TSTP Solution File: GEO602+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 05:57:10 EDT 2022
% Result : Theorem 7.73s 8.00s
% Output : Refutation 7.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 20:51:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.83/1.08 ============================== Prover9 ===============================
% 0.83/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.08 Process 9125 was started by sandbox2 on n005.cluster.edu,
% 0.83/1.08 Fri Jun 17 20:51:54 2022
% 0.83/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8971_n005.cluster.edu".
% 0.83/1.08 ============================== end of head ===========================
% 0.83/1.08
% 0.83/1.08 ============================== INPUT =================================
% 0.83/1.08
% 0.83/1.08 % Reading from file /tmp/Prover9_8971_n005.cluster.edu
% 0.83/1.08
% 0.83/1.08 set(prolog_style_variables).
% 0.83/1.08 set(auto2).
% 0.83/1.08 % set(auto2) -> set(auto).
% 0.83/1.08 % set(auto) -> set(auto_inference).
% 0.83/1.08 % set(auto) -> set(auto_setup).
% 0.83/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.08 % set(auto) -> set(auto_limits).
% 0.83/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.08 % set(auto) -> set(auto_denials).
% 0.83/1.08 % set(auto) -> set(auto_process).
% 0.83/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.08 % set(auto2) -> assign(stats, some).
% 0.83/1.08 % set(auto2) -> clear(echo_input).
% 0.83/1.08 % set(auto2) -> set(quiet).
% 0.83/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.08 % set(auto2) -> clear(print_given).
% 0.83/1.08 assign(lrs_ticks,-1).
% 0.83/1.08 assign(sos_limit,10000).
% 0.83/1.08 assign(order,kbo).
% 0.83/1.08 set(lex_order_vars).
% 0.83/1.08 clear(print_given).
% 0.83/1.08
% 0.83/1.08 % formulas(sos). % not echoed (95 formulas)
% 0.83/1.08
% 0.83/1.08 ============================== end of input ==========================
% 0.83/1.08
% 0.83/1.08 % From the command line: assign(max_seconds, 300).
% 0.83/1.08
% 0.83/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.08
% 0.83/1.08 % Formulas that are not ordinary clauses:
% 0.83/1.08 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.08 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].
% 0.83/1.09 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].
% 0.83/1.09 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.09 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].
% 0.83/1.09 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.09 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 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].
% 0.83/1.09 95 -(all A all B all E all F all D all M all E1 all F1 all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 all NWPNT9 (circle(B,E,NWPNT1,NWPNT2) & circle(A,E,NWPNT3,NWPNT4) & circle(B,E,F,NWPNT5) & circle(A,E,F,NWPNT6) & coll(D,A,B) & coll(D,E,F) & circle(B,E,M,NWPNT7) & circle(A,E,E1,NWPNT8) & coll(E1,E,M) & coll(F1,F,M) & circle(A,E,F1,NWPNT9) -> perp(E1,F1,M,B))) # label(exemplo6GDDFULL618064) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.09
% 0.83/1.09 ============================== end of process non-clausal formulas ===
% 0.83/1.09
% 0.83/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.09
% 0.83/1.09 ============================== PREDICATE ELIMINATION =================
% 0.83/1.09 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)].
% 0.83/1.09 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 100 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.83/1.09 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)].
% 0.83/1.09 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.83/1.09 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)].
% 0.83/1.09 103 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 104 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 105 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 106 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 107 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 108 -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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 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)].
% 0.83/1.09 109 circle(c2,c3,c9,c10) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c9,c10,c3,c10,c9). [resolve(109,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c3,A,c3,c9,c10,c3,c10,c9) | perp(c2,c3,c3,A). [resolve(109,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c9,c10) | eqangle(c3,c9,c3,c10,c2,c9,c2,A). [resolve(109,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c9,c10) | -eqangle(c3,c9,c3,c10,c2,c9,c2,A) | midp(A,c9,c10). [resolve(109,a,100,a)].
% 0.83/1.09 Derived: -coll(c2,c3,c10) | perp(c3,c9,c9,c10). [resolve(109,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c3,c9,c10,c2),c3,c3,c2). [resolve(109,a,102,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c9) | B = c2 | coll(f13(c3,c9,c10,A,c2,B),c3,c10). [resolve(109,a,103,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c9) | B = c2 | cong(f13(c3,c9,c10,A,c2,B),B,B,c3). [resolve(109,a,104,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c9) | B = c2 | coll(f14(c3,c9,c10,A,c2,B),c9,A). [resolve(109,a,105,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c9) | B = c2 | cong(f14(c3,c9,c10,A,c2,B),B,B,c3). [resolve(109,a,106,a)].
% 0.83/1.09 110 circle(c1,c3,c11,c12) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c11,c12,c3,c12,c11). [resolve(110,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c3,A,c3,c11,c12,c3,c12,c11) | perp(c1,c3,c3,A). [resolve(110,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c11,c12) | eqangle(c3,c11,c3,c12,c1,c11,c1,A). [resolve(110,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c11,c12) | -eqangle(c3,c11,c3,c12,c1,c11,c1,A) | midp(A,c11,c12). [resolve(110,a,100,a)].
% 0.83/1.09 Derived: -coll(c1,c3,c12) | perp(c3,c11,c11,c12). [resolve(110,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c3,c11,c12,c1),c3,c3,c1). [resolve(110,a,102,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c11) | B = c1 | coll(f13(c3,c11,c12,A,c1,B),c3,c12). [resolve(110,a,103,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c11) | B = c1 | cong(f13(c3,c11,c12,A,c1,B),B,B,c3). [resolve(110,a,104,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c11) | B = c1 | coll(f14(c3,c11,c12,A,c1,B),c11,A). [resolve(110,a,105,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c11) | B = c1 | cong(f14(c3,c11,c12,A,c1,B),B,B,c3). [resolve(110,a,106,a)].
