0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.11/0.32 % Computer : n011.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % DateTime : Tue Jul 13 13:47:40 EDT 2021 0.11/0.32 % CPUTime : 0.90/1.46 ============================== Prover9 =============================== 0.90/1.46 Prover9 (32) version 2009-11A, November 2009. 0.90/1.46 Process 30197 was started by sandbox2 on n011.cluster.edu, 0.90/1.46 Tue Jul 13 13:47:41 2021 0.90/1.46 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_30044_n011.cluster.edu". 0.90/1.46 ============================== end of head =========================== 0.90/1.46 0.90/1.46 ============================== INPUT ================================= 0.90/1.46 0.90/1.46 % Reading from file /tmp/Prover9_30044_n011.cluster.edu 0.90/1.46 0.90/1.46 set(prolog_style_variables). 0.90/1.46 set(auto2). 0.90/1.46 % set(auto2) -> set(auto). 0.90/1.46 % set(auto) -> set(auto_inference). 0.90/1.46 % set(auto) -> set(auto_setup). 0.90/1.46 % set(auto_setup) -> set(predicate_elim). 0.90/1.46 % set(auto_setup) -> assign(eq_defs, unfold). 0.90/1.46 % set(auto) -> set(auto_limits). 0.90/1.46 % set(auto_limits) -> assign(max_weight, "100.000"). 0.90/1.46 % set(auto_limits) -> assign(sos_limit, 20000). 0.90/1.46 % set(auto) -> set(auto_denials). 0.90/1.46 % set(auto) -> set(auto_process). 0.90/1.46 % set(auto2) -> assign(new_constants, 1). 0.90/1.46 % set(auto2) -> assign(fold_denial_max, 3). 0.90/1.46 % set(auto2) -> assign(max_weight, "200.000"). 0.90/1.46 % set(auto2) -> assign(max_hours, 1). 0.90/1.46 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.90/1.46 % set(auto2) -> assign(max_seconds, 0). 0.90/1.46 % set(auto2) -> assign(max_minutes, 5). 0.90/1.46 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.90/1.46 % set(auto2) -> set(sort_initial_sos). 0.90/1.46 % set(auto2) -> assign(sos_limit, -1). 0.90/1.46 % set(auto2) -> assign(lrs_ticks, 3000). 0.90/1.46 % set(auto2) -> assign(max_megs, 400). 0.90/1.46 % set(auto2) -> assign(stats, some). 0.90/1.46 % set(auto2) -> clear(echo_input). 0.90/1.46 % set(auto2) -> set(quiet). 0.90/1.46 % set(auto2) -> clear(print_initial_clauses). 0.90/1.46 % set(auto2) -> clear(print_given). 0.90/1.46 assign(lrs_ticks,-1). 0.90/1.46 assign(sos_limit,10000). 0.90/1.46 assign(order,kbo). 0.90/1.46 set(lex_order_vars). 0.90/1.46 clear(print_given). 0.90/1.46 0.90/1.46 % formulas(sos). % not echoed (3 formulas) 0.90/1.46 0.90/1.46 ============================== end of input ========================== 0.90/1.46 0.90/1.46 % From the command line: assign(max_seconds, 1200). 0.90/1.46 0.90/1.46 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.90/1.46 0.90/1.46 % Formulas that are not ordinary clauses: 0.90/1.46 1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 0.90/1.46 2 (all X all Y all Z (r1(Y,Z) & r1(X,Y) -> r1(X,Z))) # label(transitivity) # label(axiom) # label(non_clause). [assumption]. 