TSTP Solution File: GEO588+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 05:57:06 EDT 2022
% Result : Theorem 36.66s 36.96s
% Output : Refutation 36.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 15:43:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.88/1.16 ============================== Prover9 ===============================
% 0.88/1.16 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.16 Process 6244 was started by sandbox on n013.cluster.edu,
% 0.88/1.16 Fri Jun 17 15:43:14 2022
% 0.88/1.16 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6090_n013.cluster.edu".
% 0.88/1.16 ============================== end of head ===========================
% 0.88/1.16
% 0.88/1.16 ============================== INPUT =================================
% 0.88/1.16
% 0.88/1.16 % Reading from file /tmp/Prover9_6090_n013.cluster.edu
% 0.88/1.16
% 0.88/1.16 set(prolog_style_variables).
% 0.88/1.16 set(auto2).
% 0.88/1.16 % set(auto2) -> set(auto).
% 0.88/1.16 % set(auto) -> set(auto_inference).
% 0.88/1.16 % set(auto) -> set(auto_setup).
% 0.88/1.16 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.16 % set(auto) -> set(auto_limits).
% 0.88/1.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.16 % set(auto) -> set(auto_denials).
% 0.88/1.16 % set(auto) -> set(auto_process).
% 0.88/1.16 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.16 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.16 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.16 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.16 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.16 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.16 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.16 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.16 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.16 % set(auto2) -> assign(stats, some).
% 0.88/1.16 % set(auto2) -> clear(echo_input).
% 0.88/1.16 % set(auto2) -> set(quiet).
% 0.88/1.16 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.16 % set(auto2) -> clear(print_given).
% 0.88/1.16 assign(lrs_ticks,-1).
% 0.88/1.16 assign(sos_limit,10000).
% 0.88/1.16 assign(order,kbo).
% 0.88/1.16 set(lex_order_vars).
% 0.88/1.16 clear(print_given).
% 0.88/1.16
% 0.88/1.16 % formulas(sos). % not echoed (95 formulas)
% 0.88/1.16
% 0.88/1.16 ============================== end of input ==========================
% 0.88/1.16
% 0.88/1.16 % From the command line: assign(max_seconds, 300).
% 0.88/1.16
% 0.88/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.16
% 0.88/1.16 % Formulas that are not ordinary clauses:
% 0.88/1.16 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.16 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.16 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].
% 0.88/1.17 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].
% 0.88/1.17 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.17 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].
% 0.88/1.17 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.17 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 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].
% 0.88/1.17 95 -(all A all C all M all B all O all D all P all R all J all NWPNT1 (coll(M,A,C) & perp(A,C,M,B) & circle(O,A,C,B) & circle(O,B,D,NWPNT1) & coll(D,B,M) & midp(P,B,A) & midp(R,D,C) & coll(J,M,O) & coll(J,P,R) -> para(P,O,M,R))) # label(exemplo6GDDFULL416050) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.88/1.17
% 0.88/1.17 ============================== end of process non-clausal formulas ===
% 0.88/1.17
% 0.88/1.17 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.17
% 0.88/1.17 ============================== PREDICATE ELIMINATION =================
% 0.88/1.17 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)].
% 0.88/1.17 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 100 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.88/1.17 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)].
% 0.88/1.17 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.88/1.17 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)].
% 0.88/1.17 103 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 104 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 105 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 106 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 107 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 108 -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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 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)].
% 0.88/1.17 109 circle(c5,c1,c2,c4) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 0.88/1.17 Derived: -perp(c5,c1,c1,A) | eqangle(c1,A,c1,c2,c4,c1,c4,c2). [resolve(109,a,96,a)].
% 0.88/1.17 Derived: -eqangle(c1,A,c1,c2,c4,c1,c4,c2) | perp(c5,c1,c1,A). [resolve(109,a,98,a)].
% 0.88/1.17 Derived: -midp(A,c2,c4) | eqangle(c1,c2,c1,c4,c5,c2,c5,A). [resolve(109,a,99,a)].
% 0.88/1.17 Derived: -coll(A,c2,c4) | -eqangle(c1,c2,c1,c4,c5,c2,c5,A) | midp(A,c2,c4). [resolve(109,a,100,a)].
% 0.88/1.17 Derived: -coll(c5,c1,c4) | perp(c1,c2,c2,c4). [resolve(109,a,101,a)].
