0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.15/0.34 % Computer : n011.cluster.edu 0.15/0.34 % Model : x86_64 x86_64 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.34 % Memory : 8042.1875MB 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.34 % CPULimit : 180 0.15/0.34 % DateTime : Thu Aug 29 15:02:57 EDT 2019 0.15/0.34 % CPUTime : 0.99/1.27 ============================== Prover9 =============================== 0.99/1.27 Prover9 (32) version 2009-11A, November 2009. 0.99/1.27 Process 9072 was started by sandbox on n011.cluster.edu, 0.99/1.27 Thu Aug 29 15:02:58 2019 0.99/1.27 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_8761_n011.cluster.edu". 0.99/1.27 ============================== end of head =========================== 0.99/1.27 0.99/1.27 ============================== INPUT ================================= 0.99/1.27 0.99/1.27 % Reading from file /tmp/Prover9_8761_n011.cluster.edu 0.99/1.27 0.99/1.27 set(prolog_style_variables). 0.99/1.27 set(auto2). 0.99/1.27 % set(auto2) -> set(auto). 0.99/1.27 % set(auto) -> set(auto_inference). 0.99/1.27 % set(auto) -> set(auto_setup). 0.99/1.27 % set(auto_setup) -> set(predicate_elim). 0.99/1.27 % set(auto_setup) -> assign(eq_defs, unfold). 0.99/1.27 % set(auto) -> set(auto_limits). 0.99/1.27 % set(auto_limits) -> assign(max_weight, "100.000"). 0.99/1.27 % set(auto_limits) -> assign(sos_limit, 20000). 0.99/1.27 % set(auto) -> set(auto_denials). 0.99/1.27 % set(auto) -> set(auto_process). 0.99/1.27 % set(auto2) -> assign(new_constants, 1). 0.99/1.27 % set(auto2) -> assign(fold_denial_max, 3). 0.99/1.27 % set(auto2) -> assign(max_weight, "200.000"). 0.99/1.27 % set(auto2) -> assign(max_hours, 1). 0.99/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.99/1.27 % set(auto2) -> assign(max_seconds, 0). 0.99/1.27 % set(auto2) -> assign(max_minutes, 5). 0.99/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.99/1.27 % set(auto2) -> set(sort_initial_sos). 0.99/1.27 % set(auto2) -> assign(sos_limit, -1). 0.99/1.27 % set(auto2) -> assign(lrs_ticks, 3000). 0.99/1.27 % set(auto2) -> assign(max_megs, 400). 0.99/1.27 % set(auto2) -> assign(stats, some). 0.99/1.27 % set(auto2) -> clear(echo_input). 0.99/1.27 % set(auto2) -> set(quiet). 0.99/1.27 % set(auto2) -> clear(print_initial_clauses). 0.99/1.27 % set(auto2) -> clear(print_given). 0.99/1.27 assign(lrs_ticks,-1). 0.99/1.27 assign(sos_limit,10000). 0.99/1.27 assign(order,kbo). 0.99/1.27 set(lex_order_vars). 0.99/1.27 clear(print_given). 0.99/1.27 0.99/1.27 % formulas(sos). % not echoed (176 formulas) 0.99/1.27 0.99/1.27 ============================== end of input ========================== 0.99/1.27 0.99/1.27 % From the command line: assign(max_seconds, 180). 0.99/1.27 0.99/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.99/1.27 0.99/1.27 % Formulas that are not ordinary clauses: 0.99/1.27 1 (all X all Y all W all V (s_t(X,Y,ext(X,Y,W,V)) & s_e(Y,ext(X,Y,W,V),W,V))) # label(aA4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,V,X1,V1) | -s_e(Y,V,Y1,V1) | Y = X | s_e(Z,V,Z1,V1) | -s_t(X1,Y1,Z1) | -s_t(X,Y,Z) | -s_e(Y,Z,Y1,Z1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 3 (all Xa all Xp all Xc all Xb all Xq ((-s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xa,Xp,Xc)) & (-s_t(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) | -s_t(Xa,Xp,Xc)))) # label(aA7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 4 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2) | -s_e(X,Y,Z,V))) # label(aA2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 5 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 6 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 7 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 8 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xa,Xc,Xb))) # label(aSatz4_11e) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 9 (all Xa all Xb all Xp all Xq (perp(Xp,Xq,Xa,Xb) | -perp(Xa,Xb,Xp,Xq))) # label(aSatz8_12b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 10 (all Xq all Xa all Xd all Xb all Xc (ext(Xq,Xa,Xb,Xc) = Xd | -s_e(Xa,Xd,Xb,Xc) | -s_t(Xq,Xa,Xd) | Xa = Xq)) # label(aSatz2_12) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 11 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 12 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_col(Xa,Xb,Xc)) & (s_e(Xb,Xd,Xb1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xb,Xd,Xb1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_col(Xa,Xb,Xc)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 13 (all Xa all Xb all Xc all Xd (-s_t(Xd,Xa,Xb) | s_t(Xc,Xd,Xb) | s_t(Xd,Xc,Xb) | -s_t(Xc,Xa,Xb) | Xb = Xa)) # label(aSatz6_16a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 14 (all Xp all Xq all Xa all Xb all Xt ((-opposite(Xa,Xp,Xq,Xb) | -s_col(Xp,Xq,Xb)) & (-opposite(Xa,Xp,Xq,Xb) | s_col(Xp,Xq,il(Xa,Xb,Xp,Xq))) & (s_t(Xa,il(Xa,Xb,Xp,Xq),Xb) | -opposite(Xa,Xp,Xq,Xb)) & (-s_col(Xp,Xq,Xa) | -opposite(Xa,Xp,Xq,Xb)) & (s_col(Xp,Xq,Xb) | opposite(Xa,Xp,Xq,Xb) | -s_col(Xp,Xq,Xt) | -s_t(Xa,Xt,Xb) | s_col(Xp,Xq,Xa) | Xp = Xq))) # label(d_Defn9_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 15 (all Xa all Xb all Xc all Xd ((-le(Xa,Xb,Xc,Xd) | ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd)) & (-le(Xa,Xb,Xc,Xd) | s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))))) # label(aSatz5_5a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 16 (all Xp all Xa all Xb all Xq all Xt all Xr all Xcx (-s_col(Xa,Xb,Xt) | -s_t(Xb,Xr,Xq) | -s_e(Xa,Xp,Xb,Xr) | Xcx != ip(Xp,Xt,Xq,Xb,Xr) | s_m(Xa,Xcx,Xb) | -s_t(Xp,Xt,Xq) | -perp(Xq,Xb,Xa,Xb) | -perp(Xp,Xa,Xa,Xb))) # label(aSatz8_24a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 17 (all Xp all Xq all Xr (Xp = Xq | -s_col(Xp,Xq,Xr) | s_col(Xq,Xp,Xr))) # label(aSatz6_17b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 18 (all Xp all Xq all Xr all Xa (-s_t(Xp,Xq,Xr) | s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)))) # label(aSatz7_15a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 19 (all Xa all Xb all Xc all Xa1 (-s_r(Xa1,Xb,Xc) | Xb = Xc | -s_t(Xa,Xc,Xa1) | -s_r(Xa,Xb,Xc))) # label(aSatz8_6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 20 (all Xa all Xb all Xc all Xp (-s_m(s(Xa,Xc),Xp,s(Xb,Xc)) | Xp != Xa | Xc = Xb | -s_r(Xa,Xb,Xc))) # label(aSatz8_20b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 21 (all Xp all Xq all Xa s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq))) # label(aSatz7_13) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 22 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 23 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 24 (all Xa all Xb all Xc ((perp(Xa,Xb,erect(Xa,Xb,Xc),Xa) | Xa = Xb) & (s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc)) | Xb = Xa) & (s_col(Xa,Xb,erectAux(Xa,Xb,Xc)) | Xb = Xa))) # label(aSatz8_21) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 25 (all Xa all Xb all Xc (le(Xa,Xb,Xa,Xc) | -s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 26 (all Xa all Xb all Xc all Xd (s_e(Xb,Xa,Xc,Xd) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 27 (all Xa all Xb all Xc all Xd all Xe all Xf (s_e(Xa,Xb,Xe,Xf) | -s_e(Xc,Xd,Xe,Xf) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 28 (all Xr all Xa all Xb all Xc all Xp all Xq (Xc = Xb | Xq = Xp | -s_e(Xa,Xq,Xb,Xc) | -sameside(Xq,Xa,Xr) | -s_e(Xa,Xp,Xb,Xc) | -sameside(Xp,Xa,Xr) | Xr = Xa)) # label(aSatz6_11b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 29 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)) & (-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | s_t(Xc,Xa,Xb) | s_t(Xb,Xc,Xa)))) # label(d_Defn4_10) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 30 (all Xa all Xp all Xb (s(Xa,Xp) != s(Xb,Xp) | Xa = Xb)) # label(aSatz7_18) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 31 (all Xp all Xa all Xq all Xb (-s_m(Xp,Xa,Xq) | -s_m(Xp,Xb,Xq) | Xb = Xa)) # label(aSatz7_17) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 32 (all Xp all Xq all Xr all Xcs all Xa (s_e(Xp,Xq,Xr,Xcs) | -s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)))) # label(aSatz7_16b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 33 (all Xa all Xb (Xa = Xb | -s_r(Xa,Xb,Xa))) # label(aSatz8_8) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 34 (all Xa all Xm (Xm = Xa | -s_m(Xa,Xm,Xa))) # label(aSatz7_3a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 35 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-le(Xa,Xb,Xc,Xd) | -s_e(Xc,Xd,Xc1,Xd1) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz5_6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 36 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | s_t(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz4_6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 37 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd))) # label(aSatz3_6b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 38 (all Xa all Xb all Xc all Xd all Y ((s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd) | -le(Xa,Xb,Xc,Xd)) & (-s_t(Xc,Y,Xd) | -s_e(Xa,Xb,Xc,Y) | le(Xa,Xb,Xc,Xd)) & (s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) | -le(Xa,Xb,Xc,Xd)))) # label(d_Defn5_4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 39 (all Xa all Xb all Xd all Xc (-s_col(Xa,Xb,Xd) | perpAt(Xa,Xb,Xd,Xc,Xd) | -perp(Xa,Xb,Xc,Xd) | Xb = Xa)) # label(aSatz8_15) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 40 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa1,Xb1,Xc) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa,Xp,Xa1) | -s_t(Xa,Xb,Xc)) & (-s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa,Xb,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 41 (all Xa all Xp all Xb ((-s_t(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_col(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 42 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xb,Xd,Xc) | s_t(Xb,Xc,Xd) | Xa = Xb)) # label(aSatz5_2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 43 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xp != Xa) & (-s_t(Xp,Xa,Xb) | Xp = Xa | xb = Xp | sameside(Xa,Xp,Xb)) & (-s_t(Xp,Xb,Xa) | Xa = Xp | sameside(Xa,Xp,Xb) | Xp = Xb) & (s_t(Xp,Xb,Xa) | s_t(Xp,Xa,Xb) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | Xp != Xb))) # label(d_Defn6_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 44 (all Xa all Xb all Xa1 all Xc1 ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb) = insert(Xa,Xb,Xa1,Xc1)) # label(d_insert) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 45 (all Xa all Xp all Xb all Xc (sameside(Xa,Xp,Xb) | Xa = Xp | Xb = Xp | Xp = Xc | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc))) # label(aSatz6_3b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 46 (all Y all Z all X all Y1 all Z1 all U all V ((-perpAt(Y,Z,X,Y1,Z1) | s_col(Y1,Z1,X)) & (-perpAt(Y,Z,X,Y1,Z1) | Z1 != Y1) & (s_r(U,X,V) | -s_col(Y1,Z1,V) | -s_col(Y,Z,U) | -perpAt(Y,Z,X,Y1,Z1)) & (Z = Y | Z1 = Y1 | -s_col(Y,Z,X) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | perpAt(Y,Z,X,Y1,Z1)) & (perpAt(Y,Z,X,Y1,Z1) | Y1 = Z1 | -s_col(Y,Z,X) | -s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | Z = Y) & (Y = Z | -s_col(Y,Z,X) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | Z1 = Y1 | perpAt(Y,Z,X,Y1,Z1)) & (-perpAt(Y,Z,X,Y1,Z1) | Y != Z) & (-perpAt(Y,Z,X,Y1,Z1) | s_col(Y,Z,X)))) # label(d_Defn8_11a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 47 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 48 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Za,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (-s_t(Za,Zb,Zc) | -s_e(Xa,Xb,Za,Zb) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xb,Xd,Zb,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_t(Xa,Xb,Xc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xd,Za,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xb,Za,Zb)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Xa,Xb,Xc)))) # label(d_Defn2_10) # label(axiom) # label(non_clause). [assumption]. 