0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.34 % Computer : n021.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % DateTime : Tue Jul 13 16:36:10 EDT 2021 0.12/0.34 % CPUTime : 0.89/1.18 ============================== Prover9 =============================== 0.89/1.18 Prover9 (32) version 2009-11A, November 2009. 0.89/1.18 Process 30130 was started by sandbox on n021.cluster.edu, 0.89/1.18 Tue Jul 13 16:36:11 2021 0.89/1.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_29771_n021.cluster.edu". 0.89/1.18 ============================== end of head =========================== 0.89/1.18 0.89/1.18 ============================== INPUT ================================= 0.89/1.18 0.89/1.18 % Reading from file /tmp/Prover9_29771_n021.cluster.edu 0.89/1.18 0.89/1.18 set(prolog_style_variables). 0.89/1.18 set(auto2). 0.89/1.18 % set(auto2) -> set(auto). 0.89/1.18 % set(auto) -> set(auto_inference). 0.89/1.18 % set(auto) -> set(auto_setup). 0.89/1.18 % set(auto_setup) -> set(predicate_elim). 0.89/1.18 % set(auto_setup) -> assign(eq_defs, unfold). 0.89/1.18 % set(auto) -> set(auto_limits). 0.89/1.18 % set(auto_limits) -> assign(max_weight, "100.000"). 0.89/1.18 % set(auto_limits) -> assign(sos_limit, 20000). 0.89/1.18 % set(auto) -> set(auto_denials). 0.89/1.18 % set(auto) -> set(auto_process). 0.89/1.18 % set(auto2) -> assign(new_constants, 1). 0.89/1.18 % set(auto2) -> assign(fold_denial_max, 3). 0.89/1.18 % set(auto2) -> assign(max_weight, "200.000"). 0.89/1.18 % set(auto2) -> assign(max_hours, 1). 0.89/1.18 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.89/1.18 % set(auto2) -> assign(max_seconds, 0). 0.89/1.18 % set(auto2) -> assign(max_minutes, 5). 0.89/1.18 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.89/1.18 % set(auto2) -> set(sort_initial_sos). 0.89/1.18 % set(auto2) -> assign(sos_limit, -1). 0.89/1.18 % set(auto2) -> assign(lrs_ticks, 3000). 0.89/1.18 % set(auto2) -> assign(max_megs, 400). 0.89/1.18 % set(auto2) -> assign(stats, some). 0.89/1.18 % set(auto2) -> clear(echo_input). 0.89/1.18 % set(auto2) -> set(quiet). 0.89/1.18 % set(auto2) -> clear(print_initial_clauses). 0.89/1.18 % set(auto2) -> clear(print_given). 0.89/1.18 assign(lrs_ticks,-1). 0.89/1.18 assign(sos_limit,10000). 0.89/1.18 assign(order,kbo). 0.89/1.18 set(lex_order_vars). 0.89/1.18 clear(print_given). 0.89/1.18 0.89/1.18 % formulas(sos). % not echoed (72 formulas) 0.89/1.18 0.89/1.18 ============================== end of input ========================== 0.89/1.18 0.89/1.18 % From the command line: assign(max_seconds, 1200). 0.89/1.18 0.89/1.18 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.89/1.18 0.89/1.18 % Formulas that are not ordinary clauses: 0.89/1.18 1 (all U all V (vincent_forename(U,V) -> forename(U,V))) # label(ax2) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 2 (all U all V all W (accessible_world(V,W) & forename(V,U) -> forename(W,U))) # label(ax39) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 3 (all U all V (unisex(U,V) -> -male(U,V))) # label(ax34) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 4 (all U all V (man(U,V) -> male(U,V))) # label(ax5) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 5 (all U all V all W (animate(V,U) & accessible_world(V,W) -> animate(W,U))) # label(ax41) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 6 (all U all V all W (accessible_world(V,W) & present(V,U) -> present(W,U))) # label(ax60) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 7 (all U all V all W (accessible_world(V,W) & proposition(V,U) -> proposition(W,U))) # label(ax56) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 8 (all U all V (human_person(U,V) -> human(U,V))) # label(ax7) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 9 (all U all V all W (smoke(V,U) & accessible_world(V,W) -> smoke(W,U))) # label(ax68) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 10 (all U all V (state(U,V) -> event(U,V))) # label(ax16) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 11 (all U all V all W (accessible_world(V,W) & relname(V,U) -> relname(W,U))) # label(ax38) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 12 (all U all V all W (think_believe_consider(V,U) & accessible_world(V,W) -> think_believe_consider(W,U))) # label(ax58) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 13 (all U all V all W all X all Y all Z (theme(U,V,Y) & agent(U,V,X) & theme(U,W,Z) & agent(U,W,X) & proposition(U,Z) & think_believe_consider(U,W) & proposition(U,Y) & think_believe_consider(U,V) -> Z = Y)) # label(ax71) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 14 (all U all V (eventuality(U,V) -> thing(U,V))) # label(ax28) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 15 (all U all V all W (accessible_world(V,W) & male(V,U) -> male(W,U))) # label(ax40) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 16 (all U all V (state(U,V) -> eventuality(U,V))) # label(ax17) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 17 (all U all V (nonhuman(U,V) -> -human(U,V))) # label(ax32) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 18 (all U all V all W (accessible_world(V,W) & man(V,U) -> man(W,U))) # label(ax49) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 19 (all U all V all W (accessible_world(V,W) & eventuality(V,U) -> eventuality(W,U))) # label(ax66) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 20 (all U all V (human_person(U,V) -> organism(U,V))) # label(ax14) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 21 (all U all V (entity(U,V) -> thing(U,V))) # label(ax12) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 22 (all U all V all W (relation(V,U) & accessible_world(V,W) -> relation(W,U))) # label(ax55) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 23 (all U all V all W all X all Y (accessible_world(X,Y) & be(X,U,V,W) -> be(Y,U,V,W))) # label(ax51) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 24 (all U all V all W all X (be(U,V,W,X) -> X = W)) # label(ax70) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 25 (all U all V (proposition(U,V) -> relation(U,V))) # label(ax23) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 26 (all U all V (abstraction(U,V) -> nonhuman(U,V))) # label(ax20) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 27 (all U all V all W (accessible_world(V,W) & human_person(V,U) -> human_person(W,U))) # label(ax48) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 28 (all U all V all W all X (accessible_world(W,X) & of(W,U,V) -> of(X,U,V))) # label(ax36) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 29 (all U all V (entity(U,V) -> existent(U,V))) # label(ax10) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 30 (all U all V (jules_forename(U,V) -> forename(U,V))) # label(ax1) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 31 (all U all V (eventuality(U,V) -> specific(U,V))) # label(ax26) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 32 (all U all V (man(U,V) -> human_person(U,V))) # label(ax15) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 33 (all