TSTP Solution File: GEO576+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 05:57:02 EDT 2022
% Result : Theorem 10.63s 10.88s
% Output : Refutation 10.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 17:12:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.08 ============================== Prover9 ===============================
% 0.84/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.84/1.08 Process 9656 was started by sandbox on n019.cluster.edu,
% 0.84/1.08 Fri Jun 17 17:12:40 2022
% 0.84/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9503_n019.cluster.edu".
% 0.84/1.08 ============================== end of head ===========================
% 0.84/1.08
% 0.84/1.08 ============================== INPUT =================================
% 0.84/1.08
% 0.84/1.08 % Reading from file /tmp/Prover9_9503_n019.cluster.edu
% 0.84/1.08
% 0.84/1.08 set(prolog_style_variables).
% 0.84/1.08 set(auto2).
% 0.84/1.08 % set(auto2) -> set(auto).
% 0.84/1.08 % set(auto) -> set(auto_inference).
% 0.84/1.08 % set(auto) -> set(auto_setup).
% 0.84/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.84/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.84/1.08 % set(auto) -> set(auto_limits).
% 0.84/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.84/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.84/1.08 % set(auto) -> set(auto_denials).
% 0.84/1.08 % set(auto) -> set(auto_process).
% 0.84/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.84/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.84/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.84/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.84/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.84/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.84/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.84/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.84/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.84/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.84/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.84/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.84/1.08 % set(auto2) -> assign(stats, some).
% 0.84/1.08 % set(auto2) -> clear(echo_input).
% 0.84/1.08 % set(auto2) -> set(quiet).
% 0.84/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.84/1.08 % set(auto2) -> clear(print_given).
% 0.84/1.08 assign(lrs_ticks,-1).
% 0.84/1.08 assign(sos_limit,10000).
% 0.84/1.08 assign(order,kbo).
% 0.84/1.08 set(lex_order_vars).
% 0.84/1.08 clear(print_given).
% 0.84/1.08
% 0.84/1.08 % formulas(sos). % not echoed (95 formulas)
% 0.84/1.08
% 0.84/1.08 ============================== end of input ==========================
% 0.84/1.08
% 0.84/1.08 % From the command line: assign(max_seconds, 300).
% 0.84/1.08
% 0.84/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.84/1.08
% 0.84/1.08 % Formulas that are not ordinary clauses:
% 0.84/1.08 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.84/1.08 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.08 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.84/1.09 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].
% 0.84/1.09 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.84/1.09 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 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].
% 0.84/1.09 95 -(all A all B all C all D all O all D1 all P all NWPNT1 (perp(D,A,B,C) & coll(D,B,C) & circle(O,A,B,C) & circle(O,A,D1,NWPNT1) & coll(D1,A,D) & perp(A,C,D1,P) & coll(P,B,C) -> eqangle(O,A,A,D,C,A,A,P))) # label(exemplo6GDDFULL214038) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.84/1.09
% 0.84/1.09 ============================== end of process non-clausal formulas ===
% 0.84/1.09
% 0.84/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.84/1.09
% 0.84/1.09 ============================== PREDICATE ELIMINATION =================
% 0.84/1.09 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)].
% 0.84/1.09 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 100 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.84/1.09 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)].
% 0.84/1.09 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.84/1.09 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)].
% 0.84/1.09 103 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 104 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 105 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 106 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 107 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 108 -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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 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)].
% 0.84/1.09 109 circle(c5,c1,c2,c3) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 0.84/1.09 Derived: -perp(c5,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.84/1.09 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c5,c1,c1,A). [resolve(109,a,98,a)].
% 0.84/1.09 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c5,c2,c5,A). [resolve(109,a,99,a)].
% 0.84/1.09 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c5,c2,c5,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.84/1.09 Derived: -coll(c5,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.84/1.09 Derived: perp(f12(c1,c2,c3,c5),c1,c1,c5). [resolve(109,a,102,a)].
