TSTP Solution File: GEO619+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 05:57:15 EDT 2022
% Result : Theorem 120.31s 120.62s
% Output : Refutation 120.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:33:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/1.10 ============================== Prover9 ===============================
% 0.79/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.79/1.10 Process 25925 was started by sandbox2 on n015.cluster.edu,
% 0.79/1.10 Sat Jun 18 18:33:59 2022
% 0.79/1.10 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25772_n015.cluster.edu".
% 0.79/1.10 ============================== end of head ===========================
% 0.79/1.10
% 0.79/1.10 ============================== INPUT =================================
% 0.79/1.10
% 0.79/1.10 % Reading from file /tmp/Prover9_25772_n015.cluster.edu
% 0.79/1.10
% 0.79/1.10 set(prolog_style_variables).
% 0.79/1.10 set(auto2).
% 0.79/1.10 % set(auto2) -> set(auto).
% 0.79/1.10 % set(auto) -> set(auto_inference).
% 0.79/1.10 % set(auto) -> set(auto_setup).
% 0.79/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.79/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.79/1.10 % set(auto) -> set(auto_limits).
% 0.79/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.79/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.79/1.10 % set(auto) -> set(auto_denials).
% 0.79/1.10 % set(auto) -> set(auto_process).
% 0.79/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.79/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.79/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.79/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.79/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.79/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.79/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.79/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.79/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.79/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.79/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.79/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.79/1.10 % set(auto2) -> assign(stats, some).
% 0.79/1.10 % set(auto2) -> clear(echo_input).
% 0.79/1.10 % set(auto2) -> set(quiet).
% 0.79/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.79/1.10 % set(auto2) -> clear(print_given).
% 0.79/1.10 assign(lrs_ticks,-1).
% 0.79/1.10 assign(sos_limit,10000).
% 0.79/1.10 assign(order,kbo).
% 0.79/1.10 set(lex_order_vars).
% 0.79/1.10 clear(print_given).
% 0.79/1.10
% 0.79/1.10 % formulas(sos). % not echoed (95 formulas)
% 0.79/1.10
% 0.79/1.10 ============================== end of input ==========================
% 0.79/1.10
% 0.79/1.10 % From the command line: assign(max_seconds, 300).
% 0.79/1.10
% 0.79/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.79/1.10
% 0.79/1.10 % Formulas that are not ordinary clauses:
% 0.79/1.10 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.10 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.10 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].
% 0.79/1.10 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.10 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.10 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].
% 0.79/1.11 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].
% 0.79/1.11 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].
% 0.79/1.11 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].
% 0.79/1.11 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].
% 0.79/1.11 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].
% 0.79/1.11 95 -(all A all B all C all D all E all F all G all H all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 (perp(C,A,C,B) & cong(A,C,B,C) & coll(D,A,B) & eqangle(E,C,C,A,A,C,C,D) & coll(E,A,B) & midp(F,D,E) & circle(F,E,NWPNT1,NWPNT2) & coll(G,C,E) & circle(F,E,G,NWPNT3) & coll(H,C,D) & circle(F,E,H,NWPNT4) -> cong(D,G,D,H))) # label(exemplo6GDDFULL8110981) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.79/1.11
% 0.79/1.11 ============================== end of process non-clausal formulas ===
% 0.79/1.11
% 0.79/1.11 ============================== PROCESS INITIAL CLAUSES ===============
% 0.79/1.11
% 0.79/1.11 ============================== PREDICATE ELIMINATION =================
% 0.79/1.11 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)].
% 0.79/1.11 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 100 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.79/1.11 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)].
% 0.79/1.11 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.79/1.11 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)].
% 0.79/1.11 103 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 104 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 105 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 106 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 107 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 108 -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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 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)].
% 0.79/1.11 109 circle(c6,c5,c9,c10) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 0.79/1.11 Derived: -perp(c6,c5,c5,A) | eqangle(c5,A,c5,c9,c10,c5,c10,c9). [resolve(109,a,96,a)].
% 0.79/1.11 Derived: -eqangle(c5,A,c5,c9,c10,c5,c10,c9) | perp(c6,c5,c5,A). [resolve(109,a,98,a)].
% 0.79/1.11 Derived: -midp(A,c9,c10) | eqangle(c5,c9,c5,c10,c6,c9,c6,A). [resolve(109,a,99,a)].
% 0.79/1.11 Derived: -coll(A,c9,c10) | -eqangle(c5,c9,c5,c10,c6,c9,c6,A) | midp(A,c9,c10). [resolve(109,a,100,a)].
% 0.79/1.11 Derived: -coll(c6,c5,c10) | perp(c5,c9,c9,c10). [resolve(109,a,101,a)].
