0.08/0.31 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.32 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.53 % Computer : n027.cluster.edu 0.10/0.53 % Model : x86_64 x86_64 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.53 % Memory : 8042.1875MB 0.10/0.53 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.53 % CPULimit : 960 0.10/0.53 % WCLimit : 120 0.10/0.53 % DateTime : Tue Aug 9 05:50:36 EDT 2022 0.10/0.53 % CPUTime : 0.67/1.22 ============================== Prover9 =============================== 0.67/1.22 Prover9 (32) version 2009-11A, November 2009. 0.67/1.22 Process 15391 was started by sandbox on n027.cluster.edu, 0.67/1.22 Tue Aug 9 05:50:37 2022 0.67/1.22 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_15238_n027.cluster.edu". 0.67/1.22 ============================== end of head =========================== 0.67/1.22 0.67/1.22 ============================== INPUT ================================= 0.67/1.22 0.67/1.22 % Reading from file /tmp/Prover9_15238_n027.cluster.edu 0.67/1.22 0.67/1.22 set(prolog_style_variables). 0.67/1.22 set(auto2). 0.67/1.22 % set(auto2) -> set(auto). 0.67/1.22 % set(auto) -> set(auto_inference). 0.67/1.22 % set(auto) -> set(auto_setup). 0.67/1.22 % set(auto_setup) -> set(predicate_elim). 0.67/1.22 % set(auto_setup) -> assign(eq_defs, unfold). 0.67/1.22 % set(auto) -> set(auto_limits). 0.67/1.22 % set(auto_limits) -> assign(max_weight, "100.000"). 0.67/1.22 % set(auto_limits) -> assign(sos_limit, 20000). 0.67/1.22 % set(auto) -> set(auto_denials). 0.67/1.22 % set(auto) -> set(auto_process). 0.67/1.22 % set(auto2) -> assign(new_constants, 1). 0.67/1.22 % set(auto2) -> assign(fold_denial_max, 3). 0.67/1.22 % set(auto2) -> assign(max_weight, "200.000"). 0.67/1.22 % set(auto2) -> assign(max_hours, 1). 0.67/1.22 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.67/1.22 % set(auto2) -> assign(max_seconds, 0). 0.67/1.22 % set(auto2) -> assign(max_minutes, 5). 0.67/1.22 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.67/1.22 % set(auto2) -> set(sort_initial_sos). 0.67/1.22 % set(auto2) -> assign(sos_limit, -1). 0.67/1.22 % set(auto2) -> assign(lrs_ticks, 3000). 0.67/1.22 % set(auto2) -> assign(max_megs, 400). 0.67/1.22 % set(auto2) -> assign(stats, some). 0.67/1.22 % set(auto2) -> clear(echo_input). 0.67/1.22 % set(auto2) -> set(quiet). 0.67/1.22 % set(auto2) -> clear(print_initial_clauses). 0.67/1.22 % set(auto2) -> clear(print_given). 0.67/1.22 assign(lrs_ticks,-1). 0.67/1.22 assign(sos_limit,10000). 0.67/1.22 assign(order,kbo). 0.67/1.22 set(lex_order_vars). 0.67/1.22 clear(print_given). 0.67/1.22 0.67/1.22 % formulas(sos). % not echoed (87 formulas) 0.67/1.22 0.67/1.22 ============================== end of input ========================== 0.67/1.22 0.67/1.22 % From the command line: assign(max_seconds, 960). 0.67/1.22 0.67/1.22 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.67/1.22 0.67/1.22 % Formulas that are not ordinary clauses: 0.67/1.22 1 (all X all Y all Z (-s_e(X,Y,Z,Z) | X = Y)) # label(aA3) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 2 (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]. 0.67/1.22 3 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 4 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 5 (all Xa all Xp all Xc all Xb all Xq ((s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) | -s_t(Xb,Xq,Xc) | -s_t(Xa,Xp,Xc)) & (-s_t(Xa,Xp,Xc) | -s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb)))) # label(aA7) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 6 (all X all Y all Z all V all Z2 all V2 (s_e(Z,V,Z2,V2) | -s_e(X,Y,Z2,V2) | -s_e(X,Y,Z,V))) # label(aA2) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 7 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,Y,X1,Y1) | -s_e(Y,Z,Y1,Z1) | -s_e(Y,V,Y1,V1) | -s_t(X1,Y1,Z1) | s_e(Z,V,Z1,V1) | X = Y | -s_t(X,Y,Z) | -s_e(X,V,X1,V1))) # label(aA5) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 8 (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]. 0.67/1.22 9 (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]. 