%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU626^2 : 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 : 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 08:52:28 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 : SEU626^2 : 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 % 0.16/0.34 % Computer : n001.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 17:44:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----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 $$unsorted 0) % 0.39/0.57 (declare-const tptp.upairsubunion Bool) % 0.39/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.emptyset $$unsorted) % 0.39/0.57 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.powersetI1 Bool) % 0.39/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted 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 () (_ (_ tptp.subset @t3) @t1)) % 0.39/0.57 (define @t7 () (@list @t1 @t3)) % 0.39/0.57 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.39/0.57 (define @t9 () (= tptp.powersetI1 @t8)) % 0.39/0.57 (define @t10 () (_ (_ tptp.binunion @t1) @t3)) % 0.39/0.57 (define @t11 () (@var "Xy" $$unsorted)) % 0.39/0.57 (define @t12 () (_ (_ tptp.setadjoin @t11) tptp.emptyset)) % 0.39/0.57 (define @t13 () (@var "Xx" $$unsorted)) % 0.39/0.57 (define @t14 () (_ tptp.setadjoin @t13)) % 0.39/0.57 (define @t15 () (_ @t14 @t12)) % 0.39/0.57 (define @t16 () (_ (_ tptp.subset @t15) @t10)) % 0.39/0.57 (define @t17 () (_ (_ tptp.in @t11) @t3)) % 0.39/0.57 (define @t18 () (@list @t11)) % 0.39/0.57 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.39/0.57 (define @t20 () (_ (_ tptp.in @t13) @t1)) % 0.39/0.57 (define @t21 () (=> @t20 @t19)) % 0.39/0.57 (define @t22 () (@list @t1 @t3 @t13)) % 0.39/0.57 (define @t23 () (forall @t22 @t21)) % 0.39/0.57 (define @t24 () (= tptp.upairsubunion @t23)) % 0.39/0.57 (define @t25 () (_ tptp.powerset @t10)) % 0.39/0.57 (define @t26 () (_ (_ tptp.in @t15) @t25)) % 0.39/0.57 (define @t27 () (forall @t18 (=> @t17 @t26))) % 0.39/0.57 (define @t28 () (=> @t20 @t27)) % 0.39/0.57 (define @t29 () (forall @t22 @t28)) % 0.39/0.57 (define @t30 () (=> tptp.upairsubunion @t29)) % 0.39/0.57 (define @t31 () (=> tptp.powersetI1 @t30)) % 0.39/0.57 (define @t32 () (not @t31)) % 0.39/0.57 (define @t33 () (tptp.binunion @t1 @t3)) % 0.39/0.57 (define @t34 () (tptp.powerset @t33)) % 0.39/0.57 (define @t35 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.39/0.57 (define @t36 () (tptp.in (tptp.setadjoin @t13 (tptp.setadjoin @t35 tptp.emptyset)) @t34)) % 0.39/0.57 (define @t37 () (not (tptp.in @t35 @t3))) % 0.39/0.57 (define @t38 () (tptp.in @t13 @t1)) % 0.39/0.57 (define @t39 () (not @t38)) % 0.39/0.57 (define @t40 () (or @t39 @t37 @t36)) % 0.39/0.57 (define @t41 () (@list @t1 @t3 @t13 @t35)) % 0.39/0.57 (define @t42 () (forall @t41 @t40)) % 0.39/0.57 (define @t43 () (@var "BOUND_VARIABLE_7495" $$unsorted)) % 0.39/0.57 (define @t44 () (tptp.subset (tptp.setadjoin @t13 (tptp.setadjoin @t43 tptp.emptyset)) @t33)) % 0.39/0.57 (define @t45 () (not (tptp.in @t43 @t3))) % 0.39/0.57 (define @t46 () (or @t39 @t45 @t44)) % 0.39/0.57 (define @t47 () (or @t45 @t44)) % 0.39/0.57 (define @t48 () (or @t39 @t47)) % 0.39/0.57 (define @t49 () (@list @t1 @t3 @t13 @t43)) % 0.39/0.57 (define @t50 () (forall @t49 @t48)) % 0.39/0.57 (define @t51 () (@list @t43)) % 0.39/0.57 (define @t52 () (forall @t51 @t48)) % 0.39/0.57 (define @t53 () (forall @t51 @t47)) % 0.39/0.57 (define @t54 () (@list @t11)) % 0.39/0.57 (define @t55 () (or @t39 @t53)) % 0.39/0.57 (define @t56 () (tptp.setadjoin @t11 tptp.emptyset)) % 0.39/0.57 (define @t57 () (tptp.setadjoin @t13 @t56)) % 0.39/0.57 (define @t58 () (tptp.subset @t57 @t33)) % 0.39/0.57 (define @t59 () (tptp.in @t11 @t3)) % 0.39/0.57 (define @t60 () (not @t59)) % 0.39/0.57 (define @t61 () (forall @t18 (or @t60 @t58))) % 0.39/0.57 (define @t62 () (not @t20)) % 0.39/0.57 (define @t63 () (or @t62 @t61)) % 0.39/0.57 (define @t64 () (not @t17)) % 0.39/0.57 (define @t65 () (or @t64 @t16)) % 0.39/0.57 (define @t66 () (=> tptp.upairsubunion @t42)) % 0.39/0.57 (define @t67 () (tptp.powerset @t1)) % 0.39/0.57 (define @t68 () (tptp.in @t3 @t67)) % 0.39/0.57 (define @t69 () (tptp.subset @t3 @t1)) % 0.39/0.57 (define @t70 () (not @t6)) % 0.39/0.57 (define @t71 () (or @t70 @t5)) % 0.39/0.57 (define @t72 () (=> tptp.powersetI1 @t66)) % 0.39/0.57 (define @t73 () (or @t37 @t36)) % 0.39/0.57 (define @t74 () (or @t39 @t73)) % 0.39/0.57 (define @t75 () (forall @t41 @t74)) % 0.39/0.57 (define @t76 () (@list @t35)) % 0.39/0.57 (define @t77 () (forall @t76 @t74)) % 0.39/0.57 (define @t78 () (forall @t76 @t73)) % 0.39/0.57 (define @t79 () (or @t39 @t78)) % 0.39/0.57 (define @t80 () (tptp.in @t57 @t34)) % 0.39/0.57 (define @t81 () (forall @t18 (or @t60 @t80))) % 0.39/0.57 (define @t82 () (or @t62 @t81)) % 0.39/0.57 (define @t83 () (or @t64 @t26)) % 0.39/0.57 (define @t84 () (@quantifiers_skolemize @t42 3)) % 0.39/0.57 (define @t85 () (@quantifiers_skolemize @t42 2)) % 0.39/0.57 (define @t86 () (tptp.setadjoin @t85 (tptp.setadjoin @t84 tptp.emptyset))) % 0.39/0.57 (define @t87 () (@quantifiers_skolemize @t42 1)) % 0.39/0.57 (define @t88 () (@quantifiers_skolemize @t42 0)) % 0.39/0.57 (define @t89 () (tptp.binunion @t88 @t87)) % 0.39/0.57 (define @t90 () (tptp.in @t86 (tptp.powerset @t89))) % 0.39/0.57 (define @t91 () (tptp.in @t84 @t87)) % 0.39/0.57 (define @t92 () (not @t91)) % 0.39/0.57 (define @t93 () (tptp.in @t85 @t88)) % 0.39/0.57 (define @t94 () (not @t93)) % 0.39/0.57 (define @t95 () (or @t94 @t92 @t90)) % 0.39/0.57 (define @t96 () (@list true)) % 0.39/0.57 (define @t97 () (@list @t95)) % 0.39/0.57 (define @t98 () (tptp.subset @t86 @t89)) % 0.39/0.57 (define @t99 () (not @t98)) % 0.39/0.57 (define @t100 () (or @t99 @t90)) % 0.39/0.57 (define @t101 () (@list true false)) % 0.39/0.57 (define @t102 () (or @t94 @t92 @t98)) % 0.39/0.57 (define @t103 () (not @t102)) % 0.39/0.57 (define @t104 () (forall @t49 @t46)) % 0.39/0.57 (assume @p1 @t9) % 0.39/0.57 (assume @p2 @t24) % 0.39/0.57 (assume @p3 @t32) % 0.39/0.57 (assume @p4 true) % 0.39/0.57 (step @p5 :rule refl :args (@t42)) % 0.39/0.57 (step @p6 :rule aci_norm :args ((= @t48 @t46))) % 0.39/0.57 (step @p7 :rule cong :premises (@p6) :args (@t50)) % 0.39/0.57 (step @p8 :rule quant-merge-prenex :args ((= (forall @t22 @t52) @t50))) % 0.39/0.57 (step @p9 :rule alpha_equiv :args (@t53 (@list @t43) @t54)) % 0.39/0.57 (step @p10 :rule