%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU524^2 : 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 : n029.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 08:52:03 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU524^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:40:47 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.setunionI Bool) % 0.39/0.57 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.powersetI Bool) % 0.39/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.57 (define @t2 () (_ tptp.powerset @t1)) % 0.39/0.57 (define @t3 () (@var "B" $$unsorted)) % 0.39/0.57 (define @t4 () (_ tptp.in @t3)) % 0.39/0.57 (define @t5 () (_ @t4 @t2)) % 0.39/0.57 (define @t6 () (@var "Xx" $$unsorted)) % 0.39/0.57 (define @t7 () (_ tptp.in @t6)) % 0.39/0.57 (define @t8 () (_ @t7 @t1)) % 0.39/0.57 (define @t9 () (_ @t7 @t3)) % 0.39/0.57 (define @t10 () (@list @t6)) % 0.39/0.57 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.39/0.57 (define @t12 () (=> @t11 @t5)) % 0.39/0.57 (define @t13 () (@list @t1 @t3)) % 0.39/0.57 (define @t14 () (forall @t13 @t12)) % 0.39/0.57 (define @t15 () (= tptp.powersetI @t14)) % 0.39/0.57 (define @t16 () (_ tptp.setunion @t1)) % 0.39/0.57 (define @t17 () (_ @t7 @t16)) % 0.39/0.57 (define @t18 () (_ @t4 @t1)) % 0.39/0.57 (define @t19 () (=> @t18 @t17)) % 0.39/0.57 (define @t20 () (@list @t1 @t6 @t3)) % 0.39/0.57 (define @t21 () (forall @t20 (=> @t9 @t19))) % 0.39/0.57 (define @t22 () (= tptp.setunionI @t21)) % 0.39/0.57 (define @t23 () (_ tptp.powerset @t16)) % 0.39/0.57 (define @t24 () (_ @t7 @t23)) % 0.39/0.57 (define @t25 () (@list @t1 @t6)) % 0.39/0.57 (define @t26 () (forall @t25 (=> @t8 @t24))) % 0.39/0.57 (define @t27 () (=> tptp.setunionI @t26)) % 0.39/0.57 (define @t28 () (=> tptp.powersetI @t27)) % 0.39/0.57 (define @t29 () (not @t28)) % 0.39/0.57 (define @t30 () (tptp.setunion @t1)) % 0.39/0.57 (define @t31 () (tptp.powerset @t30)) % 0.39/0.57 (define @t32 () (tptp.in @t6 @t31)) % 0.39/0.57 (define @t33 () (tptp.in @t6 @t1)) % 0.39/0.57 (define @t34 () (forall @t25 (or (not @t33) @t32))) % 0.39/0.57 (define @t35 () (tptp.in @t6 @t30)) % 0.39/0.57 (define @t36 () (tptp.in @t3 @t1)) % 0.39/0.57 (define @t37 () (not @t18)) % 0.39/0.57 (define @t38 () (tptp.in @t6 @t3)) % 0.39/0.57 (define @t39 () (not @t9)) % 0.39/0.57 (define @t40 () (or @t39 @t37 @t17)) % 0.39/0.57 (define @t41 () (=> tptp.setunionI @t34)) % 0.39/0.57 (define @t42 () (tptp.powerset @t1)) % 0.39/0.57 (define @t43 () (tptp.in @t3 @t42)) % 0.39/0.57 (define @t44 () (not @t38)) % 0.39/0.57 (define @t45 () (forall @t10 (or @t44 @t33))) % 0.39/0.57 (define @t46 () (not @t45)) % 0.39/0.57 (define @t47 () (or @t46 @t5)) % 0.39/0.57 (define @t48 () (or @t39 @t8)) % 0.39/0.57 (define @t49 () (=> tptp.powersetI @t41)) % 0.39/0.57 (define @t50 () (not @t8)) % 0.39/0.57 (define @t51 () (or @t50 @t24)) % 0.39/0.57 (define @t52 () (@quantifiers_skolemize @t34 1)) % 0.39/0.57 (define @t53 () (@quantifiers_skolemize @t34 0)) % 0.39/0.57 (define @t54 () (tptp.setunion @t53)) % 0.39/0.57 (define @t55 () (tptp.in @t52 (tptp.powerset @t54))) % 0.39/0.57 (define @t56 () (tptp.in @t52 @t53)) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (or @t57 @t55)) % 0.39/0.57 (define @t59 () (@list true)) % 0.39/0.57 (define @t60 () (@list @t58)) % 0.39/0.57 (define @t61 () (forall @t10 (or (not (tptp.in @t6 @t52)) (tptp.in @t6 @t54)))) % 0.39/0.57 (define @t62 () (not @t61)) % 0.39/0.57 (define @t63 () (or @t62 @t55)) % 0.39/0.57 (define @t64 () (@list true false)) % 0.39/0.57 (define @t65 () (@quantifiers_skolemize @t61 0)) % 0.39/0.57 (define @t66 () (tptp.in @t65 @t54)) % 0.39/0.57 (define @t67 () (tptp.in @t65 @t52)) % 0.39/0.57 (define @t68 () (not @t67)) % 0.39/0.57 (define @t69 () (or @t68 @t66)) % 0.39/0.57 (define @t70 () (@list @t69)) % 0.39/0.57 (define @t71 () (or @t68 @t57 @t66)) % 0.39/0.57 (define @t72 () (not @t71)) % 0.39/0.57 (define @t73 () (forall @t20 (or @t44 (not @t36) @t35))) % 0.39/0.57 (assume @p1 @t15) % 0.39/0.57 (assume @p2 @t22) % 0.39/0.57 (assume @p3 @t29) % 0.39/0.57 (assume @p4 true) % 0.39/0.57 (step @p5 :rule refl :args (@t34)) % 0.39/0.57 (step @p6 :rule refl :args ((tptp.in @t6 @t16))) % 0.39/0.57 (step @p7 :rule refl :args (@t30)) % 0.39/0.57 (step @p8 :rule refl :args (@t6)) % 0.39/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t35)) % 0.39/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.39/0.57 (step @p11 :rule refl :args (@t7)) % 0.39/0.57 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t7 @t30) @t35))) % 0.39/0.57 (step @p14 :rule symm :premises (@p13)) % 0.39/0.57 (step @p15 :rule refl :args (@t17)) % 0.39/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.39/0.57 (step @p17 :rule refl :args (@t16)) % 0.39/0.57 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t16 @t30))) % 0.39/0.57 (step @p19 :rule symm :premises (@p18)) % 0.39/0.57 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.39/0.57 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.39/0.57 (step @p22 :rule trans :premises (@p21 @p16)) % 0.39/0.57 (step @p23 :rule refl :args (@t36)) % 0.39/0.57 (step @p24 :rule refl :args (@t18)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t18 @t36))) % 0.39/0.57 (step @p26 :rule symm :premises (@p25)) % 0.39/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t37)) % 0.39/0.57 (step @p29 :rule refl :args (@t38)) % 0.39/0.57 (step @p30 :rule refl :args (@t9)) % 0.39/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t9 @t38))) % 0.39/0.57 (step @p32 :rule symm :premises (@p31)) % 0.39/0.57 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.39/0.57 (step @p34 :rule cong :premises (@p33) :args (@t39)) % 0.39/0.57 (step @p35 :rule nary_cong :premises (@p34 @p28 @p22) :args (@t40)) % 0.39/0.57 (step @p36 :rule cong :premises (@p35) :args ((forall @t20 @t40))) % 0.39/0.57 (step @p37 :rule aci_norm :args ((= (or @t39 (or @t37 @t17)) @t40))) % 0.39/0.57 (step @p38 :rule bool-impl-elim :args (@t18 @t17)) % 0.39/0.57 (step @p39 :rule refl :args (@t39)) % 0.39/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t39 @t19))) % 0.39/0.57 (step @p41 :rule trans :premises (@p40 @p37)) % 0.39/0.57 (step @p42 :rule bool-impl-elim :args (@t9 @t19)) % 0.39/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43) :args (@t21)) % 0.39/0.57 (step @p45 :rule trans :premises (@p44 @p36)) % 0.39/0.57 (step @p46 :rule refl :args (tptp.setunionI)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t22)) % 0.39/0.57 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.39/0.57 (step @p49 :rule cong :premises (@p48 @p5) :args (@t41)) % 0.39/0.57 (step @p50 :rule refl :args ((tptp.in @t3 @t2))) % 0.39/0.57 (step @p51 :rule refl :args (@t42)) % 0.39/0.57 (step @p52 :rule refl :args (@t3)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args (@t43)) % 0.39/0.57 (step @p54 :rule trans :premises (@p53 @p50)) % 0.39/0.57 (step @p55 :rule refl :args (@t4)) % 0.39/0.57 (step @p56 :rule ho_cong :premises (@p55 @p51)) % 