0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n016.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % DateTime : Tue Jul 13 14:28:23 EDT 2021 0.12/0.33 % CPUTime : 0.76/1.07 ============================== Prover9 =============================== 0.76/1.07 Prover9 (32) version 2009-11A, November 2009. 0.76/1.07 Process 11711 was started by sandbox2 on n016.cluster.edu, 0.76/1.07 Tue Jul 13 14:28:23 2021 0.76/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_11558_n016.cluster.edu". 0.76/1.07 ============================== end of head =========================== 0.76/1.07 0.76/1.07 ============================== INPUT ================================= 0.76/1.07 0.76/1.07 % Reading from file /tmp/Prover9_11558_n016.cluster.edu 0.76/1.07 0.76/1.07 set(prolog_style_variables). 0.76/1.07 set(auto2). 0.76/1.07 % set(auto2) -> set(auto). 0.76/1.07 % set(auto) -> set(auto_inference). 0.76/1.07 % set(auto) -> set(auto_setup). 0.76/1.07 % set(auto_setup) -> set(predicate_elim). 0.76/1.07 % set(auto_setup) -> assign(eq_defs, unfold). 0.76/1.07 % set(auto) -> set(auto_limits). 0.76/1.07 % set(auto_limits) -> assign(max_weight, "100.000"). 0.76/1.07 % set(auto_limits) -> assign(sos_limit, 20000). 0.76/1.07 % set(auto) -> set(auto_denials). 0.76/1.07 % set(auto) -> set(auto_process). 0.76/1.07 % set(auto2) -> assign(new_constants, 1). 0.76/1.07 % set(auto2) -> assign(fold_denial_max, 3). 0.76/1.07 % set(auto2) -> assign(max_weight, "200.000"). 0.76/1.07 % set(auto2) -> assign(max_hours, 1). 0.76/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.76/1.07 % set(auto2) -> assign(max_seconds, 0). 0.76/1.07 % set(auto2) -> assign(max_minutes, 5). 0.76/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.76/1.07 % set(auto2) -> set(sort_initial_sos). 0.76/1.07 % set(auto2) -> assign(sos_limit, -1). 0.76/1.07 % set(auto2) -> assign(lrs_ticks, 3000). 0.76/1.07 % set(auto2) -> assign(max_megs, 400). 0.76/1.07 % set(auto2) -> assign(stats, some). 0.76/1.07 % set(auto2) -> clear(echo_input). 0.76/1.07 % set(auto2) -> set(quiet). 0.76/1.07 % set(auto2) -> clear(print_initial_clauses). 0.76/1.07 % set(auto2) -> clear(print_given). 0.76/1.07 assign(lrs_ticks,-1). 0.76/1.07 assign(sos_limit,10000). 0.76/1.07 assign(order,kbo). 0.76/1.07 set(lex_order_vars). 0.76/1.07 clear(print_given). 0.76/1.07 0.76/1.07 % formulas(sos). % not echoed (95 formulas) 0.76/1.07 0.76/1.07 ============================== end of input ========================== 0.76/1.07 0.76/1.07 % From the command line: assign(max_seconds, 1200). 0.76/1.07 0.76/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.76/1.07 0.76/1.07 % Formulas that are not ordinary clauses: 0.76/1.07 1 (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]. 0.76/1.07 2 (all A all B all C all H exists P exists Q (perp(A,H,B,C) & perp(B,H,A,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]. 0.76/1.07 3 (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]. 0.76/1.07 4 (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]. 0.76/1.07 5 (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]. 0.76/1.07 6 (all A all B all C all O all M (circle(O,A,B,C) & eqangle(A,B,A,C,O,B,O,M) & coll(M,B,C) -> midp(M,B,C))) # label(ruleD51) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 7 (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]. 0.76/1.07 8 (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]. 0.76/1.07 9 (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]. 0.76/1.07 10 (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]. 0.76/1.07 11 (all A all B all C all D all O (cong(O,A,O,D) & cong(O,A,O,C) & cong(O,A,O,B) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 12 (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]. 0.76/1.07 13 (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]. 0.76/1.07 14 (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]. 0.76/1.07 15 (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]. 0.76/1.07 16 (all A all B all C all D all M exists P (perp(C,A,C,D) & midp(M,B,D) & perp(A,B,A,C) -> midp(P,A,C))) # label(ruleX16) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 17 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 18 (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]. 0.76/1.07 19 (all A all B all C all D all E all F (cong(C,D,E,F) & cong(A,B,C,D) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 20 (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]. 0.76/1.07 21 (all A all B all O all X exists M (eqangle(A,O,O,X,O,X,O,B) & cong(O,A,O,B) -> coll(M,O,X) & coll(B,A,M))) # label(ruleX2) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 22 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 23 (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]. 0.76/1.07 24 (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]. 0.76/1.07 25 (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]. 0.76/1.07 26 (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]. 0.76/1.07 27 (all A all B all C all D all P all Q exists R (coll(P,A,C) & coll(P,B,D) & coll(Q,A,B) & para(A,B,C,D) -> coll(P,Q,R) & coll(R,C,D))) # label(ruleX18) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 28 (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]. 0.76/1.07 29 (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]. 0.76/1.07 30 (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]. 0.76/1.07 31 (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]. 0.76/1.07 32 (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]. 0.76/1.07 33 (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]. 0.76/1.07 34 (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]. 