%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX121_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:09 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX121_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:57:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.38/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort tptp.symbol 0) % 0.38/0.58 (declare-sort tptp.general 0) % 0.38/0.58 (declare-const tptp.hp (-> tptp.general Bool)) % 0.38/0.58 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.38/0.58 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.38/0.58 (declare-const tptp.c__supremum__ tptp.general) % 0.38/0.58 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.38/0.58 (declare-const tptp.tq (-> tptp.general tptp.general Bool)) % 0.38/0.58 (declare-const tptp.c__infimum__ tptp.general) % 0.38/0.58 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.38/0.58 (declare-const tptp.hq (-> tptp.general tptp.general Bool)) % 0.38/0.58 (declare-const tptp.tp (-> tptp.general Bool)) % 0.38/0.58 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.58 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.38/0.58 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.58 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.38/0.58 (define @t1 () (@var "N" Int)) % 0.38/0.58 (define @t2 () (tptp.f__integer__ @t1)) % 0.38/0.58 (define @t3 () (@var "X" tptp.general)) % 0.38/0.58 (define @t4 () (@list @t1)) % 0.38/0.58 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.38/0.58 (define @t6 () (@list @t3)) % 0.38/0.58 (define @t7 () (@var "X2" tptp.symbol)) % 0.38/0.58 (define @t8 () (@var "X1" tptp.general)) % 0.38/0.58 (define @t9 () (@var "N2" Int)) % 0.38/0.58 (define @t10 () (@var "N1" Int)) % 0.38/0.58 (define @t11 () (tptp.f__integer__ @t9)) % 0.38/0.58 (define @t12 () (tptp.f__integer__ @t10)) % 0.38/0.58 (define @t13 () (@list @t10 @t9)) % 0.38/0.58 (define @t14 () (@var "S2" tptp.symbol)) % 0.38/0.58 (define @t15 () (@var "S1" tptp.symbol)) % 0.38/0.58 (define @t16 () (@var "X2" tptp.general)) % 0.38/0.58 (define @t17 () (= @t8 @t16)) % 0.38/0.58 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.38/0.58 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.38/0.58 (define @t20 () (@list @t8 @t16)) % 0.38/0.58 (define @t21 () (@var "X3" tptp.general)) % 0.38/0.58 (define @t22 () (not @t17)) % 0.38/0.58 (define @t23 () (@var "S" tptp.symbol)) % 0.38/0.58 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.38/0.58 (define @t25 () (@var "X2_g" tptp.general)) % 0.38/0.58 (define @t26 () (@var "X1_g" tptp.general)) % 0.38/0.58 (define @t27 () (@var "V2_g" tptp.general)) % 0.38/0.58 (define @t28 () (@var "V1_g" tptp.general)) % 0.38/0.58 (define @t29 () (tptp.tq @t28 @t27)) % 0.38/0.58 (define @t30 () (not @t29)) % 0.38/0.58 (define @t31 () (not @t30)) % 0.38/0.58 (define @t32 () (@var "Z_g" tptp.general)) % 0.38/0.58 (define @t33 () (tptp.tp @t32)) % 0.38/0.58 (define @t34 () (@var "Y_g" tptp.general)) % 0.38/0.58 (define @t35 () (= @t32 @t34)) % 0.38/0.58 (define @t36 () (and @t35 @t33)) % 0.38/0.58 (define @t37 () (@list @t32)) % 0.38/0.58 (define @t38 () (exists @t37 @t36)) % 0.38/0.58 (define @t39 () (@var "X_g" tptp.general)) % 0.38/0.58 (define @t40 () (= @t32 @t39)) % 0.38/0.58 (define @t41 () (and @t40 @t33)) % 0.38/0.58 (define @t42 () (exists @t37 @t41)) % 0.38/0.58 (define @t43 () (= @t27 @t34)) % 0.38/0.58 (define @t44 () (= @t28 @t39)) % 0.38/0.58 (define @t45 () (and @t44 @t43 @t42 @t38 @t31)) % 0.38/0.58 (define @t46 () (=> @t45 @t29)) % 0.38/0.58 (define @t47 () (tptp.hq @t28 @t27)) % 0.38/0.58 (define @t48 () (tptp.hp @t32)) % 0.38/0.58 (define @t49 () (and @t35 @t48)) % 0.38/0.58 (define @t50 () (exists @t37 @t49)) % 0.38/0.58 (define @t51 () (and @t40 @t48)) % 0.38/0.58 (define @t52 () (exists @t37 @t51)) % 0.38/0.58 (define @t53 () (and @t44 @t43 @t52 @t50 @t31)) % 0.38/0.58 (define @t54 () (=> @t53 @t47)) % 0.38/0.58 (define @t55 () (and @t54 @t46)) % 0.38/0.58 (define @t56 () (@list @t28 @t27 @t39 @t34)) % 0.38/0.58 (define @t57 () (forall @t56 @t55)) % 0.38/0.58 (define @t58 () (@var "Z1_g" tptp.general)) % 0.38/0.58 (define @t59 () (= @t58 @t32)) % 0.38/0.58 (define @t60 () (@list @t58)) % 0.38/0.58 (define @t61 () (@var "Z2_g" tptp.general)) % 0.38/0.58 (define @t62 () (tptp.tq @t58 @t61)) % 0.38/0.58 (define @t63 () (= @t61 @t32)) % 0.38/0.58 (define @t64 () (@list @t58 @t61)) % 0.38/0.58 (define @t65 () (exists @t64 (and (= @t58 @t39) @t63 (not @t62)))) % 0.38/0.58 (define @t66 () (= @t58 @t34)) % 0.38/0.58 (define @t67 () (@list @t32 @t58)) % 0.38/0.58 (define @t68 () (not @t57)) % 0.38/0.58 (define @t69 () (tptp.hq @t39 @t34)) % 0.38/0.58 (define @t70 () (not (tptp.tq @t39 @t34))) % 0.38/0.58 (define @t71 () (tptp.hp @t34)) % 0.38/0.58 (define @t72 () (not @t71)) % 0.38/0.58 (define @t73 () (tptp.hp @t39)) % 0.38/0.58 (define @t74 () (not @t73)) % 0.38/0.58 (define @t75 () (not (= @t34 @t34))) % 0.38/0.58 (define @t76 () (or @t75 @t74 @t72 @t70 @t69)) % 0.38/0.58 (define @t77 () (@list @t39 @t34)) % 0.38/0.58 (define @t78 () (tptp.hq @t39 @t27)) % 0.38/0.58 (define @t79 () (not (tptp.tq @t39 @t27))) % 0.38/0.58 (define @t80 () (not @t43)) % 0.38/0.58 (define @t81 () (or @t80 @t80 @t74 @t72 @t79 @t78)) % 0.38/0.58 (define @t82 () (@list @t27)) % 0.38/0.58 (define @t83 () (or @t80 @t74 @t72 @t79 @t78)) % 0.38/0.58 (define @t84 () (forall @t82 @t83)) % 0.38/0.58 (define @t85 () (forall @t77 @t84)) % 0.38/0.58 (define @t86 () (forall (@list @t39 @t34 @t27) @t83)) % 0.38/0.58 (define @t87 () (@list @t27 @t39 @t34)) % 0.38/0.58 (define @t88 () (not (= @t39 @t39))) % 0.38/0.58 (define @t89 () (or @t88 @t80 @t74 @t72 @t79 @t78)) % 0.38/0.58 (define @t90 () (not @t44)) % 0.38/0.58 (define @t91 () (or @t90 @t90 @t80 @t74 @t72 @t30 @t47)) % 0.38/0.58 (define @t92 () (@list @t28)) % 0.38/0.58 (define @t93 () (or @t90 @t80 @t74 @t72 @t30 @t47)) % 0.38/0.58 (define @t94 () (forall @t92 @t93)) % 0.38/0.58 (define @t95 () (forall @t87 @t94)) % 0.38/0.58 (define @t96 () (forall (@list @t27 @t39 @t34 @t28) @t93)) % 0.38/0.58 (define @t97 () (and @t93 true)) % 0.38/0.58 (define @t98 () (tptp.tp @t34)) % 0.38/0.58 (define @t99 () (not @t98)) % 0.38/0.58 (define @t100 () (tptp.tp @t39)) % 0.38/0.58 (define @t101 () (not @t100)) % 0.38/0.58 (define @t102 () (or @t90 @t80 @t101 @t99 @t30)) % 0.38/0.58 (define @t103 () (and @t44 @t43 @t100 @t98 @t29)) % 0.38/0.58 (define @t104 () (or @t90 @t80 @t74 @t72 @t30)) % 0.38/0.58 (define @t105 () (and @t44 @t43 @t73 @t71 @t29)) % 0.38/0.58 (define @t106 () (and (=> @t105 @t47) (=> @t103 @t29))) % 0.38/0.58 (define @t107 () (or @t75 @t99)) % 0.38/0.58 (define @t108 () (not @t33)) % 0.38/0.58 (define @t109 () (= @t34 @t32)) % 0.38/0.58 (define @t110 () (not @t109)) % 0.38/0.58 (define @t111 () (not @t35)) % 0.38/0.58 (define @t112 () (or @t110 @t110 @t108)) % 0.38/0.58 (define @t113 () (or @t110 @t108)) % 0.38/0.58 (define @t114 () (and @t109 @t33)) % 0.38/0.58 (define @t115 () (forall @t37 (not @t114))) % 0.38/0.58 (define @t116 () (not @t115)) % 0.38/0.58 (define @t117 () (or @t88 @t101)) % 0.38/0.58 (define @t118 () (= @t39 @t32)) % 0.38/0.58 (define @t119 () (not @t118)) % 0.38/0.58 (define @t120 () (not @t40)) % 0.38/0.58 (define @t121 () (or @t119 @t119 @t108)) % 0.38/0.58 (define @t122 () (or @t119 @t108)) % 0.38/0.58 (define @t123 () (and @t118 @t33)) % 0.38/0.58 (define @t124 () (forall @t37 (not @t123))) % 0.38/0.58 (define @t125 () (not @t124)) % 0.38/0.58 (define @t126 () (or @t75 @t72)) % 0.38/0.58 (define @t127 () (not @t48)) % 0.38/0.58 (define @t128 () (or @t110 @t110 @t127)) % 0.38/0.58 (define @t129 () (or @t110 @t127)) % 0.38/0.58 (define @t130 () (and @t109 @t48)) % 0.38/0.58 (define @t131 () (forall @t37 (not @t130))) % 0.38/0.58 (define @t132 () (not @t131)) % 0.38/0.58 (define @t133 () (or @t88 @t74)) % 0.38/0.58 (define @t134 () (or @t119 @t119 @t127)) % 0.38/0.58 (define @t135 () (or @t119 @t127)) % 0.38/0.58 (define @t136 () (and @t118 @t48)) % 0.38/0.58 (define @t137 () (forall @t37 (not @t136))) % 0.38/0.58 (define @t138 () (not @t137)) % 0.38/0.58 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.38/0.58 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.38/0.58 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.38/0.58 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.38/0.58 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.38/0.58 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.38/0.58 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.38/0.58 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.38/0.58 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.38/0.58 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.38/0.58 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.38/0.58 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.38/0.58 