0.39/0.57 (step @p57 :rule cong :premises (@p56 @p54) :args ((= (_ @t4 @t42) @t43))) % 0.39/0.57 (step @p58 :rule symm :premises (@p57)) % 0.39/0.57 (step @p59 :rule refl :args (@t5)) % 0.39/0.57 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.39/0.57 (step @p61 :rule refl :args (@t2)) % 0.39/0.57 (step @p62 :rule cong :premises (@p61 @p51) :args ((= @t2 @t42))) % 0.39/0.57 (step @p63 :rule symm :premises (@p62)) % 0.39/0.57 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.39/0.57 (step @p65 :rule ho_cong :premises (@p55 @p64)) % 0.39/0.57 (step @p66 :rule trans :premises (@p65 @p60)) % 0.39/0.57 (step @p67 :rule refl :args (@t46)) % 0.39/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t47)) % 0.39/0.57 (step @p69 :rule cong :premises (@p68) :args ((forall @t13 @t47))) % 0.39/0.57 (step @p70 :rule bool-impl-elim :args (@t45 @t5)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t13 (=> @t45 @t5)))) % 0.39/0.57 (step @p72 :rule trans :premises (@p71 @p69)) % 0.39/0.57 (step @p73 :rule refl :args (@t5)) % 0.39/0.57 (step @p74 :rule refl :args (@t33)) % 0.39/0.57 (step @p75 :rule refl :args (@t8)) % 0.39/0.57 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t8 @t33))) % 0.39/0.57 (step @p77 :rule symm :premises (@p76)) % 0.39/0.57 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.39/0.57 (step @p79 :rule nary_cong :premises (@p34 @p78) :args (@t48)) % 0.39/0.57 (step @p80 :rule cong :premises (@p79) :args ((forall @t10 @t48))) % 0.39/0.57 (step @p81 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.57 (step @p82 :rule cong :premises (@p81) :args (@t11)) % 0.39/0.57 (step @p83 :rule trans :premises (@p82 @p80)) % 0.39/0.57 (step @p84 :rule cong :premises (@p83 @p73) :args (@t12)) % 0.39/0.57 (step @p85 :rule cong :premises (@p84) :args (@t14)) % 0.39/0.57 (step @p86 :rule trans :premises (@p85 @p72)) % 0.39/0.57 (step @p87 :rule refl :args (tptp.powersetI)) % 0.39/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args (@t15)) % 0.39/0.57 (step @p89 :rule eq_resolve :premises (@p1 @p88)) % 0.39/0.57 (step @p90 :rule cong :premises (@p89 @p49) :args (@t49)) % 0.39/0.57 (step @p91 :rule cong :premises (@p90) :args ((not @t49))) % 0.39/0.57 (step @p92 :rule refl :args ((tptp.in @t6 @t23))) % 0.39/0.57 (step @p93 :rule refl :args ((tptp.powerset @t16))) % 0.39/0.57 (step @p94 :rule cong :premises (@p7) :args (@t31)) % 0.39/0.57 (step @p95 :rule trans :premises (@p94 @p93)) % 0.39/0.57 (step @p96 :rule cong :premises (@p8 @p95) :args (@t32)) % 0.39/0.57 (step @p97 :rule trans :premises (@p96 @p92)) % 0.39/0.57 (step @p98 :rule ho_cong :premises (@p11 @p95)) % 0.39/0.57 (step @p99 :rule cong :premises (@p98 @p97) :args ((= (_ @t7 @t31) @t32))) % 0.39/0.57 (step @p100 :rule symm :premises (@p99)) % 0.39/0.57 (step @p101 :rule refl :args (@t24)) % 0.39/0.57 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.39/0.57 (step @p103 :rule refl :args (tptp.powerset)) % 0.39/0.57 (step @p104 :rule ho_cong :premises (@p103 @p7)) % 0.39/0.57 (step @p105 :rule cong :premises (@p104 @p95) :args ((= (_ tptp.powerset @t30) @t31))) % 0.39/0.57 (step @p106 :rule symm :premises (@p105)) % 0.39/0.57 (step @p107 :rule refl :args (@t23)) % 0.39/0.57 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.39/0.57 (step @p109 :rule ho_cong :premises (@p103 @p20)) % 0.39/0.57 (step @p110 :rule trans :premises (@p109 @p108)) % 0.39/0.57 (step @p111 :rule ho_cong :premises (@p11 @p110)) % 0.39/0.57 (step @p112 :rule trans :premises (@p111 @p102)) % 