TSTP Solution File: GEO594+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 05:57:08 EDT 2022
% Result : Theorem 4.45s 4.72s
% Output : Refutation 4.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 00:03:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.81/1.09 ============================== Prover9 ===============================
% 0.81/1.09 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.09 Process 15812 was started by sandbox on n025.cluster.edu,
% 0.81/1.09 Sat Jun 18 00:03:58 2022
% 0.81/1.09 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15646_n025.cluster.edu".
% 0.81/1.09 ============================== end of head ===========================
% 0.81/1.09
% 0.81/1.09 ============================== INPUT =================================
% 0.81/1.09
% 0.81/1.09 % Reading from file /tmp/Prover9_15646_n025.cluster.edu
% 0.81/1.09
% 0.81/1.09 set(prolog_style_variables).
% 0.81/1.09 set(auto2).
% 0.81/1.09 % set(auto2) -> set(auto).
% 0.81/1.09 % set(auto) -> set(auto_inference).
% 0.81/1.09 % set(auto) -> set(auto_setup).
% 0.81/1.09 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.09 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.09 % set(auto) -> set(auto_limits).
% 0.81/1.09 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.09 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.09 % set(auto) -> set(auto_denials).
% 0.81/1.09 % set(auto) -> set(auto_process).
% 0.81/1.09 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.09 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.09 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.09 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.09 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.09 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.09 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.09 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.09 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.09 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.09 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.09 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.09 % set(auto2) -> assign(stats, some).
% 0.81/1.09 % set(auto2) -> clear(echo_input).
% 0.81/1.09 % set(auto2) -> set(quiet).
% 0.81/1.09 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.09 % set(auto2) -> clear(print_given).
% 0.81/1.09 assign(lrs_ticks,-1).
% 0.81/1.09 assign(sos_limit,10000).
% 0.81/1.09 assign(order,kbo).
% 0.81/1.09 set(lex_order_vars).
% 0.81/1.09 clear(print_given).
% 0.81/1.09
% 0.81/1.09 % formulas(sos). % not echoed (95 formulas)
% 0.81/1.09
% 0.81/1.09 ============================== end of input ==========================
% 0.81/1.09
% 0.81/1.09 % From the command line: assign(max_seconds, 300).
% 0.81/1.09
% 0.81/1.09 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.09
% 0.81/1.09 % Formulas that are not ordinary clauses:
% 0.81/1.09 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 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].
% 0.81/1.09 34 (all A all B all C all E all F all G all P all Q all R (simtri(A,B,C,E,F,G) & simtri(E,F,G,P,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD34) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 35 (all A all B all C all P all Q all R (contri(A,C,B,P,R,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD35) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 36 (all A all B all C all P all Q all R (contri(B,A,C,Q,P,R) -> contri(A,B,C,P,Q,R))) # label(ruleD36) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 37 (all A all B all C all P all Q all R (contri(P,Q,R,A,B,C) -> contri(A,B,C,P,Q,R))) # label(ruleD37) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 38 (all A all B all C all E all F all G all P all Q all R (contri(A,B,C,E,F,G) & contri(E,F,G,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 39 (all A all B all C all D all P all Q (eqangle(A,B,P,Q,C,D,P,Q) -> para(A,B,C,D))) # label(ruleD39) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 41 (all A all B all P all Q (cyclic(A,B,P,Q) -> eqangle(P,A,P,B,Q,A,Q,B))) # label(ruleD41) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 42 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & -coll(P,Q,A) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 43 (all A all B all P all Q (eqangle(P,A,P,B,Q,A,Q,B) & coll(P,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 45 (all A all B all C all E all F (midp(E,A,B) & midp(F,A,C) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 46 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 47 (all A all B all O (cong(O,A,O,B) -> eqangle(O,A,A,B,A,B,O,B))) # label(ruleD46) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 48 (all A all B all O (eqangle(O,A,A,B,A,B,O,B) & -coll(O,A,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 49 (all A all B all C all O all X (circle(O,A,B,C) & perp(O,A,A,X) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 50 (all A all B all C all O all X (circle(O,A,B,C) & eqangle(A,X,A,B,C,A,C,B) -> perp(O,A,A,X))) # label(ruleD49) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 51 (all A all B all C all O all M (circle(O,A,B,C) & midp(M,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 52 (all A all B all C all O all M (circle(O,A,B,C) & coll(M,B,C) & eqangle(A,B,A,C,O,B,O,M) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 53 (all A all B all C all M (perp(A,B,B,C) & midp(M,A,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 54 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 55 (all A all B all C all D (cyclic(A,B,C,D) & para(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 