% 0.84/1.09 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | coll(f13(c1,c2,c3,A,c5,B),c1,c3). [resolve(109,a,103,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | cong(f13(c1,c2,c3,A,c5,B),B,B,c1). [resolve(109,a,104,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | coll(f14(c1,c2,c3,A,c5,B),c2,A). [resolve(109,a,105,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | cong(f14(c1,c2,c3,A,c5,B),B,B,c1). [resolve(109,a,106,a)].
% 10.63/10.88 110 circle(c5,c1,c6,c8) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.63/10.88 Derived: -perp(c5,c1,c1,A) | eqangle(c1,A,c1,c6,c8,c1,c8,c6). [resolve(110,a,96,a)].
% 10.63/10.88 Derived: -eqangle(c1,A,c1,c6,c8,c1,c8,c6) | perp(c5,c1,c1,A). [resolve(110,a,98,a)].
% 10.63/10.88 Derived: -midp(A,c6,c8) | eqangle(c1,c6,c1,c8,c5,c6,c5,A). [resolve(110,a,99,a)].
% 10.63/10.88 Derived: -coll(A,c6,c8) | -eqangle(c1,c6,c1,c8,c5,c6,c5,A) | midp(A,c6,c8). [resolve(110,a,100,a)].
% 10.63/10.88 Derived: -coll(c5,c1,c8) | perp(c1,c6,c6,c8). [resolve(110,a,101,a)].
% 10.63/10.88 Derived: perp(f12(c1,c6,c8,c5),c1,c1,c5). [resolve(110,a,102,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c6) | B = c5 | coll(f13(c1,c6,c8,A,c5,B),c1,c8). [resolve(110,a,103,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c6) | B = c5 | cong(f13(c1,c6,c8,A,c5,B),B,B,c1). [resolve(110,a,104,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c6) | B = c5 | coll(f14(c1,c6,c8,A,c5,B),c6,A). [resolve(110,a,105,a)].
% 10.63/10.88 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c6) | B = c5 | cong(f14(c1,c6,c8,A,c5,B),B,B,c1). [resolve(110,a,106,a)].
% 10.63/10.88
% 10.63/10.88 ============================== end predicate elimination =============
% 10.63/10.88
% 10.63/10.88 Auto_denials: (non-Horn, no changes).
% 10.63/10.88
% 10.63/10.88 Term ordering decisions:
% 10.63/10.88 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=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.
% 10.63/10.88
% 10.63/10.88 ============================== end of process initial clauses ========
% 10.63/10.88
% 10.63/10.88 ============================== CLAUSES FOR SEARCH ====================
% 10.63/10.88
% 10.63/10.88 ============================== end of clauses for search =============
% 10.63/10.88
% 10.63/10.88 ============================== SEARCH ================================
% 10.63/10.88
% 10.63/10.88 % Starting search at 0.04 seconds.
% 10.63/10.88
% 10.63/10.88 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.15 sec).
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=30.000, iters=3346
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=26.000, iters=3338
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=23.000, iters=3343
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=22.000, iters=3351
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=21.000, iters=3346
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=19.000, iters=3333
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=18.000, iters=3380
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=17.000, iters=3354
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=16.000, iters=3341
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=15.000, iters=3335
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=14.000, iters=3333
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=13.000, iters=3333
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8466, wt=57.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8463, wt=49.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8464, wt=48.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8528, wt=46.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8364, wt=45.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8467, wt=44.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=7918, wt=42.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=7919, wt=41.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8363, wt=40.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8607, wt=39.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=7920, wt=37.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8641, wt=36.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8645, wt=34.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=7922, wt=33.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8625, wt=32.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8468, wt=31.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8499, wt=28.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8731, wt=27.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=8712, wt=26.000
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=12.000, iters=3480
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=15010, wt=10.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=15087, wt=9.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=15132, wt=8.000
% 10.63/10.88
% 10.63/10.88 Low Water (displace): id=15383, wt=5.000
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=11.000, iters=3351
% 10.63/10.88
% 10.63/10.88 Low Water (keep): wt=10.000, iters=3383
% 10.63/10.88
% 10.63/10.88 ============================== PROOF =================================
% 10.63/10.88 % SZS status Theorem
% 10.63/10.88 % SZS output start Refutation
% 10.63/10.88
% 10.63/10.88 % Proof 1 at 9.73 (+ 0.09) seconds.