0.99/1.27 49 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa) | Xb = Xa) & (s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc) | Xb = Xa) & (Xa = Xb | s_col(Xa,Xb,Xc) | s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc))))) # label(aSatz8_21a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 50 (all Xb all Xc all Xa (Xb = Xc | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 51 (all Xa all Xb all Xp all Xq all Xu all Xc all Xv ((s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq))) & (s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | Xb != ss2(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | ss3(Xa,Xb,Xp,Xq) != ss1(Xa,Xb,Xp,Xq)) & (Xq != Xp | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | -s_col(Xp,Xq,Xa)) & (-s_col(Xp,Xq,Xb) | -samesideline(Xa,Xb,Xp,Xq)) & (-s_t(Xb,Xv,Xc) | -s_col(Xp,Xq,Xv) | Xp = Xq | Xu = Xa | s_col(Xp,Xq,Xa) | s_col(Xp,Xq,Xb) | samesideline(Xa,Xb,Xp,Xq) | Xb = Xv | Xc = Xv | Xu = Xc | -s_col(Xp,Xq,Xu) | -s_t(Xa,Xu,Xc)) & (-samesideline(Xa,Xb,Xp,Xq) | ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | ss1(Xa,Xb,Xp,Xq) != Xa))) # label(d_Defn9_7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 52 (all Xa all Xb all Xc all Xp all Xq (-perpAt(Xa,Xb,Xc,Xp,Xq) | perpAt(Xp,Xq,Xc,Xa,Xb))) # label(aSatz8_12a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 53 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_col(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz4_14) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 54 (all Xa all Xp all Xb (s_t(Xa,Xp,Xb) | -s_col(Xa,Xp,Xb) | sameside(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 55 (all Xa all Xb all Xc (s_col(Xc,Xa,Xb) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 56 (all Xa all Xb all Xp all Xq all Xcx all U all V (Xb = Xa | Xq = Xp | -s_col(Xp,Xq,Xcx) | -s_col(Xa,Xb,Xcx) | -s_col(Xa,Xb,U) | -s_col(Xp,Xq,V) | perpAt(Xa,Xb,Xcx,Xp,Xq) | -s_r(U,Xcx,V) | V = Xcx | U = Xcx)) # label(aSatz8_13b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 57 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_t(Xb1,Xc,Xb2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa1,Xc,Xb1)) & (-s_e(Xc,Xa2,Xc,Xb2) | -s_m(Xa2,Xm2,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_m(Xa1,Xm1,Xb1) | -s_e(Xc,Xa1,Xc,Xb1) | -s_t(Xb1,Xc,Xb2) | -s_t(Xa1,Xc,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa2,Xm2,Xb2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa1,Xm1,Xb1)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa2,Xc,Xb2)) & (s_t(Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 58 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa1,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa,Xb,Xc))) # label(aSatz2_11) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 59 (all Xa all Xb all Xp all Xq all Xr all Xc all Xd (-s_col(Xa,Xb,Xq) | Xp = Xq | -perpAt(Xp,Xq,Xr,Xc,Xd) | perpAt(Xa,Xb,Xr,Xc,Xd) | Xb = Xa | -s_col(Xa,Xb,Xp))) # label(aExtPerp) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 60 (all Xa all Xb all Xc all Xp all Xq (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | -perp(Xa,Xb,Xc,Xq) | Xp = Xq | -perp(Xa,Xb,Xc,Xp) | s_col(Xa,Xb,Xc))) # label(aSatz8_18a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 61 (all Xp all Xq (Xp = Xq | s_col(Xp,Xq,Xp))) # label(aSatz6_17a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 62 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd))) # label(aSatz3_5a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 63 (all Xa all Xp (Xp = Xa | Xp != s(Xa,Xp))) # label(aSatz7_10a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 64 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_col(Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_13) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 65 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | Xb = Xc | Xa = Xb | -s_col(Xa,Xb,Xc))) # label(aSatz8_9) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 66 (all Xa all Xb all Xc (s_t(Xa,Xb,Xc) | -le(Xb,Xc,Xa,Xc) | -le(Xa,Xb,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 67 (all Xa all Xb all Xp all Xq all Xc ((-s_col(Xa,Xb,Xp) | Xq = Xp | -perp(Xa,Xb,Xc,Xp) | s_r(Xc,Xp,Xq) | -s_col(Xa,Xb,Xq) | Xb = Xa) & (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | Xp = Xq | -s_col(Xa,Xb,Xc) | -perp(Xa,Xb,Xc,Xp) | Xa = Xb))) # label(aSatz8_16a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 68 (all Xp all Xq all Xr all Xa (s_col(Xa,Xp,Xq) | Xp != Xa | -s_t(Xq,Xp,Xr) | Xr = Xp | Xp = Xq)) # label(aSatz6_15d) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 69 (all Xa all Xb all Xc ((perp(Xa,Xb,Xc,foot(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,foot(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc)))) # label(aSatz8_18) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 