%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX080_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX080_1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:56:06 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.38/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort tptp.symbol 0) % 0.38/0.59 (declare-sort tptp.general 0) % 0.38/0.59 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.38/0.59 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.38/0.59 (declare-const tptp.covered (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.c__supremum__ tptp.general) % 0.38/0.59 (declare-const tptp.c__infimum__ tptp.general) % 0.38/0.59 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.s (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.n_i Int) % 0.38/0.59 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.in_cover (-> tptp.general Bool)) % 0.38/0.59 (define @t1 () (@var "N" Int)) % 0.38/0.59 (define @t2 () (tptp.f__integer__ @t1)) % 0.38/0.59 (define @t3 () (@var "X" tptp.general)) % 0.38/0.59 (define @t4 () (@list @t1)) % 0.38/0.59 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.38/0.59 (define @t6 () (@list @t3)) % 0.38/0.59 (define @t7 () (@var "X2" tptp.symbol)) % 0.38/0.59 (define @t8 () (@var "X1" tptp.general)) % 0.38/0.59 (define @t9 () (@var "N2" Int)) % 0.38/0.59 (define @t10 () (@var "N1" Int)) % 0.38/0.59 (define @t11 () (tptp.f__integer__ @t9)) % 0.38/0.59 (define @t12 () (tptp.f__integer__ @t10)) % 0.38/0.59 (define @t13 () (@list @t10 @t9)) % 0.38/0.59 (define @t14 () (@var "S2" tptp.symbol)) % 0.38/0.59 (define @t15 () (@var "S1" tptp.symbol)) % 0.38/0.59 (define @t16 () (@var "X2" tptp.general)) % 0.38/0.59 (define @t17 () (= @t8 @t16)) % 0.38/0.59 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.38/0.59 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.38/0.59 (define @t20 () (@list @t8 @t16)) % 0.38/0.59 (define @t21 () (@var "X3" tptp.general)) % 0.38/0.59 (define @t22 () (not @t17)) % 0.38/0.59 (define @t23 () (@var "S" tptp.symbol)) % 0.38/0.59 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.38/0.59 (define @t25 () (@var "I_i" Int)) % 0.38/0.59 (define @t26 () (@var "Y_g" tptp.general)) % 0.38/0.59 (define @t27 () (exists (@list @t25) (and (= @t26 (tptp.f__integer__ @t25)) (>= @t25 1) (<= @t25 tptp.n_i)))) % 0.38/0.59 (define @t28 () (@var "X_g" tptp.general)) % 0.38/0.59 (define @t29 () (tptp.s @t28 @t26)) % 0.38/0.59 (define @t30 () (@list @t28)) % 0.38/0.59 (define @t31 () (@list @t26)) % 0.38/0.59 (define @t32 () (@var "Z1_g" tptp.general)) % 0.38/0.59 (define @t33 () (@var "Z_g" tptp.general)) % 0.38/0.59 (define @t34 () (tptp.s @t33 @t32)) % 0.38/0.59 (define @t35 () (@var "I_g" tptp.general)) % 0.38/0.59 (define @t36 () (= @t32 @t35)) % 0.38/0.59 (define @t37 () (= @t33 @t28)) % 0.38/0.59 (define @t38 () (and @t37 @t36 @t34)) % 0.38/0.59 (define @t39 () (@list @t33 @t32)) % 0.38/0.59 (define @t40 () (exists @t39 @t38)) % 0.38/0.59 (define @t41 () (tptp.in_cover @t33)) % 0.38/0.59 (define @t42 () (= @t33 @t35)) % 0.38/0.59 (define @t43 () (and @t42 @t41)) % 0.38/0.59 (define @t44 () (@list @t33)) % 0.38/0.59 (define @t45 () (exists @t44 @t43)) % 0.38/0.59 (define @t46 () (@var "V1_g" tptp.general)) % 0.38/0.59 (define @t47 () (@list @t28 @t35)) % 0.38/0.59 (define @t48 () (@list @t46)) % 0.38/0.59 (define @t49 () (@var "J_g" tptp.general)) % 0.38/0.59 (define @t50 () (= @t32 @t49)) % 0.38/0.59 (define @t51 () (and @t37 @t50 @t34)) % 0.38/0.59 (define @t52 () (exists @t39 @t51)) % 0.38/0.59 (define @t53 () (= @t33 @t49)) % 0.38/0.59 (define @t54 () (and @t53 @t41)) % 0.38/0.59 (define @t55 () (exists @t44 @t54)) % 0.38/0.59 (define @t56 () (= @t33 @t32)) % 0.38/0.59 (define @t57 () (not @t56)) % 0.38/0.59 (define @t58 () (and @t42 @t50 @t57)) % 0.38/0.59 (define @t59 () (exists @t39 @t58)) % 0.38/0.59 (define @t60 () (and @t59 @t45 @t55 @t40 @t52)) % 0.38/0.59 (define @t61 () (@list @t35 @t49 @t28)) % 0.38/0.59 (define @t62 () (forall @t61 (=> @t60 false))) % 0.38/0.59 (define @t63 () (tptp.in_cover @t46)) % 0.38/0.59 (define @t64 () (@var "J_i" Int)) % 0.38/0.59 (define @t65 () (@var "K_i" Int)) % 0.38/0.59 (define @t66 () (tptp.in_cover @t26)) % 0.38/0.59 (define @t67 () (= @t26 @t33)) % 0.38/0.59 (define @t68 () (tptp.s @t28 @t33)) % 0.38/0.59 (define @t69 () (and @t29 @t68)) % 0.38/0.59 (define @t70 () (exists @t30 @t69)) % 0.38/0.59 (define @t71 () (and @t70 @t66 @t41)) % 0.38/0.59 (define @t72 () (=> @t71 @t67)) % 0.38/0.59 (define @t73 () (@list @t26 @t33)) % 0.38/0.59 (define @t74 () (forall @t73 @t72)) % 0.38/0.59 (define @t75 () (not @t74)) % 0.38/0.59 (define @t76 () (tptp.s @t28 @t49)) % 0.38/0.59 (define @t77 () (not @t76)) % 0.38/0.59 (define @t78 () (tptp.s @t28 @t35)) % 0.38/0.59 (define @t79 () (not @t78)) % 0.38/0.59 (define @t80 () (tptp.in_cover @t49)) % 0.38/0.59 (define @t81 () (not @t80)) % 0.38/0.59 (define @t82 () (tptp.in_cover @t35)) % 0.38/0.59 (define @t83 () (not @t82)) % 0.38/0.59 (define @t84 () (= @t35 @t49)) % 0.38/0.59 (define @t85 () (not @t84)) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (or @t86 @t83 @t81 @t79 @t77)) % 0.38/0.59 (define @t88 () (not (= @t49 @t49))) % 0.38/0.59 (define @t89 () (or @t88 @t77)) % 0.38/0.59 (define @t90 () (not (tptp.s @t28 @t32))) % 0.38/0.59 (define @t91 () (not @t50)) % 0.38/0.59 (define @t92 () (or @t91 @t91 @t90)) % 0.38/0.59 (define @t93 () (@list @t32)) % 0.38/0.59 (define @t94 () (or @t91 @t90)) % 0.38/0.59 (define @t95 () (not (= @t28 @t28))) % 0.38/0.59 (define @t96 () (or @t95 @t91 @t90)) % 0.38/0.59 (define @t97 () (not @t34)) % 0.38/0.59 (define @t98 () (= @t28 @t33)) % 0.38/0.59 (define @t99 () (not @t98)) % 0.38/0.59 (define @t100 () (not @t37)) % 0.38/0.59 (define @t101 () (or @t99 @t99 @t91 @t97)) % 0.38/0.59 (define @t102 () (or @t99 @t91 @t97)) % 0.38/0.59 (define @t103 () (forall @t44 @t102)) % 0.38/0.59 (define @t104 () (forall @t93 @t103)) % 0.38/0.59 (define @t105 () (@list @t32 @t33)) % 0.38/0.59 (define @t106 () (forall @t105 @t102)) % 0.38/0.59 (define @t107 () (and @t98 @t50 @t34)) % 0.38/0.59 (define @t108 () (forall @t39 (not @t107))) % 0.38/0.59 (define @t109 () (not @t108)) % 0.38/0.59 (define @t110 () (not (= @t35 @t35))) % 0.38/0.59 (define @t111 () (or @t110 @t79)) % 0.38/0.59 (define @t112 () (= @t35 @t32)) % 0.38/0.59 (define @t113 () (not @t112)) % 0.38/0.59 (define @t114 () (or @t113 @t113 @t90)) % 0.38/0.59 (define @t115 () (or @t113 @t90)) % 0.38/0.59 (define @t116 () (or @t95 @t113 @t90)) % 0.38/0.59 (define @t117 () (or @t99 @t99 @t113 @t97)) % 0.38/0.59 (define @t118 () (or @t99 @t113 @t97)) % 0.38/0.59 (define @t119 () (forall @t44 @t118)) % 0.38/0.59 (define @t120 () (forall @t93 @t119)) % 0.38/0.59 (define @t121 () (forall @t105 @t118)) % 0.38/0.59 (define @t122 () (and @t98 @t112 @t34)) % 0.38/0.59 (define @t123 () (forall @t39 (not @t122))) % 0.38/0.59 (define @t124 () (not @t123)) % 