% 0.79/1.11 Derived: perp(f12(c5,c9,c10,c6),c5,c5,c6). [resolve(109,a,102,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c9) | B = c6 | coll(f13(c5,c9,c10,A,c6,B),c5,c10). [resolve(109,a,103,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c9) | B = c6 | cong(f13(c5,c9,c10,A,c6,B),B,B,c5). [resolve(109,a,104,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c9) | B = c6 | coll(f14(c5,c9,c10,A,c6,B),c9,A). [resolve(109,a,105,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c9) | B = c6 | cong(f14(c5,c9,c10,A,c6,B),B,B,c5). [resolve(109,a,106,a)].
% 1.83/2.15 110 circle(c6,c5,c7,c11) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 1.83/2.15 Derived: -perp(c6,c5,c5,A) | eqangle(c5,A,c5,c7,c11,c5,c11,c7). [resolve(110,a,96,a)].
% 1.83/2.15 Derived: -eqangle(c5,A,c5,c7,c11,c5,c11,c7) | perp(c6,c5,c5,A). [resolve(110,a,98,a)].
% 1.83/2.15 Derived: -midp(A,c7,c11) | eqangle(c5,c7,c5,c11,c6,c7,c6,A). [resolve(110,a,99,a)].
% 1.83/2.15 Derived: -coll(A,c7,c11) | -eqangle(c5,c7,c5,c11,c6,c7,c6,A) | midp(A,c7,c11). [resolve(110,a,100,a)].
% 1.83/2.15 Derived: -coll(c6,c5,c11) | perp(c5,c7,c7,c11). [resolve(110,a,101,a)].
% 1.83/2.15 Derived: perp(f12(c5,c7,c11,c6),c5,c5,c6). [resolve(110,a,102,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c7) | B = c6 | coll(f13(c5,c7,c11,A,c6,B),c5,c11). [resolve(110,a,103,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c7) | B = c6 | cong(f13(c5,c7,c11,A,c6,B),B,B,c5). [resolve(110,a,104,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c7) | B = c6 | coll(f14(c5,c7,c11,A,c6,B),c7,A). [resolve(110,a,105,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c7) | B = c6 | cong(f14(c5,c7,c11,A,c6,B),B,B,c5). [resolve(110,a,106,a)].
% 1.83/2.15 111 circle(c6,c5,c8,c12) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 1.83/2.15 Derived: -perp(c6,c5,c5,A) | eqangle(c5,A,c5,c8,c12,c5,c12,c8). [resolve(111,a,96,a)].
% 1.83/2.15 Derived: -eqangle(c5,A,c5,c8,c12,c5,c12,c8) | perp(c6,c5,c5,A). [resolve(111,a,98,a)].
% 1.83/2.15 Derived: -midp(A,c8,c12) | eqangle(c5,c8,c5,c12,c6,c8,c6,A). [resolve(111,a,99,a)].
% 1.83/2.15 Derived: -coll(A,c8,c12) | -eqangle(c5,c8,c5,c12,c6,c8,c6,A) | midp(A,c8,c12). [resolve(111,a,100,a)].
% 1.83/2.15 Derived: -coll(c6,c5,c12) | perp(c5,c8,c8,c12). [resolve(111,a,101,a)].
% 1.83/2.15 Derived: perp(f12(c5,c8,c12,c6),c5,c5,c6). [resolve(111,a,102,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c8) | B = c6 | coll(f13(c5,c8,c12,A,c6,B),c5,c12). [resolve(111,a,103,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c8) | B = c6 | cong(f13(c5,c8,c12,A,c6,B),B,B,c5). [resolve(111,a,104,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c8) | B = c6 | coll(f14(c5,c8,c12,A,c6,B),c8,A). [resolve(111,a,105,a)].
% 1.83/2.15 Derived: -cong(c6,c5,c6,A) | -cong(B,c5,B,c8) | B = c6 | cong(f14(c5,c8,c12,A,c6,B),B,B,c5). [resolve(111,a,106,a)].
% 1.83/2.15
% 1.83/2.15 ============================== end predicate elimination =============
% 1.83/2.15
% 1.83/2.15 Auto_denials: (non-Horn, no changes).
% 1.83/2.15
% 1.83/2.15 Term ordering decisions:
% 1.83/2.15 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.
% 1.83/2.15
% 1.83/2.15 ============================== end of process initial clauses ========
% 1.83/2.15
% 1.83/2.15 ============================== CLAUSES FOR SEARCH ====================
% 1.83/2.15
% 1.83/2.15 ============================== end of clauses for search =============
% 1.83/2.15
% 1.83/2.15 ============================== SEARCH ================================
% 1.83/2.15
% 1.83/2.15 % Starting search at 0.05 seconds.
% 1.83/2.15
% 1.83/2.15 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 529 (0.00 of 0.24 sec).