58 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) & cyclic(A,B,P,Q) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 59 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & eqangle(A,C,B,C,P,R,Q,R) & -coll(A,B,C) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 60 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqratio(A,B,A,C,P,Q,P,R))) # label(ruleD59) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 61 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) -> eqangle(A,B,B,C,P,Q,Q,R))) # label(ruleD60) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 62 (all A all B all C all P all Q all R (simtri(A,B,C,P,Q,R) & cong(A,B,P,Q) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 63 (all A all B all C all P all Q all R (contri(A,B,C,P,Q,R) -> cong(A,B,P,Q))) # label(ruleD62) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 64 (all A all B all C all D all M (midp(M,A,B) & midp(M,C,D) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 66 (all A all B all C all D all O (para(A,B,C,D) & coll(O,A,C) & coll(O,B,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 68 (all A all B all C (cong(A,B,A,C) & coll(A,B,C) -> midp(A,B,C))) # label(ruleD67) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 71 (all A all B all C all D all M all N (midp(M,A,B) & midp(N,C,D) -> eqratio(M,A,A,B,N,C,C,D))) # label(ruleD70) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 72 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -para(A,B,C,D) -> perp(A,B,C,D))) # label(ruleD71) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 73 (all A all B all C all D (eqangle(A,B,C,D,C,D,A,B) & -perp(A,B,C,D) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 74 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & para(P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 75 (all A all B all C all D all P all Q all U all V (eqangle(A,B,C,D,P,Q,U,V) & perp(P,Q,U,V) -> perp(A,B,C,D))) # label(ruleD74) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 76 (all A all B all C all D all P all Q all U all V (eqratio(A,B,C,D,P,Q,U,V) & cong(P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 77 (all A all M all O all X exists B (perp(O,M,M,A) & eqangle(X,O,M,O,M,O,A,O) -> coll(B,A,M) & coll(B,O,X))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 78 (all A all B all O all X exists M (cong(O,A,O,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 79 (all A all B all O all X exists M (perp(O,X,A,B) & eqangle(A,O,O,X,O,X,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 80 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 81 (all A all B all P all X all Y exists Q (eqangle(A,P,B,P,A,X,B,Y) & -coll(A,B,P) -> eqangle(A,P,B,P,A,Q,B,Q) & cyclic(X,B,P,Q))) # label(ruleX5) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 82 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> midp(P,A,D) & para(P,M,B,D) & para(P,N,A,C))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 83 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & midp(N,C,D) & coll(C,A,B) & coll(D,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 84 (all A all B all M all P all Q all R all M exists X (midp(M,A,B) & para(A,P,R,M) & para(A,P,B,Q) & coll(P,Q,R) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 85 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(O,C,O,P) & para(P,C,A,B) & cong(B,C,B,P))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 86 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,C) -> coll(P,C,B) & perp(A,P,C,B) & coll(Q,C,A) & perp(B,Q,C,A))) # label(ruleX10) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 87 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 88 (all A all B all C all D all M all N exists P exists Q (circle(M,A,B,C) & cong(M,A,M,D) & cong(N,A,N,B) & M != N -> coll(P,A,C) & cong(P,N,N,A) & coll(Q,B,D) & cong(Q,N,N,A))) # label(ruleX12) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 89 (all A all B all C all D all M exists O (cyclic(A,B,C,D) & para(A,B,C,D) & midp(M,A,B) -> circle(O,A,B,C))) # label(ruleX13) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 90 (all A all B all C all D exists O (perp(A,C,C,B) & cyclic(A,B,C,D) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 91 (all A all B all C all E all F exists P (perp(A,C,C,B) & coll(B,E,F) -> coll(P,E,F) & perp(P,A,E,F))) # label(ruleX15) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 92 (all A all B all C all D all M exists P (perp(A,B,A,C) & perp(C,A,C,D) & midp(M,B,D) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 93 (all A all B all O exists C (cong(O,A,O,B) & perp(A,O,O,B) -> coll(A,O,C) & cong(O,A,O,C))) # label(ruleX17) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 94 (all A all B all C all D all P all Q exists R (para(A,B,C,D) & coll(P,A,C) & coll(P,B,D) & coll(Q,A,B) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.09 95 -(all A all B all M all O all D all E ((cong(M,A,A,B) | cong(M,A,M,B)) & circle(O,A,B,M) & coll(D,M,O) & coll(D,A,B) & perp(A,O,A,E) & para(A,O,E,M) -> cong(M,E,M,D))) # label(exemplo6GDDFULL416056) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.81/1.09
% 0.81/1.09 ============================== end of process non-clausal formulas ===
% 0.81/1.09
% 0.81/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.09
% 0.81/1.09 ============================== PREDICATE ELIMINATION =================
% 0.81/1.09 96 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(49)].
% 0.81/1.09 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.81/1.09 Derived: -perp(A,B,B,C) | eqangle(B,C,B,D,E,B,E,D) | -cong(A,B,A,D) | -cong(A,B,A,E). [resolve(96,a,97,c)].
