%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT002+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 : n006.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 06:04:40 AM UTC 2026 % Result : Theorem 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT002+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n006.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 % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 11:34:01 UTC 2026 % 0.14/0.37 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.53 % SZS status Theorem % 0.19/0.53 % SZS output start Proof % 0.19/0.53 ( % 0.19/0.53 (declare-sort $$unsorted 0) % 0.19/0.53 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.reproducibility (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.19/0.53 (define @t2 () (@var "Rp" $$unsorted)) % 0.19/0.53 (define @t3 () (@var "X" $$unsorted)) % 0.19/0.53 (define @t4 () (tptp.reproducibility @t3 @t2 @t1)) % 0.19/0.53 (define @t5 () (@list @t2)) % 0.19/0.53 (define @t6 () (exists @t5 @t4)) % 0.19/0.53 (define @t7 () (tptp.organization @t3 @t1)) % 0.19/0.53 (define @t8 () (=> @t7 @t6)) % 0.19/0.53 (define @t9 () (@list @t3 @t1)) % 0.19/0.53 (define @t10 () (forall @t9 @t8)) % 0.19/0.53 (define @t11 () (@var "T2" $$unsorted)) % 0.19/0.53 (define @t12 () (@var "T1" $$unsorted)) % 0.19/0.53 (define @t13 () (tptp.reorganization_free @t3 @t12 @t12)) % 0.19/0.53 (define @t14 () (and @t13 (tptp.reorganization_free @t3 @t11 @t11))) % 0.19/0.53 (define @t15 () (tptp.reorganization_free @t3 @t12 @t11)) % 0.19/0.53 (define @t16 () (forall (@list @t3 @t12 @t11) (=> @t15 @t14))) % 0.19/0.53 (define @t17 () (@var "I1" $$unsorted)) % 0.19/0.53 (define @t18 () (@var "I2" $$unsorted)) % 0.19/0.53 (define @t19 () (tptp.greater @t18 @t17)) % 0.19/0.53 (define @t20 () (@var "Rp1" $$unsorted)) % 0.19/0.53 (define @t21 () (@var "Rp2" $$unsorted)) % 0.19/0.53 (define @t22 () (tptp.greater @t21 @t20)) % 0.19/0.53 (define @t23 () (= @t22 @t19)) % 0.19/0.53 (define @t24 () (@var "Y" $$unsorted)) % 0.19/0.53 (define @t25 () (tptp.inertia @t24 @t18 @t11)) % 0.19/0.53 (define @t26 () (tptp.inertia @t3 @t17 @t12)) % 0.19/0.53 (define @t27 () (tptp.reproducibility @t24 @t21 @t11)) % 0.19/0.53 (define @t28 () (tptp.reproducibility @t3 @t20 @t12)) % 0.19/0.53 (define @t29 () (tptp.reorganization_free @t24 @t11 @t11)) % 0.19/0.53 (define @t30 () (tptp.organization @t24 @t11)) % 0.19/0.53 (define @t31 () (tptp.organization @t3 @t12)) % 0.19/0.53 (define @t32 () (and @t31 @t30 @t13 @t29 @t28 @t27 @t26 @t25)) % 0.19/0.53 (define @t33 () (@list @t3 @t24 @t12 @t11 @t20 @t21 @t17 @t18)) % 0.19/0.53 (define @t34 () (forall @t33 (=> @t32 @t23))) % 0.19/0.53 (define @t35 () (tptp.greater @t11 @t12)) % 0.19/0.53 (define @t36 () (tptp.reproducibility @t3 @t21 @t11)) % 0.19/0.53 (define @t37 () (tptp.organization @t3 @t11)) % 0.19/0.53 (define @t38 () (and @t31 @t37 @t15 @t28 @t36 @t35)) % 0.19/0.53 (define @t39 () (forall (@list @t3 @t20 @t21 @t12 @t11) (=> @t38 @t22))) % 0.19/0.53 (define @t40 () (tptp.inertia @t3 @t18 @t11)) % 0.19/0.53 (define @t41 () (and @t31 @t37 @t15 @t26 @t40 @t35)) % 0.19/0.53 (define @t42 () (@list @t3 @t17 @t18 @t12 @t11)) % 0.19/0.53 (define @t43 () (forall @t42 (=> @t41 @t19))) % 0.19/0.53 (define @t44 () (not @t43)) % 0.19/0.53 (define @t45 () (not @t35)) % 0.19/0.53 (define @t46 () (not @t40)) % 0.19/0.53 (define @t47 () (not @t26)) % 0.19/0.53 (define @t48 () (not @t15)) % 0.19/0.53 (define @t49 () (not @t37)) % 0.19/0.53 (define @t50 () (not @t31)) % 0.19/0.53 (define @t51 () (or @t50 @t49 @t48 @t47 @t46 @t45 @t19)) % 0.19/0.53 (define @t52 () (or @t50 @t49 @t48 @t47 @t46 @t45)) % 0.19/0.53 (define @t53 () (forall @t42 @t51)) % 0.19/0.53 (define @t54 () (@quantifiers_skolemize @t53 1)) % 0.19/0.53 (define @t55 () (@quantifiers_skolemize @t53 2)) % 0.19/0.53 (define @t56 () (tptp.greater @t55 @t54)) % 0.19/0.53 (define @t57 () (@quantifiers_skolemize @t53 3)) % 0.19/0.53 (define @t58 () (@quantifiers_skolemize @t53 4)) % 0.19/0.53 (define @t59 () (tptp.greater @t58 @t57)) % 0.19/0.53 (define @t60 () (not @t59)) % 0.19/0.53 (define @t61 () (@quantifiers_skolemize @t53 0)) % 0.19/0.53 (define @t62 () (tptp.inertia @t61 @t55 @t58)) % 0.19/0.53 (define @t63 () (not @t62)) % 0.19/0.53 (define @t64 () (tptp.inertia @t61 @t54 @t57)) % 0.19/0.53 (define @t65 () (not @t64)) % 0.19/0.53 (define @t66 () (tptp.reorganization_free @t61 @t57 @t58)) % 0.19/0.53 (define @t67 () (not @t66)) % 0.19/0.53 (define @t68 () (tptp.organization @t61 @t58)) % 0.19/0.53 (define @t69 () (not @t68)) % 0.19/0.53 (define @t70 () (tptp.organization @t61 @t57)) % 0.19/0.53 (define @t71 () (not @t70)) % 0.19/0.53 (define @t72 () (or @t71 @t69 @t67 @t65 @t63 @t60 @t56)) % 0.19/0.53 (define @t73 () (@list true)) % 0.19/0.53 (define @t74 () (@list @t72)) % 0.19/0.53 (define @t75 () (not @t25)) % 0.19/0.53 (define @t76 () (not @t27)) % 0.19/0.53 (define @t77 () (not @t28)) % 0.19/0.53 (define @t78 () (not @t29)) % 0.19/0.53 (define @t79 () (not @t13)) % 0.19/0.53 (define @t80 () (not @t30)) % 0.19/0.53 (define @t81 () (or @t50 @t80 @t79 @t78 @t77 @t76 @t47 @t75 @t23)) % 0.19/0.53 (define @t82 () (or @t50 @t80 @t79 @t78 @t77 @t76 @t47 @t75)) % 0.19/0.53 (define @t83 () (forall @t5 (not (tptp.reproducibility @t61 @t2 @t57)))) % 0.19/0.53 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.19/0.53 (define @t85 () (forall @t5 (not (tptp.reproducibility @t61 @t2 @t58)))) % 0.19/0.53 (define @t86 () (@quantifiers_skolemize @t85 0)) % 0.19/0.53 (define @t87 () (tptp.greater @t86 @t84)) % 0.19/0.53 (define @t88 () (tptp.reproducibility @t61 @t86 @t58)) % 0.19/0.53 (define @t89 () (not @t88)) % 0.19/0.53 (define @t90 () (tptp.reproducibility @t61 @t84 @t57)) % 0.19/0.53 (define @t91 () (not @t90)) % 0.19/0.53 (define @t92 () (tptp.reorganization_free @t61 @t58 @t58)) % 0.19/0.53 (define @t93 () (not @t92)) % 0.19/0.53 (define @t94 () (tptp.reorganization_free @t61 @t57 @t57)) % 0.19/0.53 (define @t95 () (not @t94)) % 0.19/0.53 (define @t96 () (or @t71 @t69 @t95 @t93 @t91 @t89 @t65 @t63 (= @t87 @t56))) % 0.19/0.53 (define @t97 () (forall @t33 @t81)) % 0.19/0.53 (define @t98 () (= @t56 @t87)) % 0.19/0.53 (define @t99 () (or @t71 @t69 @t95 @t93 @t91 @t89 @t65 @t63 @t98)) % 0.19/0.53 (define @t100 () (@list false)) % 0.19/0.53 (define @t101 () (not (forall @t5 (not @t4)))) % 0.19/0.53 (define @t102 () (not @t85)) % 0.19/0.53 (define @t103 () (or @t69 @t102)) % 0.19/0.53 (define @t104 () (@list false false)) % 0.19/0.53 (define @t105 () (not @t89)) % 0.19/0.53 (define @t106 () (not @t83)) % 0.19/0.53 (define @t107 () (or @t71 @t106)) % 0.19/0.53 (define @t108 () (not @t91)) % 0.19/0.53 (define @t109 () (and @t94 @t92)) % 0.19/0.53 (define @t110 () (or @t67 @t109)) % 0.19/0.53 (define @t111 () (not @t109)) % 0.19/0.53 (define @t112 () (@list @t109)) % 0.19/0.53 (define @t113 () (not @t36)) % 0.19/0.53 (define @t114 () (or @t50 @t49 @t48 @t77 @t113 @t45)) % 0.19/0.53 (define @t115 () (or @t71 @t69 @t67 @t91 @t89 @t60 @t87)) % 0.19/0.53 (assume @p1 @t10) % 0.19/0.53 (assume @p2 @t16) % 0.19/0.53 (assume @p3 @t34) % 0.19/0.53 (assume @p4 @t39) % 0.19/0.53 (assume @p5 @t44) % 0.19/0.53 (assume @p6 true) % 0.19/0.53 (step @p7 :rule aci_norm :args ((= (or @t52 @t19) @t51))) % 0.19/0.53 (step @p8 :rule refl :args (@t19)) % 0.19/0.53 (step @p9 :rule aci_norm :args ((= (or @t50 (or @t49 (or @t48 (or @t47 (or @t46 @t45))))) @t52))) % 0.19/0.53 (step @p10 :rule bool-and-de-morgan :args (@t40 @t35 true)) % 0.19/0.53 (step @p11 :rule refl :args (@t47)) % 0.19/0.53 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t47 (not (and @t40 @t35))))) % 0.19/0.53 (step @p13 :rule bool-and-de-morgan :args (@t26 @t40 (and @t35))) % 0.19/0.53 (step @p14 :rule trans :premises (@p13 @p12)) % 0.19/0.53 (step @p15 :rule refl :args (@t48)) % 0.19/0.53 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t48 (not (and @t26 @t40 @t35))))) % 0.19/0.53 (step @p17 :rule bool-and-de-morgan :args (@t15 @t26 (and @t40 @t35))) % 0.19/0.53 (step @p18 :rule trans :premises (@p17 @p16)) % 0.19/0.53 (step @p19 :rule refl :args (@t49)) % 0.19/0.53 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t49 (not (and @t15 @t26 @t40 @t35))))) % 0.19/0.53 (step @p21 :rule bool-and-de-morgan :args (@t37 @t15 (and @t26 @t40 @t35))) % 0.19/0.53 (step @p22 :rule trans :premises (@p21 @p20)) % 0.19/0.53 (step @p23 :rule refl :args (@t50)) % 0.19/0.53 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t50 (not (and @t37 @t15 @t26 @t40 @t35))))) % 0.19/0.53 (step @p25 :rule bool-and-de-morgan :args (@t31 @t37 (and @t15 @t26 @t40 @t35))) % 0.19/0.53 (step @p26 :rule trans :premises (@p25 @p24)) % 0.19/0.53 (step @p27 :rule