391,a,113,b)].
% 5.74/6.05 477 -coll(c3,c8,A) | coll(c5,A,c3). [resolve(391,a,113,a)].
% 5.74/6.05 483 coll(c6,c6,c2). [resolve(395,a,284,a)].
% 5.74/6.05 485 -coll(c2,c8,A) | coll(c6,A,c2). [resolve(395,a,113,a)].
% 5.74/6.05 488 -coll(c8,c6,A) | coll(A,c2,c8). [resolve(396,a,113,b)].
% 5.74/6.05 489 -coll(c8,c6,A) | coll(c2,A,c8). [resolve(396,a,113,a)].
% 5.74/6.05 492 -coll(c6,c6,A) | coll(A,c8,c6). [resolve(447,a,113,b)].
% 5.74/6.05 498 coll(c5,c8,c5). [resolve(448,a,111,a)].
% 5.74/6.05 501 -coll(c5,c5,A) | coll(c7,A,c5). [resolve(449,a,113,a)].
% 5.74/6.05 503 coll(c6,c6,c3). [resolve(450,a,284,a)].
% 5.74/6.05 506 coll(c3,c6,c3). [resolve(450,a,111,a)].
% 5.74/6.05 510 coll(c2,c5,c2). [resolve(451,a,111,a)].
% 5.74/6.05 511 coll(c1,c1,c2). [resolve(452,a,284,a)].
% 5.74/6.05 519 -coll(c1,c1,A) | coll(A,c5,c1). [resolve(456,a,113,b)].
% 5.74/6.05 521 coll(c1,c5,c1). [resolve(456,a,111,a)].
% 5.74/6.05 524 coll(c1,c1,c3). [resolve(460,a,284,a)].
% 5.74/6.05 525 -coll(c3,c3,A) | coll(A,c1,c3). [resolve(460,a,113,b)].
% 5.74/6.05 528 coll(c6,c6,c1). [resolve(463,a,284,a)].
% 5.74/6.05 537 coll(c3,c3,c5). [resolve(468,a,284,a)].
% 5.74/6.05 540 coll(c5,c3,c5). [resolve(468,a,111,a)].
% 5.74/6.05 561 -coll(c6,c6,A) | coll(c2,A,c6). [resolve(483,a,113,a)].
% 5.74/6.05 562 coll(c6,c2,c6). [resolve(483,a,111,a)].
% 5.74/6.05 582 coll(c5,c5,c5). [resolve(498,a,284,a)].
% 5.74/6.05 602 coll(c2,c2,c2). [resolve(510,a,284,a)].
% 5.74/6.05 608 coll(c1,c2,c1). [resolve(511,a,111,a)].
% 5.74/6.05 623 coll(c1,c3,c1). [resolve(524,a,111,a)].
% 5.74/6.05 630 para(c5,c3,c5,c3). [resolve(360,a,359,a)].
% 5.74/6.05 631 para(c1,c2,c1,c2). [resolve(360,a,358,a)].
% 5.74/6.05 645 perp(c1,c2,c3,c5). [resolve(360,a,117,a)].
% 5.74/6.05 653 coll(c3,c5,c3). [resolve(537,a,111,a)].
% 5.74/6.05 656 coll(c3,c5,c5). [resolve(540,a,112,a)].
% 5.74/6.05 808 para(c6,c2,c6,c2). [resolve(379,a,378,a)].
% 5.74/6.05 837 perp(c3,c1,c6,c2). [resolve(380,a,118,a)].
% 5.74/6.05 840 -midp(A,c5,c5) | midp(A,c3,c3). [resolve(630,a,298,b)].
% 5.74/6.05 848 -midp(c5,A,c5) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(630,a,155,b)].
% 5.74/6.05 849 eqangle(c5,c3,A,B,c5,c3,A,B). [resolve(630,a,149,a)].
% 5.74/6.05 850 para(c5,c3,c3,c5). [resolve(630,a,114,a)].
% 5.74/6.05 853 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(631,a,298,b)].
% 5.74/6.05 861 -midp(c1,A,c1) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(631,a,155,b)].
% 5.74/6.05 877 perp(c3,c5,c1,c2). [resolve(645,a,118,a)].
% 5.74/6.05 905 para(c6,c2,c2,c6). [resolve(808,a,114,a)].