0.76/1.07 35 (all A all B all C all D all O (coll(O,B,D) & coll(O,A,C) & para(A,B,C,D) -> eqratio(O,A,A,C,O,B,B,D))) # label(ruleD65) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 36 (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]. 0.76/1.07 37 (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]. 0.76/1.07 38 (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]. 0.76/1.07 39 (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]. 0.76/1.07 40 (all A all B all C all D all P all Q all U all V (cong(P,Q,U,V) & eqratio(A,B,C,D,P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 41 (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]. 0.76/1.07 42 (all A all B all C all D exists O (cyclic(A,B,C,D) & perp(A,C,C,B) -> circle(O,A,B,C))) # label(ruleX14) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 43 (all A all B all C all E all F exists P (coll(B,E,F) & perp(A,C,C,B) -> perp(P,A,E,F) & coll(P,E,F))) # label(ruleX15) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 44 (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]. 0.76/1.07 45 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 46 (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]. 0.76/1.07 47 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 48 (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]. 0.76/1.07 49 (all A all B all C all D all E all F (perp(C,D,E,F) & perp(A,B,C,D) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 50 (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]. 0.76/1.07 51 (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]. 0.76/1.07 52 (all A all B all C all D all E all F (perp(C,D,E,F) & para(A,B,C,D) -> perp(A,B,E,F))) # label(ruleD10) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 53 (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]. 0.76/1.07 54 (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]. 0.76/1.07 55 (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]. 0.76/1.07 56 (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]. 0.76/1.07 57 (all A all B all C all O all M (midp(M,B,C) & circle(O,A,B,C) -> eqangle(A,B,A,C,O,B,O,M))) # label(ruleD50) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 58 (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(D,A,B) & coll(C,A,B) -> midp(P,A,Q))) # label(ruleX7) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 59 (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]. 0.76/1.07 60 (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]. 0.76/1.07 61 (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]. 0.76/1.07 62 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 63 (all A all B all C all D all M all N exists P (midp(M,A,B) & midp(N,C,D) -> para(P,N,A,C) & para(P,M,B,D) & midp(P,A,D))) # label(ruleX6) # label(axiom) # label(non_clause). [assumption]. 0.76/1.07 64 (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]. 0.76/1.08 65 (all A all B all C all D (para(A,B,C,D) & cyclic(A,B,C,D) -> eqangle(A,D,C,D,C,D,C,B))) # label(ruleD54) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 66 (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]. 0.76/1.08 67 (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]. 0.76/1.08 68 (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]. 0.76/1.08 69 (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) & cong(B,C,B,P) & para(P,C,A,B))) # label(ruleX9) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 70 (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]. 0.76/1.08 71 (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]. 0.76/1.08 72 (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]. 0.76/1.08 73 (all A all B all C all P all Q all R (cyclic(A,B,C,P) & eqangle(C,A,C,B,R,P,R,Q) & cyclic(A,B,C,R) & cyclic(A,B,C,Q) -> cong(A,B,P,Q))) # label(ruleD43) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 74 (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]. 0.76/1.08 75 (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]. 0.76/1.08 76 (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]. 0.76/1.08 77 (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]. 0.76/1.08 78 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 79 (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,O,X) & coll(B,A,M))) # label(ruleX1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 80 (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]. 0.76/1.08 81 (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]. 0.76/1.08 82 (all A all B all C all O all X (perp(O,A,A,X) & circle(O,A,B,C) -> eqangle(A,X,A,B,C,A,C,B))) # label(ruleD48) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 83 (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]. 0.76/1.08 84 (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]. 0.76/1.08 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(A,B,P,Q,C,D,U,V))) # label(ruleD21) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 86 (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]. 0.76/1.08 87 (all A all B all C all D all M (midp(M,C,D) & midp(M,A,B) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 88 (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]. 0.76/1.08 89 (all A all B all M all P all Q all R all M exists X (para(A,P,R,M) & coll(P,Q,R) & para(A,P,B,Q) & midp(M,A,B) -> coll(X,M,R) & coll(X,A,Q))) # label(ruleX8) # label(axiom) # label(non_clause). [assumption]. 0.76/1.08 90 (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) & N != M & circle(M,A,B,C) -> 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]. 0.76/1.08 91 (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]. 