%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET804+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:48:41 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET804+4 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 16:12:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.min (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.greatest (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.lower_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.upper_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.total_order (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.order (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (define @t1 () (@var "Z" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t3 () (@var "R" $$unsorted)) % 0.36/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t5 () (tptp.apply @t3 @t2 @t4)) % 0.36/0.59 (define @t6 () (@var "E" $$unsorted)) % 0.36/0.59 (define @t7 () (tptp.member @t4 @t6)) % 0.36/0.59 (define @t8 () (tptp.member @t2 @t6)) % 0.36/0.59 (define @t9 () (tptp.apply @t3 @t4 @t2)) % 0.36/0.59 (define @t10 () (and @t8 @t7)) % 0.36/0.59 (define @t11 () (@list @t2 @t4)) % 0.36/0.59 (define @t12 () (@list @t2)) % 0.36/0.59 (define @t13 () (tptp.order @t3 @t6)) % 0.36/0.59 (define @t14 () (@list @t3 @t6)) % 0.36/0.59 (define @t15 () (@var "M" $$unsorted)) % 0.36/0.59 (define @t16 () (tptp.apply @t3 @t2 @t15)) % 0.36/0.59 (define @t17 () (forall @t12 (=> @t8 @t16))) % 0.36/0.59 (define @t18 () (@list @t3 @t6 @t15)) % 0.36/0.59 (define @t19 () (tptp.apply @t3 @t15 @t2)) % 0.36/0.59 (define @t20 () (forall @t12 (=> @t8 @t19))) % 0.36/0.59 (define @t21 () (tptp.member @t15 @t6)) % 0.36/0.59 (define @t22 () (and @t21 @t20)) % 0.36/0.59 (define @t23 () (tptp.least @t15 @t3 @t6)) % 0.36/0.59 (define @t24 () (= @t23 @t22)) % 0.36/0.59 (define @t25 () (forall @t18 @t24)) % 0.36/0.59 (define @t26 () (= @t15 @t2)) % 0.36/0.59 (define @t27 () (and @t8 @t16)) % 0.36/0.59 (define @t28 () (=> @t27 @t26)) % 0.36/0.59 (define @t29 () (forall @t12 @t28)) % 0.36/0.59 (define @t30 () (and @t21 @t29)) % 0.36/0.59 (define @t31 () (tptp.min @t15 @t3 @t6)) % 0.36/0.59 (define @t32 () (= @t31 @t30)) % 0.36/0.59 (define @t33 () (forall @t18 @t32)) % 0.36/0.59 (define @t34 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t35 () (@list @t15)) % 0.36/0.59 (define @t36 () (tptp.member @t34 @t2)) % 0.36/0.59 (define @t37 () (@list @t34 @t2 @t3 @t6)) % 0.36/0.59 (define @t38 () (exists @t35 @t23)) % 0.36/0.59 (define @t39 () (not @t38)) % 0.36/0.59 (define @t40 () (@var "M2" $$unsorted)) % 0.36/0.59 (define @t41 () (@var "M1" $$unsorted)) % 0.36/0.59 (define @t42 () (= @t41 @t40)) % 0.36/0.59 (define @t43 () (not @t42)) % 0.36/0.59 (define @t44 () (tptp.min @t40 @t3 @t6)) % 0.36/0.59 (define @t45 () (tptp.min @t41 @t3 @t6)) % 0.36/0.59 (define @t46 () (and @t45 @t44 @t43)) % 0.36/0.59 (define @t47 () (=> @t46 @t39)) % 0.36/0.59 (define @t48 () (@list @t41 @t40)) % 0.36/0.59 (define @t49 () (forall @t48 @t47)) % 0.36/0.59 (define @t50 () (=> @t13 @t49)) % 0.36/0.59 (define @t51 () (forall @t14 @t50)) % 0.36/0.59 (define @t52 () (not @t51)) % 0.36/0.59 (define @t53 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 0.36/0.59 (define @t54 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 0.36/0.59 (define @t55 () (= @t54 @t53)) % 0.36/0.59 (define @t56 () (not (tptp.min @t53 @t3 @t6))) % 0.36/0.59 (define @t57 () (not (tptp.min @t54 @t3 @t6))) % 0.36/0.59 (define @t58 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 0.36/0.59 (define @t59 () (not (tptp.least @t58 @t3 @t6))) % 0.36/0.59 (define @t60 () (not @t13)) % 0.36/0.59 (define @t61 () (or @t60 @t59 @t57 @t56 @t55)) % 0.36/0.59 (define @t62 () (or @t57 @t56 @t55)) % 0.36/0.59 (define @t63 () (or @t60 @t59 @t62)) % 0.36/0.59 (define @t64 () (@list @t3 @t6 @t58 @t54 @t53)) % 0.36/0.59 (define @t65 () (forall @t64 @t63)) % 0.36/0.59 (define @t66 () (forall (@list @t58 @t54 @t53) @t63)) % 0.36/0.59 (define @t67 () (forall (@list @t54 @t53) @t62)) % 0.36/0.59 (define @t68 () (forall (@list @t58) @t59)) % 0.36/0.59 (define @t69 () (or @t60 @t68 @t67)) % 0.36/0.59 (define @t70 () (not @t44)) % 0.36/0.59 (define @t71 () (not @t45)) % 0.36/0.59 (define @t72 () (or @t71 @t70 @t42)) % 0.36/0.59 (define @t73 () (forall @t48 @t72)) % 0.36/0.59 (define @t74 () (forall @t35 (not @t23))) % 0.36/0.59 (define @t75 () (or @t60 @t74 @t73)) % 0.36/0.59 (define @t76 () (or @t74 @t73)) % 0.36/0.59 (define @t77 () (or @t74 @t72)) % 0.36/0.59 (define @t78 () (or @t71 @t70 @t42 @t74)) % 0.36/0.59 (define @t79 () (not @t43)) % 0.36/0.59 (define @t80 () (or @t71 @t70 @t79)) % 0.36/0.59 (define @t81 () (forall @t64 @t61)) % 0.36/0.59 (define @t82 () (@quantifiers_skolemize @t81 4)) % 0.36/0.59 (define @t83 () (@quantifiers_skolemize @t81 3)) % 0.36/0.59 (define @t84 () (= @t83 @t82)) % 0.36/0.59 (define @t85 () (@quantifiers_skolemize @t81 1)) % 0.36/0.59 (define @t86 () (@quantifiers_skolemize @t81 0)) % 0.36/0.59 (define @t87 () (tptp.min @t82 @t86 @t85)) % 0.36/0.59 (define @t88 () (not @t87)) % 0.36/0.59 (define @t89 () (tptp.min @t83 @t86 @t85)) % 0.36/0.59 (define @t90 () (not @t89)) % 0.36/0.59 (define @t91 () (@quantifiers_skolemize @t81 2)) % 0.36/0.59 (define @t92 () (tptp.least @t91 @t86 @t85)) % 0.36/0.59 (define @t93 () (not @t92)) % 0.36/0.59 (define @t94 () (or (not (tptp.order @t86 @t85)) @t93 @t90 @t88 @t84)) % 0.36/0.59 (define @t95 () (not @t84)) % 0.36/0.59 (define @t96 () (@list true)) % 0.36/0.59 (define @t97 () (@list @t94)) % 0.36/0.59 (define @t98 () (= @t2 @t15)) % 0.36/0.59 (define @t99 () (not @t16)) % 0.36/0.59 (define @t100 () (not @t8)) % 0.36/0.59 (define @t101 () (not (tptp.member @t2 @t85))) % 0.36/0.59 (define @t102 () (forall @t12 (or @t101 (not (tptp.apply @t86 @t2 @t83)) (= @t2 @t83)))) % 0.36/0.59 (define @t103 () (tptp.member @t83 @t85)) % 0.36/0.59 (define @t104 () (and @t103 @t102)) % 0.36/0.59 (define @t105 () (= @t89 @t104)) % 0.36/0.59 (define @t106 () (@list false false)) % 0.36/0.59 (define @t107 () (not @t104)) % 0.36/0.59 (define @t108 () (@list false)) % 0.36/0.59 (define @t109 () (@list @t104)) % 0.36/0.59 (define @t110 () (@list @t91)) % 0.36/0.59 (define @t111 () (forall @t12 (or @t101 (tptp.apply @t86 @t91 @t2)))) % 0.36/0.59 (define @t112 () (tptp.member @t91 @t85)) % 0.36/0.59 (define @t113 () (and @t112 @t111)) % 0.36/0.59 (define @t114 () (= @t92 @t113)) % 0.36/0.59 (define @t115 () (not @t113)) % 0.36/0.59 (define @t116 () (@list @t113)) % 0.36/0.59 (define @t117 () (tptp.apply @t86 @t91 @t83)) % 0.36/0.59 (define @t118 () (not @t103)) % 0.36/0.59 (define @t119 () (or @t118 @t117)) % 0.36/0.59 (define @t120 () (= @t91 @t83)) % 0.36/0.59 (define @t121 () (not @t117)) % 0.36/0.59 (define @t122 () (not @t112)) % 0.36/0.59 (define @t123 () (or @t122 @t121 @t120)) % 0.36/0.59 (define @t124 () (@list false false false)) % 0.36/0.59 (define @t125 () (forall @t12 (or @t101 (not (tptp.apply @t86 @t2 @t82)) (= @t2 @t82)))) % 0.36/0.59 (define @t126 () (tptp.member @t82 @t85)) % 0.36/0.59 (define @t127 () (and @t126 @t125)) % 0.36/0.59 (define @t128 () (= @t87 @t127)) % 0.36/0.59 (define @t129 () (not @t127)) % 0.36/0.59 (define @t130 () (@list @t127)) % 0.36/0.59 (define @t131 () (tptp.apply @t86 @t91 @t82)) % 0.36/0.59 (define @t132 () (not @t126)) % 0.36/0.59 (define @t133 () (or @t132 @t131)) % 0.36/0.59 (define @t134 () (= @t91 @t82)) % 0.36/0.59 (define @t135 () (not @t131)) % 0.36/0.59 (define @t136 () (or @t122 @t135 @t134)) % 0.36/0.59 (define @t137 () (not @t134)) % 0.36/0.59 (define @t138 () (not @t120)) % 0.36/0.59 (define @t139 () (and @t95 @t120)) % 0.36/0.59 (assume @p1 (forall @t14 (= @t13 (and (forall @t12 (=> @t8 (tptp.apply @t3 @t2 @t2))) (forall @t11 (=> @t10 (=> (and @t5 @t9) (= @t2 @t4)))) (forall (@list @t2 @t4 @t1) (=> (and @t8 @t7 (tptp.member @t1 @t6)) (=> (and @t5 (tptp.apply @t3 @t4 @t1)) (tptp.apply @t3 @t2 @t1)))))))) % 0.36/0.59 (assume @p2 (forall @t14 (= (tptp.total_order @t3 @t6) (and @t13 (forall @t11 (=> @t10 (or @t5 @t9))))))) % 0.36/0.59 (assume @p3 (forall @t18 (= (tptp.upper_bound @t15 @t3 @t6) @t17))) % 0.36/0.59 (assume @p4 (forall @t18 (= (tptp.lower_bound @t15 @t3 @t6) @t20))) % 0.36/0.59 (assume @p5 (forall @t18 (= (tptp.greatest @t15 @t3 @t6) (and @t21 @t17)))) % 0.36/0.59 (assume @p6 @t25) % 0.36/0.59 (assume @p7 (forall @t18 (= (tptp.max @t15 @t3 @t6) (and @t21 (forall @t12 (=> (and @t8 @t19) @t26)))))) % 0.36/0.59 (assume @p8 @t33) % 0.36/0.59 (assume @p9 (forall @t37 (= (tptp.least_upper_bound @t34 @t2 @t3 @t6) (and @t36 (tptp.upper_bound @t34 @t3 @t2) (forall @t35 (=> (and @t21 (tptp.upper_bound @t15 @t3 @t2)) (tptp.apply @t3 @t34 @t15))))))) % 0.36/0.59 (assume @p10 (forall @t37 (= (tptp.greatest_lower_bound @t34 @t2 @t3 @t6) (and @t36 (tptp.lower_bound @t34 @t3 @t2) (forall @t35 (=> (and @t21 (tptp.lower_bound @t15 @t3 @t2)) (tptp.apply @t3 @t15 @t34))))))) % 0.36/0.59 (assume @p11 @t52) % 0.36/0.59 (assume @p12 true) % 0.36/0.59 (step @p13 :rule aci_norm :args ((= @t63 @t61))) % 0.36/0.59 (step @p14 :rule cong :premises (@p13) :args (@t65)) % 0.36/0.59 (step @p15 :rule quant-merge-prenex :args ((= (forall @t14 @t66) @t65))) % 0.36/0.59 (step @p16 :rule alpha_equiv :args (@t67 (@list @t54 @t53) (@list @t41 @t40))) % 0.36/0.59 (step @p17 :rule alpha_equiv :args (@t68 (@list @t58) (@list @t15))) % 0.36/0.59 (step @p18 :rule refl :args (@t60)) % 0.36/0.59 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16) :args (@t69)) % 0.36/0.59 (step @p20 :rule quant-miniscope-or :args ((= @t66 @t69))) % 0.36/0.59 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.59 (step @p22 :rule symm :premises (@p21)) % 0.36/0.59 (step @p23 :rule cong :premises (@p22) :args ((forall @t14 @t75))) % 0.36/0.59 (step @p24 :rule trans :premises (@p23 @p15)) % 0.36/0.59 (step @p25 :rule trans :premises (@p24 @p14)) % 0.36/0.59 (step @p26 :rule aci_norm :args ((= (or @t60 @t76) @t75))) % 0.36/0.59 (step @p27 :rule bool-impl-elim :args (@t13 @t76)) % 0.36/0.59 (step @p28 :rule trans :premises (@p27 @p26)) % 0.36/0.59 (step @p29 :rule cong :premises (@p28) :args ((forall @t14 (=> @t13 @t76)))) % 0.36/0.59 (step @p30 :rule trans :premises (@p29 @p25)) % 0.36/0.59 (step @p31 :rule quant-miniscope-or :args ((= (forall @t48 @t77) @t76))) % 0.36/0.59 (step @p32 :rule aci_norm :args ((= @t78 @t77))) % 0.36/0.59 (step @p33 :rule cong :premises (@p32) :args ((forall @t48 @t78))) % 0.36/0.59 (step @p34 :rule trans :premises (@p33 @p31)) % 0.36/0.59 (step @p35 :rule aci_norm :args ((= (or @t72 @t74) @t78))) % 0.36/0.59 (step @p36 :rule refl :args (@t74)) % 0.36/0.59 (step @p37 :rule bool-double-not-elim :args (@t42)) % 0.36/0.59 (step @p38 :rule refl :args (@t70)) % 0.36/0.59 (step @p39 :rule refl :args (@t71)) % 0.36/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t80)) % 0.36/0.59 (step @p41 :rule aci_norm :args ((= (or @t71 (or @t70 @t79)) @t80))) % 0.36/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.59 (step @p43 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.36/0.59 (step @p44 :rule nary_cong :premises (@p39 @p43) :args ((or @t71 (not (and @t44 @t43))))) % 0.36/0.59 (step @p45 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43))) % 0.36/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.59 (step @p47 :rule trans :premises (@p46 @p42)) % 0.36/0.59 (step @p48 :rule nary_cong :premises (@p47 @p36) :args ((or (not @t46) @t74))) % 0.36/0.59 (step @p49 :rule trans :premises (@p48 @p35)) % 0.36/0.59 (step @p50 :rule bool-impl-elim :args (@t46 @t74)) % 0.36/0.59 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.59 (step @p52 :rule cong :premises (@p51) :args ((forall @t48 (=> @t46 @t74)))) % 0.36/0.59 (step @p53 :rule trans :premises (@p52 @p34)) % 0.36/0.59 (step @p54 :rule bool-double-not-elim :args (@t74)) % 0.36/0.59 (step @p55 :rule exists-elim :args ((= @t38 (not @t74)))) % 0.36/0.59 (step @p56 :rule cong :premises (@p55) :args (@t39)) % 0.36/0.59 (step @p57 :rule trans :premises (@p56 @p54)) % 0.36/0.59 (step @p58 :rule refl :args (@t46)) % 