0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.33 % Computer : n021.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 06:32:22 EDT 2023 0.13/0.34 % CPUTime : 0.84/1.08 ============================== Prover9 =============================== 0.84/1.08 Prover9 (32) version 2009-11A, November 2009. 0.84/1.08 Process 6534 was started by sandbox2 on n021.cluster.edu, 0.84/1.08 Mon Jul 3 06:32:23 2023 0.84/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_6341_n021.cluster.edu". 0.84/1.08 ============================== end of head =========================== 0.84/1.08 0.84/1.08 ============================== INPUT ================================= 0.84/1.08 0.84/1.08 % Reading from file /tmp/Prover9_6341_n021.cluster.edu 0.84/1.08 0.84/1.08 set(prolog_style_variables). 0.84/1.08 set(auto2). 0.84/1.08 % set(auto2) -> set(auto). 0.84/1.08 % set(auto) -> set(auto_inference). 0.84/1.08 % set(auto) -> set(auto_setup). 0.84/1.08 % set(auto_setup) -> set(predicate_elim). 0.84/1.08 % set(auto_setup) -> assign(eq_defs, unfold). 0.84/1.08 % set(auto) -> set(auto_limits). 0.84/1.08 % set(auto_limits) -> assign(max_weight, "100.000"). 0.84/1.08 % set(auto_limits) -> assign(sos_limit, 20000). 0.84/1.08 % set(auto) -> set(auto_denials). 0.84/1.08 % set(auto) -> set(auto_process). 0.84/1.08 % set(auto2) -> assign(new_constants, 1). 0.84/1.08 % set(auto2) -> assign(fold_denial_max, 3). 0.84/1.08 % set(auto2) -> assign(max_weight, "200.000"). 0.84/1.08 % set(auto2) -> assign(max_hours, 1). 0.84/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.84/1.08 % set(auto2) -> assign(max_seconds, 0). 0.84/1.08 % set(auto2) -> assign(max_minutes, 5). 0.84/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.84/1.08 % set(auto2) -> set(sort_initial_sos). 0.84/1.08 % set(auto2) -> assign(sos_limit, -1). 0.84/1.08 % set(auto2) -> assign(lrs_ticks, 3000). 0.84/1.08 % set(auto2) -> assign(max_megs, 400). 0.84/1.08 % set(auto2) -> assign(stats, some). 0.84/1.08 % set(auto2) -> clear(echo_input). 0.84/1.08 % set(auto2) -> set(quiet). 0.84/1.08 % set(auto2) -> clear(print_initial_clauses). 0.84/1.08 % set(auto2) -> clear(print_given). 0.84/1.08 assign(lrs_ticks,-1). 0.84/1.08 assign(sos_limit,10000). 0.84/1.08 assign(order,kbo). 0.84/1.08 set(lex_order_vars). 0.84/1.08 clear(print_given). 0.84/1.08 0.84/1.08 % formulas(sos). % not echoed (95 formulas) 0.84/1.08 0.84/1.08 ============================== end of input ========================== 0.84/1.08 0.84/1.08 % From the command line: assign(max_seconds, 1440). 0.84/1.08 0.84/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.84/1.08 0.84/1.08 % Formulas that are not ordinary clauses: 0.84/1.08 1 (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]. 0.84/1.08 2 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 3 (all A all B all C all D all O exists P (cong(O,C,O,D) & perp(A,B,B,O) -> cong(B,C,B,P) & para(P,C,A,B) & cong(O,C,O,P))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 4 (all A all B all O all X exists M (eqangle(A,O,O,X,O,X,O,B) & perp(O,X,A,B) -> coll(B,A,M) & coll(M,O,X))) # label(ruleX3) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 5 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 6 (all A all B all C all P all Q all R (eqangle(A,B,B,C,P,Q,Q,R) & -coll(A,B,C) & eqangle(A,C,B,C,P,R,Q,R) -> simtri(A,B,C,P,Q,R))) # label(ruleD58) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 7 (all A all B all O (-coll(O,A,B) & eqangle(O,A,A,B,A,B,O,B) -> cong(O,A,O,B))) # label(ruleD47) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 8 (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]. 0.84/1.08 9 (all A all B all C all D all P all Q exists R (coll(P,B,D) & coll(Q,A,B) & coll(P,A,C) & para(A,B,C,D) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 10 (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]. 0.84/1.08 11 (all A all B all C all M (midp(M,A,C) & perp(A,B,B,C) -> cong(A,M,B,M))) # label(ruleD52) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 12 (all A all B all C all E all F (coll(F,A,C) & para(E,F,B,C) & midp(E,A,B) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 13 (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]. 0.84/1.08 14 (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]. 0.84/1.08 15 (all A all B all O exists C (perp(A,O,O,B) & cong(O,A,O,B) -> coll(A,O,C) & cong(O,A,O,C))) # label(ruleX17) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 16 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 17 (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]. 0.84/1.08 18 (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]. 0.84/1.08 19 (all A all B all C all D (coll(A,B,D) & coll(A,B,C) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 20 (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]. 0.84/1.08 21 (all A all B all P all Q (cyclic(A,B,P,Q) & cong(A,Q,B,Q) & cong(A,P,B,P) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 22 (all A all B all C all D all M all N exists P exists Q (cong(M,A,M,D) & cong(N,A,N,B) & M != N & circle(M,A,B,C) -> cong(P,N,N,A) & cong(Q,N,N,A) & coll(Q,B,D) & coll(P,A,C))) # label(ruleX12) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 23 (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]. 0.84/1.08 24 (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]. 0.84/1.08 25 (all A all B all P all Q (-coll(P,Q,A) & eqangle(P,A,P,B,Q,A,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42a) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 26 (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(P,Q,U,V,E,F,G,H) & eqratio(A,B,C,D,P,Q,U,V) -> eqratio(A,B,C,D,E,F,G,H))) # label(ruleD30) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 27 (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]. 0.84/1.08 28 (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]. 0.84/1.08 29 (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]. 0.84/1.08 30 (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) & coll(P,Q,R) & para(A,P,B,Q) -> coll(X,A,Q) & coll(X,M,R))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 31 (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]. 