%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU714^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:52:51 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU714^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n001.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 17:49:35 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.36/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.setminusEL Bool) % 0.36/0.58 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.powersetI Bool) % 0.36/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.58 (define @t2 () (_ tptp.powerset @t1)) % 0.36/0.58 (define @t3 () (@var "B" $$unsorted)) % 0.36/0.58 (define @t4 () (_ tptp.in @t3)) % 0.36/0.58 (define @t5 () (_ @t4 @t2)) % 0.36/0.58 (define @t6 () (@var "Xx" $$unsorted)) % 0.36/0.58 (define @t7 () (_ tptp.in @t6)) % 0.36/0.58 (define @t8 () (_ @t7 @t1)) % 0.36/0.58 (define @t9 () (_ @t7 @t3)) % 0.36/0.58 (define @t10 () (@list @t6)) % 0.36/0.58 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.36/0.58 (define @t12 () (=> @t11 @t5)) % 0.36/0.58 (define @t13 () (@list @t1 @t3)) % 0.36/0.58 (define @t14 () (forall @t13 @t12)) % 0.36/0.58 (define @t15 () (= tptp.powersetI @t14)) % 0.36/0.58 (define @t16 () (_ tptp.setminus @t1)) % 0.36/0.58 (define @t17 () (_ @t16 @t3)) % 0.36/0.58 (define @t18 () (_ @t7 @t17)) % 0.36/0.58 (define @t19 () (@list @t1 @t3 @t6)) % 0.36/0.58 (define @t20 () (forall @t19 (=> @t18 @t8))) % 0.36/0.58 (define @t21 () (= tptp.setminusEL @t20)) % 0.36/0.58 (define @t22 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t23 () (_ @t16 @t22)) % 0.36/0.58 (define @t24 () (_ (_ tptp.in @t23) @t2)) % 0.36/0.58 (define @t25 () (_ tptp.in @t22)) % 0.36/0.58 (define @t26 () (_ @t25 @t2)) % 0.36/0.58 (define @t27 () (@list @t1 @t22)) % 0.36/0.58 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.36/0.58 (define @t29 () (=> tptp.setminusEL @t28)) % 0.36/0.58 (define @t30 () (=> tptp.powersetI @t29)) % 0.36/0.58 (define @t31 () (not @t30)) % 0.36/0.58 (define @t32 () (tptp.powerset @t1)) % 0.36/0.58 (define @t33 () (tptp.setminus @t1 @t22)) % 0.36/0.58 (define @t34 () (tptp.in @t33 @t32)) % 0.36/0.58 (define @t35 () (tptp.in @t22 @t32)) % 0.36/0.58 (define @t36 () (forall @t27 (or (not @t35) @t34))) % 0.36/0.58 (define @t37 () (tptp.in @t6 @t1)) % 0.36/0.58 (define @t38 () (tptp.setminus @t1 @t3)) % 0.36/0.58 (define @t39 () (tptp.in @t6 @t38)) % 0.36/0.58 (define @t40 () (not @t18)) % 0.36/0.58 (define @t41 () (or @t40 @t8)) % 0.36/0.58 (define @t42 () (=> tptp.setminusEL @t36)) % 0.36/0.58 (define @t43 () (tptp.in @t3 @t32)) % 0.36/0.58 (define @t44 () (tptp.in @t6 @t3)) % 0.36/0.58 (define @t45 () (forall @t10 (or (not @t44) @t37))) % 0.36/0.58 (define @t46 () (not @t45)) % 0.36/0.58 (define @t47 () (or @t46 @t5)) % 0.36/0.58 (define @t48 () (not @t9)) % 0.36/0.58 (define @t49 () (or @t48 @t8)) % 0.36/0.58 (define @t50 () (=> tptp.powersetI @t42)) % 0.36/0.58 (define @t51 () (not @t26)) % 0.36/0.58 (define @t52 () (or @t51 @t24)) % 0.36/0.58 (define @t53 () (@quantifiers_skolemize @t36 1)) % 0.36/0.58 (define @t54 () (@quantifiers_skolemize @t36 0)) % 0.36/0.58 (define @t55 () (tptp.setminus @t54 @t53)) % 0.36/0.58 (define @t56 () (tptp.powerset @t54)) % 0.36/0.58 (define @t57 () (tptp.in @t55 @t56)) % 0.36/0.58 (define @t58 () (or (not (tptp.in @t53 @t56)) @t57)) % 0.36/0.58 (define @t59 () (forall @t10 (or (not (tptp.in @t6 @t55)) (tptp.in @t6 @t54)))) % 0.36/0.58 (define @t60 () (not @t59)) % 0.36/0.58 (define @t61 () (or @t60 @t57)) % 0.36/0.58 (define @t62 () (@list true false)) % 0.36/0.58 (define @t63 () (forall @t19 (or (not @t39) @t37))) % 0.36/0.58 (define @t64 () (@quantifiers_skolemize @t59 0)) % 0.36/0.58 (define @t65 () (or (not (tptp.in @t64 @t55)) (tptp.in @t64 @t54))) % 0.36/0.58 (assume @p1 @t15) % 0.36/0.58 (assume @p2 @t21) % 0.36/0.58 (assume @p3 @t31) % 0.36/0.58 (assume @p4 true) % 0.36/0.58 (step @p5 :rule refl :args (@t36)) % 0.36/0.58 (step @p6 :rule refl :args (@t37)) % 0.36/0.58 (step @p7 :rule refl :args (@t8)) % 0.36/0.58 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t8 @t37))) % 0.36/0.58 (step @p9 :rule symm :premises (@p8)) % 0.36/0.58 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.36/0.58 (step @p11 :rule refl :args ((tptp.in @t6 @t17))) % 0.36/0.58 (step @p12 :rule refl :args (@t38)) % 0.36/0.58 (step @p13 :rule refl :args (@t6)) % 0.36/0.58 (step @p14 :rule cong :premises (@p13 @p12) :args (@t39)) % 0.36/0.58 (step @p15 :rule trans :premises (@p14 @p11)) % 0.36/0.58 (step @p16 :rule refl :args (@t7)) % 0.36/0.58 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.36/0.58 (step @p18 :rule cong :premises (@p17 @p15) :args ((= (_ @t7 @t38) @t39))) % 0.36/0.58 (step @p19 :rule symm :premises (@p18)) % 0.36/0.58 (step @p20 :rule refl :args (@t18)) % 0.36/0.58 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.36/0.58 (step @p22 :rule refl :args (@t17)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22 @p12) :args ((= @t17 @t38))) % 0.36/0.58 (step @p24 :rule symm :premises (@p23)) % 0.36/0.58 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.36/0.58 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.36/0.58 (step @p27 :rule trans :premises (@p26 @p21)) % 0.36/0.58 (step @p28 :rule cong :premises (@p27) :args (@t40)) % 0.36/0.58 (step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t41)) % 0.36/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t19 @t41))) % 0.36/0.58 (step @p31 :rule bool-impl-elim :args (@t18 @t8)) % 0.36/0.58 (step @p32 :rule cong :premises (@p31) :args (@t20)) % 0.36/0.58 (step @p33 :rule trans :premises (@p32 @p30)) % 0.36/0.58 (step @p34 :rule refl :args (tptp.setminusEL)) % 0.36/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args (@t21)) % 0.36/0.58 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.36/0.58 (step @p37 :rule cong :premises (@p36 @p5) :args (@t42)) % 0.36/0.58 (step @p38 :rule refl :args ((tptp.in @t3 @t2))) % 0.36/0.58 (step @p39 :rule refl :args (@t32)) % 0.36/0.58 (step @p40 :rule refl :args (@t3)) % 0.36/0.58 (step @p41 :rule cong :premises (@p40 @p39) :args (@t43)) % 0.36/0.58 (step @p42 :rule trans :premises (@p41 @p38)) % 0.36/0.58 (step @p43 :rule refl :args (@t4)) % 0.36/0.58 (step @p44 :rule