% 0.81/1.09 98 -circle(A,B,C,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E) # label(ruleD49) # label(axiom). [clausify(50)].
% 0.81/1.09 Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(E,A,A,B) | -cong(E,A,E,C) | -cong(E,A,E,D). [resolve(98,a,97,c)].
% 0.81/1.09 99 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(51)].
% 0.81/1.09 Derived: -midp(A,B,C) | eqangle(D,B,D,C,E,B,E,A) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(99,a,97,c)].
% 0.81/1.09 100 -circle(A,B,C,D) | -coll(E,C,D) | -eqangle(B,C,B,D,A,C,A,E) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(52)].
% 0.81/1.09 Derived: -coll(A,B,C) | -eqangle(D,B,D,C,E,B,E,A) | midp(A,B,C) | -cong(E,D,E,B) | -cong(E,D,E,C). [resolve(100,a,97,c)].
% 0.81/1.09 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.81/1.09 Derived: -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 0.81/1.09 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.81/1.09 Derived: perp(f12(A,B,C,D),A,A,D) | -cong(D,A,D,B) | -cong(D,A,D,C). [resolve(102,a,97,c)].
% 0.81/1.09 103 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f13(B,C,D,E,A,F),B,D) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.09 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f13(B,E,F,C,A,D),B,F) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(103,a,97,c)].
% 0.81/1.09 104 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f13(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.09 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f13(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(104,a,97,c)].
% 0.81/1.09 105 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f14(B,C,D,E,A,F),C,E) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.09 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f14(B,E,F,C,A,D),E,C) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(105,a,97,c)].
% 0.81/1.09 106 -circle(A,B,C,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f14(B,C,D,E,A,F),F,F,B) # label(ruleX12) # label(axiom). [clausify(88)].
% 0.81/1.09 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f14(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(106,a,97,c)].
% 0.81/1.09 107 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f15(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(89)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 108 -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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 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)].
% 0.81/1.10 109 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416056) # label(negated_conjecture). [clausify(95)].
% 0.81/1.10 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(109,a,96,a)].
% 0.81/1.10 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(109,a,98,a)].
% 0.81/1.10 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(109,a,99,a)].
% 0.81/1.10 Derived: -coll(A,c2,c3) | -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | midp(A,c2,c3). [resolve(109,a,100,a)].
% 0.81/1.10 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(109,a,101,a)].
% 0.81/1.10 Derived: perp(f12(c1,c2,c3,c4),c1,c1,c4). [resolve(109,a,102,a)].
% 0.81/1.10 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)].
% 4.45/4.72 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)].
% 4.45/4.72 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)].
% 4.45/4.72 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)].
% 4.45/4.72
% 4.45/4.72 ============================== end predicate elimination =============
% 4.45/4.72
% 4.45/4.72 Auto_denials: (non-Horn, no changes).
% 4.45/4.72
% 4.45/4.72 Term ordering decisions:
% 4.45/4.72 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=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.
% 4.45/4.72
% 4.45/4.72 ============================== end of process initial clauses ========
% 4.45/4.72
% 4.45/4.72 ============================== CLAUSES FOR SEARCH ====================
% 4.45/4.72
% 4.45/4.72 ============================== end of clauses for search =============
% 4.45/4.72
% 4.45/4.72 ============================== SEARCH ================================
% 4.45/4.72
% 4.45/4.72 % Starting search at 0.04 seconds.
% 4.45/4.72
% 4.45/4.72 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.16 sec).
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=35.000, iters=3420
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=34.000, iters=3441
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=26.000, iters=3342
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=22.000, iters=3388
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=21.000, iters=3338
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=18.000, iters=3342
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=17.000, iters=3373
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=16.000, iters=3333
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=15.000, iters=3456
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=14.000, iters=3368
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=13.000, iters=3355
% 4.45/4.72
% 4.45/4.72 Low Water (keep): wt=12.000, iters=3333
% 4.45/4.72
% 4.45/4.72 Low Water (displace): id=2368, wt=58.000
% 4.45/4.72
% 4.45/4.72 Low Water (displace): id=15020, wt=8.000
% 4.45/4.72
% 4.45/4.72 ============================== PROOF =================================
% 4.45/4.72 % SZS status Theorem
% 4.45/4.72 % SZS output start Refutation
% 4.45/4.72
% 4.45/4.72 % Proof 1 at 3.58 (+ 0.07) seconds.
% 4.45/4.72 % Length of proof is 241.
% 4.45/4.72 % Level of proof is 35.
% 4.45/4.72 % Maximum clause weight is 29.000.
% 4.45/4.72 % Given clauses 7461.
% 4.45/4.72
% 4.45/4.72 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 4.45/4.72 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 4.45/4.72 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 4.45/4.72 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].
% 4.45/4.72 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].
