%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT010+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 : n017.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 06:04:42 AM UTC 2026 % Result : Theorem 0.17s 0.51s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT010+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.35 % Computer : n017.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Mon Sep 7 11:42:54 UTC 2026 % 0.10/0.35 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.51 % SZS status Theorem % 0.17/0.51 % SZS output start Proof % 0.17/0.51 ( % 0.17/0.51 (declare-sort $$unsorted 0) % 0.17/0.51 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.reliability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.accountability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.17/0.51 (declare-const tptp.reproducibility (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.51 (define @t1 () (@var "T" $$unsorted)) % 0.17/0.51 (define @t2 () (@var "Rp" $$unsorted)) % 0.17/0.51 (define @t3 () (@var "X" $$unsorted)) % 0.17/0.51 (define @t4 () (tptp.reproducibility @t3 @t2 @t1)) % 0.17/0.51 (define @t5 () (@list @t2)) % 0.17/0.51 (define @t6 () (exists @t5 @t4)) % 0.17/0.51 (define @t7 () (tptp.organization @t3 @t1)) % 0.17/0.51 (define @t8 () (=> @t7 @t6)) % 0.17/0.51 (define @t9 () (@list @t3 @t1)) % 0.17/0.51 (define @t10 () (forall @t9 @t8)) % 0.17/0.51 (define @t11 () (@var "A1" $$unsorted)) % 0.17/0.51 (define @t12 () (@var "A2" $$unsorted)) % 0.17/0.51 (define @t13 () (@var "R1" $$unsorted)) % 0.17/0.51 (define @t14 () (@var "R2" $$unsorted)) % 0.17/0.51 (define @t15 () (and (tptp.greater @t14 @t13) (tptp.greater @t12 @t11))) % 0.17/0.51 (define @t16 () (@var "Rp1" $$unsorted)) % 0.17/0.51 (define @t17 () (@var "Rp2" $$unsorted)) % 0.17/0.51 (define @t18 () (tptp.greater @t17 @t16)) % 0.17/0.51 (define @t19 () (= @t18 @t15)) % 0.17/0.51 (define @t20 () (@var "T2" $$unsorted)) % 0.17/0.51 (define @t21 () (@var "Y" $$unsorted)) % 0.17/0.51 (define @t22 () (tptp.reproducibility @t21 @t17 @t20)) % 0.17/0.51 (define @t23 () (@var "T1" $$unsorted)) % 0.17/0.51 (define @t24 () (tptp.reproducibility @t3 @t16 @t23)) % 0.17/0.51 (define @t25 () (tptp.accountability @t21 @t12 @t20)) % 0.17/0.51 (define @t26 () (tptp.accountability @t3 @t11 @t23)) % 0.17/0.51 (define @t27 () (tptp.reliability @t21 @t14 @t20)) % 0.17/0.51 (define @t28 () (tptp.reliability @t3 @t13 @t23)) % 0.17/0.51 (define @t29 () (tptp.organization @t21 @t20)) % 0.17/0.51 (define @t30 () (tptp.organization @t3 @t23)) % 0.17/0.51 (define @t31 () (and @t30 @t29 @t28 @t27 @t26 @t25 @t24 @t22)) % 0.17/0.51 (define @t32 () (@list @t3 @t21 @t23 @t20 @t13 @t14 @t11 @t12 @t16 @t17)) % 0.17/0.51 (define @t33 () (forall @t32 (=> @t31 @t19))) % 0.17/0.51 (define @t34 () (@var "S1" $$unsorted)) % 0.17/0.51 (define @t35 () (@var "S2" $$unsorted)) % 0.17/0.51 (define @t36 () (tptp.greater @t35 @t34)) % 0.17/0.51 (define @t37 () (tptp.size @t21 @t35 @t20)) % 0.17/0.51 (define @t38 () (tptp.size @t3 @t34 @t23)) % 0.17/0.51 (define @t39 () (@var "C" $$unsorted)) % 0.17/0.51 (define @t40 () (tptp.class @t21 @t39 @t20)) % 0.17/0.51 (define @t41 () (tptp.class @t3 @t39 @t23)) % 0.17/0.51 (define @t42 () (tptp.reorganization_free @t21 @t20 @t20)) % 0.17/0.51 (define @t43 () (tptp.reorganization_free @t3 @t23 @t23)) % 0.17/0.51 (define @t44 () (and @t30 @t29 @t43 @t42 @t41 @t40 @t24 @t22 @t38 @t37 @t36)) % 0.17/0.51 (define @t45 () (forall (@list @t3 @t21 @t39 @t16 @t17 @t34 @t35 @t23 @t20) (=> @t44 @t18))) % 0.17/0.51 (define @t46 () (and @t30 @t29 @t43 @t42 @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36)) % 0.17/0.51 (define @t47 () (@list @t3 @t21 @t39 @t13 @t14 @t11 @t12 @t34 @t35 @t23 @t20)) % 0.17/0.51 (define @t48 () (forall @t47 (=> @t46 @t15))) % 0.17/0.51 (define @t49 () (not @t48)) % 0.17/0.51 (define @t50 () (not @t36)) % 0.17/0.51 (define @t51 () (not @t37)) % 0.17/0.51 (define @t52 () (not @t38)) % 0.17/0.51 (define @t53 () (not @t25)) % 0.17/0.51 (define @t54 () (not @t26)) % 0.17/0.51 (define @t55 () (not @t27)) % 0.17/0.51 (define @t56 () (not @t28)) % 0.17/0.51 (define @t57 () (not @t40)) % 0.17/0.51 (define @t58 () (not @t41)) % 0.17/0.51 (define @t59 () (not @t42)) % 0.17/0.51 (define @t60 () (not @t43)) % 0.17/0.51 (define @t61 () (not @t29)) % 0.17/0.51 (define @t62 () (not @t30)) % 0.17/0.51 (define @t63 () (or @t62 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t15)) % 0.17/0.51 (define @t64 () (or @t62 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50)) % 0.17/0.51 (define @t65 () (or @t52 (or @t51 @t50))) % 0.17/0.51 (define @t66 () (not (and @t38 @t37 @t36))) % 0.17/0.51 (define @t67 () (forall @t47 @t63)) % 0.17/0.51 (define @t68 () (@quantifiers_skolemize @t67 5)) % 0.17/0.51 (define @t69 () (@quantifiers_skolemize @t67 6)) % 0.17/0.51 (define @t70 () (@quantifiers_skolemize @t67 3)) % 0.17/0.51 (define @t71 () (@quantifiers_skolemize @t67 4)) % 0.17/0.51 (define @t72 () (and (tptp.greater @t71 @t70) (tptp.greater @t69 @t68))) % 0.17/0.51 (define @t73 () (@quantifiers_skolemize @t67 7)) % 0.17/0.51 (define @t74 () (@quantifiers_skolemize @t67 8)) % 0.17/0.51 (define @t75 () (tptp.greater @t74 @t73)) % 0.17/0.51 (define @t76 () (not @t75)) % 0.17/0.51 (define @t77 () (@quantifiers_skolemize @t67 10)) % 0.17/0.51 (define @t78 () (@quantifiers_skolemize @t67 1)) % 0.17/0.51 (define @t79 () (tptp.size @t78 @t74 @t77)) % 0.17/0.51 (define @t80 () (not @t79)) % 0.17/0.51 (define @t81 () (@quantifiers_skolemize @t67 9)) % 0.17/0.51 (define @t82 () (@quantifiers_skolemize @t67 0)) % 0.17/0.51 (define @t83 () (tptp.size @t82 @t73 @t81)) % 0.17/0.51 (define @t84 () (not @t83)) % 0.17/0.51 (define @t85 () (tptp.accountability @t78 @t69 @t77)) % 0.17/0.51 (define @t86 () (not @t85)) % 0.17/0.51 (define @t87 () (tptp.accountability @t82 @t68 @t81)) % 0.17/0.51 (define @t88 () (not @t87)) % 0.17/0.51 (define @t89 () (tptp.reliability @t78 @t71 @t77)) % 0.17/0.51 (define @t90 () (not @t89)) % 0.17/0.51 (define @t91 () (tptp.reliability @t82 @t70 @t81)) % 0.17/0.51 (define @t92 () (not @t91)) % 0.17/0.51 (define @t93 () (@quantifiers_skolemize @t67 2)) % 0.17/0.51 (define @t94 () (tptp.class @t78 @t93 @t77)) % 0.17/0.51 (define @t95 () (not @t94)) % 0.17/0.51 (define @t96 () (tptp.class @t82 @t93 @t81)) % 0.17/0.51 (define @t97 () (not @t96)) % 0.17/0.51 (define @t98 () (tptp.reorganization_free @t78 @t77 @t77)) % 0.17/0.51 (define @t99 () (not @t98)) % 0.17/0.51 (define @t100 () (tptp.reorganization_free @t82 @t81 @t81)) % 0.17/0.51 (define @t101 () (not @t100)) % 0.17/0.51 (define @t102 () (tptp.organization @t78 @t77)) % 0.17/0.51 (define @t103 () (not @t102)) % 0.17/0.51 (define @t104 () (tptp.organization @t82 @t81)) % 0.17/0.51 (define @t105 () (not @t104)) % 0.17/0.51 (define @t106 () (or @t105 @t103 @t101 @t99 @t97 @t95 @t92 @t90 @t88 @t86 @t84 @t80 @t76 @t72)) % 0.17/0.51 (define @t107 () (@list true)) % 0.17/0.51 (define @t108 () (@list @t106)) % 0.17/0.51 (define @t109 () (not @t22)) % 0.17/0.51 (define @t110 () (not @t24)) % 0.17/0.51 (define @t111 () (or @t62 @t61 @t56 @t55 @t54 @t53 @t110 @t109 @t19)) % 0.17/0.51 (define @t112 () (or @t62 @t61 @t56 @t55 @t54 @t53 @t110 @t109)) % 0.17/0.51 (define @t113 () (forall @t5 (not (tptp.reproducibility @t82 @t2 @t81)))) % 0.17/0.51 (define @t114 () (@quantifiers_skolemize @t113 0)) % 0.17/0.51 (define @t115 () (forall @t5 (not (tptp.reproducibility @t78 @t2 @t77)))) % 0.17/0.51 (define @t116 () (@quantifiers_skolemize @t115 0)) % 0.17/0.51 (define @t117 () (tptp.greater @t116 @t114)) % 0.17/0.51 (define @t118 () (tptp.reproducibility @t78 @t116 @t77)) % 