% 0.83/1.09 111 circle(c2,c3,c4,c13) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c4,c13,c3,c13,c4). [resolve(111,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c3,A,c3,c4,c13,c3,c13,c4) | perp(c2,c3,c3,A). [resolve(111,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c4,c13) | eqangle(c3,c4,c3,c13,c2,c4,c2,A). [resolve(111,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c4,c13) | -eqangle(c3,c4,c3,c13,c2,c4,c2,A) | midp(A,c4,c13). [resolve(111,a,100,a)].
% 0.83/1.09 Derived: -coll(c2,c3,c13) | perp(c3,c4,c4,c13). [resolve(111,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c3,c4,c13,c2),c3,c3,c2). [resolve(111,a,102,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c4) | B = c2 | coll(f13(c3,c4,c13,A,c2,B),c3,c13). [resolve(111,a,103,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c4) | B = c2 | cong(f13(c3,c4,c13,A,c2,B),B,B,c3). [resolve(111,a,104,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c4) | B = c2 | coll(f14(c3,c4,c13,A,c2,B),c4,A). [resolve(111,a,105,a)].
% 0.83/1.09 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c4) | B = c2 | cong(f14(c3,c4,c13,A,c2,B),B,B,c3). [resolve(111,a,106,a)].
% 0.83/1.09 112 circle(c1,c3,c4,c14) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c4,c14,c3,c14,c4). [resolve(112,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c3,A,c3,c4,c14,c3,c14,c4) | perp(c1,c3,c3,A). [resolve(112,a,98,a)].
% 0.83/1.09 Derived: -midp(A,c4,c14) | eqangle(c3,c4,c3,c14,c1,c4,c1,A). [resolve(112,a,99,a)].
% 0.83/1.09 Derived: -coll(A,c4,c14) | -eqangle(c3,c4,c3,c14,c1,c4,c1,A) | midp(A,c4,c14). [resolve(112,a,100,a)].
% 0.83/1.09 Derived: -coll(c1,c3,c14) | perp(c3,c4,c4,c14). [resolve(112,a,101,a)].
% 0.83/1.09 Derived: perp(f12(c3,c4,c14,c1),c3,c3,c1). [resolve(112,a,102,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | coll(f13(c3,c4,c14,A,c1,B),c3,c14). [resolve(112,a,103,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | cong(f13(c3,c4,c14,A,c1,B),B,B,c3). [resolve(112,a,104,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | coll(f14(c3,c4,c14,A,c1,B),c4,A). [resolve(112,a,105,a)].
% 0.83/1.09 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c4) | B = c1 | cong(f14(c3,c4,c14,A,c1,B),B,B,c3). [resolve(112,a,106,a)].
% 0.83/1.09 113 circle(c2,c3,c6,c15) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 0.83/1.09 Derived: -perp(c2,c3,c3,A) | eqangle(c3,A,c3,c6,c15,c3,c15,c6). [resolve(113,a,96,a)].
% 0.83/1.09 Derived: -eqangle(c3,A,c3,c6,c15,c3,c15,c6) | perp(c2,c3,c3,A). [resolve(113,a,98,a)].
% 1.60/1.91 Derived: -midp(A,c6,c15) | eqangle(c3,c6,c3,c15,c2,c6,c2,A). [resolve(113,a,99,a)].
% 1.60/1.91 Derived: -coll(A,c6,c15) | -eqangle(c3,c6,c3,c15,c2,c6,c2,A) | midp(A,c6,c15). [resolve(113,a,100,a)].
% 1.60/1.91 Derived: -coll(c2,c3,c15) | perp(c3,c6,c6,c15). [resolve(113,a,101,a)].
% 1.60/1.91 Derived: perp(f12(c3,c6,c15,c2),c3,c3,c2). [resolve(113,a,102,a)].
% 1.60/1.91 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | coll(f13(c3,c6,c15,A,c2,B),c3,c15). [resolve(113,a,103,a)].
% 1.60/1.91 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | cong(f13(c3,c6,c15,A,c2,B),B,B,c3). [resolve(113,a,104,a)].
% 1.60/1.91 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | coll(f14(c3,c6,c15,A,c2,B),c6,A). [resolve(113,a,105,a)].
% 1.60/1.91 Derived: -cong(c2,c3,c2,A) | -cong(B,c3,B,c6) | B = c2 | cong(f14(c3,c6,c15,A,c2,B),B,B,c3). [resolve(113,a,106,a)].
% 1.60/1.91 114 circle(c1,c3,c7,c16) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 1.60/1.91 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c7,c16,c3,c16,c7). [resolve(114,a,96,a)].
% 1.60/1.91 Derived: -eqangle(c3,A,c3,c7,c16,c3,c16,c7) | perp(c1,c3,c3,A). [resolve(114,a,98,a)].
% 1.60/1.91 Derived: -midp(A,c7,c16) | eqangle(c3,c7,c3,c16,c1,c7,c1,A). [resolve(114,a,99,a)].
% 1.60/1.91 Derived: -coll(A,c7,c16) | -eqangle(c3,c7,c3,c16,c1,c7,c1,A) | midp(A,c7,c16). [resolve(114,a,100,a)].
% 1.60/1.91 Derived: -coll(c1,c3,c16) | perp(c3,c7,c7,c16). [resolve(114,a,101,a)].