0.38/0.59 (define @t125 () (or @t88 @t81)) % 0.38/0.59 (define @t126 () (not @t41)) % 0.38/0.59 (define @t127 () (not @t53)) % 0.38/0.59 (define @t128 () (or @t127 @t127 @t126)) % 0.38/0.59 (define @t129 () (or @t127 @t126)) % 0.38/0.59 (define @t130 () (forall @t44 (not @t54))) % 0.38/0.59 (define @t131 () (not @t130)) % 0.38/0.59 (define @t132 () (or @t110 @t83)) % 0.38/0.59 (define @t133 () (= @t35 @t33)) % 0.38/0.59 (define @t134 () (not @t133)) % 0.38/0.59 (define @t135 () (not @t42)) % 0.38/0.59 (define @t136 () (or @t134 @t134 @t126)) % 0.38/0.59 (define @t137 () (or @t134 @t126)) % 0.38/0.59 (define @t138 () (and @t133 @t41)) % 0.38/0.59 (define @t139 () (forall @t44 (not @t138))) % 0.38/0.59 (define @t140 () (not @t139)) % 0.38/0.59 (define @t141 () (or @t88 @t84)) % 0.38/0.59 (define @t142 () (or @t91 @t91 @t112)) % 0.38/0.59 (define @t143 () (or @t91 @t112)) % 0.38/0.59 (define @t144 () (or @t110 @t91 @t112)) % 0.38/0.59 (define @t145 () (or @t134 @t134 @t91 @t56)) % 0.38/0.59 (define @t146 () (or @t134 @t91 @t56)) % 0.38/0.59 (define @t147 () (forall @t44 @t146)) % 0.38/0.59 (define @t148 () (forall @t93 @t147)) % 0.38/0.59 (define @t149 () (forall @t105 @t146)) % 0.38/0.59 (define @t150 () (not @t57)) % 0.38/0.59 (define @t151 () (or @t134 @t91 @t150)) % 0.38/0.59 (define @t152 () (and @t133 @t50 @t57)) % 0.38/0.59 (define @t153 () (forall @t39 (not @t152))) % 0.38/0.59 (define @t154 () (not @t153)) % 0.38/0.59 (define @t155 () (@var "BOUND_VARIABLE_7904" tptp.general)) % 0.38/0.59 (define @t156 () (not (tptp.s @t155 @t33))) % 0.38/0.59 (define @t157 () (not (tptp.s @t155 @t26))) % 0.38/0.59 (define @t158 () (not @t66)) % 0.38/0.59 (define @t159 () (or @t67 @t158 @t126 @t157 @t156)) % 0.38/0.59 (define @t160 () (or @t158 @t126 @t67 @t157 @t156)) % 0.38/0.59 (define @t161 () (@list @t26 @t33 @t155)) % 0.38/0.59 (define @t162 () (forall @t161 @t160)) % 0.38/0.59 (define @t163 () (forall @t161 @t159)) % 0.38/0.59 (define @t164 () (forall @t61 (or @t84 @t83 @t81 @t79 @t77))) % 0.38/0.59 (define @t165 () (@list false)) % 0.38/0.59 (define @t166 () (or @t157 @t156)) % 0.38/0.59 (define @t167 () (or @t166 @t158 @t126 @t67)) % 0.38/0.59 (define @t168 () (forall @t161 @t167)) % 0.38/0.59 (define @t169 () (@list @t155)) % 0.38/0.59 (define @t170 () (forall @t169 @t167)) % 0.38/0.59 (define @t171 () (forall @t169 @t166)) % 0.38/0.59 (define @t172 () (or @t171 @t158 @t126 @t67)) % 0.38/0.59 (define @t173 () (forall @t30 (or (not @t29) (not @t68)))) % 0.38/0.59 (define @t174 () (or @t173 @t158 @t126 @t67)) % 0.38/0.59 (define @t175 () (not @t173)) % 0.38/0.59 (define @t176 () (not @t175)) % 0.38/0.59 (define @t177 () (or @t176 @t158 @t126)) % 0.38/0.59 (define @t178 () (and @t175 @t66 @t41)) % 0.38/0.59 (define @t179 () (forall @t30 (not @t69))) % 0.38/0.59 (define @t180 () (not @t179)) % 0.38/0.59 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.38/0.59 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.38/0.59 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.38/0.59 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.38/0.59 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.38/0.59 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.38/0.59 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.38/0.59 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.38/0.59 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.38/0.59 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.38/0.59 