refl :args (@t39)) % 0.39/0.57 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t55)) % 0.39/0.57 (step @p12 :rule quant-miniscope-or :args ((= @t52 @t55))) % 0.39/0.57 (step @p13 :rule trans :premises (@p12 @p11)) % 0.39/0.57 (step @p14 :rule symm :premises (@p13)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args ((forall @t22 (or @t39 @t61)))) % 0.39/0.57 (step @p16 :rule trans :premises (@p15 @p8)) % 0.39/0.57 (step @p17 :rule trans :premises (@p16 @p7)) % 0.39/0.57 (step @p18 :rule refl :args (@t61)) % 0.39/0.57 (step @p19 :rule refl :args (@t38)) % 0.39/0.57 (step @p20 :rule refl :args (@t20)) % 0.39/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t20 @t38))) % 0.39/0.57 (step @p22 :rule symm :premises (@p21)) % 0.39/0.57 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.39/0.57 (step @p24 :rule cong :premises (@p23) :args (@t62)) % 0.39/0.57 (step @p25 :rule nary_cong :premises (@p24 @p18) :args (@t63)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25) :args ((forall @t22 @t63))) % 0.39/0.57 (step @p27 :rule trans :premises (@p26 @p17)) % 0.39/0.57 (step @p28 :rule bool-impl-elim :args (@t20 @t61)) % 0.39/0.57 (step @p29 :rule cong :premises (@p28) :args ((forall @t22 (=> @t20 @t61)))) % 0.39/0.57 (step @p30 :rule trans :premises (@p29 @p27)) % 0.39/0.57 (step @p31 :rule refl :args ((tptp.subset @t15 @t10))) % 0.39/0.57 (step @p32 :rule refl :args (@t33)) % 0.39/0.57 (step @p33 :rule refl :args ((tptp.setadjoin @t13 @t12))) % 0.39/0.57 (step @p34 :rule refl :args (@t56)) % 0.39/0.57 (step @p35 :rule refl :args (@t13)) % 0.39/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t57)) % 0.39/0.57 (step @p37 :rule trans :premises (@p36 @p33)) % 0.39/0.57 (step @p38 :rule cong :premises (@p37 @p32) :args (@t58)) % 0.39/0.57 (step @p39 :rule trans :premises (@p38 @p31)) % 0.39/0.57 (step @p40 :rule refl :args (tptp.subset)) % 0.39/0.57 (step @p41 :rule ho_cong :premises (@p40 @p37)) % 0.39/0.57 (step @p42 :rule ho_cong :premises (@p41 @p32)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42 @p39) :args ((= (_ (_ tptp.subset @t57) @t33) @t58))) % 0.39/0.57 (step @p44 :rule symm :premises (@p43)) % 0.39/0.57 (step @p45 :rule refl :args (@t16)) % 0.39/0.57 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.39/0.57 (step @p47 :rule refl :args (@t10)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47 @p32) :args ((= @t10 @t33))) % 0.39/0.57 (step @p49 :rule symm :premises (@p48)) % 0.39/0.57 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.39/0.57 (step @p51 :rule refl :args (@t14)) % 0.39/0.57 (step @p52 :rule ho_cong :premises (@p51 @p34)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52 @p37) :args ((= (_ @t14 @t56) @t57))) % 0.39/0.57 (step @p54 :rule symm :premises (@p53)) % 0.39/0.57 (step @p55 :rule refl :args (@t15)) % 0.39/0.57 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.39/0.57 (step @p57 :rule refl :args (@t12)) % 0.39/0.57 (step @p58 :rule cong :premises (@p57 @p34) :args ((= @t12 @t56))) % 0.39/0.57 (step @p59 :rule symm :premises (@p58)) % 0.39/0.57 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.39/0.57 (step @p61 :rule ho_cong :premises (@p51 @p60)) % 0.39/0.57 (step @p62 :rule trans :premises (@p61 @p56)) % 0.39/0.57 (step @p63 :rule ho_cong :premises (@p40 @p62)) % 0.39/0.57 (step @p64 :rule ho_cong :premises (@p63 @p50)) % 0.39/0.57 (step @p65 :rule trans :premises (@p64 @p46)) % 0.39/0.57 (step @p66 :rule refl :args (@t59)) % 0.39/0.57 (step @p67 :rule refl :args (@t17)) % 0.39/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t17 @t59))) % 0.39/0.57 (step @p69 :rule symm :premises (@p68)) % 0.39/0.57 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70) :args (@t64)) % 0.39/0.57 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t65)) % 0.39/0.57 (step @p73 :rule cong :premises (@p72) :args ((forall @t18 @t65))) % 0.39/0.57 (step @p74 :rule bool-impl-elim :args (@t17 @t16)) % 0.39/0.57 (step @p75 :rule cong :premises (@p74) :args (@t19)) % 0.39/0.57 (step @p76 :rule trans :premises (@p75 @p73)) % 0.39/0.57 (step @p77 :rule refl :args (@t20)) % 0.39/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args (@t21)) % 0.39/0.57 (step @p79 :rule cong :premises (@p78) :args (@t23)) % 0.39/0.57 (step @p80 :rule trans :premises (@p79 @p30)) % 0.39/0.57 (step @p81 :rule refl :args (tptp.upairsubunion)) % 0.39/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args (@t24)) % 0.39/0.57 (step @p83 :rule eq_resolve :premises (@p2 @p82)) % 0.39/0.57 (step @p84 :rule cong :premises (@p83 @p5) :args (@t66)) % 0.39/0.57 (step @p85 :rule refl :args ((tptp.in @t3 @t2))) % 0.39/0.57 (step @p86 :rule refl :args (@t67)) % 0.39/0.57 (step @p87 :rule refl :args (@t3)) % 0.39/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args (@t68)) % 0.39/0.57 (step @p89 :rule trans :premises (@p88 @p85)) % 0.39/0.57 (step @p90 :rule refl :args (@t4)) % 0.39/0.57 (step @p91 :rule ho_cong :premises (@p90 @p86)) % 0.39/0.57 (step @p92 :rule cong :premises (@p91 @p89) :args ((= (_ @t4 @t67) @t68))) % 0.39/0.57 (step @p93 :rule symm :premises (@p92)) % 0.39/0.57 (step @p94 :rule refl :args (@t5)) % 0.39/0.57 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.39/0.57 (step @p96 :rule refl :args (@t2)) % 0.39/0.57 (step @p97 :rule cong :premises (@p96 @p86) :args ((= @t2 @t67))) % 0.39/0.57 (step @p98 :rule symm :premises (@p97)) % 0.39/0.57 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.39/0.57 (step @p100 :rule ho_cong :premises (@p90 @p99)) % 0.39/0.57 (step @p101 :rule trans :premises (@p100 @p95)) % 0.39/0.57 (step @p102 :rule refl :args (@t69)) % 0.39/0.57 (step @p103 :rule refl :args (@t6)) % 0.39/0.57 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t6 @t69))) % 0.39/0.57 (step @p105 :rule symm :premises (@p104)) % 0.39/0.57 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.39/0.57 (step @p107 :rule cong :premises (@p106) :args (@t70)) % 0.39/0.57 (step @p108 :rule nary_cong :premises (@p107 @p101) :args (@t71)) % 0.39/0.57 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 @t71))) % 0.39/0.57 (step @p110 :rule bool-impl-elim :args (@t6 @t5)) % 0.39/0.57 (step @p111 :rule cong :premises (@p110) :args (@t8)) % 0.39/0.57 (step @p112 :rule trans :premises (@p111 @p109)) % 0.39/0.57 (step @p113 :rule refl :args (tptp.powersetI1)) % 0.39/0.57 (step @p114 :rule cong :premises (@p113 @p112) :args (@t9)) % 0.39/0.57 (step @p115 :rule