0.84/1.08 32 (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]. 0.84/1.08 33 (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]. 0.84/1.08 34 (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]. 0.84/1.08 35 (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]. 0.84/1.08 36 (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]. 0.84/1.08 37 (all A all B all C all E all F all G all P all Q all R (contri(E,F,G,P,Q,R) & contri(A,B,C,E,F,G) -> contri(A,B,C,P,Q,R))) # label(ruleD38) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 38 (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]. 0.84/1.08 39 (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]. 0.84/1.08 40 (all A all B all C all E all F exists P (coll(B,E,F) & perp(A,C,C,B) -> coll(P,E,F) & perp(P,A,E,F))) # label(ruleX15) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 41 (all A all B all C all D all P all Q all U all V (para(P,Q,U,V) & eqangle(A,B,C,D,P,Q,U,V) -> para(A,B,C,D))) # label(ruleD73) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 42 (all A all B all C all D all M all N all Q exists P (midp(M,A,B) & coll(D,A,B) & coll(C,A,B) & midp(N,C,D) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 43 (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]. 0.84/1.08 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]. 0.84/1.08 45 (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]. 0.84/1.08 46 (all A all B all O all X exists M (perp(O,X,A,B) & cong(O,A,O,B) -> coll(M,O,X) & coll(B,A,M))) # label(ruleX4) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 47 (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]. 0.84/1.08 48 (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]. 0.84/1.08 49 (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]. 0.84/1.08 50 (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]. 0.84/1.08 51 (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]. 0.84/1.08 52 (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]. 0.84/1.08 53 (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]. 0.84/1.08 54 (all A all B all C all D (-perp(A,B,C,D) & eqangle(A,B,C,D,C,D,A,B) -> para(A,B,C,D))) # label(ruleD72) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 55 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 56 (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]. 0.84/1.08 57 (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]. 0.84/1.08 58 (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]. 0.84/1.08 59 (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]. 0.84/1.08 60 (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]. 0.84/1.08 61 (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]. 0.84/1.08 62 (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]. 0.84/1.08 63 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 64 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 65 (all A all B all P all Q (coll(P,Q,B) & eqangle(P,A,P,B,Q,A,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 66 (all A all B all C all D all O (cong(O,A,O,B) & cong(O,A,O,D) & cong(O,A,O,C) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 67 (all A all B all C all O all M (eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) & circle(O,A,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 68 (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]. 0.84/1.08 69 (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]. 0.84/1.08 70 (all A all B all C all D all O (coll(O,A,C) & coll(O,B,D) & para(A,B,C,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 71 (all A all B all C all D all E (cyclic(A,B,C,E) & cyclic(A,B,C,D) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 72 (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]. 0.84/1.08 73 (all A all B all C all E all F (midp(F,A,C) & midp(E,A,B) -> para(E,F,B,C))) # label(ruleD44) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 74 (all A all B all C all P all Q all R (cong(A,B,P,Q) & simtri(A,B,C,P,Q,R) -> contri(A,B,C,P,Q,R))) # label(ruleD61) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 75 (all A all B all M all O (perp(O,M,A,B) & midp(M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 76 (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]. 0.84/1.08 77 (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]. 0.84/1.08 78 (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]. 0.84/1.08 79 (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]. 0.84/1.08 80 (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]. 0.84/1.08 81 (all A all M all O all X exists B (eqangle(X,O,M,O,M,O,A,O) & perp(O,M,M,A) -> coll(B,O,X) & coll(B,A,M))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 82 (all A all B all C all D all M all N exists P (midp(N,C,D) & midp(M,A,B) -> para(P,N,A,C) & para(P,M,B,D) & midp(P,A,D))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 83 (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]. 0.84/1.08 84 (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]. 0.84/1.08 85 (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]. 0.84/1.08 86 (all A all B all C all D all M exists P (perp(A,B,A,C) & midp(M,B,D) & perp(C,A,C,D) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 87 (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]. 0.84/1.08 88 (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(P,Q,U,V,E,F,G,H) & eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 89 (all A all B all C all D all M (midp(M,A,B) & para(A,D,B,C) & para(A,C,B,D) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 90 (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]. 0.84/1.08 91 (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]. 0.84/1.08 92 (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]. 0.84/1.08 93 (all A all B all C all H exists P exists Q (perp(B,H,A,C) & perp(A,H,B,C) -> coll(Q,C,A) & perp(B,Q,C,A) & perp(A,P,C,B) & coll(P,C,B))) # label(ruleX10) # label(axiom) # label(non_clause). [assumption]. 0.84/1.08 94 (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]. 