%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG092+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:45:39 AM UTC 2026 % Result : Theorem 15.63s 15.86s % Output : Proof 15.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG092+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n001.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:07:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.63/15.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.63/15.86 --- Run --no-e-matching --full-saturate-quant at 6... % 15.63/15.86 % SZS status Theorem % 15.63/15.86 % SZS output start Proof % 15.63/15.86 ( % 15.63/15.86 (declare-sort $$unsorted 0) % 15.63/15.86 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.63/15.86 (declare-const tptp.xJ $$unsorted) % 15.63/15.86 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.86 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.63/15.86 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.86 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 15.63/15.86 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.86 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.86 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 15.63/15.86 (declare-const tptp.sz10 $$unsorted) % 15.63/15.86 (declare-const tptp.xI $$unsorted) % 15.63/15.86 (declare-const tptp.sz00 $$unsorted) % 15.63/15.86 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 15.63/15.86 (define @t1 () (@var "W0" $$unsorted)) % 15.63/15.86 (define @t2 () (tptp.aElement0 @t1)) % 15.63/15.86 (define @t3 () (@list @t1)) % 15.63/15.86 (define @t4 () (tptp.aElement0 tptp.sz10)) % 15.63/15.86 (define @t5 () (tptp.smndt0 @t1)) % 15.63/15.86 (define @t6 () (@var "W1" $$unsorted)) % 15.63/15.86 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 15.63/15.86 (define @t8 () (tptp.aElement0 @t6)) % 15.63/15.86 (define @t9 () (and @t2 @t8)) % 15.63/15.86 (define @t10 () (@list @t1 @t6)) % 15.63/15.86 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 15.63/15.86 (define @t12 () (@var "W2" $$unsorted)) % 15.63/15.86 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 15.63/15.86 (define @t14 () (tptp.aElement0 @t12)) % 15.63/15.86 (define @t15 () (and @t2 @t8 @t14)) % 15.63/15.86 (define @t16 () (@list @t1 @t6 @t12)) % 15.63/15.86 (define @t17 () (tptp.sdtasdt0 @t6 @t1)) % 15.63/15.86 (define @t18 () (tptp.sdtasdt0 @t12 @t1)) % 15.63/15.86 (define @t19 () (tptp.smndt0 tptp.sz10)) % 15.63/15.86 (define @t20 () (tptp.aSet0 @t1)) % 15.63/15.86 (define @t21 () (tptp.aElementOf0 @t6 @t1)) % 15.63/15.86 (define @t22 () (@list @t6)) % 15.63/15.86 (define @t23 () (tptp.aElementOf0 @t12 @t1)) % 15.63/15.86 (define @t24 () (tptp.aElementOf0 @t12 @t6)) % 15.63/15.86 (define @t25 () (@list @t12)) % 15.63/15.86 (define @t26 () (tptp.aSet0 @t6)) % 15.63/15.86 (define @t27 () (and @t20 @t26)) % 15.63/15.86 (define @t28 () (@var "W3" $$unsorted)) % 15.63/15.86 (define @t29 () (@var "W5" $$unsorted)) % 15.63/15.86 (define @t30 () (@var "W4" $$unsorted)) % 15.63/15.86 (define @t31 () (tptp.sdtpldt0 @t30 @t29)) % 15.63/15.86 (define @t32 () (tptp.aElementOf0 @t29 @t6)) % 15.63/15.86 (define @t33 () (tptp.aElementOf0 @t30 @t1)) % 15.63/15.86 (define @t34 () (and @t33 @t32 (= @t31 @t28))) % 15.63/15.86 (define @t35 () (@list @t30 @t29)) % 15.63/15.86 (define @t36 () (exists @t35 @t34)) % 15.63/15.86 (define @t37 () (tptp.aElementOf0 @t28 @t12)) % 15.63/15.86 (define @t38 () (= @t37 @t36)) % 15.63/15.86 (define @t39 () (@list @t28)) % 15.63/15.86 (define @t40 () (forall @t39 @t38)) % 15.63/15.86 (define @t41 () (tptp.aSet0 @t12)) % 15.63/15.86 (define @t42 () (and @t41 @t40)) % 15.63/15.86 (define @t43 () (tptp.sdtpldt1 @t1 @t6)) % 15.63/15.86 (define @t44 () (= @t12 @t43)) % 15.63/15.86 (define @t45 () (= @t44 @t42)) % 15.63/15.86 (define @t46 () (forall @t25 @t45)) % 15.63/15.86 (define @t47 () (=> @t27 @t46)) % 15.63/15.86 (define @t48 () (forall @t10 @t47)) % 15.63/15.86 (define @t49 () (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t6) @t1)) % 15.63/15.86 (define @t50 () (forall @t25 (=> @t14 @t49))) % 15.63/15.86 (define @t51 () (tptp.aElementOf0 @t13 @t1)) % 15.63/15.86 (define @t52 () (forall @t25 (=> @t23 @t51))) % 15.63/15.86 (define @t53 () (and @t52 @t50)) % 15.63/15.86 (define @t54 () (=> @t21 @t53)) % 15.63/15.86 (define @t55 () (forall @t22 @t54)) % 15.63/15.86 (define @t56 () (and @t20 @t55)) % 15.63/15.86 (define @t57 () (tptp.aIdeal0 @t1)) % 15.63/15.86 (define @t58 () (= @t57 @t56)) % 15.63/15.86 (define @t59 () (forall @t3 @t58)) % 15.63/15.86 (define @t60 () (tptp.aIdeal0 tptp.xJ)) % 15.63/15.86 (define @t61 () (tptp.aIdeal0 tptp.xI)) % 15.63/15.86 (define @t62 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 15.63/15.86 (define @t63 () (tptp.aIdeal0 @t62)) % 15.63/15.86 (define @t64 () (tptp.aElementOf0 @t18 @t62)) % 15.63/15.86 (define @t65 () (tptp.aElementOf0 @t7 @t62)) % 15.63/15.86 (define @t66 () (@var "W6" $$unsorted)) % 15.63/15.86 (define @t67 () (tptp.sdtpldt0 @t30 @t66)) % 15.63/15.86 (define @t68 () (tptp.sdtpldt0 @t28 @t29)) % 15.63/15.86 (define @t69 () (= @t7 (tptp.sdtpldt0 @t68 @t67))) % 15.63/15.86 (define @t70 () (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t30) tptp.xJ)) % 15.63/15.86 (define @t71 () (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t28) tptp.xI)) % 15.63/15.86 (define @t72 () (tptp.aElementOf0 @t67 tptp.xJ)) % 15.63/15.86 (define @t73 () (tptp.aElementOf0 @t68 tptp.xI)) % 15.63/15.86 (define @t74 () (= @t6 (tptp.sdtpldt0 @t29 @t66))) % 15.63/15.86 (define @t75 () (tptp.aElementOf0 @t66 tptp.xJ)) % 15.63/15.86 (define @t76 () (tptp.aElementOf0 @t29 tptp.xI)) % 15.63/15.86 (define @t77 () (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t65 @t64)) % 15.63/15.86 (define @t78 () (@list @t29 @t66)) % 15.63/15.86 (define @t79 () (exists @t78 @t77)) % 15.63/15.86 (define @t80 () (tptp.sdtpldt0 @t28 @t30)) % 15.63/15.86 (define @t81 () (= @t1 @t80)) % 15.63/15.86 (define @t82 () (tptp.aElementOf0 @t30 tptp.xJ)) % 15.63/15.86 (define @t83 () (tptp.aElementOf0 @t28 tptp.xI)) % 15.63/15.86 (define @t84 () (and @t83 @t82 @t81 @t79)) % 15.63/15.86 (define @t85 () (@list @t28 @t30)) % 15.63/15.86 (define @t86 () (exists @t85 @t84)) % 15.63/15.86 (define @t87 () (tptp.aElementOf0 @t6 @t62)) % 15.63/15.86 (define @t88 () (tptp.aElementOf0 @t1 @t62)) % 15.63/15.86 (define @t89 () (and @t88 @t87 @t14)) % 15.63/15.86 (define @t90 () (=> @t89 @t86)) % 15.63/15.86 (define @t91 () (forall @t16 @t90)) % 15.63/15.86 (define @t92 () (=> @t91 @t63)) % 15.63/15.86 (define @t93 () (not @t92)) % 15.63/15.86 (define @t94 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 15.63/15.86 (define @t95 () (tptp.sdtasdt0 @t94 @t6)) % 15.63/15.86 (define @t96 () (not (tptp.aElement0 @t94))) % 15.63/15.86 (define @t97 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 15.63/15.86 (define @t98 () (tptp.sdtpldt0 @t6 @t97)) % 15.63/15.86 (define @t99 () (not @t87)) % 15.63/15.86 (define @t100 () (@list @t6 @t97 @t94)) % 15.63/15.86 (define @t101 () (forall @t100 (or @t99 (and (or (not (tptp.aElementOf0 @t97 @t62)) (tptp.aElementOf0 @t98 @t62)) (or @t96 (tptp.aElementOf0 @t95 @t62)))))) % 15.63/15.86 (define @t102 () (@quantifiers_skolemize @t101 2)) % 15.63/15.86 (define @t103 () (tptp.aElement0 @t102)) % 15.63/15.86 (define @t104 () (@quantifiers_skolemize @t101 0)) % 15.63/15.86 (define @t105 () (tptp.aElementOf0 (tptp.sdtasdt0 @t102 @t104) @t62)) % 15.63/15.86 (define @t106 () (not @t103)) % 15.63/15.86 (define @t107 () (or @t106 @t105)) % 15.63/15.86 (define @t108 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 15.63/15.86 (define @t109 () (tptp.aElementOf0 @t28 @t108)) % 15.63/15.86 (define @t110 () (= @t28 @t31)) % 15.63/15.86 (define @t111 () (not @t110)) % 15.63/15.86 (define @t112 () (not @t32)) % 15.63/15.86 (define @t113 () (not @t33)) % 15.63/15.86 (define @t114 () (or @t113 @t112 @t111)) % 15.63/15.86 (define @t115 () (not (forall @t35 @t114))) % 15.63/15.86 (define @t116 () (forall @t39 (= @t109 @t115))) % 15.63/15.86 (define @t117 () (tptp.aSet0 @t108)) % 15.63/15.86 (define @t118 () (and @t117 @t116)) % 15.63/15.86 (define @t119 () (= (= @t108 @t43) @t118)) % 15.63/15.86 (define @t120 () (not @t26)) % 15.63/15.86 (define @t121 () (not @t20)) % 15.63/15.86 (define @t122 () (or @t121 @t120 @t119)) % 15.63/15.86 (define @t123 () (@list @t1 @t6 @t108)) % 15.63/15.86 (define @t124 () (forall @t123 @t122)) % 15.63/15.86 (define @t125 () (@list @t108)) % 15.63/15.86 (define @t126 () (forall @t125 @t122)) % 15.63/15.86 (define @t127 () (forall @t125 @t119)) % 15.63/15.86 (define @t128 () (@list @t12)) % 15.63/15.86 (define @t129 () (or @t121 @t120 @t127)) % 15.63/15.86 (define @t130 () (forall @t25 (= @t44 (and @t41 (forall @t39 (= @t37 @t115)))))) % 15.63/15.86 (define @t131 () (or @t121 @t120 @t130)) % 15.63/15.86 (define @t132 () (and @t33 @t32 @t110)) % 15.63/15.86 (define @t133 () (forall @t35 (not @t132))) % 15.63/15.86 (define @t134 () (not @t133)) % 15.63/15.86 (define @t135 () (tptp.aSet0 @t62)) % 15.63/15.86 (define @t136 () (and @t135 (forall @t39 (= (not (forall @t35 (or (not (tptp.aElementOf0 @t30 tptp.xI)) (not (tptp.aElementOf0 @t29 tptp.xJ)) @t111))) (tptp.aElementOf0 @t28 @t62))))) % 15.63/15.86 (define @t137 () (= (= @t62 @t62) @t136)) % 15.63/15.86 (define @t138 () (tptp.aSet0 tptp.xJ)) % 15.63/15.86 (define @t139 () (not @t138)) % 15.63/15.86 (define @t140 () (tptp.aSet0 tptp.xI)) % 15.63/15.86 (define @t141 () (not @t140)) % 15.63/15.86 (define @t142 () (or @t141 @t139 @t137)) % 15.63/15.86 (define @t143 () (forall @t123 (or @t121 @t120 (= (= @t43 @t108) (and @t117 (forall @t39 (= @t115 @t109))))))) % 15.63/15.86 (define @t144 () (or @t141 @t139 @t136)) % 15.63/15.86 (define @t145 () (@list false)) % 15.63/15.86 (define @t146 () (or @t96 (tptp.aElementOf0 @t95 @t1))) % 15.63/15.86 (define @t147 () (or (not (tptp.aElementOf0 @t97 @t1)) (tptp.aElementOf0 @t98 @t1))) % 15.63/15.86 (define @t148 () (and @t147 @t146)) % 15.63/15.86 (define @t149 () (not @t21)) % 15.63/15.86 (define @t150 () (or @t149 @t148)) % 15.63/15.86 (define @t151 () (@list @t97 @t94)) % 15.63/15.86 (define @t152 () (forall @t151 @t150)) % 15.63/15.86 (define @t153 () (forall (@list @t94) @t146)) % 15.63/15.86 (define @t154 () (forall @t151 @t146)) % 15.63/15.86 (define @t155 () (forall (@list @t97) @t147)) % 15.63/15.86 (define @t156 () (forall @t151 @t147)) % 15.63/15.86 (define @t157 () (and @t156 @t154)) % 15.63/15.86 (define @t158 () (forall @t151 @t148)) % 15.63/15.86 (define @t159 () (or @t149 @t158)) % 15.63/15.86 (define @t160 () (not @t14)) % 15.63/15.86 (define @t161 () (and (forall @t25 (or (not @t23) @t51)) (forall @t25 (or @t160 @t49)))) % 15.63/15.86 (define @t162 () (and @t138 (forall @t100 (or (not (tptp.aElementOf0 @t6 tptp.xJ)) (and (or (not (tptp.aElementOf0 @t97 tptp.xJ)) (tptp.aElementOf0 @t98 tptp.xJ)) (or @t96 (tptp.aElementOf0 @t95 tptp.xJ))))))) % 15.63/15.86 (define @t163 () (= @t60 @t162)) % 15.63/15.86 (define @t164 () (@list false false)) % 15.63/15.86 (define @t165 () (and @t140 (forall @t100 (or (not (tptp.aElementOf0 @t6 tptp.xI)) (and (or (not (tptp.aElementOf0 @t97 tptp.xI)) (tptp.aElementOf0 @t98 tptp.xI)) (or @t96 (tptp.aElementOf0 @t95 tptp.xI))))))) % 15.63/15.86 (define @t166 () (= @t61 @t165)) % 15.63/15.86 (define @t167 () (@var "BOUND_VARIABLE_7889" $$unsorted)) % 15.63/15.86 (define @t168 () (tptp.sdtpldt0 @t30 @t167)) % 15.63/15.86 (define @t169 () (@var "BOUND_VARIABLE_7887" $$unsorted)) % 15.63/15.86 (define @t170 () (tptp.sdtpldt0 @t28 @t169)) % 15.63/15.86 (define @t171 () (tptp.sdtpldt0 @t170 @t168)) % 15.63/15.86 (define @t172 () (not (= @t7 @t171))) % 15.63/15.86 (define @t173 () (not (tptp.aElementOf0 @t168 tptp.xJ))) % 15.63/15.86 (define @t174 () (not (tptp.aElementOf0 @t170 tptp.xI))) % 15.63/15.86 (define @t175 () (tptp.sdtpldt0 @t169 @t167)) % 15.63/15.86 (define @t176 () (not (= @t6 @t175))) % 15.63/15.86 (define @t177 () (not (tptp.aElementOf0 @t167 tptp.xJ))) % 15.63/15.86 (define @t178 () (not (tptp.aElementOf0 @t169 tptp.xI))) % 15.63/15.86 (define @t179 () (not @t70)) % 15.63/15.86 (define @t180 () (not @t71)) % 15.63/15.86 (define @t181 () (not @t81)) % 15.63/15.86 (define @t182 () (not @t82)) % 15.63/15.86 (define @t183 () (not @t83)) % 15.63/15.86 (define @t184 () (or @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t174 @t173 @t172)) % 15.63/15.86 (define @t185 () (@list @t28 @t30 @t169 @t167)) % 15.63/15.86 (define @t186 () (forall @t185 @t184)) % 15.63/15.86 (define @t187 () (not @t186)) % 15.63/15.86 (define @t188 () (and @t65 @t64 @t187)) % 15.63/15.86 (define @t189 () (not @t88)) % 15.63/15.86 (define @t190 () (or @t189 @t99 @t160 @t188)) % 15.63/15.86 (define @t191 () (or @t189 @t99 @t160)) % 15.63/15.86 (define @t192 () (not @t64)) % 15.63/15.86 (define @t193 () (not @t192)) % 15.63/15.86 (define @t194 () (not @t65)) % 15.63/15.86 (define @t195 () (not @t194)) % 15.63/15.86 (define @t196 () (and @t195 @t193 @t187)) % 15.63/15.86 (define @t197 () (not (or @t194 @t192 @t186))) % 15.63/15.86 (define @t198 () (or @t178 @t177 @t176 @t174 @t173 @t172)) % 15.63/15.86 (define @t199 () (or @t183 @t182 @t181 @t180 @t179 @t198)) % 15.63/15.86 (define @t200 () (forall @t185 @t199)) % 15.63/15.86 (define @t201 () (@list @t169 @t167)) % 15.63/15.86 (define @t202 () (forall @t201 @t199)) % 15.63/15.86 (define @t203 () (forall @t201 @t198)) % 15.63/15.86 (define @t204 () (or @t183 @t182 @t181 @t180 @t179 @t203)) % 15.63/15.86 (define @t205 () (not @t69)) % 15.63/15.86 (define @t206 () (not @t72)) % 15.63/15.86 (define @t207 () (not @t73)) % 15.63/15.86 (define @t208 () (not @t74)) % 15.63/15.86 (define @t209 () (not @t75)) % 15.63/15.86 (define @t210 () (not @t76)) % 15.63/15.86 (define @t211 () (or @t210 @t209 @t208 @t207 @t206 @t205)) % 15.63/15.86 (define @t212 () (forall @t78 @t211)) % 15.63/15.86 (define @t213 () (or @t183 @t182 @t181 @t180 @t179 @t212)) % 15.63/15.86 (define @t214 () (forall @t85 @t213)) % 15.63/15.86 (define @t215 () (or @t194 @t192 @t214)) % 15.63/15.86 (define @t216 () (or @t194 @t192 @t213)) % 15.63/15.86 (define @t217 () (or @t183 @t182 @t181 @t180 @t179 @t194 @t192 @t212)) % 15.63/15.86 (define @t218 () (or @t180 @t179 @t194 @t192 @t212)) % 15.63/15.86 (define @t219 () (not @t218)) % 15.63/15.86 (define @t220 () (not @t219)) % 15.63/15.86 (define @t221 () (or @t183 @t182 @t181 @t220)) % 15.63/15.86 (define @t222 () (and @t83 @t82 @t81 @t219)) % 15.63/15.86 (define @t223 () (forall @t85 (not @t222))) % 15.63/15.86 (define @t224 () (not @t223)) % 15.63/15.86 (define @t225 () (or @t180 @t179 @t194 @t192 @t211)) % 15.63/15.86 (define @t226 () (or @t210 @t209 @t208 @t207 @t206 @t180 @t179 @t205 @t194 @t192)) % 15.63/15.86 (define @t227 () (forall @t78 (not @t77))) % 15.63/15.86 (define @t228 () (not @t227)) % 15.63/15.86 (define @t229 () (and @t135 @t101)) % 15.63/15.86 (define @t230 () (= @t63 @t229)) % 15.63/15.86 (define @t231 () (not @t229)) % 15.63/15.86 (define @t232 () (@list true false)) % 15.63/15.86 (define @t233 () (tptp.aElementOf0 @t104 @t62)) % 15.63/15.86 (define @t234 () (@quantifiers_skolemize @t101 1)) % 15.63/15.86 (define @t235 () (tptp.sdtpldt0 @t104 @t234)) % 15.63/15.86 (define @t236 () (tptp.aElementOf0 @t235 @t62)) % 15.63/15.86 (define @t237 () (tptp.aElementOf0 @t234 @t62)) % 15.63/15.86 (define @t238 () (not @t237)) % 15.63/15.86 (define @t239 () (or @t238 @t236)) % 15.63/15.86 (define @t240 () (and @t239 @t107)) % 15.63/15.86 (define @t241 () (not @t233)) % 15.63/15.86 (define @t242 () (or @t241 @t240)) % 15.63/15.86 (define @t243 () (@list true)) % 15.63/15.86 (define @t244 () (@list @t242)) % 15.63/15.86 (define @t245 () (tptp.sdtpldt0 @t104 @t104)) % 15.63/15.86 (define @t246 () (not (= @t245 @t171))) % 15.63/15.86 (define @t247 () (not (= @t104 @t175))) % 15.63/15.86 (define @t248 () (not (tptp.aElementOf0 (tptp.sdtasdt0 @t102 @t30) tptp.xJ))) % 15.63/15.86 (define @t249 () (not (tptp.aElementOf0 (tptp.sdtasdt0 @t102 @t28) tptp.xI))) % 15.63/15.86 (define @t250 () (not (= @t104 @t80))) % 15.63/15.86 (define @t251 () (or @t183 @t182 @t250 @t249 @t248 @t178 @t177 @t247 @t174 @t173 @t246)) % 15.63/15.86 (define @t252 () (forall @t185 @t251)) % 15.63/15.86 (define @t253 () (not @t252)) % 15.63/15.86 (define @t254 () (tptp.aElementOf0 @t245 @t62)) % 15.63/15.86 (define @t255 () (and @t254 @t105 @t253)) % 15.63/15.86 (define @t256 () (or @t241 @t241 @t106 @t255)) % 15.63/15.86 (define @t257 () (forall @t16 @t190)) % 15.63/15.86 (define @t258 () (not (= @t80 @t104))) % 15.63/15.86 (define @t259 () (and @t254 @t105 (not (forall @t185 (or @t183 @t182 @t258 @t249 @t248 @t178 @t177 (not (= @t175 @t104)) @t174 @t173 (not (= @t171 @t245))))))) % 15.63/15.86 (define @t260 () (or @t241 @t241 @t106 @t259)) % 15.63/15.86 (define @t261 () (@list @t257)) % 15.63/15.86 (define @t262 () (@list @t239)) % 15.63/15.86 (define @t263 () (not (= @t235 @t171))) % 15.63/15.86 (define @t264 () (not (= @t234 @t175))) % 15.63/15.86 (define @t265 () (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 @t30) tptp.xJ))) % 15.63/15.86 (define @t266 () (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 @t28) tptp.xI))) % 15.63/15.86 (define @t267 () (or @t183 @t182 @t250 @t266 @t265 @t178 @t177 @t264 @t174 @t173 @t263)) % 15.63/15.86 (define @t268 () (forall @t185 @t267)) % 15.63/15.86 (define @t269 () (not @t268)) % 15.63/15.86 (define @t270 () (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 @t104) @t62)) % 15.63/15.86 (define @t271 () (and @t236 @t270 @t269)) % 15.63/15.86 (define @t272 () (not @t4)) % 15.63/15.86 (define @t273 () (or @t241 @t238 @t272 @t271)) % 15.63/15.86 (define @t274 () (and @t236 @t270 (not (forall @t185 (or @t183 @t182 @t258 @t266 @t265 @t178 @t177 (not (= @t175 @t234)) @t174 @t173 (not (= @t171 @t235))))))) % 15.63/15.86 (define @t275 () (or @t241 @t238 @t272 @t274)) % 15.63/15.86 (assume @p1 (forall @t3 (=> @t2 true))) % 15.63/15.86 (assume @p2 (tptp.aElement0 tptp.sz00)) % 15.63/15.86 (assume @p3 @t4) % 15.63/15.86 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 15.63/15.86 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 15.63/15.86 