% 10.63/10.88 % Length of proof is 162.
% 10.63/10.88 % Level of proof is 39.
% 10.63/10.88 % Maximum clause weight is 29.000.
% 10.63/10.88 % Given clauses 14701.
% 10.63/10.88
% 10.63/10.88 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 10.63/10.88 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 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].
% 10.63/10.88 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 10.63/10.88 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 10.63/10.88 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].
% 10.63/10.88 95 -(all A all B all C all D all O all D1 all P all NWPNT1 (perp(D,A,B,C) & coll(D,B,C) & circle(O,A,B,C) & circle(O,A,D1,NWPNT1) & coll(D1,A,D) & perp(A,C,D1,P) & coll(P,B,C) -> eqangle(O,A,A,D,C,A,A,P))) # label(exemplo6GDDFULL214038) # label(negated_conjecture) # label(non_clause). [assumption].
% 10.63/10.88 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 10.63/10.88 100 -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)].
% 10.63/10.88 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 10.63/10.88 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 10.63/10.88 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 10.63/10.88 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 10.63/10.88 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 10.63/10.88 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 10.63/10.88 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 10.63/10.88 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 10.63/10.88 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 10.63/10.88 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 10.63/10.88 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 10.63/10.88 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 10.63/10.88 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 10.63/10.88 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 10.63/10.88 131 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(E,F,V6,V7,V8,V9,V10,V11) | eqangle(A,B,C,D,V8,V9,V10,V11) # label(ruleD22) # label(axiom). [clausify(22)].
% 10.63/10.88 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 10.63/10.88 133 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 10.63/10.88 148 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 10.63/10.88 149 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 10.63/10.88 152 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 10.63/10.88 153 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 10.63/10.88 161 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 10.63/10.88 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 10.63/10.88 170 -para(A,B,C,D) | -coll(E,A,C) | -coll(E,B,D) | eqratio(E,A,A,C,E,B,B,D) # label(ruleD65) # label(axiom). [clausify(66)].
% 10.63/10.88 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 10.63/10.88 173 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 10.63/10.88 179 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(76)].
% 10.63/10.88 210 perp(c4,c1,c2,c3) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.63/10.88 211 coll(c4,c2,c3) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.63/10.88 212 coll(c6,c1,c4) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.63/10.88 213 perp(c1,c3,c6,c7) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.63/10.88 214 coll(c7,c2,c3) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.63/10.88 215 -eqangle(c5,c1,c1,c4,c3,c1,c1,c7) # label(exemplo6GDDFULL214038) # label(negated_conjecture). [clausify(95)].
% 10.64/10.88 219 -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)].
% 10.64/10.88 282 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 10.64/10.88 287 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 10.64/10.88 288 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(153,a,b)].
% 10.64/10.88 296 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 10.64/10.88 320 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(219,d,e)].
% 10.64/10.88 357 -perp(c2,c3,A,B) | para(c4,c1,A,B). [resolve(210,a,119,a)].
% 10.64/10.88 358 perp(c2,c3,c4,c1). [resolve(210,a,118,a)].
% 10.64/10.88 366 coll(c1,c6,c4). [resolve(212,a,112,a)].
% 10.64/10.88 379 -perp(A,B,c1,c3) | para(A,B,c6,c7). [resolve(213,a,119,b)].
% 10.64/10.88 381 perp(c6,c7,c1,c3). [resolve(213,a,118,a)].