% 1.60/1.91 Derived: perp(f12(c3,c7,c16,c1),c3,c3,c1). [resolve(114,a,102,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c7) | B = c1 | coll(f13(c3,c7,c16,A,c1,B),c3,c16). [resolve(114,a,103,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c7) | B = c1 | cong(f13(c3,c7,c16,A,c1,B),B,B,c3). [resolve(114,a,104,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c7) | B = c1 | coll(f14(c3,c7,c16,A,c1,B),c7,A). [resolve(114,a,105,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c7) | B = c1 | cong(f14(c3,c7,c16,A,c1,B),B,B,c3). [resolve(114,a,106,a)].
% 1.60/1.91 115 circle(c1,c3,c8,c17) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 1.60/1.91 Derived: -perp(c1,c3,c3,A) | eqangle(c3,A,c3,c8,c17,c3,c17,c8). [resolve(115,a,96,a)].
% 1.60/1.91 Derived: -eqangle(c3,A,c3,c8,c17,c3,c17,c8) | perp(c1,c3,c3,A). [resolve(115,a,98,a)].
% 1.60/1.91 Derived: -midp(A,c8,c17) | eqangle(c3,c8,c3,c17,c1,c8,c1,A). [resolve(115,a,99,a)].
% 1.60/1.91 Derived: -coll(A,c8,c17) | -eqangle(c3,c8,c3,c17,c1,c8,c1,A) | midp(A,c8,c17). [resolve(115,a,100,a)].
% 1.60/1.91 Derived: -coll(c1,c3,c17) | perp(c3,c8,c8,c17). [resolve(115,a,101,a)].
% 1.60/1.91 Derived: perp(f12(c3,c8,c17,c1),c3,c3,c1). [resolve(115,a,102,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c8) | B = c1 | coll(f13(c3,c8,c17,A,c1,B),c3,c17). [resolve(115,a,103,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c8) | B = c1 | cong(f13(c3,c8,c17,A,c1,B),B,B,c3). [resolve(115,a,104,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c8) | B = c1 | coll(f14(c3,c8,c17,A,c1,B),c8,A). [resolve(115,a,105,a)].
% 1.60/1.91 Derived: -cong(c1,c3,c1,A) | -cong(B,c3,B,c8) | B = c1 | cong(f14(c3,c8,c17,A,c1,B),B,B,c3). [resolve(115,a,106,a)].
% 1.60/1.91
% 1.60/1.91 ============================== end predicate elimination =============
% 1.60/1.91
% 1.60/1.91 Auto_denials: (non-Horn, no changes).
% 1.60/1.91
% 1.60/1.91 Term ordering decisions:
% 1.60/1.91 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. c13=1. c14=1. c15=1. c16=1. c17=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.
% 1.60/1.91
% 1.60/1.91 ============================== end of process initial clauses ========
% 1.60/1.91
% 1.60/1.91 ============================== CLAUSES FOR SEARCH ====================
% 1.60/1.91
% 1.60/1.91 ============================== end of clauses for search =============
% 1.60/1.91
% 1.60/1.91 ============================== SEARCH ================================
% 1.60/1.91
% 1.60/1.91 % Starting search at 0.03 seconds.
% 1.60/1.91
% 1.60/1.91 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.09 sec).
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=57.000, iters=3354
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=49.000, iters=3341
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=48.000, iters=3343
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=45.000, iters=3339
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=44.000, iters=3337
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=39.000, iters=3370
% 1.60/1.91
% 1.60/1.91 Low Water (keep): wt=32.000, iters=3361
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=31.000, iters=3361
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=28.000, iters=3339
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=26.000, iters=3471
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=24.000, iters=3339
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=23.000, iters=3333
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=21.000, iters=3343
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=20.000, iters=3346
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=19.000, iters=3336
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=18.000, iters=3346
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=17.000, iters=3361
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=8515, wt=57.000
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=14117, wt=15.000
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=14118, wt=14.000
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=14507, wt=13.000
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=15.000, iters=3333
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=14.000, iters=3333
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=15505, wt=11.000
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=15717, wt=10.000
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=13.000, iters=3347
% 7.73/8.00
% 7.73/8.00 Low Water (displace): id=17220, wt=7.000
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=12.000, iters=3383
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=11.000, iters=3338
% 7.73/8.00
% 7.73/8.00 Low Water (keep): wt=10.000, iters=3335
% 7.73/8.00
% 7.73/8.00 ============================== PROOF =================================
% 7.73/8.00 % SZS status Theorem
% 7.73/8.00 % SZS output start Refutation
% 7.73/8.00
% 7.73/8.00 % Proof 1 at 6.86 (+ 0.07) seconds.
% 7.73/8.00 % Length of proof is 291.
% 7.73/8.00 % Level of proof is 37.
% 7.73/8.00 % Maximum clause weight is 29.000.
% 7.73/8.00 % Given clauses 11419.
% 7.73/8.00
% 7.73/8.00 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 7.73/8.00 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 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].
% 7.73/8.00 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 7.73/8.00 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].
% 7.73/8.00 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 7.73/8.00 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].
% 7.73/8.00 95 -(all A all B all E all F all D all M all E1 all F1 all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 all NWPNT5 all NWPNT6 all NWPNT7 all NWPNT8 all NWPNT9 (circle(B,E,NWPNT1,NWPNT2) & circle(A,E,NWPNT3,NWPNT4) & circle(B,E,F,NWPNT5) & circle(A,E,F,NWPNT6) & coll(D,A,B) & coll(D,E,F) & circle(B,E,M,NWPNT7) & circle(A,E,E1,NWPNT8) & coll(E1,E,M) & coll(F1,F,M) & circle(A,E,F1,NWPNT9) -> perp(E1,F1,M,B))) # label(exemplo6GDDFULL618064) # label(negated_conjecture) # label(non_clause). [assumption].