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.38/0.59 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.38/0.59 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.38/0.59 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.38/0.59 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.38/0.59 (assume @p16 (>= tptp.n_i 0)) % 0.38/0.59 (assume @p17 (forall @t31 (=> (exists @t30 @t29) @t27))) % 0.38/0.59 (assume @p18 (forall @t48 (= (tptp.covered @t46) (exists @t47 (and (= @t46 @t28) @t45 @t40))))) % 0.38/0.59 (assume @p19 @t62) % 0.38/0.59 (assume @p20 (forall @t47 (=> (and @t40 (exists @t44 (and @t37 (not (tptp.covered @t33))))) false))) % 0.38/0.59 (assume @p21 (forall @t48 (= @t63 (and (exists (@list @t25 @t64 @t65) (and (= @t25 1) (= @t64 tptp.n_i) (= @t46 (tptp.f__integer__ @t65)) (<= @t25 @t65) (<= @t65 @t64))) true (not (not @t63)))))) % 0.38/0.59 (assume @p22 (forall @t31 (=> @t66 @t27))) % 0.38/0.59 (assume @p23 (forall @t30 (=> (exists @t31 @t29) (exists @t31 (and @t29 @t66))))) % 0.38/0.59 (assume @p24 @t75) % 0.38/0.59 (assume @p25 true) % 0.38/0.59 (step @p26 :rule refl :args (@t77)) % 0.38/0.59 (step @p27 :rule refl :args (@t79)) % 0.38/0.59 (step @p28 :rule refl :args (@t81)) % 0.38/0.59 (step @p29 :rule refl :args (@t83)) % 0.38/0.59 (step @p30 :rule bool-double-not-elim :args (@t84)) % 0.38/0.59 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27 @p26) :args (@t87)) % 0.38/0.59 (step @p32 :rule aci_norm :args ((= (or @t86 (or @t83 (or @t81 (or @t79 @t77)))) @t87))) % 0.38/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.59 (step @p34 :rule bool-and-de-morgan :args (@t78 @t76 true)) % 0.38/0.59 (step @p35 :rule nary_cong :premises (@p28 @p34) :args ((or @t81 (not (and @t78 @t76))))) % 0.38/0.59 (step @p36 :rule bool-and-de-morgan :args (@t80 @t78 (and @t76))) % 0.38/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.38/0.59 (step @p38 :rule nary_cong :premises (@p29 @p37) :args ((or @t83 (not (and @t80 @t78 @t76))))) % 0.38/0.59 (step @p39 :rule bool-and-de-morgan :args (@t82 @t80 (and @t78 @t76))) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.59 (step @p41 :rule refl :args (@t86)) % 0.38/0.59 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t86 (not (and @t82 @t80 @t78 @t76))))) % 0.38/0.59 (step @p43 :rule bool-and-de-morgan :args (@t85 @t82 (and @t80 @t78 @t76))) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p33)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45) :args ((forall @t61 (not (and @t85 @t82 @t80 @t78 @t76))))) % 0.38/0.59 (step @p47 :rule bool-double-not-elim :args (@t76)) % 0.38/0.59 (step @p48 :rule aci_norm :args ((= (or false @t77) @t77))) % 0.38/0.59 (step @p49 :rule refl :args (@t77)) % 0.38/0.59 (step @p50 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p51 :rule eq-refl :args (@t49)) % 0.38/0.59 (step @p52 :rule cong :premises (@p51) :args (@t88)) % 0.38/0.59 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.59 (step @p54 :rule nary_cong :premises (@p53 @p49) :args (@t89)) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p48)) % 0.38/0.59 (step @p56 :rule quant-var-elim-eq :args ((= (forall @t93 @t92) @t89))) % 0.38/0.59 (step @p57 :rule aci_norm :args ((= @t94 @t92))) % 0.38/0.59 (step @p58 :rule cong :premises (@p57) :args ((forall @t93 @t94))) % 0.38/0.59 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p55)) % 0.38/0.59 (step @p61 :rule aci_norm :args ((= (or false @t91 @t90) @t94))) % 