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.38/0.58 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.38/0.58 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.38/0.58 (assume @p16 (forall (@list @t26 @t25) (=> (tptp.hq @t26 @t25) (tptp.tq @t26 @t25)))) % 0.38/0.58 (assume @p17 (forall (@list @t26) (=> (tptp.hp @t26) (tptp.tp @t26)))) % 0.38/0.58 (assume @p18 @t57) % 0.38/0.58 (assume @p19 (forall (@list @t39 @t34 @t32) (and (=> (and (exists @t67 (and @t40 @t66 (tptp.hq @t32 @t58))) (exists @t64 (and @t66 @t63 (tptp.hq @t58 @t61))) @t65 @t52 @t50 (exists @t60 (and @t59 (tptp.hp @t58)))) false) (=> (and (exists @t67 (and @t40 @t66 (tptp.tq @t32 @t58))) (exists @t64 (and @t66 @t63 @t62)) @t65 @t42 @t38 (exists @t60 (and @t59 (tptp.tp @t58)))) false)))) % 0.38/0.58 (assume @p20 @t68) % 0.38/0.58 (assume @p21 true) % 0.38/0.58 (step @p22 :rule aci_norm :args ((= (or false @t74 @t72 @t70 @t69) (or @t74 @t72 @t70 @t69)))) % 0.38/0.58 (step @p23 :rule refl :args (@t69)) % 0.38/0.58 (step @p24 :rule refl :args (@t70)) % 0.38/0.58 (step @p25 :rule refl :args (@t72)) % 0.38/0.58 (step @p26 :rule refl :args (@t74)) % 0.38/0.58 (step @p27 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p28 :rule eq-refl :args (@t34)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t75)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.58 (step @p31 :rule nary_cong :premises (@p30 @p26 @p25 @p24 @p23) :args (@t76)) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p22)) % 0.38/0.58 (step @p33 :rule cong :premises (@p32) :args ((forall @t77 @t76))) % 0.38/0.58 (step @p34 :rule quant-var-elim-eq :args ((= (forall @t82 @t81) @t76))) % 0.38/0.58 (step @p35 :rule aci_norm :args ((= @t83 @t81))) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args (@t84)) % 0.38/0.58 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args (@t85)) % 0.38/0.58 (step @p39 :rule quant-merge-prenex :args ((= @t85 @t86))) % 0.38/0.58 (step @p40 :rule symm :premises (@p39)) % 0.38/0.58 (step @p41 :rule quant_var_reordering :args ((= (forall @t87 @t83) @t86))) % 0.38/0.58 (step @p42 :rule trans :premises (@p41 @p40 @p38)) % 0.38/0.58 (step @p43 :rule trans :premises (@p42 @p33)) % 0.38/0.58 (step @p44 :rule aci_norm :args ((= (or false @t80 @t74 @t72 @t79 @t78) @t83))) % 0.38/0.58 (step @p45 :rule refl :args (@t78)) % 0.38/0.58 (step @p46 :rule refl :args (@t79)) % 0.38/0.58 (step @p47 :rule refl :args (@t80)) % 0.38/0.58 (step @p48 :rule eq-refl :args (@t39)) % 0.38/0.58 (step @p49 :rule cong :premises (@p48) :args (@t88)) % 0.38/0.58 (step @p50 :rule trans :premises (@p49 @p27)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p50 @p47 @p26 @p25 @p46 @p45) :args (@t89)) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p44)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52) :args ((forall @t87 @t89))) % 0.38/0.58 (step @p54 :rule trans :premises (@p53 @p43)) % 0.38/0.58 (step @p55 :rule quant-var-elim-eq :args ((= (forall @t92 @t91) @t89))) % 