trans :premises (@p26 @p9)) % 0.19/0.53 (step @p28 :rule nary_cong :premises (@p27 @p8) :args ((or (not @t41) @t19))) % 0.19/0.53 (step @p29 :rule trans :premises (@p28 @p7)) % 0.19/0.53 (step @p30 :rule bool-impl-elim :args (@t41 @t19)) % 0.19/0.53 (step @p31 :rule trans :premises (@p30 @p29)) % 0.19/0.53 (step @p32 :rule cong :premises (@p31) :args (@t43)) % 0.19/0.53 (step @p33 :rule cong :premises (@p32) :args (@t44)) % 0.19/0.53 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 0.19/0.53 (step @p35 :rule skolemize :premises (@p34)) % 0.19/0.53 (step @p36 :rule cnf_or_neg :args (@t72 6)) % 0.19/0.53 (step @p37 :rule chain_m_resolution :premises (@p36 @p35) :args ((not @t56) @t73 @t74)) % 0.19/0.53 (step @p38 :rule aci_norm :args ((= (or @t82 @t23) @t81))) % 0.19/0.53 (step @p39 :rule refl :args (@t23)) % 0.19/0.53 (step @p40 :rule aci_norm :args ((= (or @t50 (or @t80 (or @t79 (or @t78 (or @t77 (or @t76 (or @t47 @t75))))))) @t82))) % 0.19/0.53 (step @p41 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.19/0.53 (step @p42 :rule refl :args (@t76)) % 0.19/0.53 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t76 (not (and @t26 @t25))))) % 0.19/0.53 (step @p44 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25))) % 0.19/0.53 (step @p45 :rule trans :premises (@p44 @p43)) % 0.19/0.53 (step @p46 :rule refl :args (@t77)) % 0.19/0.53 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t77 (not (and @t27 @t26 @t25))))) % 0.19/0.53 (step @p48 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25))) % 0.19/0.53 (step @p49 :rule trans :premises (@p48 @p47)) % 0.19/0.53 (step @p50 :rule refl :args (@t78)) % 0.19/0.53 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t78 (not (and @t28 @t27 @t26 @t25))))) % 0.19/0.53 (step @p52 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26 @t25))) % 0.19/0.53 (step @p53 :rule trans :premises (@p52 @p51)) % 0.19/0.53 (step @p54 :rule refl :args (@t79)) % 0.19/0.53 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t79 (not (and @t29 @t28 @t27 @t26 @t25))))) % 0.19/0.53 (step @p56 :rule bool-and-de-morgan :args (@t13 @t29 (and @t28 @t27 @t26 @t25))) % 0.19/0.53 (step @p57 :rule trans :premises (@p56 @p55)) % 0.19/0.53 (step @p58 :rule refl :args (@t80)) % 0.19/0.53 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t80 (not (and @t13 @t29 @t28 @t27 @t26 @t25))))) % 0.19/0.53 (step @p60 :rule bool-and-de-morgan :args (@t30 @t13 (and @t29 @t28 @t27 @t26 @t25))) % 0.19/0.53 (step @p61 :rule trans :premises (@p60 @p59)) % 0.19/0.53 (step @p62 :rule nary_cong :premises (@p23 @p61) :args ((or @t50 (not (and @t30 @t13 @t29 @t28 @t27 @t26 @t25))))) % 0.19/0.53 (step @p63 :rule bool-and-de-morgan :args (@t31 @t30 (and @t13 @t29 @t28 @t27 @t26 @t25))) % 0.19/0.53 (step @p64 :rule trans :premises (@p63 @p62)) % 0.19/0.53 (step @p65 :rule trans :premises (@p64 @p40)) % 0.19/0.53 (step @p66 :rule