0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.11/0.31 % Computer : n004.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % DateTime : Tue Jul 13 17:01:39 EDT 2021 0.11/0.32 % CPUTime : 0.37/1.04 ============================== Prover9 =============================== 0.37/1.04 Prover9 (32) version 2009-11A, November 2009. 0.37/1.04 Process 7530 was started by sandbox on n004.cluster.edu, 0.37/1.04 Tue Jul 13 17:01:39 2021 0.37/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_7374_n004.cluster.edu". 0.37/1.04 ============================== end of head =========================== 0.37/1.04 0.37/1.04 ============================== INPUT ================================= 0.37/1.04 0.37/1.04 % Reading from file /tmp/Prover9_7374_n004.cluster.edu 0.37/1.04 0.37/1.04 set(prolog_style_variables). 0.37/1.04 set(auto2). 0.37/1.04 % set(auto2) -> set(auto). 0.37/1.04 % set(auto) -> set(auto_inference). 0.37/1.04 % set(auto) -> set(auto_setup). 0.37/1.04 % set(auto_setup) -> set(predicate_elim). 0.37/1.04 % set(auto_setup) -> assign(eq_defs, unfold). 0.37/1.04 % set(auto) -> set(auto_limits). 0.37/1.04 % set(auto_limits) -> assign(max_weight, "100.000"). 0.37/1.04 % set(auto_limits) -> assign(sos_limit, 20000). 0.37/1.04 % set(auto) -> set(auto_denials). 0.37/1.04 % set(auto) -> set(auto_process). 0.37/1.04 % set(auto2) -> assign(new_constants, 1). 0.37/1.04 % set(auto2) -> assign(fold_denial_max, 3). 0.37/1.04 % set(auto2) -> assign(max_weight, "200.000"). 0.37/1.04 % set(auto2) -> assign(max_hours, 1). 0.37/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.37/1.04 % set(auto2) -> assign(max_seconds, 0). 0.37/1.04 % set(auto2) -> assign(max_minutes, 5). 0.37/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.37/1.04 % set(auto2) -> set(sort_initial_sos). 0.37/1.04 % set(auto2) -> assign(sos_limit, -1). 0.37/1.04 % set(auto2) -> assign(lrs_ticks, 3000). 0.37/1.04 % set(auto2) -> assign(max_megs, 400). 0.37/1.04 % set(auto2) -> assign(stats, some). 0.37/1.04 % set(auto2) -> clear(echo_input). 0.37/1.04 % set(auto2) -> set(quiet). 0.37/1.04 % set(auto2) -> clear(print_initial_clauses). 0.37/1.04 % set(auto2) -> clear(print_given). 0.37/1.04 assign(lrs_ticks,-1). 0.37/1.04 assign(sos_limit,10000). 0.37/1.04 assign(order,kbo). 0.37/1.04 set(lex_order_vars). 0.37/1.04 clear(print_given). 0.37/1.04 0.37/1.04 % formulas(sos). % not echoed (17 formulas) 0.37/1.04 0.37/1.04 ============================== end of input ========================== 0.37/1.04 0.37/1.04 % From the command line: assign(max_seconds, 1200). 0.37/1.04 0.37/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.37/1.04 0.37/1.04 % Formulas that are not ordinary clauses: 0.37/1.04 1 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = A | B = X)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 2 (all X all A (A = X <-> member(X,singleton(A)))) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 3 (all A all B ((all X (member(X,A) -> member(X,B))) <-> subset(A,B))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 4 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 5 (all B all A all E (member(B,E) & -member(B,A) <-> member(B,difference(E,A)))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 6 (all X all A all B (member(X,B) & member(X,A) <-> member(X,intersection(A,B)))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 7 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 8 (all X all A ((all Y (member(Y,A) -> member(X,Y))) <-> member(X,product(A)))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 9 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 10 (all X all A (member(X,sum(A)) <-> (exists Y (member(X,Y) & member(Y,A))))) # label(sum) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 11 (all X all A all B (member(X,union(A,B)) <-> member(X,A) | member(X,B))) # label(union) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 12 (all R all E all A all X (member(X,equivalence_class(A,E,R)) <-> apply(R,A,X) & member(X,E))) # label(equivalence_class) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 13 (all R all E ((all X all Y all Z (member(X,E) & member(Z,E) & member(Y,E) -> (apply(R,Y,Z) & apply(R,X,Y) -> apply(R,X,Z)))) & (all X (member(X,E) -> apply(R,X,X))) <-> pre_order(R,E))) # label(pre_order) # label(axiom) # label(non_clause). [assumption]. 0.37/1.04 14 (all A all B (-(exists X (member(X,B) & member(X,A))) <-> disjoint(A,B))) # label(disjoint) # label(axiom) # label(non_clause). [assumption]. 0.37/1.05 15 (all A all R ((all X all Y all Z (member(X,A) & member(Z,A) & member(Y,A) -> (apply(R,X,Y) & apply(R,Y,Z) -> apply(R,X,Z)))) & (all X all Y (member(X,A) & member(Y,A) -> (apply(R,X,Y) -> apply(R,Y,X)))) & (all X (member(X,A) -> apply(R,X,X))) <-> equivalence(R,A))) # label(equivalence) # label(axiom) # label(non_clause). [assumption]. 0.37/1.05 16 (all A all E (partition(A,E) <-> (all X all Y (member(X,A) & member(Y,A) -> ((exists Z (member(Z,Y) & member(Z,X))) -> Y = X))) & (all X (member(X,E) -> (exists Y (member(Y,A) & member(X,Y))))) & (all X (member(X,A) -> subset(X,E))))) # label(partition) # label(axiom) # label(non_clause). [assumption]. 