% 4.45/4.72 95 -(all A all B all M all O all D all E ((cong(M,A,A,B) | cong(M,A,M,B)) & circle(O,A,B,M) & coll(D,M,O) & coll(D,A,B) & perp(A,O,A,E) & para(A,O,E,M) -> cong(M,E,M,D))) # label(exemplo6GDDFULL416056) # label(negated_conjecture) # label(non_clause). [assumption].
% 4.45/4.72 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 4.45/4.72 100 -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)].
% 4.45/4.72 110 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 4.45/4.72 111 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 4.45/4.72 112 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 4.45/4.72 113 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 4.45/4.72 114 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 4.45/4.72 115 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 4.45/4.72 116 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 4.45/4.72 117 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 4.45/4.72 118 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 4.45/4.72 119 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 4.45/4.72 122 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 4.45/4.72 123 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 4.45/4.72 124 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 4.45/4.72 125 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 4.45/4.72 128 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(E,F,V6,V7,A,B,C,D) # label(ruleD20) # label(axiom). [clausify(20)].
% 4.45/4.72 129 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(21)].
% 4.45/4.72 131 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 4.45/4.72 132 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 4.45/4.72 148 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 4.45/4.72 151 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 4.45/4.72 152 -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)].
% 4.45/4.72 154 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 4.45/4.72 159 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 4.45/4.72 160 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 4.45/4.72 161 -cong(A,B,C,B) | -cong(A,D,C,D) | -cyclic(A,C,B,D) | perp(B,A,A,D) # label(ruleD57) # label(axiom). [clausify(58)].
% 4.45/4.72 168 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 4.45/4.72 169 -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)].
% 4.45/4.72 170 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 4.45/4.72 172 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 4.45/4.72 176 -eqangle(A,B,C,D,E,F,V6,V7) | -para(E,F,V6,V7) | para(A,B,C,D) # label(ruleD73) # label(axiom). [clausify(74)].
% 4.45/4.72 178 -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)].
% 4.45/4.72 210 coll(c5,c3,c4) # label(exemplo6GDDFULL416056) # label(negated_conjecture). [clausify(95)].
% 4.45/4.72 211 coll(c5,c1,c2) # label(exemplo6GDDFULL416056) # label(negated_conjecture). [clausify(95)].
% 4.45/4.72 212 perp(c1,c4,c1,c6) # label(exemplo6GDDFULL416056) # label(negated_conjecture). [clausify(95)].
% 4.45/4.72 213 para(c1,c4,c6,c3) # label(exemplo6GDDFULL416056) # label(negated_conjecture). [clausify(95)].
% 4.45/4.72 214 -cong(c3,c6,c3,c5) # label(exemplo6GDDFULL416056) # label(negated_conjecture). [clausify(95)].
% 4.45/4.72 218 -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)].
% 4.45/4.72 267 -coll(A,B,C) | coll(C,C,A). [factor(112,a,b)].
% 4.45/4.72 275 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,E) | cong(A,B,D,E). [factor(152,b,c)].
% 4.45/4.72 277 -cong(A,B,C,B) | perp(A,C,B,B). [factor(160,a,b)].
% 4.45/4.72 281 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(168,b,c)].
% 4.45/4.72 305 -coll(A,B,B) | -eqangle(C,B,C,B,D,B,D,A) | midp(A,B,B) | -cong(D,C,D,B). [factor(218,d,e)].
% 4.45/4.72 343 -coll(c5,c3,A) | coll(A,c4,c5). [resolve(210,a,112,b)].
% 4.45/4.72 344 -coll(c5,c3,A) | coll(c4,A,c5). [resolve(210,a,112,a)].
% 4.45/4.72 345 coll(c3,c5,c4). [resolve(210,a,111,a)].
% 4.45/4.72 346 coll(c5,c4,c3). [resolve(210,a,110,a)].
% 4.45/4.72 348 -coll(c5,c1,A) | coll(c2,A,c5). [resolve(211,a,112,a)].
% 4.45/4.72 349 coll(c1,c5,c2). [resolve(211,a,111,a)].
% 4.45/4.72 350 coll(c5,c2,c1). [resolve(211,a,110,a)].
% 4.45/4.72 360 -perp(A,B,c1,c4) | para(A,B,c1,c6). [resolve(212,a,118,b)].
% 4.45/4.72 362 perp(c1,c6,c1,c4). [resolve(212,a,117,a)].
% 4.45/4.72 363 perp(c1,c4,c6,c1). [resolve(212,a,116,a)].
% 4.45/4.72 374 eqangle(c1,c4,A,B,c6,c3,A,B). [resolve(213,a,148,a)].
% 4.45/4.72 376 -para(A,B,c1,c4) | para(A,B,c6,c3). [resolve(213,a,115,b)].
% 4.45/4.72 378 para(c6,c3,c1,c4). [resolve(213,a,114,a)].
