%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT007+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:41 AM UTC 2026 % Result : Theorem 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT007+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n016.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 11:48:17 UTC 2026 % 0.10/0.37 % CPUTime : % 0.16/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.54 % SZS status Theorem % 0.21/0.54 % SZS output start Proof % 0.21/0.54 ( % 0.21/0.54 (declare-sort $$unsorted 0) % 0.21/0.54 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.reorganization (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.accountability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.reproducibility (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.reliability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (define @t1 () (@var "T" $$unsorted)) % 0.21/0.54 (define @t2 () (@var "R" $$unsorted)) % 0.21/0.54 (define @t3 () (@var "X" $$unsorted)) % 0.21/0.54 (define @t4 () (tptp.reliability @t3 @t2 @t1)) % 0.21/0.54 (define @t5 () (@list @t2)) % 0.21/0.54 (define @t6 () (exists @t5 @t4)) % 0.21/0.54 (define @t7 () (tptp.organization @t3 @t1)) % 0.21/0.54 (define @t8 () (=> @t7 @t6)) % 0.21/0.54 (define @t9 () (@list @t3 @t1)) % 0.21/0.54 (define @t10 () (forall @t9 @t8)) % 0.21/0.54 (define @t11 () (@var "A" $$unsorted)) % 0.21/0.54 (define @t12 () (tptp.accountability @t3 @t11 @t1)) % 0.21/0.54 (define @t13 () (@list @t11)) % 0.21/0.54 (define @t14 () (exists @t13 @t12)) % 0.21/0.54 (define @t15 () (=> @t7 @t14)) % 0.21/0.54 (define @t16 () (forall @t9 @t15)) % 0.21/0.54 (define @t17 () (@var "A1" $$unsorted)) % 0.21/0.54 (define @t18 () (@var "A2" $$unsorted)) % 0.21/0.54 (define @t19 () (@var "R1" $$unsorted)) % 0.21/0.54 (define @t20 () (@var "R2" $$unsorted)) % 0.21/0.54 (define @t21 () (@var "Rp1" $$unsorted)) % 0.21/0.54 (define @t22 () (@var "Rp2" $$unsorted)) % 0.21/0.54 (define @t23 () (= (tptp.greater @t22 @t21) (and (tptp.greater @t20 @t19) (tptp.greater @t18 @t17)))) % 0.21/0.54 (define @t24 () (@var "T2" $$unsorted)) % 0.21/0.54 (define @t25 () (@var "Y" $$unsorted)) % 0.21/0.54 (define @t26 () (tptp.reproducibility @t25 @t22 @t24)) % 0.21/0.54 (define @t27 () (@var "T1" $$unsorted)) % 0.21/0.54 (define @t28 () (tptp.reproducibility @t3 @t21 @t27)) % 0.21/0.54 (define @t29 () (tptp.accountability @t25 @t18 @t24)) % 0.21/0.54 (define @t30 () (tptp.accountability @t3 @t17 @t27)) % 0.21/0.54 (define @t31 () (tptp.reliability @t25 @t20 @t24)) % 0.21/0.54 (define @t32 () (tptp.reliability @t3 @t19 @t27)) % 0.21/0.54 (define @t33 () (tptp.organization @t25 @t24)) % 0.21/0.54 (define @t34 () (tptp.organization @t3 @t27)) % 0.21/0.54 (define @t35 () (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26)) % 0.21/0.54 (define @t36 () (forall (@list @t3 @t25 @t27 @t24 @t19 @t20 @t17 @t18 @t21 @t22) (=> @t35 @t23))) % 0.21/0.54 (define @t37 () (and (tptp.greater @t19 @t20) (tptp.greater @t17 @t18))) % 0.21/0.54 (define @t38 () (@var "Tb" $$unsorted)) % 0.21/0.54 (define @t39 () (tptp.greater @t24 @t38)) % 0.21/0.54 (define @t40 () (not @t39)) % 0.21/0.54 (define @t41 () (tptp.greater @t24 @t27)) % 0.21/0.54 (define @t42 () (@var "Ta" $$unsorted)) % 0.21/0.54 (define @t43 () (tptp.greater @t42 @t27)) % 0.21/0.54 (define @t44 () (not @t43)) % 0.21/0.54 (define @t45 () (tptp.accountability @t3 @t18 @t24)) % 0.21/0.54 (define @t46 () (tptp.reliability @t3 @t20 @t24)) % 0.21/0.54 (define @t47 () (tptp.reorganization @t3 @t42 @t38)) % 0.21/0.54 (define @t48 () (tptp.organization @t3 @t24)) % 0.21/0.54 (define @t49 () (and @t34 @t48 @t47 @t32 @t46 @t30 @t45 @t44 @t41 @t40)) % 0.21/0.54 (define @t50 () (forall (@list @t3 @t19 @t20 @t17 @t18 @t27 @t24 @t42 @t38) (=> @t49 @t37))) % 0.21/0.54 (define @t51 () (tptp.greater @t21 @t22)) % 0.21/0.54 (define @t52 () (tptp.reproducibility @t3 @t22 @t24)) % 0.21/0.54 (define @t53 () (and @t34 @t48 @t47 @t28 @t52 @t44 @t41 @t40)) % 0.21/0.54 (define @t54 () (@list @t3 @t21 @t22 @t27 @t24 @t42 @t38)) % 0.21/0.54 (define @t55 () (forall @t54 (=> @t53 @t51))) % 0.21/0.54 (define @t56 () (not @t55)) % 0.21/0.54 (define @t57 () (not @t41)) % 0.21/0.54 (define @t58 () (not @t52)) % 0.21/0.54 (define @t59 () (not @t28)) % 0.21/0.54 (define @t60 () (not @t47)) % 0.21/0.54 (define @t61 () (not @t48)) % 0.21/0.54 (define @t62 () (not @t34)) % 0.21/0.54 (define @t63 () (or @t62 @t61 @t60 @t59 @t58 @t43 @t57 @t39 @t51)) % 0.21/0.54 (define @t64 () (not @t40)) % 0.21/0.54 (define @t65 () (not @t44)) % 0.21/0.54 (define @t66 () (or @t62 @t61 @t60 @t59 @t58 @t65 @t57 @t64)) % 0.21/0.54 (define @t67 () (or @t65 (or @t57 @t64))) % 0.21/0.54 (define @t68 () (not (and @t44 @t41 @t40))) % 0.21/0.54 (define @t69 () (forall @t54 @t63)) % 0.21/0.54 (define @t70 () (@quantifiers_skolemize @t69 3)) % 0.21/0.54 (define @t71 () (@quantifiers_skolemize @t69 0)) % 0.21/0.54 (define @t72 () (tptp.organization @t71 @t70)) % 0.21/0.54 (define @t73 () (@quantifiers_skolemize @t69 2)) % 0.21/0.54 (define @t74 () (@quantifiers_skolemize @t69 1)) % 0.21/0.54 (define @t75 () (tptp.greater @t74 @t73)) % 0.21/0.54 (define @t76 () (@quantifiers_skolemize @t69 6)) % 0.21/0.54 (define @t77 () (@quantifiers_skolemize @t69 4)) % 0.21/0.54 (define @t78 () (tptp.greater @t77 @t76)) % 0.21/0.54 (define @t79 () (tptp.greater @t77 @t70)) % 0.21/0.54 (define @t80 () (not @t79)) % 0.21/0.54 (define @t81 () (@quantifiers_skolemize @t69 5)) % 0.21/0.54 (define @t82 () (tptp.greater @t81 @t70)) % 0.21/0.54 (define @t83 () (tptp.reproducibility @t71 @t73 @t77)) % 0.21/0.54 (define @t84 () (not @t83)) % 0.21/0.54 (define @t85 () (tptp.reproducibility @t71 @t74 @t70)) % 0.21/0.54 (define @t86 () (not @t85)) % 