% 0.88/1.17 Derived: perp(f12(c1,c2,c4,c5),c1,c1,c5). [resolve(109,a,102,a)].
% 0.88/1.17 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | coll(f13(c1,c2,c4,A,c5,B),c1,c4). [resolve(109,a,103,a)].
% 36.66/36.96 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | cong(f13(c1,c2,c4,A,c5,B),B,B,c1). [resolve(109,a,104,a)].
% 36.66/36.96 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | coll(f14(c1,c2,c4,A,c5,B),c2,A). [resolve(109,a,105,a)].
% 36.66/36.96 Derived: -cong(c5,c1,c5,A) | -cong(B,c1,B,c2) | B = c5 | cong(f14(c1,c2,c4,A,c5,B),B,B,c1). [resolve(109,a,106,a)].
% 36.66/36.96 110 circle(c5,c4,c6,c10) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 Derived: -perp(c5,c4,c4,A) | eqangle(c4,A,c4,c6,c10,c4,c10,c6). [resolve(110,a,96,a)].
% 36.66/36.96 Derived: -eqangle(c4,A,c4,c6,c10,c4,c10,c6) | perp(c5,c4,c4,A). [resolve(110,a,98,a)].
% 36.66/36.96 Derived: -midp(A,c6,c10) | eqangle(c4,c6,c4,c10,c5,c6,c5,A). [resolve(110,a,99,a)].
% 36.66/36.96 Derived: -coll(A,c6,c10) | -eqangle(c4,c6,c4,c10,c5,c6,c5,A) | midp(A,c6,c10). [resolve(110,a,100,a)].
% 36.66/36.96 Derived: -coll(c5,c4,c10) | perp(c4,c6,c6,c10). [resolve(110,a,101,a)].
% 36.66/36.96 Derived: perp(f12(c4,c6,c10,c5),c4,c4,c5). [resolve(110,a,102,a)].
% 36.66/36.96 Derived: -cong(c5,c4,c5,A) | -cong(B,c4,B,c6) | B = c5 | coll(f13(c4,c6,c10,A,c5,B),c4,c10). [resolve(110,a,103,a)].
% 36.66/36.96 Derived: -cong(c5,c4,c5,A) | -cong(B,c4,B,c6) | B = c5 | cong(f13(c4,c6,c10,A,c5,B),B,B,c4). [resolve(110,a,104,a)].
% 36.66/36.96 Derived: -cong(c5,c4,c5,A) | -cong(B,c4,B,c6) | B = c5 | coll(f14(c4,c6,c10,A,c5,B),c6,A). [resolve(110,a,105,a)].
% 36.66/36.96 Derived: -cong(c5,c4,c5,A) | -cong(B,c4,B,c6) | B = c5 | cong(f14(c4,c6,c10,A,c5,B),B,B,c4). [resolve(110,a,106,a)].
% 36.66/36.96
% 36.66/36.96 ============================== end predicate elimination =============
% 36.66/36.96
% 36.66/36.96 Auto_denials: (non-Horn, no changes).
% 36.66/36.96
% 36.66/36.96 Term ordering decisions:
% 36.66/36.96 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=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.
% 36.66/36.96
% 36.66/36.96 ============================== end of process initial clauses ========
% 36.66/36.96
% 36.66/36.96 ============================== CLAUSES FOR SEARCH ====================
% 36.66/36.96
% 36.66/36.96 ============================== end of clauses for search =============
% 36.66/36.96
% 36.66/36.96 ============================== SEARCH ================================
% 36.66/36.96
% 36.66/36.96 % Starting search at 0.05 seconds.
% 36.66/36.96
% 36.66/36.96 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 752 (0.00 of 0.22 sec).
