%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU660^2 : 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 : n008.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU660^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 17:45:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.setukpairinjR Bool) % 0.37/0.56 (declare-const tptp.cartprodmempair1 Bool) % 0.37/0.56 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t3 () (_ (_ tptp.kpair @t2) @t1)) % 0.37/0.56 (define @t4 () (@var "Xu" $$unsorted)) % 0.37/0.56 (define @t5 () (= @t4 @t3)) % 0.37/0.56 (define @t6 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t7 () (_ (_ tptp.in @t1) @t6)) % 0.37/0.56 (define @t8 () (and @t7 @t5)) % 0.37/0.56 (define @t9 () (@list @t1)) % 0.37/0.56 (define @t10 () (exists @t9 @t8)) % 0.37/0.56 (define @t11 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t12 () (_ (_ tptp.in @t2) @t11)) % 0.37/0.56 (define @t13 () (and @t12 @t10)) % 0.37/0.56 (define @t14 () (@list @t2)) % 0.37/0.56 (define @t15 () (exists @t14 @t13)) % 0.37/0.56 (define @t16 () (_ (_ tptp.cartprod @t11) @t6)) % 0.37/0.56 (define @t17 () (_ tptp.in @t4)) % 0.37/0.56 (define @t18 () (_ @t17 @t16)) % 0.37/0.56 (define @t19 () (=> @t18 @t15)) % 0.37/0.56 (define @t20 () (@list @t11 @t6 @t4)) % 0.37/0.56 (define @t21 () (forall @t20 @t19)) % 0.37/0.56 (define @t22 () (= tptp.cartprodmempair1 @t21)) % 0.37/0.56 (define @t23 () (@var "Xz" $$unsorted)) % 0.37/0.56 (define @t24 () (_ (_ tptp.kpair @t23) @t4)) % 0.37/0.56 (define @t25 () (= @t3 @t24)) % 0.37/0.56 (define @t26 () (=> @t25 (= @t1 @t4))) % 0.37/0.56 (define @t27 () (@list @t2 @t1 @t23 @t4)) % 0.37/0.56 (define @t28 () (forall @t27 @t26)) % 0.37/0.56 (define @t29 () (= tptp.setukpairinjR @t28)) % 0.37/0.56 (define @t30 () (_ (_ tptp.in @t3) @t16)) % 0.37/0.56 (define @t31 () (@list @t11 @t6 @t2 @t1)) % 0.37/0.56 (define @t32 () (forall @t31 (=> @t30 @t7))) % 0.37/0.56 (define @t33 () (=> tptp.setukpairinjR @t32)) % 0.37/0.56 (define @t34 () (=> tptp.cartprodmempair1 @t33)) % 0.37/0.56 (define @t35 () (not @t34)) % 0.37/0.56 (define @t36 () (tptp.in @t1 @t6)) % 0.37/0.56 (define @t37 () (tptp.cartprod @t11 @t6)) % 0.37/0.56 (define @t38 () (tptp.kpair @t2 @t1)) % 0.37/0.56 (define @t39 () (tptp.in @t38 @t37)) % 0.37/0.56 (define @t40 () (forall @t31 (or (not @t39) @t36))) % 0.37/0.56 (define @t41 () (= @t4 @t1)) % 0.37/0.56 (define @t42 () (tptp.kpair @t23 @t4)) % 0.37/0.56 (define @t43 () (not @t25)) % 0.37/0.56 (define @t44 () (or @t43 @t41)) % 0.37/0.56 (define @t45 () (=> tptp.setukpairinjR @t40)) % 0.37/0.56 (define @t46 () (@var "BOUND_VARIABLE_7485" $$unsorted)) % 0.37/0.56 (define @t47 () (tptp.kpair @t2 @t46)) % 0.37/0.56 (define @t48 () (not (= @t4 @t47))) % 0.37/0.56 (define @t49 () (not (tptp.in @t46 @t6))) % 0.37/0.56 (define @t50 () (tptp.in @t2 @t11)) % 0.37/0.56 (define @t51 () (not @t50)) % 0.37/0.56 (define @t52 () (or @t51 @t49 @t48)) % 0.37/0.56 (define @t53 () (@list @t2 @t46)) % 0.37/0.56 (define @t54 () (not (forall @t53 @t52))) % 0.37/0.56 (define @t55 () (tptp.in @t4 @t37)) % 0.37/0.56 (define @t56 () (not @t18)) % 0.37/0.56 (define @t57 () (or @t56 @t54)) % 0.37/0.56 (define @t58 () (or @t49 @t48)) % 0.37/0.56 (define @t59 () (or @t51 @t58)) % 0.37/0.56 (define @t60 () (forall @t53 @t59)) % 0.37/0.56 (define @t61 () (@list @t46)) % 0.37/0.56 (define @t62 () (forall @t61 @t59)) % 0.37/0.56 (define @t63 () (forall @t61 @t58)) % 0.37/0.56 (define @t64 () (or @t51 @t63)) % 0.37/0.56 (define @t65 () (forall @t9 (or (not @t36) (not (= @t4 @t38))))) % 0.37/0.56 (define @t66 () (not @t12)) % 0.37/0.56 (define @t67 () (or @t66 @t65)) % 0.37/0.56 (define @t68 () (not @t65)) % 0.37/0.56 (define @t69 () (and @t12 @t68)) % 0.37/0.56 (define @t70 () (forall @t14 (not @t69))) % 0.37/0.56 (define @t71 () (not @t70)) % 0.37/0.56 (define @t72 () (not @t5)) % 0.37/0.56 (define @t73 () (not @t7)) % 0.37/0.56 (define @t74 () (or @t73 @t72)) % 0.37/0.56 (define @t75 () (forall @t9 (not @t8))) % 0.37/0.56 (define @t76 () (not @t75)) % 0.37/0.56 (define @t77 () (=> tptp.cartprodmempair1 @t45)) % 0.37/0.56 (define @t78 () (not @t30)) % 0.37/0.56 (define @t79 () (or @t78 @t7)) % 0.37/0.56 (define @t80 () (@quantifiers_skolemize @t40 3)) % 0.37/0.56 (define @t81 () (@quantifiers_skolemize @t40 2)) % 0.37/0.56 (define @t82 () (tptp.kpair @t81 @t80)) % 0.37/0.56 (define @t83 () (not (= @t82 @t47))) % 0.37/0.56 (define @t84 () (@quantifiers_skolemize @t40 1)) % 0.37/0.56 (define @t85 () (not (tptp.in @t46 @t84))) % 0.37/0.56 (define @t86 () (@quantifiers_skolemize @t40 0)) % 0.37/0.56 (define @t87 () (not (tptp.in @t2 @t86))) % 0.37/0.56 (define @t88 () (or @t87 @t85 @t83)) % 0.37/0.56 (define @t89 () (forall @t53 @t88)) % 0.37/0.56 (define @t90 () (not @t89)) % 0.37/0.56 (define @t91 () (tptp.in @t82 (tptp.cartprod @t86 @t84))) % 0.37/0.56 (define @t92 () (not @t91)) % 0.37/0.56 (define @t93 () (or @t92 @t90)) % 0.37/0.56 (define @t94 () (forall @t20 (or (not @t55) @t54))) % 0.37/0.56 (define @t95 () (forall @t53 (or @t87 @t85 (not (= @t47 @t82))))) % 0.37/0.56 (define @t96 () (not @t95)) % 0.37/0.56 (define @t97 () (or @t92 @t96)) % 0.37/0.56 (define @t98 () (@list false)) % 0.37/0.56 (define @t99 () (tptp.in @t80 @t84)) % 0.37/0.56 (define @t100 () (or @t92 @t99)) % 0.37/0.56 (define @t101 () (@list true)) % 0.37/0.56 (define @t102 () (@list @t100)) % 0.37/0.56 (define @t103 () (@list false false)) % 0.37/0.56 (define @t104 () (@quantifiers_skolemize @t95 1)) % 0.37/0.56 (define @t105 () (@quantifiers_skolemize @t95 0)) % 0.37/0.56 (define @t106 () (tptp.kpair @t105 @t104)) % 0.37/0.56 (define @t107 () (= @t82 @t106)) % 0.37/0.56 (define @t108 () (not @t107)) % 0.37/0.56 (define @t109 () (tptp.in @t104 @t84)) % 0.37/0.56 (define @t110 () (not @t109)) % 0.37/0.56 (define @t111 () (not (tptp.in @t105 @t86))) % 0.37/0.56 (define @t112 () (or @t111 @t110 @t108)) % 0.37/0.56 (define @t113 () (not @t112)) % 0.37/0.56 (define @t114 () (not (= @t106 @t82))) % 0.37/0.56 (define @t115 () (or @t111 @t110 @t114)) % 0.37/0.56 (define @t116 () (not @t115)) % 0.37/0.56 (define @t117 () (@list @t112)) % 0.37/0.56 (define @t118 () (or @t108 (= @t104 @t80))) % 0.37/0.56 (define @t119 () (forall @t27 (or (not (= @t38 @t42)) @t41))) % 0.37/0.56 (define @t120 () (= @t80 @t104)) % 0.37/0.56 (define @t121 () (or @t108 @t120)) % 0.37/0.56 (assume @p1 @t22) % 0.37/0.56 (assume @p2 @t29) % 0.37/0.56 (assume @p3 @t35) % 0.37/0.56 (assume @p4 true) % 0.37/0.56 (step @p5 :rule evaluate :args ((= false true))) % 0.37/0.56 (step @p6 :rule refl :args (@t40)) % 0.37/0.56 (step @p7 :rule refl :args (@t41)) % 0.37/0.56 (step @p8 :rule refl :args (@t42)) % 0.37/0.56 (step @p9 :rule refl :args (@t24)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t24 @t42))) % 0.37/0.56 (step @p11 :rule symm :premises (@p10)) % 0.37/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.37/0.56 (step @p13 :rule refl :args (@t38)) % 0.37/0.56 (step @p14 :rule refl :args (@t3)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t3 @t38))) % 0.37/0.56 (step @p16 :rule symm :premises (@p15)) % 0.37/0.56 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17 @p12) :args (@t25)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18) :args (@t43)) % 0.37/0.56 (step @p20 :rule nary_cong :premises (@p19 @p7) :args (@t44)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args ((forall @t27 @t44))) % 0.37/0.56 (step @p22 :rule bool-impl-elim :args (@t25 @t41)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t27 (=> @t25 @t41)))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p21)) % 0.37/0.56 (step @p25 :rule eq-symm :args (@t1 @t4)) % 0.37/0.56 (step @p26 :rule refl :args (@t25)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args (@t26)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p24)) % 0.37/0.56 (step @p30 :rule refl :args (tptp.setukpairinjR)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t29)) % 0.37/0.56 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32 @p6) :args (@t45)) % 0.37/0.56 (step @p34 :rule refl :args (@t54)) % 0.37/0.56 (step @p35 :rule refl :args ((tptp.in @t4 @t16))) % 0.37/0.56 (step @p36 :rule refl :args (@t37)) % 0.37/0.56 (step @p37 :rule refl :args (@t4)) % 0.37/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t55)) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p35)) % 0.37/0.56 (step @p40 :rule refl :args (@t17)) % 0.37/0.56 (step @p41 :rule ho_cong :premises (@p40 @p36)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41 @p39) :args ((= (_ @t17 @t37) @t55))) % 0.37/0.56 (step @p43 :rule symm :premises (@p42)) % 0.37/0.56 (step @p44 :rule refl :args (@t18)) % 0.37/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule refl :args (@t16)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46 @p36) :args ((= @t16 @t37))) % 0.37/0.57 (step @p48 :rule symm :premises (@p47)) % 0.37/0.57 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.37/0.57 (step @p50 :rule ho_cong :premises (@p40 @p49)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p45)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args (@t56)) % 0.37/0.57 (step @p53 :rule nary_cong :premises (@p52 @p34) :args (@t57)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53) :args ((forall @t20 @t57))) % 0.37/0.57 (step @p55 :rule bool-impl-elim :args (@t18 @t54)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t20 (=> @t18 @t54)))) % 0.37/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.57 (step @p58 :rule aci_norm :args ((= @t59 @t52))) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t60)) % 0.37/0.57 (step @p60 :rule quant-merge-prenex :args ((= (forall @t14 @t62) @t60))) % 0.37/0.57 (step @p61 :rule alpha_equiv :args (@t63 (@list @t46) (@list @t1))) % 0.37/0.57 (step @p62 :rule refl :args (@t51)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t64)) % 0.37/0.57 (step @p64 :rule quant-miniscope-or :args ((= @t62 @t64))) % 0.37/0.57 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.57 (step @p66 :rule symm :premises (@p65)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66) :args ((forall @t14 (or @t51 @t65)))) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p60)) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p59)) % 0.37/0.57 (step @p70 :rule refl :args (@t65)) % 0.37/0.57 (step @p71 :rule refl :args (@t50)) % 0.37/0.57 (step @p72 :rule refl :args (@t12)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t12 @t50))) % 0.37/0.57 (step @p74 :rule symm :premises (@p73)) % 0.37/0.57 