%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 06:04:54 AM UTC 2026 % Result : Theorem 0.22s 0.55s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n010.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % 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 13:30:26 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.55 % SZS status Theorem % 0.22/0.55 % SZS output start Proof % 0.22/0.55 ( % 0.22/0.55 (declare-sort $$unsorted 0) % 0.22/0.55 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.55 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.22/0.55 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.22/0.55 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.22/0.55 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.55 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.22/0.55 (declare-const tptp.eta $$unsorted) % 0.22/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.22/0.55 (declare-const tptp.zero $$unsorted) % 0.22/0.55 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.22/0.55 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.22/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.22/0.55 (define @t2 () (@var "X" $$unsorted)) % 0.22/0.55 (define @t3 () (= @t2 @t1)) % 0.22/0.55 (define @t4 () (tptp.smaller @t2 @t1)) % 0.22/0.55 (define @t5 () (@list @t2 @t1)) % 0.22/0.55 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.22/0.55 (define @t7 () (tptp.greater @t2 @t1)) % 0.22/0.55 (define @t8 () (tptp.greater @t1 @t2)) % 0.22/0.55 (define @t9 () (forall @t5 (= @t4 @t8))) % 0.22/0.55 (define @t10 () (@var "Z" $$unsorted)) % 0.22/0.55 (define @t11 () (@var "T" $$unsorted)) % 0.22/0.55 (define @t12 () (tptp.has_immunity @t2 @t11)) % 0.22/0.55 (define @t13 () (not @t12)) % 0.22/0.55 (define @t14 () (tptp.age @t2 @t11)) % 0.22/0.55 (define @t15 () (tptp.greater @t14 tptp.eta)) % 0.22/0.55 (define @t16 () (tptp.smaller_or_equal @t14 tptp.eta)) % 0.22/0.55 (define @t17 () (tptp.organization @t2)) % 0.22/0.55 (define @t18 () (and @t17 (=> @t16 @t12) (=> @t15 @t13))) % 0.22/0.55 (define @t19 () (@list @t11)) % 0.22/0.55 (define @t20 () (forall @t19 @t18)) % 0.22/0.55 (define @t21 () (tptp.has_endowment @t2)) % 0.22/0.55 (define @t22 () (= @t21 @t20)) % 0.22/0.55 (define @t23 () (forall (@list @t2) @t22)) % 0.22/0.55 (define @t24 () (tptp.hazard_of_mortality @t2 @t11)) % 0.22/0.55 (define @t25 () (@var "T0" $$unsorted)) % 0.22/0.55 (define @t26 () (tptp.hazard_of_mortality @t2 @t25)) % 0.22/0.55 (define @t27 () (= @t26 @t24)) % 0.22/0.55 (define @t28 () (tptp.has_immunity @t2 @t25)) % 0.22/0.55 (define @t29 () (and @t17 @t28 @t12)) % 0.22/0.55 (define @t30 () (@list @t2 @t25 @t11)) % 0.22/0.55 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.22/0.55 (define @t32 () (tptp.greater @t24 @t26)) % 0.22/0.55 (define @t33 () (and @t17 @t28 @t13)) % 0.22/0.55 (define @t34 () (forall @t30 (=> @t33 @t32))) % 0.22/0.55 (define @t35 () (@var "T1" $$unsorted)) % 0.22/0.55 (define @t36 () (tptp.hazard_of_mortality @t2 @t35)) % 0.22/0.55 (define @t37 () (@var "T2" $$unsorted)) % 0.22/0.55 (define @t38 () (tptp.greater (tptp.hazard_of_mortality @t2 @t37) @t36)) % 0.22/0.55 (define @t39 () (and @t38 (= @t36 @t26))) % 0.22/0.55 (define @t40 () (tptp.greater tptp.eta