%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT006+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 : n009.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 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT006+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 % 0.08/0.37 % Computer : n009.cluster.edu % 0.08/0.37 % Model : x86_64 x86_64 % 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.37 % Memory : 8046.5625MB % 0.08/0.37 % OS : Linux 6.8.0-71-generic % 0.08/0.37 % CPULimit : 300 % 0.08/0.37 % WCLimit : 300 % 0.08/0.37 % DateTime : Mon Sep 7 11:42:22 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.52 % SZS status Theorem % 0.19/0.52 % SZS output start Proof % 0.19/0.52 ( % 0.19/0.52 (declare-sort $$unsorted 0) % 0.19/0.52 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.reliability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.accountability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.reproducibility (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (define @t1 () (@var "T" $$unsorted)) % 0.19/0.52 (define @t2 () (@var "Rp" $$unsorted)) % 0.19/0.52 (define @t3 () (@var "X" $$unsorted)) % 0.19/0.52 (define @t4 () (tptp.reproducibility @t3 @t2 @t1)) % 0.19/0.52 (define @t5 () (@list @t2)) % 0.19/0.52 (define @t6 () (exists @t5 @t4)) % 0.19/0.52 (define @t7 () (tptp.organization @t3 @t1)) % 0.19/0.52 (define @t8 () (=> @t7 @t6)) % 0.19/0.52 (define @t9 () (@list @t3 @t1)) % 0.19/0.52 (define @t10 () (forall @t9 @t8)) % 0.19/0.52 (define @t11 () (@var "A1" $$unsorted)) % 0.19/0.53 (define @t12 () (@var "A2" $$unsorted)) % 0.19/0.53 (define @t13 () (@var "R1" $$unsorted)) % 0.19/0.53 (define @t14 () (@var "R2" $$unsorted)) % 0.19/0.53 (define @t15 () (and (tptp.greater @t14 @t13) (tptp.greater @t12 @t11))) % 0.19/0.53 (define @t16 () (@var "Rp1" $$unsorted)) % 0.19/0.53 (define @t17 () (@var "Rp2" $$unsorted)) % 0.19/0.53 (define @t18 () (tptp.greater @t17 @t16)) % 0.19/0.53 (define @t19 () (= @t18 @t15)) % 0.19/0.53 (define @t20 () (@var "T2" $$unsorted)) % 0.19/0.53 (define @t21 () (@var "Y" $$unsorted)) % 0.19/0.53 (define @t22 () (tptp.reproducibility @t21 @t17 @t20)) % 0.19/0.53 (define @t23 () (@var "T1" $$unsorted)) % 0.19/0.53 (define @t24 () (tptp.reproducibility @t3 @t16 @t23)) % 0.19/0.53 (define @t25 () (tptp.accountability @t21 @t12 @t20)) % 0.19/0.53 (define @t26 () (tptp.accountability @t3 @t11 @t23)) % 0.19/0.53 (define @t27 () (tptp.reliability @t21 @t14 @t20)) % 0.19/0.53 (define @t28 () (tptp.reliability @t3 @t13 @t23)) % 0.19/0.53 (define @t29 () (tptp.organization @t21 @t20)) % 0.19/0.53 (define @t30 () (tptp.organization @t3 @t23)) % 0.19/0.53 (define @t31 () (and @t30 @t29 @t28 @t27 @t26 @t25 @t24 @t22)) % 0.19/0.53 (define @t32 () (@list @t3 @t21 @t23 @t20 @t13 @t14 @t11 @t12 @t16 @t17)) % 0.19/0.53 (define @t33 () (forall @t32 (=> @t31 @t19))) % 0.19/0.53 (define @t34 () (tptp.greater @t20 @t23)) % 0.19/0.53 (define @t35 () (tptp.reproducibility @t3 @t17 @t20)) % 0.19/0.53 (define @t36 () (tptp.reorganization_free @t3 @t23 @t20)) % 0.19/0.53 (define @t37 () (tptp.organization @t3 @t20)) % 0.19/0.53 (define @t38 () (and @t30 @t37 @t36 @t24 @t35 @t34)) % 0.19/0.53 (define @t39 () (forall (@list @t3 @t16 @t17 @t23 @t20) (=> @t38 @t18))) % 0.19/0.53 (define @t40 () (tptp.accountability @t3 @t12 @t20)) % 0.19/0.53 (define @t41 () (tptp.reliability @t3 @t14 @t20)) % 0.19/0.53 (define @t42 () (and @t30 @t37 @t36 @t28 @t41 @t26 @t40 @t34)) % 0.19/0.53 (define @t43 () (@list @t3 @t13 @t14 @t11 @t12 @t23 @t20)) % 0.19/0.53 (define @t44 () (forall @t43 (=> @t42 @t15))) % 0.19/0.53 (define @t45 () (not @t44)) % 0.19/0.53 (define @t46 () (not @t34)) % 0.19/0.53 (define @t47 () (not @t40)) % 0.19/0.53 (define @t48 () (not @t26)) % 0.19/0.53 (define @t49 () (not @t41)) % 0.19/0.53 (define @t50 () (not @t28)) % 0.19/0.53 (define @t51 () (not @t36)) % 0.19/0.53 (define @t52 () (not @t37)) % 0.19/0.53 (define @t53 () (not @t30)) % 0.19/0.53 (define @t54 () (or @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46 @t15)) % 0.19/0.53 (define @t55 () (or @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46)) % 0.19/0.53 (define @t56 () (forall @t43 @t54)) % 0.19/0.53 (define @t57 () (@quantifiers_skolemize @t56 3)) % 0.19/0.53 (define @t58 () (@quantifiers_skolemize @t56 4)) % 0.19/0.53 (define @t59 () (@quantifiers_skolemize @t56 1)) % 0.19/0.53 (define @t60 () (@quantifiers_skolemize @t56 2)) % 0.19/0.53 (define @t61 () (and (tptp.greater @t60 @t59) (tptp.greater @t58 @t57))) % 0.19/0.53 (define @t62 () (@quantifiers_skolemize @t56 5)) % 0.19/0.53 (define @t63 () (@quantifiers_skolemize @t56 6)) % 0.19/0.53 (define @t64 () (tptp.greater @t63 @t62)) % 0.19/0.53 (define @t65 () (not @t64)) % 0.19/0.53 (define @t66 () (@quantifiers_skolemize @t56 0)) % 0.19/0.53 (define @t67 () (tptp.accountability @t66 @t58 @t63)) % 0.19/0.53 (define @t68 () (not @t67)) % 0.19/0.53 (define @t69 () (tptp.accountability @t66 @t57 @t62)) % 0.19/0.53 (define @t70 () (not @t69)) % 0.19/0.53 (define @t71 () (tptp.reliability @t66 @t60 @t63)) % 0.19/0.53 (define @t72 () (not @t71)) % 0.19/0.53 (define @t73 () (tptp.reliability @t66 @t59 @t62)) % 0.19/0.53 (define @t74 () (not @t73)) % 0.19/0.53 (define @t75 () (tptp.reorganization_free @t66 @t62 @t63)) % 0.19/0.53 (define @t76 () (not @t75)) % 0.19/0.53 (define @t77 () (tptp.organization @t66 @t63)) % 0.19/0.53 (define @t78 () (not @t77)) % 0.19/0.53 (define @t79 () (tptp.organization @t66 @t62)) % 0.19/0.53 (define @t80 () (not @t79)) % 0.19/0.53 (define @t81 () (or @t80 @t78 @t76 @t74 @t72 @t70 @t68 @t65 @t61)) % 0.19/0.53 (define @t82 () (@list true)) % 0.19/0.53 (define @t83 () (@list @t81)) % 0.19/0.53 (define @t84 () (not @t22)) % 0.19/0.53 (define @t85 () (not @t24)) % 0.19/0.53 (define @t86 () (not @t25)) % 0.19/0.53 (define @t87 () (not @t27)) % 0.19/0.53 (define @t88 () (not @t29)) % 0.19/0.53 (define @t89 () (or @t53 @t88 @t50 @t87 @t48 @t86 @t85 @t84 @t19)) % 0.19/0.53 (define @t90 () (or @t53 @t88 @t50 @t87 @t48 @t86 @t85 @t84)) % 0.19/0.53 (define @t91 () (forall @t5 (not (tptp.reproducibility @t66 @t2 @t62)))) % 0.19/0.53 (define @t92 () (@quantifiers_skolemize @t91 0)) % 0.19/0.53 (define @t93 () (forall @t5 (not (tptp.reproducibility @t66 @t2 @t63)))) % 0.19/0.53 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.19/0.53 (define @t95 () (tptp.greater @t94 @t92)) % 0.19/0.53 (define @t96 () (tptp.reproducibility @t66 @t94 @t63)) % 0.19/0.53 (define @t97 () (not @t96)) % 0.19/0.53 (define @t98 () (tptp.reproducibility @t66 @t92 @t62)) % 0.19/0.53 (define @t99 () (not @t98)) % 0.19/0.53 (define @t100 () (or @t80 @t78 @t74 @t72 @t70 @t68 @t99 @t97 (= @t95 @t61))) % 0.19/0.53 (define @t101 () (forall @t32 @t89)) % 0.19/0.53 (define @t102 () (= @t61 @t95)) % 0.19/0.53 (define @t103 () (or @t80 @t78 @t74 @t72 @t70 @t68 @t99 @t97 @t102)) % 0.19/0.53 (define @t104 () (not (forall @t5 (not @t4)))) % 0.19/0.53 (define @t105 () (not @t93)) % 0.19/0.53 (define @t106 () (or @t78 @t105)) % 0.19/0.53 (define @t107 () (@list false false)) % 0.19/0.53 (define @t108 () (not @t97)) % 0.19/0.53 (define @t109 () (not @t91)) % 0.19/0.53 (define @t110 () (or @t80 @t109)) % 0.19/0.53 (define @t111 () (not @t99)) % 0.19/0.53 (define @t112 () (not @t35)) % 0.19/0.53 (define @t113 () (or @t53 @t52 @t51 @t85 @t112 @t46)) % 0.19/0.53 (define @t114 () (or @t80 @t78 @t76 @t99 @t97 @t65 @t95)) % 0.19/0.53 (assume @p1 @t10) % 0.19/0.53 (assume @p2 @t33) % 0.19/0.53 (assume @p3 @t39) % 0.19/0.53 (assume @p4 @t45) % 0.19/0.53 (assume @p5 true) % 0.19/0.53 (step @p6 :rule aci_norm :args ((= (or @t55 @t15) @t54))) % 0.19/0.53 (step @p7 :rule refl :args (@t15)) % 0.19/0.53 (step @p8 :rule aci_norm :args ((= (or @t53 (or @t52 (or @t51 (or @t50 (or @t49 (or @t48 (or @t47 @t46))))))) @t55))) % 0.19/0.53 (step @p9 :rule bool-and-de-morgan :args (@t40 @t34 true)) % 0.19/0.53 (step @p10 :rule refl :args (@t48)) % 0.19/0.53 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t48 (not (and @t40 @t34))))) % 0.19/0.53 (step @p12 :rule bool-and-de-morgan :args (@t26 @t40 (and @t34))) % 0.19/0.53 (step @p13 :rule trans :premises (@p12 @p11)) % 0.19/0.53 (step @p14 :rule refl :args (@t49)) % 0.19/0.53 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t49 (not (and @t26 @t40 @t34))))) % 0.19/0.53 (step @p16 :rule bool-and-de-morgan :args (@t41 @t26 (and @t40 @t34))) % 0.19/0.53 (step @p17 :rule trans :premises (@p16 @p15)) % 0.19/0.53 (step @p18 :rule refl :args (@t50)) % 0.19/0.53 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t50 (not (and @t41 @t26 @t40 @t34))))) % 0.19/0.53 (step @p20 :rule bool-and-de-morgan :args (@t28 @t41 (and @t26 @t40 @t34))) % 0.19/0.53 (step @p21 :rule trans :premises (@p20 @p19)) % 0.19/0.53 (step @p22 :rule refl :args (@t51)) % 0.19/0.53 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t51 (not (and @t28 @t41 @t26 @t40 @t34))))) % 0.19/0.53 (step @p24 :rule bool-and-de-morgan :args (@t36 @t28 (and @t41 @t26 @t40 @t34))) % 0.19/0.53 (step @p25 :rule trans :premises (@p24 @p23)) % 0.19/0.53 (step @p26 :rule refl :args (@t52)) % 0.19/0.53 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t52 (not (and @t36 @t28 @t41 @t26 @t40 @t34))))) % 0.19/0.53 (step @p28 :rule bool-and-de-morgan :args (@t37 @t36 (and @t28 @t41 @t26 @t40 @t34))) % 0.19/0.53 (step @p29 :rule trans :premises (@p28 @p27)) % 0.19/0.53 (step @p30 :rule refl :args (@t53)) % 0.19/0.53 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t53 (not (and @t37 @t36 @t28 @t41 @t26 @t40 @t34))))) % 0.19/0.53 (step @p32 :rule bool-and-de-morgan :args (@t30 @t37 (and @t36 @t28 @t41 @t26 @t40 @t34))) % 0.19/0.53 (step @p33 :rule trans :premises (@p32 @p31)) % 0.19/0.53 (step @p34 :rule trans :premises (@p33 @p8)) % 0.19/0.53 (step @p35 :rule nary_cong :premises (@p34 @p7) :args ((or (not @t42) @t15))) % 0.19/0.53 (step @p36 :rule trans :premises (@p35 @p6)) % 0.19/0.53 (step @p37 :rule bool-impl-elim :args (@t42 @t15)) % 0.19/0.53 (step @p38 :rule trans :premises (@p37 @p36)) % 0.19/0.53 (step @p39 :rule cong :premises (@p38) :args (@t44)) % 0.19/0.53 (step @p40 :rule cong :premises (@p39) :args (@t45)) % 0.19/0.53 (step @p41 :rule eq_resolve :premises (@p4 @p40)) % 0.19/0.53 (step @p42 :rule skolemize :premises (@p41)) % 0.19/0.53 (step @p43 :rule cnf_or_neg :args (@t81 8)) % 0.19/0.53 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t61) @t82 @t83)) % 0.19/0.53 (step @p45 :rule aci_norm :args ((= (or @t90 @t19) @t89))) % 0.19/0.53 (step @p46 :rule refl :args (@t19)) % 0.19/0.53 (step @p47 :rule aci_norm :args ((= (or @t53 (or @t88 (or @t50 (or @t87 (or @t48 (or @t86 (or @t85 @t84))))))) @t90))) % 0.19/0.53 (step @p48 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.19/0.53 (step @p49 :rule refl :args (@t86)) % 0.19/0.53 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t86 (not (and @t24 @t22))))) % 0.19/0.53 (step @p51 :rule bool-and-de-morgan :args (@t25 @t24 (and @t22))) % 0.19/0.53 (step @p52 :rule trans :premises (@p51 @p50)) % 0.19/0.53 (step @p53 :rule nary_cong :premises (@p10 @p52) :args ((or @t48 (not (and @t25 @t24 @t22))))) % 0.19/0.53 (step @p54 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t22))) % 0.19/0.53 (step @p55 :rule trans :premises (@p54 @p53)) % 0.19/0.53 (step @p56 :rule refl :args (@t87)) % 0.19/0.53 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t87 (not (and @t26 @t25 @t24 @t22))))) % 0.19/0.53 (step @p58 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24 @t22))) % 0.19/0.53 (step @p59 :rule trans :premises (@p58 @p57)) % 0.19/0.53 (step @p60 :rule nary_cong :premises (@p18 @p59) :args ((or @t50 (not (and @t27 @t26 @t25 @t24 @t22))))) % 0.19/0.53 (step @p61 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t24 @t22))) % 0.19/0.53 (step @p62 :rule trans :premises (@p61 @p60)) % 0.19/0.53 (step @p63 :rule refl :args (@t88)) % 0.19/0.53 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t88 (not (and @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.19/0.53 (step @p65 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26 @t25 @t24 @t22))) % 0.19/0.53 (step @p66 :rule trans :premises (@p65 @p64)) % 0.19/0.53 (step @p67 :rule nary_cong :premises (@p30 @p66) :args ((or @t53 (not (and @t29 @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.19/0.53 (step @p68 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t26 @t25 @t24 @t22))) % 0.19/0.53 (step @p69 :rule trans :premises (@p68 @p67)) % 0.19/0.53 (step @p70 :rule trans :premises (@p69 @p47)) % 0.19/0.53 (step @p71 :rule nary_cong :premises (@p70 @p46) :args ((or (not @t31) @t19))) % 0.19/0.53 (step @p72 :rule trans :premises (@p71 @p45)) % 0.19/0.53 (step @p73 :rule bool-impl-elim :args (@t31 @t19)) % 0.19/0.53 (step @p74 :rule trans :premises (@p73 @p72)) % 0.19/0.53 (step @p75 :rule cong :premises (@p74) :args (@t33)) % 0.19/0.53 (step @p76 :rule eq_resolve :premises (@p2 @p75)) % 0.19/0.53 (step @p77 :rule eq-symm :args (@t95 @t61)) % 0.19/0.53 (step @p78 :rule refl :args (@t97)) % 0.19/0.53 (step @p79 :rule refl :args (@t99)) % 0.19/0.53 (step @p80 :rule refl :args (@t68)) % 0.19/0.53 (step @p81 :rule refl :args (@t70)) % 0.19/0.53 (step @p82 :rule refl :args (@t72)) % 0.19/0.53 (step @p83 :rule refl :args (@t74)) % 0.19/0.53 (step @p84 :rule refl :args (@t78)) % 0.19/0.53 (step @p85 :rule refl :args (@t80)) % 0.19/0.53 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77) :args (@t100)) % 0.19/0.53 (step @p87 :rule refl :args (@t101)) % 0.19/0.53 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t101 @t100))) % 0.19/0.53 (assume-push @p223 @t101) % 0.19/0.53 (step @p90 :rule instantiate :premises (@p76) :args ((@list @t66 @t66 @t62 @t63 @t59 @t60 @t57 @t58 @t92 @t94))) % 0.19/0.53 (step-pop @p224 :rule scope :premises (@p90)) % 0.19/0.53 (step @p91 :rule process_scope :premises (@p224) :args (@t100)) % 0.19/0.53 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.19/0.53 (step @p94 :rule implies_elim :premises (@p93)) % 0.19/0.53 (step @p95 :rule chain_m_resolution :premises (@p94 @p76) :args (@t103 (@list false) (@list @t101))) % 0.19/0.53 (step @p96 :rule bool-impl-elim :args (@t7 @t104)) % 0.19/0.53 (step @p97 :rule cong :premises (@p96) :args ((forall @t9 (=> @t7 @t104)))) % 0.19/0.53 (step @p98 :rule exists-elim :args ((= @t6 @t104))) % 0.19/0.53 (step @p99 :rule refl :args (@t7)) % 0.19/0.53 (step @p100 :rule cong :premises (@p99 @p98) :args (@t8)) % 0.19/0.53 (step @p101 :rule cong :premises (@p100) :args (@t10)) % 0.19/0.53 (step @p102 :rule trans :premises (@p101 @p97)) % 0.19/0.53 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.19/0.53 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t66 @t63))) % 0.19/0.53 (step @p105 :rule bool-double-not-elim :args (@t77)) % 0.19/0.53 (step @p106 :rule refl :args (@t81)) % 0.19/0.53 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t81 (not @t78)))) % 0.19/0.53 (step @p108 :rule cnf_or_neg :args (@t81 1)) % 0.19/0.53 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.19/0.53 (step @p110 :rule reordering :premises (@p109) :args ((or @t77 @t81))) % 0.19/0.53 (step @p111 :rule chain_m_resolution :premises (@p110 @p42) :args (@t77 @t82 @t83)) % 0.19/0.53 (step @p112 :rule cnf_or_pos :args (@t106)) % 0.19/0.53 (step @p113 :rule reordering :premises (@p112) :args ((or @t78 @t105 (not @t106)))) % 0.19/0.53 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p104) :args (@t105 @t107 (@list @t77 @t106))) % 0.19/0.53 (step @p115 :rule refl :args (@t96)) % 0.19/0.53 (step @p116 :rule bool-double-not-elim :args (@t93)) % 0.19/0.53 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t105) @t96))) % 0.19/0.53 (step @p118 :rule bool-double-not-elim :args (@t96)) % 0.19/0.53 (step @p119 :rule refl :args (@t105)) % 0.19/0.53 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t105 @t108))) % 0.19/0.53 (assume-push @p225 @t105) % 0.19/0.53 (step @p122 :rule skolemize :premises (@p114)) % 0.19/0.53 (step-pop @p226 :rule scope :premises (@p122)) % 0.19/0.53 (step @p123 :rule process_scope :premises (@p226) :args (@t108)) % 0.19/0.53 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.19/0.53 (step @p126 :rule implies_elim :premises (@p125)) % 0.19/0.53 (step @p127 :rule eq_resolve :premises (@p126 @p117)) % 0.19/0.53 (step @p128 :rule chain_m_resolution :premises (@p127 @p114) :args (@t96 @t82 (@list @t93))) % 0.19/0.53 (step @p129 :rule instantiate :premises (@p103) :args ((@list @t66 @t62))) % 0.19/0.53 (step @p130 :rule bool-double-not-elim :args (@t79)) % 0.19/0.53 (step @p131 :rule nary_cong :premises (@p106 @p130) :args ((or @t81 (not @t80)))) % 0.19/0.53 (step @p132 :rule cnf_or_neg :args (@t81 0)) % 0.19/0.53 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.19/0.53 (step @p134 :rule reordering :premises (@p133) :args ((or @t79 @t81))) % 0.19/0.53 (step @p135 :rule chain_m_resolution :premises (@p134 @p42) :args (@t79 @t82 @t83)) % 0.19/0.53 (step @p136 :rule cnf_or_pos :args (@t110)) % 0.19/0.53 (step @p137 :rule reordering :premises (@p136) :args ((or @t80 @t109 (not @t110)))) % 0.19/0.53 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p129) :args (@t109 @t107 (@list @t79 @t110))) % 0.19/0.53 (step @p139 :rule refl :args (@t98)) % 0.19/0.53 (step @p140 :rule bool-double-not-elim :args (@t91)) % 0.19/0.53 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or (not @t109) @t98))) % 0.19/0.53 (step @p142 :rule bool-double-not-elim :args (@t98)) % 0.19/0.53 (step @p143 :rule refl :args (@t109)) % 0.19/0.53 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t109 @t111))) % 0.19/0.53 (assume-push @p227 @t109) % 0.19/0.53 (step @p146 :rule skolemize :premises (@p138)) % 0.19/0.53 (step-pop @p228 :rule scope :premises (@p146)) % 0.19/0.53 (step @p147 :rule process_scope :premises (@p228) :args (@t111)) % 0.19/0.53 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 0.19/0.53 (step @p150 :rule implies_elim :premises (@p149)) % 0.19/0.53 (step @p151 :rule eq_resolve :premises (@p150 @p141)) % 0.19/0.53 (step @p152 :rule chain_m_resolution :premises (@p151 @p138) :args (@t98 @t82 (@list @t91))) % 