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.37/0.57 (step @p76 :rule cong :premises (@p75) :args (@t66)) % 0.37/0.57 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t67)) % 0.37/0.57 (step @p78 :rule cong :premises (@p77) :args ((forall @t14 @t67))) % 0.37/0.57 (step @p79 :rule trans :premises (@p78 @p69)) % 0.37/0.57 (step @p80 :rule bool-double-not-elim :args (@t65)) % 0.37/0.57 (step @p81 :rule refl :args (@t66)) % 0.37/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t66 (not @t68)))) % 0.37/0.57 (step @p83 :rule bool-and-de-morgan :args (@t12 @t68 true)) % 0.37/0.57 (step @p84 :rule trans :premises (@p83 @p82)) % 0.37/0.57 (step @p85 :rule cong :premises (@p84) :args (@t70)) % 0.37/0.57 (step @p86 :rule trans :premises (@p85 @p79)) % 0.37/0.57 (step @p87 :rule cong :premises (@p86) :args (@t71)) % 0.37/0.57 (step @p88 :rule exists-elim :args ((= (exists @t14 @t69) @t71))) % 0.37/0.57 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.57 (step @p90 :rule cong :premises (@p37 @p17) :args (@t5)) % 0.37/0.57 (step @p91 :rule cong :premises (@p90) :args (@t72)) % 0.37/0.57 (step @p92 :rule refl :args (@t36)) % 0.37/0.57 (step @p93 :rule refl :args (@t7)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t7 @t36))) % 0.37/0.57 (step @p95 :rule symm :premises (@p94)) % 0.37/0.57 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.37/0.57 (step @p97 :rule cong :premises (@p96) :args (@t73)) % 0.37/0.57 (step @p98 :rule nary_cong :premises (@p97 @p91) :args (@t74)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 @t74))) % 0.37/0.57 (step @p100 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.37/0.57 (step @p101 :rule cong :premises (@p100) :args (@t75)) % 0.37/0.57 (step @p102 :rule trans :premises (@p101 @p99)) % 0.37/0.57 (step @p103 :rule cong :premises (@p102) :args (@t76)) % 0.37/0.57 (step @p104 :rule exists-elim :args ((= @t10 @t76))) % 0.37/0.57 (step @p105 :rule trans :premises (@p104 @p103)) % 0.37/0.57 (step @p106 :rule refl :args (@t12)) % 0.37/0.57 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t13)) % 0.37/0.57 (step @p108 :rule cong :premises (@p107) :args (@t15)) % 0.37/0.57 (step @p109 :rule trans :premises (@p108 @p89)) % 0.37/0.57 (step @p110 :rule refl :args (@t18)) % 0.37/0.57 (step @p111 :rule cong :premises (@p110 @p109) :args (@t19)) % 0.37/0.57 (step @p112 :rule cong :premises (@p111) :args (@t21)) % 0.37/0.57 (step @p113 :rule trans :premises (@p112 @p57)) % 0.37/0.57 (step @p114 :rule refl :args (tptp.cartprodmempair1)) % 0.37/0.57 (step @p115 :rule cong :premises (@p114 @p113) :args (@t22)) % 0.37/0.57 (step @p116 :rule eq_resolve :premises (@p1 @p115)) % 0.37/0.57 (step @p117 :rule cong :premises (@p116 @p33) :args (@t77)) % 0.37/0.57 (step @p118 :rule cong :premises (@p117) :args ((not @t77))) % 0.37/0.57 (step @p119 :rule refl :args ((tptp.in @t3 @t16))) % 0.37/0.57 (step @p120 :rule cong :premises (@p13 @p36) :args (@t39)) % 0.37/0.57 (step @p121 :rule trans :premises (@p120 @p119)) % 0.37/0.57 (step @p122 :rule refl :args (tptp.in)) % 0.37/0.57 (step @p123 :rule ho_cong :premises (@p122 @p13)) % 0.37/0.57 (step @p124 :rule ho_cong :premises (@p123 @p36)) % 0.37/0.57 (step @p125 :rule cong :premises (@p124 @p121) :args ((= (_ (_ tptp.in @t38) @t37) @t39))) % 0.37/0.57 (step @p126 :rule symm :premises (@p125)) % 0.37/0.57 (step @p127 :rule refl :args (@t30)) % 0.37/0.57 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.37/0.57 (step @p129 :rule ho_cong :premises (@p122 @p17)) % 0.37/0.57 (step @p130 :rule