TSTP Solution File: GEO556+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 05:56:56 EDT 2022
% Result : Theorem 10.53s 10.82s
% Output : Refutation 10.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 10:11:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.22 ============================== Prover9 ===============================
% 0.92/1.22 Prover9 (32) version 2009-11A, November 2009.
% 0.92/1.22 Process 31230 was started by sandbox2 on n020.cluster.edu,
% 0.92/1.22 Sat Jun 18 10:11:19 2022
% 0.92/1.22 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31077_n020.cluster.edu".
% 0.92/1.22 ============================== end of head ===========================
% 0.92/1.22
% 0.92/1.22 ============================== INPUT =================================
% 0.92/1.22
% 0.92/1.22 % Reading from file /tmp/Prover9_31077_n020.cluster.edu
% 0.92/1.22
% 0.92/1.22 set(prolog_style_variables).
% 0.92/1.22 set(auto2).
% 0.92/1.22 % set(auto2) -> set(auto).
% 0.92/1.22 % set(auto) -> set(auto_inference).
% 0.92/1.22 % set(auto) -> set(auto_setup).
% 0.92/1.22 % set(auto_setup) -> set(predicate_elim).
% 0.92/1.22 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.92/1.22 % set(auto) -> set(auto_limits).
% 0.92/1.22 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.92/1.22 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.92/1.22 % set(auto) -> set(auto_denials).
% 0.92/1.22 % set(auto) -> set(auto_process).
% 0.92/1.22 % set(auto2) -> assign(new_constants, 1).
% 0.92/1.22 % set(auto2) -> assign(fold_denial_max, 3).
% 0.92/1.22 % set(auto2) -> assign(max_weight, "200.000").
% 0.92/1.22 % set(auto2) -> assign(max_hours, 1).
% 0.92/1.22 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.92/1.22 % set(auto2) -> assign(max_seconds, 0).
% 0.92/1.22 % set(auto2) -> assign(max_minutes, 5).
% 0.92/1.22 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.92/1.22 % set(auto2) -> set(sort_initial_sos).
% 0.92/1.22 % set(auto2) -> assign(sos_limit, -1).
% 0.92/1.22 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.92/1.22 % set(auto2) -> assign(max_megs, 400).
% 0.92/1.22 % set(auto2) -> assign(stats, some).
% 0.92/1.22 % set(auto2) -> clear(echo_input).
% 0.92/1.22 % set(auto2) -> set(quiet).
% 0.92/1.22 % set(auto2) -> clear(print_initial_clauses).
% 0.92/1.22 % set(auto2) -> clear(print_given).
% 0.92/1.22 assign(lrs_ticks,-1).
% 0.92/1.22 assign(sos_limit,10000).
% 0.92/1.22 assign(order,kbo).
% 0.92/1.22 set(lex_order_vars).
% 0.92/1.22 clear(print_given).
% 0.92/1.22
% 0.92/1.22 % formulas(sos). % not echoed (95 formulas)
% 0.92/1.22
% 0.92/1.22 ============================== end of input ==========================
% 0.92/1.22
% 0.92/1.22 % From the command line: assign(max_seconds, 300).
% 0.92/1.22
% 0.92/1.22 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.92/1.22
% 0.92/1.22 % Formulas that are not ordinary clauses:
% 0.92/1.22 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.22 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.22 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].
% 0.92/1.23 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].
% 0.92/1.23 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.23 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].
% 0.92/1.23 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.23 70 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 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].
% 0.92/1.23 95 -(all A all B all O all M all P all Q all D all C all T all K all S (coll(M,A,B) & perp(P,M,A,O) & coll(P,A,O) & perp(Q,M,B,O) & coll(Q,B,O) & perp(D,B,A,O) & coll(D,A,O) & perp(C,A,B,O) & coll(C,B,O) & perp(T,Q,A,O) & coll(T,A,O) & perp(K,P,B,O) & coll(K,B,O) & coll(S,Q,T) & coll(S,P,K) -> perp(O,S,P,Q))) # label(exemplo6GDDFULL012016) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.92/1.23
% 0.92/1.23 ============================== end of process non-clausal formulas ===
% 0.92/1.23
% 0.92/1.23 ============================== PROCESS INITIAL CLAUSES ===============
% 0.92/1.23
% 0.92/1.23 ============================== PREDICATE ELIMINATION =================
% 0.92/1.23 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)].