0.19/0.53 (step @p153 :rule bool-double-not-elim :args (@t67)) % 0.19/0.53 (step @p154 :rule nary_cong :premises (@p106 @p153) :args ((or @t81 (not @t68)))) % 0.19/0.53 (step @p155 :rule cnf_or_neg :args (@t81 6)) % 0.19/0.53 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.19/0.53 (step @p157 :rule reordering :premises (@p156) :args ((or @t67 @t81))) % 0.19/0.53 (step @p158 :rule chain_m_resolution :premises (@p157 @p42) :args (@t67 @t82 @t83)) % 0.19/0.53 (step @p159 :rule bool-double-not-elim :args (@t69)) % 0.19/0.53 (step @p160 :rule nary_cong :premises (@p106 @p159) :args ((or @t81 (not @t70)))) % 0.19/0.53 (step @p161 :rule cnf_or_neg :args (@t81 5)) % 0.19/0.53 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.19/0.53 (step @p163 :rule reordering :premises (@p162) :args ((or @t69 @t81))) % 0.19/0.53 (step @p164 :rule chain_m_resolution :premises (@p163 @p42) :args (@t69 @t82 @t83)) % 0.19/0.53 (step @p165 :rule bool-double-not-elim :args (@t71)) % 0.19/0.53 (step @p166 :rule nary_cong :premises (@p106 @p165) :args ((or @t81 (not @t72)))) % 0.19/0.53 (step @p167 :rule cnf_or_neg :args (@t81 4)) % 0.19/0.53 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.19/0.53 (step @p169 :rule reordering :premises (@p168) :args ((or @t71 @t81))) % 0.19/0.53 (step @p170 :rule chain_m_resolution :premises (@p169 @p42) :args (@t71 @t82 @t83)) % 0.19/0.53 (step @p171 :rule bool-double-not-elim :args (@t73)) % 0.19/0.53 (step @p172 :rule nary_cong :premises (@p106 @p171) :args ((or @t81 (not @t74)))) % 0.19/0.53 (step @p173 :rule cnf_or_neg :args (@t81 3)) % 0.19/0.53 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.19/0.53 (step @p175 :rule reordering :premises (@p174) :args ((or @t73 @t81))) % 0.19/0.53 (step @p176 :rule chain_m_resolution :premises (@p175 @p42) :args (@t73 @t82 @t83)) % 0.19/0.53 (step @p177 :rule cnf_or_pos :args (@t103)) % 0.19/0.53 (step @p178 :rule reordering :premises (@p177) :args ((or @t80 @t78 @t74 @t72 @t70 @t68 @t99 @t97 @t102 (not @t103)))) % 0.19/0.53 (step @p179 :rule chain_m_resolution :premises (@p178 @p135 @p111 @p176 @p170 @p164 @p158 @p152 @p128 @p95) :args (@t102 (@list false false false false false false false false false) (@list @t79 @t77 @t73 @t71 @t69 @t67 @t98 @t96 @t103))) % 0.19/0.53 (step @p180 :rule aci_norm :args ((= (or @t113 @t18) (or @t53 @t52 @t51 @t85 @t112 @t46 @t18)))) % 0.19/0.53 (step @p181 :rule refl :args (@t18)) % 0.19/0.53 (step @p182 :rule aci_norm :args ((= (or @t53 (or @t52 (or @t51 (or @t85 (or @t112 @t46))))) @t113))) % 0.19/0.53 (step @p183 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.19/0.53 (step @p184 :rule refl :args (@t85)) % 0.19/0.53 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t85 (not (and @t35 @t34))))) % 0.19/0.53 (step @p186 :rule bool-and-de-morgan :args (@t24 @t35 (and @t34))) % 0.19/0.53 (step @p187 :rule trans :premises (@p186 @p185)) % 0.19/0.53 (step @p188 :rule nary_cong :premises (@p22 @p187) :args ((or @t51 (not (and @t24 @t35 @t34))))) % 0.19/0.53 (step @p189 :rule bool-and-de-morgan :args (@t36 @t24 (and @t35 @t34))) % 0.19/0.53 (step @p190 :rule trans :premises (@p189 @p188)) % 0.19/0.53 (step @p191 :rule nary_cong :premises (@p26 @p190) :args ((or @t52 (not (and @t36 @t24 @t35 @t34))))) % 0.19/0.53 (step @p192 :rule bool-and-de-morgan :args (@t37 @t36 (and @t24 @t35 @t34))) % 0.19/0.53 (step @p193 :rule trans :premises (@p192 @p191)) % 0.19/0.53 (step @p194 :rule nary_cong :premises (@p30 @p193) :args ((or @t53 (not (and @t37 @t36 @t24 @t35 @t34))))) % 0.19/0.53 (step @p195 :rule bool-and-de-morgan :args (@t30 @t37 (and @t36 @t24 @t35 @t34))) % 0.19/0.53 (step @p196 :rule trans :premises (@p195 @p194)) % 0.19/0.53 (step @p197 :rule trans :premises (@p196 @p182)) % 0.19/0.53 (step @p198 :rule nary_cong :premises (@p197 @p181) :args ((or (not @t38) @t18))) % 0.19/0.53 (step @p199 :rule trans :premises (@p198 @p180)) % 0.19/0.53 (step @p200 :rule bool-impl-elim :args (@t38 @t18)) % 0.19/0.53 (step @p201 :rule trans :premises (@p200 @p199)) % 0.19/0.53 (step @p202 :rule cong :premises (@p201) :args (@t39)) % 0.19/0.53 (step @p203 :rule eq_resolve :premises (@p3 @p202)) % 0.19/0.53 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t66 @t92 @t94 @t62 @t63))) % 0.19/0.53 (step @p205 :rule bool-double-not-elim :args (@t64)) % 0.19/0.53 (step @p206 :rule nary_cong :premises (@p106 @p205) :args ((or @t81 (not @t65)))) % 0.19/0.53 (step @p207 :rule cnf_or_neg :args (@t81 7)) % 0.19/0.53 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 0.19/0.53 (step @p209 :rule reordering :premises (@p208) :args ((or @t64 @t81))) % 0.19/0.53 (step @p210 :rule chain_m_resolution :premises (@p209 @p42) :args (@t64 @t82 @t83)) % 0.19/0.53 (step @p211 :rule bool-double-not-elim :args (@t75)) % 0.19/0.53 (step @p212 :rule nary_cong :premises (@p106 @p211) :args ((or @t81 (not @t76)))) % 0.19/0.53 (step @p213 :rule cnf_or_neg :args (@t81 2)) % 0.19/0.53 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.19/0.53 (step @p215 :rule reordering :premises (@p214) :args ((or @t75 @t81))) % 0.19/0.53 (step @p216 :rule chain_m_resolution :premises (@p215 @p42) :args (@t75 @t82 @t83)) % 0.19/0.53 (step @p217 :rule cnf_or_pos :args (@t114)) % 0.19/0.53 (step @p218 :rule reordering :premises (@p217) :args ((or @t80 @t78 @t76 @t65 @t99 @t97 @t95 (not @t114)))) % 0.19/0.53 (step @p219 :rule chain_m_resolution :premises (@p218 @p135 @p111 @p216 @p210 @p152 @p128 @p204) :args (@t95 (@list false false false false false false false) (@list @t79 @t77 @t75 @t64 @t98 @t96 @t114))) % 0.19/0.53 (step @p220 :rule cnf_equiv_pos2 :args (@t102)) % 0.19/0.53 (step @p221 :rule reordering :premises (@p220) :args ((or @t61 (not @t95) (not @t102)))) % 0.19/0.53 (step @p222 false :rule chain_m_resolution :premises (@p221 @p219 @p179 @p44) :args (false (@list false false true) (@list @t95 @t102 @t61))) % 0.19/0.53 ) % 0.19/0.53 % SZS output end Proof % 0.19/0.53 % cvc5 exiting %------------------------------------------------------------------------------