0.84/1.08 95 -(all A all B all C all O all D all E all Q all P all S all R all NWPNT1 all NWPNT2 (perp(Q,E,B,C) & coll(S,A,D) & perp(R,E,C,D) & coll(R,C,D) & perp(S,E,A,D) & coll(P,A,B) & perp(P,E,A,B) & coll(Q,B,C) & circle(O,A,E,NWPNT2) & circle(O,A,D,NWPNT1) & circle(O,A,B,C) -> eqangle(E,P,P,S,E,Q,Q,R))) # label(exemplo6GDDFULL416046) # label(negated_conjecture) # label(non_clause). [assumption]. 0.84/1.08 0.84/1.08 ============================== end of process non-clausal formulas === 0.84/1.08 0.84/1.08 ============================== PROCESS INITIAL CLAUSES =============== 0.84/1.08 0.84/1.08 ============================== PREDICATE ELIMINATION ================= 0.84/1.08 96 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f6(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom). [clausify(22)]. 0.84/1.08 97 -perp(A,B,B,C) | -cyclic(A,C,B,D) | circle(f5(A,C,B,D),A,C,B) # label(ruleX14) # label(axiom). [clausify(20)]. 0.84/1.08 Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | cong(f6(A,B,C,E,f5(A,B,C,D),F),F,F,A) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(96,d,97,c)]. 0.84/1.08 98 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f7(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom). [clausify(22)]. 0.84/1.08 Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | cong(f7(A,B,C,E,f5(A,B,C,D),F),F,F,A) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(98,d,97,c)]. 0.84/1.08 99 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f7(B,E,F,C,A,D),E,C) # label(ruleX12) # label(axiom). [clausify(22)]. 0.84/1.08 Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | coll(f7(A,B,C,E,f5(A,B,C,D),F),B,E) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(99,d,97,c)]. 0.84/1.08 100 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f6(B,E,F,C,A,D),B,F) # label(ruleX12) # label(axiom). [clausify(22)]. 0.84/1.08 Derived: -cong(f5(A,B,C,D),A,f5(A,B,C,D),E) | -cong(F,A,F,B) | F = f5(A,B,C,D) | coll(f6(A,B,C,E,f5(A,B,C,D),F),A,C) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(100,d,97,c)]. 0.84/1.08 101 -circle(A,B,C,D) | perp(f8(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(27)]. 0.84/1.08 Derived: perp(f8(A,B,C,f5(A,B,C,D)),A,A,f5(A,B,C,D)) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(101,a,97,c)]. 0.84/1.08 102 -circle(A,B,C,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C) # label(ruleD48) # label(axiom). [clausify(38)]. 0.84/1.08 Derived: -perp(f5(A,B,C,D),A,A,E) | eqangle(A,E,A,B,C,A,C,B) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(102,a,97,c)]. 0.84/1.08 103 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f14(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(47)]. 0.84/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | cong(f6(A,B,C,F,f14(A,B,C,D,E),V6),V6,V6,A). [resolve(103,d,96,d)]. 0.84/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | cong(f7(A,B,C,F,f14(A,B,C,D,E),V6),V6,V6,A). [resolve(103,d,98,d)]. 0.84/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | coll(f7(A,B,C,F,f14(A,B,C,D,E),V6),B,F). [resolve(103,d,99,d)]. 0.84/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -cong(f14(A,B,C,D,E),A,f14(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f14(A,B,C,D,E) | coll(f6(A,B,C,F,f14(A,B,C,D,E),V6),A,C). [resolve(103,d,100,d)]. 0.84/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | perp(f8(A,B,C,f14(A,B,C,D,E)),A,A,f14(A,B,C,D,E)). [resolve(103,d,101,a)]. 0.84/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -perp(f14(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B). [resolve(103,d,102,a)]. 0.84/1.08 104 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(56)]. 0.84/1.08 Derived: -coll(f5(A,B,C,D),A,C) | perp(A,B,B,C) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(104,a,97,c)]. 0.84/1.08 Derived: -coll(f14(A,B,C,D,E),A,C) | perp(A,B,B,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(104,a,103,d)]. 0.84/1.08 105 -eqangle(A,B,A,C,D,B,D,E) | -coll(E,B,C) | -circle(D,A,B,C) | midp(E,B,C) # label(ruleD51) # label(axiom). [clausify(67)]. 0.84/1.08 Derived: -eqangle(A,B,A,C,f5(A,B,C,D),B,f5(A,B,C,D),E) | -coll(E,B,C) | midp(E,B,C) | -perp(A,C,C,B) | -cyclic(A,B,C,D). [resolve(105,c,97,c)]. 0.84/1.08 Derived: -eqangle(A,B,A,C,f14(A,B,C,D,E),B,f14(A,B,C,D,E),F) | -coll(F,B,C) | midp(F,B,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(105,c,103,d)]. 0.84/1.08 106 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(72)]. 0.84/1.08 Derived: -midp(A,B,C) | eqangle(D,B,D,C,f5(D,B,C,E),B,f5(D,B,C,E),A) | -perp(D,C,C,B) | -cyclic(D,B,C,E). [resolve(106,a,97,c)]. 0.84/1.08 Derived: -midp(A,B,C) | eqangle(D,B,D,C,f14(D,B,C,E,F),B,f14(D,B,C,E,F),A) | -cyclic(D,B,C,E) | -para(D,B,C,E) | -midp(F,D,B). [resolve(106,a,103,d)]. 0.84/1.08 107 -circle(A,B,C,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E) # label(ruleD49) # label(axiom). [clausify(84)]. 0.84/1.08 Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(f5(A,C,D,E),A,A,B) | -perp(A,D,D,C) | -cyclic(A,C,D,E). [resolve(107,a,97,c)]. 0.84/1.08 Derived: -eqangle(A,B,A,C,D,A,D,C) | perp(f14(A,C,D,E,F),A,A,B) | -cyclic(A,C,D,E) | -para(A,C,D,E) | -midp(F,A,C). [resolve(107,a,103,d)]. 0.84/1.08 108 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(94)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f6(B,C,D,E,A,F),F,F,B). [resolve(108,c,96,d)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | cong(f7(B,C,D,E,A,F),F,F,B). [resolve(108,c,98,d)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f7(B,C,D,E,A,F),C,E). [resolve(108,c,99,d)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | -cong(F,B,F,C) | F = A | coll(f6(B,C,D,E,A,F),B,D). [resolve(108,c,100,d)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | perp(f8(B,C,D,A),B,B,A). [resolve(108,c,101,a)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -perp(A,B,B,E) | eqangle(B,E,B,C,D,B,D,C). [resolve(108,c,102,a)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -coll(A,B,D) | perp(B,C,C,D). [resolve(108,c,104,a)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D). [resolve(108,c,105,c)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E). [resolve(108,c,106,a)]. 0.84/1.08 Derived: -cong(A,B,A,C) | -cong(A,B,A,D) | -eqangle(B,E,B,C,D,B,D,C) | perp(A,B,B,E). [resolve(108,c,107,a)]. 