0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.35 % Computer : n019.cluster.edu 0.12/0.35 % Model : x86_64 x86_64 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.35 % Memory : 8042.1875MB 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.35 % CPULimit : 960 0.12/0.35 % DateTime : Thu Jul 2 12:28:57 EDT 2020 0.12/0.35 % CPUTime : 0.91/1.52 ============================== Prover9 =============================== 0.91/1.52 Prover9 (32) version 2009-11A, November 2009. 0.91/1.52 Process 1170 was started by sandbox2 on n019.cluster.edu, 0.91/1.52 Thu Jul 2 12:28:58 2020 0.91/1.52 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_982_n019.cluster.edu". 0.91/1.52 ============================== end of head =========================== 0.91/1.52 0.91/1.52 ============================== INPUT ================================= 0.91/1.52 0.91/1.52 % Reading from file /tmp/Prover9_982_n019.cluster.edu 0.91/1.52 0.91/1.52 set(prolog_style_variables). 0.91/1.52 set(auto2). 0.91/1.52 % set(auto2) -> set(auto). 0.91/1.52 % set(auto) -> set(auto_inference). 0.91/1.52 % set(auto) -> set(auto_setup). 0.91/1.52 % set(auto_setup) -> set(predicate_elim). 0.91/1.52 % set(auto_setup) -> assign(eq_defs, unfold). 0.91/1.52 % set(auto) -> set(auto_limits). 0.91/1.52 % set(auto_limits) -> assign(max_weight, "100.000"). 0.91/1.52 % set(auto_limits) -> assign(sos_limit, 20000). 0.91/1.52 % set(auto) -> set(auto_denials). 0.91/1.52 % set(auto) -> set(auto_process). 0.91/1.52 % set(auto2) -> assign(new_constants, 1). 0.91/1.52 % set(auto2) -> assign(fold_denial_max, 3). 0.91/1.52 % set(auto2) -> assign(max_weight, "200.000"). 0.91/1.52 % set(auto2) -> assign(max_hours, 1). 0.91/1.52 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.91/1.52 % set(auto2) -> assign(max_seconds, 0). 0.91/1.52 % set(auto2) -> assign(max_minutes, 5). 0.91/1.52 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.91/1.52 % set(auto2) -> set(sort_initial_sos). 0.91/1.52 % set(auto2) -> assign(sos_limit, -1). 0.91/1.52 % set(auto2) -> assign(lrs_ticks, 3000). 0.91/1.52 % set(auto2) -> assign(max_megs, 400). 0.91/1.52 % set(auto2) -> assign(stats, some). 0.91/1.52 % set(auto2) -> clear(echo_input). 0.91/1.52 % set(auto2) -> set(quiet). 0.91/1.52 % set(auto2) -> clear(print_initial_clauses). 0.91/1.52 % set(auto2) -> clear(print_given). 0.91/1.52 assign(lrs_ticks,-1). 0.91/1.52 assign(sos_limit,10000). 0.91/1.52 assign(order,kbo). 0.91/1.52 set(lex_order_vars). 0.91/1.52 clear(print_given). 0.91/1.52 0.91/1.52 % formulas(sos). % not echoed (128 formulas) 0.91/1.52 0.91/1.52 ============================== end of input ========================== 0.91/1.52 0.91/1.52 % From the command line: assign(max_seconds, 960). 0.91/1.52 0.91/1.52 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.91/1.52 0.91/1.52 % Formulas that are not ordinary clauses: 0.91/1.52 1 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 2 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 3 (all Xa all Xp all Xc all Xb all Xq ((s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xb,Xq,Xc) | -s_t(Xa,Xp,Xc)) & (-s_t(Xa,Xp,Xc) | -s_t(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa)))) # label(aA7) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 4 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,Y,X1,Y1) | -s_t(X1,Y1,Z1) | s_e(Z,V,Z1,V1) | X = Y | -s_e(Y,V,Y1,V1) | -s_e(X,V,X1,V1) | -s_e(Y,Z,Y1,Z1) | -s_t(X,Y,Z))) # label(aA5) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 5 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 6 (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]. 