0.38/0.58 (step @p56 :rule aci_norm :args ((= @t93 @t91))) % 0.38/0.58 (step @p57 :rule cong :premises (@p56) :args (@t94)) % 0.38/0.58 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.58 (step @p59 :rule cong :premises (@p58) :args (@t95)) % 0.38/0.58 (step @p60 :rule quant-merge-prenex :args ((= @t95 @t96))) % 0.38/0.58 (step @p61 :rule symm :premises (@p60)) % 0.38/0.58 (step @p62 :rule quant_var_reordering :args ((= (forall @t56 @t93) @t96))) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p61 @p59)) % 0.38/0.58 (step @p64 :rule trans :premises (@p63 @p54)) % 0.38/0.58 (step @p65 :rule aci_norm :args ((= @t97 @t93))) % 0.38/0.58 (step @p66 :rule cong :premises (@p65) :args ((forall @t56 @t97))) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.58 (step @p68 :rule bool-or-taut2 :args ((or @t90 @t80 @t101 @t99) @t29 false false)) % 0.38/0.58 (step @p69 :rule aci_norm :args ((= (or @t102 @t29) (or @t90 @t80 @t101 @t99 @t30 @t29)))) % 0.38/0.58 (step @p70 :rule trans :premises (@p69 @p68)) % 0.38/0.58 (step @p71 :rule refl :args (@t29)) % 0.38/0.58 (step @p72 :rule aci_norm :args ((= (or @t90 (or @t80 (or @t101 (or @t99 @t30)))) @t102))) % 0.38/0.58 (step @p73 :rule bool-and-de-morgan :args (@t98 @t29 true)) % 0.38/0.58 (step @p74 :rule refl :args (@t101)) % 0.38/0.58 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t101 (not (and @t98 @t29))))) % 0.38/0.58 (step @p76 :rule bool-and-de-morgan :args (@t100 @t98 (and @t29))) % 0.38/0.58 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.58 (step @p78 :rule refl :args (@t80)) % 0.38/0.58 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t80 (not (and @t100 @t98 @t29))))) % 0.38/0.58 (step @p80 :rule bool-and-de-morgan :args (@t43 @t100 (and @t98 @t29))) % 0.38/0.58 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.58 (step @p82 :rule refl :args (@t90)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t90 (not (and @t43 @t100 @t98 @t29))))) % 0.38/0.58 (step @p84 :rule bool-and-de-morgan :args (@t44 @t43 (and @t100 @t98 @t29))) % 0.38/0.58 (step @p85 :rule trans :premises (@p84 @p83)) % 0.38/0.58 (step @p86 :rule trans :premises (@p85 @p72)) % 0.38/0.58 (step @p87 :rule nary_cong :premises (@p86 @p71) :args ((or (not @t103) @t29))) % 0.38/0.58 (step @p88 :rule trans :premises (@p87 @p70)) % 0.38/0.58 (step @p89 :rule bool-impl-elim :args (@t103 @t29)) % 0.38/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.58 (step @p91 :rule aci_norm :args ((= (or @t104 @t47) @t93))) % 0.38/0.58 (step @p92 :rule refl :args (@t47)) % 0.38/0.58 (step @p93 :rule aci_norm :args ((= (or @t90 (or @t80 (or @t74 (or @t72 @t30)))) @t104))) % 0.38/0.58 (step @p94 :rule bool-and-de-morgan :args (@t71 @t29 true)) % 0.38/0.58 (step @p95 :rule refl :args (@t74)) % 0.38/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t74 (not (and @t71 @t29))))) % 0.38/0.58 (step @p97 :rule bool-and-de-morgan :args (@t73 @t71 (and @t29))) % 0.38/0.58 