TSTP Solution File: GEO630+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 05:57:19 EDT 2022
% Result : Theorem 7.93s 8.26s
% Output : Refutation 7.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 17:13:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.12 ============================== Prover9 ===============================
% 0.46/1.12 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.12 Process 32197 was started by sandbox on n026.cluster.edu,
% 0.46/1.12 Sat Jun 18 17:13:55 2022
% 0.46/1.12 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32043_n026.cluster.edu".
% 0.46/1.12 ============================== end of head ===========================
% 0.46/1.12
% 0.46/1.12 ============================== INPUT =================================
% 0.46/1.12
% 0.46/1.12 % Reading from file /tmp/Prover9_32043_n026.cluster.edu
% 0.46/1.12
% 0.46/1.12 set(prolog_style_variables).
% 0.46/1.12 set(auto2).
% 0.46/1.12 % set(auto2) -> set(auto).
% 0.46/1.12 % set(auto) -> set(auto_inference).
% 0.46/1.12 % set(auto) -> set(auto_setup).
% 0.46/1.12 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.12 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.12 % set(auto) -> set(auto_limits).
% 0.46/1.12 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.12 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.12 % set(auto) -> set(auto_denials).
% 0.46/1.12 % set(auto) -> set(auto_process).
% 0.46/1.12 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.12 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.12 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.12 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.12 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.12 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.12 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.12 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.12 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.12 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.12 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.12 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.12 % set(auto2) -> assign(stats, some).
% 0.46/1.12 % set(auto2) -> clear(echo_input).
% 0.46/1.12 % set(auto2) -> set(quiet).
% 0.46/1.12 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.12 % set(auto2) -> clear(print_given).
% 0.46/1.12 assign(lrs_ticks,-1).
% 0.46/1.12 assign(sos_limit,10000).
% 0.46/1.12 assign(order,kbo).
% 0.46/1.12 set(lex_order_vars).
% 0.46/1.12 clear(print_given).
% 0.46/1.12
% 0.46/1.12 % formulas(sos). % not echoed (95 formulas)
% 0.46/1.12
% 0.46/1.12 ============================== end of input ==========================
% 0.46/1.12
% 0.46/1.12 % From the command line: assign(max_seconds, 300).
% 0.46/1.12
% 0.46/1.12 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.12
% 0.46/1.12 % Formulas that are not ordinary clauses:
% 0.46/1.12 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.12 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.12 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.13 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].
% 0.46/1.13 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.13 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 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].
% 0.46/1.13 95 -(all A all B all C all O all D1 all D all F all G all G1 all F1 all NWPNT1 all NWPNT2 (circle(O,A,B,C) & circle(O,A,D1,NWPNT1) & circle(O,D1,D,NWPNT2) & coll(D,D1,O) & perp(F,D,A,C) & coll(F,A,C) & perp(G,D,A,B) & coll(G,A,B) & perp(G1,D1,A,B) & coll(G1,A,B) & perp(F1,D1,A,C) & coll(F1,A,C) -> perp(G1,F1,G,F))) # label(exemplo6GDDFULL8110993) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.46/1.13
% 0.46/1.13 ============================== end of process non-clausal formulas ===
% 0.46/1.13
% 0.46/1.13 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.13
% 0.46/1.13 ============================== PREDICATE ELIMINATION =================
% 0.46/1.13 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)].
% 0.46/1.13 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 100 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.46/1.13 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)].
% 0.46/1.13 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.46/1.13 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)].
% 0.46/1.13 103 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 104 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 105 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 106 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 107 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 108 -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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 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)].
% 0.46/1.13 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 0.46/1.13 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.46/1.13 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.46/1.13 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.46/1.13 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.46/1.13 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.46/1.13 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f13(c1,c2,c3,A,c4,B),c1,c3). [resolve(109,a,103,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f13(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,104,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f14(c1,c2,c3,A,c4,B),c2,A). [resolve(109,a,105,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f14(c1,c2,c3,A,c4,B),B,B,c1). [resolve(109,a,106,a)].
