TSTP Solution File: GEO634+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 05:57:20 EDT 2022
% Result : Theorem 10.25s 10.52s
% Output : Refutation 10.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 05:48:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.81/1.10 ============================== Prover9 ===============================
% 0.81/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.10 Process 4837 was started by sandbox on n006.cluster.edu,
% 0.81/1.10 Sat Jun 18 05:48:26 2022
% 0.81/1.10 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4682_n006.cluster.edu".
% 0.81/1.10 ============================== end of head ===========================
% 0.81/1.10
% 0.81/1.10 ============================== INPUT =================================
% 0.81/1.10
% 0.81/1.10 % Reading from file /tmp/Prover9_4682_n006.cluster.edu
% 0.81/1.10
% 0.81/1.10 set(prolog_style_variables).
% 0.81/1.10 set(auto2).
% 0.81/1.10 % set(auto2) -> set(auto).
% 0.81/1.10 % set(auto) -> set(auto_inference).
% 0.81/1.10 % set(auto) -> set(auto_setup).
% 0.81/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.10 % set(auto) -> set(auto_limits).
% 0.81/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.10 % set(auto) -> set(auto_denials).
% 0.81/1.10 % set(auto) -> set(auto_process).
% 0.81/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.10 % set(auto2) -> assign(stats, some).
% 0.81/1.10 % set(auto2) -> clear(echo_input).
% 0.81/1.10 % set(auto2) -> set(quiet).
% 0.81/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.10 % set(auto2) -> clear(print_given).
% 0.81/1.10 assign(lrs_ticks,-1).
% 0.81/1.10 assign(sos_limit,10000).
% 0.81/1.10 assign(order,kbo).
% 0.81/1.10 set(lex_order_vars).
% 0.81/1.10 clear(print_given).
% 0.81/1.10
% 0.81/1.10 % formulas(sos). % not echoed (95 formulas)
% 0.81/1.10
% 0.81/1.10 ============================== end of input ==========================
% 0.81/1.10
% 0.81/1.10 % From the command line: assign(max_seconds, 300).
% 0.81/1.10
% 0.81/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.10
% 0.81/1.10 % Formulas that are not ordinary clauses:
% 0.81/1.10 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 3 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 4 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 5 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 6 (all A all B all C all D all E all F (para(A,B,C,D) & para(C,D,E,F) -> para(A,B,E,F))) # label(ruleD6) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 7 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 8 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 9 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 10 (all A all B all C all D all E all F (para(A,B,C,D) & perp(C,D,E,F) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 12 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 13 (all A all B all C all D all O (cong(O,A,O,B) & cong(O,A,O,C) & cong(O,A,O,D) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 14 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,B,D,C))) # label(ruleD14) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 15 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(A,C,B,D))) # label(ruleD15) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 16 (all A all B all C all D (cyclic(A,B,C,D) -> cyclic(B,A,C,D))) # label(ruleD16) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 17 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 18 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(B,A,C,D,P,Q,U,V))) # label(ruleD18) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 19 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(C,D,A,B,U,V,P,Q))) # label(ruleD19) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 20 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(P,Q,U,V,A,B,C,D))) # label(ruleD20) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 21 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 22 (all A all B all C all D all P all Q all U all V all E all F all G all H (eqangle(A,B,C,D,P,Q,U,V) & eqangle(P,Q,U,V,E,F,G,H) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 23 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 24 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 25 (all A all B all C all D all E all F (cong(A,B,C,D) & cong(C,D,E,F) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 26 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(B,A,C,D,P,Q,U,V))) # label(ruleD26) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 27 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(C,D,A,B,U,V,P,Q))) # label(ruleD27) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 28 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(P,Q,U,V,A,B,C,D))) # label(ruleD28) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 29 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) -> eqratio(A,B,P,Q,C,D,U,V))) # label(ruleD29) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 30 (all A all B all C all D all E all F all G all H all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & eqratio(P,Q,U,V,E,F,G,H) -> eqratio(A,B,C,D,E,F,G,H))) # label(ruleD30) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 31 (all A all B all C all P all Q all R (simtri(A,C,B,P,R,Q) -> simtri(A,B,C,P,Q,R))) # label(ruleD31) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 32 (all A all B all C all P all Q all R (simtri(B,A,C,Q,P,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD32) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 33 (all A all B all C all P all Q all R (simtri(P,Q,R,A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD33) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 34 (all A all B all C all E all F all G all P all Q all R (simtri(A,B,C,E,F,G) & simtri(E,F,G,P,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD34) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 35 (all A all B all C all P all Q all R (contri(A,C,B,P,R,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD35) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 36 (all A all B all C all P all Q all R (contri(B,A,C,Q,P,R) -> contri(A,B,C,P,Q,R))) # label(ruleD36) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 37 (all A all B all C all P all Q all R (contri(P,Q,R,A,B,C) -> contri(A,B,C,P,Q,R))) # label(ruleD37) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 38 (all A all B all C all E all F all G all P all Q all R (contri(A,B,C,E,F,G) & contri(E,F,G,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 39 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 41 (all A all B all P all Q (cyclic(A,B,P,Q) -> eqangle(P,A,P,B,Q,A,Q,B))) # label(ruleD41) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 42 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & -coll(P,Q,A) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 43 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 45 (all A all B all C all E all F (midp(E,A,B) & midp(F,A,C) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 46 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 47 (all A all