%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ142^1 : TPTP v9.2.1. Released v6.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:44:18 AM UTC 2026 % Result : Theorem 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ142^1 : TPTP v9.2.1. Released v6.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.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 13:19:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.52/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.73 % SZS status Theorem % 0.52/0.73 % SZS output start Proof % 0.52/0.73 ( % 0.52/0.73 (declare-sort tptp.movelist 0) % 0.52/0.73 (declare-sort tptp.direction 0) % 0.52/0.73 (declare-sort tptp.position 0) % 0.52/0.73 (declare-const tptp.nomove tptp.movelist) % 0.52/0.73 (declare-const tptp.c43 tptp.position) % 0.52/0.73 (declare-const tptp.c42 tptp.position) % 0.52/0.73 (declare-const tptp.c41 tptp.position) % 0.52/0.73 (declare-const tptp.c40 tptp.position) % 0.52/0.73 (declare-const tptp.movedir (-> tptp.movelist tptp.direction tptp.movelist)) % 0.52/0.73 (declare-const tptp.left tptp.direction) % 0.52/0.73 (declare-const tptp.c30 tptp.position) % 0.52/0.73 (declare-const tptp.playerpos (-> tptp.movelist tptp.position)) % 0.52/0.73 (declare-const tptp.top tptp.direction) % 0.52/0.73 (declare-const tptp.c11 tptp.position) % 0.52/0.73 (declare-const tptp.c10 tptp.position) % 0.52/0.73 (declare-const tptp.c00 tptp.position) % 0.52/0.73 (declare-const tptp.wall (-> tptp.position Bool)) % 0.52/0.73 (declare-const tptp.bottom tptp.direction) % 0.52/0.73 (declare-const tptp.c21 tptp.position) % 0.52/0.73 (declare-const tptp.right tptp.direction) % 0.52/0.73 (declare-const tptp.c01 tptp.position) % 0.52/0.73 (declare-const tptp.c20 tptp.position) % 0.52/0.73 (declare-const tptp.next (-> tptp.position tptp.direction tptp.position)) % 0.52/0.73 (declare-const tptp.c02 tptp.position) % 0.52/0.73 (declare-const tptp.c03 tptp.position) % 0.52/0.73 (declare-const tptp.c04 tptp.position) % 0.52/0.73 (declare-const tptp.c12 tptp.position) % 0.52/0.73 (declare-const tptp.c13 tptp.position) % 0.52/0.73 (declare-const tptp.c14 tptp.position) % 0.52/0.73 (declare-const tptp.c22 tptp.position) % 0.52/0.73 (declare-const tptp.c23 tptp.position) % 0.52/0.73 (declare-const tptp.c24 tptp.position) % 0.52/0.73 (declare-const tptp.c31 tptp.position) % 0.52/0.73 (declare-const tptp.c32 tptp.position) % 0.52/0.73 (declare-const tptp.c33 tptp.position) % 0.52/0.73 (declare-const tptp.c34 tptp.position) % 0.52/0.73 (define @t1 () (@var "D1" tptp.direction)) % 0.52/0.73 (define @t2 () (@var "D2" tptp.direction)) % 0.52/0.73 (define @t3 () (@var "P" tptp.position)) % 0.52/0.73 (define @t4 () (_ tptp.next @t3)) % 0.52/0.73 (define @t5 () (_ @t4 @t2)) % 0.52/0.73 (define @t6 () (_ (_ tptp.next @t5) @t1)) % 0.52/0.73 (define @t7 () (_ @t4 @t1)) % 0.52/0.73 (define @t8 () (_ (_ tptp.next @t7) @t2)) % 0.52/0.73 (define @t9 () (= @t8 @t6)) % 0.52/0.73 (define @t10 () (@list @t1 @t2 @t3)) % 0.52/0.73 (define @t11 () (forall @t10 @t9)) % 0.52/0.73 (define @t12 () (@list @t3)) % 0.52/0.73 (define @t13 () (_ @t4 tptp.top)) % 0.52/0.73 (define @t14 () (_ (_ tptp.next @t13) tptp.bottom)) % 0.52/0.73 (define @t15 () (forall @t12 (= @t14 @t3))) % 0.52/0.73 (define @t16 () (@var "D" tptp.direction)) % 0.52/0.73 (define @t17 () (@var "PO" tptp.position)) % 0.52/0.73 (define @t18 () (_ (_ tptp.next @t17) @t16)) % 0.52/0.73 (define @t19 () (@var "M" tptp.movelist)) % 0.52/0.73 (define @t20 () (_ (_ tptp.movedir @t19) @t16)) % 