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.58 (step @p99 :rule nary_cong :premises (@p78 @p98) :args ((or @t80 (not (and @t73 @t71 @t29))))) % 0.38/0.58 (step @p100 :rule bool-and-de-morgan :args (@t43 @t73 (and @t71 @t29))) % 0.38/0.58 (step @p101 :rule trans :premises (@p100 @p99)) % 0.38/0.58 (step @p102 :rule nary_cong :premises (@p82 @p101) :args ((or @t90 (not (and @t43 @t73 @t71 @t29))))) % 0.38/0.58 (step @p103 :rule bool-and-de-morgan :args (@t44 @t43 (and @t73 @t71 @t29))) % 0.38/0.58 (step @p104 :rule trans :premises (@p103 @p102)) % 0.38/0.58 (step @p105 :rule trans :premises (@p104 @p93)) % 0.38/0.58 (step @p106 :rule nary_cong :premises (@p105 @p92) :args ((or (not @t105) @t47))) % 0.38/0.58 (step @p107 :rule trans :premises (@p106 @p91)) % 0.38/0.58 (step @p108 :rule bool-impl-elim :args (@t105 @t47)) % 0.38/0.58 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.58 (step @p110 :rule nary_cong :premises (@p109 @p90) :args (@t106)) % 0.38/0.58 (step @p111 :rule cong :premises (@p110) :args ((forall @t56 @t106))) % 0.38/0.58 (step @p112 :rule trans :premises (@p111 @p67)) % 0.38/0.58 (step @p113 :rule refl :args (@t29)) % 0.38/0.58 (step @p114 :rule bool-double-not-elim :args (@t29)) % 0.38/0.58 (step @p115 :rule bool-double-not-elim :args (@t98)) % 0.38/0.58 (step @p116 :rule aci_norm :args ((= (or false @t99) @t99))) % 0.38/0.58 (step @p117 :rule refl :args (@t99)) % 0.38/0.58 (step @p118 :rule nary_cong :premises (@p30 @p117) :args (@t107)) % 0.38/0.58 (step @p119 :rule trans :premises (@p118 @p116)) % 0.38/0.58 (step @p120 :rule quant-var-elim-eq :args ((= (forall @t37 (or @t111 @t110 @t108)) @t107))) % 0.38/0.58 (step @p121 :rule refl :args (@t108)) % 0.38/0.58 (step @p122 :rule refl :args (@t110)) % 0.38/0.58 (step @p123 :rule eq-symm :args (@t34 @t32)) % 0.38/0.58 (step @p124 :rule cong :premises (@p123) :args (@t110)) % 0.38/0.58 (step @p125 :rule nary_cong :premises (@p124 @p122 @p121) :args (@t112)) % 0.38/0.58 (step @p126 :rule aci_norm :args ((= @t113 @t112))) % 0.38/0.58 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.58 (step @p128 :rule cong :premises (@p127) :args ((forall @t37 @t113))) % 0.38/0.58 (step @p129 :rule trans :premises (@p128 @p120)) % 0.38/0.58 (step @p130 :rule trans :premises (@p129 @p119)) % 0.38/0.58 (step @p131 :rule bool-and-de-morgan :args (@t109 @t33 true)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131) :args (@t115)) % 0.38/0.58 (step @p133 :rule trans :premises (@p132 @p130)) % 0.38/0.58 (step @p134 :rule cong :premises (@p133) :args (@t116)) % 0.38/0.58 (step @p135 :rule trans :premises (@p134 @p115)) % 0.38/0.58 (step @p136 :rule exists-elim :args ((= (exists @t37 @t114) @t116))) % 0.38/0.58 (step @p137 :rule trans :premises (@p136 @p135)) % 0.38/0.58 (step @p138 :rule refl :args (@t33)) % 0.38/0.58 (step @p139 :rule eq-symm :args (@t32 @t34)) % 0.38/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t36)) % 0.38/0.58 (step @p141 :rule