0.38/0.59 (step @p62 :rule refl :args (@t90)) % 0.38/0.59 (step @p63 :rule refl :args (@t91)) % 0.38/0.59 (step @p64 :rule eq-refl :args (@t28)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64) :args (@t95)) % 0.38/0.59 (step @p66 :rule trans :premises (@p65 @p50)) % 0.38/0.59 (step @p67 :rule nary_cong :premises (@p66 @p63 @p62) :args (@t96)) % 0.38/0.59 (step @p68 :rule trans :premises (@p67 @p61)) % 0.38/0.59 (step @p69 :rule cong :premises (@p68) :args ((forall @t93 @t96))) % 0.38/0.59 (step @p70 :rule trans :premises (@p69 @p60)) % 0.38/0.59 (step @p71 :rule quant-var-elim-eq :args ((= (forall @t44 (or @t100 @t99 @t91 @t97)) @t96))) % 0.38/0.59 (step @p72 :rule refl :args 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nary_cong :premises (@p276 @p275 @p182 @p274) :args (@t172)) % 0.38/0.59 (step @p278 :rule quant-miniscope-or :args ((= @t170 @t172))) % 0.38/0.59 (step @p279 :rule trans :premises (@p278 @p277)) % 0.38/0.59 (step @p280 :rule symm :premises (@p279)) % 0.38/0.59 (step @p281 :rule cong :premises (@p280) :args ((forall @t73 @t174))) % 0.38/0.59 (step @p282 :rule trans :premises (@p281 @p273)) % 0.38/0.59 (step @p283 :rule trans :premises (@p282 @p272)) % 0.38/0.59 (step @p284 :rule aci_norm :args ((= (or (or @t173 @t158 @t126) @t67) @t174))) % 0.38/0.59 (step @p285 :rule bool-double-not-elim :args (@t173)) % 0.38/0.59 (step @p286 :rule nary_cong :premises (@p285 @p275 @p182) :args (@t177)) % 0.38/0.59 (step @p287 :rule aci_norm :args ((= (or @t176 (or @t158 @t126)) @t177))) % 0.38/0.59 (step @p288 :rule trans :premises (@p287 @p286)) % 0.38/0.59 (step @p289 :rule bool-and-de-morgan :args (@t66 @t41 true)) % 0.38/0.59 (step @p290 :rule refl :args (@t176)) % 0.38/0.59 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t176 (not (and @t66 @t41))))) % 0.38/0.59 (step @p292 :rule bool-and-de-morgan :args (@t175 @t66 (and @t41))) % 0.38/0.59 (step @p293 :rule trans :premises (@p292 @p291)) % 0.38/0.59 (step @p294 :rule trans :premises (@p293 @p288)) % 0.38/0.59 (step @p295 :rule nary_cong :premises (@p294 @p274) :args ((or (not @t178) @t67))) % 0.38/0.59 (step @p296 :rule trans :premises (@p295 @p284)) % 0.38/0.59 (step @p297 :rule bool-impl-elim :args (@t178 @t67)) % 0.38/0.59 (step @p298 :rule trans :premises (@p297 @p296)) % 0.38/0.59 (step @p299 :rule cong :premises (@p298) :args ((forall @t73 (=> @t178 @t67)))) % 0.38/0.59 (step @p300 :rule trans :premises (@p299 @p283)) % 0.38/0.59 (step @p301 :rule refl :args (@t67)) % 0.38/0.59 (step @p302 :rule refl :args (@t66)) % 0.38/0.59 (step @p303 :rule bool-and-de-morgan :args (@t29 @t68 true)) % 0.38/0.59 (step @p304 :rule cong :premises (@p303) :args (@t179)) % 0.38/0.59 (step @p305 :rule cong :premises (@p304) :args (@t180)) % 0.38/0.59 (step @p306 :rule exists-elim :args ((= @t70 @t180))) % 0.38/0.59 (step @p307 :rule trans :premises (@p306 @p305)) % 0.38/0.59 (step @p308 :rule nary_cong :premises (@p307 @p302 @p199) :args (@t71)) % 0.38/0.59 (step @p309 :rule cong :premises (@p308 @p301) :args (@t72)) % 0.38/0.59 (step @p310 :rule cong :premises (@p309) :args (@t74)) % 0.38/0.59 (step @p311 :rule trans :premises (@p310 @p300)) % 0.38/0.59 (step @p312 :rule cong :premises (@p311) :args (@t75)) % 0.38/0.59 (step @p313 :rule eq_resolve :premises (@p24 @p312)) % 0.38/0.59 (step @p314 false :rule chain_m_resolution :premises (@p313 @p270) :args (false @t165 (@list @t162))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------