0.90/1.46 3 --(exists X -(-((all Y ((-(all X (-(-p121(X) & p120(X) & p21(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p121(X) & p120(X) & -p21(X)))) | -(-p120(Y) & p119(Y))) & (-(all X (-(p118(X) & -p119(X) & p19(X)) | -r1(Y,X))) & -(all X (-(-p19(X) & -p119(X) & p118(X)) | -r1(Y,X))) | -(p117(Y) & -p118(Y))) & (-(all X (-(-p118(X) & p117(X) & -p18(X)) | -r1(Y,X))) & -(all X (-(-p118(X) & p117(X) & p18(X)) | -r1(Y,X))) | -(-p117(Y) & p116(Y))) & (-(-p114(Y) & p113(Y)) | -(all X (-r1(Y,X) | -(-p15(X) & -p115(X) & p114(X)))) & -(all X (-(p15(X) & -p115(X) & p114(X)) | -r1(Y,X)))) & (-(all X (-(-p113(X) & p112(X) & p13(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p13(X) & p112(X) & -p113(X)))) | -(p111(Y) & -p112(Y))) & (-(-p108(Y) & p107(Y)) | -(all X (-r1(Y,X) | -(p108(X) & -p109(X) & -p9(X)))) & -(all X (-(p9(X) & p108(X) & -p109(X)) | -r1(Y,X)))) & (-(p103(Y) & -p104(Y)) | -(all X (-(p5(X) & -p105(X) & p104(X)) | -r1(Y,X))) & -(all X (-(p104(X) & -p105(X) & -p5(X)) | -r1(Y,X)))) & (-(p101(Y) & -p102(Y)) | -(all X (-r1(Y,X) | -(-p103(X) & p102(X) & p3(X)))) & -(all X (-r1(Y,X) | -(-p103(X) & p102(X) & -p3(X))))) & (-p117(Y) | ((all X (p18(X) | -p117(X) | -r1(Y,X))) | -p18(Y)) & ((all X (-p18(X) | -p117(X) | -r1(Y,X))) | p18(Y))) & (-p114(Y) | (-p15(Y) | (all X (-p114(X) | p15(X) | -r1(Y,X)))) & ((all X (-r1(Y,X) | -p15(X) | -p114(X))) | p15(Y))) & ((-p14(Y) | (all X (-r1(Y,X) | p14(X) | -p113(X)))) & (p14(Y) | (all X (-p14(X) | -p113(X) | -r1(Y,X)))) | -p113(Y)) & (-p109(Y) | ((all X (-p10(X) | -p109(X) | -r1(Y,X))) | p10(Y)) & ((all X (-r1(Y,X) | p10(X) | -p109(X))) | -p10(Y))) & (-p108(Y) | (p9(Y) | (all X (-r1(Y,X) | -p9(X) | -p108(X)))) & ((all X (-r1(Y,X) | -p108(X) | p9(X))) | -p9(Y))) & ((-p7(Y) | (all X (-r1(Y,X) | -p106(X) | p7(X)))) & (p7(Y) | (all X (-r1(Y,X) | -p106(X) | -p7(X)))) | -p106(Y)) & (-p103(Y) | ((all X (-p103(X) | -p4(X) | -r1(Y,X))) | p4(Y)) & (-p4(Y) | (all X (-r1(Y,X) | p4(X) | -p103(X))))) & (((all X (-r1(Y,X) | -p102(X) | -p3(X))) | p3(Y)) & (-p3(Y) | (all X (p3(X) | -p102(X) | -r1(Y,X)))) | -p102(Y)) & (((all X (-p101(X) | -p2(X) | -r1(Y,X))) | p2(Y)) & (-p2(Y) | (all X (-p101(X) | p2(X) | -r1(Y,X)))) | -p101(Y)) & (-p121(Y) | p120(Y)) & (-p120(Y) | p119(Y)) & (-p117(Y) | p116(Y)) & (p115(Y) | -p116(Y)) & (p109(Y) | -p110(Y)) & (p108(Y) | -p109(Y)) & (-p106(Y) | p105(Y)) & (-p101(Y) | p100(Y)) & (-p102(Y) | p101(Y)) & (-p103(Y) | p102(Y)) & (p103(Y) | -p104(Y)) & (p104(Y) | -p105(Y)) & (p106(Y) | -p107(Y)) & (-p108(Y) | p107(Y)) & (p110(Y) | -p111(Y)) & (p111(Y) | -p112(Y)) & (p112(Y) | -p113(Y)) & (p113(Y) | -p114(Y)) & (p114(Y) | -p115(Y)) & (-p118(Y) | p117(Y)) & (p118(Y) | -p119(Y)) & (((all X (-r1(Y,X) | p1(X) | -p100(X))) | -p1(Y)) & ((all