% 0.92/1.23 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 0.92/1.23 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)].
% 0.92/1.23 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)].
% 0.92/1.23 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)].
% 0.92/1.23 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)].
% 0.92/1.23 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)].
% 0.92/1.23 100 -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)].
% 0.92/1.23 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)].
% 0.92/1.23 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 0.92/1.23 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)].
% 0.92/1.23 102 -circle(A,B,C,D) | perp(f12(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(87)].
% 0.92/1.23 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)].
% 0.92/1.23 103 -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)].
% 0.92/1.23 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)].
% 0.92/1.23 104 -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)].
% 0.92/1.23 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)].
% 0.92/1.23 105 -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)].
% 0.92/1.23 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)].
% 0.92/1.23 106 -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)].
% 0.92/1.23 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)].
% 0.96/1.25 107 -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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 108 -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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25 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)].
% 0.96/1.25
% 0.96/1.25 ============================== end predicate elimination =============
% 0.96/1.25
% 0.96/1.25 Auto_denials: (non-Horn, no changes).
% 0.96/1.25
% 0.96/1.25 Term ordering decisions:
% 0.96/1.25 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. 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.
% 0.96/1.25
% 0.96/1.25 ============================== end of process initial clauses ========
% 0.96/1.25
% 0.96/1.25 ============================== CLAUSES FOR SEARCH ====================
% 0.96/1.25
% 0.96/1.25 ============================== end of clauses for search =============
% 10.53/10.81
% 10.53/10.81 ============================== SEARCH ================================
% 10.53/10.81
% 10.53/10.81 % Starting search at 0.04 seconds.
% 10.53/10.81
% 10.53/10.81 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.14 sec).
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=53.000, iters=3343
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=52.000, iters=3341
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=48.000, iters=3339
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=47.000, iters=3359
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=28.000, iters=3412
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=26.000, iters=3339
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=24.000, iters=3503
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=23.000, iters=3350
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=22.000, iters=3434
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=19.000, iters=3345
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=18.000, iters=3335
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=17.000, iters=3346
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=15.000, iters=3347
% 10.53/10.81
% 10.53/10.81 Low Water (keep): wt=14.000, iters=3338
% 10.53/10.81
% 10.53/10.81 Low Water (displace): id=10932, wt=53.000
% 10.53/10.81
% 10.53/10.81 Low Water (displace): id=11106, wt=52.000
% 10.53/10.81
% 10.53/10.81 Low Water (displace): id=11126, wt=48.000
% 10.53/10.81
% 10.53/10.81 Low Water (displace): id=11473, wt=47.000
% 10.53/10.81
% 10.53/10.81 Low Water (displace): id=11099, wt=45.000
% 10.53/10.81
% 10.53/10.82 Low Water (displace): id=11100, wt=44.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=11554, wt=40.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=11553, wt=39.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=11109, wt=32.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=12092, wt=29.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=12096, wt=28.000
% 10.53/10.82
% 10.53/10.82 Low Water (keep): wt=13.000, iters=3339
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=12340, wt=27.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=12438, wt=26.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=12202, wt=24.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=18492, wt=10.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=18564, wt=9.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=19573, wt=8.000
% 10.53/10.82
% 10.53/10.82 Low Water (keep): wt=12.000, iters=3335
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=20467, wt=7.000
% 10.53/10.82
% 10.53/10.82 Low Water (displace): id=20608, wt=5.000
% 10.53/10.82
% 10.53/10.82 Low Water (keep): wt=11.000, iters=3506
% 10.53/10.82
% 10.53/10.82 Low Water (keep): wt=10.000, iters=3336
% 10.53/10.82
% 10.53/10.82 Low Water (keep): wt=9.000, iters=3333
% 10.53/10.82
% 10.53/10.82 ============================== PROOF =================================
% 10.53/10.82 % SZS status Theorem
% 10.53/10.82 % SZS output start Refutation
% 10.53/10.82
% 10.53/10.82 % Proof 1 at 9.49 (+ 0.12) seconds.