0.91/1.52 7 (all X all Y all W all V (s_e(Y,ext(X,Y,W,V),W,V) & s_t(X,Y,ext(X,Y,W,V)))) # label(aA4) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 8 (all Xp all Xq all Xr all Xa (-s_t(Xq,Xp,Xr) | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq) | Xr = Xp | Xq = Xp)) # label(aSatz6_15c) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 9 (all Xa all Xp all Xb all Xc (Xc = Xp | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | Xb = Xp | Xa = Xp | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 10 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xc,Xd))) # label(aSatz2_4) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 11 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 12 (all Xa all Xb all Xc all Xd (s_t(Xa,Xc,Xd) | Xb = Xc | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 13 (all Xa all Xb all Xc all Xd all Xp (Xd = Xb | -s_col(Xa,Xp,Xc) | s_m(Xa,Xp,Xc) | -s_col(Xb,Xp,Xd) | -s_e(Xb,Xc,Xd,Xa) | -s_e(Xa,Xb,Xc,Xd) | s_col(Xa,Xb,Xc))) # label(aSatz7_21) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 14 (all Xa all Xm (s_m(Xa,Xm,Xa) | Xm != Xa)) # label(aSatz7_3b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 15 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xa,Xc,Xd) | s_t(Xa,Xd,Xc))) # label(aSatz5_1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 16 (all Xp all Xq all Xr (-s_col(Xp,Xq,Xr) | s_col(Xq,Xp,Xr) | Xq = Xp)) # label(aSatz6_17b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 17 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xb,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa1,Xb1,Xc)) & (-s_t(Xa,Xp,Xa1) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xb,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 18 (all Xa all Xb all Xc (-le(Xb,Xc,Xa,Xc) | -le(Xa,Xb,Xa,Xc) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 19 (all Xa all Xb all Xc all Xd (s_t(Xb,Xc,Xd) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 20 (all Xa all Xm (-s_m(Xa,Xm,Xa) | Xa = Xm)) # label(aSatz7_3a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 21 (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]. 0.91/1.52 22 (all Xa all Xb all Xc all Xd (-s_t(Xb,Xc,Xd) | Xb = Xc | s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 23 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xp != Xb) & (-sameside(Xa,Xp,Xb) | Xp != c63(Xa,Xp,Xb)) & (s_t(Xa,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (s_t(Xb,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (Xa != Xp | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 24 (all Xa all Xp (Xa != Xp | s(Xa,Xp) = Xp)) # label(aSatz7_10b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 25 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | s_t(Xa,Xb,Xd))) # label(aSatz3_6b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 26 (all Xp all Xa all Xq (s(Xa,Xp) = Xq | -s_m(Xp,Xa,Xq))) # label(aSatz7_6) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 27 (all Xa all Xm all Xb ((s_t(Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_t(Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb)) & (-s_m(Xa,Xm,Xb) | s_e(Xm,Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 28 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | s_col(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 29 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (Xb = Xa | 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]. 0.91/1.52 30 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(Xa,Xd,Za,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xb,Xd,Zb,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xb,Za,Zb)) & (s_e(Xb,Xd,Zb,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,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(Xb,Xc,Zb,Zc)) & (s_e(Xa,Xb,Za,Zb) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_t(Za,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn2_10) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 31 (all Xa all Xb all Xc (Xc = Xb | -s_e(Xa,Xc,Xa,Xb) | -s_t(Xa,Xb,Xc))) # label(aNarbouxLemma1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 32 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 33 