%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU576^2 : 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 : n004.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 08:52:16 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU576^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:42:07 EDT 2026 % 0.17/0.34 % CPUTime : % 0.25/0.48 %----Proving TH0 % 0.37/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.subsetE Bool) % 0.37/0.55 (declare-const tptp.powersetI Bool) % 0.37/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.55 (define @t2 () (_ tptp.powerset @t1)) % 0.37/0.55 (define @t3 () (@var "B" $$unsorted)) % 0.37/0.55 (define @t4 () (_ tptp.in @t3)) % 0.37/0.55 (define @t5 () (_ @t4 @t2)) % 0.37/0.55 (define @t6 () (@var "Xx" $$unsorted)) % 0.37/0.55 (define @t7 () (_ tptp.in @t6)) % 0.37/0.55 (define @t8 () (_ @t7 @t1)) % 0.37/0.55 (define @t9 () (_ @t7 @t3)) % 0.37/0.55 (define @t10 () (@list @t6)) % 0.37/0.55 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.37/0.55 (define @t12 () (=> @t11 @t5)) % 0.37/0.55 (define @t13 () (@list @t1 @t3)) % 0.37/0.55 (define @t14 () (forall @t13 @t12)) % 0.37/0.55 (define @t15 () (= tptp.powersetI @t14)) % 0.37/0.55 (define @t16 () (=> @t8 @t9)) % 0.37/0.55 (define @t17 () (_ (_ tptp.subset @t1) @t3)) % 0.37/0.55 (define @t18 () (@list @t1 @t3 @t6)) % 0.37/0.55 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.37/0.55 (define @t20 () (= tptp.subsetE @t19)) % 0.37/0.55 (define @t21 () (_ (_ tptp.subset @t3) @t1)) % 0.37/0.55 (define @t22 () (forall @t13 (=> @t21 @t5))) % 0.37/0.55 (define @t23 () (=> tptp.subsetE @t22)) % 0.37/0.55 (define @t24 () (=> tptp.powersetI @t23)) % 0.37/0.55 (define @t25 () (not @t24)) % 0.37/0.55 (define @t26 () (tptp.powerset @t1)) % 0.37/0.55 (define @t27 () (tptp.in @t3 @t26)) % 0.37/0.55 (define @t28 () (tptp.subset @t3 @t1)) % 0.37/0.55 (define @t29 () (forall @t13 (or (not @t28) @t27))) % 0.37/0.55 (define @t30 () (tptp.in @t6 @t3)) % 0.37/0.55 (define @t31 () (tptp.in @t6 @t1)) % 0.37/0.55 (define @t32 () (not @t8)) % 0.37/0.55 (define @t33 () (tptp.subset @t1 @t3)) % 0.37/0.55 (define @t34 () (not @t17)) % 0.37/0.55 (define @t35 () (or @t34 @t32 @t9)) % 0.37/0.55 (define @t36 () (=> tptp.subsetE @t29)) % 0.37/0.55 (define @t37 () (forall @t10 (or (not @t30) @t31))) % 0.37/0.55 (define @t38 () (not @t37)) % 0.37/0.55 (define @t39 () (or @t38 @t5)) % 0.37/0.55 (define @t40 () (not @t9)) % 0.37/0.55 (define @t41 () (or @t40 @t8)) % 0.37/0.55 (define @t42 () (=> tptp.powersetI @t36)) % 0.37/0.55 (define @t43 () (not @t21)) % 0.37/0.55 (define @t44 () (or @t43 @t5)) % 0.37/0.55 (define @t45 () (@quantifiers_skolemize @t29 1)) % 0.37/0.55 (define @t46 () (@quantifiers_skolemize @t29 0)) % 0.37/0.55 (define @t47 () (tptp.in @t45 (tptp.powerset @t46))) % 0.37/0.55 (define @t48 () (tptp.subset @t45 @t46)) % 0.37/0.55 (define @t49 () (not @t48)) % 0.37/0.55 (define @t50 () (or @t49 @t47)) % 0.37/0.55 (define @t51 () (@list true)) % 0.37/0.55 (define @t52 () (@list @t50)) % 0.37/0.55 (define @t53 () (forall @t10 (or (not (tptp.in @t6 @t45)) (tptp.in @t6 @t46)))) % 0.37/0.55 (define @t54 () (not @t53)) % 0.37/0.55 (define @t55 () (or @t54 @t47)) % 0.37/0.55 (define @t56 () (@list true false)) % 0.37/0.55 (define @t57 () (@quantifiers_skolemize @t53 0)) % 0.37/0.55 (define @t58 () (tptp.in @t57 @t46)) % 0.37/0.55 (define @t59 () (tptp.in @t57 @t45)) % 0.37/0.55 (define @t60 () (not @t59)) % 0.37/0.55 (define @t61 () (or @t60 @t58)) % 0.37/0.55 (define @t62 () (@list @t61)) % 0.37/0.55 (define @t63 () (or @t49 @t60 @t58)) % 0.37/0.55 (define @t64 () (not @t63)) % 0.37/0.55 (define @t65 () (forall @t18 (or (not @t33) (not @t31) @t30))) % 0.37/0.55 (assume @p1 @t15) % 0.37/0.55 (assume @p2 @t20) % 0.37/0.55 (assume @p3 @t25) % 0.37/0.55 (assume @p4 true) % 0.37/0.55 (step @p5 :rule refl :args (@t29)) % 0.37/0.55 (step @p6 :rule refl :args (@t30)) % 0.37/0.55 (step @p7 :rule refl :args (@t9)) % 0.37/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t9 @t30))) % 0.37/0.55 (step @p9 :rule symm :premises (@p8)) % 0.37/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.37/0.55 (step @p11 :rule refl :args (@t31)) % 0.37/0.55 (step @p12 :rule refl :args (@t8)) % 0.37/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t8 @t31))) % 0.37/0.55 (step @p14 :rule symm :premises (@p13)) % 0.37/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.37/0.55 (step @p16 :rule cong :premises (@p15) :args (@t32)) % 0.37/0.55 (step @p17 :rule refl :args (@t33)) % 0.37/0.55 (step @p18 :rule refl :args (@t17)) % 0.37/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t17 @t33))) % 0.37/0.55 (step @p20 :rule symm :premises (@p19)) % 0.37/0.55 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.55 (step @p22 :rule cong :premises (@p21) :args (@t34)) % 0.37/0.55 (step @p23 :rule nary_cong :premises (@p22 @p16 @p10) :args (@t35)) % 0.37/0.55 (step @p24 :rule cong :premises (@p23) :args ((forall @t18 @t35))) % 0.37/0.55 (step @p25 :rule aci_norm :args ((= (or @t34 (or @t32 @t9)) @t35))) % 0.37/0.55 (step @p26 :rule bool-impl-elim :args (@t8 @t9)) % 0.37/0.55 (step @p27 :rule refl :args (@t34)) % 0.37/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t34 @t16))) % 0.37/0.55 (step @p29 :rule trans :premises (@p28 @p25)) % 0.37/0.55 (step @p30 :rule bool-impl-elim :args (@t17 @t16)) % 0.37/0.55 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.55 (step @p32 :rule cong :premises (@p31) :args (@t19)) % 0.37/0.55 (step @p33 :rule trans :premises (@p32 @p24)) % 0.37/0.55 (step @p34 :rule refl :args (tptp.subsetE)) % 0.37/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args (@t20)) % 0.37/0.55 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.37/0.55 (step @p37 :rule cong :premises (@p36 @p5) :args (@t36)) % 0.37/0.55 (step @p38 :rule refl :args ((tptp.in @t3 @t2))) % 0.37/0.55 (step @p39 :rule refl :args (@t26)) % 0.37/0.55 (step @p40 :rule refl :args (@t3)) % 0.37/0.55 (step @p41 :rule cong :premises (@p40 @p39) :args (@t27)) % 0.37/0.55 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.55 (step @p43 :rule refl :args (@t4)) % 0.37/0.55 (step @p44 :rule ho_cong :premises (@p43 @p39)) % 0.37/0.55 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t4 @t26) @t27))) % 0.37/0.55 (step @p46 :rule symm :premises (@p45)) % 0.37/0.55 (step @p47 :rule refl :args (@t5)) % 0.37/0.55 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.37/0.55 (step @p49 :rule refl :args (@t2)) % 0.37/0.55 (step @p50 :rule cong :premises (@p49 @p39) :args ((= @t2 @t26))) % 0.37/0.55 (step @p51 :rule symm :premises (@p50)) % 0.37/0.55 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.37/0.55 (step @p53 :rule ho_cong :premises (@p43 @p52)) % 0.37/0.55 (step @p54 :rule trans :premises (@p53 @p48)) % 0.37/0.55 (step @p55 :rule refl :args (@t38)) % 0.37/0.55 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t39)) % 0.37/0.55 (step @p57 :rule cong :premises (@p56) :args ((forall @t13 @t39))) % 0.37/0.55 (step @p58 :rule bool-impl-elim :args (@t37 @t5)) % 0.37/0.55 (step @p59 :rule cong :premises (@p58) :args ((forall @t13 (=> @t37 @t5)))) % 0.37/0.55 (step @p60 :rule trans :premises (@p59 @p57)) % 0.37/0.55 (step @p61 :rule refl :args (@t5)) % 0.37/0.55 (step @p62 :rule cong :premises (@p10) :args (@t40)) % 0.37/0.55 (step @p63 :rule nary_cong :premises (@p62 @p15) :args (@t41)) % 0.37/0.55 (step @p64 :rule cong :premises (@p63) :args ((forall @t10 @t41))) % 0.37/0.55 (step @p65 :rule bool-impl-elim :args (@t9 @t8)) % 0.37/0.55 (step @p66 :rule cong :premises (@p65) :args (@t11)) % 0.37/0.55 (step @p67 :rule trans :premises (@p66 @p64)) % 0.37/0.55 (step @p68 :rule cong :premises (@p67 @p61) :args (@t12)) % 0.37/0.55 (step @p69 :rule cong :premises (@p68) :args (@t14)) % 0.37/0.55 (step @p70 :rule trans :premises (@p69 @p60)) % 0.37/0.55 (step @p71 :rule refl :args (tptp.powersetI)) % 0.37/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args (@t15)) % 0.37/0.55 