%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV018-1 : 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 : n020.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 08:23:06 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWV018-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 02:18:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.65 % SZS status Unsatisfiable % 0.46/0.65 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.t_139 $$unsorted) % 0.46/0.66 (declare-const tptp.p_Wr (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Mem (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Rd_error (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Wr_error (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Data_out (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.wr_level (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.n1 $$unsorted) % 0.46/0.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.p_Rd (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Full (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.fifo_length $$unsorted) % 0.46/0.66 (declare-const tptp.def_10 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Data_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.n0 $$unsorted) % 0.46/0.66 (declare-const tptp.int_level (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.rd_level (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.level (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.y_27 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.p_Empty (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.p_Reset (-> $$unsorted Bool)) % 0.46/0.66 (define @t1 () (@var "X_0" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "X_1" $$unsorted)) % 0.46/0.66 (define @t3 () (@var "X_2" $$unsorted)) % 0.46/0.66 (define @t4 () (@var "X_3" $$unsorted)) % 0.46/0.66 (define @t5 () (@var "Y_4" $$unsorted)) % 0.46/0.66 (define @t6 () (tptp.def_10 @t5 @t4)) % 0.46/0.66 (define @t7 () (@var "Z_5" $$unsorted)) % 0.46/0.66 (define @t8 () (= (tptp.plus @t7 @t5) @t4)) % 0.46/0.66 (define @t9 () (= (tptp.minus @t4 @t5) @t7)) % 0.46/0.66 (define @t10 () (@list @t4 @t5 @t7)) % 0.46/0.66 (define @t11 () (not @t6)) % 0.46/0.66 (define @t12 () (@list @t5 @t4)) % 0.46/0.66 (define @t13 () (@var "X_11" $$unsorted)) % 0.46/0.66 (define @t14 () (@var "Y_12" $$unsorted)) % 0.46/0.66 (define @t15 () (tptp.gt (tptp.plus @t14 tptp.n1) (tptp.plus @t13 tptp.n1))) % 0.46/0.66 (define @t16 () (tptp.gt @t14 @t13)) % 0.46/0.66 (define @t17 () (@list @t14 @t13)) % 0.46/0.66 (define @t18 () (@var "X_13" $$unsorted)) % 0.46/0.66 (define @t19 () (@var "Y_14" $$unsorted)) % 0.46/0.66 (define @t20 () (@var "Y_16" $$unsorted)) % 0.46/0.66 (define @t21 () (@var "X_15" $$unsorted)) % 0.46/0.66 (define @t22 () (@var "Y_18" $$unsorted)) % 0.46/0.66 (define @t23 () (@var "X_17" $$unsorted)) % 0.46/0.66 (define @t24 () (@var "X_19" $$unsorted)) % 0.46/0.66 (define @t25 () (@var "Y_20" $$unsorted)) % 0.46/0.66 (define @t26 () (@var "Z_21" $$unsorted)) % 0.46/0.66 (define @t27 () (@var "X_23" $$unsorted)) % 0.46/0.66 (define @t28 () (tptp.plus @t27 tptp.n1)) % 0.46/0.66 (define @t29 () (@var "Y_24" $$unsorted)) % 0.46/0.66 (define @t30 () (@var "X_25" $$unsorted)) % 0.46/0.66 (define @t31 () (@var "X_26" $$unsorted)) % 0.46/0.66 (define @t32 () (@var "X_28" $$unsorted)) % 0.46/0.66 (define @t33 () (@var "Y_30" $$unsorted)) % 0.46/0.66 (define @t34 () (@var "X_29" $$unsorted)) % 0.46/0.66 (define @t35 () (@var "X_31" $$unsorted)) % 0.46/0.66 (define @t36 () (@var "X_t_32" $$unsorted)) % 0.46/0.66 (define @t37 () (@var "X_t_33" $$unsorted)) % 0.46/0.66 (define @t38 () (tptp.p_Full @t37)) % 0.46/0.66 (define @t39 () (tptp.int_level @t37)) % 0.46/0.66 (define @t40 () (not (= @t39 tptp.fifo_length))) % 0.46/0.66 (define @t41 () (or @t40 @t38)) % 0.46/0.66 (define @t42 () (forall (@list @t37) @t41)) % 0.46/0.66 (define @t43 () (@var "X_t_34" $$unsorted)) % 0.46/0.66 (define @t44 () (not (tptp.p_Full @t43))) % 0.46/0.66 (define @t45 () (tptp.int_level @t43)) % 0.46/0.66 (define @t46 () (or (= @t45 tptp.fifo_length) @t44)) % 0.46/0.66 (define @t47 () (forall (@list @t43) @t46)) % 0.46/0.66 (define @t48 () (@var "X_t_35" $$unsorted)) % 0.46/0.66 (define @t49 () (@var "X_t_36" $$unsorted)) % 0.46/0.66 (define @t50 () (@var "X_t_37" $$unsorted)) % 0.46/0.66 (define @t51 () (tptp.plus @t50 tptp.n1)) % 0.46/0.66 (define @t52 () (not (tptp.p_Reset @t50))) % 0.46/0.66 (define @t53 () (@list @t50)) % 0.46/0.66 (define @t54 () (@var "X_k2_39" $$unsorted)) % 0.46/0.66 (define @t55 () (@var "X_k1_38" $$unsorted)) % 0.46/0.66 (define @t56 () (@var "X_k1_40" $$unsorted)) % 0.46/0.66 (define @t57 () (@var "X_t_42" $$unsorted)) % 0.46/0.66 (define @t58 () (tptp.rd_level @t57)) % 0.46/0.66 (define @t59 () (tptp.plus @t57 tptp.n1)) % 0.46/0.66 (define @t60 () (tptp.rd_level @t59)) % 0.46/0.66 (define @t61 () (= @t60 @t58)) % 0.46/0.66 (define @t62 () (tptp.p_Rd @t57)) % 0.46/0.66 (define @t63 () (tptp.p_Wr @t57)) % 0.46/0.66 (define @t64 () (not @t63)) % 0.46/0.66 (define @t65 () (tptp.p_Reset @t57)) % 0.46/0.66 (define @t66 () (@list @t57)) % 0.46/0.66 (define @t67 () (tptp.p_Wr_error @t59)) % 0.46/0.66 (define @t68 () (not @t67)) % 0.46/0.66 (define @t69 () (tptp.int_level @t57)) % 0.46/0.66 (define @t70 () (tptp.gt tptp.fifo_length @t69)) % 0.46/0.66 (define @t71 () (not @t70)) % 0.46/0.66 (define @t72 () (tptp.int_level @t59)) % 0.46/0.66 (define @t73 () (= @t72 (tptp.plus @t69 tptp.n1))) % 0.46/0.66 (define @t74 () (@var "X_k1_43" $$unsorted)) % 0.46/0.66 (define @t75 () (tptp.p_Data_in @t74 @t57)) % 0.46/0.66 (define @t76 () (tptp.wr_level @t57)) % 0.46/0.66 (define @t77 () (tptp.p_Mem @t76 @t74 @t59)) % 0.46/0.66 (define @t78 () (@list @t57 @t74)) % 0.46/0.66 (define @t79 () (@var "X_k1_48" $$unsorted)) % 0.46/0.66 (define @t80 () (@var "X_c1_47" $$unsorted)) % 0.46/0.66 (define @t81 () (tptp.p_Mem @t80 @t79 @t57)) % 0.46/0.66 (define @t82 () (tptp.p_Mem @t80 @t79 @t59)) % 0.46/0.66 (define @t83 () (= @t80 @t76)) % 0.46/0.66 (define @t84 () (@list @t57 @t80 @t79)) % 0.46/0.66 (define @t85 () (tptp.wr_level @t59)) % 0.46/0.66 (define @t86 () (= @t85 (tptp.plus @t76 tptp.n1))) % 0.46/0.66 (define @t87 () (tptp.minus tptp.fifo_length tptp.n1)) % 0.46/0.66 (define @t88 () (tptp.gt @t87 @t76)) % 0.46/0.66 (define @t89 () (not @t88)) % 0.46/0.66 (define @t90 () (= @t85 tptp.n0)) % 0.46/0.66 (define @t91 () (= @t85 @t76)) % 0.46/0.66 (define @t92 () (= @t72 @t69)) % 0.46/0.66 (define @t93 () (or @t65 @t64 @t62 @t70 @t92)) % 0.46/0.66 (define @t94 () (forall @t66 @t93)) % 0.46/0.66 (define @t95 () (@var "X_k2_58" $$unsorted)) % 0.46/0.66 (define @t96 () (@var "X_k1_57" $$unsorted)) % 0.46/0.66 (define @t97 () (tptp.p_Mem @t96 @t95 @t57)) % 0.46/0.66 (define @t98 () (tptp.p_Mem @t96 @t95 @t59)) % 0.46/0.66 (define @t99 () (@list @t57 @t96 @t95)) % 0.46/0.66 (define @t100 () (@var "X_k1_64" $$unsorted)) % 0.46/0.66 (define @t101 () (tptp.p_Data_out @t100 @t57)) % 0.46/0.66 (define @t102 () (tptp.p_Data_out @t100 @t59)) % 0.46/0.66 (define @t103 () (@list @t57 @t100)) % 0.46/0.66 (define @t104 () (tptp.p_Rd_error @t57)) % 0.46/0.66 (define @t105 () (tptp.p_Rd_error @t59)) % 0.46/0.66 (define @t106 () (not @t105)) % 0.46/0.66 (define @t107 () (not @t104)) % 0.46/0.66 (define @t108 () (not @t62)) % 0.46/0.66 (define @t109 () (tptp.gt @t69 tptp.n0)) % 0.46/0.66 (define @t110 () (not @t109)) % 0.46/0.66 (define @t111 () (@var "X_k1_73" $$unsorted)) % 0.46/0.66 (define @t112 () (tptp.p_Mem @t58 @t111 @t57)) % 0.46/0.66 (define @t113 () (tptp.p_Data_out @t111 @t59)) % 0.46/0.66 (define @t114 () (@list @t57 @t111)) % 0.46/0.66 (define @t115 () (= @t60 (tptp.plus @t58 tptp.n1))) % 0.46/0.66 (define @t116 () (tptp.gt @t87 @t58)) % 0.46/0.66 (define @t117 () (not @t116)) % 0.46/0.66 (define @t118 () (= @t60 tptp.n0)) % 0.46/0.66 (define @t119 () (@var "X_k1_81" $$unsorted)) % 0.46/0.66 (define @t120 () (tptp.p_Data_out @t119 @t57)) % 0.46/0.66 (define @t121 () (tptp.p_Data_out @t119 @t59)) % 0.46/0.66 (define @t122 () (@list @t57 @t119)) % 0.46/0.66 (define @t123 () (@var "X_k1_87" $$unsorted)) % 0.46/0.66 (define @t124 () (tptp.p_Data_in @t123 @t57)) % 0.46/0.66 (define @t125 () (tptp.p_Mem @t76 @t123 @t59)) % 0.46/0.66 (define @t126 () (@list @t57 @t123)) % 0.46/0.66 (define @t127 () (@var "X_k1_92" $$unsorted)) % 0.46/0.66 (define @t128 () (@var "X_c1_91" $$unsorted)) % 0.46/0.66 (define @t129 () (tptp.p_Mem @t128 @t127 @t57)) % 0.46/0.66 (define @t130 () (tptp.p_Mem @t128 @t127 @t59)) % 0.46/0.66 (define @t131 () (= @t128 @t76)) % 0.46/0.66 (define @t132 () (@list @t57 @t128 @t127)) % 0.46/0.66 (define @t133 () (@var "X_k1_103" $$unsorted)) % 0.46/0.66 (define @t134 () (tptp.p_Mem @t58 @t133 @t57)) % 0.46/0.66 (define @t135 () (tptp.p_Data_out @t133 @t59)) % 0.46/0.66 (define @t136 () (@list @t57 @t133)) % 0.46/0.66 (define @t137 () (@var "X_k1_111" $$unsorted)) % 0.46/0.66 (define @t138 () (tptp.p_Data_out @t137 @t57)) % 0.46/0.66 (define @t139 () (tptp.p_Data_out @t137 @t59)) % 0.46/0.66 (define @t140 () (@list @t57 @t137)) % 0.46/0.66 (define @t141 () (@var "X_k1_119" $$unsorted)) % 0.46/0.66 (define @t142 () (tptp.p_Data_out @t141 @t57)) % 0.46/0.66 (define @t143 () (tptp.p_Data_out @t141 @t59)) % 0.46/0.66 (define @t144 () (@list @t57 @t141)) % 0.46/0.66 (define @t145 () (@var "X_k2_129" $$unsorted)) % 0.46/0.66 (define @t146 () (@var "X_k1_128" $$unsorted)) % 0.46/0.66 (define @t147 () (tptp.p_Mem @t146 @t145 @t57)) % 0.46/0.66 (define @t148 () (tptp.p_Mem @t146 @t145 @t59)) % 0.46/0.66 (define @t149 () (@list @t57 @t146 @t145)) % 0.46/0.66 (define @t150 () (tptp.p_Wr_error @t57)) % 0.46/0.66 (define @t151 () (tptp.p_Rd tptp.t_139)) % 0.46/0.66 (define @t152 () (tptp.p_Wr tptp.t_139)) % 0.46/0.66 (define @t153 () (tptp.p_Full tptp.t_139)) % 0.46/0.66 (define @t154 () (tptp.p_Reset tptp.t_139)) % 0.46/0.66 (define @t155 () (tptp.plus tptp.t_139 tptp.n1)) % 0.46/0.66 (define @t156 () (tptp.p_Wr_error @t155)) % 0.46/0.66 (define @t157 () (tptp.p_Full @t155)) % 0.46/0.66 (define @t158 () (not @t157)) % 0.46/0.66 (define @t159 () (@list tptp.t_139)) % 0.46/0.66 (define @t160 () (not @t153)) % 0.46/0.66 (define @t161 () (tptp.int_level tptp.t_139)) % 0.46/0.66 (define @t162 () (= tptp.fifo_length @t161)) % 0.46/0.66 (define @t163 () (or @t162 @t160)) % 0.46/0.66 (define @t164 () (tptp.int_level @t155)) % 0.46/0.66 (define @t165 () (tptp.gt tptp.fifo_length @t161)) % 0.46/0.66 (define @t166 () (not @t152)) % 0.46/0.66 (define @t167 () (or @t154 @t166 @t151 @t165 (= @t161 @t164))) % 0.46/0.66 (define @t168 () (forall @t66 (or @t65 @t64 @t62 @t70 (= @t69 @t72)))) % 0.46/0.66 (define @t169 () (= @t164 @t161)) % 0.46/0.66 (define @t170 () (or @t154 @t166 @t151 @t165 @t169)) % 0.46/0.66 (define @t171 () (@list false)) % 0.46/0.66 (define @t172 () (@list true true false true false)) % 0.46/0.66 (define @t173 () (or @t154 @t166 @t151 @t165 @t156)) % 0.46/0.66 (define @t174 () (= tptp.fifo_length @t164)) % 0.46/0.66 (define @t175 () (not @t174)) % 0.46/0.66 (define @t176 () (or @t175 @t157)) % 0.46/0.66 (define @t177 () (and @t162 @t169)) % 0.46/0.66 (assume @p1 (forall (@list @t1) (not (= (tptp.plus @t1 tptp.n1) tptp.n0)))) % 0.46/0.66 (assume @p2 (forall (@list @t2) (tptp.gt (tptp.plus @t2 tptp.n1) tptp.n0))) % 0.46/0.66 (assume @p3 (forall (@list @t3) (or (not (tptp.gt @t3 tptp.n0)) (tptp.gt @t3 (tptp.minus @t3 tptp.n1))))) % 0.46/0.66 (assume @p4 (forall @t10 (or (not @t9) @t8 @t6))) % 0.46/0.66 (assume @p5 (forall @t10 (or @t9 (not @t8) @t6))) % 0.46/0.66 (assume @p6 (forall @t12 (or @t11 (not (tptp.gt @t4 @t5))))) % 0.46/0.66 (assume @p7 (forall @t12 (or @t11 (not (= @t4 @t5))))) % 0.46/0.66 (assume @p8 (forall @t17 (or (not @t16) @t15))) % 0.46/0.66 (assume @p9 (forall @t17 (or @t16 (not @t15)))) % 0.46/0.66 (assume @p10 (forall (@list @t18 @t19) (or (tptp.gt @t18 @t19) (not (tptp.gt (tptp.plus @t18 tptp.n1) @t19)) (= @t19 @t18)))) % 0.46/0.66 (assume @p11 (forall (@list @t21 @t20) (or (not (tptp.gt (tptp.plus @t21 tptp.n1) @t20)) (tptp.gt @t21 @t20) (= @t21 @t20)))) % 0.46/0.66 (assume @p12 (forall (@list @t22 @t23) (or (tptp.gt @t22 @t23) (= @t23 @t22) (tptp.gt @t23 @t22)))) % 0.46/0.66 (assume @p13 (forall (@list @t26 @t25 @t24) (or (not (tptp.gt @t26 @t25)) (tptp.gt @t26 @t24) (not (tptp.gt @t25 @t24))))) % 0.46/0.66 (assume @p14 (forall (@list @t29 @t27) (or (not (tptp.gt @t29 @t27)) (= @t28 @t29) (tptp.gt @t29 @t28)))) % 0.46/0.66 (assume @p15 (forall (@list @t30) (or (= @t30 tptp.n0) (tptp.gt @t30 tptp.n0)))) % 0.46/0.66 (assume @p16 (forall (@list @t31) (or (= @t31 tptp.n0) (= @t31 (tptp.plus (tptp.y_27 @t31) tptp.n1))))) % 0.46/0.66 (assume @p17 (forall (@list @t32) (not (tptp.gt @t32 @t32)))) % 0.46/0.66 (assume @p18 (forall (@list @t34 @t33) (or (not (= (tptp.plus @t34 tptp.n1) (tptp.plus @t33 tptp.n1))) (= @t34 @t33)))) % 0.46/0.66 (assume @p19 (forall (@list @t35) (= (tptp.plus tptp.n0 @t35) @t35))) % 0.46/0.66 (assume @p20 (= tptp.n1 (tptp.plus tptp.n0 tptp.n1))) % 0.46/0.66 (assume @p21 (forall (@list @t36) (= (tptp.level @t36) (tptp.int_level @t36)))) % 0.46/0.66 (assume @p22 @t42) % 0.46/0.66 (assume @p23 @t47) % 0.46/0.66 (assume @p24 (forall (@list @t48) (or (not (= (tptp.int_level @t48) tptp.n0)) (tptp.p_Empty @t48)))) % 0.46/0.66 (assume @p25 (forall (@list @t49) (or (= (tptp.int_level @t49) tptp.n0) (not (tptp.p_Empty @t49))))) % 0.46/0.66 (assume @p26 (forall @t53 (or @t52 (= (tptp.int_level @t51) tptp.n0)))) % 0.46/0.66 (assume @p27 (forall @t53 (or @t52 (= (tptp.wr_level @t51) tptp.n0)))) % 0.46/0.66 (assume @p28 (forall @t53 (or @t52 (= (tptp.rd_level @t51) tptp.n0)))) % 0.46/0.66 (assume @p29 (forall @t53 (or @t52 (not (tptp.p_Wr_error @t51))))) % 0.46/0.66 (assume @p30 (forall @t53 (or @t52 (not (tptp.p_Rd_error @t51))))) % 0.46/0.66 (assume @p31 (forall (@list @t50 @t55 @t54) (or @t52 (not (tptp.p_Mem @t55 @t54 @t51))))) % 0.46/0.66 (assume @p32 (forall (@list @t50 @t56) (or @t52 (not (tptp.p_Data_out @t56 @t51))))) % 0.46/0.66 (assume @p33 (forall @t66 (or @t65 @t64 @t62 @t61))) % 0.46/0.66 (assume @p34 (forall @t66 (or @t65 @t64 @t62 @t71 @t68))) % 0.46/0.66 (assume @p35 (forall @t66 (or @t65 @t64 @t62 @t71 @t73))) % 0.46/0.66 (assume @p36 (forall @t78 (or @t65 @t64 @t62 @t71 (not @t77) @t75))) % 0.46/0.66 (assume @p37 (forall @t78 (or @t65 @t64 @t62 @t71 @t77 (not @t75)))) % 0.46/0.66 (assume @p38 (forall @t84 (or @t65 @t64 @t62 @t71 @t83 (not @t82) @t81))) % 0.46/0.66 (assume @p39 (forall @t84 (or @t65 @t64 @t62 @t71 @t83 @t82 (not @t81)))) % 0.46/0.66 (assume @p40 (forall @t66 (or @t65 @t64 @t62 @t71 @t89 @t86))) % 0.46/0.66 (assume @p41 (forall @t66 (or @t65 @t64 @t62 @t71 @t88 @t90))) % 0.46/0.66 (assume @p42 (forall @t66 (or @t65 @t64 @t62 @t70 @t67))) % 0.46/0.66 (assume @p43 (forall @t66 (or @t65 @t64 @t62 @t70 @t91))) % 0.46/0.66 (assume @p44 @t94) % 0.46/0.66 (assume @p45 (forall @t99 (or @t65 @t64 @t62 @t70 (not @t98) @t97))) % 0.46/0.66 (assume @p46 (forall @t99 (or @t65 @t64 @t62 @t70 @t98 (not @t97)))) % 0.46/0.66 (assume @p47 (forall @t103 (or @t65 @t64 @t62 (not @t102) @t101))) % 0.46/0.66 (assume @p48 (forall @t103 (or @t65 @t64 @t62 @t102 (not @t101)))) % 0.46/0.66 (assume @p49 (forall @t66 (or @t65 @t64 @t62 @t106 @t104))) % 0.46/0.66 (assume @p50 (forall @t66 (or @t65 @t64 @t62 @t105 @t107))) % 0.46/0.66 (assume @p51 (forall @t66 (or @t65 @t64 @t108 @t68))) % 0.46/0.66 (assume @p52 (forall @t66 (or @t65 @t64 @t108 @t110 @t106))) % 0.46/0.66 (assume @p53 (forall @t66 (or @t65 @t64 @t108 @t110 @t92))) % 0.46/0.66 (assume @p54 (forall @t114 (or @t65 @t64 @t108 @t110 (not @t113) @t112))) % 0.46/0.66 (assume @p55 (forall @t114 (or @t65 @t64 @t108 @t110 @t113 (not @t112)))) % 0.46/0.66 (assume @p56 (forall @t66 (or @t65 @t64 @t108 @t110 @t117 @t115))) % 0.46/0.66 (assume @p57 (forall @t66 (or @t65 @t64 @t108 @t110 @t116 @t118))) % 0.46/0.66 (assume @p58 (forall @t66 (or @t65 @t64 @t108 @t109 @t105))) % 0.46/0.66 (assume @p59 (forall @t66 (or @t65 @t64 @t108 @t109 @t73))) % 0.46/0.66 (assume @p60 (forall @t66 (or @t65 @t64 @t108 @t109 @t61))) % 0.46/0.66 (assume @p61 (forall @t122 (or @t65 @t64 @t108 @t109 (not @t121) @t120))) % 0.46/0.66 (assume @p62 (forall @t122 (or @t65 @t64 @t108 @t109 @t121 (not @t120)))) % 0.46/0.66 (assume @p63 (forall @t126 (or @t65 @t64 @t108 (not @t125) @t124))) % 0.46/0.66 (assume @p64 (forall @t126 (or @t65 @t64 @t108 @t125 (not @t124)))) % 0.46/0.66 (assume @p65 (forall @t132 (or @t65 @t64 @t108 @t131 (not @t130) @t129))) % 0.46/0.66 (assume @p66 (forall @t132 (or @t65 @t64 @t108 @t131 @t130 (not @t129)))) % 0.46/0.66 (assume @p67 (forall @t66 (or @t65 @t64 @t108 @t89 @t86))) % 0.46/0.66 (assume @p68 (forall @t66 (or @t65 @t64 @t108 @t88 @t90))) % 0.46/0.66 (assume @p69 (forall @t66 (or @t65 @t63 @t91))) % 0.46/0.66 (assume @p70 (forall @t66 (or @t65 @t63 @t108 @t110 @t106))) % 0.46/0.66 (assume @p71 (forall @t66 (or @t65 @t63 @t108 @t110 (= @t72 (tptp.minus @t69 tptp.n1))))) % 0.46/0.66 (assume @p72 (forall @t136 (or @t65 @t63 @t108 @t110 (not @t135) @t134))) % 0.46/0.66 (assume @p73 (forall @t136 (or @t65 @t63 @t108 @t110 @t135 (not @t134)))) % 0.46/0.66 (assume @p74 (forall @t66 (or @t65 @t63 @t108 @t110 @t117 @t115))) % 0.46/0.66 (assume @p75 (forall @t66 (or @t65 @t63 @t108 @t110 @t116 @t118))) % 0.46/0.66 (assume @p76 (forall @t66 (or @t65 @t63 @t108 @t109 @t105))) % 0.46/0.66 (assume @p77 (forall @t66 (or @t65 @t63 @t108 @t109 @t61))) % 0.46/0.66 (assume @p78 (forall @t66 (or @t65 @t63 @t108 @t109 @t92))) % 0.46/0.66 (assume @p79 (forall @t140 (or @t65 @t63 @t108 @t109 (not @t139) @t138))) % 0.46/0.66 (assume @p80 (forall @t140 (or @t65 @t63 @t108 @t109 @t139 (not @t138)))) % 0.46/0.66 (assume @p81 (forall @t66 (or @t65 @t63 @t62 @t61))) % 0.46/0.66 (assume @p82 (forall @t66 (or @t65 @t63 @t62 @t92))) % 0.46/0.66 (assume @p83 (forall @t144 (or @t65 @t63 @t62 (not @t143) @t142))) % 0.46/0.66 (assume @p84 (forall @t144 (or @t65 @t63 @t62 @t143 (not @t142)))) % 0.46/0.66 (assume @p85 (forall @t66 (or @t65 @t63 @t62 @t106 @t104))) % 0.46/0.66 (assume @p86 (forall @t66 (or @t65 @t63 @t62 @t105 @t107))) % 0.46/0.66 (assume @p87 (forall @t149 (or @t65 @t63 (not @t148) @t147))) % 0.46/0.66 (assume @p88 (forall @t149 (or @t65 @t63 @t148 (not @t147)))) % 0.46/0.66 (assume @p89 (forall @t66 (or @t65 @t63 @t68 @t150))) % 0.46/0.66 (assume @p90 (forall @t66 (or @t65 @t63 @t67 (not @t150)))) % 0.46/0.66 (assume @p91 (not @t151)) % 0.46/0.66 (assume @p92 @t152) % 0.46/0.66 (assume @p93 @t153) % 0.46/0.66 (assume @p94 (not @t154)) % 0.46/0.66 (assume @p95 (or @t158 (not @t156))) % 0.46/0.66 (step @p96 :rule refl :args (@t44)) % 0.46/0.66 (step @p97 :rule eq-symm :args (@t45 tptp.fifo_length)) % 0.46/0.66 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t46)) % 0.46/0.66 (step @p99 :rule cong :premises (@p98) :args (@t47)) % 0.46/0.66 (step @p100 :rule eq_resolve :premises (@p23 @p99)) % 0.46/0.66 (step @p101 :rule instantiate :premises (@p100) :args (@t159)) % 0.46/0.66 (step @p102 :rule cnf_or_pos :args (@t163)) % 0.46/0.66 (step @p103 :rule reordering :premises (@p102) :args ((or @t160 @t162 (not @t163)))) % 0.46/0.66 (step @p104 :rule chain_m_resolution :premises (@p103 @p93 @p101) :args (@t162 (@list false false) (@list @t153 @t163))) % 0.46/0.66 (step @p105 :rule eq-symm :args (@t72 @t69)) % 0.46/0.66 (step @p106 :rule refl :args (@t70)) % 0.46/0.66 (step @p107 :rule refl :args (@t62)) % 0.46/0.66 (step @p108 :rule refl :args (@t64)) % 0.46/0.66 (step @p109 :rule refl :args (@t65)) % 0.46/0.66 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105) :args (@t93)) % 0.46/0.66 (step @p111 :rule cong :premises (@p110) :args (@t94)) % 0.46/0.66 (step @p112 :rule eq_resolve :premises (@p44 @p111)) % 0.46/0.66 (step @p113 :rule eq-symm :args (@t161 @t164)) % 0.46/0.66 (step @p114 :rule refl :args (@t165)) % 0.46/0.66 (step @p115 :rule refl :args (@t151)) % 0.46/0.66 (step @p116 :rule refl :args (@t166)) % 0.46/0.66 (step @p117 :rule refl :args (@t154)) % 0.46/0.66 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p113) :args (@t167)) % 0.46/0.66 (step @p119 :rule refl :args (@t168)) % 0.46/0.66 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t168 @t167))) % 0.46/0.66 (assume-push @p164 @t168) % 0.46/0.66 (step @p122 :rule instantiate :premises (@p112) :args (@t159)) % 0.46/0.66 (step-pop @p165 :rule scope :premises (@p122)) % 0.46/0.66 (step @p123 :rule process_scope :premises (@p165) :args (@t167)) % 0.46/0.66 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.46/0.66 (step @p126 :rule implies_elim :premises (@p125)) % 0.46/0.66 (step @p127 :rule