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (s_col(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_13) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 34 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_6) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 35 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc) | le(Xa,Xb,Xa,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 36 (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_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa2,Xa3,Xb2,Xb3)) & (-s_e(Xa1,Xa2,Xb1,Xb2) | -s_e(Xa1,Xa3,Xb1,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 37 (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]. 0.91/1.52 38 (all Xa all Xb all Xc all Xp all Xq (Xb = Xa | -s_col(Xa,Xb,Xc) | -s_e(Xa,Xp,Xa,Xq) | -s_e(Xb,Xp,Xb,Xq) | s_e(Xc,Xp,Xc,Xq))) # label(aSatz4_17) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 39 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Xa,Xb,Xc)) & (s_e(Xa,Xc,Za,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | 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_e(Xb,Xc,Zb,Zc) | -s_e(Xc,Xd,Zc,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xa,Xc,Za,Zc) | -s_t(Xa,Xb,Xc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_t(Za,Zb,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 40 (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_15a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 41 (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]. 0.91/1.52 42 (all Xp all Xq all Xr all Xa (-s_t(Xq,Xp,Xr) | s_col(Xa,Xp,Xq) | -sameside(Xa,Xp,Xq) | Xr = Xp | Xp = Xq)) # label(aSatz6_15b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 43 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 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]. 0.91/1.52 45 (all Xp all Xq (s_col(Xp,Xq,Xp) | Xp = Xq)) # label(aSatz6_17a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 46 (all Xa all Xp all Xb all Xc (Xc = Xp | -s_t(Xa,Xp,Xc) | -sameside(Xa,Xp,Xb) | s_t(Xb,Xp,Xc) | Xb = Xp | Xp = Xa)) # label(aSatz6_2b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 47 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xb,Xc,Xa))) # label(aSatz4_11a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 48 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xd,Xc))) # label(aSatz2_14) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 49 (all Xa all Xb all Xc all Xd all Xe all Xf (-le(Xa,Xb,Xc,Xd) | le(Xa,Xb,Xe,Xf) | -le(Xc,Xd,Xe,Xf))) # label(aSatz5_8) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 50 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_t(Xa,Xb,Xc) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1)) & (-s_e(Xa,Xc,Xa1,Xc1) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_t(Xa,Xb,Xc)))) # label(aSatz4_5) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 51 (all Xa all Xm all Xb (-s_m(Xa,Xm,Xb) | s_m(Xb,Xm,Xa))) # label(aSatz7_2) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 52 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xb,Xc))) # label(aSatz3_5a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 53 (all Xp all Xq all Xr all Xcs all Xa (-s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)) | s_e(Xp,Xq,Xr,Xcs))) # label(aSatz7_16b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 54 (all Xa all Xb all Xc all Xd (le(Xc,Xd,Xa,Xb) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_10) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 55 (all Xa all Xb (Xb = Xa | -s_col(Xa,Xb,pointOffLine(Xa,Xb)))) # label(aSatz6_25) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 56 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-le(Xa,Xb,Xc,Xd) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xc,Xd,Xc1,Xd1) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz5_6) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 57 (all Xp all Xq all Xr all Xa (Xq = Xp | Xp = Xr | -s_t(Xq,Xp,Xr) | -s_col(Xa,Xp,Xq) | sameside(Xa,Xp,Xq) | sameside(Xa,Xp,Xr) | Xa = Xp)) # label(aSatz6_15a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 58 (all Xr all Xa all Xb all Xc all Xp all Xq (-s_e(Xa,Xp,Xb,Xc) | -sameside(Xq,Xa,Xr) | Xq = Xp | -s_e(Xa,Xq,Xb,Xc) | -sameside(Xp,Xa,Xr) | Xb = Xc | Xr = Xa)) # label(aSatz6_11b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 59 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 60 (all Xa all Xc all Xb all Xc1 (-s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | -s_e(Xa,Xc,Xa,Xc1) | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 61 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xb,Xd,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xd) | Xb = Xa)) # label(aSatz5_2) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 62 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((s_col(Xa,Xb,Xc) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,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) | s_e(Xb,Xd,Xb1,Xd1)) & (-s_e(Xb,Xd,Xb1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 63 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_col(Xa,Xb,Xc) | -s_e(Xa,Xb,Xa1,Xb1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)))) # label(aSatz4_14) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 64 (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]. 0.91/1.52 65 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (s_e(Xb,Xd,Xb1,Xd1) | -s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_2) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 66 (all Xa all Xp s(Xa,s(Xa,Xp)) = Xp) # label(aSatz7_7) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 67 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 68 (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]. 0.91/1.52 69 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xa,Xb,Xc,Xd) | -s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf))) # label(aSatz2_3) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 70 (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]. 0.91/1.52 71 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 72 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 73 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd) | s_t(Xa,Xc,Xb) | s_t(Xa,Xb,Xc))) # label(aSatz5_3) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 74 (all Xa all Xp all Xr all Xq (Xq = Xp | s(Xa,Xq) != Xr | Xr != s(Xa,Xp))) # label(aSatz7_8) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 75 (all Xp all Xa all Xq all Xb (Xb = Xa | -s_m(Xp,Xb,Xq) | -s_m(Xp,Xa,Xq))) # label(aSatz7_17) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 76 (all Xa all Xp all Xb all Xc (-sameside(Xb,Xp,Xc) | sameside(Xa,Xp,Xc) | -sameside(Xa,Xp,Xb))) # label(aSatz6_7) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 77 (all Xa all Xm all Xb (-s_col(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | Xb = Xa | s_m(Xa,Xm,Xb))) # label(aSatz7_20) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 78 (all Xa all Xb all Xc all Xd all Xe (le(Xa,Xb,Xc,Xd) | -s_t(Xa,Xb,Xe) | -s_e(Xa,Xe,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.52 79 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | -le(Xp,Xa,Xp,Xb) | s_t(Xp,Xa,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 80 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 81 (all Xb all Xc all Xa (-s_e(Xb,Xc,Xa,Xa) | Xb = Xc)) # label(aSatz2_13) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 82 (all Xa all Xb all Xc all Xd all Y ((le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y) | -s_t(Xc,Y,Xd)) & (s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) | -le(Xa,Xb,Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd)))) # label(d_Defn5_4) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 83 (all Xa all Xb all Xc all Xd ((-le(Xa,Xb,Xc,Xd) | s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)) & (ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd) = ins(Xc,Xd,Xa,Xb) | -le(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]. 