0.52/0.73 (define @t21 () (_ tptp.playerpos @t20)) % 0.52/0.73 (define @t22 () (_ tptp.wall @t18)) % 0.52/0.73 (define @t23 () (not @t22)) % 0.52/0.73 (define @t24 () (=> @t23 (= @t21 @t18))) % 0.52/0.73 (define @t25 () (_ tptp.playerpos @t19)) % 0.52/0.73 (define @t26 () (= @t25 @t17)) % 0.52/0.73 (define @t27 () (=> @t26 @t24)) % 0.52/0.73 (define @t28 () (@list @t17 @t19 @t16)) % 0.52/0.73 (define @t29 () (forall @t28 @t27)) % 0.52/0.73 (define @t30 () (=> @t22 (= @t21 @t17))) % 0.52/0.73 (define @t31 () (=> @t26 @t30)) % 0.52/0.73 (define @t32 () (forall @t28 @t31)) % 0.52/0.73 (define @t33 () (_ tptp.next tptp.c00)) % 0.52/0.73 (define @t34 () (_ @t33 tptp.right)) % 0.52/0.73 (define @t35 () (_ tptp.next tptp.c10)) % 0.52/0.73 (define @t36 () (= tptp.c20 (_ @t35 tptp.right))) % 0.52/0.73 (define @t37 () (_ tptp.next tptp.c20)) % 0.52/0.73 (define @t38 () (= tptp.c30 (_ @t37 tptp.right))) % 0.52/0.73 (define @t39 () (_ tptp.next tptp.c30)) % 0.52/0.73 (define @t40 () (= tptp.c11 (_ @t35 tptp.top))) % 0.52/0.73 (define @t41 () (= tptp.c12 (_ (_ tptp.next tptp.c11) tptp.top))) % 0.52/0.73 (define @t42 () (= tptp.c13 (_ (_ tptp.next tptp.c12) tptp.top))) % 0.52/0.73 (define @t43 () (= tptp.c21 (_ @t37 tptp.top))) % 0.52/0.73 (define @t44 () (= tptp.c22 (_ (_ tptp.next tptp.c21) tptp.top))) % 0.52/0.73 (define @t45 () (= tptp.c31 (_ @t39 tptp.top))) % 0.52/0.73 (define @t46 () (= tptp.c32 (_ (_ tptp.next tptp.c31) tptp.top))) % 0.52/0.73 (define @t47 () (_ tptp.wall tptp.c31)) % 0.52/0.73 (define @t48 () (_ tptp.wall tptp.c12)) % 0.52/0.73 (define @t49 () (_ tptp.wall tptp.c22)) % 0.52/0.73 (define @t50 () (_ tptp.wall tptp.c32)) % 0.52/0.73 (define @t51 () (_ tptp.wall tptp.c13)) % 0.52/0.73 (define @t52 () (_ tptp.playerpos tptp.nomove)) % 0.52/0.73 (define @t53 () (= @t25 tptp.c31)) % 0.52/0.73 (define @t54 () (@list @t19)) % 0.52/0.73 (define @t55 () (exists @t54 @t53)) % 0.52/0.73 (define @t56 () (not @t55)) % 0.52/0.73 (define @t57 () (tptp.playerpos tptp.nomove)) % 0.52/0.73 (define @t58 () (tptp.next tptp.c00 tptp.right)) % 0.52/0.73 (define @t59 () (tptp.next @t58 tptp.top)) % 0.52/0.73 (define @t60 () (_ tptp.next @t58)) % 0.52/0.73 (define @t61 () (_ tptp.next @t34)) % 0.52/0.73 (define @t62 () (_ @t61 tptp.top)) % 0.52/0.73 (define @t63 () (tptp.next @t3 @t2)) % 0.52/0.73 (define @t64 () (tptp.next @t63 @t1)) % 0.52/0.73 (define @t65 () (tptp.next @t3 @t1)) % 0.52/0.73 (define @t66 () (tptp.next @t65 @t2)) % 0.52/0.73 (define @t67 () (tptp.next @t59 tptp.right)) % 0.52/0.73 (define @t68 () (tptp.next @t58 tptp.right)) % 0.52/0.73 (define @t69 () (tptp.next @t68 tptp.top)) % 0.52/0.73 (define @t70 () (forall @t10 (= @t66 @t64))) % 0.52/0.73 (define @t71 () (= @t67 @t69)) % 0.52/0.73 (define @t72 () (@list tptp.top tptp.right @t58)) % 0.52/0.73 (define @t73 () (= @t69 @t67)) % 0.52/0.73 (define @t74 () (@list false)) % 0.52/0.73 (define @t75 () (@list @t70)) % 0.52/0.73 (define @t76 () (tptp.next @t69 tptp.right)) % 0.52/0.73 (define @t77 () (tptp.next @t68 tptp.right)) % 0.52/0.73 (define @t78 () (tptp.next @t77 tptp.top)) % 0.52/0.73 (define @t79 () (= @t76 @t78)) % 0.52/0.73 (define @t80 () (@list tptp.top tptp.right @t68)) % 0.52/0.73 (define @t81 () (= @t78 @t76)) % 0.52/0.73 (define @t82 () (tptp.next @t3 tptp.top)) % 0.52/0.73 (define @t83 () (tptp.next @t82 tptp.bottom)) % 0.52/0.73 (define @t84 () (= @t3 @t14)) % 0.52/0.73 (define @t85 () (@list @t78)) % 0.52/0.73 (define @t86 () (tptp.playerpos @t19)) % 0.52/0.73 (define @t87 () (tptp.next @t86 @t16)) % 0.52/0.73 (define @t88 () (tptp.movedir @t19 @t16)) % 0.52/0.73 (define @t89 () (tptp.playerpos @t88)) % 0.52/0.73 (define @t90 () (= @t89 @t87)) % 0.52/0.73 (define @t91 () (tptp.wall @t87)) % 0.52/0.73 (define @t92 () (or @t91 @t90)) % 0.52/0.73 (define @t93 () (not (= @t86 @t86))) % 0.52/0.73 (define @t94 () (or @t93 @t91 (= @t87 @t89))) % 0.52/0.73 (define @t95 () (@list @t19 @t16)) % 0.52/0.73 (define @t96 () (tptp.next @t17 @t16)) % 0.52/0.73 (define @t97 () (= @t96 @t89)) % 0.52/0.73 (define @t98 () (tptp.wall @t96)) % 0.52/0.73 (define @t99 () (not (= @t17 @t86))) % 0.52/0.73 (define @t100 () (or @t99 @t99 @t98 @t97)) % 0.52/0.73 (define @t101 () (@list @t17)) % 0.52/0.73 (define @t102 () (or @t99 @t98 @t97)) % 0.52/0.73 (define @t103 () (forall @t101 @t102)) % 0.52/0.73 (define @t104 () (forall @t95 @t103)) % 0.52/0.73 (define @t105 () (@list @t19 @t16 @t17)) % 0.52/0.73 (define @t106 () (forall @t105 @t102)) % 0.52/0.73 (define @t107 () (= @t18 @t21)) % 0.52/0.73 (define @t108 () (= @t17 @t25)) % 0.52/0.73 (define @t109 () (not @t108)) % 0.52/0.73 (define @t110 () (or @t109 @t22 @t107)) % 0.52/0.73 (define @t111 () (=> @t23 @t107)) % 0.52/0.73 (define @t112 () (tptp.movedir tptp.nomove tptp.top)) % 0.52/0.73 (define @t113 () (tptp.playerpos @t112)) % 0.52/0.73 (define @t114 () (tptp.next @t57 tptp.top)) % 0.52/0.73 (define @t115 () (tptp.wall @t114)) % 0.52/0.73 (define @t116 () (or @t115 (= @t113 @t114))) % 0.52/0.73 (define @t117 () (forall @t95 @t92)) % 0.52/0.73 (define @t118 () (= @t114 @t113)) % 0.52/0.73 (define @t119 () (or @t115 @t118)) % 0.52/0.73 (define @t120 () (@list @t117)) % 0.52/0.73 (define @t121 () (_ (_ tptp.next @t62) tptp.top)) % 0.52/0.73 (define @t122 () (tptp.next @t59 tptp.top)) % 0.52/0.73 (define @t123 () (tptp.wall @t122)) % 0.52/0.73 (define @t124 () (_ tptp.wall @t121)) % 0.52/0.73 (define @t125 () (@list true false)) % 0.52/0.73 (define @t126 () (= @t86 @t89)) % 0.52/0.73 (define @t127 () (not @t91)) % 0.52/0.73 (define @t128 () (or @t93 @t127 @t126)) % 0.52/0.73 (define @t129 () (= @t17 @t89)) % 0.52/0.73 (define @t130 () (not @t98)) % 0.52/0.73 (define @t131 () (or @t99 @t99 @t130 @t129)) % 0.52/0.73 (define @t132 () (or @t99 @t130 @t129)) % 0.52/0.73 (define @t133 () (forall @t101 @t132)) % 0.52/0.73 (define @t134 () (forall @t95 @t133)) % 0.52/0.73 (define @t135 () (forall @t105 @t132)) % 0.52/0.73 (define @t136 () (= @t17 @t21)) % 0.52/0.73 (define @t137 () (or @t109 @t23 @t136)) % 0.52/0.73 (define @t138 () (=> @t22 @t136)) % 0.52/0.73 (define @t139 () (_ (_ tptp.next @t121) tptp.top)) % 0.52/0.73 (define @t140 () (tptp.next @t122 tptp.top)) % 0.52/0.73 (define @t141 () (tptp.wall @t140)) % 0.52/0.73 (define @t142 () (tptp.next @t113 tptp.top)) % 0.52/0.73 (define @t143 () (tptp.wall @t142)) % 0.52/0.73 (define @t144 () (tptp.movedir @t112 tptp.top)) % 0.52/0.73 (define @t145 () (tptp.playerpos @t144)) % 0.52/0.73 (define @t146 () (= @t113 @t145)) % 0.52/0.73 (define @t147 () (not @t143)) % 0.52/0.73 (define @t148 () (or @t147 @t146)) % 0.52/0.73 (define @t149 () (tptp.movedir @t144 tptp.right)) % 0.52/0.73 (define @t150 () (tptp.playerpos @t149)) % 0.52/0.73 (define @t151 () (tptp.next @t145 tptp.right)) % 0.52/0.73 (define @t152 () (tptp.wall @t151)) % 0.52/0.73 (define @t153 () (or @t152 (= @t150 @t151))) % 0.52/0.73 (define @t154 () (= @t151 @t150)) % 0.52/0.73 (define @t155 () (or @t152 @t154)) % 0.52/0.73 (define @t156 () (_ @t61 tptp.right)) % 0.52/0.73 (define @t157 () (_ tptp.next @t156)) % 