eq_resolve :premises (@p1 @p114)) % 0.39/0.57 (step @p116 :rule cong :premises (@p115 @p84) :args (@t72)) % 0.39/0.57 (step @p117 :rule cong :premises (@p116) :args ((not @t72))) % 0.39/0.57 (step @p118 :rule aci_norm :args ((= @t74 @t40))) % 0.39/0.57 (step @p119 :rule cong :premises (@p118) :args (@t75)) % 0.39/0.57 (step @p120 :rule quant-merge-prenex :args ((= (forall @t22 @t77) @t75))) % 0.39/0.57 (step @p121 :rule alpha_equiv :args (@t78 (@list @t35) @t54)) % 0.39/0.57 (step @p122 :rule nary_cong :premises (@p10 @p121) :args (@t79)) % 0.39/0.57 (step @p123 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.39/0.57 (step @p124 :rule trans :premises (@p123 @p122)) % 0.39/0.57 (step @p125 :rule symm :premises (@p124)) % 0.39/0.57 (step @p126 :rule cong :premises (@p125) :args ((forall @t22 (or @t39 @t81)))) % 0.39/0.57 (step @p127 :rule trans :premises (@p126 @p120)) % 0.39/0.57 (step @p128 :rule trans :premises (@p127 @p119)) % 0.39/0.57 (step @p129 :rule refl :args (@t81)) % 0.39/0.57 (step @p130 :rule nary_cong :premises (@p24 @p129) :args (@t82)) % 0.39/0.57 (step @p131 :rule cong :premises (@p130) :args ((forall @t22 @t82))) % 0.39/0.57 (step @p132 :rule trans :premises (@p131 @p128)) % 0.39/0.57 (step @p133 :rule bool-impl-elim :args (@t20 @t81)) % 0.39/0.57 (step @p134 :rule cong :premises (@p133) :args ((forall @t22 (=> @t20 @t81)))) % 0.39/0.57 (step @p135 :rule trans :premises (@p134 @p132)) % 0.39/0.57 (step @p136 :rule refl :args ((tptp.in @t15 @t25))) % 0.39/0.57 (step @p137 :rule refl :args ((tptp.powerset @t10))) % 0.39/0.57 (step @p138 :rule cong :premises (@p32) :args (@t34)) % 0.39/0.57 (step @p139 :rule trans :premises (@p138 @p137)) % 0.39/0.57 (step @p140 :rule cong :premises (@p37 @p139) :args (@t80)) % 0.39/0.57 (step @p141 :rule trans :premises (@p140 @p136)) % 0.39/0.57 (step @p142 :rule refl :args (tptp.in)) % 0.39/0.57 (step @p143 :rule ho_cong :premises (@p142 @p37)) % 0.39/0.57 (step @p144 :rule ho_cong :premises (@p143 @p139)) % 0.39/0.57 (step @p145 :rule cong :premises (@p144 @p141) :args ((= (_ (_ tptp.in @t57) @t34) @t80))) % 0.39/0.57 (step @p146 :rule symm :premises (@p145)) % 0.39/0.57 (step @p147 :rule refl :args (@t26)) % 0.39/0.57 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.39/0.57 (step @p149 :rule refl :args (tptp.powerset)) % 0.39/0.57 (step @p150 :rule ho_cong :premises (@p149 @p32)) % 0.39/0.57 (step @p151 :rule cong :premises (@p150 @p139) :args ((= (_ tptp.powerset @t33) @t34))) % 0.39/0.57 (step @p152 :rule symm :premises (@p151)) % 0.39/0.57 (step @p153 :rule refl :args (@t25)) % 0.39/0.57 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.39/0.57 (step @p155 :rule ho_cong :premises (@p149 @p50)) % 0.39/0.57 (step @p156 :rule trans :premises (@p155 @p154)) % 0.39/0.57 (step @p157 :rule ho_cong :premises (@p142 @p62)) % 0.39/0.57 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 0.39/0.57 (step @p159 :rule trans :premises (@p158 @p148)) % 0.39/0.57 (step @p160 :rule nary_cong :premises (@p71 @p159) :args (@t83)) % 0.39/0.57 (step @p161 :rule cong :premises (@p160) :args ((forall @t18 @t83))) % 0.39/0.57 (step @p162 :rule bool-impl-elim :args (@t17 @t26)) % 0.39/0.57 (step @p163 :rule cong :premises (@p162) :args (@t27)) % 0.39/0.57 (step @p164 :rule trans :premises (@p163 @p161)) % 0.39/0.57 (step @p165 :rule cong :premises (@p77 @p164) :args (@t28)) % 0.39/0.57 (step @p166 :rule cong :premises (@p165) :args (@t29)) % 0.39/0.57 (step @p167 :rule trans :premises (@p166 @p135)) % 0.39/0.57 (step @p168 :rule cong :premises (@p81 @p167) :args (@t30)) % 0.39/0.57 (step @p169 :rule cong :premises (@p113 @p168) :args (@t31)) % 0.39/0.57 (step @p170 :rule cong :premises (@p169) :args (@t32)) % 0.39/0.57 (step @p171 :rule trans :premises (@p170 @p117)) % 0.39/0.57 (step @p172 :rule eq_resolve :premises (@p3 @p171)) % 0.39/0.57 (step @p173 :rule not_implies_elim2 :premises (@p172)) % 0.39/0.57 (step @p174 :rule not_implies_elim1 :premises (@p173)) % 0.39/0.57 (step @p175 :rule not_implies_elim1 :premises (@p172)) % 0.39/0.57 (step @p176 :rule instantiate :premises (@p175) :args ((@list @t89 @t86))) % 0.39/0.57 (step @p177 :rule not_implies_elim2 :premises (@p173)) % 0.39/0.57 (step @p178 :rule skolemize :premises (@p177)) % 0.39/0.57 (step @p179 :rule cnf_or_neg :args (@t95 2)) % 0.39/0.57 (step @p180 :rule chain_m_resolution :premises (@p179 @p178) :args ((not @t90) @t96 @t97)) % 0.39/0.57 (step @p181 :rule cnf_or_pos :args (@t100)) % 0.39/0.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t90 @t99 (not @t100)))) % 0.39/0.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p176) :args (@t99 @t101 (@list @t90 @t100))) % 0.39/0.57 (step @p184 :rule bool-double-not-elim :args (@t91)) % 0.39/0.57 (step @p185 :rule refl :args (@t95)) % 0.39/0.57 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t95 (not @t92)))) % 0.39/0.57 (step @p187 :rule cnf_or_neg :args (@t95 1)) % 0.39/0.57 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.39/0.57 (step @p189 :rule reordering :premises (@p188) :args ((or @t91 @t95))) % 0.39/0.57 (step @p190 :rule chain_m_resolution :premises (@p189 @p178) :args (@t91 @t96 @t97)) % 0.39/0.57 (step @p191 :rule bool-double-not-elim :args (@t93)) % 0.39/0.57 (step @p192 :rule nary_cong :premises (@p185 @p191) :args ((or @t95 (not @t94)))) % 0.39/0.57 (step @p193 :rule cnf_or_neg :args (@t95 0)) % 0.39/0.57 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.39/0.57 (step @p195 :rule reordering :premises (@p194) :args ((or @t93 @t95))) % 0.39/0.57 (step @p196 :rule chain_m_resolution :premises (@p195 @p178) :args (@t93 @t96 @t97)) % 0.39/0.57 (step @p197 :rule cnf_or_pos :args (@t102)) % 0.39/0.57 (step @p198 :rule reordering :premises (@p197) :args ((or @t94 @t92 @t98 @t103))) % 0.39/0.57 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p190 @p183) :args (@t103 (@list false false true) (@list @t93 @t91 @t98))) % 0.39/0.57 (assume-push @p206 @t104) % 0.39/0.57 (step @p201 :rule instantiate :premises (@p174) :args ((@list @t88 @t87 @t85 @t84))) % 0.39/0.57 (step-pop @p207 :rule scope :premises (@p201)) % 0.39/0.57 (step @p202 :rule process_scope :premises (@p207) :args (@t102)) % 0.39/0.57 (step @p204 :rule implies_elim :premises (@p202)) % 0.39/0.57 (step @p205 false :rule chain_m_resolution :premises (@p204 @p199 @p174) :args (false @t101 (@list @t102 @t104))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------