B all O (cong(O,A,O,B) -> eqangle(O,A,A,B,A,B,O,B))) # label(ruleD46) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 48 (all A all B all O (eqangle(O,A,A,B,A,B,O,B) & -coll(O,A,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 49 (all A all B all C all O all X (circle(O,A,B,C) & perp(O,A,A,X) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 50 (all A all B all C all O all X (circle(O,A,B,C) & eqangle(A,X,A,B,C,A,C,B) -> perp(O,A,A,X))) # label(ruleD49) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 51 (all A all B all C all O all M (circle(O,A,B,C) & midp(M,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 53 (all A all B all C all M (perp(A,B,B,C) & midp(M,A,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 54 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 55 (all A all B all C all D (cyclic(A,B,C,D) & para(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 59 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & eqangle(A,C,B,C,P,R,Q,R) & -coll(A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 60 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqratio(A,B,A,C,P,Q,P,R))) # label(ruleD59) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 61 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqangle(A,B,B,C,P,Q,Q,R))) # label(ruleD60) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 62 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) & cong(A,B,P,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 63 (all A all B all C all P all Q all R (contri(A,B,C,P,Q,R) -> cong(A,B,P,Q))) # label(ruleD62) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 64 (all A all B all C all D all M (midp(M,A,B) & midp(M,C,D) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.10 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 66 (all A all B all C all D all O (para(A,B,C,D) & coll(O,A,C) & coll(O,B,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 68 (all A all B all C (cong(A,B,A,C) & coll(A,B,C) -> midp(A,B,C))) # label(ruleD67) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 71 (all A all B all C all D all M all N (midp(M,A,B) & midp(N,C,D) -> eqratio(M,A,A,B,N,C,C,D))) # label(ruleD70) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 72 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -para(A,B,C,D) -> perp(A,B,C,D))) # label(ruleD71) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 73 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -perp(A,B,C,D) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 74 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & para(P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 75 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & perp(P,Q,U,V) -> perp(A,B,C,D))) # label(ruleD74) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 76 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 77 (all A all M all O all X exists B (perp(O,M,M,A) & eqangle(X,O,M,O,M,O,A,O) -> coll(B,A,M) & coll(B,O,X))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 78 (all A all B all O all X exists M (cong(O,A,O,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 79 (all A all B all O all X exists M (perp(O,X,A,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 80 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 81 (all A all B all P all X all Y exists Q (eqangle(A,P,B,P,A,X,B,Y) & -coll(A,B,P) -> eqangle(A,P,B,P,A,Q,B,Q) & cyclic(X,B,P,Q))) # label(ruleX5) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 82 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> midp(P,A,D) & para(P,M,B,D) & para(P,N,A,C))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 83 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & midp(N,C,D) & coll(C,A,B) & coll(D,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 84 (all A all B all M all P all Q all R all M exists X (midp(M,A,B) & para(A,P,R,M) & para(A,P,B,Q) & coll(P,Q,R) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 85 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(O,C,O,P) & para(P,C,A,B) & cong(B,C,B,P))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 86 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,C) -> coll(P,C,B) & perp(A,P,C,B) & coll(Q,C,A) & perp(B,Q,C,A))) # label(ruleX10) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 87 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 88 (all A all B all C all D all M all N exists P exists Q (circle(M,A,B,C) & cong(M,A,M,D) & cong(N,A,N,B) & M != N -> coll(P,A,C) & cong(P,N,N,A) & coll(Q,B,D) & cong(Q,N,N,A))) # label(ruleX12) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 89 (all A all B all C all D all M exists O (cyclic(A,B,C,D) & para(A,B,C,D) & midp(M,A,B) -> circle(O,A,B,C))) # label(ruleX13) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 90 (all A all B all C all D exists O (perp(A,C,C,B) & cyclic(A,B,C,D) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 91 (all A all B all C all E all F exists P (perp(A,C,C,B) & coll(B,E,F) -> coll(P,E,F) & perp(P,A,E,F))) # label(ruleX15) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 92 (all A all B all C all D all M exists P (perp(A,B,A,C) & perp(C,A,C,D) & midp(M,B,D) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 93 (all A all B all O exists C (cong(O,A,O,B) & perp(A,O,O,B) -> coll(A,O,C) & cong(O,A,O,C))) # label(ruleX17) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 94 (all A all B all C all D all P all Q exists R (para(A,B,C,D) & coll(P,A,C) & coll(P,B,D) & coll(Q,A,B) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.11 95 -(all A all B all C all O all A1 all P all Q all S all D all G all NWPNT1 all NWPNT2 (circle(O,A,B,C) & midp(A1,C,B) & circle(O,A,P,NWPNT1) & coll(P,A,A1) & eqangle(Q,A,A,B,C,A,A,A1) & circle(O,A,Q,NWPNT2) & coll(S,B,C) & coll(S,A,Q) & perp(D,Q,B,C) & coll(D,B,C) & perp(G,Q,A,B) & coll(G,A,B) -> perp(D,G,P,A))) # label(exemplo6GDDFULL8110997) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.81/1.11
% 0.81/1.11 ============================== end of process non-clausal formulas ===
% 0.81/1.11
% 0.81/1.11 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.11
% 0.81/1.11 ============================== PREDICATE ELIMINATION =================
% 0.81/1.11 96 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(49)].
% 0.81/1.11 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | eqangle(B,C,B,D,E,B,E,D) | -cong(A,B,A,D) | -cong(A,B,A,E). [resolve(96,a,97,c)].
% 0.81/1.11 98 -circle(A,B,C,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E) # label(ruleD49) # label(axiom). [clausify(50)].
% 0.81/1.11 Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(E,A,A,B) | -cong(E,A,E,C) | -cong(E,A,E,D). [resolve(98,a,97,c)].
% 0.81/1.11 99 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(51)].
% 0.81/1.11 Derived: -midp(A,B,C) | eqangle(D,B,D,C,E,B,E,A) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(99,a,97,c)].
% 0.81/1.11 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 0.81/1.11 Derived: -coll(A,B,C) | -eqangle(D,B,D,C,E,B,E,A) | midp(A,B,C) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(100,a,97,c)].
