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 0.12/0.33 % Computer : n021.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % DateTime : Tue Jul 13 11:36:10 EDT 2021 0.12/0.33 % CPUTime : 0.62/0.93 ============================== Prover9 =============================== 0.62/0.93 Prover9 (32) version 2009-11A, November 2009. 0.62/0.93 Process 17651 was started by sandbox on n021.cluster.edu, 0.62/0.93 Tue Jul 13 11:36:11 2021 0.62/0.93 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_17498_n021.cluster.edu". 0.62/0.93 ============================== end of head =========================== 0.62/0.93 0.62/0.93 ============================== INPUT ================================= 0.62/0.93 0.62/0.93 % Reading from file /tmp/Prover9_17498_n021.cluster.edu 0.62/0.93 0.62/0.93 set(prolog_style_variables). 0.62/0.93 set(auto2). 0.62/0.93 % set(auto2) -> set(auto). 0.62/0.93 % set(auto) -> set(auto_inference). 0.62/0.93 % set(auto) -> set(auto_setup). 0.62/0.93 % set(auto_setup) -> set(predicate_elim). 0.62/0.93 % set(auto_setup) -> assign(eq_defs, unfold). 0.62/0.93 % set(auto) -> set(auto_limits). 0.62/0.93 % set(auto_limits) -> assign(max_weight, "100.000"). 0.62/0.93 % set(auto_limits) -> assign(sos_limit, 20000). 0.62/0.93 % set(auto) -> set(auto_denials). 0.62/0.93 % set(auto) -> set(auto_process). 0.62/0.93 % set(auto2) -> assign(new_constants, 1). 0.62/0.93 % set(auto2) -> assign(fold_denial_max, 3). 0.62/0.93 % set(auto2) -> assign(max_weight, "200.000"). 0.62/0.93 % set(auto2) -> assign(max_hours, 1). 0.62/0.93 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.62/0.93 % set(auto2) -> assign(max_seconds, 0). 0.62/0.93 % set(auto2) -> assign(max_minutes, 5). 0.62/0.93 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.62/0.93 % set(auto2) -> set(sort_initial_sos). 0.62/0.93 % set(auto2) -> assign(sos_limit, -1). 0.62/0.93 % set(auto2) -> assign(lrs_ticks, 3000). 0.62/0.93 % set(auto2) -> assign(max_megs, 400). 0.62/0.93 % set(auto2) -> assign(stats, some). 0.62/0.93 % set(auto2) -> clear(echo_input). 0.62/0.93 % set(auto2) -> set(quiet). 0.62/0.93 % set(auto2) -> clear(print_initial_clauses). 0.62/0.93 % set(auto2) -> clear(print_given). 0.62/0.93 assign(lrs_ticks,-1). 0.62/0.93 assign(sos_limit,10000). 0.62/0.93 assign(order,kbo). 0.62/0.93 set(lex_order_vars). 0.62/0.93 clear(print_given). 0.62/0.93 0.62/0.93 % formulas(sos). % not echoed (19 formulas) 0.62/0.93 0.62/0.93 ============================== end of input ========================== 0.62/0.93 0.62/0.93 % From the command line: assign(max_seconds, 1200). 0.62/0.93 0.62/0.93 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.62/0.93 0.62/0.93 % Formulas that are not ordinary clauses: 0.62/0.93 1 (all X32 all X33 all X34 all X35 all X36 all X37 (-id(X33,X36) | r3(X35,X36,X37) & r3(X32,X33,X34) | -r3(X32,X33,X34) & -r3(X35,X36,X37) | -id(X34,X37) | -id(X32,X35))) # label(axiom_10) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 2 (all X2 all X9 exists Y2 ((exists Y3 ((exists Y14 (r4(X2,Y14,Y3) & r2(X9,Y14))) & id(Y3,Y2))) & (exists Y6 (r3(Y6,X2,Y2) & r4(X2,X9,Y6))))) # label(axiom_2a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 3 (all