U all V all W (vincent_forename(V,U) & accessible_world(V,W) -> vincent_forename(W,U))) # label(ax37) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 34 (all U all V (abstraction(U,V) -> thing(U,V))) # label(ax21) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 35 (all U all V all W (abstraction(V,U) & accessible_world(V,W) -> abstraction(W,U))) # label(ax54) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 36 (all U all V all W (thing(V,U) & accessible_world(V,W) -> thing(W,U))) # label(ax65) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 37 (all U all V all W (accessible_world(V,W) & organism(V,U) -> organism(W,U))) # label(ax47) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 38 (all U all V all W (event(V,U) & accessible_world(V,W) -> event(W,U))) # label(ax67) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 39 (all U all V all W (general(V,U) & accessible_world(V,W) -> general(W,U))) # label(ax52) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 40 (all U all V all W (accessible_world(V,W) & impartial(V,U) -> impartial(W,U))) # label(ax44) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 41 (all U all V (relname(U,V) -> relation(U,V))) # label(ax3) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 42 (all U all V (eventuality(U,V) -> unisex(U,V))) # label(ax24) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 43 (all U all V all W (accessible_world(V,W) & human(V,U) -> human(W,U))) # label(ax42) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 44 (all U all V (organism(U,V) -> entity(U,V))) # label(ax13) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 45 (all U all V (event(U,V) -> eventuality(U,V))) # label(ax29) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 46 (all U all V all W (jules_forename(V,U) & accessible_world(V,W) -> jules_forename(W,U))) # label(ax35) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 47 (all U all V (smoke(U,V) -> event(U,V))) # label(ax30) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 48 (all U all V (organism(U,V) -> living(U,V))) # label(ax8) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 49 (all U all V (abstraction(U,V) -> unisex(U,V))) # label(ax18) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 50 (all U all V all W all X (theme(W,U,V) & accessible_world(W,X) -> theme(X,U,V))) # label(ax57) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 51 (all U all V all W all X (accessible_world(W,X) & agent(W,U,V) -> agent(X,U,V))) # label(ax59) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 52 (all U all V all W (living(V,U) & accessible_world(V,W) -> living(W,U))) # label(ax43) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 53 (all U all V (organism(U,V) -> impartial(U,V))) # label(ax9) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 54 (all U all V (thing(U,V) -> singleton(U,V))) # label(ax27) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 55 (all U all V all W (accessible_world(V,W) & nonexistent(V,U) -> nonexistent(W,U))) # label(ax62) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 56 (all U all V (human_person(U,V) -> animate(U,V))) # label(ax6) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 57 (all U all V all W (of(U,W,V) & forename(U,W) & entity(U,V) -> -(exists X (of(U,X,V) & X != W & forename(U,X))))) # label(ax69) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 58 (all U all V all W (nonhuman(V,U) & accessible_world(V,W) -> nonhuman(W,U))) # label(ax53) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 