% 0.81/1.11 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.81/1.11 Derived: -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 0.81/1.11 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.81/1.11 Derived: perp(f12(A,B,C,D),A,A,D) | -cong(D,A,D,B) | -cong(D,A,D,C). [resolve(102,a,97,c)].
% 0.81/1.11 103 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f13(B,C,D,E,A,F),B,D) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.11 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f13(B,E,F,C,A,D),B,F) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(103,a,97,c)].
% 0.81/1.11 104 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f13(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.11 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f13(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(104,a,97,c)].
% 0.81/1.11 105 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f14(B,C,D,E,A,F),C,E) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.11 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f14(B,E,F,C,A,D),E,C) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(105,a,97,c)].
% 0.81/1.11 106 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f14(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.11 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f14(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(106,a,97,c)].
% 0.81/1.11 107 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f15(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(89)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -perp(f15(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B). [resolve(107,d,96,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -eqangle(A,F,A,B,C,A,C,B) | perp(f15(A,B,C,D,E),A,A,F). [resolve(107,d,98,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -midp(F,B,C) | eqangle(A,B,A,C,f15(A,B,C,D,E),B,f15(A,B,C,D,E),F). [resolve(107,d,99,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -coll(F,B,C) | -eqangle(A,B,A,C,f15(A,B,C,D,E),B,f15(A,B,C,D,E),F) | midp(F,B,C). [resolve(107,d,100,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -coll(f15(A,B,C,D,E),A,C) | perp(A,B,B,C). [resolve(107,d,101,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | perp(f12(A,B,C,f15(A,B,C,D,E)),A,A,f15(A,B,C,D,E)). [resolve(107,d,102,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | coll(f13(A,B,C,F,f15(A,B,C,D,E),V6),A,C). [resolve(107,d,103,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | cong(f13(A,B,C,F,f15(A,B,C,D,E),V6),V6,V6,A). [resolve(107,d,104,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | coll(f14(A,B,C,F,f15(A,B,C,D,E),V6),B,F). [resolve(107,d,105,a)].
% 0.81/1.11 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f15(A,B,C,D,E),A,f15(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f15(A,B,C,D,E) | cong(f14(A,B,C,F,f15(A,B,C,D,E),V6),V6,V6,A). [resolve(107,d,106,a)].
% 0.81/1.11 108 -perp(A,B,B,C) | -cyclic(A,C,B,D) | circle(f16(A,C,B,D),A,C,B) # label(ruleX14) # label(axiom). [clausify(90)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -perp(f16(A,C,B,D),A,A,E) | eqangle(A,E,A,C,B,A,B,C). [resolve(108,c,96,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -eqangle(A,E,A,C,B,A,B,C) | perp(f16(A,C,B,D),A,A,E). [resolve(108,c,98,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -midp(E,C,B) | eqangle(A,C,A,B,f16(A,C,B,D),C,f16(A,C,B,D),E). [resolve(108,c,99,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -coll(E,C,B) | -eqangle(A,C,A,B,f16(A,C,B,D),C,f16(A,C,B,D),E) | midp(E,C,B). [resolve(108,c,100,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -coll(f16(A,C,B,D),A,B) | perp(A,C,C,B). [resolve(108,c,101,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | perp(f12(A,C,B,f16(A,C,B,D)),A,A,f16(A,C,B,D)). [resolve(108,c,102,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | coll(f13(A,C,B,E,f16(A,C,B,D),F),A,B). [resolve(108,c,103,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | cong(f13(A,C,B,E,f16(A,C,B,D),F),F,F,A). [resolve(108,c,104,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | coll(f14(A,C,B,E,f16(A,C,B,D),F),C,E). [resolve(108,c,105,a)].
% 0.81/1.11 Derived: -perp(A,B,B,C) | -cyclic(A,C,B,D) | -cong(f16(A,C,B,D),A,f16(A,C,B,D),E) | -cong(F,A,F,C) | F = f16(A,C,B,D) | cong(f14(A,C,B,E,f16(A,C,B,D),F),F,F,A). [resolve(108,c,106,a)].
% 0.81/1.11 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 0.81/1.11 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.81/1.11 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.81/1.11 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.81/1.11 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.81/1.11 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.81/1.11 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 3.96/4.22 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)].
% 3.96/4.22 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)].
% 3.96/4.22 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)].
% 3.96/4.22 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)].
% 3.96/4.22 110 circle(c4,c1,c6,c11) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 3.96/4.22 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c6,c11,c1,c11,c6). [resolve(110,a,96,a)].
% 3.96/4.22 Derived: -eqangle(c1,A,c1,c6,c11,c1,c11,c6) | perp(c4,c1,c1,A). [resolve(110,a,98,a)].
% 3.96/4.22 Derived: -midp(A,c6,c11) | eqangle(c1,c6,c1,c11,c4,c6,c4,A). [resolve(110,a,99,a)].
% 3.96/4.22 Derived: -coll(A,c6,c11) | -eqangle(c1,c6,c1,c11,c4,c6,c4,A) | midp(A,c6,c11). [resolve(110,a,100,a)].
% 3.96/4.22 Derived: -coll(c4,c1,c11) | perp(c1,c6,c6,c11). [resolve(110,a,101,a)].
% 3.96/4.22 Derived: perp(f12(c1,c6,c11,c4),c1,c1,c4). [resolve(110,a,102,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f13(c1,c6,c11,A,c4,B),c1,c11). [resolve(110,a,103,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f13(c1,c6,c11,A,c4,B),B,B,c1). [resolve(110,a,104,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f14(c1,c6,c11,A,c4,B),c6,A). [resolve(110,a,105,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f14(c1,c6,c11,A,c4,B),B,B,c1). [resolve(110,a,106,a)].