% 7.73/8.00 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 7.73/8.00 109 circle(c2,c3,c9,c10) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 110 circle(c1,c3,c11,c12) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 116 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 7.73/8.00 117 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 7.73/8.00 118 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 7.73/8.00 119 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 7.73/8.00 120 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 7.73/8.00 121 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 7.73/8.00 123 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 7.73/8.00 124 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 7.73/8.00 125 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 7.73/8.00 126 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 7.73/8.00 128 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 7.73/8.00 129 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 7.73/8.00 130 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 7.73/8.00 131 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 7.73/8.00 133 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 7.73/8.00 135 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 7.73/8.00 137 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 7.73/8.00 138 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 7.73/8.00 153 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 7.73/8.00 154 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 7.73/8.00 157 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 7.73/8.00 158 -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)].
% 7.73/8.00 159 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 7.73/8.00 160 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 7.73/8.00 163 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 7.73/8.00 165 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 7.73/8.00 166 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 7.73/8.00 167 -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)].
% 7.73/8.00 174 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 7.73/8.00 176 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 7.73/8.00 177 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 7.73/8.00 178 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 7.73/8.00 215 coll(c5,c1,c2) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 216 coll(c5,c3,c4) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 217 coll(c7,c3,c6) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 218 coll(c8,c4,c6) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 219 -perp(c7,c8,c6,c2) # label(exemplo6GDDFULL618064) # label(negated_conjecture). [clausify(95)].
% 7.73/8.00 263 perp(f12(c3,c9,c10,c2),c3,c3,c2). [resolve(109,a,102,a)].
% 7.73/8.00 277 perp(f12(c3,c11,c12,c1),c3,c3,c1). [resolve(110,a,102,a)].
% 7.73/8.00 356 -coll(A,B,C) | coll(C,C,A). [factor(118,a,b)].
% 7.73/8.00 361 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(131,a,b)].
% 7.73/8.00 362 -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(158,a,b)].
% 7.73/8.00 364 -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(158,b,c)].
% 7.73/8.00 365 -midp(A,B,C) | para(A,A,C,C). [factor(159,a,b)].
% 7.73/8.00 366 -cong(A,B,C,B) | perp(A,C,B,B). [factor(166,a,b)].
% 7.73/8.00 370 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(174,b,c)].
% 7.73/8.00 421 coll(c1,c5,c2). [resolve(215,a,117,a)].
% 7.73/8.00 422 coll(c5,c2,c1). [resolve(215,a,116,a)].
% 7.73/8.00 426 coll(c5,c4,c3). [resolve(216,a,116,a)].
% 7.73/8.00 427 -coll(c7,c3,A) | coll(A,c6,c7). [resolve(217,a,118,b)].
% 7.73/8.00 429 coll(c3,c7,c6). [resolve(217,a,117,a)].
% 7.73/8.00 430 coll(c7,c6,c3). [resolve(217,a,116,a)].
% 7.73/8.00 455 -perp(A,B,f12(c3,c9,c10,c2),c3) | para(A,B,c3,c2). [resolve(263,a,124,b)].
% 7.73/8.00 457 perp(c3,c2,f12(c3,c9,c10,c2),c3). [resolve(263,a,123,a)].
% 7.73/8.00 480 -perp(A,B,f12(c3,c11,c12,c1),c3) | para(A,B,c3,c1). [resolve(277,a,124,b)].
% 7.73/8.00 482 perp(c3,c1,f12(c3,c11,c12,c1),c3). [resolve(277,a,123,a)].
% 7.73/8.00 610 coll(c6,c6,c8). [resolve(356,a,218,a)].
% 7.73/8.00 613 coll(c2,c2,c5). [resolve(356,a,215,a)].
% 7.73/8.00 615 -coll(c1,c5,A) | coll(A,c2,c1). [resolve(421,a,118,b)].
% 7.73/8.00 616 -coll(c1,c5,A) | coll(c2,A,c1). [resolve(421,a,118,a)].
% 7.73/8.00 620 -coll(c5,c2,A) | coll(c1,A,c5). [resolve(422,a,118,a)].
% 7.73/8.00 626 coll(c3,c3,c5). [resolve(426,a,356,a)].
% 7.73/8.00 630 coll(c6,c6,c3). [resolve(429,a,356,a)].
% 7.73/8.00 634 coll(c3,c3,c7). [resolve(430,a,356,a)].
% 7.73/8.00 647 -coll(c6,c6,A) | coll(A,c8,c6). [resolve(610,a,118,b)].
% 7.73/8.00 659 -coll(c2,c2,A) | coll(A,c5,c2). [resolve(613,a,118,b)].
% 7.73/8.00 685 coll(c3,c5,c3). [resolve(626,a,116,a)].
% 7.73/8.00 696 -coll(c3,c3,A) | coll(A,c7,c3). [resolve(634,a,118,b)].
% 7.73/8.00 773 coll(c3,c3,c3). [resolve(685,a,356,a)].
% 7.73/8.00 912 coll(c3,c8,c6). [resolve(647,a,630,a)].
% 7.73/8.00 916 coll(c8,c3,c6). [resolve(912,a,117,a)].
% 7.73/8.00 924 coll(c8,c6,c3). [resolve(916,a,116,a)].
% 7.73/8.00 926 para(c3,c2,c3,c2). [resolve(457,a,455,a)].
% 7.73/8.00 956 coll(c3,c3,c8). [resolve(924,a,356,a)].
% 7.73/8.00 1168 -midp(A,c3,c3) | midp(A,c2,c2). [resolve(926,a,370,b)].
% 7.73/8.00 1175 coll(c3,c2,c2). [resolve(926,a,176,a)].
% 7.73/8.00 1178 eqangle(c3,c2,A,B,c3,c2,A,B). [resolve(926,a,154,a)].
