0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.23 % Computer : n022.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:26:27 CDT 2018 0.02/0.23 % CPUTime : 0.35/0.54 ============================== Prover9 =============================== 0.35/0.54 Prover9 (32) version 2009-11A, November 2009. 0.35/0.54 Process 40944 was started by sandbox on n022.star.cs.uiowa.edu, 0.35/0.54 Sat Jul 14 05:26:28 2018 0.35/0.54 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_40912_n022.star.cs.uiowa.edu". 0.35/0.54 ============================== end of head =========================== 0.35/0.54 0.35/0.54 ============================== INPUT ================================= 0.35/0.54 0.35/0.54 % Reading from file /tmp/Prover9_40912_n022.star.cs.uiowa.edu 0.35/0.54 0.35/0.54 set(prolog_style_variables). 0.35/0.54 set(auto2). 0.35/0.54 % set(auto2) -> set(auto). 0.35/0.54 % set(auto) -> set(auto_inference). 0.35/0.54 % set(auto) -> set(auto_setup). 0.35/0.54 % set(auto_setup) -> set(predicate_elim). 0.35/0.54 % set(auto_setup) -> assign(eq_defs, unfold). 0.35/0.54 % set(auto) -> set(auto_limits). 0.35/0.54 % set(auto_limits) -> assign(max_weight, "100.000"). 0.35/0.54 % set(auto_limits) -> assign(sos_limit, 20000). 0.35/0.54 % set(auto) -> set(auto_denials). 0.35/0.54 % set(auto) -> set(auto_process). 0.35/0.54 % set(auto2) -> assign(new_constants, 1). 0.35/0.54 % set(auto2) -> assign(fold_denial_max, 3). 0.35/0.54 % set(auto2) -> assign(max_weight, "200.000"). 0.35/0.54 % set(auto2) -> assign(max_hours, 1). 0.35/0.54 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.35/0.54 % set(auto2) -> assign(max_seconds, 0). 0.35/0.54 % set(auto2) -> assign(max_minutes, 5). 0.35/0.54 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.35/0.54 % set(auto2) -> set(sort_initial_sos). 0.35/0.54 % set(auto2) -> assign(sos_limit, -1). 0.35/0.54 % set(auto2) -> assign(lrs_ticks, 3000). 0.35/0.54 % set(auto2) -> assign(max_megs, 400). 0.35/0.54 % set(auto2) -> assign(stats, some). 0.35/0.54 % set(auto2) -> clear(echo_input). 0.35/0.54 % set(auto2) -> set(quiet). 0.35/0.54 % set(auto2) -> clear(print_initial_clauses). 0.35/0.54 % set(auto2) -> clear(print_given). 0.35/0.54 assign(lrs_ticks,-1). 0.35/0.54 assign(sos_limit,10000). 0.35/0.54 assign(order,kbo). 0.35/0.54 set(lex_order_vars). 0.35/0.54 clear(print_given). 0.35/0.54 0.35/0.54 % formulas(sos). % not echoed (87 formulas) 0.35/0.54 0.35/0.54 ============================== end of input ========================== 0.35/0.54 0.35/0.54 % From the command line: assign(max_seconds, 300). 0.35/0.54 0.35/0.54 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.35/0.54 0.35/0.54 % Formulas that are not ordinary clauses: 0.35/0.54 1 (all X all Y all Z (-s_e(X,Y,Z,Z) | Y = X)) # label(aA3) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(Y,Z,Y1,Z1) | -s_e(Y,V,Y1,V1) | -s_t(X,Y,Z) | -s_t(X1,Y1,Z1) | X = Y | s_e(Z,V,Z1,V1) | -s_e(X,V,X1,V1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 3 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 4 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 5 (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]. 0.35/0.54 6 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z,V) | -s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2))) # label(aA2) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 7 (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(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]. 0.35/0.54 8 (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]. 0.35/0.54 9 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 10 (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_t(Za,Zb,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_t(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | 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(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(Xb,Xc,Zb,Zc)) & (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]. 0.35/0.54 11 (all Xa all Xc all Xb all Xc1 (Xc1 = Xc | -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]. 0.35/0.54 12 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (s_e(Xa,Xb,Za,Zb) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xb,Xc,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Xa,Xb,Xc) | -s_e(Xb,Xd,Zb,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xb,Za,Zb) | -s_t(Za,Zb,Zc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (s_e(Xa,Xd,Za,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (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]. 0.35/0.54 13 (all Xa all Xb all Xc all Xd (s_e(Xa,Xb,Xd,Xc) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_5) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 14 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xa,Xb,Xd) | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 15 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 16 (all Xa all Xb all Xc (-s_e(Xa,Xc,Xa,Xb) | Xc = Xb | -s_t(Xa,Xb,Xc))) # label(aNarbouxLemma1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 17 (all Xq all Xa all Xd all Xb all Xc (Xa = Xq | -s_t(Xq,Xa,Xd) | -s_e(Xa,Xd,Xb,Xc) | ext(Xq,Xa,Xb,Xc) = Xd)) # label(aSatz2_12) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 18 (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]. 0.35/0.54 19 (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]. 0.35/0.54 20 (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]. 