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=35.000, iters=3463
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=29.000, iters=3438
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=24.000, iters=3338
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=23.000, iters=3351
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=22.000, iters=3370
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=20.000, iters=3346
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=19.000, iters=3338
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=18.000, iters=3370
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=17.000, iters=3338
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=15.000, iters=3368
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=14.000, iters=3360
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=13.000, iters=3338
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=12.000, iters=3351
% 1.83/2.15
% 1.83/2.15 Low Water (keep): wt=11.000, iters=3364
% 1.83/2.15
% 1.83/2.15 Low Water (displace): id=7154, wt=48.000
% 1.83/2.15
% 120.31/120.62 Low Water (displace): id=7153, wt=47.000
% 120.31/120.62
% 120.31/120.62 Low Water (displace): id=13963, wt=10.000
% 120.31/120.62
% 120.31/120.62 Low Water (displace): id=14544, wt=7.000
% 120.31/120.62
% 120.31/120.62 Low Water (keep): wt=10.000, iters=3338
% 120.31/120.62
% 120.31/120.62 Low Water (keep): wt=9.000, iters=3335
% 120.31/120.62
% 120.31/120.62 Low Water (displace): id=34305, wt=5.000
% 120.31/120.62
% 120.31/120.62 Low Water (keep): wt=8.000, iters=3381
% 120.31/120.62
% 120.31/120.62 ============================== PROOF =================================
% 120.31/120.62 % SZS status Theorem
% 120.31/120.62 % SZS output start Refutation
% 120.31/120.62
% 120.31/120.62 % Proof 1 at 119.03 (+ 0.50) seconds.
% 120.31/120.62 % Length of proof is 271.
% 120.31/120.62 % Level of proof is 29.
% 120.31/120.62 % Maximum clause weight is 27.000.
% 120.31/120.62 % Given clauses 53865.
% 120.31/120.62
% 120.31/120.62 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 120.31/120.62 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 120.31/120.62 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].
% 120.31/120.62 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 120.31/120.62 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 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].
% 120.31/120.62 95 -(all A all B all C all D all E all F all G all H all NWPNT1 all NWPNT2 all NWPNT3 all NWPNT4 (perp(C,A,C,B) & cong(A,C,B,C) & coll(D,A,B) & eqangle(E,C,C,A,A,C,C,D) & coll(E,A,B) & midp(F,D,E) & circle(F,E,NWPNT1,NWPNT2) & coll(G,C,E) & circle(F,E,G,NWPNT3) & coll(H,C,D) & circle(F,E,H,NWPNT4) -> cong(D,G,D,H))) # label(exemplo6GDDFULL8110981) # label(negated_conjecture) # label(non_clause). [assumption].
% 120.31/120.62 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 120.31/120.62 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 120.31/120.62 112 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 120.31/120.62 113 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 120.31/120.62 114 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 120.31/120.62 115 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 120.31/120.62 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 120.31/120.62 117 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 120.31/120.62 118 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 120.31/120.62 119 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 120.31/120.62 120 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 120.31/120.62 121 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 120.31/120.62 122 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 120.31/120.62 130 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 120.31/120.62 132 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(E,F,V6,V7,V8,V9,V10,V11) | eqangle(A,B,C,D,V8,V9,V10,V11) # label(ruleD22) # label(axiom). [clausify(22)].
% 120.31/120.62 133 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 120.31/120.62 134 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 120.31/120.62 135 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 120.31/120.62 139 -eqratio(A,B,C,D,E,F,V6,V7) | eqratio(A,B,E,F,C,D,V6,V7) # label(ruleD29) # label(axiom). [clausify(29)].
% 120.31/120.62 149 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 120.31/120.62 155 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 120.31/120.62 159 -perp(A,B,B,C) | -midp(D,A,C) | cong(A,D,B,D) # label(ruleD52) # label(axiom). [clausify(53)].
% 120.31/120.62 161 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 120.31/120.62 162 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 120.31/120.62 169 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 120.31/120.62 170 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 120.31/120.62 171 -para(A,B,C,D) | -coll(E,A,C) | -coll(E,B,D) | eqratio(E,A,A,C,E,B,B,D) # label(ruleD65) # label(axiom). [clausify(66)].
% 120.31/120.62 172 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 120.31/120.62 173 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 120.31/120.62 174 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 120.31/120.62 175 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 120.31/120.62 176 -midp(A,B,C) | -midp(D,E,F) | eqratio(A,B,B,C,D,E,E,F) # label(ruleD70) # label(axiom). [clausify(71)].
% 120.31/120.62 180 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(76)].
% 120.31/120.62 194 -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)].
% 120.31/120.62 211 perp(c3,c1,c3,c2) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 212 cong(c1,c3,c2,c3) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 213 coll(c4,c1,c2) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 214 eqangle(c5,c3,c3,c1,c1,c3,c3,c4) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 215 coll(c5,c1,c2) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 216 midp(c6,c4,c5) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 217 coll(c7,c3,c5) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 218 coll(c8,c3,c4) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 219 -cong(c4,c7,c4,c8) # label(exemplo6GDDFULL8110981) # label(negated_conjecture). [clausify(95)].