% 10.53/10.82 % Length of proof is 229.
% 10.53/10.82 % Level of proof is 28.
% 10.53/10.82 % Maximum clause weight is 29.000.
% 10.53/10.82 % Given clauses 15121.
% 10.53/10.82
% 10.53/10.82 1 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 2 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 3 (all A all B all C all D (coll(A,B,C) & coll(A,B,D) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 4 (all A all B all C all D (para(A,B,C,D) -> para(A,B,D,C))) # label(ruleD4) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 5 (all A all B all C all D (para(A,B,C,D) -> para(C,D,A,B))) # label(ruleD5) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 7 (all A all B all C all D (perp(A,B,C,D) -> perp(A,B,D,C))) # label(ruleD7) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 8 (all A all B all C all D (perp(A,B,C,D) -> perp(C,D,A,B))) # label(ruleD8) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 9 (all A all B all C all D all E all F (perp(A,B,C,D) & perp(C,D,E,F) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 10 (all A all B all C all D all E all F (para(A,B,C,D) & perp(C,D,E,F) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 11 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 12 (all A all B all C all O (cong(O,A,O,B) & cong(O,A,O,C) -> circle(O,A,B,C))) # label(ruleD12) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 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].
% 10.53/10.82 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].
% 10.53/10.82 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].
% 10.53/10.82 17 (all A all B all C all D all E (cyclic(A,B,C,D) & cyclic(A,B,C,E) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 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].
% 10.53/10.82 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].
% 10.53/10.82 40 (all A all B all C all D all P all Q (para(A,B,C,D) -> eqangle(A,B,P,Q,C,D,P,Q))) # label(ruleD40) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 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].
% 10.53/10.82 44 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & cyclic(A,B,C,Q) & cyclic(A,B,C,R) & eqangle(C,A,C,B,R,P,R,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 45 (all A all B all C all E all F (midp(E,A,B) & midp(F,A,C) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 46 (all A all B all C all E all F (midp(E,A,B) & para(E,F,B,C) & coll(F,A,C) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 54 (all A all B all C all O (circle(O,A,B,C) & coll(O,A,C) -> perp(A,B,B,C))) # label(ruleD53) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 56 (all A all B all M all O (midp(M,A,B) & perp(O,M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 57 (all A all B all P all Q (cong(A,P,B,P) & cong(A,Q,B,Q) -> perp(A,B,P,Q))) # label(ruleD56) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 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].
% 10.53/10.82 65 (all A all B all C all D all M (midp(M,A,B) & para(A,C,B,D) & para(A,D,B,C) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 67 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 68 (all A all B all C (cong(A,B,A,C) & coll(A,B,C) -> midp(A,B,C))) # label(ruleD67) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 69 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption].
% 10.53/10.82 95 -(all A all B all O all M all P all Q all D all C all T all K all S (coll(M,A,B) & perp(P,M,A,O) & coll(P,A,O) & perp(Q,M,B,O) & coll(Q,B,O) & perp(D,B,A,O) & coll(D,A,O) & perp(C,A,B,O) & coll(C,B,O) & perp(T,Q,A,O) & coll(T,A,O) & perp(K,P,B,O) & coll(K,B,O) & coll(S,Q,T) & coll(S,P,K) -> perp(O,S,P,Q))) # label(exemplo6GDDFULL012016) # label(negated_conjecture) # label(non_clause). [assumption].
% 10.53/10.82 97 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(12)].
% 10.53/10.82 101 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(54)].
% 10.53/10.82 109 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(1)].
% 10.53/10.82 110 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(2)].
% 10.53/10.82 111 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(3)].
% 10.53/10.82 112 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(4)].
% 10.53/10.82 113 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(5)].
% 10.53/10.82 115 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(7)].
% 10.53/10.82 116 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(8)].
% 10.53/10.82 117 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(9)].
% 10.53/10.82 118 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(10)].
% 10.53/10.82 119 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(11)].
% 10.53/10.82 121 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(14)].
% 10.53/10.82 122 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(15)].
% 10.53/10.82 123 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(16)].
% 10.53/10.82 124 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(17)].
% 10.53/10.82 126 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(19)].
% 10.53/10.82 146 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(39)].
% 10.53/10.82 147 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(40)].