0.37/1.05 17 -(all E all R all X (equivalence(R,E) & subset(X,E) -> equivalence(R,X))) # label(thIII01) # label(negated_conjecture) # label(non_clause). [assumption]. 0.37/1.05 0.37/1.05 ============================== end of process non-clausal formulas === 0.37/1.05 0.37/1.05 ============================== PROCESS INITIAL CLAUSES =============== 0.37/1.05 0.37/1.05 ============================== PREDICATE ELIMINATION ================= 0.37/1.05 18 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom). [clausify(9)]. 0.37/1.05 19 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom). [clausify(9)]. 0.37/1.05 20 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom). [clausify(9)]. 0.37/1.05 21 -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | -pre_order(E,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 22 member(f4(A,B),B) | member(f7(A,B),B) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 23 member(f4(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 24 member(f6(A,B),B) | member(f7(A,B),B) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 25 member(f6(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 26 member(f5(A,B),B) | member(f7(A,B),B) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 27 member(f5(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 28 apply(A,f5(A,B),f6(A,B)) | member(f7(A,B),B) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 29 apply(A,f5(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 30 apply(A,f4(A,B),f5(A,B)) | member(f7(A,B),B) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 31 apply(A,f4(A,B),f5(A,B)) | -apply(A,f7(A,B),f7(A,B)) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 32 -apply(A,f4(A,B),f6(A,B)) | member(f7(A,B),B) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 33 -apply(A,f4(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) | pre_order(A,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | member(f4(E,B),B) | member(f7(E,B),B). [resolve(21,g,22,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | member(f4(E,B),B) | -apply(E,f7(E,B),f7(E,B)). [resolve(21,g,23,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | member(f6(E,B),B) | member(f7(E,B),B). [resolve(21,g,24,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | member(f6(E,B),B) | -apply(E,f7(E,B),f7(E,B)). [resolve(21,g,25,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | member(f5(E,B),B) | member(f7(E,B),B). [resolve(21,g,26,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | member(f5(E,B),B) | -apply(E,f7(E,B),f7(E,B)). [resolve(21,g,27,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | apply(E,f5(E,B),f6(E,B)) | member(f7(E,B),B). [resolve(21,g,28,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | apply(E,f5(E,B),f6(E,B)) | -apply(E,f7(E,B),f7(E,B)). [resolve(21,g,29,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | apply(E,f4(E,B),f5(E,B)) | member(f7(E,B),B). [resolve(21,g,30,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | apply(E,f4(E,B),f5(E,B)) | -apply(E,f7(E,B),f7(E,B)). [resolve(21,g,31,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | -apply(E,f4(E,B),f6(E,B)) | member(f7(E,B),B). [resolve(21,g,32,c)]. 0.37/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,D,C) | -apply(E,A,D) | apply(E,A,C) | -apply(E,f4(E,B),f6(E,B)) | -apply(E,f7(E,B),f7(E,B)). [resolve(21,g,33,c)]. 0.37/1.05 34 -member(A,B) | apply(C,A,A) | -pre_order(C,B) # label(pre_order) # label(axiom). [clausify(13)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f4(C,B),B) | member(f7(C,B),B). [resolve(34,c,22,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f4(C,B),B) | -apply(C,f7(C,B),f7(C,B)). [resolve(34,c,23,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f6(C,B),B) | member(f7(C,B),B). [resolve(34,c,24,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f6(C,B),B) | -apply(C,f7(C,B),f7(C,B)). [resolve(34,c,25,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f5(C,B),B) | member(f7(C,B),B). [resolve(34,c,26,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f5(C,B),B) | -apply(C,f7(C,B),f7(C,B)). [resolve(34,c,27,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | apply(C,f5(C,B),f6(C,B)) | member(f7(C,B),B). [resolve(34,c,28,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | apply(C,f5(C,B),f6(C,B)) | -apply(C,f7(C,B),f7(C,B)). [resolve(34,c,29,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | apply(C,f4(C,B),f5(C,B)) | member(f7(C,B),B). [resolve(34,c,30,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | apply(C,f4(C,B),f5(C,B)) | -apply(C,f7(C,B),f7(C,B)). [resolve(34,c,31,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f4(C,B),f6(C,B)) | member(f7(C,B),B). [resolve(34,c,32,c)]. 0.37/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f4(C,B),f6(C,B)) | -apply(C,f7(C,B),f7(C,B)). [resolve(34,c,33,c)]. 0.37/1.05 35 -member(A,B) | -member(A,C) | -disjoint(C,B) # label(disjoint) # label(axiom). [clausify(14)]. 0.37/1.05 36 member(f8(A,B),B) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(14)]. 0.37/1.05 37 member(f8(A,B),A) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(14)]. 