0.84/1.08 109 circle(c4,c1,c6,c12) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 0.84/1.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f6(c1,c6,c12,A,c4,B),B,B,c1). [resolve(109,a,96,d)]. 0.84/1.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | cong(f7(c1,c6,c12,A,c4,B),B,B,c1). [resolve(109,a,98,d)]. 0.84/1.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f7(c1,c6,c12,A,c4,B),c6,A). [resolve(109,a,99,d)]. 0.84/1.08 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c6) | B = c4 | coll(f6(c1,c6,c12,A,c4,B),c1,c12). [resolve(109,a,100,d)]. 0.84/1.08 Derived: perp(f8(c1,c6,c12,c4),c1,c1,c4). [resolve(109,a,101,a)]. 10.04/10.31 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c6,c12,c1,c12,c6). [resolve(109,a,102,a)]. 10.04/10.31 Derived: -coll(c4,c1,c12) | perp(c1,c6,c6,c12). [resolve(109,a,104,a)]. 10.04/10.31 Derived: -eqangle(c1,c6,c1,c12,c4,c6,c4,A) | -coll(A,c6,c12) | midp(A,c6,c12). [resolve(109,a,105,c)]. 10.04/10.31 Derived: -midp(A,c6,c12) | eqangle(c1,c6,c1,c12,c4,c6,c4,A). [resolve(109,a,106,a)]. 10.04/10.31 Derived: -eqangle(c1,A,c1,c6,c12,c1,c12,c6) | perp(c4,c1,c1,A). [resolve(109,a,107,a)]. 10.04/10.31 110 circle(c4,c1,c5,c11) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f6(c1,c5,c11,A,c4,B),B,B,c1). [resolve(110,a,96,d)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | cong(f7(c1,c5,c11,A,c4,B),B,B,c1). [resolve(110,a,98,d)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f7(c1,c5,c11,A,c4,B),c5,A). [resolve(110,a,99,d)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c5) | B = c4 | coll(f6(c1,c5,c11,A,c4,B),c1,c11). [resolve(110,a,100,d)]. 10.04/10.31 Derived: perp(f8(c1,c5,c11,c4),c1,c1,c4). [resolve(110,a,101,a)]. 10.04/10.31 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c5,c11,c1,c11,c5). [resolve(110,a,102,a)]. 10.04/10.31 Derived: -coll(c4,c1,c11) | perp(c1,c5,c5,c11). [resolve(110,a,104,a)]. 10.04/10.31 Derived: -eqangle(c1,c5,c1,c11,c4,c5,c4,A) | -coll(A,c5,c11) | midp(A,c5,c11). [resolve(110,a,105,c)]. 10.04/10.31 Derived: -midp(A,c5,c11) | eqangle(c1,c5,c1,c11,c4,c5,c4,A). [resolve(110,a,106,a)]. 10.04/10.31 Derived: -eqangle(c1,A,c1,c5,c11,c1,c11,c5) | perp(c4,c1,c1,A). [resolve(110,a,107,a)]. 10.04/10.31 111 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f6(c1,c2,c3,A,c4,B),B,B,c1). [resolve(111,a,96,d)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | cong(f7(c1,c2,c3,A,c4,B),B,B,c1). [resolve(111,a,98,d)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f7(c1,c2,c3,A,c4,B),c2,A). [resolve(111,a,99,d)]. 10.04/10.31 Derived: -cong(c4,c1,c4,A) | -cong(B,c1,B,c2) | B = c4 | coll(f6(c1,c2,c3,A,c4,B),c1,c3). [resolve(111,a,100,d)]. 10.04/10.31 Derived: perp(f8(c1,c2,c3,c4),c1,c1,c4). [resolve(111,a,101,a)]. 10.04/10.31 Derived: -perp(c4,c1,c1,A) | eqangle(c1,A,c1,c2,c3,c1,c3,c2). [resolve(111,a,102,a)]. 10.04/10.31 Derived: -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(111,a,104,a)]. 10.04/10.31 Derived: -eqangle(c1,c2,c1,c3,c4,c2,c4,A) | -coll(A,c2,c3) | midp(A,c2,c3). [resolve(111,a,105,c)]. 10.04/10.31 Derived: -midp(A,c2,c3) | eqangle(c1,c2,c1,c3,c4,c2,c4,A). [resolve(111,a,106,a)]. 10.04/10.31 Derived: -eqangle(c1,A,c1,c2,c3,c1,c3,c2) | perp(c4,c1,c1,A). [resolve(111,a,107,a)]. 10.04/10.31 10.04/10.31 ============================== end predicate elimination ============= 10.04/10.31 10.04/10.31 Auto_denials: (non-Horn, no changes). 10.04/10.31 10.04/10.31 Term ordering decisions: 10.04/10.31 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. f4=1. f2=1. f5=1. f8=1. f9=1. f13=1. f16=1. f19=1. f20=1. f1=1. f11=1. f14=1. f15=1. f18=1. f3=1. f6=1. f7=1. f17=1. f10=1. f12=1. 10.04/10.31 10.04/10.31 ============================== end of process initial clauses ======== 10.04/10.31 10.04/10.31 ============================== CLAUSES FOR SEARCH ==================== 10.04/10.32 10.04/10.32 ============================== end of clauses for search ============= 10.04/10.32 10.04/10.32 ============================== SEARCH ================================ 10.04/10.32 10.04/10.32 % Starting search at 0.02 seconds. 10.04/10.32 10.04/10.32 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.08 sec). 10.04/10.32 10.04/10.32 Low Water (keep): wt=26.000, iters=3430 10.04/10.32 10.04/10.32 Low Water (keep): wt=23.000, iters=3403 10.04/10.32 10.04/10.32 Low Water (keep): wt=21.000, iters=3344 10.04/10.32 10.04/10.32 Low Water (keep): wt=18.000, iters=3338 10.04/10.32 10.04/10.32 Low Water (keep): wt=17.000, iters=3336 10.04/10.32 10.04/10.32 Low Water (keep): wt=16.000, iters=3334 10.04/10.32 10.04/10.32 Low Water (keep): wt=13.000, iters=3386 10.04/10.32 10.04/10.32 Low Water (keep): wt=12.000, iters=3333 10.04/10.32 10.04/10.32 Low Water (keep): wt=11.000, iters=3338 10.04/10.32 10.04/10.32 Low Water (keep): wt=10.000, iters=3335 10.04/10.32 10.04/10.32 ============================== PROOF ================================= 10.04/10.32 % SZS status Theorem 10.04/10.32 % SZS output start Refutation 10.04/10.32 10.04/10.32 % Proof 1 at 9.16 (+ 0.09) seconds. 10.04/10.32 % Length of proof is 305. 10.04/10.32 % Level of proof is 34. 10.04/10.32 % Maximum clause weight is 29.000. 10.04/10.32 % Given clauses 15253. 10.04/10.32 10.04/10.32 5 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 8 (all A all B all P all Q (cyclic(A,B,P,Q) -> eqangle(P,A,P,B,Q,A,Q,B))) # label(ruleD41) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 10 (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]. 10.04/10.32 12 (all A all B all C all E all F (coll(F,A,C) & para(E,F,B,C) & midp(E,A,B) -> midp(F,A,C))) # label(ruleD45) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 13 (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]. 10.04/10.32 18 (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]. 10.04/10.32 19 (all A all B all C all D (coll(A,B,D) & coll(A,B,C) -> coll(C,D,A))) # label(ruleD3) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 21 (all A all B all P all Q (cyclic(A,B,P,Q) & cong(A,Q,B,Q) & cong(A,P,B,P) -> perp(P,A,A,Q))) # label(ruleD57) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 24 (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]. 