% 120.31/120.62 224 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 120.31/120.62 300 -coll(A,B,C) | coll(C,C,A). [factor(114,a,b)].
% 120.31/120.62 309 -midp(A,B,C) | para(A,A,C,C). [factor(155,a,b)].
% 120.31/120.62 310 -cong(A,B,C,B) | perp(A,C,B,B). [factor(162,a,b)].
% 120.31/120.62 313 -midp(A,B,C) | para(B,B,C,C). [factor(169,a,b)].
% 120.31/120.62 314 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(170,b,c)].
% 120.31/120.62 315 -para(A,A,B,B) | -coll(C,A,B) | eqratio(C,A,A,B,C,A,A,B). [factor(171,b,c)].
% 120.31/120.62 320 -midp(A,B,C) | -coll(B,B,C) | -coll(C,B,C) | midp(f7(B,C,B,C,A,A,D),B,D). [factor(194,a,b)].
% 120.31/120.62 339 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(224,c,d)].
% 120.31/120.62 372 -perp(A,B,c3,c1) | para(A,B,c3,c2). [resolve(211,a,120,b)].
% 120.31/120.62 373 -perp(c3,c2,A,B) | para(c3,c1,A,B). [resolve(211,a,120,a)].
% 120.31/120.62 374 perp(c3,c2,c3,c1). [resolve(211,a,119,a)].
% 120.31/120.62 375 perp(c3,c1,c2,c3). [resolve(211,a,118,a)].
% 120.31/120.62 378 -cong(A,B,c1,c3) | cong(A,B,c2,c3). [resolve(212,a,135,b)].
% 120.31/120.62 379 -cong(c2,c3,A,B) | cong(c1,c3,A,B). [resolve(212,a,135,a)].
% 120.31/120.62 380 cong(c2,c3,c1,c3). [resolve(212,a,134,a)].
% 120.31/120.62 381 cong(c1,c3,c3,c2). [resolve(212,a,133,a)].
% 120.31/120.62 384 coll(c1,c4,c2). [resolve(213,a,113,a)].
% 120.31/120.62 390 -eqangle(c1,c3,c3,c4,A,B,C,D) | eqangle(c5,c3,c3,c1,A,B,C,D). [resolve(214,a,132,a)].
% 120.31/120.62 392 eqangle(c1,c3,c3,c4,c5,c3,c3,c1). [resolve(214,a,130,a)].
% 120.31/120.62 397 coll(c1,c5,c2). [resolve(215,a,113,a)].
% 120.31/120.62 408 -midp(A,B,C) | eqratio(c6,c4,c4,c5,A,B,B,C). [resolve(216,a,176,a)].
% 120.31/120.62 409 coll(c6,c4,c5). [resolve(216,a,175,a)].
% 120.31/120.62 410 cong(c6,c4,c6,c5). [resolve(216,a,174,a)].
% 120.31/120.62 412 -midp(c6,A,B) | para(c4,A,c5,B). [resolve(216,a,169,a)].
% 120.31/120.62 415 midp(c6,c5,c4). [resolve(216,a,122,a)].
% 120.31/120.62 423 coll(c3,c8,c4). [resolve(218,a,113,a)].
% 120.31/120.62 424 coll(c8,c4,c3). [resolve(218,a,112,a)].
% 120.31/120.62 500 coll(c4,c4,c8). [resolve(300,a,218,a)].
% 120.31/120.62 501 coll(c5,c5,c7). [resolve(300,a,217,a)].
% 120.31/120.62 504 para(c6,c6,c5,c5). [resolve(309,a,216,a)].
% 120.31/120.62 505 perp(c1,c2,c3,c3). [resolve(310,a,212,a)].
% 120.31/120.62 513 -coll(c1,c4,A) | coll(A,c2,c1). [resolve(384,a,114,b)].
% 120.31/120.62 515 coll(c1,c2,c4). [resolve(384,a,112,a)].
% 120.31/120.62 522 coll(c1,c2,c5). [resolve(397,a,112,a)].
% 120.31/120.62 527 coll(c5,c5,c6). [resolve(409,a,300,a)].
% 120.31/120.62 530 coll(c4,c6,c5). [resolve(409,a,113,a)].
% 120.31/120.62 531 coll(c6,c5,c4). [resolve(409,a,112,a)].
% 120.31/120.62 533 -coll(c5,c5,c4) | -coll(c4,c5,c4) | midp(f7(c5,c4,c5,c4,c6,c6,A),c5,A). [resolve(415,a,320,a)].
