%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU636^2 : 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 : n012.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 08:52:31 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU636^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 17:43:48 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.setunionsingleton2 Bool) % 0.15/0.36 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.setunionsingleton1 Bool) % 0.15/0.36 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.emptyset $$unsorted) % 0.15/0.36 (declare-const tptp.setextsub Bool) % 0.15/0.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.36 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.36 (define @t3 () (= @t2 @t1)) % 0.15/0.36 (define @t4 () (_ (_ tptp.subset @t1) @t2)) % 0.15/0.36 (define @t5 () (=> @t4 @t3)) % 0.15/0.36 (define @t6 () (_ tptp.subset @t2)) % 0.15/0.36 (define @t7 () (_ @t6 @t1)) % 0.15/0.36 (define @t8 () (@list @t2 @t1)) % 0.15/0.36 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.15/0.36 (define @t10 () (= tptp.setextsub @t9)) % 0.15/0.36 (define @t11 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 0.15/0.36 (define @t12 () (_ tptp.setunion @t11)) % 0.15/0.36 (define @t13 () (_ (_ tptp.subset @t12) @t2)) % 0.15/0.36 (define @t14 () (@list @t2)) % 0.15/0.36 (define @t15 () (forall @t14 @t13)) % 0.15/0.36 (define @t16 () (= tptp.setunionsingleton1 @t15)) % 0.15/0.36 (define @t17 () (_ @t6 @t12)) % 0.15/0.36 (define @t18 () (forall @t14 @t17)) % 0.15/0.36 (define @t19 () (= tptp.setunionsingleton2 @t18)) % 0.15/0.36 (define @t20 () (@var "Xx" $$unsorted)) % 0.15/0.36 (define @t21 () (_ (_ tptp.setadjoin @t20) tptp.emptyset)) % 0.15/0.36 (define @t22 () (_ tptp.setunion @t21)) % 0.15/0.36 (define @t23 () (@list @t20)) % 0.15/0.36 (define @t24 () (forall @t23 (= @t22 @t20))) % 0.15/0.36 (define @t25 () (=> tptp.setunionsingleton2 @t24)) % 0.15/0.36 (define @t26 () (=> tptp.setunionsingleton1 @t25)) % 0.15/0.36 (define @t27 () (=> tptp.setextsub @t26)) % 0.15/0.36 (define @t28 () (not @t27)) % 0.15/0.36 (define @t29 () (tptp.setadjoin @t20 tptp.emptyset)) % 0.15/0.36 (define @t30 () (tptp.setunion @t29)) % 0.15/0.36 (define @t31 () (forall @t23 (= @t20 @t30))) % 0.15/0.36 (define @t32 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.15/0.36 (define @t33 () (tptp.setunion @t32)) % 0.15/0.36 (define @t34 () (tptp.subset @t2 @t33)) % 0.15/0.36 (define @t35 () (=> tptp.setunionsingleton2 @t31)) % 0.15/0.36 (define @t36 () (tptp.subset @t33 @t2)) % 0.15/0.36 (define @t37 () (=> tptp.setunionsingleton1 @t35)) % 0.15/0.36 (define @t38 () (tptp.subset @t1 @t2)) % 0.15/0.36 (define @t39 () (not @t4)) % 0.15/0.36 (define @t40 () (tptp.subset @t2 @t1)) % 0.15/0.36 (define @t41 () (not @t7)) % 0.15/0.36 (define @t42 () (or @t41 @t39 @t3)) % 0.15/0.36 (define @t43 () (=> tptp.setextsub @t37)) % 0.15/0.36 (define @t44 () (= @t20 @t22)) % 