%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO902_8 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:45 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO902_8 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:09:17 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort |tptp.'$ki_world'| 0) % 0.39/0.57 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.39/0.57 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.39/0.57 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.39/0.57 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.39/0.57 (define @t2 () (@list @t1)) % 0.39/0.57 (define @t3 () (@var "W0" |tptp.'$ki_world'|)) % 0.39/0.57 (define @t4 () (tptp.p @t3)) % 0.39/0.57 (define @t5 () (|tptp.'$ki_accessible'| @t1 @t3)) % 0.39/0.57 (define @t6 () (and @t5 @t4)) % 0.39/0.57 (define @t7 () (@list @t3)) % 0.39/0.57 (define @t8 () (exists @t7 @t6)) % 0.39/0.57 (define @t9 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.39/0.57 (define @t10 () (and @t9 @t8)) % 0.39/0.57 (define @t11 () (exists @t2 @t10)) % 0.39/0.57 (define @t12 () (@var "W1" |tptp.'$ki_world'|)) % 0.39/0.57 (define @t13 () (tptp.p @t12)) % 0.39/0.57 (define @t14 () (|tptp.'$ki_accessible'| @t3 @t12)) % 0.39/0.57 (define @t15 () (and @t14 @t13)) % 0.39/0.57 (define @t16 () (@list @t12)) % 0.39/0.57 (define @t17 () (exists @t16 @t15)) % 0.39/0.57 (define @t18 () (=> @t5 @t17)) % 0.39/0.57 (define @t19 () (forall @t7 @t18)) % 0.39/0.57 (define @t20 () (and @t9 @t19)) % 0.39/0.57 (define @t21 () (exists @t2 @t20)) % 0.39/0.57 (define @t22 () (=> @t21 @t11)) % 0.39/0.57 (define @t23 () (not @t22)) % 0.39/0.57 (define @t24 () (@var "BOUND_VARIABLE_7475" |tptp.'$ki_world'|)) % 0.39/0.57 (define @t25 () (not (tptp.p @t24))) % 0.39/0.57 (define @t26 () (not (|tptp.'$ki_accessible'| @t1 @t24))) % 0.39/0.57 (define @t27 () (not @t9)) % 0.39/0.57 (define @t28 () (or @t27 @t26 @t25)) % 0.39/0.57 (define @t29 () (or @t26 @t25)) % 0.39/0.57 (define @t30 () (or @t27 @t29)) % 0.39/0.57 (define @t31 () (@list @t1 @t24)) % 0.39/0.57 (define @t32 () (forall @t31 @t30)) % 0.39/0.57 (define @t33 () (@list @t24)) % 0.39/0.57 (define @t34 () (forall @t33 @t30)) % 0.39/0.57 (define @t35 () (forall @t33 @t29)) % 0.39/0.57 (define @t36 () (or @t27 @t35)) % 0.39/0.57 (define @t37 () (not @t5)) % 0.39/0.57 (define @t38 () (forall @t7 (or @t37 (not @t4)))) % 0.39/0.57 (define @t39 () (not @t38)) % 0.39/0.57 (define @t40 () (and @t9 @t39)) % 0.39/0.57 (define @t41 () (forall @t2 (not @t40))) % 0.39/0.57 (define @t42 () (not @t41)) % 0.39/0.57 (define @t43 () (forall @t7 (not @t6))) % 0.39/0.57 (define @t44 () (not @t43)) % 0.39/0.57 (define @t45 () (not @t13)) % 0.39/0.57 (define @t46 () (not (forall @t16 (or (not @t14) @t45)))) % 0.39/0.57 (define @t47 () (forall @t7 (or @t37 @t46))) % 0.39/0.57 (define @t48 () (and @t9 @t47)) % 0.39/0.57 (define @t49 () (forall @t2 (not @t48))) % 0.39/0.57 (define @t50 () (not @t49)) % 0.39/0.57 (define @t51 () (forall @t16 (not @t15))) % 0.39/0.57 (define @t52 () (not @t51)) % 0.39/0.57 (define @t53 () (@quantifiers_skolemize (forall @t2 (or @t27 (not @t47))) 0)) % 0.39/0.57 (define @t54 () (forall @t7 (or (not (|tptp.'$ki_accessible'| @t53 @t3)) @t46))) % 0.39/0.57 (define @t55 () (not @t54)) % 0.39/0.57 (define @t56 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t53)) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (or @t57 @t55)) % 0.39/0.57 (define @t59 () (@list true)) % 0.39/0.57 (define @t60 () (@list @t58)) % 0.39/0.57 (define @t61 () (@list @t53)) % 0.39/0.57 (define @t62 () (forall @t16 (or (not (|tptp.'