0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.34 % Computer : n013.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 09:25:17 EDT 2023 0.14/0.34 % CPUTime : 0.99/1.24 ============================== Prover9 =============================== 0.99/1.24 Prover9 (32) version 2009-11A, November 2009. 0.99/1.24 Process 10156 was started by sandbox on n013.cluster.edu, 0.99/1.24 Mon Jul 3 09:25:18 2023 0.99/1.24 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_9990_n013.cluster.edu". 0.99/1.24 ============================== end of head =========================== 0.99/1.24 0.99/1.24 ============================== INPUT ================================= 0.99/1.24 0.99/1.24 % Reading from file /tmp/Prover9_9990_n013.cluster.edu 0.99/1.24 0.99/1.24 set(prolog_style_variables). 0.99/1.24 set(auto2). 0.99/1.24 % set(auto2) -> set(auto). 0.99/1.24 % set(auto) -> set(auto_inference). 0.99/1.24 % set(auto) -> set(auto_setup). 0.99/1.24 % set(auto_setup) -> set(predicate_elim). 0.99/1.24 % set(auto_setup) -> assign(eq_defs, unfold). 0.99/1.24 % set(auto) -> set(auto_limits). 0.99/1.24 % set(auto_limits) -> assign(max_weight, "100.000"). 0.99/1.24 % set(auto_limits) -> assign(sos_limit, 20000). 0.99/1.24 % set(auto) -> set(auto_denials). 0.99/1.24 % set(auto) -> set(auto_process). 0.99/1.24 % set(auto2) -> assign(new_constants, 1). 0.99/1.24 % set(auto2) -> assign(fold_denial_max, 3). 0.99/1.24 % set(auto2) -> assign(max_weight, "200.000"). 0.99/1.24 % set(auto2) -> assign(max_hours, 1). 0.99/1.24 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.99/1.24 % set(auto2) -> assign(max_seconds, 0). 0.99/1.24 % set(auto2) -> assign(max_minutes, 5). 0.99/1.24 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.99/1.24 % set(auto2) -> set(sort_initial_sos). 0.99/1.24 % set(auto2) -> assign(sos_limit, -1). 0.99/1.24 % set(auto2) -> assign(lrs_ticks, 3000). 0.99/1.24 % set(auto2) -> assign(max_megs, 400). 0.99/1.24 % set(auto2) -> assign(stats, some). 0.99/1.24 % set(auto2) -> clear(echo_input). 0.99/1.24 % set(auto2) -> set(quiet). 0.99/1.24 % set(auto2) -> clear(print_initial_clauses). 0.99/1.24 % set(auto2) -> clear(print_given). 0.99/1.24 assign(lrs_ticks,-1). 0.99/1.24 assign(sos_limit,10000). 0.99/1.24 assign(order,kbo). 0.99/1.24 set(lex_order_vars). 0.99/1.24 clear(print_given). 0.99/1.24 0.99/1.24 % formulas(sos). % not echoed (96 formulas) 0.99/1.24 0.99/1.24 ============================== end of input ========================== 0.99/1.24 0.99/1.24 % From the command line: assign(max_seconds, 1440). 0.99/1.24 0.99/1.24 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.99/1.24 0.99/1.24 % Formulas that are not ordinary clauses: 0.99/1.24 1 (all U (ssItem(U) -> totalorderedP(cons(U,nil)))) # label(ax65) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 2 (all U (ssList(U) -> (all V (ssList(V) -> (segmentP(U,V) & segmentP(V,U) -> V = U))))) # label(ax54) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 3 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (app(V,U) = app(V,W) -> U = W))))))) # label(ax80) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 4 (all U (ssList(U) -> (all V (ssList(V) -> (nil != U -> hd(U) = hd(app(U,V))))))) # label(ax85) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 5 (all U (ssList(U) -> (U != nil -> (exists V (ssList(V) & V = tl(U)))))) # label(ax76) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 6 (all U (ssList(U) -> (frontsegP(nil,U) <-> nil = U))) # label(ax46) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 7 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (all X (ssList(X) -> (segmentP(U,V) -> segmentP(app(app(W,U),X),V)))))))))) # label(ax56) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 8 (all U (ssList(U) -> (all V (ssList(V) -> (frontsegP(U,V) <-> (exists W (ssList(W) & U = app(V,W)))))))) # label(ax5) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 9 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssItem(W) -> (gt(V,W) & gt(U,V) -> gt(U,W)))))))) # label(ax95) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 10 (all U (ssItem(U) -> totalorderP(cons(U,nil)))) # label(ax61) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 