10.04/10.32 27 (all A all B all C all O exists P (circle(O,A,B,C) -> perp(P,A,A,O))) # label(ruleX11) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 29 (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]. 10.04/10.32 34 (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]. 10.04/10.32 36 (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]. 10.04/10.32 39 (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]. 10.04/10.32 43 (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]. 10.04/10.32 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]. 10.04/10.32 48 (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]. 10.04/10.32 51 (all A all B all C all D (cong(A,B,C,D) -> cong(C,D,A,B))) # label(ruleD24) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 55 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 56 (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]. 10.04/10.32 62 (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]. 10.04/10.32 63 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 65 (all A all B all P all Q (coll(P,Q,B) & eqangle(P,A,P,B,Q,A,Q,B) -> cyclic(A,B,P,Q))) # label(ruleD42b) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 67 (all A all B all C all O all M (eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) & circle(O,A,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 70 (all A all B all C all D all O (coll(O,A,C) & coll(O,B,D) & para(A,B,C,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 71 (all A all B all C all D all E (cyclic(A,B,C,E) & cyclic(A,B,C,D) -> cyclic(B,C,D,E))) # label(ruleD17) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 72 (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]. 10.04/10.32 75 (all A all B all M all O (perp(O,M,A,B) & midp(M,A,B) -> cong(O,A,O,B))) # label(ruleD55) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 78 (all A all B all C all D (cong(A,B,C,D) -> cong(A,B,D,C))) # label(ruleD23) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 83 (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]. 10.04/10.32 85 (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]. 10.04/10.32 87 (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]. 10.04/10.32 88 (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(P,Q,U,V,E,F,G,H) & eqangle(A,B,C,D,P,Q,U,V) -> eqangle(A,B,C,D,E,F,G,H))) # label(ruleD22) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 89 (all A all B all C all D all M (midp(M,A,B) & para(A,D,B,C) & para(A,C,B,D) -> midp(M,C,D))) # label(ruleD64) # label(axiom) # label(non_clause). [assumption]. 10.04/10.32 92 (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]. 10.04/10.32 94 (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]. 10.04/10.32 95 -(all A all B all C all O all D all E all Q all P all S all R all NWPNT1 all NWPNT2 (perp(Q,E,B,C) & coll(S,A,D) & perp(R,E,C,D) & coll(R,C,D) & perp(S,E,A,D) & coll(P,A,B) & perp(P,E,A,B) & coll(Q,B,C) & circle(O,A,E,NWPNT2) & circle(O,A,D,NWPNT1) & circle(O,A,B,C) -> eqangle(E,P,P,S,E,Q,Q,R))) # label(exemplo6GDDFULL416046) # label(negated_conjecture) # label(non_clause). [assumption]. 10.04/10.32 101 -circle(A,B,C,D) | perp(f8(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(27)]. 10.04/10.32 104 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(56)]. 10.04/10.32 105 -eqangle(A,B,A,C,D,B,D,E) | -coll(E,B,C) | -circle(D,A,B,C) | midp(E,B,C) # label(ruleD51) # label(axiom). [clausify(67)]. 10.04/10.32 106 -circle(A,B,C,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E) # label(ruleD50) # label(axiom). [clausify(72)]. 10.04/10.32 108 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(94)]. 10.04/10.32 109 circle(c4,c1,c6,c12) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 111 circle(c4,c1,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 119 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(5)]. 10.04/10.32 122 -cyclic(A,B,C,D) | eqangle(C,A,C,B,D,A,D,B) # label(ruleD41) # label(axiom). [clausify(8)]. 10.04/10.32 125 -eqangle(A,B,C,D,E,F,C,D) | para(A,B,E,F) # label(ruleD39) # label(axiom). [clausify(10)]. 10.04/10.32 127 -coll(A,B,C) | -para(D,A,E,C) | -midp(D,B,E) | midp(A,B,C) # label(ruleD45) # label(axiom). [clausify(12)]. 10.04/10.32 128 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(13)]. 10.04/10.32 134 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(18)]. 10.04/10.32 135 -coll(A,B,C) | -coll(A,B,D) | coll(D,C,A) # label(ruleD3) # label(axiom). [clausify(19)]. 10.04/10.32 136 -cyclic(A,B,C,D) | -cong(A,D,B,D) | -cong(A,C,B,C) | perp(C,A,A,D) # label(ruleD57) # label(axiom). [clausify(21)]. 10.04/10.32 138 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(24)]. 10.04/10.32 143 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(A,B,E,F,C,D,V6,V7) # label(ruleD21) # label(axiom). [clausify(29)]. 10.04/10.32 149 -para(A,B,C,D) | -perp(C,D,E,F) | perp(A,B,E,F) # label(ruleD10) # label(axiom). [clausify(34)]. 10.04/10.32 151 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(36)]. 10.04/10.32 153 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(39)]. 10.04/10.32 158 -para(A,B,C,D) | eqangle(A,B,E,F,C,D,E,F) # label(ruleD40) # label(axiom). [clausify(43)]. 10.04/10.32 159 -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)]. 10.04/10.32 163 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(48)]. 10.04/10.32 166 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(51)]. 10.04/10.32 169 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(55)]. 10.04/10.32 175 -eqratio(A,B,C,D,E,F,V6,V7) | -cong(E,F,V6,V7) | cong(A,B,C,D) # label(ruleD75) # label(axiom). [clausify(62)]. 10.04/10.32 176 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(63)]. 10.04/10.32 178 -coll(A,B,C) | -eqangle(A,D,A,C,B,D,B,C) | cyclic(D,C,A,B) # label(ruleD42b) # label(axiom). [clausify(65)]. 10.04/10.32 182 -coll(A,B,C) | -coll(A,D,E) | -para(B,D,C,E) | eqratio(A,B,B,C,A,D,D,E) # label(ruleD65) # label(axiom). [clausify(70)]. 10.04/10.32 183 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,E,D) # label(ruleD17) # label(axiom). [clausify(71)]. 