% 4.45/4.72 379 para(c1,c4,c3,c6). [resolve(213,a,113,a)].
% 4.45/4.72 459 coll(c2,c2,c5). [resolve(267,a,211,a)].
% 4.45/4.72 460 coll(c4,c4,c5). [resolve(267,a,210,a)].
% 4.45/4.72 488 -coll(c3,c5,A) | coll(c4,A,c3). [resolve(345,a,112,a)].
% 4.45/4.72 489 coll(c3,c4,c5). [resolve(345,a,110,a)].
% 4.45/4.72 490 coll(c3,c3,c5). [resolve(346,a,267,a)].
% 4.45/4.72 493 coll(c4,c5,c3). [resolve(346,a,111,a)].
% 4.45/4.72 497 coll(c1,c2,c5). [resolve(349,a,110,a)].
% 4.45/4.72 498 coll(c1,c1,c5). [resolve(350,a,267,a)].
% 4.45/4.72 501 coll(c2,c5,c1). [resolve(350,a,111,a)].
% 4.45/4.72 509 coll(c5,c5,c2). [resolve(459,a,267,a)].
% 4.45/4.72 513 coll(c5,c5,c4). [resolve(460,a,267,a)].
% 4.45/4.72 521 coll(c5,c5,c3). [resolve(489,a,267,a)].
% 4.45/4.72 526 -coll(c3,c3,A) | coll(c5,A,c3). [resolve(490,a,112,a)].
% 4.45/4.72 528 -coll(c4,c5,A) | coll(A,c3,c4). [resolve(493,a,112,b)].
% 4.45/4.72 535 -coll(c1,c2,A) | coll(A,c5,c1). [resolve(497,a,112,b)].
% 4.45/4.72 539 -coll(c1,c1,A) | coll(c5,A,c1). [resolve(498,a,112,a)].
% 4.45/4.72 540 coll(c1,c5,c1). [resolve(498,a,110,a)].
% 4.45/4.72 542 -coll(c2,c5,A) | coll(c1,A,c2). [resolve(501,a,112,a)].
% 4.45/4.72 543 -coll(c5,c5,A) | coll(A,c2,c5). [resolve(509,a,112,b)].
% 4.45/4.72 673 coll(c1,c1,c1). [resolve(540,a,267,a)].
% 4.45/4.72 736 perp(c1,c6,c4,c1). [resolve(362,a,116,a)].
% 4.45/4.72 750 perp(c6,c1,c1,c4). [resolve(363,a,117,a)].
% 4.45/4.72 767 para(c6,c3,c4,c1). [resolve(378,a,113,a)].
% 4.45/4.72 776 -coll(A,c1,c3) | -coll(A,c4,c6) | eqratio(A,c1,c1,c3,A,c4,c4,c6). [resolve(379,a,169,a)].
% 4.45/4.72 784 para(c3,c6,c1,c4). [resolve(379,a,114,a)].
% 4.45/4.72 797 -perp(c4,c1,A,B) | para(c1,c6,A,B). [resolve(736,a,118,a)].
% 4.45/4.72 831 -coll(A,c6,c4) | -coll(A,c3,c1) | eqratio(A,c6,c6,c4,A,c3,c3,c1). [resolve(767,a,169,a)].
% 4.45/4.72 839 para(c4,c1,c6,c3). [resolve(767,a,114,a)].
% 4.45/4.72 856 para(c3,c6,c4,c1). [resolve(784,a,113,a)].
% 4.45/4.72 908 -perp(c6,c3,A,B) | perp(c4,c1,A,B). [resolve(839,a,119,a)].
% 4.45/4.72 920 -coll(A,c3,c4) | -coll(A,c6,c1) | eqratio(A,c3,c3,c4,A,c6,c6,c1). [resolve(856,a,169,a)].
% 4.45/4.72 989 coll(c3,c2,c5). [resolve(543,a,521,a)].
% 4.45/4.72 990 coll(c4,c2,c5). [resolve(543,a,513,a)].
% 4.45/4.72 991 para(c6,c1,c1,c6). [resolve(360,a,750,a)].
% 4.45/4.72 992 para(c1,c6,c1,c6). [resolve(360,a,362,a)].
% 4.45/4.72 996 coll(c2,c3,c5). [resolve(989,a,111,a)].
% 4.45/4.72 1000 coll(c2,c4,c5). [resolve(990,a,111,a)].
% 4.45/4.72 1004 coll(c2,c5,c3). [resolve(996,a,110,a)].
% 4.45/4.72 1015 coll(c2,c5,c4). [resolve(1000,a,110,a)].
% 4.45/4.72 1022 coll(c1,c3,c2). [resolve(1004,a,542,a)].
% 4.45/4.72 1045 coll(c1,c4,c2). [resolve(1015,a,542,a)].
% 4.45/4.72 1068 coll(c1,c2,c3). [resolve(1022,a,110,a)].