0.37/1.05 Derived: -member(A,B) | -member(A,C) | member(f8(C,B),B). [resolve(35,c,36,b)]. 0.37/1.05 Derived: -member(A,B) | -member(A,C) | member(f8(C,B),C). [resolve(35,c,37,b)]. 0.37/1.05 38 partition(A,B) | member(f16(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.05 39 -partition(A,B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C # label(partition) # label(axiom). [clausify(16)]. 0.37/1.05 40 -partition(A,B) | -member(C,B) | member(f15(A,B,C),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.05 41 -partition(A,B) | -member(C,B) | member(C,f15(A,B,C)) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.05 42 -partition(A,B) | -member(C,A) | subset(C,B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.05 Derived: member(f16(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(38,a,39,a)]. 0.37/1.05 Derived: member(f16(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(38,a,40,a)]. 0.37/1.05 Derived: member(f16(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(38,a,41,a)]. 0.37/1.05 Derived: member(f16(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(38,a,42,a)]. 0.37/1.05 43 partition(A,B) | member(f16(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.05 Derived: member(f16(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(43,a,39,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(43,a,40,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(43,a,41,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(43,a,42,a)]. 0.37/1.06 44 partition(A,B) | member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(44,a,39,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(44,a,40,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(44,a,41,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(44,a,42,a)]. 0.37/1.06 45 partition(A,B) | member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(45,a,39,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(45,a,40,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(45,a,41,a)]. 0.37/1.06 Derived: member(f16(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(45,a,42,a)]. 0.37/1.06 46 partition(A,B) | member(f17(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(46,a,39,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(46,a,40,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(46,a,41,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(46,a,42,a)]. 0.37/1.06 47 partition(A,B) | member(f17(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(47,a,39,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(47,a,40,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(47,a,41,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(47,a,42,a)]. 0.37/1.06 48 partition(A,B) | member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(48,a,39,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(48,a,40,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(48,a,41,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(48,a,42,a)]. 0.37/1.06 49 partition(A,B) | member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(49,a,39,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(49,a,40,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(49,a,41,a)]. 0.37/1.06 Derived: member(f17(A,B),A) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(49,a,42,a)]. 0.37/1.06 50 partition(A,B) | member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(50,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(50,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(50,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(50,a,42,a)]. 0.37/1.06 51 partition(A,B) | member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(51,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(51,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(51,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(51,a,42,a)]. 0.37/1.06 52 partition(A,B) | member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(52,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(52,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(52,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(52,a,42,a)]. 0.37/1.06 53 partition(A,B) | member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(53,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(53,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(53,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f17(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(53,a,42,a)]. 0.37/1.06 54 partition(A,B) | member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(54,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(54,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(54,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(54,a,42,a)]. 0.37/1.06 55 partition(A,B) | member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(55,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(55,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(55,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(55,a,42,a)]. 0.37/1.06 56 partition(A,B) | member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(56,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(56,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(56,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(56,a,42,a)]. 