%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT009+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 06:04:42 AM UTC 2026 % Result : Theorem 0.19s 0.47s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT009+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.34 % Computer : n019.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 11:47:07 UTC 2026 % 0.09/0.35 % CPUTime : % 0.14/0.41 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.47 % SZS status Theorem % 0.19/0.47 % SZS output start Proof % 0.19/0.47 ( % 0.19/0.47 (declare-sort $$unsorted 0) % 0.19/0.47 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.47 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.47 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.47 (declare-const tptp.reproducibility (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.47 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.47 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.19/0.47 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.47 (define @t1 () (@var "T" $$unsorted)) % 0.19/0.47 (define @t2 () (@var "I" $$unsorted)) % 0.19/0.47 (define @t3 () (@var "X" $$unsorted)) % 0.19/0.47 (define @t4 () (tptp.inertia @t3 @t2 @t1)) % 0.19/0.47 (define @t5 () (@list @t2)) % 0.19/0.47 (define @t6 () (exists @t5 @t4)) % 0.19/0.47 (define @t7 () (tptp.organization @t3 @t1)) % 0.19/0.47 (define @t8 () (=> @t7 @t6)) % 0.19/0.47 (define @t9 () (@list @t3 @t1)) % 0.19/0.47 (define @t10 () (forall @t9 @t8)) % 0.19/0.47 (define @t11 () (@var "I1" $$unsorted)) % 0.19/0.47 (define @t12 () (@var "I2" $$unsorted)) % 0.19/0.47 (define @t13 () (tptp.greater @t12 @t11)) % 0.19/0.47 (define @t14 () (@var "Rp1" $$unsorted)) % 0.19/0.47 (define @t15 () (@var "Rp2" $$unsorted)) % 0.19/0.47 (define @t16 () (tptp.greater @t15 @t14)) % 0.19/0.47 (define @t17 () (= @t16 @t13)) % 0.19/0.47 (define @t18 () (@var "T2" $$unsorted)) % 0.19/0.47 (define @t19 () (@var "Y" $$unsorted)) % 0.19/0.47 (define @t20 () (tptp.inertia @t19 @t12 @t18)) % 0.19/0.47 (define @t21 () (@var "T1" $$unsorted)) % 0.19/0.47 (define @t22 () (tptp.inertia @t3 @t11 @t21)) % 0.19/0.47 (define @t23 () (tptp.reproducibility @t19 @t15 @t18)) % 0.19/0.47 (define @t24 () (tptp.reproducibility @t3 @t14 @t21)) % 0.19/0.47 (define @t25 () (tptp.reorganization_free @t19 @t18 @t18)) % 0.19/0.47 (define @t26 () (tptp.reorganization_free @t3 @t21 @t21)) % 0.19/0.47 (define @t27 () (tptp.organization @t19 @t18)) % 0.19/0.47 (define @t28 () (tptp.organization @t3 @t21)) % 0.19/0.47 (define @t29 () (and @t28 @t27 @t26 @t25 @t24 @t23 @t22 @t20)) % 0.19/0.47 (define @t30 () (forall (@list @t3 @t19 @t21 @t18 @t14 @t15 @t11 @t12) (=> @t29 @t17))) % 0.19/0.47 (define @t31 () (@var "S1" $$unsorted)) % 0.19/0.47 (define @t32 () (@var "S2" $$unsorted)) % 0.19/0.47 (define @t33 () (tptp.greater @t32 @t31)) % 0.19/0.47 (define @t34 () (tptp.size @t19 @t32 @t18)) % 0.19/0.47 (define @t35 () (tptp.size @t3 @t31 @t21)) % 0.19/0.47 (define @t36 () (@var "C" $$unsorted)) % 0.19/0.47 (define @t37 () (tptp.class @t19 @t36 @t18)) % 0.19/0.47 (define @t38 () (tptp.class @t3 @t36 @t21)) % 0.19/0.47 (define @t39 () (and @t28 @t27 @t38 @t37 @t35 @t34 @t22 @t20 @t33)) % 0.19/0.47 (define @t40 () (forall (@list @t3 @t19 @t36 @t31 @t32 @t11 @t12 @t21 @t18) (=> @t39 @t13))) % 0.19/0.47 (define @t41 () (and @t28 @t27 @t26 @t25 @t38 @t37 @t24 @t23 @t35 @t34 @t33)) % 0.19/0.47 (define @t42 () (@list @t3 @t19 @t36 @t14 @t15 @t31 @t32 @t21 @t18)) % 0.19/0.47 (define @t43 () (forall @t42 (=> @t41 @t16))) % 0.19/0.47 (define @t44 () (not @t43)) % 0.19/0.47 (define @t45 () (not @t33)) % 0.19/0.47 (define @t46 () (not @t34)) % 0.19/0.47 (define @t47 () (not @t35)) % 0.19/0.47 (define @t48 () (not @t23)) % 0.19/0.47 (define @t49 () (not @t24)) % 0.19/0.47 (define @t50 () (not @t37)) % 0.19/0.47 (define @t51 () (not @t38)) % 0.19/0.47 (define @t52 () (not @t25)) % 0.19/0.47 (define @t53 () (not @t26)) % 0.19/0.47 (define @t54 () (not @t27)) % 0.19/0.47 (define @t55 () (not @t28)) % 0.19/0.47 (define @t56 () (or @t55 @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46 @t45 @t16)) % 0.19/0.47 (define @t57 () (or @t55 @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46 @t45)) % 0.19/0.47 (define @t58 () (forall @t42 @t56)) % 0.19/0.47 (define @t59 () (@quantifiers_skolemize @t58 3)) % 0.19/0.47 (define @t60 () (@quantifiers_skolemize @t58 4)) % 0.19/0.47 (define @t61 () (tptp.greater @t60 @t59)) % 0.19/0.47 (define @t62 () (@quantifiers_skolemize @t58 5)) % 0.19/0.47 (define @t63 () (@quantifiers_skolemize @t58 6)) % 0.19/0.47 (define @t64 () (tptp.greater @t63 @t62)) % 0.19/0.47 (define @t65 () (not @t64)) % 0.19/0.47 (define @t66 () (@quantifiers_skolemize @t58 8)) % 0.19/0.47 (define @t67 () (@quantifiers_skolemize @t58 1)) % 0.19/0.47 (define @t68 () (tptp.size @t67 @t63 @t66)) % 0.19/0.47 (define @t69 () (not @t68)) % 0.19/0.47 (define @t70 () (@quantifiers_skolemize @t58 7)) % 0.19/0.47 (define @t71 () (@quantifiers_skolemize @t58 0)) % 0.19/0.47 (define @t72 () (tptp.size @t71 @t62 @t70)) % 0.19/0.47 (define @t73 () (not @t72)) % 0.19/0.47 (define @t74 () (tptp.reproducibility @t67 @t60 @t66)) % 0.19/0.47 (define @t75 () (not @t74)) % 0.19/0.47 (define @t76 () (tptp.reproducibility @t71 @t59 @t70)) % 0.19/0.47 (define @t77 () (not @t76)) % 0.19/0.47 (define @t78 () (@quantifiers_skolemize @t58 2)) % 0.19/0.47 (define @t79 () (tptp.class @t67 @t78 @t66)) % 0.19/0.47 (define @t80 () (not @t79)) % 0.19/0.47 (define @t81 () (tptp.class @t71 @t78 @t70)) % 0.19/0.47 (define @t82 () (not @t81)) % 0.19/0.47 (define @t83 () (tptp.reorganization_free @t67 @t66 @t66)) % 0.19/0.47 (define @t84 () (not @t83)) % 0.19/0.47 (define @t85 () (tptp.reorganization_free @t71 @t70 @t70)) % 0.19/0.47 (define @t86 () (not @t85)) % 0.19/0.47 (define @t87 () (tptp.organization @t67 @t66)) % 0.19/0.47 (define @t88 () (not @t87)) % 0.19/0.47 (define @t89 () (tptp.organization @t71 @t70)) % 0.19/0.47 (define @t90 () (not @t89)) % 0.19/0.47 (define @t91 () (or @t90 @t88 @t86 @t84 @t82 @t80 @t77 @t75 @t73 @t69 @t65 @t61)) % 0.19/0.47 (define @t92 () (@list true)) % 0.19/0.47 (define @t93 () (@list @t91)) % 0.19/0.47 (define @t94 () (not @t20)) % 0.19/0.47 (define @t95 () (not @t22)) % 0.19/0.47 (define @t96 () (or @t55 @t54 @t53 @t52 @t49 @t48 @t95 @t94)) % 0.19/0.47 (define @t97 () (forall @t5 (not (tptp.inertia @t67 @t2 @t66)))) % 0.19/0.47 (define @t98 () (@quantifiers_skolemize @t97 0)) % 0.19/0.47 (define @t99 () (forall @t5 (not (tptp.inertia @t71 @t2 @t70)))) % 0.19/0.47 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.19/0.47 (define @t101 () (not (forall @t5 (not @t4)))) % 0.19/0.47 (define @t102 () (not @t97)) % 0.19/0.47 (define @t103 () (or @t88 @t102)) % 0.19/0.47 (define @t104 () (@list false false)) % 0.19/0.47 (define @t105 () (tptp.inertia @t67 @t98 @t66)) % 0.19/0.47 (define @t106 () (not @t105)) % 0.19/0.47 (define @t107 () (not @t106)) % 0.19/0.47 (define @t108 () (not @t99)) % 0.19/0.47 (define @t109 () (or @t90 @t108)) % 0.19/0.47 (define @t110 () (tptp.inertia @t71 @t100 @t70)) % 0.19/0.47 (define @t111 () (not @t110)) % 0.19/0.47 (define @t112 () (not @t111)) % 0.19/0.47 (define @t113 () (tptp.greater @t98 @t100)) % 0.19/0.47 (define @t114 () (= @t61 @t113)) % 0.19/0.47 (define @t115 () (or @t90 @t88 @t86 @t84 @t77 @t75 @t111 @t106 @t114)) % 0.19/0.47 (define @t116 () (or @t55 @t54 @t51 @t50 @t47 @t46 @t95 @t94 @t45)) % 0.19/0.47 (define @t117 () (or @t90 @t88 @t82 @t80 @t73 @t69 @t111 @t106 @t65 @t113)) % 0.19/0.47 (assume @p1 @t10) % 0.19/0.47 (assume @p2 @t30) % 0.19/0.47 (assume @p3 @t40) % 0.19/0.47 (assume @p4 @t44) % 0.19/0.47 (assume @p5 true) % 0.19/0.47 (step @p6 :rule aci_norm :args ((= (or @t57 @t16) @t56))) % 0.19/0.47 (step @p7 :rule refl :args (@t16)) % 0.19/0.47 (step @p8 :rule aci_norm :args ((= (or @t55 (or @t54 (or @t53 (or @t52 (or @t51 (or @t50 (or @t49 (or @t48 (or @t47 (or @t46 @t45)))))))))) @t57))) % 0.19/0.47 (step @p9 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.19/0.47 (step @p10 :rule refl :args (@t47)) % 0.19/0.47 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t47 (not (and @t34 @t33))))) % 0.19/0.47 (step @p12 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33))) % 0.19/0.47 (step @p13 :rule trans :premises (@p12 @p11)) % 0.19/0.47 (step @p14 :rule refl :args (@t48)) % 0.19/0.47 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t48 (not (and @t35 @t34 @t33))))) % 0.19/0.47 (step @p16 :rule bool-and-de-morgan :args (@t23 @t35 (and @t34 @t33))) % 0.19/0.47 (step @p17 :rule trans :premises (@p16 @p15)) % 0.19/0.47 (step @p18 :rule refl :args (@t49)) % 0.19/0.47 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t49 (not (and @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p20 :rule bool-and-de-morgan :args (@t24 @t23 (and @t35 @t34 @t33))) % 0.19/0.47 (step @p21 :rule trans :premises (@p20 @p19)) % 0.19/0.47 (step @p22 :rule refl :args (@t50)) % 0.19/0.47 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t50 (not (and @t24 @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p24 :rule bool-and-de-morgan :args (@t37 @t24 (and @t23 @t35 @t34 @t33))) % 0.19/0.47 (step @p25 :rule trans :premises (@p24 @p23)) % 0.19/0.47 (step @p26 :rule refl :args (@t51)) % 0.19/0.47 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t51 (not (and @t37 @t24 @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p28 :rule bool-and-de-morgan :args (@t38 @t37 (and @t24 @t23 @t35 @t34 @t33))) % 0.19/0.47 (step @p29 :rule trans :premises (@p28 @p27)) % 0.19/0.47 (step @p30 :rule refl :args (@t52)) % 0.19/0.47 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t52 (not (and @t38 @t37 @t24 @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p32 :rule bool-and-de-morgan :args (@t25 @t38 (and @t37 @t24 @t23 @t35 @t34 @t33))) % 0.19/0.47 (step @p33 :rule trans :premises (@p32 @p31)) % 0.19/0.47 (step @p34 :rule refl :args (@t53)) % 0.19/0.47 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t53 (not (and @t25 @t38 @t37 @t24 @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p36 :rule bool-and-de-morgan :args (@t26 @t25 (and @t38 @t37 @t24 @t23 @t35 @t34 @t33))) % 0.19/0.47 (step @p37 :rule trans :premises (@p36 @p35)) % 0.19/0.47 (step @p38 :rule refl :args (@t54)) % 0.19/0.47 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t54 (not (and @t26 @t25 @t38 @t37 @t24 @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p40 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t38 @t37 @t24 @t23 @t35 @t34 @t33))) % 0.19/0.47 (step @p41 :rule trans :premises (@p40 @p39)) % 0.19/0.47 (step @p42 :rule refl :args (@t55)) % 0.19/0.47 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t55 (not (and @t27 @t26 @t25 @t38 @t37 @t24 @t23 @t35 @t34 @t33))))) % 0.19/0.47 (step @p44 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t38 @t37 @t24 @t23 @t35 @t34 @t33))) % 0.19/0.47 (step @p45 :rule trans :premises (@p44 @p43)) % 0.19/0.47 (step @p46 :rule trans :premises (@p45 @p8)) % 0.19/0.47 (step @p47 :rule nary_cong :premises (@p46 @p7) :args ((or (not @t41) @t16))) % 0.19/0.47 (step @p48 :rule trans :premises (@p47 @p6)) % 0.19/0.47 (step @p49 :rule bool-impl-elim :args (@t41 @t16)) % 0.19/0.47 (step @p50 :rule trans :premises (@p49 @p48)) % 0.19/0.47 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.19/0.47 (step @p52 :rule cong :premises (@p51) :args (@t44)) % 0.19/0.47 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 0.19/0.47 (step @p54 :rule skolemize :premises (@p53)) % 0.19/0.47 (step @p55 :rule cnf_or_neg :args (@t91 11)) % 0.19/0.47 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t61) @t92 @t93)) % 0.19/0.47 (step @p57 :rule aci_norm :args ((= (or @t96 @t17) (or @t55 @t54 @t53 @t52 @t49 @t48 @t95 @t94 @t17)))) % 0.19/0.47 (step @p58 :rule refl :args (@t17)) % 0.19/0.47 (step @p59 :rule aci_norm :args ((= (or @t55 (or @t54 (or @t53 (or @t52 (or @t49 (or @t48 (or @t95 @t94))))))) @t96))) % 0.19/0.47 (step @p60 :rule bool-and-de-morgan :args (@t22 @t20 true)) % 0.19/0.47 (step @p61 :rule nary_cong :premises (@p14 @p60) :args ((or @t48 (not (and @t22 @t20))))) % 0.19/0.47 (step @p62 :rule bool-and-de-morgan :args (@t23 @t22 (and @t20))) % 0.19/0.47 (step @p63 :rule trans :premises (@p62 @p61)) % 0.19/0.47 (step @p64 :rule nary_cong :premises (@p18 @p63) :args ((or @t49 (not (and @t23 @t22 @t20))))) % 0.19/0.47 (step @p65 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22 @t20))) % 0.19/0.47 (step @p66 :rule trans :premises (@p65 @p64)) % 0.19/0.47 (step @p67 :rule nary_cong :premises (@p30 @p66) :args ((or @t52 (not (and @t24 @t23 @t22 @t20))))) % 0.19/0.47 (step @p68 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23 @t22 @t20))) % 0.19/0.47 (step @p69 :rule trans :premises (@p68 @p67)) % 0.19/0.47 (step @p70 :rule nary_cong :premises (@p34 @p69) :args ((or @t53 (not (and @t25 @t24 @t23 @t22 @t20))))) % 0.19/0.47 (step @p71 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t23 @t22 @t20))) % 0.19/0.47 (step @p72 :rule trans :premises (@p71 @p70)) % 0.19/0.47 (step @p73 :rule nary_cong :premises (@p38 @p72) :args ((or @t54 (not (and @t26 @t25 @t24 @t23 @t22 @t20))))) % 0.19/0.47 (step @p74 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24 @t23 @t22 @t20))) % 0.19/0.47 (step @p75 :rule trans :premises (@p74 @p73)) % 0.19/0.47 (step @p76 :rule nary_cong :premises (@p42 @p75) :args ((or @t55 (not (and @t27 @t26 @t25 @t24 @t23 @t22 @t20))))) % 0.19/0.47 (step @p77 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t24 @t23 @t22 @t20))) % 0.19/0.47 (step @p78 :rule trans :premises (@p77 @p76)) % 0.19/0.47 (step @p79 :rule trans :premises (@p78 @p59)) % 0.19/0.47 (step @p80 :rule nary_cong :premises (@p79 @p58) :args ((or (not @t29) @t17))) % 0.19/0.47 (step @p81 :rule trans :premises (@p80 @p57)) % 0.19/0.47 (step @p82 :rule bool-impl-elim :args (@t29 @t17)) % 0.19/0.47 (step @p83 :rule trans :premises (@p82 @p81)) % 0.19/0.47 (step @p84 :rule cong :premises (@p83) :args (@t30)) % 0.19/0.47 (step @p85 :rule eq_resolve :premises (@p2 @p84)) % 0.19/0.47 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t71 @t67 @t70 @t66 @t59 @t60 @t100 @t98))) % 0.19/0.47 (step @p87 :rule bool-impl-elim :args (@t7 @t101)) % 0.19/0.47 (step @p88 :rule cong :premises (@p87) :args ((forall @t9 (=> @t7 @t101)))) % 0.19/0.47 (step @p89 :rule exists-elim :args ((= @t6 @t101))) % 0.19/0.47 (step @p90 :rule refl :args (@t7)) % 0.19/0.47 (step @p91 :rule cong :premises (@p90 @p89) :args (@t8)) % 0.19/0.47 (step @p92 :rule cong :premises (@p91) :args (@t10)) % 0.19/0.47 (step @p93 :rule trans :premises (@p92 @p88)) % 0.19/0.47 (step @p94 :rule eq_resolve :premises (@p1 @p93)) % 0.19/0.47 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t67 @t66))) % 0.19/0.47 (step @p96 :rule bool-double-not-elim :args (@t87)) % 0.19/0.47 (step @p97 :rule refl :args (@t91)) % 0.19/0.47 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t91 (not @t88)))) % 0.19/0.47 (step @p99 :rule cnf_or_neg :args (@t91 1)) % 0.19/0.47 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.19/0.47 (step @p101 :rule reordering :premises (@p100) :args ((or @t87 @t91))) % 0.19/0.47 (step @p102 :rule chain_m_resolution :premises (@p101 @p54) :args (@t87 @t92 @t93)) % 0.19/0.47 (step @p103 :rule cnf_or_pos :args (@t103)) % 0.19/0.47 (step @p104 :rule reordering :premises (@p103) :args ((or @t88 @t102 (not @t103)))) % 0.19/0.47 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p95) :args (@t102 @t104 (@list @t87 @t103))) % 0.19/0.47 (step @p106 :rule refl :args (@t105)) % 0.19/0.47 (step @p107 :rule bool-double-not-elim :args (@t97)) % 0.19/0.47 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t102) @t105))) % 0.19/0.47 (step @p109 :rule bool-double-not-elim :args (@t105)) % 0.19/0.47 (step @p110 :rule refl :args (@t102)) % 0.19/0.47 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t102 @t107))) % 0.19/0.47 (assume-push @p242 @t102) % 0.19/0.47 (step @p113 :rule skolemize :premises (@p105)) % 0.19/0.47 (step-pop @p243 :rule scope :premises (@p113)) % 0.19/0.47 (step @p114 :rule process_scope :premises (@p243) :args (@t107)) % 0.19/0.47 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.19/0.47 (step @p117 :rule implies_elim :premises (@p116)) % 0.19/0.47 (step @p118 :rule eq_resolve :premises (@p117 @p108)) % 0.19/0.47 (step @p119 :rule chain_m_resolution :premises (@p118 @p105) :args (@t105 @t92 (@list @t97))) % 0.19/0.47 (step @p120 :rule instantiate :premises (@p94) :args ((@list @t71 @t70))) % 0.19/0.47 (step @p121 :rule bool-double-not-elim :args (@t89)) % 0.19/0.47 (step @p122 :rule nary_cong :premises (@p97 @p121) :args ((or @t91 (not @t90)))) % 0.19/0.47 (step @p123 :rule cnf_or_neg :args (@t91 0)) % 0.19/0.47 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.19/0.47 (step @p125 :rule reordering :premises (@p124) :args ((or @t89 @t91))) % 0.19/0.47 (step @p126 :rule chain_m_resolution :premises (@p125 @p54) :args (@t89 @t92 @t93)) % 0.19/0.47 (step @p127 :rule cnf_or_pos :args (@t109)) % 0.19/0.47 (step @p128 :rule reordering :premises (@p127) :args ((or @t90 @t108 (not @t109)))) % 0.19/0.47 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p120) :args (@t108 @t104 (@list @t89 @t109))) % 0.19/0.47 (step @p130 :rule refl :args (@t110)) % 0.19/0.47 (step @p131 :rule bool-double-not-elim :args (@t99)) % 0.19/0.47 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t108) @t110))) % 0.19/0.47 (step @p133 :rule bool-double-not-elim :args (@t110)) % 0.19/0.47 (step @p134 :rule refl :args (@t108)) % 0.19/0.47 (step @p135 :rule cong :premises (@p134 @p133) :args ((=> @t108 @t112))) % 0.19/0.47 (assume-push @p244 @t108) % 0.19/0.47 (step @p137 :rule skolemize :premises (@p129)) % 0.19/0.47 (step-pop @p245 :rule scope :premises (@p137)) % 0.19/0.47 (step @p138 :rule process_scope :premises (@p245) :args (@t112)) % 0.19/0.47 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 0.19/0.47 (step @p141 :rule implies_elim :premises (@p140)) % 0.19/0.47 (step @p142 :rule eq_resolve :premises (@p141 @p132)) % 0.19/0.47 (step @p143 :rule chain_m_resolution :premises (@p142 @p129) :args (@t110 @t92 (@list @t99))) % 0.19/0.47 (step @p144 :rule bool-double-not-elim :args (@t74)) % 0.19/0.47 (step @p145 :rule nary_cong :premises (@p97 @p144) :args ((or @t91 (not @t75)))) % 0.19/0.47 (step @p146 :rule cnf_or_neg :args (@t91 7)) % 0.19/0.47 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.19/0.47 (step @p148 :rule reordering :premises (@p147) :args ((or @t74 @t91))) % 0.19/0.47 (step @p149 :rule chain_m_resolution :premises (@p148 @p54) :args (@t74 @t92 @t93)) % 0.19/0.47 (step @p150 :rule bool-double-not-elim :args (@t76)) % 0.19/0.47 (step @p151 :rule nary_cong :premises (@p97 @p150) :args ((or @t91 (not @t77)))) % 0.19/0.47 (step @p152 :rule cnf_or_neg :args (@t91 6)) % 0.19/0.47 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.19/0.47 (step @p154 :rule reordering :premises (@p153) :args ((or @t76 @t91))) % 0.19/0.47 (step @p155 :rule chain_m_resolution :premises (@p154 @p54) :args (@t76 @t92 @t93)) % 0.19/0.47 (step @p156 :rule bool-double-not-elim :args (@t83)) % 0.19/0.47 (step @p157 :rule nary_cong :premises (@p97 @p156) :args ((or @t91 (not @t84)))) % 0.19/0.47 (step @p158 :rule cnf_or_neg :args (@t91 3)) % 0.19/0.47 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.19/0.47 (step @p160 :rule reordering :premises (@p159) :args ((or @t83 @t91))) % 0.19/0.47 (step @p161 :rule chain_m_resolution :premises (@p160 @p54) :args (@t83 @t92 @t93)) % 0.19/0.47 (step @p162 :rule bool-double-not-elim :args (@t85)) % 0.19/0.47 (step @p163 :rule nary_cong :premises (@p97 @p162) :args ((or @t91 (not @t86)))) % 0.19/0.47 (step @p164 :rule cnf_or_neg :args (@t91 2)) % 0.19/0.47 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.19/0.47 (step @p166 :rule reordering :premises (@p165) :args ((or @t85 @t91))) % 0.19/0.47 (step @p167 :rule chain_m_resolution :premises (@p166 @p54) :args (@t85 @t92 @t93)) % 0.19/0.47 (step @p168 :rule cnf_or_pos :args (@t115)) % 0.19/0.47 (step @p169 :rule reordering :premises (@p168) :args ((or @t90 @t88 @t86 @t84 @t77 @t75 @t111 @t106 @t114 (not @t115)))) % 0.19/0.47 (step @p170 :rule chain_m_resolution :premises (@p169 @p126 @p102 @p167 @p161 @p155 @p149 @p143 @p119 @p86) :args (@t114 (@list false false false false false false false false false) (@list @t89 @t87 @t85 @t83 @t76 @t74 @t110 @t105 @t115))) % 0.19/0.47 (step @p171 :rule aci_norm :args ((= (or @t116 @t13) (or @t55 @t54 @t51 @t50 @t47 @t46 @t95 @t94 @t45 @t13)))) % 0.19/0.47 (step @p172 :rule refl :args (@t13)) % 0.19/0.47 (step @p173 :rule aci_norm :args ((= (or @t55 (or @t54 (or @t51 (or @t50 (or @t47 (or @t46 (or @t95 (or @t94 @t45)))))))) @t116))) % 0.19/0.47 (step @p174 :rule bool-and-de-morgan :args (@t20 @t33 true)) % 0.19/0.47 (step @p175 :rule refl :args (@t95)) % 0.19/0.47 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t95 (not (and @t20 @t33))))) % 0.19/0.47 (step @p177 :rule bool-and-de-morgan :args (@t22 @t20 (and @t33))) % 0.19/0.47 (step @p178 :rule trans :premises (@p177 @p176)) % 0.19/0.47 (step @p179 :rule refl :args (@t46)) % 0.19/0.47 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t46 (not (and @t22 @t20 @t33))))) % 0.19/0.47 (step @p181 :rule bool-and-de-morgan :args (@t34 @t22 (and @t20 @t33))) % 0.19/0.47 (step @p182 :rule trans :premises (@p181 @p180)) % 0.19/0.47 (step @p183 :rule nary_cong :premises (@p10 @p182) :args ((or @t47 (not (and @t34 @t22 @t20 @t33))))) % 0.19/0.47 (step @p184 :rule bool-and-de-morgan :args (@t35 @t34 (and @t22 @t20 @t33))) % 0.19/0.47 (step @p185 :rule trans :premises (@p184 @p183)) % 0.19/0.47 (step @p186 :rule nary_cong :premises (@p22 @p185) :args ((or @t50 (not (and @t35 @t34 @t22 @t20 @t33))))) % 0.19/0.47 (step @p187 :rule bool-and-de-morgan :args (@t37 @t35 (and @t34 @t22 @t20 @t33))) % 0.19/0.47 (step @p188 :rule trans :premises (@p187 @p186)) % 0.19/0.47 (step @p189 :rule nary_cong :premises (@p26 @p188) :args ((or @t51 (not (and @t37 @t35 @t34 @t22 @t20 @t33))))) % 0.19/0.47 (step @p190 :rule bool-and-de-morgan :args (@t38 @t37 (and @t35 @t34 @t22 @t20 @t33))) % 0.19/0.47 (step @p191 :rule trans :premises (@p190 @p189)) % 0.19/0.47 (step @p192 :rule nary_cong :premises (@p38 @p191) :args ((or @t54 (not (and @t38 @t37 @t35 @t34 @t22 @t20 @t33))))) % 0.19/0.47 (step @p193 :rule bool-and-de-morgan :args (@t27 @t38 (and @t37 @t35 @t34 @t22 @t20 @t33))) % 0.19/0.47 (step @p194 :rule trans :premises (@p193 @p192)) % 0.19/0.47 (step @p195 :rule nary_cong :premises (@p42 @p194) :args ((or @t55 (not (and @t27 @t38 @t37 @t35 @t34 @t22 @t20 @t33))))) % 0.19/0.47 (step @p196 :rule bool-and-de-morgan :args (@t28 @t27 (and @t38 @t37 @t35 @t34 @t22 @t20 @t33))) % 0.19/0.47 (step @p197 :rule trans :premises (@p196 @p195)) % 0.19/0.47 (step @p198 :rule trans :premises (@p197 @p173)) % 0.19/0.47 (step @p199 :rule nary_cong :premises (@p198 @p172) :args ((or (not @t39) @t13))) % 0.19/0.47 (step @p200 :rule trans :premises (@p199 @p171)) % 0.19/0.47 (step @p201 :rule bool-impl-elim :args (@t39 @t13)) % 0.19/0.47 (step @p202 :rule trans :premises (@p201 @p200)) % 0.19/0.47 (step @p203 :rule cong :premises (@p202) :args (@t40)) % 0.19/0.47 (step @p204 :rule eq_resolve :premises (@p3 @p203)) % 