0.39/0.57 (step @p113 :rule cong :premises (@p78) :args (@t50)) % 0.39/0.57 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t51)) % 0.39/0.57 (step @p115 :rule cong :premises (@p114) :args ((forall @t25 @t51))) % 0.39/0.57 (step @p116 :rule bool-impl-elim :args (@t8 @t24)) % 0.39/0.57 (step @p117 :rule cong :premises (@p116) :args (@t26)) % 0.39/0.57 (step @p118 :rule trans :premises (@p117 @p115)) % 0.39/0.57 (step @p119 :rule cong :premises (@p46 @p118) :args (@t27)) % 0.39/0.57 (step @p120 :rule cong :premises (@p87 @p119) :args (@t28)) % 0.39/0.57 (step @p121 :rule cong :premises (@p120) :args (@t29)) % 0.39/0.57 (step @p122 :rule trans :premises (@p121 @p91)) % 0.39/0.57 (step @p123 :rule eq_resolve :premises (@p3 @p122)) % 0.39/0.57 (step @p124 :rule not_implies_elim2 :premises (@p123)) % 0.39/0.57 (step @p125 :rule not_implies_elim1 :premises (@p124)) % 0.39/0.57 (step @p126 :rule not_implies_elim1 :premises (@p123)) % 0.39/0.57 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t54 @t52))) % 0.39/0.57 (step @p128 :rule not_implies_elim2 :premises (@p124)) % 0.39/0.57 (step @p129 :rule skolemize :premises (@p128)) % 0.39/0.57 (step @p130 :rule cnf_or_neg :args (@t58 1)) % 0.39/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p129) :args ((not @t55) @t59 @t60)) % 0.39/0.57 (step @p132 :rule cnf_or_pos :args (@t63)) % 0.39/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t55 @t62 (not @t63)))) % 0.39/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p127) :args (@t62 @t64 (@list @t55 @t63))) % 0.39/0.57 (step @p135 :rule skolemize :premises (@p134)) % 0.39/0.57 (step @p136 :rule cnf_or_neg :args (@t69 1)) % 0.39/0.57 (step @p137 :rule chain_m_resolution :premises (@p136 @p135) :args ((not @t66) @t59 @t70)) % 0.39/0.57 (step @p138 :rule bool-double-not-elim :args (@t67)) % 0.39/0.57 (step @p139 :rule refl :args (@t69)) % 0.39/0.57 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t69 (not @t68)))) % 0.39/0.57 (step @p141 :rule cnf_or_neg :args (@t69 0)) % 0.39/0.57 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.39/0.57 (step @p143 :rule reordering :premises (@p142) :args ((or @t67 @t69))) % 0.39/0.57 (step @p144 :rule chain_m_resolution :premises (@p143 @p135) :args (@t67 @t59 @t70)) % 0.39/0.57 (step @p145 :rule bool-double-not-elim :args (@t56)) % 0.39/0.57 (step @p146 :rule refl :args (@t58)) % 0.39/0.57 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t58 (not @t57)))) % 0.39/0.57 (step @p148 :rule cnf_or_neg :args (@t58 0)) % 0.39/0.57 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.39/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t56 @t58))) % 0.39/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p129) :args (@t56 @t59 @t60)) % 0.39/0.57 (step @p152 :rule cnf_or_pos :args (@t71)) % 0.39/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t57 @t68 @t66 @t72))) % 0.39/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p144 @p137) :args (@t72 (@list false false true) (@list @t56 @t67 @t66))) % 0.39/0.57 (assume-push @p161 @t73) % 0.39/0.57 (step @p156 :rule instantiate :premises (@p125) :args ((@list @t53 @t65 @t52))) % 0.39/0.57 (step-pop @p162 :rule scope :premises (@p156)) % 0.39/0.57 (step @p157 :rule process_scope :premises (@p162) :args (@t71)) % 0.39/0.57 (step @p159 :rule implies_elim :premises (@p157)) % 0.39/0.57 (step @p160 false :rule chain_m_resolution :premises (@p159 @p154 @p125) :args (false @t64 (@list @t71 @t73))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------