% 10.53/10.82 150 -eqangle(A,B,A,C,D,B,D,C) | -coll(A,D,C) | cyclic(B,C,A,D) # label(ruleD42b) # label(axiom). [clausify(43)].
% 10.53/10.82 151 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -cyclic(A,B,C,F) | -eqangle(C,A,C,B,F,D,F,E) | cong(A,B,D,E) # label(ruleD43) # label(axiom). [clausify(44)].
% 10.53/10.82 152 -midp(A,B,C) | -midp(D,B,E) | para(A,D,C,E) # label(ruleD44) # label(axiom). [clausify(45)].
% 10.53/10.82 153 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(46)].
% 10.53/10.82 158 -midp(A,B,C) | -perp(D,A,B,C) | cong(D,B,D,C) # label(ruleD55) # label(axiom). [clausify(56)].
% 10.53/10.82 159 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(57)].
% 10.53/10.82 160 -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)].
% 10.53/10.82 167 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,D,E) # label(ruleD64) # label(axiom). [clausify(65)].
% 10.53/10.82 169 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(67)].
% 10.53/10.82 170 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(68)].
% 10.53/10.82 171 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(69)].
% 10.53/10.82 208 coll(c4,c1,c2) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 209 perp(c5,c4,c1,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 210 coll(c5,c1,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 211 perp(c6,c4,c2,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 212 coll(c6,c2,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 217 perp(c9,c6,c1,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 218 coll(c9,c1,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 219 perp(c10,c5,c2,c3) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 221 coll(c11,c6,c9) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 222 coll(c11,c5,c10) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 223 -perp(c3,c11,c5,c6) # label(exemplo6GDDFULL012016) # label(negated_conjecture). [clausify(95)].
% 10.53/10.82 228 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(101,a,97,c)].
% 10.53/10.82 262 -coll(A,B,C) | coll(C,C,A). [factor(111,a,b)].
% 10.53/10.82 267 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(124,a,b)].
% 10.53/10.82 268 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | -eqangle(C,A,C,B,E,D,E,D) | cong(A,B,D,D). [factor(151,a,b)].
% 10.53/10.82 270 -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(151,b,c)].
% 10.53/10.82 271 -midp(A,B,C) | para(A,A,C,C). [factor(152,a,b)].
% 10.53/10.82 276 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(167,b,c)].
% 10.53/10.82 301 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(228,c,d)].
% 10.53/10.82 328 coll(c4,c2,c1). [resolve(208,a,109,a)].
% 10.53/10.82 341 -perp(c1,c3,A,B) | para(c5,c4,A,B). [resolve(209,a,117,a)].
% 10.53/10.82 342 perp(c1,c3,c5,c4). [resolve(209,a,116,a)].
% 10.53/10.82 360 -perp(c2,c3,A,B) | para(c6,c4,A,B). [resolve(211,a,117,a)].
% 10.53/10.82 361 perp(c2,c3,c6,c4). [resolve(211,a,116,a)].
% 10.53/10.82 417 -perp(c1,c3,A,B) | para(c9,c6,A,B). [resolve(217,a,117,a)].
% 10.53/10.82 418 perp(c1,c3,c9,c6). [resolve(217,a,116,a)].
% 10.53/10.82 423 coll(c9,c3,c1). [resolve(218,a,109,a)].
% 10.53/10.82 436 -perp(c2,c3,A,B) | para(c10,c5,A,B). [resolve(219,a,117,a)].
% 10.53/10.82 437 perp(c2,c3,c10,c5). [resolve(219,a,116,a)].
% 10.53/10.82 445 coll(c6,c11,c9). [resolve(221,a,110,a)].
% 10.53/10.82 449 coll(c5,c11,c10). [resolve(222,a,110,a)].
% 10.53/10.82 450 coll(c11,c10,c5). [resolve(222,a,109,a)].
% 10.53/10.82 454 coll(c3,c3,c9). [resolve(262,a,218,a)].
% 10.53/10.82 457 coll(c3,c3,c6). [resolve(262,a,212,a)].
% 10.53/10.82 458 coll(c3,c3,c5). [resolve(262,a,210,a)].
% 10.53/10.82 464 coll(c1,c1,c4). [resolve(328,a,262,a)].
