%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU735^2 : 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 08:52:57 AM UTC 2026 % Result : Theorem 0.42s 0.58s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU735^2 : 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 % 0.18/0.35 % Computer : n001.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 17:50:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.42/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.58 % SZS status Theorem % 0.42/0.58 % SZS output start Proof % 0.42/0.58 ( % 0.42/0.58 (declare-sort $$unsorted 0) % 0.42/0.58 (declare-const tptp.complementSubsetComplementIntersect Bool) % 0.42/0.58 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.58 (declare-const tptp.powersetI1 Bool) % 0.42/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.58 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.58 (define @t2 () (_ tptp.powerset @t1)) % 0.42/0.58 (define @t3 () (@var "B" $$unsorted)) % 0.42/0.58 (define @t4 () (_ tptp.in @t3)) % 0.42/0.58 (define @t5 () (_ @t4 @t2)) % 0.42/0.58 (define @t6 () (_ (_ tptp.subset @t3) @t1)) % 0.42/0.58 (define @t7 () (@list @t1 @t3)) % 0.42/0.58 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.42/0.58 (define @t9 () (= tptp.powersetI1 @t8)) % 0.42/0.58 (define @t10 () (@var "Y" $$unsorted)) % 0.42/0.58 (define @t11 () (@var "X" $$unsorted)) % 0.42/0.58 (define @t12 () (_ (_ tptp.binintersect @t11) @t10)) % 0.42/0.58 (define @t13 () (_ tptp.setminus @t1)) % 0.42/0.58 (define @t14 () (_ @t13 @t12)) % 0.42/0.58 (define @t15 () (_ @t13 @t11)) % 0.42/0.58 (define @t16 () (_ (_ tptp.subset @t15) @t14)) % 0.42/0.58 (define @t17 () (_ tptp.in @t10)) % 0.42/0.58 (define @t18 () (_ @t17 @t2)) % 0.42/0.58 (define @t19 () (@list @t10)) % 0.42/0.58 (define @t20 () (forall @t19 (=> @t18 @t16))) % 0.42/0.58 (define @t21 () (_ tptp.in @t11)) % 0.42/0.58 (define @t22 () (_ @t21 @t2)) % 0.42/0.58 (define @t23 () (=> @t22 @t20)) % 0.42/0.58 (define @t24 () (@list @t1 @t11)) % 0.42/0.58 (define @t25 () (forall @t24 @t23)) % 0.42/0.58 (define @t26 () (= tptp.complementSubsetComplementIntersect @t25)) % 0.42/0.58 (define @t27 () (_ tptp.powerset @t14)) % 0.42/0.58 (define @t28 () (_ (_ tptp.in @t15) @t27)) % 0.42/0.58 (define @t29 () (forall @t19 (=> @t18 @t28))) % 0.42/0.58 (define @t30 () (=> @t22 @t29)) % 0.42/0.58 (define @t31 () (forall @t24 @t30)) % 0.42/0.58 (define @t32 () (=> tptp.complementSubsetComplementIntersect @t31)) % 0.42/0.58 (define @t33 () (=> tptp.powersetI1 @t32)) % 0.42/0.58 (define @t34 () (not @t33)) % 0.42/0.58 (define @t35 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.42/0.58 (define @t36 () (tptp.setminus @t1 @t11)) % 0.42/0.58 (define @t37 () (tptp.in @t36 (tptp.powerset (tptp.setminus @t1 (tptp.binintersect @t11 @t35))))) % 0.42/0.58 (define @t38 () (tptp.powerset @t1)) % 