%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO901_11 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO901_11 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:09:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort |tptp.'$ki_world'| 0) % 0.30/0.55 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.30/0.55 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.30/0.55 (declare-const tptp.q (-> |tptp.'$ki_world'| Bool)) % 0.30/0.55 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.30/0.55 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.30/0.55 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.30/0.55 (define @t3 () (forall (@list @t2 @t1) (|tptp.'$ki_accessible'| @t2 @t1))) % 0.30/0.55 (define @t4 () (@var "W0" |tptp.'$ki_world'|)) % 0.30/0.55 (define @t5 () (tptp.q @t4)) % 0.30/0.55 (define @t6 () (|tptp.'$ki_accessible'| @t2 @t4)) % 0.30/0.55 (define @t7 () (@list @t4)) % 0.30/0.55 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.30/0.55 (define @t9 () (tptp.p @t4)) % 0.30/0.55 (define @t10 () (forall @t7 (=> @t6 @t9))) % 0.30/0.55 (define @t11 () (= @t10 @t8)) % 0.30/0.55 (define @t12 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.30/0.55 (define @t13 () (=> @t12 @t11)) % 0.30/0.55 (define @t14 () (@list @t2)) % 0.30/0.55 (define @t15 () (forall @t14 @t13)) % 0.30/0.55 (define @t16 () (= (tptp.p @t2) (tptp.q @t2))) % 0.30/0.55 (define @t17 () (forall @t14 (=> @t12 @t16))) % 0.30/0.55 (define @t18 () (=> @t17 @t15)) % 0.30/0.55 (define @t19 () (not @t18)) % 0.30/0.55 (define @t20 () (not @t6)) % 0.30/0.55 (define @t21 () (= (forall @t7 (or @t20 @t9)) (forall @t7 (or @t20 @t5)))) % 0.30/0.55 (define @t22 () (not @t12)) % 0.30/0.55 (define @t23 () (@quantifiers_skolemize (forall @t14 (or @t22 @t21)) 0)) % 0.30/0.55 (define @t24 () (not (|tptp.'$ki_accessible'| @t23 @t4))) % 0.30/0.55 (define @t25 () (forall @t7 (or @t24 @t5))) % 0.30/0.55 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.30/0.55 (define @t27 () (tptp.p @t26)) % 0.30/0.55 (define @t28 () (tptp.q @t26)) % 0.30/0.55 (define @t29 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t26)) % 0.30/0.55 (define @t30 () (not @t29)) % 0.30/0.55 (define @t31 () (or @t30 (= @t27 @t28))) % 0.30/0.55 (define @t32 () (forall @t14 (or @t22 @t16))) % 0.30/0.55 (define @t33 () (@list @t26)) % 0.30/0.55 (define @t34 () (= @t28 @t27)) % 0.30/0.55 (define @t35 () (or @t30 @t34)) % 0.30/0.55 (define @t36 () (@list false)) % 0.30/0.55 (define @t37 () (forall @t7 (or @t24 @t9))) % 0.30/0.55 (define @t38 () (= @t37 @t25)) % 0.30/0.55 (define @t39 () (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t23)) @t38)) % 0.30/0.55 (define @t40 () (@list true)) % 0.30/0.55 (define @t41 () (@quantifiers_skolemize @t37 0)) % 0.30/0.55 (define @t42 () (tptp.p @t41)) % 0.30/0.55 (define @t43 () (|tptp.'$ki_accessible'| @t23 @t41)) % 0.30/0.55 (define @t44 () (not @t43)) % 0.30/0.55 (define @t45 () (or @t44 @t42)) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (not @t37)) % 0.30/0.55 (define @t48 () (@list @t41)) % 0.30/0.55 (define @t49 () (tptp.q @t41)) % 0.30/0.55 (define @t50 () (or @t44 @t49)) % 0.30/0.55 (define @t51 () (= @t42 @t49)) % 0.30/0.55 (define @t52 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t41)) % 0.30/0.55 (define @t53 () (not @t52)) % 0.30/0.55 (define @t54 () (or @t53 @t51)) % 0.30/0.55 (define @t55 () (@list false false)) % 0.30/0.55 (define @t56 () (|tptp.'