%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX086_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 : n015.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 09:07:06 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWX086_1 : TPTP v9.2.1. Released v9.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 22:55:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_ARI % 0.39/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort tptp.symbol 0) % 0.39/0.59 (declare-sort tptp.general 0) % 0.39/0.59 (declare-const tptp.in_building_p (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.39/0.59 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.39/0.59 (declare-const tptp.c__supremum__ tptp.general) % 0.39/0.59 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.39/0.59 (declare-const tptp.person (-> tptp.general Bool)) % 0.39/0.59 (declare-const tptp.c__infimum__ tptp.general) % 0.39/0.59 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.39/0.59 (declare-const tptp.in0 (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.goto (-> tptp.general tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.go (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.in_building (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.h_i Int) % 0.39/0.59 (declare-const tptp.in (-> tptp.general tptp.general tptp.general Bool)) % 0.39/0.59 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.39/0.59 (define @t1 () (@var "N" Int)) % 0.39/0.59 (define @t2 () (tptp.f__integer__ @t1)) % 0.39/0.59 (define @t3 () (@var "X" tptp.general)) % 0.39/0.59 (define @t4 () (@list @t1)) % 0.39/0.59 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.39/0.59 (define @t6 () (@list @t3)) % 0.39/0.59 (define @t7 () (@var "X2" tptp.symbol)) % 0.39/0.59 (define @t8 () (@var "X1" tptp.general)) % 0.39/0.59 (define @t9 () (@var "N2" Int)) % 0.39/0.59 (define @t10 () (@var "N1" Int)) % 0.39/0.59 (define @t11 () (tptp.f__integer__ @t9)) % 0.39/0.59 (define @t12 () (tptp.f__integer__ @t10)) % 0.39/0.59 (define @t13 () (@list @t10 @t9)) % 0.39/0.59 (define @t14 () (@var "S2" tptp.symbol)) % 0.39/0.59 (define @t15 () (@var "S1" tptp.symbol)) % 0.39/0.59 (define @t16 () (@var "X2" tptp.general)) % 0.39/0.59 (define @t17 () (= @t8 @t16)) % 0.39/0.59 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.39/0.59 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.39/0.59 (define @t20 () (@list @t8 @t16)) % 0.39/0.59 (define @t21 () (@var "X3" tptp.general)) % 0.39/0.59 (define @t22 () (not @t17)) % 0.39/0.59 (define @t23 () (@var "S" tptp.symbol)) % 0.39/0.59 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.39/0.59 (define @t25 () (@var "X_g" tptp.general)) % 0.39/0.59 (define @t26 () (tptp.person @t25)) % 0.39/0.59 (define @t27 () (@var "Y_g" tptp.general)) % 0.39/0.59 (define @t28 () (@var "Z_g" tptp.general)) % 0.39/0.59 (define @t29 () (@var "Z2_g" tptp.general)) % 0.39/0.59 (define @t30 () (@var "Z1_g" tptp.general)) % 0.39/0.59 (define @t31 () (@var "T_g" tptp.general)) % 0.39/0.59 (define @t32 () (= @t29 @t31)) % 0.39/0.59 (define @t33 () (@var "R_g" tptp.general)) % 0.39/0.59 (define @t34 () (= @t30 @t33)) % 0.39/0.59 (define @t35 () (@var "P_g" tptp.general)) % 0.39/0.59 (define @t36 () (= @t28 @t35)) % 0.39/0.59 (define @t37 () (@list @t28 @t30 @t29)) % 0.39/0.59 (define @t38 () (exists @t37 (and @t36 @t34 @t32 (tptp.goto @t28 @t30 @t29)))) % 0.39/0.59 (define @t39 () (@var "V2_g" tptp.general)) % 0.39/0.59 (define @t40 () (= @t39 @t31)) % 0.39/0.59 (define @t41 () (@var "V1_g" tptp.general)) % 0.39/0.59 (define @t42 () (= @t41 @t35)) % 0.39/0.59 (define @t43 () (@list @t35 @t31 @t33)) % 0.39/0.59 (define @t44 () (@list @t41 @t39)) % 0.39/0.59 (define @t45 () (tptp.in @t28 @t30 @t29)) % 0.39/0.59 (define @t46 () (exists @t37 (and @t36 @t34 @t32 @t45))) % 0.39/0.59 (define @t47 () (exists @t43 (and @t42 @t40 @t46))) % 0.39/0.59 (define @t48 () (= @t28 @t30)) % 0.39/0.59 (define @t49 () (not @t48)) % 0.39/0.59 (define @t50 () (@var "R2_g" tptp.general)) % 0.39/0.59 (define @t51 () (= @t30 @t50)) % 0.39/0.59 (define @t52 () (@var "R1_g" tptp.general)) % 0.39/0.59 (define @t53 () (= @t28 @t52)) % 0.39/0.59 (define @t54 () (and @t53 @t51 @t49)) % 0.39/0.59 (define @t55 () (@list @t28 @t30)) % 0.39/0.59 (define @t56 () (exists @t55 @t54)) % 0.39/0.59 (define @t57 () (and @t36 @t51 @t32 @t45)) % 0.39/0.59 (define @t58 () (exists @t37 @t57)) % 0.39/0.59 (define @t59 () (= @t30 @t52)) % 0.39/0.59 (define @t60 () (and @t36 @t59 @t32 @t45)) % 0.39/0.59 (define @t61 () (exists @t37 @t60)) % 0.39/0.59 (define @t62 () (and @t61 @t58 @t56)) % 0.39/0.59 (define @t63 () (@list @t35 @t52 @t31 @t50)) % 0.39/0.59 (define @t64 () (forall @t63 (=> @t62 false))) % 0.39/0.59 (define @t65 () (@var "J_i" Int)) % 0.39/0.59 (define @t66 () (@var "K_i" Int)) % 0.39/0.59 (define @t67 () (<= @t66 @t65)) % 0.39/0.59 (define @t68 () (@var "I_i" Int)) % 0.39/0.59 (define @t69 () (<= @t68 @t66)) % 0.39/0.59 (define @t70 () (= @t30 (tptp.f__integer__ @t66))) % 0.39/0.59 (define @t71 () (= @t68 0)) % 0.39/0.59 (define @t72 () (@list @t68 @t65 @t66)) % 0.39/0.59 (define @t73 () (= @t28 @t31)) % 0.39/0.59 (define @t74 () (@list @t28)) % 0.39/0.59 (define @t75 () (= @t30 @t31)) % 0.39/0.59 (define @t76 () (@var "J1_i" Int)) % 0.39/0.59 (define @t77 () (@var "V3_g" tptp.general)) % 0.39/0.59 (define @t78 () (exists (@list @t68 @t65) (and (= @t77 (tptp.f__integer__ (+ @t68 @t65))) (= (tptp.f__integer__ @t68) @t31) (= @t65 1)))) % 0.39/0.59 (define @t79 () (= @t39 @t33)) % 0.39/0.59 (define @t80 () (@list @t35 @t33 @t31)) % 0.39/0.59 (define @t81 () (not @t64)) % 0.39/0.59 (define @t82 () (= @t52 @t50)) % 0.39/0.59 (define @t83 () (tptp.in @t35 @t50 @t31)) % 0.39/0.59 (define @t84 () (not @t83)) % 0.39/0.59 (define @t85 () (tptp.in @t35 @t52 @t31)) % 0.39/0.59 (define @t86 () (not @t85)) % 0.39/0.59 (define @t87 () (not @t82)) % 0.39/0.59 (define @t88 () (not @t87)) % 0.39/0.59 (define @t89 () (or @t86 @t84 @t88)) % 0.39/0.59 (define @t90 () (not (= @t50 @t50))) % 0.39/0.59 (define @t91 () (or @t90 (= @t50 @t52))) % 0.39/0.59 (define @t92 () (not @t51)) % 0.39/0.59 (define @t93 () (or @t92 @t92 @t59)) % 0.39/0.59 (define @t94 () (@list @t30)) % 0.39/0.59 (define @t95 () (or @t92 @t59)) % 0.39/0.59 (define @t96 () (not (= @t52 @t52))) % 0.39/0.59 (define @t97 () (or @t96 @t92 (= @t52 @t30))) % 0.39/0.59 (define @t98 () (not @t53)) % 0.39/0.59 (define @t99 () (or @t98 @t98 @t92 @t48)) % 0.39/0.59 (define @t100 () (or @t98 @t92 @t48)) % 0.39/0.59 (define @t101 () (forall @t74 @t100)) % 0.39/0.59 (define @t102 () (forall @t94 @t101)) % 0.39/0.59 (define @t103 () (forall (@list @t30 @t28) @t100)) % 0.39/0.59 (define @t104 () (not @t49)) % 0.39/0.59 (define @t105 () (or @t98 @t92 @t104)) % 0.39/0.59 (define @t106 () (forall @t55 (not @t54))) % 0.39/0.59 (define @t107 () (not @t106)) % 0.39/0.59 (define @t108 () (not (= @t31 @t31))) % 0.39/0.59 (define @t109 () (or @t108 @t84)) % 0.39/0.59 (define @t110 () (not (tptp.in @t35 @t50 @t29))) % 0.39/0.59 (define @t111 () (= @t31 @t29)) % 0.39/0.59 (define @t112 () (not @t111)) % 0.39/0.59 (define @t113 () (not @t32)) % 0.39/0.59 (define @t114 () (@list @t29)) % 0.39/0.59 (define @t115 () (or @t112 @t112 @t110)) % 0.39/0.59 (define @t116 () (or @t112 @t110)) % 0.39/0.59 (define @t117 () (or @t90 @t112 @t110)) % 0.39/0.59 (define @t118 () (not (tptp.in @t35 @t30 @t29))) % 0.39/0.59 (define @t119 () (or @t92 @t92 @t112 @t118)) % 0.39/0.59 (define @t120 () (or @t92 @t112 @t118)) % 0.39/0.59 (define @t121 () (forall @t94 @t120)) % 0.39/0.59 (define @t122 () (forall @t114 @t121)) % 0.39/0.59 (define @t123 () (@list @t29 @t30)) % 0.39/0.59 (define @t124 () (forall @t123 @t120)) % 0.39/0.59 (define @t125 () (@list @t30 @t29)) % 0.39/0.59 (define @t126 () (not (= @t35 @t35))) % 0.39/0.59 (define @t127 () (or @t126 @t92 @t112 @t118)) % 0.39/0.59 (define @t128 () (not @t45)) % 0.39/0.59 (define @t129 () (not @t36)) % 0.39/0.59 (define @t130 () (or @t129 @t129 @t92 @t112 @t128)) % 0.39/0.59 (define @t131 () (or @t129 @t92 @t112 @t128)) % 0.39/0.59 (define @t132 () (forall @t74 @t131)) % 0.39/0.59 (define @t133 () (forall @t125 @t132)) % 0.39/0.59 (define @t134 () (@list @t30 @t29 @t28)) % 0.39/0.59 (define @t135 () (forall @t134 @t131)) % 0.39/0.59 (define @t136 () (or @t112 @t128)) % 0.39/0.59 (define @t137 () (not (and @t111 @t45))) % 0.39/0.59 (define @t138 () (and @t36 @t51 @t111 @t45)) % 0.39/0.59 (define @t139 () (forall @t37 (not @t138))) % 0.39/0.59 (define @t140 () (not @t139)) % 0.39/0.59 (define @t141 () (or @t108 @t86)) % 0.39/0.59 (define @t142 () (not (tptp.in @t35 @t52 @t29))) % 0.39/0.59 (define @t143 () (or @t112 @t112 @t142)) % 0.39/0.59 (define @t144 () (or @t112 @t142)) % 0.39/0.59 (define @t145 () (or @t96 @t112 @t142)) % 0.39/0.59 (define @t146 () (not @t59)) % 0.39/0.59 (define @t147 () (or @t146 @t146 @t112 @t118)) % 0.39/0.59 (define @t148 () (or @t146 @t112 @t118)) % 0.39/0.59 (define @t149 () (forall @t94 @t148)) % 0.39/0.59 (define @t150 () (forall @t114 @t149)) % 0.39/0.59 (define @t151 () (forall @t123 @t148)) % 0.39/0.59 (define @t152 () (or @t126 @t146 @t112 @t118)) % 0.39/0.59 (define @t153 () (or @t129 @t129 @t146 @t112 @t128)) % 0.39/0.59 (define @t154 () (or @t129 @t146 @t112 @t128)) % 0.39/0.59 (define @t155 () (forall @t74 @t154)) % 0.39/0.59 (define @t156 () (forall @t125 @t155)) % 0.39/0.59 (define @t157 () (forall @t134 @t154)) % 0.39/0.59 (define @t158 () (and @t36 @t59 @t111 @t45)) % 0.39/0.59 (define @t159 () (forall @t37 (not @t158))) % 0.39/0.59 (define @t160 () (not @t159)) % 0.39/0.59 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.39/0.59 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.39/0.59 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.39/0.59 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.39/0.59 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.39/0.59 