0.35/0.54 21 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((s_e(Xa1,Xa3,Xb1,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (-s_e(Xa1,Xa2,Xb1,Xb2) | -s_e(Xa1,Xa3,Xb1,Xb3) | -s_e(Xa2,Xa3,Xb2,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,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 22 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 23 (all Xa all Xb all Xc all Xd ((s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)) | -le(Xa,Xb,Xc,Xd)) & (s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd) | -le(Xa,Xb,Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd)))) # label(aSatz5_5a) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 24 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | -le(Xa,Xb,Xa,Xc) | -le(Xb,Xc,Xa,Xc) | s_t(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 25 (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]. 0.35/0.54 26 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xc,Xa,Xb)) & (s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb) | -s_col(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 27 (all Xa all Xb all Xc all Xd all Xe all Xf (-le(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xe,Xf) | le(Xa,Xb,Xe,Xf))) # label(aSatz5_8) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 28 (all Xa all Xb all Xc all Xp all Xq (Xb = Xa | -s_e(Xb,Xp,Xb,Xq) | s_e(Xc,Xp,Xc,Xq) | -s_e(Xa,Xp,Xa,Xq) | -s_col(Xa,Xb,Xc))) # label(aSatz4_17) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 29 (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]. 0.35/0.54 30 (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]. 0.35/0.54 31 (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]. 0.35/0.54 32 (all Xa all Xb all Xd all Xc (-s_t(Xb,Xc,Xd) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5a) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 33 (all Xa all Xb all Xc all Xd (Xa = Xb | s_t(Xb,Xc,Xd) | s_t(Xb,Xd,Xc) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_2) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 34 (all Xa all Xp all Xb all Xc (Xa = Xp | Xp = Xb | Xp = Xc | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 35 (all Xa all Xb all Xc all Xc1 (Xa = Xb | -s_col(Xa,Xb,Xc) | Xc = Xc1 | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1))) # label(aSatz4_18) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 36 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xc,Xa,Xb))) # label(aSatz4_11b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 37 (all Xb all Xc all Xa (-s_e(Xb,Xc,Xa,Xa) | Xc = Xb)) # label(aSatz2_13) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 38 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xp = Xa)) # label(aSatz6_5) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 39 (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]. 0.35/0.54 40 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 41 (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]. 0.35/0.54 42 (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_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa,Xb,Xc)))) # label(aSatz4_5) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 43 (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]. 0.35/0.54 44 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_3) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 45 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xc = Xb | s_t(Xa,Xb,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 46 (all Xb all Xa ext(Xa,Xb,alpha,gamma) != Xb) # label(aSatz3_14b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 47 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | le(Xa,Xb,Xa,Xc) | -s_t(Xa,Xb,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 48 (all Xa all Xb all Xc all XA all XB all XC (-s_e(Xa,Xb,XB,XC) | s_e(Xa,Xc,XA,XC) | -s_e(Xb,Xc,XA,XB) | -s_t(XA,XB,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 49 (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]. 0.35/0.54 50 (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]. 0.35/0.54 51 (all Xa all Xp all Xb all Xc (Xa = Xp | Xp = Xb | Xp = Xc | -s_t(Xa,Xp,Xc) | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb))) # label(aSatz6_2b) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 52 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xb != Xp) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xb,Xa) | s_t(Xp,Xa,Xb)) & (Xa = Xp | Xp = xb | sameside(Xa,Xp,Xb) | -s_t(Xp,Xa,Xb)) & (-s_t(Xp,Xb,Xa) | Xa = Xp | Xp = Xb | sameside(Xa,Xp,Xb)) & (Xp != Xa | -sameside(Xa,Xp,Xb)))) # label(d_Defn6_1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 53 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | s_t(Xc,Xb,Xa))) # label(aSatz3_2) # label(axiom) # label(non_clause). [assumption]. 0.35/0.54 54 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa1,Xb1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa,Xb,Xc))) # label(aSatz2_11) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 55 (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]. 0.35/0.55 56 (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]. 0.35/0.55 57 (all Xa all Xp all Xb all Xc (Xa = Xp | Xb = Xp | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xc = Xp)) # label(aSatz6_2a) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 58 (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]. 0.35/0.55 59 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 60 (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_e(Xc,Xd,Xc1,Xd1) | Xb = Xa)) # label(aSatz4_16) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 61 (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]. 