0.15/0.36 (define @t45 () (@quantifiers_skolemize @t31 0)) % 0.15/0.36 (define @t46 () (@list @t45)) % 0.15/0.36 (define @t47 () (tptp.setunion (tptp.setadjoin @t45 tptp.emptyset))) % 0.15/0.36 (define @t48 () (= @t45 @t47)) % 0.15/0.36 (define @t49 () (tptp.subset @t47 @t45)) % 0.15/0.36 (define @t50 () (not @t49)) % 0.15/0.36 (define @t51 () (tptp.subset @t45 @t47)) % 0.15/0.36 (define @t52 () (not @t51)) % 0.15/0.36 (define @t53 () (or @t52 @t50 @t48)) % 0.15/0.36 (define @t54 () (not @t53)) % 0.15/0.36 (define @t55 () (forall @t8 (or (not @t40) (not @t38) @t3))) % 0.15/0.36 (assume @p1 @t10) % 0.15/0.36 (assume @p2 @t16) % 0.15/0.36 (assume @p3 @t19) % 0.15/0.36 (assume @p4 @t28) % 0.15/0.36 (assume @p5 true) % 0.15/0.36 (step @p6 :rule refl :args (@t31)) % 0.15/0.36 (step @p7 :rule refl :args ((tptp.subset @t2 @t12))) % 0.15/0.36 (step @p8 :rule refl :args ((tptp.setunion @t11))) % 0.15/0.36 (step @p9 :rule refl :args (@t32)) % 0.15/0.36 (step @p10 :rule cong :premises (@p9) :args (@t33)) % 0.15/0.36 (step @p11 :rule trans :premises (@p10 @p8)) % 0.15/0.36 (step @p12 :rule refl :args (@t2)) % 0.15/0.36 (step @p13 :rule cong :premises (@p12 @p11) :args (@t34)) % 0.15/0.36 (step @p14 :rule trans :premises (@p13 @p7)) % 0.15/0.36 (step @p15 :rule refl :args (@t6)) % 0.15/0.36 (step @p16 :rule ho_cong :premises (@p15 @p11)) % 0.15/0.36 (step @p17 :rule cong :premises (@p16 @p14) :args ((= (_ @t6 @t33) @t34))) % 0.15/0.36 (step @p18 :rule symm :premises (@p17)) % 0.15/0.36 (step @p19 :rule refl :args (@t17)) % 0.15/0.36 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.15/0.36 (step @p21 :rule refl :args (tptp.setunion)) % 0.15/0.36 (step @p22 :rule ho_cong :premises (@p21 @p9)) % 0.15/0.36 (step @p23 :rule cong :premises (@p22 @p11) :args ((= (_ tptp.setunion @t32) @t33))) % 0.15/0.36 (step @p24 :rule symm :premises (@p23)) % 0.15/0.36 (step @p25 :rule refl :args (@t12)) % 0.15/0.36 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.15/0.36 (step @p27 :rule refl :args (@t11)) % 0.15/0.36 (step @p28 :rule cong :premises (@p27 @p9) :args ((= @t11 @t32))) % 0.15/0.36 (step @p29 :rule symm :premises (@p28)) % 0.15/0.36 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.15/0.36 (step @p31 :rule ho_cong :premises (@p21 @p30)) % 0.15/0.36 (step @p32 :rule trans :premises (@p31 @p26)) % 0.15/0.36 (step @p33 :rule ho_cong :premises (@p15 @p32)) % 0.15/0.36 (step @p34 :rule trans :premises (@p33 @p20)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34) :args (@t18)) % 0.15/0.36 (step @p36 :rule refl :args (tptp.setunionsingleton2)) % 0.15/0.36 (step @p37 :rule cong :premises (@p36 @p35) :args (@t19)) % 0.15/0.36 (step @p38 :rule eq_resolve :premises (@p3 @p37)) % 0.15/0.36 (step @p39 :rule cong :premises (@p38 @p6) :args (@t35)) % 0.15/0.36 (step @p40 :rule refl :args ((tptp.subset @t12 @t2))) % 0.15/0.36 (step @p41 :rule cong :premises (@p11 @p12) :args (@t36)) % 0.15/0.36 (step @p42 :rule trans :premises (@p41 @p40)) % 0.15/0.36 (step @p43 :rule refl :args (tptp.subset)) % 0.15/0.36 (step @p44 :rule ho_cong :premises (@p43 @p11)) % 0.15/0.36 (step @p45 :rule ho_cong :premises (@p44 @p12)) % 0.15/0.36 (step @p46 :rule cong :premises (@p45 @p42) :args ((= (_ (_ tptp.subset @t33) @t2) @t36))) % 0.15/0.36 (step @p47 :rule symm :premises (@p46)) % 0.15/0.36 (step @p48 :rule refl :args (@t13)) % 0.15/0.36 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.15/0.36 (step @p50 :rule ho_cong :premises (@p43 @p32)) % 0.15/0.36 (step @p51 :rule ho_cong :premises (@p50 @p12)) % 0.15/0.36 (step @p52 :rule trans :premises (@p51 @p49)) % 0.15/0.36 (step @p53 :rule cong :premises (@p52) :args (@t15)) % 0.15/0.36 (step @p54 :rule refl :args (tptp.setunionsingleton1)) % 0.15/0.36 (step @p55 :rule cong :premises (@p54 @p53) :args (@t16)) % 0.15/0.36 (step @p56 :rule eq_resolve :premises (@p2 @p55)) % 0.15/0.36 (step @p57 :rule cong :premises (@p56 @p39) :args (@t37)) % 0.15/0.36 (step @p58 :rule refl :args (@t3)) % 0.15/0.36 (step @p59 :rule refl :args (@t38)) % 0.15/0.36 (step @p60 :rule refl :args (@t4)) % 0.15/0.36 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t4 @t38))) % 0.15/0.36 (step @p62 :rule symm :premises (@p61)) % 0.15/0.36 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.15/0.36 (step @p64 :rule cong :premises (@p63) :args (@t39)) % 0.15/0.36 (step @p65 :rule refl :args (@t40)) % 0.15/0.36 (step @p66 :rule refl :args (@t7)) % 0.15/0.36 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t7 @t40))) % 0.15/0.36 (step @p68 :rule symm :premises (@p67)) % 0.15/0.36 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.15/0.36 (step @p70 :rule cong :premises (@p69) :args (@t41)) % 0.15/0.36 (step @p71 :rule nary_cong :premises (@p70 @p64 @p58) :args (@t42)) % 0.15/0.36 (step @p72 :rule cong :premises (@p71) :args ((forall @t8 @t42))) % 0.15/0.36 (step @p73 :rule aci_norm :args ((= (or @t41 (or @t39 @t3)) @t42))) % 0.15/0.36 (step @p74 :rule bool-impl-elim :args (@t4 @t3)) % 0.15/0.36 (step @p75 :rule refl :args (@t41)) % 0.15/0.36 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t41 @t5))) % 0.15/0.36 (step @p77 :rule trans :premises (@p76 @p73)) % 0.15/0.36 (step @p78 :rule bool-impl-elim :args (@t7 @t5)) % 0.15/0.36 (step @p79 :rule trans :premises (@p78 @p77)) % 0.15/0.36 (step @p80 :rule cong :premises (@p79) :args (@t9)) % 0.15/0.36 (step @p81 :rule trans :premises (@p80 @p72)) % 0.15/0.36 (step @p82 :rule refl :args (tptp.setextsub)) % 0.15/0.36 (step @p83 :rule cong :premises (@p82 @p81) :args (@t10)) % 0.15/0.36 (step @p84 :rule eq_resolve :premises (@p1 @p83)) % 0.15/0.36 (step @p85 :rule cong :premises (@p84 @p57) :args (@t43)) % 0.15/0.36 (step @p86 :rule cong :premises (@p85) :args ((not @t43))) % 0.15/0.36 (step @p87 :rule refl :args ((tptp.setunion @t21))) % 0.15/0.36 (step @p88 :rule refl :args (@t29)) % 0.15/0.36 (step @p89 :rule cong :premises (@p88) :args (@t30)) % 0.15/0.36 (step @p90 :rule trans :premises (@p89 @p87)) % 0.15/0.36 (step @p91 :rule ho_cong :premises (@p21 @p88)) % 0.15/0.36 (step @p92 :rule cong :premises (@p91 @p90) :args ((= (_ tptp.setunion @t29) @t30))) % 0.15/0.36 (step @p93 :rule symm :premises (@p92)) % 0.15/0.36 (step @p94 :rule refl :args (@t22)) % 0.15/0.36 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.15/0.36 (step @p96 :rule refl :args (@t21)) % 0.15/0.36 (step @p97 :rule cong :premises (@p96 @p88) :args ((= @t21 @t29))) % 0.15/0.36 (step @p98 :rule symm :premises (@p97)) % 0.15/0.36 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.15/0.36 (step @p100 :rule ho_cong :premises (@p21 @p99)) % 0.15/0.36 (step @p101 :rule trans :premises (@p100 @p95)) % 0.15/0.36 (step @p102 :rule refl :args (@t20)) % 0.15/0.36 (step @p103 :rule cong :premises (@p102 @p101) :args (@t44)) % 0.15/0.36 (step @p104 :rule cong :premises (@p103) :args ((forall @t23 @t44))) % 0.15/0.36 (step @p105 :rule eq-symm :args (@t22 @t20)) % 0.15/0.36 (step @p106 :rule cong :premises (@p105) :args (@t24)) % 0.15/0.36 (step @p107 :rule trans :premises (@p106 @p104)) % 0.15/0.36 (step @p108 :rule cong :premises (@p36 @p107) :args (@t25)) % 0.15/0.36 (step @p109 :rule cong :premises (@p54 @p108) :args (@t26)) % 0.15/0.36 (step @p110 :rule cong :premises (@p82 @p109) :args (@t27)) % 0.15/0.36 (step @p111 :rule cong :premises (@p110) :args (@t28)) % 0.15/0.36 (step @p112 :rule trans :premises (@p111 @p86)) % 0.15/0.36 (step @p113 :rule eq_resolve :premises (@p4 @p112)) % 0.15/0.36 (step @p114 :rule not_implies_elim1 :premises (@p113)) % 0.15/0.36 (step @p115 :rule not_implies_elim2 :premises (@p113)) % 0.15/0.36 (step @p116 :rule not_implies_elim2 :premises (@p115)) % 0.15/0.36 (step @p117 :rule not_implies_elim1 :premises (@p116)) % 0.15/0.36 (step @p118 :rule instantiate :premises (@p117) :args (@t46)) % 0.15/0.36 (step @p119 :rule not_implies_elim1 :premises (@p115)) % 0.15/0.36 (step @p120 :rule instantiate :premises (@p119) :args (@t46)) % 0.15/0.36 (step @p121 :rule not_implies_elim2 :premises (@p116)) % 0.15/0.36 (step @p122 :rule skolemize :premises (@p121)) % 0.15/0.36 (step @p123 :rule cnf_or_pos :args (@t53)) % 0.15/0.36 (step @p124 :rule reordering :premises (@p123) :args ((or @t48 @t50 @t52 @t54))) % 0.15/0.36 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p120 @p118) :args (@t54 (@list true false false) (@list @t48 @t49 @t51))) % 0.15/0.36 (assume-push @p132 @t55) % 0.15/0.36 (step @p127 :rule instantiate :premises (@p114) :args ((@list @t45 @t47))) % 0.15/0.36 (step-pop @p133 :rule scope :premises (@p127)) % 0.15/0.36 (step @p128 :rule process_scope :premises (@p133) :args (@t53)) % 0.15/0.36 (step @p130 :rule implies_elim :premises (@p128)) % 0.15/0.36 (step @p131 false :rule chain_m_resolution :premises (@p130 @p125 @p114) :args (false (@list true false) (@list @t53 @t55))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------