TSTP Solution File: GEO584+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 05:57:05 EDT 2022
% Result : Theorem 15.29s 15.61s
% Output : Refutation 15.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Fri Jun 17 22:56:14 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.97/1.27 ============================== Prover9 ===============================
% 0.97/1.27 Prover9 (32) version 2009-11A, November 2009.
% 0.97/1.27 Process 3415 was started by sandbox2 on n013.cluster.edu,
% 0.97/1.27 Fri Jun 17 22:56:15 2022
% 0.97/1.27 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3261_n013.cluster.edu".
% 0.97/1.27 ============================== end of head ===========================
% 0.97/1.27
% 0.97/1.27 ============================== INPUT =================================
% 0.97/1.27
% 0.97/1.27 % Reading from file /tmp/Prover9_3261_n013.cluster.edu
% 0.97/1.27
% 0.97/1.27 set(prolog_style_variables).
% 0.97/1.27 set(auto2).
% 0.97/1.27 % set(auto2) -> set(auto).
% 0.97/1.27 % set(auto) -> set(auto_inference).
% 0.97/1.27 % set(auto) -> set(auto_setup).
% 0.97/1.27 % set(auto_setup) -> set(predicate_elim).
% 0.97/1.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.97/1.27 % set(auto) -> set(auto_limits).
% 0.97/1.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.97/1.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.97/1.27 % set(auto) -> set(auto_denials).
% 0.97/1.27 % set(auto) -> set(auto_process).
% 0.97/1.27 % set(auto2) -> assign(new_constants, 1).
% 0.97/1.27 % set(auto2) -> assign(fold_denial_max, 3).
% 0.97/1.27 % set(auto2) -> assign(max_weight, "200.000").
% 0.97/1.27 % set(auto2) -> assign(max_hours, 1).
% 0.97/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.97/1.27 % set(auto2) -> assign(max_seconds, 0).
% 0.97/1.27 % set(auto2) -> assign(max_minutes, 5).
% 0.97/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.97/1.27 % set(auto2) -> set(sort_initial_sos).
% 0.97/1.27 % set(auto2) -> assign(sos_limit, -1).
% 0.97/1.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.97/1.27 % set(auto2) -> assign(max_megs, 400).
% 0.97/1.27 % set(auto2) -> assign(stats, some).
% 0.97/1.27 % set(auto2) -> clear(echo_input).
% 0.97/1.27 % set(auto2) -> set(quiet).
% 0.97/1.27 % set(auto2) -> clear(print_initial_clauses).
% 0.97/1.27 % set(auto2) -> clear(print_given).
% 0.97/1.27 assign(lrs_ticks,-1).
% 0.97/1.27 assign(sos_limit,10000).
% 0.97/1.27 assign(order,kbo).
% 0.97/1.27 set(lex_order_vars).
% 0.97/1.27 clear(print_given).
% 0.97/1.27
% 0.97/1.27 % formulas(sos). % not echoed (95 formulas)
% 0.97/1.27
% 0.97/1.27 ============================== end of input ==========================
% 0.97/1.27
% 0.97/1.27 % From the command line: assign(max_seconds, 300).
% 0.97/1.27
% 0.97/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.97/1.27
% 0.97/1.27 % Formulas that are not ordinary clauses:
% 0.97/1.27 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.97/1.27 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.27 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.97/1.28 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].
% 0.97/1.28 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.97/1.28 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 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].
% 0.97/1.28 95 -(all A all B all C all O all D all E all Q all P all S all R all NWPNT1 all NWPNT2 (circle(O,A,B,C) & circle(O,A,D,NWPNT1) & circle(O,A,E,NWPNT2) & perp(Q,E,B,C) & coll(Q,B,C) & perp(P,E,A,B) & coll(P,A,B) & perp(S,E,A,D) & coll(S,A,D) & perp(R,E,C,D) & coll(R,C,D) -> eqangle(E,P,P,S,E,Q,Q,R))) # label(exemplo6GDDFULL416046) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.97/1.28
% 0.97/1.28 ============================== end of process non-clausal formulas ===
% 0.97/1.28
% 0.97/1.28 ============================== PROCESS INITIAL CLAUSES ===============
% 0.97/1.28
% 0.97/1.28 ============================== PREDICATE ELIMINATION =================
% 0.97/1.28 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)].
% 0.97/1.28 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 100 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.97/1.28 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)].
% 0.97/1.28 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.97/1.28 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)].
% 0.97/1.28 103 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 104 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 105 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 106 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 107 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 108 -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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 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)].
% 0.97/1.28 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 0.97/1.28 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.97/1.28 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.97/1.28 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.97/1.28 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.97/1.28 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.97/1.28 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 15.29/15.61 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)].
% 15.29/15.61 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)].
% 15.29/15.61 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)].
% 15.29/15.61 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)].
% 15.29/15.61 110 circle(c4,c1,c5,c11) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c11,c1,c11,c5). [resolve(110,a,96,a)].
% 15.29/15.61 Derived: -eqangle(c1,A,c1,c5,c11,c1,c11,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 15.29/15.61 Derived: -midp(A,c5,c11) | eqangle(c1,c5,c1,c11,c4,c5,c4,A). [resolve(110,a,99,a)].
