TSTP Solution File: GEO611+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 05:57:13 EDT 2022
% Result : Theorem 4.90s 5.17s
% Output : Refutation 4.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 23:17:49 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.81/1.08 ============================== Prover9 ===============================
% 0.81/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.08 Process 849 was started by sandbox2 on n023.cluster.edu,
% 0.81/1.08 Fri Jun 17 23:17:50 2022
% 0.81/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_663_n023.cluster.edu".
% 0.81/1.08 ============================== end of head ===========================
% 0.81/1.08
% 0.81/1.08 ============================== INPUT =================================
% 0.81/1.08
% 0.81/1.08 % Reading from file /tmp/Prover9_663_n023.cluster.edu
% 0.81/1.08
% 0.81/1.08 set(prolog_style_variables).
% 0.81/1.08 set(auto2).
% 0.81/1.08 % set(auto2) -> set(auto).
% 0.81/1.08 % set(auto) -> set(auto_inference).
% 0.81/1.08 % set(auto) -> set(auto_setup).
% 0.81/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.08 % set(auto) -> set(auto_limits).
% 0.81/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.08 % set(auto) -> set(auto_denials).
% 0.81/1.08 % set(auto) -> set(auto_process).
% 0.81/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.08 % set(auto2) -> assign(stats, some).
% 0.81/1.08 % set(auto2) -> clear(echo_input).
% 0.81/1.08 % set(auto2) -> set(quiet).
% 0.81/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.08 % set(auto2) -> clear(print_given).
% 0.81/1.08 assign(lrs_ticks,-1).
% 0.81/1.08 assign(sos_limit,10000).
% 0.81/1.08 assign(order,kbo).
% 0.81/1.08 set(lex_order_vars).
% 0.81/1.08 clear(print_given).
% 0.81/1.08
% 0.81/1.08 % formulas(sos). % not echoed (95 formulas)
% 0.81/1.08
% 0.81/1.08 ============================== end of input ==========================
% 0.81/1.08
% 0.81/1.08 % From the command line: assign(max_seconds, 300).
% 0.81/1.08
% 0.81/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.08
% 0.81/1.08 % Formulas that are not ordinary clauses:
% 0.81/1.08 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 3 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 4 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 7 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 8 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 9 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 12 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 14 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 15 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 16 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(B,A,C,D))) # label(ruleD16) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 17 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 19 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 20 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(P,Q,U,V,A,B,C,D))) # label(ruleD20) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 21 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 22 (all A all B all C all D all P all Q all U all V all E all F all G all H (eqangle(A,B,C,D,P,Q,U,V) & eqangle(P,Q,U,V,E,F,G,H) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 23 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 39 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 43 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 54 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 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].
% 0.81/1.08 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 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].
% 0.81/1.09 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 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].
% 0.81/1.09 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 95 -(all A all B all C all D all E all F all G all H all NWPNT1 all NWPNT2 (circle(D,A,B,C) & circle(D,A,E,NWPNT1) & perp(F,E,A,C) & coll(F,A,C) & perp(G,E,A,B) & coll(G,A,B) & circle(D,E,H,NWPNT2) & coll(H,E,G) -> para(G,F,H,C))) # label(exemplo6GDDFULL618073) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.81/1.09
% 0.81/1.09 ============================== end of process non-clausal formulas ===
% 0.81/1.09
% 0.81/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.09
% 0.81/1.09 ============================== PREDICATE ELIMINATION =================
% 0.81/1.09 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)].
% 0.81/1.09 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 100 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.81/1.09 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)].
% 0.81/1.09 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.81/1.09 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)].
% 0.81/1.09 103 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 104 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 105 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 106 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 107 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 108 -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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 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)].
% 0.81/1.09 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 0.81/1.09 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.81/1.09 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.81/1.09 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.81/1.09 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.81/1.09 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.81/1.09 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.81/1.09 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)].
% 2.72/2.99 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)].
% 2.72/2.99 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)].
% 2.72/2.99 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)].
% 2.72/2.99 110 circle(c4,c1,c5,c9) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 2.72/2.99 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c9,c1,c9,c5). [resolve(110,a,96,a)].