59 (all U all V all W (existent(V,U) & accessible_world(V,W) -> existent(W,U))) # label(ax45) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 60 (all U all V all W (accessible_world(V,W) & entity(V,U) -> entity(W,U))) # label(ax46) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 61 (all U all V (eventuality(U,V) -> nonexistent(U,V))) # label(ax25) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 62 (all U all V all W (accessible_world(V,W) & singleton(V,U) -> singleton(W,U))) # label(ax64) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 63 (all U all V (existent(U,V) -> -nonexistent(U,V))) # label(ax31) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 64 (all U all V (forename(U,V) -> relname(U,V))) # label(ax4) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 65 (all U all V all W (accessible_world(V,W) & state(V,U) -> state(W,U))) # label(ax50) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 66 (all U all V all W (accessible_world(V,W) & unisex(V,U) -> unisex(W,U))) # label(ax61) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 67 (all U all V (abstraction(U,V) -> general(U,V))) # label(ax19) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 68 (all U all V (specific(U,V) -> -general(U,V))) # label(ax33) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 69 (all U all V (relation(U,V) -> abstraction(U,V))) # label(ax22) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 70 (all U all V all W (accessible_world(V,W) & specific(V,U) -> specific(W,U))) # label(ax63) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 71 (all U all V (entity(U,V) -> specific(U,V))) # label(ax11) # label(axiom) # label(non_clause). [assumption]. 0.89/1.18 72 --(-(exists X5 (actual_world(X5) & (exists X6 exists X7 exists X8 exists X9 exists V exists W exists X exists Y exists Z exists X1 exists X2 exists X10 exists X11 (man(X5,X6) & vincent_forename(X5,X7) & forename(X5,X7) & man(X5,X8) & jules_forename(X5,X9) & forename(X5,X9) & vincent_forename(X5,W) & forename(X5,W) & agent(X5,X,V) & theme(X5,X,Y) & event(X5,X) & (all X3 (man(Y,X3) -> (exists X4 (event(Y,X4) & present(Y,X4) & smoke(Y,X4) & agent(Y,X4,X3))))) & of(X5,Z,X1) & man(X5,X1) & state(X5,X2) & agent(X5,X10,X6) & theme(X5,X10,X11) & event(X5,X10) & accessible_world(X5,X11) & (exists X12 (event(X11,X12) & smoke(X11,X12) & present(X11,X12) & agent(X11,X12,X8))) & think_believe_consider(X5,X10) & present(X5,X10) & proposition(X5,X11) & be(X5,X2,X1,X1) & man(X5,X1) & forename(X5,Z) & jules_forename(X5,Z) & accessible_world(X5,Y) & think_believe_consider(X5,X) & present(X5,X) & proposition(X5,Y) & man(X5,V) & of(X5,W,V) & of(X5,X9,X8) & of(X5,X7,X6))))) & (exists U ((exists V exists W exists X exists Y exists Z exists X1 exists X2 (of(U,W,V) & man(U,V) & present(U,X) & think_believe_consider(U,X) & accessible_world(U,Y) & of(U,Z,X1) & man(U,X1) & forename(U,Z) & be(U,X2,X1,X1) & state(U,X2) & man(U,X1) & jules_forename(U,Z) & (all X3 (man(Y,X3) -> (exists X4 (event(Y,X4) & present(Y,X4) & smoke(Y,X4) & agent(Y,X4,X3))))) & event(U,X) & theme(U,X,Y) & agent(U,X,V) & proposition(U,Y) & forename(U,W) & vincent_forename(U,W))) & actual_world(U)))) # label(co1) # label(negated_conjecture) # label(non_clause). [assumption]. 