% 6.72/7.01 110 circle(c4,c1,c5,c11) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 6.72/7.01 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c11,c1,c11,c5). [resolve(110,a,96,a)].
% 6.72/7.01 Derived: -eqangle(c1,A,c1,c5,c11,c1,c11,c5) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 6.72/7.01 Derived: -midp(A,c5,c11) | eqangle(c1,c5,c1,c11,c4,c5,c4,A). [resolve(110,a,99,a)].
% 6.72/7.01 Derived: -coll(A,c5,c11) | -eqangle(c1,c5,c1,c11,c4,c5,c4,A) | midp(A,c5,c11). [resolve(110,a,100,a)].
% 6.72/7.01 Derived: -coll(c4,c1,c11) | perp(c1,c5,c5,c11). [resolve(110,a,101,a)].
% 6.72/7.01 Derived: perp(f12(c1,c5,c11,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f13(c1,c5,c11,A,c4,B),c1,c11). [resolve(110,a,103,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f13(c1,c5,c11,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f14(c1,c5,c11,A,c4,B),c5,A). [resolve(110,a,105,a)].
% 6.72/7.01 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f14(c1,c5,c11,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 6.72/7.01 111 circle(c4,c5,c6,c12) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 6.72/7.01 Derived: -perp(c4,c5,c5,A) | eqangle(c5,A,c5,c6,c12,c5,c12,c6). [resolve(111,a,96,a)].
% 6.72/7.01 Derived: -eqangle(c5,A,c5,c6,c12,c5,c12,c6) | perp(c4,c5,c5,A). [resolve(111,a,98,a)].
% 6.72/7.01 Derived: -midp(A,c6,c12) | eqangle(c5,c6,c5,c12,c4,c6,c4,A). [resolve(111,a,99,a)].
% 6.72/7.01 Derived: -coll(A,c6,c12) | -eqangle(c5,c6,c5,c12,c4,c6,c4,A) | midp(A,c6,c12). [resolve(111,a,100,a)].
% 6.72/7.01 Derived: -coll(c4,c5,c12) | perp(c5,c6,c6,c12). [resolve(111,a,101,a)].
% 6.72/7.01 Derived: perp(f12(c5,c6,c12,c4),c5,c5,c4). [resolve(111,a,102,a)].
% 6.72/7.01 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | coll(f13(c5,c6,c12,A,c4,B),c5,c12). [resolve(111,a,103,a)].
% 6.72/7.01 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | cong(f13(c5,c6,c12,A,c4,B),B,B,c5). [resolve(111,a,104,a)].
% 6.72/7.01 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | coll(f14(c5,c6,c12,A,c4,B),c6,A). [resolve(111,a,105,a)].
% 6.72/7.01 Derived: -cong(c4,c5,c4,A) | -cong(B,c5,B,c6) | B = c4 | cong(f14(c5,c6,c12,A,c4,B),B,B,c5). [resolve(111,a,106,a)].
% 6.72/7.01
% 6.72/7.01 ============================== end predicate elimination =============
% 6.72/7.01
% 6.72/7.01 Auto_denials: (non-Horn, no changes).
% 6.72/7.01
% 6.72/7.01 Term ordering decisions:
% 6.72/7.01 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. f19=1. f1=1. f2=1. f3=1. f4=1. f10=1. f11=1. f12=1. f16=1. f5=1. f9=1. f15=1. f17=1. f18=1. f6=1. f13=1. f14=1. f20=1. f7=1. f8=1.
% 6.72/7.01
% 6.72/7.01 ============================== end of process initial clauses ========
% 6.72/7.01
% 6.72/7.01 ============================== CLAUSES FOR SEARCH ====================
% 6.72/7.01
% 6.72/7.01 ============================== end of clauses for search =============
% 6.72/7.01
% 6.72/7.01 ============================== SEARCH ================================
% 6.72/7.01
% 6.72/7.01 % Starting search at 0.05 seconds.
% 6.72/7.01
% 6.72/7.01 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.17 sec).