% 7.73/8.00 1179 para(c3,c2,c2,c3). [resolve(926,a,119,a)].
% 7.73/8.00 1180 coll(c2,c2,c3). [resolve(1175,a,356,a)].
% 7.73/8.00 1188 coll(c3,c3,c2). [resolve(1180,a,356,a)].
% 7.73/8.00 1190 -coll(c2,c2,A) | coll(c3,A,c2). [resolve(1180,a,118,a)].
% 7.73/8.00 1197 coll(c3,c2,c3). [resolve(1188,a,116,a)].
% 7.73/8.00 1200 coll(c2,c3,c3). [resolve(1197,a,117,a)].
% 7.73/8.00 1220 para(c2,c3,c3,c2). [resolve(1179,a,120,a)].
% 7.73/8.00 1232 -midp(c2,A,c3) | -coll(c3,A,c2) | midp(c3,A,c2). [resolve(1220,a,160,b)].
% 7.73/8.00 1236 para(c2,c3,c2,c3). [resolve(1220,a,119,a)].
% 7.73/8.00 1248 eqangle(c2,c3,A,B,c2,c3,A,B). [resolve(1236,a,154,a)].
% 7.73/8.00 1340 para(c3,c1,c3,c1). [resolve(482,a,480,a)].
% 7.73/8.00 1511 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(1340,a,370,b)].
% 7.73/8.00 1518 coll(c3,c1,c1). [resolve(1340,a,176,a)].
% 7.73/8.00 1521 eqangle(c3,c1,A,B,c3,c1,A,B). [resolve(1340,a,154,a)].
% 7.73/8.00 1522 para(c3,c1,c1,c3). [resolve(1340,a,119,a)].
% 7.73/8.00 1523 coll(c1,c1,c3). [resolve(1518,a,356,a)].
% 7.73/8.00 1531 coll(c3,c3,c1). [resolve(1523,a,356,a)].
% 7.73/8.00 1540 coll(c3,c1,c3). [resolve(1531,a,116,a)].
% 7.73/8.00 1543 coll(c1,c3,c3). [resolve(1540,a,117,a)].
% 7.73/8.00 1563 para(c1,c3,c3,c1). [resolve(1522,a,120,a)].
% 7.73/8.00 1575 -midp(c1,A,c3) | -coll(c3,A,c1) | midp(c3,A,c1). [resolve(1563,a,160,b)].
% 7.73/8.00 1579 para(c1,c3,c1,c3). [resolve(1563,a,119,a)].
% 7.73/8.00 1591 eqangle(c1,c3,A,B,c1,c3,A,B). [resolve(1579,a,154,a)].
% 7.73/8.00 1592 coll(c3,c5,c2). [resolve(659,a,1180,a)].
% 7.73/8.00 1597 coll(c5,c3,c2). [resolve(1592,a,117,a)].
% 7.73/8.00 1613 coll(c5,c2,c3). [resolve(1597,a,116,a)].
% 7.73/8.00 1639 coll(c1,c3,c5). [resolve(1613,a,620,a)].
% 7.73/8.00 1678 coll(c1,c5,c3). [resolve(1639,a,116,a)].
% 7.73/8.00 1704 coll(c2,c3,c1). [resolve(1678,a,616,a)].
% 7.73/8.00 1705 coll(c3,c2,c1). [resolve(1678,a,615,a)].
% 7.73/8.00 1741 coll(c3,c1,c2). [resolve(1705,a,116,a)].
% 7.73/8.00 1940 coll(c2,c7,c3). [resolve(696,a,1188,a)].
% 7.73/8.00 1955 coll(c7,c2,c3). [resolve(1940,a,117,a)].
% 7.73/8.00 1970 coll(c7,c3,c2). [resolve(1955,a,116,a)].
% 7.73/8.00 1991 coll(c2,c6,c7). [resolve(1970,a,427,a)].
% 7.73/8.00 2036 coll(c2,c7,c6). [resolve(1991,a,116,a)].
% 7.73/8.00 2104 coll(c6,c6,c2). [resolve(2036,a,356,a)].
% 7.73/8.00 2199 coll(c2,c8,c6). [resolve(2104,a,647,a)].
% 7.73/8.00 2352 coll(c2,c6,c8). [resolve(2199,a,116,a)].
% 7.73/8.00 2516 coll(c8,c8,c2). [resolve(2352,a,356,a)].
% 7.73/8.00 2627 coll(c8,c2,c8). [resolve(2516,a,116,a)].
% 7.73/8.00 2699 coll(c2,c8,c8). [resolve(2627,a,117,a)].
% 7.73/8.00 3923 -cyclic(c2,c3,c3,c2) | -cyclic(c2,c3,c3,c3) | cong(c2,c3,c2,c3). [resolve(1178,a,364,c)].
% 7.73/8.00 3932 -cyclic(c2,A,c3,c2) | -cyclic(c2,A,c3,A) | -cyclic(c2,A,c3,c3) | cong(c2,A,c2,A). [resolve(1178,a,158,d)].
% 7.73/8.00 3933 -coll(c3,c3,A) | cyclic(c2,A,c3,c3). [resolve(1178,a,157,a)].
% 7.73/8.00 3934 eqangle(c3,c2,c3,c2,A,B,A,B). [resolve(1178,a,135,a)].
% 7.73/8.00 3935 eqangle(A,B,c3,c2,A,B,c3,c2). [resolve(1178,a,133,a)].
% 7.73/8.00 4223 -coll(c2,c2,A) | cyclic(c3,A,c2,c2). [resolve(1248,a,157,a)].
% 7.73/8.00 4225 eqangle(A,B,c2,c3,A,B,c2,c3). [resolve(1248,a,133,a)].