X20 id(X20,X20)) # label(axiom_5) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 4 (all X4 exists Y9 ((exists Y16 (r1(Y16) & r3(X4,Y16,Y9))) & id(Y9,X4))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 5 (all X11 exists Y21 all X12 (id(X12,Y21) & r2(X11,X12) | -r2(X11,X12) & -id(X12,Y21))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 6 (all X26 all X27 (-id(X26,X27) | -r1(X26) & -r1(X27) | r1(X26) & r1(X27))) # label(axiom_8) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 7 (all X16 all X17 exists Y23 all X18 (-id(X18,Y23) & -r4(X16,X17,X18) | id(X18,Y23) & r4(X16,X17,X18))) # label(axiom_4) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 8 (all X6 ((exists Y1 exists Y11 (r2(Y1,Y11) & id(X6,Y11))) | (exists Y19 (id(X6,Y19) & r1(Y19))))) # label(axiom_6a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 9 (all X23 all X24 all X25 (-id(X24,X25) | id(X23,X25) | -id(X23,X24))) # label(axiom_7) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 10 (all X7 all Y10 (-r2(X7,Y10) | (all Y20 (-id(Y20,Y10) | -r1(Y20))))) # label(axiom_7a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 11 (all X28 all X29 all X30 all X31 (-id(X29,X31) | r2(X28,X29) & r2(X30,X31) | -r2(X28,X29) & -r2(X30,X31) | -id(X28,X30))) # label(axiom_9) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 12 (all X13 all X14 exists Y22 all X15 (id(X15,Y22) & r3(X13,X14,X15) | -r3(X13,X14,X15) & -id(X15,Y22))) # label(axiom_3) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 13 (all X21 all X22 (id(X22,X21) | -id(X21,X22))) # label(axiom_6) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 14 (all X38 all X39 all X40 all X41 all X42 all X43 (-id(X38,X41) | -id(X40,X43) | -r4(X41,X42,X43) & -r4(X38,X39,X40) | r4(X38,X39,X40) & r4(X41,X42,X43) | -id(X39,X42))) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 15 (exists Y24 all X19 (id(X19,Y24) & r1(X19) | -r1(X19) & -id(X19,Y24))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 16 (all X5 exists Y8 ((exists Y17 (r1(Y17) & r4(X5,Y17,Y8))) & (exists Y18 (id(Y8,Y18) & r1(Y18))))) # label(axiom_5a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 17 (all X1 all X8 exists Y4 ((exists Y5 ((exists Y15 (r2(X8,Y15) & r3(X1,Y15,Y5))) & id(Y5,Y4))) & (exists Y7 (r2(Y7,Y4) & r3(X1,X8,Y7))))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 18 (all X3 all X10 (id(X3,X10) | (all Y12 (-r2(X10,Y12) | (all Y13 (-r2(X3,Y13) | -id(Y13,Y12))))))) # label(axiom_3a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 19 -(exists Y1 exists Y2 exists Y3 ((exists Y4 (id(Y3,Y4) & (exists Y5 ((exists Y6 ((exists Y7 (r1(Y7) & r2(Y7,Y6))) & r2(Y6,Y5))) & r2(Y5,Y4))))) & r3(Y1,Y2,Y3))) # label(xplusyidthree) # label(negated_conjecture) # label(non_clause). [assumption]. 0.62/0.93 0.62/0.93 ============================== end of process non-clausal formulas === 0.62/0.93 0.62/0.93 ============================== PROCESS INITIAL CLAUSES =============== 0.62/0.93 0.62/0.93 ============================== PREDICATE ELIMINATION ================= 0.62/0.93 0.62/0.93 ============================== end predicate elimination ============= 0.62/0.93 0.62/0.93 Auto_denials: (non-Horn, no changes). 