11 (all U (ssList(U) -> U = app(U,nil))) # label(ax84) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 12 (all U (ssList(U) -> (all V (ssItem(V) -> cons(V,U) != U)))) # label(ax18) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 13 (all U (ssItem(U) -> (all V (ssItem(V) -> (leq(V,U) <-> geq(U,V)))))) # label(ax32) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 14 (all U (ssItem(U) -> (all V (ssItem(V) -> (leq(U,V) -> lt(U,V) | U = V))))) # label(ax92) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 15 (all U (ssList(U) -> ((all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (all Z (ssList(Z) -> (U = app(app(X,cons(V,Y)),cons(W,Z)) -> leq(W,V) | leq(V,W)))))))))))) <-> totalorderP(U)))) # label(ax9) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 16 (all U (ssList(U) -> (all V (ssList(V) -> (nil != U -> app(tl(U),V) = tl(app(U,V))))))) # label(ax86) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 17 (all U (ssItem(U) -> geq(U,U))) # label(ax89) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 18 (all U (ssList(U) -> ((all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (all Z (ssList(Z) -> (U = app(app(X,cons(V,Y)),cons(W,Z)) -> leq(V,W)))))))))))) <-> totalorderedP(U)))) # label(ax11) # label(axiom) # label(non_clause). [assumption]. 0.99/1.24 19 (all U (ssList(U) -> (all V (ssList(V) -> (frontsegP(V,U) & frontsegP(U,V) -> U = V))))) # label(ax41) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 20 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssItem(W) -> (all X (ssItem(X) -> (cons(X,V) = cons(W,U) -> V = U & W = X))))))))) # label(ax19) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 21 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (frontsegP(V,W) & frontsegP(U,V) -> frontsegP(U,W)))))))) # label(ax40) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 22 (all U (ssItem(U) -> (all V (ssItem(V) -> (neq(U,V) <-> U != V))))) # label(ax1) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 23 (all U (ssList(U) -> ((all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (all Z (ssList(Z) -> (app(app(X,cons(V,Y)),cons(W,Z)) = U -> lt(V,W)))))))))))) <-> strictorderedP(U)))) # label(ax12) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 24 (all U (ssItem(U) -> cyclefreeP(cons(U,nil)))) # label(ax59) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 25 (all U (ssList(U) -> segmentP(U,U))) # label(ax55) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 26 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssList(W) -> (memberP(cons(V,W),U) <-> memberP(W,U) | V = U))))))) # label(ax37) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 27 (all U (ssList(U) -> (all V (ssList(V) -> (rearsegP(U,V) & rearsegP(V,U) -> V = U))))) # label(ax48) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 28 (all U (ssItem(U) -> duplicatefreeP(cons(U,nil)))) # label(ax71) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 29 (all U (ssItem(U) -> (all V (ssItem(V) -> (lt(U,V) <-> V != U & leq(U,V)))))) # label(ax93) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 30 (all U (ssItem(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (memberP(app(V,W),U) <-> memberP(W,U) | memberP(V,U)))))))) # label(ax36) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 31 (all U (ssList(U) -> (singletonP(U) <-> (exists V (ssItem(V) & U = cons(V,nil)))))) # label(ax4) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 32 (all U (ssList(U) -> ((all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (all Z (ssList(Z) -> (U = app(app(X,cons(V,Y)),cons(W,Z)) -> W != V))))))))))) <-> duplicatefreeP(U)))) # label(ax13) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 33 (all U (ssList(U) -> rearsegP(U,nil))) # label(ax51) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 34 (all U (ssList(U) -> (all V (ssItem(V) -> cons(V,U) != nil)))) # label(ax21) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 35 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssItem(W) -> (geq(V,W) & geq(U,V) -> geq(U,W)))))))) # label(ax88) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 36 (all U (ssItem(U) -> -memberP(nil,U))) # label(ax38) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 37 (all U (ssList(U) -> ((all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (all Z (ssList(Z) -> (U = app(app(X,cons(V,Y)),cons(W,Z)) -> lt(V,W) | lt(W,V)))))))))))) <-> strictorderP(U)))) # label(ax10) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 38 (all U (ssList(U) -> (all V (ssItem(V) -> V = hd(cons(V,U)))))) # label(ax23) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 39 (all U (ssList(U) -> (all V (ssList(V) -> (U != nil & hd(U) = hd(V) & tl(V) = tl(U) & nil != V -> U = V))))) # label(ax77) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 40 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssItem(W) -> (leq(V,W) & leq(U,V) -> leq(U,W)))))))) # label(ax30) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 41 (all U (ssList(U) -> (all V (ssList(V) -> (nil = V & nil = U <-> app(U,V) = nil))))) # label(ax83) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 42 (all U (ssList(U) -> (nil = U <-> rearsegP(nil,U)))) # label(ax52) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 43 (all U (ssItem(U) -> (all V (ssItem(V) -> (lt(V,U) <-> gt(U,V)))))) # label(ax35) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 44 (all U (ssList(U) -> (all V (ssItem(V) -> ssList(cons(V,U)))))) # label(ax16) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 45 (all U (ssList(U) -> (all V (ssList(V) -> ssList(app(U,V)))))) # label(ax26) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 46 (all U (ssList(U) -> (all V (ssList(V) -> ((exists W (U = app(W,V) & ssList(W))) <-> rearsegP(U,V)))))) # label(ax6) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 47 (all U (ssList(U) -> (all V (ssItem(V) -> (memberP(U,V) <-> (exists W ((exists X (app(W,cons(V,X)) = U & ssList(X))) & ssList(W)))))))) # label(ax3) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 48 (all U (ssList(U) -> (nil != U -> (exists V (hd(U) = V & ssItem(V)))))) # label(ax75) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 49 (all U (ssList(U) -> ((all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (all Z (ssList(Z) -> (app(app(X,cons(V,Y)),cons(W,Z)) = U -> -(leq(W,V) & leq(V,W))))))))))))) <-> cyclefreeP(U)))) # label(ax8) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 50 (all U (ssList(U) -> frontsegP(U,U))) # label(ax42) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 51 (all U (ssList(U) -> (all V (ssItem(V) -> tl(cons(V,U)) = U)))) # label(ax25) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 52 (all U (ssItem(U) -> (all V (ssItem(V) -> (leq(V,U) & leq(U,V) -> V = U))))) # label(ax29) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 53 (all U (ssItem(U) -> (all V (ssItem(V) -> (geq(V,U) & geq(U,V) -> U = V))))) # label(ax87) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 54 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssItem(W) -> cons(W,app(V,U)) = app(cons(W,V),U))))))) # label(ax27) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 55 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssItem(W) -> (leq(U,V) & lt(V,W) -> lt(U,W)))))))) # label(ax91) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 56 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (frontsegP(U,V) -> frontsegP(app(U,W),V)))))))) # label(ax43) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 57 (all U (ssList(U) -> (nil != U -> ssList(tl(U))))) # label(ax24) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 58 (all U (ssItem(U) -> strictorderP(cons(U,nil)))) # label(ax63) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 59 (all U (ssList(U) -> (all V (ssList(V) -> (neq(U,V) <-> V != U))))) # label(ax15) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 60 (all U (ssList(U) -> U = nil | (exists V ((exists W (ssItem(W) & U = cons(W,V))) & ssList(V))))) # label(ax20) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 61 (all U (ssList(U) -> segmentP(U,nil))) # label(ax57) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 62 (all U (ssItem(U) -> (all V (ssList(V) -> (totalorderedP(cons(U,V)) <-> nil != V & leq(U,hd(V)) & totalorderedP(V) | nil = V))))) # label(ax67) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 63 (all U (ssList(U) -> rearsegP(U,U))) # label(ax49) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 64 (all U (ssItem(U) -> equalelemsP(cons(U,nil)))) # label(ax73) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 65 (all U (ssList(U) -> (nil != U -> cons(hd(U),tl(U)) = U))) # label(ax78) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 66 (exists U ((exists V (U != V & ssItem(V))) & ssItem(U))) # label(ax2) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 67 (all U (ssItem(U) -> strictorderedP(cons(U,nil)))) # label(ax68) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 68 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> app(U,app(V,W)) = app(app(U,V),W))))))) # label(ax82) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 69 (all U (ssItem(U) -> -lt(U,U))) # label(ax90) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 70 (all U (ssItem(U) -> leq(U,U))) # label(ax31) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 71 (all U (ssItem(U) -> (all V (ssItem(V) -> (lt(U,V) -> -lt(V,U)))))) # label(ax33) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 72 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssItem(W) -> (lt(U,V) & lt(V,W) -> lt(U,W)))))))) # label(ax34) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 73 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (app(W,V) = app(U,V) -> U = W))))))) # label(ax79) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 74 (all U (ssItem(U) -> (all V (ssItem(V) -> (gt(U,V) -> -gt(V,U)))))) # label(ax94) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 75 (all U (ssList(U) -> app(nil,U) = U)) # label(ax28) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 76 (all U (ssItem(U) -> (all V (ssList(V) -> (V = nil | V != nil & lt(U,hd(V)) & strictorderedP(V) <-> strictorderedP(cons(U,V))))))) # label(ax70) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 77 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (segmentP(V,W) & segmentP(U,V) -> segmentP(U,W)))))))) # label(ax53) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 78 (all U (ssList(U) -> (all V (ssList(V) -> ((exists W (ssList(W) & (exists X (ssList(X) & U = app(app(W,V),X))))) <-> segmentP(U,V)))))) # label(ax7) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 79 (all U (ssList(U) -> (nil != U -> ssItem(hd(U))))) # label(ax22) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 80 (all U (ssList(U) -> frontsegP(U,nil))) # label(ax45) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 81 (all U (ssItem(U) -> (all V (ssItem(V) -> (all W (ssList(W) -> (all X (ssList(X) -> (frontsegP(cons(U,W),cons(V,X)) <-> U = V & frontsegP(W,X)))))))))) # label(ax44) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 82 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (rearsegP(U,V) & rearsegP(V,W) -> rearsegP(U,W)))))))) # label(ax47) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 83 (all U (ssList(U) -> (all V (ssItem(V) -> cons(V,U) = app(cons(V,nil),U))))) # label(ax81) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 84 (all U (ssList(U) -> (segmentP(nil,U) <-> nil = U))) # label(ax58) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 85 (all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (rearsegP(U,V) -> rearsegP(app(W,U),V)))))))) # label(ax50) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 86 (all U (ssList(U) -> (equalelemsP(U) <-> (all V (ssItem(V) -> (all W (ssItem(W) -> (all X (ssList(X) -> (all Y (ssList(Y) -> (U = app(X,cons(V,cons(W,Y))) -> V = W)))))))))))) # label(ax14) # label(axiom) # label(non_clause). [assumption]. 0.99/1.25 87 -(all U (ssList(U) -> (all V (ssList(V) -> (all W (ssList(W) -> (all X (ssList(X) -> W != U | nil = U | (exists Y (ssItem(Y) & (exists Z ((exists X1 ((all X2 (ssItem(X2) -> -memberP(Z,X2) | -memberP(X1,X2) | -leq(Y,X2) | lt(Y,X2))) & app(app(Z,cons(Y,nil)),X1) = U & ssList(X1))) & ssList(Z))))) | X != nil & W = nil | (all X3 (ssList(X3) -> (all X4 (ssList(X4) -> (exists X9 ((exists X10 ((exists X11 (ssItem(X11) & (exists X12 (ssList(X12) & leq(X11,X9) & W = app(X12,cons(X11,nil)))))) & app(cons(X9,nil),X10) = X4 & ssList(X10))) & ssItem(X9))) | (exists X5 (ssItem(X5) & (exists X6 (ssList(X6) & (exists X7 (ssItem(X7) & (exists X8 (ssList(X8) & W = app(cons(X7,nil),X8) & leq(X5,X7))))) & app(X6,cons(X5,nil)) = X3)))) | -totalorderedP(W) | app(app(X3,W),X4) != X)))) | V != X)))))))) # label(co1) # label(negated_conjecture) # label(non_clause). [assumption]. 