70 (all Xp all Xq all Xr all Xcs all Xa (-s_e(Xp,Xq,Xr,Xcs) | s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)))) # label(aSatz7_16a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 71 (all Xa all Xb all Xc all Xp all Xq (Xa = Xb | s_e(Xc,Xp,Xc,Xq) | -s_e(Xb,Xp,Xb,Xq) | -s_e(Xa,Xp,Xa,Xq) | -s_col(Xa,Xb,Xc))) # label(aSatz4_17) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 72 (all Xa all Xb all Xc all Xa1 (-s_r(Xa,Xb,Xc) | -s_col(Xb,Xa,Xa1) | s_r(Xa1,Xb,Xc) | Xb = Xa)) # label(aSatz8_3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 73 (all Xa all Xb all Xp all Xq all Xr (Xa = Xb | Xq = Xp | -s_col(Xp,Xq,Xa) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xb))) # label(aSatz6_18) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 74 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_t(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1)) & (-s_t(Xa,Xb,Xc) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1)))) # label(aSatz4_5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 75 (all Xa all Xb all Xc all Xd (le(Xa,Xb,Xc,Xd) | le(Xc,Xd,Xa,Xb))) # label(aSatz5_10) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 76 (all Xr all Xa all Xb all Xc ((Xc = Xb | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xr = Xa) & (Xb = Xc | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xr = Xa))) # label(aSatz6_11a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 77 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (-s_e(Xa,Xc,Za,Zc) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xc,Xd,Zc,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_t(Za,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xc,Xd,Zc,Zd)) & (s_e(Xa,Xd,Za,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xa,Xc,Za,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 78 (all Xa all Xb all Xc all Xd all Xe (-s_e(Xa,Xe,Xc,Xd) | -s_t(Xa,Xb,Xe) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 79 (all Xa all Xm all Xb (s_m(Xb,Xm,Xa) | -s_m(Xa,Xm,Xb))) # label(aSatz7_2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 80 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 81 (all Xa all Xp all Xr all Xq (Xr != s(Xa,Xp) | Xp = Xq | Xr != s(Xa,Xq))) # label(aSatz7_8) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 82 (all Xp all Xa all Xb all Xq all Xt all Xr all Xcx (-s_t(Xp,Xt,Xq) | -s_e(Xa,Xp,Xb,Xr) | Xcx != ip(Xp,Xt,Xq,Xb,Xr) | s_m(Xp,Xcx,Xr) | -s_t(Xb,Xr,Xq) | -s_col(Xa,Xb,Xt) | -perp(Xq,Xb,Xa,Xb) | -perp(Xp,Xa,Xa,Xb))) # label(aSatz8_24b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 83 (all Xp all Xq all Xr all Xa (Xp = Xr | -s_col(Xa,Xp,Xq) | Xp = Xa | sameside(Xa,Xp,Xr) | sameside(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xq = Xp)) # label(aSatz6_15a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 84 (all Xa all Xb all Xp (Xb = Xa | s(Xb,s(Xa,Xp)) != s(Xa,s(Xb,Xp)))) # label(aSatz7_19) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 85 (all Xp all Xq all Xa all Xz all Xb all Xc (s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb) | -s_e(Xc,Xp,Xc,Xq) | -s_e(Xb,Xp,Xb,Xq) | -s_e(Xa,Xp,Xz,Xq) | Xp = Xq)) # label(aA9) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 86 (all Xa all Xm (Xm != Xa | s_m(Xa,Xm,Xa))) # label(aSatz7_3b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 87 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xc,Xd,Xa,Xb))) # label(aSatz2_2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 88 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xb,Xa,Xc))) # label(aSatz4_11d) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 89 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 90 (all Xa all Xp all Xq (s(Xa,Xq) != s(Xa,Xp) | Xq = Xp)) # label(aSatz7_9) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 91 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 92 (all Xp all Xa all Xb all Xq all Xt all Xr (-perp(Xq,Xb,Xa,Xb) | -s_col(Xa,Xb,Xt) | -s_t(Xp,Xt,Xq) | -s_e(Xa,Xp,Xb,Xr) | s_m(Xp,midpoint(Xa,Xb),Xr) | -s_t(Xb,Xr,Xq) | -perp(Xp,Xa,Xa,Xb))) # label(aSatz8_24) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 93 (all Xa all Xb all Xc all Xp all Xq ((-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | Xc != g813(Xa,Xb,Xp,Xq,Xc)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc))) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | f813(Xa,Xb,Xp,Xq,Xc) != Xc) & (s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc)) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (s_col(Xp,Xq,Xc) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (Xq != Xp | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (Xa != Xb | -perpAt(Xa,Xb,Xc,Xp,Xq)))) # label(aSatz8_13a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 94 (all Xa all Xp all Xb ((Xp != Xa | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | Xb != Xp) & (s_t(Xb,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb))) & (Xp != c63(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 95 (all Xa all Xb all Xp all Xq (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | -perp(Xa,Xb,Xp,Xq))) # label(aSatz8_14a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 96 (all Xp all Xq all Xcs all Xr (Xp = Xq | Xp = Xcs | -s_col(Xp,Xq,Xr) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xcs))) # label(aSatz6_16b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 97 (all Xa all Xb all Xc (s_t(Xc,Xb,Xa) | -s_t(Xa,Xb,Xc))) # label(aSatz3_2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 98 