0.76/1.08 92 (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]. 0.76/1.08 93 (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]. 0.76/1.08 94 (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]. 0.76/1.08 95 -(all A all B all E all G all D all C all F all H all NWPNT1 all NWPNT2 all NWPNT3 (circle(E,A,G,NWPNT3) & perp(E,G,G,D) & para(A,D,C,B) & midp(F,C,D) & coll(H,A,B) & perp(H,F,A,B) & coll(C,G,D) & circle(E,A,NWPNT1,NWPNT2) & midp(E,A,B) -> perp(C,H,D,H))) # label(exemplo6GDDFULL81109104) # label(negated_conjecture) # label(non_clause). [assumption]. 0.76/1.08 0.76/1.08 ============================== end of process non-clausal formulas === 0.76/1.08 0.76/1.08 ============================== PROCESS INITIAL CLAUSES =============== 0.76/1.08 0.76/1.08 ============================== PREDICATE ELIMINATION ================= 0.76/1.08 96 -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | circle(f6(A,B,C,D,E),A,B,C) # label(ruleX13) # label(axiom). [clausify(26)]. 0.76/1.08 97 -circle(A,B,C,D) | -eqangle(B,C,B,D,A,C,A,E) | -coll(E,C,D) | midp(E,C,D) # label(ruleD51) # label(axiom). [clausify(6)]. 0.76/1.08 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(7)]. 0.76/1.08 Derived: -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B) | -eqangle(A,B,A,C,f6(A,B,C,D,E),B,f6(A,B,C,D,E),F) | -coll(F,B,C) | midp(F,B,C). [resolve(96,d,97,a)]. 0.76/1.08 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(f6(A,B,C,D,E),A,A,F). [resolve(96,d,98,a)]. 0.76/1.08 99 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(29)]. 0.76/1.08 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(99,c,97,a)]. 0.76/1.08 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(99,c,98,a)]. 0.76/1.08 100 -cyclic(A,B,C,D) | -perp(A,C,C,B) | circle(f10(A,B,C,D),A,B,C) # label(ruleX14) # label(axiom). [clausify(42)]. 0.76/1.08 Derived: -cyclic(A,B,C,D) | -perp(A,C,C,B) | -eqangle(A,B,A,C,f10(A,B,C,D),B,f10(A,B,C,D),E) | -coll(E,B,C) | midp(E,B,C). [resolve(100,c,97,a)]. 0.76/1.08 Derived: -cyclic(A,B,C,D) | -perp(A,C,C,B) | -eqangle(A,E,A,B,C,A,C,B) | perp(f10(A,B,C,D),A,A,E). [resolve(100,c,98,a)]. 0.76/1.08 101 -midp(A,B,C) | -circle(D,E,B,C) | eqangle(E,B,E,C,D,B,D,A) # label(ruleD50) # label(axiom). [clausify(57)]. 0.76/1.08 Derived: -midp(A,B,C) | eqangle(D,B,D,C,f6(D,B,C,E,F),B,f6(D,B,C,E,F),A) | -cyclic(D,B,C,E) | -para(D,B,C,E) | -midp(F,D,B). [resolve(101,b,96,d)]. 0.76/1.08 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(101,b,99,c)]. 0.76/1.08 Derived: -midp(A,B,C) | eqangle(D,B,D,C,f10(D,B,C,E),B,f10(D,B,C,E),A) | -cyclic(D,B,C,E) | -perp(D,C,C,B). [resolve(101,b,100,c)]. 0.76/1.08 102 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(59)]. 0.76/1.08 Derived: -coll(f6(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(102,a,96,d)]. 0.76/1.08 Derived: -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(102,a,99,c)]. 0.76/1.08 Derived: -coll(f10(A,B,C,D),A,C) | perp(A,B,B,C) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(102,a,100,c)]. 0.76/1.08 103 -circle(A,B,C,D) | perp(f16(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(75)]. 0.76/1.08 Derived: perp(f16(A,B,C,f6(A,B,C,D,E)),A,A,f6(A,B,C,D,E)) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(103,a,96,d)]. 0.76/1.08 Derived: perp(f16(A,B,C,D),A,A,D) | -cong(D,A,D,B) | -cong(D,A,D,C). [resolve(103,a,99,c)]. 0.76/1.08 Derived: perp(f16(A,B,C,f10(A,B,C,D)),A,A,f10(A,B,C,D)) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(103,a,100,c)]. 0.76/1.08 104 -perp(A,B,B,C) | -circle(A,B,D,E) | eqangle(B,C,B,D,E,B,E,D) # label(ruleD48) # label(axiom). [clausify(82)]. 0.76/1.08 Derived: -perp(f6(A,B,C,D,E),A,A,F) | eqangle(A,F,A,B,C,A,C,B) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(104,b,96,d)]. 0.76/1.08 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(104,b,99,c)]. 0.76/1.08 Derived: -perp(f10(A,B,C,D),A,A,E) | eqangle(A,E,A,B,C,A,C,B) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(104,b,100,c)]. 0.76/1.08 105 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f19(B,E,F,C,A,D),B,F) # label(ruleX12) # label(axiom). [clausify(90)]. 0.76/1.08 Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | coll(f19(A,B,C,F,f6(A,B,C,D,E),V6),A,C) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(105,d,96,d)]. 0.76/1.08 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f19(B,E,F,C,A,D),B,F) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(105,d,99,c)]. 0.76/1.08 Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | coll(f19(A,B,C,E,f10(A,B,C,D),F),A,C) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(105,d,100,c)]. 0.76/1.08 106 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f19(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom). [clausify(90)]. 0.76/1.08 Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | cong(f19(A,B,C,F,f6(A,B,C,D,E),V6),V6,V6,A) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(106,d,96,d)]. 0.76/1.08 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f19(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(106,d,99,c)]. 0.76/1.08 Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | cong(f19(A,B,C,E,f10(A,B,C,D),F),F,F,A) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(106,d,100,c)]. 0.76/1.08 107 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | coll(f20(B,E,F,C,A,D),E,C) # label(ruleX12) # label(axiom). [clausify(90)]. 0.76/1.08 Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | coll(f20(A,B,C,F,f6(A,B,C,D,E),V6),B,F) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(107,d,96,d)]. 0.76/1.08 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | coll(f20(B,E,F,C,A,D),E,C) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(107,d,99,c)]. 