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=33.000, iters=3408
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=32.000, iters=3392
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=30.000, iters=3380
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=29.000, iters=3372
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=28.000, iters=3441
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=27.000, iters=3525
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=25.000, iters=3441
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=24.000, iters=3359
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=23.000, iters=3343
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=22.000, iters=3337
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=19.000, iters=3346
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=18.000, iters=3341
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=17.000, iters=3357
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=15.000, iters=3334
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=14.000, iters=3368
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=13.000, iters=3335
% 36.66/36.96
% 36.66/36.96 Low Water (displace): id=7711, wt=48.000
% 36.66/36.96
% 36.66/36.96 Low Water (displace): id=14254, wt=10.000
% 36.66/36.96
% 36.66/36.96 Low Water (displace): id=14490, wt=8.000
% 36.66/36.96
% 36.66/36.96 Low Water (displace): id=16298, wt=5.000
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=12.000, iters=3337
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=11.000, iters=3335
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=10.000, iters=3335
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=9.000, iters=3333
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=8.000, iters=3333
% 36.66/36.96
% 36.66/36.96 Low Water (keep): wt=7.000, iters=3333
% 36.66/36.96
% 36.66/36.96 ============================== PROOF =================================
% 36.66/36.96 % SZS status Theorem
% 36.66/36.96 % SZS output start Refutation
% 36.66/36.96
% 36.66/36.96 % Proof 1 at 35.57 (+ 0.24) seconds.
% 36.66/36.96 % Length of proof is 258.
% 36.66/36.96 % Level of proof is 33.
% 36.66/36.96 % Maximum clause weight is 29.000.
% 36.66/36.96 % Given clauses 29089.
% 36.66/36.96
% 36.66/36.96 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 36.66/36.96 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 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].
% 36.66/36.96 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 36.66/36.96 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].
% 36.66/36.96 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 36.66/36.96 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 36.66/36.96 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].
% 36.66/36.96 95 -(all A all C all M all B all O all D all P all R all J all NWPNT1 (coll(M,A,C) & perp(A,C,M,B) & circle(O,A,C,B) & circle(O,B,D,NWPNT1) & coll(D,B,M) & midp(P,B,A) & midp(R,D,C) & coll(J,M,O) & coll(J,P,R) -> para(P,O,M,R))) # label(exemplo6GDDFULL416050) # label(negated_conjecture) # label(non_clause). [assumption].
% 36.66/36.96 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 36.66/36.96 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 36.66/36.96 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 36.66/36.96 109 circle(c5,c1,c2,c4) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 111 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 36.66/36.96 112 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 36.66/36.96 113 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 36.66/36.96 114 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 36.66/36.96 115 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 36.66/36.96 116 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(6)].
% 36.66/36.96 117 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 36.66/36.96 118 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 36.66/36.96 119 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 36.66/36.96 120 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 36.66/36.96 121 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 36.66/36.96 122 -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | cyclic(B,C,D,E) # label(ruleD13) # label(axiom). [clausify(13)].
% 36.66/36.96 123 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 36.66/36.96 124 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 36.66/36.96 125 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 36.66/36.96 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 36.66/36.96 132 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(23)].
% 36.66/36.96 133 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(24)].
% 36.66/36.96 134 -cong(A,B,C,D) | -cong(C,D,E,F) | cong(A,B,E,F) # label(ruleD25) # label(axiom). [clausify(25)].
% 36.66/36.96 150 -cyclic(A,B,C,D) | eqangle(C,A,C,B,D,A,D,B) # label(ruleD41) # label(axiom). [clausify(41)].
% 36.66/36.96 153 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 36.66/36.96 154 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 36.66/36.96 160 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 36.66/36.96 168 -midp(A,B,C) | -midp(A,D,E) | para(B,D,C,E) # label(ruleD63) # label(axiom). [clausify(64)].
% 36.66/36.96 169 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 36.66/36.96 171 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 36.66/36.96 172 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 36.66/36.96 173 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 36.66/36.96 174 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(70)].
% 36.66/36.96 210 coll(c3,c1,c2) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 211 perp(c1,c2,c3,c4) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 212 coll(c6,c4,c3) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 213 midp(c7,c4,c1) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 214 midp(c8,c6,c2) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 215 coll(c9,c3,c5) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 217 -para(c7,c5,c3,c8) # label(exemplo6GDDFULL416050) # label(negated_conjecture). [clausify(95)].
% 36.66/36.96 222 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 36.66/36.96 260 -coll(c5,c1,c4) | perp(c1,c2,c2,c4). [resolve(109,a,101,a)].
% 36.66/36.96 261 perp(f12(c1,c2,c4,c5),c1,c1,c5). [resolve(109,a,102,a)].
% 36.66/36.96 284 -coll(A,B,C) | coll(C,C,A). [factor(113,a,b)].