0.17/0.51 (define @t119 () (not @t118)) % 0.17/0.51 (define @t120 () (tptp.reproducibility @t82 @t114 @t81)) % 0.17/0.51 (define @t121 () (not @t120)) % 0.17/0.51 (define @t122 () (or @t105 @t103 @t92 @t90 @t88 @t86 @t121 @t119 (= @t117 @t72))) % 0.17/0.51 (define @t123 () (forall @t32 @t111)) % 0.17/0.51 (define @t124 () (= @t72 @t117)) % 0.17/0.51 (define @t125 () (or @t105 @t103 @t92 @t90 @t88 @t86 @t121 @t119 @t124)) % 0.17/0.51 (define @t126 () (not (forall @t5 (not @t4)))) % 0.17/0.51 (define @t127 () (not @t115)) % 0.17/0.51 (define @t128 () (or @t103 @t127)) % 0.17/0.51 (define @t129 () (@list false false)) % 0.17/0.51 (define @t130 () (not @t119)) % 0.17/0.51 (define @t131 () (not @t113)) % 0.17/0.51 (define @t132 () (or @t105 @t131)) % 0.17/0.51 (define @t133 () (not @t121)) % 0.17/0.51 (define @t134 () (or @t62 @t61 @t60 @t59 @t58 @t57 @t110 @t109 @t52 @t51 @t50)) % 0.17/0.51 (define @t135 () (or @t105 @t103 @t101 @t99 @t97 @t95 @t121 @t119 @t84 @t80 @t76 @t117)) % 0.17/0.51 (assume @p1 @t10) % 0.17/0.51 (assume @p2 @t33) % 0.17/0.51 (assume @p3 @t45) % 0.17/0.51 (assume @p4 @t49) % 0.17/0.51 (assume @p5 true) % 0.17/0.51 (step @p6 :rule aci_norm :args ((= (or @t64 @t15) @t63))) % 0.17/0.51 (step @p7 :rule refl :args (@t15)) % 0.17/0.51 (step @p8 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t59 (or @t58 (or @t57 (or @t56 (or @t55 (or @t54 (or @t53 @t65)))))))))) @t64))) % 0.17/0.51 (step @p9 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.17/0.51 (step @p10 :rule refl :args (@t52)) % 0.17/0.51 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t52 (not (and @t37 @t36))))) % 0.17/0.51 (step @p12 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36))) % 0.17/0.51 (step @p13 :rule trans :premises (@p12 @p11)) % 0.17/0.51 (step @p14 :rule refl :args (@t53)) % 0.17/0.51 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t53 @t66))) % 0.17/0.51 (step @p16 :rule bool-and-de-morgan :args (@t25 @t38 (and @t37 @t36))) % 0.17/0.51 (step @p17 :rule trans :premises (@p16 @p15)) % 0.17/0.51 (step @p18 :rule refl :args (@t54)) % 0.17/0.51 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t54 (not (and @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p20 :rule bool-and-de-morgan :args (@t26 @t25 (and @t38 @t37 @t36))) % 0.17/0.51 (step @p21 :rule trans :premises (@p20 @p19)) % 0.17/0.51 (step @p22 :rule refl :args (@t55)) % 0.17/0.51 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t55 (not (and @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p24 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p25 :rule trans :premises (@p24 @p23)) % 0.17/0.51 (step @p26 :rule refl :args (@t56)) % 0.17/0.51 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t56 (not (and @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p28 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p29 :rule trans :premises (@p28 @p27)) % 0.17/0.51 (step @p30 :rule refl :args (@t57)) % 0.17/0.51 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t57 (not (and @t28 @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p32 :rule bool-and-de-morgan :args (@t40 @t28 (and @t27 @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p33 :rule trans :premises (@p32 @p31)) % 0.17/0.51 (step @p34 :rule refl :args (@t58)) % 0.17/0.51 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t58 (not (and @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p36 :rule bool-and-de-morgan :args (@t41 @t40 (and @t28 @t27 @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p37 :rule trans :premises (@p36 @p35)) % 0.17/0.51 (step @p38 :rule refl :args (@t59)) % 0.17/0.51 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t59 (not (and @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p40 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p41 :rule trans :premises (@p40 @p39)) % 0.17/0.51 (step @p42 :rule refl :args (@t60)) % 0.17/0.51 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t60 (not (and @t42 @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p44 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p45 :rule trans :premises (@p44 @p43)) % 0.17/0.51 (step @p46 :rule refl :args (@t61)) % 0.17/0.51 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t61 (not (and @t43 @t42 @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p48 :rule bool-and-de-morgan :args (@t29 @t43 (and @t42 @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p49 :rule trans :premises (@p48 @p47)) % 0.17/0.51 (step @p50 :rule refl :args (@t62)) % 0.17/0.51 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t62 (not (and @t29 @t43 @t42 @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))))) % 0.17/0.51 (step @p52 :rule bool-and-de-morgan :args (@t30 @t29 (and @t43 @t42 @t41 @t40 @t28 @t27 @t26 @t25 @t38 @t37 @t36))) % 0.17/0.51 (step @p53 :rule trans :premises (@p52 @p51)) % 0.17/0.51 (step @p54 :rule trans :premises (@p53 @p8)) % 0.17/0.51 (step @p55 :rule nary_cong :premises (@p54 @p7) :args ((or (not @t46) @t15))) % 0.17/0.51 (step @p56 :rule trans :premises (@p55 @p6)) % 0.17/0.51 (step @p57 :rule bool-impl-elim :args (@t46 @t15)) % 0.17/0.51 (step @p58 :rule trans :premises (@p57 @p56)) % 0.17/0.51 (step @p59 :rule cong :premises (@p58) :args (@t48)) % 0.17/0.51 (step @p60 :rule cong :premises (@p59) :args (@t49)) % 0.17/0.51 (step @p61 :rule eq_resolve :premises (@p4 @p60)) % 0.17/0.51 (step @p62 :rule skolemize :premises (@p61)) % 0.17/0.51 (step @p63 :rule cnf_or_neg :args (@t106 13)) % 0.17/0.51 (step @p64 :rule chain_m_resolution :premises (@p63 @p62) :args ((not @t72) @t107 @t108)) % 0.17/0.51 (step @p65 :rule aci_norm :args ((= (or @t112 @t19) @t111))) % 0.17/0.51 (step @p66 :rule refl :args (@t19)) % 0.17/0.51 (step @p67 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t56 (or @t55 (or @t54 (or @t53 (or @t110 @t109))))))) @t112))) % 0.17/0.51 (step @p68 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.17/0.51 (step @p69 :rule nary_cong :premises (@p14 @p68) :args ((or @t53 (not (and @t24 @t22))))) % 0.17/0.51 (step @p70 :rule bool-and-de-morgan :args (@t25 @t24 (and @t22))) % 0.17/0.51 (step @p71 :rule trans :premises (@p70 @p69)) % 0.17/0.51 (step @p72 :rule nary_cong :premises (@p18 @p71) :args ((or @t54 (not (and @t25 @t24 @t22))))) % 0.17/0.51 (step @p73 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t22))) % 0.17/0.51 (step @p74 :rule trans :premises (@p73 @p72)) % 0.17/0.51 (step @p75 :rule nary_cong :premises (@p22 @p74) :args ((or @t55 (not (and @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p76 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24 @t22))) % 0.17/0.51 (step @p77 :rule trans :premises (@p76 @p75)) % 0.17/0.51 (step @p78 :rule nary_cong :premises (@p26 @p77) :args ((or @t56 (not (and @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p79 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p80 :rule trans :premises (@p79 @p78)) % 0.17/0.51 (step @p81 :rule nary_cong :premises (@p46 @p80) :args ((or @t61 (not (and @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p82 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p83 :rule trans :premises (@p82 @p81)) % 0.17/0.51 (step @p84 :rule nary_cong :premises (@p50 @p83) :args ((or @t62 (not (and @t29 @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p85 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p86 :rule trans :premises (@p85 @p84)) % 0.17/0.51 (step @p87 :rule trans :premises (@p86 @p67)) % 0.17/0.51 (step @p88 :rule nary_cong :premises (@p87 @p66) :args ((or (not @t31) @t19))) % 0.17/0.51 (step @p89 :rule trans :premises (@p88 @p65)) % 0.17/0.51 (step @p90 :rule bool-impl-elim :args (@t31 @t19)) % 