0.42/0.58 (define @t39 () (not (tptp.in @t35 @t38))) % 0.42/0.58 (define @t40 () (tptp.in @t11 @t38)) % 0.42/0.58 (define @t41 () (not @t40)) % 0.42/0.58 (define @t42 () (or @t41 @t39 @t37)) % 0.42/0.58 (define @t43 () (@list @t1 @t11 @t35)) % 0.42/0.58 (define @t44 () (forall @t43 @t42)) % 0.42/0.58 (define @t45 () (@var "BOUND_VARIABLE_7495" $$unsorted)) % 0.42/0.58 (define @t46 () (tptp.subset @t36 (tptp.setminus @t1 (tptp.binintersect @t11 @t45)))) % 0.42/0.58 (define @t47 () (not (tptp.in @t45 @t38))) % 0.42/0.58 (define @t48 () (or @t47 @t46)) % 0.42/0.58 (define @t49 () (or @t41 @t48)) % 0.42/0.58 (define @t50 () (forall (@list @t1 @t11 @t45) @t49)) % 0.42/0.58 (define @t51 () (@list @t45)) % 0.42/0.58 (define @t52 () (forall @t51 @t49)) % 0.42/0.58 (define @t53 () (forall @t51 @t48)) % 0.42/0.58 (define @t54 () (@list @t10)) % 0.42/0.58 (define @t55 () (or @t41 @t53)) % 0.42/0.58 (define @t56 () (tptp.binintersect @t11 @t10)) % 0.42/0.58 (define @t57 () (tptp.setminus @t1 @t56)) % 0.42/0.58 (define @t58 () (tptp.subset @t36 @t57)) % 0.42/0.58 (define @t59 () (tptp.in @t10 @t38)) % 0.42/0.58 (define @t60 () (not @t59)) % 0.42/0.58 (define @t61 () (forall @t19 (or @t60 @t58))) % 0.42/0.58 (define @t62 () (not @t22)) % 0.42/0.58 (define @t63 () (or @t62 @t61)) % 0.42/0.58 (define @t64 () (not @t18)) % 0.42/0.58 (define @t65 () (or @t64 @t16)) % 0.42/0.58 (define @t66 () (=> tptp.complementSubsetComplementIntersect @t44)) % 0.42/0.58 (define @t67 () (tptp.in @t3 @t38)) % 0.42/0.58 (define @t68 () (tptp.subset @t3 @t1)) % 0.42/0.58 (define @t69 () (not @t6)) % 0.42/0.58 (define @t70 () (or @t69 @t5)) % 0.42/0.58 (define @t71 () (=> tptp.powersetI1 @t66)) % 0.42/0.58 (define @t72 () (or @t39 @t37)) % 0.42/0.58 (define @t73 () (or @t41 @t72)) % 0.42/0.58 (define @t74 () (forall @t43 @t73)) % 0.42/0.58 (define @t75 () (@list @t35)) % 0.42/0.58 (define @t76 () (forall @t75 @t73)) % 0.42/0.58 (define @t77 () (forall @t75 @t72)) % 0.42/0.58 (define @t78 () (or @t41 @t77)) % 0.42/0.58 (define @t79 () (tptp.powerset @t57)) % 0.42/0.58 (define @t80 () (tptp.in @t36 @t79)) % 0.42/0.58 (define @t81 () (forall @t19 (or @t60 @t80))) % 0.42/0.58 (define @t82 () (or @t62 @t81)) % 0.42/0.58 (define @t83 () (or @t64 @t28)) % 0.42/0.58 (define @t84 () (@quantifiers_skolemize @t44 0)) % 0.42/0.58 (define @t85 () (tptp.powerset @t84)) % 0.42/0.58 (define @t86 () (@quantifiers_skolemize @t44 1)) % 0.42/0.58 (define @t87 () (tptp.in @t86 @t85)) % 0.42/0.58 (define @t88 () (@quantifiers_skolemize @t44 2)) % 0.42/0.58 (define @t89 () (tptp.setminus @t84 (tptp.binintersect @t86 @t88))) % 0.42/0.58 (define @t90 () (tptp.setminus @t84 @t86)) % 0.42/0.58 (define @t91 () (tptp.in @t90 (tptp.powerset @t89))) % 0.42/0.58 (define @t92 () (tptp.in @t88 @t85)) % 0.42/0.58 (define @t93 () (not @t92)) % 0.42/0.58 (define @t94 () (not @t87)) % 0.42/0.58 (define @t95 () (or @t94 @t93 @t91)) % 0.42/0.58 (define @t96 () (@list true)) % 0.42/0.58 (define @t97 () (@list @t95)) % 0.42/0.58 (define @t98 () (tptp.subset @t90 @t89)) % 0.42/0.58 (define @t99 () (not @t98)) % 0.42/0.58 (define @t100 () (or @t99 @t91)) % 0.42/0.58 (define @t101 () (or @t94 @t93 @t98)) % 0.42/0.58 (assume @p1 @t9) % 0.42/0.58 (assume @p2 @t26) % 0.42/0.58 (assume @p3 @t34) % 0.42/0.58 (assume @p4 true) % 0.42/0.58 (step @p5 :rule refl :args (@t44)) % 0.42/0.58 (step @p6 :rule aci_norm :args ((= @t49 (or @t41 @t47 @t46)))) % 0.42/0.58 (step @p7 :rule cong :premises (@p6) :args (@t50)) % 0.42/0.58 (step @p8 :rule quant-merge-prenex :args ((= (forall @t24 @t52) @t50))) % 0.42/0.58 (step @p9 :rule alpha_equiv :args (@t53 (@list @t45) @t54)) % 0.42/0.58 (step @p10 :rule refl :args (@t41)) % 0.42/0.58 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t55)) % 0.42/0.58 (step @p12 :rule quant-miniscope-or :args ((= @t52 @t55))) % 0.42/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.42/0.58 (step @p14 :rule symm :premises (@p13)) % 0.42/0.58 (step @p15 :rule cong :premises (@p14) :args ((forall @t24 (or @t41 @t61)))) % 0.42/0.58 (step @p16 :rule trans :premises (@p15 @p8)) % 0.42/0.58 (step @p17 :rule trans :premises (@p16 @p7)) % 0.42/0.58 (step @p18 :rule refl :args (@t61)) % 0.42/0.58 (step @p19 :rule refl :args ((tptp.in @t11 @t2))) % 0.42/0.58 (step @p20 :rule refl :args (@t38)) % 0.42/0.58 (step @p21 :rule refl :args (@t11)) % 0.42/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t40)) % 0.42/0.58 (step @p23 :rule trans :premises (@p22 @p19)) % 0.42/0.58 (step @p24 :rule refl :args (@t21)) % 0.42/0.58 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.42/0.58 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t21 @t38) @t40))) % 0.42/0.58 (step @p27 :rule symm :premises (@p26)) % 0.42/0.58 (step @p28 :rule refl :args (@t22)) % 0.42/0.58 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.42/0.58 (step @p30 :rule refl :args (@t2)) % 0.42/0.58 (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t2 @t38))) % 0.42/0.58 (step @p32 :rule symm :premises (@p31)) % 0.42/0.58 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.42/0.58 (step @p34 :rule ho_cong :premises (@p24 @p33)) % 0.42/0.58 (step @p35 :rule trans :premises (@p34 @p29)) % 0.42/0.58 (step @p36 :rule cong :premises (@p35) :args (@t62)) % 0.42/0.58 (step @p37 :rule nary_cong :premises (@p36 @p18) :args (@t63)) % 0.42/0.58 (step @p38 :rule cong :premises (@p37) :args ((forall @t24 @t63))) % 0.42/0.58 (step @p39 :rule trans :premises (@p38 @p17)) % 0.42/0.58 (step @p40 :rule bool-impl-elim :args (@t22 @t61)) % 0.42/0.58 (step @p41 :rule cong :premises (@p40) :args ((forall @t24 (=> @t22 @t61)))) % 0.42/0.58 (step @p42 :rule trans :premises (@p41 @p39)) % 0.42/0.58 (step @p43 :rule refl :args ((tptp.subset @t15 @t14))) % 