% 120.31/120.62 550 cong(c6,c5,c6,c4). [resolve(415,a,174,a)].
% 120.31/120.62 554 -midp(A,c5,B) | para(c6,A,c4,B). [resolve(415,a,155,a)].
% 120.31/120.62 579 -coll(c3,c8,A) | coll(A,c4,c3). [resolve(423,a,114,b)].
% 120.31/120.62 584 -coll(c8,c4,A) | coll(c3,A,c8). [resolve(424,a,114,a)].
% 120.31/120.62 587 -coll(c4,c4,A) | coll(A,c8,c4). [resolve(500,a,114,b)].
% 120.31/120.62 591 -coll(c5,c5,A) | coll(A,c7,c5). [resolve(501,a,114,b)].
% 120.31/120.62 611 coll(c4,c4,c1). [resolve(515,a,300,a)].
% 120.31/120.62 635 coll(c5,c5,c1). [resolve(522,a,300,a)].
% 120.31/120.62 652 coll(c5,c6,c5). [resolve(527,a,112,a)].
% 120.31/120.62 653 coll(c5,c5,c4). [resolve(530,a,300,a)].
% 120.31/120.62 657 -coll(c4,c5,c4) | midp(f7(c5,c4,c5,c4,c6,c6,A),c5,A). [back_unit_del(533),unit_del(a,653)].
% 120.31/120.62 658 coll(c4,c4,c6). [resolve(531,a,300,a)].
% 120.31/120.62 726 para(c3,c1,c3,c1). [resolve(374,a,373,a)].
% 120.31/120.62 727 para(c3,c2,c3,c2). [resolve(374,a,372,a)].
% 120.31/120.62 765 perp(c2,c3,c3,c1). [resolve(375,a,119,a)].
% 120.31/120.62 771 coll(c6,c5,c5). [resolve(652,a,113,a)].
% 120.31/120.62 772 coll(c4,c4,c5). [resolve(653,a,300,a)].
% 120.31/120.62 783 coll(c4,c6,c4). [resolve(658,a,112,a)].
% 120.31/120.62 826 cong(c1,c3,c1,c3). [resolve(380,a,379,a)].
% 120.31/120.62 827 cong(c2,c3,c2,c3). [resolve(380,a,378,a)].
% 120.31/120.62 851 cong(c3,c2,c1,c3). [resolve(381,a,134,a)].
% 120.31/120.62 883 coll(c4,c5,c4). [resolve(772,a,112,a)].
% 120.31/120.62 884 midp(f7(c5,c4,c5,c4,c6,c6,A),c5,A). [back_unit_del(657),unit_del(a,883)].
% 120.31/120.62 895 coll(c6,c4,c4). [resolve(783,a,113,a)].
% 120.31/120.62 941 eqangle(c5,c3,c3,c1,c5,c3,c3,c1). [resolve(392,a,390,a)].
% 120.31/120.62 954 coll(c5,c4,c4). [resolve(883,a,113,a)].
% 120.31/120.62 1062 -cong(A,B,c6,c4) | cong(A,B,c6,c5). [resolve(410,a,135,b)].
% 120.31/120.62 1063 -cong(c6,c5,A,B) | cong(c6,c4,A,B). [resolve(410,a,135,a)].
% 120.31/120.62 1080 -para(c5,c5,A,B) | para(c6,c6,A,B). [resolve(504,a,117,a)].
% 120.31/120.62 1093 -perp(c3,c3,A,B) | para(c1,c2,A,B). [resolve(505,a,120,a)].
% 120.31/120.62 1232 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(726,a,314,b)].
% 120.31/120.62 1239 coll(c3,c1,c1). [resolve(726,a,172,a)].
% 120.31/120.62 1244 coll(c1,c1,c3). [resolve(1239,a,300,a)].
% 120.31/120.62 1251 coll(c3,c3,c1). [resolve(1244,a,300,a)].
% 120.31/120.62 1258 coll(c3,c1,c3). [resolve(1251,a,112,a)].
% 120.31/120.62 1261 coll(c1,c3,c3). [resolve(1258,a,113,a)].
% 120.31/120.62 1274 coll(c3,c2,c2). [resolve(727,a,172,a)].
% 120.31/120.62 1279 coll(c2,c2,c3). [resolve(1274,a,300,a)].
% 120.31/120.62 1285 coll(c3,c3,c2). [resolve(1279,a,300,a)].
% 120.31/120.62 1293 coll(c3,c2,c3). [resolve(1285,a,112,a)].
% 120.31/120.62 1296 coll(c2,c3,c3). [resolve(1293,a,113,a)].
% 120.31/120.62 1327 -midp(A,c2,c1) | cong(c2,A,c3,A). [resolve(765,a,159,a)].
% 120.31/120.62 1379 perp(c1,c1,c3,c3). [resolve(826,a,310,a)].