chain_m_resolution :premises (@p126 @p112) :args (@t170 @t171 (@list @t168))) % 0.46/0.66 (step @p128 :rule instantiate :premises (@p17) :args ((@list @t161))) % 0.46/0.66 (step @p129 :rule false_intro :premises (@p128)) % 0.46/0.66 (step @p130 :rule refl :args (@t161)) % 0.46/0.66 (step @p131 :rule cong :premises (@p104 @p130) :args (@t165)) % 0.46/0.66 (step @p132 :rule trans :premises (@p131 @p129)) % 0.46/0.66 (step @p133 :rule false_elim :premises (@p132)) % 0.46/0.66 (step @p134 :rule cnf_or_pos :args (@t170)) % 0.46/0.66 (step @p135 :rule reordering :premises (@p134) :args ((or @t151 @t154 @t166 @t165 @t169 (not @t170)))) % 0.46/0.66 (step @p136 :rule chain_m_resolution :premises (@p135 @p91 @p94 @p92 @p133 @p127) :args (@t169 @t172 (@list @t151 @t154 @t152 @t165 @t170))) % 0.46/0.66 (step @p137 :rule refl :args (@t38)) % 0.46/0.66 (step @p138 :rule eq-symm :args (@t39 tptp.fifo_length)) % 0.46/0.66 (step @p139 :rule cong :premises (@p138) :args (@t40)) % 0.46/0.66 (step @p140 :rule nary_cong :premises (@p139 @p137) :args (@t41)) % 0.46/0.66 (step @p141 :rule cong :premises (@p140) :args (@t42)) % 0.46/0.66 (step @p142 :rule eq_resolve :premises (@p22 @p141)) % 0.46/0.66 (step @p143 :rule instantiate :premises (@p142) :args ((@list @t155))) % 0.46/0.66 (step @p144 :rule instantiate :premises (@p42) :args (@t159)) % 0.46/0.66 (step @p145 :rule cnf_or_pos :args (@t173)) % 0.46/0.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t151 @t154 @t156 @t166 @t165 (not @t173)))) % 0.46/0.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p91 @p94 @p92 @p133 @p144) :args (@t156 @t172 (@list @t151 @t154 @t152 @t165 @t173))) % 0.46/0.66 (step @p148 :rule chain_m_resolution :premises (@p95 @p147) :args (@t158 @t171 (@list @t156))) % 0.46/0.66 (step @p149 :rule cnf_or_pos :args (@t176)) % 0.46/0.66 (step @p150 :rule reordering :premises (@p149) :args ((or @t157 @t175 (not @t176)))) % 0.46/0.66 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p143) :args (@t175 (@list true false) (@list @t157 @t176))) % 0.46/0.66 (assume-push @p166 @t162) % 0.46/0.66 (assume-push @p167 @t169) % 0.46/0.66 (step @p154 :rule symm :premises (@p136)) % 0.46/0.66 (step @p155 :rule trans :premises (@p104 @p154)) % 0.46/0.66 (step-pop @p168 :rule scope :premises (@p155)) % 0.46/0.66 (step-pop @p169 :rule scope :premises (@p168)) % 0.46/0.66 (step @p156 :rule process_scope :premises (@p169) :args (@t174)) % 0.46/0.66 (step @p159 :rule implies_elim :premises (@p156)) % 0.46/0.66 (step @p160 :rule cnf_and_neg :args (@t177)) % 0.46/0.66 (step @p161 :rule resolution :premises (@p160 @p159) :args (true @t177)) % 0.46/0.66 (step @p162 :rule reordering :premises (@p161) :args ((or @t174 (not @t162) (not @t169)))) % 0.46/0.66 (step @p163 false :rule chain_m_resolution :premises (@p162 @p151 @p136 @p104) :args (false (@list true false false) (@list @t174 @t169 @t162))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------