% 5.74/6.05 933 para(c3,c1,c1,c3). [resolve(837,a,377,a)].
% 5.74/6.05 946 -perp(c6,c2,A,B) | para(c3,c1,A,B). [resolve(837,a,119,a)].
% 5.74/6.05 963 para(c3,c5,c5,c3). [resolve(850,a,115,a)].
% 5.74/6.05 992 perp(c3,c5,c2,c1). [resolve(877,a,117,a)].
% 5.74/6.05 1033 -midp(c6,A,c2) | -coll(c2,A,c6) | midp(c2,A,c6). [resolve(905,a,155,b)].
% 5.74/6.05 1037 para(c2,c6,c6,c2). [resolve(905,a,115,a)].
% 5.74/6.05 1082 para(c3,c1,c3,c1). [resolve(933,a,114,a)].
% 5.74/6.05 1111 para(c3,c5,c3,c5). [resolve(963,a,114,a)].
% 5.74/6.05 1123 -perp(A,B,c3,c5) | para(A,B,c2,c1). [resolve(992,a,119,b)].
% 5.74/6.05 1148 -midp(c2,A,c6) | -coll(c6,A,c2) | midp(c6,A,c2). [resolve(1037,a,155,b)].
% 5.74/6.05 1152 para(c2,c6,c2,c6). [resolve(1037,a,114,a)].
% 5.74/6.05 1168 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(1082,a,298,b)].
% 5.74/6.05 1176 -midp(c3,A,c3) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(1082,a,155,b)].
% 5.74/6.05 1188 -midp(c3,A,c3) | -coll(c5,A,c5) | midp(c5,A,c5). [resolve(1111,a,155,b)].
% 5.74/6.05 1189 eqangle(c3,c5,A,B,c3,c5,A,B). [resolve(1111,a,149,a)].
% 5.74/6.05 1192 -midp(A,c2,c2) | midp(A,c6,c6). [resolve(1152,a,298,b)].
% 5.74/6.05 1200 -midp(c2,A,c2) | -coll(c6,A,c6) | midp(c6,A,c6). [resolve(1152,a,155,b)].
% 5.74/6.05 1202 coll(c1,c8,c6). [resolve(492,a,528,a)].
% 5.74/6.05 1203 coll(c3,c8,c6). [resolve(492,a,503,a)].
% 5.74/6.05 1206 coll(c8,c1,c6). [resolve(1202,a,112,a)].
% 5.74/6.05 1207 coll(c1,c6,c8). [resolve(1202,a,111,a)].
% 5.74/6.05 1208 coll(c5,c6,c3). [resolve(1203,a,477,a)].
% 5.74/6.05 1209 coll(c6,c5,c3). [resolve(1203,a,476,a)].
% 5.74/6.05 1212 coll(c8,c3,c6). [resolve(1203,a,112,a)].
% 5.74/6.05 1216 coll(c8,c6,c1). [resolve(1206,a,111,a)].
% 5.74/6.05 1217 coll(c3,c8,c1). [resolve(1207,a,462,a)].
% 5.74/6.05 1225 coll(c5,c3,c6). [resolve(1208,a,111,a)].
% 5.74/6.05 1228 coll(c6,c3,c5). [resolve(1209,a,111,a)].
% 5.74/6.05 1233 coll(c8,c6,c3). [resolve(1212,a,111,a)].
% 5.74/6.05 1237 coll(c2,c1,c8). [resolve(1216,a,489,a)].
% 5.74/6.05 1244 coll(c1,c5,c3). [resolve(1217,a,476,a)].
% 5.74/6.05 1258 coll(c6,c6,c5). [resolve(1225,a,284,a)].
% 5.74/6.05 1263 coll(c5,c1,c6). [resolve(1228,a,465,a)].
% 5.74/6.05 1264 coll(c5,c5,c6). [resolve(1228,a,284,a)].
% 5.74/6.05 1267 coll(c3,c6,c5). [resolve(1228,a,112,a)].
% 5.74/6.05 1274 coll(c2,c3,c8). [resolve(1233,a,489,a)].
% 5.74/6.05 1275 coll(c3,c2,c8). [resolve(1233,a,488,a)].