0.91/1.53 84 (all Xa all Xp (Xp != s(Xa,Xp) | Xp = Xa)) # label(aSatz7_10a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 85 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (Xq = Xp | -s_col(Xa,Xb,Xd) | s_col(Xp,Xq,Xe) | -s_col(Xa,Xb,Xe) | Xd = Xc | -s_col(Xp,Xq,Xd) | -s_col(Xp,Xq,Xc) | -s_col(Xa,Xb,Xc) | Xa = Xb)) # label(aSatz6_21) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 86 (all Xa all Xp all Xq (s(Xa,Xq) != s(Xa,Xp) | Xq = Xp)) # label(aSatz7_9) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 87 (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]. 0.91/1.53 88 (all Xa all Xb all Xc all XA all XB all XC (-s_t(Xa,Xb,Xc) | -s_t(XA,XB,XC) | -s_e(Xa,Xb,XB,XC) | s_e(Xa,Xc,XA,XC) | -s_e(Xb,Xc,XA,XB))) # label(aSatz2_15) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 89 (all Xa all Xp all Xb all Xc (Xp = Xa | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xp = Xc | Xp = Xb)) # label(aSatz6_2a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 90 (all Xa all Xb all Xp (s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)) | Xa = Xb)) # label(aSatz7_19) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 91 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 92 (all Xa all Xb all Xd all Xc (-s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 93 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xr) | Xr = Xq | -s_m(Xp,Xa,Xq))) # label(aSatz7_4b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 94 (all Xa all Xb all Xc (s_col(Xb,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11d) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 95 (all Xa all Xb all Xc all Xc1 (Xb = Xa | -s_e(Xb,Xc,Xb,Xc1) | Xc = Xc1 | -s_e(Xa,Xc,Xa,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_18) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 96 (all Xa all Xp all Xb ((Xa != Xp | -sameside(Xa,Xp,Xb)) & (Xa = Xp | sameside(Xa,Xp,Xb) | Xp = xb | -s_t(Xp,Xa,Xb)) & (Xp = Xb | sameside(Xa,Xp,Xb) | Xp = Xa | -s_t(Xp,Xb,Xa)) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)) & (-sameside(Xa,Xp,Xb) | Xp != Xb))) # label(d_Defn6_1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 97 (all Xa all Xb all Xc ((s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (s_col(Xa,Xb,Xc) | -s_t(Xc,Xa,Xb)) & (s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 98 (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))) # label(aSatz7_22b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 99 (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]. 0.91/1.53 100 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xa,Xc,Xa1,Xc1))) # label(aSatz4_3) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 101 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xa,Xb,Xa1,Xb1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz2_11) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 102 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 103 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 104 (all Xa all Xb all Xp all Xq all Xr (Xp = Xq | -s_col(Xp,Xq,Xb) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xa) | Xb = Xa)) # label(aSatz6_18) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 105 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xp = Xa)) # label(aSatz6_5) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 106 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 107 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | -s_t(Xp,Xa,Xb) | le(Xp,Xa,Xp,Xb))) # label(aSatz6_13b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 108 (all Xa all Xb all Xc all Xd (s_e(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xa,Xb) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 109 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa1,Xb1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -sameside(Xa,Xb,Xc))) # label(aSatz6_28) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 