0.99/1.28 0.99/1.28 ============================== end of process non-clausal formulas === 0.99/1.28 0.99/1.28 ============================== PROCESS INITIAL CLAUSES =============== 0.99/1.28 0.99/1.28 ============================== PREDICATE ELIMINATION ================= 0.99/1.28 88 -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 89 duplicatefreeP(nil) # label(ax72) # label(axiom). [assumption]. 0.99/1.28 90 -ssItem(A) | duplicatefreeP(cons(A,nil)) # label(ax71) # label(axiom). [clausify(28)]. 0.99/1.28 91 -ssList(A) | ssItem(f19(A)) | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 92 -ssList(A) | ssItem(f20(A)) | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 93 -ssList(A) | ssList(f21(A)) | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 94 -ssList(A) | ssList(f22(A)) | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 95 -ssList(A) | ssList(f23(A)) | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 96 -ssList(A) | app(app(f21(A),cons(f19(A),f22(A))),cons(f20(A),f23(A))) = A | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 97 -ssList(A) | f20(A) = f19(A) | duplicatefreeP(A) # label(ax13) # label(axiom). [clausify(32)]. 0.99/1.28 Derived: -ssList(nil) | -ssItem(A) | -ssItem(B) | -ssList(C) | -ssList(D) | -ssList(E) | app(app(C,cons(A,D)),cons(B,E)) != nil | B != A. [resolve(88,i,89,a)]. 0.99/1.28 Derived: -ssList(cons(A,nil)) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != cons(A,nil) | C != B | -ssItem(A). [resolve(88,i,90,b)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | ssItem(f19(A)). [resolve(88,i,91,c)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | ssItem(f20(A)). [resolve(88,i,92,c)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | ssList(f21(A)). [resolve(88,i,93,c)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | ssList(f22(A)). [resolve(88,i,94,c)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | ssList(f23(A)). [resolve(88,i,95,c)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | app(app(f21(A),cons(f19(A),f22(A))),cons(f20(A),f23(A))) = A. [resolve(88,i,96,c)]. 0.99/1.28 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | C != B | -ssList(A) | f20(A) = f19(A). [resolve(88,i,97,c)]. 0.99/1.28 98 -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 99 -ssItem(A) | totalorderP(cons(A,nil)) # label(ax61) # label(axiom). [clausify(10)]. 0.99/1.28 100 -ssList(A) | ssItem(f3(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 101 -ssList(A) | ssItem(f4(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 102 -ssList(A) | ssList(f5(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 103 -ssList(A) | ssList(f6(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 104 -ssList(A) | ssList(f7(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 105 -ssList(A) | app(app(f5(A),cons(f3(A),f6(A))),cons(f4(A),f7(A))) = A | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.28 106 -ssList(A) | -leq(f4(A),f3(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.38 107 -ssList(A) | -leq(f3(A),f4(A)) | totalorderP(A) # label(ax9) # label(axiom). [clausify(15)]. 0.99/1.38 Derived: -ssList(cons(A,nil)) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != cons(A,nil) | leq(C,B) | leq(B,C) | -ssItem(A). [resolve(98,j,99,b)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | ssItem(f3(A)). [resolve(98,j,100,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | ssItem(f4(A)). [resolve(98,j,101,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | ssList(f5(A)). [resolve(98,j,102,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | ssList(f6(A)). [resolve(98,j,103,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | ssList(f7(A)). [resolve(98,j,104,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | app(app(f5(A),cons(f3(A),f6(A))),cons(f4(A),f7(A))) = A. [resolve(98,j,105,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | -leq(f4(A),f3(A)). [resolve(98,j,106,c)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | leq(C,B) | leq(B,C) | -ssList(A) | -leq(f3(A),f4(A)). [resolve(98,j,107,c)]. 