X (-r1(Y,X) | -p100(X) | -p1(X))) | p1(Y)) | -p100(Y)) & (-p104(Y) | ((all X (-r1(Y,X) | p5(X) | -p104(X))) | -p5(Y)) & ((all X (-r1(Y,X) | -p5(X) | -p104(X))) | p5(Y))) & (((all X (-r1(Y,X) | -p105(X) | p6(X))) | -p6(Y)) & ((all X (-r1(Y,X) | -p105(X) | -p6(X))) | p6(Y)) | -p105(Y)) & (((all X (-r1(Y,X) | -p107(X) | p8(X))) | -p8(Y)) & ((all X (-p8(X) | -p107(X) | -r1(Y,X))) | p8(Y)) | -p107(Y)) & ((p11(Y) | (all X (-r1(Y,X) | -p11(X) | -p110(X)))) & ((all X (-r1(Y,X) | -p110(X) | p11(X))) | -p11(Y)) | -p110(Y)) & (-p111(Y) | ((all X (-r1(Y,X) | -p111(X) | -p12(X))) | p12(Y)) & (-p12(Y) | (all X (-p111(X) | p12(X) | -r1(Y,X))))) & (-p112(Y) | ((all X (-r1(Y,X) | -p112(X) | -p13(X))) | p13(Y)) & ((all X (p13(X) | -p112(X) | -r1(Y,X))) | -p13(Y))) & (-p115(Y) | ((all X (-r1(Y,X) | -p115(X) | p16(X))) | -p16(Y)) & ((all X (-p16(X) | -p115(X) | -r1(Y,X))) | p16(Y))) & ((p17(Y) | (all X (-r1(Y,X) | -p17(X) | -p116(X)))) & ((all X (p17(X) | -p116(X) | -r1(Y,X))) | -p17(Y)) | -p116(Y)) & (((all X (p19(X) | -p118(X) | -r1(Y,X))) | -p19(Y)) & (p19(Y) | (all X (-r1(Y,X) | -p118(X) | -p19(X)))) | -p118(Y)) & (-p119(Y) | (p20(Y) | (all X (-p119(X) | -p20(X) | -r1(Y,X)))) & (-p20(Y) | (all X (-p119(X) | p20(X) | -r1(Y,X))))) & ((-p21(Y) | (all X (-r1(Y,X) | -p120(X) | p21(X)))) & ((all X (-p21(X) | -p120(X) | -r1(Y,X))) | p21(Y)) | -p120(Y)) & (-(-p101(Y) & p100(Y)) | -(all X (-(p101(X) & -p102(X) & -p2(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(p2(X) & p101(X) & -p102(X))))) & (-(all X (-r1(Y,X) | -(p4(X) & -p104(X) & p103(X)))) & -(all X (-r1(Y,X) | -(-p4(X) & -p104(X) & p103(X)))) | -(-p103(Y) & p102(Y))) & (-(all X (-r1(Y,X) | -(-p6(X) & -p106(X) & p105(X)))) & -(all X (-r1(Y,X) | -(p105(X) & -p106(X) & p6(X)))) | -(-p105(Y) & p104(Y))) & (-(all X (-(p7(X) & p106(X) & -p107(X)) | -r1(Y,X))) & -(all X (-(-p7(X) & -p107(X) & p106(X)) | -r1(Y,X))) | -(-p106(Y) & p105(Y))) & (-(-p107(Y) & p106(Y)) | -(all X (-(p8(X) & p107(X) & -p108(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p8(X) & p107(X) & -p108(X))))) & (-(-p109(Y) & p108(Y)) | -(all X (-(-p10(X) & -p110(X) & p109(X)) | -r1(Y,X))) & -(all X (-(-p110(X) & p109(X) & p10(X)) | -r1(Y,X)))) & (-(p109(Y) & -p110(Y)) | -(all X (-(p11(X) & -p111(X) & p110(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(p110(X) & -p111(X) & -p11(X))))) & (-(p110(Y) & -p111(Y)) | -(all X (-(-p12(X) & p111(X) & -p112(X)) | -r1(Y,X))) & -(all X (-(p12(X) & -p112(X) & p111(X)) | -r1(Y,X)))) & (-(all X (-(p113(X) & -p114(X) & -p14(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(p14(X) & p113(X) & -p114(X)))) | -(-p113(Y) & p112(Y))) & (-(-p115(Y) & p114(Y)) | -(all X (-(-p116(X) & p115(X) & p16(X)) | -r1(Y,X))) & -(all X (-(p115(X) & -p116(X) & -p16(X)) | -r1(Y,X)))) & (-(-p116(Y) & p115(Y)) | -(all X (-(p116(X) & -p117(X) & -p17(X)) | -r1(Y,X))) & -(all X (-(p116(X) & -p117(X) & p17(X)) | -r1(Y,X)))) & (-(all X (-(p20(X) & -p120(X) & p119(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p20(X) & -p120(X) & p119(X)))) | -(-p119(Y) & p118(Y))) | -r1(X,Y))) & p100(X) & -p101(X)) | -(all Y (p8(Y) | -r1(X,Y))))) # label(main) # label(negated_conjecture) # label(non_clause). [assumption]. 