% 36.66/36.96 286 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,C,C,D). [factor(122,a,b)].
% 36.66/36.96 289 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(126,a,b)].
% 36.66/36.96 292 -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(153,b,c)].
% 36.66/36.96 297 -midp(A,B,C) | para(B,B,C,C). [factor(168,a,b)].
% 36.66/36.96 298 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(169,b,c)].
% 36.66/36.96 323 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(222,c,d)].
% 36.66/36.96 338 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(286,a,b)].
% 36.66/36.96 347 -coll(c3,c1,A) | coll(A,c2,c3). [resolve(210,a,113,b)].
% 36.66/36.96 362 -perp(A,B,c1,c2) | para(A,B,c3,c4). [resolve(211,a,119,b)].
% 36.66/36.96 363 -perp(c3,c4,A,B) | para(c1,c2,A,B). [resolve(211,a,119,a)].
% 36.66/36.96 364 perp(c3,c4,c1,c2). [resolve(211,a,118,a)].
% 36.66/36.96 380 coll(c7,c4,c1). [resolve(213,a,174,a)].
% 36.66/36.96 381 cong(c7,c4,c7,c1). [resolve(213,a,173,a)].
% 36.66/36.96 382 -midp(c7,A,B) | para(A,c4,B,c1). [resolve(213,a,168,b)].
% 36.66/36.96 386 midp(c7,c1,c4). [resolve(213,a,121,a)].
% 36.66/36.96 398 coll(c8,c6,c2). [resolve(214,a,174,a)].
% 36.66/36.96 399 cong(c8,c6,c8,c2). [resolve(214,a,173,a)].
% 36.66/36.96 400 -midp(c8,A,B) | para(A,c6,B,c2). [resolve(214,a,168,b)].
% 36.66/36.96 401 -midp(c8,A,B) | para(c6,A,c2,B). [resolve(214,a,168,a)].
% 36.66/36.96 402 -midp(A,c6,B) | para(A,c8,B,c2). [resolve(214,a,154,b)].
% 36.66/36.96 404 midp(c8,c2,c6). [resolve(214,a,121,a)].
% 36.66/36.96 407 -coll(c9,c3,A) | coll(c5,A,c9). [resolve(215,a,113,a)].
% 36.66/36.96 409 coll(c9,c5,c3). [resolve(215,a,111,a)].
% 36.66/36.96 434 -perp(A,B,f12(c1,c2,c4,c5),c1) | para(A,B,c1,c5). [resolve(261,a,119,b)].
% 36.66/36.96 436 perp(c1,c5,f12(c1,c2,c4,c5),c1). [resolve(261,a,118,a)].
% 36.66/36.96 465 coll(c5,c5,c9). [resolve(284,a,215,a)].
% 36.66/36.96 466 coll(c3,c3,c6). [resolve(284,a,212,a)].
% 36.66/36.96 467 coll(c2,c2,c3). [resolve(284,a,210,a)].
% 36.66/36.96 470 para(c6,c6,c2,c2). [resolve(297,a,214,a)].
% 36.66/36.96 498 coll(c1,c1,c7). [resolve(380,a,284,a)].
% 36.66/36.96 501 coll(c4,c7,c1). [resolve(380,a,112,a)].
% 36.66/36.96 502 coll(c7,c1,c4). [resolve(380,a,111,a)].
% 36.66/36.96 521 cong(c7,c1,c7,c4). [resolve(386,a,173,a)].
% 36.66/36.96 526 coll(c2,c2,c8). [resolve(398,a,284,a)].
% 36.66/36.96 529 coll(c6,c8,c2). [resolve(398,a,112,a)].
% 36.66/36.96 537 para(c2,c2,c6,c6). [resolve(404,a,297,a)].
% 36.66/36.96 549 cong(c8,c2,c8,c6). [resolve(404,a,173,a)].
% 36.66/36.96 550 -midp(c8,A,B) | para(A,c2,B,c6). [resolve(404,a,168,b)].
% 36.66/36.96 551 -midp(c8,A,B) | para(c2,A,c6,B). [resolve(404,a,168,a)].
% 36.66/36.96 560 -coll(c9,c5,A) | coll(c3,A,c9). [resolve(409,a,113,a)].
% 36.66/36.96 575 -coll(c5,c5,A) | coll(A,c9,c5). [resolve(465,a,113,b)].