% 10.64/10.88 382 perp(c1,c3,c7,c6). [resolve(213,a,117,a)].
% 10.64/10.88 437 coll(c3,c3,c7). [resolve(282,a,214,a)].
% 10.64/10.88 439 coll(c3,c3,c4). [resolve(282,a,211,a)].
% 10.64/10.88 448 coll(c4,c4,c1). [resolve(366,a,282,a)].
% 10.64/10.88 463 coll(c7,c7,c3). [resolve(437,a,282,a)].
% 10.64/10.88 464 -coll(c3,c3,A) | coll(A,c7,c3). [resolve(437,a,113,b)].
% 10.64/10.88 488 coll(c1,c1,c4). [resolve(448,a,282,a)].
% 10.64/10.88 512 coll(c7,c3,c7). [resolve(463,a,111,a)].
% 10.64/10.88 546 -coll(c1,c1,A) | coll(c4,A,c1). [resolve(488,a,113,a)].
% 10.64/10.88 568 coll(c7,c7,c7). [resolve(512,a,282,a)].
% 10.64/10.88 598 para(c4,c1,c4,c1). [resolve(358,a,357,a)].
% 10.64/10.88 689 perp(c7,c6,c1,c3). [resolve(382,a,118,a)].
% 10.64/10.88 701 eqangle(c4,c1,A,B,c4,c1,A,B). [resolve(598,a,149,a)].
% 10.64/10.88 940 coll(c4,c7,c3). [resolve(464,a,439,a)].
% 10.64/10.88 943 coll(c7,c4,c3). [resolve(940,a,112,a)].
% 10.64/10.88 947 coll(c7,c3,c4). [resolve(943,a,111,a)].
% 10.64/10.88 956 coll(c4,c4,c7). [resolve(947,a,282,a)].
% 10.64/10.88 990 para(c7,c6,c6,c7). [resolve(379,a,689,a)].
% 10.64/10.88 991 para(c6,c7,c6,c7). [resolve(379,a,381,a)].
% 10.64/10.88 1012 para(c7,c6,c7,c6). [resolve(990,a,114,a)].
% 10.64/10.88 1022 coll(c6,c7,c7). [resolve(991,a,171,a)].
% 10.64/10.88 1023 -coll(A,c6,c6) | -coll(A,c7,c7) | eqratio(A,c6,c6,c6,A,c7,c7,c7). [resolve(991,a,170,a)].
% 10.64/10.88 1025 eqangle(c6,c7,A,B,c6,c7,A,B). [resolve(991,a,149,a)].
% 10.64/10.88 1028 coll(c7,c7,c6). [resolve(1022,a,282,a)].
% 10.64/10.88 1034 coll(c6,c6,c7). [resolve(1028,a,282,a)].
% 10.64/10.88 1041 coll(c6,c7,c6). [resolve(1034,a,111,a)].
% 10.64/10.88 1046 coll(c7,c6,c6). [resolve(1041,a,112,a)].
% 10.64/10.88 1066 -midp(A,c7,c7) | midp(A,c6,c6). [resolve(1012,a,296,b)].
% 10.64/10.88 2531 -coll(c4,c4,A) | cyclic(c1,A,c4,c4). [resolve(701,a,152,a)].
% 10.64/10.88 2532 eqangle(c4,c1,c4,c1,A,B,A,B). [resolve(701,a,130,a)].
% 10.64/10.88 2533 eqangle(A,B,c4,c1,A,B,c4,c1). [resolve(701,a,128,a)].
% 10.64/10.88 5824 eqratio(c7,c6,c6,c6,c7,c7,c7,c7). [resolve(1023,b,568,a),unit_del(a,1046)].
% 10.64/10.88 5848 midp(c7,c7,c7) | -cong(c6,c6,c6,c7). [resolve(1025,a,320,b),unit_del(a,568)].