0.17/0.51 (step @p91 :rule trans :premises (@p90 @p89)) % 0.17/0.51 (step @p92 :rule cong :premises (@p91) :args (@t33)) % 0.17/0.51 (step @p93 :rule eq_resolve :premises (@p2 @p92)) % 0.17/0.51 (step @p94 :rule eq-symm :args (@t117 @t72)) % 0.17/0.51 (step @p95 :rule refl :args (@t119)) % 0.17/0.51 (step @p96 :rule refl :args (@t121)) % 0.17/0.51 (step @p97 :rule refl :args (@t86)) % 0.17/0.51 (step @p98 :rule refl :args (@t88)) % 0.17/0.51 (step @p99 :rule refl :args (@t90)) % 0.17/0.51 (step @p100 :rule refl :args (@t92)) % 0.17/0.51 (step @p101 :rule refl :args (@t103)) % 0.17/0.51 (step @p102 :rule refl :args (@t105)) % 0.17/0.51 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94) :args (@t122)) % 0.17/0.51 (step @p104 :rule refl :args (@t123)) % 0.17/0.51 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t123 @t122))) % 0.17/0.51 (assume-push @p282 @t123) % 0.17/0.51 (step @p107 :rule instantiate :premises (@p93) :args ((@list @t82 @t78 @t81 @t77 @t70 @t71 @t68 @t69 @t114 @t116))) % 0.17/0.51 (step-pop @p283 :rule scope :premises (@p107)) % 0.17/0.51 (step @p108 :rule process_scope :premises (@p283) :args (@t122)) % 0.17/0.51 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.17/0.51 (step @p111 :rule implies_elim :premises (@p110)) % 0.17/0.51 (step @p112 :rule chain_m_resolution :premises (@p111 @p93) :args (@t125 (@list false) (@list @t123))) % 0.17/0.51 (step @p113 :rule bool-impl-elim :args (@t7 @t126)) % 0.17/0.51 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t7 @t126)))) % 0.17/0.51 (step @p115 :rule exists-elim :args ((= @t6 @t126))) % 0.17/0.51 (step @p116 :rule refl :args (@t7)) % 0.17/0.51 (step @p117 :rule cong :premises (@p116 @p115) :args (@t8)) % 0.17/0.51 (step @p118 :rule cong :premises (@p117) :args (@t10)) % 0.17/0.51 (step @p119 :rule trans :premises (@p118 @p114)) % 0.17/0.51 (step @p120 :rule eq_resolve :premises (@p1 @p119)) % 0.17/0.51 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t78 @t77))) % 0.17/0.51 (step @p122 :rule bool-double-not-elim :args (@t102)) % 0.17/0.51 (step @p123 :rule refl :args (@t106)) % 0.17/0.51 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t106 (not @t103)))) % 0.17/0.51 (step @p125 :rule cnf_or_neg :args (@t106 1)) % 0.17/0.51 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.17/0.51 (step @p127 :rule reordering :premises (@p126) :args ((or @t102 @t106))) % 0.17/0.51 (step @p128 :rule chain_m_resolution :premises (@p127 @p62) :args (@t102 @t107 @t108)) % 0.17/0.51 (step @p129 :rule cnf_or_pos :args (@t128)) % 0.17/0.51 (step @p130 :rule reordering :premises (@p129) :args ((or @t103 @t127 (not @t128)))) % 0.17/0.51 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p121) :args (@t127 @t129 (@list @t102 @t128))) % 0.17/0.51 (step @p132 :rule refl :args (@t118)) % 0.17/0.51 (step @p133 :rule bool-double-not-elim :args (@t115)) % 0.17/0.51 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t127) @t118))) % 0.17/0.51 (step @p135 :rule bool-double-not-elim :args (@t118)) % 0.17/0.51 (step @p136 :rule refl :args (@t127)) % 0.17/0.51 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t127 @t130))) % 0.17/0.51 (assume-push @p284 @t127) % 0.17/0.51 (step @p139 :rule skolemize :premises (@p131)) % 0.17/0.51 (step-pop @p285 :rule scope :premises (@p139)) % 0.17/0.51 (step @p140 :rule process_scope :premises (@p285) :args (@t130)) % 0.17/0.51 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 0.17/0.51 (step @p143 :rule implies_elim :premises (@p142)) % 0.17/0.51 (step @p144 :rule eq_resolve :premises (@p143 @p134)) % 0.17/0.51 (step @p145 :rule chain_m_resolution :premises (@p144 @p131) :args (@t118 @t107 (@list @t115))) % 0.17/0.51 (step @p146 :rule instantiate :premises (@p120) :args ((@list @t82 @t81))) % 0.17/0.51 (step @p147 :rule bool-double-not-elim :args (@t104)) % 