0.89/1.18 0.89/1.18 ============================== end of process non-clausal formulas === 0.89/1.18 0.89/1.18 ============================== PROCESS INITIAL CLAUSES =============== 0.89/1.18 0.89/1.18 ============================== PREDICATE ELIMINATION ================= 0.89/1.18 73 -actual_world(A) | -man(A,B) | -vincent_forename(A,C) | -forename(A,C) | -man(A,D) | -jules_forename(A,E) | -forename(A,E) | -vincent_forename(A,F) | -forename(A,F) | -agent(A,V6,V7) | -theme(A,V6,V8) | -event(A,V6) | -event(V8,V9) | -present(V8,V9) | -smoke(V8,V9) | -agent(V8,V9,f1(A,B,C,D,E,V7,F,V6,V8,V10,V11,V12,V13,V14)) | -of(A,V10,V11) | -man(A,V11) | -state(A,V12) | -agent(A,V13,B) | -theme(A,V13,V14) | -event(A,V13) | -accessible_world(A,V14) | -event(V14,V15) | -smoke(V14,V15) | -present(V14,V15) | -agent(V14,V15,D) | -think_believe_consider(A,V13) | -present(A,V13) | -proposition(A,V14) | -be(A,V12,V11,V11) | -forename(A,V10) | -jules_forename(A,V10) | -accessible_world(A,V8) | -think_believe_consider(A,V6) | -present(A,V6) | -proposition(A,V8) | -man(A,V7) | -of(A,F,V7) | -of(A,E,D) | -of(A,C,B) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.89/1.18 74 actual_world(c1) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.89/1.18 Derived: -man(c1,A) | -vincent_forename(c1,B) | -forename(c1,B) | -man(c1,C) | -jules_forename(c1,D) | -forename(c1,D) | -vincent_forename(c1,E) | -forename(c1,E) | -agent(c1,F,V6) | -theme(c1,F,V7) | -event(c1,F) | -event(V7,V8) | -present(V7,V8) | -smoke(V7,V8) | -agent(V7,V8,f1(c1,A,B,C,D,V6,E,F,V7,V9,V10,V11,V12,V13)) | -of(c1,V9,V10) | -man(c1,V10) | -state(c1,V11) | -agent(c1,V12,A) | -theme(c1,V12,V13) | -event(c1,V12) | -accessible_world(c1,V13) | -event(V13,V14) | -smoke(V13,V14) | -present(V13,V14) | -agent(V13,V14,C) | -think_believe_consider(c1,V12) | -present(c1,V12) | -proposition(c1,V13) | -be(c1,V11,V10,V10) | -forename(c1,V9) | -jules_forename(c1,V9) | -accessible_world(c1,V7) | -think_believe_consider(c1,F) | -present(c1,F) | -proposition(c1,V7) | -man(c1,V6) | -of(c1,E,V6) | -of(c1,D,C) | -of(c1,B,A). [resolve(73,a,74,a)]. 0.89/1.18 75 -actual_world(A) | -man(A,B) | -vincent_forename(A,C) | -forename(A,C) | -man(A,D) | -jules_forename(A,E) | -forename(A,E) | -vincent_forename(A,F) | -forename(A,F) | -agent(A,V6,V7) | -theme(A,V6,V8) | -event(A,V6) | man(V8,f1(A,B,C,D,E,V7,F,V6,V8,V9,V10,V11,V12,V13)) | -of(A,V9,V10) | -man(A,V10) | -state(A,V11) | -agent(A,V12,B) | -theme(A,V12,V13) | -event(A,V12) | -accessible_world(A,V13) | -event(V13,V14) | -smoke(V13,V14) | -present(V13,V14) | -agent(V13,V14,D) | -think_believe_consider(A,V12) | -present(A,V12) | -proposition(A,V13) | -be(A,V11,V10,V10) | -forename(A,V9) | -jules_forename(A,V9) | -accessible_world(A,V8) | -think_believe_consider(A,V6) | -present(A,V6) | -proposition(A,V8) | -man(A,V7) | -of(A,F,V7) | -of(A,E,D) | -of(A,C,B) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.89/1.18 Derived: -man(c1,A) | -vincent_forename(c1,B) | -forename(c1,B) | -man(c1,C) | -jules_forename(c1,D) | -forename(c1,D) | -vincent_forename(c1,E) | -forename(c1,E) | -agent(c1,F,V6) | -theme(c1,F,V7) | -event(c1,F) | man(V7,f1(c1,A,B,C,D,V6,E,F,V7,V8,V9,V10,V11,V12)) | -of(c1,V8,V9) | -man(c1,V9) | -state(c1,V10) | -agent(c1,V11,A) | -theme(c1,V11,V12) | -event(c1,V11) | -accessible_world(c1,V12) | -event(V12,V13) | -smoke(V12,V13) | -present(V12,V13) | -agent(V12,V13,C) | -think_believe_consider(c1,V11) | -present(c1,V11) | -proposition(c1,V12) | -be(c1,V10,V9,V9) | -forename(c1,V8) | -jules_forename(c1,V8) | -accessible_world(c1,V7) | -think_believe_consider(c1,F) | -present(c1,F) | -proposition(c1,V7) | -man(c1,V6) | -of(c1,E,V6) | -of(c1,D,C) | -of(c1,B,A). [resolve(75,a,74,a)]. 