ho_cong :premises (@p129 @p49)) % 0.37/0.57 (step @p131 :rule trans :premises (@p130 @p128)) % 0.37/0.57 (step @p132 :rule cong :premises (@p131) :args (@t78)) % 0.37/0.57 (step @p133 :rule nary_cong :premises (@p132 @p96) :args (@t79)) % 0.37/0.57 (step @p134 :rule cong :premises (@p133) :args ((forall @t31 @t79))) % 0.37/0.57 (step @p135 :rule bool-impl-elim :args (@t30 @t7)) % 0.37/0.57 (step @p136 :rule cong :premises (@p135) :args (@t32)) % 0.37/0.57 (step @p137 :rule trans :premises (@p136 @p134)) % 0.37/0.57 (step @p138 :rule cong :premises (@p30 @p137) :args (@t33)) % 0.37/0.57 (step @p139 :rule cong :premises (@p114 @p138) :args (@t34)) % 0.37/0.57 (step @p140 :rule cong :premises (@p139) :args (@t35)) % 0.37/0.57 (step @p141 :rule trans :premises (@p140 @p118)) % 0.37/0.57 (step @p142 :rule eq_resolve :premises (@p3 @p141)) % 0.37/0.57 (step @p143 :rule not_implies_elim1 :premises (@p142)) % 0.37/0.57 (step @p144 :rule eq-symm :args (@t82 @t47)) % 0.37/0.57 (step @p145 :rule cong :premises (@p144) :args (@t83)) % 0.37/0.57 (step @p146 :rule refl :args (@t85)) % 0.37/0.57 (step @p147 :rule refl :args (@t87)) % 0.37/0.57 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t88)) % 0.37/0.57 (step @p149 :rule cong :premises (@p148) :args (@t89)) % 0.37/0.57 (step @p150 :rule cong :premises (@p149) :args (@t90)) % 0.37/0.57 (step @p151 :rule refl :args (@t92)) % 0.37/0.57 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t93)) % 0.37/0.57 (step @p153 :rule refl :args (@t94)) % 0.37/0.57 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t94 @t93))) % 0.37/0.57 (assume-push @p232 @t94) % 0.37/0.57 (step @p156 :rule instantiate :premises (@p143) :args ((@list @t86 @t84 @t82))) % 0.37/0.57 (step-pop @p233 :rule scope :premises (@p156)) % 0.37/0.57 (step @p157 :rule process_scope :premises (@p233) :args (@t93)) % 0.37/0.57 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 0.37/0.57 (step @p160 :rule implies_elim :premises (@p159)) % 0.37/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p143) :args (@t97 @t98 (@list @t94))) % 0.37/0.57 (step @p162 :rule not_implies_elim2 :premises (@p142)) % 0.37/0.57 (step @p163 :rule not_implies_elim2 :premises (@p162)) % 0.37/0.57 (step @p164 :rule skolemize :premises (@p163)) % 0.37/0.57 (step @p165 :rule bool-double-not-elim :args (@t91)) % 0.37/0.57 (step @p166 :rule refl :args (@t100)) % 0.37/0.57 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t100 (not @t92)))) % 0.37/0.57 (step @p168 :rule cnf_or_neg :args (@t100 0)) % 0.37/0.57 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.37/0.57 (step @p170 :rule reordering :premises (@p169) :args ((or @t91 @t100))) % 0.37/0.57 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t91 @t101 @t102)) % 0.37/0.57 (step @p172 :rule cnf_or_pos :args (@t97)) % 0.37/0.57 (step @p173 :rule reordering :premises (@p172) :args ((or @t92 @t96 (not @t97)))) % 0.37/0.57 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p161) :args (@t96 @t103 (@list @t91 @t97))) % 0.37/0.57 (step @p175 :rule refl :args (@t113)) % 0.37/0.57 (step @p176 :rule bool-double-not-elim :args (@t95)) % 0.37/0.57 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or (not @t96) @t113))) % 0.37/0.57 (step @p178 :rule eq-symm :args (@t106 @t82)) % 0.37/0.57 (step @p179 :rule cong :premises (@p178) :args (@t114)) % 0.37/0.57 (step @p180 :rule refl :args (@t110)) % 0.37/0.57 (step @p181 :rule refl :args (@t111)) % 0.37/0.57 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t115)) % 