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xd,Xc))) # label(aSatz2_5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 99 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 (s_t(Xm1,Xc,Xm2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2))) # label(aSatz7_22b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 100 (all Xp all Xq all Xr all Xa (Xp = Xq | Xp = Xr | -s_t(Xq,Xp,Xr) | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq))) # label(aSatz6_15c) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 101 (all Xa all Xb all Xc all Xd all Xe all Xf (le(Xa,Xb,Xe,Xf) | -le(Xc,Xd,Xe,Xf) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_8) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 102 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 103 (all Xa all Xb all Xd all Xc (s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xb) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 104 (all Xa all Xb all Xp all Xq all Xc (-s_col(Xa,Xb,Xc) | -s_col(Xp,Xq,Xc) | perpAt(Xa,Xb,Xc,Xp,Xq) | -perp(Xa,Xb,Xp,Xq))) # label(aSatz8_14b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 105 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((s_e(Xa1,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (s_e(Xa1,Xa3,Xb1,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (s_e(Xa2,Xa3,Xb2,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (-s_e(Xa1,Xa3,Xb1,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | -s_e(Xa1,Xa2,Xb1,Xb2)))) # label(d_Defn4_4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 106 (all Xa all Xb all Xc all Xc1 (-s_col(Xa,Xb,Xc) | Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1) | Xa = Xb)) # label(aSatz4_18) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 107 (all Xa all Xb all Xc all Xd (-le(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xa,Xb) | s_e(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 108 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa,Xb,Xc) | -sameside(Xa1,Xb1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1))) # label(aSatz6_28) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 109 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_r(Xa,Xb,Xc) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_r(Xa1,Xb1,Xc1))) # label(aSatz8_10) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 110 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 111 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (Xb = Xa | -s_col(Xa,Xb,Xc) | -s_col(Xp,Xq,Xd) | s_col(Xp,Xq,Xe) | -s_col(Xa,Xb,Xe) | Xc = Xd | -s_col(Xa,Xb,Xd) | -s_col(Xp,Xq,Xc) | Xp = Xq)) # label(aSatz6_21) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 112 (all Xp all Xq all Xr all Xa (-s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) | s_t(Xp,Xq,Xr))) # label(aSatz7_15b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 113 (all Xa all Xb all Xc all Xp all Xq (il(Xa,Xb,Xp,Xq) = Xc | -perpAt(Xa,Xb,Xc,Xp,Xq))) # label(aSatz8_14c) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 114 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 115 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 116 (all Xa all Xb all Xc all XA all XB all XC (-s_t(Xa,Xb,Xc) | -s_t(XA,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC) | -s_e(Xa,Xb,XB,XC))) # label(aSatz2_15) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 117 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 118 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | Xc = Xb)) # label(aSatz3_7a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 119 (all Xa all Xb all Xc all Xd (-s_t(Xb,Xc,Xd) | Xc = Xb | s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 120 (all Xa all Xp (Xp != Xa | s(Xa,Xp) = Xp)) # label(aSatz7_10b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 121 (all Xp all Xa all Xq (-s_m(Xp,Xa,Xq) | s(Xa,Xp) = Xq)) # label(aSatz7_6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 122 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 123 (all Xa all Xb all Xp all Xq (-perp(Xa,Xb,Xp,Xq) | perp(Xa,Xb,Xq,Xp))) # label(aExtPerp4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 124 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1))) # label(aSatz4_2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 125 (all Xa all Xb all Xc all Xp all Xq (Xa = Xc | samesideline(Xp,Xq,Xa,Xc) | -samesideline(Xp,Xq,Xa,Xb) | Xa = Xb | -s_col(Xa,Xb,Xc))) # label(aExtSameSide1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 126 (all Xa all Xb all Xp all Xq all Xc all Xd (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | Xa = Xb | perp(Xp,Xq,Xc,Xd) | -perp(Xa,Xb,Xc,Xd) | Xp = Xq)) # label(aExtPerp5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 127 (all Xc all Xa all Xb (s_m(Xa,isomidpoint(Xa,Xb,Xc),Xb) | -s_e(Xc,Xa,Xc,Xb))) # label(aSatz7_25) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 128 (all Xa1 all Xc all Xa2 all Xb1 all Xb2 all Xm1 all Xm2 (-s_t(Xa1,Xc,Xa2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_m(Xa1,Xm1,Xb1) | s_t(Xm1,Xc,Xm2) | -s_m(Xa2,Xm2,Xb2) | -s_e(Xc,Xa2,Xc,Xb2) | -s_t(Xb1,Xc,Xb2))) # label(aSatz7_22) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 129 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | Xa = Xb | -s_t(Xb,Xa,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 130 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (Xa = Xb | s_e(Xc,Xd,Xc1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 131 (all Xa all Xb all Xc all Xd all Xp (Xb = Xa | Xc = Xd | -s_col(Xa,Xb,Xc) | -s_col(Xa,Xb,Xd) | s_col(Xa,Xb,Xp) | -s_col(Xc,Xd,Xp))) # label(aExtCol2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 