5.70/6.20 5.70/6.20 ============================== end of process non-clausal formulas === 5.70/6.20 5.70/6.20 ============================== PROCESS INITIAL CLAUSES =============== 5.70/6.20 5.70/6.20 ============================== PREDICATE ELIMINATION ================= 5.70/6.20 5.70/6.20 ============================== end predicate elimination ============= 5.70/6.20 5.70/6.20 Auto_denials: (non-Horn, no changes). 5.70/6.20 5.70/6.20 Term ordering decisions: 5.70/6.20 Function symbol KB weights: c1=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. f15=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f25=1. f26=1. f27=1. f28=1. f29=1. f30=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. 5.70/6.20 5.70/6.20 ============================== end of process initial clauses ======== 5.70/6.20 5.70/6.20 ============================== CLAUSES FOR SEARCH ==================== 5.70/6.20 5.70/6.20 ============================== end of clauses for search ============= 5.70/6.20 5.70/6.20 ============================== SEARCH ================================ 5.70/6.20 5.70/6.20 % Starting search at 0.06 seconds. 5.70/6.20 5.70/6.20 ============================== PROOF ================================= 5.70/6.20 % SZS status Theorem 5.70/6.20 % SZS output start Refutation 5.70/6.20 5.70/6.20 % Proof 1 at 4.68 (+ 0.08) seconds. 5.70/6.20 % Length of proof is 61. 5.70/6.20 % Level of proof is 15. 5.70/6.20 % Maximum clause weight is 16.000. 5.70/6.20 % Given clauses 6333. 5.70/6.20 5.70/6.20 1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 5.70/6.20 2 (all X all Y all Z (r1(Y,Z) & r1(X,Y) -> r1(X,Z))) # label(transitivity) # label(axiom) # label(non_clause). [assumption]. 5.70/6.20 3 --(exists X -(-((all Y ((-(all X (-(-p121(X) & p120(X) & p21(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p121(X) & p120(X) & -p21(X)))) | -(-p120(Y) & p119(Y))) & (-(all X (-(p118(X) & -p119(X) & p19(X)) | -r1(Y,X))) & -(all X (-(-p19(X) & -p119(X) & p118(X)) | -r1(Y,X))) | -(p117(Y) & -p118(Y))) & (-(all X (-(-p118(X) & p117(X) & -p18(X)) | -r1(Y,X))) & -(all X (-(-p118(X) & p117(X) & p18(X)) | -r1(Y,X))) | -(-p117(Y) & p116(Y))) & (-(-p114(Y) & p113(Y)) | -(all X (-r1(Y,X) | -(-p15(X) & -p115(X) & p114(X)))) & -(all X (-(p15(X) & -p115(X) & p114(X)) | -r1(Y,X)))) & (-(all X (-(-p113(X) & p112(X) & p13(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p13(X) & p112(X) & -p113(X)))) | -(p111(Y) & -p112(Y))) & (-(-p108(Y) & p107(Y)) | -(all