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=26.000, iters=3335
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=22.000, iters=3422
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=21.000, iters=3355
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=18.000, iters=3343
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=17.000, iters=3356
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=16.000, iters=3335
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=15.000, iters=3381
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=14.000, iters=3378
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=13.000, iters=3338
% 6.72/7.01
% 6.72/7.01 Low Water (keep): wt=12.000, iters=3333
% 6.72/7.01
% 6.72/7.01 Low Water (displace): id=9953, wt=26.000
% 6.72/7.01
% 6.72/7.01 Low Water (displace): id=18860, wt=10.000
% 6.72/7.01
% 6.72/7.01 Low Water (displace): id=19004, wt=9.000
% 6.72/7.01
% 6.72/7.01 Low Water (displace): id=21454, wt=8.000
% 6.72/7.01
% 6.72/7.01 Low Water (displace): id=21744, wt=5.000
% 6.72/7.01
% 6.72/7.01 Low Water (displace): id=28471, wt=4.000
% 7.93/8.26
% 7.93/8.26 Low Water (keep): wt=10.000, iters=3368
% 7.93/8.26
% 7.93/8.26 ============================== PROOF =================================
% 7.93/8.26 % SZS status Theorem
% 7.93/8.26 % SZS output start Refutation
% 7.93/8.26
% 7.93/8.26 % Proof 1 at 7.07 (+ 0.09) seconds.
% 7.93/8.26 % Length of proof is 198.
% 7.93/8.26 % Level of proof is 25.
% 7.93/8.26 % Maximum clause weight is 29.000.
% 7.93/8.26 % Given clauses 11564.
% 7.93/8.26
% 7.93/8.26 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 7.93/8.26 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 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].
% 7.93/8.26 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 7.93/8.26 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].
% 7.93/8.26 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 7.93/8.26 95 -(all A all B all C all O all D1 all D all F all G all G1 all F1 all NWPNT1 all NWPNT2 (circle(O,A,B,C) & circle(O,A,D1,NWPNT1) & circle(O,D1,D,NWPNT2) & coll(D,D1,O) & perp(F,D,A,C) & coll(F,A,C) & perp(G,D,A,B) & coll(G,A,B) & perp(G1,D1,A,B) & coll(G1,A,B) & perp(F1,D1,A,C) & coll(F1,A,C) -> perp(G1,F1,G,F))) # label(exemplo6GDDFULL8110993) # label(negated_conjecture) # label(non_clause). [assumption].
% 7.93/8.26 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 7.93/8.26 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 7.93/8.26 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 7.93/8.26 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 7.93/8.26 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 7.93/8.26 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 7.93/8.26 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 7.93/8.26 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 7.93/8.26 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 7.93/8.26 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 7.93/8.26 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 7.93/8.26 122 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 7.93/8.26 124 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 7.93/8.26 125 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 7.93/8.26 126 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 7.93/8.26 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 7.93/8.26 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 7.93/8.26 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 7.93/8.26 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 7.93/8.26 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 7.93/8.26 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 7.93/8.26 153 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 7.93/8.26 154 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 7.93/8.26 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 7.93/8.26 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 7.93/8.26 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 7.93/8.26 163 -cong(A,B,C,B) | -cong(A,D,C,D) | -cyclic(A,C,B,D) | perp(B,A,A,D) # label(ruleD57) # label(axiom). [clausify(58)].
% 7.93/8.26 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 7.93/8.26 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 7.93/8.26 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 7.93/8.26 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 7.93/8.26 212 perp(c7,c6,c1,c3) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 7.93/8.26 213 coll(c7,c1,c3) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 7.93/8.26 214 perp(c8,c6,c1,c2) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 7.93/8.26 215 coll(c8,c1,c2) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 7.93/8.26 220 -perp(c9,c10,c8,c7) # label(exemplo6GDDFULL8110993) # label(negated_conjecture). [clausify(95)].
% 7.93/8.26 225 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 7.93/8.26 301 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 7.93/8.26 306 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(127,a,b)].
% 7.93/8.26 307 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(154,a,b)].
% 7.93/8.26 309 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(154,b,c)].