ho_cong :premises (@p43 @p39)) % 0.36/0.58 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t4 @t32) @t43))) % 0.36/0.58 (step @p46 :rule symm :premises (@p45)) % 0.36/0.58 (step @p47 :rule refl :args (@t5)) % 0.36/0.58 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.36/0.58 (step @p49 :rule refl :args (@t2)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49 @p39) :args ((= @t2 @t32))) % 0.36/0.58 (step @p51 :rule symm :premises (@p50)) % 0.36/0.58 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.36/0.58 (step @p53 :rule ho_cong :premises (@p43 @p52)) % 0.36/0.58 (step @p54 :rule trans :premises (@p53 @p48)) % 0.36/0.58 (step @p55 :rule refl :args (@t46)) % 0.36/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t47)) % 0.36/0.58 (step @p57 :rule cong :premises (@p56) :args ((forall @t13 @t47))) % 0.36/0.58 (step @p58 :rule bool-impl-elim :args (@t45 @t5)) % 0.36/0.58 (step @p59 :rule cong :premises (@p58) :args ((forall @t13 (=> @t45 @t5)))) % 0.36/0.58 (step @p60 :rule trans :premises (@p59 @p57)) % 0.36/0.58 (step @p61 :rule refl :args (@t5)) % 0.36/0.58 (step @p62 :rule refl :args (@t44)) % 0.36/0.58 (step @p63 :rule refl :args (@t9)) % 0.36/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t9 @t44))) % 0.36/0.58 (step @p65 :rule symm :premises (@p64)) % 0.36/0.58 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.36/0.58 (step @p67 :rule cong :premises (@p66) :args (@t48)) % 0.36/0.58 (step @p68 :rule nary_cong :premises (@p67 @p10) :args (@t49)) % 0.36/0.58 (step @p69 :rule cong :premises (@p68) :args ((forall @t10 @t49))) % 0.36/0.58 (step @p70 :rule bool-impl-elim :args (@t9 @t8)) % 0.36/0.58 (step @p71 :rule cong :premises (@p70) :args (@t11)) % 0.36/0.58 (step @p72 :rule trans :premises (@p71 @p69)) % 0.36/0.58 (step @p73 :rule cong :premises (@p72 @p61) :args (@t12)) % 0.36/0.58 (step @p74 :rule cong :premises (@p73) :args (@t14)) % 0.36/0.58 (step @p75 :rule trans :premises (@p74 @p60)) % 0.36/0.58 (step @p76 :rule refl :args (tptp.powersetI)) % 0.36/0.58 (step @p77 :rule cong :premises (@p76 @p75) :args (@t15)) % 0.36/0.58 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.36/0.58 (step @p79 :rule cong :premises (@p78 @p37) :args (@t50)) % 0.36/0.58 (step @p80 :rule cong :premises (@p79) :args ((not @t50))) % 0.36/0.58 (step @p81 :rule refl :args ((tptp.in @t23 @t2))) % 0.36/0.58 (step @p82 :rule refl :args (@t33)) % 0.36/0.58 (step @p83 :rule cong :premises (@p82 @p39) :args (@t34)) % 0.36/0.58 (step @p84 :rule trans :premises (@p83 @p81)) % 0.36/0.58 (step @p85 :rule refl :args (tptp.in)) % 0.36/0.58 (step @p86 :rule ho_cong :premises (@p85 @p82)) % 0.36/0.58 (step @p87 :rule ho_cong :premises (@p86 @p39)) % 0.36/0.58 (step @p88 :rule cong :premises (@p87 @p84) :args ((= (_ (_ tptp.in @t33) @t32) @t34))) % 0.36/0.58 (step @p89 :rule symm :premises (@p88)) % 0.36/0.58 (step @p90 :rule refl :args (@t24)) % 0.36/0.58 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.36/0.58 (step @p92 :rule refl :args (@t23)) % 0.36/0.58 (step @p93 :rule cong :premises (@p92 @p82) :args ((= @t23 @t33))) % 0.36/0.58 (step @p94 :rule symm :premises (@p93)) % 0.36/0.58 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.36/0.58 (step @p96 :rule ho_cong :premises (@p85 @p95)) % 0.36/0.58 (step @p97 :rule ho_cong :premises (@p96 @p52)) % 0.36/0.58 (step @p98 :rule trans :premises (@p97 @p91)) % 0.36/0.58 (step @p99 :rule refl :args ((tptp.in @t22 @t2))) % 0.36/0.58 (step @p100 :rule refl :args (@t22)) % 0.36/0.58 (step @p101 :rule cong :premises (@p100 @p39) :args (@t35)) % 0.36/0.58 (step @p102 :rule trans :premises (@p101 @p99)) % 0.36/0.58 (step @p103 :rule refl :args (@t25)) % 0.36/0.58 (step @p104 :rule ho_cong :premises (@p103 @p39)) % 0.36/0.58 (step @p105 :rule cong :premises (@p104 @p102) :args ((= (_ @t25 @t32) @t35))) % 0.36/0.58 (step @p106 :rule symm :premises (@p105)) % 0.36/0.58 (step @p107 :rule refl :args (@t26)) % 0.36/0.58 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.36/0.58 (step @p109 :rule ho_cong :premises (@p103 @p52)) % 0.36/0.58 (step @p110 :rule trans :premises (@p109 @p108)) % 0.36/0.58 (step @p111 :rule cong :premises (@p110) :args (@t51)) % 0.36/0.58 (step @p112 :rule nary_cong :premises (@p111 @p98) :args (@t52)) % 0.36/0.58 (step @p113 :rule cong :premises (@p112) :args ((forall @t27 @t52))) % 0.36/0.58 (step @p114 :rule bool-impl-elim :args (@t26 @t24)) % 0.36/0.58 (step @p115 :rule cong :premises (@p114) :args (@t28)) % 0.36/0.58 (step @p116 :rule trans :premises (@p115 @p113)) % 0.36/0.58 (step @p117 :rule cong :premises (@p34 @p116) :args (@t29)) % 0.36/0.58 (step @p118 :rule cong :premises (@p76 @p117) :args (@t30)) % 0.36/0.58 (step @p119 :rule cong :premises (@p118) :args (@t31)) % 0.36/0.58 (step @p120 :rule trans :premises (@p119 @p80)) % 0.36/0.58 (step @p121 :rule eq_resolve :premises (@p3 @p120)) % 0.36/0.58 (step @p122 :rule not_implies_elim2 :premises (@p121)) % 0.36/0.58 (step @p123 :rule not_implies_elim1 :premises (@p122)) % 0.36/0.58 (step @p124 :rule not_implies_elim1 :premises (@p121)) % 0.36/0.58 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t54 @t55))) % 0.36/0.58 (step @p126 :rule not_implies_elim2 :premises (@p122)) % 0.36/0.58 (step @p127 :rule skolemize :premises (@p126)) % 0.36/0.58 (step @p128 :rule cnf_or_neg :args (@t58 1)) % 0.36/0.58 (step @p129 :rule chain_m_resolution :premises (@p128 @p127) :args ((not @t57) (@list true) (@list @t58))) % 0.36/0.58 (step @p130 :rule cnf_or_pos :args (@t61)) % 0.36/0.58 (step @p131 :rule reordering :premises (@p130) :args ((or @t57 @t60 (not @t61)))) % 0.36/0.58 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p125) :args (@t60 @t62 (@list @t57 @t61))) % 0.36/0.58 (step @p133 :rule skolemize :premises (@p132)) % 0.36/0.58 (assume-push @p140 @t63) % 0.36/0.58 (step @p135 :rule instantiate :premises (@p123) :args ((@list @t54 @t53 @t64))) % 0.36/0.58 (step-pop @p141 :rule scope :premises (@p135)) % 0.36/0.58 (step @p136 :rule process_scope :premises (@p141) :args (@t65)) % 0.36/0.58 (step @p138 :rule implies_elim :premises (@p136)) % 0.36/0.58 (step @p139 false :rule chain_m_resolution :premises (@p138 @p133 @p123) :args (false @t62 (@list @t65 @t63))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------