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.39/0.59 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.39/0.59 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.39/0.59 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.39/0.59 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.39/0.59 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.39/0.59 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.39/0.59 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.39/0.59 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.39/0.59 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.39/0.59 (assume @p16 (>= tptp.h_i 0)) % 0.39/0.59 (assume @p17 (forall (@list @t25 @t27) (=> (tptp.in0 @t25 @t27) @t26))) % 0.39/0.59 (assume @p18 (forall (@list @t25 @t27 @t28) (=> (tptp.goto @t25 @t27 @t28) @t26))) % 0.39/0.59 (assume @p19 (forall @t44 (= (tptp.go @t41 @t39) (exists @t43 (and @t42 @t40 @t38))))) % 0.39/0.59 (assume @p20 (forall @t44 (= (tptp.in_building @t41 @t39) @t47))) % 0.39/0.59 (assume @p21 (forall @t44 (= (tptp.in_building_p @t41 @t39) @t47))) % 0.39/0.59 (assume @p22 @t64) % 0.39/0.59 (assume @p23 (forall (@list @t35 @t31) (=> (and (exists @t55 (and @t36 @t75 (not (tptp.in_building @t28 @t30)))) (exists @t74 (and @t36 (tptp.person @t28))) (exists @t55 (and @t73 (exists @t72 (and @t71 (= @t65 tptp.h_i) @t70 @t69 @t67)) @t48))) false))) % 0.39/0.59 (assume @p24 (forall (@list @t41 @t39 @t77) (= (tptp.in @t41 @t39 @t77) (or (exists (@list @t35 @t33) (and @t42 @t79 (= @t77 (tptp.f__integer__ 0)) (exists @t55 (and @t36 @t34 (tptp.in0 @t28 @t30))))) (exists @t80 (and @t42 @t79 @t78 @t38)) (exists @t80 (and @t42 @t79 @t78 @t46 (exists @t55 (and @t36 @t75 (not (tptp.go @t28 @t30)))) (exists @t55 (and @t73 (exists @t72 (and @t71 (exists (@list @t68 @t76) (and (= @t65 (- @t68 @t76)) (= @t68 tptp.h_i) (= @t76 1))) @t70 @t69 @t67)) @t48)))))))) % 0.39/0.59 (assume @p25 @t81) % 0.39/0.59 (assume @p26 true) % 0.39/0.59 (step @p27 :rule bool-double-not-elim :args (@t82)) % 0.39/0.59 (step @p28 :rule refl :args (@t84)) % 0.39/0.59 (step @p29 :rule refl :args (@t86)) % 0.39/0.59 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t89)) % 0.39/0.59 (step @p31 :rule aci_norm :args ((= (or @t86 (or @t84 @t88)) @t89))) % 0.39/0.59 (step @p32 :rule trans :premises (@p31 @p30)) % 0.39/0.59 (step @p33 :rule bool-and-de-morgan :args (@t83 @t87 true)) % 0.39/0.59 (step @p34 :rule nary_cong :premises (@p29 @p33) :args ((or @t86 (not (and @t83 @t87))))) % 0.39/0.59 (step @p35 :rule bool-and-de-morgan :args (@t85 @t83 (and @t87))) % 0.39/0.59 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.59 (step @p37 :rule trans :premises (@p36 @p32)) % 0.39/0.59 (step @p38 :rule cong :premises (@p37) :args ((forall @t63 (not (and @t85 @t83 @t87))))) % 0.39/0.59 (step @p39 :rule aci_norm :args ((= (or false @t82) @t82))) % 0.39/0.59 (step @p40 :rule eq-symm :args (@t50 @t52)) % 0.39/0.59 (step @p41 :rule evaluate :args ((not true))) % 0.39/0.59 (step @p42 :rule eq-refl :args (@t50)) % 0.39/0.59 (step @p43 :rule cong :premises (@p42) :args (@t90)) % 0.39/0.59 (step @p44 :rule trans :premises (@p43 @p41)) % 0.39/0.59 (step @p45 :rule nary_cong :premises (@p44 @p40) :args (@t91)) % 0.39/0.59 (step @p46 :rule trans :premises (@p45 @p39)) % 0.39/0.59 (step @p47 :rule quant-var-elim-eq :args ((= (forall @t94 @t93) @t91))) % 0.39/0.59 (step @p48 :rule aci_norm :args ((= @t95 @t93))) % 0.39/0.59 (step @p49 :rule cong :premises (@p48) :args ((forall @t94 @t95))) % 0.39/0.59 (step @p50 :rule trans :premises (@p49 @p47)) % 0.39/0.59 (step @p51 :rule trans :premises (@p50 @p46)) % 0.39/0.59 (step @p52 :rule aci_norm :args ((= (or false @t92 @t59) @t95))) % 0.39/0.59 (step @p53 :rule eq-symm :args (@t52 @t30)) % 0.39/0.59 (step @p54 :rule refl :args (@t92)) % 0.39/0.59 (step @p55 :rule eq-refl :args (@t52)) % 0.39/0.59 (step @p56 :rule cong :premises (@p55) :args (@t96)) % 0.39/0.59 (step @p57 :rule trans :premises (@p56 @p41)) % 0.39/0.59 (step @p58 :rule nary_cong :premises (@p57 @p54 @p53) :args (@t97)) % 0.39/0.59 (step @p59 :rule trans :premises (@p58 @p52)) % 0.39/0.59 (step @p60 :rule cong :premises (@p59) :args ((forall @t94 @t97))) % 0.39/0.59 (step @p61 :rule trans :premises (@p60 @p51)) % 0.39/0.59 (step @p62 :rule quant-var-elim-eq :args ((= (forall @t74 @t99) @t97))) % 0.39/0.59 (step @p63 :rule aci_norm :args ((= @t100 @t99))) % 0.39/0.59 (step @p64 :rule cong :premises (@p63) :args (@t101)) % 0.39/0.59 (step @p65 :rule trans :premises (@p64 @p62)) % 0.39/0.59 (step @p66 :rule cong :premises (@p65) :args (@t102)) % 0.39/0.59 (step @p67 :rule quant-merge-prenex :args ((= @t102 @t103))) % 0.39/0.59 (step @p68 :rule symm :premises (@p67)) % 0.39/0.59 (step @p69 :rule quant_var_reordering :args ((= (forall @t55 @t100) @t103))) % 0.39/0.59 (step @p70 :rule trans :premises (@p69 @p68 @p66)) % 0.39/0.59 (step @p71 :rule trans :premises (@p70 @p61)) % 0.39/0.59 (step @p72 :rule bool-double-not-elim :args (@t48)) % 0.39/0.59 (step @p73 :rule refl :args (@t92)) % 0.39/0.59 (step @p74 :rule refl :args (@t98)) % 0.39/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t105)) % 0.39/0.59 (step @p76 :rule aci_norm :args ((= (or @t98 (or @t92 @t104)) @t105))) % 0.39/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.39/0.59 (step @p78 :rule bool-and-de-morgan :args (@t51 @t49 true)) % 0.39/0.59 (step @p79 :rule nary_cong :premises (@p74 @p78) :args ((or @t98 (not (and @t51 @t49))))) % 0.39/0.59 (step @p80 :rule bool-and-de-morgan :args (@t53 @t51 (and @t49))) % 0.39/0.59 (step @p81 :rule trans :premises (@p80 @p79)) % 0.39/0.59 (step @p82 :rule trans :premises (@p81 @p77)) % 0.39/0.59 (step @p83 :rule cong :premises (@p82) :args (@t106)) % 0.39/0.59 (step @p84 :rule trans :premises (@p83 @p71)) % 0.39/0.59 (step @p85 :rule cong :premises (@p84) :args (@t107)) % 0.39/0.59 (step @p86 :rule exists-elim :args ((= @t56 @t107))) % 0.39/0.59 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.59 (step @p88 :rule bool-double-not-elim :args (@t83)) % 0.39/0.59 (step @p89 :rule aci_norm :args ((= (or false @t84) @t84))) % 0.39/0.59 (step @p90 :rule refl :args (@t84)) % 0.39/0.59 (step @p91 :rule eq-refl :args (@t31)) % 0.39/0.59 (step @p92 :rule cong :premises (@p91) :args (@t108)) % 0.39/0.59 (step @p93 :rule trans :premises (@p92 @p41)) % 0.39/0.59 (step @p94 :rule nary_cong :premises (@p93 @p90) :args (@t109)) % 0.39/0.59 (step @p95 :rule trans :premises (@p94 @p89)) % 0.39/0.59 (step @p96 :rule quant-var-elim-eq :args ((= (forall @t114 (or @t113 @t112 @t110)) @t109))) % 