%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL961_11 : TPTP v9.3.1. 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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:16 AM UTC 2026 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL961_11 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n003.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 5 17:05:06 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.50 % SZS status Theorem % 0.20/0.50 % SZS output start Proof % 0.20/0.50 ( % 0.20/0.50 (declare-sort |tptp.'$ki_world'| 0) % 0.20/0.50 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.20/0.50 (declare-const tptp.q (-> |tptp.'$ki_world'| Bool)) % 0.20/0.50 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.20/0.50 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.20/0.50 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.20/0.50 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.20/0.50 (define @t3 () (forall (@list @t2 @t1) (|tptp.'$ki_accessible'| @t2 @t1))) % 0.20/0.50 (define @t4 () (@var "W0" |tptp.'$ki_world'|)) % 0.20/0.50 (define @t5 () (tptp.p @t4)) % 0.20/0.50 (define @t6 () (|tptp.'$ki_accessible'| @t2 @t4)) % 0.20/0.50 (define @t7 () (@list @t4)) % 0.20/0.50 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.20/0.50 (define @t9 () (tptp.q @t4)) % 0.20/0.50 (define @t10 () (forall @t7 (=> @t6 @t9))) % 0.20/0.50 (define @t11 () (=> @t10 @t8)) % 0.20/0.50 (define @t12 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.20/0.50 (define @t13 () (=> @t12 @t11)) % 0.20/0.50 (define @t14 () (@list @t2)) % 0.20/0.50 (define @t15 () (forall @t14 @t13)) % 0.20/0.50 (define @t16 () (=> @t8 @t10)) % 0.20/0.50 (define @t17 () (=> @t12 @t16)) % 0.20/0.50 (define @t18 () (forall @t14 @t17)) % 0.20/0.50 (define @t19 () (or @t18 @t15)) % 0.20/0.50 (define @t20 () (not @t19)) % 0.20/0.50 (define @t21 () (@var "BOUND_VARIABLE_7469" |tptp.'$ki_world'|)) % 0.20/0.50 (define @t22 () (tptp.p @t21)) % 0.20/0.50 (define @t23 () (not (|tptp.'$ki_accessible'| @t2 @t21))) % 0.20/0.50 (define @t24 () (not @t6)) % 0.20/0.50 (define @t25 () (forall @t7 (or @t24 @t9))) % 0.20/0.50 (define @t26 () (not @t25)) % 0.20/0.50 (define @t27 () (not @t12)) % 0.20/0.50 (define @t28 () (or @t27 @t26 @t23 @t22)) % 0.20/0.50 (define @t29 () (or @t23 @t22)) % 0.20/0.50 (define @t30 () (or @t27 @t26 @t29)) % 0.20/0.50 (define @t31 () (@list @t2 @t21)) % 0.20/0.50 (define @t32 () (forall @t31 @t30)) % 0.20/0.50 (define @t33 () (@list @t21)) % 0.20/0.50 (define @t34 () (forall @t33 @t30)) % 0.20/0.50 (define @t35 () (forall @t33 @t29)) % 0.20/0.50 (define @t36 () (@list @t4)) % 0.20/0.50 (define @t37 () (or @t27 @t26 @t35)) % 0.20/0.50 (define @t38 () (forall @t7 (or @t24 @t5))) % 0.20/0.50 (define @t39 () (or @t27 @t26 @t38)) % 0.20/0.50 (define @t40 () (=> @t25 @t38)) % 0.20/0.50 (define @t41 () (@var "BOUND_VARIABLE_7451" |tptp.'$ki_world'|)) % 0.20/0.50 (define @t42 () (tptp.q @t41)) % 0.20/0.50 (define @t43 () (not (|tptp.'$ki_accessible'| @t2 @t41))) % 0.20/0.50 (define @t44 () (not @t38)) % 0.20/0.50 (define @t45 () (or @t27 @t44 @t43 @t42)) % 0.20/0.50 (define @t46 () (or @t43 @t42)) % 0.20/0.50 (define @t47 () (or @t27 @t44 @t46)) % 0.20/0.50 (define @t48 () (@list @t2 @t41)) % 0.20/0.50 (define @t49 () (forall @t48 @t47)) % 0.20/0.50 (define @t50 () (@list @t41)) % 0.20/0.50 (define @t51 () (forall @t50 @t47)) % 0.20/0.50 (define @t52 () (forall @t50 @t46)) % 0.20/0.50 (define @t53 () (or @t27 @t44 @t52)) % 0.20/0.50 (define @t54 () (or @t27 @t44 @t25)) % 0.20/0.50 (define @t55 () (=> @t38 @t25)) % 0.20/0.50 (define @t56 () (forall @t48 @t45)) % 0.20/0.50 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.20/0.50 (define @t58 () (forall @t7 (or (not (|tptp.'