0.99/1.38 108 totalorderP(nil) # label(ax62) # label(axiom). [assumption]. 0.99/1.38 Derived: -ssList(nil) | -ssItem(A) | -ssItem(B) | -ssList(C) | -ssList(D) | -ssList(E) | app(app(C,cons(A,D)),cons(B,E)) != nil | leq(B,A) | leq(A,B). [resolve(108,a,98,j)]. 0.99/1.38 109 -ssItem(A) | -ssItem(B) | neq(A,B) | B = A # label(ax1) # label(axiom). [clausify(22)]. 0.99/1.38 110 -ssItem(A) | -ssItem(B) | -neq(A,B) | B != A # label(ax1) # label(axiom). [clausify(22)]. 0.99/1.38 111 -ssList(A) | -ssList(B) | -neq(A,B) | B != A # label(ax15) # label(axiom). [clausify(59)]. 0.99/1.38 112 -ssList(A) | -ssList(B) | neq(A,B) | B = A # label(ax15) # label(axiom). [clausify(59)]. 0.99/1.38 113 -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 114 -ssItem(A) | cyclefreeP(cons(A,nil)) # label(ax59) # label(axiom). [clausify(24)]. 0.99/1.38 115 -ssList(A) | ssItem(f33(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 116 -ssList(A) | ssItem(f34(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 117 -ssList(A) | ssList(f35(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 118 -ssList(A) | ssList(f36(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 119 -ssList(A) | ssList(f37(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 120 -ssList(A) | app(app(f35(A),cons(f33(A),f36(A))),cons(f34(A),f37(A))) = A | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 121 -ssList(A) | leq(f34(A),f33(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 122 -ssList(A) | leq(f33(A),f34(A)) | cyclefreeP(A) # label(ax8) # label(axiom). [clausify(49)]. 0.99/1.38 Derived: -ssList(cons(A,nil)) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != cons(A,nil) | -leq(C,B) | -leq(B,C) | -ssItem(A). [resolve(113,j,114,b)]. 0.99/1.38 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | ssItem(f33(A)). [resolve(113,j,115,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | ssItem(f34(A)). [resolve(113,j,116,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | ssList(f35(A)). [resolve(113,j,117,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | ssList(f36(A)). [resolve(113,j,118,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | ssList(f37(A)). [resolve(113,j,119,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | app(app(f35(A),cons(f33(A),f36(A))),cons(f34(A),f37(A))) = A. [resolve(113,j,120,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | leq(f34(A),f33(A)). [resolve(113,j,121,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | -leq(C,B) | -leq(B,C) | -ssList(A) | leq(f33(A),f34(A)). [resolve(113,j,122,c)]. 0.99/1.54 123 cyclefreeP(nil) # label(ax60) # label(axiom). [assumption]. 0.99/1.54 Derived: -ssList(nil) | -ssItem(A) | -ssItem(B) | -ssList(C) | -ssList(D) | -ssList(E) | app(app(C,cons(A,D)),cons(B,E)) != nil | -leq(B,A) | -leq(A,B). [resolve(123,a,113,j)]. 0.99/1.54 124 -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 125 -ssList(A) | ssItem(f24(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 126 -ssList(A) | ssItem(f25(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 127 -ssList(A) | ssList(f26(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 128 -ssList(A) | ssList(f27(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 129 -ssList(A) | ssList(f28(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 130 -ssList(A) | app(app(f26(A),cons(f24(A),f27(A))),cons(f25(A),f28(A))) = A | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 131 -ssList(A) | -lt(f24(A),f25(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 132 -ssList(A) | -lt(f25(A),f24(A)) | strictorderP(A) # label(ax10) # label(axiom). [clausify(37)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | ssItem(f24(A)). [resolve(124,j,125,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | ssItem(f25(A)). [resolve(124,j,126,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | ssList(f26(A)). [resolve(124,j,127,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | ssList(f27(A)). [resolve(124,j,128,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | ssList(f28(A)). [resolve(124,j,129,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | app(app(f26(A),cons(f24(A),f27(A))),cons(f25(A),f28(A))) = A. [resolve(124,j,130,c)]. 