0.39/0.59 (step @p97 :rule refl :args (@t110)) % 0.39/0.59 (step @p98 :rule refl :args (@t112)) % 0.39/0.59 (step @p99 :rule eq-symm :args (@t31 @t29)) % 0.39/0.59 (step @p100 :rule cong :premises (@p99) :args (@t112)) % 0.39/0.59 (step @p101 :rule nary_cong :premises (@p100 @p98 @p97) :args (@t115)) % 0.39/0.59 (step @p102 :rule aci_norm :args ((= @t116 @t115))) % 0.39/0.59 (step @p103 :rule trans :premises (@p102 @p101)) % 0.39/0.59 (step @p104 :rule cong :premises (@p103) :args ((forall @t114 @t116))) % 0.39/0.59 (step @p105 :rule trans :premises (@p104 @p96)) % 0.39/0.59 (step @p106 :rule trans :premises (@p105 @p95)) % 0.39/0.59 (step @p107 :rule aci_norm :args ((= (or false @t112 @t110) @t116))) % 0.39/0.59 (step @p108 :rule refl :args (@t110)) % 0.39/0.59 (step @p109 :rule refl :args (@t112)) % 0.39/0.59 (step @p110 :rule nary_cong :premises (@p44 @p109 @p108) :args (@t117)) % 0.39/0.59 (step @p111 :rule trans :premises (@p110 @p107)) % 0.39/0.59 (step @p112 :rule cong :premises (@p111) :args ((forall @t114 @t117))) % 0.39/0.59 (step @p113 :rule trans :premises (@p112 @p106)) % 0.39/0.59 (step @p114 :rule quant-var-elim-eq :args ((= (forall @t94 @t119) @t117))) % 0.39/0.59 (step @p115 :rule aci_norm :args ((= @t120 @t119))) % 0.39/0.59 (step @p116 :rule cong :premises (@p115) :args (@t121)) % 0.39/0.59 (step @p117 :rule trans :premises (@p116 @p114)) % 0.39/0.59 (step @p118 :rule cong :premises (@p117) :args (@t122)) % 0.39/0.59 (step @p119 :rule quant-merge-prenex :args ((= @t122 @t124))) % 0.39/0.59 (step @p120 :rule symm :premises (@p119)) % 0.39/0.59 (step @p121 :rule quant_var_reordering :args ((= (forall @t125 @t120) @t124))) % 0.39/0.59 (step @p122 :rule trans :premises (@p121 @p120 @p118)) % 0.39/0.59 (step @p123 :rule trans :premises (@p122 @p113)) % 0.39/0.59 (step @p124 :rule aci_norm :args ((= (or false @t92 @t112 @t118) @t120))) % 0.39/0.59 (step @p125 :rule refl :args (@t118)) % 0.39/0.59 (step @p126 :rule eq-refl :args (@t35)) % 0.39/0.59 (step @p127 :rule cong :premises (@p126) :args (@t126)) % 0.39/0.59 (step @p128 :rule trans :premises (@p127 @p41)) % 0.39/0.59 (step @p129 :rule nary_cong :premises (@p128 @p54 @p109 @p125) :args (@t127)) % 0.39/0.59 (step @p130 :rule trans :premises (@p129 @p124)) % 0.39/0.59 (step @p131 :rule cong :premises (@p130) :args ((forall @t125 @t127))) % 0.39/0.59 (step @p132 :rule trans :premises (@p131 @p123)) % 0.39/0.59 (step @p133 :rule quant-var-elim-eq :args ((= (forall @t74 @t130) @t127))) % 0.39/0.59 (step @p134 :rule aci_norm :args ((= @t131 @t130))) % 0.39/0.59 (step @p135 :rule cong :premises (@p134) :args (@t132)) % 0.39/0.59 (step @p136 :rule trans :premises (@p135 @p133)) % 0.39/0.59 (step @p137 :rule cong :premises (@p136) :args (@t133)) % 0.39/0.59 (step @p138 :rule quant-merge-prenex :args ((= @t133 @t135))) % 0.39/0.59 (step @p139 :rule symm :premises (@p138)) % 0.39/0.59 (step @p140 :rule quant_var_reordering :args ((= (forall @t37 @t131) @t135))) % 0.39/0.59 (step @p141 :rule trans :premises (@p140 @p139 @p137)) % 0.39/0.59 (step @p142 :rule trans :premises (@p141 @p132)) % 0.39/0.59 (step @p143 :rule aci_norm :args ((= (or @t129 (or @t92 @t136)) @t131))) % 0.39/0.59 (step @p144 :rule bool-and-de-morgan :args (@t111 @t45 true)) % 0.39/0.59 (step @p145 :rule