% 7.93/8.26 315 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 7.93/8.26 340 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(225,c,d)].
% 7.93/8.26 380 -perp(c1,c3,A,B) | para(c7,c6,A,B). [resolve(212,a,120,a)].
% 7.93/8.26 381 perp(c1,c3,c7,c6). [resolve(212,a,119,a)].
% 7.93/8.26 386 coll(c7,c3,c1). [resolve(213,a,112,a)].
% 7.93/8.26 398 -perp(A,B,c8,c6) | para(A,B,c1,c2). [resolve(214,a,120,b)].
% 7.93/8.26 399 -perp(c1,c2,A,B) | para(c8,c6,A,B). [resolve(214,a,120,a)].
% 7.93/8.26 400 perp(c1,c2,c8,c6). [resolve(214,a,119,a)].
% 7.93/8.26 405 coll(c8,c2,c1). [resolve(215,a,112,a)].
% 7.93/8.26 522 coll(c3,c3,c7). [resolve(301,a,213,a)].
% 7.93/8.26 536 coll(c1,c1,c7). [resolve(386,a,301,a)].
% 7.93/8.26 544 coll(c1,c1,c8). [resolve(405,a,301,a)].
% 7.93/8.26 574 coll(c7,c7,c3). [resolve(522,a,301,a)].
% 7.93/8.26 603 -coll(c1,c1,A) | coll(A,c7,c1). [resolve(536,a,114,b)].
% 7.93/8.26 661 coll(c7,c3,c7). [resolve(574,a,112,a)].
% 7.93/8.26 721 para(c7,c6,c7,c6). [resolve(381,a,380,a)].
% 7.93/8.26 782 coll(c7,c7,c7). [resolve(661,a,301,a)].
% 7.93/8.26 880 -perp(c8,c6,A,B) | para(c1,c2,A,B). [resolve(400,a,120,a)].
% 7.93/8.26 881 perp(c1,c2,c6,c8). [resolve(400,a,118,a)].
% 7.93/8.26 955 -midp(A,c7,c7) | midp(A,c6,c6). [resolve(721,a,315,b)].
% 7.93/8.26 962 coll(c7,c6,c6). [resolve(721,a,172,a)].
% 7.93/8.26 965 eqangle(c7,c6,A,B,c7,c6,A,B). [resolve(721,a,150,a)].
% 7.93/8.26 966 para(c7,c6,c6,c7). [resolve(721,a,115,a)].
% 7.93/8.26 968 coll(c6,c6,c7). [resolve(962,a,301,a)].
% 7.93/8.26 974 coll(c7,c7,c6). [resolve(968,a,301,a)].
% 7.93/8.26 981 coll(c7,c6,c7). [resolve(974,a,112,a)].
% 7.93/8.26 983 para(c8,c6,c8,c6). [resolve(399,a,400,a)].
% 7.93/8.26 986 coll(c6,c7,c7). [resolve(981,a,113,a)].
% 7.93/8.26 1031 para(c8,c6,c6,c8). [resolve(881,a,399,a)].
% 7.93/8.26 1151 para(c6,c7,c7,c6). [resolve(966,a,116,a)].
% 7.93/8.26 1191 coll(c8,c6,c6). [resolve(983,a,172,a)].
% 7.93/8.26 1194 eqangle(c8,c6,A,B,c8,c6,A,B). [resolve(983,a,150,a)].
% 7.93/8.26 1195 coll(c6,c6,c8). [resolve(1191,a,301,a)].
% 7.93/8.26 1201 coll(c8,c8,c6). [resolve(1195,a,301,a)].
% 7.93/8.26 1208 coll(c8,c6,c8). [resolve(1201,a,112,a)].
% 7.93/8.26 1287 para(c6,c8,c8,c6). [resolve(1031,a,116,a)].
% 7.93/8.26 1451 para(c6,c7,c6,c7). [resolve(1151,a,115,a)].
% 7.93/8.26 1524 para(c6,c8,c6,c8). [resolve(1287,a,115,a)].