0.67/1.22 10 (all Xa all Xp all Xb all Xc (sameside(Xa,Xp,Xb) | Xp = Xa | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | Xp = Xc | Xb = Xp)) # label(aSatz6_3b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 11 (all Xb all Xa ext(Xa,Xb,alpha,gamma) != Xb) # label(aSatz3_14b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 12 (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(Xa,Xd,Za,Zd)) & (s_e(Xb,Xd,Zb,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_e(Xb,Xd,Zb,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_t(Za,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (s_e(Xb,Xc,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xb,Za,Zb)) & (s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn2_10) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 13 (all Xb all Xc all Xa (Xb = Xc | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 14 (all Xa all Xb all Xc all Xd (Xa = Xb | s_t(Xb,Xd,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_2) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 15 (all Xa all Xb all Xc all Xd (Xc = Xb | s_t(Xa,Xb,Xd) | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 16 (all Xa all Xb all Xc all Xd ((ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd) | -le(Xa,Xb,Xc,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]. 0.67/1.22 17 (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]. 0.67/1.22 18 (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]. 0.67/1.22 19 (all Xa all Xb all Xc all Xd (s_e(Xc,Xd,Xa,Xb) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_2) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 20 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 21 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 22 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 23 (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]. 0.67/1.22 24 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xc,Xd))) # label(aSatz3_6a) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 25 (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]. 0.67/1.22 26 (all Xa all Xb all Xc all Xd (s_t(Xa,Xc,Xd) | s_t(Xa,Xd,Xc) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc) | Xa = Xb)) # label(aSatz5_1) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 27 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xc,Xd,Xc1,Xd1) | le(Xa1,Xb1,Xc1,Xd1) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_6) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 28 (all Xa all Xp all Xb all Xc (Xp = Xa | Xb = Xp | Xc = Xp | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc))) # label(aSatz6_2a) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 29 (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_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_col(Xa,Xb,Xc)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xa,Xd,Xa1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 30 (all Xq all Xa all Xd all Xb all Xc (Xq = Xa | Xd = ext(Xq,Xa,Xb,Xc) | -s_e(Xa,Xd,Xb,Xc) | -s_t(Xq,Xa,Xd))) # label(aSatz2_12) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 31 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | Xb = Xc | s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd))) # label(aSatz3_7a) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 32 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_t(Xa1,Xb1,Xc1))) # label(aSatz4_6) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 33 (all Xa all Xb all Xc all Xp all Xq (-s_e(Xa,Xp,Xa,Xq) | -s_e(Xb,Xp,Xb,Xq) | s_e(Xc,Xp,Xc,Xq) | -s_col(Xa,Xb,Xc) | Xb = Xa)) # label(aSatz4_17) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 34 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 35 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 36 (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]. 0.67/1.22 37 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa1,Xc1) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa1,Xc1) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)))) # label(aSatz4_5) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 38 (all Xa all Xb all Xc all Xc1 (Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1) | -s_col(Xa,Xb,Xc) | Xa = Xb)) # label(aSatz4_18) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 39 (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]. 0.67/1.22 40 (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]. 0.67/1.22 41 (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]. 