% 7.73/8.00 4664 -cyclic(c1,c3,c3,c1) | -cyclic(c1,c3,c3,c3) | cong(c1,c3,c1,c3). [resolve(1521,a,364,c)].
% 7.73/8.00 4674 -coll(c3,c3,A) | cyclic(c1,A,c3,c3). [resolve(1521,a,157,a)].
% 7.73/8.00 5838 -cyclic(c3,c3,c1,c3) | -cyclic(c3,c3,c1,c1) | cong(c3,c3,c3,c3). [resolve(1591,a,362,c)].
% 7.73/8.00 8864 cyclic(c2,c1,c3,c3). [resolve(3933,a,1531,a)].
% 7.73/8.00 8865 cyclic(c2,c2,c3,c3). [resolve(3933,a,1188,a)].
% 7.73/8.00 8866 cyclic(c2,c8,c3,c3). [resolve(3933,a,956,a)].
% 7.73/8.00 8867 cyclic(c2,c3,c3,c3). [resolve(3933,a,773,a)].
% 7.73/8.00 8873 -cyclic(c2,c3,c3,c2) | cong(c2,c3,c2,c3). [back_unit_del(3923),unit_del(b,8867)].
% 7.73/8.00 8885 cyclic(c1,c3,c3,c3). [resolve(8864,a,361,a)].
% 7.73/8.00 8901 cyclic(c1,c2,c3,c3). [resolve(8864,a,130,a)].
% 7.73/8.00 8902 cyclic(c2,c3,c1,c3). [resolve(8864,a,129,a)].
% 7.73/8.00 8903 -cyclic(c1,c3,c3,c1) | cong(c1,c3,c1,c3). [back_unit_del(4664),unit_del(b,8885)].
% 7.73/8.00 8920 cyclic(c2,c3,c2,c3). [resolve(8865,a,129,a)].
% 7.73/8.00 8938 cyclic(c8,c2,c3,c3). [resolve(8866,a,130,a)].
% 7.73/8.00 8939 cyclic(c2,c3,c8,c3). [resolve(8866,a,129,a)].
% 7.73/8.00 9062 cyclic(c3,c1,c3,c3). [resolve(8885,a,130,a)].
% 7.73/8.00 9079 cyclic(c1,c3,c2,c3). [resolve(8901,a,129,a)].
% 7.73/8.00 9094 -cyclic(c2,c3,c1,A) | cyclic(c3,c1,A,c3). [resolve(8902,a,131,b)].
% 7.73/8.00 9096 cyclic(c3,c2,c1,c3). [resolve(8902,a,130,a)].
% 7.73/8.00 9097 cyclic(c2,c3,c3,c1). [resolve(8902,a,128,a)].
% 7.73/8.00 9116 cyclic(c3,c2,c2,c3). [resolve(8920,a,130,a)].
% 7.73/8.00 9117 cyclic(c2,c3,c3,c2). [resolve(8920,a,128,a)].
% 7.73/8.00 9119 cong(c2,c3,c2,c3). [back_unit_del(8873),unit_del(a,9117)].
% 7.73/8.00 9163 cyclic(c8,c3,c2,c3). [resolve(8938,a,129,a)].
% 7.73/8.00 9178 cyclic(c3,c2,c8,c3). [resolve(8939,a,130,a)].
% 7.73/8.00 9400 cyclic(c3,c3,c1,c3). [resolve(9062,a,129,a)].
% 7.73/8.00 9401 -cyclic(c3,c3,c1,c1) | cong(c3,c3,c3,c3). [back_unit_del(5838),unit_del(a,9400)].
% 7.73/8.00 9414 cyclic(c3,c1,c2,c3). [resolve(9079,a,130,a)].
% 7.73/8.00 9429 cyclic(c3,c2,c3,c1). [resolve(9096,a,128,a)].
% 7.73/8.00 9436 cyclic(c3,c3,c1,c1). [resolve(9097,a,361,a)].
% 7.73/8.00 9449 cong(c3,c3,c3,c3). [back_unit_del(9401),unit_del(a,9436)].
% 7.73/8.00 9462 cyclic(c3,c2,c3,c2). [resolve(9116,a,128,a)].
% 7.73/8.00 9573 midp(c2,c3,c3). [resolve(9119,a,177,a),unit_del(a,1200)].
% 7.73/8.00 9602 para(c2,c2,c3,c3). [resolve(9573,a,365,a)].
% 7.73/8.00 9864 cyclic(c3,c8,c2,c3). [resolve(9163,a,130,a)].
% 7.73/8.00 9878 cyclic(c3,c2,c3,c8). [resolve(9178,a,128,a)].
% 7.73/8.00 10113 cyclic(c3,c1,c3,c2). [resolve(9414,a,128,a)].
% 7.73/8.00 10136 cyclic(c3,c3,c2,c1). [resolve(9429,a,129,a)].
% 7.73/8.00 10147 cyclic(c3,c1,c3,c1). [resolve(9436,a,129,a)].
% 7.73/8.00 10207 midp(c3,c3,c3). [resolve(9449,a,177,a),unit_del(a,773)].
% 7.73/8.00 10216 midp(c3,c1,c1). [resolve(10207,a,1511,a)].
% 7.73/8.00 10218 midp(c3,c2,c2). [resolve(10207,a,1168,a)].
% 7.73/8.00 10292 cong(c3,c1,c3,c1). [resolve(10216,a,178,a)].
% 7.73/8.00 10350 cong(c3,c2,c3,c2). [resolve(10218,a,178,a)].
% 7.73/8.00 10435 cyclic(c2,c3,c2,c2). [resolve(9462,a,361,a)].