0.62/0.93 0.62/0.93 Term ordering decisions: 0.62/0.93 Function symbol KB weights: c1=1. f1=1. f2=1. f3=1. f4=1. f8=1. f12=1. f16=1. f17=1. f18=1. f19=1. f5=1. f6=1. f7=1. f9=1. f10=1. f11=1. f13=1. f14=1. f15=1. 0.62/0.93 0.62/0.93 ============================== end of process initial clauses ======== 0.62/0.93 0.62/0.93 ============================== CLAUSES FOR SEARCH ==================== 0.62/0.93 0.62/0.93 ============================== end of clauses for search ============= 0.62/0.93 0.62/0.93 ============================== SEARCH ================================ 0.62/0.93 0.62/0.93 % Starting search at 0.01 seconds. 0.62/0.93 0.62/0.93 ============================== PROOF ================================= 0.62/0.93 % SZS status Theorem 0.62/0.93 % SZS output start Refutation 0.62/0.93 0.62/0.93 % Proof 1 at 0.01 (+ 0.00) seconds. 0.62/0.93 % Length of proof is 11. 0.62/0.93 % Level of proof is 3. 0.62/0.93 % Maximum clause weight is 18.000. 0.62/0.93 % Given clauses 24. 0.62/0.93 0.62/0.93 4 (all X4 exists Y9 ((exists Y16 (r1(Y16) & r3(X4,Y16,Y9))) & id(Y9,X4))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 16 (all X5 exists Y8 ((exists Y17 (r1(Y17) & r4(X5,Y17,Y8))) & (exists Y18 (id(Y8,Y18) & r1(Y18))))) # label(axiom_5a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 17 (all X1 all X8 exists Y4 ((exists Y5 ((exists Y15 (r2(X8,Y15) & r3(X1,Y15,Y5))) & id(Y5,Y4))) & (exists Y7 (r2(Y7,Y4) & r3(X1,X8,Y7))))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.62/0.93 19 -(exists Y1 exists Y2 exists Y3 ((exists Y4 (id(Y3,Y4) & (exists Y5 ((exists Y6 ((exists Y7 (r1(Y7) & r2(Y7,Y6))) & r2(Y6,Y5))) & r2(Y5,Y4))))) & r3(Y1,Y2,Y3))) # label(xplusyidthree) # label(negated_conjecture) # label(non_clause). [assumption]. 0.62/0.93 23 r1(f15(A)) # label(axiom_5a) # label(axiom). [clausify(16)]. 0.62/0.93 24 id(f5(A),A) # label(axiom_4a) # label(axiom). [clausify(4)]. 0.62/0.93 27 r2(A,f18(B,A)) # label(axiom_1a) # label(axiom). [clausify(17)]. 0.62/0.93 29 r3(A,f6(A),f5(A)) # label(axiom_4a) # label(axiom). [clausify(4)]. 0.62/0.93 43 -id(A,B) | -r1(C) | -r2(C,D) | -r2(D,E) | -r2(E,B) | -r3(F,V6,A) # label(xplusyidthree) # label(negated_conjecture). [clausify(19)]. 0.62/0.93 116 -id(f5(A),f18(B,f18(C,f18(D,f15(E))))). [ur(43,b,23,a,c,27,a,d,27,a,e,27,a,f,29,a)]. 0.62/0.93 117 $F. [resolve(116,a,24,a)]. 0.62/0.93 0.62/0.93 % SZS output end Refutation 0.62/0.93 ============================== end of proof ========================== 0.62/0.93 0.62/0.93 ============================== STATISTICS ============================ 0.62/0.93 0.62/0.93 Given=24. Generated=109. Kept=97. proofs=1. 0.62/0.93 Usable=24. Sos=65. Demods=0. Limbo=7, Disabled=43. Hints=0. 0.62/0.93 Megabytes=0.16. 0.62/0.93 User_CPU=0.01, System_CPU=0.00, Wall_clock=0. 0.62/0.93 0.62/0.93 ============================== end of statistics ===================== 0.62/0.93 0.62/0.93 ============================== end of search ========================= 0.62/0.93 0.62/0.93 THEOREM PROVED 0.62/0.93 % SZS status Theorem 0.62/0.93 0.62/0.93 Exiting with 1 proof. 0.62/0.93 0.62/0.93 Process 17651 exit (max_proofs) Tue Jul 13 11:36:11 2021 0.62/0.93 Prover9 interrupted 0.62/0.93 EOF