0.67/1.22 42 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((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(Xc,Xd,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | -s_t(Za,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (s_e(Xc,Xd,Zc,Zd) | -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(Xb,Xc,Zb,Zc) | -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_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 43 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all 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)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa3,Xb1,Xb3)) & (s_e(Xa1,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 44 (all Xa all Xb all Xc all Xd all Xe (le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xe,Xc,Xd) | -s_t(Xa,Xb,Xe))) # label(aSatz5_5b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 45 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 46 (all Xa all Xp all Xb ((Xp != Xb | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xb,Xa) | s_t(Xp,Xa,Xb)) & (-s_t(Xp,Xb,Xa) | Xb = Xp | sameside(Xa,Xp,Xb) | Xa = Xp) & (sameside(Xa,Xp,Xb) | xb = Xp | Xa = Xp | -s_t(Xp,Xa,Xb)) & (-sameside(Xa,Xp,Xb) | Xp != Xa))) # label(d_Defn6_1) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 47 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 48 (all Xa all Xb all Xc all Xd (s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 49 (all Xa all Xc all Xb all Xc1 (Xc = Xc1 | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1) | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 50 (all Xa all Xb all Xc all Xd (-le(Xc,Xd,Xa,Xb) | s_e(Xa,Xb,Xc,Xd) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 51 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 52 (all Xa all Xb all Xa1 all Xc1 insert(Xa,Xb,Xa1,Xc1) = ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb)) # label(d_insert) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 53 (all Xa all Xp all Xb all Xc (Xp = Xc | -s_t(Xa,Xp,Xc) | -sameside(Xa,Xp,Xb) | s_t(Xb,Xp,Xc) | Xb = Xp | Xa = Xp)) # label(aSatz6_2b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 54 (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]. 0.67/1.22 55 (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]. 0.67/1.22 56 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 57 (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]. 0.67/1.22 58 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa,Xp,Xa1) | -s_t(Xa1,Xb1,Xc) | -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]. 0.67/1.22 59 (all Xa all Xb all Xd all Xc (s_t(Xa,Xc,Xb) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 60 (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]. 0.67/1.22 61 (all Xa all Xb all Xc ((-s_t(Xa,Xb,Xc) | s_col(Xa,Xb,Xc)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb)))) # label(d_Defn4_10) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 62 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa1,Xb1,Xc1))) # label(aSatz2_11) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 63 (all Xa all Xb all Xc all Xd all Xe all Xf (-le(Xc,Xd,Xe,Xf) | le(Xa,Xb,Xe,Xf) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_8) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 64 (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]. 0.67/1.22 65 (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]. 0.67/1.22 66 (all Xa all Xp all Xb ((Xp != Xa | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | Xp != c63(Xa,Xp,Xb)) & (Xp != Xb | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 67 (all Xa all Xp all Xb ((s_col(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-s_t(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 68 (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]. 0.67/1.22 69 (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]. 0.67/1.22 70 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 71 (all Xa all Xb all Xc (-s_t(Xb,Xa,Xc) | Xb = Xa | -s_t(Xa,Xb,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 72 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_e(Xa,Xb,Xa1,Xb1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_col(Xa,Xb,Xc))) # label(aSatz4_14) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 73 (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]. 0.67/1.22 74 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xp = Xa)) # label(aSatz6_5) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 75 (all Xa all Xb all Xc (s_t(Xa,Xb,Xc) | -le(Xa,Xb,Xa,Xc) | -le(Xb,Xc,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause). [assumption]. 