0.52/0.73 (define @t158 () (_ @t157 tptp.top)) % 0.52/0.73 (define @t159 () (_ (_ tptp.next @t158) tptp.top)) % 0.52/0.73 (define @t160 () (tptp.next @t69 tptp.top)) % 0.52/0.73 (define @t161 () (tptp.wall @t160)) % 0.52/0.73 (define @t162 () (_ tptp.wall @t159)) % 0.52/0.73 (define @t163 () (_ tptp.next @t68)) % 0.52/0.73 (define @t164 () (tptp.next @t67 tptp.top)) % 0.52/0.73 (define @t165 () (tptp.movedir @t149 tptp.right)) % 0.52/0.73 (define @t166 () (tptp.playerpos @t165)) % 0.52/0.73 (define @t167 () (tptp.next @t150 tptp.right)) % 0.52/0.73 (define @t168 () (tptp.wall @t167)) % 0.52/0.73 (define @t169 () (or @t168 (= @t166 @t167))) % 0.52/0.73 (define @t170 () (= @t167 @t166)) % 0.52/0.73 (define @t171 () (or @t168 @t170)) % 0.52/0.73 (define @t172 () (_ @t157 tptp.right)) % 0.52/0.73 (define @t173 () (_ (_ tptp.next @t172) tptp.top)) % 0.52/0.73 (define @t174 () (_ (_ tptp.next @t173) tptp.top)) % 0.52/0.73 (define @t175 () (tptp.next @t78 tptp.top)) % 0.52/0.73 (define @t176 () (tptp.wall @t175)) % 0.52/0.73 (define @t177 () (_ tptp.wall @t174)) % 0.52/0.73 (define @t178 () (tptp.next @t76 tptp.top)) % 0.52/0.73 (define @t179 () (tptp.movedir @t165 tptp.bottom)) % 0.52/0.73 (define @t180 () (tptp.playerpos @t179)) % 0.52/0.73 (define @t181 () (tptp.next @t166 tptp.bottom)) % 0.52/0.73 (define @t182 () (tptp.wall @t181)) % 0.52/0.73 (define @t183 () (or @t182 (= @t180 @t181))) % 0.52/0.73 (define @t184 () (= @t181 @t180)) % 0.52/0.73 (define @t185 () (or @t182 @t184)) % 0.52/0.73 (define @t186 () (tptp.wall @t78)) % 0.52/0.73 (define @t187 () (_ tptp.wall @t173)) % 0.52/0.73 (define @t188 () (@list @t182 @t185)) % 0.52/0.73 (define @t189 () (= @t86 @t173)) % 0.52/0.73 (define @t190 () (not @t189)) % 0.52/0.73 (define @t191 () (not (= @t173 @t86))) % 0.52/0.73 (define @t192 () (= tptp.c31 @t86)) % 0.52/0.73 (define @t193 () (not @t192)) % 0.52/0.73 (define @t194 () (forall @t54 @t193)) % 0.52/0.73 (define @t195 () (not (= @t86 tptp.c31))) % 0.52/0.73 (define @t196 () (not @t53)) % 0.52/0.73 (define @t197 () (forall @t54 @t196)) % 0.52/0.73 (define @t198 () (not @t197)) % 0.52/0.73 (define @t199 () (not (= @t180 @t78))) % 0.52/0.73 (define @t200 () (forall @t54 (not (= @t86 @t78)))) % 0.52/0.73 (define @t201 () (= @t78 @t180)) % 0.52/0.73 (define @t202 () (not @t201)) % 0.52/0.73 (define @t203 () (not @t184)) % 0.52/0.73 (define @t204 () (not @t170)) % 0.52/0.73 (define @t205 () (not @t154)) % 0.52/0.73 (define @t206 () (not @t146)) % 0.52/0.73 (define @t207 () (tptp.next @t160 tptp.right)) % 0.52/0.73 (define @t208 () (= @t207 @t178)) % 0.52/0.73 (define @t209 () (not @t208)) % 0.52/0.73 (define @t210 () (tptp.next @t122 tptp.right)) % 0.52/0.73 (define @t211 () (= @t210 @t164)) % 0.52/0.73 (define @t212 () (not @t211)) % 0.52/0.73 (define @t213 () (not @t118)) % 0.52/0.73 (define @t214 () (tptp.next @t175 tptp.bottom)) % 0.52/0.73 (define @t215 () (= @t78 @t214)) % 0.52/0.73 (define @t216 () (not @t215)) % 0.52/0.73 (define @t217 () (not @t81)) % 0.52/0.73 (define @t218 () (not @t73)) % 0.52/0.73 (define @t219 () (= @t59 @t57)) % 0.52/0.73 (define @t220 () (not @t219)) % 0.52/0.73 (define @t221 () (and @t202 @t201)) % 0.52/0.73 (assume @p1 @t11) % 0.52/0.73 (assume @p2 (forall @t12 (= (_ (_ tptp.next (_ @t4 tptp.left)) tptp.right) @t3))) % 0.52/0.73 (assume @p3 @t15) % 0.52/0.73 (assume @p4 @t29) % 0.52/0.73 (assume @p5 @t32) % 0.52/0.73 (assume @p6 (= tptp.c10 @t34)) % 0.52/0.73 (assume @p7 @t36) % 0.52/0.73 (assume @p8 @t38) % 0.52/0.73 (assume @p9 (= tptp.c40 (_ @t39 tptp.right))) % 0.52/0.73 (assume @p10 (= tptp.c01 (_ @t33 tptp.top))) % 0.52/0.73 (assume @p11 (= tptp.c02 (_ (_ tptp.next tptp.c01) tptp.top))) % 0.52/0.73 (assume @p12 (= tptp.c03 (_ (_ tptp.next tptp.c02) tptp.top))) % 0.52/0.73 (assume @p13 (= tptp.c04 (_ (_ tptp.next tptp.c03) tptp.top))) % 0.52/0.73 (assume @p14 @t40) % 0.52/0.73 (assume @p15 @t41) % 0.52/0.73 (assume @p16 @t42) % 0.52/0.73 (assume @p17 (= tptp.c14 (_ (_ tptp.next tptp.c13) tptp.top))) % 0.52/0.73 (assume @p18 @t43) % 0.52/0.73 (assume @p19 @t44) % 0.52/0.73 (assume @p20 (= tptp.c23 (_ (_ tptp.next tptp.c22) tptp.top))) % 0.52/0.73 (assume @p21 (= tptp.c24 (_ (_ tptp.next tptp.c23) tptp.top))) % 0.52/0.73 (assume @p22 @t45) % 0.52/0.73 (assume @p23 @t46) % 0.52/0.73 (assume @p24 (= tptp.c33 (_ (_ tptp.next tptp.c32) tptp.top))) % 0.52/0.73 (assume @p25 (= tptp.c34 (_ (_ tptp.next tptp.c33) tptp.top))) % 0.52/0.73 (assume @p26 (= (_ tptp.wall tptp.c00) true)) % 0.52/0.73 (assume @p27 (= (_ tptp.wall tptp.c10) true)) % 0.52/0.73 (assume @p28 (= (_ tptp.wall tptp.c20) true)) % 0.52/0.73 (assume @p29 (= (_ tptp.wall tptp.c30) true)) % 0.52/0.73 (assume @p30 (= (_ tptp.wall tptp.c40) true)) % 0.52/0.73 (assume @p31 (= (_ tptp.wall tptp.c01) true)) % 0.52/0.73 (assume @p32 (= (_ tptp.wall tptp.c11) false)) % 0.52/0.73 (assume @p33 (= (_ tptp.wall tptp.c21) true)) % 0.52/0.73 (assume @p34 (= @t47 false)) % 0.52/0.73 (assume @p35 (= (_ tptp.wall tptp.c41) true)) % 0.52/0.73 (assume @p36 (= (_ tptp.wall tptp.c02) true)) % 0.52/0.73 (assume @p37 (= @t48 false)) % 0.52/0.73 (assume @p38 (= @t49 false)) % 0.52/0.73 (assume @p39 (= @t50 false)) % 0.52/0.73 (assume @p40 (= (_ tptp.wall tptp.c42) true)) % 0.52/0.73 (assume @p41 (= (_ tptp.wall tptp.c03) true)) % 0.52/0.73 (assume @p42 (= @t51 true)) % 0.52/0.73 (assume @p43 (= (_ tptp.wall tptp.c23) true)) % 0.52/0.73 (assume @p44 (= (_ tptp.wall tptp.c33) true)) % 0.52/0.73 (assume @p45 (= (_ tptp.wall tptp.c43) true)) % 0.52/0.73 (assume @p46 (= @t52 tptp.c11)) % 0.52/0.73 (assume @p47 @t56) % 0.52/0.73 (assume @p48 true) % 0.52/0.73 (step @p49 :rule eq-symm :args (@t57 @t59)) % 0.52/0.73 (step @p50 :rule refl :args ((tptp.next @t34 tptp.top))) % 0.52/0.73 (step @p51 :rule refl :args (tptp.top)) % 0.52/0.73 (step @p52 :rule refl :args (@t58)) % 0.52/0.73 (step @p53 :rule cong :premises (@p52 @p51) :args (@t59)) % 0.52/0.73 (step @p54 :rule trans :premises (@p53 @p50)) % 0.52/0.73 (step @p55 :rule refl :args (tptp.next)) % 0.52/0.73 (step @p56 :rule ho_cong :premises (@p55 @p52)) % 0.52/0.73 (step @p57 :rule ho_cong :premises (@p56 @p51)) % 0.52/0.73 (step @p58 :rule cong :premises (@p57 @p54) :args ((= (_ @t60 tptp.top) @t59))) % 0.52/0.73 (step @p59 :rule symm :premises (@p58)) % 0.52/0.73 (step @p60 :rule refl :args (@t62)) % 0.52/0.73 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.52/0.73 (step @p62 :rule refl :args (tptp.top)) % 0.52/0.73 (step @p63 :rule refl :args (@t34)) % 0.52/0.73 (step @p64 :rule cong :premises (@p63 @p52) :args ((= @t34 @t58))) % 0.52/0.73 (step @p65 :rule symm :premises (@p64)) % 0.52/0.73 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.52/0.73 (step @p67 :rule refl :args (tptp.next)) % 0.52/0.73 (step @p68 :rule ho_cong :premises (@p67 @p66)) % 0.52/0.73 (step @p69 :rule ho_cong :premises (@p68 @p62)) % 0.52/0.73 (step @p70 :rule trans :premises (@p69 @p61)) % 0.52/0.73 (step @p71 :rule refl :args (@t57)) % 0.52/0.73 (step @p72 :rule refl :args (@t52)) % 0.52/0.73 