% 7.73/8.00 10508 -perp(c3,c3,A,B) | perp(c2,c2,A,B). [resolve(9602,a,125,a)].
% 7.73/8.00 11086 cyclic(c3,c8,c3,c2). [resolve(9864,a,128,a)].
% 7.73/8.00 11095 cyclic(c2,c3,c8,c8). [resolve(9878,a,361,a)].
% 7.73/8.00 11313 cyclic(c1,c3,c2,c2). [resolve(10113,a,361,a)].
% 7.73/8.00 11337 perp(c2,c3,c3,c1). [resolve(10136,a,167,c),unit_del(a,10350),unit_del(b,10292)].
% 7.73/8.00 11357 cyclic(c1,c3,c3,c1). [resolve(10147,a,130,a)].
% 7.73/8.00 11359 cong(c1,c3,c1,c3). [back_unit_del(8903),unit_del(a,11357)].
% 7.73/8.00 11754 cyclic(c2,c2,c3,c2). [resolve(10435,a,129,a)].
% 7.73/8.00 11975 cyclic(c8,c3,c2,c2). [resolve(11086,a,361,a)].
% 7.73/8.00 11989 cyclic(c2,c8,c3,c8). [resolve(11095,a,129,a)].
% 7.73/8.00 12239 cyclic(c3,c1,c2,c2). [resolve(11313,a,130,a)].
% 7.73/8.00 12293 -midp(c3,c3,c1) | cong(c2,c3,c2,c1). [resolve(11337,a,165,b)].
% 7.73/8.00 12375 midp(c1,c3,c3). [resolve(11359,a,177,a),unit_del(a,1543)].
% 7.73/8.00 12385 midp(c3,c3,c1). [resolve(12375,a,1575,a),unit_del(a,1531)].
% 7.73/8.00 12406 cong(c2,c3,c2,c1). [back_unit_del(12293),unit_del(a,12385)].
% 7.73/8.00 12710 -cyclic(c2,c2,c3,A) | cyclic(c2,c3,A,c2). [resolve(11754,a,131,b)].
% 7.73/8.00 12824 cyclic(c8,c2,c3,c2). [resolve(11975,a,129,a)].
% 7.73/8.00 13047 cyclic(c3,c2,c1,c2). [resolve(12239,a,129,a)].
% 7.73/8.00 13218 midp(c2,c3,c1). [resolve(12406,a,177,a),unit_del(a,1704)].
% 7.73/8.00 13243 midp(c2,c1,c3). [resolve(13218,a,126,a)].
% 7.73/8.00 13244 midp(c3,c1,c2). [resolve(13243,a,1232,a),unit_del(a,1741)].
% 7.73/8.00 13283 midp(c3,c2,c1). [resolve(13244,a,126,a)].
% 7.73/8.00 13300 cong(c3,c2,c3,c1). [resolve(13283,a,178,a)].
% 7.73/8.00 13537 cyclic(c2,c8,c3,c2). [resolve(12824,a,130,a)].
% 7.73/8.00 13778 cyclic(c2,c3,c1,c2). [resolve(13047,a,130,a)].
% 7.73/8.00 13933 cong(c3,c2,c1,c3). [resolve(13300,a,137,a)].
% 7.73/8.00 14292 cyclic(c2,c3,c2,c1). [resolve(13778,a,128,a)].
% 7.73/8.00 14337 cong(c1,c3,c3,c2). [resolve(13933,a,138,a)].
% 7.73/8.00 14590 cyclic(c2,c2,c3,c1). [resolve(14292,a,129,a)].
% 7.73/8.00 14672 cong(c1,c3,c2,c3). [resolve(14337,a,137,a)].
% 7.73/8.00 14869 -cyclic(c2,c2,c3,A) | cyclic(c2,c3,c1,A). [resolve(14590,a,131,a)].
% 7.73/8.00 15020 perp(c1,c2,c3,c3). [resolve(14672,a,366,a)].
% 7.73/8.00 15236 -perp(c3,c3,A,B) | para(c1,c2,A,B). [resolve(15020,a,124,a)].
% 7.73/8.00 15237 perp(c3,c3,c1,c2). [resolve(15020,a,123,a)].
% 7.73/8.00 15295 -perp(A,B,c3,c3) | para(A,B,c1,c2). [resolve(15237,a,124,b)].
% 7.73/8.00 24882 cong(c2,c8,c2,c8). [resolve(3932,b,11989,a),unit_del(a,13537),unit_del(b,8866)].
% 7.73/8.00 24950 -coll(c3,A,c2) | cyclic(c2,c2,c3,A). [resolve(3934,a,157,a)].
% 7.73/8.00 25002 para(A,B,A,B). [resolve(3935,a,153,a)].
% 7.73/8.00 25014 midp(c2,c8,c8). [resolve(24882,a,177,a),unit_del(a,2699)].
% 7.73/8.00 25021 para(c2,c2,c8,c8). [resolve(25014,a,365,a)].
% 7.73/8.00 25306 -midp(A,B,B) | midp(A,C,C). [resolve(25002,a,370,b)].
% 7.73/8.00 25307 coll(A,B,B). [resolve(25002,a,176,a)].
% 7.73/8.01 25397 coll(A,A,B). [resolve(25307,a,356,a)].
% 7.73/8.01 25563 cyclic(c1,A,c3,c3). [back_unit_del(4674),unit_del(a,25397)].
% 7.73/8.01 25564 cyclic(c3,A,c2,c2). [back_unit_del(4223),unit_del(a,25397)].
% 7.73/8.01 25615 coll(c3,A,c2). [back_unit_del(1190),unit_del(a,25397)].
% 7.73/8.01 25782 cyclic(c2,c2,c3,A). [back_unit_del(24950),unit_del(a,25615)].
