%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV043^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:55:21 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV043^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:10:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort tptp.a 0) % 0.38/0.58 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.58 (define @t2 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 0.38/0.58 (define @t3 () (_ @t2 @t1)) % 0.38/0.58 (define @t4 () (_ @t3 @t1)) % 0.38/0.58 (define @t5 () (@var "Xy" tptp.a)) % 0.38/0.58 (define @t6 () (_ @t3 @t5)) % 0.38/0.58 (define @t7 () (@list @t1 @t5)) % 0.38/0.58 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.38/0.58 (define @t9 () (@var "Xz" tptp.a)) % 0.38/0.58 (define @t10 () (_ @t3 @t9)) % 0.38/0.58 (define @t11 () (_ @t2 @t5)) % 0.38/0.58 (define @t12 () (_ @t11 @t9)) % 0.38/0.58 (define @t13 () (and @t6 @t12)) % 0.38/0.58 (define @t14 () (@list @t1 @t5 @t9)) % 0.38/0.58 (define @t15 () (forall @t14 (=> @t13 @t10))) % 0.38/0.58 (define @t16 () (_ @t11 @t1)) % 0.38/0.58 (define @t17 () (forall @t7 (=> @t6 @t16))) % 0.38/0.58 (define @t18 () (and @t17 @t15)) % 0.38/0.58 (define @t19 () (=> @t18 @t8)) % 0.38/0.58 (define @t20 () (@list @t2)) % 0.38/0.58 (define @t21 () (forall @t20 @t19)) % 0.38/0.58 (define @t22 () (not @t21)) % 0.38/0.58 (define @t23 () (@var "BOUND_VARIABLE_7466" tptp.a)) % 0.38/0.58 (define @t24 () (_ @t2 @t23 @t23)) % 0.38/0.58 (define @t25 () (@var "BOUND_VARIABLE_7468" tptp.a)) % 0.38/0.58 (define @t26 () (not (_ @t2 @t23 @t25))) % 0.38/0.58 (define @t27 () (_ @t2 @t1 @t9)) % 0.38/0.58 (define @t28 () (_ @t2 @t5 @t9)) % 0.38/0.58 (define @t29 () (_ @t2 @t1 @t5)) % 0.38/0.58 (define @t30 () (not @t29)) % 0.38/0.58 (define @t31 () (forall @t14 (or @t30 (not @t28) @t27))) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (_ @t2 @t5 @t1)) % 0.38/0.58 (define @t34 () (forall @t7 (or @t30 @t33))) % 0.38/0.58 (define @t35 () (not @t34)) % 0.38/0.58 (define @t36 () (or @t35 @t32 @t26 @t24)) % 0.38/0.58 (define @t37 () (or @t26 @t24)) % 0.38/0.58 (define @t38 () (or @t35 @t32 @t37)) % 0.38/0.58 (define @t39 () (@list @t2 @t23 @t25)) % 0.38/0.58 (define @t40 () (forall @t39 @t38)) % 0.38/0.58 (define @t41 () (@list @t23 @t25)) % 0.38/0.58 (define @t42 () (forall @t41 @t38)) % 0.38/0.58 (define @t43 () (forall @t41 @t37)) % 0.38/0.58 (define @t44 () (or @t35 @t32 @t43)) % 0.38/0.58 (define @t45 () (_ @t2 @t1 @t1)) % 0.38/0.58 (define @t46 () (forall @t7 (or @t30 @t45))) % 0.38/0.58 (define @t47 () (or @t35 @t32 @t46)) % 0.38/0.58 (define @t48 () (and @t34 @t31)) % 0.38/0.58 (define @t49 () (not @t6)) % 0.38/0.58 (define @t50 () (or @t49 @t4)) % 0.38/0.58 (define @t51 () (not @t12)) % 0.38/0.58 (define @t52 () (or @t49 @t51 @t10)) % 0.38/0.58 (define @t53 () (or @t49 @t16)) % 0.38/0.58 (define @t54 () (forall @t39 @t36)) % 0.38/0.58 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.38/0.58 (define @t56 () (not (_ @t55 @t1 @t5))) % 0.38/0.58 (define @t57 () (forall @t14 (or @t56 (not (_ @t55 @t5 @t9)) (_ @t55 @t1 @t9)))) % 0.38/0.58 (define @t58 () (@quantifiers_skolemize @t54 1)) % 0.38/0.58 (define @t59 () (_ @t55 @t58 @t58)) % 0.38/0.58 (define @t60 () (@quantifiers_skolemize @t54 2)) % 0.38/0.58 (define @t61 () (_ @t55 @t58 @t60)) % 0.38/0.58 (define @t62 () (not @t61)) % 0.38/0.58 (define @t63 () (not @t57)) % 0.38/0.58 (define @t64 () (forall @t7 (or @t56 (_ @t55 @t5 @t1)))) % 0.38/0.58 (define @t65 () (not @t64)) % 0.38/0.58 (define @t66 () (or @t65 @t63 @t62 @t59)) % 0.38/0.58 (define @t67 () (@list true)) % 0.38/0.58 (define @t68 () (@list @t66)) % 0.38/0.58 (define @t69 () (_ @t55 @t60 @t58)) % 0.38/0.58 (define @t70 () (or @t62 @t69)) % 0.38/0.58 (define @t71 () (not @t69)) % 0.38/0.58 (define @t72 () (or @t62 @t71 @t59)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (assume @p1 @t22) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule aci_norm :args ((= @t38 @t36))) % 0.38/0.58 (step @p4 :rule cong :premises (@p3) :args (@t40)) % 0.38/0.58 (step @p5 :rule quant-merge-prenex :args ((= (forall @t20 @t42) @t40))) % 0.38/0.58 (step @p6 :rule alpha_equiv :args (@t43 (@list @t23 @t25) (@list @t1 @t5))) % 0.38/0.58 (step @p7 :rule refl :args (@t32)) % 0.38/0.58 (step @p8 :rule refl :args (@t35)) % 0.38/0.58 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t44)) % 0.38/0.58 (step @p10 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.38/0.58 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.58 (step @p12 :rule symm :premises (@p11)) % 0.38/0.58 (step @p13 :rule cong :premises (@p12) :args ((forall @t20 @t47))) % 0.38/0.58 (step @p14 :rule trans :premises (@p13 @p5)) % 0.38/0.58 (step @p15 :rule trans :premises (@p14 @p4)) % 0.38/0.58 (step @p16 :rule aci_norm :args ((= (or (or @t35 @t32) @t46) @t47))) % 0.38/0.58 (step @p17 :rule refl :args (@t46)) % 0.38/0.58 (step @p18 :rule bool-and-de-morgan :args (@t34 @t31 true)) % 0.38/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t48) @t46))) % 0.38/0.58 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.58 (step @p21 :rule bool-impl-elim :args (@t48 @t46)) % 0.38/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args ((forall @t20 (=> @t48 @t46)))) % 0.38/0.58 (step @p24 :rule trans :premises (@p23 @p15)) % 0.38/0.58 (step @p25 :rule refl :args (@t45)) % 0.38/0.58 (step @p26 :rule refl :args (@t4)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t4 @t45))) % 0.38/0.58 (step @p28 :rule symm :premises (@p27)) % 0.38/0.58 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.38/0.58 (step @p30 :rule refl :args (@t29)) % 0.38/0.58 (step @p31 :rule refl :args (@t6)) % 0.38/0.58 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t6 @t29))) % 0.38/0.58 (step @p33 :rule symm :premises (@p32)) % 0.38/0.58 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t49)) % 0.38/0.58 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t50)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 @t50))) % 0.38/0.58 (step @p38 :rule bool-impl-elim :args (@t6 @t4)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38) :args (@t8)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p37)) % 0.38/0.58 (step @p41 :rule refl :args (@t27)) % 0.38/0.58 (step @p42 :rule refl :args (@t10)) % 0.38/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t10 @t27))) % 0.38/0.58 (step @p44 :rule symm :premises (@p43)) % 0.38/0.58 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.38/0.58 (step @p46 :rule refl :args (@t28)) % 0.38/0.58 (step @p47 :rule refl :args (@t12)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t12 @t28))) % 0.38/0.58 (step @p49 :rule symm :premises (@p48)) % 0.38/0.58 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t51)) % 0.38/0.58 (step @p52 :rule nary_cong :premises (@p35 @p51 @p45) :args (@t52)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52) :args ((forall @t14 @t52))) % 0.38/0.58 (step @p54 :rule aci_norm :args ((= (or (or @t49 @t51) @t10) @t52))) % 0.38/0.58 (step @p55 :rule bool-and-de-morgan :args (@t6 @t12 true)) % 0.38/0.58 (step @p56 :rule nary_cong :premises (@p55 @p42) :args ((or (not @t13) @t10))) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p54)) % 0.38/0.58 (step @p58 :rule bool-impl-elim :args (@t13 @t10)) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.58 (step @p60 :rule cong :premises (@p59) :args (@t15)) % 0.38/0.58 (step @p61 :rule trans :premises (@p60 @p53)) % 0.38/0.58 (step @p62 :rule refl :args (@t33)) % 0.38/0.58 (step @p63 :rule refl :args (@t16)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t16 @t33))) % 0.38/0.58 (step @p65 :rule symm :premises (@p64)) % 0.38/0.58 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.38/0.58 (step @p67 :rule nary_cong :premises (@p35 @p66) :args (@t53)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 @t53))) % 0.38/0.58 (step @p69 :rule bool-impl-elim :args (@t6 @t16)) % 0.38/0.58 (step @p70 :rule cong :premises (@p69) :args (@t17)) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p68)) % 0.38/0.58 (step @p72 :rule nary_cong :premises (@p71 @p61) :args (@t18)) % 0.38/0.58 (step @p73 :rule cong :premises (@p72 @p40) :args (@t19)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73) :args (@t21)) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p24)) % 0.38/0.58 (step @p76 :rule cong :premises (@p75) :args (@t22)) % 0.38/0.58 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 0.38/0.58 (step @p78 :rule skolemize :premises (@p77)) % 0.38/0.58 (step @p79 :rule bool-double-not-elim :args (@t57)) % 0.38/0.58 (step @p80 :rule refl :args (@t66)) % 0.38/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t66 (not @t63)))) % 0.38/0.58 (step @p82 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.58 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.38/0.58 (step @p84 :rule reordering :premises (@p83) :args ((or @t57 @t66))) % 0.38/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p78) :args (@t57 @t67 @t68)) % 0.38/0.58 (step @p86 :rule bool-double-not-elim :args (@t64)) % 0.38/0.58 (step @p87 :rule nary_cong :premises (@p80 @p86) :args ((or @t66 (not @t65)))) % 0.38/0.58 (step @p88 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.58 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.38/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t64 @t66))) % 0.38/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p78) :args (@t64 @t67 @t68)) % 0.38/0.58 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t58 @t60))) % 0.38/0.58 (step @p93 :rule bool-double-not-elim :args (@t61)) % 0.38/0.58 (step @p94 :rule nary_cong :premises (@p80 @p93) :args ((or @t66 (not @t62)))) % 0.38/0.58 (step @p95 :rule cnf_or_neg :args (@t66 2)) % 0.38/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.38/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t61 @t66))) % 0.38/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p78) :args (@t61 @t67 @t68)) % 0.38/0.58 (step @p99 :rule cnf_or_pos :args (@t70)) % 0.38/0.58 (step @p100 :rule reordering :premises (@p99) :args ((or @t62 @t69 (not @t70)))) % 0.38/0.58 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p92) :args (@t69 (@list false false) (@list @t61 @t70))) % 0.38/0.58 (step @p102 :rule cnf_or_neg :args (@t66 3)) % 0.38/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p78) :args ((not @t59) @t67 @t68)) % 0.38/0.58 (step @p104 :rule cnf_or_pos :args (@t72)) % 0.38/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t62 @t59 @t71 @t73))) % 0.38/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p98 @p103 @p101) :args (@t73 (@list false true false) (@list @t61 @t59 @t69))) % 0.38/0.58 (assume-push @p113 @t57) % 0.38/0.58 (step @p108 :rule instantiate :premises (@p85) :args ((@list @t58 @t60 @t58))) % 0.38/0.58 (step-pop @p114 :rule scope :premises (@p108)) % 0.38/0.58 (step @p109 :rule process_scope :premises (@p114) :args (@t72)) % 0.38/0.58 (step @p111 :rule implies_elim :premises (@p109)) % 0.38/0.58 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p85) :args (false (@list true false) (@list @t72 @t57))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------