% 10.53/10.82 501 coll(c1,c1,c9). [resolve(423,a,262,a)].
% 10.53/10.82 512 coll(c9,c9,c6). [resolve(445,a,262,a)].
% 10.53/10.82 520 coll(c10,c10,c5). [resolve(449,a,262,a)].
% 10.53/10.82 524 coll(c5,c5,c11). [resolve(450,a,262,a)].
% 10.53/10.82 542 -coll(c3,c3,A) | coll(c9,A,c3). [resolve(454,a,111,a)].
% 10.53/10.82 554 -coll(c3,c3,A) | coll(c6,A,c3). [resolve(457,a,111,a)].
% 10.53/10.82 573 -coll(c1,c1,A) | coll(c4,A,c1). [resolve(464,a,111,a)].
% 10.53/10.82 639 coll(c6,c6,c9). [resolve(512,a,262,a)].
% 10.53/10.82 640 -coll(c9,c9,A) | coll(A,c6,c9). [resolve(512,a,111,b)].
% 10.53/10.82 652 coll(c5,c5,c10). [resolve(520,a,262,a)].
% 10.53/10.82 662 coll(c5,c11,c5). [resolve(524,a,109,a)].
% 10.53/10.82 668 para(c5,c4,c5,c4). [resolve(342,a,341,a)].
% 10.53/10.82 683 perp(c1,c3,c4,c5). [resolve(342,a,115,a)].
% 10.53/10.82 828 -coll(c6,c6,A) | coll(A,c9,c6). [resolve(639,a,111,b)].
% 10.53/10.82 845 coll(c5,c10,c5). [resolve(652,a,109,a)].
% 10.53/10.82 854 coll(c5,c5,c5). [resolve(662,a,262,a)].
% 10.53/10.82 892 para(c6,c4,c6,c4). [resolve(361,a,360,a)].
% 10.53/10.82 1005 coll(c10,c5,c5). [resolve(845,a,110,a)].
% 10.53/10.82 1125 para(c5,c4,c9,c6). [resolve(418,a,341,a)].
% 10.53/10.82 1139 perp(c1,c3,c6,c9). [resolve(418,a,115,a)].
% 10.53/10.82 1168 perp(c2,c3,c5,c10). [resolve(437,a,115,a)].
% 10.53/10.82 1185 -midp(A,c5,c5) | midp(A,c4,c4). [resolve(668,a,276,b)].
% 10.53/10.82 1192 coll(c5,c4,c4). [resolve(668,a,169,a)].
% 10.53/10.82 1195 eqangle(c5,c4,A,B,c5,c4,A,B). [resolve(668,a,147,a)].
% 10.53/10.82 1196 para(c5,c4,c4,c5). [resolve(668,a,112,a)].
% 10.53/10.82 1197 coll(c4,c4,c5). [resolve(1192,a,262,a)].
% 10.53/10.82 1203 coll(c5,c5,c4). [resolve(1197,a,262,a)].
% 10.53/10.82 1242 -perp(c4,c5,A,B) | para(c1,c3,A,B). [resolve(683,a,117,a)].
% 10.53/10.82 1268 coll(c6,c4,c4). [resolve(892,a,169,a)].
% 10.53/10.82 1272 para(c6,c4,c4,c6). [resolve(892,a,112,a)].
% 10.53/10.82 1273 coll(c4,c4,c6). [resolve(1268,a,262,a)].
% 10.53/10.82 1279 coll(c6,c6,c4). [resolve(1273,a,262,a)].
% 10.53/10.82 1503 -midp(c5,A,c9) | -coll(c4,A,c6) | midp(c4,A,c6). [resolve(1125,a,153,b)].
% 10.53/10.82 1522 -perp(c6,c9,A,B) | para(c1,c3,A,B). [resolve(1139,a,117,a)].
% 10.53/10.82 1599 para(c4,c5,c5,c4). [resolve(1196,a,113,a)].
% 10.53/10.82 1690 para(c4,c6,c6,c4). [resolve(1272,a,113,a)].
% 10.53/10.82 2045 para(c4,c5,c4,c5). [resolve(1599,a,112,a)].