% 2.72/2.99 Derived: -eqangle(c1,A,c1,c5,c9,c1,c9,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 2.72/2.99 Derived: -midp(A,c5,c9) | eqangle(c1,c5,c1,c9,c4,c5,c4,A). [resolve(110,a,99,a)].
% 2.72/2.99 Derived: -coll(A,c5,c9) | -eqangle(c1,c5,c1,c9,c4,c5,c4,A) | midp(A,c5,c9). [resolve(110,a,100,a)].
% 2.72/2.99 Derived: -coll(c4,c1,c9) | perp(c1,c5,c5,c9). [resolve(110,a,101,a)].
% 2.72/2.99 Derived: perp(f12(c1,c5,c9,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 2.72/2.99 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c9,A,c4,B),c1,c9). [resolve(110,a,103,a)].
% 2.72/2.99 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c9,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 2.72/2.99 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c9,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 2.72/2.99 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c9,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 2.72/2.99 111 circle(c4,c5,c8,c10) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 2.72/2.99 Derived: -perp(c4,c5,c5,A) | eqangle(c5,A,c5,c8,c10,c5,c10,c8). [resolve(111,a,96,a)].
% 2.72/2.99 Derived: -eqangle(c5,A,c5,c8,c10,c5,c10,c8) | perp(c4,c5,c5,A). [resolve(111,a,98,a)].
% 2.72/2.99 Derived: -midp(A,c8,c10) | eqangle(c5,c8,c5,c10,c4,c8,c4,A). [resolve(111,a,99,a)].
% 2.72/2.99 Derived: -coll(A,c8,c10) | -eqangle(c5,c8,c5,c10,c4,c8,c4,A) | midp(A,c8,c10). [resolve(111,a,100,a)].
% 2.72/2.99 Derived: -coll(c4,c5,c10) | perp(c5,c8,c8,c10). [resolve(111,a,101,a)].
% 2.72/2.99 Derived: perp(f12(c5,c8,c10,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 2.72/2.99 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | coll(f13(c5,c8,c10,A,c4,B),c5,c10). [resolve(111,a,103,a)].
% 2.72/2.99 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | cong(f13(c5,c8,c10,A,c4,B),B,B,c5). [resolve(111,a,104,a)].
% 2.72/2.99 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | coll(f14(c5,c8,c10,A,c4,B),c8,A). [resolve(111,a,105,a)].
% 2.72/2.99 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c8) | B = c4 | cong(f14(c5,c8,c10,A,c4,B),B,B,c5). [resolve(111,a,106,a)].
% 2.72/2.99
% 2.72/2.99 ============================== end predicate elimination =============
% 2.72/2.99
% 2.72/2.99 Auto_denials: (non-Horn, no changes).
% 2.72/2.99
% 2.72/2.99 Term ordering decisions:
% 2.72/2.99 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=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.
% 2.72/2.99
% 2.72/2.99 ============================== end of process initial clauses ========
% 2.72/2.99
% 2.72/2.99 ============================== CLAUSES FOR SEARCH ====================
% 2.72/2.99
% 2.72/2.99 ============================== end of clauses for search =============
% 2.72/2.99
% 2.72/2.99 ============================== SEARCH ================================
% 2.72/2.99
% 2.72/2.99 % Starting search at 0.05 seconds.
% 2.72/2.99
% 2.72/2.99 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.16 sec).