0.76/1.08 Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | coll(f20(A,B,C,E,f10(A,B,C,D),F),B,E) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(107,d,100,c)]. 0.76/1.08 108 -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | -circle(A,B,E,F) | cong(f20(B,E,F,C,A,D),D,D,B) # label(ruleX12) # label(axiom). [clausify(90)]. 0.76/1.08 Derived: -cong(f6(A,B,C,D,E),A,f6(A,B,C,D,E),F) | -cong(V6,A,V6,B) | V6 = f6(A,B,C,D,E) | cong(f20(A,B,C,F,f6(A,B,C,D,E),V6),V6,V6,A) | -cyclic(A,B,C,D) | -para(A,B,C,D) | -midp(E,A,B). [resolve(108,d,96,d)]. 0.76/1.08 Derived: -cong(A,B,A,C) | -cong(D,B,D,E) | D = A | cong(f20(B,E,F,C,A,D),D,D,B) | -cong(A,B,A,E) | -cong(A,B,A,F). [resolve(108,d,99,c)]. 0.76/1.08 Derived: -cong(f10(A,B,C,D),A,f10(A,B,C,D),E) | -cong(F,A,F,B) | F = f10(A,B,C,D) | cong(f20(A,B,C,E,f10(A,B,C,D),F),F,F,A) | -cyclic(A,B,C,D) | -perp(A,C,C,B). [resolve(108,d,100,c)]. 0.76/1.08 109 circle(c3,c1,c4,c11) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 0.76/1.08 Derived: -eqangle(c1,c4,c1,c11,c3,c4,c3,A) | -coll(A,c4,c11) | midp(A,c4,c11). [resolve(109,a,97,a)]. 0.76/1.08 Derived: -eqangle(c1,A,c1,c4,c11,c1,c11,c4) | perp(c3,c1,c1,A). [resolve(109,a,98,a)]. 0.76/1.08 Derived: -midp(A,c4,c11) | eqangle(c1,c4,c1,c11,c3,c4,c3,A). [resolve(109,a,101,b)]. 0.76/1.08 Derived: -coll(c3,c1,c11) | perp(c1,c4,c4,c11). [resolve(109,a,102,a)]. 0.76/1.08 Derived: perp(f16(c1,c4,c11,c3),c1,c1,c3). [resolve(109,a,103,a)]. 0.76/1.08 Derived: -perp(c3,c1,c1,A) | eqangle(c1,A,c1,c4,c11,c1,c11,c4). [resolve(109,a,104,b)]. 0.76/1.08 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | coll(f19(c1,c4,c11,A,c3,B),c1,c11). [resolve(109,a,105,d)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | cong(f19(c1,c4,c11,A,c3,B),B,B,c1). [resolve(109,a,106,d)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | coll(f20(c1,c4,c11,A,c3,B),c4,A). [resolve(109,a,107,d)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c4) | B = c3 | cong(f20(c1,c4,c11,A,c3,B),B,B,c1). [resolve(109,a,108,d)]. 7.38/7.74 110 circle(c3,c1,c9,c10) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 Derived: -eqangle(c1,c9,c1,c10,c3,c9,c3,A) | -coll(A,c9,c10) | midp(A,c9,c10). [resolve(110,a,97,a)]. 7.38/7.74 Derived: -eqangle(c1,A,c1,c9,c10,c1,c10,c9) | perp(c3,c1,c1,A). [resolve(110,a,98,a)]. 7.38/7.74 Derived: -midp(A,c9,c10) | eqangle(c1,c9,c1,c10,c3,c9,c3,A). [resolve(110,a,101,b)]. 7.38/7.74 Derived: -coll(c3,c1,c10) | perp(c1,c9,c9,c10). [resolve(110,a,102,a)]. 7.38/7.74 Derived: perp(f16(c1,c9,c10,c3),c1,c1,c3). [resolve(110,a,103,a)]. 7.38/7.74 Derived: -perp(c3,c1,c1,A) | eqangle(c1,A,c1,c9,c10,c1,c10,c9). [resolve(110,a,104,b)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c9) | B = c3 | coll(f19(c1,c9,c10,A,c3,B),c1,c10). [resolve(110,a,105,d)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c9) | B = c3 | cong(f19(c1,c9,c10,A,c3,B),B,B,c1). [resolve(110,a,106,d)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c9) | B = c3 | coll(f20(c1,c9,c10,A,c3,B),c9,A). [resolve(110,a,107,d)]. 7.38/7.74 Derived: -cong(c3,c1,c3,A) | -cong(B,c1,B,c9) | B = c3 | cong(f20(c1,c9,c10,A,c3,B),B,B,c1). [resolve(110,a,108,d)]. 7.38/7.74 7.38/7.74 ============================== end predicate elimination ============= 7.38/7.74 7.38/7.74 Auto_denials: (non-Horn, no changes). 7.38/7.74 7.38/7.74 Term ordering decisions: 7.38/7.74 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. f15=1. f1=1. f2=1. f3=1. f5=1. f8=1. f10=1. f16=1. f17=1. f4=1. f6=1. f9=1. f11=1. f14=1. f7=1. f13=1. f19=1. f20=1. f12=1. f18=1. 7.38/7.74 7.38/7.74 ============================== end of process initial clauses ======== 7.38/7.74 7.38/7.74 ============================== CLAUSES FOR SEARCH ==================== 7.38/7.74 7.38/7.74 ============================== end of clauses for search ============= 7.38/7.74 7.38/7.74 ============================== SEARCH ================================ 7.38/7.74 7.38/7.74 % Starting search at 0.05 seconds. 7.38/7.74 7.38/7.74 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1396 (0.00 of 0.23 sec). 7.38/7.74 7.38/7.74 Low Water (keep): wt=39.000, iters=3370 7.38/7.74 7.38/7.74 Low Water (keep): wt=29.000, iters=3388 7.38/7.74 7.38/7.74 Low Water (keep): wt=28.000, iters=3403 7.38/7.74 7.38/7.74 Low Water (keep): wt=24.000, iters=3366 7.38/7.74 7.38/7.74 Low Water (keep): wt=23.000, iters=3487 7.38/7.74 7.38/7.74 Low Water (keep): wt=22.000, iters=3415 7.38/7.74 7.38/7.74 Low Water (keep): wt=19.000, iters=3347 7.38/7.74 7.38/7.74 Low Water (keep): wt=18.000, iters=3374 7.38/7.74 7.38/7.74 Low Water (keep): wt=17.000, iters=3581 7.38/7.74 7.38/7.74 Low Water (keep): wt=15.000, iters=3335 7.38/7.74 7.38/7.74 Low Water (keep): wt=14.000, iters=3336 7.38/7.74 7.38/7.74 Low Water (keep): wt=13.000, iters=3364 7.38/7.74 7.38/7.74 Low Water (displace): id=7226, wt=48.000 7.38/7.74 7.38/7.74 Low Water (displace): id=13289, wt=12.000 7.38/7.74 7.38/7.74 Low Water (displace): id=13424, wt=10.000 7.38/7.74 7.38/7.74 Low Water (displace): id=13462, wt=9.000 7.38/7.74 7.38/7.74 Low Water (keep): wt=12.000, iters=3335 7.38/7.74 7.38/7.74 Low Water (displace): id=14076, wt=8.000 7.38/7.74 7.38/7.74 Low Water (keep): wt=11.000, iters=3334 7.38/7.74 7.38/7.74 Low Water (displace): id=16399, wt=5.000 7.38/7.74 7.38/7.74 Low Water (keep): wt=10.000, iters=3333 7.38/7.74 7.38/7.74 Low Water (keep): wt=9.000, iters=3338 7.38/7.74 7.38/7.74 Low Water (keep): wt=8.000, iters=3335 7.38/7.74 7.38/7.74 ============================== PROOF ================================= 7.38/7.74 % SZS status Theorem 7.38/7.74 % SZS output start Refutation 7.38/7.74 7.38/7.74 % Proof 1 at 6.54 (+ 0.14) seconds. 