0.67/1.22 76 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (s_e(Xc,Xd,Xc1,Xd1) | Xb = Xa | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause). [assumption]. 0.67/1.23 77 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_3) # label(axiom) # label(non_clause). [assumption]. 0.67/1.23 78 (all Xa all Xp all Xb (sameside(Xb,Xp,Xa) | -sameside(Xa,Xp,Xb))) # label(aSatz6_6) # label(axiom) # label(non_clause). [assumption]. 0.67/1.23 79 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause). [assumption]. 0.67/1.23 80 (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]. 0.67/1.23 81 -(all Xr all Xa all Xb all Xc ((Xr = Xa | Xb = Xc | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr)) & (s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xc = Xb | Xr = Xa))) # label(aSatz6_11a) # label(negated_conjecture) # label(non_clause). [assumption]. 0.67/1.23 0.67/1.23 ============================== end of process non-clausal formulas === 0.67/1.23 0.67/1.23 ============================== PROCESS INITIAL CLAUSES =============== 0.67/1.23 0.67/1.23 ============================== PREDICATE ELIMINATION ================= 0.67/1.23 82 -s_e(A,B,C,D) | s_afs(A,B,E,F,C,D,V6,V7) | -s_e(B,F,D,V7) | -s_e(A,F,C,V7) | -s_e(B,E,D,V6) | -s_t(C,D,V6) | -s_t(A,B,E) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 83 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 84 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 85 s_e(A,B,C,D) | -s_afs(E,A,F,B,V6,C,V7,D) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 86 s_e(A,B,C,D) | -s_afs(E,A,B,F,V6,C,D,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 87 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 88 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.67/1.23 89 s_ifs(A,B,C,D,E,F,V6,V7) | -s_e(C,D,V6,V7) | -s_e(A,D,E,V7) | -s_e(B,C,F,V6) | -s_e(A,C,E,V6) | -s_t(E,F,V6) | -s_t(A,B,C) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 90 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(aSatz4_2) # label(axiom). [clausify(17)]. 0.67/1.23 91 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(V6,A,V7,C) | -s_e(E,A,F,C) | -s_t(F,V7,C) | -s_t(E,V6,A) | s_e(V6,B,V7,D). [resolve(89,a,90,a)]. 0.67/1.23 92 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 93 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 94 s_e(A,B,C,D) | -s_ifs(E,A,B,F,V6,C,D,V7) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 95 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 96 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom). [clausify(42)]. 0.67/1.23 97 -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(29)]. 0.67/1.23 98 s_col(A,B,C) | -s_e3(D,E,F,A,B,C) | -s_col(D,E,F) # label(aSatz4_13) # label(axiom). [clausify(23)]. 0.67/1.23 Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_col(E,F,V6) | -s_col(A,B,C). [resolve(97,b,98,b)]. 0.67/1.23 99 -s_e3(A,B,C,D,E,F) | -s_e(A,V6,D,V7) | -s_e(B,V6,E,V7) | s_fs(A,B,C,V6,D,E,F,V7) | -s_col(A,B,C) # label(d_Defn4_15) # label(axiom). [clausify(29)]. 0.67/1.23 Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | s_fs(A,E,V6,B,C,F,V7,D) | -s_col(A,E,V6) | -s_fs(A,E,V6,V8,C,F,V7,V9). [resolve(99,a,97,b)]. 0.67/1.23 100 -s_t(A,B,C) | -s_e3(A,B,C,D,E,F) | s_t(D,E,F) # label(aSatz4_6) # label(axiom). [clausify(32)]. 0.67/1.23 Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7). [resolve(100,b,97,b)]. 0.67/1.23 101 -s_t(A,B,C) | -s_e(A,C,D,E) | s_e3(A,B,C,D,insert(A,B,D,E),E) # label(aSatz4_5) # label(axiom). [clausify(37)]. 0.67/1.23 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(101,c,98,b)]. 0.67/1.23 Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | -s_e(A,F,D,V6) | -s_e(B,F,insert(A,B,D,E),V6) | s_fs(A,B,C,F,D,insert(A,B,D,E),E,V6) | -s_col(A,B,C). [resolve(101,c,99,a)]. 0.67/1.23 Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | -s_t(A,B,C) | s_t(D,insert(A,B,D,E),E). [resolve(101,c,100,b)]. 2.34/2.84 102 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom). [clausify(43)]. 2.34/2.84 Derived: s_e(A,B,C,D) | -s_fs(E,A,B,F,V6,C,D,V7). [resolve(102,a,97,b)]. 2.34/2.84 Derived: s_e(A,B,insert(C,A,D,E),E) | -s_t(C,A,B) | -s_e(C,B,D,E). [resolve(102,a,101,c)]. 2.34/2.84 103 -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(43)]. 