% 3.96/4.22 111 circle(c4,c1,c7,c12) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 3.96/4.22 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c7,c12,c1,c12,c7). [resolve(111,a,96,a)].
% 3.96/4.22 Derived: -eqangle(c1,A,c1,c7,c12,c1,c12,c7) | perp(c4,c1,c1,A). [resolve(111,a,98,a)].
% 3.96/4.22 Derived: -midp(A,c7,c12) | eqangle(c1,c7,c1,c12,c4,c7,c4,A). [resolve(111,a,99,a)].
% 3.96/4.22 Derived: -coll(A,c7,c12) | -eqangle(c1,c7,c1,c12,c4,c7,c4,A) | midp(A,c7,c12). [resolve(111,a,100,a)].
% 3.96/4.22 Derived: -coll(c4,c1,c12) | perp(c1,c7,c7,c12). [resolve(111,a,101,a)].
% 3.96/4.22 Derived: perp(f12(c1,c7,c12,c4),c1,c1,c4). [resolve(111,a,102,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f13(c1,c7,c12,A,c4,B),c1,c12). [resolve(111,a,103,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f13(c1,c7,c12,A,c4,B),B,B,c1). [resolve(111,a,104,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | coll(f14(c1,c7,c12,A,c4,B),c7,A). [resolve(111,a,105,a)].
% 3.96/4.22 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c7) | B = c4 | cong(f14(c1,c7,c12,A,c4,B),B,B,c1). [resolve(111,a,106,a)].
% 3.96/4.22
% 3.96/4.22 ============================== end predicate elimination =============
% 3.96/4.22
% 3.96/4.22 Auto_denials: (non-Horn, no changes).
% 3.96/4.22
% 3.96/4.22 Term ordering decisions:
% 3.96/4.22 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.
% 3.96/4.22
% 3.96/4.22 ============================== end of process initial clauses ========
% 3.96/4.22
% 3.96/4.22 ============================== CLAUSES FOR SEARCH ====================
% 3.96/4.22
% 3.96/4.22 ============================== end of clauses for search =============
% 3.96/4.22
% 3.96/4.22 ============================== SEARCH ================================
% 3.96/4.22
% 3.96/4.22 % Starting search at 0.05 seconds.
% 3.96/4.22
% 3.96/4.22 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1038 (0.00 of 0.20 sec).
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=24.000, iters=3346
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=23.000, iters=3333
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=22.000, iters=3355
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=19.000, iters=3363
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=18.000, iters=3496
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=17.000, iters=3335
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=15.000, iters=3341
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=14.000, iters=3343
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=13.000, iters=3813
% 3.96/4.22
% 3.96/4.22 Low Water (displace): id=7353, wt=48.000
% 3.96/4.22
% 3.96/4.22 Low Water (displace): id=14795, wt=11.000
% 3.96/4.22
% 3.96/4.22 Low Water (displace): id=14817, wt=10.000
% 3.96/4.22
% 3.96/4.22 Low Water (displace): id=14835, wt=7.000
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=12.000, iters=3349
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=11.000, iters=3341
% 3.96/4.22
% 3.96/4.22 Low Water (keep): wt=10.000, iters=3337
% 10.25/10.52
% 10.25/10.52 Low Water (keep): wt=9.000, iters=3338
% 10.25/10.52
% 10.25/10.52 ============================== PROOF =================================
% 10.25/10.52 % SZS status Theorem
% 10.25/10.52 % SZS output start Refutation
% 10.25/10.52
% 10.25/10.52 % Proof 1 at 9.28 (+ 0.15) seconds.
% 10.25/10.52 % Length of proof is 261.
% 10.25/10.52 % Level of proof is 28.
% 10.25/10.52 % Maximum clause weight is 29.000.
% 10.25/10.52 % Given clauses 14061.
% 10.25/10.52
% 10.25/10.52 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 10.25/10.52 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 10.25/10.52 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].
% 10.25/10.52 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 10.25/10.52 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 10.25/10.52 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].
% 10.25/10.52 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].
% 10.25/10.52 95 -(all A all B all C all O all A1 all P all Q all S all D all G all NWPNT1 all NWPNT2 (circle(O,A,B,C) & midp(A1,C,B) & circle(O,A,P,NWPNT1) & coll(P,A,A1) & eqangle(Q,A,A,B,C,A,A,A1) & circle(O,A,Q,NWPNT2) & coll(S,B,C) & coll(S,A,Q) & perp(D,Q,B,C) & coll(D,B,C) & perp(G,Q,A,B) & coll(G,A,B) -> perp(D,G,P,A))) # label(exemplo6GDDFULL8110997) # label(negated_conjecture) # label(non_clause). [assumption].
% 10.25/10.52 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 10.25/10.52 100 -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)].
% 10.25/10.52 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 10.25/10.52 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 10.25/10.52 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 10.25/10.52 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 10.25/10.52 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 10.25/10.52 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 10.25/10.52 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 10.25/10.52 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 10.25/10.52 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 10.25/10.52 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 10.25/10.52 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 10.25/10.52 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 10.25/10.52 122 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 10.25/10.52 123 -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | cyclic(B,C,D,E) # label(ruleD13) # label(axiom). [clausify(13)].
% 10.25/10.52 127 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 10.25/10.52 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 10.25/10.52 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 10.25/10.52 135 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 10.25/10.52 150 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 10.25/10.52 151 -cyclic(A,B,C,D) | eqangle(C,A,C,B,D,A,D,B) # label(ruleD41) # label(axiom). [clausify(41)].
% 10.25/10.52 154 -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)].