0.21/0.54 (define @t87 () (tptp.reorganization @t71 @t81 @t76)) % 0.21/0.54 (define @t88 () (not @t87)) % 0.21/0.54 (define @t89 () (tptp.organization @t71 @t77)) % 0.21/0.54 (define @t90 () (not @t89)) % 0.21/0.54 (define @t91 () (not @t72)) % 0.21/0.54 (define @t92 () (or @t91 @t90 @t88 @t86 @t84 @t82 @t80 @t78 @t75)) % 0.21/0.54 (define @t93 () (@list true)) % 0.21/0.54 (define @t94 () (@list @t92)) % 0.21/0.54 (define @t95 () (not (forall @t5 (not @t4)))) % 0.21/0.54 (define @t96 () (@list @t71 @t70)) % 0.21/0.54 (define @t97 () (forall @t5 (not (tptp.reliability @t71 @t2 @t70)))) % 0.21/0.54 (define @t98 () (not @t97)) % 0.21/0.54 (define @t99 () (or @t91 @t98)) % 0.21/0.54 (define @t100 () (@list false false)) % 0.21/0.54 (define @t101 () (@quantifiers_skolemize @t97 0)) % 0.21/0.54 (define @t102 () (tptp.reliability @t71 @t101 @t70)) % 0.21/0.54 (define @t103 () (not @t102)) % 0.21/0.54 (define @t104 () (not @t103)) % 0.21/0.54 (define @t105 () (@list @t71 @t77)) % 0.21/0.54 (define @t106 () (forall @t5 (not (tptp.reliability @t71 @t2 @t77)))) % 0.21/0.54 (define @t107 () (not @t106)) % 0.21/0.54 (define @t108 () (or @t90 @t107)) % 0.21/0.54 (define @t109 () (@quantifiers_skolemize @t106 0)) % 0.21/0.54 (define @t110 () (tptp.reliability @t71 @t109 @t77)) % 0.21/0.54 (define @t111 () (not @t110)) % 0.21/0.54 (define @t112 () (not @t111)) % 0.21/0.54 (define @t113 () (not (forall @t13 (not @t12)))) % 0.21/0.54 (define @t114 () (forall @t13 (not (tptp.accountability @t71 @t11 @t70)))) % 0.21/0.54 (define @t115 () (not @t114)) % 0.21/0.54 (define @t116 () (or @t91 @t115)) % 0.21/0.54 (define @t117 () (@quantifiers_skolemize @t114 0)) % 0.21/0.54 (define @t118 () (tptp.accountability @t71 @t117 @t70)) % 0.21/0.54 (define @t119 () (not @t118)) % 0.21/0.54 (define @t120 () (not @t119)) % 0.21/0.54 (define @t121 () (forall @t13 (not (tptp.accountability @t71 @t11 @t77)))) % 0.21/0.54 (define @t122 () (not @t121)) % 0.21/0.54 (define @t123 () (or @t90 @t122)) % 0.21/0.54 (define @t124 () (@quantifiers_skolemize @t121 0)) % 0.21/0.54 (define @t125 () (tptp.accountability @t71 @t124 @t77)) % 0.21/0.54 (define @t126 () (not @t125)) % 0.21/0.54 (define @t127 () (not @t126)) % 0.21/0.54 (define @t128 () (not @t45)) % 0.21/0.54 (define @t129 () (not @t30)) % 0.21/0.54 (define @t130 () (not @t46)) % 0.21/0.54 (define @t131 () (not @t32)) % 0.21/0.54 (define @t132 () (or @t62 @t61 @t60 @t131 @t130 @t129 @t128 @t65 @t57 @t64)) % 0.21/0.54 (define @t133 () (and (tptp.greater @t101 @t109) (tptp.greater @t117 @t124))) % 0.21/0.54 (define @t134 () (or @t91 @t90 @t88 @t103 @t111 @t119 @t126 @t82 @t80 @t78 @t133)) % 0.21/0.54 (define @t135 () (= @t75 @t133)) % 0.21/0.54 (define @t136 () (not @t135)) % 0.21/0.54 (define @t137 () (not @t26)) % 0.21/0.54 (define @t138 () (not @t29)) % 0.21/0.54 (define @t139 () (not @t31)) % 0.21/0.54 (define @t140 () (not @t33)) % 0.21/0.54 (define @t141 () (or @t62 @t140 @t131 @t139 @t129 @t138 @t59 @t137)) % 0.21/0.54 (define @t142 () (or @t90 @t91 @t111 @t103 @t126 @t119 @t84 @t86 @t135)) % 0.21/0.54 (assume @p1 @t10) % 0.21/0.54 (assume @p2 @t16) % 0.21/0.54 (assume @p3 (forall @t9 (=> @t7 (exists @t13 (tptp.reproducibility @t3 @t11 @t1))))) % 0.21/0.54 (assume @p4 @t36) % 0.21/0.54 (assume @p5 @t50) % 0.21/0.54 (assume @p6 @t56) % 0.21/0.54 (assume @p7 true) % 0.21/0.54 (step @p8 :rule aci_norm :args ((= (or (or @t62 @t61 @t60 @t59 @t58 @t43 @t57 @t39) @t51) @t63))) % 0.21/0.54 (step @p9 :rule refl :args (@t51)) % 0.21/0.54 (step @p10 :rule bool-double-not-elim :args (@t39)) % 0.21/0.54 (step @p11 :rule refl :args (@t57)) % 0.21/0.54 (step @p12 :rule bool-double-not-elim :args (@t43)) % 0.21/0.54 (step @p13 :rule refl :args (@t58)) % 0.21/0.54 (step @p14 :rule refl :args (@t59)) % 0.21/0.54 (step @p15 :rule refl :args (@t60)) % 0.21/0.54 (step @p16 :rule refl :args (@t61)) % 0.21/0.54 (step @p17 :rule refl :args (@t62)) % 0.21/0.54 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10) :args (@t66)) % 0.21/0.54 (step @p19 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t59 (or @t58 @t67))))) @t66))) % 0.21/0.54 (step @p20 :rule trans :premises (@p19 @p18)) % 0.21/0.54 (step @p21 :rule bool-and-de-morgan :args (@t41 @t40 true)) % 0.21/0.54 (step @p22 :rule refl :args (@t65)) % 0.21/0.54 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t65 (not (and @t41 @t40))))) % 0.21/0.54 (step @p24 :rule bool-and-de-morgan :args (@t44 @t41 (and @t40))) % 0.21/0.54 (step @p25 :rule trans :premises (@p24 @p23)) % 0.21/0.54 (step @p26 :rule nary_cong :premises (@p13 @p25) :args ((or @t58 @t68))) % 0.21/0.54 (step @p27 :rule bool-and-de-morgan :args (@t52 @t44 (and @t41 @t40))) % 0.21/0.54 (step @p28 :rule trans :premises (@p27 @p26)) % 0.21/0.54 (step @p29 :rule nary_cong :premises (@p14 @p28) :args ((or @t59 (not (and @t52 @t44 @t41 @t40))))) % 0.21/0.54 (step @p30 :rule bool-and-de-morgan :args (@t28 @t52 (and @t44 @t41 @t40))) % 0.21/0.54 (step @p31 :rule trans :premises (@p30 @p29)) % 0.21/0.54 (step @p32 :rule nary_cong :premises (@p15 @p31) :args ((or @t60 (not (and @t28 @t52 @t44 @t41 @t40))))) % 0.21/0.54 (step @p33 :rule bool-and-de-morgan :args (@t47 @t28 (and @t52 @t44 @t41 @t40))) % 0.21/0.54 (step @p34 :rule trans :premises (@p33 @p32)) % 0.21/0.54 (step @p35 :rule nary_cong :premises (@p16 @p34) :args ((or @t61 (not (and @t47 @t28 @t52 @t44 @t41 @t40))))) % 0.21/0.54 (step @p36 :rule bool-and-de-morgan :args (@t48 @t47 (and @t28 @t52 @t44 @t41 @t40))) % 0.21/0.54 (step @p37 :rule trans :premises (@p36 @p35)) % 0.21/0.54 (step @p38 :rule nary_cong :premises (@p17 @p37) :args ((or @t62 (not (and @t48 @t47 @t28 @t52 @t44 @t41 @t40))))) % 0.21/0.54 (step @p39 :rule bool-and-de-morgan :args (@t34 @t48 (and @t47 @t28 @t52 @t44 @t41 @t40))) % 0.21/0.54 (step @p40 :rule trans :premises (@p39 @p38)) % 0.21/0.54 (step @p41 :rule trans :premises (@p40 @p20)) % 0.21/0.54 (step @p42 :rule nary_cong :premises (@p41 @p9) :args ((or (not @t53) @t51))) % 0.21/0.54 (step @p43 :rule trans :premises (@p42 @p8)) % 0.21/0.54 (step @p44 :rule bool-impl-elim :args (@t53 @t51)) % 0.21/0.54 (step @p45 :rule trans :premises (@p44 @p43)) % 0.21/0.54 (step @p46 :rule cong :premises (@p45) :args (@t55)) % 0.21/0.54 (step @p47 :rule cong :premises (@p46) :args (@t56)) % 0.21/0.54 (step @p48 :rule eq_resolve :premises (@p6 @p47)) % 0.21/0.54 (step @p49 :rule skolemize :premises (@p48)) % 0.21/0.54 (step @p50 :rule bool-double-not-elim :args (@t72)) % 0.21/0.54 (step @p51 :rule refl :args (@t92)) % 0.21/0.54 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t92 (not @t91)))) % 0.21/0.54 (step @p53 :rule cnf_or_neg :args (@t92 0)) % 0.21/0.54 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.21/0.54 (step @p55 :rule reordering :premises (@p54) :args ((or @t72 @t92))) % 0.21/0.54 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t72 @t93 @t94)) % 0.21/0.54 (step @p57 :rule bool-double-not-elim :args (@t89)) % 0.21/0.54 (step @p58 :rule nary_cong :premises (@p51 @p57) :args ((or @t92 (not @t90)))) % 0.21/0.54 (step @p59 :rule cnf_or_neg :args (@t92 1)) % 0.21/0.54 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.21/0.54 (step @p61 :rule reordering :premises (@p60) :args ((or @t89 @t92))) % 0.21/0.54 (step @p62 :rule chain_m_resolution :premises (@p61 @p49) :args (@t89 @t93 @t94)) % 0.21/0.54 (step @p63 :rule bool-double-not-elim :args (@t85)) % 0.21/0.54 (step @p64 :rule nary_cong :premises (@p51 @p63) :args ((or @t92 (not @t86)))) % 0.21/0.54 (step @p65 :rule cnf_or_neg :args (@t92 3)) % 0.21/0.54 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.21/0.54 (step @p67 :rule reordering :premises (@p66) :args ((or @t85 @t92))) % 0.21/0.54 (step @p68 :rule chain_m_resolution :premises (@p67 @p49) :args (@t85 @t93 @t94)) % 0.21/0.54 (step @p69 :rule bool-double-not-elim :args (@t83)) % 0.21/0.54 (step @p70 :rule nary_cong :premises (@p51 @p69) :args ((or @t92 (not @t84)))) % 0.21/0.54 (step @p71 :rule cnf_or_neg :args (@t92 4)) % 0.21/0.54 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.21/0.54 (step @p73 :rule reordering :premises (@p72) :args ((or @t83 @t92))) % 0.21/0.54 (step @p74 :rule chain_m_resolution :premises (@p73 @p49) :args (@t83 @t93 @t94)) % 0.21/0.54 (step @p75 :rule bool-impl-elim :args (@t7 @t95)) % 0.21/0.54 (step @p76 :rule cong :premises (@p75) :args ((forall @t9 (=> @t7 @t95)))) % 0.21/0.54 (step @p77 :rule exists-elim :args ((= @t6 @t95))) % 0.21/0.54 (step @p78 :rule refl :args (@t7)) % 0.21/0.54 (step @p79 :rule cong :premises (@p78 @p77) :args (@t8)) % 0.21/0.54 (step @p80 :rule cong :premises (@p79) :args (@t10)) % 