7.38/7.74 % Length of proof is 295. 7.38/7.74 % Level of proof is 34. 7.38/7.74 % Maximum clause weight is 20.000. 7.38/7.74 % Given clauses 10430. 7.38/7.74 7.38/7.74 3 (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]. 7.38/7.74 5 (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]. 7.38/7.74 8 (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]. 7.38/7.74 11 (all A all B all C all D all O (cong(O,A,O,D) & cong(O,A,O,C) & cong(O,A,O,B) -> cyclic(A,B,C,D))) # label(ruleD13) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 14 (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]. 7.38/7.74 15 (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]. 7.38/7.74 17 (all A all B all C (coll(A,B,C) -> coll(B,A,C))) # label(ruleD2) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 18 (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]. 7.38/7.74 19 (all A all B all C all D all E all F (cong(C,D,E,F) & cong(A,B,C,D) -> cong(A,B,E,F))) # label(ruleD25) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 20 (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]. 7.38/7.74 22 (all A all B all C (midp(A,B,C) -> cong(A,B,A,C))) # label(ruleD68) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 23 (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]. 7.38/7.74 29 (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]. 7.38/7.74 38 (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]. 7.38/7.74 39 (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]. 7.38/7.74 40 (all A all B all C all D all P all Q all U all V (cong(P,Q,U,V) & eqratio(A,B,C,D,P,Q,U,V) -> cong(A,B,C,D))) # label(ruleD75) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 44 (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]. 7.38/7.74 45 (all A all B all C (para(A,B,A,C) -> coll(A,B,C))) # label(ruleD66) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 46 (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]. 7.38/7.74 47 (all A all B all M (midp(M,B,A) -> midp(M,A,B))) # label(ruleD11) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 48 (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]. 7.38/7.74 49 (all A all B all C all D all E all F (perp(C,D,E,F) & perp(A,B,C,D) -> para(A,B,E,F))) # label(ruleD9) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 53 (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]. 7.38/7.74 56 (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]. 7.38/7.74 59 (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]. 7.38/7.74 62 (all A all B all C (coll(A,B,C) -> coll(A,C,B))) # label(ruleD1) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 64 (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]. 7.38/7.74 68 (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]. 7.38/7.74 75 (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]. 7.38/7.74 78 (all A all B all C (midp(A,B,C) -> coll(A,B,C))) # label(ruleD69) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 84 (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]. 7.38/7.74 87 (all A all B all C all D all M (midp(M,C,D) & midp(M,A,B) -> para(A,C,B,D))) # label(ruleD63) # label(axiom) # label(non_clause). [assumption]. 7.38/7.74 92 (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]. 7.38/7.74 93 (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]. 7.38/7.74 95 -(all A all B all E all G all D all C all F all H all NWPNT1 all NWPNT2 all NWPNT3 (circle(E,A,G,NWPNT3) & perp(E,G,G,D) & para(A,D,C,B) & midp(F,C,D) & coll(H,A,B) & perp(H,F,A,B) & coll(C,G,D) & circle(E,A,NWPNT1,NWPNT2) & midp(E,A,B) -> perp(C,H,D,H))) # label(exemplo6GDDFULL81109104) # label(negated_conjecture) # label(non_clause). [assumption]. 7.38/7.74 99 -cong(A,B,A,C) | -cong(A,B,A,D) | circle(A,B,C,D) # label(ruleD12) # label(axiom). [clausify(29)]. 7.38/7.74 102 -circle(A,B,C,D) | -coll(A,B,D) | perp(B,C,C,D) # label(ruleD53) # label(axiom). [clausify(59)]. 7.38/7.74 103 -circle(A,B,C,D) | perp(f16(B,C,D,A),B,B,A) # label(ruleX11) # label(axiom). [clausify(75)]. 7.38/7.74 109 circle(c3,c1,c4,c11) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 116 -para(A,B,C,D) | para(C,D,A,B) # label(ruleD5) # label(axiom). [clausify(3)]. 7.38/7.74 118 -cyclic(A,B,C,D) | cyclic(A,C,B,D) # label(ruleD15) # label(axiom). [clausify(5)]. 7.38/7.74 119 -midp(A,B,C) | -para(B,D,C,E) | -para(B,E,C,D) | midp(A,E,D) # label(ruleD64) # label(axiom). [clausify(8)]. 7.38/7.74 123 -cong(A,B,A,C) | -cong(A,B,A,D) | -cong(A,B,A,E) | cyclic(B,E,D,C) # label(ruleD13) # label(axiom). [clausify(11)]. 7.38/7.74 126 -cyclic(A,B,C,D) | -cyclic(A,B,C,E) | cyclic(B,C,D,E) # label(ruleD17) # label(axiom). [clausify(14)]. 7.38/7.74 127 -perp(A,B,C,D) | perp(A,B,D,C) # label(ruleD7) # label(axiom). [clausify(15)]. 7.38/7.74 129 -coll(A,B,C) | coll(B,A,C) # label(ruleD2) # label(axiom). [clausify(17)]. 7.38/7.74 130 -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(18)]. 7.38/7.74 131 -cong(A,B,C,D) | -cong(E,F,A,B) | cong(E,F,C,D) # label(ruleD25) # label(axiom). [clausify(19)]. 7.38/7.74 132 -cyclic(A,B,C,D) | cyclic(A,B,D,C) # label(ruleD14) # label(axiom). [clausify(20)]. 7.38/7.74 135 -midp(A,B,C) | cong(A,B,A,C) # label(ruleD68) # label(axiom). [clausify(22)]. 7.38/7.74 136 -para(A,B,C,D) | -para(C,D,E,F) | para(A,B,E,F) # label(ruleD6) # label(axiom). [clausify(23)]. 7.38/7.74 152 -midp(A,B,C) | -para(A,D,C,E) | -coll(D,B,E) | midp(D,B,E) # label(ruleD45) # label(axiom). [clausify(38)]. 7.38/7.74 153 -perp(A,B,C,D) | perp(C,D,A,B) # label(ruleD8) # label(axiom). [clausify(39)]. 7.38/7.74 154 -cong(A,B,C,D) | -eqratio(E,F,V6,V7,A,B,C,D) | cong(E,F,V6,V7) # label(ruleD75) # label(axiom). [clausify(40)]. 