% 15.29/15.61 Derived: -coll(A,c5,c11) | -eqangle(c1,c5,c1,c11,c4,c5,c4,A) | midp(A,c5,c11). [resolve(110,a,100,a)].
% 15.29/15.61 Derived: -coll(c4,c1,c11) | perp(c1,c5,c5,c11). [resolve(110,a,101,a)].
% 15.29/15.61 Derived: perp(f12(c1,c5,c11,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c11,A,c4,B),c1,c11). [resolve(110,a,103,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c11,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c11,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c11,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 15.29/15.61 111 circle(c4,c1,c6,c12) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c6,c12,c1,c12,c6). [resolve(111,a,96,a)].
% 15.29/15.61 Derived: -eqangle(c1,A,c1,c6,c12,c1,c12,c6) | perp(c4,c1,c1,A). [resolve(111,a,98,a)].
% 15.29/15.61 Derived: -midp(A,c6,c12) | eqangle(c1,c6,c1,c12,c4,c6,c4,A). [resolve(111,a,99,a)].
% 15.29/15.61 Derived: -coll(A,c6,c12) | -eqangle(c1,c6,c1,c12,c4,c6,c4,A) | midp(A,c6,c12). [resolve(111,a,100,a)].
% 15.29/15.61 Derived: -coll(c4,c1,c12) | perp(c1,c6,c6,c12). [resolve(111,a,101,a)].
% 15.29/15.61 Derived: perp(f12(c1,c6,c12,c4),c1,c1,c4). [resolve(111,a,102,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f13(c1,c6,c12,A,c4,B),c1,c12). [resolve(111,a,103,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f13(c1,c6,c12,A,c4,B),B,B,c1). [resolve(111,a,104,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f14(c1,c6,c12,A,c4,B),c6,A). [resolve(111,a,105,a)].
% 15.29/15.61 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f14(c1,c6,c12,A,c4,B),B,B,c1). [resolve(111,a,106,a)].
% 15.29/15.61
% 15.29/15.61 ============================== end predicate elimination =============
% 15.29/15.61
% 15.29/15.61 Auto_denials: (non-Horn, no changes).
% 15.29/15.61
% 15.29/15.61 Term ordering decisions:
% 15.29/15.61 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. f19=1. f1=1. f2=1. f3=1. f4=1. f10=1. f11=1. f12=1. f16=1. f5=1. f9=1. f15=1. f17=1. f18=1. f6=1. f13=1. f14=1. f20=1. f7=1. f8=1.
% 15.29/15.61
% 15.29/15.61 ============================== end of process initial clauses ========
% 15.29/15.61
% 15.29/15.61 ============================== CLAUSES FOR SEARCH ====================
% 15.29/15.61
% 15.29/15.61 ============================== end of clauses for search =============
% 15.29/15.61
% 15.29/15.61 ============================== SEARCH ================================
% 15.29/15.61
% 15.29/15.61 % Starting search at 0.05 seconds.
% 15.29/15.61
% 15.29/15.61 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.16 sec).
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=26.000, iters=3370
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=22.000, iters=3379
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=21.000, iters=3426
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=18.000, iters=3375
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=17.000, iters=3336
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=16.000, iters=3334
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=13.000, iters=3343
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=12.000, iters=3335
% 15.29/15.61
% 15.29/15.61 Low Water (displace): id=10086, wt=26.000
% 15.29/15.61
% 15.29/15.61 Low Water (displace): id=19045, wt=8.000
% 15.29/15.61
% 15.29/15.61 Low Water (keep): wt=10.000, iters=3514
% 15.29/15.61
% 15.29/15.61 ============================== PROOF =================================
% 15.29/15.61 % SZS status Theorem
% 15.29/15.61 % SZS output start Refutation
% 15.29/15.61
% 15.29/15.61 % Proof 1 at 14.24 (+ 0.12) seconds.
% 15.29/15.61 % Length of proof is 321.
% 15.29/15.61 % Level of proof is 40.
% 15.29/15.61 % Maximum clause weight is 29.000.
% 15.29/15.61 % Given clauses 18878.
% 15.29/15.61
% 15.29/15.61 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 15.29/15.61 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 15.29/15.61 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 15.29/15.61 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].
% 15.29/15.61 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].
% 15.29/15.61 95 -(all A all B all C all O all D all E all Q all P all S all R all NWPNT1 all NWPNT2 (circle(O,A,B,C) & circle(O,A,D,NWPNT1) & circle(O,A,E,NWPNT2) & perp(Q,E,B,C) & coll(Q,B,C) & perp(P,E,A,B) & coll(P,A,B) & perp(S,E,A,D) & coll(S,A,D) & perp(R,E,C,D) & coll(R,C,D) -> eqangle(E,P,P,S,E,Q,Q,R))) # label(exemplo6GDDFULL416046) # label(negated_conjecture) # label(non_clause). [assumption].
% 15.29/15.61 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 15.29/15.61 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)].
% 15.29/15.61 100 -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)].