% 7.73/8.01 25814 cyclic(c2,c3,c1,A). [back_unit_del(14869),unit_del(a,25782)].
% 7.73/8.01 25816 cyclic(c2,c3,A,c2). [back_unit_del(12710),unit_del(a,25782)].
% 7.73/8.01 25854 cyclic(c3,c1,A,c3). [back_unit_del(9094),unit_del(a,25814)].
% 7.73/8.01 26047 coll(A,B,C). [resolve(25397,a,118,b),unit_del(a,25397)].
% 7.73/8.01 26107 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E). [back_unit_del(160),unit_del(c,26047)].
% 7.73/8.01 26154 para(c8,c8,c2,c2). [resolve(25021,a,120,a)].
% 7.73/8.01 26556 -cyclic(c1,A,c3,B) | cyclic(A,c3,B,c3). [resolve(25563,a,131,b)].
% 7.73/8.01 26562 cyclic(A,c3,c2,c2). [resolve(25564,a,130,a)].
% 7.73/8.01 26569 cyclic(c2,c3,A,B). [resolve(25782,a,131,b),unit_del(a,25782)].
% 7.73/8.01 26627 cyclic(c3,c1,A,B). [resolve(25814,a,131,b),unit_del(a,26569)].
% 7.73/8.01 26637 cyclic(c3,A,B,c2). [resolve(25816,a,131,b),unit_del(a,26569)].
% 7.73/8.01 26802 cyclic(c1,A,c3,B). [resolve(25854,a,131,a),unit_del(a,26627)].
% 7.73/8.01 26804 cyclic(A,c3,B,c3). [back_unit_del(26556),unit_del(a,26802)].
% 7.73/8.01 26869 -cyclic(A,c3,c2,A) | cong(A,c3,A,c3). [resolve(4225,a,158,d),unit_del(b,26804),unit_del(c,26562)].
% 7.73/8.01 27166 -perp(c2,c2,A,B) | perp(c8,c8,A,B). [resolve(26154,a,125,a)].
% 7.73/8.01 27300 cyclic(c3,A,B,C). [resolve(26569,a,131,b),unit_del(a,26569)].
% 7.73/8.01 27423 cyclic(A,B,c2,C). [resolve(26637,a,131,a),unit_del(a,27300)].
% 7.73/8.01 27424 cong(A,c3,A,c3). [back_unit_del(26869),unit_del(a,27423)].
% 7.73/8.01 27762 cong(A,c3,c3,A). [resolve(27424,a,137,a)].
% 7.73/8.01 28173 cong(c3,A,A,c3). [resolve(27762,a,138,a)].
% 7.73/8.01 28394 cong(c3,A,c3,A). [resolve(28173,a,137,a)].
% 7.73/8.01 28563 perp(c3,c3,A,B). [resolve(28394,a,166,b),unit_del(a,28394)].
% 7.73/8.01 28565 para(c1,c2,A,B). [back_unit_del(15236),unit_del(a,28563)].
% 7.73/8.01 28573 perp(c2,c2,A,B). [back_unit_del(10508),unit_del(a,28563)].
% 7.73/8.01 28647 perp(c8,c8,A,B). [back_unit_del(27166),unit_del(a,28573)].
% 7.73/8.01 28971 perp(A,B,c3,c3). [resolve(28563,a,123,a)].
% 7.73/8.01 28977 para(A,B,c1,c2). [back_unit_del(15295),unit_del(a,28971)].
% 7.73/8.01 29013 para(A,B,C,D). [resolve(28565,a,121,b),unit_del(a,28977)].
% 7.73/8.01 29014 -midp(A,B,C) | midp(D,B,E). [back_unit_del(26107),unit_del(b,29013)].
% 7.73/8.01 29036 perp(A,B,c8,c8). [resolve(28647,a,123,a)].
% 7.73/8.01 29201 -midp(A,B,c8) | cong(B,A,c8,A). [resolve(29036,a,163,a)].
% 7.73/8.01 29586 midp(c3,A,A). [resolve(25306,a,10218,a)].
% 7.73/8.01 29940 midp(A,B,C). [resolve(29014,a,29586,a)].
% 7.73/8.01 29989 cong(A,B,c8,B). [back_unit_del(29201),unit_del(a,29940)].
% 7.73/8.01 30390 perp(A,c8,B,C). [resolve(29989,a,166,b),unit_del(a,29989)].
% 7.73/8.01 30391 $F. [resolve(30390,a,219,a)].
% 7.73/8.01
% 7.73/8.01 % SZS output end Refutation
% 7.73/8.01 ============================== end of proof ==========================
% 7.73/8.01
% 7.73/8.01 ============================== STATISTICS ============================
% 7.73/8.01
% 7.73/8.01 Given=11419. Generated=135286. Kept=30239. proofs=1.
% 7.73/8.01 Usable=9764. Sos=4696. Demods=0. Limbo=1, Disabled=16002. Hints=0.
% 7.73/8.01 Megabytes=19.95.
% 7.73/8.01 User_CPU=6.86, System_CPU=0.07, Wall_clock=7.
% 7.73/8.01
% 7.73/8.01 ============================== end of statistics =====================
% 7.73/8.01
% 7.73/8.01 ============================== end of search =========================
% 7.73/8.01
% 7.73/8.01 THEOREM PROVED
% 7.73/8.01 % SZS status Theorem
% 7.73/8.01
% 7.73/8.01 Exiting with 1 proof.
% 7.73/8.01
% 7.73/8.01 Process 9125 exit (max_proofs) Fri Jun 17 20:52:01 2022
% 7.73/8.01 Prover9 interrupted
%------------------------------------------------------------------------------