% 10.25/10.52 155 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 10.25/10.52 156 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 10.25/10.52 159 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 10.25/10.52 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 10.25/10.52 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 10.25/10.52 169 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 10.25/10.52 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 10.25/10.52 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 10.25/10.52 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 10.25/10.52 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 10.25/10.52 175 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 10.25/10.52 194 -midp(A,B,C) | -midp(D,E,F) | -coll(E,B,C) | -coll(F,B,C) | midp(f7(B,C,E,F,A,D,V6),B,V6) # label(ruleX7) # label(axiom). [clausify(83)].
% 10.25/10.52 211 midp(c5,c3,c2) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 10.25/10.52 214 coll(c8,c2,c3) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 10.25/10.52 218 perp(c10,c7,c1,c2) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 10.25/10.52 219 coll(c10,c1,c2) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 10.25/10.52 220 -perp(c9,c10,c6,c1) # label(exemplo6GDDFULL8110997) # label(negated_conjecture). [clausify(95)].
% 10.25/10.52 224 -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)].
% 10.25/10.52 225 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 10.25/10.52 263 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 10.25/10.52 264 perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 10.25/10.52 301 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 10.25/10.52 303 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(123,a,b)].
% 10.25/10.52 306 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(127,a,b)].
% 10.25/10.52 307 -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)].
% 10.25/10.52 314 -midp(A,B,C) | para(B,B,C,C). [factor(169,a,b)].
% 10.25/10.52 315 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 10.25/10.52 339 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(224,d,e)].
% 10.25/10.52 340 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(225,c,d)].
% 10.25/10.52 355 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(303,a,b)].
% 10.25/10.52 356 -cyclic(A,B,C,D) | -eqangle(C,A,C,B,D,D,D,D) | cong(A,B,D,D). [factor(307,a,b)].
% 10.25/10.52 364 -midp(A,B,C) | -coll(c3,B,C) | -coll(c2,B,C) | midp(f7(B,C,c3,c2,A,c5,D),B,D). [resolve(211,a,194,b)].
% 10.25/10.52 374 coll(c5,c3,c2). [resolve(211,a,175,a)].
% 10.25/10.52 375 cong(c5,c3,c5,c2). [resolve(211,a,174,a)].
% 10.25/10.52 376 -midp(c5,A,B) | para(A,c3,B,c2). [resolve(211,a,169,b)].
% 10.25/10.52 377 -midp(c5,A,B) | para(c3,A,c2,B). [resolve(211,a,169,a)].
% 10.25/10.52 378 -midp(A,c3,B) | para(A,c5,B,c2). [resolve(211,a,155,b)].
% 10.25/10.52 380 midp(c5,c2,c3). [resolve(211,a,122,a)].
% 10.25/10.52 397 coll(c2,c8,c3). [resolve(214,a,113,a)].
% 10.25/10.52 433 -perp(A,B,c10,c7) | para(A,B,c1,c2). [resolve(218,a,120,b)].
% 10.25/10.52 436 perp(c10,c7,c2,c1). [resolve(218,a,118,a)].
% 10.25/10.52 439 coll(c1,c10,c2). [resolve(219,a,113,a)].
% 10.25/10.52 440 coll(c10,c2,c1). [resolve(219,a,112,a)].
% 10.25/10.52 461 -perp(A,B,f12(c1,c2,c3,c4),c1) | para(A,B,c1,c4). [resolve(264,a,120,b)].
% 10.25/10.52 463 perp(c1,c4,f12(c1,c2,c3,c4),c1). [resolve(264,a,119,a)].
% 10.25/10.52 516 coll(c2,c2,c10). [resolve(301,a,219,a)].
% 10.25/10.52 528 coll(c2,c2,c5). [resolve(374,a,301,a)].
% 10.25/10.52 531 coll(c3,c5,c2). [resolve(374,a,113,a)].
% 10.25/10.52 532 coll(c5,c2,c3). [resolve(374,a,112,a)].
% 10.25/10.52 533 -coll(c3,c2,c3) | -coll(c2,c2,c3) | midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [resolve(380,a,364,a)].
% 10.25/10.52 553 cong(c5,c2,c5,c3). [resolve(380,a,174,a)].
% 10.25/10.52 556 -midp(A,c2,B) | para(A,c5,B,c3). [resolve(380,a,155,b)].
% 10.25/10.52 557 -midp(A,c2,B) | para(c5,A,c3,B). [resolve(380,a,155,a)].
% 10.25/10.52 567 coll(c3,c3,c2). [resolve(397,a,301,a)].
% 10.25/10.52 593 coll(c2,c2,c1). [resolve(439,a,301,a)].
% 10.25/10.52 595 -coll(c1,c10,A) | coll(c2,A,c1). [resolve(439,a,114,a)].
% 10.25/10.52 597 coll(c1,c1,c10). [resolve(440,a,301,a)].
% 10.25/10.52 599 -coll(c10,c2,A) | coll(c1,A,c10). [resolve(440,a,114,a)].
% 10.25/10.52 603 -coll(c2,c2,A) | coll(A,c10,c2). [resolve(516,a,114,b)].
% 10.25/10.52 605 coll(c2,c10,c2). [resolve(516,a,112,a)].
% 10.25/10.52 626 coll(c2,c5,c2). [resolve(528,a,112,a)].
% 10.25/10.52 627 coll(c2,c2,c3). [resolve(531,a,301,a)].
% 10.25/10.52 632 -coll(c3,c2,c3) | midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [back_unit_del(533),unit_del(b,627)].
% 10.25/10.52 633 coll(c3,c3,c5). [resolve(532,a,301,a)].
% 10.25/10.52 654 coll(c3,c2,c3). [resolve(567,a,112,a)].
% 10.25/10.52 655 midp(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [back_unit_del(632),unit_del(a,654)].
% 10.25/10.52 690 coll(c1,c1,c2). [resolve(593,a,301,a)].