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t52 @t57))) % 0.52/0.73 (step @p74 :rule symm :premises (@p73)) % 0.52/0.73 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.52/0.73 (step @p76 :rule cong :premises (@p75 @p70) :args ((= @t52 @t62))) % 0.52/0.73 (step @p77 :rule trans :premises (@p76 @p49)) % 0.52/0.73 (step @p78 :rule eq-symm :args (@t62 @t52)) % 0.52/0.73 (step @p79 :rule refl :args (@t52)) % 0.52/0.73 (step @p80 :rule ho_cong :premises (@p67 @p6)) % 0.52/0.73 (step @p81 :rule ho_cong :premises (@p80 @p62)) % 0.52/0.73 (step @p82 :rule refl :args (tptp.c11)) % 0.52/0.73 (step @p83 :rule cong :premises (@p82 @p81) :args (@t40)) % 0.52/0.73 (step @p84 :rule eq_resolve :premises (@p14 @p83)) % 0.52/0.73 (step @p85 :rule cong :premises (@p84 @p79) :args ((= tptp.c11 @t52))) % 0.52/0.73 (step @p86 :rule trans :premises (@p85 @p78)) % 0.52/0.73 (step @p87 :rule eq-symm :args (@t52 tptp.c11)) % 0.52/0.73 (step @p88 :rule trans :premises (@p87 @p86 @p77)) % 0.52/0.73 (step @p89 :rule eq_resolve :premises (@p46 @p88)) % 0.52/0.73 (step @p90 :rule refl :args ((tptp.next @t5 @t1))) % 0.52/0.73 (step @p91 :rule refl :args (@t1)) % 0.52/0.73 (step @p92 :rule refl :args (@t63)) % 0.52/0.73 (step @p93 :rule cong :premises (@p92 @p91) :args (@t64)) % 0.52/0.73 (step @p94 :rule trans :premises (@p93 @p90)) % 0.52/0.73 (step @p95 :rule ho_cong :premises (@p55 @p92)) % 0.52/0.73 (step @p96 :rule ho_cong :premises (@p95 @p91)) % 0.52/0.73 (step @p97 :rule cong :premises (@p96 @p94) :args ((= (_ (_ tptp.next @t63) @t1) @t64))) % 0.52/0.73 (step @p98 :rule symm :premises (@p97)) % 0.52/0.73 (step @p99 :rule refl :args (@t6)) % 0.52/0.73 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.52/0.73 (step @p101 :rule refl :args (@t5)) % 0.52/0.73 (step @p102 :rule cong :premises (@p101 @p92) :args ((= @t5 @t63))) % 0.52/0.73 (step @p103 :rule symm :premises (@p102)) % 0.52/0.73 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.52/0.73 (step @p105 :rule ho_cong :premises (@p55 @p104)) % 0.52/0.73 (step @p106 :rule ho_cong :premises (@p105 @p91)) % 0.52/0.73 (step @p107 :rule trans :premises (@p106 @p100)) % 0.52/0.73 (step @p108 :rule refl :args ((tptp.next @t7 @t2))) % 0.52/0.73 (step @p109 :rule refl :args (@t2)) % 0.52/0.73 (step @p110 :rule refl :args (@t65)) % 0.52/0.73 (step @p111 :rule cong :premises (@p110 @p109) :args (@t66)) % 0.52/0.73 (step @p112 :rule trans :premises (@p111 @p108)) % 0.52/0.73 (step @p113 :rule ho_cong :premises (@p55 @p110)) % 0.52/0.73 (step @p114 :rule ho_cong :premises (@p113 @p109)) % 0.52/0.73 (step @p115 :rule cong :premises (@p114 @p112) :args ((= (_ (_ tptp.next @t65) @t2) @t66))) % 0.52/0.73 (step @p116 :rule symm :premises (@p115)) % 0.52/0.73 (step @p117 :rule refl :args (@t8)) % 0.52/0.73 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.52/0.73 (step @p119 :rule refl :args (@t7)) % 0.52/0.73 (step @p120 :rule cong :premises (@p119 @p110) :args ((= @t7 @t65))) % 0.52/0.73 (step @p121 :rule symm :premises (@p120)) % 0.52/0.73 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.52/0.73 (step @p123 :rule ho_cong :premises (@p55 @p122)) % 0.52/0.73 (step @p124 :rule ho_cong :premises (@p123 @p109)) % 0.52/0.73 (step @p125 :rule trans :premises (@p124 @p118)) % 0.52/0.73 (step @p126 :rule cong :premises (@p125 @p107) :args (@t9)) % 0.52/0.73 (step @p127 :rule cong :premises (@p126) :args (@t11)) % 0.52/0.73 (step @p128 :rule eq_resolve :premises (@p1 @p127)) % 0.52/0.73 (step @p129 :rule eq-symm :args (@t67 @t69)) % 0.52/0.73 (step @p130 :rule refl :args (@t70)) % 0.52/0.73 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t70 @t71))) % 0.52/0.73 (assume-push @p733 @t70) % 0.52/0.73 (step @p133 :rule instantiate :premises (@p128) :args (@t72)) % 0.52/0.73 (step-pop @p734 :rule scope :premises (@p133)) % 0.52/0.73 (step @p134 :rule process_scope :premises (@p734) :args (@t71)) % 0.52/0.73 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.52/0.73 (step @p137 :rule implies_elim :premises (@p136)) % 0.52/0.73 (step @p138 :rule chain_m_resolution :premises (@p137 @p128) :args (@t73 @t74 @t75)) % 0.52/0.73 (step @p139 :rule eq-symm :args (@t76 @t78)) % 0.52/0.73 (step @p140 :rule cong :premises (@p130 @p139) :args ((=> @t70 @t79))) % 0.52/0.73 (assume-push @p735 @t70) % 0.52/0.73 (step @p142 :rule instantiate :premises (@p128) :args (@t80)) % 0.52/0.73 (step-pop @p736 :rule scope :premises (@p142)) % 0.52/0.73 (step @p143 :rule process_scope :premises (@p736) :args (@t79)) % 0.52/0.73 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 0.52/0.73 (step @p146 :rule implies_elim :premises (@p145)) % 0.52/0.73 (step @p147 :rule chain_m_resolution :premises (@p146 @p128) :args (@t81 @t74 @t75)) % 0.52/0.73 (step @p148 :rule refl :args ((tptp.next @t13 tptp.bottom))) % 0.52/0.73 (step @p149 :rule refl :args (tptp.bottom)) % 0.52/0.73 (step @p150 :rule refl :args (@t82)) % 0.52/0.73 (step @p151 :rule cong :premises (@p150 @p149) :args (@t83)) % 0.52/0.73 (step @p152 :rule trans :premises (@p151 @p148)) % 0.52/0.73 (step @p153 :rule ho_cong :premises (@p55 @p150)) % 0.52/0.73 (step @p154 :rule ho_cong :premises (@p153 @p149)) % 0.52/0.73 (step @p155 :rule cong :premises (@p154 @p152) :args ((= (_ (_ tptp.next @t82) tptp.bottom) @t83))) % 0.52/0.73 (step @p156 :rule symm :premises (@p155)) % 0.52/0.73 (step @p157 :rule refl :args (@t14)) % 0.52/0.73 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.52/0.73 (step @p159 :rule refl :args (@t13)) % 0.52/0.73 (step @p160 :rule cong :premises (@p159 @p150) :args ((= @t13 @t82))) % 0.52/0.73 (step @p161 :rule symm :premises (@p160)) % 0.52/0.73 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.52/0.73 (step @p163 :rule ho_cong :premises (@p55 @p162)) % 0.52/0.73 (step @p164 :rule ho_cong :premises (@p163 @p149)) % 0.52/0.73 (step @p165 :rule trans :premises (@p164 @p158)) % 0.52/0.73 (step @p166 :rule refl :args (@t3)) % 0.52/0.73 (step @p167 :rule cong :premises (@p166 @p165) :args (@t84)) % 0.52/0.73 (step @p168 :rule cong :premises (@p167) :args ((forall @t12 @t84))) % 0.52/0.73 (step @p169 :rule eq-symm :args (@t14 @t3)) % 0.52/0.73 (step @p170 :rule cong :premises (@p169) :args (@t15)) % 0.52/0.73 (step @p171 :rule trans :premises (@p170 @p168)) % 0.52/0.73 (step @p172 :rule eq_resolve :premises (@p3 @p171)) % 0.52/0.73 (step @p173 :rule instantiate :premises (@p172) :args (@t85)) % 0.52/0.73 (step @p174 :rule aci_norm :args ((= (or false @t91 @t90) @t92))) % 0.52/0.73 (step @p175 :rule eq-symm :args (@t87 @t89)) % 0.52/0.73 (step @p176 :rule refl :args (@t91)) % 0.52/0.73 (step @p177 :rule evaluate :args ((not true))) % 0.52/0.73 (step @p178 :rule eq-refl :args (@t86)) % 0.52/0.73 (step @p179 :rule cong :premises (@p178) :args (@t93)) % 0.52/0.73 (step @p180 :rule trans :premises (@p179 @p177)) % 0.52/0.73 (step @p181 :rule nary_cong :premises (@p180 @p176 @p175) :args (@t94)) % 0.52/0.73 (step @p182 :rule trans :premises (@p181 @p174)) % 0.52/0.73 (step @p183 :rule cong :premises (@p182) :args ((forall @t95 @t94))) % 0.52/0.73 (step @p184 :rule quant-var-elim-eq :args ((= (forall @t101 @t100) @t94))) % 0.52/0.73 (step @p185 :rule aci_norm :args ((= @t102 @t100))) % 0.52/0.73 (step @p186 :rule cong :premises (@p185) :args (@t103)) % 0.52/0.73 (step @p187 :rule trans :premises (@p186 @p184)) % 0.52/0.73 (step @p188 :rule cong :premises (@p187) :args (@t104)) % 0.52/0.73 (step @p189 :rule quant-merge-prenex :args ((= @t104 @t106))) % 0.52/0.73 (step @p190 :rule symm :premises (@p189)) % 0.52/0.73 (step @p191 :rule quant_var_reordering :args ((= (forall @t28 @t102) @t106))) % 0.52/0.73 (step @p192 :rule trans :premises (@p191 @p190 @p188)) % 0.52/0.73 (step @p193 :rule trans :premises (@p192 @p183)) % 0.52/0.73 (step @p194 :rule refl :args ((tptp.playerpos @t20))) % 0.52/0.73 (step @p195 :rule refl :args (@t88)) % 0.52/0.73 (step @p196 :rule cong :premises (@p195) :args (@t89)) % 0.52/0.73 (step @p197 :rule trans :premises (@p196 @p194)) % 0.52/0.73 (step @p198 :rule refl :args (tptp.playerpos)) % 0.52/0.73 (step @p199 :rule ho_cong :premises (@p198 @p195)) % 0.52/0.73 (step @p200 :rule cong :premises (@p199 @p197) :args ((= (_ tptp.playerpos @t88) @t89))) % 0.52/0.73 (step @p201 :rule symm :premises (@p200)) % 0.52/0.73 (step @p202 :rule refl :args (@t21)) % 0.52/0.73 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.52/0.73 (step @p204 :rule refl :args (@t20)) % 0.52/0.73 (step @p205 :rule cong :premises (@p204 @p195) :args ((= @t20 @t88))) % 0.52/0.73 (step @p206 :rule symm :premises (@p205)) % 0.52/0.73 (step @p207 :rule eq_resolve :premises (@p204 @p206)) % 0.52/0.73 (step @p208 :rule ho_cong :premises (@p198 @p207)) % 0.52/0.73 (step @p209 :rule trans :premises (@p208 @p203)) % 0.52/0.73 (step @p210 :rule refl :args (@t96)) % 0.52/0.73 (step @p211 :rule refl :args (@t18)) % 0.52/0.73 (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t18 @t96))) % 0.52/0.73 (step @p213 :rule symm :premises (@p212)) % 0.52/0.73 (step @p214 :rule eq_resolve :premises (@p211 @p213)) % 0.52/0.73 (step @p215 :rule cong :premises (@p214 @p209) :args (@t107)) % 0.52/0.73 (step @p216 :rule refl :args ((tptp.wall @t18))) % 0.52/0.73 (step @p217 :rule cong :premises (@p210) :args (@t98)) % 0.52/0.73 (step @p218 :rule trans :premises (@p217 @p216)) % 0.52/0.73 (step @p219 :rule refl :args (tptp.wall)) % 0.52/0.73 (step @p220 :rule ho_cong :premises (@p219 @p210)) % 0.52/0.73 (step @p221 :rule cong :premises (@p220 @p218) :args ((= (_ tptp.wall @t96) @t98))) % 0.52/0.73 (step @p222 :rule symm :premises (@p221)) % 0.52/0.73 (step @p223 :rule refl :args (@t22)) % 0.52/0.73 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 0.52/0.73 (step @p225 :rule ho_cong :premises (@p219 @p214)) % 0.52/0.73 (step @p226 :rule trans :premises (@p225 @p224)) % 0.52/0.73 (step @p227 :rule refl :args (@t86)) % 0.52/0.73 (step @p228 :rule refl :args (@t25)) % 0.52/0.73 (step @p229 :rule cong :premises (@p228 @p227) :args ((= @t25 @t86))) % 0.52/0.73 (step @p230 :rule symm :premises (@p229)) % 0.52/0.73 (step @p231 :rule eq_resolve 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(@p729)) % 0.52/0.73 (step @p731 :rule eq_resolve :premises (@p730 @p675)) % 0.52/0.73 (step @p732 false :rule chain_m_resolution :premises (@p731 @p662 @p609 @p569 @p482 @p393 @p315 @p314 @p313 @p173 @p147 @p138 @p89) :args (false (@list true false false false false false false false false false false false) (@list @t201 @t184 @t170 @t154 @t146 @t208 @t211 @t118 @t215 @t81 @t73 @t219))) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------