110 (all Xr all Xa all Xb all Xc ((s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xc = Xb | Xa = Xr) & (Xr = Xa | Xb = Xc | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr)))) # label(aSatz6_11a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 111 (all Xa all Xb all Xc (-s_t(Xb,Xa,Xc) | Xa = Xb | -s_t(Xa,Xb,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 112 (all Xa all Xb all Xc all Xd (-s_t(Xd,Xa,Xb) | s_t(Xd,Xc,Xb) | s_t(Xc,Xd,Xb) | -s_t(Xc,Xa,Xb) | Xb = Xa)) # label(aSatz6_16a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 113 (all Xa all Xp all Xb (sameside(Xa,Xp,Xb) | -s_col(Xa,Xp,Xb) | s_t(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 114 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((s_t(Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa1,Xm1,Xb1)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa2,Xm2,Xb2)) & (-s_t(Xa1,Xc,Xa2) | -s_t(Xb1,Xc,Xb2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_m(Xa1,Xm1,Xb1) | -s_m(Xa2,Xm2,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_e(Xc,Xa2,Xc,Xb2)) & (s_e(Xc,Xa2,Xc,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa1,Xc,Xb1)) & (s_t(Xb1,Xc,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 115 (all Xp all Xq all Xcs all Xr (Xcs = Xp | -s_col(Xp,Xq,Xcs) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xr) | Xp = Xq)) # label(aSatz6_16b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 116 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 117 (all Xa all Xb all Xc (s_col(Xa,Xc,Xb) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11e) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 118 (all Xa all Xp all Xb (s(Xb,Xp) != s(Xa,Xp) | Xb = Xa)) # label(aSatz7_18) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 119 (all Xp all Xq all Xr all Xa (Xp = Xq | Xp = Xr | s_col(Xa,Xp,Xq) | Xa != Xp | -s_t(Xq,Xp,Xr))) # label(aSatz6_15d) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 120 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 (s_t(Xm1,Xc,Xm2) | -le(Xc,Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2))) # label(aSatz7_22a) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 121 (all Xq all Xa all Xd all Xb all Xc (Xd = ext(Xq,Xa,Xb,Xc) | -s_e(Xa,Xd,Xb,Xc) | -s_t(Xq,Xa,Xd) | Xq = Xa)) # label(aSatz2_12) # label(axiom) # label(non_clause). [assumption]. 0.91/1.53 122 -(all Xa1 all Xc all Xa2 all Xb1 all Xb2 all Xm1 all Xm2 (-s_t(Xa1,Xc,Xa2) | -s_t(Xb1,Xc,Xb2) | -s_e(Xc,Xa2,Xc,Xb2) | -s_m(Xa1,Xm1,Xb1) | s_t(Xm1,Xc,Xm2) | -s_m(Xa2,Xm2,Xb2) | -s_e(Xc,Xa1,Xc,Xb1))) # label(aSatz7_22) # label(negated_conjecture) # label(non_clause). [assumption]. 0.97/1.54 0.97/1.54 ============================== end of process non-clausal formulas === 0.97/1.54 0.97/1.54 ============================== PROCESS INITIAL CLAUSES =============== 0.97/1.54 0.97/1.54 ============================== PREDICATE ELIMINATION ================= 0.97/1.54 123 -s_e(A,B,C,D) | s_fs(E,A,F,B,V6,C,V7,D) | -s_e(E,B,V6,D) | -s_e3(E,A,F,V6,C,V7) | -s_col(E,A,F) # label(d_Defn4_15) # label(axiom). [clausify(62)]. 0.97/1.54 124 A = B | s_e(C,D,E,F) | -s_fs(B,A,C,D,V6,V7,E,F) # label(aSatz4_16) # label(axiom). [clausify(29)]. 0.97/1.54 125 s_col(A,B,C) | -s_fs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_15) # label(axiom). [clausify(62)]. 0.97/1.54 126 -s_fs(A,B,C,D,E,F,V6,V7) | s_e3(A,B,C,E,F,V6) # label(d_Defn4_15) # label(axiom). [clausify(62)]. 0.97/1.54 127 -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn4_15) # label(axiom). [clausify(62)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e3(E,A,V6,F,C,V7) | -s_col(E,A,V6) | A = E | s_e(V6,B,V7,D). [resolve(123,b,124,c)]. 0.97/1.54 128 s_e(A,B,C,D) | -s_fs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_15) # label(axiom). [clausify(62)]. 