$ki_accessible'| @t53 @t12)) @t45))) % 0.39/0.57 (define @t63 () (not @t62)) % 0.39/0.57 (define @t64 () (|tptp.'$ki_accessible'| @t53 @t53)) % 0.39/0.57 (define @t65 () (not @t64)) % 0.39/0.57 (define @t66 () (or @t65 @t63)) % 0.39/0.57 (define @t67 () (@quantifiers_skolemize @t62 0)) % 0.39/0.57 (define @t68 () (tptp.p @t67)) % 0.39/0.57 (define @t69 () (not @t68)) % 0.39/0.57 (define @t70 () (|tptp.'$ki_accessible'| @t53 @t67)) % 0.39/0.57 (define @t71 () (not @t70)) % 0.39/0.57 (define @t72 () (or @t71 @t69)) % 0.39/0.57 (define @t73 () (@list @t72)) % 0.39/0.57 (define @t74 () (or @t57 @t71 @t69)) % 0.39/0.57 (define @t75 () (not @t74)) % 0.39/0.57 (define @t76 () (forall @t31 @t28)) % 0.39/0.57 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.39/0.57 (assume @p2 @t23) % 0.39/0.57 (assume @p3 true) % 0.39/0.57 (step @p4 :rule aci_norm :args ((= @t30 @t28))) % 0.39/0.57 (step @p5 :rule cong :premises (@p4) :args (@t32)) % 0.39/0.57 (step @p6 :rule quant-merge-prenex :args ((= (forall @t2 @t34) @t32))) % 0.39/0.57 (step @p7 :rule alpha_equiv :args (@t35 (@list @t24) (@list @t3))) % 0.39/0.57 (step @p8 :rule refl :args (@t27)) % 0.39/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t36)) % 0.39/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t34 @t36))) % 0.39/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.57 (step @p12 :rule symm :premises (@p11)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t2 (or @t27 @t38)))) % 0.39/0.57 (step @p14 :rule trans :premises (@p13 @p6)) % 0.39/0.57 (step @p15 :rule trans :premises (@p14 @p5)) % 0.39/0.57 (step @p16 :rule bool-double-not-elim :args (@t38)) % 0.39/0.57 (step @p17 :rule nary_cong :premises (@p8 @p16) :args ((or @t27 (not @t39)))) % 0.39/0.57 (step @p18 :rule bool-and-de-morgan :args (@t9 @t39 true)) % 0.39/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19) :args (@t41)) % 0.39/0.57 (step @p21 :rule trans :premises (@p20 @p15)) % 0.39/0.57 (step @p22 :rule cong :premises (@p21) :args (@t42)) % 0.39/0.57 (step @p23 :rule exists-elim :args ((= (exists @t2 @t40) @t42))) % 0.39/0.57 (step @p24 :rule trans :premises (@p23 @p22)) % 0.39/0.57 (step @p25 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25) :args (@t43)) % 0.39/0.57 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 0.39/0.57 (step @p28 :rule exists-elim :args ((= @t8 @t44))) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.39/0.57 (step @p30 :rule refl :args (@t9)) % 0.39/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t10)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.39/0.57 (step @p33 :rule trans :premises (@p32 @p24)) % 0.39/0.57 (step @p34 :rule bool-and-de-morgan :args (@t9 @t47 true)) % 0.39/0.57 (step @p35 :rule cong :premises (@p34) :args (@t49)) % 0.39/0.57 (step @p36 :rule cong :premises (@p35) :args (@t50)) % 0.39/0.57 (step @p37 :rule exists-elim :args ((= (exists @t2 @t48) @t50))) % 0.39/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.57 (step @p39 :rule bool-impl-elim :args (@t5 @t46)) % 0.39/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 (=> @t5 @t46)))) % 0.39/0.57 (step @p41 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.39/0.57 (step @p42 :rule cong :premises (@p41) :args (@t51)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42) :args (@t52)) % 0.39/0.57 (step @p44 :rule exists-elim :args ((= @t17 @t52))) % 0.39/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.57 (step @p46 :rule refl :args (@t5)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t18)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47) :args (@t19)) % 0.39/0.57 (step @p49 :rule trans :premises (@p48 @p40)) % 0.39/0.57 (step @p50 :rule nary_cong :premises (@p30 @p49) :args (@t20)) % 0.39/0.57 (step @p51 :rule cong :premises (@p50) :args (@t21)) % 0.39/0.57 (step @p52 :rule trans :premises (@p51 @p38)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52 @p33) :args (@t22)) % 0.39/0.57 (step @p54 :rule cong :premises (@p53) :args (@t23)) % 0.39/0.57 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 0.39/0.57 (step @p56 :rule not_implies_elim2 :premises (@p55)) % 0.39/0.57 (step @p57 :rule not_not_elim :premises (@p56)) % 0.39/0.57 (step @p58 :rule not_implies_elim1 :premises (@p55)) % 0.39/0.57 (step @p59 :rule skolemize :premises (@p58)) % 0.39/0.57 (step @p60 :rule bool-double-not-elim :args (@t54)) % 0.39/0.57 (step @p61 :rule refl :args (@t58)) % 0.39/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t58 (not @t55)))) % 0.39/0.57 (step @p63 :rule cnf_or_neg :args (@t58 1)) % 0.39/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.39/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t54 @t58))) % 0.39/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t54 @t59 @t60)) % 0.39/0.57 (step @p67 :rule instantiate :premises (@p66) :args (@t61)) % 0.39/0.57 (step @p68 :rule instantiate :premises (@p1) :args (@t61)) % 0.39/0.57 (step @p69 :rule cnf_or_pos :args (@t66)) % 0.39/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t65 @t63 (not @t66)))) % 0.39/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p67) :args (@t63 (@list false false) (@list @t64 @t66))) % 0.39/0.57 (step @p72 :rule skolemize :premises (@p71)) % 0.39/0.57 (step @p73 :rule bool-double-not-elim :args (@t68)) % 0.39/0.57 (step @p74 :rule refl :args (@t72)) % 0.39/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t72 (not @t69)))) % 0.39/0.57 (step @p76 :rule cnf_or_neg :args (@t72 1)) % 0.39/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.39/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t68 @t72))) % 0.39/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t68 @t59 @t73)) % 0.39/0.57 (step @p80 :rule bool-double-not-elim :args (@t70)) % 0.39/0.57 (step @p81 :rule nary_cong :premises (@p74 @p80) :args ((or @t72 (not @t71)))) % 0.39/0.57 (step @p82 :rule cnf_or_neg :args (@t72 0)) % 0.39/0.57 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.39/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t70 @t72))) % 0.39/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p72) :args (@t70 @t59 @t73)) % 0.39/0.57 (step @p86 :rule bool-double-not-elim :args (@t56)) % 0.39/0.57 (step @p87 :rule nary_cong :premises (@p61 @p86) :args ((or @t58 (not @t57)))) % 0.39/0.57 (step @p88 :rule cnf_or_neg :args (@t58 0)) % 0.39/0.57 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.39/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t56 @t58))) % 0.39/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p59) :args (@t56 @t59 @t60)) % 0.39/0.58 (step @p92 :rule cnf_or_pos :args (@t74)) % 0.39/0.58 (step @p93 :rule reordering :premises (@p92) :args ((or @t57 @t71 @t69 @t75))) % 0.39/0.58 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85 @p79) :args (@t75 (@list false false false) (@list @t56 @t70 @t68))) % 0.39/0.58 (assume-push @p101 @t76) % 0.39/0.58 (step @p96 :rule instantiate :premises (@p57) :args ((@list @t53 @t67))) % 0.39/0.58 (step-pop @p102 :rule scope :premises (@p96)) % 0.39/0.58 (step @p97 :rule process_scope :premises (@p102) :args (@t74)) % 0.39/0.58 (step @p99 :rule implies_elim :premises (@p97)) % 0.39/0.58 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p57) :args (false (@list true false) (@list @t74 @t76))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------