7.38/7.74 158 -para(A,B,C,D) | para(A,B,D,C) # label(ruleD4) # label(axiom). [clausify(44)]. 7.38/7.74 159 -para(A,B,A,C) | coll(A,B,C) # label(ruleD66) # label(axiom). [clausify(45)]. 7.38/7.74 160 -cong(A,B,C,B) | -cong(A,D,C,D) | perp(A,C,B,D) # label(ruleD56) # label(axiom). [clausify(46)]. 7.38/7.74 161 -midp(A,B,C) | midp(A,C,B) # label(ruleD11) # label(axiom). [clausify(47)]. 7.38/7.74 162 -cong(A,B,C,D) | cong(A,B,D,C) # label(ruleD23) # label(axiom). [clausify(48)]. 7.38/7.74 163 -perp(A,B,C,D) | -perp(E,F,A,B) | para(E,F,C,D) # label(ruleD9) # label(axiom). [clausify(49)]. 7.38/7.74 167 -coll(A,B,C) | -coll(A,B,D) | coll(C,D,A) # label(ruleD3) # label(axiom). [clausify(53)]. 7.38/7.74 170 -cong(A,B,C,D) | cong(C,D,A,B) # label(ruleD24) # label(axiom). [clausify(56)]. 7.38/7.74 174 -coll(A,B,C) | coll(A,C,B) # label(ruleD1) # label(axiom). [clausify(62)]. 7.38/7.74 178 -cong(A,B,A,C) | -coll(A,B,C) | midp(A,B,C) # label(ruleD67) # label(axiom). [clausify(64)]. 7.38/7.74 181 -perp(A,B,C,D) | -midp(B,C,D) | cong(A,C,A,D) # label(ruleD55) # label(axiom). [clausify(68)]. 7.38/7.74 193 -midp(A,B,C) | coll(A,B,C) # label(ruleD69) # label(axiom). [clausify(78)]. 7.38/7.74 199 -cyclic(A,B,C,D) | cyclic(B,A,C,D) # label(ruleD16) # label(axiom). [clausify(84)]. 7.38/7.74 202 -midp(A,B,C) | -midp(A,D,E) | para(D,B,E,C) # label(ruleD63) # label(axiom). [clausify(87)]. 7.38/7.74 207 -midp(A,B,C) | -midp(D,E,F) | eqratio(A,B,B,C,D,E,E,F) # label(ruleD70) # label(axiom). [clausify(92)]. 7.38/7.74 208 -midp(A,B,C) | -perp(B,D,D,C) | cong(B,A,D,A) # label(ruleD52) # label(axiom). [clausify(93)]. 7.38/7.74 210 perp(c3,c4,c4,c5) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 211 para(c1,c5,c6,c2) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 212 midp(c7,c6,c5) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 213 coll(c8,c1,c2) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 214 perp(c8,c7,c1,c2) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 215 coll(c6,c4,c5) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 216 midp(c3,c1,c2) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 217 -perp(c6,c8,c5,c8) # label(exemplo6GDDFULL81109104) # label(negated_conjecture). [clausify(95)]. 7.38/7.74 228 -coll(A,B,C) | perp(B,D,D,C) | -cong(A,B,A,D) | -cong(A,B,A,C). [resolve(102,a,99,c)]. 7.38/7.74 260 perp(f16(c1,c4,c11,c3),c1,c1,c3). [resolve(109,a,103,a)]. 7.38/7.74 288 -midp(A,B,C) | -para(B,D,C,D) | midp(A,D,D). [factor(119,b,c)]. 7.38/7.74 289 -cong(A,B,A,C) | -cong(A,B,A,D) | cyclic(B,D,C,C). [factor(123,a,b)]. 7.38/7.74 304 -coll(A,B,C) | coll(C,C,A). [factor(167,a,b)]. 7.38/7.74 323 -coll(A,B,C) | perp(B,C,C,C) | -cong(A,B,A,C). [factor(228,c,d)]. 7.38/7.74 338 -cong(A,B,A,C) | cyclic(B,C,C,C). [factor(289,a,b)]. 7.38/7.74 354 -perp(c4,c5,A,B) | para(c3,c4,A,B). [resolve(210,a,163,b)]. 7.38/7.74 358 perp(c4,c5,c3,c4). [resolve(210,a,153,a)]. 7.38/7.74 376 para(c1,c5,c2,c6). [resolve(211,a,158,a)]. 7.38/7.74 381 -para(A,B,c1,c5) | para(A,B,c6,c2). [resolve(211,a,136,b)]. 7.38/7.74 382 -para(c6,c2,A,B) | para(c1,c5,A,B). [resolve(211,a,136,a)]. 7.38/7.74 385 para(c6,c2,c1,c5). [resolve(211,a,116,a)]. 7.38/7.74 390 -midp(c7,A,B) | para(c6,A,c5,B). [resolve(212,a,202,b)]. 7.38/7.74 391 -midp(c7,A,B) | para(A,c6,B,c5). [resolve(212,a,202,a)]. 7.38/7.74 392 coll(c7,c6,c5). [resolve(212,a,193,a)]. 7.38/7.74 401 midp(c7,c5,c6). [resolve(212,a,161,a)]. 7.38/7.74 402 cong(c7,c6,c7,c5). [resolve(212,a,135,a)]. 7.38/7.74 404 coll(c8,c2,c1). [resolve(213,a,174,a)]. 7.38/7.74 405 -coll(c8,c1,A) | coll(A,c2,c8). [resolve(213,a,167,b)]. 7.38/7.74 407 coll(c1,c8,c2). [resolve(213,a,129,a)]. 7.38/7.74 409 -perp(c1,c2,A,B) | para(c8,c7,A,B). [resolve(214,a,163,b)]. 7.38/7.74 410 -perp(A,B,c8,c7) | para(A,B,c1,c2). [resolve(214,a,163,a)]. 7.38/7.74 411 perp(c1,c2,c8,c7). [resolve(214,a,153,a)]. 7.38/7.74 423 coll(c6,c5,c4). [resolve(215,a,174,a)]. 7.38/7.74 433 coll(c3,c1,c2). [resolve(216,a,193,a)]. 7.38/7.74 442 midp(c3,c2,c1). [resolve(216,a,161,a)]. 7.38/7.74 443 cong(c3,c1,c3,c2). [resolve(216,a,135,a)]. 7.38/7.74 456 -perp(A,B,f16(c1,c4,c11,c3),c1) | para(A,B,c1,c3). [resolve(260,a,163,a)]. 7.38/7.74 459 perp(c1,c3,f16(c1,c4,c11,c3),c1). [resolve(260,a,153,a)]. 7.38/7.74 497 coll(c5,c5,c6). [resolve(304,a,215,a)]. 7.38/7.74 498 coll(c2,c2,c8). [resolve(304,a,213,a)]. 7.38/7.74 515 coll(c5,c5,c7). [resolve(392,a,304,a)]. 7.38/7.74 516 coll(c7,c5,c6). [resolve(392,a,174,a)]. 7.38/7.74 519 coll(c6,c7,c5). [resolve(392,a,129,a)]. 7.38/7.74 529 -midp(A,B,C) | eqratio(c7,c5,c5,c6,A,B,B,C). [resolve(401,a,207,a)]. 7.38/7.74 542 cong(c7,c5,c7,c6). [resolve(401,a,135,a)]. 7.38/7.74 543 coll(c1,c1,c8). [resolve(404,a,304,a)]. 7.38/7.74 548 coll(c1,c2,c8). [resolve(407,a,174,a)]. 7.38/7.74 549 -coll(c1,c8,A) | coll(A,c2,c1). [resolve(407,a,167,b)]. 7.38/7.74 551 coll(c4,c4,c6). [resolve(423,a,304,a)]. 7.38/7.74 560 coll(c3,c2,c1). [resolve(433,a,174,a)]. 7.38/7.74 563 coll(c1,c3,c2). [resolve(433,a,129,a)]. 7.38/7.74 586 cong(c3,c2,c3,c1). [resolve(442,a,135,a)]. 7.38/7.74 589 -coll(c5,c5,A) | coll(A,c6,c5). [resolve(497,a,167,b)]. 7.38/7.74 594 -coll(c2,c2,A) | coll(A,c8,c2). [resolve(498,a,167,b)]. 7.38/7.74 597 coll(c5,c7,c5). [resolve(515,a,174,a)]. 7.38/7.74 598 -coll(c5,c5,A) | coll(A,c7,c5). [resolve(515,a,167,b)]. 7.38/7.74 603 coll(c5,c7,c6). [resolve(516,a,129,a)]. 7.38/7.74 609 -coll(c1,c1,A) | coll(A,c8,c1). [resolve(543,a,167,b)]. 7.38/7.74 624 -coll(c4,c4,A) | coll(A,c6,c4). [resolve(551,a,167,b)]. 7.38/7.74 639 coll(c1,c1,c3). [resolve(560,a,304,a)]. 7.38/7.74 643 coll(c1,c2,c3). [resolve(563,a,174,a)]. 