132 (all Xp all Xq all Xp1 all Xq1 all X ((perp(Xp,Xq,Xp1,Xq1) | -perpAt(Xp,Xq,X,Xp1,Xq1)) & (perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1) | -perp(Xp,Xq,Xp1,Xq1)))) # label(d_Defn8_11b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 133 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_t(Xm1,Xc,Xm2) | -le(Xc,Xa1,Xc,Xa2))) # label(aSatz7_22a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 134 (all Xa all Xb all Xc all Xd (Xb = Xa | Xb = Xc | perp(Xb,Xa,Xa,Xd) | -s_col(Xa,Xc,Xd) | -perp(Xb,Xa,Xa,Xc) | Xd = Xa | Xd = Xc | Xc = Xa)) # label(aExtPerp3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 135 (all Xa all Xp all Xb all Xc (Xp = Xa | Xp = Xb | Xc = Xp | sameside(Xa,Xp,Xb) | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc))) # label(aSatz6_2a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 136 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa1,Xb1,Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 137 (all Xa all Xm all Xb ((-s_t(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb)) & (-s_m(Xa,Xm,Xb) | s_e(Xm,Xa,Xm,Xb)) & (-s_m(Xa,Xm,Xb) | s_t(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 138 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xr) | -s_m(Xp,Xa,Xq) | Xq = Xr)) # label(aSatz7_4b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 139 (all Xa all Xb all Xp all Xq all Xc (Xb = Xa | -s_col(Xa,Xb,Xq) | perp(Xa,Xb,Xc,Xp) | -s_r(Xc,Xp,Xq) | s_col(Xa,Xb,Xc) | Xq = Xp | -s_col(Xa,Xb,Xp))) # label(aSatz8_16b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 140 (all Xa all Xb all Xc ((s_r(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,s(Xb,Xc))) & (s_e(Xa,Xc,Xa,s(Xb,Xc)) | -s_r(Xa,Xb,Xc)))) # label(d_Defn8_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 141 (all Xa all Xb all Xc all Xd (-s_col(Xa,Xb,Xd) | Xa = Xb | s_col(Xa,Xc,Xd) | -s_col(Xa,Xb,Xc))) # label(aext1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 142 (all Xa all Xp all Xb all Xc (-sameside(Xa,Xp,Xb) | -sameside(Xb,Xp,Xc) | sameside(Xa,Xp,Xc))) # label(aSatz6_7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 143 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | s_r(Xc,Xb,Xa))) # label(aSatz8_2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 144 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,Xb) | Xc = Xb)) # label(aNarbouxLemma1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 145 (all Xa all Xb all Xc all Xd all Xp (Xd = Xb | -s_e(Xb,Xc,Xd,Xa) | -s_col(Xb,Xp,Xd) | s_m(Xa,Xp,Xc) | -s_col(Xa,Xp,Xc) | -s_e(Xa,Xb,Xc,Xd) | s_col(Xa,Xb,Xc))) # label(aSatz7_21) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 146 (all Xa all Xp all Xb (-le(Xp,Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | -sameside(Xa,Xp,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 147 (all Xa all Xb (-s_col(Xa,Xb,pointOffLine(Xa,Xb)) | Xb = Xa)) # label(aSatz6_25) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 148 (all Xa all Xb all Xc (s_col(Xc,Xb,Xa) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11c) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 149 (all Xa all Xc all Xb all Xc1 (-s_e(Xb,Xc,Xb,Xc1) | Xc = Xc1 | -s_e(Xa,Xc,Xa,Xc1) | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 150 (all Xa all Xb all Xc (s_r(Xa,Xb,s(Xb,Xc)) | -s_r(Xa,Xb,Xc))) # label(aSatz8_4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.28 151 (all Xa all Xp (Xp = Xa | sameside(Xa,Xp,Xa))) # label(aSatz6_5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 152 (all Xa all Xb all Xp all Xq all Xc all Xd (-s_col(Xa,Xb,Xq) | Xq = Xp | perp(Xa,Xb,Xc,Xd) | -perp(Xp,Xq,Xc,Xd) | Xa = Xb | -s_col(Xa,Xb,Xp))) # label(aExtPerp2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 153 (all Xa all Xm all Xb (-s_e(Xm,Xa,Xm,Xb) | Xa = Xb | s_m(Xa,Xm,Xb) | -s_col(Xa,Xm,Xb))) # label(aSatz7_20) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 154 (all Xa all Xb all Xc all Xp (s_r(Xb,Xa,Xp) | -s_m(s(Xa,Xc),Xp,s(Xb,Xc)) | -s_r(Xa,Xb,Xc))) # label(aSatz8_20a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 155 (all Xa all Xb all Xc (s_col(Xb,Xc,Xa) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 156 (all Xa all Xp all Xb (le(Xp,Xa,Xp,Xb) | -s_t(Xp,Xa,Xb) | -sameside(Xa,Xp,Xb))) # label(aSatz6_13b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 157 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | s_t(Xb,Xc,Xd))) # label(aSatz3_6a) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 158 (all Xa all Xb all Xc (-s_r(Xa,Xc,Xb) | Xb = Xc | -s_r(Xa,Xb,Xc))) # label(aSatz8_7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 159 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xd) | s_t(Xa,Xd,Xc) | -s_t(Xa,Xb,Xd))) # label(aSatz5_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 160 (all Xa all Xb s_r(Xa,Xb,Xb)) # label(aSatz8_5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 161 (all Xa all Xb s_m(Xa,midpoint(Xa,Xb),Xb)) # label(aSatz8_22) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 162 (all Xa all Xp all Xb all Xc (Xa = Xp | -sameside(Xa,Xp,Xb) | s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xp = Xc | Xp = Xb)) # label(aSatz6_2b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 163 (all Xa all Xp all Xb all Xq all Xt (-perp(Xa,Xb,Xa,Xp) | -s_col(Xa,Xb,Xt) | s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb) | -s_t(Xp,Xt,Xq) | -perp(Xa,Xb,Xb,Xq) | -le(Xa,Xp,Xb,Xq))) # label(aSatz8_22b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 164 (all Xa all Xb all Xc all Xd (s_e(Xb,Xa,Xd,Xc) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_14) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 165 (all Xp all Xq all Xr all Xa (Xp = Xq | Xp = Xr | -sameside(Xa,Xp,Xq) | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr))) # label(aSatz6_15b) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 166 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc) | -s_t(Xa,Xb,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 167 (all Xa all Xb all Xp all Xq (perp(Xb,Xa,Xp,Xq) | -perp(Xa,Xb,Xp,Xq))) # label(aperp1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 168 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.29 169 -(all Xa all Xb all Xp all Xq (Xa = Xb | -samesideline(Xp,Xq,Xa,Xb) | samesideline(Xp,Xq,Xb,Xa))) # label(aExtSameSide2) # label(negated_conjecture) # label(non_clause). [assumption]. 