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=26.000, iters=3335
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=23.000, iters=3333
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=22.000, iters=3333
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=21.000, iters=3338
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=18.000, iters=3336
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=17.000, iters=3371
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=16.000, iters=3338
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=15.000, iters=3335
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=14.000, iters=3340
% 2.72/2.99
% 2.72/2.99 Low Water (keep): wt=13.000, iters=3353
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8263, wt=57.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8260, wt=49.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8261, wt=48.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8640, wt=46.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8196, wt=45.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8264, wt=44.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8170, wt=42.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8171, wt=41.000
% 2.72/2.99
% 2.72/2.99 Low Water (displace): id=8195, wt=40.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8262, wt=39.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8172, wt=37.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8757, wt=36.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8425, wt=34.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8174, wt=33.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8742, wt=32.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8265, wt=31.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8615, wt=28.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8847, wt=27.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8906, wt=26.000
% 4.90/5.17
% 4.90/5.17 Low Water (keep): wt=12.000, iters=3391
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8175, wt=25.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=8117, wt=24.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=16055, wt=9.000
% 4.90/5.17
% 4.90/5.17 Low Water (displace): id=16079, wt=5.000
% 4.90/5.17
% 4.90/5.17 Low Water (keep): wt=11.000, iters=3371
% 4.90/5.17
% 4.90/5.17 Low Water (keep): wt=10.000, iters=3334
% 4.90/5.17
% 4.90/5.17 ============================== PROOF =================================
% 4.90/5.17 % SZS status Theorem
% 4.90/5.17 % SZS output start Refutation
% 4.90/5.17
% 4.90/5.17 % Proof 1 at 4.03 (+ 0.08) seconds.
% 4.90/5.17 % Length of proof is 211.
% 4.90/5.17 % Level of proof is 22.
% 4.90/5.17 % Maximum clause weight is 29.000.
% 4.90/5.17 % Given clauses 8123.
% 4.90/5.17
% 4.90/5.17 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 4.90/5.17 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 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].
% 4.90/5.17 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 4.90/5.17 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].
% 4.90/5.17 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 4.90/5.17 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].
% 4.90/5.17 95 -(all A all B all C all D all E all F all G all H all NWPNT1 all NWPNT2 (circle(D,A,B,C) & circle(D,A,E,NWPNT1) & perp(F,E,A,C) & coll(F,A,C) & perp(G,E,A,B) & coll(G,A,B) & circle(D,E,H,NWPNT2) & coll(H,E,G) -> para(G,F,H,C))) # label(exemplo6GDDFULL618073) # label(negated_conjecture) # label(non_clause). [assumption].
% 4.90/5.17 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 4.90/5.17 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 111 circle(c4,c5,c8,c10) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 4.90/5.17 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 4.90/5.17 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 4.90/5.17 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 4.90/5.17 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 4.90/5.17 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 4.90/5.17 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 4.90/5.17 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 4.90/5.17 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 4.90/5.17 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 4.90/5.17 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 4.90/5.17 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 4.90/5.17 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 4.90/5.17 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 4.90/5.17 131 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 4.90/5.17 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 4.90/5.17 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 4.90/5.17 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 4.90/5.17 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 4.90/5.17 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 4.90/5.17 154 -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)].
% 4.90/5.17 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 4.90/5.17 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 4.90/5.17 163 -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)].
% 4.90/5.17 169 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 4.90/5.17 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 4.90/5.17 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 4.90/5.17 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 4.90/5.17 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 4.90/5.17 211 perp(c6,c5,c1,c3) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 212 coll(c6,c1,c3) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 213 perp(c7,c5,c1,c2) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 214 coll(c7,c1,c2) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 216 -para(c7,c6,c8,c3) # label(exemplo6GDDFULL618073) # label(negated_conjecture). [clausify(95)].
% 4.90/5.17 260 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 4.90/5.17 288 perp(f12(c5,c8,c10,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 4.90/5.17 297 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 4.90/5.17 302 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(127,a,b)].
% 4.90/5.17 303 -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)].
% 4.90/5.17 310 -midp(A,B,C) | para(B,B,C,C). [factor(169,a,b)].
% 4.90/5.17 311 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 4.90/5.17 372 -perp(c1,c3,A,B) | para(c6,c5,A,B). [resolve(211,a,120,a)].
% 4.90/5.17 373 perp(c1,c3,c6,c5). [resolve(211,a,119,a)].
% 4.90/5.17 377 coll(c1,c6,c3). [resolve(212,a,113,a)].
% 4.90/5.17 378 coll(c6,c3,c1). [resolve(212,a,112,a)].
% 4.90/5.17 390 -perp(A,B,c7,c5) | para(A,B,c1,c2). [resolve(213,a,120,b)].
% 4.90/5.17 391 -perp(c1,c2,A,B) | para(c7,c5,A,B). [resolve(213,a,120,a)].