0.21/0.54 (step @p81 :rule trans :premises (@p80 @p76)) % 0.21/0.54 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.21/0.54 (step @p83 :rule instantiate :premises (@p82) :args (@t96)) % 0.21/0.54 (step @p84 :rule cnf_or_pos :args (@t99)) % 0.21/0.54 (step @p85 :rule reordering :premises (@p84) :args ((or @t91 @t98 (not @t99)))) % 0.21/0.54 (step @p86 :rule chain_m_resolution :premises (@p85 @p56 @p83) :args (@t98 @t100 (@list @t72 @t99))) % 0.21/0.54 (step @p87 :rule refl :args (@t102)) % 0.21/0.54 (step @p88 :rule bool-double-not-elim :args (@t97)) % 0.21/0.54 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t98) @t102))) % 0.21/0.54 (step @p90 :rule bool-double-not-elim :args (@t102)) % 0.21/0.54 (step @p91 :rule refl :args (@t98)) % 0.21/0.54 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t98 @t104))) % 0.21/0.54 (assume-push @p260 @t98) % 0.21/0.54 (step @p94 :rule skolemize :premises (@p86)) % 0.21/0.54 (step-pop @p261 :rule scope :premises (@p94)) % 0.21/0.54 (step @p95 :rule process_scope :premises (@p261) :args (@t104)) % 0.21/0.54 (step @p97 :rule 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@t40))))) % 0.21/0.54 (step @p178 :rule bool-and-de-morgan :args (@t46 @t30 (and @t45 @t44 @t41 @t40))) % 0.21/0.54 (step @p179 :rule trans :premises (@p178 @p177)) % 0.21/0.54 (step @p180 :rule nary_cong :premises (@p167 @p179) :args ((or @t131 (not (and @t46 @t30 @t45 @t44 @t41 @t40))))) % 0.21/0.54 (step @p181 :rule bool-and-de-morgan :args (@t32 @t46 (and @t30 @t45 @t44 @t41 @t40))) % 0.21/0.54 (step @p182 :rule trans :premises (@p181 @p180)) % 0.21/0.54 (step @p183 :rule nary_cong :premises (@p15 @p182) :args ((or @t60 (not (and @t32 @t46 @t30 @t45 @t44 @t41 @t40))))) % 0.21/0.54 (step @p184 :rule bool-and-de-morgan :args (@t47 @t32 (and @t46 @t30 @t45 @t44 @t41 @t40))) % 0.21/0.54 (step @p185 :rule trans :premises (@p184 @p183)) % 0.21/0.54 (step @p186 :rule nary_cong :premises (@p16 @p185) :args ((or @t61 (not (and @t47 @t32 @t46 @t30 @t45 @t44 @t41 @t40))))) % 0.21/0.54 (step @p187 :rule bool-and-de-morgan :args (@t48 @t47 (and @t32 @t46 @t30 @t45 @t44 @t41 @t40))) % 0.21/0.54 (step @p188 :rule trans :premises (@p187 @p186)) % 0.21/0.54 (step @p189 :rule nary_cong :premises (@p17 @p188) :args ((or @t62 (not (and @t48 @t47 @t32 @t46 @t30 @t45 @t44 @t41 @t40))))) % 0.21/0.54 (step @p190 :rule bool-and-de-morgan :args (@t34 @t48 (and @t47 @t32 @t46 @t30 @t45 @t44 @t41 @t40))) % 0.21/0.54 (step @p191 :rule trans :premises (@p190 @p189)) % 0.21/0.54 (step @p192 :rule trans :premises (@p191 @p170)) % 0.21/0.54 (step @p193 :rule nary_cong :premises (@p192 @p163) :args ((or (not @t49) @t37))) % 0.21/0.54 (step @p194 :rule trans :premises (@p193 @p162)) % 0.21/0.54 (step @p195 :rule bool-impl-elim :args (@t49 @t37)) % 0.21/0.54 (step @p196 :rule trans :premises (@p195 @p194)) % 0.21/0.54 (step @p197 :rule