$ki_accessible'| @t57 @t4)) @t5))) % 0.20/0.50 (define @t59 () (@quantifiers_skolemize @t56 1)) % 0.20/0.50 (define @t60 () (not @t58)) % 0.20/0.50 (define @t61 () (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t57)) @t60 (not (|tptp.'$ki_accessible'| @t57 @t59)) (tptp.q @t59))) % 0.20/0.50 (define @t62 () (@list true)) % 0.20/0.50 (define @t63 () (forall @t31 @t28)) % 0.20/0.50 (define @t64 () (@quantifiers_skolemize @t63 1)) % 0.20/0.50 (define @t65 () (tptp.p @t64)) % 0.20/0.50 (define @t66 () (@quantifiers_skolemize @t63 0)) % 0.20/0.50 (define @t67 () (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t66)) (not (forall @t7 (or (not (|tptp.'$ki_accessible'| @t66 @t4)) @t9))) (not (|tptp.'$ki_accessible'| @t66 @t64)) @t65)) % 0.20/0.50 (define @t68 () (|tptp.'$ki_accessible'| @t57 @t64)) % 0.20/0.50 (define @t69 () (not @t68)) % 0.20/0.50 (define @t70 () (or @t69 @t65)) % 0.20/0.50 (define @t71 () (@list true false)) % 0.20/0.50 (assume @p1 @t3) % 0.20/0.50 (assume @p2 @t20) % 0.20/0.50 (assume @p3 true) % 0.20/0.50 (step @p4 :rule aci_norm :args ((= @t30 @t28))) % 0.20/0.50 (step @p5 :rule cong :premises (@p4) :args (@t32)) % 0.20/0.50 (step @p6 :rule quant-merge-prenex :args ((= (forall @t14 @t34) @t32))) % 0.20/0.50 (step @p7 :rule alpha_equiv :args (@t35 (@list @t21) @t36)) % 0.20/0.50 (step @p8 :rule refl :args (@t26)) % 0.20/0.50 (step @p9 :rule refl :args (@t27)) % 0.20/0.50 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t37)) % 0.20/0.50 (step @p11 :rule quant-miniscope-or :args ((= @t34 @t37))) % 0.20/0.50 (step @p12 :rule trans :premises (@p11 @p10)) % 0.20/0.50 (step @p13 :rule symm :premises (@p12)) % 0.20/0.50 (step @p14 :rule cong :premises (@p13) :args ((forall @t14 @t39))) % 0.20/0.51 (step @p15 :rule trans :premises (@p14 @p6)) % 0.20/0.51 (step @p16 :rule trans :premises (@p15 @p5)) % 0.20/0.51 (step @p17 :rule aci_norm :args ((= (or @t27 (or @t26 @t38)) @t39))) % 0.20/0.51 (step @p18 :rule bool-impl-elim :args (@t25 @t38)) % 0.20/0.51 (step @p19 :rule nary_cong :premises (@p9 @p18) :args ((or @t27 @t40))) % 0.20/0.51 (step @p20 :rule trans :premises (@p19 @p17)) % 0.20/0.51 (step @p21 :rule bool-impl-elim :args (@t12 @t40)) % 0.20/0.51 (step @p22 :rule trans :premises (@p21 @p20)) % 0.20/0.51 (step @p23 :rule cong :premises (@p22) :args ((forall @t14 (=> @t12 @t40)))) % 0.20/0.51 (step @p24 :rule trans :premises (@p23 @p16)) % 0.20/0.51 (step @p25 :rule bool-impl-elim :args (@t6 @t5)) % 0.20/0.51 (step @p26 :rule cong :premises (@p25) :args (@t8)) % 0.20/0.51 (step @p27 :rule bool-impl-elim :args (@t6 @t9)) % 0.20/0.51 (step @p28 :rule cong :premises (@p27) :args (@t10)) % 0.20/0.51 (step @p29 :rule cong :premises (@p28 @p26) :args (@t11)) % 0.20/0.51 (step @p30 :rule refl :args (@t12)) % 0.20/0.51 (step @p31 :rule cong :premises (@p30 @p29) :args (@t13)) % 0.20/0.51 (step @p32 :rule cong :premises (@p31) :args (@t15)) % 0.20/0.51 (step @p33 :rule trans :premises (@p32 @p24)) % 0.20/0.51 (step @p34 :rule aci_norm :args ((= @t47 @t45))) % 0.20/0.51 (step @p35 :rule cong :premises (@p34) :args (@t49)) % 0.20/0.51 (step @p36 :rule