7.38/7.74 729 para(c3,c4,c3,c4). [resolve(358,a,354,a)]. 7.38/7.74 748 coll(c1,c3,c1). [resolve(639,a,174,a)]. 7.38/7.74 835 coll(c3,c1,c1). [resolve(748,a,129,a)]. 7.38/7.74 887 -midp(c1,A,c2) | -coll(c5,A,c6) | midp(c5,A,c6). [resolve(376,a,152,b)]. 7.38/7.74 895 para(c2,c6,c1,c5). [resolve(376,a,116,a)]. 7.38/7.74 904 para(c6,c2,c5,c1). [resolve(385,a,158,a)]. 7.38/7.74 989 cong(c7,c6,c5,c7). [resolve(402,a,162,a)]. 7.38/7.74 1071 perp(c1,c2,c2,c2). [resolve(443,a,323,c),unit_del(a,433)]. 7.38/7.74 1110 -cong(c3,c2,A,B) | cong(c3,c1,A,B). [resolve(443,a,131,b)]. 7.38/7.74 1207 cyclic(c5,c6,c6,c6). [resolve(542,a,338,a)]. 7.38/7.74 1245 perp(c5,c6,c6,c6). [resolve(542,a,323,c),unit_del(a,516)]. 7.38/7.74 1275 cong(c7,c5,c6,c7). [resolve(542,a,162,a)]. 7.38/7.74 1355 perp(c2,c1,c1,c1). [resolve(586,a,323,c),unit_del(a,560)]. 7.38/7.74 1385 cong(c3,c2,c1,c3). [resolve(586,a,162,a)]. 7.38/7.74 1418 coll(c3,c4,c4). [resolve(729,a,159,a)]. 7.38/7.74 1424 coll(c4,c4,c3). [resolve(1418,a,304,a)]. 7.38/7.74 1495 para(c5,c1,c6,c2). [resolve(904,a,116,a)]. 7.38/7.74 1539 cong(c5,c7,c7,c6). [resolve(989,a,170,a)]. 7.38/7.74 1671 cyclic(c6,c5,c6,c6). [resolve(1207,a,199,a)]. 7.38/7.74 1675 para(c2,c6,c6,c2). [resolve(381,a,895,a)]. 7.38/7.74 1676 para(c6,c2,c6,c2). [resolve(381,a,385,a)]. 7.38/7.74 1679 -midp(A,c5,c6) | cong(c5,A,c6,A). [resolve(1245,a,208,b)]. 7.38/7.74 1700 cong(c6,c7,c7,c5). [resolve(1275,a,170,a)]. 7.38/7.74 1736 para(c1,c5,c5,c1). [resolve(382,a,904,a)]. 7.38/7.74 1737 para(c1,c5,c1,c5). [resolve(382,a,385,a)]. 7.38/7.74 1750 perp(c1,c1,c2,c1). [resolve(1355,a,153,a)]. 7.38/7.74 1762 -cong(c1,c3,A,B) | cong(c3,c2,A,B). [resolve(1385,a,131,b)]. 7.38/7.74 1870 -midp(c5,A,c6) | -coll(c1,A,c2) | midp(c1,A,c2). [resolve(1495,a,152,b)]. 7.38/7.74 1932 cong(c5,c7,c6,c7). [resolve(1539,a,162,a)]. 7.38/7.74 2056 cyclic(c6,c6,c5,c6). [resolve(1671,a,118,a)]. 7.38/7.74 2067 para(c2,c6,c2,c6). [resolve(1675,a,158,a)]. 7.38/7.74 2082 coll(c6,c2,c2). [resolve(1676,a,159,a)]. 7.38/7.74 2087 coll(c2,c2,c6). [resolve(2082,a,304,a)]. 7.38/7.74 2106 para(c6,c5,c5,c6). [resolve(390,a,401,a)]. 7.38/7.74 2123 -cong(c7,c5,A,B) | cong(c6,c7,A,B). [resolve(1700,a,131,b)]. 7.38/7.74 2142 para(c5,c6,c6,c5). [resolve(391,a,401,a)]. 7.38/7.74 2183 para(c5,c1,c1,c5). [resolve(1736,a,116,a)]. 7.38/7.74 2190 -midp(A,c1,c1) | midp(A,c5,c5). [resolve(1737,a,288,b)]. 7.38/7.74 2196 coll(c1,c5,c5). [resolve(1737,a,159,a)]. 7.38/7.74 2201 coll(c5,c5,c1). [resolve(2196,a,304,a)]. 7.38/7.74 2214 coll(c1,c1,c5). [resolve(2201,a,304,a)]. 7.38/7.74 2240 perp(c1,c1,c1,c2). [resolve(1750,a,127,a)]. 7.38/7.74 2357 -cong(c5,A,c6,A) | perp(c5,c6,c7,A). [resolve(1932,a,160,a)]. 7.38/7.74 2358 -cong(c6,c7,A,B) | cong(c5,c7,A,B). [resolve(1932,a,131,b)]. 7.38/7.74 2433 cyclic(c6,c6,c6,c5). [resolve(2056,a,132,a)]. 7.38/7.74 2438 -midp(A,c2,c2) | midp(A,c6,c6). [resolve(2067,a,288,b)]. 7.38/7.74 2444 -midp(c2,A,c2) | -coll(c6,A,c6) | midp(c6,A,c6). [resolve(2067,a,152,b)]. 7.38/7.74 2477 -midp(c6,A,c5) | -coll(c5,A,c6) | midp(c5,A,c6). [resolve(2106,a,152,b)]. 7.38/7.74 2522 -midp(c5,A,c6) | -coll(c6,A,c5) | midp(c6,A,c5). [resolve(2142,a,152,b)]. 7.38/7.74 2554 para(c5,c1,c5,c1). [resolve(2183,a,158,a)]. 7.38/7.74 2576 perp(c1,c2,c1,c1). [resolve(2240,a,153,a)]. 7.38/7.74 2711 -cyclic(c6,c6,c6,A) | cyclic(c6,c6,A,c5). [resolve(2433,a,126,b)]. 7.38/7.74 2792 -midp(c5,A,c5) | -coll(c1,A,c1) | midp(c1,A,c1). [resolve(2554,a,152,b)]. 7.38/7.74 2873 para(c8,c7,c1,c1). [resolve(409,a,2576,a)]. 7.38/7.74 2874 para(c8,c7,c2,c2). [resolve(409,a,1071,a)]. 7.38/7.74 2941 para(c1,c2,c1,c2). [resolve(410,a,411,a)]. 7.38/7.74 3029 para(c1,c1,c8,c7). [resolve(2873,a,116,a)]. 7.38/7.74 3046 para(c2,c2,c8,c7). [resolve(2874,a,116,a)]. 7.38/7.74 3162 -midp(A,c1,c1) | midp(A,c2,c2). [resolve(2941,a,288,b)]. 7.38/7.74 3168 -midp(c1,A,c1) | -coll(c2,A,c2) | midp(c2,A,c2). [resolve(2941,a,152,b)]. 7.38/7.74 3269 para(c1,c1,c7,c8). [resolve(3029,a,158,a)]. 7.38/7.74 3286 para(c2,c2,c7,c8). [resolve(3046,a,158,a)]. 7.38/7.74 3363 -midp(c1,A,c7) | -coll(c1,A,c8) | midp(c1,A,c8). [resolve(3269,a,152,b)]. 7.38/7.74 3380 -midp(c2,A,c7) | -coll(c2,A,c8) | midp(c2,A,c8). [resolve(3286,a,152,b)]. 7.38/7.74 3637 coll(c6,c8,c2). [resolve(594,a,2087,a)]. 7.38/7.74 3639 coll(c6,c2,c8). [resolve(3637,a,174,a)]. 7.38/7.74 3647 coll(c8,c8,c6). [resolve(3639,a,304,a)]. 7.38/7.74 3661 coll(c6,c6,c8). [resolve(3647,a,304,a)]. 7.38/7.74 3683 coll(c6,c8,c6). [resolve(3661,a,174,a)]. 7.38/7.74 3778 coll(c1,c7,c5). [resolve(598,a,2201,a)]. 7.38/7.74 3779 coll(c1,c5,c7). [resolve(3778,a,174,a)]. 7.38/7.74 3783 coll(c7,c7,c1). [resolve(3779,a,304,a)]. 7.38/7.74 3792 coll(c1,c1,c7). [resolve(3783,a,304,a)]. 7.38/7.74 3803 coll(c1,c7,c1). [resolve(3792,a,174,a)]. 7.38/7.74 3868 para(c1,c3,c1,c3). [resolve(459,a,456,a)]. 7.38/7.74 3916 para(c1,c3,c3,c1). [resolve(3868,a,158,a)]. 7.38/7.74 3936 para(c3,c1,c1,c3). [resolve(3916,a,116,a)]. 7.38/7.74 3947 para(c3,c1,c3,c1). [resolve(3936,a,158,a)]. 7.38/7.74 3948 -midp(c3,A,c1) | -coll(c1,A,c3) | midp(c1,A,c3). [resolve(3936,a,152,b)]. 7.38/7.74 3955 -midp(A,c3,c3) | midp(A,c1,c1). [resolve(3947,a,288,b)]. 7.38/7.74 3965 coll(c7,c8,c1). [resolve(609,a,3792,a)]. 7.38/7.74 3967 coll(c5,c8,c1). [resolve(609,a,2214,a)]. 7.38/7.74 3968 coll(c7,c1,c8). [resolve(3965,a,174,a)]. 7.38/7.74 3971 coll(c8,c7,c1). [resolve(3965,a,129,a)]. 7.38/7.74 3978 coll(c5,c1,c8). [resolve(3967,a,174,a)]. 7.38/7.74 3984 coll(c1,c7,c8). [resolve(3968,a,129,a)]. 7.38/7.74 3987 coll(c8,c1,c7). [resolve(3971,a,174,a)]. 7.38/7.74 3999 coll(c8,c8,c5). [resolve(3978,a,304,a)]. 7.38/7.74 4006 coll(c1,c8,c7). [resolve(3984,a,174,a)]. 