% 4.90/5.17 392 perp(c1,c2,c7,c5). [resolve(213,a,119,a)].
% 4.90/5.17 396 coll(c1,c7,c2). [resolve(214,a,113,a)].
% 4.90/5.17 397 coll(c7,c2,c1). [resolve(214,a,112,a)].
% 4.90/5.17 422 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(260,a,120,b)].
% 4.90/5.17 424 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(260,a,119,a)].
% 4.90/5.17 472 -perp(A,B,f12(c5,c8,c10,c4),c5) | para(A,B,c5,c4). [resolve(288,a,120,b)].
% 4.90/5.17 474 perp(c5,c4,f12(c5,c8,c10,c4),c5). [resolve(288,a,119,a)].
% 4.90/5.17 479 coll(c3,c3,c6). [resolve(297,a,212,a)].
% 4.90/5.17 483 coll(c1,c3,c6). [resolve(377,a,112,a)].
% 4.90/5.17 484 coll(c1,c1,c6). [resolve(378,a,297,a)].
% 4.90/5.17 488 coll(c2,c2,c1). [resolve(396,a,297,a)].
% 4.90/5.17 492 coll(c1,c1,c7). [resolve(397,a,297,a)].
% 4.90/5.17 512 coll(c6,c6,c3). [resolve(479,a,297,a)].
% 4.90/5.17 520 coll(c6,c6,c1). [resolve(483,a,297,a)].
% 4.90/5.17 524 -coll(c1,c1,A) | coll(A,c6,c1). [resolve(484,a,114,b)].
% 4.90/5.17 526 coll(c1,c6,c1). [resolve(484,a,112,a)].
% 4.90/5.17 529 coll(c1,c1,c2). [resolve(488,a,297,a)].
% 4.90/5.17 571 coll(c6,c3,c6). [resolve(512,a,112,a)].
% 4.90/5.17 633 coll(c6,c6,c6). [resolve(571,a,297,a)].
% 4.90/5.17 643 para(c6,c5,c6,c5). [resolve(373,a,372,a)].
% 4.90/5.17 735 perp(c1,c2,c5,c7). [resolve(392,a,118,a)].
% 4.90/5.17 752 -midp(A,c6,c6) | midp(A,c5,c5). [resolve(643,a,311,b)].
% 4.90/5.17 759 coll(c6,c5,c5). [resolve(643,a,172,a)].
% 4.90/5.17 761 -midp(c6,A,c6) | -coll(c5,A,c5) | midp(c5,A,c5). [resolve(643,a,156,b)].
% 4.90/5.17 762 eqangle(c6,c5,A,B,c6,c5,A,B). [resolve(643,a,150,a)].
% 4.90/5.17 763 para(c6,c5,c5,c6). [resolve(643,a,115,a)].
% 4.90/5.17 764 coll(c5,c5,c6). [resolve(759,a,297,a)].
% 4.90/5.17 767 coll(c5,c6,c5). [resolve(759,a,113,a)].
% 4.90/5.17 770 coll(c6,c6,c5). [resolve(764,a,297,a)].
% 4.90/5.17 772 -coll(c5,c5,A) | coll(c6,A,c5). [resolve(764,a,114,a)].
% 4.90/5.17 868 para(c5,c6,c6,c5). [resolve(763,a,116,a)].
% 4.90/5.17 969 para(c5,c6,c5,c6). [resolve(868,a,115,a)].
% 4.90/5.17 1019 eqangle(c5,c6,A,B,c5,c6,A,B). [resolve(969,a,150,a)].
% 4.90/5.17 1021 para(c1,c2,c1,c2). [resolve(390,a,392,a)].
% 4.90/5.17 1049 -midp(c1,A,c1) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(1021,a,156,b)].
% 4.90/5.17 1050 eqangle(c1,c2,A,B,c1,c2,A,B). [resolve(1021,a,150,a)].
% 4.90/5.17 1078 para(c7,c5,c5,c7). [resolve(391,a,735,a)].
% 4.90/5.17 1095 para(c5,c7,c7,c5). [resolve(1078,a,116,a)].