10.04/10.32 186 -perp(A,B,C,D) | -midp(B,C,D) | cong(A,C,A,D) # label(ruleD55) # label(axiom). [clausify(75)]. 10.04/10.32 190 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(78)]. 10.04/10.32 198 -perp(A,B,C,D) | -perp(C,D,E,F) | para(A,B,E,F) # label(ruleD9) # label(axiom). [clausify(83)]. 10.04/10.32 199 -eqangle(A,B,C,D,E,F,V6,V7) | eqangle(C,D,A,B,V6,V7,E,F) # label(ruleD19) # label(axiom). [clausify(85)]. 10.04/10.32 201 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(87)]. 10.04/10.32 202 -eqangle(A,B,C,D,E,F,V6,V7) | -eqangle(V8,V9,V10,V11,A,B,C,D) | eqangle(V8,V9,V10,V11,E,F,V6,V7) # label(ruleD22) # label(axiom). [clausify(88)]. 10.04/10.32 203 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,E,D) # label(ruleD64) # label(axiom). [clausify(89)]. 10.04/10.32 206 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(92)]. 10.04/10.32 211 perp(c7,c6,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 212 coll(c9,c1,c5) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 213 perp(c10,c6,c3,c5) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 216 coll(c8,c1,c2) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 217 perp(c8,c6,c1,c2) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 218 coll(c7,c2,c3) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 219 -eqangle(c6,c8,c8,c9,c6,c7,c7,c10) # label(exemplo6GDDFULL416046) # label(negated_conjecture). [clausify(95)]. 10.04/10.32 255 -cong(A,B,A,C) | -cong(A,B,A,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D). [resolve(108,c,105,c)]. 10.04/10.32 256 -cong(A,B,A,C) | -cong(A,B,A,D) | -midp(E,C,D) | eqangle(B,C,B,D,A,C,A,E). [resolve(108,c,106,a)]. 10.04/10.32 266 perp(f8(c1,c6,c12,c4),c1,c1,c4). [resolve(109,a,101,a)]. 10.04/10.32 296 -coll(c4,c1,c3) | perp(c1,c2,c2,c3). [resolve(111,a,104,a)]. 10.04/10.32 308 -coll(A,B,C) | coll(C,C,A). [factor(135,a,b)]. 10.04/10.32 309 -cyclic(A,B,C,C) | -cong(A,C,B,C) | perp(C,A,A,C). [factor(136,b,c)]. 10.04/10.32 314 -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(159,a,b)]. 10.04/10.32 323 -cyclic(A,B,C,D) | cyclic(B,C,D,D). [factor(183,a,b)]. 10.04/10.32 330 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(203,b,c)]. 10.04/10.32 351 -cong(A,B,A,C) | -eqangle(B,C,B,C,A,C,A,D) | -coll(D,C,C) | midp(D,C,C). [factor(255,a,b)]. 10.04/10.32 352 -cong(A,B,A,C) | -midp(D,C,C) | eqangle(B,C,B,C,A,C,A,D). [factor(256,a,b)]. 10.04/10.32 371 -perp(A,B,c7,c6) | para(A,B,c2,c3). [resolve(211,a,198,b)]. 10.04/10.32 372 -perp(c2,c3,A,B) | para(c7,c6,A,B). [resolve(211,a,198,a)]. 10.04/10.32 376 perp(c7,c6,c3,c2). [resolve(211,a,151,a)]. 10.04/10.32 377 perp(c2,c3,c7,c6). [resolve(211,a,138,a)]. 10.04/10.32 378 coll(c9,c5,c1). [resolve(212,a,176,a)]. 10.04/10.32 391 -perp(c3,c5,A,B) | para(c10,c6,A,B). [resolve(213,a,198,a)]. 10.04/10.32 396 perp(c3,c5,c10,c6). [resolve(213,a,138,a)]. 10.04/10.32 416 coll(c8,c2,c1). [resolve(216,a,176,a)]. 10.04/10.32 417 -coll(c8,c1,A) | coll(c2,A,c8). [resolve(216,a,135,b)]. 10.04/10.32 428 -perp(A,B,c8,c6) | para(A,B,c1,c2). [resolve(217,a,198,b)]. 10.04/10.32 429 -perp(c1,c2,A,B) | para(c8,c6,A,B). [resolve(217,a,198,a)]. 10.04/10.32 433 perp(c8,c6,c2,c1). [resolve(217,a,151,a)]. 10.04/10.32 434 perp(c1,c2,c8,c6). [resolve(217,a,138,a)]. 10.04/10.32 435 coll(c7,c3,c2). [resolve(218,a,176,a)]. 10.04/10.32 448 -perp(A,B,f8(c1,c6,c12,c4),c1) | para(A,B,c1,c4). [resolve(266,a,198,b)]. 10.04/10.32 456 perp(c1,c4,f8(c1,c6,c12,c4),c1). [resolve(266,a,138,a)]. 10.04/10.32 514 coll(c3,c3,c7). [resolve(308,a,218,a)]. 10.04/10.32 515 coll(c2,c2,c8). [resolve(308,a,216,a)]. 10.04/10.32 518 coll(c1,c1,c9). [resolve(378,a,308,a)]. 10.04/10.32 534 coll(c1,c1,c8). [resolve(416,a,308,a)]. 10.04/10.32 536 -coll(c8,c2,A) | coll(A,c1,c8). [resolve(416,a,135,a)]. 10.04/10.32 545 coll(c3,c7,c2). [resolve(435,a,119,a)]. 10.04/10.32 551 coll(c3,c7,c3). [resolve(514,a,176,a)]. 10.04/10.32 555 coll(c2,c8,c2). [resolve(515,a,176,a)]. 10.04/10.32 556 -coll(c2,c2,A) | coll(c8,A,c2). [resolve(515,a,135,b)]. 10.04/10.32 567 coll(c1,c9,c1). [resolve(518,a,176,a)]. 10.04/10.32 594 -coll(c1,c1,A) | coll(c8,A,c1). [resolve(534,a,135,b)]. 10.04/10.32 609 coll(c2,c2,c3). [resolve(545,a,308,a)]. 10.04/10.32 621 coll(c3,c3,c3). [resolve(551,a,308,a)]. 10.04/10.32 628 coll(c2,c2,c2). [resolve(555,a,308,a)]. 10.04/10.32 648 coll(c1,c1,c1). [resolve(567,a,308,a)]. 10.04/10.32 704 perp(c3,c2,c7,c6). [resolve(376,a,138,a)]. 10.04/10.32 708 coll(c2,c3,c2). [resolve(609,a,176,a)]. 10.04/10.32 716 para(c7,c6,c7,c6). [resolve(377,a,372,a)]. 10.04/10.32 717 para(c2,c3,c2,c3). [resolve(377,a,371,a)]. 10.04/10.32 726 -perp(A,B,c2,c3) | para(A,B,c7,c6). [resolve(377,a,198,b)]. 10.04/10.32 731 perp(c2,c3,c6,c7). [resolve(377,a,151,a)]. 10.04/10.32 797 coll(c3,c2,c2). [resolve(708,a,119,a)]. 10.04/10.32 885 para(c10,c6,c10,c6). [resolve(391,a,396,a)]. 10.04/10.32 899 perp(c2,c1,c8,c6). [resolve(433,a,138,a)]. 10.04/10.32 913 perp(c1,c2,c6,c8). [resolve(434,a,151,a)]. 10.04/10.32 914 para(c3,c2,c2,c3). [resolve(704,a,371,a)]. 10.04/10.32 932 para(c7,c6,c6,c7). [resolve(716,a,206,a)]. 10.04/10.32 933 -coll(A,c7,c7) | -coll(A,c6,c6) | eqratio(A,c7,c7,c7,A,c6,c6,c6). [resolve(716,a,182,c)]. 10.04/10.32 934 coll(c7,c6,c6). [resolve(716,a,169,a)]. 10.04/10.32 935 eqangle(c7,c6,A,B,c7,c6,A,B). [resolve(716,a,158,a)]. 10.04/10.32 943 coll(c6,c6,c7). [resolve(934,a,308,a)]. 10.04/10.32 946 coll(c6,c7,c6). [resolve(934,a,119,a)]. 10.04/10.32 949 coll(c7,c7,c6). [resolve(943,a,308,a)]. 10.04/10.32 952 coll(c6,c6,c6). [resolve(946,a,308,a)]. 10.04/10.32 955 coll(c7,c6,c7). [resolve(949,a,176,a)]. 10.04/10.32 961 coll(c6,c7,c7). [resolve(955,a,119,a)]. 10.04/10.32 968 -coll(A,c2,c2) | -coll(A,c3,c3) | eqratio(A,c2,c2,c2,A,c3,c3,c3). [resolve(717,a,182,c)]. 10.04/10.32 969 eqangle(c2,c3,A,B,c2,c3,A,B). [resolve(717,a,158,a)]. 10.04/10.32 985 -perp(A,B,c2,c3) | para(A,B,c6,c7). [resolve(731,a,198,b)]. 10.04/10.32 1067 eqangle(c10,c6,A,B,c10,c6,A,B). [resolve(885,a,158,a)]. 10.04/10.32 1126 para(c3,c2,c3,c2). [resolve(914,a,206,a)]. 10.04/10.32 1129 -perp(c2,c3,A,B) | perp(c3,c2,A,B). [resolve(914,a,149,a)]. 