0.35/0.55 62 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xc,Xb,Xa))) # label(aSatz4_11c) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 63 (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]. 0.35/0.55 64 (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) | le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y)) & (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]. 0.35/0.55 65 (all Xa all Xp all Xb ((s_t(Xa,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (c63(Xa,Xp,Xb) != Xp | -sameside(Xa,Xp,Xb)) & (Xp != Xb | -sameside(Xa,Xp,Xb)) & (Xa != Xp | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 66 (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]. 0.35/0.55 67 (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]. 0.35/0.55 68 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 69 (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]. 0.35/0.55 70 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 71 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 72 (all Xa all Xp all Xb ((s_col(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 73 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_col(Xa,Xb,Xc) | s_col(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz4_13) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 74 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 75 (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_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1)) & (-s_col(Xa,Xb,Xc) | -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_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 76 (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]. 0.35/0.55 77 (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]. 0.35/0.55 78 (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]. 0.35/0.55 79 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 80 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-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) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause). [assumption]. 0.35/0.55 81 -(all Xr all Xa all Xb all Xc ((sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xc = Xb | Xr = Xa) & (Xr = Xa | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xb = Xc))) # label(aSatz6_11a) # label(negated_conjecture) # label(non_clause). [assumption]. 0.35/0.55 0.35/0.55 ============================== end of process non-clausal formulas === 0.35/0.55 0.35/0.55 ============================== PROCESS INITIAL CLAUSES =============== 0.35/0.55 0.35/0.55 ============================== PREDICATE ELIMINATION ================= 0.35/0.55 82 -s_t(A,B,C) | -s_t(D,E,F) | -s_e(A,C,D,F) | s_ifs(A,B,C,V6,D,E,F,V7) | -s_e(C,V6,F,V7) | -s_e(A,V6,D,V7) | -s_e(B,C,E,F) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 83 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 84 s_t(A,B,C) | -s_ifs(D,E,F,V6,A,B,C,V7) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 85 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 86 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 87 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 88 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom). [clausify(10)]. 0.35/0.55 89 s_e(A,B,C,D) | -s_ifs(E,A,F,B,V6,C,V7,D) # label(aSatz4_2) # label(axiom). [clausify(58)]. 0.35/0.55 Derived: s_e(A,B,C,D) | -s_t(E,A,F) | -s_t(V6,C,V7) | -s_e(E,F,V6,V7) | -s_e(F,B,V7,D) | -s_e(E,B,V6,D) | -s_e(A,F,C,V7). [resolve(89,b,82,d)]. 0.35/0.55 90 -s_t(A,B,C) | -s_e(B,D,E,F) | s_afs(A,B,C,D,V6,E,V7,F) | -s_e(A,D,V6,F) | -s_e(B,C,E,V7) | -s_e(A,B,V6,E) | -s_t(V6,E,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 91 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 92 s_e(A,B,C,D) | -s_afs(A,B,E,F,C,D,V6,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 93 s_e(A,B,C,D) | -s_afs(E,A,B,F,V6,C,D,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 94 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 95 s_e(A,B,C,D) | -s_afs(A,E,F,B,C,V6,V7,D) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 96 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom). [clausify(12)]. 0.35/0.55 97 -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(21)]. 0.35/0.55 98 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom). [clausify(21)]. 0.35/0.55 99 s_e(A,B,C,D) | -s_e3(E,A,B,F,C,D) # label(d_Defn4_4) # label(axiom). [clausify(21)]. 0.35/0.55 100 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(21)]. 0.35/0.55 101 s_e3(A,B,C,D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C) # label(aSatz4_5) # label(axiom). [clausify(42)]. 0.35/0.55 Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(E,B,insert(A,E,C,D),D). [resolve(101,a,99,b)]. 0.35/0.55 Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(A,E,C,insert(A,E,C,D)). [resolve(101,a,100,b)]. 0.35/0.55 102 -s_t(A,B,C) | -s_e3(A,B,C,D,E,F) | s_t(D,E,F) # label(aSatz4_6) # label(axiom). [clausify(49)]. 0.35/0.55 Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_e(A,B,D,E) | -s_e(A,C,D,F) | -s_e(B,C,E,F). [resolve(102,b,97,d)]. 0.35/0.55 Derived: -s_t(A,B,C) | s_t(D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C). [resolve(102,b,101,a)]. 0.35/0.55 103 -s_col(A,B,C) | s_col(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_13) # label(axiom). [clausify(73)]. 0.35/0.55 Derived: -s_col(A,B,C) | s_col(D,E,F)Cputime limit exceeded (core dumped) 300.07/300.28 EOF