0.42/0.58 (step @p44 :rule refl :args ((tptp.setminus @t1 @t12))) % 0.42/0.58 (step @p45 :rule refl :args (@t56)) % 0.42/0.58 (step @p46 :rule refl :args (@t1)) % 0.42/0.58 (step @p47 :rule cong :premises (@p46 @p45) :args (@t57)) % 0.42/0.58 (step @p48 :rule trans :premises (@p47 @p44)) % 0.42/0.58 (step @p49 :rule refl :args (@t36)) % 0.42/0.58 (step @p50 :rule cong :premises (@p49 @p48) :args (@t58)) % 0.42/0.58 (step @p51 :rule trans :premises (@p50 @p43)) % 0.42/0.58 (step @p52 :rule refl :args (tptp.subset)) % 0.42/0.58 (step @p53 :rule ho_cong :premises (@p52 @p49)) % 0.42/0.58 (step @p54 :rule ho_cong :premises (@p53 @p48)) % 0.42/0.58 (step @p55 :rule cong :premises (@p54 @p51) :args ((= (_ (_ tptp.subset @t36) @t57) @t58))) % 0.42/0.58 (step @p56 :rule symm :premises (@p55)) % 0.42/0.58 (step @p57 :rule refl :args (@t16)) % 0.42/0.58 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.42/0.58 (step @p59 :rule refl :args (@t13)) % 0.42/0.58 (step @p60 :rule ho_cong :premises (@p59 @p45)) % 0.42/0.58 (step @p61 :rule cong :premises (@p60 @p48) :args ((= (_ @t13 @t56) @t57))) % 0.42/0.58 (step @p62 :rule symm :premises (@p61)) % 0.42/0.58 (step @p63 :rule refl :args (@t14)) % 0.42/0.58 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.42/0.58 (step @p65 :rule refl :args (@t12)) % 0.42/0.58 (step @p66 :rule cong :premises (@p65 @p45) :args ((= @t12 @t56))) % 0.42/0.58 (step @p67 :rule symm :premises (@p66)) % 0.42/0.58 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.42/0.58 (step @p69 :rule ho_cong :premises (@p59 @p68)) % 0.42/0.58 (step @p70 :rule trans :premises (@p69 @p64)) % 0.42/0.58 (step @p71 :rule refl :args (@t15)) % 0.42/0.58 (step @p72 :rule cong :premises (@p71 @p49) :args ((= @t15 @t36))) % 0.42/0.58 (step @p73 :rule symm :premises (@p72)) % 0.42/0.58 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.42/0.58 (step @p75 :rule ho_cong :premises (@p52 @p74)) % 0.42/0.59 (step @p76 :rule ho_cong :premises (@p75 @p70)) % 0.42/0.59 (step @p77 :rule trans :premises (@p76 @p58)) % 0.42/0.59 (step @p78 :rule refl :args ((tptp.in @t10 @t2))) % 0.42/0.59 (step @p79 :rule refl :args (@t10)) % 0.42/0.59 (step @p80 :rule cong :premises (@p79 @p20) :args (@t59)) % 0.42/0.59 (step @p81 :rule trans :premises (@p80 @p78)) % 0.42/0.59 (step @p82 :rule refl :args (@t17)) % 0.42/0.59 (step @p83 :rule ho_cong :premises (@p82 @p20)) % 0.42/0.59 (step @p84 :rule cong :premises (@p83 @p81) :args ((= (_ @t17 @t38) @t59))) % 0.42/0.59 (step @p85 :rule symm :premises (@p84)) % 0.42/0.59 (step @p86 :rule refl :args (@t18)) % 0.42/0.59 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.42/0.59 (step @p88 :rule ho_cong :premises (@p82 @p33)) % 0.42/0.59 (step @p89 :rule trans :premises (@p88 @p87)) % 0.42/0.59 (step @p90 :rule cong :premises (@p89) :args (@t64)) % 0.42/0.59 (step @p91 :rule nary_cong :premises (@p90 @p77) :args (@t65)) % 0.42/0.59 (step @p92 :rule cong :premises (@p91) :args ((forall @t19 @t65))) % 0.42/0.59 (step @p93 :rule bool-impl-elim :args (@t18 @t16)) % 0.42/0.59 (step @p94 :rule cong :premises (@p93) :args (@t20)) % 0.42/0.59 (step @p95 :rule trans :premises (@p94 @p92)) % 0.42/0.59 (step @p96 :rule refl :args (@t22)) % 0.42/0.59 (step @p97 :rule cong :premises (@p96 @p95) :args (@t23)) % 0.42/0.59 (step @p98 :rule cong :premises (@p97) :args (@t25)) % 0.42/0.59 (step @p99 :rule trans :premises (@p98 @p42)) % 0.42/0.59 (step @p100 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 0.42/0.59 (step @p101 :rule cong :premises (@p100 @p99) :args (@t26)) % 0.42/0.59 (step @p102 :rule eq_resolve :premises (@p2 @p101)) % 0.42/0.59 (step @p103 :rule cong :premises (@p102 @p5) :args (@t66)) % 0.42/0.59 (step @p104 :rule refl :args ((tptp.in @t3 @t2))) % 0.42/0.59 (step @p105 :rule refl :args (@t3)) % 0.42/0.59 (step @p106 :rule cong :premises (@p105 @p20) :args (@t67)) % 0.42/0.59 (step @p107 :rule trans :premises (@p106 @p104)) % 0.42/0.59 (step @p108 :rule refl :args (@t4)) % 0.42/0.59 (step @p109 :rule ho_cong :premises (@p108 @p20)) % 0.42/0.59 (step @p110 :rule cong :premises (@p109 @p107) :args ((= (_ @t4 @t38) @t67))) % 0.42/0.59 (step @p111 :rule symm :premises (@p110)) % 0.42/0.59 (step @p112 :rule refl :args (@t5)) % 0.42/0.59 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.42/0.59 (step @p114 :rule ho_cong :premises (@p108 @p33)) % 0.42/0.59 (step @p115 :rule trans :premises (@p114 @p113)) % 0.42/0.59 (step @p116 :rule refl :args (@t68)) % 0.42/0.59 (step @p117 :rule refl :args (@t6)) % 0.42/0.59 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t6 @t68))) % 0.42/0.59 (step @p119 :rule symm :premises (@p118)) % 0.42/0.59 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.42/0.59 (step @p121 :rule cong :premises (@p120) :args (@t69)) % 0.42/0.59 (step @p122 :rule nary_cong :premises (@p121 @p115) :args (@t70)) % 0.42/0.59 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 @t70))) % 0.42/0.59 (step @p124 :rule bool-impl-elim :args (@t6 @t5)) % 0.42/0.59 (step @p125 :rule cong :premises (@p124) :args (@t8)) % 0.42/0.59 (step @p126 :rule trans :premises (@p125 @p123)) % 0.42/0.59 (step @p127 :rule refl :args (tptp.powersetI1)) % 0.42/0.59 (step @p128 :rule cong :premises (@p127 @p126) :args (@t9)) % 0.42/0.59 (step @p129 :rule eq_resolve :premises (@p1 @p128)) % 0.42/0.59 (step @p130 :rule cong :premises (@p129 @p103) :args (@t71)) % 0.42/0.59 (step @p131 :rule cong :premises (@p130) :args ((not @t71))) % 0.42/0.59 (step @p132 :rule aci_norm :args ((= @t73 @t42))) % 0.42/0.59 (step @p133 :rule cong :premises (@p132) :args (@t74)) % 0.42/0.59 (step @p134 :rule quant-merge-prenex :args ((= (forall @t24 @t76) @t74))) % 0.42/0.59 (step @p135 :rule alpha_equiv :args (@t77 (@list @t35) @t54)) % 