X (-r1(Y,X) | -(p108(X) & -p109(X) & -p9(X)))) & -(all X (-(p9(X) & p108(X) & -p109(X)) | -r1(Y,X)))) & (-(p103(Y) & -p104(Y)) | -(all X (-(p5(X) & -p105(X) & p104(X)) | -r1(Y,X))) & -(all X (-(p104(X) & -p105(X) & -p5(X)) | -r1(Y,X)))) & (-(p101(Y) & -p102(Y)) | -(all X (-r1(Y,X) | -(-p103(X) & p102(X) & p3(X)))) & -(all X (-r1(Y,X) | -(-p103(X) & p102(X) & -p3(X))))) & (-p117(Y) | ((all X (p18(X) | -p117(X) | -r1(Y,X))) | -p18(Y)) & ((all X (-p18(X) | -p117(X) | -r1(Y,X))) | p18(Y))) & (-p114(Y) | (-p15(Y) | (all X (-p114(X) | p15(X) | -r1(Y,X)))) & ((all X (-r1(Y,X) | -p15(X) | -p114(X))) | p15(Y))) & ((-p14(Y) | (all X (-r1(Y,X) | p14(X) | -p113(X)))) & (p14(Y) | (all X (-p14(X) | -p113(X) | -r1(Y,X)))) | -p113(Y)) & (-p109(Y) | ((all X (-p10(X) | -p109(X) | -r1(Y,X))) | p10(Y)) & ((all X (-r1(Y,X) | p10(X) | -p109(X))) | -p10(Y))) & (-p108(Y) | (p9(Y) | (all X (-r1(Y,X) | -p9(X) | -p108(X)))) & ((all X (-r1(Y,X) | -p108(X) | p9(X))) | -p9(Y))) & ((-p7(Y) | (all X (-r1(Y,X) | -p106(X) | p7(X)))) & (p7(Y) | (all X (-r1(Y,X) | -p106(X) | -p7(X)))) | -p106(Y)) & (-p103(Y) | ((all X (-p103(X) | -p4(X) | -r1(Y,X))) | p4(Y)) & (-p4(Y) | (all X (-r1(Y,X) | p4(X) | -p103(X))))) & (((all X (-r1(Y,X) | -p102(X) | -p3(X))) | p3(Y)) & (-p3(Y) | (all X (p3(X) | -p102(X) | -r1(Y,X)))) | -p102(Y)) & (((all X (-p101(X) | -p2(X) | -r1(Y,X))) | p2(Y)) & (-p2(Y) | (all X (-p101(X) | p2(X) | -r1(Y,X)))) | -p101(Y)) & (-p121(Y) | p120(Y)) & (-p120(Y) | p119(Y)) & (-p117(Y) | p116(Y)) & (p115(Y) | -p116(Y)) & (p109(Y) | -p110(Y)) & (p108(Y) | -p109(Y)) & (-p106(Y) | p105(Y)) & (-p101(Y) | p100(Y)) & (-p102(Y) | p101(Y)) & (-p103(Y) | p102(Y)) & (p103(Y) | -p104(Y)) & (p104(Y) | -p105(Y)) & (p106(Y) | -p107(Y)) & (-p108(Y) | p107(Y)) & (p110(Y) | -p111(Y)) & (p111(Y) | -p112(Y)) & (p112(Y) | -p113(Y)) & (p113(Y) | -p114(Y)) & (p114(Y) | -p115(Y)) & (-p118(Y) | p117(Y)) & (p118(Y) | -p119(Y)) & (((all X (-r1(Y,X) | p1(X) | -p100(X))) | -p1(Y)) & ((all X (-r1(Y,X) | -p100(X) | -p1(X))) | p1(Y)) | -p100(Y)) & (-p104(Y) | ((all X (-r1(Y,X) | p5(X) | -p104(X))) | -p5(Y)) & ((all X (-r1(Y,X) | -p5(X) | -p104(X))) | p5(Y))) & (((all X (-r1(Y,X) | -p105(X) | p6(X))) | -p6(Y)) & ((all X (-r1(Y,X) | -p105(X) | -p6(X))) | p6(Y)) | -p105(Y)) & (((all X (-r1(Y,X) | -p107(X) | p8(X))) | -p8(Y)) & ((all X (-p8(X) | -p107(X) | -r1(Y,X))) | p8(Y)) | -p107(Y)) & ((p11(Y) | (all X (-r1(Y,X) | -p11(X) | -p110(X)))) & ((all X (-r1(Y,X) | -p110(X) | p11(X))) | -p11(Y)) | -p110(Y)) & (-p111(Y) | ((all X (-r1(Y,X) | -p111(X) | -p12(X))) | p12(Y)) & (-p12(Y) | (all X (-p111(X) | p12(X) | -r1(Y,X))))) & (-p112(Y) | ((all X (-r1(Y,X) | -p112(X) | -p13(X))) | p13(Y)) & ((all X (p13(X) | -p112(X) | -r1(Y,X))) | -p13(Y))) & (-p115(Y) | ((all X (-r1(Y,X) | -p115(X) | p16(X))) | -p16(Y)) & ((all X (-p16(X) | -p115(X) | -r1(Y,X))) | p16(Y))) & ((p17(Y) | (all X (-r1(Y,X) | -p17(X) | -p116(X)))) & ((all X (p17(X) | -p116(X) | -r1(Y,X))) | -p17(Y)) | -p116(Y)) & (((all X (p19(X) | -p118(X) | -r1(Y,X))) | -p19(Y)) & (p19(Y) | (all X (-r1(Y,X) | -p118(X) | -p19(X)))) | -p118(Y)) & (-p119(Y) | (p20(Y) | (all X (-p119(X) | -p20(X) | -r1(Y,X)))) & (-p20(Y) | (all X (-p119(X) | p20(X) | -r1(Y,X))))) & ((-p21(Y) | (all X (-r1(Y,X) | -p120(X) | p21(X)))) & ((all X (-p21(X) | -p120(X) | -r1(Y,X))) | p21(Y)) | -p120(Y)) & (-(-p101(Y) & p100(Y)) | -(all X (-(p101(X) & -p102(X) & -p2(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(p2(X) & p101(X) & -p102(X))))) & (-(all X (-r1(Y,X) | -(p4(X) & -p104(X) & p103(X)))) & -(all X (-r1(Y,X) | -(-p4(X) & -p104(X) & p103(X)))) | -(-p103(Y) & p102(Y))) & (-(all X (-r1(Y,X) | -(-p6(X) & -p106(X) & p105(X)))) & -(all X (-r1(Y,X) | -(p105(X) & -p106(X) & p6(X)))) | -(-p105(Y) & p104(Y))) & (-(all X (-(p7(X) & p106(X) & -p107(X)) | -r1(Y,X))) & -(all X (-(-p7(X) & -p107(X) & p106(X)) | -r1(Y,X))) | -(-p106(Y) & p105(Y))) & (-(-p107(Y) & p106(Y)) | -(all X (-(p8(X) & p107(X) & -p108(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p8(X) & p107(X) & -p108(X))))) & (-(-p109(Y) & p108(Y)) | -(all X (-(-p10(X) & -p110(X) & p109(X)) | -r1(Y,X))) & -(all X (-(-p110(X) & p109(X) & p10(X)) | -r1(Y,X)))) & (-(p109(Y) & -p110(Y)) | -(all X (-(p11(X) & -p111(X) & p110(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(p110(X) & -p111(X) & -p11(X))))) & (-(p110(Y) & -p111(Y)) | -(all X (-(-p12(X) & p111(X) & -p112(X)) | -r1(Y,X))) & -(all X (-(p12(X) & -p112(X) & p111(X)) | -r1(Y,X)))) & (-(all X (-(p113(X) & -p114(X) & -p14(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(p14(X) & p113(X) & -p114(X)))) | -(-p113(Y) & p112(Y))) & (-(-p115(Y) & p114(Y)) | -(all X (-(-p116(X) & p115(X) & p16(X)) | -r1(Y,X))) & -(all X (-(p115(X) & -p116(X) & -p16(X)) | -r1(Y,X)))) & (-(-p116(Y) & p115(Y)) | -(all X (-(p116(X) & -p117(X) & -p17(X)) | -r1(Y,X))) & -(all X (-(p116(X) & -p117(X) & p17(X)) | -r1(Y,X)))) & (-(all X (-(p20(X) & -p120(X) & p119(X)) | -r1(Y,X))) & -(all X (-r1(Y,X) | -(-p20(X) & -p120(X) & p119(X)))) | -(-p119(Y) & p118(Y))) | -r1(X,Y))) & p100(X) & -p101(X)) | -(all Y (p8(Y) | -r1(X,Y))))) # label(main) # label(negated_conjecture) # label(non_clause). [assumption]. 5.70/6.20 4 r1(A,A) # label(reflexivity) # label(axiom). [clausify(1)]. 5.70/6.20 5 -r1(A,B) | -r1(C,A) | r1(C,B) # label(transitivity) # label(axiom). [clausify(2)]. 