10.04/10.32 1157 eqangle(c7,c6,A,B,c6,c7,A,B). [resolve(932,a,158,a)]. 10.04/10.32 1324 -midp(A,c3,c3) | midp(A,c2,c2). [resolve(1126,a,330,b)]. 10.04/10.32 1328 eqangle(c3,c2,A,B,c3,c2,A,B). [resolve(1126,a,158,a)]. 10.04/10.32 1333 -coll(c2,A,c2) | -midp(c3,A,c3) | midp(c2,A,c2). [resolve(1126,a,127,b)]. 10.04/10.32 1675 para(c2,c1,c1,c2). [resolve(428,a,899,a)]. 10.04/10.32 1692 para(c8,c6,c6,c8). [resolve(429,a,913,a)]. 10.04/10.32 1693 para(c8,c6,c8,c6). [resolve(429,a,434,a)]. 10.04/10.32 1818 para(c2,c1,c2,c1). [resolve(1675,a,206,a)]. 10.04/10.32 1821 -perp(c1,c2,A,B) | perp(c2,c1,A,B). [resolve(1675,a,149,a)]. 10.04/10.32 1855 para(c6,c8,c8,c6). [resolve(1692,a,128,a)]. 10.04/10.32 1864 eqangle(c8,c6,A,B,c8,c6,A,B). [resolve(1693,a,158,a)]. 10.04/10.32 1893 -midp(A,c2,c2) | midp(A,c1,c1). [resolve(1818,a,330,b)]. 10.04/10.32 1897 eqangle(c2,c1,A,B,c2,c1,A,B). [resolve(1818,a,158,a)]. 10.04/10.32 1902 -coll(c1,A,c1) | -midp(c2,A,c2) | midp(c1,A,c1). [resolve(1818,a,127,b)]. 10.04/10.32 1924 para(c6,c8,c6,c8). [resolve(1855,a,206,a)]. 10.04/10.32 1940 eqangle(c6,c8,A,B,c6,c8,A,B). [resolve(1924,a,158,a)]. 10.04/10.32 1950 coll(c8,c3,c2). [resolve(556,a,609,a)]. 10.04/10.32 1960 coll(c8,c2,c3). [resolve(1950,a,176,a)]. 10.04/10.32 1986 coll(c3,c1,c8). [resolve(1960,a,536,a)]. 10.04/10.32 1989 -coll(c8,c2,A) | coll(c3,A,c8). [resolve(1960,a,135,b)]. 10.04/10.32 2057 para(c1,c4,c1,c4). [resolve(456,a,448,a)]. 10.04/10.32 2073 coll(c3,c8,c1). [resolve(1986,a,176,a)]. 10.04/10.32 2144 -coll(c3,c8,A) | coll(c1,A,c3). [resolve(2073,a,135,b)]. 10.04/10.32 2403 -midp(A,c1,c1) | midp(A,c4,c4). [resolve(2057,a,330,b)]. 10.04/10.32 2408 coll(c1,c4,c4). [resolve(2057,a,169,a)]. 10.04/10.32 2417 coll(c4,c4,c1). [resolve(2408,a,308,a)]. 10.04/10.32 2427 coll(c1,c1,c4). [resolve(2417,a,308,a)]. 10.04/10.32 3193 coll(c8,c4,c1). [resolve(594,a,2427,a)]. 10.04/10.32 3245 coll(c8,c1,c4). [resolve(3193,a,176,a)]. 10.04/10.32 3319 coll(c2,c4,c8). [resolve(3245,a,417,a)]. 10.04/10.32 3375 coll(c2,c8,c4). [resolve(3319,a,176,a)]. 10.04/10.32 3438 coll(c8,c2,c4). [resolve(3375,a,119,a)]. 10.04/10.32 4575 eqratio(c6,c7,c7,c7,c6,c6,c6,c6). [resolve(933,a,961,a),unit_del(a,952)]. 10.04/10.32 4583 eqangle(A,B,c7,c6,A,B,c7,c6). [resolve(935,a,199,a)]. 10.04/10.32 4714 coll(c3,c4,c8). [resolve(1989,a,3438,a)]. 10.04/10.32 4716 coll(c3,c8,c4). [resolve(4714,a,176,a)]. 10.04/10.32 4771 eqratio(c3,c2,c2,c2,c3,c3,c3,c3). [resolve(968,b,621,a),unit_del(a,797)]. 10.04/10.32 4782 -cong(c2,c2,c2,c3) | midp(c3,c3,c3). [resolve(969,a,351,b),unit_del(b,621)]. 10.04/10.32 4784 -cyclic(c3,c3,c2,c3) | -cyclic(c3,c3,c2,c2) | cong(c3,c3,c3,c3). [resolve(969,a,314,c)]. 10.04/10.32 4786 eqangle(A,B,c2,c3,A,B,c2,c3). [resolve(969,a,199,a)]. 10.04/10.32 4791 -coll(c2,c2,A) | cyclic(c3,A,c2,c2). [resolve(969,a,178,b)]. 10.04/10.32 4907 coll(c1,c4,c3). [resolve(2144,a,4716,a)]. 10.04/10.32 4912 coll(c4,c1,c3). [resolve(4907,a,119,a)]. 10.04/10.32 4913 perp(c1,c2,c2,c3). [back_unit_del(296),unit_del(a,4912)]. 10.04/10.32 4956 para(c1,c2,c6,c7). [resolve(4913,a,985,a)]. 10.04/10.32 4957 para(c1,c2,c7,c6). [resolve(4913,a,726,a)]. 10.04/10.32 4990 -perp(c6,c7,A,B) | perp(c1,c2,A,B). [resolve(4956,a,149,a)]. 10.04/10.32 5007 -perp(c7,c6,A,B) | perp(c1,c2,A,B). [resolve(4957,a,149,a)]. 10.04/10.32 5547 -coll(c10,c10,A) | cyclic(c6,A,c10,c10). [resolve(1067,a,178,b)]. 10.04/10.32 5833 -eqangle(A,B,C,D,c7,c6,E,F) | eqangle(A,B,C,D,c6,c7,E,F). [resolve(1157,a,202,a)]. 10.04/10.32 6307 -cong(c3,c3,c3,c2) | midp(c2,c2,c2). [resolve(1328,a,351,b),unit_del(b,628)]. 10.04/10.32 6316 -coll(c3,c3,A) | cyclic(c2,A,c3,c3). [resolve(1328,a,178,b)]. 10.04/10.32 11354 -cyclic(c6,c6,c8,c6) | -cyclic(c6,c6,c8,c8) | cong(c6,c6,c6,c6). [resolve(1864,a,314,c)]. 10.04/10.32 11359 -coll(c8,c8,A) | cyclic(c6,A,c8,c8). [resolve(1864,a,178,b)]. 10.04/10.32 11555 -cong(c2,c2,c2,c1) | midp(c1,c1,c1). [resolve(1897,a,351,b),unit_del(b,648)]. 10.04/10.32 11562 -coll(c2,c2,A) | cyclic(c1,A,c2,c2). [resolve(1897,a,178,b)]. 10.04/10.32 12155 -coll(c6,c6,A) | cyclic(c8,A,c6,c6). [resolve(1940,a,178,b)]. 10.04/10.32 17243 -cong(c6,c6,c6,c6) | cong(c6,c7,c7,c7). [resolve(4575,a,175,a)]. 10.04/10.32 17278 cyclic(A,c6,c7,c7). [resolve(4583,a,178,b),unit_del(a,949)]. 10.04/10.32 17281 para(A,B,A,B). [resolve(4583,a,125,a)]. 10.04/10.32 17284 cyclic(c6,c7,c7,c7). [resolve(17278,a,323,a)]. 10.04/10.32 17292 -midp(A,B,B) | midp(A,C,C). [resolve(17281,a,330,b)]. 10.04/10.32 17294 coll(A,B,B). [resolve(17281,a,169,a)]. 10.04/10.32 17578 coll(A,A,B). [resolve(17294,a,308,a)]. 10.04/10.32 17581 coll(A,B,A). [resolve(17294,a,119,a)]. 10.04/10.32 17736 cyclic(c8,A,c6,c6). [back_unit_del(12155),unit_del(a,17578)]. 10.04/10.32 17751 cyclic(c1,A,c2,c2). [back_unit_del(11562),unit_del(a,17578)]. 10.04/10.32 17758 cyclic(c6,A,c8,c8). [back_unit_del(11359),unit_del(a,17578)]. 10.04/10.32 17815 cyclic(c2,A,c3,c3). [back_unit_del(6316),unit_del(a,17578)]. 10.04/10.32 17816 cyclic(c6,A,c10,c10). [back_unit_del(5547),unit_del(a,17578)]. 10.04/10.32 17818 cyclic(c3,A,c2,c2). [back_unit_del(4791),unit_del(a,17578)]. 10.04/10.32 18002 -midp(c2,A,c2) | midp(c1,A,c1). [back_unit_del(1902),unit_del(a,17581)]. 10.04/10.32 18012 -midp(c3,A,c3) | midp(c2,A,c2). [back_unit_del(1333),unit_del(a,17581)]. 10.04/10.32 18025 -cyclic(c6,c6,c8,c6) | cong(c6,c6,c6,c6). [back_unit_del(11354),unit_del(b,17758)]. 10.04/10.32 18049 -cyclic(c3,c3,c2,c3) | cong(c3,c3,c3,c3). [back_unit_del(4784),unit_del(b,17818)]. 10.04/10.32 18543 coll(A,B,C). [resolve(17578,a,135,b),unit_del(a,17578)]. 10.04/10.32 18567 -para(A,B,C,D) | -midp(A,E,C) | midp(B,E,D). [back_unit_del(127),unit_del(a,18543)]. 10.04/10.32 18750 -cong(c6,c7,c7,c7) | perp(c7,c6,c6,c7). [resolve(17284,a,309,a)]. 10.04/10.32 18861 cyclic(A,c8,c6,c6). [resolve(17736,a,153,a)]. 10.04/10.32 18875 cyclic(c1,c2,A,c2). [resolve(17751,a,201,a)]. 10.04/10.32 19051 cyclic(c2,c3,A,c3). [resolve(17815,a,201,a)]. 10.04/10.32 19054 cyclic(A,c2,c3,c3). [resolve(17815,a,153,a)]. 10.04/10.32 19073 cyclic(c6,c10,A,c10). [resolve(17816,a,201,a)]. 10.04/10.32 19105 cyclic(c3,c2,A,c2). [resolve(17818,a,201,a)]. 