%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU659^2 : 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 : n016.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 08:52:37 AM UTC 2026 % Result : Theorem 0.34s 0.54s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU659^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:45:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.20/0.48 %----Proving TH0 % 0.34/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.54 % SZS status Theorem % 0.34/0.54 % SZS output start Proof % 0.34/0.54 ( % 0.34/0.54 (declare-sort $$unsorted 0) % 0.34/0.54 (declare-const tptp.setukpairinjL Bool) % 0.34/0.54 (declare-const tptp.cartprodmempair1 Bool) % 0.34/0.54 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.54 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.54 (define @t1 () (@var "Xy" $$unsorted)) % 0.34/0.54 (define @t2 () (@var "Xx" $$unsorted)) % 0.34/0.54 (define @t3 () (_ (_ tptp.kpair @t2) @t1)) % 0.34/0.54 (define @t4 () (@var "Xu" $$unsorted)) % 0.34/0.54 (define @t5 () (= @t4 @t3)) % 0.34/0.54 (define @t6 () (@var "B" $$unsorted)) % 0.34/0.54 (define @t7 () (_ (_ tptp.in @t1) @t6)) % 0.34/0.54 (define @t8 () (and @t7 @t5)) % 0.34/0.54 (define @t9 () (@list @t1)) % 0.34/0.54 (define @t10 () (exists @t9 @t8)) % 0.34/0.54 (define @t11 () (@var "A" $$unsorted)) % 0.34/0.54 (define @t12 () (_ (_ tptp.in @t2) @t11)) % 0.34/0.54 (define @t13 () (and @t12 @t10)) % 0.34/0.54 (define @t14 () (@list @t2)) % 0.34/0.54 (define @t15 () (exists @t14 @t13)) % 0.34/0.54 (define @t16 () (_ (_ tptp.cartprod @t11) @t6)) % 0.34/0.54 (define @t17 () (_ tptp.in @t4)) % 0.34/0.54 (define @t18 () (_ @t17 @t16)) % 0.34/0.54 (define @t19 () (=> @t18 @t15)) % 0.34/0.54 (define @t20 () (@list @t11 @t6 @t4)) % 0.34/0.54 (define @t21 () (forall @t20 @t19)) % 0.34/0.54 (define @t22 () (= tptp.cartprodmempair1 @t21)) % 0.34/0.54 (define @t23 () (@var "Xz" $$unsorted)) % 0.34/0.54 (define @t24 () (= @t2 @t23)) % 0.34/0.54 (define @t25 () (_ (_ tptp.kpair @t23) @t4)) % 0.34/0.54 (define @t26 () (= @t3 @t25)) % 0.34/0.54 (define @t27 () (@list @t2 @t1 @t23 @t4)) % 0.34/0.54 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.34/0.54 (define @t29 () (= tptp.setukpairinjL @t28)) % 0.34/0.54 (define @t30 () (_ (_ tptp.in @t3) @t16)) % 0.34/0.54 (define @t31 () (@list @t11 @t6 @t2 @t1)) % 0.34/0.54 (define @t32 () (forall @t31 (=> @t30 @t12))) % 0.34/0.54 (define @t33 () (=> tptp.setukpairinjL @t32)) % 0.34/0.54 (define @t34 () (=> tptp.cartprodmempair1 @t33)) % 0.34/0.54 (define @t35 () (not @t34)) % 0.34/0.54 (define @t36 () (tptp.in @t2 @t11)) % 0.34/0.54 (define @t37 () (tptp.cartprod @t11 @t6)) % 0.34/0.54 (define @t38 () (tptp.kpair @t2 @t1)) % 0.34/0.54 (define @t39 () (tptp.in @t38 @t37)) % 0.34/0.54 (define @t40 () (forall @t31 (or (not @t39) @t36))) % 0.34/0.54 (define @t41 () (tptp.kpair @t23 @t4)) % 0.34/0.54 (define @t42 () (not @t26)) % 0.34/0.54 (define @t43 () (or @t42 @t24)) % 0.34/0.54 (define @t44 () (=> tptp.setukpairinjL @t40)) % 0.34/0.54 (define @t45 () (@var "BOUND_VARIABLE_7485" $$unsorted)) % 0.34/0.54 (define @t46 () (tptp.kpair @t2 @t45)) % 0.34/0.54 (define @t47 () (not (= @t4 @t46))) % 0.34/0.54 (define @t48 () (not (tptp.in @t45 @t6))) % 0.34/0.54 (define @t49 () (not @t36)) % 0.34/0.54 (define @t50 () (or @t49 @t48 @t47)) % 0.34/0.54 (define @t51 () (@list @t2 @t45)) % 0.34/0.54 (define @t52 () (not (forall @t51 @t50))) % 0.34/0.54 (define @t53 () (tptp.in @t4 @t37)) % 0.34/0.54 (define @t54 () (not @t18)) % 0.34/0.54 (define @t55 () (or @t54 @t52)) % 0.34/0.54 (define @t56 () (or @t48 @t47)) % 0.34/0.54 (define @t57 () (or @t49 @t56)) % 0.34/0.54 (define @t58 () (forall @t51 @t57)) % 0.34/0.54 (define @t59 () (@list @t45)) % 0.34/0.54 (define @t60 () (forall @t59 @t57)) % 0.34/0.54 (define @t61 () (forall @t59 @t56)) % 0.34/0.54 (define @t62 () (or @t49 @t61)) % 0.34/0.54 (define @t63 () (tptp.in @t1 @t6)) % 0.34/0.54 (define @t64 () (forall @t9 (or (not @t63) (not (= @t4 @t38))))) % 0.34/0.54 (define @t65 () (not @t12)) % 0.34/0.54 (define @t66 () (or @t65 @t64)) % 0.34/0.54 (define @t67 () (not @t64)) % 0.34/0.54 (define @t68 () (and @t12 @t67)) % 0.34/0.54 (define @t69 () (forall @t14 (not @t68))) % 0.34/0.54 (define @t70 () (not @t69)) % 0.34/0.54 (define @t71 () (not @t5)) % 0.34/0.54 (define @t72 () (not @t7)) % 0.34/0.54 (define @t73 () (or @t72 @t71)) % 0.34/0.54 (define @t74 () (forall @t9 (not @t8))) % 0.34/0.54 (define @t75 () (not @t74)) % 0.34/0.54 (define @t76 () (=> tptp.cartprodmempair1 @t44)) % 0.34/0.54 (define @t77 () (not @t30)) % 0.34/0.54 (define @t78 () (or @t77 @t12)) % 0.34/0.54 (define @t79 () (@quantifiers_skolemize @t40 3)) % 0.34/0.54 (define @t80 () (@quantifiers_skolemize @t40 2)) % 0.34/0.54 (define @t81 () (tptp.kpair @t80 @t79)) % 0.34/0.54 (define @t82 () (not (= @t81 @t46))) % 0.34/0.54 (define @t83 () (@quantifiers_skolemize @t40 1)) % 0.34/0.54 (define @t84 () (not (tptp.in @t45 @t83))) % 0.34/0.54 (define @t85 () (@quantifiers_skolemize @t40 0)) % 0.34/0.54 (define @t86 () (not (tptp.in @t2 @t85))) % 0.34/0.54 (define @t87 () (or @t86 @t84 @t82)) % 0.34/0.54 (define @t88 () (forall @t51 @t87)) % 0.34/0.54 (define @t89 () (not @t88)) % 0.34/0.54 (define @t90 () (tptp.in @t81 (tptp.cartprod @t85 @t83))) % 0.34/0.54 (define @t91 () (not @t90)) % 0.34/0.54 (define @t92 () (or @t91 @t89)) % 0.34/0.54 (define @t93 () (forall @t20 (or (not @t53) @t52))) % 0.34/0.54 (define @t94 () (forall @t51 (or @t86 @t84 (not (= @t46 @t81))))) % 0.34/0.54 (define @t95 () (not @t94)) % 0.34/0.54 (define @t96 () (or @t91 @t95)) % 0.34/0.54 (define @t97 () (tptp.in @t80 @t85)) % 0.34/0.54 (define @t98 () (or @t91 @t97)) % 0.34/0.54 (define @t99 () (@list true)) % 0.34/0.54 (define @t100 () (@list @t98)) % 0.34/0.54 (define @t101 () (@list false false)) % 0.34/0.54 (define @t102 () (@quantifiers_skolemize @t94 1)) % 0.34/0.54 (define @t103 () (@quantifiers_skolemize @t94 0)) % 0.34/0.54 (define @t104 () (tptp.kpair @t103 @t102)) % 0.34/0.54 (define @t105 () (= @t81 @t104)) % 0.34/0.54 (define @t106 () (not @t105)) % 0.34/0.54 (define @t107 () (not (tptp.in @t102 @t83))) % 0.34/0.54 (define @t108 () (tptp.in @t103 @t85)) % 0.34/0.54 (define @t109 () (not @t108)) % 0.34/0.54 (define @t110 () (or @t109 @t107 @t106)) % 0.34/0.54 (define @t111 () (not @t110)) % 0.34/0.54 (define @t112 () (not (= @t104 @t81))) % 0.34/0.54 (define @t113 () (or @t109 @t107 @t112)) % 0.34/0.54 (define @t114 () (not @t113)) % 0.34/0.54 (define @t115 () (@list @t110)) % 0.34/0.54 (define @t116 () (= @t80 @t103)) % 0.34/0.54 (define @t117 () (or @t106 @t116)) % 0.34/0.54 (assume @p1 @t22) % 0.34/0.54 (assume @p2 @t29) % 0.34/0.54 (assume @p3 @t35) % 0.34/0.54 (assume @p4 true) % 0.34/0.54 (step @p5 :rule evaluate :args ((= false true))) % 0.34/0.54 (step @p6 :rule refl :args (@t40)) % 0.34/0.54 (step @p7 :rule refl :args (@t24)) % 0.34/0.54 (step @p8 :rule refl :args (@t41)) % 0.34/0.54 (step @p9 :rule refl :args (@t25)) % 0.34/0.54 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t25 @t41))) % 0.34/0.54 (step @p11 :rule symm :premises (@p10)) % 0.34/0.54 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.34/0.54 (step @p13 :rule refl :args (@t38)) % 0.34/0.54 (step @p14 :rule refl :args (@t3)) % 0.34/0.54 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t3 @t38))) % 0.34/0.54 (step @p16 :rule symm :premises (@p15)) % 0.34/0.54 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.34/0.54 (step @p18 :rule cong :premises (@p17 @p12) :args (@t26)) % 0.34/0.54 (step @p19 :rule cong :premises (@p18) :args (@t42)) % 0.34/0.54 (step @p20 :rule nary_cong :premises (@p19 @p7) :args (@t43)) % 0.34/0.54 (step @p21 :rule cong :premises (@p20) :args ((forall @t27 @t43))) % 0.34/0.54 (step @p22 :rule bool-impl-elim :args (@t26 @t24)) % 0.34/0.54 (step @p23 :rule cong :premises (@p22) :args (@t28)) % 0.34/0.54 (step @p24 :rule trans :premises (@p23 @p21)) % 0.34/0.54 (step @p25 :rule refl :args (tptp.setukpairinjL)) % 0.34/0.54 (step @p26 :rule cong :premises (@p25 @p24) :args (@t29)) % 0.34/0.54 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 0.34/0.54 (step @p28 :rule cong :premises (@p27 @p6) :args (@t44)) % 0.34/0.54 (step @p29 :rule refl :args (@t52)) % 0.34/0.54 (step @p30 :rule refl :args ((tptp.in @t4 @t16))) % 0.34/0.54 (step @p31 :rule refl :args (@t37)) % 0.34/0.54 (step @p32 :rule refl :args (@t4)) % 0.34/0.54 (step @p33 :rule cong :premises (@p32 @p31) :args (@t53)) % 0.34/0.54 (step @p34 :rule trans :premises (@p33 @p30)) % 0.34/0.54 (step @p35 :rule refl :args (@t17)) % 0.34/0.54 (step @p36 :rule ho_cong :premises (@p35 @p31)) % 0.34/0.54 (step @p37 :rule cong :premises (@p36 @p34) :args ((= (_ @t17 @t37) @t53))) % 0.34/0.54 (step @p38 :rule symm :premises (@p37)) % 0.34/0.54 (step @p39 :rule refl :args (@t18)) % 0.34/0.54 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.34/0.54 (step @p41 :rule refl :args (@t16)) % 0.34/0.54 (step @p42 :rule cong :premises (@p41 @p31) :args ((= @t16 @t37))) % 0.34/0.54 (step @p43 :rule symm :premises (@p42)) % 0.34/0.54 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.34/0.54 (step @p45 :rule ho_cong :premises (@p35 @p44)) % 0.34/0.54 (step @p46 :rule trans :premises (@p45 @p40)) % 0.34/0.54 (step @p47 :rule cong :premises (@p46) :args (@t54)) % 0.34/0.54 (step @p48 :rule nary_cong :premises (@p47 @p29) :args (@t55)) % 0.34/0.54 (step @p49 :rule cong :premises (@p48) :args ((forall @t20 @t55))) % 0.34/0.54 (step @p50 :rule bool-impl-elim :args (@t18 @t52)) % 0.34/0.54 (step @p51 :rule cong :premises (@p50) :args ((forall @t20 (=> @t18 @t52)))) % 0.34/0.54 (step @p52 :rule trans :premises (@p51 @p49)) % 0.34/0.54 (step @p53 :rule aci_norm :args ((= @t57 @t50))) % 0.34/0.54 (step @p54 :rule cong :premises (@p53) :args (@t58)) % 0.34/0.54 (step @p55 :rule quant-merge-prenex :args ((= (forall @t14 @t60) @t58))) % 0.34/0.54 (step @p56 :rule alpha_equiv :args (@t61 (@list @t45) (@list @t1))) % 0.34/0.54 (step @p57 :rule refl :args (@t49)) % 0.34/0.54 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t62)) % 0.34/0.54 (step @p59 :rule quant-miniscope-or :args ((= @t60 @t62))) % 0.34/0.54 (step @p60 :rule trans :premises (@p59 @p58)) % 0.34/0.54 (step @p61 :rule symm :premises (@p60)) % 0.34/0.54 (step @p62 :rule cong :premises (@p61) :args ((forall @t14 (or @t49 @t64)))) % 0.34/0.54 (step @p63 :rule trans :premises (@p62 @p55)) % 0.34/0.54 (step @p64 :rule trans :premises (@p63 @p54)) % 0.34/0.54 (step @p65 :rule refl :args (@t64)) % 0.34/0.54 (step @p66 :rule refl :args (@t36)) % 0.34/0.54 (step @p67 :rule refl :args (@t12)) % 0.34/0.54 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t12 @t36))) % 0.34/0.54 (step @p69 :rule symm :premises (@p68)) % 0.34/0.54 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.34/0.54 (step @p71 :rule cong :premises (@p70) :args (@t65)) % 0.34/0.54 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t66)) % 0.34/0.54 (step @p73 :rule cong :premises (@p72) :args ((forall @t14 @t66))) % 0.34/0.54 (step @p74 :rule trans :premises (@p73 @p64)) % 0.34/0.54 (step @p75 :rule bool-double-not-elim :args (@t64)) % 0.34/0.54 (step @p76 :rule refl :args (@t65)) % 0.34/0.54 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t65 (not @t67)))) % 0.34/0.54 (step @p78 :rule bool-and-de-morgan :args (@t12 @t67 true)) % 0.34/0.54 (step @p79 :rule trans :premises (@p78 @p77)) % 0.34/0.54 (step @p80 :rule cong :premises (@p79) :args (@t69)) % 0.34/0.54 (step @p81 :rule trans :premises (@p80 @p74)) % 0.34/0.54 (step @p82 :rule cong :premises (@p81) :args (@t70)) % 0.34/0.54 (step @p83 :rule exists-elim :args ((= (exists @t14 @t68) @t70))) % 0.34/0.54 (step @p84 :rule trans :premises (@p83 @p82)) % 0.34/0.54 (step @p85 :rule cong :premises (@p32 @p17) :args (@t5)) % 0.34/0.54 (step @p86 :rule cong :premises (@p85) :args (@t71)) % 0.34/0.54 (step @p87 :rule refl :args (@t63)) % 0.34/0.54 (step @p88 :rule refl :args (@t7)) % 0.34/0.54 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t7 @t63))) % 0.34/0.54 (step @p90 :rule symm :premises (@p89)) % 0.34/0.54 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.34/0.54 (step @p92 :rule cong :premises (@p91) :args (@t72)) % 0.34/0.54 (step @p93 :rule nary_cong :premises (@p92 @p86) :args (@t73)) % 0.34/0.54 (step @p94 :rule cong :premises (@p93) :args ((forall @t9 @t73))) % 0.34/0.54 (step @p95 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.34/0.54 (step @p96 :rule cong :premises (@p95) :args (@t74)) % 0.34/0.54 (step @p97 :rule trans :premises (@p96 @p94)) % 0.34/0.54 (step @p98 :rule cong :premises (@p97) :args (@t75)) % 0.34/0.54 (step @p99 :rule exists-elim :args ((= @t10 @t75))) % 0.34/0.54 (step @p100 :rule trans :premises (@p99 @p98)) % 0.34/0.54 (step @p101 :rule refl :args (@t12)) % 0.34/0.54 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t13)) % 0.34/0.54 (step @p103 :rule cong :premises (@p102) :args (@t15)) % 0.34/0.54 (step @p104 :rule trans :premises (@p103 @p84)) % 0.34/0.54 (step @p105 :rule refl :args (@t18)) % 0.34/0.54 (step @p106 :rule cong :premises (@p105 @p104) :args (@t19)) % 0.34/0.54 (step @p107 :rule cong :premises (@p106) :args (@t21)) % 0.34/0.54 (step @p108 :rule trans :premises (@p107 @p52)) % 0.34/0.54 (step @p109 :rule refl :args (tptp.cartprodmempair1)) % 0.34/0.54 (step @p110 :rule cong :premises (@p109 @p108) :args (@t22)) % 0.34/0.54 (step @p111 :rule eq_resolve :premises (@p1 @p110)) % 0.34/0.54 (step @p112 :rule cong :premises (@p111 @p28) :args (@t76)) % 0.34/0.54 (step @p113 :rule cong :premises (@p112) :args ((not @t76))) % 0.34/0.54 (step @p114 :rule refl :args ((tptp.in @t3 @t16))) % 0.34/0.54 (step @p115 :rule cong :premises (@p13 @p31) :args (@t39)) % 0.34/0.54 (step @p116 :rule trans :premises (@p115 @p114)) % 0.34/0.54 (step @p117 :rule refl :args (tptp.in)) % 0.34/0.54 (step @p118 :rule ho_cong :premises (@p117 @p13)) % 0.34/0.54 (step @p119 :rule ho_cong :premises (@p118 @p31)) % 0.34/0.54 (step @p120 :rule cong :premises (@p119 @p116) :args ((= (_ (_ tptp.in @t38) @t37) @t39))) % 0.34/0.54 (step @p121 :rule symm :premises (@p120)) % 0.34/0.54 (step @p122 :rule refl :args (@t30)) % 0.34/0.54 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.34/0.54 (step @p124 :rule ho_cong :premises (@p117 @p17)) % 0.34/0.54 (step @p125 :rule ho_cong :premises (@p124 @p44)) % 0.34/0.54 (step @p126 :rule trans :premises (@p125 @p123)) % 0.34/0.54 (step @p127 :rule cong :premises (@p126) :args (@t77)) % 0.34/0.54 (step @p128 :rule nary_cong :premises (@p127 @p70) :args (@t78)) % 0.34/0.54 (step @p129 :rule cong :premises (@p128) :args ((forall @t31 @t78))) % 0.34/0.54 (step @p130 :rule bool-impl-elim :args (@t30 @t12)) % 0.34/0.54 (step @p131 :rule cong :premises (@p130) :args (@t32)) % 0.34/0.54 (step @p132 :rule trans :premises (@p131 @p129)) % 0.34/0.54 (step @p133 :rule cong :premises (@p25 @p132) :args (@t33)) % 0.34/0.54 (step @p134 :rule cong :premises (@p109 @p133) :args (@t34)) % 0.34/0.54 (step @p135 :rule cong :premises (@p134) :args (@t35)) % 0.34/0.54 (step @p136 :rule trans :premises (@p135 @p113)) % 0.34/0.54 (step @p137 :rule eq_resolve :premises (@p3 @p136)) % 0.34/0.54 (step @p138 :rule not_implies_elim1 :premises (@p137)) % 0.34/0.54 (step @p139 :rule eq-symm :args (@t81 @t46)) % 0.34/0.54 (step @p140 :rule cong :premises (@p139) :args (@t82)) % 0.34/0.54 (step @p141 :rule refl :args (@t84)) % 0.34/0.54 (step @p142 :rule refl :args (@t86)) % 0.34/0.54 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t87)) % 0.34/0.54 (step @p144 :rule cong :premises (@p143) :args (@t88)) % 0.34/0.54 (step @p145 :rule cong :premises (@p144) :args (@t89)) % 0.34/0.54 (step @p146 :rule refl :args (@t91)) % 0.34/0.54 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t92)) % 0.34/0.54 (step @p148 :rule refl :args (@t93)) % 0.34/0.54 (step @p149 :rule cong :premises (@p148 @p147) :args ((=> @t93 @t92))) % 0.34/0.54 (assume-push @p216 @t93) % 0.34/0.54 (step @p151 :rule instantiate :premises (@p138) :args ((@list @t85 @t83 @t81))) % 0.34/0.54 (step-pop @p217 :rule scope :premises (@p151)) % 0.34/0.54 (step @p152 :rule process_scope :premises (@p217) :args (@t92)) % 0.34/0.54 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 0.34/0.54 (step @p155 :rule implies_elim :premises (@p154)) % 0.34/0.54 (step @p156 :rule chain_m_resolution :premises (@p155 @p138) :args (@t96 (@list false) (@list @t93))) % 0.34/0.54 (step @p157 :rule not_implies_elim2 :premises (@p137)) % 0.34/0.54 (step @p158 :rule not_implies_elim2 :premises (@p157)) % 0.34/0.54 (step @p159 :rule skolemize :premises (@p158)) % 0.34/0.54 (step @p160 :rule bool-double-not-elim :args (@t90)) % 0.34/0.54 (step @p161 :rule refl :args (@t98)) % 0.34/0.54 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t98 (not @t91)))) % 0.34/0.54 (step @p163 :rule cnf_or_neg :args (@t98 0)) % 0.34/0.54 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.34/0.54 (step @p165 :rule reordering :premises (@p164) :args ((or @t90 @t98))) % 0.34/0.54 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t90 @t99 @t100)) % 0.34/0.54 (step @p167 :rule cnf_or_pos :args (@t96)) % 0.34/0.54 (step @p168 :rule reordering :premises (@p167) :args ((or @t91 @t95 (not @t96)))) % 0.34/0.54 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p156) :args (@t95 @t101 (@list @t90 @t96))) % 0.34/0.54 (step @p170 :rule refl :args (@t111)) % 0.34/0.54 (step @p171 :rule bool-double-not-elim :args (@t94)) % 0.34/0.54 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t95) @t111))) % 0.34/0.54 (step @p173 :rule eq-symm :args (@t104 @t81)) % 0.34/0.54 (step @p174 :rule cong :premises (@p173) :args (@t112)) % 0.34/0.54 (step @p175 :rule refl :args (@t107)) % 0.34/0.54 (step @p176 :rule refl :args (@t109)) % 0.34/0.54 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174) :args (@t113)) % 0.34/0.54 (step @p178 :rule cong :premises (@p177) :args (@t114)) % 0.34/0.54 (step @p179 :rule refl :args (@t95)) % 0.34/0.54 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t95 @t114))) % 0.34/0.54 (assume-push @p218 @t95) % 0.34/0.54 (step @p182 :rule skolemize :premises (@p169)) % 0.34/0.54 (step-pop @p219 :rule scope :premises (@p182)) % 0.34/0.54 (step @p183 :rule process_scope :premises (@p219) :args (@t114)) % 0.34/0.54 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.34/0.54 (step @p186 :rule implies_elim :premises (@p185)) % 0.34/0.54 (step @p187 :rule eq_resolve :premises (@p186 @p172)) % 0.34/0.54 (step @p188 :rule chain_m_resolution :premises (@p187 @p169) :args (@t111 @t99 (@list @t94))) % 0.34/0.54 (step @p189 :rule bool-double-not-elim :args (@t108)) % 0.34/0.54 (step @p190 :rule refl :args (@t110)) % 0.34/0.54 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t110 (not @t109)))) % 0.34/0.54 (step @p192 :rule cnf_or_neg :args (@t110 0)) % 0.34/0.54 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.34/0.54 (step @p194 :rule reordering :premises (@p193) :args ((or @t108 @t110))) % 0.34/0.54 (step @p195 :rule chain_m_resolution :premises (@p194 @p188) :args (@t108 @t99 @t115)) % 0.34/0.54 (step @p196 :rule true_intro :premises (@p195)) % 0.34/0.54 (step @p197 :rule refl :args (@t85)) % 0.34/0.54 (step @p198 :rule not_implies_elim1 :premises (@p157)) % 0.34/0.54 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t80 @t79 @t103 @t102))) % 0.34/0.54 (step @p200 :rule bool-double-not-elim :args (@t105)) % 0.34/0.54 (step @p201 :rule nary_cong :premises (@p190 @p200) :args ((or @t110 (not @t106)))) % 0.34/0.54 (step @p202 :rule cnf_or_neg :args (@t110 2)) % 0.34/0.54 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.34/0.54 (step @p204 :rule reordering :premises (@p203) :args ((or @t105 @t110))) % 0.34/0.54 (step @p205 :rule chain_m_resolution :premises (@p204 @p188) :args (@t105 @t99 @t115)) % 0.34/0.54 (step @p206 :rule cnf_or_pos :args (@t117)) % 0.34/0.54 (step @p207 :rule reordering :premises (@p206) :args ((or @t106 @t116 (not @t117)))) % 0.34/0.54 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p199) :args (@t116 @t101 (@list @t105 @t117))) % 0.34/0.54 (step @p209 :rule cong :premises (@p208 @p197) :args (@t97)) % 0.34/0.54 (step @p210 :rule cnf_or_neg :args (@t98 1)) % 0.34/0.54 (step @p211 :rule chain_m_resolution :premises (@p210 @p159) :args ((not @t97) @t99 @t100)) % 0.34/0.54 (step @p212 :rule false_intro :premises (@p211)) % 0.34/0.54 (step @p213 :rule symm :premises (@p212)) % 0.34/0.54 (step @p214 :rule trans :premises (@p213 @p209 @p196)) % 0.34/0.54 (step @p215 false :rule eq_resolve :premises (@p214 @p5)) % 0.34/0.54 ) % 0.34/0.54 % SZS output end Proof % 0.34/0.54 % cvc5 exiting %------------------------------------------------------------------------------