% 36.66/36.96 578 coll(c6,c6,c3). [resolve(466,a,284,a)].
% 36.66/36.96 579 -coll(c3,c3,A) | coll(A,c6,c3). [resolve(466,a,113,b)].
% 36.66/36.96 583 -coll(c2,c2,A) | coll(A,c3,c2). [resolve(467,a,113,b)].
% 36.66/36.96 614 -coll(c1,c1,A) | coll(c7,A,c1). [resolve(498,a,113,a)].
% 36.66/36.96 615 coll(c1,c7,c1). [resolve(498,a,111,a)].
% 36.66/36.96 617 -coll(c4,c7,A) | coll(A,c1,c4). [resolve(501,a,113,b)].
% 36.66/36.96 623 -coll(c7,c1,A) | coll(c4,A,c7). [resolve(502,a,113,a)].
% 36.66/36.96 628 coll(c2,c8,c2). [resolve(526,a,111,a)].
% 36.66/36.96 629 coll(c2,c2,c6). [resolve(529,a,284,a)].
% 36.66/36.96 680 coll(c6,c3,c6). [resolve(578,a,111,a)].
% 36.66/36.96 727 coll(c7,c1,c1). [resolve(615,a,112,a)].
% 36.66/36.96 737 para(c1,c2,c1,c2). [resolve(364,a,363,a)].
% 36.66/36.96 763 coll(c8,c2,c2). [resolve(628,a,112,a)].
% 36.66/36.96 778 coll(c6,c6,c2). [resolve(629,a,284,a)].
% 36.66/36.96 846 coll(c3,c6,c6). [resolve(680,a,112,a)].
% 36.66/36.96 924 coll(c6,c2,c6). [resolve(778,a,111,a)].
% 36.66/36.96 1022 -cong(A,B,c7,c4) | cong(A,B,c7,c1). [resolve(381,a,134,b)].
% 36.66/36.96 1038 para(c1,c4,c4,c1). [resolve(382,a,386,a)].
% 36.66/36.96 1080 coll(c2,c6,c6). [resolve(924,a,112,a)].
% 36.66/36.96 1118 cyclic(c6,c2,c2,c2). [resolve(399,a,338,a)].
% 36.66/36.96 1187 -cong(A,B,c8,c6) | cong(A,B,c8,c2). [resolve(399,a,134,b)].
% 36.66/36.96 1188 -cong(c8,c2,A,B) | cong(c8,c6,A,B). [resolve(399,a,134,a)].
% 36.66/36.96 1233 -perp(c2,c2,A,B) | perp(c6,c6,A,B). [resolve(470,a,120,a)].
% 36.66/36.96 1234 -para(A,B,c6,c6) | para(A,B,c2,c2). [resolve(470,a,116,b)].
% 36.66/36.96 1235 -para(c2,c2,A,B) | para(c6,c6,A,B). [resolve(470,a,116,a)].
% 36.66/36.96 1372 -para(A,B,c2,c2) | para(A,B,c6,c6). [resolve(537,a,116,b)].
% 36.66/36.96 1373 -para(c6,c6,A,B) | para(c2,c2,A,B). [resolve(537,a,116,a)].
% 36.66/36.96 1398 cyclic(c2,c6,c6,c6). [resolve(549,a,338,a)].
% 36.66/36.96 1485 para(c1,c2,c2,c1). [resolve(737,a,114,a)].
% 36.66/36.96 1601 para(c1,c4,c1,c4). [resolve(1038,a,114,a)].
% 36.66/36.96 1637 cyclic(c2,c6,c2,c2). [resolve(1118,a,125,a)].
% 36.66/36.96 1769 para(c2,c6,c6,c2). [resolve(400,a,404,a)].
% 36.66/36.96 1799 eqangle(c6,c2,c6,c6,c6,c2,c6,c6). [resolve(1398,a,150,a)].
% 36.66/36.96 1853 para(c2,c1,c1,c2). [resolve(1485,a,115,a)].
% 36.66/36.96 1968 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(1601,a,298,b)].
% 36.66/36.96 2027 cyclic(c2,c2,c6,c2). [resolve(1637,a,124,a)].
% 36.66/36.96 2113 para(c2,c6,c2,c6). [resolve(1769,a,114,a)].