0.99/1.29 0.99/1.29 ============================== end of process non-clausal formulas === 0.99/1.29 0.99/1.29 ============================== PROCESS INITIAL CLAUSES =============== 0.99/1.29 0.99/1.29 ============================== PREDICATE ELIMINATION ================= 0.99/1.29 170 -s_e3(A,B,C,D,E,F) | -s_e(B,V6,E,V7) | s_fs(A,B,C,V6,D,E,F,V7) | -s_e(A,V6,D,V7) | -s_col(A,B,C) # label(d_Defn4_15) # label(axiom). [clausify(12)]. 0.99/1.29 171 -s_fs(A,B,C,D,E,F,V6,V7) | s_col(A,B,C) # label(d_Defn4_15) # label(axiom). [clausify(12)]. 0.99/1.29 172 s_e(A,B,C,D) | -s_fs(E,A,F,B,V6,C,V7,D) # label(d_Defn4_15) # label(axiom). [clausify(12)]. 0.99/1.29 173 s_e(A,B,C,D) | -s_fs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_15) # label(axiom). [clausify(12)]. 0.99/1.29 174 s_e3(A,B,C,D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7) # label(d_Defn4_15) # label(axiom). [clausify(12)]. 0.99/1.29 175 A = B | s_e(C,D,E,F) | -s_fs(B,A,C,D,V6,V7,E,F) # label(aSatz4_16) # label(axiom). [clausify(130)]. 0.99/1.29 Derived: A = B | s_e(C,D,E,F) | -s_e3(B,A,C,V6,V7,E) | -s_e(A,D,V7,F) | -s_e(B,D,V6,F) | -s_col(B,A,C). [resolve(175,c,170,c)]. 0.99/1.29 176 s_col(A,B,C) | opposite(D,A,B,C) | -s_col(A,B,E) | -s_t(D,E,C) | s_col(A,B,D) | B = A # label(d_Defn9_1) # label(axiom). [clausify(14)]. 0.99/1.29 177 -opposite(A,B,C,D) | -s_col(B,C,D) # label(d_Defn9_1) # label(axiom). [clausify(14)]. 0.99/1.31 178 -opposite(A,B,C,D) | s_col(B,C,il(A,D,B,C)) # label(d_Defn9_1) # label(axiom). [clausify(14)]. 0.99/1.31 179 s_t(A,il(A,B,C,D),B) | -opposite(A,C,D,B) # label(d_Defn9_1) # label(axiom). [clausify(14)]. 0.99/1.31 180 -s_col(A,B,C) | -opposite(C,A,B,D) # label(d_Defn9_1) # label(axiom). [clausify(14)]. 0.99/1.31 Derived: s_col(A,B,C) | -s_col(A,B,D) | -s_t(E,D,C) | s_col(A,B,E) | B = A | s_col(A,B,il(E,C,A,B)). [resolve(176,b,178,a)]. 0.99/1.31 Derived: s_col(A,B,C) | -s_col(A,B,D) | -s_t(E,D,C) | s_col(A,B,E) | B = A | s_t(E,il(E,C,A,B),C). [resolve(176,b,179,b)]. 0.99/1.31 181 -s_col(A,B,C) | s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) # label(aSatz4_14) # label(axiom). [clausify(53)]. 0.99/1.31 182 -s_t(A,B,C) | s_t(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_6) # label(axiom). [clausify(36)]. 0.99/1.31 Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | -s_t(A,B,C) | s_t(D,E,insert5(A,B,C,D,E)). [resolve(181,b,182,c)]. 0.99/1.31 183 -s_e3(A,B,C,D,E,F) | s_col(D,E,F) | -s_col(A,B,C) # label(aSatz4_13) # label(axiom). [clausify(64)]. 0.99/1.31 Derived: s_col(A,B,insert5(C,D,E,A,B)) | -s_col(C,D,E) | -s_col(C,D,E) | -s_e(C,D,A,B). [resolve(183,a,181,b)]. 0.99/1.31 184 -s_t(A,B,C) | s_e3(A,B,C,D,insert(A,B,D,E),E) | -s_e(A,C,D,E) # label(aSatz4_5) # label(axiom). [clausify(74)]. 0.99/1.31 Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_col(D,insert(A,B,D,E),E) | -s_col(A,B,C). [resolve(184,b,183,a)]. 0.99/1.31 185 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(105)]. 0.99/1.31 Derived: s_e(A,B,C,insert(A,B,C,D)) | -s_t(A,B,E) | -s_e(A,E,C,D). [resolve(185,b,184,b)]. 0.99/1.31 186 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom). [clausify(105)]. 0.99/1.31 Derived: s_e(A,B,C,insert5(A,D,B,C,E)) | -s_col(A,D,B) | -s_e(A,D,C,E). [resolve(186,b,181,b)]. 0.99/1.31 187 s_e(A,B,C,D) | -s_e3(E,A,B,F,C,D) # label(d_Defn4_4) # label(axiom). [clausify(105)]. 0.99/1.31 Derived: s_e(A,B,C,insert5(D,A,B,E,C)) | -s_col(D,A,B) | -s_e(D,A,E,C). [resolve(187,b,181,b)]. 0.99/1.31 Derived: s_e(A,B,insert(C,A,D,E),E) | -s_t(C,A,B) | -s_e(C,B,D,E). [resolve(187,b,184,b)]. 0.99/1.31 188 -s_e(A,B,C,D) | s_e3(A,E,B,C,F,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom). [clausify(105)]. 0.99/1.31 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | -s_t(A,E,B) | s_t(C,F,D). [resolve(188,b,182,c)]. 0.99/1.31 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | s_col(C,F,D) | -s_col(A,E,B). [resolve(188,b,183,a)]. 0.99/1.31 189 -s_r(A,B,C) | -s_e3(A,B,C,D,E,F) | s_r(D,E,F) # label(aSatz8_10) # label(axiom). [clausify(109)]. 0.99/1.31 Derived: -s_r(A,B,C) | s_r(D,E,insert5(A,B,C,D,E)) | -s_col(A,B,C) | -s_e(A,B,D,E). [resolve(189,b,181,b)]. 0.99/1.31 Derived: -s_r(A,B,C) | s_r(D,insert(A,B,D,E),E) | -s_t(A,B,C) | -s_e(A,C,D,E). [resolve(189,b,184,b)]. 0.99/1.31 Derived: -s_r(A,B,C) | s_r(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,B,D,E). [resolve(189,b,188,b)]. 0.99/1.31 190 A = B | s_e(C,D,E,F) | -s_e3(B,A,C,V6,V7,E) | -s_e(A,D,V7,F) | -s_e(B,D,V6,F) | -s_col(B,A,C). [resolve(175,c,170,c)]. 0.99/1.31 Derived: A = B | s_e(C,D,insert5(B,A,C,E,F),V6) | -s_e(A,D,F,V6) | -s_e(B,D,E,V6) | -s_col(B,A,C) | -s_col(B,A,C) | -s_e(B,A,E,F). [resolve(190,c,181,b)]. 0.99/1.31 Derived: A = B | s_e(C,D,E,F) | -s_e(A,D,insert(B,A,V6,E),F) | -s_e(B,D,V6,F) | -s_col(B,A,C) | -s_t(B,A,C) | -s_e(B,C,V6,E). [resolve(190,c,184,b)]. 