% 10.53/10.82 2103 para(c4,c6,c4,c6). [resolve(1690,a,112,a)].
% 10.53/10.82 2445 eqangle(c4,c5,A,B,c4,c5,A,B). [resolve(2045,a,147,a)].
% 10.53/10.82 2464 -midp(A,c4,c4) | midp(A,c6,c6). [resolve(2103,a,276,b)].
% 10.53/10.82 2569 para(c9,c6,c6,c9). [resolve(417,a,1139,a)].
% 10.53/10.82 2763 para(c6,c9,c9,c6). [resolve(2569,a,113,a)].
% 10.53/10.82 2871 para(c6,c9,c6,c9). [resolve(2763,a,112,a)].
% 10.53/10.82 2874 -midp(A,c6,c6) | midp(A,c9,c9). [resolve(2871,a,276,b)].
% 10.53/10.82 2884 para(c10,c5,c5,c10). [resolve(436,a,1168,a)].
% 10.53/10.82 2901 para(c5,c10,c10,c5). [resolve(2884,a,113,a)].
% 10.53/10.82 2929 para(c5,c10,c5,c10). [resolve(2901,a,112,a)].
% 10.53/10.82 2932 -midp(A,c5,c5) | midp(A,c10,c10). [resolve(2929,a,276,b)].
% 10.53/10.82 3055 coll(c9,c5,c3). [resolve(542,a,458,a)].
% 10.53/10.82 3159 coll(c6,c5,c3). [resolve(554,a,458,a)].
% 10.53/10.82 3201 coll(c9,c3,c5). [resolve(3055,a,109,a)].
% 10.53/10.82 3332 coll(c4,c9,c1). [resolve(573,a,501,a)].
% 10.53/10.82 3448 coll(c6,c3,c5). [resolve(3159,a,109,a)].
% 10.53/10.82 3525 coll(c5,c5,c9). [resolve(3201,a,262,a)].
% 10.53/10.82 3805 coll(c4,c1,c9). [resolve(3332,a,109,a)].
% 10.53/10.82 4000 coll(c5,c5,c6). [resolve(3448,a,262,a)].
% 10.53/10.82 4137 coll(c5,c9,c5). [resolve(3525,a,109,a)].
% 10.53/10.82 4510 coll(c9,c9,c4). [resolve(3805,a,262,a)].
% 10.53/10.82 4848 coll(c9,c5,c5). [resolve(4137,a,110,a)].
% 10.53/10.82 5148 coll(c4,c6,c9). [resolve(4510,a,640,a)].
% 10.53/10.82 5445 coll(c4,c9,c6). [resolve(828,a,1279,a)].
% 10.53/10.82 6223 -coll(c5,c5,A) | cyclic(c4,A,c5,c5). [resolve(1195,a,150,a)].
% 10.53/10.82 6225 eqangle(A,B,c5,c4,A,B,c5,c4). [resolve(1195,a,126,a)].
% 10.53/10.82 8225 -cyclic(c5,c4,c4,c5) | -cyclic(c5,c4,c4,c4) | cong(c5,c4,c5,c4). [resolve(2445,a,270,c)].
% 10.53/10.82 8226 -cyclic(c5,c5,c4,c5) | -cyclic(c5,c5,c4,c4) | cong(c5,c5,c5,c5). [resolve(2445,a,268,c)].
% 10.53/10.82 8527 cyclic(c4,c6,c5,c5). [resolve(6223,a,4000,a)].
% 10.53/10.82 8530 cyclic(c4,c9,c5,c5). [resolve(6223,a,3525,a)].
% 10.53/10.82 8532 cyclic(c4,c4,c5,c5). [resolve(6223,a,1203,a)].
% 10.53/10.82 8533 cyclic(c4,c5,c5,c5). [resolve(6223,a,854,a)].
% 10.53/10.82 8534 cyclic(c4,c10,c5,c5). [resolve(6223,a,652,a)].
% 10.53/10.82 8562 cyclic(c4,c5,c6,c5). [resolve(8527,a,122,a)].
% 10.53/10.82 8610 cyclic(c9,c5,c5,c5). [resolve(8530,a,267,a)].
% 10.53/10.82 8675 cyclic(c4,c5,c4,c5). [resolve(8532,a,122,a)].