% 4.45/4.72 1090 coll(c1,c2,c4). [resolve(1045,a,110,a)].
% 4.45/4.72 1109 coll(c3,c5,c1). [resolve(1068,a,535,a)].
% 4.45/4.72 1111 -coll(c1,c2,A) | coll(A,c3,c1). [resolve(1068,a,112,b)].
% 4.45/4.72 1133 coll(c4,c5,c1). [resolve(1090,a,535,a)].
% 4.45/4.72 1155 coll(c4,c1,c3). [resolve(1109,a,488,a)].
% 4.45/4.72 1176 eqangle(c1,c4,c6,c3,A,B,A,B). [resolve(374,a,129,a)].
% 4.45/4.72 1182 coll(c1,c3,c4). [resolve(1133,a,528,a)].
% 4.45/4.72 1206 para(c6,c3,c6,c3). [resolve(376,a,378,a)].
% 4.45/4.72 1211 coll(c4,c3,c1). [resolve(1155,a,110,a)].
% 4.45/4.72 1266 -coll(A,c6,c1) | -coll(A,c1,c6) | eqratio(A,c6,c6,c1,A,c1,c1,c6). [resolve(991,a,169,a)].
% 4.45/4.72 1271 para(c1,c6,c6,c1). [resolve(991,a,114,a)].
% 4.45/4.72 1272 para(c6,c1,c6,c1). [resolve(991,a,113,a)].
% 4.45/4.72 1282 coll(c1,c6,c6). [resolve(992,a,170,a)].
% 4.45/4.72 1285 eqangle(c1,c6,A,B,c1,c6,A,B). [resolve(992,a,148,a)].
% 4.45/4.72 1286 coll(c6,c6,c1). [resolve(1282,a,267,a)].
% 4.45/4.72 1289 coll(c6,c1,c6). [resolve(1282,a,111,a)].
% 4.45/4.72 1292 coll(c1,c1,c6). [resolve(1286,a,267,a)].
% 4.45/4.72 1301 coll(c5,c6,c1). [resolve(1292,a,539,a)].
% 4.45/4.72 1304 -coll(c1,c1,A) | coll(c6,A,c1). [resolve(1292,a,112,a)].
% 4.45/4.72 1305 coll(c1,c6,c1). [resolve(1292,a,110,a)].
% 4.45/4.72 1311 coll(c5,c1,c6). [resolve(1301,a,110,a)].
% 4.45/4.72 1321 coll(c2,c6,c5). [resolve(1311,a,348,a)].
% 4.45/4.72 1335 coll(c2,c5,c6). [resolve(1321,a,110,a)].
% 4.45/4.72 1351 coll(c1,c6,c2). [resolve(1335,a,542,a)].
% 4.45/4.72 1377 coll(c1,c2,c6). [resolve(1351,a,110,a)].
% 4.45/4.72 1496 coll(c6,c3,c3). [resolve(1206,a,170,a)].
% 4.45/4.72 1500 coll(c3,c3,c6). [resolve(1496,a,267,a)].
% 4.45/4.72 1506 coll(c5,c6,c3). [resolve(1500,a,526,a)].
% 4.45/4.72 1515 coll(c5,c3,c6). [resolve(1506,a,110,a)].
% 4.45/4.72 1524 coll(c4,c6,c5). [resolve(1515,a,344,a)].
% 4.45/4.72 1525 coll(c6,c4,c5). [resolve(1515,a,343,a)].
% 4.45/4.72 1537 coll(c4,c5,c6). [resolve(1524,a,110,a)].
% 4.45/4.72 1540 coll(c6,c5,c4). [resolve(1525,a,110,a)].
% 4.45/4.72 1553 coll(c6,c6,c4). [resolve(1537,a,267,a)].
% 4.45/4.72 1557 coll(c4,c4,c6). [resolve(1540,a,267,a)].
% 4.45/4.72 1580 coll(c6,c4,c6). [resolve(1553,a,110,a)].
% 4.45/4.72 1585 coll(c4,c6,c4). [resolve(1557,a,110,a)].
% 4.45/4.72 1615 -midp(c1,A,c6) | -coll(c6,A,c1) | midp(c6,A,c1). [resolve(1271,a,154,b)].
% 4.45/4.72 1630 eqangle(c6,c1,A,B,c6,c1,A,B). [resolve(1272,a,148,a)].
% 4.45/4.72 1958 coll(c6,c3,c1). [resolve(1111,a,1377,a)].
% 4.45/4.72 1962 coll(c6,c1,c3). [resolve(1958,a,110,a)].
% 4.45/4.72 4706 eqratio(c6,c1,c1,c3,c6,c4,c4,c6). [resolve(776,b,1580,a),unit_del(a,1962)].