$ki_accessible'| @t23 @t26)) % 0.30/0.55 (define @t57 () (not @t56)) % 0.30/0.55 (define @t58 () (or @t57 @t27)) % 0.30/0.55 (define @t59 () (not @t25)) % 0.30/0.55 (define @t60 () (@list true false)) % 0.30/0.55 (define @t61 () (or @t57 @t28)) % 0.30/0.55 (define @t62 () (not @t61)) % 0.30/0.55 (define @t63 () (@list @t61)) % 0.30/0.55 (define @t64 () (not @t34)) % 0.30/0.55 (assume @p1 @t3) % 0.30/0.55 (assume @p2 @t19) % 0.30/0.55 (assume @p3 true) % 0.30/0.55 (step @p4 :rule bool-impl-elim :args (@t12 @t21)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4) :args ((forall @t14 (=> @t12 @t21)))) % 0.30/0.55 (step @p6 :rule bool-impl-elim :args (@t6 @t5)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 0.30/0.55 (step @p8 :rule bool-impl-elim :args (@t6 @t9)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8) :args (@t10)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9 @p7) :args (@t11)) % 0.30/0.55 (step @p11 :rule refl :args (@t12)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t13)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12) :args (@t15)) % 0.30/0.55 (step @p14 :rule trans :premises (@p13 @p5)) % 0.30/0.55 (step @p15 :rule bool-impl-elim :args (@t12 @t16)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15) :args (@t17)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p14) :args (@t18)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args (@t19)) % 0.30/0.55 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 0.30/0.55 (step @p20 :rule not_implies_elim1 :premises (@p19)) % 0.30/0.55 (step @p21 :rule eq-symm :args (@t27 @t28)) % 0.30/0.55 (step @p22 :rule refl :args (@t30)) % 0.30/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t31)) % 0.30/0.55 (step @p24 :rule refl :args (@t32)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t32 @t31))) % 0.30/0.55 (assume-push @p112 @t32) % 0.30/0.55 (step @p27 :rule instantiate :premises (@p20) :args (@t33)) % 0.30/0.55 (step-pop @p113 :rule scope :premises (@p27)) % 0.30/0.55 (step @p28 :rule process_scope :premises (@p113) :args (@t31)) % 0.30/0.55 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.30/0.55 (step @p31 :rule implies_elim :premises (@p30)) % 0.30/0.55 (step @p32 :rule chain_m_resolution :premises (@p31 @p20) :args (@t35 @t36 (@list @t32))) % 0.30/0.55 (step @p33 :rule not_implies_elim2 :premises (@p19)) % 0.30/0.55 (step @p34 :rule skolemize :premises (@p33)) % 0.30/0.55 (step @p35 :rule cnf_or_neg :args (@t39 1)) % 0.30/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p34) :args ((not @t38) @t40 (@list @t39))) % 0.30/0.55 (step @p37 :rule cnf_equiv_neg1 :args (@t38)) % 0.30/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t37 @t25 @t38))) % 0.30/0.55 (step @p39 :rule refl :args (@t46)) % 0.30/0.55 (step @p40 :rule bool-double-not-elim :args (@t37)) % 0.30/0.55 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t47) @t46))) % 0.30/0.55 (assume-push @p114 @t47) % 0.30/0.55 (step @p43 :rule skolemize :premises (@p114)) % 0.30/0.55 (step-pop @p115 :rule scope :premises (@p43)) % 0.30/0.55 (step @p44 :rule process_scope :premises (@p115) :args (@t46)) % 0.30/0.55 (step @p46 :rule implies_elim :premises (@p44)) % 0.30/0.55 (step @p47 :rule eq_resolve :premises (@p46 @p41)) % 0.30/0.55 (assume-push @p116 @t25) % 0.30/0.55 (step @p49 :rule instantiate :premises (@p116) :args (@t48)) % 0.30/0.55 (step-pop @p117 :rule scope :premises (@p49)) % 0.30/0.55 (step @p50 :rule process_scope :premises (@p117) :args (@t50)) % 0.30/0.55 (step @p52 :rule implies_elim :premises (@p50)) % 0.30/0.55 (step @p53 :rule bool-double-not-elim :args (@t43)) % 0.30/0.55 (step @p54 :rule refl :args (@t45)) % 0.30/0.55 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t45 (not @t44)))) % 0.30/0.55 (step @p56 :rule cnf_or_neg :args (@t45 0)) % 0.30/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.30/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or @t43 @t45))) % 0.30/0.55 (step @p59 :rule cnf_or_neg :args (@t45 1)) % 0.30/0.55 (step @p60 :rule cnf_or_pos :args (@t50)) % 0.30/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t44 @t49 (not @t50)))) % 0.30/0.55 (step @p62 :rule instantiate :premises (@p20) :args (@t48)) % 0.30/0.55 (step @p63 :rule instantiate :premises (@p1) :args ((@list |tptp.'