% 5.74/6.05 1283 coll(c2,c8,c1). [resolve(1237,a,111,a)].
% 5.74/6.05 1298 coll(c3,c2,c1). [resolve(1244,a,453,a)].
% 5.74/6.05 1322 coll(c6,c5,c6). [resolve(1258,a,111,a)].
% 5.74/6.05 1330 coll(c2,c6,c5). [resolve(1263,a,363,a)].
% 5.74/6.05 1337 coll(c5,c6,c5). [resolve(1264,a,111,a)].
% 5.74/6.05 1348 coll(c2,c8,c3). [resolve(1274,a,111,a)].
% 5.74/6.05 1351 coll(c3,c8,c2). [resolve(1275,a,111,a)].
% 5.74/6.05 1354 coll(c6,c1,c2). [resolve(1283,a,485,a)].
% 5.74/6.05 1378 coll(c3,c1,c2). [resolve(1298,a,111,a)].
% 5.74/6.05 1417 coll(c2,c5,c6). [resolve(1330,a,111,a)].
% 5.74/6.05 1425 coll(c6,c5,c5). [resolve(1337,a,112,a)].
% 5.74/6.05 1431 coll(c6,c3,c2). [resolve(1348,a,485,a)].
% 5.74/6.05 1433 coll(c3,c3,c2). [resolve(1348,a,284,a)].
% 5.74/6.05 1438 coll(c2,c2,c3). [resolve(1351,a,284,a)].
% 5.74/6.05 1443 para(c1,c4,c1,c4). [resolve(419,a,417,a)].
% 5.74/6.05 1459 coll(c2,c3,c6). [resolve(1354,a,381,a)].
% 5.74/6.05 1503 coll(c1,c3,c2). [resolve(1378,a,112,a)].
% 5.74/6.05 1541 coll(c3,c2,c3). [resolve(1433,a,111,a)].
% 5.74/6.05 1548 coll(c2,c3,c2). [resolve(1438,a,111,a)].
% 5.74/6.05 1555 coll(c2,c6,c3). [resolve(1459,a,111,a)].
% 5.74/6.05 1591 coll(c1,c4,c4). [resolve(1443,a,171,a)].
% 5.74/6.05 1596 coll(c4,c4,c1). [resolve(1591,a,284,a)].
% 5.74/6.05 1606 coll(c1,c1,c4). [resolve(1596,a,284,a)].
% 5.74/6.05 1986 coll(c4,c5,c1). [resolve(519,a,1606,a)].
% 5.74/6.05 2006 coll(c4,c1,c5). [resolve(1986,a,111,a)].
% 5.74/6.05 2025 coll(c5,c5,c4). [resolve(2006,a,284,a)].
% 5.74/6.05 2043 coll(c7,c4,c5). [resolve(2025,a,501,a)].
% 5.74/6.05 2079 coll(c7,c5,c4). [resolve(2043,a,111,a)].
% 5.74/6.05 2132 coll(c4,c3,c7). [resolve(2079,a,473,a)].
% 5.74/6.05 2210 coll(c4,c7,c3). [resolve(2132,a,111,a)].
% 5.74/6.05 2289 coll(c3,c3,c4). [resolve(2210,a,284,a)].
% 5.74/6.05 2366 coll(c4,c1,c3). [resolve(2289,a,525,a)].
% 5.74/6.05 2372 perp(c1,c2,c2,c3). [back_unit_del(260),unit_del(a,2366)].
% 5.74/6.05 2579 para(c5,c3,c2,c3). [resolve(2372,a,359,a)].
% 5.74/6.05 2604 perp(c1,c2,c3,c2). [resolve(2372,a,117,a)].
% 5.74/6.05 2636 para(c2,c3,c5,c3). [resolve(2579,a,115,a)].
% 5.74/6.05 2637 para(c5,c3,c3,c2). [resolve(2579,a,114,a)].
% 5.74/6.05 2662 -midp(c2,c3,c2) | cong(c1,c3,c1,c2). [resolve(2604,a,160,b)].
% 5.74/6.05 2664 -perp(c3,c2,A,B) | para(c1,c2,A,B). [resolve(2604,a,119,a)].
% 5.74/6.05 2700 -midp(c2,A,c5) | -coll(c3,A,c3) | midp(c3,A,c3). [resolve(2636,a,155,b)].