% 4.45/4.72 5750 eqratio(c4,c6,c6,c4,c4,c3,c3,c1). [resolve(831,a,1585,a),unit_del(a,1211)].
% 4.45/4.72 7405 eqratio(c1,c3,c3,c4,c1,c6,c6,c1). [resolve(920,b,1305,a),unit_del(a,1182)].
% 4.45/4.72 8638 eqangle(A,B,A,B,c1,c4,c6,c3). [resolve(1176,a,128,a)].
% 4.45/4.72 9219 eqratio(c6,c6,c6,c1,c6,c1,c1,c6). [resolve(1266,a,1286,a),unit_del(a,1289)].
% 4.45/4.72 9441 -cyclic(c6,c1,c1,c6) | -cyclic(c6,c1,c1,c1) | cong(c6,c1,c6,c1). [resolve(1285,a,275,c)].
% 4.45/4.72 9446 -coll(c1,c1,A) | cyclic(c6,A,c1,c1). [resolve(1285,a,151,a)].
% 4.45/4.72 11449 midp(c1,c1,c1) | -cong(c6,c6,c6,c1). [resolve(1630,a,305,b),unit_del(a,673)].
% 4.45/4.72 11450 -cyclic(c1,c6,c6,c1) | -cyclic(c1,c6,c6,c6) | cong(c1,c6,c1,c6). [resolve(1630,a,275,c)].
% 4.45/4.72 11455 -coll(c6,c6,A) | cyclic(c1,A,c6,c6). [resolve(1630,a,151,a)].
% 4.45/4.72 13641 -cong(c6,c4,c4,c6) | cong(c6,c1,c1,c3). [resolve(4706,a,178,a)].
% 4.45/4.72 13804 -cong(c4,c3,c3,c1) | cong(c4,c6,c6,c4). [resolve(5750,a,178,a)].
% 4.45/4.72 15938 -cong(c1,c6,c6,c1) | cong(c1,c3,c3,c4). [resolve(7405,a,178,a)].
% 4.45/4.72 16008 para(A,B,A,B). [resolve(8638,a,176,a),unit_del(a,213)].
% 4.45/4.72 16010 -midp(A,B,B) | midp(A,C,C). [resolve(16008,a,281,b)].
% 4.45/4.72 16011 coll(A,B,B). [resolve(16008,a,170,a)].
% 4.45/4.72 16025 coll(A,A,B). [resolve(16011,a,267,a)].
% 4.45/4.72 16149 cyclic(c1,A,c6,c6). [back_unit_del(11455),unit_del(a,16025)].
% 4.45/4.72 16208 cyclic(c6,A,c1,c1). [back_unit_del(9446),unit_del(a,16025)].
% 4.45/4.72 16393 coll(c6,A,c1). [back_unit_del(1304),unit_del(a,16025)].
% 4.45/4.72 16456 -cyclic(c1,c6,c6,c1) | cong(c1,c6,c1,c6). [back_unit_del(11450),unit_del(b,16149)].
% 4.45/4.72 16462 -cyclic(c6,c1,c1,c6) | cong(c6,c1,c6,c1). [back_unit_del(9441),unit_del(b,16208)].
% 4.45/4.72 16538 -midp(c1,A,c6) | midp(c6,A,c1). [back_unit_del(1615),unit_del(b,16393)].
% 4.45/4.72 16637 coll(A,B,C). [resolve(16025,a,112,b),unit_del(a,16025)].
% 4.45/4.72 16668 -midp(A,B,C) | -para(A,D,C,E) | midp(D,B,E). [back_unit_del(154),unit_del(c,16637)].
% 4.45/4.72 16729 cyclic(c1,c6,A,c6). [resolve(16149,a,123,a)].
% 4.45/4.73 16919 cyclic(c6,c1,A,c6). [resolve(16729,a,124,a)].
% 4.45/4.73 16920 cyclic(c1,c6,c6,A). [resolve(16729,a,122,a)].
% 4.45/4.73 16921 cong(c6,c1,c6,c1). [back_unit_del(16462),unit_del(a,16919)].
% 4.45/4.73 16922 cong(c1,c6,c1,c6). [back_unit_del(16456),unit_del(a,16920)].
% 4.45/4.73 17622 cyclic(c6,c6,A,B). [resolve(16920,a,125,b),unit_del(a,16920)].
% 4.45/4.73 17718 cong(c6,c1,c1,c6). [resolve(16921,a,131,a)].
% 4.45/4.73 17768 cong(c1,c6,c6,c1). [resolve(16922,a,131,a)].
% 4.45/4.73 17771 cong(c1,c3,c3,c4). [back_unit_del(15938),unit_del(a,17768)].
% 4.45/4.73 18190 -cong(c6,A,c6,A) | -cong(c6,B,c6,B) | perp(A,c6,c6,B). [resolve(17622,a,161,c)].