0.36/0.59 (step @p59 :rule cong :premises (@p58 @p57) :args (@t47)) % 0.36/0.59 (step @p60 :rule cong :premises (@p59) :args (@t49)) % 0.36/0.59 (step @p61 :rule trans :premises (@p60 @p53)) % 0.36/0.59 (step @p62 :rule refl :args (@t13)) % 0.36/0.59 (step @p63 :rule cong :premises (@p62 @p61) :args (@t50)) % 0.36/0.59 (step @p64 :rule cong :premises (@p63) :args (@t51)) % 0.36/0.59 (step @p65 :rule trans :premises (@p64 @p30)) % 0.36/0.59 (step @p66 :rule cong :premises (@p65) :args (@t52)) % 0.36/0.59 (step @p67 :rule eq_resolve :premises (@p11 @p66)) % 0.36/0.59 (step @p68 :rule skolemize :premises (@p67)) % 0.36/0.59 (step @p69 :rule cnf_or_neg :args (@t94 4)) % 0.36/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args (@t95 @t96 @t97)) % 0.36/0.59 (step @p71 :rule aci_norm :args ((= (or (or @t100 @t99) @t98) (or @t100 @t99 @t98)))) % 0.36/0.59 (step @p72 :rule refl :args (@t98)) % 0.36/0.59 (step @p73 :rule bool-and-de-morgan :args (@t8 @t16 true)) % 0.36/0.59 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t27) @t98))) % 0.36/0.59 (step @p75 :rule trans :premises (@p74 @p71)) % 0.36/0.59 (step @p76 :rule bool-impl-elim :args (@t27 @t98)) % 0.36/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.59 (step @p78 :rule cong :premises (@p77) :args ((forall @t12 (=> @t27 @t98)))) % 0.36/0.59 (step @p79 :rule eq-symm :args (@t15 @t2)) % 0.36/0.59 (step @p80 :rule refl :args (@t27)) % 0.36/0.59 (step @p81 :rule cong :premises (@p80 @p79) :args (@t28)) % 0.36/0.59 (step @p82 :rule cong :premises (@p81) :args (@t29)) % 0.36/0.59 (step @p83 :rule trans :premises (@p82 @p78)) % 0.36/0.59 (step @p84 :rule refl :args (@t21)) % 0.36/0.59 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t30)) % 0.36/0.59 (step @p86 :rule refl :args (@t31)) % 0.36/0.59 (step @p87 :rule cong :premises (@p86 @p85) :args (@t32)) % 0.36/0.59 (step @p88 :rule cong :premises (@p87) :args (@t33)) % 0.36/0.59 (step @p89 :rule eq_resolve :premises (@p8 @p88)) % 0.36/0.59 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t86 @t85 @t83))) % 0.36/0.59 (step @p91 :rule bool-double-not-elim :args (@t89)) % 0.36/0.59 (step @p92 :rule refl :args (@t94)) % 0.36/0.59 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t94 (not @t90)))) % 0.36/0.59 (step @p94 :rule cnf_or_neg :args (@t94 2)) % 0.36/0.59 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.36/0.59 (step @p96 :rule reordering :premises (@p95) :args ((or @t89 @t94))) % 0.36/0.59 (step @p97 :rule chain_m_resolution :premises (@p96 @p68) :args (@t89 @t96 @t97)) % 0.36/0.59 (step @p98 :rule cnf_equiv_pos1 :args (@t105)) % 0.36/0.59 (step @p99 :rule reordering :premises (@p98) :args ((or @t90 @t104 (not @t105)))) % 0.36/0.59 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p90) :args (@t104 @t106 (@list @t89 @t105))) % 0.36/0.59 (step @p101 :rule cnf_and_pos :args (@t104 1)) % 0.36/0.59 (step @p102 :rule reordering :premises (@p101) :args ((or @t102 @t107))) % 0.36/0.59 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t102 @t108 @t109)) % 0.36/0.59 (step @p104 :rule instantiate :premises (@p103) :args (@t110)) % 0.36/0.59 (step @p105 :rule bool-impl-elim :args (@t8 @t19)) % 0.36/0.59 (step @p106 :rule cong :premises (@p105) :args (@t20)) % 0.36/0.59 (step @p107 :rule nary_cong :premises (@p84 @p106) :args (@t22)) % 0.36/0.59 (step @p108 :rule refl :args (@t23)) % 0.36/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args (@t24)) % 0.36/0.59 (step @p110 :rule cong :premises (@p109) :args (@t25)) % 0.36/0.59 (step @p111 :rule eq_resolve :premises (@p6 @p110)) % 0.36/0.59 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t86 @t85 @t91))) % 0.36/0.59 (step @p113 :rule bool-double-not-elim :args (@t92)) % 0.36/0.59 (step @p114 :rule nary_cong :premises (@p92 @p113) :args ((or @t94 (not @t93)))) % 0.36/0.59 (step @p115 :rule cnf_or_neg :args (@t94 1)) % 0.36/0.59 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.36/0.59 (step @p117 :rule reordering :premises (@p116) :args ((or @t92 @t94))) % 0.36/0.59 (step @p118 :rule chain_m_resolution :premises (@p117 @p68) :args (@t92 @t96 @t97)) % 0.36/0.59 (step @p119 :rule cnf_equiv_pos1 :args (@t114)) % 0.36/0.59 (step @p120 :rule reordering :premises (@p119) :args ((or @t93 @t113 (not @t114)))) % 0.36/0.59 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112) :args (@t113 @t106 (@list @t92 @t114))) % 0.36/0.59 (step @p122 :rule cnf_and_pos :args (@t113 1)) % 0.36/0.59 (step @p123 :rule reordering :premises (@p122) :args ((or @t111 @t115))) % 0.36/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p121) :args (@t111 @t108 @t116)) % 0.36/0.59 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t83))) % 0.36/0.59 (step @p126 :rule cnf_and_pos :args (@t104 0)) % 0.36/0.59 (step @p127 :rule reordering :premises (@p126) :args ((or @t103 @t107))) % 0.36/0.59 (step @p128 :rule chain_m_resolution :premises (@p127 @p100) :args (@t103 @t108 @t109)) % 0.36/0.59 (step @p129 :rule cnf_or_pos :args (@t119)) % 0.36/0.59 (step @p130 :rule reordering :premises (@p129) :args ((or @t118 @t117 (not @t119)))) % 0.36/0.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p125) :args (@t117 @t106 (@list @t103 @t119))) % 0.36/0.59 (step @p132 :rule cnf_and_pos :args (@t113 0)) % 0.36/0.59 (step @p133 :rule reordering :premises (@p132) :args ((or @t112 @t115))) % 0.36/0.59 (step @p134 :rule chain_m_resolution :premises (@p133 @p121) :args (@t112 @t108 @t116)) % 0.36/0.59 (step @p135 :rule cnf_or_pos :args (@t123)) % 0.36/0.59 (step @p136 :rule reordering :premises (@p135) :args ((or @t122 @t121 @t120 (not @t123)))) % 0.36/0.59 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p131 @p104) :args (@t120 @t124 (@list @t112 @t117 @t123))) % 0.36/0.59 (step @p138 :rule instantiate :premises (@p89) :args ((@list @t86 @t85 @t82))) % 0.36/0.59 (step @p139 :rule bool-double-not-elim :args (@t87)) % 0.36/0.59 (step @p140 :rule nary_cong :premises (@p92 @p139) :args ((or @t94 (not @t88)))) % 0.36/0.59 (step @p141 :rule cnf_or_neg :args (@t94 3)) % 