0.17/0.51 (step @p148 :rule nary_cong :premises (@p123 @p147) :args ((or @t106 (not @t105)))) % 0.17/0.51 (step @p149 :rule cnf_or_neg :args (@t106 0)) % 0.17/0.51 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.17/0.51 (step @p151 :rule reordering :premises (@p150) :args ((or @t104 @t106))) % 0.17/0.51 (step @p152 :rule chain_m_resolution :premises (@p151 @p62) :args (@t104 @t107 @t108)) % 0.17/0.51 (step @p153 :rule cnf_or_pos :args (@t132)) % 0.17/0.51 (step @p154 :rule reordering :premises (@p153) :args ((or @t105 @t131 (not @t132)))) % 0.17/0.51 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p146) :args (@t131 @t129 (@list @t104 @t132))) % 0.17/0.51 (step @p156 :rule refl :args (@t120)) % 0.17/0.51 (step @p157 :rule bool-double-not-elim :args (@t113)) % 0.17/0.51 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or (not @t131) @t120))) % 0.17/0.51 (step @p159 :rule bool-double-not-elim :args (@t120)) % 0.17/0.51 (step @p160 :rule refl :args (@t131)) % 0.17/0.51 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t131 @t133))) % 0.17/0.51 (assume-push @p286 @t131) % 0.17/0.51 (step @p163 :rule skolemize :premises (@p155)) % 0.17/0.51 (step-pop @p287 :rule scope :premises (@p163)) % 0.17/0.51 (step @p164 :rule process_scope :premises (@p287) :args (@t133)) % 0.17/0.51 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.17/0.51 (step @p167 :rule implies_elim :premises (@p166)) % 0.17/0.51 (step @p168 :rule eq_resolve :premises (@p167 @p158)) % 0.17/0.51 (step @p169 :rule chain_m_resolution :premises (@p168 @p155) :args (@t120 @t107 (@list @t113))) % 0.17/0.51 (step @p170 :rule bool-double-not-elim :args (@t85)) % 0.17/0.51 (step @p171 :rule nary_cong :premises (@p123 @p170) :args ((or @t106 (not @t86)))) % 0.17/0.51 (step @p172 :rule cnf_or_neg :args (@t106 9)) % 0.17/0.51 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.17/0.51 (step @p174 :rule reordering :premises (@p173) :args ((or @t85 @t106))) % 0.17/0.51 (step @p175 :rule chain_m_resolution :premises (@p174 @p62) :args (@t85 @t107 @t108)) % 0.17/0.51 (step @p176 :rule bool-double-not-elim :args (@t87)) % 0.17/0.51 (step @p177 :rule nary_cong :premises (@p123 @p176) :args ((or @t106 (not @t88)))) % 0.17/0.51 (step @p178 :rule cnf_or_neg :args (@t106 8)) % 0.17/0.51 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.17/0.51 (step @p180 :rule reordering :premises (@p179) :args ((or @t87 @t106))) % 0.17/0.51 (step @p181 :rule chain_m_resolution :premises (@p180 @p62) :args (@t87 @t107 @t108)) % 0.17/0.51 (step @p182 :rule bool-double-not-elim :args (@t89)) % 0.17/0.51 (step @p183 :rule nary_cong :premises (@p123 @p182) :args ((or @t106 (not @t90)))) % 0.17/0.51 (step @p184 :rule cnf_or_neg :args (@t106 7)) % 0.17/0.51 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.17/0.51 (step @p186 :rule reordering :premises (@p185) :args ((or @t89 @t106))) % 0.17/0.51 (step @p187 :rule chain_m_resolution :premises (@p186 @p62) :args (@t89 @t107 @t108)) % 0.17/0.51 (step @p188 :rule bool-double-not-elim :args (@t91)) % 0.17/0.51 (step @p189 :rule nary_cong :premises (@p123 @p188) :args ((or @t106 (not @t92)))) % 0.17/0.51 (step @p190 :rule cnf_or_neg :args (@t106 6)) % 0.17/0.51 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.17/0.51 (step @p192 :rule reordering :premises (@p191) :args ((or @t91 @t106))) % 0.17/0.51 (step @p193 :rule chain_m_resolution :premises (@p192 @p62) :args (@t91 @t107 @t108)) % 0.17/0.51 (step @p194 :rule cnf_or_pos :args (@t125)) % 0.17/0.51 (step @p195 :rule reordering :premises (@p194) :args ((or @t105 @t103 @t92 @t90 @t88 @t86 @t121 @t119 @t124 (not @t125)))) % 0.17/0.51 (step @p196 :rule chain_m_resolution :premises (@p195 @p152 @p128 @p193 @p187 @p181 @p175 @p169 @p145 @p112) :args (@t124 (@list false false false false false false false false