% 36.66/36.96 2199 para(c2,c1,c2,c1). [resolve(1853,a,114,a)].
% 36.66/36.96 2284 cyclic(c2,c2,c2,c6). [resolve(2027,a,123,a)].
% 36.66/36.96 2356 -midp(A,c2,c2) | midp(A,c6,c6). [resolve(2113,a,298,b)].
% 36.66/36.96 2423 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(2199,a,298,b)].
% 36.66/36.96 2489 cyclic(c2,c2,c6,c6). [resolve(2284,a,289,a)].
% 36.66/36.96 2684 cyclic(c2,c6,c2,c6). [resolve(2489,a,124,a)].
% 36.66/36.96 2800 cyclic(c2,c6,c6,c2). [resolve(2684,a,123,a)].
% 36.66/36.96 3011 para(c1,c5,c1,c5). [resolve(436,a,434,a)].
% 36.66/36.96 3149 -midp(A,c1,c1) | midp(A,c5,c5). [resolve(3011,a,298,b)].
% 36.66/36.96 3156 coll(c1,c5,c5). [resolve(3011,a,171,a)].
% 36.66/36.96 3161 coll(c5,c5,c1). [resolve(3156,a,284,a)].
% 36.66/36.96 3171 coll(c1,c1,c5). [resolve(3161,a,284,a)].
% 36.66/36.96 3236 coll(c1,c9,c5). [resolve(575,a,3161,a)].
% 36.66/36.96 3239 coll(c9,c1,c5). [resolve(3236,a,112,a)].
% 36.66/36.96 3243 coll(c9,c5,c1). [resolve(3239,a,111,a)].
% 36.66/36.96 3248 coll(c3,c1,c9). [resolve(3243,a,560,a)].
% 36.66/36.96 3264 coll(c9,c2,c3). [resolve(3248,a,347,a)].
% 36.66/36.96 3290 coll(c9,c3,c2). [resolve(3264,a,111,a)].
% 36.66/36.96 3313 coll(c5,c2,c9). [resolve(3290,a,407,a)].
% 36.66/36.96 3348 coll(c5,c9,c2). [resolve(3313,a,111,a)].
% 36.66/36.96 3376 coll(c2,c2,c5). [resolve(3348,a,284,a)].
% 36.66/36.96 3410 coll(c2,c5,c2). [resolve(3376,a,111,a)].
% 36.66/36.96 3444 coll(c5,c2,c2). [resolve(3410,a,112,a)].
% 36.66/36.96 4416 coll(c8,c3,c2). [resolve(583,a,526,a)].
% 36.66/36.96 4424 coll(c8,c2,c3). [resolve(4416,a,111,a)].
% 36.66/36.96 4439 coll(c3,c3,c8). [resolve(4424,a,284,a)].
% 36.66/36.96 4471 coll(c8,c6,c3). [resolve(4439,a,579,a)].
% 36.66/36.96 4891 coll(c7,c5,c1). [resolve(614,a,3171,a)].
% 36.66/36.96 4988 coll(c7,c1,c5). [resolve(4891,a,111,a)].
% 36.66/36.96 5082 coll(c4,c5,c7). [resolve(4988,a,623,a)].
% 36.66/36.96 5182 coll(c4,c7,c5). [resolve(5082,a,111,a)].
% 36.66/36.96 5267 coll(c5,c1,c4). [resolve(5182,a,617,a)].
% 36.66/36.96 5271 perp(c1,c2,c2,c4). [back_unit_del(260),unit_del(a,5267)].
% 36.66/36.96 5420 perp(c2,c4,c1,c2). [resolve(5271,a,118,a)].
% 36.66/36.96 5421 perp(c1,c2,c4,c2). [resolve(5271,a,117,a)].
% 36.66/36.96 5422 para(c2,c4,c3,c4). [resolve(5420,a,362,a)].
% 36.66/36.96 5450 perp(c4,c2,c1,c2). [resolve(5421,a,118,a)].
% 36.66/36.96 5475 para(c2,c4,c4,c3). [resolve(5422,a,114,a)].
% 36.66/36.96 5488 para(c4,c2,c3,c4). [resolve(5450,a,362,a)].
% 36.66/36.96 5529 para(c4,c3,c2,c4). [resolve(5475,a,115,a)].