cong :premises (@p140) :args (@t38)) % 0.38/0.58 (step @p142 :rule trans :premises (@p141 @p137)) % 0.38/0.58 (step @p143 :rule bool-double-not-elim :args (@t100)) % 0.38/0.58 (step @p144 :rule aci_norm :args ((= (or false @t101) @t101))) % 0.38/0.58 (step @p145 :rule refl :args (@t101)) % 0.38/0.58 (step @p146 :rule nary_cong :premises (@p50 @p145) :args (@t117)) % 0.38/0.58 (step @p147 :rule trans :premises (@p146 @p144)) % 0.38/0.58 (step @p148 :rule quant-var-elim-eq :args ((= (forall @t37 (or @t120 @t119 @t108)) @t117))) % 0.38/0.58 (step @p149 :rule refl :args (@t119)) % 0.38/0.58 (step @p150 :rule eq-symm :args (@t39 @t32)) % 0.38/0.58 (step @p151 :rule cong :premises (@p150) :args (@t119)) % 0.38/0.58 (step @p152 :rule nary_cong :premises (@p151 @p149 @p121) :args (@t121)) % 0.38/0.58 (step @p153 :rule aci_norm :args ((= @t122 @t121))) % 0.38/0.58 (step @p154 :rule trans :premises (@p153 @p152)) % 0.38/0.58 (step @p155 :rule cong :premises (@p154) :args ((forall @t37 @t122))) % 0.38/0.58 (step @p156 :rule trans :premises (@p155 @p148)) % 0.38/0.58 (step @p157 :rule trans :premises (@p156 @p147)) % 0.38/0.58 (step @p158 :rule bool-and-de-morgan :args (@t118 @t33 true)) % 0.38/0.58 (step @p159 :rule cong :premises (@p158) :args (@t124)) % 0.38/0.58 (step @p160 :rule trans :premises (@p159 @p157)) % 0.38/0.58 (step @p161 :rule cong :premises (@p160) :args (@t125)) % 0.38/0.58 (step @p162 :rule trans :premises (@p161 @p143)) % 0.38/0.58 (step @p163 :rule exists-elim :args ((= (exists @t37 @t123) @t125))) % 0.38/0.58 (step @p164 :rule trans :premises (@p163 @p162)) % 0.38/0.58 (step @p165 :rule eq-symm :args (@t32 @t39)) % 0.38/0.58 (step @p166 :rule nary_cong :premises (@p165 @p138) :args (@t41)) % 0.38/0.58 (step @p167 :rule cong :premises (@p166) :args (@t42)) % 0.38/0.58 (step @p168 :rule trans :premises (@p167 @p164)) % 0.38/0.58 (step @p169 :rule refl :args (@t43)) % 0.38/0.58 (step @p170 :rule refl :args (@t44)) % 0.38/0.58 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p142 @p114) :args (@t45)) % 0.38/0.58 (step @p172 :rule cong :premises (@p171 @p113) :args (@t46)) % 0.38/0.58 (step @p173 :rule refl :args (@t47)) % 0.38/0.58 (step @p174 :rule bool-double-not-elim :args (@t71)) % 0.38/0.58 (step @p175 :rule aci_norm :args ((= (or false @t72) @t72))) % 0.38/0.58 (step @p176 :rule nary_cong :premises (@p30 @p25) :args (@t126)) % 0.38/0.58 (step @p177 :rule trans :premises (@p176 @p175)) % 0.38/0.58 (step @p178 :rule quant-var-elim-eq :args ((= (forall @t37 (or @t111 @t110 @t127)) @t126))) % 0.38/0.58 (step @p179 :rule refl :args (@t127)) % 0.38/0.58 (step @p180 :rule nary_cong :premises (@p124 @p122 @p179) :args (@t128)) % 0.38/0.58 (step @p181 :rule aci_norm :args ((= @t129 @t128))) % 0.38/0.58 (step @p182 :rule trans :premises (@p181 @p180)) % 0.38/0.58 (step @p183 :rule cong :premises (@p182) :args ((forall @t37 @t129))) % 0.38/0.58 (step @p184 :rule trans :premises (@p183 @p178)) % 