false) (@list @t104 @t102 @t91 @t89 @t87 @t85 @t120 @t118 @t125))) % 0.17/0.51 (step @p197 :rule aci_norm :args ((= (or @t134 @t18) (or @t62 @t61 @t60 @t59 @t58 @t57 @t110 @t109 @t52 @t51 @t50 @t18)))) % 0.17/0.51 (step @p198 :rule refl :args (@t18)) % 0.17/0.51 (step @p199 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t59 (or @t58 (or @t57 (or @t110 (or @t109 @t65)))))))) @t134))) % 0.17/0.51 (step @p200 :rule refl :args (@t109)) % 0.17/0.51 (step @p201 :rule nary_cong :premises (@p200 @p13) :args ((or @t109 @t66))) % 0.17/0.51 (step @p202 :rule bool-and-de-morgan :args (@t22 @t38 (and @t37 @t36))) % 0.17/0.51 (step @p203 :rule trans :premises (@p202 @p201)) % 0.17/0.51 (step @p204 :rule refl :args (@t110)) % 0.17/0.51 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t110 (not (and @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p206 :rule bool-and-de-morgan :args (@t24 @t22 (and @t38 @t37 @t36))) % 0.17/0.51 (step @p207 :rule trans :premises (@p206 @p205)) % 0.17/0.51 (step @p208 :rule nary_cong :premises (@p30 @p207) :args ((or @t57 (not (and @t24 @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p209 :rule bool-and-de-morgan :args (@t40 @t24 (and @t22 @t38 @t37 @t36))) % 0.17/0.51 (step @p210 :rule trans :premises (@p209 @p208)) % 0.17/0.51 (step @p211 :rule nary_cong :premises (@p34 @p210) :args ((or @t58 (not (and @t40 @t24 @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p212 :rule bool-and-de-morgan :args (@t41 @t40 (and @t24 @t22 @t38 @t37 @t36))) % 0.17/0.51 (step @p213 :rule trans :premises (@p212 @p211)) % 0.17/0.51 (step @p214 :rule nary_cong :premises (@p38 @p213) :args ((or @t59 (not (and @t41 @t40 @t24 @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p215 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t24 @t22 @t38 @t37 @t36))) % 0.17/0.51 (step @p216 :rule trans :premises (@p215 @p214)) % 0.17/0.51 (step @p217 :rule nary_cong :premises (@p42 @p216) :args ((or @t60 (not (and @t42 @t41 @t40 @t24 @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p218 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t24 @t22 @t38 @t37 @t36))) % 0.17/0.51 (step @p219 :rule trans :premises (@p218 @p217)) % 0.17/0.51 (step @p220 :rule nary_cong :premises (@p46 @p219) :args ((or @t61 (not (and @t43 @t42 @t41 @t40 @t24 @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p221 :rule bool-and-de-morgan :args (@t29 @t43 (and @t42 @t41 @t40 @t24 @t22 @t38 @t37 @t36))) % 0.17/0.51 (step @p222 :rule trans :premises (@p221 @p220)) % 0.17/0.51 (step @p223 :rule nary_cong :premises (@p50 @p222) :args ((or @t62 (not (and @t29 @t43 @t42 @t41 @t40 @t24 @t22 @t38 @t37 @t36))))) % 0.17/0.51 (step @p224 :rule bool-and-de-morgan :args (@t30 @t29 (and @t43 @t42 @t41 @t40 @t24 @t22 @t38 @t37 @t36))) % 0.17/0.51 (step @p225 :rule trans :premises (@p224 @p223)) % 0.17/0.51 (step @p226 :rule trans :premises (@p225 @p199)) % 0.17/0.51 (step @p227 :rule nary_cong :premises (@p226 @p198) :args ((or (not @t44) @t18))) % 0.17/0.51 (step @p228 :rule trans :premises (@p227 @p197)) % 0.17/0.51 (step @p229 :rule bool-impl-elim :args (@t44 @t18)) % 0.17/0.51 (step @p230 :rule trans :premises (@p229 @p228)) % 0.17/0.51 (step @p231 :rule cong :premises (@p230) :args (@t45)) % 0.17/0.51 (step @p232 :rule eq_resolve :premises (@p3 @p231)) % 0.17/0.51 (step @p233 :rule instantiate :premises (@p232) :args ((@list @t82 @t78 @t93 @t114 @t116 @t73 @t74 @t81 @t77))) % 0.17/0.51 (step @p234 :rule bool-double-not-elim :args (@t75)) % 0.17/0.51 (step @p235 :rule nary_cong :premises (@p123 @p234) :args ((or @t106 (not @t76)))) % 0.17/0.51 (step @p236 :rule cnf_or_neg :args (@t106 12)) % 0.17/0.51 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 0.17/0.51 (step @p238 :rule reordering :premises (@p237) :args ((or @t75 @t106))) % 0.17/0.51 (step @p239 :rule chain_m_resolution :premises (@p238 @p62) :args (@t75 @t107 @t108)) % 0.17/0.51 (step @p240 :rule bool-double-not-elim :args (@t79)) % 0.17/0.51 (step @p241 :rule nary_cong :premises (@p123 @p240) :args ((or @t106 (not @t80)))) % 0.17/0.51 (step @p242 :rule cnf_or_neg :args (@t106 11)) % 0.17/0.51 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.17/0.51 (step @p244 :rule reordering :premises (@p243) :args ((or @t79 @t106))) % 0.17/0.51 (step @p245 :rule chain_m_resolution :premises (@p244 @p62) :args (@t79 @t107 @t108)) % 0.17/0.51 (step @p246 :rule bool-double-not-elim :args (@t83)) % 0.17/0.51 (step @p247 :rule nary_cong :premises (@p123 @p246) :args ((or @t106 (not @t84)))) % 0.17/0.51 (step @p248 :rule cnf_or_neg :args (@t106 10)) % 0.17/0.51 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 0.17/0.51 (step @p250 :rule reordering :premises (@p249) :args ((or @t83 @t106))) % 0.17/0.51 (step @p251 :rule chain_m_resolution :premises (@p250 @p62) :args (@t83 @t107 @t108)) % 0.17/0.51 (step @p252 :rule bool-double-not-elim :args (@t94)) % 0.17/0.51 (step @p253 :rule nary_cong :premises (@p123 @p252) :args ((or @t106 (not @t95)))) % 0.17/0.51 (step @p254 :rule cnf_or_neg :args (@t106 5)) % 0.17/0.51 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.17/0.51 (step @p256 :rule reordering :premises (@p255) :args ((or @t94 @t106))) % 0.17/0.51 (step @p257 :rule chain_m_resolution :premises (@p256 @p62) :args (@t94 @t107 @t108)) % 0.17/0.51 (step @p258 :rule bool-double-not-elim :args (@t96)) % 0.17/0.51 (step @p259 :rule nary_cong :premises (@p123 @p258) :args ((or @t106 (not @t97)))) % 0.17/0.51 (step @p260 :rule cnf_or_neg :args (@t106 4)) % 0.17/0.51 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 0.17/0.51 (step @p262 :rule reordering :premises (@p261) :args ((or @t96 @t106))) % 0.17/0.51 (step @p263 :rule chain_m_resolution :premises (@p262 @p62) :args (@t96 @t107 @t108)) % 0.17/0.51 (step @p264 :rule bool-double-not-elim :args (@t98)) % 0.17/0.51 (step @p265 :rule nary_cong :premises (@p123 @p264) :args ((or @t106 (not @t99)))) % 0.17/0.51 (step @p266 :rule cnf_or_neg :args (@t106 3)) % 0.17/0.51 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 0.17/0.51 (step @p268 :rule reordering :premises (@p267) :args ((or @t98 @t106))) % 0.17/0.51 (step @p269 :rule chain_m_resolution :premises (@p268 @p62) :args (@t98 @t107 @t108)) % 0.17/0.51 (step @p270 :rule bool-double-not-elim :args (@t100)) % 0.17/0.51 (step @p271 :rule nary_cong :premises (@p123 @p270) :args ((or @t106 (not @t101)))) % 0.17/0.51 (step @p272 :rule cnf_or_neg :args (@t106 2)) % 0.17/0.51 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 0.17/0.51 (step @p274 :rule reordering :premises (@p273) :args ((or @t100 @t106))) % 0.17/0.51 (step @p275 :rule chain_m_resolution :premises (@p274 @p62) :args (@t100 @t107 @t108)) % 0.17/0.51 (step @p276 :rule cnf_or_pos :args (@t135)) % 0.17/0.51 (step @p277 :rule reordering :premises (@p276) :args ((or @t105 @t103 @t101 @t99 @t97 @t95 @t84 @t80 @t76 @t121 @t119 @t117 (not @t135)))) % 0.17/0.51 (step @p278 :rule chain_m_resolution :premises (@p277 @p152 @p128 @p275 @p269 @p263 @p257 @p251 @p245 @p239 @p169 @p145 @p233) :args (@t117 (@list false false false false false false false false false false false false) (@list @t104 @t102 @t100 @t98 @t96 @t94 @t83 @t79 @t75 @t120 @t118 @t135))) % 0.17/0.51 (step @p279 :rule cnf_equiv_pos2 :args (@t124)) % 0.17/0.51 (step @p280 :rule reordering :premises (@p279) :args ((or @t72 (not @t117) (not @t124)))) % 0.17/0.51 (step @p281 false :rule chain_m_resolution :premises (@p280 @p278 @p196 @p64) :args (false (@list false false true) (@list @t117 @t124 @t72))) % 0.17/0.51 ) % 0.17/0.51 % SZS output end Proof % 0.17/0.51 % cvc5 exiting %------------------------------------------------------------------------------