nary_cong :premises (@p65 @p39) :args ((or (not @t32) @t23))) % 0.19/0.53 (step @p67 :rule trans :premises (@p66 @p38)) % 0.19/0.53 (step @p68 :rule bool-impl-elim :args (@t32 @t23)) % 0.19/0.53 (step @p69 :rule trans :premises (@p68 @p67)) % 0.19/0.53 (step @p70 :rule cong :premises (@p69) :args (@t34)) % 0.19/0.53 (step @p71 :rule eq_resolve :premises (@p3 @p70)) % 0.19/0.53 (step @p72 :rule eq-symm :args (@t87 @t56)) % 0.19/0.53 (step @p73 :rule refl :args (@t63)) % 0.19/0.53 (step @p74 :rule refl :args (@t65)) % 0.19/0.53 (step @p75 :rule refl :args (@t89)) % 0.19/0.53 (step @p76 :rule refl :args (@t91)) % 0.19/0.53 (step @p77 :rule refl :args (@t93)) % 0.19/0.53 (step @p78 :rule refl :args (@t95)) % 0.19/0.53 (step @p79 :rule refl :args (@t69)) % 0.19/0.53 (step @p80 :rule refl :args (@t71)) % 0.19/0.53 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72) :args (@t96)) % 0.19/0.53 (step @p82 :rule refl :args (@t97)) % 0.19/0.53 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t97 @t96))) % 0.19/0.53 (assume-push @p218 @t97) % 0.19/0.53 (step @p85 :rule instantiate :premises (@p71) :args ((@list @t61 @t61 @t57 @t58 @t84 @t86 @t54 @t55))) % 0.19/0.53 (step-pop @p219 :rule scope :premises (@p85)) % 0.19/0.53 (step @p86 :rule process_scope :premises (@p219) :args (@t96)) % 0.19/0.53 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.19/0.53 (step @p89 :rule implies_elim :premises (@p88)) % 0.19/0.53 (step @p90 :rule chain_m_resolution :premises (@p89 @p71) :args (@t99 @t100 (@list @t97))) % 0.19/0.53 (step @p91 :rule bool-impl-elim :args (@t7 @t101)) % 0.19/0.53 (step @p92 :rule cong :premises (@p91) :args ((forall @t9 (=> @t7 @t101)))) % 0.19/0.53 (step @p93 :rule exists-elim :args ((= @t6 @t101))) % 0.19/0.53 (step @p94 :rule refl :args (@t7)) % 0.19/0.53 (step @p95 :rule cong :premises (@p94 @p93) :args (@t8)) % 0.19/0.53 (step @p96 :rule cong :premises (@p95) :args (@t10)) % 0.19/0.53 (step @p97 :rule trans :premises (@p96 @p92)) % 0.19/0.53 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.19/0.53 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t61 @t58))) % 0.19/0.53 (step @p100 :rule bool-double-not-elim :args (@t68)) % 0.19/0.53 (step @p101 :rule refl :args (@t72)) % 0.19/0.53 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t72 (not @t69)))) % 0.19/0.53 (step @p103 :rule cnf_or_neg :args (@t72 1)) % 0.19/0.53 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.19/0.53 (step @p105 :rule reordering :premises (@p104) :args ((or @t68 @t72))) % 0.19/0.53 (step @p106 :rule chain_m_resolution :premises (@p105 @p35) :args (@t68 @t73 @t74)) % 0.19/0.53 (step @p107 :rule cnf_or_pos :args (@t103)) % 0.19/0.53 (step @p108 :rule reordering :premises (@p107) :args ((or @t69 @t102 (not @t103)))) % 0.19/0.53 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p99) :args (@t102 @t104 (@list @t68 @t103))) % 0.19/0.53 (step @p110 :rule refl :args (@t88)) % 0.19/0.53 (step @p111 :rule bool-double-not-elim :args (@t85)) % 0.19/0.53 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t102) @t88))) % 0.19/0.53 (step @p113 :rule bool-double-not-elim :args (@t88)) % 0.19/0.53 (step @p114 :rule refl :args (@t102)) % 0.19/0.53 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t102 @t105))) % 0.19/0.53 (assume-push @p220 @t102) % 0.19/0.53 (step @p117 :rule skolemize :premises (@p109)) % 0.19/0.53 (step-pop @p221 :rule scope :premises (@p117)) % 0.19/0.53 (step @p118 :rule process_scope :premises (@p221) :args (@t105)) % 0.19/0.53 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.19/0.53 (step @p121 :rule implies_elim :premises (@p120)) % 0.19/0.53 (step @p122 :rule eq_resolve :premises (@p121 @p112)) % 0.19/0.53 (step @p123 :rule chain_m_resolution :premises (@p122 @p109) :args (@t88 @t73 (@list @t85))) % 0.19/0.53 (step @p124 :rule instantiate :premises (@p98) :args ((@list @t61 @t57))) % 0.19/0.53 (step @p125 :rule bool-double-not-elim :args (@t70)) % 0.19/0.53 (step @p126 :rule nary_cong :premises (@p101 @p125) :args ((or @t72 (not @t71)))) % 0.19/0.53 (step @p127 :rule cnf_or_neg :args (@t72 0)) % 0.19/0.53 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.19/0.53 (step @p129 :rule reordering :premises (@p128) :args ((or @t70 @t72))) % 0.19/0.53 (step @p130 :rule chain_m_resolution :premises (@p129 @p35) :args (@t70 @t73 @t74)) % 0.19/0.53 (step @p131 :rule cnf_or_pos :args (@t107)) % 0.19/0.53 (step @p132 :rule reordering :premises (@p131) :args ((or @t71 @t106 (not @t107)))) % 0.19/0.53 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p124) :args (@t106 @t104 (@list @t70 @t107))) % 0.19/0.53 (step @p134 :rule refl :args (@t90)) % 0.19/0.53 (step @p135 :rule bool-double-not-elim :args (@t83)) % 0.19/0.53 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t106) @t90))) % 0.19/0.53 (step @p137 :rule bool-double-not-elim :args (@t90)) % 0.19/0.53 (step @p138 :rule refl :args (@t106)) % 0.19/0.53 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t106 @t108))) % 0.19/0.53 (assume-push @p222 @t106) % 0.19/0.53 (step @p141 :rule skolemize :premises (@p133)) % 0.19/0.53 (step-pop @p223 :rule scope :premises (@p141)) % 0.19/0.53 (step @p142 :rule process_scope :premises (@p223) :args (@t108)) % 0.19/0.53 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 0.19/0.53 (step @p145 :rule implies_elim :premises (@p144)) % 0.19/0.53 (step @p146 :rule eq_resolve :premises (@p145 @p136)) % 0.19/0.53 (step @p147 :rule chain_m_resolution :premises (@p146 @p133) :args (@t90 @t73 (@list @t83))) % 0.19/0.53 (step @p148 :rule bool-impl-elim :args (@t15 @t14)) % 0.19/0.53 (step @p149 :rule cong :premises (@p148) :args (@t16)) % 0.19/0.53 (step @p150 :rule eq_resolve :premises (@p2 @p149)) % 0.19/0.53 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t61 @t57 @t58))) % 