0.42/0.59 (step @p136 :rule nary_cong :premises (@p10 @p135) :args (@t78)) % 0.42/0.59 (step @p137 :rule quant-miniscope-or :args ((= @t76 @t78))) % 0.42/0.59 (step @p138 :rule trans :premises (@p137 @p136)) % 0.42/0.59 (step @p139 :rule symm :premises (@p138)) % 0.42/0.59 (step @p140 :rule cong :premises (@p139) :args ((forall @t24 (or @t41 @t81)))) % 0.42/0.59 (step @p141 :rule trans :premises (@p140 @p134)) % 0.42/0.59 (step @p142 :rule trans :premises (@p141 @p133)) % 0.42/0.59 (step @p143 :rule refl :args (@t81)) % 0.42/0.59 (step @p144 :rule nary_cong :premises (@p36 @p143) :args (@t82)) % 0.42/0.59 (step @p145 :rule cong :premises (@p144) :args ((forall @t24 @t82))) % 0.42/0.59 (step @p146 :rule trans :premises (@p145 @p142)) % 0.42/0.59 (step @p147 :rule bool-impl-elim :args (@t22 @t81)) % 0.42/0.59 (step @p148 :rule cong :premises (@p147) :args ((forall @t24 (=> @t22 @t81)))) % 0.42/0.59 (step @p149 :rule trans :premises (@p148 @p146)) % 0.42/0.59 (step @p150 :rule refl :args ((tptp.in @t15 @t27))) % 0.42/0.59 (step @p151 :rule refl :args ((tptp.powerset @t14))) % 0.42/0.59 (step @p152 :rule cong :premises (@p48) :args (@t79)) % 0.42/0.59 (step @p153 :rule trans :premises (@p152 @p151)) % 0.42/0.59 (step @p154 :rule cong :premises (@p49 @p153) :args (@t80)) % 0.42/0.59 (step @p155 :rule trans :premises (@p154 @p150)) % 0.42/0.59 (step @p156 :rule refl :args (tptp.in)) % 0.42/0.59 (step @p157 :rule ho_cong :premises (@p156 @p49)) % 0.42/0.59 (step @p158 :rule ho_cong :premises (@p157 @p153)) % 0.42/0.59 (step @p159 :rule cong :premises (@p158 @p155) :args ((= (_ (_ tptp.in @t36) @t79) @t80))) % 0.42/0.59 (step @p160 :rule symm :premises (@p159)) % 0.42/0.59 (step @p161 :rule refl :args (@t28)) % 0.42/0.59 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.42/0.59 (step @p163 :rule refl :args (tptp.powerset)) % 0.42/0.59 (step @p164 :rule ho_cong :premises (@p163 @p48)) % 0.42/0.59 (step @p165 :rule cong :premises (@p164 @p153) :args ((= (_ tptp.powerset @t57) @t79))) % 0.42/0.59 (step @p166 :rule symm :premises (@p165)) % 0.42/0.59 (step @p167 :rule refl :args (@t27)) % 0.42/0.59 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.42/0.59 (step @p169 :rule ho_cong :premises (@p163 @p70)) % 0.42/0.59 (step @p170 :rule trans :premises (@p169 @p168)) % 0.42/0.59 (step @p171 :rule ho_cong :premises (@p156 @p74)) % 0.42/0.59 (step @p172 :rule ho_cong :premises (@p171 @p170)) % 0.42/0.59 (step @p173 :rule trans :premises (@p172 @p162)) % 0.42/0.59 (step @p174 :rule nary_cong :premises (@p90 @p173) :args (@t83)) % 0.42/0.59 (step @p175 :rule cong :premises (@p174) :args ((forall @t19 @t83))) % 0.42/0.59 (step @p176 :rule bool-impl-elim :args (@t18 @t28)) % 0.42/0.59 (step @p177 :rule cong :premises (@p176) :args (@t29)) % 0.42/0.59 (step @p178 :rule trans :premises (@p177 @p175)) % 0.42/0.59 (step @p179 :rule cong :premises (@p96 @p178) :args (@t30)) % 0.42/0.59 (step @p180 :rule cong :premises (@p179) :args (@t31)) % 0.42/0.59 (step @p181 :rule trans :premises (@p180 @p149)) % 0.42/0.59 (step @p182 :rule cong :premises (@p100 @p181) :args (@t32)) % 0.42/0.59 (step @p183 :rule cong :premises (@p127 @p182) :args (@t33)) % 0.42/0.59 (step @p184 :rule cong :premises (@p183) :args (@t34)) % 0.42/0.59 (step @p185 :rule trans :premises (@p184 @p131)) % 0.42/0.59 (step @p186 :rule eq_resolve :premises (@p3 @p185)) % 0.42/0.59 (step @p187 :rule not_implies_elim2 :premises (@p186)) % 0.42/0.59 (step @p188 :rule not_implies_elim2 :premises (@p187)) % 0.42/0.59 (step @p189 :rule skolemize :premises (@p188)) % 0.42/0.59 (step @p190 :rule bool-double-not-elim :args (@t87)) % 0.42/0.59 (step @p191 :rule refl :args (@t95)) % 0.42/0.59 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t95 (not @t94)))) % 0.42/0.59 (step @p193 :rule cnf_or_neg :args (@t95 0)) % 0.42/0.59 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.42/0.59 (step @p195 :rule reordering :premises (@p194) :args ((or @t87 @t95))) % 0.42/0.59 (step @p196 :rule chain_m_resolution :premises (@p195 @p189) :args (@t87 @t96 @t97)) % 0.42/0.59 (step @p197 :rule bool-double-not-elim :args (@t92)) % 0.42/0.59 (step @p198 :rule nary_cong :premises (@p191 @p197) :args ((or @t95 (not @t93)))) % 0.42/0.59 (step @p199 :rule cnf_or_neg :args (@t95 1)) % 0.42/0.59 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.42/0.59 (step @p201 :rule reordering :premises (@p200) :args ((or @t92 @t95))) % 0.42/0.59 (step @p202 :rule chain_m_resolution :premises (@p201 @p189) :args (@t92 @t96 @t97)) % 0.42/0.59 (step @p203 :rule not_implies_elim1 :premises (@p187)) % 0.42/0.59 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t84 @t86 @t88))) % 0.42/0.59 (step @p205 :rule not_implies_elim1 :premises (@p186)) % 0.42/0.59 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t89 @t90))) % 0.42/0.59 (step @p207 :rule cnf_or_neg :args (@t95 2)) % 0.42/0.59 (step @p208 :rule chain_m_resolution :premises (@p207 @p189) :args ((not @t91) @t96 @t97)) % 0.42/0.59 (step @p209 :rule cnf_or_pos :args (@t100)) % 0.42/0.59 (step @p210 :rule reordering :premises (@p209) :args ((or @t91 @t99 (not @t100)))) % 0.42/0.59 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p206) :args (@t99 (@list true false) (@list @t91 @t100))) % 0.42/0.59 (step @p212 :rule cnf_or_pos :args (@t101)) % 0.42/0.59 (step @p213 :rule reordering :premises (@p212) :args ((or @t94 @t93 @t98 (not @t101)))) % 0.42/0.59 (step @p214 false :rule chain_m_resolution :premises (@p213 @p211 @p204 @p202 @p196) :args (false (@list true false false false) (@list @t98 @t101 @t92 @t87))) % 0.42/0.59 ) % 0.42/0.59 % SZS output end Proof % 0.42/0.59 % cvc5 exiting %------------------------------------------------------------------------------