%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT008+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 : n019.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 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT008+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 % 0.11/0.36 % Computer : n019.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Mon Sep 7 11:45:52 UTC 2026 % 0.11/0.36 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.53 % SZS status Theorem % 0.21/0.53 % SZS output start Proof % 0.21/0.53 ( % 0.21/0.53 (declare-sort $$unsorted 0) % 0.21/0.53 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.survival_chance (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.21/0.53 (define @t2 () (@var "I" $$unsorted)) % 0.21/0.53 (define @t3 () (@var "X" $$unsorted)) % 0.21/0.53 (define @t4 () (tptp.inertia @t3 @t2 @t1)) % 0.21/0.53 (define @t5 () (@list @t2)) % 0.21/0.53 (define @t6 () (exists @t5 @t4)) % 0.21/0.53 (define @t7 () (tptp.organization @t3 @t1)) % 0.21/0.53 (define @t8 () (=> @t7 @t6)) % 0.21/0.53 (define @t9 () (@list @t3 @t1)) % 0.21/0.53 (define @t10 () (forall @t9 @t8)) % 0.21/0.53 (define @t11 () (@var "I1" $$unsorted)) % 0.21/0.53 (define @t12 () (@var "I2" $$unsorted)) % 0.21/0.53 (define @t13 () (tptp.greater @t12 @t11)) % 0.21/0.53 (define @t14 () (@var "S1" $$unsorted)) % 0.21/0.53 (define @t15 () (@var "S2" $$unsorted)) % 0.21/0.53 (define @t16 () (tptp.greater @t15 @t14)) % 0.21/0.53 (define @t17 () (@var "T2" $$unsorted)) % 0.21/0.53 (define @t18 () (@var "Y" $$unsorted)) % 0.21/0.53 (define @t19 () (tptp.inertia @t18 @t12 @t17)) % 0.21/0.53 (define @t20 () (@var "T1" $$unsorted)) % 0.21/0.53 (define @t21 () (tptp.inertia @t3 @t11 @t20)) % 0.21/0.53 (define @t22 () (tptp.size @t18 @t15 @t17)) % 0.21/0.53 (define @t23 () (tptp.size @t3 @t14 @t20)) % 0.21/0.53 (define @t24 () (@var "C" $$unsorted)) % 0.21/0.53 (define @t25 () (tptp.class @t18 @t24 @t17)) % 0.21/0.53 (define @t26 () (tptp.class @t3 @t24 @t20)) % 0.21/0.53 (define @t27 () (tptp.organization @t18 @t17)) % 0.21/0.53 (define @t28 () (tptp.organization @t3 @t20)) % 0.21/0.53 (define @t29 () (and @t28 @t27 @t26 @t25 @t23 @t22 @t21 @t19 @t16)) % 0.21/0.53 (define @t30 () (forall (@list @t3 @t18 @t24 @t14 @t15 @t11 @t12 @t20 @t17) (=> @t29 @t13))) % 0.21/0.53 (define @t31 () (@var "P1" $$unsorted)) % 0.21/0.53 (define @t32 () (@var "P2" $$unsorted)) % 0.21/0.53 (define @t33 () (tptp.greater @t32 @t31)) % 0.21/0.53 (define @t34 () (tptp.survival_chance @t18 @t32 @t17)) % 0.21/0.53 (define @t35 () (tptp.survival_chance @t3 @t31 @t20)) % 0.21/0.53 (define @t36 () (tptp.reorganization_free @t18 @t17 @t17)) % 0.21/0.53 (define @t37 () (tptp.reorganization_free @t3 @t20 @t20)) % 0.21/0.53 (define @t38 () (and @t28 @t27 @t37 @t36 @t21 @t19 @t35 @t34 @t13)) % 0.21/0.53 (define @t39 () (forall (@list @t3 @t18 @t20 @t17 @t11 @t12 @t31 @t32) (=> @t38 @t33))) % 0.21/0.53 (define @t40 () (and @t28 @t27 @t37 @t36 @t26 @t25 @t35 @t34 @t23 @t22 @t16)) % 0.21/0.53 (define @t41 () (@list @t3 @t18 @t24 @t31 @t32 @t14 @t15 @t20 @t17)) % 0.21/0.53 (define @t42 () (forall @t41 (=> @t40 @t33))) % 0.21/0.53 (define @t43 () (not @t42)) % 0.21/0.53 (define @t44 () (not @t16)) % 0.21/0.53 (define @t45 () (not @t22)) % 0.21/0.53 (define @t46 () (not @t23)) % 0.21/0.53 (define @t47 () (not @t34)) % 0.21/0.53 (define @t48 () (not @t35)) % 0.21/0.53 (define @t49 () (not @t25)) % 0.21/0.53 (define @t50 () (not @t26)) % 0.21/0.53 (define @t51 () (not @t36)) % 0.21/0.53 (define @t52 () (not @t37)) % 0.21/0.53 (define @t53 () (not @t27)) % 0.21/0.53 (define @t54 () (not @t28)) % 0.21/0.53 (define @t55 () (or @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46 @t45 @t44 @t33)) % 0.21/0.53 (define @t56 () (or @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46 @t45 @t44)) % 0.21/0.53 (define @t57 () (forall @t41 @t55)) % 0.21/0.53 (define @t58 () (@quantifiers_skolemize @t57 7)) % 0.21/0.53 (define @t59 () (@quantifiers_skolemize @t57 0)) % 0.21/0.53 (define @t60 () (tptp.organization @t59 @t58)) % 0.21/0.53 (define @t61 () (@quantifiers_skolemize @t57 3)) % 0.21/0.53 (define @t62 () (@quantifiers_skolemize @t57 4)) % 0.21/0.53 (define @t63 () (tptp.greater @t62 @t61)) % 0.21/0.53 (define @t64 () (@quantifiers_skolemize @t57 5)) % 0.21/0.53 (define @t65 () (@quantifiers_skolemize @t57 6)) % 0.21/0.53 (define @t66 () (tptp.greater @t65 @t64)) % 0.21/0.53 (define @t67 () (not @t66)) % 0.21/0.53 (define @t68 () (@quantifiers_skolemize @t57 8)) % 0.21/0.53 (define @t69 () (@quantifiers_skolemize @t57 1)) % 0.21/0.53 (define @t70 () (tptp.size @t69 @t65 @t68)) % 0.21/0.53 (define @t71 () (not @t70)) % 0.21/0.53 (define @t72 () (tptp.size @t59 @t64 @t58)) % 0.21/0.53 (define @t73 () (not @t72)) % 0.21/0.53 (define @t74 () (tptp.survival_chance @t69 @t62 @t68)) % 0.21/0.53 (define @t75 () (not @t74)) % 0.21/0.53 (define @t76 () (tptp.survival_chance @t59 @t61 @t58)) % 0.21/0.53 (define @t77 () (not @t76)) % 0.21/0.53 (define @t78 () (@quantifiers_skolemize @t57 2)) % 0.21/0.53 (define @t79 () (tptp.class @t69 @t78 @t68)) % 0.21/0.53 (define @t80 () (not @t79)) % 0.21/0.53 (define @t81 () (tptp.class @t59 @t78 @t58)) % 0.21/0.53 (define @t82 () (not @t81)) % 0.21/0.53 (define @t83 () (tptp.reorganization_free @t69 @t68 @t68)) % 0.21/0.53 (define @t84 () (not @t83)) % 0.21/0.53 (define @t85 () (tptp.reorganization_free @t59 @t58 @t58)) % 0.21/0.53 (define @t86 () (not @t85)) % 0.21/0.53 (define @t87 () (tptp.organization @t69 @t68)) % 0.21/0.53 (define @t88 () (not @t87)) % 0.21/0.53 (define @t89 () (not @t60)) % 0.21/0.53 (define @t90 () (or @t89 @t88 @t86 @t84 @t82 @t80 @t77 @t75 @t73 @t71 @t67 @t63)) % 0.21/0.53 (define @t91 () (@list true)) % 0.21/0.53 (define @t92 () (@list @t90)) % 0.21/0.53 (define @t93 () (not (forall @t5 (not @t4)))) % 0.21/0.53 (define @t94 () (forall @t5 (not (tptp.inertia @t59 @t2 @t58)))) % 0.21/0.53 (define @t95 () (not @t94)) % 0.21/0.53 (define @t96 () (or @t89 @t95)) % 0.21/0.53 (define @t97 () (@list false false)) % 0.21/0.53 (define @t98 () (@quantifiers_skolemize @t94 0)) % 0.21/0.53 (define @t99 () (tptp.inertia @t59 @t98 @t58)) % 0.21/0.53 (define @t100 () (not @t99)) % 0.21/0.53 (define @t101 () (not @t100)) % 0.21/0.53 (define @t102 () (forall @t5 (not (tptp.inertia @t69 @t2 @t68)))) % 0.21/0.53 (define @t103 () (not @t102)) % 0.21/0.53 (define @t104 () (or @t88 @t103)) % 0.21/0.53 (define @t105 () (@quantifiers_skolemize @t102 0)) % 0.21/0.53 (define @t106 () (tptp.inertia @t69 @t105 @t68)) % 0.21/0.53 (define @t107 () (not @t106)) % 0.21/0.53 (define @t108 () (not @t107)) % 0.21/0.53 (define @t109 () (not @t13)) % 0.21/0.53 (define @t110 () (not @t19)) % 0.21/0.53 (define @t111 () (not @t21)) % 0.21/0.53 (define @t112 () (or @t54 @t53 @t52 @t51 @t111 @t110 @t48 @t47 @t109)) % 0.21/0.53 (define @t113 () (or @t54 @t53 @t50 @t49 @t46 @t45 @t111 @t110 @t44)) % 0.21/0.53 (define @t114 () (tptp.greater @t105 @t98)) % 0.21/0.53 (define @t115 () (or @t89 @t88 @t82 @t80 @t73 @t71 @t100 @t107 @t67 @t114)) % 0.21/0.53 (define @t116 () (not @t114)) % 0.21/0.53 (define @t117 () (or @t89 @t88 @t86 @t84 @t100 @t107 @t77 @t75 @t116 @t63)) % 0.21/0.53 (assume @p1 @t10) % 0.21/0.53 (assume @p2 @t30) % 0.21/0.53 (assume @p3 @t39) % 0.21/0.53 (assume @p4 @t43) % 0.21/0.53 (assume @p5 true) % 0.21/0.53 (step @p6 :rule aci_norm :args ((= (or @t56 @t33) @t55))) % 0.21/0.53 (step @p7 :rule refl :args (@t33)) % 0.21/0.53 (step @p8 :rule aci_norm :args ((= (or @t54 (or @t53 (or @t52 (or @t51 (or @t50 (or @t49 (or @t48 (or @t47 (or @t46 (or @t45 @t44)))))))))) @t56))) % 0.21/0.53 (step @p9 :rule bool-and-de-morgan :args (@t22 @t16 true)) % 0.21/0.53 (step @p10 :rule refl :args (@t46)) % 0.21/0.53 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t46 (not (and @t22 @t16))))) % 0.21/0.53 (step @p12 :rule bool-and-de-morgan :args (@t23 @t22 (and @t16))) % 0.21/0.53 (step @p13 :rule trans :premises (@p12 @p11)) % 0.21/0.53 (step @p14 :rule refl :args (@t47)) % 0.21/0.53 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t47 (not (and @t23 @t22 @t16))))) % 0.21/0.53 (step @p16 :rule bool-and-de-morgan :args (@t34 @t23 (and @t22 @t16))) % 0.21/0.53 (step @p17 :rule trans :premises (@p16 @p15)) % 0.21/0.53 (step @p18 :rule refl :args (@t48)) % 0.21/0.53 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t48 (not (and @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p20 :rule bool-and-de-morgan :args (@t35 @t34 (and @t23 @t22 @t16))) % 0.21/0.53 (step @p21 :rule trans :premises (@p20 @p19)) % 0.21/0.53 (step @p22 :rule refl :args (@t49)) % 0.21/0.53 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t49 (not (and @t35 @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p24 :rule bool-and-de-morgan :args (@t25 @t35 (and @t34 @t23 @t22 @t16))) % 0.21/0.53 (step @p25 :rule trans :premises (@p24 @p23)) % 0.21/0.53 (step @p26 :rule refl :args (@t50)) % 0.21/0.53 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t50 (not (and @t25 @t35 @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p28 :rule bool-and-de-morgan :args (@t26 @t25 (and @t35 @t34 @t23 @t22 @t16))) % 0.21/0.53 (step @p29 :rule trans :premises (@p28 @p27)) % 0.21/0.53 (step @p30 :rule refl :args (@t51)) % 0.21/0.53 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t51 (not (and @t26 @t25 @t35 @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p32 :rule bool-and-de-morgan :args (@t36 @t26 (and @t25 @t35 @t34 @t23 @t22 @t16))) % 0.21/0.53 (step @p33 :rule trans :premises (@p32 @p31)) % 0.21/0.53 (step @p34 :rule refl :args (@t52)) % 0.21/0.53 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t52 (not (and @t36 @t26 @t25 @t35 @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p36 :rule bool-and-de-morgan :args (@t37 @t36 (and @t26 @t25 @t35 @t34 @t23 @t22 @t16))) % 0.21/0.53 (step @p37 :rule trans :premises (@p36 @p35)) % 0.21/0.53 (step @p38 :rule refl :args (@t53)) % 0.21/0.53 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t53 (not (and @t37 @t36 @t26 @t25 @t35 @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p40 :rule bool-and-de-morgan :args (@t27 @t37 (and @t36 @t26 @t25 @t35 @t34 @t23 @t22 @t16))) % 0.21/0.53 (step @p41 :rule trans :premises (@p40 @p39)) % 0.21/0.53 (step @p42 :rule refl :args (@t54)) % 0.21/0.53 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t54 (not (and @t27 @t37 @t36 @t26 @t25 @t35 @t34 @t23 @t22 @t16))))) % 0.21/0.53 (step @p44 :rule bool-and-de-morgan :args (@t28 @t27 (and @t37 @t36 @t26 @t25 @t35 @t34 @t23 @t22 @t16))) % 0.21/0.53 (step @p45 :rule trans :premises (@p44 @p43)) % 0.21/0.53 (step @p46 :rule trans :premises (@p45 @p8)) % 0.21/0.53 (step @p47 :rule nary_cong :premises (@p46 @p7) :args ((or (not @t40) @t33))) % 0.21/0.53 (step @p48 :rule trans :premises (@p47 @p6)) % 0.21/0.53 (step @p49 :rule bool-impl-elim :args (@t40 @t33)) % 0.21/0.53 (step @p50 :rule trans :premises (@p49 @p48)) % 0.21/0.53 (step @p51 :rule cong :premises (@p50) :args (@t42)) % 0.21/0.53 (step @p52 :rule cong :premises (@p51) :args (@t43)) % 0.21/0.53 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 0.21/0.53 (step @p54 :rule skolemize :premises (@p53)) % 0.21/0.53 (step @p55 :rule bool-double-not-elim :args (@t60)) % 0.21/0.53 (step @p56 :rule refl :args (@t90)) % 0.21/0.53 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t90 (not @t89)))) % 0.21/0.53 (step @p58 :rule cnf_or_neg :args (@t90 0)) % 0.21/0.53 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.21/0.53 (step @p60 :rule reordering :premises (@p59) :args ((or @t60 @t90))) % 0.21/0.53 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t60 @t91 @t92)) % 0.21/0.53 (step @p62 :rule bool-double-not-elim :args (@t87)) % 0.21/0.53 (step @p63 :rule nary_cong :premises (@p56 @p62) :args ((or @t90 (not @t88)))) % 0.21/0.53 (step @p64 :rule cnf_or_neg :args (@t90 1)) % 0.21/0.53 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.21/0.53 (step @p66 :rule reordering :premises (@p65) :args ((or @t87 @t90))) % 0.21/0.53 (step @p67 :rule chain_m_resolution :premises (@p66 @p54) :args (@t87 @t91 @t92)) % 0.21/0.53 (step @p68 :rule bool-double-not-elim :args (@t85)) % 0.21/0.53 (step @p69 :rule nary_cong :premises (@p56 @p68) :args ((or @t90 (not @t86)))) % 0.21/0.53 (step @p70 :rule cnf_or_neg :args (@t90 2)) % 0.21/0.53 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.21/0.53 (step @p72 :rule reordering :premises (@p71) :args ((or @t85 @t90))) % 0.21/0.53 (step @p73 :rule chain_m_resolution :premises (@p72 @p54) :args (@t85 @t91 @t92)) % 0.21/0.53 (step @p74 :rule bool-double-not-elim :args (@t83)) % 0.21/0.53 (step @p75 :rule nary_cong :premises (@p56 @p74) :args ((or @t90 (not @t84)))) % 0.21/0.53 (step @p76 :rule cnf_or_neg :args (@t90 3)) % 0.21/0.53 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.21/0.53 (step @p78 :rule reordering :premises (@p77) :args ((or @t83 @t90))) % 0.21/0.53 (step @p79 :rule chain_m_resolution :premises (@p78 @p54) :args (@t83 @t91 @t92)) % 0.21/0.53 (step @p80 :rule bool-double-not-elim :args (@t76)) % 0.21/0.53 (step @p81 :rule nary_cong :premises (@p56 @p80) :args ((or @t90 (not @t77)))) % 0.21/0.53 (step @p82 :rule cnf_or_neg :args (@t90 6)) % 0.21/0.53 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.21/0.53 (step @p84 :rule reordering :premises (@p83) :args ((or @t76 @t90))) % 0.21/0.53 (step @p85 :rule chain_m_resolution :premises (@p84 @p54) :args (@t76 @t91 @t92)) % 0.21/0.53 (step @p86 :rule bool-double-not-elim :args (@t74)) % 0.21/0.53 (step @p87 :rule nary_cong :premises (@p56 @p86) :args ((or @t90 (not @t75)))) % 0.21/0.53 (step @p88 :rule cnf_or_neg :args (@t90 7)) % 0.21/0.53 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.21/0.53 (step @p90 :rule reordering :premises (@p89) :args ((or @t74 @t90))) % 0.21/0.53 (step @p91 :rule chain_m_resolution :premises (@p90 @p54) :args (@t74 @t91 @t92)) % 0.21/0.53 (step @p92 :rule cnf_or_neg :args (@t90 11)) % 0.21/0.53 (step @p93 :rule chain_m_resolution :premises (@p92 @p54) :args ((not @t63) @t91 @t92)) % 0.21/0.53 (step @p94 :rule bool-impl-elim :args (@t7 @t93)) % 0.21/0.53 (step @p95 :rule cong :premises (@p94) :args ((forall @t9 (=> @t7 @t93)))) % 0.21/0.53 (step @p96 :rule exists-elim :args ((= @t6 @t93))) % 0.21/0.53 (step @p97 :rule refl :args (@t7)) % 0.21/0.53 (step @p98 :rule cong :premises (@p97 @p96) :args (@t8)) % 0.21/0.53 (step @p99 :rule cong :premises (@p98) :args (@t10)) % 0.21/0.53 (step @p100 :rule trans :premises (@p99 @p95)) % 0.21/0.53 (step @p101 :rule eq_resolve :premises (@p1 @p100)) % 0.21/0.53 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t59 @t58))) % 0.21/0.53 (step @p103 :rule cnf_or_pos :args (@t96)) % 0.21/0.53 (step @p104 :rule reordering :premises (@p103) :args ((or @t89 @t95 (not @t96)))) % 0.21/0.53 (step @p105 :rule chain_m_resolution :premises (@p104 @p61 @p102) :args (@t95 @t97 (@list @t60 @t96))) % 0.21/0.53 (step @p106 :rule refl :args (@t99)) % 0.21/0.53 (step @p107 :rule bool-double-not-elim :args (@t94)) % 0.21/0.53 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t95) @t99))) % 0.21/0.53 (step @p109 :rule bool-double-not-elim :args (@t99)) % 0.21/0.53 (step @p110 :rule refl :args (@t95)) % 0.21/0.53 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t95 @t101))) % 0.21/0.53 (assume-push @p242 @t95) % 0.21/0.53 (step @p113 :rule skolemize :premises (@p105)) % 0.21/0.53 (step-pop @p243 :rule scope :premises (@p113)) % 0.21/0.53 (step @p114 :rule process_scope :premises (@p243) :args (@t101)) % 0.21/0.53 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.21/0.53 (step @p117 :rule implies_elim :premises (@p116)) % 0.21/0.53 (step @p118 :rule eq_resolve :premises (@p117 @p108)) % 0.21/0.53 (step @p119 :rule chain_m_resolution :premises (@p118 @p105) :args (@t99 @t91 (@list @t94))) % 0.21/0.53 (step @p120 :rule instantiate :premises (@p101) :args ((@list @t69 @t68))) % 0.21/0.53 (step @p121 :rule cnf_or_pos :args (@t104)) % 0.21/0.53 (step @p122 :rule reordering :premises (@p121) :args ((or @t88 @t103 (not @t104)))) % 0.21/0.53 (step @p123 :rule chain_m_resolution :premises (@p122 @p67 @p120) :args (@t103 @t97 (@list @t87 @t104))) % 0.21/0.53 (step @p124 :rule refl :args (@t106)) % 0.21/0.53 (step @p125 :rule bool-double-not-elim :args (@t102)) % 0.21/0.53 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t103) @t106))) % 0.21/0.53 (step @p127 :rule bool-double-not-elim :args (@t106)) % 0.21/0.53 (step @p128 :rule refl :args (@t103)) % 0.21/0.53 