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.37/0.55 (step @p74 :rule cong :premises (@p73 @p37) :args (@t42)) % 0.37/0.55 (step @p75 :rule cong :premises (@p74) :args ((not @t42))) % 0.37/0.55 (step @p76 :rule refl :args (@t28)) % 0.37/0.55 (step @p77 :rule refl :args (@t21)) % 0.37/0.55 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t21 @t28))) % 0.37/0.55 (step @p79 :rule symm :premises (@p78)) % 0.37/0.55 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.37/0.55 (step @p81 :rule cong :premises (@p80) :args (@t43)) % 0.37/0.55 (step @p82 :rule nary_cong :premises (@p81 @p54) :args (@t44)) % 0.37/0.55 (step @p83 :rule cong :premises (@p82) :args ((forall @t13 @t44))) % 0.37/0.55 (step @p84 :rule bool-impl-elim :args (@t21 @t5)) % 0.37/0.55 (step @p85 :rule cong :premises (@p84) :args (@t22)) % 0.37/0.55 (step @p86 :rule trans :premises (@p85 @p83)) % 0.37/0.55 (step @p87 :rule cong :premises (@p34 @p86) :args (@t23)) % 0.37/0.55 (step @p88 :rule cong :premises (@p71 @p87) :args (@t24)) % 0.37/0.55 (step @p89 :rule cong :premises (@p88) :args (@t25)) % 0.37/0.55 (step @p90 :rule trans :premises (@p89 @p75)) % 0.37/0.55 (step @p91 :rule eq_resolve :premises (@p3 @p90)) % 0.37/0.55 (step @p92 :rule not_implies_elim2 :premises (@p91)) % 0.37/0.55 (step @p93 :rule not_implies_elim1 :premises (@p92)) % 0.37/0.55 (step @p94 :rule not_implies_elim1 :premises (@p91)) % 0.37/0.55 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t46 @t45))) % 0.37/0.55 (step @p96 :rule not_implies_elim2 :premises (@p92)) % 0.37/0.55 (step @p97 :rule skolemize :premises (@p96)) % 0.37/0.55 (step @p98 :rule cnf_or_neg :args (@t50 1)) % 0.37/0.55 (step @p99 :rule chain_m_resolution :premises (@p98 @p97) :args ((not @t47) @t51 @t52)) % 0.37/0.55 (step @p100 :rule cnf_or_pos :args (@t55)) % 0.37/0.55 (step @p101 :rule reordering :premises (@p100) :args ((or @t47 @t54 (not @t55)))) % 0.37/0.55 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p95) :args (@t54 @t56 (@list @t47 @t55))) % 0.37/0.55 (step @p103 :rule skolemize :premises (@p102)) % 0.37/0.55 (step @p104 :rule cnf_or_neg :args (@t61 1)) % 0.37/0.55 (step @p105 :rule chain_m_resolution :premises (@p104 @p103) :args ((not @t58) @t51 @t62)) % 0.37/0.56 (step @p106 :rule bool-double-not-elim :args (@t59)) % 0.37/0.56 (step @p107 :rule refl :args (@t61)) % 0.37/0.56 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t61 (not @t60)))) % 0.37/0.56 (step @p109 :rule cnf_or_neg :args (@t61 0)) % 0.37/0.56 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.37/0.56 (step @p111 :rule reordering :premises (@p110) :args ((or @t59 @t61))) % 0.37/0.56 (step @p112 :rule chain_m_resolution :premises (@p111 @p103) :args (@t59 @t51 @t62)) % 0.37/0.56 (step @p113 :rule bool-double-not-elim :args (@t48)) % 0.37/0.56 (step @p114 :rule refl :args (@t50)) % 0.37/0.56 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t50 (not @t49)))) % 0.37/0.56 (step @p116 :rule cnf_or_neg :args (@t50 0)) % 0.37/0.56 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.37/0.56 (step @p118 :rule reordering :premises (@p117) :args ((or @t48 @t50))) % 0.37/0.56 (step @p119 :rule chain_m_resolution :premises (@p118 @p97) :args (@t48 @t51 @t52)) % 0.37/0.56 (step @p120 :rule cnf_or_pos :args (@t63)) % 0.37/0.56 (step @p121 :rule reordering :premises (@p120) :args ((or @t49 @t60 @t58 @t64))) % 0.37/0.56 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p112 @p105) :args (@t64 (@list false false true) (@list @t48 @t59 @t58))) % 0.37/0.56 (assume-push @p129 @t65) % 0.37/0.56 (step @p124 :rule instantiate :premises (@p93) :args ((@list @t45 @t46 @t57))) % 0.37/0.56 (step-pop @p130 :rule scope :premises (@p124)) % 0.37/0.56 (step @p125 :rule process_scope :premises (@p130) :args (@t63)) % 0.37/0.56 (step @p127 :rule implies_elim :premises (@p125)) % 0.37/0.56 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p93) :args (false @t56 (@list @t63 @t65))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------