0.91/1.36 0.91/1.36 ============================== end predicate elimination ============= 0.91/1.36 0.91/1.36 Auto_denials: 0.91/1.36 % copying label ax34 to answer in negative clause 0.91/1.36 % copying label ax32 to answer in negative clause 0.91/1.36 % copying label ax31 to answer in negative clause 0.91/1.36 % copying label ax33 to answer in negative clause 0.91/1.36 % assign(max_proofs, 5). % (Horn set with more than one neg. clause) 0.91/1.36 0.91/1.36 Term ordering decisions: 0.91/1.36 0.91/1.36 % Assigning unary symbol f2 kb_weight 0 and highest precedence (46). 0.91/1.36 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. f1=1. f2=0. 0.91/1.36 0.91/1.36 ============================== end of process initial clauses ======== 0.91/1.36 0.91/1.36 ============================== CLAUSES FOR SEARCH ==================== 0.91/1.36 0.91/1.36 ============================== end of clauses for search ============= 0.91/1.36 0.91/1.36 ============================== SEARCH ================================ 0.91/1.36 0.91/1.36 % Starting search at 0.03 seconds. 0.91/1.36 0.91/1.36 ============================== PROOF ================================= 0.91/1.36 % SZS status Theorem 0.91/1.36 % SZS output start Refutation 0.91/1.36 0.91/1.36 % Proof 1 at 0.20 (+ 0.00) seconds. 0.91/1.36 % Length of proof is 40. 0.91/1.36 % Level of proof is 6. 0.91/1.36 % Maximum clause weight is 146.000. 0.91/1.36 % Given clauses 356. 0.91/1.36 0.91/1.36 18 (all U all V all W (accessible_world(V,W) & man(V,U) -> man(W,U))) # label(ax49) # label(axiom) # label(non_clause). [assumption]. 0.91/1.36 72 --(-(exists X5 (actual_world(X5) & (exists X6 exists X7 exists X8 exists X9 exists V exists W exists X exists Y exists Z exists X1 exists X2 exists X10 exists X11 (man(X5,X6) & vincent_forename(X5,X7) & forename(X5,X7) & man(X5,X8) & jules_forename(X5,X9) & forename(X5,X9) & vincent_forename(X5,W) & forename(X5,W) & agent(X5,X,V) & theme(X5,X,Y) & event(X5,X) & (all X3 (man(Y,X3) -> (exists X4 (event(Y,X4) & present(Y,X4) & smoke(Y,X4) & agent(Y,X4,X3))))) & of(X5,Z,X1) & man(X5,X1) & state(X5,X2) & agent(X5,X10,X6) & theme(X5,X10,X11) & event(X5,X10) & accessible_world(X5,X11) & (exists X12 (event(X11,X12) & smoke(X11,X12) & present(X11,X12) & agent(X11,X12,X8))) & think_believe_consider(X5,X10) & present(X5,X10) & proposition(X5,X11) & be(X5,X2,X1,X1) & man(X5,X1) & forename(X5,Z) & jules_forename(X5,Z) & accessible_world(X5,Y) & think_believe_consider(X5,X) & present(X5,X) & proposition(X5,Y) & man(X5,V) & of(X5,W,V) & of(X5,X9,X8) & of(X5,X7,X6))))) & (exists U ((exists V exists W exists X exists Y exists Z exists X1 exists X2 (of(U,W,V) & man(U,V) & present(U,X) & think_believe_consider(U,X) & accessible_world(U,Y) & of(U,Z,X1) & man(U,X1) & forename(U,Z) & be(U,X2,X1,X1) & state(U,X2) & man(U,X1) & jules_forename(U,Z) & (all X3 (man(Y,X3) -> (exists X4 (event(Y,X4) & present(Y,X4) & smoke(Y,X4) & agent(Y,X4,X3))))) & event(U,X) & theme(U,X,Y) & agent(U,X,V) & proposition(U,Y) & forename(U,W) & vincent_forename(U,W))) & actual_world(U)))) # label(co1) # label(negated_conjecture) # label(non_clause). [assumption]. 