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t103 @t108))) % 0.21/0.53 (assume-push @p244 @t103) % 0.21/0.53 (step @p131 :rule skolemize :premises (@p123)) % 0.21/0.53 (step-pop @p245 :rule scope :premises (@p131)) % 0.21/0.53 (step @p132 :rule process_scope :premises (@p245) :args (@t108)) % 0.21/0.53 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 0.21/0.53 (step @p135 :rule implies_elim :premises (@p134)) % 0.21/0.53 (step @p136 :rule eq_resolve :premises (@p135 @p126)) % 0.21/0.53 (step @p137 :rule chain_m_resolution :premises (@p136 @p123) :args (@t106 @t91 (@list @t102))) % 0.21/0.53 (step @p138 :rule aci_norm :args ((= (or @t112 @t33) (or @t54 @t53 @t52 @t51 @t111 @t110 @t48 @t47 @t109 @t33)))) % 0.21/0.53 (step @p139 :rule aci_norm :args ((= (or @t54 (or @t53 (or @t52 (or @t51 (or @t111 (or @t110 (or @t48 (or @t47 @t109)))))))) @t112))) % 0.21/0.53 (step @p140 :rule bool-and-de-morgan :args (@t34 @t13 true)) % 0.21/0.53 (step @p141 :rule nary_cong :premises (@p18 @p140) :args ((or @t48 (not (and @t34 @t13))))) % 0.21/0.53 (step @p142 :rule bool-and-de-morgan :args (@t35 @t34 (and @t13))) % 0.21/0.53 (step @p143 :rule trans :premises (@p142 @p141)) % 0.21/0.53 (step @p144 :rule refl :args (@t110)) % 0.21/0.53 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t110 (not (and @t35 @t34 @t13))))) % 0.21/0.53 (step @p146 :rule bool-and-de-morgan :args (@t19 @t35 (and @t34 @t13))) % 0.21/0.53 (step @p147 :rule trans :premises (@p146 @p145)) % 0.21/0.53 (step @p148 :rule refl :args (@t111)) % 0.21/0.53 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t111 (not (and @t19 @t35 @t34 @t13))))) % 0.21/0.53 (step @p150 :rule bool-and-de-morgan :args (@t21 @t19 (and @t35 @t34 @t13))) % 0.21/0.53 (step @p151 :rule trans :premises (@p150 @p149)) % 0.21/0.53 (step @p152 :rule nary_cong :premises (@p30 @p151) :args ((or @t51 (not (and @t21 @t19 @t35 @t34 @t13))))) % 0.21/0.53 (step @p153 :rule bool-and-de-morgan :args (@t36 @t21 (and @t19 @t35 @t34 @t13))) % 0.21/0.53 (step @p154 :rule trans :premises (@p153 @p152)) % 0.21/0.53 (step @p155 :rule nary_cong :premises (@p34 @p154) :args ((or @t52 (not (and @t36 @t21 @t19 @t35 @t34 @t13))))) % 0.21/0.53 (step @p156 :rule bool-and-de-morgan :args (@t37 @t36 (and @t21 @t19 @t35 @t34 @t13))) % 0.21/0.53 (step @p157 :rule trans :premises (@p156 @p155)) % 0.21/0.53 (step @p158 :rule nary_cong :premises (@p38 @p157) :args ((or @t53 (not (and @t37 @t36 @t21 @t19 @t35 @t34 @t13))))) % 0.21/0.53 (step @p159 :rule bool-and-de-morgan :args (@t27 @t37 (and @t36 @t21 @t19 @t35 @t34 @t13))) % 0.21/0.53 (step @p160 :rule trans :premises (@p159 @p158)) % 0.21/0.53 (step @p161 :rule nary_cong :premises (@p42 @p160) :args ((or @t54 (not (and @t27 @t37 @t36 @t21 @t19 @t35 @t34 @t13))))) % 0.21/0.53 (step @p162 :rule bool-and-de-morgan :args (@t28 @t27 (and @t37 @t36 @t21 @t19 @t35 @t34 @t13))) % 0.21/0.53 (step @p163 :rule trans :premises (@p162 @p161)) % 0.21/0.53 (step @p164 :rule trans :premises (@p163 @p139)) % 0.21/0.53 (step @p165 :rule nary_cong :premises (@p164 @p7) :args ((or (not @t38) @t33))) % 0.21/0.53 (step @p166 :rule trans :premises (@p165 @p138)) % 0.21/0.53 (step @p167 :rule bool-impl-elim :args (@t38 @t33)) % 0.21/0.53 (step @p168 :rule trans :premises (@p167 @p166)) % 0.21/0.53 (step @p169 :rule cong :premises (@p168) :args (@t39)) % 0.21/0.53 (step @p170 :rule eq_resolve :premises (@p3 @p169)) % 0.21/0.53 (step @p171 :rule instantiate :premises (@p170) :args ((@list @t59 @t69 @t58 @t68 @t98 @t105 @t61 @t62))) % 0.21/0.53 (step @p172 :rule aci_norm :args ((= (or @t113 @t13) (or @t54 @t53 @t50 @t49 @t46 @t45 @t111 @t110 @t44 @t13)))) % 0.21/0.53 (step @p173 :rule refl :args (@t13)) % 0.21/0.53 (step @p174 :rule aci_norm :args ((= (or @t54 (or @t53 (or @t50 (or @t49 (or @t46 (or @t45 (or @t111 (or @t110 @t44)))))))) @t113))) % 0.21/0.53 (step @p175 :rule bool-and-de-morgan :args (@t19 @t16 true)) % 0.21/0.53 (step @p176 :rule nary_cong :premises (@p148 @p175) :args ((or @t111 (not (and @t19 @t16))))) % 0.21/0.53 (step @p177 :rule bool-and-de-morgan :args (@t21 @t19 (and @t16))) % 0.21/0.53 (step @p178 :rule trans :premises (@p177 @p176)) % 0.21/0.53 (step @p179 :rule refl :args (@t45)) % 0.21/0.53 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t45 (not (and @t21 @t19 @t16))))) % 0.21/0.53 (step @p181 :rule bool-and-de-morgan :args (@t22 @t21 (and @t19 @t16))) % 0.21/0.53 (step @p182 :rule trans :premises (@p181 @p180)) % 0.21/0.53 (step @p183 :rule nary_cong :premises (@p10 @p182) :args ((or @t46 (not (and @t22 @t21 @t19 @t16))))) % 0.21/0.53 (step @p184 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21 @t19 @t16))) % 0.21/0.53 (step @p185 :rule trans :premises (@p184 @p183)) % 0.21/0.53 (step @p186 :rule nary_cong :premises (@p22 @p185) :args ((or @t49 (not (and @t23 @t22 @t21 @t19 @t16))))) % 0.21/0.53 (step @p187 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22 @t21 @t19 @t16))) % 0.21/0.53 (step @p188 :rule trans :premises (@p187 @p186)) % 0.21/0.53 (step @p189 :rule nary_cong :premises (@p26 @p188) :args ((or @t50 (not (and @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.21/0.53 (step @p190 :rule bool-and-de-morgan :args (@t26 @t25 (and @t23 @t22 @t21 @t19 @t16))) % 0.21/0.53 (step @p191 :rule trans :premises (@p190 @p189)) % 0.21/0.53 (step @p192 :rule nary_cong :premises (@p38 @p191) :args ((or @t53 (not (and @t26 @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.21/0.53 (step @p193 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t23 @t22 @t21 @t19 @t16))) % 0.21/0.53 (step @p194 :rule trans :premises (@p193 @p192)) % 0.21/0.53 (step @p195 :rule nary_cong :premises (@p42 @p194) :args ((or @t54 (not (and @t27 @t26 @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.21/0.53 (step @p196 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t23 @t22 @t21 @t19 @t16))) % 0.21/0.53 (step @p197 :rule trans :premises (@p196 @p195)) % 0.21/0.53 (step @p198 :rule trans :premises (@p197 @p174)) % 0.21/0.53 (step @p199 :rule nary_cong :premises (@p198 @p173) :args ((or (not @t29) @t13))) % 0.21/0.53 (step @p200 :rule trans :premises (@p199 @p172)) % 0.21/0.53 (step @p201 :rule bool-impl-elim :args (@t29 @t13)) % 0.21/0.53 (step @p202 :rule trans :premises (@p201 @p200)) % 0.21/0.53 (step @p203 :rule cong :premises (@p202) :args (@t30)) % 0.21/0.53 (step @p204 :rule eq_resolve :premises (@p2 @p203)) % 0.21/0.53 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t59 @t69 @t78 @t64 @t65 @t98 @t105 @t58 @t68))) % 0.21/0.53 (step @p206 :rule bool-double-not-elim :args (@t66)) % 0.21/0.53 (step @p207 :rule nary_cong :premises (@p56 @p206) :args ((or @t90 (not @t67)))) % 0.21/0.53 (step @p208 :rule cnf_or_neg :args (@t90 10)) % 0.21/0.53 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.21/0.53 (step @p210 :rule reordering :premises (@p209) :args ((or @t66 @t90))) % 0.21/0.53 (step @p211 :rule chain_m_resolution :premises (@p210 @p54) :args (@t66 @t91 @t92)) % 0.21/0.53 (step @p212 :rule bool-double-not-elim :args (@t70)) % 0.21/0.53 (step @p213 :rule nary_cong :premises (@p56 @p212) :args ((or @t90 (not @t71)))) % 0.21/0.53 (step @p214 :rule cnf_or_neg :args (@t90 9)) % 0.21/0.53 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.21/0.53 (step @p216 :rule reordering :premises (@p215) :args ((or @t70 @t90))) % 0.21/0.53 (step @p217 :rule chain_m_resolution :premises (@p216 @p54) :args (@t70 @t91 @t92)) % 0.21/0.53 (step @p218 :rule bool-double-not-elim :args (@t72)) % 0.21/0.53 (step @p219 :rule nary_cong :premises (@p56 @p218) :args ((or @t90 (not @t73)))) % 0.21/0.53 (step @p220 :rule cnf_or_neg :args (@t90 8)) % 0.21/0.53 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.21/0.53 (step @p222 :rule reordering :premises (@p221) :args ((or @t72 @t90))) % 0.21/0.53 (step @p223 :rule chain_m_resolution :premises (@p222 @p54) :args (@t72 @t91 @t92)) % 0.21/0.53 (step @p224 :rule bool-double-not-elim :args (@t79)) % 0.21/0.53 (step @p225 :rule nary_cong :premises (@p56 @p224) :args ((or @t90 (not @t80)))) % 0.21/0.53 (step @p226 :rule cnf_or_neg :args (@t90 5)) % 0.21/0.53 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.21/0.53 (step @p228 :rule reordering :premises (@p227) :args ((or @t79 @t90))) % 0.21/0.53 (step @p229 :rule chain_m_resolution :premises (@p228 @p54) :args (@t79 @t91 @t92)) % 0.21/0.53 (step @p230 :rule bool-double-not-elim :args (@t81)) % 0.21/0.53 (step @p231 :rule nary_cong :premises (@p56 @p230) :args ((or @t90 (not @t82)))) % 0.21/0.53 (step @p232 :rule cnf_or_neg :args (@t90 4)) % 0.21/0.53 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.21/0.53 (step @p234 :rule reordering :premises (@p233) :args ((or @t81 @t90))) % 0.21/0.53 (step @p235 :rule chain_m_resolution :premises (@p234 @p54) :args (@t81 @t91 @t92)) % 0.21/0.53 (step @p236 :rule cnf_or_pos :args (@t115)) % 0.21/0.53 (step @p237 :rule reordering :premises (@p236) :args ((or @t89 @t88 @t82 @t80 @t73 @t71 @t67 @t100 @t107 @t114 (not @t115)))) % 0.21/0.53 (step @p238 :rule chain_m_resolution :premises (@p237 @p61 @p67 @p235 @p229 @p223 @p217 @p211 @p119 @p137 @p205) :args (@t114 (@list false false false false false false false false false false) (@list @t60 @t87 @t81 @t79 @t72 @t70 @t66 @t99 @t106 @t115))) % 0.21/0.53 (step @p239 :rule cnf_or_pos :args (@t117)) % 0.21/0.53 (step @p240 :rule reordering :premises (@p239) :args ((or @t89 @t88 @t86 @t84 @t77 @t75 @t63 @t100 @t107 @t116 (not @t117)))) % 0.21/0.53 (step @p241 false :rule chain_m_resolution :premises (@p240 @p238 @p171 @p137 @p119 @p93 @p91 @p85 @p79 @p73 @p67 @p61) :args (false (@list false false false false true false false false false false false) (@list @t114 @t117 @t106 @t99 @t63 @t74 @t76 @t83 @t85 @t87 @t60))) % 0.21/0.53 ) % 0.21/0.53 % SZS output end Proof % 0.21/0.53 % cvc5 exiting %------------------------------------------------------------------------------