% 10.25/10.52 699 -coll(c1,c1,A) | coll(A,c10,c1). [resolve(597,a,114,b)].
% 10.25/10.52 715 cyclic(c3,c2,c2,c2). [resolve(375,a,355,a)].
% 10.25/10.52 753 perp(c3,c2,c2,c2). [resolve(375,a,340,c),unit_del(a,374)].
% 10.25/10.52 780 -coll(c5,c3,A) | perp(c3,c2,c2,A) | -cong(c5,c3,c5,A). [resolve(375,a,225,c)].
% 10.25/10.52 784 -cong(A,B,c5,c3) | cong(A,B,c5,c2). [resolve(375,a,135,b)].
% 10.25/10.52 790 coll(c2,c2,c2). [resolve(605,a,301,a)].
% 10.25/10.52 804 para(c2,c3,c3,c2). [resolve(376,a,380,a)].
% 10.25/10.52 818 para(c3,c2,c2,c3). [resolve(377,a,380,a)].
% 10.25/10.52 828 coll(c5,c2,c2). [resolve(626,a,113,a)].
% 10.25/10.52 831 coll(c2,c3,c2). [resolve(627,a,112,a)].
% 10.25/10.52 840 coll(c3,c5,c3). [resolve(633,a,112,a)].
% 10.25/10.52 952 coll(c3,c2,c2). [resolve(831,a,113,a)].
% 10.25/10.52 969 coll(c5,c3,c3). [resolve(840,a,113,a)].
% 10.25/10.52 1120 perp(c2,c1,c10,c7). [resolve(436,a,119,a)].
% 10.25/10.52 1259 cyclic(c2,c2,c2,c2). [resolve(715,a,306,a)].
% 10.25/10.52 1296 -midp(c2,c2,c2) | cong(c3,c2,c3,c2). [resolve(753,a,161,b)].
% 10.25/10.52 1299 -perp(c2,c2,A,B) | para(c3,c2,A,B). [resolve(753,a,120,a)].
% 10.25/10.52 1300 perp(c2,c2,c3,c2). [resolve(753,a,119,a)].
% 10.25/10.52 1323 -midp(c2,A,c3) | -coll(c3,A,c2) | midp(c3,A,c2). [resolve(804,a,156,b)].
% 10.25/10.52 1327 para(c2,c3,c2,c3). [resolve(804,a,115,a)].
% 10.25/10.52 1339 -midp(c3,A,c2) | -coll(c2,A,c3) | midp(c2,A,c3). [resolve(818,a,156,b)].
% 10.25/10.52 1496 eqangle(c2,c2,c2,c2,c2,c2,c2,c2). [resolve(1259,a,151,a)].
% 10.25/10.52 1522 perp(c2,c2,c2,c3). [resolve(1300,a,118,a)].
% 10.25/10.52 1536 -midp(A,c2,c2) | midp(A,c3,c3). [resolve(1327,a,315,b)].
% 10.25/10.52 1545 eqangle(c2,c3,A,B,c2,c3,A,B). [resolve(1327,a,150,a)].
% 10.25/10.52 1706 perp(c2,c3,c2,c2). [resolve(1522,a,119,a)].
% 10.25/10.52 1880 -perp(c2,c2,A,B) | para(c2,c3,A,B). [resolve(1706,a,120,a)].
% 10.25/10.52 2292 para(c2,c1,c1,c2). [resolve(433,a,1120,a)].
% 10.25/10.52 2305 -midp(c2,A,c1) | -coll(c1,A,c2) | midp(c1,A,c2). [resolve(2292,a,156,b)].
% 10.25/10.52 2310 para(c2,c1,c2,c1). [resolve(2292,a,115,a)].
% 10.25/10.52 2340 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(2310,a,315,b)].
% 10.25/10.52 2430 coll(c3,c10,c2). [resolve(603,a,627,a)].
% 10.25/10.52 2436 coll(c10,c3,c2). [resolve(2430,a,113,a)].
% 10.25/10.52 2452 coll(c10,c2,c3). [resolve(2436,a,112,a)].
% 10.25/10.52 2482 coll(c1,c3,c10). [resolve(2452,a,599,a)].
% 10.25/10.52 2540 coll(c1,c10,c3). [resolve(2482,a,112,a)].
% 10.25/10.52 2610 coll(c2,c3,c1). [resolve(2540,a,595,a)].
% 10.25/10.52 2613 -coll(c1,c10,A) | coll(A,c3,c1). [resolve(2540,a,114,b)].
% 10.25/10.52 2662 para(c1,c4,c1,c4). [resolve(463,a,461,a)].
% 10.25/10.52 2726 coll(c2,c1,c3). [resolve(2610,a,112,a)].
% 10.25/10.52 2805 coll(c1,c2,c3). [resolve(2726,a,113,a)].
% 10.25/10.52 3096 coll(c1,c4,c4). [resolve(2662,a,172,a)].
% 10.25/10.52 3101 coll(c4,c4,c1). [resolve(3096,a,301,a)].
% 10.25/10.52 3112 coll(c1,c1,c4). [resolve(3101,a,301,a)].
% 10.25/10.52 4355 para(c2,c2,A,A). [resolve(655,a,314,a)].
% 10.25/10.52 4368 coll(f7(c2,c3,c3,c2,c5,c5,A),c2,A). [resolve(655,a,175,a)].
% 10.25/10.52 4369 cong(f7(c2,c3,c3,c2,c5,c5,A),c2,f7(c2,c3,c3,c2,c5,c5,A),A). [resolve(655,a,174,a)].
% 10.25/10.52 4371 -midp(f7(c2,c3,c3,c2,c5,c5,A),B,C) | para(c2,B,A,C). [resolve(655,a,169,a)].