2.34/2.84 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(103,c,98,b)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | -s_e(A,V6,C,V7) | -s_e(B,V6,D,V7) | s_fs(A,B,E,V6,C,D,F,V7) | -s_col(A,B,E). [resolve(103,c,99,a)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | -s_t(A,B,E) | s_t(C,D,F). [resolve(103,c,100,b)]. 2.34/2.84 104 -s_e3(A,B,C,D,E,F) | s_e(A,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(43)]. 2.34/2.84 Derived: s_e(A,B,C,D) | -s_fs(A,E,B,F,C,V6,D,V7). [resolve(104,a,97,b)]. 2.34/2.84 105 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(43)]. 2.34/2.84 Derived: s_e(A,B,C,D) | -s_fs(A,B,E,F,C,D,V6,V7). [resolve(105,b,97,b)]. 2.34/2.84 Derived: s_e(A,B,C,insert(A,B,C,D)) | -s_t(A,B,E) | -s_e(A,E,C,D). [resolve(105,b,101,c)]. 2.34/2.84 106 -s_e(A,B,C,D) | s_e3(A,B,E,C,D,insert5(A,B,E,C,D)) | -s_col(A,B,E) # label(aSatz4_14) # label(axiom). [clausify(72)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_col(C,D,insert5(A,B,E,C,D)) | -s_col(A,B,E). [resolve(106,b,98,b)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | -s_e(A,F,C,V6) | -s_e(B,F,D,V6) | s_fs(A,B,E,F,C,D,insert5(A,B,E,C,D),V6) | -s_col(A,B,E). [resolve(106,b,99,a)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | -s_t(A,B,E) | s_t(C,D,insert5(A,B,E,C,D)). [resolve(106,b,100,b)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(B,E,D,insert5(A,B,E,C,D)). [resolve(106,b,102,a)]. 2.34/2.84 Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(A,E,C,insert5(A,B,E,C,D)). [resolve(106,b,104,a)]. 2.34/2.84 2.34/2.84 ============================== end predicate elimination ============= 2.34/2.84 2.34/2.84 Auto_denials: (non-Horn, no changes). 2.34/2.84 2.34/2.84 Term ordering decisions: 2.34/2.84 Function symbol KB weights: alpha=1. gamma=1. xb=1. beta=1. c1=1. c2=1. c3=1. c4=1. c63=1. insert=1. ext=1. ins=1. insert5=1. ip=1. crossbar=1. 2.34/2.84 2.34/2.84 ============================== end of process initial clauses ======== 2.34/2.84 2.34/2.84 ============================== CLAUSES FOR SEARCH ==================== 2.34/2.84 2.34/2.84 ============================== end of clauses for search ============= 2.34/2.84 2.34/2.84 ============================== SEARCH ================================ 2.34/2.84 2.34/2.84 % Starting search at 0.04 seconds. 2.34/2.84 2.34/2.84 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 21 (0.00 of 0.58 sec). 2.34/2.84 2.34/2.84 Low Water (keep): wt=49.000, iters=3346 2.34/2.84 2.34/2.84 Low Water (keep): wt=47.000, iters=3378 2.34/2.84 2.34/2.84 Low Water (keep): wt=44.000, iters=3508 2.34/2.84 2.34/2.84 Low Water (keep): wt=42.000, iters=3438 2.34/2.84 2.34/2.84 Low Water (keep): wt=40.000, iters=3351 2.34/2.84 2.34/2.84 Low Water (keep): wt=39.000, iters=3336 2.34/2.84 2.34/2.84 Low Water (keep): wt=38.000, iters=3361 2.34/2.84 2.34/2.84 Low Water (keep): wt=36.000, iters=3383 2.34/2.84 2.34/2.84 Low Water (keep): wt=35.000, iters=3380 2.34/2.84 2.34/2.84 Low Water (keep): wt=34.000, iters=3358 2.34/2.84 2.34/2.84 Low Water (keep): wt=33.000, iters=3360 2.34/2.84 2.34/2.84 Low Water (keep): wt=31.000, iters=3348 2.34/2.84 2.34/2.84 Low Water (keep): wt=30.000, iters=3367 2.34/2.84 2.34/2.84 Low Water (keep): wt=28.000, iters=3343 2.34/2.84 2.34/2.84 Low Water (keep): wt=26.000, iters=3506 2.34/2.84 2.34/2.84 Low Water (keep): wt=25.000, iters=3350 2.34/2.84 2.34/2.84 Low Water (keep): wt=24.000, iters=3338 2.34/2.84 2.34/2.84 Low Water (keep): wt=23.000, iters=3341 2.34/2.84 2.34/2.84 Low Water (keep): wt=22.000, iters=3339 2.34/2.84 2.34/2.84 Low Water (displace): id=3040, wt=135.000 2.34/2.84 2.34/2.84 Low Water (displace): id=2661, wt=95.000 2.34/2.84 2.34/2.84 Low Water (displace): id=1116, wt=90.000 2.34/2.84 2.34/2.84 Low Water (displace): id=3275, wt=82.000 2.34/2.84 2.34/2.84 Low Water (displace): id=5975, wt=78.000 2.34/2.84 2.34/2.84 Low Water (displace): id=3011, wt=77.000 2.34/2.84 2.34/2.84 Low Water (displace): id=12401, wt=21.000 2.34/2.84 2.34/2.84 Low Water (displace): id=12415, wt=18.000 2.34/2.84 2.34/2.84 Low Water (displace): id=12420, wt=17.000 2.34/2.84 2.34/2.84 Low Water (displace): id=12464, wt=16.000 2.34/2.84 2.34/2.84 Low Water (displace): id=12465, wt=15.000 2.34/2.84 2.34/2.84 Low Water (displace): id=12476, wt=14.000 2.34/2.84 2.34/2.84 Low Water (displace): id=13116, wt=13.000 2.34/2.84 2.34/2.84 Low Water (keep): wt=21.000, iters=3368 2.34/2.84 2.34/2.84 Low Water (keep): wt=18.000, iters=4584 2.34/2.84 2.34/2.84 Low Water Alarm clock 119.50/120.05 Prover9 interrupted 119.50/120.05 EOF