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t11)))) % 15.63/15.86 (assume @p7 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 15.63/15.86 (assume @p8 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t7 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 15.63/15.86 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 15.63/15.86 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 15.63/15.86 (assume @p11 (forall @t10 (=> @t9 (= @t11 @t17)))) % 15.63/15.86 (assume @p12 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t11 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t12)))))) % 15.63/15.86 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 15.63/15.86 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 (tptp.sdtasdt0 @t1 @t12))) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 @t18)))))) % 15.63/15.86 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t19 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t19)))))) % 15.63/15.86 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 15.63/15.86 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or (= @t1 tptp.sz00) (= @t6 tptp.sz00)))))) % 15.63/15.86 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 15.63/15.86 (assume @p19 (forall @t3 (=> @t20 true))) % 15.63/15.86 (assume @p20 (forall @t3 (=> @t20 (forall @t22 (=> @t21 @t8))))) % 15.63/15.86 (assume @p21 (forall @t10 (=> @t27 (=> (and (forall @t25 (=> @t23 @t24)) (forall @t25 (=> @t24 @t23))) (= @t1 @t6))))) % 15.63/15.86 (assume @p22 @t48) % 15.63/15.86 (assume @p23 (forall @t10 (=> @t27 (forall @t25 (= (= @t12 (tptp.sdtasasdt0 @t1 @t6)) (and @t41 (forall @t39 (= @t37 (and (tptp.aElementOf0 @t28 @t1) (tptp.aElementOf0 @t28 @t6)))))))))) % 15.63/15.86 (assume @p24 @t59) % 15.63/15.86 (assume @p25 (and @t61 @t60)) % 15.63/15.86 (assume @p26 @t93) % 15.63/15.86 (assume @p27 true) % 15.63/15.86 (step @p28 :rule bool-double-not-elim :args (@t103)) % 15.63/15.86 (step @p29 :rule refl :args (@t107)) % 15.63/15.86 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t107 (not @t106)))) % 15.63/15.86 (step @p31 :rule cnf_or_neg :args (@t107 0)) % 15.63/15.86 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 15.63/15.86 (step @p33 :rule reordering :premises (@p32) :args ((or @t103 @t107))) % 15.63/15.86 (step @p34 :rule cnf_or_neg :args (@t107 1)) % 15.63/15.86 (step @p35 :rule eq-symm :args (@t109 @t115)) % 15.63/15.86 (step @p36 :rule cong :premises (@p35) :args (@t116)) % 15.63/15.86 (step @p37 :rule refl :args (@t117)) % 15.63/15.86 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t118)) % 15.63/15.86 (step @p39 :rule eq-symm :args (@t108 @t43)) % 15.63/15.86 (step @p40 :rule cong :premises (@p39 @p38) :args (@t119)) % 15.63/15.86 (step @p41 :rule refl :args (@t120)) % 15.63/15.86 (step @p42 :rule refl :args (@t121)) % 15.63/15.86 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t122)) % 15.63/15.86 (step @p44 :rule cong :premises (@p43) :args (@t124)) % 15.63/15.86 (step @p45 :rule quant-merge-prenex :args ((= (forall @t10 @t126) @t124))) % 15.63/15.86 (step @p46 :rule alpha_equiv :args (@t127 (@list @t108) @t128)) % 15.63/15.86 (step @p47 :rule refl :args (@t120)) % 15.63/15.86 (step @p48 :rule refl :args (@t121)) % 15.63/15.86 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t129)) % 15.63/15.86 (step @p50 :rule quant-miniscope-or :args ((= @t126 @t129))) % 15.63/15.86 (step @p51 :rule trans :premises (@p50 @p49)) % 15.63/15.86 (step @p52 :rule symm :premises (@p51)) % 15.63/15.86 (step @p53 :rule cong :premises (@p52) :args ((forall @t10 @t131))) % 15.63/15.86 (step @p54 :rule trans :premises (@p53 @p45)) % 15.63/15.86 (step @p55 :rule trans :premises (@p54 @p44)) % 15.63/15.86 (step @p56 :rule aci_norm :args ((= (or (or @t121 @t120) @t130) @t131))) % 15.63/15.86 (step @p57 :rule refl :args (@t130)) % 15.63/15.86 (step @p58 :rule bool-and-de-morgan :args (@t20 @t26 true)) % 15.63/15.86 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t27) @t130))) % 15.63/15.86 (step @p60 :rule trans :premises (@p59 @p56)) % 15.63/15.86 (step @p61 :rule bool-impl-elim :args (@t27 @t130)) % 15.63/15.86 (step @p62 :rule trans :premises (@p61 @p60)) % 15.63/15.86 (step @p63 :rule cong :premises (@p62) :args ((forall @t10 (=> @t27 @t130)))) % 15.63/15.86 (step @p64 :rule trans :premises (@p63 @p55)) % 15.63/15.86 (step @p65 :rule aci_norm :args ((= (or @t113 (or @t112 @t111)) @t114))) % 15.63/15.86 (step @p66 :rule bool-and-de-morgan :args (@t32 @t110 true)) % 15.63/15.86 (step @p67 :rule refl :args (@t113)) % 15.63/15.86 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t113 (not (and @t32 @t110))))) % 15.63/15.86 (step @p69 :rule bool-and-de-morgan :args (@t33 @t32 (and @t110))) % 15.63/15.86 (step @p70 :rule trans :premises (@p69 @p68)) % 15.63/15.86 (step @p71 :rule trans :premises (@p70 @p65)) % 15.63/15.86 (step @p72 :rule cong :premises (@p71) :args (@t133)) % 15.63/15.86 (step @p73 :rule cong :premises (@p72) :args (@t134)) % 15.63/15.86 (step @p74 :rule exists-elim :args ((= (exists @t35 @t132) @t134))) % 15.63/15.86 (step @p75 :rule trans :premises (@p74 @p73)) % 15.63/15.86 (step @p76 :rule eq-symm :args (@t31 @t28)) % 15.63/15.86 (step @p77 :rule refl :args (@t32)) % 15.63/15.86 (step @p78 :rule refl :args (@t33)) % 15.63/15.86 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t34)) % 15.63/15.86 (step @p80 :rule cong :premises (@p79) :args (@t36)) % 15.63/15.86 (step @p81 :rule trans :premises (@p80 @p75)) % 15.63/15.86 (step @p82 :rule refl :args (@t37)) % 15.63/15.86 (step @p83 :rule cong :premises (@p82 @p81) :args (@t38)) % 15.63/15.86 (step @p84 :rule cong :premises (@p83) :args (@t40)) % 15.63/15.86 (step @p85 :rule refl :args (@t41)) % 15.63/15.86 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t42)) % 15.63/15.86 (step @p87 :rule refl :args (@t44)) % 15.63/15.86 (step @p88 :rule cong :premises (@p87 @p86) :args (@t45)) % 15.63/15.86 (step @p89 :rule cong :premises (@p88) :args (@t46)) % 15.63/15.86 (step @p90 :rule refl :args (@t27)) % 15.63/15.86 (step @p91 :rule cong :premises (@p90 @p89) :args (@t47)) % 15.63/15.86 (step @p92 :rule cong :premises (@p91) :args (@t48)) % 15.63/15.86 (step @p93 :rule trans :premises (@p92 @p64)) % 15.63/15.86 (step @p94 :rule eq_resolve :premises (@p22 @p93)) % 15.63/15.86 (step @p95 :rule bool-eq-true :args (@t136)) % 15.63/15.86 (step @p96 :rule eq-symm :args (true @t136)) % 15.63/15.86 (step @p97 :rule trans :premises (@p96 @p95)) % 15.63/15.86 (step @p98 :rule refl :args (@t136)) % 15.63/15.86 (step @p99 :rule eq-refl :args (@t62)) % 15.63/15.86 (step @p100 :rule cong :premises (@p99 @p98) :args (@t137)) % 15.63/15.86 (step @p101 :rule trans :premises (@p100 @p97)) % 15.63/15.86 (step @p102 :rule refl :args (@t139)) % 15.63/15.86 (step @p103 :rule refl :args (@t141)) % 15.63/15.86 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t142)) % 15.63/15.86 (step @p105 :rule refl :args (@t143)) % 15.63/15.86 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t143 @t142))) % 15.63/15.86 (assume-push @p391 @t143) % 15.63/15.86 (step @p108 :rule instantiate :premises (@p94) :args ((@list tptp.xI tptp.xJ @t62))) % 15.63/15.86 (step-pop @p392 :rule scope :premises (@p108)) % 15.63/15.86 (step @p109 :rule