% 10.53/10.82 8695 cyclic(c5,c4,c5,c5). [resolve(8533,a,123,a)].
% 10.53/10.82 8697 cyclic(c10,c5,c5,c5). [resolve(8534,a,267,a)].
% 10.53/10.82 8850 cyclic(c5,c4,c6,c5). [resolve(8562,a,123,a)].
% 10.53/10.82 8997 cyclic(c5,c9,c5,c5). [resolve(8610,a,123,a)].
% 10.53/10.82 9124 cyclic(c5,c4,c4,c5). [resolve(8675,a,123,a)].
% 10.53/10.82 9125 cyclic(c4,c5,c5,c4). [resolve(8675,a,121,a)].
% 10.53/10.82 9126 -cyclic(c5,c4,c4,c4) | cong(c5,c4,c5,c4). [back_unit_del(8225),unit_del(a,9124)].
% 10.53/10.82 9165 cyclic(c5,c5,c4,c5). [resolve(8695,a,122,a)].
% 10.53/10.82 9166 -cyclic(c5,c5,c4,c4) | cong(c5,c5,c5,c5). [back_unit_del(8226),unit_del(a,9165)].
% 10.53/10.82 9185 cyclic(c5,c10,c5,c5). [resolve(8697,a,123,a)].
% 10.53/10.82 9482 cyclic(c5,c4,c5,c6). [resolve(8850,a,121,a)].
% 10.53/10.82 9696 cyclic(c5,c5,c9,c5). [resolve(8997,a,122,a)].
% 10.53/10.82 9869 cyclic(c5,c5,c4,c4). [resolve(9125,a,267,a)].
% 10.53/10.82 9890 cong(c5,c5,c5,c5). [back_unit_del(9166),unit_del(a,9869)].
% 10.53/10.82 10230 cyclic(c5,c5,c10,c5). [resolve(9185,a,122,a)].
% 10.53/10.82 10675 cyclic(c5,c5,c4,c6). [resolve(9482,a,122,a)].
% 10.53/10.82 10938 -cong(c5,c9,c5,c9) | perp(c9,c5,c5,c5). [resolve(9696,a,160,c),unit_del(b,9890)].
% 10.53/10.82 11135 cyclic(c5,c4,c4,c4). [resolve(9869,a,267,a)].
% 10.53/10.82 11151 cong(c5,c4,c5,c4). [back_unit_del(9126),unit_del(a,11135)].
% 10.53/10.82 11310 midp(c5,c5,c5). [resolve(9890,a,170,a),unit_del(a,854)].
% 10.53/10.82 11317 midp(c5,c10,c10). [resolve(11310,a,2932,a)].
% 10.53/10.82 11319 midp(c5,c4,c4). [resolve(11310,a,1185,a)].
% 10.53/10.82 11361 cong(c5,c10,c5,c10). [resolve(11317,a,171,a)].
% 10.53/10.82 11401 midp(c5,c6,c6). [resolve(11319,a,2464,a)].
% 10.53/10.82 11445 midp(c5,c9,c9). [resolve(11401,a,2874,a)].
% 10.53/10.82 11462 cong(c5,c6,c5,c6). [resolve(11401,a,171,a)].
% 10.53/10.82 11512 midp(c4,c9,c6). [resolve(11445,a,1503,a),unit_del(a,5445)].
% 10.53/10.82 11529 cong(c5,c9,c5,c9). [resolve(11445,a,171,a)].
% 10.53/10.82 11540 perp(c9,c5,c5,c5). [back_unit_del(10938),unit_del(a,11529)].
% 10.53/10.82 11577 midp(c4,c6,c9). [resolve(11512,a,119,a)].
% 10.53/10.82 11595 cong(c4,c6,c4,c9). [resolve(11577,a,171,a)].
% 10.53/10.82 12294 perp(c10,c5,c5,c5). [resolve(10230,a,160,c),unit_del(a,11361),unit_del(b,9890)].
% 10.53/10.82 12528 perp(c4,c5,c5,c6). [resolve(10675,a,160,c),unit_del(a,11151),unit_del(b,11462)].
% 10.53/10.82 13342 cong(c9,c5,c9,c5). [resolve(11540,a,158,b),unit_del(a,11310)].