0.91/1.36 73 -actual_world(A) | -man(A,B) | -vincent_forename(A,C) | -forename(A,C) | -man(A,D) | -jules_forename(A,E) | -forename(A,E) | -vincent_forename(A,F) | -forename(A,F) | -agent(A,V6,V7) | -theme(A,V6,V8) | -event(A,V6) | -event(V8,V9) | -present(V8,V9) | -smoke(V8,V9) | -agent(V8,V9,f1(A,B,C,D,E,V7,F,V6,V8,V10,V11,V12,V13,V14)) | -of(A,V10,V11) | -man(A,V11) | -state(A,V12) | -agent(A,V13,B) | -theme(A,V13,V14) | -event(A,V13) | -accessible_world(A,V14) | -event(V14,V15) | -smoke(V14,V15) | -present(V14,V15) | -agent(V14,V15,D) | -think_believe_consider(A,V13) | -present(A,V13) | -proposition(A,V14) | -be(A,V12,V11,V11) | -forename(A,V10) | -jules_forename(A,V10) | -accessible_world(A,V8) | -think_believe_consider(A,V6) | -present(A,V6) | -proposition(A,V8) | -man(A,V7) | -of(A,F,V7) | -of(A,E,D) | -of(A,C,B) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 74 actual_world(c1) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 75 -actual_world(A) | -man(A,B) | -vincent_forename(A,C) | -forename(A,C) | -man(A,D) | -jules_forename(A,E) | -forename(A,E) | -vincent_forename(A,F) | -forename(A,F) | -agent(A,V6,V7) | -theme(A,V6,V8) | -event(A,V6) | man(V8,f1(A,B,C,D,E,V7,F,V6,V8,V9,V10,V11,V12,V13)) | -of(A,V9,V10) | -man(A,V10) | -state(A,V11) | -agent(A,V12,B) | -theme(A,V12,V13) | -event(A,V12) | -accessible_world(A,V13) | -event(V13,V14) | -smoke(V13,V14) | -present(V13,V14) | -agent(V13,V14,D) | -think_believe_consider(A,V12) | -present(A,V12) | -proposition(A,V13) | -be(A,V11,V10,V10) | -forename(A,V9) | -jules_forename(A,V9) | -accessible_world(A,V8) | -think_believe_consider(A,V6) | -present(A,V6) | -proposition(A,V8) | -man(A,V7) | -of(A,F,V7) | -of(A,E,D) | -of(A,C,B) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 76 man(c1,c2) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 77 present(c1,c4) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 78 think_believe_consider(c1,c4) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 79 accessible_world(c1,c5) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 80 man(c1,c7) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 81 forename(c1,c6) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 82 state(c1,c8) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 83 jules_forename(c1,c6) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 84 event(c1,c4) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 85 proposition(c1,c5) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 86 forename(c1,c3) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 87 vincent_forename(c1,c3) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 88 of(c1,c3,c2) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 89 of(c1,c6,c7) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 90 theme(c1,c4,c5) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 91 agent(c1,c4,c2) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 92 be(c1,c8,c7,c7) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 127 -man(c5,A) | event(c5,f2(A)) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 128 -man(c5,A) | present(c5,f2(A)) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 129 -man(c5,A) | smoke(c5,f2(A)) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 131 -man(c5,A) | agent(c5,f2(A),A) # label(co1) # label(negated_conjecture). [clausify(72)]. 0.91/1.36 140 -accessible_world(A,B) | -man(A,C) | man(B,C) # label(ax49) # label(axiom). [clausify(18)]. 0.91/1.36 168 -man(c1,A) | -vincent_forename(c1,B) | -forename(c1,B) | -man(c1,C) | -jules_forename(c1,D) | -forename(c1,D) | -vincent_forename(c1,E) | -forename(c1,E) | -agent(c1,F,V6) | -theme(c1,F,V7) | -event(c1,F) | -event(V7,V8) | -present(V7,V8) | -smoke(V7,V8) | -agent(V7,V8,f1(c1,A,B,C,D,V6,E,F,V7,V9,V10,V11,V12,V13)) | -of(c1,V9,V10) | -man(c1,V10) | -state(c1,V11) | -agent(c1,V12,A) | -theme(c1,V12,V13) | -event(c1,V12) | -accessible_world(c1,V13) | -event(V13,V14) | -smoke(V13,V14) | -present(V13,V14) | -agent(V13,V14,C) | -think_believe_consider(c1,V12) | -present(c1,V12) | -proposition(c1,V13) | -be(c1,V11,V10,V10) | -forename(c1,V9) | -jules_forename(c1,V9) | -accessible_world(c1,V7) | -think_believe_consider(c1,F) | -present(c1,F) | -proposition(c1,V7) | -man(c1,V6) | -of(c1,E,V6) | -of(c1,D,C) | -of(c1,B,A). [resolve(73,a,74,a)]. 