5.70/6.20 56 -p103(A) | p104(A) | p104(f14(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.20 57 -p103(A) | p104(A) | -p105(f14(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.20 59 -p103(A) | p104(A) | r1(A,f14(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.20 60 -p101(A) | p102(A) | r1(A,f15(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.20 61 -p101(A) | p102(A) | -p103(f15(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.20 62 -p101(A) | p102(A) | p102(f15(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.20 130 p101(A) | -p100(A) | p101(f17(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 131 p101(A) | -p100(A) | -p102(f17(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 133 p101(A) | -p100(A) | r1(A,f17(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 138 r1(A,f19(A)) | p103(A) | -p102(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 140 -p104(f19(A)) | p103(A) | -p102(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 141 p103(f19(A)) | p103(A) | -p102(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 150 r1(A,f22(A)) | p105(A) | -p104(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 151 p105(f22(A)) | p105(A) | -p104(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 152 -p106(f22(A)) | p105(A) | -p104(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 159 -p107(f24(A)) | p106(A) | -p105(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 160 p106(f24(A)) | p106(A) | -p105(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 161 r1(A,f24(A)) | p106(A) | -p105(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 166 p107(A) | -p106(A) | r1(A,f26(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 167 p107(A) | -p106(A) | -p8(f26(A)) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 226 p100(c1) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 227 -p101(c1) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 228 p8(A) | -r1(c1,A) # label(main) # label(negated_conjecture). [clausify(3)]. 5.70/6.21 326 p101(f17(c1)). [resolve(130,d,4,a),unit_del(a,227),unit_del(b,226)]. 5.70/6.21 327 -p102(f17(c1)). [resolve(131,d,4,a),unit_del(a,227),unit_del(b,226)]. 5.70/6.21 329 r1(c1,f17(c1)). [resolve(133,d,4,a),unit_del(a,227),unit_del(b,226)]. 5.70/6.21 478 p102(f15(f17(c1))). [resolve(329,a,62,d),unit_del(a,326),unit_del(b,327)]. 5.70/6.21 479 -p103(f15(f17(c1))). [resolve(329,a,61,d),unit_del(a,326),unit_del(b,327)]. 5.70/6.21 480 r1(f17(c1),f15(f17(c1))). [resolve(329,a,60,d),unit_del(a,326),unit_del(b,327)]. 5.70/6.21 527 -r1(f17(c1),A) | r1(c1,A). [resolve(329,a,5,b)]. 5.70/6.21 785 r1(c1,f15(f17(c1))). [resolve(527,a,480,a)]. 5.70/6.21 874 p103(f19(f15(f17(c1)))). [resolve(785,a,141,d),unit_del(b,479),unit_del(c,478)]. 5.70/6.21 875 -p104(f19(f15(f17(c1)))). [resolve(785,a,140,d),unit_del(b,479),unit_del(c,478)]. 5.70/6.21 877 r1(f15(f17(c1)),f19(f15(f17(c1)))). [resolve(785,a,138,d),unit_del(b,479),unit_del(c,478)]. 5.70/6.21 989 -r1(f15(f17(c1)),A) | r1(c1,A). [resolve(785,a,5,b)]. 5.70/6.21 1713 r1(c1,f19(f15(f17(c1)))). [resolve(989,a,877,a)]. 5.70/6.21 1853 r1(f19(f15(f17(c1))),f14(f19(f15(f17(c1))))). [resolve(1713,a,59,d),unit_del(a,874),unit_del(b,875)]. 