% 15.29/15.61 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 15.29/15.61 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 15.29/15.61 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 15.29/15.61 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 15.29/15.61 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 15.29/15.61 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 15.29/15.61 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 15.29/15.61 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 15.29/15.61 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 15.29/15.61 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 15.29/15.61 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 15.29/15.61 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 15.29/15.61 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 15.29/15.61 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 15.29/15.61 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 15.29/15.61 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 15.29/15.61 131 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 15.29/15.61 132 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(E,F,V6,V7,V8,V9,V10,V11) | eqangle(A,B,C,D,V8,V9,V10,V11) # label(ruleD22) # label(axiom). [clausify(22)].
% 15.29/15.61 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 15.29/15.61 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 15.29/15.61 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 15.29/15.61 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 15.29/15.61 151 -cyclic(A,B,C,D) | eqangle(C,A,C,B,D,A,D,B) # label(ruleD41) # label(axiom). [clausify(41)].
% 15.29/15.61 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 15.29/15.61 154 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 15.29/15.61 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 15.29/15.61 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 15.29/15.61 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 15.29/15.61 163 -cong(A,B,C,B) | -cong(A,D,C,D) | -cyclic(A,C,B,D) | perp(B,A,A,D) # label(ruleD57) # label(axiom). [clausify(58)].
% 15.29/15.61 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 15.29/15.61 171 -para(A,B,C,D) | -coll(E,A,C) | -coll(E,B,D) | eqratio(E,A,A,C,E,B,B,D) # label(ruleD65) # label(axiom). [clausify(66)].
% 15.29/15.61 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 15.29/15.61 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 15.29/15.61 180 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(76)].
% 15.29/15.61 211 perp(c7,c6,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 212 coll(c7,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 213 perp(c8,c6,c1,c2) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 214 coll(c8,c1,c2) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 215 perp(c9,c6,c1,c5) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 216 coll(c9,c1,c5) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 218 coll(c10,c3,c5) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 219 -eqangle(c6,c8,c8,c9,c6,c7,c7,c10) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)].
% 15.29/15.61 222 -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)].
% 15.29/15.61 223 -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)].
% 15.29/15.61 262 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 15.29/15.61 263 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 15.29/15.61 300 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 15.29/15.61 305 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(127,a,b)].
% 15.29/15.61 306 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(154,a,b)].
% 15.29/15.61 308 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(154,b,c)].
% 15.29/15.61 311 -cong(A,B,C,B) | -cyclic(A,C,B,B) | perp(B,A,A,B). [factor(163,a,b)].
% 15.29/15.61 314 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 15.29/15.61 337 -midp(A,B,B) | eqangle(C,B,C,B,D,B,D,A) | -cong(D,C,D,B). [factor(222,c,d)].
% 15.29/15.61 338 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(223,d,e)].
% 15.29/15.61 355 -cyclic(A,B,C,D) | -eqangle(C,A,C,B,D,D,D,D) | cong(A,B,D,D). [factor(306,a,b)].
% 15.29/15.61 374 -perp(A,B,c7,c6) | para(A,B,c2,c3). [resolve(211,a,120,b)].
% 15.29/15.61 375 -perp(c2,c3,A,B) | para(c7,c6,A,B). [resolve(211,a,120,a)].
% 15.29/15.61 376 perp(c2,c3,c7,c6). [resolve(211,a,119,a)].
% 15.29/15.61 377 perp(c7,c6,c3,c2). [resolve(211,a,118,a)].
% 15.29/15.61 378 -coll(c7,c2,A) | coll(A,c3,c7). [resolve(212,a,114,b)].
% 15.29/15.61 381 coll(c7,c3,c2). [resolve(212,a,112,a)].
% 15.29/15.61 393 -perp(A,B,c8,c6) | para(A,B,c1,c2). [resolve(213,a,120,b)].
% 15.29/15.61 395 perp(c1,c2,c8,c6). [resolve(213,a,119,a)].
% 15.29/15.61 396 perp(c8,c6,c2,c1). [resolve(213,a,118,a)].
% 15.29/15.61 397 -coll(c8,c1,A) | coll(A,c2,c8). [resolve(214,a,114,b)].
% 15.29/15.61 399 coll(c1,c8,c2). [resolve(214,a,113,a)].
% 15.29/15.61 400 coll(c8,c2,c1). [resolve(214,a,112,a)].
% 15.29/15.61 412 -perp(A,B,c9,c6) | para(A,B,c1,c5). [resolve(215,a,120,b)].
% 15.29/15.61 414 perp(c1,c5,c9,c6). [resolve(215,a,119,a)].
% 15.29/15.61 418 coll(c1,c9,c5). [resolve(216,a,113,a)].
% 15.29/15.61 438 coll(c10,c5,c3). [resolve(218,a,112,a)].
% 15.29/15.61 459 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(263,a,120,b)].
% 15.29/15.61 461 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(263,a,119,a)].
% 15.29/15.61 514 coll(c5,c5,c10). [resolve(300,a,218,a)].
% 15.29/15.61 516 coll(c2,c2,c8). [resolve(300,a,214,a)].
% 15.29/15.61 517 coll(c3,c3,c7). [resolve(300,a,212,a)].
% 15.29/15.61 522 coll(c2,c2,c7). [resolve(381,a,300,a)].