0.19/0.53 (step @p152 :rule bool-double-not-elim :args (@t66)) % 0.19/0.53 (step @p153 :rule nary_cong :premises (@p101 @p152) :args ((or @t72 (not @t67)))) % 0.19/0.53 (step @p154 :rule cnf_or_neg :args (@t72 2)) % 0.19/0.53 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.19/0.53 (step @p156 :rule reordering :premises (@p155) :args ((or @t66 @t72))) % 0.19/0.53 (step @p157 :rule chain_m_resolution :premises (@p156 @p35) :args (@t66 @t73 @t74)) % 0.19/0.53 (step @p158 :rule cnf_or_pos :args (@t110)) % 0.19/0.53 (step @p159 :rule reordering :premises (@p158) :args ((or @t67 @t109 (not @t110)))) % 0.19/0.53 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p151) :args (@t109 @t104 (@list @t66 @t110))) % 0.19/0.53 (step @p161 :rule cnf_and_pos :args (@t109 1)) % 0.19/0.53 (step @p162 :rule reordering :premises (@p161) :args ((or @t92 @t111))) % 0.19/0.53 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t92 @t100 @t112)) % 0.19/0.53 (step @p164 :rule cnf_and_pos :args (@t109 0)) % 0.19/0.53 (step @p165 :rule reordering :premises (@p164) :args ((or @t94 @t111))) % 0.19/0.53 (step @p166 :rule chain_m_resolution :premises (@p165 @p160) :args (@t94 @t100 @t112)) % 0.19/0.53 (step @p167 :rule bool-double-not-elim :args (@t62)) % 0.19/0.53 (step @p168 :rule nary_cong :premises (@p101 @p167) :args ((or @t72 (not @t63)))) % 0.19/0.53 (step @p169 :rule cnf_or_neg :args (@t72 4)) % 0.19/0.53 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.19/0.53 (step @p171 :rule reordering :premises (@p170) :args ((or @t62 @t72))) % 0.19/0.53 (step @p172 :rule chain_m_resolution :premises (@p171 @p35) :args (@t62 @t73 @t74)) % 0.19/0.53 (step @p173 :rule bool-double-not-elim :args (@t64)) % 0.19/0.53 (step @p174 :rule nary_cong :premises (@p101 @p173) :args ((or @t72 (not @t65)))) % 0.19/0.53 (step @p175 :rule cnf_or_neg :args (@t72 3)) % 0.19/0.53 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.19/0.53 (step @p177 :rule reordering :premises (@p176) :args ((or @t64 @t72))) % 0.19/0.53 (step @p178 :rule chain_m_resolution :premises (@p177 @p35) :args (@t64 @t73 @t74)) % 0.19/0.53 (step @p179 :rule cnf_or_pos :args (@t99)) % 0.19/0.53 (step @p180 :rule reordering :premises (@p179) :args ((or @t71 @t69 @t65 @t63 @t95 @t93 @t91 @t89 @t98 (not @t99)))) % 0.19/0.53 (step @p181 :rule chain_m_resolution :premises (@p180 @p130 @p106 @p178 @p172 @p166 @p163 @p147 @p123 @p90) :args (@t98 (@list false false false false false false false false false) (@list @t70 @t68 @t64 @t62 @t94 @t92 @t90 @t88 @t99))) % 0.19/0.53 (step @p182 :rule aci_norm :args ((= (or @t114 @t22) (or @t50 @t49 @t48 @t77 @t113 @t45 @t22)))) % 0.19/0.53 (step @p183 :rule refl :args (@t22)) % 0.19/0.53 (step @p184 :rule aci_norm :args ((= (or @t50 (or @t49 (or @t48 (or @t77 (or @t113 @t45))))) @t114))) % 0.19/0.53 (step @p185 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.19/0.53 (step @p186 :rule nary_cong :premises (@p46 @p185) :args ((or @t77 (not (and @t36 @t35))))) % 0.19/0.53 (step @p187 :rule bool-and-de-morgan :args (@t28 @t36 (and @t35))) % 0.19/0.53 (step @p188 :rule trans :premises (@p187 @p186)) % 0.19/0.53 (step @p189 :rule nary_cong :premises (@p15 @p188) :args ((or @t48 (not (and @t28 @t36 @t35))))) % 0.19/0.53 (step @p190 :rule bool-and-de-morgan :args (@t15 @t28 (and @t36 @t35))) % 0.19/0.53 (step @p191 :rule trans :premises (@p190 @p189)) % 0.19/0.53 (step @p192 :rule nary_cong :premises (@p19 @p191) :args ((or @t49 (not (and @t15 @t28 @t36 @t35))))) % 0.19/0.53 (step @p193 :rule bool-and-de-morgan :args (@t37 @t15 (and @t28 @t36 @t35))) % 0.19/0.53 (step @p194 :rule trans :premises (@p193 @p192)) % 0.19/0.53 (step @p195 :rule nary_cong :premises (@p23 @p194) :args ((or @t50 (not (and @t37 @t15 @t28 @t36 @t35))))) % 0.19/0.53 (step @p196 :rule bool-and-de-morgan :args (@t31 @t37 (and @t15 @t28 @t36 @t35))) % 0.19/0.53 (step @p197 :rule trans :premises (@p196 @p195)) % 0.19/0.53 (step @p198 :rule trans :premises (@p197 @p184)) % 0.19/0.53 (step @p199 :rule nary_cong :premises (@p198 @p183) :args ((or (not @t38) @t22))) % 0.19/0.53 (step @p200 :rule trans :premises (@p199 @p182)) % 0.19/0.53 (step @p201 :rule bool-impl-elim :args (@t38 @t22)) % 0.19/0.53 (step @p202 :rule trans :premises (@p201 @p200)) % 0.19/0.53 (step @p203 :rule cong :premises (@p202) :args (@t39)) % 0.19/0.53 (step @p204 :rule eq_resolve :premises (@p4 @p203)) % 0.19/0.53 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t61 @t84 @t86 @t57 @t58))) % 0.19/0.53 (step @p206 :rule bool-double-not-elim :args (@t59)) % 0.19/0.53 (step @p207 :rule nary_cong :premises (@p101 @p206) :args ((or @t72 (not @t60)))) % 0.19/0.53 (step @p208 :rule cnf_or_neg :args (@t72 5)) % 0.19/0.53 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.19/0.53 (step @p210 :rule reordering :premises (@p209) :args ((or @t59 @t72))) % 0.19/0.53 (step @p211 :rule chain_m_resolution :premises (@p210 @p35) :args (@t59 @t73 @t74)) % 0.19/0.53 (step @p212 :rule cnf_or_pos :args (@t115)) % 0.19/0.53 (step @p213 :rule reordering :premises (@p212) :args ((or @t71 @t69 @t67 @t60 @t91 @t89 @t87 (not @t115)))) % 0.19/0.53 (step @p214 :rule chain_m_resolution :premises (@p213 @p130 @p106 @p157 @p211 @p147 @p123 @p205) :args (@t87 (@list false false false false false false false) (@list @t70 @t68 @t66 @t59 @t90 @t88 @t115))) % 0.19/0.53 (step @p215 :rule cnf_equiv_pos2 :args (@t98)) % 0.19/0.53 (step @p216 :rule reordering :premises (@p215) :args ((or @t56 (not @t87) (not @t98)))) % 0.19/0.53 (step @p217 false :rule chain_m_resolution :premises (@p216 @p214 @p181 @p37) :args (false (@list false false true) (@list @t87 @t98 @t56))) % 0.19/0.53 ) % 0.19/0.53 % SZS output end Proof % 0.19/0.53 % cvc5 exiting %------------------------------------------------------------------------------