% 10.25/10.52 4374 midp(f7(c2,c3,c3,c2,c5,c5,A),A,c2). [resolve(655,a,122,a)].
% 10.25/10.52 4909 -perp(A,A,B,C) | perp(c2,c2,B,C). [resolve(4355,a,121,a)].
% 10.25/10.52 4937 coll(c4,c10,c1). [resolve(699,a,3112,a)].
% 10.25/10.52 4946 coll(c10,c4,c1). [resolve(4937,a,113,a)].
% 10.25/10.52 4956 coll(c10,c1,c4). [resolve(4946,a,112,a)].
% 10.25/10.52 4972 coll(c1,c10,c4). [resolve(4956,a,113,a)].
% 10.25/10.52 5591 cong(c5,c2,c5,c2). [resolve(784,a,553,a)].
% 10.25/10.52 5673 midp(c5,c2,c2). [resolve(5591,a,173,a),unit_del(a,828)].
% 10.25/10.52 5694 midp(c5,c3,c3). [resolve(5673,a,1536,a)].
% 10.25/10.52 5812 cong(c5,c3,c5,c3). [resolve(5694,a,174,a)].
% 10.25/10.52 6183 perp(c3,c2,c2,c3). [resolve(5812,a,780,c),unit_del(a,969)].
% 10.25/10.52 6684 perp(c2,c3,c3,c2). [resolve(6183,a,119,a)].
% 10.25/10.52 6783 perp(c2,c3,c2,c3). [resolve(6684,a,118,a)].
% 10.25/10.52 6834 -midp(c3,c2,c3) | cong(c2,c2,c2,c3). [resolve(6783,a,161,b)].
% 10.25/10.52 7961 coll(c4,c3,c1). [resolve(2613,a,4972,a)].
% 10.25/10.52 7971 coll(c4,c1,c3). [resolve(7961,a,112,a)].
% 10.25/10.52 7972 perp(c1,c2,c2,c3). [back_unit_del(263),unit_del(a,7971)].
% 10.25/10.52 8013 -midp(c2,c2,c3) | cong(c1,c2,c1,c3). [resolve(7972,a,161,b)].
% 10.25/10.52 10946 cong(c2,c2,c2,c2). [resolve(1496,a,356,b),unit_del(a,1259)].
% 10.25/10.52 10947 midp(c2,c2,c2). [resolve(1496,a,339,b),unit_del(a,790),unit_del(c,10946)].
% 10.25/10.52 10967 cong(c3,c2,c3,c2). [back_unit_del(1296),unit_del(a,10947)].
% 10.25/10.52 10980 midp(c2,c1,c1). [resolve(10947,a,2340,a)].
% 10.25/10.52 10981 midp(c2,c3,c3). [resolve(10947,a,1536,a)].
% 10.25/10.52 10984 para(c5,c2,c3,c2). [resolve(10947,a,557,a)].
% 10.25/10.52 11084 midp(c3,c3,c2). [resolve(10981,a,1323,a),unit_del(a,567)].
% 10.25/10.52 11232 midp(c3,c2,c3). [resolve(11084,a,122,a)].
% 10.25/10.52 11251 cong(c2,c2,c2,c3). [back_unit_del(6834),unit_del(a,11232)].
% 10.25/10.52 11397 midp(c3,c2,c2). [resolve(10967,a,173,a),unit_del(a,952)].
% 10.25/10.52 11419 midp(c2,c2,c3). [resolve(11397,a,1339,a),unit_del(a,627)].
% 10.25/10.52 11476 cong(c1,c2,c1,c3). [back_unit_del(8013),unit_del(a,11419)].
% 10.25/10.52 11707 -midp(c5,A,c3) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(10984,a,156,b)].
% 10.25/10.52 12084 midp(c1,c2,c3). [resolve(11476,a,173,a),unit_del(a,2805)].
% 10.25/10.52 12138 midp(c1,c3,c2). [resolve(12084,a,122,a)].
% 10.25/10.52 12159 para(c1,c5,c2,c2). [resolve(12138,a,378,a)].
% 10.25/10.52 12500 -perp(c2,c2,A,B) | perp(c1,c5,A,B). [resolve(12159,a,121,a)].
% 10.25/10.52 12728 -coll(A,c3,A) | midp(A,c3,A) | -cong(c2,c2,c2,A). [resolve(1545,a,224,b),unit_del(c,11251)].
% 10.25/10.52 18041 midp(c1,c1,c2). [resolve(2305,a,10980,a),unit_del(a,690)].
% 10.25/10.52 18057 midp(c1,c2,c1). [resolve(18041,a,122,a)].
% 10.25/10.52 18059 para(c1,c5,c1,c3). [resolve(18057,a,556,a)].
% 10.25/10.52 18106 para(c1,c3,c1,c5). [resolve(18059,a,116,a)].
% 10.25/10.52 18161 -perp(c1,c5,A,B) | perp(c1,c3,A,B). [resolve(18106,a,121,a)].
% 10.25/10.52 23434 perp(c2,A,A,A). [resolve(4369,a,340,c),unit_del(a,4368)].
% 10.25/10.52 23440 perp(A,A,c2,A). [resolve(23434,a,119,a)].
% 10.25/10.52 23456 perp(A,A,A,c2). [resolve(23440,a,118,a)].
% 10.25/10.52 23522 para(c2,A,A,c2). [resolve(4374,a,4371,a)].
% 10.25/10.52 23557 para(c2,A,c2,A). [resolve(23522,a,115,a)].
% 10.25/10.52 23566 -midp(A,c2,c2) | midp(A,B,B). [resolve(23557,a,315,b)].
% 10.25/10.52 23567 coll(c2,A,A). [resolve(23557,a,172,a)].
% 10.25/10.52 23571 coll(A,A,c2). [resolve(23567,a,301,a)].