0.19/0.47 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t71 @t67 @t78 @t62 @t63 @t100 @t98 @t70 @t66))) % 0.19/0.47 (step @p206 :rule bool-double-not-elim :args (@t64)) % 0.19/0.47 (step @p207 :rule nary_cong :premises (@p97 @p206) :args ((or @t91 (not @t65)))) % 0.19/0.47 (step @p208 :rule cnf_or_neg :args (@t91 10)) % 0.19/0.47 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.19/0.47 (step @p210 :rule reordering :premises (@p209) :args ((or @t64 @t91))) % 0.19/0.47 (step @p211 :rule chain_m_resolution :premises (@p210 @p54) :args (@t64 @t92 @t93)) % 0.19/0.47 (step @p212 :rule bool-double-not-elim :args (@t68)) % 0.19/0.47 (step @p213 :rule nary_cong :premises (@p97 @p212) :args ((or @t91 (not @t69)))) % 0.19/0.47 (step @p214 :rule cnf_or_neg :args (@t91 9)) % 0.19/0.47 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.19/0.47 (step @p216 :rule reordering :premises (@p215) :args ((or @t68 @t91))) % 0.19/0.47 (step @p217 :rule chain_m_resolution :premises (@p216 @p54) :args (@t68 @t92 @t93)) % 0.19/0.47 (step @p218 :rule bool-double-not-elim :args (@t72)) % 0.19/0.47 (step @p219 :rule nary_cong :premises (@p97 @p218) :args ((or @t91 (not @t73)))) % 0.19/0.47 (step @p220 :rule cnf_or_neg :args (@t91 8)) % 0.19/0.47 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.19/0.47 (step @p222 :rule reordering :premises (@p221) :args ((or @t72 @t91))) % 0.19/0.47 (step @p223 :rule chain_m_resolution :premises (@p222 @p54) :args (@t72 @t92 @t93)) % 0.19/0.47 (step @p224 :rule bool-double-not-elim :args (@t79)) % 0.19/0.47 (step @p225 :rule nary_cong :premises (@p97 @p224) :args ((or @t91 (not @t80)))) % 0.19/0.47 (step @p226 :rule cnf_or_neg :args (@t91 5)) % 0.19/0.47 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.19/0.47 (step @p228 :rule reordering :premises (@p227) :args ((or @t79 @t91))) % 0.19/0.47 (step @p229 :rule chain_m_resolution :premises (@p228 @p54) :args (@t79 @t92 @t93)) % 0.19/0.47 (step @p230 :rule bool-double-not-elim :args (@t81)) % 0.19/0.47 (step @p231 :rule nary_cong :premises (@p97 @p230) :args ((or @t91 (not @t82)))) % 0.19/0.47 (step @p232 :rule cnf_or_neg :args (@t91 4)) % 0.19/0.47 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.19/0.47 (step @p234 :rule reordering :premises (@p233) :args ((or @t81 @t91))) % 0.19/0.47 (step @p235 :rule chain_m_resolution :premises (@p234 @p54) :args (@t81 @t92 @t93)) % 0.19/0.47 (step @p236 :rule cnf_or_pos :args (@t117)) % 0.19/0.47 (step @p237 :rule reordering :premises (@p236) :args ((or @t90 @t88 @t82 @t80 @t73 @t69 @t65 @t111 @t106 @t113 (not @t117)))) % 0.19/0.47 (step @p238 :rule chain_m_resolution :premises (@p237 @p126 @p102 @p235 @p229 @p223 @p217 @p211 @p143 @p119 @p205) :args (@t113 (@list false false false false false false false false false false) (@list @t89 @t87 @t81 @t79 @t72 @t68 @t64 @t110 @t105 @t117))) % 0.19/0.47 (step @p239 :rule cnf_equiv_pos2 :args (@t114)) % 0.19/0.47 (step @p240 :rule reordering :premises (@p239) :args ((or @t61 (not @t113) (not @t114)))) % 0.19/0.47 (step @p241 false :rule chain_m_resolution :premises (@p240 @p238 @p170 @p56) :args (false (@list false false true) (@list @t113 @t114 @t61))) % 0.19/0.47 ) % 0.19/0.47 % SZS output end Proof % 0.19/0.48 % cvc5 exiting %------------------------------------------------------------------------------