% 36.66/36.96 5558 para(c4,c2,c4,c3). [resolve(5488,a,114,a)].
% 36.66/36.96 5616 para(c4,c3,c4,c2). [resolve(5529,a,114,a)].
% 36.66/36.96 5639 -midp(A,c4,c4) | midp(A,c3,c2). [resolve(5558,a,169,c),unit_del(b,5616)].
% 36.66/36.96 7344 cong(c7,c1,c7,c1). [resolve(1022,a,521,a)].
% 36.66/36.96 7426 midp(c7,c1,c1). [resolve(7344,a,172,a),unit_del(a,727)].
% 36.66/36.96 7448 midp(c7,c4,c4). [resolve(7426,a,1968,a)].
% 36.66/36.96 10183 cong(c8,c2,c8,c2). [resolve(1187,a,549,a)].
% 36.66/36.96 10208 midp(c8,c2,c2). [resolve(10183,a,172,a),unit_del(a,763)].
% 36.66/36.96 10215 midp(c8,c1,c1). [resolve(10208,a,2423,a)].
% 36.66/36.96 10216 midp(c8,c6,c6). [resolve(10208,a,2356,a)].
% 36.66/36.96 10282 midp(c8,c5,c5). [resolve(10215,a,3149,a)].
% 36.66/36.96 10283 midp(c8,c4,c4). [resolve(10215,a,1968,a)].
% 36.66/36.96 10355 para(c6,c2,c6,c6). [resolve(10216,a,550,a)].
% 36.66/36.96 10378 para(c6,c6,c6,c2). [resolve(10216,a,400,a)].
% 36.66/36.96 10416 para(c2,c5,c6,c5). [resolve(10282,a,551,a)].
% 36.66/36.96 10908 -midp(A,c6,c6) | midp(A,c6,c2). [resolve(10355,a,169,c),unit_del(b,10378)].
% 36.66/36.96 10909 -midp(A,c6,c6) | midp(A,c2,c6). [resolve(10355,a,169,b),unit_del(b,10378)].
% 36.66/36.96 10932 -midp(A,c2,c6) | midp(A,c5,c5). [resolve(10416,a,298,b)].
% 36.66/36.96 12516 midp(c8,c3,c2). [resolve(5639,a,10283,a)].
% 36.66/36.96 12517 midp(c7,c3,c2). [resolve(5639,a,7448,a)].
% 36.66/36.96 12543 para(c6,c3,c2,c2). [resolve(12516,a,401,a)].
% 36.66/36.96 12574 cong(c8,c3,c8,c2). [resolve(12516,a,173,a)].
% 36.66/36.96 12579 midp(c8,c2,c3). [resolve(12516,a,121,a)].
% 36.66/36.96 12656 midp(c7,c2,c3). [resolve(12517,a,121,a)].
% 36.66/36.96 12659 para(c2,c2,c6,c3). [resolve(12579,a,551,a)].
% 36.66/36.96 12712 cong(c8,c2,c8,c3). [resolve(12579,a,173,a)].
% 36.66/36.96 12776 -midp(A,c2,B) | para(c7,A,c3,B). [resolve(12656,a,154,a)].
% 36.66/36.96 12793 para(c6,c3,c6,c6). [resolve(12543,a,1372,a)].
% 36.66/36.96 12809 perp(c3,c2,c2,c2). [resolve(12574,a,323,c),unit_del(a,4416)].
% 36.66/36.96 12896 para(c6,c6,c6,c3). [resolve(12659,a,1235,a)].
% 36.66/36.96 12922 cong(c8,c6,c8,c3). [resolve(12712,a,1188,a)].
% 36.66/36.96 13016 -midp(A,c6,c6) | midp(A,c6,c3). [resolve(12793,a,169,c),unit_del(b,12896)].
% 36.66/36.96 13055 perp(c2,c2,c3,c2). [resolve(12809,a,118,a)].
% 36.66/36.96 13163 midp(c8,c6,c3). [resolve(12922,a,172,a),unit_del(a,4471)].
% 36.66/36.96 13193 para(c6,c6,c2,c3). [resolve(13163,a,401,a)].
% 36.66/36.96 13226 midp(c8,c3,c6). [resolve(13163,a,121,a)].
% 36.66/36.96 13227 para(c2,c3,c6,c6). [resolve(13226,a,551,a)].