% 5.74/6.05 2705 para(c2,c3,c3,c5). [resolve(2636,a,114,a)].
% 5.74/6.05 2722 -para(A,B,c5,c3) | para(A,B,c3,c2). [resolve(2637,a,116,b)].
% 5.74/6.05 2724 para(c3,c2,c5,c3). [resolve(2637,a,115,a)].
% 5.74/6.05 2773 para(c3,c5,c2,c3). [resolve(2705,a,115,a)].
% 5.74/6.05 2785 -midp(c3,A,c5) | -coll(c2,A,c3) | midp(c2,A,c3). [resolve(2724,a,155,b)].
% 5.74/6.05 2790 para(c3,c2,c3,c5). [resolve(2724,a,114,a)].
% 5.74/6.05 2842 para(c3,c5,c3,c2). [resolve(2773,a,114,a)].
% 5.74/6.05 2852 -midp(A,c3,c3) | midp(A,c5,c2). [resolve(2790,a,169,c),unit_del(b,2842)].
% 5.74/6.05 2853 -midp(A,c3,c3) | midp(A,c2,c5). [resolve(2790,a,169,b),unit_del(b,2842)].
% 5.74/6.05 3008 -cyclic(c3,c5,c5,c3) | -cyclic(c3,c5,c5,c5) | cong(c3,c5,c3,c5). [resolve(849,a,292,c)].
% 5.74/6.05 3018 -coll(c5,c5,A) | cyclic(c3,A,c5,c5). [resolve(849,a,152,a)].
% 5.74/6.05 3020 eqangle(A,B,c5,c3,A,B,c5,c3). [resolve(849,a,128,a)].
% 5.74/6.05 7262 -cyclic(c5,c3,c3,c5) | -cyclic(c5,c3,c3,c3) | cong(c5,c3,c5,c3). [resolve(1189,a,292,c)].
% 5.74/6.05 7263 -cyclic(c5,c5,c3,c5) | -cyclic(c5,c5,c3,c3) | cong(c5,c5,c5,c5). [resolve(1189,a,290,c)].
% 5.74/6.05 12504 cyclic(c3,c6,c5,c5). [resolve(3018,a,1264,a)].
% 5.74/6.05 12505 cyclic(c3,c5,c5,c5). [resolve(3018,a,582,a)].
% 5.74/6.05 12508 cyclic(c3,c3,c5,c5). [resolve(3018,a,468,a)].
% 5.74/6.05 12511 -cyclic(c3,c5,c5,c3) | cong(c3,c5,c3,c5). [back_unit_del(3008),unit_del(b,12505)].
% 5.74/6.05 12521 cyclic(c6,c5,c5,c5). [resolve(12504,a,289,a)].
% 5.74/6.05 12526 cyclic(c3,c5,c6,c5). [resolve(12504,a,124,a)].
% 5.74/6.05 12531 cyclic(c5,c3,c5,c5). [resolve(12505,a,125,a)].
% 5.74/6.05 12546 -cong(c3,c5,c3,c5) | perp(c5,c3,c3,c5). [resolve(12508,a,295,b)].
% 5.74/6.05 12550 cyclic(c3,c5,c3,c5). [resolve(12508,a,124,a)].
% 5.74/6.05 12585 cyclic(c5,c6,c5,c5). [resolve(12521,a,125,a)].
% 5.74/6.05 12599 cyclic(c5,c3,c6,c5). [resolve(12526,a,125,a)].
% 5.74/6.05 12605 cyclic(c5,c5,c3,c5). [resolve(12531,a,124,a)].
% 5.74/6.05 12606 -cyclic(c5,c5,c3,c3) | cong(c5,c5,c5,c5). [back_unit_del(7263),unit_del(a,12605)].
% 5.74/6.05 12652 cyclic(c5,c3,c3,c5). [resolve(12550,a,125,a)].
% 5.74/6.05 12653 cyclic(c3,c5,c5,c3). [resolve(12550,a,123,a)].
% 5.74/6.05 12654 -cyclic(c5,c3,c3,c3) | cong(c5,c3,c5,c3). [back_unit_del(7262),unit_del(a,12652)].
% 5.74/6.05 12655 cong(c3,c5,c3,c5). [back_unit_del(12511),unit_del(a,12653)].