% 15.29/15.61 526 coll(c2,c2,c1). [resolve(399,a,300,a)].
% 15.29/15.61 530 coll(c1,c1,c8). [resolve(400,a,300,a)].
% 15.29/15.61 534 coll(c5,c5,c1). [resolve(418,a,300,a)].
% 15.29/15.61 546 coll(c3,c3,c10). [resolve(438,a,300,a)].
% 15.29/15.61 548 -coll(c10,c5,A) | coll(c3,A,c10). [resolve(438,a,114,a)].
% 15.29/15.61 551 -coll(c5,c5,A) | coll(A,c10,c5). [resolve(514,a,114,b)].
% 15.29/15.61 561 coll(c2,c8,c2). [resolve(516,a,112,a)].
% 15.29/15.61 562 coll(c7,c7,c3). [resolve(517,a,300,a)].
% 15.29/15.61 563 -coll(c3,c3,A) | coll(A,c7,c3). [resolve(517,a,114,b)].
% 15.29/15.61 575 -coll(c2,c2,A) | coll(c7,A,c2). [resolve(522,a,114,a)].
% 15.29/15.61 579 coll(c1,c1,c2). [resolve(526,a,300,a)].
% 15.29/15.61 587 -coll(c1,c1,A) | coll(A,c8,c1). [resolve(530,a,114,b)].
% 15.29/15.61 589 coll(c1,c8,c1). [resolve(530,a,112,a)].
% 15.29/15.61 614 -coll(c3,c3,A) | coll(c10,A,c3). [resolve(546,a,114,a)].
% 15.29/15.61 634 coll(c2,c2,c2). [resolve(561,a,300,a)].
% 15.29/15.61 640 coll(c7,c3,c7). [resolve(562,a,112,a)].
% 15.29/15.61 661 coll(c1,c2,c1). [resolve(579,a,112,a)].
% 15.29/15.61 670 coll(c1,c1,c1). [resolve(589,a,300,a)].
% 15.29/15.61 691 para(c7,c6,c7,c6). [resolve(376,a,375,a)].
% 15.29/15.61 692 para(c2,c3,c2,c3). [resolve(376,a,374,a)].
% 15.29/15.61 704 -perp(A,B,c2,c3) | para(A,B,c7,c6). [resolve(376,a,120,b)].
% 15.29/15.61 731 perp(c3,c2,c7,c6). [resolve(377,a,119,a)].
% 15.29/15.61 752 coll(c7,c7,c7). [resolve(640,a,300,a)].
% 15.29/15.61 771 coll(c2,c1,c1). [resolve(661,a,113,a)].
% 15.29/15.61 855 perp(c2,c1,c8,c6). [resolve(396,a,119,a)].
% 15.29/15.61 921 coll(c7,c6,c6). [resolve(691,a,172,a)].
% 15.29/15.61 922 -coll(A,c7,c7) | -coll(A,c6,c6) | eqratio(A,c7,c7,c7,A,c6,c6,c6). [resolve(691,a,171,a)].
% 15.29/15.61 924 eqangle(c7,c6,A,B,c7,c6,A,B). [resolve(691,a,150,a)].
% 15.29/15.61 925 para(c7,c6,c6,c7). [resolve(691,a,115,a)].
% 15.29/15.61 926 coll(c6,c6,c7). [resolve(921,a,300,a)].
% 15.29/15.61 929 coll(c6,c7,c6). [resolve(921,a,113,a)].
% 15.29/15.61 932 coll(c7,c7,c6). [resolve(926,a,300,a)].
% 15.29/15.61 934 -coll(c6,c6,A) | coll(c7,A,c6). [resolve(926,a,114,a)].
% 15.29/15.61 935 coll(c6,c6,c6). [resolve(929,a,300,a)].
% 15.29/15.61 940 coll(c7,c6,c7). [resolve(932,a,112,a)].
% 15.29/15.61 942 para(c1,c2,c1,c2). [resolve(393,a,395,a)].
% 15.29/15.61 945 coll(c6,c7,c7). [resolve(940,a,113,a)].
% 15.29/15.61 959 eqangle(c2,c3,A,B,c2,c3,A,B). [resolve(692,a,150,a)].
% 15.29/15.61 976 para(c3,c2,c2,c3). [resolve(731,a,374,a)].
% 15.29/15.61 1006 para(c2,c1,c1,c2). [resolve(855,a,393,a)].
% 15.29/15.61 1089 eqangle(c7,c6,A,B,c6,c7,A,B). [resolve(925,a,150,a)].
% 15.29/15.61 1092 para(c6,c7,c7,c6). [resolve(925,a,116,a)].
% 15.29/15.61 1102 -coll(A,c1,c1) | -coll(A,c2,c2) | eqratio(A,c1,c1,c1,A,c2,c2,c2). [resolve(942,a,171,a)].
% 15.29/15.61 1104 eqangle(c1,c2,A,B,c1,c2,A,B). [resolve(942,a,150,a)].
% 15.29/15.61 1182 para(c3,c2,c3,c2). [resolve(976,a,115,a)].
% 15.29/15.61 1241 para(c2,c1,c2,c1). [resolve(1006,a,115,a)].