% 4.90/5.17 1123 para(c5,c7,c5,c7). [resolve(1095,a,115,a)].
% 4.90/5.17 1126 -midp(A,c5,c5) | midp(A,c7,c7). [resolve(1123,a,311,b)].
% 4.90/5.17 1353 para(c1,c4,c1,c4). [resolve(424,a,422,a)].
% 4.90/5.17 1377 coll(c1,c4,c4). [resolve(1353,a,172,a)].
% 4.90/5.17 1381 para(c1,c4,c4,c1). [resolve(1353,a,115,a)].
% 4.90/5.17 1382 coll(c4,c4,c1). [resolve(1377,a,297,a)].
% 4.90/5.17 1390 coll(c1,c1,c4). [resolve(1382,a,297,a)].
% 4.90/5.17 1448 para(c4,c1,c1,c4). [resolve(1381,a,116,a)].
% 4.90/5.17 1464 para(c4,c1,c4,c1). [resolve(1448,a,115,a)].
% 4.90/5.17 1475 -midp(c4,A,c4) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(1464,a,156,b)].
% 4.90/5.17 1477 coll(c4,c6,c1). [resolve(524,a,1390,a)].
% 4.90/5.17 1480 coll(c2,c6,c1). [resolve(524,a,529,a)].
% 4.90/5.17 1481 coll(c7,c6,c1). [resolve(524,a,492,a)].
% 4.90/5.17 1486 coll(c6,c4,c1). [resolve(1477,a,113,a)].
% 4.90/5.17 1498 coll(c6,c2,c1). [resolve(1480,a,113,a)].
% 4.90/5.17 1499 coll(c2,c1,c6). [resolve(1480,a,112,a)].
% 4.90/5.17 1503 coll(c7,c1,c6). [resolve(1481,a,112,a)].
% 4.90/5.17 1506 coll(c6,c1,c4). [resolve(1486,a,112,a)].
% 4.90/5.17 1528 coll(c6,c1,c2). [resolve(1498,a,112,a)].
% 4.90/5.17 1535 coll(c6,c6,c2). [resolve(1499,a,297,a)].
% 4.90/5.17 1544 coll(c6,c6,c7). [resolve(1503,a,297,a)].
% 4.90/5.17 1550 coll(c4,c4,c6). [resolve(1506,a,297,a)].
% 4.90/5.17 1585 coll(c2,c2,c6). [resolve(1528,a,297,a)].
% 4.90/5.17 1627 coll(c4,c6,c4). [resolve(1550,a,112,a)].
% 4.90/5.17 1670 coll(c2,c6,c2). [resolve(1585,a,112,a)].
% 4.90/5.17 2172 para(c5,c4,c5,c4). [resolve(474,a,472,a)].
% 4.90/5.17 2256 -midp(c5,A,c5) | -coll(c4,A,c4) | midp(c4,A,c4). [resolve(2172,a,156,b)].
% 4.90/5.17 3145 -coll(c6,c6,A) | cyclic(c5,A,c6,c6). [resolve(762,a,153,a)].
% 4.90/5.17 3146 eqangle(c6,c5,c6,c5,A,B,A,B). [resolve(762,a,131,a)].
% 4.90/5.17 3147 eqangle(A,B,c6,c5,A,B,c6,c5). [resolve(762,a,129,a)].
% 4.90/5.17 4433 -cyclic(c6,c6,c5,c6) | -cyclic(c6,c6,c5,c5) | cong(c6,c6,c6,c6). [resolve(1019,a,303,c)].
% 4.90/5.17 5260 eqangle(A,B,c1,c2,A,B,c1,c2). [resolve(1050,a,129,a)].
% 4.90/5.17 13235 cyclic(c5,c7,c6,c6). [resolve(3145,a,1544,a)].
% 4.90/5.17 13236 cyclic(c5,c2,c6,c6). [resolve(3145,a,1535,a)].
% 4.90/5.17 13239 cyclic(c5,c5,c6,c6). [resolve(3145,a,770,a)].
% 4.90/5.17 13240 cyclic(c5,c6,c6,c6). [resolve(3145,a,633,a)].