% 10.64/10.88 5850 -cyclic(c7,c7,c6,c7) | -cyclic(c7,c7,c6,c6) | cong(c7,c7,c7,c7). [resolve(1025,a,288,c)].
% 10.64/10.88 5859 -coll(c6,c6,A) | cyclic(c7,A,c6,c6). [resolve(1025,a,152,a)].
% 10.64/10.88 9705 cyclic(c1,c7,c4,c4). [resolve(2531,a,956,a)].
% 10.64/10.88 9730 cyclic(c7,c1,c4,c4). [resolve(9705,a,125,a)].
% 10.64/10.88 9731 cyclic(c1,c4,c7,c4). [resolve(9705,a,124,a)].
% 10.64/10.88 9800 cyclic(c7,c4,c1,c4). [resolve(9730,a,124,a)].
% 10.64/10.88 9808 cyclic(c4,c1,c7,c4). [resolve(9731,a,125,a)].
% 10.64/10.88 9809 cyclic(c1,c4,c4,c7). [resolve(9731,a,123,a)].
% 10.64/10.88 9932 cyclic(c4,c7,c1,c4). [resolve(9800,a,125,a)].
% 10.64/10.88 9940 cyclic(c4,c1,c4,c7). [resolve(9808,a,123,a)].
% 10.64/10.88 9944 cyclic(c4,c4,c7,c7). [resolve(9809,a,287,a)].
% 10.64/10.88 10596 cyclic(c4,c7,c4,c1). [resolve(9932,a,123,a)].
% 10.64/10.88 10602 cyclic(c1,c4,c7,c7). [resolve(9940,a,287,a)].
% 10.64/10.88 10610 cyclic(c4,c7,c7,c7). [resolve(9944,a,287,a)].
% 10.64/10.88 12476 cyclic(c7,c4,c1,c1). [resolve(10596,a,287,a)].
% 10.64/10.88 12486 -cyclic(c1,c4,c7,A) | cyclic(c4,c7,c7,A). [resolve(10602,a,126,a)].
% 10.64/10.88 12496 -cyclic(c4,c7,c7,A) | cyclic(c7,c7,A,c7). [resolve(10610,a,126,b)].
% 10.64/10.88 14036 cyclic(c4,c7,c1,c1). [resolve(12476,a,125,a)].
% 10.64/10.88 15282 cyclic(c4,c1,c7,c1). [resolve(14036,a,124,a)].
% 10.64/10.88 16865 cyclic(c4,c1,c1,c7). [resolve(15282,a,123,a)].
% 10.64/10.88 17850 cyclic(c1,c4,c1,c7). [resolve(16865,a,125,a)].
% 10.64/10.88 18752 cyclic(c1,c1,c4,c7). [resolve(17850,a,124,a)].
% 10.64/10.88 19372 -cyclic(c1,c1,c4,A) | cyclic(c1,c4,c7,A). [resolve(18752,a,126,a)].
% 10.64/10.88 20984 -coll(c4,A,c1) | cyclic(c1,c1,c4,A). [resolve(2532,a,152,a)].
% 10.64/10.88 21013 para(A,B,A,B). [resolve(2533,a,148,a)].
% 10.64/10.88 21092 -midp(A,B,B) | midp(A,C,C). [resolve(21013,a,296,b)].
% 10.64/10.88 21093 coll(A,B,B). [resolve(21013,a,171,a)].
% 10.64/10.88 21116 coll(A,A,B). [resolve(21093,a,282,a)].
% 10.64/10.88 21199 cyclic(c7,A,c6,c6). [back_unit_del(5859),unit_del(a,21116)].
% 10.64/10.88 21321 coll(c4,A,c1). [back_unit_del(546),unit_del(a,21116)].
% 10.64/10.88 21370 -cyclic(c7,c7,c6,c7) | cong(c7,c7,c7,c7). [back_unit_del(5850),unit_del(b,21199)].