% 15.29/15.61 1324 para(c6,c7,c6,c7). [resolve(1092,a,115,a)].
% 15.29/15.61 1364 eqangle(c3,c2,A,B,c3,c2,A,B). [resolve(1182,a,150,a)].
% 15.29/15.61 1396 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(1241,a,314,b)].
% 15.29/15.61 1404 -midp(c2,A,c2) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(1241,a,156,b)].
% 15.29/15.61 1405 eqangle(c2,c1,A,B,c2,c1,A,B). [resolve(1241,a,150,a)].
% 15.29/15.61 1434 -midp(A,c6,c6) | midp(A,c7,c7). [resolve(1324,a,314,b)].
% 15.29/15.61 1457 para(c1,c5,c1,c5). [resolve(412,a,414,a)].
% 15.29/15.61 1477 -midp(A,c1,c1) | midp(A,c5,c5). [resolve(1457,a,314,b)].
% 15.29/15.61 1594 coll(c1,c10,c5). [resolve(551,a,534,a)].
% 15.29/15.61 1598 coll(c10,c1,c5). [resolve(1594,a,113,a)].
% 15.29/15.61 1606 coll(c10,c5,c1). [resolve(1598,a,112,a)].
% 15.29/15.61 1620 coll(c3,c1,c10). [resolve(1606,a,548,a)].
% 15.29/15.61 1650 coll(c3,c10,c1). [resolve(1620,a,112,a)].
% 15.29/15.61 1685 -coll(c3,c10,A) | coll(A,c1,c3). [resolve(1650,a,114,b)].
% 15.29/15.61 2079 para(c1,c4,c1,c4). [resolve(461,a,459,a)].
% 15.29/15.61 2193 coll(c1,c4,c4). [resolve(2079,a,172,a)].
% 15.29/15.61 2198 coll(c4,c4,c1). [resolve(2193,a,300,a)].
% 15.29/15.61 2208 coll(c1,c1,c4). [resolve(2198,a,300,a)].
% 15.29/15.61 2281 coll(c10,c7,c3). [resolve(563,a,546,a)].
% 15.29/15.61 2293 coll(c10,c3,c7). [resolve(2281,a,112,a)].
% 15.29/15.61 2313 coll(c7,c7,c10). [resolve(2293,a,300,a)].
% 15.29/15.61 3033 coll(c4,c8,c1). [resolve(587,a,2208,a)].
% 15.29/15.61 3042 coll(c8,c4,c1). [resolve(3033,a,113,a)].
% 15.29/15.61 3046 coll(c8,c1,c4). [resolve(3042,a,112,a)].
% 15.29/15.61 3058 coll(c4,c2,c8). [resolve(3046,a,397,a)].
% 15.29/15.61 3079 coll(c4,c8,c2). [resolve(3058,a,112,a)].
% 15.29/15.61 3108 coll(c2,c2,c4). [resolve(3079,a,300,a)].
% 15.29/15.61 3162 coll(c7,c4,c2). [resolve(3108,a,575,a)].
% 15.29/15.61 3186 coll(c7,c2,c4). [resolve(3162,a,112,a)].
% 15.29/15.61 3203 coll(c4,c3,c7). [resolve(3186,a,378,a)].
% 15.29/15.61 3247 coll(c4,c7,c3). [resolve(3203,a,112,a)].
% 15.29/15.61 3291 coll(c3,c3,c4). [resolve(3247,a,300,a)].
% 15.29/15.61 3397 coll(c10,c4,c3). [resolve(614,a,3291,a)].
% 15.29/15.61 3467 coll(c10,c3,c4). [resolve(3397,a,112,a)].
% 15.29/15.61 3530 coll(c3,c10,c4). [resolve(3467,a,113,a)].
% 15.29/15.61 4426 coll(c4,c1,c3). [resolve(1685,a,3530,a)].
% 15.29/15.61 4427 perp(c1,c2,c2,c3). [back_unit_del(262),unit_del(a,4426)].
% 15.29/15.61 4474 para(c1,c2,c7,c6). [resolve(4427,a,704,a)].
% 15.29/15.61 4517 para(c7,c6,c1,c2). [resolve(4474,a,116,a)].
% 15.29/15.61 4589 para(c7,c6,c2,c1). [resolve(4517,a,115,a)].
% 15.29/15.61 4675 para(c2,c1,c7,c6). [resolve(4589,a,116,a)].
% 15.29/15.61 4775 -perp(c7,c6,A,B) | perp(c2,c1,A,B). [resolve(4675,a,121,a)].
% 15.29/15.61 4778 para(c2,c1,c6,c7). [resolve(4675,a,115,a)].
% 15.29/15.61 4854 -perp(c6,c7,A,B) | perp(c2,c1,A,B). [resolve(4778,a,121,a)].
% 15.29/15.61 4978 eqratio(c6,c7,c7,c7,c6,c6,c6,c6). [resolve(922,a,945,a),unit_del(a,935)].
% 15.29/15.61 4982 midp(c6,c6,c6) | -cong(c7,c7,c7,c6). [resolve(924,a,338,b),unit_del(a,935)].