0.37/0.57 (step @p183 :rule cong :premises (@p182) :args (@t116)) % 0.37/0.57 (step @p184 :rule refl :args (@t96)) % 0.37/0.57 (step @p185 :rule cong :premises (@p184 @p183) :args ((=> @t96 @t116))) % 0.37/0.57 (assume-push @p234 @t96) % 0.37/0.57 (step @p187 :rule skolemize :premises (@p174)) % 0.37/0.57 (step-pop @p235 :rule scope :premises (@p187)) % 0.37/0.57 (step @p188 :rule process_scope :premises (@p235) :args (@t116)) % 0.37/0.57 (step @p190 :rule eq_resolve :premises (@p188 @p185)) % 0.37/0.57 (step @p191 :rule implies_elim :premises (@p190)) % 0.37/0.57 (step @p192 :rule eq_resolve :premises (@p191 @p177)) % 0.37/0.57 (step @p193 :rule chain_m_resolution :premises (@p192 @p174) :args (@t113 @t101 (@list @t95))) % 0.37/0.57 (step @p194 :rule bool-double-not-elim :args (@t109)) % 0.37/0.57 (step @p195 :rule refl :args (@t112)) % 0.37/0.57 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t112 (not @t110)))) % 0.37/0.57 (step @p197 :rule cnf_or_neg :args (@t112 1)) % 0.37/0.57 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.37/0.57 (step @p199 :rule reordering :premises (@p198) :args ((or @t109 @t112))) % 0.37/0.57 (step @p200 :rule chain_m_resolution :premises (@p199 @p193) :args (@t109 @t101 @t117)) % 0.37/0.57 (step @p201 :rule true_intro :premises (@p200)) % 0.37/0.57 (step @p202 :rule refl :args (@t84)) % 0.37/0.57 (step @p203 :rule not_implies_elim1 :premises (@p162)) % 0.37/0.57 (step @p204 :rule eq-symm :args (@t104 @t80)) % 0.37/0.57 (step @p205 :rule refl :args (@t108)) % 0.37/0.57 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t118)) % 0.37/0.57 (step @p207 :rule refl :args (@t119)) % 0.37/0.57 (step @p208 :rule cong :premises (@p207 @p206) :args ((=> @t119 @t118))) % 0.37/0.57 (assume-push @p236 @t119) % 0.37/0.57 (step @p210 :rule instantiate :premises (@p203) :args ((@list @t81 @t80 @t105 @t104))) % 0.37/0.57 (step-pop @p237 :rule scope :premises (@p210)) % 0.37/0.57 (step @p211 :rule process_scope :premises (@p237) :args (@t118)) % 0.37/0.57 (step @p213 :rule eq_resolve :premises (@p211 @p208)) % 0.37/0.57 (step @p214 :rule implies_elim :premises (@p213)) % 0.37/0.57 (step @p215 :rule chain_m_resolution :premises (@p214 @p203) :args (@t121 @t98 (@list @t119))) % 0.37/0.57 (step @p216 :rule bool-double-not-elim :args (@t107)) % 0.37/0.57 (step @p217 :rule nary_cong :premises (@p195 @p216) :args ((or @t112 (not @t108)))) % 0.37/0.57 (step @p218 :rule cnf_or_neg :args (@t112 2)) % 0.37/0.57 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.37/0.57 (step @p220 :rule reordering :premises (@p219) :args ((or @t107 @t112))) % 0.37/0.57 (step @p221 :rule chain_m_resolution :premises (@p220 @p193) :args (@t107 @t101 @t117)) % 0.37/0.57 (step @p222 :rule cnf_or_pos :args (@t121)) % 0.37/0.57 (step @p223 :rule reordering :premises (@p222) :args ((or @t108 @t120 (not @t121)))) % 0.37/0.57 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p215) :args (@t120 @t103 (@list @t107 @t121))) % 0.37/0.57 (step @p225 :rule cong :premises (@p224 @p202) :args (@t99)) % 0.37/0.57 (step @p226 :rule cnf_or_neg :args (@t100 1)) % 0.37/0.57 (step @p227 :rule chain_m_resolution :premises (@p226 @p164) :args ((not @t99) @t101 @t102)) % 0.37/0.57 (step @p228 :rule false_intro :premises (@p227)) % 0.37/0.57 (step @p229 :rule symm :premises (@p228)) % 0.37/0.57 (step @p230 :rule trans :premises (@p229 @p225 @p201)) % 0.37/0.57 (step @p231 false :rule eq_resolve :premises (@p230 @p5)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------