0.97/1.54 129 -s_t(A,B,C) | -s_t(D,E,F) | -s_e(A,V6,D,V7) | s_afs(A,B,C,V6,D,E,F,V7) | -s_e(B,V6,E,V7) | -s_e(B,C,E,F) | -s_e(A,B,D,E) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 130 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 131 s_e(A,B,C,D) | -s_afs(E,A,F,B,V6,C,V7,D) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 132 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 133 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 134 s_e(A,B,C,D) | -s_afs(A,B,E,F,C,D,V6,V7) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 135 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom). [clausify(30)]. 0.97/1.54 136 -s_e(A,B,C,D) | -s_e(A,E,C,F) | s_e3(A,B,E,C,D,F) | -s_e(B,E,D,F) # label(d_Defn4_4) # label(axiom). [clausify(36)]. 0.97/1.54 137 s_col(A,B,C) | -s_e3(D,E,F,A,B,C) | -s_col(D,E,F) # label(aSatz4_13) # label(axiom). [clausify(33)]. 0.97/1.54 138 -s_e3(A,B,C,D,E,F) | s_t(D,E,F) | -s_t(A,B,C) # label(aSatz4_6) # label(axiom). [clausify(34)]. 0.97/1.54 139 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(36)]. 0.97/1.54 140 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom). [clausify(36)]. 0.97/1.54 141 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom). [clausify(36)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | s_col(C,D,F) | -s_col(A,B,E). [resolve(136,c,137,b)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | s_t(C,D,F) | -s_t(A,B,E). [resolve(136,c,138,a)]. 0.97/1.54 142 -s_e(A,B,C,D) | s_e3(A,E,B,C,insert(A,E,C,D),D) | -s_t(A,E,B) # label(aSatz4_5) # label(axiom). [clausify(50)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_col(C,insert(A,E,C,D),D) | -s_col(A,E,B). [resolve(142,b,137,b)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_t(C,insert(A,E,C,D),D) | -s_t(A,E,B). [resolve(142,b,138,a)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(A,E,C,insert(A,E,C,D)). [resolve(142,b,139,b)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(E,B,insert(A,E,C,D),D). [resolve(142,b,141,a)]. 0.97/1.54 143 -s_col(A,B,C) | -s_e(A,B,D,E) | s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) # label(aSatz4_14) # label(axiom). [clausify(63)]. 0.97/1.54 Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_col(D,E,insert5(A,B,C,D,E)) | -s_col(A,B,C). [resolve(143,c,137,b)]. 0.97/1.54 Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_t(D,E,insert5(A,B,C,D,E)) | -s_t(A,B,C). [resolve(143,c,138,a)]. 0.97/1.54 Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_e(A,C,D,insert5(A,B,C,D,E)). [resolve(143,c,140,b)]. 0.97/1.54 Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_e(B,C,E,insert5(A,B,C,D,E)). [resolve(143,c,141,a)]. 0.97/1.54 144 -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e3(E,A,V6,F,C,V7) | -s_col(E,A,V6) | A = E | s_e(V6,B,V7,D). [resolve(123,b,124,c)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_col(E,A,V6) | A = E | s_e(V6,B,V7,D) | -s_e(E,A,F,C) | -s_e(E,V6,F,V7) | -s_e(A,V6,C,V7). [resolve(144,c,136,c)]. 0.97/1.54 Derived: -s_e(A,B,insert(C,A,D,E),F) | -s_e(C,B,D,F) | -s_col(C,A,V6) | A = C | s_e(V6,B,E,F) | -s_e(C,V6,D,E) | -s_t(C,A,V6). [resolve(144,c,142,b)]. 0.97/1.54 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_col(E,A,V6) | A = E | s_e(V6,B,insert5(E,A,V6,F,C),D) | -s_col(E,A,V6) | -s_e(E,A,F,C). [resolve(144,c,143,c)]. 1.87/2.42 145 -s_t(A,B,C) | -s_e(D,E,B,C) | -s_e(E,F,C,V6) | s_ifs(V7,D,E,F,A,B,C,V6) | -s_e(V7,F,A,V6) | -s_e(V7,E,A,C) | -s_t(V7,D,E) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 146 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(A,B,C) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 147 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 148 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 149 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 150 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 151 s_t(A,B,C) | -s_ifs(D,E,F,V6,A,B,C,V7) # label(d_Defn4_1) # label(axiom). [clausify(39)]. 