tptp.zero)) % 0.22/0.55 (define @t41 () (tptp.greater (tptp.age @t2 @t37) tptp.eta)) % 0.22/0.55 (define @t42 () (tptp.smaller_or_equal (tptp.age @t2 @t35) tptp.eta)) % 0.22/0.55 (define @t43 () (tptp.age @t2 @t25)) % 0.22/0.55 (define @t44 () (and @t17 @t21 (= @t43 tptp.zero) @t42 @t41 @t40)) % 0.22/0.55 (define @t45 () (=> @t44 @t39)) % 0.22/0.55 (define @t46 () (@list @t2 @t25 @t35 @t37)) % 0.22/0.55 (define @t47 () (forall @t46 @t45)) % 0.22/0.55 (define @t48 () (not @t47)) % 0.22/0.55 (define @t49 () (not @t28)) % 0.22/0.55 (define @t50 () (not @t17)) % 0.22/0.55 (define @t51 () (or @t50 @t49 @t13 @t27)) % 0.22/0.55 (define @t52 () (or @t50 @t49 @t13)) % 0.22/0.55 (define @t53 () (or (not @t15) @t13)) % 0.22/0.55 (define @t54 () (forall @t19 @t53)) % 0.22/0.55 (define @t55 () (@list @t11)) % 0.22/0.55 (define @t56 () (@var "BOUND_VARIABLE_7524" $$unsorted)) % 0.22/0.55 (define @t57 () (or (not @t16) @t12)) % 0.22/0.55 (define @t58 () (forall @t19 @t57)) % 0.22/0.55 (define @t59 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 0.22/0.55 (define @t60 () (forall @t19 @t17)) % 0.22/0.55 (define @t61 () (and @t60 @t58 @t54)) % 0.22/0.55 (define @t62 () (and @t38 (= @t26 @t36))) % 0.22/0.55 (define @t63 () (not @t41)) % 0.22/0.55 (define @t64 () (not @t42)) % 0.22/0.55 (define @t65 () (= tptp.zero @t43)) % 0.22/0.55 (define @t66 () (not @t65)) % 0.22/0.55 (define @t67 () (not @t21)) % 0.22/0.55 (define @t68 () (or @t50 @t67 @t66 @t64 @t63 @t62)) % 0.22/0.55 (define @t69 () (forall @t46 @t68)) % 0.22/0.55 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.22/0.55 (define @t71 () (not @t40)) % 0.22/0.55 (define @t72 () (or @t71 @t68)) % 0.22/0.55 (define @t73 () (or @t50 @t67 @t66 @t64 @t63 @t71 @t62)) % 0.22/0.55 (define @t74 () (or @t50 @t67 @t66 @t64 @t63 @t71)) % 0.22/0.55 (define @t75 () (and @t17 @t21 @t65 @t42 @t41 @t40)) % 0.22/0.55 (define @t76 () (@quantifiers_skolemize @t69 1)) % 0.22/0.55 (define @t77 () (tptp.hazard_of_mortality @t70 @t76)) % 0.22/0.55 (define @t78 () (@quantifiers_skolemize @t69 2)) % 0.22/0.55 (define @t79 () (tptp.hazard_of_mortality @t70 @t78)) % 0.22/0.55 (define @t80 () (= @t79 @t77)) % 0.22/0.55 (define @t81 () (@quantifiers_skolemize @t69 3)) % 0.22/0.55 (define @t82 () (tptp.greater (tptp.hazard_of_mortality @t70 @t81) @t79)) % 0.22/0.55 (define @t83 () (and @t82 @t80)) % 0.22/0.55 (define @t84 () (tptp.greater (tptp.age @t70 @t81) tptp.eta)) % 0.22/0.55 (define @t85 () (not @t84)) % 0.22/0.55 (define @t86 () (tptp.smaller_or_equal (tptp.age @t70 @t78) tptp.eta)) % 0.22/0.55 (define @t87 () (not @t86)) % 0.22/0.55 (define @t88 () (tptp.age @t70 @t76)) % 0.22/0.55 (define @t89 () (= tptp.zero @t88)) % 0.22/0.55 (define @t90 () (not @t89)) % 0.22/0.55 (define @t91 () (tptp.has_endowment @t70)) % 0.22/0.55 (define @t92 () (not @t91)) % 0.22/0.55 (define @t93 () (tptp.organization @t70)) % 0.22/0.55 (define @t94 () (not @t93)) % 0.22/0.55 (define @t95 () (or @t94 @t92 @t90 @t87 @t85 @t83)) % 0.22/0.55 (define @t96 () (not @t95)) % 0.22/0.55 (define @t97 () (not @t69)) % 0.22/0.55 (define @t98 () (= @t77 @t79)) % 0.22/0.55 (define @t99 () (and @t82 @t98)) % 0.22/0.55 (define @t100 () (or @t94 @t92 @t90 @t87 @t85 @t99)) % 0.22/0.55 (define @t101 () (not @t100)) % 0.22/0.55 (define @t102 () (@list true)) % 0.22/0.55 (define @t103 () (@list @t95)) % 0.22/0.55 (define @t104 () (forall (@list @t56) (or (not (tptp.greater (tptp.age @t70 @t56) tptp.eta)) (not (tptp.has_immunity @t70 @t56))))) % 0.22/0.55 (define @t105 () (forall (@list @t59) (or (not (tptp.smaller_or_equal (tptp.age @t70 @t59) tptp.eta)) (tptp.has_immunity @t70 @t59)))) % 0.22/0.55 (define @t106 () (and @t93 @t105 @t104)) % 0.22/0.55 (define @t107 () (= @t91 @t106)) % 0.22/0.55 (define @t108 () (@list false false)) % 0.22/0.55 (define @t109 () (not @t106)) % 0.22/0.55 (define @t110 () (@list false)) % 0.22/0.55 (define @t111 () (@list @t106)) % 0.22/0.55 (define @t112 () (tptp.smaller tptp.zero tptp.eta)) % 0.22/0.55 (define @t113 () (or @t112 (= tptp.zero tptp.eta))) % 0.22/0.55 (define @t114 () (tptp.smaller_or_equal tptp.zero tptp.eta)) % 0.22/0.55 (define @t115 () (= @t114 @t113)) % 0.22/0.55 (define @t116 () (@list tptp.zero tptp.eta)) % 0.22/0.55 (define @t117 () (or @t112 (= tptp.eta tptp.zero))) % 0.22/0.55 (define @t118 () (= @t114 @t117)) % 0.22/0.55 (define @t119 () (= @t112 @t40)) % 0.22/0.55 (define @t120 () (= @t40 @t112)) % 0.22/0.55 (define @t121 () (tptp.smaller_or_equal @t88 tptp.eta)) % 0.22/0.55 (define @t122 () (tptp.has_immunity @t70 @t76)) % 0.22/0.55 (define @t123 () (not @t121)) % 0.22/0.55 (define @t124 () (or @t123 @t122)) % 0.22/0.55 (define @t125 () (tptp.has_immunity @t70 @t78)) % 0.22/0.55 (define @t126 () (or @t87 @t125)) % 0.22/0.55 (define @t127 () (not @t13)) % 0.22/0.55 (define @t128 () (or @t50 @t49 @t127)) % 0.22/0.55 (define @t129 () (tptp.has_immunity @t70 @t81)) % 0.22/0.55 (define @t130 () (not @t129)) % 0.22/0.55 (define @t131 () (or @t85 @t130)) % 0.22/0.55 (define @t132 () (not @t125)) % 0.22/0.55 (define @t133 () (or @t94 @t132 @t129 @t82)) % 0.22/0.55 (define @t134 () (@list true false)) % 0.22/0.55 (define @t135 () (not @t122)) % 0.22/0.55 (define @t136 () (or @t94 @t135 @t132 @t80)) % 0.22/0.55 (define @t137 () (not @t136)) % 0.22/0.55 (define @t138 () (or @t94 @t135 @t132 @t98)) % 0.22/0.55 (define @t139 () (forall @t30 @t51)) % 0.22/0.55 (assume @p1 @t6) % 0.22/0.55 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.22/0.55 (assume @p3 @t9) % 0.22/0.55 (assume @p4 (forall @t5 (not (and @t7 @t8)))) % 0.22/0.55 (assume @p5 (forall (@list @t2 @t1 @t10) (=> (and @t7 (tptp.greater @t1 @t10)) (tptp.greater @t2 @t10)))) % 0.22/0.55 (assume @p6 (forall @t5 (or @t4 @t3 @t7))) % 0.22/0.55 (assume @p7 @t23) % 0.22/0.55 (assume @p8 @t31) % 0.22/0.55 (assume @p9 @t34) % 0.22/0.55 (assume @p10 @t48) % 0.22/0.55 (assume @p11 true) % 0.22/0.55 (step @p12 :rule aci_norm :args ((= (or @t52 @t27) @t51))) % 0.22/0.55 (step @p13 :rule refl :args (@t27)) % 0.22/0.55 (step @p14 :rule aci_norm :args ((= (or @t50 (or @t49 @t13)) @t52))) % 0.22/0.55 (step @p15 :rule bool-and-de-morgan :args (@t28 @t12 true)) % 0.22/0.55 (step @p16 :rule refl :args (@t50)) % 0.22/0.55 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t50 (not (and @t28 @t12))))) % 0.22/0.55 (step @p18 :rule bool-and-de-morgan :args (@t17 @t28 (and @t12))) % 0.22/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.22/0.55 (step @p20 :rule trans :premises (@p19 @p14)) % 0.22/0.55 (step @p21 :rule nary_cong :premises (@p20 @p13) :args ((or (not @t29) @t27))) % 0.22/0.55 (step @p22 :rule trans :premises (@p21 @p12)) % 0.22/0.55 (step @p23 :rule bool-impl-elim :args (@t29 @t27)) % 0.22/0.55 (step @p24 :rule trans :premises (@p23 @p22)) % 0.22/0.55 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 0.22/0.55 (step @p26 :rule eq_resolve :premises (@p8 @p25)) % 0.22/0.55 (step @p27 :rule alpha_equiv :args (@t54 @t55 (@list @t56))) % 0.22/0.55 (step @p28 :rule alpha_equiv :args (@t58 @t55 (@list @t59))) % 0.22/0.55 (step @p29 :rule quant-unused-vars :args ((= @t60 @t17))) % 0.22/0.55 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t61)) % 0.22/0.55 (step @p31 :rule quant-miniscope-and :args ((= (forall @t19 (and @t17 @t57 @t53)) @t61))) % 0.22/0.55 (step @p32 :rule trans :premises (@p31 @p30)) % 0.22/0.55 (step @p33 :rule bool-impl-elim :args (@t15 @t13)) % 0.22/0.55 (step @p34 :rule bool-impl-elim :args (@t16 @t12)) % 0.22/0.55 (step @p35 :rule refl :args (@t17)) % 0.22/0.55 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t18)) % 0.22/0.55 (step @p37 :rule cong :premises (@p36) :args (@t20)) % 0.22/0.55 (step @p38 :rule trans :premises (@p37 @p32)) % 0.22/0.55 (step @p39 :rule refl :args (@t21)) % 0.22/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args (@t22)) % 0.22/0.55 (step @p41 :rule cong :premises (@p40) :args (@t23)) % 0.22/0.55 (step @p42 :rule eq_resolve :premises (@p7 @p41)) % 0.22/0.55 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t70))) % 0.22/0.55 (step @p44 :rule quant-miniscope-or :args ((= (forall @t46 @t72) (or @t71 @t69)))) % 0.22/0.55 (step @p45 :rule aci_norm :args ((= @t73 @t72))) % 0.22/0.55 (step @p46 :rule cong :premises (@p45) :args ((forall @t46 @t73))) % 0.22/0.55 (step @p47 :rule trans :premises (@p46 @p44)) % 0.22/0.55 (step @p48 :rule aci_norm :args ((= (or @t74 @t62) @t73))) % 0.22/0.55 (step @p49 :rule refl :args (@t62)) % 0.22/0.55 (step @p50 :rule aci_norm :args ((= (or @t50 (or @t67 (or @t66 (or @t64 (or @t63 @t71))))) @t74))) % 0.22/0.55 (step @p51 :rule bool-and-de-morgan :args (@t41 @t40 true)) % 0.22/0.55 (step @p52 :rule refl :args (@t64)) % 0.22/0.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t64 (not (and @t41 @t40))))) % 0.22/0.55 (step @p54 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40))) % 0.22/0.55 (step @p55 :rule trans :premises (@p54 @p53)) % 0.22/0.55 (step @p56 :rule refl :args (@t66)) % 0.22/0.55 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t66 (not (and @t42 @t41 @t40))))) % 0.22/0.55 (step @p58 :rule bool-and-de-morgan :args (@t65 @t42 (and @t41 @t40))) % 0.22/0.55 (step @p59 :rule trans :premises (@p58 @p57)) % 0.22/0.55 (step @p60 :rule refl :args (@t67)) % 0.22/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t67 (not (and @t65 @t42 @t41 @t40))))) % 0.22/0.55 (step @p62 :rule bool-and-de-morgan :args (@t21 @t65 (and @t42 @t41 @t40))) % 0.22/0.55 (step @p63 :rule trans :premises (@p62 @p61)) % 0.22/0.55 (step @p64 :rule nary_cong :premises (@p16 @p63) :args ((or @t50 (not (and @t21 @t65 @t42 @t41 @t40))))) % 0.22/0.55 (step @p65 :rule bool-and-de-morgan :args (@t17 @t21 (and @t65 @t42 @t41 @t40))) % 0.22/0.55 (step @p66 :rule trans :premises (@p65 @p64)) % 0.22/0.55 (step @p67 :rule trans :premises (@p66 @p50)) % 0.22/0.55 (step @p68 :rule nary_cong :premises (@p67 @p49) :args ((or (not @t75) @t62))) % 0.22/0.55 (step @p69 :rule trans :premises (@p68 @p48)) % 0.22/0.55 (step @p70 :rule bool-impl-elim :args (@t75 @t62)) % 0.22/0.55 (step @p71 :rule trans :premises (@p70 @p69)) % 0.22/0.55 (step @p72 :rule cong :premises (@p71) :args ((forall @t46 (=> @t75 @t62)))) % 0.22/0.55 (step @p73 :rule trans :premises (@p72 @p47)) % 0.22/0.55 (step @p74 :rule eq-symm :args (@t36 @t26)) % 0.22/0.55 (step @p75 :rule refl :args (@t38)) % 0.22/0.55 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t39)) % 0.22/0.55 (step @p77 :rule refl :args (@t40)) % 0.22/0.55 (step @p78 :rule refl :args (@t41)) % 0.22/0.55 (step @p79 :rule refl :args (@t42)) % 0.22/0.55 (step @p80 :rule eq-symm :args (@t43 tptp.zero)) % 0.22/0.55 (step @p81 :rule refl :args (@t17)) % 0.22/0.55 (step @p82 :rule nary_cong :premises (@p81 @p39 @p80 @p79 @p78 @p77) :args (@t44)) % 0.22/0.55 (step @p83 :rule cong :premises (@p82 @p76) :args (@t45)) % 0.22/0.55 (step @p84 :rule cong :premises (@p83) :args (@t47)) % 0.22/0.55 (step @p85 :rule trans :premises (@p84 @p73)) % 0.22/0.55 (step @p86 :rule cong :premises (@p85) :args (@t48)) % 0.22/0.55 (step @p87 :rule eq_resolve :premises (@p10 @p86)) % 0.22/0.55 (step @p88 :rule not_or_elim :premises (@p87) :args (1)) % 0.22/0.55 (step @p89 :rule refl :args (@t96)) % 0.22/0.55 (step @p90 :rule bool-double-not-elim :args (@t69)) % 0.22/0.55 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t97) @t96))) % 0.22/0.55 (step @p92 :rule eq-symm :args (@t77 @t79)) % 0.22/0.55 (step @p93 :rule refl :args (@t82)) % 0.22/0.55 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t99)) % 0.22/0.55 (step @p95 :rule refl :args (@t85)) % 0.22/0.55 (step @p96 :rule refl :args (@t87)) % 0.22/0.55 (step @p97 :rule refl :args (@t90)) % 0.22/0.55 (step @p98 :rule refl :args (@t92)) % 0.22/0.55 (step @p99 :rule refl :args (@t94)) % 0.22/0.55 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95 @p94) :args (@t100)) % 0.22/0.55 (step @p101 :rule cong :premises (@p100) :args (@t101)) % 0.22/0.55 (step @p102 :rule refl :args (@t97)) % 0.22/0.55 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t97 @t101))) % 0.22/0.55 (assume-push @p246 @t97) % 0.22/0.55 (step @p105 :rule skolemize :premises (@p88)) % 0.22/0.55 (step-pop @p247 :rule scope :premises (@p105)) % 0.22/0.55 (step @p106 :rule process_scope :premises (@p247) :args (@t101)) % 0.22/0.55 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.22/0.55 (step @p109 :rule implies_elim :premises (@p108)) % 0.22/0.55 (step @p110 :rule eq_resolve :premises (@p109 @p91)) % 0.22/0.55 (step @p111 :rule chain_m_resolution :premises (@p110 @p88) :args (@t96 @t102 (@list @t69))) % 0.22/0.55 (step @p112 :rule bool-double-not-elim :args (@t91)) % 0.22/0.55 (step @p113 :rule refl :args (@t95)) % 0.22/0.55 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t95 (not @t92)))) % 0.22/0.55 (step @p115 :rule cnf_or_neg :args (@t95 1)) % 0.22/0.55 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.22/0.55 (step @p117 :rule reordering :premises (@p116) :args ((or @t91 @t95))) % 0.22/0.55 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t91 @t102 @t103)) % 0.22/0.55 (step @p119 :rule