%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV023-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:23:07 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWV023-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:18:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Unsatisfiable % 0.44/0.66 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.t_139 $$unsorted) % 0.44/0.67 (declare-const tptp.p_Wr (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Mem (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Rd_error (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Wr_error (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Data_out (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.wr_level (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.n1 $$unsorted) % 0.44/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.p_Rd (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Full (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.fifo_length $$unsorted) % 0.44/0.67 (declare-const tptp.def_10 (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Data_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.n0 $$unsorted) % 0.44/0.67 (declare-const tptp.int_level (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.rd_level (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.level (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.y_27 (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.p_Empty (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.p_Reset (-> $$unsorted Bool)) % 0.44/0.67 (define @t1 () (@var "X_0" $$unsorted)) % 0.44/0.67 (define @t2 () (@var "X_1" $$unsorted)) % 0.44/0.67 (define @t3 () (@var "X_2" $$unsorted)) % 0.44/0.67 (define @t4 () (@var "X_3" $$unsorted)) % 0.44/0.67 (define @t5 () (@var "Y_4" $$unsorted)) % 0.44/0.67 (define @t6 () (tptp.def_10 @t5 @t4)) % 0.44/0.67 (define @t7 () (@var "Z_5" $$unsorted)) % 0.44/0.67 (define @t8 () (tptp.plus @t7 @t5)) % 0.44/0.67 (define @t9 () (= @t8 @t4)) % 0.44/0.67 (define @t10 () (tptp.minus @t4 @t5)) % 0.44/0.67 (define @t11 () (= @t10 @t7)) % 0.44/0.67 (define @t12 () (@list @t4 @t5 @t7)) % 0.44/0.67 (define @t13 () (not @t9)) % 0.44/0.67 (define @t14 () (or @t11 @t13 @t6)) % 0.44/0.67 (define @t15 () (forall @t12 @t14)) % 0.44/0.67 (define @t16 () (not @t6)) % 0.44/0.67 (define @t17 () (@list @t5 @t4)) % 0.44/0.67 (define @t18 () (not (= @t4 @t5))) % 0.44/0.67 (define @t19 () (or @t16 @t18)) % 0.44/0.67 (define @t20 () (forall @t17 @t19)) % 0.44/0.67 (define @t21 () (@var "X_11" $$unsorted)) % 0.44/0.67 (define @t22 () (@var "Y_12" $$unsorted)) % 0.44/0.67 (define @t23 () (tptp.gt (tptp.plus @t22 tptp.n1) (tptp.plus @t21 tptp.n1))) % 0.44/0.67 (define @t24 () (tptp.gt @t22 @t21)) % 0.44/0.67 (define @t25 () (@list @t22 @t21)) % 0.44/0.67 (define @t26 () (@var "X_13" $$unsorted)) % 0.44/0.67 (define @t27 () (@var "Y_14" $$unsorted)) % 0.44/0.67 (define @t28 () (@var "Y_16" $$unsorted)) % 0.44/0.67 (define @t29 () (@var "X_15" $$unsorted)) % 0.44/0.67 (define @t30 () (@var "Y_18" $$unsorted)) % 0.44/0.67 (define @t31 () (@var "X_17" $$unsorted)) % 0.44/0.67 (define @t32 () (@var "X_19" $$unsorted)) % 0.44/0.67 (define @t33 () (@var "Y_20" $$unsorted)) % 0.44/0.67 (define @t34 () (@var "Z_21" $$unsorted)) % 0.44/0.67 (define @t35 () (@var "X_23" $$unsorted)) % 0.44/0.67 (define @t36 () (tptp.plus @t35 tptp.n1)) % 0.44/0.67 (define @t37 () (@var "Y_24" $$unsorted)) % 0.44/0.67 (define @t38 () (@var "X_25" $$unsorted)) % 0.44/0.67 (define @t39 () (@var "X_26" $$unsorted)) % 0.44/0.67 (define @t40 () (@var "X_28" $$unsorted)) % 0.44/0.67 (define @t41 () (@var "Y_30" $$unsorted)) % 0.44/0.67 (define @t42 () (@var "X_29" $$unsorted)) % 0.44/0.67 (define @t43 () (@var "X_31" $$unsorted)) % 0.44/0.67 (define @t44 () (tptp.plus tptp.n0 tptp.n1)) % 0.44/0.67 (define @t45 () (@var "X_t_32" $$unsorted)) % 0.44/0.67 (define @t46 () (@var "X_t_33" $$unsorted)) % 0.44/0.67 (define @t47 () (@var "X_t_34" $$unsorted)) % 0.44/0.67 (define @t48 () (@var "X_t_35" $$unsorted)) % 0.44/0.67 (define @t49 () (tptp.p_Empty @t48)) % 0.44/0.67 (define @t50 () (tptp.int_level @t48)) % 0.44/0.67 (define @t51 () (not (= @t50 tptp.n0))) % 0.44/0.67 (define @t52 () (or @t51 @t49)) % 0.44/0.67 (define @t53 () (forall (@list @t48) @t52)) % 0.44/0.67 (define @t54 () (@var "X_t_36" $$unsorted)) % 0.44/0.67 (define @t55 () (@var "X_t_37" $$unsorted)) % 0.44/0.67 (define @t56 () (tptp.plus @t55 tptp.n1)) % 0.44/0.67 (define @t57 () (not (tptp.p_Reset @t55))) % 0.44/0.67 (define @t58 () (@list @t55)) % 0.44/0.67 (define @t59 () (@var "X_k2_39" $$unsorted)) % 0.44/0.67 (define @t60 () (@var "X_k1_38" $$unsorted)) % 0.44/0.67 (define @t61 () (@var "X_k1_40" $$unsorted)) % 0.44/0.67 (define @t62 () (@var "X_t_42" $$unsorted)) % 0.44/0.67 (define @t63 () (tptp.rd_level @t62)) % 0.44/0.67 (define @t64 () (tptp.plus @t62 tptp.n1)) % 0.44/0.67 (define @t65 () (tptp.rd_level @t64)) % 0.44/0.67 (define @t66 () (= @t65 @t63)) % 0.44/0.67 (define @t67 () (tptp.p_Rd @t62)) % 0.44/0.67 (define @t68 () (tptp.p_Wr @t62)) % 0.44/0.67 (define @t69 () (not @t68)) % 0.44/0.67 (define @t70 () (tptp.p_Reset @t62)) % 0.44/0.67 (define @t71 () (@list @t62)) % 0.44/0.67 (define @t72 () (tptp.p_Wr_error @t64)) % 0.44/0.67 (define @t73 () (not @t72)) % 0.44/0.67 (define @t74 () (tptp.int_level @t62)) % 0.44/0.67 (define @t75 () (tptp.gt tptp.fifo_length @t74)) % 0.44/0.67 (define @t76 () (not @t75)) % 0.44/0.67 (define @t77 () (tptp.int_level @t64)) % 0.44/0.67 (define @t78 () (= @t77 (tptp.plus @t74 tptp.n1))) % 0.44/0.67 (define @t79 () (@var "X_k1_43" $$unsorted)) % 0.44/0.67 (define @t80 () (tptp.p_Data_in @t79 @t62)) % 0.44/0.67 (define @t81 () (tptp.wr_level @t62)) % 0.44/0.67 (define @t82 () (tptp.p_Mem @t81 @t79 @t64)) % 0.44/0.67 (define @t83 () (@list @t62 @t79)) % 0.44/0.67 (define @t84 () (@var "X_k1_48" $$unsorted)) % 0.44/0.67 (define @t85 () (@var "X_c1_47" $$unsorted)) % 0.44/0.67 (define @t86 () (tptp.p_Mem @t85 @t84 @t62)) % 0.44/0.67 (define @t87 () (tptp.p_Mem @t85 @t84 @t64)) % 0.44/0.67 (define @t88 () (= @t85 @t81)) % 0.44/0.67 (define @t89 () (@list @t62 @t85 @t84)) % 0.44/0.67 (define @t90 () (tptp.wr_level @t64)) % 0.44/0.67 (define @t91 () (= @t90 (tptp.plus @t81 tptp.n1))) % 0.44/0.67 (define @t92 () (tptp.minus tptp.fifo_length tptp.n1)) % 0.44/0.67 (define @t93 () (tptp.gt @t92 @t81)) % 0.44/0.67 (define @t94 () (not @t93)) % 0.44/0.67 (define @t95 () (= @t90 tptp.n0)) % 0.44/0.67 (define @t96 () (= @t90 @t81)) % 0.44/0.67 (define @t97 () (= @t77 @t74)) % 0.44/0.67 (define @t98 () (@var "X_k2_58" $$unsorted)) % 0.44/0.67 (define @t99 () (@var "X_k1_57" $$unsorted)) % 0.44/0.67 (define @t100 () (tptp.p_Mem @t99 @t98 @t62)) % 0.44/0.67 (define @t101 () (tptp.p_Mem @t99 @t98 @t64)) % 0.44/0.67 (define @t102 () (@list @t62 @t99 @t98)) % 0.44/0.67 (define @t103 () (@var "X_k1_64" $$unsorted)) % 0.44/0.67 (define @t104 () (tptp.p_Data_out @t103 @t62)) % 0.44/0.67 (define @t105 () (tptp.p_Data_out @t103 @t64)) % 0.44/0.67 (define @t106 () (@list @t62 @t103)) % 0.44/0.67 (define @t107 () (tptp.p_Rd_error @t62)) % 0.44/0.67 (define @t108 () (tptp.p_Rd_error @t64)) % 0.44/0.67 (define @t109 () (not @t108)) % 0.44/0.67 (define @t110 () (not @t107)) % 0.44/0.67 (define @t111 () (not @t67)) % 0.44/0.67 (define @t112 () (tptp.gt @t74 tptp.n0)) % 0.44/0.67 (define @t113 () (not @t112)) % 0.44/0.67 (define @t114 () (@var "X_k1_73" $$unsorted)) % 0.44/0.67 (define @t115 () (tptp.p_Mem @t63 @t114 @t62)) % 0.44/0.67 (define @t116 () (tptp.p_Data_out @t114 @t64)) % 0.44/0.67 (define @t117 () (@list @t62 @t114)) % 0.44/0.67 (define @t118 () (= @t65 (tptp.plus @t63 tptp.n1))) % 0.44/0.67 (define @t119 () (tptp.gt @t92 @t63)) % 0.44/0.67 (define @t120 () (not @t119)) % 0.44/0.67 (define @t121 () (= @t65 tptp.n0)) % 0.44/0.67 (define @t122 () (@var "X_k1_81" $$unsorted)) % 0.44/0.67 (define @t123 () (tptp.p_Data_out @t122 @t62)) % 0.44/0.67 (define @t124 () (tptp.p_Data_out @t122 @t64)) % 0.44/0.67 (define @t125 () (@list @t62 @t122)) % 0.44/0.67 (define @t126 () (@var "X_k1_87" $$unsorted)) % 0.44/0.67 (define @t127 () (tptp.p_Data_in @t126 @t62)) % 0.44/0.67 (define @t128 () (tptp.p_Mem @t81 @t126 @t64)) % 0.44/0.67 (define @t129 () (@list @t62 @t126)) % 0.44/0.67 (define @t130 () (@var "X_k1_92" $$unsorted)) % 0.44/0.67 (define @t131 () (@var "X_c1_91" $$unsorted)) % 0.44/0.67 (define @t132 () (tptp.p_Mem @t131 @t130 @t62)) % 0.44/0.67 (define @t133 () (tptp.p_Mem @t131 @t130 @t64)) % 0.44/0.67 (define @t134 () (= @t131 @t81)) % 0.44/0.67 (define @t135 () (@list @t62 @t131 @t130)) % 0.44/0.67 (define @t136 () (@var "X_k1_103" $$unsorted)) % 0.44/0.67 (define @t137 () (tptp.p_Mem @t63 @t136 @t62)) % 0.44/0.67 (define @t138 () (tptp.p_Data_out @t136 @t64)) % 0.44/0.67 (define @t139 () (@list @t62 @t136)) % 0.44/0.67 (define @t140 () (@var "X_k1_111" $$unsorted)) % 0.44/0.67 (define @t141 () (tptp.p_Data_out @t140 @t62)) % 0.44/0.67 (define @t142 () (tptp.p_Data_out @t140 @t64)) % 0.44/0.67 (define @t143 () (@list @t62 @t140)) % 0.44/0.67 (define @t144 () (@var "X_k1_119" $$unsorted)) % 0.44/0.67 (define @t145 () (tptp.p_Data_out @t144 @t62)) % 0.44/0.67 (define @t146 () (tptp.p_Data_out @t144 @t64)) % 0.44/0.67 (define @t147 () (@list @t62 @t144)) % 0.44/0.67 (define @t148 () (@var "X_k2_129" $$unsorted)) % 0.44/0.67 (define @t149 () (@var "X_k1_128" $$unsorted)) % 0.44/0.67 (define @t150 () (tptp.p_Mem @t149 @t148 @t62)) % 0.44/0.67 (define @t151 () (tptp.p_Mem @t149 @t148 @t64)) % 0.44/0.67 (define @t152 () (@list @t62 @t149 @t148)) % 0.44/0.67 (define @t153 () (tptp.p_Wr_error @t62)) % 0.44/0.67 (define @t154 () (tptp.p_Wr tptp.t_139)) % 0.44/0.67 (define @t155 () (tptp.p_Rd tptp.t_139)) % 0.44/0.67 (define @t156 () (tptp.p_Reset tptp.t_139)) % 0.44/0.67 (define @t157 () (tptp.plus tptp.t_139 tptp.n1)) % 0.44/0.67 (define @t158 () (tptp.p_Empty @t157)) % 0.44/0.67 (define @t159 () (not (tptp.def_10 @t5 @t5))) % 0.44/0.67 (define @t160 () (not (= @t5 @t5))) % 0.44/0.67 (define @t161 () (or @t159 @t160)) % 0.44/0.67 (define @t162 () (@list @t5)) % 0.44/0.67 (define @t163 () (or @t18 @t16 @t18)) % 0.44/0.67 (define @t164 () (@list @t4)) % 0.44/0.67 (define @t165 () (forall @t164 @t19)) % 0.44/0.67 (define @t166 () (forall @t162 @t165)) % 0.44/0.67 (define @t167 () (tptp.def_10 tptp.n1 @t44)) % 0.44/0.67 (define @t168 () (tptp.def_10 @t5 @t8)) % 0.44/0.67 (define @t169 () (= @t7 (tptp.minus @t8 @t5))) % 0.44/0.67 (define @t170 () (not (= @t8 @t8))) % 0.44/0.67 (define @t171 () (or @t169 @t170 @t168)) % 0.44/0.67 (define @t172 () (@list @t5 @t7)) % 0.44/0.67 (define @t173 () (not (= @t4 @t8))) % 0.44/0.67 (define @t174 () (= @t7 @t10)) % 0.44/0.67 (define @t175 () (or @t173 @t174 @t173 @t6)) % 0.44/0.67 (define @t176 () (or @t174 @t173 @t6)) % 0.44/0.67 (define @t177 () (forall @t164 @t176)) % 0.44/0.67 (define @t178 () (forall @t172 @t177)) % 0.44/0.67 (define @t179 () (forall (@list @t5 @t7 @t4) @t176)) % 0.44/0.67 (define @t180 () (tptp.int_level @t157)) % 0.44/0.67 (define @t181 () (not (= tptp.n0 @t180))) % 0.44/0.67 (define @t182 () (or @t181 @t158)) % 0.44/0.67 (define @t183 () (@list true false)) % 0.44/0.67 (define @t184 () (@list tptp.t_139)) % 0.44/0.67 (define @t185 () (tptp.int_level tptp.t_139)) % 0.44/0.67 (define @t186 () (tptp.gt @t185 tptp.n0)) % 0.44/0.67 (define @t187 () (= @t180 (tptp.minus @t185 tptp.n1))) % 0.44/0.67 (define @t188 () (not @t186)) % 0.44/0.67 (define @t189 () (not @t155)) % 0.44/0.67 (define @t190 () (or @t156 @t154 @t189 @t188 @t187)) % 0.44/0.67 (define @t191 () (tptp.minus @t44 tptp.n1)) % 0.44/0.67 (define @t192 () (= tptp.n0 @t191)) % 0.44/0.67 (define @t193 () (or @t192 @t167)) % 0.44/0.67 (assume @p1 (forall (@list @t1) (not (= (tptp.plus @t1 tptp.n1) tptp.n0)))) % 0.44/0.67 (assume @p2 (forall (@list @t2) (tptp.gt (tptp.plus @t2 tptp.n1) tptp.n0))) % 0.44/0.67 (assume @p3 (forall (@list @t3) (or (not (tptp.gt @t3 tptp.n0)) (tptp.gt @t3 (tptp.minus @t3 tptp.n1))))) % 0.44/0.67 (assume @p4 (forall @t12 (or (not @t11) @t9 @t6))) % 0.44/0.67 (assume @p5 @t15) % 0.44/0.67 (assume @p6 (forall @t17 (or @t16 (not (tptp.gt @t4 @t5))))) % 0.44/0.67 (assume @p7 @t20) % 0.44/0.67 (assume @p8 (forall @t25 (or (not @t24) @t23))) % 0.44/0.67 (assume @p9 (forall @t25 (or @t24 (not @t23)))) % 0.44/0.67 (assume @p10 (forall (@list @t26 @t27) (or (tptp.gt @t26 @t27) (not (tptp.gt (tptp.plus @t26 tptp.n1) @t27)) (= @t27 @t26)))) % 0.44/0.67 (assume @p11 (forall (@list @t29 @t28) (or (not (tptp.gt (tptp.plus @t29 tptp.n1) @t28)) (tptp.gt @t29 @t28) (= @t29 @t28)))) % 0.44/0.67 (assume @p12 (forall (@list @t30 @t31) (or (tptp.gt @t30 @t31) (= @t31 @t30) (tptp.gt @t31 @t30)))) % 0.44/0.67 (assume @p13 (forall (@list @t34 @t33 @t32) (or (not (tptp.gt @t34 @t33)) (tptp.gt @t34 @t32) (not (tptp.gt @t33 @t32))))) % 0.44/0.67 (assume @p14 (forall (@list @t37 @t35) (or (not (tptp.gt @t37 @t35)) (= @t36 @t37) (tptp.gt @t37 @t36)))) % 0.44/0.67 (assume @p15 (forall (@list @t38) (or (= @t38 tptp.n0) (tptp.gt @t38 tptp.n0)))) % 0.44/0.67 (assume @p16 (forall (@list @t39) (or (= @t39 tptp.n0) (= @t39 (tptp.plus (tptp.y_27 @t39) tptp.n1))))) % 0.44/0.67 (assume @p17 (forall (@list @t40) (not (tptp.gt @t40 @t40)))) % 0.44/0.67 (assume @p18 (forall (@list @t42 @t41) (or (not (= (tptp.plus @t42 tptp.n1) (tptp.plus @t41 tptp.n1))) (= @t42 @t41)))) % 0.44/0.67 (assume @p19 (forall (@list @t43) (= (tptp.plus tptp.n0 @t43) @t43))) % 0.44/0.67 (assume @p20 (= tptp.n1 @t44)) % 0.44/0.67 (assume @p21 (forall (@list @t45) (= (tptp.level @t45) (tptp.int_level @t45)))) % 0.44/0.67 (assume @p22 (forall (@list @t46) (or (not (= (tptp.int_level @t46) tptp.fifo_length)) (tptp.p_Full @t46)))) % 0.44/0.67 (assume @p23 (forall (@list @t47) (or (= (tptp.int_level @t47) tptp.fifo_length) (not (tptp.p_Full @t47))))) % 0.44/0.67 (assume @p24 @t53) % 0.44/0.67 (assume @p25 (forall (@list @t54) (or (= (tptp.int_level @t54) tptp.n0) (not (tptp.p_Empty @t54))))) % 0.44/0.67 (assume @p26 (forall @t58 (or @t57 (= (tptp.int_level @t56) tptp.n0)))) % 0.44/0.67 (assume @p27 (forall @t58 (or @t57 (= (tptp.wr_level @t56) tptp.n0)))) % 0.44/0.67 (assume @p28 (forall @t58 (or @t57 (= (tptp.rd_level @t56) tptp.n0)))) % 0.44/0.67 (assume @p29 (forall @t58 (or @t57 (not (tptp.p_Wr_error @t56))))) % 0.44/0.67 (assume @p30 (forall @t58 (or @t57 (not (tptp.p_Rd_error @t56))))) % 0.44/0.67 (assume @p31 (forall (@list @t55 @t60 @t59) (or @t57 (not (tptp.p_Mem @t60 @t59 @t56))))) % 0.44/0.67 (assume @p32 (forall (@list @t55 @t61) (or @t57 (not (tptp.p_Data_out @t61 @t56))))) % 0.44/0.67 (assume @p33 (forall @t71 (or @t70 @t69 @t67 @t66))) % 0.44/0.67 (assume @p34 (forall @t71 (or @t70 @t69 @t67 @t76 @t73))) % 0.44/0.67 (assume @p35 (forall @t71 (or @t70 @t69 @t67 @t76 @t78))) % 0.44/0.67 (assume @p36 (forall @t83 (or @t70 @t69 @t67 @t76 (not @t82) @t80))) % 0.44/0.67 (assume @p37 (forall @t83 (or @t70 @t69 @t67 @t76 @t82 (not @t80)))) % 0.44/0.67 (assume @p38 (forall @t89 (or @t70 @t69 @t67 @t76 @t88 (not @t87) @t86))) % 0.44/0.67 (assume @p39 (forall @t89 (or @t70 @t69 @t67 @t76 @t88 @t87 (not @t86)))) % 0.44/0.67 (assume @p40 (forall @t71 (or @t70 @t69 @t67 @t76 @t94 @t91))) % 0.44/0.67 (assume @p41 (forall @t71 (or @t70 @t69 @t67 @t76 @t93 @t95))) % 0.44/0.67 (assume @p42 (forall @t71 (or @t70 @t69 @t67 @t75 @t72))) % 0.44/0.67 (assume @p43 (forall @t71 (or @t70 @t69 @t67 @t75 @t96))) % 0.44/0.67 (assume @p44 (forall @t71 (or @t70 @t69 @t67 @t75 @t97))) % 0.44/0.67 (assume @p45 (forall @t102 (or @t70 @t69 @t67 @t75 (not @t101) @t100))) % 0.44/0.67 (assume @p46 (forall @t102 (or @t70 @t69 @t67 @t75 @t101 (not @t100)))) % 0.44/0.67 (assume @p47 (forall @t106 (or @t70 @t69 @t67 (not @t105) @t104))) % 0.44/0.67 (assume @p48 (forall @t106 (or @t70 @t69 @t67 @t105 (not @t104)))) % 0.44/0.67 (assume @p49 (forall @t71 (or @t70 @t69 @t67 @t109 @t107))) % 0.44/0.67 (assume @p50 (forall @t71 (or @t70 @t69 @t67 @t108 @t110))) % 0.44/0.67 (assume @p51 (forall @t71 (or @t70 @t69 @t111 @t73))) % 0.44/0.67 (assume @p52 (forall @t71 (or @t70 @t69 @t111 @t113 @t109))) % 0.44/0.67 (assume @p53 (forall @t71 (or @t70 @t69 @t111 @t113 @t97))) % 0.44/0.67 (assume @p54 (forall @t117 (or @t70 @t69 @t111 @t113 (not @t116) @t115))) % 0.44/0.67 (assume @p55 (forall @t117 (or @t70 @t69 @t111 @t113 @t116 (not @t115)))) % 0.44/0.67 (assume @p56 (forall @t71 (or @t70 @t69 @t111 @t113 @t120 @t118))) % 0.44/0.67 (assume @p57 (forall @t71 (or @t70 @t69 @t111 @t113 @t119 @t121))) % 0.44/0.67 (assume @p58 (forall @t71 (or @t70 @t69 @t111 @t112 @t108))) % 0.44/0.67 (assume @p59 (forall @t71 (or @t70 @t69 @t111 @t112 @t78))) % 0.44/0.67 (assume @p60 (forall @t71 (or @t70 @t69 @t111 @t112 @t66))) % 0.44/0.67 (assume @p61 (forall @t125 (or @t70 @t69 @t111 @t112 (not @t124) @t123))) % 0.44/0.67 (assume @p62 (forall @t125 (or @t70 @t69 @t111 @t112 @t124 (not @t123)))) % 0.44/0.67 (assume @p63 (forall @t129 (or @t70 @t69 @t111 (not @t128) @t127))) % 0.44/0.67 (assume @p64 (forall @t129 (or @t70 @t69 @t111 @t128 (not @t127)))) % 0.44/0.67 (assume @p65 (forall @t135 (or @t70 @t69 @t111 @t134 (not @t133) @t132))) % 0.44/0.67 (assume @p66 (forall @t135 (or @t70 @t69 @t111 @t134 @t133 (not @t132)))) % 0.44/0.67 (assume @p67 (forall @t71 (or @t70 @t69 @t111 @t94 @t91))) % 0.44/0.67 (assume @p68 (forall @t71 (or @t70 @t69 @t111 @t93 @t95))) % 0.44/0.67 (assume @p69 (forall @t71 (or @t70 @t68 @t96))) % 0.44/0.67 (assume @p70 (forall @t71 (or @t70 @t68 @t111 @t113 @t109))) % 0.44/0.67 (assume @p71 (forall @t71 (or @t70 @t68 @t111 @t113 (= @t77 (tptp.minus @t74 tptp.n1))))) % 0.44/0.67 (assume @p72 (forall @t139 (or @t70 @t68 @t111 @t113 (not @t138) @t137))) % 0.44/0.67 (assume @p73 (forall @t139 (or @t70 @t68 @t111 @t113 @t138 (not @t137)))) % 0.44/0.67 (assume @p74 (forall @t71 (or @t70 @t68 @t111 @t113 @t120 @t118))) % 0.44/0.67 (assume @p75 (forall @t71 (or @t70 @t68 @t111 @t113 @t119 @t121))) % 0.44/0.67 (assume @p76 (forall @t71 (or @t70 @t68 @t111 @t112 @t108))) % 0.44/0.67 (assume @p77 (forall @t71 (or @t70 @t68 @t111 @t112 @t66))) % 0.44/0.67 (assume @p78 (forall @t71 (or @t70 @t68 @t111 @t112 @t97))) % 0.44/0.67 (assume @p79 (forall @t143 (or @t70 @t68 @t111 @t112 (not @t142) @t141))) % 0.44/0.67 (assume @p80 (forall @t143 (or @t70 @t68 @t111 @t112 @t142 (not @t141)))) % 0.44/0.67 (assume @p81 (forall @t71 (or @t70 @t68 @t67 @t66))) % 0.44/0.67 (assume @p82 (forall @t71 (or @t70 @t68 @t67 @t97))) % 0.44/0.67 (assume @p83 (forall @t147 (or @t70 @t68 @t67 (not @t146) @t145))) % 0.44/0.67 (assume @p84 (forall @t147 (or @t70 @t68 @t67 @t146 (not @t145)))) % 0.44/0.67 (assume @p85 (forall @t71 (or @t70 @t68 @t67 @t109 @t107))) % 0.44/0.67 (assume @p86 (forall @t71 (or @t70 @t68 @t67 @t108 @t110))) % 0.44/0.67 (assume @p87 (forall @t152 (or @t70 @t68 (not @t151) @t150))) % 0.44/0.67 (assume @p88 (forall @t152 (or @t70 @t68 @t151 (not @t150)))) % 0.44/0.67 (assume @p89 (forall @t71 (or @t70 @t68 @t73 @t153))) % 0.44/0.67 (assume @p90 (forall @t71 (or @t70 @t68 @t72 (not @t153)))) % 0.44/0.67 (assume @p91 (= (tptp.level tptp.t_139) tptp.n1)) % 0.44/0.67 (assume @p92 (not @t154)) % 0.44/0.67 (assume @p93 @t155) % 0.44/0.67 (assume @p94 (not @t156)) % 0.44/0.67 (assume @p95 (not @t158)) % 0.44/0.67 (step @p96 :rule evaluate :args ((= true false))) % 0.44/0.67 (step @p97 :rule aci_norm :args ((= (or @t159 false) @t159))) % 0.44/0.67 (step @p98 :rule evaluate :args ((not true))) % 0.44/0.67 (step @p99 :rule eq-refl :args (@t5)) % 0.44/0.67 (step @p100 :rule cong :premises (@p99) :args (@t160)) % 0.44/0.67 (step @p101 :rule trans :premises (@p100 @p98)) % 0.44/0.67 (step @p102 :rule refl :args (@t159)) % 0.44/0.67 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t161)) % 0.44/0.67 (step @p104 :rule trans :premises (@p103 @p97)) % 0.44/0.67 (step @p105 :rule cong :premises (@p104) :args ((forall @t162 @t161))) % 0.44/0.67 (step @p106 :rule quant-var-elim-eq :args ((= (forall @t164 @t163) @t161))) % 0.44/0.67 (step @p107 :rule aci_norm :args ((= @t19 @t163))) % 0.44/0.67 (step @p108 :rule cong :premises (@p107) :args (@t165)) % 0.44/0.67 (step @p109 :rule trans :premises (@p108 @p106)) % 0.44/0.67 (step @p110 :rule cong :premises (@p109) :args (@t166)) % 0.44/0.67 (step @p111 :rule quant-merge-prenex :args ((= @t166 @t20))) % 0.44/0.67 (step @p112 :rule symm :premises (@p111)) % 0.44/0.67 (step @p113 :rule trans :premises (@p112 @p110)) % 0.44/0.67 (step @p114 :rule trans :premises (@p113 @p105)) % 0.44/0.67 (step @p115 :rule eq_resolve :premises (@p7 @p114)) % 0.44/0.67 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t44))) % 0.44/0.67 (step @p117 :rule false_intro :premises (@p116)) % 0.44/0.67 (step @p118 :rule refl :args (@t44)) % 0.44/0.67 (step @p119 :rule cong :premises (@p20 @p118) :args (@t167)) % 0.44/0.67 (step @p120 :rule aci_norm :args ((= (or @t169 false @t168) (or @t169 @t168)))) % 0.44/0.67 (step @p121 :rule refl :args (@t168)) % 0.44/0.67 (step @p122 :rule eq-refl :args (@t8)) % 0.44/0.67 (step @p123 :rule cong :premises (@p122) :args (@t170)) % 0.44/0.67 (step @p124 :rule trans :premises (@p123 @p98)) % 0.44/0.67 (step @p125 :rule refl :args (@t169)) % 0.44/0.67 (step @p126 :rule nary_cong :premises (@p125 @p124 @p121) :args (@t171)) % 0.44/0.67 (step @p127 :rule trans :premises (@p126 @p120)) % 0.44/0.67 (step @p128 :rule cong :premises (@p127) :args ((forall @t172 @t171))) % 0.44/0.67 (step @p129 :rule quant-var-elim-eq :args ((= (forall @t164 @t175) @t171))) % 0.44/0.67 (step @p130 :rule aci_norm :args ((= @t176 @t175))) % 0.44/0.67 (step @p131 :rule cong :premises (@p130) :args (@t177)) % 0.44/0.67 (step @p132 :rule trans :premises (@p131 @p129)) % 0.44/0.67 (step @p133 :rule cong :premises (@p132) :args (@t178)) % 0.44/0.67 (step @p134 :rule quant-merge-prenex :args ((= @t178 @t179))) % 0.44/0.67 (step @p135 :rule symm :premises (@p134)) % 0.44/0.67 (step @p136 :rule quant_var_reordering :args ((= (forall @t12 @t176) @t179))) % 0.44/0.67 (step @p137 :rule trans :premises (@p136 @p135 @p133)) % 0.44/0.67 (step @p138 :rule trans :premises (@p137 @p128)) % 0.44/0.67 (step @p139 :rule refl :args (@t6)) % 0.44/0.67 (step @p140 :rule eq-symm :args (@t8 @t4)) % 0.44/0.67 (step @p141 :rule cong :premises (@p140) :args (@t13)) % 0.44/0.67 (step @p142 :rule eq-symm :args (@t10 @t7)) % 0.44/0.67 (step @p143 :rule nary_cong :premises (@p142 @p141 @p139) :args (@t14)) % 0.44/0.67 (step @p144 :rule cong :premises (@p143) :args (@t15)) % 0.44/0.67 (step @p145 :rule trans :premises (@p144 @p138)) % 0.44/0.67 (step @p146 :rule eq_resolve :premises (@p5 @p145)) % 0.44/0.67 (step @p147 :rule instantiate :premises (@p146) :args ((@list tptp.n1 tptp.n0))) % 0.44/0.67 (step @p148 :rule refl :args (@t49)) % 0.44/0.67 (step @p149 :rule eq-symm :args (@t50 tptp.n0)) % 0.44/0.67 (step @p150 :rule cong :premises (@p149) :args (@t51)) % 0.44/0.67 (step @p151 :rule nary_cong :premises (@p150 @p148) :args (@t52)) % 0.44/0.67 (step @p152 :rule cong :premises (@p151) :args (@t53)) % 0.44/0.67 (step @p153 :rule eq_resolve :premises (@p24 @p152)) % 0.44/0.67 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t157))) % 0.44/0.67 (step @p155 :rule cnf_or_pos :args (@t182)) % 0.44/0.67 (step @p156 :rule reordering :premises (@p155) :args ((or @t158 @t181 (not @t182)))) % 0.44/0.67 (step @p157 :rule chain_m_resolution :premises (@p156 @p95 @p154) :args (@t181 @t183 (@list @t158 @t182))) % 0.44/0.67 (step @p158 :rule false_intro :premises (@p157)) % 0.44/0.67 (step @p159 :rule instantiate :premises (@p71) :args (@t184)) % 0.44/0.67 (step @p160 :rule instantiate :premises (@p2) :args ((@list tptp.n0))) % 0.44/0.67 (step @p161 :rule true_intro :premises (@p160)) % 0.44/0.67 (step @p162 :rule refl :args (tptp.n0)) % 0.44/0.67 (step @p163 :rule instantiate :premises (@p21) :args (@t184)) % 0.44/0.67 (step @p164 :rule symm :premises (@p163)) % 0.44/0.67 (step @p165 :rule trans :premises (@p164 @p91 @p20)) % 0.44/0.67 (step @p166 :rule cong :premises (@p165 @p162) :args (@t186)) % 0.44/0.67 (step @p167 :rule trans :premises (@p166 @p161)) % 0.44/0.67 (step @p168 :rule true_elim :premises (@p167)) % 0.44/0.67 (step @p169 :rule cnf_or_pos :args (@t190)) % 0.44/0.67 (step @p170 :rule reordering :premises (@p169) :args ((or @t154 @t156 @t189 @t188 @t187 (not @t190)))) % 0.44/0.67 (step @p171 :rule chain_m_resolution :premises (@p170 @p92 @p94 @p93 @p168 @p159) :args (@t187 (@list true true false false false) (@list @t154 @t156 @t155 @t186 @t190))) % 0.44/0.67 (step @p172 :rule symm :premises (@p171)) % 0.44/0.67 (step @p173 :rule refl :args (tptp.n1)) % 0.44/0.67 (step @p174 :rule symm :premises (@p91)) % 0.44/0.67 (step @p175 :rule symm :premises (@p20)) % 0.44/0.67 (step @p176 :rule trans :premises (@p175 @p174 @p163)) % 0.44/0.67 (step @p177 :rule cong :premises (@p176 @p173) :args (@t191)) % 0.44/0.67 (step @p178 :rule trans :premises (@p177 @p172)) % 0.44/0.67 (step @p179 :rule cong :premises (@p162 @p178) :args (@t192)) % 0.44/0.67 (step @p180 :rule trans :premises (@p179 @p158)) % 0.44/0.67 (step @p181 :rule false_elim :premises (@p180)) % 0.44/0.67 (step @p182 :rule cnf_or_pos :args (@t193)) % 0.44/0.67 (step @p183 :rule reordering :premises (@p182) :args ((or @t192 @t167 (not @t193)))) % 0.44/0.67 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p147) :args (@t167 @t183 (@list @t192 @t193))) % 0.44/0.67 (step @p185 :rule true_intro :premises (@p184)) % 0.44/0.67 (step @p186 :rule symm :premises (@p185)) % 0.44/0.67 (step @p187 :rule trans :premises (@p186 @p119 @p117)) % 0.44/0.67 (step @p188 false :rule eq_resolve :premises (@p187 @p96)) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------