% 10.64/10.88 21406 cyclic(c1,c1,c4,A). [back_unit_del(20984),unit_del(a,21321)].
% 10.64/10.88 21438 cyclic(c1,c4,c7,A). [back_unit_del(19372),unit_del(a,21406)].
% 10.64/10.88 21454 cyclic(c4,c7,c7,A). [back_unit_del(12486),unit_del(a,21438)].
% 10.64/10.88 21504 cyclic(c7,c7,A,c7). [back_unit_del(12496),unit_del(a,21454)].
% 10.64/10.88 21558 cong(c7,c7,c7,c7). [back_unit_del(21370),unit_del(a,21504)].
% 10.64/10.88 22683 cong(c7,c6,c6,c6). [resolve(5824,a,179,a),unit_del(a,21558)].
% 10.64/10.88 22692 cong(c6,c6,c7,c6). [resolve(22683,a,133,a)].
% 10.64/10.88 22698 cong(c6,c6,c6,c7). [resolve(22692,a,132,a)].
% 10.64/10.88 22699 midp(c7,c7,c7). [back_unit_del(5848),unit_del(b,22698)].
% 10.64/10.88 22700 midp(c7,c6,c6). [resolve(22699,a,1066,a)].
% 10.64/10.88 23322 midp(c7,A,A). [resolve(21092,a,22700,a)].
% 10.64/10.88 23339 cong(c7,A,c7,A). [resolve(23322,a,173,a)].
% 10.64/10.89 23576 perp(c7,c7,A,B). [resolve(23339,a,161,b),unit_del(a,23339)].
% 10.64/10.89 24123 -perp(A,B,c7,c7) | para(A,B,C,D). [resolve(23576,a,119,b)].
% 10.64/10.89 24124 perp(A,B,c7,c7). [resolve(23576,a,118,a)].
% 10.64/10.89 24125 para(A,B,C,D). [back_unit_del(24123),unit_del(a,24124)].
% 10.64/10.89 24136 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(149),unit_del(a,24125)].
% 10.64/10.89 29933 eqangle(A,B,C,D,E,F,E,F). [resolve(24136,a,130,a)].
% 10.64/10.89 33373 -eqangle(A,B,A,B,C,D,E,F) | eqangle(V6,V7,V8,V9,C,D,E,F). [resolve(29933,a,131,a)].
% 10.64/10.89 33374 eqangle(A,B,A,B,C,D,E,F). [resolve(29933,a,129,a)].
% 10.64/10.89 33375 eqangle(A,B,C,D,E,F,V6,V7). [back_unit_del(33373),unit_del(a,33374)].
% 10.64/10.89 33376 $F. [resolve(33375,a,215,a)].
% 10.64/10.89
% 10.64/10.89 % SZS output end Refutation
% 10.64/10.89 ============================== end of proof ==========================
% 10.64/10.89
% 10.64/10.89 ============================== STATISTICS ============================
% 10.64/10.89
% 10.64/10.89 Given=14701. Generated=175457. Kept=33249. proofs=1.
% 10.64/10.89 Usable=13027. Sos=5330. Demods=0. Limbo=1, Disabled=15061. Hints=0.
% 10.64/10.89 Megabytes=16.61.
% 10.64/10.89 User_CPU=9.73, System_CPU=0.09, Wall_clock=10.
% 10.64/10.89
% 10.64/10.89 ============================== end of statistics =====================
% 10.64/10.89
% 10.64/10.89 ============================== end of search =========================
% 10.64/10.89
% 10.64/10.89 THEOREM PROVED
% 10.64/10.89 % SZS status Theorem
% 10.64/10.89
% 10.64/10.89 Exiting with 1 proof.
% 10.64/10.89
% 10.64/10.89 Process 9656 exit (max_proofs) Fri Jun 17 17:12:50 2022
% 10.64/10.89 Prover9 interrupted
%------------------------------------------------------------------------------