nary_cong :premises (@p73 @p144) :args ((or @t92 @t137))) % 0.39/0.59 (step @p146 :rule bool-and-de-morgan :args (@t51 @t111 (and @t45))) % 0.39/0.59 (step @p147 :rule trans :premises (@p146 @p145)) % 0.39/0.59 (step @p148 :rule refl :args (@t129)) % 0.39/0.59 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t129 (not (and @t51 @t111 @t45))))) % 0.39/0.59 (step @p150 :rule bool-and-de-morgan :args (@t36 @t51 (and @t111 @t45))) % 0.39/0.59 (step @p151 :rule trans :premises (@p150 @p149)) % 0.39/0.59 (step @p152 :rule trans :premises (@p151 @p143)) % 0.39/0.59 (step @p153 :rule cong :premises (@p152) :args (@t139)) % 0.39/0.59 (step @p154 :rule trans :premises (@p153 @p142)) % 0.39/0.59 (step @p155 :rule cong :premises (@p154) :args (@t140)) % 0.39/0.59 (step @p156 :rule trans :premises (@p155 @p88)) % 0.39/0.59 (step @p157 :rule exists-elim :args ((= (exists @t37 @t138) @t140))) % 0.39/0.59 (step @p158 :rule trans :premises (@p157 @p156)) % 0.39/0.59 (step @p159 :rule refl :args (@t45)) % 0.39/0.59 (step @p160 :rule eq-symm :args (@t29 @t31)) % 0.39/0.59 (step @p161 :rule refl :args (@t51)) % 0.39/0.59 (step @p162 :rule refl :args (@t36)) % 0.39/0.59 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160 @p159) :args (@t57)) % 0.39/0.59 (step @p164 :rule cong :premises (@p163) :args (@t58)) % 0.39/0.59 (step @p165 :rule trans :premises (@p164 @p158)) % 0.39/0.59 (step @p166 :rule bool-double-not-elim :args (@t85)) % 0.39/0.59 (step @p167 :rule aci_norm :args ((= (or false @t86) @t86))) % 0.39/0.59 (step @p168 :rule refl :args (@t86)) % 0.39/0.59 (step @p169 :rule nary_cong :premises (@p93 @p168) :args (@t141)) % 0.39/0.59 (step @p170 :rule trans :premises (@p169 @p167)) % 0.39/0.59 (step @p171 :rule quant-var-elim-eq :args ((= (forall @t114 (or @t113 @t112 @t142)) @t141))) % 0.39/0.59 (step @p172 :rule refl :args (@t142)) % 0.39/0.59 (step @p173 :rule nary_cong :premises (@p100 @p98 @p172) :args (@t143)) % 0.39/0.59 (step @p174 :rule aci_norm :args ((= @t144 @t143))) % 0.39/0.59 (step @p175 :rule trans :premises (@p174 @p173)) % 0.39/0.59 (step @p176 :rule cong :premises (@p175) :args ((forall @t114 @t144))) % 0.39/0.59 (step @p177 :rule trans :premises (@p176 @p171)) % 0.39/0.59 (step @p178 :rule trans :premises (@p177 @p170)) % 0.39/0.59 (step @p179 :rule aci_norm :args ((= (or false @t112 @t142) @t144))) % 0.39/0.59 (step @p180 :rule refl :args (@t142)) % 0.39/0.59 (step @p181 :rule nary_cong :premises (@p57 @p109 @p180) :args (@t145)) % 0.39/0.59 (step @p182 :rule trans :premises (@p181 @p179)) % 0.39/0.59 (step @p183 :rule cong :premises (@p182) :args ((forall @t114 @t145))) % 0.39/0.59 (step @p184 :rule trans :premises (@p183 @p178)) % 0.39/0.59 (step @p185 :rule quant-var-elim-eq :args ((= (forall @t94 @t147) @t145))) % 0.39/0.59 (step @p186 :rule aci_norm :args ((= @t148 @t147))) % 0.39/0.59 (step @p187 :rule cong :premises (@p186) :args (@t149)) % 0.39/0.59 (step @p188 :rule trans :premises (@p187 @p185)) % 0.39/0.59 (step @p189 :rule cong :premises (@p188) :args (@t150)) % 0.39/0.59 (step @p190 :rule quant-merge-prenex :args ((= @t150 @t151))) % 0.39/0.59 (step @p191 :rule symm :premises (@p190)) % 0.39/0.59 (step @p192 :rule quant_var_reordering :args ((= (forall @t125 @t148) @t151))) % 0.39/0.59 (step @p193 :rule trans :premises (@p192 @p191 @p189)) % 0.39/0.59 (step @p194 :rule trans :premises (@p193 @p184)) % 0.39/0.59 (step @p195 :rule aci_norm :args ((= (or false @t146 @t112 @t118) @t148))) % 0.39/0.59 (step @p196 :rule refl :args (@t146)) % 0.39/0.59 (step @p197 :rule nary_cong :premises (@p128 @p196 @p109 @p125) :args (@t152)) % 0.39/0.59 (step @p198 :rule trans :premises (@p197 @p195)) % 0.39/0.59 (step @p199 :rule cong :premises (@p198) :args ((forall @t125 @t152))) % 0.39/0.59 (step @p200 :rule trans :premises (@p199 @p194)) % 0.39/0.59 (step @p201 :rule quant-var-elim-eq :args ((= (forall @t74 @t153) @t152))) % 0.39/0.59 (step @p202 :rule aci_norm :args ((= @t154 @t153))) % 0.39/0.59 (step @p203 :rule cong :premises (@p202) :args (@t155)) % 0.39/0.59 (step @p204 :rule trans :premises (@p203 @p201)) % 0.39/0.59 (step @p205 :rule cong :premises (@p204) :args (@t156)) % 0.39/0.59 (step @p206 :rule quant-merge-prenex :args ((= @t156 @t157))) % 0.39/0.59 (step @p207 :rule symm :premises (@p206)) % 0.39/0.59 (step @p208 :rule quant_var_reordering :args ((= (forall @t37 @t154) @t157))) % 0.39/0.59 (step @p209 :rule trans :premises (@p208 @p207 @p205)) % 0.39/0.59 (step @p210 :rule trans :premises (@p209 @p200)) % 0.39/0.59 (step @p211 :rule aci_norm :args ((= (or @t129 (or @t146 @t136)) @t154))) % 0.39/0.59 (step @p212 :rule refl :args (@t146)) % 0.39/0.59 (step @p213 :rule nary_cong :premises (@p212 @p144) :args ((or @t146 @t137))) % 0.39/0.59 (step @p214 :rule bool-and-de-morgan :args (@t59 @t111 (and @t45))) % 0.39/0.59 (step @p215 :rule trans :premises (@p214 @p213)) % 0.39/0.59 (step @p216 :rule nary_cong :premises (@p148 @p215) :args ((or @t129 (not (and @t59 @t111 @t45))))) % 0.39/0.59 (step @p217 :rule bool-and-de-morgan :args (@t36 @t59 (and @t111 @t45))) % 0.39/0.59 (step @p218 :rule trans :premises (@p217 @p216)) % 0.39/0.59 (step @p219 :rule trans :premises (@p218 @p211)) % 0.39/0.59 (step @p220 :rule cong :premises (@p219) :args (@t159)) % 0.39/0.59 (step @p221 :rule trans :premises (@p220 @p210)) % 0.39/0.59 (step @p222 :rule cong :premises (@p221) :args (@t160)) % 0.39/0.59 (step @p223 :rule trans :premises (@p222 @p166)) % 0.39/0.59 (step @p224 :rule exists-elim :args ((= (exists @t37 @t158) @t160))) % 0.39/0.59 (step @p225 :rule trans :premises (@p224 @p223)) % 0.39/0.59 (step @p226 :rule refl :args (@t59)) % 0.39/0.59 (step @p227 :rule nary_cong :premises (@p162 @p226 @p160 @p159) :args (@t60)) % 0.39/0.59 (step @p228 :rule cong :premises (@p227) :args (@t61)) % 0.39/0.59 (step @p229 :rule trans :premises (@p228 @p225)) % 0.39/0.59 (step @p230 :rule nary_cong :premises (@p229 @p165 @p87) :args (@t62)) % 0.39/0.59 (step @p231 :rule cong :premises (@p230) :args ((not @t62))) % 0.39/0.59 (step @p232 :rule bool-impl-false1 :args (@t62)) % 0.39/0.59 (step @p233 :rule trans :premises (@p232 @p231)) % 0.39/0.59 (step @p234 :rule cong :premises (@p233) :args (@t64)) % 0.39/0.59 (step @p235 :rule trans :premises (@p234 @p38)) % 0.39/0.59 (step @p236 :rule cong :premises (@p235) :args (@t81)) % 0.39/0.59 (step @p237 :rule eq_resolve :premises (@p25 @p236)) % 0.39/0.59 (step @p238 :rule eq_resolve :premises (@p22 @p235)) % 0.39/0.59 (step @p239 false :rule contra :premises (@p238 @p237)) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------