% 5.74/6.05 12656 perp(c5,c3,c3,c5). [back_unit_del(12546),unit_del(a,12655)].
% 5.74/6.05 12726 cyclic(c5,c5,c6,c5). [resolve(12585,a,124,a)].
% 5.74/6.05 12759 cyclic(c5,c3,c5,c6). [resolve(12599,a,123,a)].
% 5.74/6.05 12830 cyclic(c5,c5,c3,c3). [resolve(12653,a,289,a)].
% 5.74/6.05 12836 cong(c5,c5,c5,c5). [back_unit_del(12606),unit_del(a,12830)].
% 5.74/6.05 12855 midp(c3,c5,c5). [resolve(12655,a,172,a),unit_del(a,656)].
% 5.74/6.05 12868 midp(c3,c3,c3). [resolve(12855,a,840,a)].
% 5.74/6.05 12926 midp(c1,c3,c1). [resolve(12868,a,1176,a),unit_del(a,623)].
% 5.74/6.05 13080 midp(c2,c3,c2). [resolve(12926,a,861,a),unit_del(a,1548)].
% 5.74/6.05 13102 cong(c1,c3,c1,c2). [back_unit_del(2662),unit_del(a,13080)].
% 5.74/6.05 13340 para(c5,c3,c2,c1). [resolve(12656,a,1123,a)].
% 5.74/6.05 13458 -cong(c5,c6,c5,c6) | perp(c6,c5,c5,c5). [resolve(12726,a,162,c),unit_del(b,12836)].
% 5.74/6.05 13491 cyclic(c5,c5,c3,c6). [resolve(12759,a,124,a)].
% 5.74/6.05 13577 cyclic(c5,c3,c3,c3). [resolve(12830,a,289,a)].
% 5.74/6.05 13582 cong(c5,c3,c5,c3). [back_unit_del(12654),unit_del(a,13577)].
% 5.74/6.05 13606 midp(c5,c5,c5). [resolve(12836,a,172,a),unit_del(a,582)].
% 5.74/6.05 13613 midp(c3,c5,c3). [resolve(13606,a,848,a),unit_del(a,653)].
% 5.74/6.05 13614 midp(c5,c3,c3). [resolve(13606,a,840,a)].
% 5.74/6.05 13646 midp(c1,c5,c1). [resolve(13613,a,1176,a),unit_del(a,521)].
% 5.74/6.05 13672 midp(c5,c2,c5). [resolve(13614,a,2853,a)].
% 5.74/6.05 13675 midp(c5,c1,c1). [resolve(13614,a,1168,a)].
% 5.74/6.05 13714 midp(c2,c5,c2). [resolve(13646,a,861,a),unit_del(a,510)].
% 5.74/6.05 13757 midp(c3,c2,c3). [resolve(13672,a,848,a),unit_del(a,1541)].
% 5.74/6.05 13813 midp(c5,c2,c2). [resolve(13675,a,853,a)].
% 5.74/6.05 13849 midp(c6,c5,c6). [resolve(13714,a,1200,a),unit_del(a,1322)].
% 5.74/6.05 13887 midp(c1,c2,c1). [resolve(13757,a,1176,a),unit_del(a,608)].
% 5.74/6.05 13912 midp(c5,c6,c6). [resolve(13813,a,1192,a)].
% 5.74/6.05 13958 cong(c6,c5,c6,c6). [resolve(13849,a,173,a)].
% 5.74/6.05 13963 midp(c6,c6,c5). [resolve(13849,a,121,a)].
% 5.74/6.05 13995 midp(c2,c2,c2). [resolve(13887,a,861,a),unit_del(a,602)].
% 5.74/6.05 14038 cong(c5,c6,c5,c6). [resolve(13912,a,173,a)].
% 5.74/6.05 14044 perp(c6,c5,c5,c5). [back_unit_del(13458),unit_del(a,14038)].
% 5.74/6.05 14092 cong(c6,c6,c6,c5). [resolve(13963,a,173,a)].
% 5.74/6.05 14110 midp(c6,c2,c6). [resolve(13995,a,1200,a),unit_del(a,562)].
% 5.74/6.05 14146 para(c2,c2,c6,c6). [resolve(14110,a,297,a)].