quant-merge-prenex :args ((= (forall @t14 @t51) @t49))) % 0.20/0.51 (step @p37 :rule alpha_equiv :args (@t52 (@list @t41) @t36)) % 0.20/0.51 (step @p38 :rule refl :args (@t44)) % 0.20/0.51 (step @p39 :rule nary_cong :premises (@p9 @p38 @p37) :args (@t53)) % 0.20/0.51 (step @p40 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.20/0.51 (step @p41 :rule trans :premises (@p40 @p39)) % 0.20/0.51 (step @p42 :rule symm :premises (@p41)) % 0.20/0.51 (step @p43 :rule cong :premises (@p42) :args ((forall @t14 @t54))) % 0.20/0.51 (step @p44 :rule trans :premises (@p43 @p36)) % 0.20/0.51 (step @p45 :rule trans :premises (@p44 @p35)) % 0.20/0.51 (step @p46 :rule aci_norm :args ((= (or @t27 (or @t44 @t25)) @t54))) % 0.20/0.51 (step @p47 :rule bool-impl-elim :args (@t38 @t25)) % 0.20/0.51 (step @p48 :rule nary_cong :premises (@p9 @p47) :args ((or @t27 @t55))) % 0.20/0.51 (step @p49 :rule trans :premises (@p48 @p46)) % 0.20/0.51 (step @p50 :rule bool-impl-elim :args (@t12 @t55)) % 0.20/0.51 (step @p51 :rule trans :premises (@p50 @p49)) % 0.20/0.51 (step @p52 :rule cong :premises (@p51) :args ((forall @t14 (=> @t12 @t55)))) % 0.20/0.51 (step @p53 :rule trans :premises (@p52 @p45)) % 0.20/0.51 (step @p54 :rule cong :premises (@p26 @p28) :args (@t16)) % 0.20/0.51 (step @p55 :rule cong :premises (@p30 @p54) :args (@t17)) % 0.20/0.51 (step @p56 :rule cong :premises (@p55) :args (@t18)) % 0.20/0.51 (step @p57 :rule trans :premises (@p56 @p53)) % 0.20/0.51 (step @p58 :rule nary_cong :premises (@p57 @p33) :args (@t19)) % 0.20/0.51 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 0.20/0.51 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 0.20/0.51 (step @p61 :rule not_or_elim :premises (@p60) :args (0)) % 0.20/0.51 (step @p62 :rule skolemize :premises (@p61)) % 0.20/0.51 (step @p63 :rule bool-double-not-elim :args (@t58)) % 0.20/0.51 (step @p64 :rule refl :args (@t61)) % 0.20/0.51 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t61 (not @t60)))) % 0.20/0.51 (step @p66 :rule cnf_or_neg :args (@t61 1)) % 0.20/0.51 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.20/0.51 (step @p68 :rule reordering :premises (@p67) :args ((or @t58 @t61))) % 0.20/0.51 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t58 @t62 (@list @t61))) % 0.20/0.51 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t64))) % 0.20/0.51 (step @p71 :rule not_or_elim :premises (@p60) :args (1)) % 0.20/0.51 (step @p72 :rule skolemize :premises (@p71)) % 0.20/0.51 (step @p73 :rule cnf_or_neg :args (@t67 3)) % 0.20/0.51 (step @p74 :rule chain_m_resolution :premises (@p73 @p72) :args ((not @t65) @t62 (@list @t67))) % 0.20/0.51 (step @p75 :rule cnf_or_pos :args (@t70)) % 0.20/0.51 (step @p76 :rule reordering :premises (@p75) :args ((or @t65 @t69 (not @t70)))) % 0.20/0.51 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p70) :args (@t69 @t71 (@list @t65 @t70))) % 0.20/0.51 (assume-push @p84 @t3) % 0.20/0.51 (step @p79 :rule instantiate :premises (@p1) :args ((@list @t57 @t64))) % 0.20/0.51 (step-pop @p85 :rule scope :premises (@p79)) % 0.20/0.51 (step @p80 :rule process_scope :premises (@p85) :args (@t68)) % 0.20/0.51 (step @p82 :rule implies_elim :premises (@p80)) % 0.20/0.51 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p1) :args (false @t71 (@list @t68 @t3))) % 0.20/0.51 ) % 0.20/0.51 % SZS output end Proof % 0.20/0.51 % cvc5 exiting %------------------------------------------------------------------------------