% 4.90/5.17 13241 cyclic(c5,c1,c6,c6). [resolve(3145,a,520,a)].
% 4.90/5.17 13246 cyclic(c7,c6,c6,c6). [resolve(13235,a,302,a)].
% 4.90/5.17 13258 cyclic(c5,c6,c2,c6). [resolve(13236,a,125,a)].
% 4.90/5.17 13284 -cyclic(c5,c5,c6,A) | cyclic(c5,c6,c6,A). [resolve(13239,a,127,a)].
% 4.90/5.17 13285 cyclic(c5,c6,c5,c6). [resolve(13239,a,125,a)].
% 4.90/5.17 13290 cyclic(c6,c5,c6,c6). [resolve(13240,a,126,a)].
% 4.90/5.17 13305 cyclic(c5,c6,c1,c6). [resolve(13241,a,125,a)].
% 4.90/5.17 13317 cyclic(c6,c7,c6,c6). [resolve(13246,a,126,a)].
% 4.90/5.17 13346 cyclic(c5,c6,c6,c2). [resolve(13258,a,124,a)].
% 4.90/5.17 13388 cyclic(c5,c6,c6,c5). [resolve(13285,a,124,a)].
% 4.90/5.17 13400 cyclic(c6,c6,c5,c6). [resolve(13290,a,125,a)].
% 4.90/5.17 13401 -cyclic(c6,c6,c5,c5) | cong(c6,c6,c6,c6). [back_unit_del(4433),unit_del(a,13400)].
% 4.90/5.17 13417 cyclic(c5,c6,c6,c1). [resolve(13305,a,124,a)].
% 4.90/5.17 13446 cyclic(c6,c6,c7,c6). [resolve(13317,a,125,a)].
% 4.90/5.17 13486 -cyclic(c5,c6,c6,A) | cyclic(c6,c6,A,c2). [resolve(13346,a,127,b)].
% 4.90/5.17 13540 cyclic(c6,c6,c5,c5). [resolve(13388,a,302,a)].
% 4.90/5.17 13546 cong(c6,c6,c6,c6). [back_unit_del(13401),unit_del(a,13540)].
% 4.90/5.17 14095 -cyclic(c5,c6,c6,A) | cyclic(c6,c6,A,c1). [resolve(13417,a,127,b)].
% 4.90/5.17 14117 -cong(c6,c7,c6,c7) | perp(c7,c6,c6,c6). [resolve(13446,a,163,c),unit_del(b,13546)].
% 4.90/5.17 14259 midp(c6,c6,c6). [resolve(13546,a,173,a),unit_del(a,633)].
% 4.90/5.17 14263 midp(c5,c6,c5). [resolve(14259,a,761,a),unit_del(a,767)].
% 4.90/5.17 14264 midp(c6,c5,c5). [resolve(14259,a,752,a)].
% 4.90/5.17 14281 midp(c4,c6,c4). [resolve(14263,a,2256,a),unit_del(a,1627)].
% 4.90/5.17 14301 midp(c6,c7,c7). [resolve(14264,a,1126,a)].
% 4.90/5.17 14314 midp(c1,c6,c1). [resolve(14281,a,1475,a),unit_del(a,526)].
% 4.90/5.17 14378 cong(c6,c7,c6,c7). [resolve(14301,a,174,a)].
% 4.90/5.17 14384 perp(c7,c6,c6,c6). [back_unit_del(14117),unit_del(a,14378)].
% 4.90/5.17 14385 midp(c2,c6,c2). [resolve(14314,a,1049,a),unit_del(a,1670)].
% 4.90/5.17 14445 para(c6,c6,c2,c2). [resolve(14385,a,310,a)].
% 4.90/5.17 15504 -perp(c6,c6,A,B) | para(c7,c6,A,B). [resolve(14384,a,120,a)].
% 4.90/5.17 15575 -perp(c2,c2,A,B) | perp(c6,c6,A,B). [resolve(14445,a,121,a)].
% 4.90/5.17 22921 -coll(c6,A,c5) | cyclic(c5,c5,c6,A). [resolve(3146,a,153,a)].
% 4.90/5.17 22954 para(A,B,A,B). [resolve(3147,a,149,a)].