0.37/1.06 57 partition(A,B) | member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(57,a,39,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(57,a,40,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(57,a,41,a)]. 0.37/1.06 Derived: member(f18(A,B),f16(A,B)) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(57,a,42,a)]. 0.37/1.06 58 partition(A,B) | f17(A,B) != f16(A,B) | member(f19(A,B),B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(58,a,39,a)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(58,a,40,a)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(58,a,41,a)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(58,a,42,a)]. 0.37/1.06 59 partition(A,B) | f17(A,B) != f16(A,B) | member(f19(A,B),B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | D = C. [resolve(59,a,39,a)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(59,a,40,a)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(59,a,41,a)]. 0.37/1.06 Derived: f17(A,B) != f16(A,B) | member(f19(A,B),B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(59,a,42,a)]. 3.38/3.67 60 partition(A,B) | f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(60,a,39,a)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(60,a,40,a)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(60,a,41,a)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(60,a,42,a)]. 3.38/3.67 61 partition(A,B) | f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | E = D. [resolve(61,a,39,a)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(61,a,40,a)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(61,a,41,a)]. 3.38/3.67 Derived: f17(A,B) != f16(A,B) | -member(C,A) | -member(f19(A,B),C) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(61,a,42,a)]. 3.38/3.67 3.38/3.67 ============================== end predicate elimination ============= 3.38/3.67 3.38/3.67 Auto_denials: (non-Horn, no changes). 3.38/3.67 3.38/3.67 Term ordering decisions: 3.38/3.67 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. intersection=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f16=1. f17=1. f18=1. f19=1. f20=1. product=1. sum=1. power_set=1. singleton=1. equivalence_class=1. f15=1. 3.38/3.67 3.38/3.67 ============================== end of process initial clauses ======== 3.38/3.67 3.38/3.67 ============================== CLAUSES FOR SEARCH ==================== 3.38/3.67 3.38/3.67 ============================== end of clauses for search ============= 3.38/3.67 3.38/3.67 ============================== SEARCH ================================ 3.38/3.67 3.38/3.67 % Starting search at 0.09 seconds. 3.38/3.67 3.38/3.67 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.35 sec). 3.38/3.67 3.38/3.67 Low Water (keep): wt=53.000, iters=3733 3.38/3.67 3.38/3.67 Low Water (keep): wt=51.000, iters=3683 3.38/3.67 3.38/3.67 Low Water (keep): wt=47.000, iters=3425 3.38/3.67 3.38/3.67 Low Water (keep): wt=45.000, iters=3439 3.38/3.67 3.38/3.67 Low Water (keep): wt=44.000, iters=3505 3.38/3.67 3.38/3.67 Low Water (keep): wt=42.000, iters=3436 3.38/3.67 3.38/3.67 Low Water (keep): wt=41.000, iters=3388 3.38/3.67 3.38/3.67 Low Water (keep): wt=39.000, iters=3928 3.38/3.67 3.38/3.67 Low Water (keep): wt=38.000, iters=3710 3.38/3.67 3.38/3.67 Low Water (keep): wt=37.000, iters=3580 3.38/3.67 3.38/3.67 Low Water (keep): wt=36.000, iters=3402 3.38/3.67 3.38/3.67 Low Water (keep): wt=34.000, iters=5481 3.38/3.67 3.38/3.67 Low Water (keep): wt=32.000, iters=4189 3.38/3.67 3.38/3.67 Low Water (keep): wt=31.000, iters=3881 3.38/3.67 3.38/3.67 Low Water (keep): wt=30.000, iters=3333 3.38/3.67 3.38/3.67 Low Water (displace): id=5111, wt=77.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5141, wt=75.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5138, wt=73.000 3.38/3.67 3.38/3.67 Low Water (displace): id=4895, wt=72.000 3.38/3.67 3.38/3.67 Low Water (displace): id=4903, wt=70.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5117, wt=68.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5136, wt=66.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5180, wt=65.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5297, wt=63.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5188, wt=62.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5299, wt=61.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5187, wt=59.000 3.38/3.67 3.38/3.67 Low Water (displace): id=5228, wt=57.000 3.38/3.67 3.38/3.67 Low Water (displace): id=10845, wt=31.000 3.38/3.67 3.38/3.67 Low Water (displace): id=10846, wt=28.000 3.38/3.67 3.38/3.67 Low Water (displace): id=10852, wt=19.000 3.38/3.67 3.38/3.67 Low Water (displace): id=11027, wt=18.000 3.38/3.67 3.38/3.67 Low Water (displace): id=11028, wt=15.000 3.38/3.67 3.38/3.67 Low Water (displace): id=11140, wt=14.000 3.38/3.67 3.38/3.67 Low Water (displace): id=11210, wt=13.000 3.38/3.67 3.38/3.67 Low Water (displace): id=11324, wt=12.000 3.38/3.67 3.38/3.67 Low Water (keep): wt=29.000, iters=4402 3.38/3.67 3.38/3.67 Low WaterAlarm clock 119.60/120.08 Prover9 interrupted 119.60/120.08 EOF