0.99/1.54 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | -lt(f24(A),f25(A)). [resolve(124,j,131,c)]. 2.46/2.73 Derived: -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != A | lt(B,C) | lt(C,B) | -ssList(A) | -lt(f25(A),f24(A)). [resolve(124,j,132,c)]. 2.46/2.73 133 -ssItem(A) | strictorderP(cons(A,nil)) # label(ax63) # label(axiom). [clausify(58)]. 2.46/2.73 Derived: -ssItem(A) | -ssList(cons(A,nil)) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | -ssList(F) | app(app(D,cons(B,E)),cons(C,F)) != cons(A,nil) | lt(B,C) | lt(C,B). [resolve(133,b,124,j)]. 2.46/2.73 134 strictorderP(nil) # label(ax64) # label(axiom). [assumption]. 2.46/2.73 Derived: -ssList(nil) | -ssItem(A) | -ssItem(B) | -ssList(C) | -ssList(D) | -ssList(E) | app(app(C,cons(A,D)),cons(B,E)) != nil | lt(A,B) | lt(B,A). [resolve(134,a,124,j)]. 2.46/2.73 135 -ssList(A) | -equalelemsP(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 136 equalelemsP(nil) # label(ax74) # label(axiom). [assumption]. 2.46/2.73 137 -ssItem(A) | equalelemsP(cons(A,nil)) # label(ax73) # label(axiom). [clausify(64)]. 2.46/2.73 Derived: -ssList(nil) | -ssItem(A) | -ssItem(B) | -ssList(C) | -ssList(D) | app(C,cons(A,cons(B,D))) != nil | B = A. [resolve(135,b,136,a)]. 2.46/2.73 Derived: -ssList(cons(A,nil)) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != cons(A,nil) | C = B | -ssItem(A). [resolve(135,b,137,b)]. 2.46/2.73 138 -ssList(A) | equalelemsP(A) | ssItem(f42(A)) # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 Derived: -ssList(A) | ssItem(f42(A)) | -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B. [resolve(138,b,135,b)]. 2.46/2.73 139 -ssList(A) | equalelemsP(A) | ssItem(f43(A)) # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 Derived: -ssList(A) | ssItem(f43(A)) | -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B. [resolve(139,b,135,b)]. 2.46/2.73 140 -ssList(A) | equalelemsP(A) | ssList(f44(A)) # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 Derived: -ssList(A) | ssList(f44(A)) | -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B. [resolve(140,b,135,b)]. 2.46/2.73 141 -ssList(A) | equalelemsP(A) | ssList(f45(A)) # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 Derived: -ssList(A) | ssList(f45(A)) | -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B. [resolve(141,b,135,b)]. 2.46/2.73 142 -ssList(A) | equalelemsP(A) | app(f44(A),cons(f42(A),cons(f43(A),f45(A)))) = A # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 Derived: -ssList(A) | app(f44(A),cons(f42(A),cons(f43(A),f45(A)))) = A | -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B. [resolve(142,b,135,b)]. 2.46/2.73 143 -ssList(A) | equalelemsP(A) | f43(A) != f42(A) # label(ax14) # label(axiom). [clausify(86)]. 2.46/2.73 Derived: -ssList(A) | f43(A) != f42(A) | -ssList(A) | -ssItem(B) | -ssItem(C) | -ssList(D) | -ssList(E) | app(D,cons(B,cons(C,E))) != A | C = B. [resolve(143,b,135,b)]. 2.46/2.73 2.46/2.73 ============================== end predicate elimination ============= 2.46/2.73 2.46/2.73 Auto_denials: (non-Horn, no changes). 2.46/2.73 2.46/2.73 Term ordering decisions: 2.46/2.73 Function symbol KB weights: nil=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. cons=1. app=1. f2=1. f29=1. f30=1. f31=1. f40=1. f41=1. hd=1. tl=1. f1=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. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f42=1. f43=1. f44=1. f45=1. f46=1. 2.46/2.73 2.46/2.73 ============================== end of process initial clauses ======== 2.46/2.73 2.46/2.73 ============================== CLAUSES FOR SEARCH ==================== 2.46/2.73 2.46/2.73 ============================== end of clauses for search ============= 2.46/2.73 2.46/2.73 ============================== SEARCH ================================ 2.46/2.73 2.46/2.73 % Starting search at 0.81 seconds. 2.46/2.73 2.46/2.73 Low Water (keep): wt=33.000, iters=3398 2.46/2.73 2.46/2.73 Low Water (keep): wAlarm clock 179.75/180.05 Prover9 interrupted 179.75/180.05 EOF