0.36/0.59 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.36/0.59 (step @p143 :rule reordering :premises (@p142) :args ((or @t87 @t94))) % 0.36/0.59 (step @p144 :rule chain_m_resolution :premises (@p143 @p68) :args (@t87 @t96 @t97)) % 0.36/0.59 (step @p145 :rule cnf_equiv_pos1 :args (@t128)) % 0.36/0.59 (step @p146 :rule reordering :premises (@p145) :args ((or @t88 @t127 (not @t128)))) % 0.36/0.59 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p138) :args (@t127 @t106 (@list @t87 @t128))) % 0.36/0.59 (step @p148 :rule cnf_and_pos :args (@t127 1)) % 0.36/0.59 (step @p149 :rule reordering :premises (@p148) :args ((or @t125 @t129))) % 0.36/0.59 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t125 @t108 @t130)) % 0.36/0.59 (step @p151 :rule instantiate :premises (@p150) :args (@t110)) % 0.36/0.59 (step @p152 :rule instantiate :premises (@p124) :args ((@list @t82))) % 0.36/0.59 (step @p153 :rule cnf_and_pos :args (@t127 0)) % 0.36/0.59 (step @p154 :rule reordering :premises (@p153) :args ((or @t126 @t129))) % 0.36/0.59 (step @p155 :rule chain_m_resolution :premises (@p154 @p147) :args (@t126 @t108 @t130)) % 0.36/0.59 (step @p156 :rule cnf_or_pos :args (@t133)) % 0.36/0.59 (step @p157 :rule reordering :premises (@p156) :args ((or @t132 @t131 (not @t133)))) % 0.36/0.59 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p152) :args (@t131 @t106 (@list @t126 @t133))) % 0.36/0.59 (step @p159 :rule cnf_or_pos :args (@t136)) % 0.36/0.59 (step @p160 :rule reordering :premises (@p159) :args ((or @t122 @t135 @t134 (not @t136)))) % 0.36/0.59 (step @p161 :rule chain_m_resolution :premises (@p160 @p134 @p158 @p151) :args (@t134 @t124 (@list @t112 @t131 @t136))) % 0.36/0.59 (step @p162 :rule refl :args (@t137)) % 0.36/0.59 (step @p163 :rule refl :args (@t138)) % 0.36/0.59 (step @p164 :rule bool-double-not-elim :args (@t84)) % 0.36/0.59 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args ((or (not @t95) @t138 @t137))) % 0.36/0.59 (assume-push @p181 @t95) % 0.36/0.59 (assume-push @p182 @t120) % 0.36/0.59 (step @p168 :rule false_intro :premises (@p70)) % 0.36/0.59 (step @p169 :rule refl :args (@t82)) % 0.36/0.59 (step @p170 :rule cong :premises (@p137 @p169) :args (@t134)) % 0.36/0.59 (step @p171 :rule trans :premises (@p170 @p168)) % 0.36/0.59 (step @p172 :rule false_elim :premises (@p171)) % 0.36/0.59 (step-pop @p183 :rule scope :premises (@p172)) % 0.36/0.59 (step-pop @p184 :rule scope :premises (@p183)) % 0.36/0.59 (step @p173 :rule process_scope :premises (@p184) :args (@t137)) % 0.36/0.59 (step @p176 :rule implies_elim :premises (@p173)) % 0.36/0.59 (step @p177 :rule cnf_and_neg :args (@t139)) % 0.36/0.59 (step @p178 :rule resolution :premises (@p177 @p176) :args (true @t139)) % 0.36/0.59 (step @p179 :rule eq_resolve :premises (@p178 @p165)) % 0.36/0.59 (step @p180 false :rule chain_m_resolution :premises (@p179 @p161 @p137 @p70) :args (false (@list false false true) (@list @t134 @t120 @t84))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------