% 5.74/6.05 14154 midp(c6,c6,c2). [resolve(14110,a,121,a)].
% 5.74/6.05 14178 cong(c6,c6,c6,c2). [resolve(14154,a,173,a)].
% 5.74/6.05 14418 perp(c3,c2,c2,c2). [resolve(13102,a,323,c),unit_del(a,1503)].
% 5.74/6.05 15073 para(c2,c1,c5,c3). [resolve(13340,a,115,a)].
% 5.74/6.05 15234 perp(c3,c5,c5,c6). [resolve(13491,a,162,c),unit_del(a,13582),unit_del(b,14038)].
% 5.74/6.05 15663 perp(c5,c6,c6,c6). [resolve(13958,a,323,c),unit_del(a,1322)].
% 5.74/6.05 15773 cong(c6,c5,c6,c5). [resolve(14044,a,160,b),unit_del(a,13606)].
% 5.74/6.05 15832 cong(c6,c6,c5,c6). [resolve(14092,a,132,a)].
% 5.74/6.05 15889 -perp(c6,c6,A,B) | perp(c2,c2,A,B). [resolve(14146,a,120,a)].
% 5.74/6.05 15930 perp(c6,c2,c2,c2). [resolve(14178,a,323,c),unit_del(a,483)].
% 5.74/6.05 16063 para(c1,c2,c2,c2). [resolve(14418,a,2664,a)].
% 5.74/6.05 16727 para(c2,c1,c3,c2). [resolve(15073,a,2722,a)].
% 5.74/6.05 16923 perp(c3,c5,c6,c5). [resolve(15234,a,117,a)].
% 5.74/6.05 17759 perp(c6,c6,c5,c6). [resolve(15663,a,118,a)].
% 5.74/6.05 17896 midp(c6,c5,c5). [resolve(15773,a,172,a),unit_del(a,1425)].
% 5.74/6.05 17900 midp(c6,c3,c3). [resolve(17896,a,840,a)].
% 5.74/6.05 17910 midp(c6,c5,c2). [resolve(17900,a,2852,a)].
% 5.74/6.05 17912 midp(c6,c1,c1). [resolve(17900,a,1168,a)].
% 5.74/6.05 17932 midp(c2,c5,c6). [resolve(17910,a,1033,a),unit_del(a,1417)].
% 5.74/6.05 17953 midp(c6,c2,c2). [resolve(17912,a,853,a)].
% 5.74/6.05 17975 midp(c2,c6,c5). [resolve(17932,a,121,a)].
% 5.74/6.05 17976 midp(c6,c6,c6). [resolve(17953,a,1192,a)].
% 5.74/6.05 17992 midp(c3,c6,c3). [resolve(17975,a,2700,a),unit_del(a,506)].
% 5.74/6.05 18026 midp(c5,c6,c5). [resolve(17992,a,1188,a),unit_del(a,1337)].
% 5.74/6.05 18169 perp(c6,c5,c6,c6). [resolve(15832,a,294,a)].
% 5.74/6.05 18268 para(c3,c1,c2,c2). [resolve(15930,a,946,a)].
% 5.74/6.05 18518 -perp(c2,c2,A,B) | perp(c1,c2,A,B). [resolve(16063,a,120,a)].
% 5.74/6.05 19001 cong(c3,c6,c3,c5). [resolve(16923,a,160,b),unit_del(a,18026)].
% 5.74/6.05 19667 perp(c6,c6,c6,c5). [resolve(17759,a,117,a)].
% 5.74/6.05 20060 -perp(c6,c6,A,B) | para(c6,c5,A,B). [resolve(18169,a,119,a)].
% 5.74/6.05 20333 para(c2,c2,c3,c1). [resolve(18268,a,115,a)].
% 5.74/6.05 21032 para(A,B,A,B). [resolve(3020,a,148,a)].
% 5.74/6.05 21608 midp(c3,c6,c5). [resolve(19001,a,172,a),unit_del(a,1267)].
% 5.74/6.05 21613 midp(c2,c6,c3). [resolve(21608,a,2785,a),unit_del(a,1555)].
% 5.74/6.05 21635 midp(c2,c3,c6). [resolve(21613,a,121,a)].