% 4.90/5.17 23971 coll(A,B,B). [resolve(22954,a,172,a)].
% 4.90/5.17 23975 coll(A,A,B). [resolve(23971,a,297,a)].
% 4.90/5.17 24240 coll(c6,A,c5). [back_unit_del(772),unit_del(a,23975)].
% 4.90/5.17 24331 cyclic(c5,c5,c6,A). [back_unit_del(22921),unit_del(a,24240)].
% 4.90/5.17 24354 cyclic(c5,c6,c6,A). [back_unit_del(13284),unit_del(a,24331)].
% 4.90/5.17 24359 cyclic(c6,c6,A,c1). [back_unit_del(14095),unit_del(a,24354)].
% 4.90/5.17 24367 cyclic(c6,c6,A,c2). [back_unit_del(13486),unit_del(a,24354)].
% 4.90/5.17 25001 cyclic(c5,c6,A,B). [resolve(24331,a,127,b),unit_del(a,24331)].
% 4.90/5.17 25009 cyclic(c6,c6,A,B). [resolve(24354,a,127,b),unit_del(a,25001)].
% 4.90/5.17 25026 cyclic(c6,A,B,c1). [resolve(24359,a,127,b),unit_del(a,25009)].
% 4.90/5.17 25056 cyclic(c6,A,B,c2). [resolve(24367,a,127,b),unit_del(a,25009)].
% 4.90/5.17 25768 cyclic(c6,A,B,C). [resolve(25001,a,127,b),unit_del(a,25001)].
% 4.90/5.17 25819 cyclic(A,B,C,c1). [resolve(25026,a,127,b),unit_del(a,25768)].
% 4.90/5.17 25820 cyclic(A,B,c1,C). [resolve(25026,a,127,a),unit_del(a,25768)].
% 4.90/5.17 25883 cyclic(A,B,C,c2). [resolve(25056,a,127,b),unit_del(a,25768)].
% 4.90/5.17 26005 cong(A,c2,A,c2). [resolve(5260,a,154,d),unit_del(a,25820),unit_del(b,25883),unit_del(c,25819)].
% 4.90/5.17 26342 cong(A,c2,c2,A). [resolve(26005,a,133,a)].
% 4.90/5.17 26534 cong(c2,A,A,c2). [resolve(26342,a,134,a)].
% 4.90/5.17 26651 cong(c2,A,c2,A). [resolve(26534,a,133,a)].
% 4.90/5.17 26708 perp(c2,c2,A,B). [resolve(26651,a,162,b),unit_del(a,26651)].
% 4.90/5.17 26722 perp(c6,c6,A,B). [back_unit_del(15575),unit_del(a,26708)].
% 4.90/5.17 26754 para(c7,c6,A,B). [back_unit_del(15504),unit_del(a,26722)].
% 4.90/5.17 26755 $F. [resolve(26754,a,216,a)].
% 4.90/5.17
% 4.90/5.17 % SZS output end Refutation
% 4.90/5.17 ============================== end of proof ==========================
% 4.90/5.17
% 4.90/5.17 ============================== STATISTICS ============================
% 4.90/5.17
% 4.90/5.17 Given=8123. Generated=117534. Kept=26623. proofs=1.
% 4.90/5.17 Usable=6561. Sos=7340. Demods=0. Limbo=32, Disabled=12871. Hints=0.
% 4.90/5.17 Megabytes=15.00.
% 4.90/5.17 User_CPU=4.03, System_CPU=0.08, Wall_clock=4.
% 4.90/5.17
% 4.90/5.17 ============================== end of statistics =====================
% 4.90/5.17
% 4.90/5.17 ============================== end of search =========================
% 4.90/5.17
% 4.90/5.17 THEOREM PROVED
% 4.90/5.17 % SZS status Theorem
% 4.90/5.17
% 4.90/5.17 Exiting with 1 proof.
% 4.90/5.17
% 4.90/5.17 Process 849 exit (max_proofs) Fri Jun 17 23:17:54 2022
% 4.90/5.17 Prover9 interrupted
%------------------------------------------------------------------------------