% 7.93/8.26 1638 eqangle(c6,c7,A,B,c6,c7,A,B). [resolve(1451,a,150,a)].
% 7.93/8.26 1658 -midp(A,c6,c6) | midp(A,c8,c8). [resolve(1524,a,315,b)].
% 7.93/8.26 1666 -midp(c6,A,c6) | -coll(c8,A,c8) | midp(c8,A,c8). [resolve(1524,a,156,b)].
% 7.93/8.26 2552 coll(c8,c7,c1). [resolve(603,a,544,a)].
% 7.93/8.26 2580 coll(c8,c1,c7). [resolve(2552,a,112,a)].
% 7.93/8.26 2626 coll(c7,c7,c8). [resolve(2580,a,301,a)].
% 7.93/8.26 5555 -cyclic(c6,c7,c7,c6) | -cyclic(c6,c7,c7,c7) | cong(c6,c7,c6,c7). [resolve(965,a,309,c)].
% 7.93/8.26 5565 -coll(c7,c7,A) | cyclic(c6,A,c7,c7). [resolve(965,a,153,a)].
% 7.93/8.26 5567 eqangle(A,B,c7,c6,A,B,c7,c6). [resolve(965,a,129,a)].
% 7.93/8.26 6283 eqangle(A,B,c8,c6,A,B,c8,c6). [resolve(1194,a,129,a)].
% 7.93/8.26 11236 -cyclic(c7,c7,c6,c7) | -cyclic(c7,c7,c6,c6) | cong(c7,c7,c7,c7). [resolve(1638,a,307,c)].
% 7.93/8.26 11240 -coll(c6,c6,A) | cyclic(c7,A,c6,c6). [resolve(1638,a,153,a)].
% 7.93/8.26 17763 cyclic(c6,c8,c7,c7). [resolve(5565,a,2626,a)].
% 7.93/8.26 17769 cyclic(c6,c6,c7,c7). [resolve(5565,a,974,a)].
% 7.93/8.26 17770 cyclic(c6,c7,c7,c7). [resolve(5565,a,782,a)].
% 7.93/8.26 17774 -cyclic(c6,c7,c7,c6) | cong(c6,c7,c6,c7). [back_unit_del(5555),unit_del(b,17770)].
% 7.93/8.26 17776 cyclic(c8,c7,c7,c7). [resolve(17763,a,306,a)].
% 7.93/8.26 17780 cyclic(c6,c7,c8,c7). [resolve(17763,a,125,a)].
% 7.93/8.26 17814 cyclic(c6,c7,c6,c7). [resolve(17769,a,125,a)].
% 7.93/8.26 17819 cyclic(c7,c6,c7,c7). [resolve(17770,a,126,a)].
% 7.93/8.26 17836 cyclic(c7,c8,c7,c7). [resolve(17776,a,126,a)].
% 7.93/8.26 17844 cyclic(c7,c6,c8,c7). [resolve(17780,a,126,a)].
% 7.93/8.26 17920 cyclic(c6,c7,c7,c6). [resolve(17814,a,124,a)].
% 7.93/8.26 17922 cong(c6,c7,c6,c7). [back_unit_del(17774),unit_del(a,17920)].
% 7.93/8.26 17929 cyclic(c7,c7,c6,c7). [resolve(17819,a,125,a)].
% 7.93/8.26 17930 -cyclic(c7,c7,c6,c6) | cong(c7,c7,c7,c7). [back_unit_del(11236),unit_del(a,17929)].
% 7.93/8.26 17962 cyclic(c7,c7,c8,c7). [resolve(17836,a,125,a)].
% 7.93/8.26 17971 cyclic(c7,c6,c7,c8). [resolve(17844,a,124,a)].
% 7.93/8.26 18066 cyclic(c7,c7,c6,c6). [resolve(17920,a,306,a)].
% 7.93/8.26 18070 -cyclic(c6,c7,c7,A) | cyclic(c7,c7,c6,A). [resolve(17920,a,127,a)].
% 7.93/8.26 18071 cong(c7,c7,c7,c7). [back_unit_del(17930),unit_del(a,18066)].