0.91/1.36 169 -man(c1,A) | -vincent_forename(c1,B) | -forename(c1,B) | -man(c1,C) | -jules_forename(c1,D) | -forename(c1,D) | -vincent_forename(c1,E) | -forename(c1,E) | -agent(c1,F,V6) | -theme(c1,F,V7) | -event(c1,F) | man(V7,f1(c1,A,B,C,D,V6,E,F,V7,V8,V9,V10,V11,V12)) | -of(c1,V8,V9) | -man(c1,V9) | -state(c1,V10) | -agent(c1,V11,A) | -theme(c1,V11,V12) | -event(c1,V11) | -accessible_world(c1,V12) | -event(V12,V13) | -smoke(V12,V13) | -present(V12,V13) | -agent(V12,V13,C) | -think_believe_consider(c1,V11) | -present(c1,V11) | -proposition(c1,V12) | -be(c1,V10,V9,V9) | -forename(c1,V8) | -jules_forename(c1,V8) | -accessible_world(c1,V7) | -think_believe_consider(c1,F) | -present(c1,F) | -proposition(c1,V7) | -man(c1,V6) | -of(c1,E,V6) | -of(c1,D,C) | -of(c1,B,A). [resolve(75,a,74,a)]. 0.91/1.38 185 man(c5,c7). [hyper(140,a,79,a,b,80,a)]. 0.91/1.38 239 agent(c5,f2(c7),c7). [hyper(131,a,185,a)]. 0.91/1.38 240 smoke(c5,f2(c7)). [hyper(129,a,185,a)]. 0.91/1.38 241 present(c5,f2(c7)). [hyper(128,a,185,a)]. 0.91/1.38 242 event(c5,f2(c7)). [hyper(127,a,185,a)]. 0.91/1.38 343 man(c5,f1(c1,c2,c3,c7,c6,c2,c3,c4,c5,c6,c7,c8,c4,c5)). [hyper(169,a,76,a,b,87,a,c,86,a,d,80,a,e,83,a,f,81,a,g,87,a,h,86,a,i,91,a,j,90,a,k,84,a,m,89,a,n,80,a,o,82,a,p,91,a,q,90,a,r,84,a,s,79,a,t,242,a,u,240,a,v,241,a,w,239,a,x,78,a,y,77,a,z,85,a,A,92,a,B,81,a,C,83,a,D,79,a,E,78,a,F,77,a,G,85,a,H,76,a,I,88,a,J,89,a,K,88,a)]. 0.91/1.38 402 agent(c5,f2(f1(c1,c2,c3,c7,c6,c2,c3,c4,c5,c6,c7,c8,c4,c5)),f1(c1,c2,c3,c7,c6,c2,c3,c4,c5,c6,c7,c8,c4,c5)). [hyper(131,a,343,a)]. 0.91/1.38 403 smoke(c5,f2(f1(c1,c2,c3,c7,c6,c2,c3,c4,c5,c6,c7,c8,c4,c5))). [hyper(129,a,343,a)]. 0.91/1.38 404 present(c5,f2(f1(c1,c2,c3,c7,c6,c2,c3,c4,c5,c6,c7,c8,c4,c5))). [hyper(128,a,343,a)]. 0.91/1.38 405 event(c5,f2(f1(c1,c2,c3,c7,c6,c2,c3,c4,c5,c6,c7,c8,c4,c5))). [hyper(127,a,343,a)]. 0.91/1.38 475 $F. [ur(168,a,76,a,b,87,a,c,86,a,d,80,a,e,83,a,f,81,a,g,87,a,h,86,a,i,91,a,j,90,a,k,84,a,m,404,a,n,403,a,o,402,a,p,89,a,q,80,a,r,82,a,s,91,a,t,90,a,u,84,a,v,79,a,w,242,a,x,240,a,y,241,a,z,239,a,A,78,a,B,77,a,C,85,a,D,92,a,E,81,a,F,83,a,G,79,a,H,78,a,I,77,a,J,85,a,K,76,a,L,88,a,M,89,a,N,88,a),unit_del(a,405)]. 0.91/1.38 0.91/1.38 % SZS output end Refutation 0.91/1.38 ============================== end of proof ========================== 0.91/1.38 0.91/1.38 % Disable descendants (x means already disabled): 0.91/1.38 0x 73x 168 345 379 433 453 0.91/1.38 0.91/1.38 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.21 sec). 0.91/1.38 0.91/1.38 ============================== STATISTICS ============================ 0.91/1.38 0.91/1.38 Given=571. Generated=840. Kept=573. proofs=1. 0.91/1.38 Usable=568. Sos=0. Demods=0. Limbo=0, Disabled=102. Hints=0. 0.91/1.38 Megabytes=0.76. 0.91/1.38 User_CPU=0.22, System_CPU=0.00, Wall_clock=1. 0.91/1.38 0.91/1.38 ============================== end of statistics ===================== 0.91/1.38 0.91/1.38 ============================== end of search ========================= 0.91/1.38 0.91/1.38 SEARCH FAILED 0.91/1.38 0.91/1.38 Exiting with 1 proof. 0.91/1.38 0.91/1.38 Process 30130 exit (sos_empty) Tue Jul 13 16:36:12 2021 0.91/1.38 Prover9 interrupted 0.91/1.38 EOF