0.99/1.31 Derived: A = B | s_e(C,D,E,F) | -s_e(A,D,V6,F) | -s_e(B,D,V7,F) | -s_col(B,A,C) | -s_e(B,C,V7,E) | -s_e(A,C,V6,E) | -s_e(B,A,V7,V6). [resolve(190,c,188,b)]. 0.99/1.31 191 -s_t(A,B,C) | -s_e(D,E,A,B) | -s_e(E,F,B,C) | -s_e(E,V6,B,V7) | s_afs(D,E,F,V6,A,B,C,V7) | -s_e(D,V6,A,V7) | -s_t(D,E,F) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 0.99/1.31 192 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 0.99/1.31 193 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 0.99/1.31 194 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 0.99/1.31 195 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 0.99/1.31 196 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 0.99/1.31 197 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(A,B,C) # label(d_Defn2_10) # label(axiom). [clausify(48)]. 2.45/2.76 198 -s_e(A,B,A,C) | -s_m(B,D,C) | s_kf(E,F,V6,A,C,D,B) | -s_m(E,F,V6) | -s_e(A,E,A,V6) | -s_t(V6,A,C) | -s_t(E,A,B) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 199 -s_kf(A,B,C,D,E,F,V6) | s_t(C,D,E) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 200 -s_kf(A,B,C,D,E,F,V6) | s_e(D,A,D,C) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 201 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 202 -s_kf(A,B,C,D,E,F,V6) | s_m(A,B,C) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 203 -s_kf(A,B,C,D,E,F,V6) | s_e(D,V6,D,E) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 204 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom). [clausify(57)]. 2.45/2.76 205 s_t(A,B,C) | -s_kf(D,A,E,B,F,C,V6) # label(aSatz7_22b) # label(axiom). [clausify(99)]. 2.45/2.76 206 -s_kf(A,B,C,D,E,F,V6) | s_t(B,D,F) | -le(D,A,D,V6) # label(aSatz7_22a) # label(axiom). [clausify(133)]. 2.45/2.76 Derived: s_t(A,B,C) | -le(B,D,B,E) | -s_e(B,E,B,F) | -s_m(E,C,F) | -s_m(D,A,V6) | -s_e(B,D,B,V6) | -s_t(V6,B,F) | -s_t(D,B,E). [resolve(206,a,198,c)]. 2.45/2.76 207 -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,V6,C,V7) | -s_e(B,V6,D,V7) | s_ifs(A,E,B,V6,C,F,D,V7) | -s_t(C,F,D) | -s_t(A,E,B) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 208 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 209 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 210 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 211 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(C,D,V6,V7) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 212 s_e(A,B,C,D) | -s_ifs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 213 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom). [clausify(77)]. 2.45/2.76 214 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(aSatz4_2) # label(axiom). [clausify(124)]. 2.45/2.76 Derived: s_e(A,B,C,D) | -s_e(E,F,V6,V7) | -s_e(A,F,C,V7) | -s_e(E,B,V6,D) | -s_e(F,B,V7,D) | -s_t(V6,C,V7) | -s_t(E,A,F). [resolve(214,a,207,e)]. 2.45/2.76 2.45/2.76 ============================== end predicate elimination ============= 2.45/2.76 2.45/2.76 Auto_denials: (non-Horn, no changes). 2.45/2.76 2.45/2.76 Term ordering decisions: 2.45/2.76 Function symbol KB weights: xb=1. xa=1. xp=1. xq=1. alpha=1. gamma=1. xc=1. xd=1. beta=1. c1=1. c2=1. c3=1. c4=1. s=1. midpoint=1. pointOffLine=1. c63=1. erect=1. erect21a=1. erectAux=1. erectAux21a=1. foot=1. isomidpoint=1. insert=1. ext=1. il=1. ins=1. ss1=1. ss2=1. ss3=1. insert5=1. ip=1. f811=1. f813=1. g811=1. g813=1. midpointAux=1. crossbar=1. 2.45/2.76 2.45/2.76 ============================== end of process initial clauses ======== 2.45/2.76 2.45/2.76 ============================== CLAUSES FOR SEARCH ==================== 2.45/2.76 2.45/2.76 ============================== end of clauses for search ============= 2.45/2.76 2.45/2.76 ============================== SEARCH ================================ 2.45/2.76 2.45/2.76 % Starting search at 0.13 seconds. 2.45/2.76 2.45/2.76 Low Water (keep): wt=62.000, iters=3366 2.45/2.76 2.45/2.76 Low Water (keep): wt=54.000, iters=3368 2.45/2.76 2.45/2.76 Low Water (keep): wt=50.000, iters=3338 2.45/2.76 2.45/2.76 Low Water (keep): wt=46.000, iters=3347 2.45/2.76 2.45/2.76 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 40 (0.00 of 1.06 sec). 2.45/2.76 2.45/2.76 Low Water (keep): wt=45.000, iters=3371 2.45/2.76 2.45/2.76 Low Water (keep): wt=44.000, iters=3406 2.45/2.76 2.45/2.76 Low Water (keep): wt=43.000, iters=3340 2.45/2.76 2.45/2.76 Low Water (keep): wt=42.000, iters=3360 2.45/2.76 2.45/2.76 Low Water (keep): wt=41.000, iters=3393 2.45/2.76 2.45/2.76 Low Water (keep): wt=40.000, iters=3386 2.45/2.76 2.45/2.76 Low Water (keep): wt=39.000, iters=3340 2.45/2.76 2.45/2.76 Low Water (keep): wt=37.000, iters=3360 2.45/2.76 2.45/2.76 Low Water (keep): wt=36.000, iters=3335 2.45/2.76 2.45/2.76 Low Water (keep): wt=35.000, iters=3403 2.45/2.76 2.45/2.76 Low Water (keep): wt=34.000, iters=3351 2.45/2.76 2.45/2.76 Low Water (keep): wt=33.000, iters=3348 2.45/2.76 2.45/2.76 Low Water (keep): wt=31.000, iters=3334 2.45/2.76 2.45/2.76 Low Water (keep): wt=30.000, iters=3451 2.45/2.76 2.45/2.76 Low Water (keep): wt=29.000, iters=3333 2.45/2.76 2.45/2.76 Low Water (keep): wt=28.000, iters=3346 2.45/2.76 2.45/2.76 Low Water (keep): wt=27.000, iters=3346 2.45/2.76 2.45/2.76 Low Water (keep): wt=26.000, iters=3338 2.45/2.76 2.45/2.76 Low Water (displace): id=4930, wt=72.000 2.45/2.76 2.45/2.76 Low Water (displace): id=5537, wt=66.000 2.45/2.76 2.45/2.76 Low Water (displace): id=3713, wt=64.000 2.45/2.76 2.45/2.76 Low Water (displace): id=5880, wt=62.000 2.45/2.76 2.45/2.76 Low Water (disCputime limit exceeded (core dumped) 180.06/180.33 EOF