% 10.25/10.52 23574 coll(A,c2,A). [resolve(23567,a,113,a)].
% 10.25/10.52 23577 coll(c2,c2,A). [resolve(23571,a,301,a)].
% 10.25/10.52 23655 -coll(A,c2,B) | coll(A,B,A). [resolve(23574,a,114,a)].
% 10.25/10.52 23658 coll(A,B,c2). [resolve(23577,a,114,b),unit_del(a,23577)].
% 10.25/10.52 23662 -midp(c5,A,c3) | midp(c2,A,c2). [back_unit_del(11707),unit_del(b,23658)].
% 10.25/10.52 24107 coll(A,c2,B). [resolve(23658,a,112,a)].
% 10.25/10.52 24109 coll(A,B,A). [back_unit_del(23655),unit_del(a,24107)].
% 10.25/10.52 24124 midp(A,c3,A) | -cong(c2,c2,c2,A). [back_unit_del(12728),unit_del(a,24109)].
% 10.25/10.52 24700 perp(c2,c2,A,c2). [resolve(4909,a,23456,a)].
% 10.25/10.52 24701 perp(c2,c2,c2,A). [resolve(4909,a,23440,a)].
% 10.25/10.52 24707 para(c3,c2,A,c2). [resolve(24700,a,1299,a)].
% 10.25/10.52 24710 perp(A,c2,c2,c2). [resolve(24700,a,119,a)].
% 10.25/10.52 24713 para(c2,c3,c2,A). [resolve(24701,a,1880,a)].
% 10.25/10.52 24771 -midp(A,c3,B) | midp(A,c2,c2). [resolve(24707,a,315,b)].
% 10.25/10.52 24780 cong(A,c2,A,c2). [resolve(24710,a,161,b),unit_del(a,10947)].
% 10.25/10.52 24789 para(c2,A,c2,c3). [resolve(24713,a,116,a)].
% 10.25/10.52 24913 cong(A,c2,c2,A). [resolve(24780,a,133,a)].
% 10.25/10.52 24918 -midp(A,c2,c2) | midp(A,c3,B). [resolve(24789,a,170,c),unit_del(b,24713)].
% 10.25/10.52 24919 -midp(A,c2,c2) | midp(A,B,c3). [resolve(24789,a,170,b),unit_del(b,24713)].
% 10.25/10.52 25019 cong(c2,A,A,c2). [resolve(24913,a,134,a)].
% 10.25/10.52 25069 cong(c2,A,c2,A). [resolve(25019,a,133,a)].
% 10.25/10.52 25120 perp(c2,c2,A,B). [resolve(25069,a,162,b),unit_del(a,25069)].
% 10.25/10.52 25130 perp(c1,c5,A,B). [back_unit_del(12500),unit_del(a,25120)].
% 10.25/10.52 25167 perp(c1,c3,A,B). [back_unit_del(18161),unit_del(a,25130)].
% 10.25/10.52 25542 perp(A,B,c1,c3). [resolve(25167,a,119,a)].
% 10.25/10.52 25630 -midp(A,B,c3) | cong(B,A,c1,A). [resolve(25542,a,159,a)].
% 10.25/10.52 27920 midp(c5,A,A). [resolve(23566,a,5673,a)].
% 10.25/10.52 30305 midp(c5,c3,A). [resolve(24918,a,27920,a)].
% 10.25/10.52 30354 midp(c5,A,c3). [resolve(30305,a,122,a)].
% 10.25/10.52 30361 midp(c2,A,c2). [back_unit_del(23662),unit_del(a,30354)].
% 10.25/10.52 30423 midp(c2,c2,A). [resolve(30361,a,122,a)].
% 10.25/10.52 30474 cong(c2,c2,c2,A). [resolve(30423,a,174,a)].
% 10.25/10.52 30475 midp(A,c3,A). [back_unit_del(24124),unit_del(b,30474)].
% 10.25/10.52 30503 midp(A,c2,c2). [resolve(30475,a,24771,a)].
% 10.25/10.52 30507 midp(A,B,c3). [back_unit_del(24919),unit_del(a,30503)].
% 10.25/10.52 30521 cong(A,B,c1,B). [back_unit_del(25630),unit_del(a,30507)].
% 10.25/10.52 30794 perp(A,c1,B,C). [resolve(30521,a,162,b),unit_del(a,30521)].
% 10.25/10.52 30966 perp(A,B,C,c1). [resolve(30794,a,119,a)].
% 10.25/10.52 30967 $F. [resolve(30966,a,220,a)].
% 10.25/10.52
% 10.25/10.52 % SZS output end Refutation
% 10.25/10.52 ============================== end of proof ==========================
% 10.25/10.52
% 10.25/10.52 ============================== STATISTICS ============================
% 10.25/10.52
% 10.25/10.52 Given=14061. Generated=299411. Kept=30835. proofs=1.
% 10.25/10.52 Usable=10816. Sos=7590. Demods=0. Limbo=5, Disabled=12609. Hints=0.
% 10.25/10.52 Megabytes=16.79.
% 10.25/10.52 User_CPU=9.29, System_CPU=0.15, Wall_clock=10.
% 10.25/10.52
% 10.25/10.52 ============================== end of statistics =====================
% 10.25/10.52
% 10.25/10.52 ============================== end of search =========================
% 10.25/10.52
% 10.25/10.52 THEOREM PROVED
% 10.25/10.52 % SZS status Theorem
% 10.25/10.52
% 10.25/10.52 Exiting with 1 proof.
% 10.25/10.52
% 10.25/10.52 Process 4837 exit (max_proofs) Sat Jun 18 05:48:36 2022
% 10.25/10.52 Prover9 interrupted
%------------------------------------------------------------------------------