% 15.29/15.61 4983 -cyclic(c6,c7,c7,c6) | -cyclic(c6,c7,c7,c7) | cong(c6,c7,c6,c7). [resolve(924,a,308,c)].
% 15.29/15.61 4993 -coll(c7,c7,A) | cyclic(c6,A,c7,c7). [resolve(924,a,153,a)].
% 15.29/15.61 4994 eqangle(c7,c6,c7,c6,A,B,A,B). [resolve(924,a,131,a)].
% 15.29/15.61 4995 eqangle(A,B,c7,c6,A,B,c7,c6). [resolve(924,a,129,a)].
% 15.29/15.61 5116 -coll(c2,c2,A) | cyclic(c3,A,c2,c2). [resolve(959,a,153,a)].
% 15.29/15.61 5118 eqangle(A,B,c2,c3,A,B,c2,c3). [resolve(959,a,129,a)].
% 15.29/15.61 5626 -eqangle(A,B,C,D,c7,c6,E,F) | eqangle(A,B,C,D,c6,c7,E,F). [resolve(1089,a,132,b)].
% 15.29/15.61 5726 eqratio(c2,c1,c1,c1,c2,c2,c2,c2). [resolve(1102,b,634,a),unit_del(a,771)].
% 15.29/15.61 5727 midp(c2,c2,c2) | -cong(c1,c1,c1,c2). [resolve(1104,a,338,b),unit_del(a,634)].
% 15.29/15.61 5729 -cyclic(c2,c2,c1,c2) | -cyclic(c2,c2,c1,c1) | cong(c2,c2,c2,c2). [resolve(1104,a,306,c)].
% 15.29/15.61 5738 -coll(c1,c1,A) | cyclic(c2,A,c1,c1). [resolve(1104,a,153,a)].
% 15.29/15.61 6642 -coll(c3,c3,A) | cyclic(c2,A,c3,c3). [resolve(1364,a,153,a)].
% 15.29/15.61 6795 midp(c1,c1,c1) | -cong(c2,c2,c2,c1). [resolve(1405,a,338,b),unit_del(a,670)].
% 15.29/15.61 6806 -coll(c2,c2,A) | cyclic(c1,A,c2,c2). [resolve(1405,a,153,a)].
% 15.29/15.61 20396 -cong(c6,c6,c6,c6) | cong(c6,c7,c7,c7). [resolve(4978,a,180,a)].
% 15.29/15.61 20483 cyclic(c6,c10,c7,c7). [resolve(4993,a,2313,a)].
% 15.29/15.61 20488 cyclic(c6,c6,c7,c7). [resolve(4993,a,932,a)].
% 15.29/15.61 20489 cyclic(c6,c7,c7,c7). [resolve(4993,a,752,a)].
% 15.29/15.61 20493 -cyclic(c6,c7,c7,c6) | cong(c6,c7,c6,c7). [back_unit_del(4983),unit_del(b,20489)].
% 15.29/15.61 20505 cyclic(c6,c7,c10,c7). [resolve(20483,a,125,a)].
% 15.29/15.61 20518 -cyclic(c6,c6,c7,A) | cong(c6,c6,A,A). [resolve(4994,a,355,b)].
% 15.29/15.61 20521 -coll(c7,A,c6) | cyclic(c6,c6,c7,A). [resolve(4994,a,153,a)].
% 15.29/15.61 20536 -cong(c6,c7,c6,c7) | perp(c7,c6,c6,c7). [resolve(20488,a,311,b)].
% 15.29/15.61 20538 -cyclic(c6,c6,c7,A) | cyclic(c6,c7,c7,A). [resolve(20488,a,127,a)].
% 15.29/15.61 20539 cyclic(c6,c7,c6,c7). [resolve(20488,a,125,a)].
% 15.29/15.61 20548 para(A,B,A,B). [resolve(4995,a,149,a)].
% 15.29/15.61 20596 cyclic(c7,c6,c10,c7). [resolve(20505,a,126,a)].
% 15.29/15.61 20597 cyclic(c6,c7,c7,c10). [resolve(20505,a,124,a)].
% 15.29/15.61 20698 cyclic(c6,c7,c7,c6). [resolve(20539,a,124,a)].
% 15.29/15.61 20700 cong(c6,c7,c6,c7). [back_unit_del(20493),unit_del(a,20698)].
% 15.29/15.61 20701 perp(c7,c6,c6,c7). [back_unit_del(20536),unit_del(a,20700)].
% 15.29/15.61 20724 -midp(A,B,B) | midp(A,C,C). [resolve(20548,a,314,b)].
% 15.29/15.61 20725 coll(A,B,B). [resolve(20548,a,172,a)].
% 15.29/15.61 20993 coll(A,A,B). [resolve(20725,a,300,a)].
% 15.29/15.61 20996 coll(A,B,A). [resolve(20725,a,113,a)].
% 15.29/15.61 21223 cyclic(c1,A,c2,c2). [back_unit_del(6806),unit_del(a,20993)].
% 15.29/15.61 21224 cyclic(c2,A,c3,c3). [back_unit_del(6642),unit_del(a,20993)].