% 120.31/120.62 1408 midp(c1,c3,c3). [resolve(826,a,173,a),unit_del(a,1261)].
% 120.31/120.62 1412 cong(c1,c3,c3,c1). [resolve(826,a,133,a)].
% 120.31/120.62 1520 midp(c2,c3,c3). [resolve(827,a,173,a),unit_del(a,1296)].
% 120.31/120.62 1577 cong(c3,c2,c3,c1). [resolve(851,a,133,a)].
% 120.31/120.62 1827 eqratio(c6,c4,c4,c5,c2,c3,c3,c3). [resolve(408,a,1520,a)].
% 120.31/120.62 1862 perp(c3,c3,c1,c1). [resolve(1379,a,119,a)].
% 120.31/120.62 1864 cong(c3,c1,c1,c3). [resolve(1412,a,134,a)].
% 120.31/120.62 1919 para(c4,c5,c5,c4). [resolve(412,a,415,a)].
% 120.31/120.62 1979 -coll(c3,c2,c1) | perp(c2,c1,c1,c1). [resolve(1577,a,339,c)].
% 120.31/120.62 2009 -coll(c3,c2,c1) | midp(c3,c2,c1). [resolve(1577,a,173,a)].
% 120.31/120.62 2170 cong(c3,c1,c3,c1). [resolve(1864,a,133,a)].
% 120.31/120.62 2242 para(c4,c5,c4,c5). [resolve(1919,a,115,a)].
% 120.31/120.62 2635 midp(c3,c1,c1). [resolve(2170,a,173,a),unit_del(a,1239)].
% 120.31/120.62 2660 para(c1,c1,c1,c1). [resolve(2635,a,313,a)].
% 120.31/120.62 2688 -midp(A,c4,c4) | midp(A,c5,c5). [resolve(2242,a,314,b)].
% 120.31/120.62 2936 -coll(A,c1,c1) | eqratio(A,c1,c1,c1,A,c1,c1,c1). [resolve(2660,a,315,a)].
% 120.31/120.62 3387 coll(c1,c8,c4). [resolve(587,a,611,a)].
% 120.31/120.62 3401 coll(c8,c1,c4). [resolve(3387,a,113,a)].
% 120.31/120.62 3443 coll(c8,c4,c1). [resolve(3401,a,112,a)].
% 120.31/120.62 3507 coll(c3,c1,c8). [resolve(3443,a,584,a)].
% 120.31/120.62 3509 coll(c1,c1,c8). [resolve(3443,a,300,a)].
% 120.31/120.62 3601 coll(c3,c8,c1). [resolve(3507,a,112,a)].
% 120.31/120.62 3607 coll(c1,c8,c1). [resolve(3509,a,112,a)].
% 120.31/120.62 3686 coll(c1,c4,c3). [resolve(3601,a,579,a)].
% 120.31/120.62 3695 coll(c8,c1,c1). [resolve(3607,a,113,a)].
% 120.31/120.62 3767 coll(c3,c2,c1). [resolve(3686,a,513,a)].
% 120.31/120.62 3771 midp(c3,c2,c1). [back_unit_del(2009),unit_del(a,3767)].
% 120.31/120.62 3773 perp(c2,c1,c1,c1). [back_unit_del(1979),unit_del(a,3767)].
% 120.31/120.62 4075 -midp(c1,c1,c1) | cong(c2,c1,c2,c1). [resolve(3773,a,161,b)].
% 120.31/120.62 4079 perp(c1,c1,c2,c1). [resolve(3773,a,119,a)].
% 120.31/120.62 4190 perp(c1,c1,c1,c2). [resolve(4079,a,118,a)].
% 120.31/120.62 4289 perp(c1,c2,c1,c1). [resolve(4190,a,119,a)].
% 120.31/120.62 4331 -midp(c2,c1,c1) | cong(c1,c1,c1,c1). [resolve(4289,a,161,b)].
% 120.31/120.62 4347 coll(c1,c7,c5). [resolve(591,a,635,a)].
% 120.31/120.62 4360 coll(c7,c1,c5). [resolve(4347,a,113,a)].
% 120.31/120.62 4392 coll(c7,c5,c1). [resolve(4360,a,112,a)].
% 120.31/120.62 4443 coll(c1,c1,c7). [resolve(4392,a,300,a)].
% 120.31/120.62 4527 coll(c1,c7,c1). [resolve(4443,a,112,a)].
% 120.31/120.62 4663 coll(c7,c1,c1). [resolve(4527,a,113,a)].
% 120.31/120.62 6421 para(c5,c5,A,A). [resolve(884,a,313,a)].
% 120.31/120.62 6498 para(c5,c3,c5,c3). [resolve(941,a,149,a)].
% 120.31/120.62 6503 -midp(A,c5,c5) | midp(A,c3,c3). [resolve(6498,a,314,b)].