1.87/2.42 152 s_e(A,B,C,D) | -s_ifs(E,A,F,B,V6,C,V7,D) # label(aSatz4_2) # label(axiom). [clausify(65)]. 1.87/2.42 Derived: s_e(A,B,C,D) | -s_t(E,C,F) | -s_e(A,V6,C,F) | -s_e(V6,B,F,D) | -s_e(V7,B,E,D) | -s_e(V7,V6,E,F) | -s_t(V7,A,V6). [resolve(152,b,145,d)]. 1.87/2.42 153 -s_t(A,B,C) | -s_t(D,B,E) | -s_e(B,A,B,D) | -s_m(A,F,D) | -s_m(C,V6,E) | s_kf(A,F,D,B,E,V6,C) | -s_e(B,C,B,E) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 154 -s_kf(A,B,C,D,E,F,V6) | s_t(B,D,F) # label(aSatz7_22b) # label(axiom). [clausify(98)]. 1.87/2.42 155 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 156 -s_kf(A,B,C,D,E,F,V6) | s_m(A,B,C) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 157 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 Derived: -s_t(A,B,C) | -s_t(D,B,E) | -s_e(B,A,B,D) | -s_m(A,F,D) | -s_m(C,V6,E) | -s_e(B,C,B,E) | s_t(F,B,V6). [resolve(153,f,154,a)]. 1.87/2.42 158 s_e(A,B,A,C) | -s_kf(D,E,F,A,C,V6,B) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 159 -s_kf(A,B,C,D,E,F,V6) | s_e(D,A,D,C) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 160 s_t(A,B,C) | -s_kf(D,E,A,B,C,F,V6) # label(d_Defn7_23) # label(axiom). [clausify(114)]. 1.87/2.42 161 s_t(A,B,C) | -le(B,D,B,E) | -s_kf(D,A,F,B,V6,C,E) # label(aSatz7_22a) # label(axiom). [clausify(120)]. 1.87/2.42 1.87/2.42 ============================== end predicate elimination ============= 1.87/2.42 1.87/2.42 Auto_denials: (non-Horn, no changes). 1.87/2.42 1.87/2.42 Term ordering decisions: 1.87/2.42 Function symbol KB weights: alpha=1. gamma=1. xb=1. beta=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. s=1. pointOffLine=1. c63=1. insert=1. ext=1. ins=1. insert5=1. ip=1. crossbar=1. 1.87/2.42 1.87/2.42 ============================== end of process initial clauses ======== 1.87/2.42 1.87/2.42 ============================== CLAUSES FOR SEARCH ==================== 1.87/2.42 1.87/2.42 ============================== end of clauses for search ============= 1.87/2.42 1.87/2.42 ============================== SEARCH ================================ 1.87/2.42 1.87/2.42 % Starting search at 0.07 seconds. 1.87/2.42 1.87/2.42 Low Water (keep): wt=46.000, iters=3341 1.87/2.42 1.87/2.42 Low Water (keep): wt=42.000, iters=3355 1.87/2.42 1.87/2.42 Low Water (keep): wt=40.000, iters=3375 1.87/2.42 1.87/2.42 Low Water (keep): wt=38.000, iters=3352 1.87/2.42 1.87/2.42 Low Water (keep): wt=36.000, iters=3350 1.87/2.42 1.87/2.42 Low Water (keep): wt=35.000, iters=3353 1.87/2.42 1.87/2.42 Low Water (keep): wt=34.000, iters=3342 1.87/2.42 1.87/2.42 Low Water (keep): wt=33.000, iters=3398 1.87/2.42 1.87/2.42 Low Water (keep): wt=31.000, iters=3346 1.87/2.42 1.87/2.42 Low Water (keep): wt=30.000, iters=3362 1.87/2.42 1.87/2.42 Low Water (keep): wt=28.000, iters=3345 1.87/2.42 1.87/2.42 Low Water (keep): wt=27.000, iters=3444 1.87/2.42 1.87/2.42 Low Water (keep): wt=26.000, iters=3355 1.87/2.42 1.87/2.42 Low Water (keep): wt=25.000, iters=3380 1.87/2.42 1.87/2.42 Low Water (keep): wt=24.000, iters=3350 1.87/2.42 1.87/2.42 Low Water (keep): wt=23.000, iters=3379 1.87/2.42 1.87/2.42 Low Water (keep): wt=22.000, iters=3376 1.87/2.42 1.87/2.42 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 227 (0.00 of 0.78 sec). 1.87/2.42 1.87/2.42 Low Water (keep): wt=21.000, iters=3349 1.87/2.42 1.87/2.42 Low Water (keep): wt=19.000, iters=3390 1.87/2.42 1.87/2.42 Low Water (keep): wt=18.000, iters=3422 1.87/2.42 1.87/2.42 Low Water (displace): id=5297, wt=66.000 1.87/2.42 1.87/2.42 Low Water (displace): id=5255, wt=62.000 1.87/2.42 1.87/2.42 Low Water (displace): id=5073, wt=58.000 1.87/2.42 1.87/2.42 Low Water (displace): id=5295, wt=56.000 1.87/2.42 1.87/2.42 Low Water (displace): id=3898, wt=54.000 1.87/2.42 1.87/2.42 Low Water (displace): id=5628, wt=50.000 1.87/2.42 1.87/2.42 Low Water (displace): id=10928, wt=12.000 1.87/2.42 1.87/2.42 Low Water (displacAlarm clock 119.53/120.06 Prover9 interrupted 119.53/120.07 EOF