% 15.29/15.61 21226 cyclic(c2,A,c1,c1). [back_unit_del(5738),unit_del(a,20993)].
% 15.29/15.61 21227 cyclic(c3,A,c2,c2). [back_unit_del(5116),unit_del(a,20993)].
% 15.29/15.61 21358 coll(c7,A,c6). [back_unit_del(934),unit_del(a,20993)].
% 15.29/15.61 21420 -midp(c2,A,c2) | midp(c1,A,c1). [back_unit_del(1404),unit_del(b,20996)].
% 15.37/15.61 21456 -cyclic(c2,c2,c1,c2) | cong(c2,c2,c2,c2). [back_unit_del(5729),unit_del(b,21226)].
% 15.37/15.61 21733 cyclic(c6,c6,c7,A). [back_unit_del(20521),unit_del(a,21358)].
% 15.37/15.61 21953 cyclic(c6,c7,c7,A). [back_unit_del(20538),unit_del(a,21733)].
% 15.37/15.61 21955 cong(c6,c6,A,A). [back_unit_del(20518),unit_del(a,21733)].
% 15.37/15.61 21958 cong(c6,c7,c7,c7). [back_unit_del(20396),unit_del(a,21955)].
% 15.37/15.61 21963 coll(A,B,C). [resolve(20993,a,114,b),unit_del(a,20993)].
% 15.37/15.61 21986 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E). [back_unit_del(156),unit_del(c,21963)].
% 15.37/15.61 22125 -cyclic(A,c3,c2,A) | -cyclic(A,c3,c2,c3) | -cyclic(A,c3,c2,c2) | cong(A,c3,A,c3). [resolve(5118,a,154,d)].
% 15.37/15.61 22320 -cyclic(c7,c6,c10,A) | cyclic(c6,c10,A,c7). [resolve(20596,a,127,b)].
% 15.37/15.61 22337 cyclic(c7,c7,A,c10). [resolve(20597,a,127,b),unit_del(a,21953)].
% 15.37/15.61 22687 perp(c2,c1,c6,c7). [resolve(20701,a,4775,a)].
% 15.37/15.61 22986 cyclic(A,c1,c2,c2). [resolve(21223,a,126,a)].
% 15.37/15.61 22998 cyclic(A,c2,c3,c3). [resolve(21224,a,126,a)].
% 15.37/15.61 23036 cyclic(A,c3,c2,c2). [resolve(21227,a,126,a)].
% 15.37/15.61 23039 -cyclic(A,c3,c2,A) | -cyclic(A,c3,c2,c3) | cong(A,c3,A,c3). [back_unit_del(22125),unit_del(c,23036)].
% 15.37/15.61 23140 cyclic(c6,c7,A,A). [resolve(21733,a,305,a)].
% 15.37/15.61 23146 cyclic(c6,c7,A,B). [resolve(21733,a,127,b),unit_del(a,21733)].
% 15.37/15.61 23177 cyclic(c7,c7,A,B). [resolve(21953,a,127,b),unit_del(a,23146)].
% 15.37/15.61 23244 cong(c7,c7,c6,c7). [resolve(21958,a,134,a)].
% 15.37/15.61 23389 cyclic(c7,A,c10,B). [resolve(22337,a,127,a),unit_del(a,23177)].
% 15.37/15.61 23391 cyclic(c6,c10,A,c7). [back_unit_del(22320),unit_del(a,23389)].
% 15.37/15.61 23602 perp(c6,c7,c2,c1). [resolve(22687,a,119,a)].
% 15.37/15.61 23885 cyclic(A,c2,c1,c2). [resolve(22986,a,125,a)].
% 15.37/15.61 23886 cong(c2,c2,c2,c2). [back_unit_del(21456),unit_del(a,23885)].
% 15.37/15.61 23898 cyclic(A,c3,c2,c3). [resolve(22998,a,125,a)].
% 15.37/15.61 23899 -cyclic(A,c3,c2,A) | cong(A,c3,A,c3). [back_unit_del(23039),unit_del(b,23898)].
% 15.37/15.61 23982 cyclic(c7,A,B,A). [resolve(23140,a,127,b),unit_del(a,23146)].
% 15.37/15.61 23988 cyclic(c7,A,B,C). [resolve(23146,a,127,b),unit_del(a,23146)].
% 15.37/15.61 24124 cong(c7,c7,c7,c6). [resolve(23244,a,133,a)].
% 15.37/15.61 24125 midp(c6,c6,c6). [back_unit_del(4982),unit_del(b,24124)].
% 15.37/15.61 24129 midp(c6,c7,c7). [resolve(24125,a,1434,a)].
% 15.37/15.61 24358 eqangle(A,c6,A,c10,c7,c6,c7,c10). [resolve(23391,a,151,a)].
% 15.37/15.61 24673 perp(c2,c1,c2,c1). [resolve(23602,a,4854,a)].
% 15.37/15.61 25141 cyclic(A,B,C,A). [resolve(23982,a,127,b),unit_del(a,23988)].
% 15.37/15.61 25143 cong(A,c3,A,c3). [back_unit_del(23899),unit_del(a,25141)].
