%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU508^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:51:59 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU508^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:40:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.dsetconstrER Bool) % 0.32/0.57 (declare-const tptp.dsetconstrI Bool) % 0.32/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.32/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.32/0.57 (define @t3 () (_ @t2 @t1)) % 0.32/0.57 (define @t4 () (@list @t1)) % 0.32/0.57 (define @t5 () (lambda @t4 @t3)) % 0.32/0.57 (define @t6 () (@var "A" $$unsorted)) % 0.32/0.57 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.32/0.57 (define @t8 () (_ @t7 @t5)) % 0.32/0.57 (define @t9 () (@var "Xx" $$unsorted)) % 0.32/0.57 (define @t10 () (_ tptp.in @t9)) % 0.32/0.57 (define @t11 () (_ @t10 @t8)) % 0.32/0.57 (define @t12 () (_ @t2 @t9)) % 0.32/0.57 (define @t13 () (=> @t12 @t11)) % 0.32/0.57 (define @t14 () (_ @t10 @t6)) % 0.32/0.57 (define @t15 () (@list @t6 @t2 @t9)) % 0.32/0.57 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.32/0.57 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.32/0.57 (define @t18 () (forall @t15 (=> @t11 @t12))) % 0.32/0.57 (define @t19 () (= tptp.dsetconstrER @t18)) % 0.32/0.57 (define @t20 () (=> @t14 (= @t11 @t12))) % 0.32/0.57 (define @t21 () (forall @t15 @t20)) % 0.32/0.57 (define @t22 () (=> tptp.dsetconstrER @t21)) % 0.32/0.57 (define @t23 () (=> tptp.dsetconstrI @t22)) % 0.32/0.57 (define @t24 () (not @t23)) % 0.32/0.57 (define @t25 () (tptp.in @t9 (tptp.dsetconstr @t6 @t2))) % 0.32/0.57 (define @t26 () (_ @t2 @t9)) % 0.32/0.57 (define @t27 () (tptp.in @t9 @t6)) % 0.32/0.57 (define @t28 () (not @t27)) % 0.32/0.57 (define @t29 () (forall @t15 (or @t28 (= @t26 @t25)))) % 0.32/0.57 (define @t30 () (_ @t2 @t1)) % 0.32/0.57 (define @t31 () (lambda @t4 @t30)) % 0.32/0.57 (define @t32 () (tptp.dsetconstr @t6 @t31)) % 0.32/0.57 (define @t33 () (tptp.in @t9 @t32)) % 0.32/0.57 (define @t34 () (not @t33)) % 0.32/0.57 (define @t35 () (or @t34 @t26)) % 0.32/0.57 (define @t36 () (not @t11)) % 0.32/0.57 (define @t37 () (or @t36 @t12)) % 0.32/0.57 (define @t38 () (=> tptp.dsetconstrER @t29)) % 0.32/0.57 (define @t39 () (not @t26)) % 0.32/0.57 (define @t40 () (or @t28 @t39 @t33)) % 0.32/0.57 (define @t41 () (not @t12)) % 0.32/0.57 (define @t42 () (not @t14)) % 0.32/0.57 (define @t43 () (or @t42 @t41 @t11)) % 0.32/0.57 (define @t44 () (=> tptp.dsetconstrI @t38)) % 0.32/0.57 (define @t45 () (= @t26 @t33)) % 0.32/0.57 (define @t46 () (or @t28 @t45)) % 0.32/0.57 (define @t47 () (= @t12 @t11)) % 0.32/0.57 (define @t48 () (or @t42 @t47)) % 0.32/0.57 (define @t49 () (@quantifiers_skolemize @t29 1)) % 0.32/0.57 (define @t50 () (@quantifiers_skolemize @t29 0)) % 0.32/0.57 (define @t51 () (@quantifiers_skolemize @t29 2)) % 0.32/0.57 (define @t52 () (tptp.in @t51 (tptp.dsetconstr @t50 @t49))) % 0.32/0.57 (define @t53 () (_ @t49 @t51)) % 0.32/0.57 (define @t54 () (= @t53 @t52)) % 0.32/0.57 (define @t55 () (tptp.in @t51 @t50)) % 0.32/0.57 (define @t56 () (not @t55)) % 0.32/0.57 (define @t57 () (or @t56 @t54)) % 0.32/0.57 (define @t58 () (@list true)) % 0.32/0.57 (define @t59 () (@list @t57)) % 0.32/0.57 (define @t60 () (@list @t50 @t49 @t51)) % 0.32/0.57 (define @t61 () (not @t53)) % 0.32/0.57 (define @t62 () (or @t56 @t61 @t52)) % 0.32/0.57 (define @t63 () (not @t52)) % 0.32/0.57 (define @t64 () (or @t63 @t53)) % 0.32/0.57 (define @t65 () (not @t64)) % 0.32/0.57 (define @t66 () (@list true false)) % 0.32/0.57 (define @t67 () (forall @t15 (or (not @t25) @t26))) % 0.32/0.57 (assume @p1 @t17) % 0.32/0.57 (assume @p2 @t19) % 0.32/0.57 (assume @p3 @t24) % 0.32/0.57 (assume @p4 true) % 0.32/0.57 (step @p5 :rule refl :args (@t29)) % 0.32/0.57 (step @p6 :rule refl :args (@t26)) % 0.32/0.57 (step @p7 :rule lambda-elim :args ((= @t31 @t2))) % 0.32/0.57 (step @p8 :rule refl :args (@t6)) % 0.32/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t32)) % 0.32/0.57 (step @p10 :rule refl :args (@t9)) % 0.32/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args (@t33)) % 0.32/0.57 (step @p12 :rule cong :premises (@p11) :args (@t34)) % 0.32/0.57 (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t35)) % 0.32/0.57 (step @p14 :rule cong :premises (@p13) :args ((forall @t15 @t35))) % 0.32/0.57 (step @p15 :rule refl :args (@t26)) % 0.32/0.57 (step @p16 :rule refl :args (@t12)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t12 @t26))) % 0.32/0.57 (step @p18 :rule symm :premises (@p17)) % 0.32/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.32/0.57 (step @p20 :rule refl :args ((tptp.in @t9 @t8))) % 0.32/0.57 (step @p21 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 0.32/0.57 (step @p22 :rule refl :args (@t30)) % 0.32/0.57 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.32/0.57 (step @p24 :rule refl :args (@t6)) % 0.32/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t32)) % 0.32/0.57 (step @p26 :rule trans :premises (@p25 @p21)) % 0.32/0.57 (step @p27 :rule refl :args (@t9)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27 @p26) :args (@t33)) % 0.32/0.57 (step @p29 :rule trans :premises (@p28 @p20)) % 0.32/0.57 (step @p30 :rule refl :args (@t10)) % 0.32/0.57 (step @p31 :rule ho_cong :premises (@p30 @p26)) % 0.32/0.57 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t10 @t32) @t33))) % 0.32/0.57 (step @p33 :rule symm :premises (@p32)) % 0.32/0.57 (step @p34 :rule refl :args (@t11)) % 0.32/0.57 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.32/0.57 (step @p36 :rule refl :args (@t7)) % 0.32/0.57 (step @p37 :rule ho_cong :premises (@p36 @p23)) % 0.32/0.57 (step @p38 :rule cong :premises (@p37 @p26) :args ((= (_ @t7 @t31) @t32))) % 0.32/0.57 (step @p39 :rule symm :premises (@p38)) % 0.32/0.57 (step @p40 :rule refl :args (@t8)) % 0.32/0.57 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.32/0.57 (step @p42 :rule refl :args (@t3)) % 0.32/0.57 (step @p43 :rule cong :premises (@p42 @p22) :args ((= @t3 @t30))) % 0.32/0.57 (step @p44 :rule symm :premises (@p43)) % 0.32/0.57 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.32/0.57 (step @p46 :rule cong :premises (@p45) :args (@t5)) % 0.32/0.57 (step @p47 :rule ho_cong :premises (@p36 @p46)) % 0.32/0.57 (step @p48 :rule trans :premises (@p47 @p41)) % 0.32/0.57 (step @p49 :rule ho_cong :premises (@p30 @p48)) % 0.32/0.57 (step @p50 :rule trans :premises (@p49 @p35)) % 0.32/0.57 (step @p51 :rule cong :premises (@p50) :args (@t36)) % 0.32/0.57 (step @p52 :rule nary_cong :premises (@p51 @p19) :args (@t37)) % 0.32/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t15 @t37))) % 0.32/0.57 (step @p54 :rule trans :premises (@p53 @p14)) % 0.32/0.57 (step @p55 :rule bool-impl-elim :args (@t11 @t12)) % 0.32/0.57 (step @p56 :rule cong :premises (@p55) :args (@t18)) % 0.32/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.32/0.57 (step @p58 :rule refl :args (tptp.dsetconstrER)) % 0.32/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t19)) % 0.32/0.57 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 0.32/0.57 (step @p61 :rule cong :premises (@p60 @p5) :args (@t38)) % 0.32/0.57 (step @p62 :rule refl :args (@t39)) % 0.32/0.57 (step @p63 :rule refl :args (@t28)) % 0.32/0.57 (step @p64 :rule nary_cong :premises (@p63 @p62 @p11) :args (@t40)) % 0.32/0.57 (step @p65 :rule cong :premises (@p64) :args ((forall @t15 @t40))) % 0.32/0.57 (step @p66 :rule cong :premises (@p19) :args (@t41)) % 0.32/0.57 (step @p67 :rule refl :args (@t27)) % 0.32/0.57 (step @p68 :rule refl :args (@t14)) % 0.32/0.57 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t14 @t27))) % 0.32/0.57 (step @p70 :rule symm :premises (@p69)) % 0.32/0.57 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.32/0.57 (step @p72 :rule cong :premises (@p71) :args (@t42)) % 0.32/0.57 (step @p73 :rule nary_cong :premises (@p72 @p66 @p50) :args (@t43)) % 0.32/0.57 (step @p74 :rule cong :premises (@p73) :args ((forall @t15 @t43))) % 0.32/0.57 (step @p75 :rule trans :premises (@p74 @p65)) % 0.32/0.57 (step @p76 :rule aci_norm :args ((= (or @t42 (or @t41 @t11)) @t43))) % 0.32/0.57 (step @p77 :rule bool-impl-elim :args (@t12 @t11)) % 0.32/0.57 (step @p78 :rule refl :args (@t42)) % 0.32/0.57 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t42 @t13))) % 0.32/0.57 (step @p80 :rule trans :premises (@p79 @p76)) % 0.32/0.57 (step @p81 :rule bool-impl-elim :args (@t14 @t13)) % 0.32/0.57 (step @p82 :rule trans :premises (@p81 @p80)) % 0.32/0.57 (step @p83 :rule cong :premises (@p82) :args (@t16)) % 0.32/0.57 (step @p84 :rule trans :premises (@p83 @p75)) % 0.32/0.57 (step @p85 :rule refl :args (tptp.dsetconstrI)) % 0.32/0.57 (step @p86 :rule cong :premises (@p85 @p84) :args (@t17)) % 0.32/0.57 (step @p87 :rule eq_resolve :premises (@p1 @p86)) % 0.32/0.57 (step @p88 :rule cong :premises (@p87 @p61) :args (@t44)) % 0.32/0.57 (step @p89 :rule cong :premises (@p88) :args ((not @t44))) % 0.32/0.57 (step @p90 :rule cong :premises (@p6 @p11) :args (@t45)) % 0.32/0.57 (step @p91 :rule nary_cong :premises (@p63 @p90) :args (@t46)) % 0.32/0.57 (step @p92 :rule cong :premises (@p91) :args ((forall @t15 @t46))) % 0.32/0.57 (step @p93 :rule cong :premises (@p19 @p50) :args (@t47)) % 0.32/0.57 (step @p94 :rule nary_cong :premises (@p72 @p93) :args (@t48)) % 0.32/0.57 (step @p95 :rule cong :premises (@p94) :args ((forall @t15 @t48))) % 0.32/0.57 (step @p96 :rule trans :premises (@p95 @p92)) % 0.32/0.57 (step @p97 :rule bool-impl-elim :args (@t14 @t47)) % 0.32/0.57 (step @p98 :rule cong :premises (@p97) :args ((forall @t15 (=> @t14 @t47)))) % 0.32/0.57 (step @p99 :rule trans :premises (@p98 @p96)) % 0.32/0.57 (step @p100 :rule eq-symm :args (@t11 @t12)) % 0.32/0.57 (step @p101 :rule refl :args (@t14)) % 0.32/0.57 (step @p102 :rule cong :premises (@p101 @p100) :args (@t20)) % 0.32/0.57 (step @p103 :rule cong :premises (@p102) :args (@t21)) % 0.32/0.57 (step @p104 :rule trans :premises (@p103 @p99)) % 0.32/0.57 (step @p105 :rule cong :premises (@p58 @p104) :args (@t22)) % 0.32/0.57 (step @p106 :rule cong :premises (@p85 @p105) :args (@t23)) % 0.32/0.57 (step @p107 :rule cong :premises (@p106) :args (@t24)) % 0.39/0.57 (step @p108 :rule trans :premises (@p107 @p89)) % 0.39/0.57 (step @p109 :rule eq_resolve :premises (@p3 @p108)) % 0.39/0.57 (step @p110 :rule not_implies_elim2 :premises (@p109)) % 0.39/0.57 (step @p111 :rule not_implies_elim1 :premises (@p110)) % 0.39/0.57 (step @p112 :rule not_implies_elim2 :premises (@p110)) % 0.39/0.57 (step @p113 :rule skolemize :premises (@p112)) % 0.39/0.57 (step @p114 :rule cnf_or_neg :args (@t57 1)) % 0.39/0.57 (step @p115 :rule chain_m_resolution :premises (@p114 @p113) :args ((not @t54) @t58 @t59)) % 0.39/0.57 (step @p116 :rule cnf_equiv_neg2 :args (@t54)) % 0.39/0.57 (step @p117 :rule bool-double-not-elim :args (@t55)) % 0.39/0.57 (step @p118 :rule refl :args (@t57)) % 0.39/0.57 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t57 (not @t56)))) % 0.39/0.57 (step @p120 :rule cnf_or_neg :args (@t57 0)) % 0.39/0.57 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.39/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t55 @t57))) % 0.39/0.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p113) :args (@t55 @t58 @t59)) % 0.39/0.57 (step @p124 :rule not_implies_elim1 :premises (@p109)) % 0.39/0.57 (step @p125 :rule instantiate :premises (@p124) :args (@t60)) % 0.39/0.57 (step @p126 :rule cnf_or_pos :args (@t62)) % 0.39/0.57 (step @p127 :rule reordering :premises (@p126) :args ((or @t56 @t52 @t61 (not @t62)))) % 0.39/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p123 @p116 @p115) :args (@t61 (@list false false true true) (@list @t62 @t55 @t52 @t54))) % 0.39/0.57 (step @p129 :rule cnf_equiv_neg1 :args (@t54)) % 0.39/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t53 @t52 @t54))) % 0.39/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p115) :args (@t52 (@list true true) (@list @t53 @t54))) % 0.39/0.57 (step @p132 :rule cnf_or_pos :args (@t64)) % 0.39/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t53 @t63 @t65))) % 0.39/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p128 @p131) :args (@t65 @t66 (@list @t53 @t52))) % 0.39/0.57 (assume-push @p141 @t67) % 0.39/0.57 (step @p136 :rule instantiate :premises (@p111) :args (@t60)) % 0.39/0.57 (step-pop @p142 :rule scope :premises (@p136)) % 0.39/0.57 (step @p137 :rule process_scope :premises (@p142) :args (@t64)) % 0.39/0.57 (step @p139 :rule implies_elim :premises (@p137)) % 0.39/0.57 (step @p140 false :rule chain_m_resolution :premises (@p139 @p134 @p111) :args (false @t66 (@list @t64 @t67))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------