% 36.66/36.96 13371 perp(c6,c6,c3,c2). [resolve(13055,a,1233,a)].
% 36.66/36.96 13516 para(c2,c2,c2,c3). [resolve(13193,a,1373,a)].
% 36.66/36.96 13530 para(c2,c3,c2,c2). [resolve(13227,a,1234,a)].
% 36.66/36.96 13599 perp(c3,c2,c6,c6). [resolve(13371,a,118,a)].
% 36.66/36.96 13792 -midp(A,c2,c2) | midp(A,c3,c2). [resolve(13516,a,169,c),unit_del(b,13530)].
% 36.66/36.96 13864 -midp(c2,c6,c6) | cong(c3,c6,c3,c6). [resolve(13599,a,160,b)].
% 36.66/36.96 19580 cong(c2,c6,c2,c6). [resolve(1799,a,292,c),unit_del(a,2800),unit_del(b,1398)].
% 36.66/36.96 19598 midp(c2,c6,c6). [resolve(19580,a,172,a),unit_del(a,1080)].
% 36.66/36.96 19603 cong(c3,c6,c3,c6). [back_unit_del(13864),unit_del(a,19598)].
% 36.66/36.96 19619 midp(c2,c6,c3). [resolve(19598,a,13016,a)].
% 36.66/36.96 19620 midp(c2,c2,c6). [resolve(19598,a,10909,a)].
% 36.66/36.96 19795 para(c2,c8,c3,c2). [resolve(19619,a,402,a)].
% 36.66/36.96 19814 midp(c2,c5,c5). [resolve(19620,a,10932,a)].
% 36.66/36.96 20041 cong(c2,c5,c2,c5). [resolve(19814,a,173,a)].
% 36.66/36.96 20082 midp(c3,c6,c6). [resolve(19603,a,172,a),unit_del(a,846)].
% 36.66/36.96 20092 midp(c3,c6,c2). [resolve(20082,a,10908,a)].
% 36.66/36.96 20348 para(c3,c8,c2,c2). [resolve(20092,a,402,a)].
% 36.66/36.96 21002 para(c3,c2,c2,c8). [resolve(19795,a,115,a)].
% 36.66/36.96 21092 cong(c2,c5,c5,c2). [resolve(20041,a,132,a)].
% 36.66/36.96 21161 -midp(A,c3,c2) | midp(A,c2,c8). [resolve(20348,a,169,c),unit_del(b,21002)].
% 36.66/36.96 21539 cong(c5,c2,c2,c5). [resolve(21092,a,133,a)].
% 36.66/36.96 22883 cong(c5,c2,c5,c2). [resolve(21539,a,132,a)].
% 36.66/36.96 23593 midp(c5,c2,c2). [resolve(22883,a,172,a),unit_del(a,3444)].
% 36.66/36.96 23596 midp(c5,c3,c2). [resolve(23593,a,13792,a)].
% 36.66/36.96 56057 midp(c5,c2,c8). [resolve(21161,a,23596,a)].
% 36.66/36.96 56079 $F. [resolve(56057,a,12776,a),unit_del(a,217)].
% 36.66/36.96
% 36.66/36.96 % SZS output end Refutation
% 36.66/36.96 ============================== end of proof ==========================
% 36.66/36.96
% 36.66/36.96 ============================== STATISTICS ============================
% 36.66/36.96
% 36.66/36.96 Given=29089. Generated=435851. Kept=55952. proofs=1.
% 36.66/36.96 Usable=27147. Sos=6094. Demods=0. Limbo=1, Disabled=22883. Hints=0.
% 36.66/36.96 Megabytes=25.98.
% 36.66/36.96 User_CPU=35.58, System_CPU=0.24, Wall_clock=36.
% 36.66/36.96
% 36.66/36.96 ============================== end of statistics =====================
% 36.66/36.96
% 36.66/36.96 ============================== end of search =========================
% 36.66/36.96
% 36.66/36.96 THEOREM PROVED
% 36.66/36.96 % SZS status Theorem
% 36.66/36.96
% 36.66/36.96 Exiting with 1 proof.
% 36.66/36.96
% 36.66/36.96 Process 6244 exit (max_proofs) Fri Jun 17 15:43:50 2022
% 36.66/36.96 Prover9 interrupted
%------------------------------------------------------------------------------