cnf_equiv_pos1 :args (@t107)) % 0.22/0.55 (step @p120 :rule reordering :premises (@p119) :args ((or @t92 @t106 (not @t107)))) % 0.22/0.55 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p43) :args (@t106 @t108 (@list @t91 @t107))) % 0.22/0.55 (step @p122 :rule cnf_and_pos :args (@t106 1)) % 0.22/0.55 (step @p123 :rule reordering :premises (@p122) :args ((or @t105 @t109))) % 0.22/0.55 (step @p124 :rule chain_m_resolution :premises (@p123 @p121) :args (@t105 @t110 @t111)) % 0.22/0.55 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t76))) % 0.22/0.55 (step @p126 :rule eq-symm :args (tptp.zero tptp.eta)) % 0.22/0.55 (step @p127 :rule refl :args (@t112)) % 0.22/0.55 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t113)) % 0.22/0.55 (step @p129 :rule refl :args (@t114)) % 0.22/0.55 (step @p130 :rule cong :premises (@p129 @p128) :args (@t115)) % 0.22/0.55 (step @p131 :rule refl :args (@t6)) % 0.22/0.55 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t6 @t115))) % 0.22/0.55 (assume-push @p248 @t6) % 0.22/0.55 (step @p134 :rule instantiate :premises (@p1) :args (@t116)) % 0.22/0.55 (step-pop @p249 :rule scope :premises (@p134)) % 0.22/0.55 (step @p135 :rule process_scope :premises (@p249) :args (@t115)) % 0.22/0.55 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.22/0.55 (step @p138 :rule implies_elim :premises (@p137)) % 0.22/0.55 (step @p139 :rule chain_m_resolution :premises (@p138 @p1) :args (@t118 @t110 (@list @t6))) % 0.22/0.55 (step @p140 :rule eq-symm :args (@t112 @t40)) % 0.22/0.55 (step @p141 :rule refl :args (@t9)) % 0.22/0.55 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t9 @t119))) % 0.22/0.55 (assume-push @p250 @t9) % 0.22/0.55 (step @p144 :rule instantiate :premises (@p3) :args (@t116)) % 0.22/0.55 (step-pop @p251 :rule scope :premises (@p144)) % 0.22/0.55 (step @p145 :rule process_scope :premises (@p251) :args (@t119)) % 0.22/0.55 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.22/0.55 (step @p148 :rule implies_elim :premises (@p147)) % 0.22/0.55 (step @p149 :rule chain_m_resolution :premises (@p148 @p3) :args (@t120 @t110 (@list @t9))) % 0.22/0.55 (step @p150 :rule not_or_elim :premises (@p87) :args (0)) % 0.22/0.55 (step @p151 :rule not_not_elim :premises (@p150)) % 0.22/0.55 (step @p152 :rule cnf_equiv_pos1 :args (@t120)) % 0.22/0.55 (step @p153 :rule reordering :premises (@p152) :args ((or @t71 @t112 (not @t120)))) % 0.22/0.55 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p149) :args (@t112 @t108 (@list @t40 @t120))) % 0.22/0.55 (step @p155 :rule cnf_or_neg :args (@t117 0)) % 0.22/0.55 (step @p156 :rule reordering :premises (@p155) :args ((or (not @t112) @t117))) % 0.22/0.55 (step @p157 :rule chain_m_resolution :premises (@p156 @p154) :args (@t117 @t110 (@list @t112))) % 0.22/0.55 (step @p158 :rule cnf_equiv_pos2 :args (@t118)) % 0.22/0.55 (step @p159 :rule reordering :premises (@p158) :args ((or @t114 (not @t117) (not @t118)))) % 0.22/0.55 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p139) :args (@t114 @t108 (@list @t117 @t118))) % 0.22/0.55 (step @p161 :rule true_intro :premises (@p160)) % 0.22/0.55 (step @p162 :rule refl :args (tptp.eta)) % 0.22/0.55 (step @p163 :rule bool-double-not-elim :args (@t89)) % 0.22/0.55 (step @p164 :rule