% 7.93/8.26 18082 midp(c6,c7,c7). [resolve(17922,a,173,a),unit_del(a,986)].
% 7.93/8.26 18090 midp(c6,c6,c6). [resolve(18082,a,955,a)].
% 7.93/8.26 18119 midp(c8,c6,c8). [resolve(18090,a,1666,a),unit_del(a,1208)].
% 7.93/8.26 18158 midp(c8,c8,c6). [resolve(18119,a,122,a)].
% 7.93/8.26 18178 cong(c8,c8,c8,c6). [resolve(18158,a,174,a)].
% 7.93/8.26 18244 -cong(c7,c8,c7,c8) | perp(c8,c7,c7,c7). [resolve(17962,a,163,c),unit_del(b,18071)].
% 7.93/8.26 18255 cyclic(c6,c7,c8,c8). [resolve(17971,a,306,a)].
% 7.93/8.26 18400 midp(c7,c7,c7). [resolve(18071,a,173,a),unit_del(a,782)].
% 7.93/8.26 18405 midp(c7,c6,c6). [resolve(18400,a,955,a)].
% 7.93/8.26 18432 midp(c7,c8,c8). [resolve(18405,a,1658,a)].
% 7.93/8.26 18467 cong(c7,c8,c7,c8). [resolve(18432,a,174,a)].
% 7.93/8.26 18473 perp(c8,c7,c7,c7). [back_unit_del(18244),unit_del(a,18467)].
% 7.93/8.26 18608 perp(c8,c6,c6,c6). [resolve(18178,a,340,c),unit_del(a,1201)].
% 7.93/8.26 18757 cyclic(c6,c8,c7,c8). [resolve(18255,a,125,a)].
% 7.93/8.26 19009 cong(c8,c7,c8,c7). [resolve(18473,a,161,b),unit_del(a,18400)].
% 7.93/8.26 19102 para(c1,c2,c6,c6). [resolve(18608,a,880,a)].
% 7.93/8.26 19103 cong(c8,c6,c8,c6). [resolve(18608,a,161,b),unit_del(a,18090)].
% 7.93/8.26 19274 cyclic(c8,c6,c7,c8). [resolve(18757,a,126,a)].
% 7.93/8.26 19762 -perp(c6,c6,A,B) | perp(c1,c2,A,B). [resolve(19102,a,121,a)].
% 7.93/8.26 19927 cyclic(c8,c6,c8,c7). [resolve(19274,a,124,a)].
% 7.93/8.26 20551 cyclic(c8,c8,c6,c7). [resolve(19927,a,125,a)].
% 7.93/8.26 20964 perp(c6,c8,c8,c7). [resolve(20551,a,163,c),unit_del(a,19103),unit_del(b,19009)].
% 7.93/8.26 21477 perp(c8,c7,c6,c8). [resolve(20964,a,119,a)].
% 7.93/8.26 21880 perp(c8,c7,c8,c6). [resolve(21477,a,118,a)].
% 7.93/8.26 22191 para(c8,c7,c1,c2). [resolve(21880,a,398,a)].
% 7.93/8.26 22474 -perp(c1,c2,A,B) | perp(c8,c7,A,B). [resolve(22191,a,121,a)].
% 7.93/8.26 28144 cyclic(A,c6,c7,c7). [resolve(5567,a,153,a),unit_del(a,974)].
% 7.93/8.26 28145 para(A,B,A,B). [resolve(5567,a,149,a)].
% 7.93/8.26 28150 cyclic(c6,A,c7,c7). [resolve(28144,a,126,a)].
% 7.93/8.26 28154 coll(A,B,B). [resolve(28145,a,172,a)].
% 7.93/8.26 28160 coll(A,A,B). [resolve(28154,a,301,a)].
% 7.93/8.26 28356 cyclic(c7,A,c6,c6). [back_unit_del(11240),unit_del(a,28160)].
% 7.93/8.26 28756 cyclic(c6,c7,A,c7). [resolve(28150,a,125,a)].
% 7.93/8.26 28797 cyclic(c7,c6,A,c6). [resolve(28356,a,125,a)].