10.04/10.32 19108 cyclic(A,c3,c2,c2). [resolve(17818,a,153,a)]. 10.04/10.32 19365 -cong(c3,c3,c3,c3) | cong(c3,c2,c2,c2). [resolve(4771,a,175,a)]. 10.04/10.32 19497 -cyclic(A,c3,c2,A) | -cyclic(A,c3,c2,c3) | cong(A,c3,A,c3). [resolve(4786,a,159,d),unit_del(c,19108)]. 10.04/10.32 19528 cyclic(A,c6,c8,c6). [resolve(18861,a,201,a)]. 10.04/10.32 19530 cong(c6,c6,c6,c6). [back_unit_del(18025),unit_del(a,19528)]. 10.04/10.32 19531 cong(c6,c7,c7,c7). [back_unit_del(17243),unit_del(a,19530)]. 10.04/10.32 19533 perp(c7,c6,c6,c7). [back_unit_del(18750),unit_del(a,19531)]. 10.04/10.32 19563 cyclic(c1,c2,c2,A). [resolve(18875,a,134,a)]. 10.04/10.32 19931 cyclic(c2,c3,c3,A). [resolve(19051,a,134,a)]. 10.04/10.32 19954 cyclic(A,c3,c2,c3). [resolve(19054,a,201,a)]. 10.04/10.32 19956 -cyclic(A,c3,c2,A) | cong(A,c3,A,c3). [back_unit_del(19497),unit_del(b,19954)]. 10.04/10.32 19957 cong(c3,c3,c3,c3). [back_unit_del(18049),unit_del(a,19954)]. 10.04/10.32 19958 cong(c3,c2,c2,c2). [back_unit_del(19365),unit_del(a,19957)]. 10.04/10.32 19988 cyclic(c6,c10,c10,A). [resolve(19073,a,134,a)]. 10.04/10.32 20033 perp(c2,c3,c3,c2). [resolve(19105,a,309,a),unit_del(a,19958)]. 10.04/10.32 20046 cyclic(c2,c3,A,c2). [resolve(19105,a,153,a)]. 10.04/10.32 20865 perp(c6,c7,c7,c6). [resolve(19533,a,138,a)]. 10.04/10.32 20905 cyclic(c2,c2,A,B). [resolve(19563,a,183,b),unit_del(a,19563)]. 10.04/10.32 21721 cyclic(c3,c3,A,B). [resolve(19931,a,183,b),unit_del(a,19931)]. 10.04/10.32 21774 cong(c2,c2,c3,c2). [resolve(19958,a,166,a)]. 10.04/10.32 21798 eqangle(c10,c6,c10,c10,A,c6,A,c10). [resolve(19988,a,122,a)]. 10.04/10.32 21845 perp(c3,c2,c3,c2). [resolve(20033,a,1129,a)]. 10.04/10.32 21865 cyclic(c2,A,c3,c2). [resolve(20046,a,201,a)]. 10.04/10.32 22441 cyclic(c2,A,B,C). [resolve(20905,a,183,b),unit_del(a,20905)]. 10.04/10.32 22770 -cong(c3,A,c3,A) | -cong(c3,B,c3,B) | perp(B,c3,c3,A). [resolve(21721,a,136,a)]. 10.04/10.32 22818 cong(c2,c2,c2,c3). [resolve(21774,a,190,a)]. 10.04/10.32 22823 midp(c3,c3,c3). [back_unit_del(4782),unit_del(a,22818)]. 10.04/10.32 22824 perp(c1,c2,c7,c6). [resolve(4990,a,20865,a)]. 10.04/10.32 22827 midp(c3,c2,c2). [resolve(22823,a,1324,a)]. 10.04/10.32 22844 midp(c3,c1,c1). [resolve(22827,a,1893,a)]. 10.04/10.32 22877 midp(c3,c4,c4). [resolve(22844,a,2403,a)]. 10.04/10.32 22971 -midp(c2,c3,c2) | cong(c3,c3,c3,c2). [resolve(21845,a,186,a)]. 10.04/10.32 22995 cyclic(A,c3,c2,B). [resolve(21865,a,183,b),unit_del(a,22441)]. 10.04/10.32 22999 cong(A,c3,A,c3). [back_unit_del(19956),unit_del(a,22995)]. 10.04/10.32 23324 perp(c2,c1,c7,c6). [resolve(22824,a,1821,a)]. 10.04/10.32 23423 -cong(A,c3,A,B) | -midp(C,B,c3) | eqangle(c3,B,c3,c3,A,B,A,C). [resolve(22999,a,256,b)]. 10.04/10.32 23427 cong(A,c3,c3,A). [resolve(22999,a,190,a)]. 10.04/10.32 23633 perp(c7,c6,c2,c1). [resolve(23324,a,138,a)]. 10.04/10.32 23739 cong(c3,A,A,c3). [resolve(23427,a,166,a)]. 10.04/10.32 23862 perp(c1,c2,c2,c1). [resolve(23633,a,5007,a)]. 10.04/10.32 23929 cong(c3,A,c3,A). [resolve(23739,a,190,a)]. 10.04/10.32 23937 perp(A,c3,c3,B). [back_unit_del(22770),unit_del(a,23929),unit_del(b,23929)]. 10.04/10.32 24005 perp(c2,c1,c2,c1). [resolve(23862,a,1821,a)]. 10.04/10.32 24040 -midp(A,B,B) | eqangle(B,B,B,B,c3,B,c3,A). [resolve(23929,a,352,a)]. 10.04/10.32 24045 perp(c3,c3,A,B). [resolve(23929,a,163,b),unit_del(a,23929)]. 10.04/10.32 24256 -midp(c3,c3,A) | cong(B,c3,B,A). [resolve(23937,a,186,a)]. 10.04/10.32 24301 -midp(c1,c2,c1) | cong(c2,c2,c2,c1). [resolve(24005,a,186,a)]. 10.04/10.32 24314 -perp(A,B,c3,c3) | para(A,B,C,D). [resolve(24045,a,198,b)]. 10.04/10.32 24315 perp(A,B,c3,c3). [resolve(24045,a,138,a)]. 10.04/10.32 24316 para(A,B,C,D). [back_unit_del(24314),unit_del(a,24315)]. 10.04/10.32 24395 -midp(A,B,C) | midp(D,B,E). [back_unit_del(18567),unit_del(a,24316)]. 10.04/10.32 24431 eqangle(A,B,C,D,E,F,C,D). [back_unit_del(158),unit_del(a,24316)]. 10.04/10.32 24896 midp(c3,A,A). [resolve(17292,a,22877,a)]. 10.04/10.32 25729 midp(c2,c3,c2). [resolve(18012,a,24896,a)]. 10.04/10.32 25730 cong(c3,c3,c3,c2). [back_unit_del(22971),unit_del(a,25729)]. 10.04/10.32 25732 midp(c2,c2,c2). [back_unit_del(6307),unit_del(a,25730)]. 10.04/10.32 25741 midp(c1,c2,c1). [resolve(25732,a,18002,a)]. 10.04/10.32 25747 cong(c2,c2,c2,c1). [back_unit_del(24301),unit_del(a,25741)]. 10.04/10.32 25748 midp(c1,c1,c1). [back_unit_del(11555),unit_del(a,25747)]. 10.04/10.32 25787 midp(c1,A,A). [resolve(25748,a,17292,a)]. 10.04/10.32 27958 midp(A,B,C). [resolve(24395,a,25787,a)]. 10.04/10.32 28031 cong(A,c3,A,B). [back_unit_del(24256),unit_del(a,27958)]. 10.04/10.32 28408 eqangle(A,A,A,A,c3,A,c3,B). [back_unit_del(24040),unit_del(a,27958)]. 10.04/10.32 28409 eqangle(c3,A,c3,c3,B,A,B,C). [back_unit_del(23423),unit_del(a,28031),unit_del(b,27958)]. 10.04/10.32 30608 eqangle(c10,c6,c10,c10,c6,c7,c7,c10). [resolve(21798,a,5833,a)]. 10.04/10.32 31329 eqangle(A,B,C,D,E,F,E,F). [resolve(24431,a,143,a)]. 10.04/10.32 33143 eqangle(A,B,C,D,c3,E,c3,F). [resolve(28408,a,202,a),unit_del(a,31329)]. 10.04/10.32 33154 eqangle(A,B,C,D,E,F,E,V6). [resolve(28409,a,202,a),unit_del(a,33143)]. 10.04/10.32 34799 eqangle(A,B,C,D,c6,c7,c7,c10). [resolve(30608,a,202,a),unit_del(a,33154)]. 10.04/10.32 34800 $F. [resolve(34799,a,219,a)]. 10.04/10.32 10.04/10.32 % SZS output end Refutation 10.04/10.32 ============================== end of proof ========================== 10.04/10.32 10.04/10.32 ============================== STATISTICS ============================ 10.04/10.32 10.04/10.32 Given=15253. Generated=160519. Kept=34668. proofs=1. 10.04/10.32 Usable=11749. Sos=5968. Demods=0. Limbo=0, Disabled=17135. Hints=0. 10.04/10.32 Megabytes=18.79. 10.04/10.32 User_CPU=9.16, System_CPU=0.09, Wall_clock=9. 10.04/10.32 10.04/10.32 ============================== end of statistics ===================== 10.04/10.32 10.04/10.32 ============================== end of search ========================= 10.04/10.32 10.04/10.32 THEOREM PROVED 10.04/10.32 % SZS status Theorem 10.04/10.32 10.04/10.32 Exiting with 1 proof. 10.04/10.32 10.04/10.32 Process 6534 exit (max_proofs) Mon Jul 3 06:32:32 2023 10.04/10.32 Prover9 interrupted 10.04/10.32 EOF