% 5.74/6.05 21660 midp(c6,c3,c2). [resolve(21635,a,1148,a),unit_del(a,1431)].
% 5.74/6.05 21715 midp(c6,c2,c3). [resolve(21660,a,121,a)].
% 5.74/6.05 22334 -perp(A,B,c6,c6) | para(A,B,c6,c5). [resolve(19667,a,119,b)].
% 5.74/6.05 22614 -midp(A,c2,c3) | midp(A,c1,c2). [resolve(20333,a,169,c),unit_del(b,16727)].
% 5.74/6.05 23018 -midp(A,B,B) | midp(A,C,C). [resolve(21032,a,298,b)].
% 5.74/6.05 23019 coll(A,B,B). [resolve(21032,a,171,a)].
% 5.74/6.05 23049 coll(A,A,B). [resolve(23019,a,284,a)].
% 5.74/6.05 23311 coll(c2,A,c6). [back_unit_del(561),unit_del(a,23049)].
% 5.74/6.05 23518 -midp(c6,A,c2) | midp(c2,A,c6). [back_unit_del(1033),unit_del(b,23311)].
% 5.74/6.05 26140 midp(c6,c1,c2). [resolve(22614,a,21715,a)].
% 5.74/6.05 26244 midp(c6,A,A). [resolve(23018,a,17976,a)].
% 5.74/6.05 26251 cong(c6,A,c6,A). [resolve(26244,a,173,a)].
% 5.74/6.05 26337 perp(c6,c6,A,B). [resolve(26251,a,161,b),unit_del(a,26251)].
% 5.74/6.05 26342 para(c6,c5,A,B). [back_unit_del(20060),unit_del(a,26337)].
% 5.74/6.05 26346 perp(c2,c2,A,B). [back_unit_del(15889),unit_del(a,26337)].
% 5.74/6.05 26359 perp(c1,c2,A,B). [back_unit_del(18518),unit_del(a,26346)].
% 5.74/6.05 26633 perp(A,B,c6,c6). [resolve(26337,a,118,a)].
% 5.74/6.05 26638 para(A,B,c6,c5). [back_unit_del(22334),unit_del(a,26633)].
% 5.74/6.05 26672 para(A,B,C,D). [resolve(26342,a,116,b),unit_del(a,26638)].
% 5.74/6.05 26674 -midp(A,B,C) | midp(A,D,E). [back_unit_del(169),unit_del(b,26672),unit_del(c,26672)].
% 5.74/6.05 26681 -midp(c2,A,B) | cong(c1,A,c1,B). [resolve(26359,a,160,b)].
% 5.74/6.05 27105 midp(c2,c1,c6). [resolve(23518,a,26140,a)].
% 5.74/6.05 27107 midp(c2,c6,c1). [resolve(27105,a,121,a)].
% 5.74/6.05 27410 midp(c2,A,B). [resolve(26674,a,27107,a)].
% 5.74/6.05 27424 cong(c1,A,c1,B). [back_unit_del(26681),unit_del(a,27410)].
% 5.74/6.05 27425 $F. [resolve(27424,a,217,a)].
% 5.74/6.05
% 5.74/6.05 % SZS output end Refutation
% 5.74/6.05 ============================== end of proof ==========================
% 5.74/6.05
% 5.74/6.05 ============================== STATISTICS ============================
% 5.74/6.05
% 5.74/6.05 Given=9549. Generated=130359. Kept=27298. proofs=1.
% 5.74/6.05 Usable=7681. Sos=6282. Demods=0. Limbo=14, Disabled=13493. Hints=0.
% 5.74/6.05 Megabytes=14.85.
% 5.74/6.05 User_CPU=4.93, System_CPU=0.08, Wall_clock=5.
% 5.74/6.05
% 5.74/6.05 ============================== end of statistics =====================
% 5.74/6.05
% 5.74/6.05 ============================== end of search =========================
% 5.74/6.05
% 5.74/6.05 THEOREM PROVED
% 5.74/6.05 % SZS status Theorem
% 5.74/6.05
% 5.74/6.05 Exiting with 1 proof.
% 5.74/6.05
% 5.74/6.05 Process 28824 exit (max_proofs) Sat Jun 18 07:17:49 2022
% 5.74/6.05 Prover9 interrupted
%------------------------------------------------------------------------------