7.38/7.74 4012 coll(c7,c2,c8). [resolve(3987,a,405,a)]. 7.38/7.74 4028 coll(c5,c5,c8). [resolve(3999,a,304,a)]. 7.38/7.74 4042 coll(c7,c2,c1). [resolve(4006,a,549,a)]. 7.38/7.74 4050 coll(c7,c8,c2). [resolve(4012,a,174,a)]. 7.38/7.74 4072 coll(c8,c6,c5). [resolve(4028,a,589,a)]. 7.38/7.74 4101 coll(c7,c1,c2). [resolve(4042,a,174,a)]. 7.38/7.74 4108 coll(c2,c2,c7). [resolve(4050,a,304,a)]. 7.38/7.74 4140 coll(c8,c5,c6). [resolve(4072,a,174,a)]. 7.38/7.74 4179 coll(c1,c7,c2). [resolve(4101,a,129,a)]. 7.38/7.74 4185 coll(c2,c7,c2). [resolve(4108,a,174,a)]. 7.38/7.74 4229 coll(c5,c8,c6). [resolve(4140,a,129,a)]. 7.38/7.74 4626 coll(c3,c6,c4). [resolve(624,a,1424,a)]. 7.38/7.74 4648 coll(c3,c4,c6). [resolve(4626,a,174,a)]. 7.38/7.74 4656 coll(c6,c6,c3). [resolve(4648,a,304,a)]. 7.38/7.74 4663 coll(c3,c3,c6). [resolve(4656,a,304,a)]. 7.38/7.74 4723 coll(c3,c6,c3). [resolve(4663,a,174,a)]. 7.38/7.74 4796 coll(c6,c3,c3). [resolve(4723,a,129,a)]. 7.38/7.74 5055 eqratio(c7,c5,c5,c6,c3,c2,c2,c1). [resolve(529,a,442,a)]. 7.38/7.74 11451 cong(c3,c1,c3,c1). [resolve(1110,a,586,a)]. 7.38/7.74 11476 midp(c3,c1,c1). [resolve(11451,a,178,a),unit_del(a,835)]. 7.38/7.74 11486 midp(c3,c2,c2). [resolve(11476,a,3162,a)]. 7.38/7.74 11615 midp(c3,c6,c6). [resolve(11486,a,2438,a)]. 7.38/7.74 11843 cong(c3,c6,c3,c6). [resolve(11615,a,135,a)]. 7.38/7.74 12200 cong(c3,c6,c6,c3). [resolve(11843,a,162,a)]. 7.38/7.74 13185 cong(c6,c3,c3,c6). [resolve(12200,a,170,a)]. 7.38/7.74 13552 cong(c6,c3,c6,c3). [resolve(13185,a,162,a)]. 7.38/7.74 14536 midp(c6,c3,c3). [resolve(13552,a,178,a),unit_del(a,4796)]. 7.38/7.74 14542 midp(c6,c1,c1). [resolve(14536,a,3955,a)]. 7.38/7.74 14601 midp(c6,c5,c5). [resolve(14542,a,2190,a)]. 7.38/7.74 22835 midp(c5,c5,c6). [resolve(2477,a,14601,a),unit_del(a,497)]. 7.38/7.74 22869 cong(c5,c5,c6,c5). [resolve(22835,a,1679,a)]. 7.38/7.74 23514 perp(c5,c6,c7,c5). [resolve(22869,a,2357,a)]. 7.38/7.74 24160 -midp(c6,c7,c5) | cong(c5,c7,c5,c5). [resolve(23514,a,181,a)]. 7.38/7.74 27379 midp(c1,c2,c3). [resolve(3948,a,442,a),unit_del(a,643)]. 7.38/7.74 27380 midp(c1,c3,c2). [resolve(27379,a,161,a)]. 7.38/7.74 27384 cong(c1,c3,c1,c2). [resolve(27380,a,135,a)]. 7.38/7.74 27826 cong(c3,c2,c1,c2). [resolve(27384,a,1762,a)]. 7.38/7.74 28117 cong(c3,c2,c2,c1). [resolve(27826,a,162,a)]. 7.38/7.74 28296 cong(c7,c5,c5,c6). [resolve(5055,a,154,b),unit_del(a,28117)]. 7.38/7.74 28451 cong(c6,c7,c5,c6). [resolve(28296,a,2123,a)]. 7.38/7.74 28517 cong(c5,c7,c5,c6). [resolve(28451,a,2358,a)]. 7.38/7.74 28544 midp(c5,c7,c6). [resolve(28517,a,178,a),unit_del(a,603)]. 7.38/7.74 28546 midp(c6,c7,c5). [resolve(28544,a,2522,a),unit_del(a,519)]. 7.38/7.74 28547 midp(c1,c7,c2). [resolve(28544,a,1870,a),unit_del(a,4179)]. 7.38/7.74 28549 cong(c5,c7,c5,c5). [back_unit_del(24160),unit_del(a,28546)]. 7.38/7.74 28554 midp(c1,c2,c7). [resolve(28547,a,161,a)]. 7.38/7.74 28564 midp(c1,c2,c8). [resolve(28554,a,3363,a),unit_del(a,548)]. 7.38/7.74 28574 midp(c1,c8,c2). [resolve(28564,a,161,a)]. 7.38/7.74 28580 midp(c5,c8,c6). [resolve(28574,a,887,a),unit_del(a,4229)]. 7.38/7.74 28584 midp(c5,c6,c8). [resolve(28580,a,161,a)]. 7.38/7.74 28585 cong(c5,c8,c5,c6). [resolve(28580,a,135,a)]. 7.38/7.74 28590 cong(c5,c6,c5,c8). [resolve(28584,a,135,a)]. 7.38/7.74 28644 midp(c5,c7,c5). [resolve(28549,a,178,a),unit_del(a,597)]. 7.38/7.74 28648 midp(c1,c7,c1). [resolve(28644,a,2792,a),unit_del(a,3803)]. 7.38/7.74 28653 midp(c2,c7,c2). [resolve(28648,a,3168,a),unit_del(a,4185)]. 7.38/7.74 28671 midp(c2,c2,c7). [resolve(28653,a,161,a)]. 7.38/7.74 28687 midp(c2,c2,c8). [resolve(28671,a,3380,a),unit_del(a,498)]. 7.38/7.74 28704 midp(c2,c8,c2). [resolve(28687,a,161,a)]. 7.38/7.74 28715 midp(c6,c8,c6). [resolve(28704,a,2444,a),unit_del(a,3683)]. 7.38/7.74 28721 midp(c6,c6,c8). [resolve(28715,a,161,a)]. 7.38/7.74 28729 cong(c6,c6,c6,c8). [resolve(28721,a,135,a)]. 7.38/7.74 28787 cyclic(c8,c6,c6,c6). [resolve(28585,a,338,a)]. 7.38/7.74 28803 cong(c5,c6,c8,c5). [resolve(28590,a,162,a)]. 7.38/7.74 28999 cong(c6,c6,c8,c6). [resolve(28729,a,162,a)]. 7.38/7.74 29127 cyclic(c6,c8,c6,c6). [resolve(28787,a,199,a)]. 7.38/7.74 29170 cong(c8,c5,c5,c6). [resolve(28803,a,170,a)]. 7.38/7.74 29421 cong(c8,c6,c6,c6). [resolve(28999,a,170,a)]. 7.38/7.74 29637 cyclic(c6,c6,c8,c6). [resolve(29127,a,118,a)]. 7.38/7.74 29671 cong(c8,c5,c6,c5). [resolve(29170,a,162,a)]. 7.38/7.74 30218 cyclic(c6,c6,c6,c8). [resolve(29637,a,132,a)]. 7.38/7.74 31209 cyclic(c6,c6,c8,c5). [resolve(30218,a,2711,a)]. 7.38/7.74 32064 cyclic(c6,c8,c6,c5). [resolve(31209,a,118,a)]. 7.38/7.74 32681 cyclic(c8,c6,c6,c5). [resolve(32064,a,199,a)]. 7.38/7.74 32983 perp(c6,c8,c8,c5). [resolve(32681,a,130,a),unit_del(a,29671),unit_del(b,29421)]. 7.38/7.74 33203 $F. [resolve(32983,a,127,a),unit_del(a,217)]. 7.38/7.74 7.38/7.74 % SZS output end Refutation 7.38/7.74 ============================== end of proof ========================== 7.38/7.74 7.38/7.74 ============================== STATISTICS ============================ 7.38/7.74 7.38/7.74 Given=10430. Generated=209944. Kept=33076. proofs=1. 7.38/7.74 Usable=10244. Sos=9949. Demods=0. Limbo=2, Disabled=13054. Hints=0. 7.38/7.74 Megabytes=17.50. 7.38/7.74 User_CPU=6.54, System_CPU=0.14, Wall_clock=7. 7.38/7.74 7.38/7.74 ============================== end of statistics ===================== 7.38/7.74 7.38/7.74 ============================== end of search ========================= 7.38/7.74 7.38/7.74 THEOREM PROVED 7.38/7.74 % SZS status Theorem 7.38/7.74 7.38/7.74 Exiting with 1 proof. 7.38/7.74 7.38/7.74 Process 11711 exit (max_proofs) Tue Jul 13 14:28:30 2021 7.38/7.74 Prover9 interrupted 7.38/7.74 EOF