5.70/6.21 1855 -p105(f14(f19(f15(f17(c1))))). [resolve(1713,a,57,d),unit_del(a,874),unit_del(b,875)]. 5.70/6.21 1856 p104(f14(f19(f15(f17(c1))))). [resolve(1713,a,56,d),unit_del(a,874),unit_del(b,875)]. 5.70/6.21 1907 -r1(f19(f15(f17(c1))),A) | r1(c1,A). [resolve(1713,a,5,b)]. 5.70/6.21 3553 r1(c1,f14(f19(f15(f17(c1))))). [resolve(1853,a,1907,a)]. 5.70/6.21 3630 -p106(f22(f14(f19(f15(f17(c1)))))). [resolve(3553,a,152,d),unit_del(b,1855),unit_del(c,1856)]. 5.70/6.21 3631 p105(f22(f14(f19(f15(f17(c1)))))). [resolve(3553,a,151,d),unit_del(b,1855),unit_del(c,1856)]. 5.70/6.21 3632 r1(f14(f19(f15(f17(c1)))),f22(f14(f19(f15(f17(c1)))))). [resolve(3553,a,150,d),unit_del(b,1855),unit_del(c,1856)]. 5.70/6.21 3754 -r1(f14(f19(f15(f17(c1)))),A) | r1(c1,A). [resolve(3553,a,5,b)]. 5.70/6.21 7370 r1(c1,f22(f14(f19(f15(f17(c1)))))). [resolve(3754,a,3632,a)]. 5.70/6.21 7430 r1(f22(f14(f19(f15(f17(c1))))),f24(f22(f14(f19(f15(f17(c1))))))). [resolve(7370,a,161,d),unit_del(b,3630),unit_del(c,3631)]. 5.70/6.21 7431 p106(f24(f22(f14(f19(f15(f17(c1))))))). [resolve(7370,a,160,d),unit_del(b,3630),unit_del(c,3631)]. 5.70/6.21 7432 -p107(f24(f22(f14(f19(f15(f17(c1))))))). [resolve(7370,a,159,d),unit_del(b,3630),unit_del(c,3631)]. 5.70/6.21 7548 -r1(f22(f14(f19(f15(f17(c1))))),A) | r1(c1,A). [resolve(7370,a,5,b)]. 5.70/6.21 14627 r1(c1,f24(f22(f14(f19(f15(f17(c1))))))). [resolve(7430,a,7548,a)]. 5.70/6.21 14716 -p8(f26(f24(f22(f14(f19(f15(f17(c1)))))))). [resolve(14627,a,167,d),unit_del(a,7432),unit_del(b,7431)]. 5.70/6.21 14717 r1(f24(f22(f14(f19(f15(f17(c1)))))),f26(f24(f22(f14(f19(f15(f17(c1)))))))). [resolve(14627,a,166,d),unit_del(a,7432),unit_del(b,7431)]. 5.70/6.21 14849 -r1(f24(f22(f14(f19(f15(f17(c1)))))),A) | r1(c1,A). [resolve(14627,a,5,b)]. 5.70/6.21 30927 r1(c1,f26(f24(f22(f14(f19(f15(f17(c1)))))))). [resolve(14717,a,14849,a)]. 5.70/6.21 30939 $F. [resolve(30927,a,228,b),unit_del(a,14716)]. 5.70/6.21 5.70/6.21 % SZS output end Refutation 5.70/6.21 ============================== end of proof ========================== 5.70/6.21 5.70/6.21 ============================== STATISTICS ============================ 5.70/6.21 5.70/6.21 Given=6333. Generated=62166. Kept=30935. proofs=1. 5.70/6.21 Usable=6327. Sos=1365. Demods=0. Limbo=2, Disabled=23469. Hints=0. 5.70/6.21 Megabytes=28.28. 5.70/6.21 User_CPU=4.69, System_CPU=0.08, Wall_clock=5. 5.70/6.21 5.70/6.21 ============================== end of statistics ===================== 5.70/6.21 5.70/6.21 ============================== end of search ========================= 5.70/6.21 5.70/6.21 THEOREM PROVED 5.70/6.21 % SZS status Theorem 5.70/6.21 5.70/6.21 Exiting with 1 proof. 5.70/6.21 5.70/6.21 Process 30197 exit (max_proofs) Tue Jul 13 13:47:46 2021 5.70/6.21 Prover9 interrupted 5.70/6.21 EOF