% 120.31/120.62 6594 midp(c2,c1,c1). [resolve(1232,a,1520,a)].
% 120.31/120.62 6595 midp(c1,c1,c1). [resolve(1232,a,1408,a)].
% 120.31/120.62 6596 cong(c1,c1,c1,c1). [back_unit_del(4331),unit_del(a,6594)].
% 120.31/120.62 6597 cong(c2,c1,c2,c1). [back_unit_del(4075),unit_del(a,6595)].
% 120.31/120.62 6775 -cong(c1,A,c1,A) | perp(c1,c1,c1,A). [resolve(6596,a,162,a)].
% 120.31/120.62 6857 cong(c2,c1,c1,c2). [resolve(6597,a,133,a)].
% 120.31/120.62 6906 cong(c1,c2,c2,c1). [resolve(6857,a,134,a)].
% 120.31/120.62 6955 cong(c1,c2,c1,c2). [resolve(6906,a,133,a)].
% 120.31/120.62 7083 -cong(c1,A,c1,A) | perp(c1,c1,c2,A). [resolve(6955,a,162,a)].
% 120.31/120.62 8602 cong(c6,c5,c6,c5). [resolve(1062,a,550,a)].
% 120.31/120.62 8671 midp(c6,c5,c5). [resolve(8602,a,173,a),unit_del(a,771)].
% 120.31/120.62 8687 para(c6,c6,c4,c5). [resolve(8671,a,554,a)].
% 120.31/120.62 8746 cong(c6,c4,c6,c4). [resolve(1063,a,550,a)].
% 120.31/120.62 8886 para(c4,c5,c6,c6). [resolve(8687,a,116,a)].
% 120.31/120.62 9017 midp(c6,c4,c4). [resolve(8746,a,173,a),unit_del(a,895)].
% 120.31/120.62 9228 -perp(c6,c6,A,B) | perp(c4,c5,A,B). [resolve(8886,a,121,a)].
% 120.31/120.62 9536 para(c6,c6,A,A). [resolve(1080,a,6421,a)].
% 120.31/120.62 9541 -perp(A,A,B,C) | perp(c6,c6,B,C). [resolve(9536,a,121,a)].
% 120.31/120.62 9544 para(A,A,c6,c6). [resolve(9536,a,116,a)].
% 120.31/120.62 9549 -perp(c6,c6,A,B) | perp(C,C,A,B). [resolve(9544,a,121,a)].
% 120.31/120.62 9670 para(c1,c2,c1,c1). [resolve(1093,a,1862,a)].
% 120.31/120.62 9687 -midp(A,c1,c1) | -para(c1,c1,c1,c2) | midp(A,c2,c1). [resolve(9670,a,170,b)].
% 120.31/120.62 9693 para(c1,c1,c1,c2). [resolve(9670,a,116,a)].
% 120.31/120.62 9694 -midp(A,c1,c1) | midp(A,c2,c1). [back_unit_del(9687),unit_del(b,9693)].
% 120.31/120.62 13180 cong(c2,c3,c3,c3). [resolve(1327,a,3771,a)].
% 120.31/120.62 17017 cong(c6,c4,c4,c5). [resolve(1827,a,180,a),unit_del(a,13180)].
% 120.31/120.62 17026 cong(c6,c4,c5,c4). [resolve(17017,a,133,a)].
% 120.31/120.62 17048 cong(c5,c4,c6,c4). [resolve(17026,a,134,a)].
% 120.31/120.62 17137 perp(c5,c6,c4,c4). [resolve(17048,a,310,a)].
% 120.31/120.62 17279 cong(c5,c4,c5,c4). [resolve(17137,a,161,b),unit_del(a,9017)].
% 120.31/120.62 17638 midp(c5,c4,c4). [resolve(17279,a,173,a),unit_del(a,954)].
% 120.31/120.62 17643 midp(c5,c5,c5). [resolve(17638,a,2688,a)].
% 120.31/120.62 21868 eqratio(c7,c1,c1,c1,c7,c1,c1,c1). [resolve(2936,a,4663,a)].
% 120.31/120.62 21869 eqratio(c8,c1,c1,c1,c8,c1,c1,c1). [resolve(2936,a,3695,a)].
% 120.31/120.62 26417 midp(c5,c3,c3). [resolve(6503,a,17643,a)].
% 120.31/120.62 26441 midp(c5,c1,c1). [resolve(26417,a,1232,a)].
% 120.31/120.62 29133 midp(c5,c2,c1). [resolve(9694,a,26441,a)].
% 120.31/120.62 47897 eqratio(c7,c1,c7,c1,c1,c1,c1,c1). [resolve(21868,a,139,a)].
% 120.31/120.62 47905 eqratio(c8,c1,c8,c1,c1,c1,c1,c1). [resolve(21869,a,139,a)].