% 7.93/8.26 28826 cyclic(c6,c7,c7,A). [resolve(28756,a,124,a)].
% 7.93/8.26 28831 cyclic(c7,c7,c6,A). [back_unit_del(18070),unit_del(a,28826)].
% 7.93/8.26 29214 -cyclic(c7,c6,A,B) | cyclic(c6,A,B,c6). [resolve(28797,a,127,b)].
% 7.93/8.26 29215 -cyclic(c7,c6,A,B) | cyclic(c6,A,c6,B). [resolve(28797,a,127,a)].
% 7.93/8.26 29290 cyclic(c7,c7,A,B). [resolve(28826,a,127,b),unit_del(a,28826)].
% 7.93/8.26 29307 cyclic(c7,c6,A,B). [resolve(28831,a,127,b),unit_del(a,29290)].
% 7.93/8.26 29310 cyclic(c6,A,c6,B). [back_unit_del(29215),unit_del(a,29307)].
% 7.93/8.26 29311 cyclic(c6,A,B,c6). [back_unit_del(29214),unit_del(a,29307)].
% 7.93/8.26 30015 cyclic(c7,A,B,C). [resolve(29290,a,127,b),unit_del(a,29290)].
% 7.93/8.26 30061 cyclic(c6,A,B,C). [resolve(29307,a,127,b),unit_del(a,30015)].
% 7.93/8.26 30072 cyclic(A,c6,B,B). [resolve(29310,a,306,a)].
% 7.93/8.26 30074 cyclic(A,c6,B,C). [resolve(29310,a,127,b),unit_del(a,30061)].
% 7.93/8.26 30077 cyclic(A,B,C,c6). [resolve(29311,a,127,b),unit_del(a,30061)].
% 7.93/8.26 30179 cong(A,c6,A,c6). [resolve(6283,a,154,d),unit_del(a,30074),unit_del(b,30077),unit_del(c,30072)].
% 7.93/8.26 30597 cong(A,c6,c6,A). [resolve(30179,a,133,a)].
% 7.93/8.26 30686 cong(c6,A,A,c6). [resolve(30597,a,134,a)].
% 7.93/8.26 30756 cong(c6,A,c6,A). [resolve(30686,a,133,a)].
% 7.93/8.26 30817 perp(c6,c6,A,B). [resolve(30756,a,162,b),unit_del(a,30756)].
% 7.93/8.26 30823 perp(c1,c2,A,B). [back_unit_del(19762),unit_del(a,30817)].
% 7.93/8.26 30848 perp(c8,c7,A,B). [back_unit_del(22474),unit_del(a,30823)].
% 7.93/8.26 31284 perp(A,B,c8,c7). [resolve(30848,a,119,a)].
% 7.93/8.26 31285 $F. [resolve(31284,a,220,a)].
% 7.93/8.26
% 7.93/8.26 % SZS output end Refutation
% 7.93/8.26 ============================== end of proof ==========================
% 7.93/8.26
% 7.93/8.26 ============================== STATISTICS ============================
% 7.93/8.26
% 7.93/8.26 Given=11564. Generated=151826. Kept=31153. proofs=1.
% 7.93/8.26 Usable=8731. Sos=5647. Demods=0. Limbo=4, Disabled=16956. Hints=0.
% 7.93/8.26 Megabytes=16.76.
% 7.93/8.26 User_CPU=7.07, System_CPU=0.09, Wall_clock=7.
% 7.93/8.26
% 7.93/8.26 ============================== end of statistics =====================
% 7.93/8.26
% 7.93/8.26 ============================== end of search =========================
% 7.93/8.26
% 7.93/8.26 THEOREM PROVED
% 7.93/8.26 % SZS status Theorem
% 7.93/8.26
% 7.93/8.26 Exiting with 1 proof.
% 7.93/8.26
% 7.93/8.26 Process 32197 exit (max_proofs) Sat Jun 18 17:14:02 2022
% 7.93/8.26 Prover9 interrupted
%------------------------------------------------------------------------------