$ki_local_world'| @t41))) % 0.30/0.55 (step @p64 :rule cnf_or_pos :args (@t54)) % 0.30/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t53 @t51 (not @t54)))) % 0.30/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p62) :args (@t51 @t55 (@list @t52 @t54))) % 0.30/0.55 (step @p67 :rule cnf_equiv_pos2 :args (@t51)) % 0.30/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t42 (not @t49) (not @t51)))) % 0.30/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p61 @p59 @p58 @p52 @p47 @p38 @p36) :args (@t37 (@list false false true false false true false true) (@list @t51 @t49 @t42 @t43 @t50 @t45 @t25 @t38))) % 0.30/0.55 (assume-push @p118 @t37) % 0.30/0.55 (step @p71 :rule instantiate :premises (@p118) :args (@t33)) % 0.30/0.55 (step-pop @p119 :rule scope :premises (@p71)) % 0.30/0.55 (step @p72 :rule process_scope :premises (@p119) :args (@t58)) % 0.30/0.55 (step @p74 :rule implies_elim :premises (@p72)) % 0.30/0.55 (step @p75 :rule chain_m_resolution :premises (@p74 @p69) :args (@t58 @t36 (@list @t37))) % 0.30/0.55 (step @p76 :rule cnf_equiv_neg2 :args (@t38)) % 0.30/0.55 (step @p77 :rule chain_m_resolution :premises (@p76 @p36 @p69) :args (@t59 @t60 (@list @t38 @t37))) % 0.30/0.55 (step @p78 :rule refl :args (@t62)) % 0.30/0.55 (step @p79 :rule bool-double-not-elim :args (@t25)) % 0.30/0.55 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t59) @t62))) % 0.30/0.55 (assume-push @p120 @t59) % 0.30/0.55 (step @p82 :rule skolemize :premises (@p120)) % 0.30/0.55 (step-pop @p121 :rule scope :premises (@p82)) % 0.30/0.55 (step @p83 :rule process_scope :premises (@p121) :args (@t62)) % 0.30/0.55 (step @p85 :rule implies_elim :premises (@p83)) % 0.30/0.55 (step @p86 :rule eq_resolve :premises (@p85 @p80)) % 0.30/0.55 (step @p87 :rule chain_m_resolution :premises (@p86 @p77) :args (@t62 @t40 (@list @t25))) % 0.30/0.55 (step @p88 :rule bool-double-not-elim :args (@t56)) % 0.30/0.55 (step @p89 :rule refl :args (@t61)) % 0.30/0.55 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t61 (not @t57)))) % 0.30/0.55 (step @p91 :rule cnf_or_neg :args (@t61 0)) % 0.30/0.55 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.30/0.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t56 @t61))) % 0.30/0.55 (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t56 @t40 @t63)) % 0.30/0.55 (step @p95 :rule cnf_or_pos :args (@t58)) % 0.30/0.55 (step @p96 :rule reordering :premises (@p95) :args ((or @t57 @t27 (not @t58)))) % 0.30/0.55 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p75) :args (@t27 @t55 (@list @t56 @t58))) % 0.30/0.55 (step @p98 :rule cnf_or_neg :args (@t61 1)) % 0.30/0.55 (step @p99 :rule chain_m_resolution :premises (@p98 @p87) :args ((not @t28) @t40 @t63)) % 0.30/0.55 (step @p100 :rule cnf_equiv_pos2 :args (@t34)) % 0.30/0.55 (step @p101 :rule reordering :premises (@p100) :args ((or @t28 (not @t27) @t64))) % 0.30/0.55 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p97) :args (@t64 @t60 (@list @t28 @t27))) % 0.30/0.55 (step @p103 :rule cnf_or_pos :args (@t35)) % 0.30/0.55 (step @p104 :rule reordering :premises (@p103) :args ((or @t30 @t34 (not @t35)))) % 0.30/0.55 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p32) :args (@t30 @t60 (@list @t34 @t35))) % 0.30/0.55 (assume-push @p122 @t3) % 0.30/0.55 (step @p107 :rule instantiate :premises (@p1) :args ((@list |tptp.'$ki_local_world'| @t26))) % 0.30/0.55 (step-pop @p123 :rule scope :premises (@p107)) % 0.30/0.55 (step @p108 :rule process_scope :premises (@p123) :args (@t29)) % 0.30/0.55 (step @p110 :rule implies_elim :premises (@p108)) % 0.30/0.55 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p1) :args (false @t60 (@list @t29 @t3))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------