% 120.31/120.62 59708 cong(c7,c1,c7,c1). [resolve(47897,a,180,a),unit_del(a,6596)].
% 120.31/120.62 59715 cong(c7,c1,c1,c7). [resolve(59708,a,133,a)].
% 120.31/120.62 59717 cong(c1,c7,c7,c1). [resolve(59715,a,134,a)].
% 120.31/120.62 59719 cong(c1,c7,c1,c7). [resolve(59717,a,133,a)].
% 120.31/120.62 59720 perp(c1,c1,c2,c7). [resolve(59719,a,7083,a)].
% 120.31/120.62 59722 perp(c1,c1,c1,c7). [resolve(59719,a,6775,a)].
% 120.31/120.62 59738 -cong(c1,A,c1,A) | perp(c1,c1,c7,A). [resolve(59719,a,162,a)].
% 120.31/120.62 59756 -perp(A,B,c1,c1) | para(A,B,c2,c7). [resolve(59720,a,120,b)].
% 120.31/120.62 59797 -perp(A,B,c1,c1) | para(A,B,c1,c7). [resolve(59722,a,120,b)].
% 120.31/120.62 59864 cong(c8,c1,c8,c1). [resolve(47905,a,180,a),unit_del(a,6596)].
% 120.31/120.62 60117 cong(c8,c1,c1,c8). [resolve(59864,a,133,a)].
% 120.31/120.62 60267 cong(c1,c8,c8,c1). [resolve(60117,a,134,a)].
% 120.31/120.62 60340 cong(c1,c8,c1,c8). [resolve(60267,a,133,a)].
% 120.31/120.62 60379 perp(c1,c1,c2,c8). [resolve(60340,a,7083,a)].
% 120.31/120.62 60381 perp(c1,c1,c1,c8). [resolve(60340,a,6775,a)].
% 120.31/120.62 60404 perp(c6,c6,c2,c8). [resolve(60379,a,9541,a)].
% 120.31/120.62 60438 perp(c6,c6,c1,c8). [resolve(60381,a,9541,a)].
% 120.31/120.62 60522 perp(A,A,c2,c8). [resolve(60404,a,9549,a)].
% 120.31/120.62 60589 perp(A,A,c1,c8). [resolve(60438,a,9549,a)].
% 120.31/120.62 60983 perp(c2,c8,A,A). [resolve(60522,a,119,a)].
% 120.31/120.62 61071 perp(c1,c8,A,A). [resolve(60589,a,119,a)].
% 120.31/120.62 67719 perp(c1,c1,c7,c8). [resolve(59738,a,60340,a)].
% 120.31/120.62 67769 para(c1,c8,c2,c7). [resolve(59756,a,61071,a)].
% 120.31/120.62 68050 para(c2,c8,c1,c7). [resolve(59797,a,60983,a)].
% 120.31/120.62 68378 perp(c6,c6,c7,c8). [resolve(67719,a,9541,a)].
% 120.31/120.62 68429 para(c2,c7,c1,c8). [resolve(67769,a,116,a)].
% 120.31/120.62 68632 -midp(A,c2,c1) | midp(A,c7,c8). [resolve(68050,a,170,c),unit_del(b,68429)].
% 120.31/120.62 68759 perp(c4,c5,c7,c8). [resolve(68378,a,9228,a)].
% 120.31/120.62 69077 -midp(c5,c7,c8). [resolve(68759,a,161,b),unit_del(b,219)].
% 120.31/120.62 75160 $F. [resolve(68632,a,29133,a),unit_del(a,69077)].
% 120.31/120.62
% 120.31/120.62 % SZS output end Refutation
% 120.31/120.62 ============================== end of proof ==========================
% 120.31/120.62
% 120.31/120.62 ============================== STATISTICS ============================
% 120.31/120.62
% 120.31/120.62 Given=53865. Generated=984122. Kept=75028. proofs=1.
% 120.31/120.62 Usable=51764. Sos=6406. Demods=0. Limbo=0, Disabled=17043. Hints=0.
% 120.31/120.62 Megabytes=34.92.
% 120.31/120.62 User_CPU=119.03, System_CPU=0.50, Wall_clock=120.
% 120.31/120.62
% 120.31/120.62 ============================== end of statistics =====================
% 120.31/120.62
% 120.31/120.62 ============================== end of search =========================
% 120.31/120.62
% 120.31/120.62 THEOREM PROVED
% 120.31/120.62 % SZS status Theorem
% 120.31/120.62
% 120.31/120.62 Exiting with 1 proof.
% 120.31/120.62
% 120.31/120.62 Process 25925 exit (max_proofs) Sat Jun 18 18:35:59 2022
% 120.31/120.62 Prover9 interrupted
%------------------------------------------------------------------------------