cong :premises (@p196) :args (@t50)) % 0.21/0.54 (step @p198 :rule eq_resolve :premises (@p5 @p197)) % 0.21/0.54 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t71 @t101 @t109 @t117 @t124 @t70 @t77 @t81 @t76))) % 0.21/0.54 (step @p200 :rule 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@t133) @t136))) % 0.21/0.54 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p218) :args (@t136 (@list true false) (@list @t75 @t133))) % 0.21/0.54 (step @p224 :rule aci_norm :args ((= (or @t141 @t23) (or @t62 @t140 @t131 @t139 @t129 @t138 @t59 @t137 @t23)))) % 0.21/0.54 (step @p225 :rule refl :args (@t23)) % 0.21/0.54 (step @p226 :rule aci_norm :args ((= (or @t62 (or @t140 (or @t131 (or @t139 (or @t129 (or @t138 (or @t59 @t137))))))) @t141))) % 0.21/0.54 (step @p227 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 0.21/0.54 (step @p228 :rule refl :args (@t138)) % 0.21/0.54 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t138 (not (and @t28 @t26))))) % 0.21/0.54 (step @p230 :rule bool-and-de-morgan :args (@t29 @t28 (and @t26))) % 0.21/0.54 (step @p231 :rule trans :premises (@p230 @p229)) % 0.21/0.54 (step @p232 :rule nary_cong :premises (@p165 @p231) :args ((or @t129 (not (and @t29 @t28 @t26))))) % 0.21/0.54 (step @p233 :rule bool-and-de-morgan :args (@t30 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(@p244 @p243)) % 0.21/0.54 (step @p246 :rule nary_cong :premises (@p17 @p245) :args ((or @t62 (not (and @t33 @t32 @t31 @t30 @t29 @t28 @t26))))) % 0.21/0.54 (step @p247 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t31 @t30 @t29 @t28 @t26))) % 0.21/0.54 (step @p248 :rule trans :premises (@p247 @p246)) % 0.21/0.54 (step @p249 :rule trans :premises (@p248 @p226)) % 0.21/0.54 (step @p250 :rule nary_cong :premises (@p249 @p225) :args ((or (not @t35) @t23))) % 0.21/0.54 (step @p251 :rule trans :premises (@p250 @p224)) % 0.21/0.54 (step @p252 :rule bool-impl-elim :args (@t35 @t23)) % 0.21/0.54 (step @p253 :rule trans :premises (@p252 @p251)) % 0.21/0.54 (step @p254 :rule cong :premises (@p253) :args (@t36)) % 0.21/0.54 (step @p255 :rule eq_resolve :premises (@p4 @p254)) % 0.21/0.54 (step @p256 :rule instantiate :premises (@p255) :args ((@list @t71 @t71 @t77 @t70 @t109 @t101 @t124 @t117 @t73 @t74))) % 0.21/0.54 (step @p257 :rule cnf_or_pos :args (@t142)) % 0.21/0.54 (step @p258 :rule reordering :premises (@p257) :args ((or @t91 @t90 @t86 @t84 @t103 @t111 @t119 @t126 @t135 (not @t142)))) % 0.21/0.54 (step @p259 false :rule chain_m_resolution :premises (@p258 @p256 @p223 @p161 @p143 @p118 @p100 @p74 @p68 @p62 @p56) :args (false (@list false true false false false false false false false false) (@list @t142 @t135 @t125 @t118 @t110 @t102 @t83 @t85 @t89 @t72))) % 0.21/0.54 ) % 0.21/0.54 % SZS output end Proof % 0.21/0.55 % cvc5 exiting %------------------------------------------------------------------------------