% 15.37/15.61 25312 -midp(c1,c2,c1) | cong(c2,c2,c2,c1). [resolve(24673,a,161,b)].
% 15.37/15.61 25629 cong(A,c3,c3,A). [resolve(25143,a,133,a)].
% 15.37/15.61 25819 cong(c3,A,A,c3). [resolve(25629,a,134,a)].
% 15.37/15.61 25914 cong(c3,A,c3,A). [resolve(25819,a,133,a)].
% 15.37/15.61 25929 perp(c3,c3,A,B). [resolve(25914,a,162,b),unit_del(a,25914)].
% 15.37/15.61 26042 -perp(A,B,c3,c3) | para(A,B,C,D). [resolve(25929,a,120,b)].
% 15.37/15.61 26043 perp(A,B,c3,c3). [resolve(25929,a,119,a)].
% 15.37/15.61 26044 para(A,B,C,D). [back_unit_del(26042),unit_del(a,26043)].
% 15.37/15.61 26205 -midp(A,B,C) | midp(D,B,E). [back_unit_del(21986),unit_del(b,26044)].
% 15.37/15.61 26241 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(150),unit_del(a,26044)].
% 15.37/15.61 26486 cong(c2,c1,c1,c1). [resolve(5726,a,180,a),unit_del(a,23886)].
% 15.37/15.61 26492 cong(c1,c1,c2,c1). [resolve(26486,a,134,a)].
% 15.37/15.61 26495 cong(c1,c1,c1,c2). [resolve(26492,a,133,a)].
% 15.37/15.61 26496 midp(c2,c2,c2). [back_unit_del(5727),unit_del(b,26495)].
% 15.37/15.61 26497 midp(c2,c1,c1). [resolve(26496,a,1396,a)].
% 15.37/15.61 26503 midp(c2,c5,c5). [resolve(26497,a,1477,a)].
% 15.37/15.61 26714 midp(c2,A,A). [resolve(20724,a,26503,a)].
% 15.37/15.61 26716 midp(c6,A,A). [resolve(20724,a,24129,a)].
% 15.37/15.61 26734 cong(c6,A,c6,A). [resolve(26716,a,174,a)].
% 15.37/15.61 26760 cong(c6,A,A,c6). [resolve(26734,a,133,a)].
% 15.37/15.61 26767 cong(A,c6,c6,A). [resolve(26760,a,134,a)].
% 15.37/15.61 26776 cong(A,c6,A,c6). [resolve(26767,a,133,a)].
% 15.37/15.61 26826 -midp(A,c6,c6) | eqangle(c6,c6,c6,c6,B,c6,B,A). [resolve(26776,a,337,c)].
% 15.37/15.61 27403 midp(c1,c2,c1). [resolve(21420,a,26714,a)].
% 15.37/15.61 27404 cong(c2,c2,c2,c1). [back_unit_del(25312),unit_del(a,27403)].
% 15.37/15.61 27405 midp(c1,c1,c1). [back_unit_del(6795),unit_del(b,27404)].
% 15.37/15.61 27416 midp(c1,A,A). [resolve(27405,a,20724,a)].
% 15.37/15.61 28800 midp(A,B,C). [resolve(26205,a,27416,a)].
% 15.37/15.61 28855 eqangle(c6,c6,c6,c6,A,c6,A,B). [back_unit_del(26826),unit_del(a,28800)].
% 15.37/15.61 31790 eqangle(A,c6,A,c10,c6,c7,c7,c10). [resolve(24358,a,5626,a)].
% 15.37/15.61 32671 eqangle(A,B,C,D,E,F,E,F). [resolve(26241,a,131,a)].
% 15.37/15.61 33303 eqangle(A,B,C,D,E,c6,E,F). [resolve(28855,a,132,b),unit_del(a,32671)].
% 15.37/15.61 35992 eqangle(A,B,C,D,c6,c7,c7,c10). [resolve(31790,a,132,b),unit_del(a,33303)].
% 15.37/15.61 35993 $F. [resolve(35992,a,219,a)].
% 15.37/15.61
% 15.37/15.61 % SZS output end Refutation
% 15.37/15.61 ============================== end of proof ==========================
% 15.37/15.61
% 15.37/15.61 ============================== STATISTICS ============================
% 15.37/15.61
% 15.37/15.61 Given=18878. Generated=186522. Kept=35861. proofs=1.
% 15.37/15.61 Usable=15061. Sos=6488. Demods=0. Limbo=0, Disabled=14496. Hints=0.
% 15.37/15.61 Megabytes=19.12.
% 15.37/15.61 User_CPU=14.25, System_CPU=0.12, Wall_clock=14.
% 15.37/15.61
% 15.37/15.61 ============================== end of statistics =====================
% 15.37/15.61
% 15.37/15.61 ============================== end of search =========================
% 15.37/15.61
% 15.37/15.61 THEOREM PROVED
% 15.37/15.61 % SZS status Theorem
% 15.37/15.61
% 15.37/15.61 Exiting with 1 proof.
% 15.37/15.61
% 15.37/15.61 Process 3415 exit (max_proofs) Fri Jun 17 22:56:29 2022
% 15.37/15.61 Prover9 interrupted
%------------------------------------------------------------------------------