nary_cong :premises (@p113 @p163) :args ((or @t95 (not @t90)))) % 0.22/0.55 (step @p165 :rule cnf_or_neg :args (@t95 2)) % 0.22/0.55 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.22/0.55 (step @p167 :rule reordering :premises (@p166) :args ((or @t89 @t95))) % 0.22/0.55 (step @p168 :rule chain_m_resolution :premises (@p167 @p111) :args (@t89 @t102 @t103)) % 0.22/0.55 (step @p169 :rule symm :premises (@p168)) % 0.22/0.55 (step @p170 :rule cong :premises (@p169 @p162) :args (@t121)) % 0.22/0.55 (step @p171 :rule trans :premises (@p170 @p161)) % 0.22/0.55 (step @p172 :rule true_elim :premises (@p171)) % 0.22/0.55 (step @p173 :rule cnf_or_pos :args (@t124)) % 0.22/0.55 (step @p174 :rule reordering :premises (@p173) :args ((or @t123 @t122 (not @t124)))) % 0.22/0.55 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p125) :args (@t122 @t108 (@list @t121 @t124))) % 0.22/0.55 (step @p176 :rule instantiate :premises (@p124) :args ((@list @t78))) % 0.22/0.55 (step @p177 :rule bool-double-not-elim :args (@t86)) % 0.22/0.55 (step @p178 :rule nary_cong :premises (@p113 @p177) :args ((or @t95 (not @t87)))) % 0.22/0.55 (step @p179 :rule cnf_or_neg :args (@t95 3)) % 0.22/0.55 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.22/0.55 (step @p181 :rule reordering :premises (@p180) :args ((or @t86 @t95))) % 0.22/0.55 (step @p182 :rule chain_m_resolution :premises (@p181 @p111) :args (@t86 @t102 @t103)) % 0.22/0.55 (step @p183 :rule cnf_or_pos :args (@t126)) % 0.22/0.55 (step @p184 :rule reordering :premises (@p183) :args ((or @t87 @t125 (not @t126)))) % 0.22/0.55 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p176) :args (@t125 @t108 (@list @t86 @t126))) % 0.22/0.55 (step @p186 :rule aci_norm :args ((= (or (or @t50 @t49 @t12) @t32) (or @t50 @t49 @t12 @t32)))) % 0.22/0.55 (step @p187 :rule refl :args (@t32)) % 0.22/0.55 (step @p188 :rule bool-double-not-elim :args (@t12)) % 0.22/0.55 (step @p189 :rule refl :args (@t49)) % 0.22/0.55 (step @p190 :rule nary_cong :premises (@p16 @p189 @p188) :args (@t128)) % 0.22/0.55 (step @p191 :rule aci_norm :args ((= (or @t50 (or @t49 @t127)) @t128))) % 0.22/0.55 (step @p192 :rule trans :premises (@p191 @p190)) % 0.22/0.55 (step @p193 :rule bool-and-de-morgan :args (@t28 @t13 true)) % 0.22/0.55 (step @p194 :rule nary_cong :premises (@p16 @p193) :args ((or @t50 (not (and @t28 @t13))))) % 0.22/0.55 (step @p195 :rule bool-and-de-morgan :args (@t17 @t28 (and @t13))) % 0.22/0.55 (step @p196 :rule trans :premises (@p195 @p194)) % 0.22/0.55 (step @p197 :rule trans :premises (@p196 @p192)) % 0.22/0.55 (step @p198 :rule nary_cong :premises (@p197 @p187) :args ((or (not @t33) @t32))) % 0.22/0.55 (step @p199 :rule trans :premises (@p198 @p186)) % 0.22/0.55 (step @p200 :rule bool-impl-elim :args (@t33 @t32)) % 0.22/0.55 (step @p201 :rule trans :premises (@p200 @p199)) % 0.22/0.55 (step @p202 :rule cong :premises (@p201) :args (@t34)) % 0.22/0.55 (step @p203 :rule eq_resolve :premises (@p9 @p202)) % 0.22/0.55 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t70 @t78 @t81))) % 0.22/0.55 (step @p205 :rule cnf_and_pos :args (@t106 2)) % 0.22/0.55 (step @p206 :rule reordering :premises (@p205) :args ((or @t104 @t109))) % 0.22/0.55 (step @p207 :rule chain_m_resolution :premises (@p206 @p121) :args (@t104 @t110 @t111)) % 0.22/0.55 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t81))) % 0.22/0.55 (step @p209 :rule bool-double-not-elim :args (@t84)) % 0.22/0.55 (step @p210 :rule nary_cong :premises (@p113 @p209) :args ((or @t95 (not @t85)))) % 0.22/0.55 (step @p211 :rule cnf_or_neg :args (@t95 4)) % 0.22/0.55 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.22/0.55 (step @p213 :rule reordering :premises (@p212) :args ((or @t84 @t95))) % 0.22/0.55 (step @p214 :rule chain_m_resolution :premises (@p213 @p111) :args (@t84 @t102 @t103)) % 0.22/0.55 (step @p215 :rule cnf_or_pos :args (@t131)) % 0.22/0.55 (step @p216 :rule reordering :premises (@p215) :args ((or @t85 @t130 (not @t131)))) % 0.22/0.55 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p208) :args (@t130 @t108 (@list @t84 @t131))) % 0.22/0.55 (step @p218 :rule bool-double-not-elim :args (@t93)) % 0.22/0.55 (step @p219 :rule nary_cong :premises (@p113 @p218) :args ((or @t95 (not @t94)))) % 0.22/0.55 (step @p220 :rule cnf_or_neg :args (@t95 0)) % 0.22/0.55 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.22/0.55 (step @p222 :rule reordering :premises (@p221) :args ((or @t93 @t95))) % 0.22/0.55 (step @p223 :rule chain_m_resolution :premises (@p222 @p111) :args (@t93 @t102 @t103)) % 0.22/0.55 (step @p224 :rule cnf_or_pos :args (@t133)) % 0.22/0.55 (step @p225 :rule reordering :premises (@p224) :args ((or @t94 @t82 @t132 @t129 (not @t133)))) % 0.22/0.55 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p185 @p217 @p204) :args (@t82 (@list false false true false) (@list @t93 @t125 @t129 @t133))) % 0.22/0.55 (step @p227 :rule cnf_or_neg :args (@t95 5)) % 0.22/0.55 (step @p228 :rule chain_m_resolution :premises (@p227 @p111) :args ((not @t83) @t102 @t103)) % 0.22/0.55 (step @p229 :rule cnf_and_neg :args (@t83)) % 0.22/0.55 (step @p230 :rule chain_m_resolution :premises (@p229 @p228 @p226) :args ((not @t80) @t134 (@list @t83 @t82))) % 0.22/0.55 (step @p231 :rule cnf_or_pos :args (@t136)) % 0.22/0.55 (step @p232 :rule reordering :premises (@p231) :args ((or @t94 @t80 @t132 @t135 @t137))) % 0.22/0.56 (step @p233 :rule chain_m_resolution :premises (@p232 @p223 @p230 @p185 @p175) :args (@t137 (@list false true false false) (@list @t93 @t80 @t125 @t122))) % 0.22/0.56 (step @p234 :rule refl :args (@t132)) % 0.22/0.56 (step @p235 :rule refl :args (@t135)) % 0.22/0.56 (step @p236 :rule nary_cong :premises (@p99 @p235 @p234 @p92) :args (@t138)) % 0.22/0.56 (step @p237 :rule refl :args (@t139)) % 0.22/0.56 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t139 @t138))) % 0.22/0.56 (assume-push @p252 @t139) % 0.22/0.56 (step @p240 :rule instantiate :premises (@p26) :args ((@list @t70 @t76 @t78))) % 0.22/0.56 (step-pop @p253 :rule scope :premises (@p240)) % 0.22/0.56 (step @p241 :rule process_scope :premises (@p253) :args (@t138)) % 0.22/0.56 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 0.22/0.56 (step @p244 :rule implies_elim :premises (@p243)) % 0.22/0.56 (step @p245 false :rule chain_m_resolution :premises (@p244 @p233 @p26) :args (false @t134 (@list @t136 @t139))) % 0.22/0.56 ) % 0.22/0.56 % SZS output end Proof % 0.22/0.56 % cvc5 exiting %------------------------------------------------------------------------------