% 10.53/10.82 13422 perp(c6,c9,c9,c9). [resolve(11595,a,301,c),unit_del(a,5148)].
% 10.53/10.82 13926 cong(c10,c5,c10,c5). [resolve(12294,a,158,b),unit_del(a,11310)].
% 10.53/10.82 14168 para(c1,c3,c5,c6). [resolve(12528,a,1242,a)].
% 10.53/10.82 14887 midp(c9,c5,c5). [resolve(13342,a,170,a),unit_del(a,4848)].
% 10.53/10.82 14896 midp(c9,c10,c10). [resolve(14887,a,2932,a)].
% 10.53/10.82 14926 para(c9,c9,c10,c10). [resolve(14896,a,271,a)].
% 10.53/10.82 15161 para(c1,c3,c9,c9). [resolve(13422,a,1522,a)].
% 10.53/10.82 15520 midp(c10,c5,c5). [resolve(13926,a,170,a),unit_del(a,1005)].
% 10.53/10.82 15527 midp(c10,c4,c4). [resolve(15520,a,1185,a)].
% 10.53/10.82 15558 midp(c10,c6,c6). [resolve(15527,a,2464,a)].
% 10.53/10.82 15573 midp(c10,c9,c9). [resolve(15558,a,2874,a)].
% 10.53/10.82 16099 para(c5,c6,c1,c3). [resolve(14168,a,113,a)].
% 10.53/10.82 16751 -perp(c10,c10,A,B) | perp(c9,c9,A,B). [resolve(14926,a,118,a)].
% 10.53/10.82 16949 -perp(c9,c9,A,B) | perp(c1,c3,A,B). [resolve(15161,a,118,a)].
% 10.53/10.82 17907 -perp(c1,c3,A,B) | perp(c5,c6,A,B). [resolve(16099,a,118,a)].
% 10.53/10.82 28905 para(A,B,A,B). [resolve(6225,a,146,a)].
% 10.53/10.82 28909 -midp(A,B,B) | midp(A,C,C). [resolve(28905,a,276,b)].
% 10.53/10.82 34149 midp(c10,A,A). [resolve(28909,a,15573,a)].
% 10.53/10.82 34324 cong(c10,A,c10,A). [resolve(34149,a,171,a)].
% 10.53/10.82 34704 perp(c10,c10,A,B). [resolve(34324,a,159,b),unit_del(a,34324)].
% 10.53/10.82 34710 perp(c9,c9,A,B). [back_unit_del(16751),unit_del(a,34704)].
% 10.53/10.82 34730 perp(c1,c3,A,B). [back_unit_del(16949),unit_del(a,34710)].
% 10.53/10.82 34746 perp(c5,c6,A,B). [back_unit_del(17907),unit_del(a,34730)].
% 10.53/10.82 35419 perp(A,B,c5,c6). [resolve(34746,a,116,a)].
% 10.53/10.82 35420 $F. [resolve(35419,a,223,a)].
% 10.53/10.82
% 10.53/10.82 % SZS output end Refutation
% 10.53/10.82 ============================== end of proof ==========================
% 10.53/10.82
% 10.53/10.82 ============================== STATISTICS ============================
% 10.53/10.82
% 10.53/10.82 Given=15121. Generated=187380. Kept=35303. proofs=1.
% 10.53/10.82 Usable=11272. Sos=7322. Demods=0. Limbo=0, Disabled=16867. Hints=0.
% 10.53/10.82 Megabytes=19.33.
% 10.53/10.82 User_CPU=9.49, System_CPU=0.12, Wall_clock=10.
% 10.53/10.82
% 10.53/10.82 ============================== end of statistics =====================
% 10.53/10.82
% 10.53/10.82 ============================== end of search =========================
% 10.53/10.82
% 10.53/10.82 THEOREM PROVED
% 10.53/10.82 % SZS status Theorem
% 10.53/10.82
% 10.53/10.82 Exiting with 1 proof.
% 10.53/10.82
% 10.53/10.82 Process 31230 exit (max_proofs) Sat Jun 18 10:11:29 2022
% 10.53/10.82 Prover9 interrupted
%------------------------------------------------------------------------------