% 4.45/4.73 18217 cong(c1,c3,c4,c3). [resolve(17771,a,131,a)].
% 4.45/4.73 18459 cong(c4,c3,c1,c3). [resolve(18217,a,132,a)].
% 4.45/4.73 18565 cong(c4,c3,c3,c1). [resolve(18459,a,131,a)].
% 4.45/4.73 18566 cong(c4,c6,c6,c4). [back_unit_del(13804),unit_del(a,18565)].
% 4.45/4.73 18726 cong(c6,c4,c4,c6). [resolve(18566,a,132,a)].
% 4.45/4.73 18728 cong(c6,c1,c1,c3). [back_unit_del(13641),unit_del(a,18726)].
% 4.45/4.73 18852 cong(c6,c1,c3,c1). [resolve(18728,a,131,a)].
% 4.45/4.73 18926 perp(c6,c3,c1,c1). [resolve(18852,a,277,a)].
% 4.45/4.73 19002 perp(c4,c1,c1,c1). [resolve(18926,a,908,a)].
% 4.45/4.73 19152 para(c1,c6,c1,c1). [resolve(19002,a,797,a)].
% 4.45/4.73 19258 -midp(A,c1,c1) | -para(c1,c1,c1,c6) | midp(A,c1,c6). [resolve(19152,a,168,c)].
% 4.45/4.73 19264 para(c1,c1,c1,c6). [resolve(19152,a,114,a)].
% 4.45/4.73 19266 -midp(A,c1,c1) | midp(A,c1,c6). [back_unit_del(19258),unit_del(b,19264)].
% 4.45/4.73 20156 cong(c6,c6,c6,c1). [resolve(9219,a,178,a),unit_del(a,17718)].
% 4.45/4.73 20161 midp(c1,c1,c1). [back_unit_del(11449),unit_del(b,20156)].
% 4.45/4.73 20164 midp(c1,c1,c6). [resolve(20161,a,19266,a)].
% 4.45/4.73 20171 midp(c1,A,A). [resolve(20161,a,16010,a)].
% 4.45/4.73 20194 midp(c6,c1,c1). [resolve(20164,a,16538,a)].
% 4.45/4.73 20356 cong(c1,A,c1,A). [resolve(20171,a,172,a)].
% 4.45/4.73 20475 midp(c6,A,A). [resolve(20194,a,16010,a)].
% 4.45/4.73 20830 cong(c6,A,c6,A). [resolve(20475,a,172,a)].
% 4.45/4.73 20838 perp(A,c6,c6,B). [back_unit_del(18190),unit_del(a,20830),unit_del(b,20830)].
% 4.45/4.73 21122 perp(c1,c1,A,B). [resolve(20356,a,160,b),unit_del(a,20356)].
% 4.45/4.73 21601 -midp(c6,c6,A) | cong(B,c6,B,A). [resolve(20838,a,159,b)].
% 4.45/4.73 21753 -perp(A,B,c1,c1) | para(A,B,C,D). [resolve(21122,a,118,b)].
% 4.45/4.73 21754 perp(A,B,c1,c1). [resolve(21122,a,117,a)].
% 4.45/4.73 21755 para(A,B,C,D). [back_unit_del(21753),unit_del(a,21754)].
% 4.45/4.73 21761 -midp(A,B,C) | midp(D,B,E). [back_unit_del(16668),unit_del(b,21755)].
% 4.45/4.73 22821 midp(A,B,C). [resolve(21761,a,20475,a)].
% 4.45/4.73 22933 cong(A,c6,A,B). [back_unit_del(21601),unit_del(a,22821)].
% 4.45/4.73 22934 $F. [resolve(22933,a,214,a)].
% 4.45/4.73
% 4.45/4.73 % SZS output end Refutation
% 4.45/4.73 ============================== end of proof ==========================
% 4.45/4.73
% 4.45/4.73 ============================== STATISTICS ============================
% 4.45/4.73
% 4.45/4.73 Given=7461. Generated=93940. Kept=22812. proofs=1.
% 4.45/4.73 Usable=6321. Sos=7202. Demods=0. Limbo=112, Disabled=9336. Hints=0.
% 4.45/4.73 Megabytes=14.38.
% 4.45/4.73 User_CPU=3.59, System_CPU=0.07, Wall_clock=4.
% 4.45/4.73
% 4.45/4.73 ============================== end of statistics =====================
% 4.45/4.73
% 4.45/4.73 ============================== end of search =========================
% 4.45/4.73
% 4.45/4.73 THEOREM PROVED
% 4.45/4.73 % SZS status Theorem
% 4.45/4.73
% 4.45/4.73 Exiting with 1 proof.
% 4.45/4.73
% 4.45/4.73 Process 15812 exit (max_proofs) Sat Jun 18 00:04:02 2022
% 4.45/4.73 Prover9 interrupted
%------------------------------------------------------------------------------