0.38/0.58 (step @p185 :rule trans :premises (@p184 @p177)) % 0.38/0.58 (step @p186 :rule bool-and-de-morgan :args (@t109 @t48 true)) % 0.38/0.58 (step @p187 :rule cong :premises (@p186) :args (@t131)) % 0.38/0.58 (step @p188 :rule trans :premises (@p187 @p185)) % 0.38/0.58 (step @p189 :rule cong :premises (@p188) :args (@t132)) % 0.38/0.58 (step @p190 :rule trans :premises (@p189 @p174)) % 0.38/0.58 (step @p191 :rule exists-elim :args ((= (exists @t37 @t130) @t132))) % 0.38/0.58 (step @p192 :rule trans :premises (@p191 @p190)) % 0.38/0.58 (step @p193 :rule refl :args (@t48)) % 0.38/0.58 (step @p194 :rule nary_cong :premises (@p139 @p193) :args (@t49)) % 0.38/0.58 (step @p195 :rule cong :premises (@p194) :args (@t50)) % 0.38/0.58 (step @p196 :rule trans :premises (@p195 @p192)) % 0.38/0.58 (step @p197 :rule bool-double-not-elim :args (@t73)) % 0.38/0.58 (step @p198 :rule aci_norm :args ((= (or false @t74) @t74))) % 0.38/0.58 (step @p199 :rule nary_cong :premises (@p50 @p26) :args (@t133)) % 0.38/0.58 (step @p200 :rule trans :premises (@p199 @p198)) % 0.38/0.58 (step @p201 :rule quant-var-elim-eq :args ((= (forall @t37 (or @t120 @t119 @t127)) @t133))) % 0.38/0.58 (step @p202 :rule nary_cong :premises (@p151 @p149 @p179) :args (@t134)) % 0.38/0.58 (step @p203 :rule aci_norm :args ((= @t135 @t134))) % 0.38/0.58 (step @p204 :rule trans :premises (@p203 @p202)) % 0.38/0.58 (step @p205 :rule cong :premises (@p204) :args ((forall @t37 @t135))) % 0.38/0.58 (step @p206 :rule trans :premises (@p205 @p201)) % 0.38/0.58 (step @p207 :rule trans :premises (@p206 @p200)) % 0.38/0.58 (step @p208 :rule bool-and-de-morgan :args (@t118 @t48 true)) % 0.38/0.58 (step @p209 :rule cong :premises (@p208) :args (@t137)) % 0.38/0.58 (step @p210 :rule trans :premises (@p209 @p207)) % 0.38/0.58 (step @p211 :rule cong :premises (@p210) :args (@t138)) % 0.38/0.58 (step @p212 :rule trans :premises (@p211 @p197)) % 0.38/0.58 (step @p213 :rule exists-elim :args ((= (exists @t37 @t136) @t138))) % 0.38/0.58 (step @p214 :rule trans :premises (@p213 @p212)) % 0.38/0.58 (step @p215 :rule nary_cong :premises (@p165 @p193) :args (@t51)) % 0.38/0.58 (step @p216 :rule cong :premises (@p215) :args (@t52)) % 0.38/0.58 (step @p217 :rule trans :premises (@p216 @p214)) % 0.38/0.58 (step @p218 :rule nary_cong :premises (@p170 @p169 @p217 @p196 @p114) :args (@t53)) % 0.38/0.58 (step @p219 :rule cong :premises (@p218 @p173) :args (@t54)) % 0.38/0.58 (step @p220 :rule nary_cong :premises (@p219 @p172) :args (@t55)) % 0.38/0.58 (step @p221 :rule cong :premises (@p220) :args (@t57)) % 0.38/0.58 (step @p222 :rule trans :premises (@p221 @p112)) % 0.38/0.58 (step @p223 :rule cong :premises (@p222) :args (@t68)) % 0.38/0.58 (step @p224 :rule eq_resolve :premises (@p20 @p223)) % 0.38/0.58 (step @p225 :rule eq_resolve :premises (@p18 @p222)) % 0.38/0.58 (step @p226 false :rule contra :premises (@p225 @p224)) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------