process_scope :premises (@p392) :args (@t142)) % 15.63/15.86 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 15.63/15.86 (step @p112 :rule implies_elim :premises (@p111)) % 15.63/15.86 (step @p113 :rule chain_m_resolution :premises (@p112 @p94) :args (@t144 @t145 (@list @t143))) % 15.63/15.86 (step @p114 :rule quant-merge-prenex :args ((= (forall @t22 @t152) (forall @t100 @t150)))) % 15.63/15.86 (step @p115 :rule alpha_equiv :args (@t153 (@list @t94) @t128)) % 15.63/15.86 (step @p116 :rule quant-unused-vars :args ((= @t154 @t153))) % 15.63/15.86 (step @p117 :rule trans :premises (@p116 @p115)) % 15.63/15.86 (step @p118 :rule alpha_equiv :args (@t155 (@list @t97) @t128)) % 15.63/15.86 (step @p119 :rule quant-unused-vars :args ((= @t156 @t155))) % 15.63/15.86 (step @p120 :rule trans :premises (@p119 @p118)) % 15.63/15.86 (step @p121 :rule nary_cong :premises (@p120 @p117) :args (@t157)) % 15.63/15.86 (step @p122 :rule quant-miniscope-and :args ((= @t158 @t157))) % 15.63/15.86 (step @p123 :rule trans :premises (@p122 @p121)) % 15.63/15.86 (step @p124 :rule refl :args (@t149)) % 15.63/15.86 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t159)) % 15.63/15.86 (step @p126 :rule quant-miniscope-or :args ((= @t152 @t159))) % 15.63/15.86 (step @p127 :rule trans :premises (@p126 @p125)) % 15.63/15.86 (step @p128 :rule symm :premises (@p127)) % 15.63/15.86 (step @p129 :rule cong :premises (@p128) :args ((forall @t22 (or @t149 @t161)))) % 15.63/15.86 (step @p130 :rule trans :premises (@p129 @p114)) % 15.63/15.86 (step @p131 :rule bool-impl-elim :args (@t21 @t161)) % 15.63/15.86 (step @p132 :rule cong :premises (@p131) :args ((forall @t22 (=> @t21 @t161)))) % 15.63/15.86 (step @p133 :rule trans :premises (@p132 @p130)) % 15.63/15.86 (step @p134 :rule bool-impl-elim :args (@t14 @t49)) % 15.63/15.86 (step @p135 :rule cong :premises (@p134) :args (@t50)) % 15.63/15.86 (step @p136 :rule bool-impl-elim :args (@t23 @t51)) % 15.63/15.86 (step @p137 :rule cong :premises (@p136) :args (@t52)) % 15.63/15.86 (step @p138 :rule nary_cong :premises (@p137 @p135) :args (@t53)) % 15.63/15.86 (step @p139 :rule refl :args (@t21)) % 15.63/15.86 (step @p140 :rule cong :premises (@p139 @p138) :args (@t54)) % 15.63/15.86 (step @p141 :rule cong :premises (@p140) :args (@t55)) % 15.63/15.86 (step @p142 :rule trans :premises (@p141 @p133)) % 15.63/15.86 (step @p143 :rule refl :args (@t20)) % 15.63/15.86 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t56)) % 15.63/15.86 (step @p145 :rule refl :args (@t57)) % 15.63/15.86 (step @p146 :rule cong :premises (@p145 @p144) :args (@t58)) % 15.63/15.86 (step @p147 :rule cong :premises (@p146) :args (@t59)) % 15.63/15.86 (step @p148 :rule eq_resolve :premises (@p24 @p147)) % 15.63/15.86 (step @p149 :rule instantiate :premises (@p148) :args ((@list tptp.xJ))) % 15.63/15.86 (step @p150 :rule and_elim :premises (@p25) :args (1)) % 15.63/15.86 (step @p151 :rule cnf_equiv_pos1 :args (@t163)) % 15.63/15.86 (step @p152 :rule reordering :premises (@p151) :args ((or (not @t60) @t162 (not @t163)))) % 15.63/15.86 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p149) :args (@t162 @t164 (@list @t60 @t163))) % 15.63/15.86 (step @p154 :rule cnf_and_pos :args (@t162 0)) % 15.63/15.86 (step @p155 :rule reordering :premises (@p154) :args ((or @t138 (not @t162)))) % 15.63/15.86 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t138 @t145 (@list @t162))) % 15.63/15.86 (step @p157 :rule instantiate :premises (@p148) :args ((@list tptp.xI))) % 15.63/15.86 (step @p158 :rule and_elim :premises (@p25) :args (0)) % 15.63/15.86 (step @p159 :rule cnf_equiv_pos1 :args (@t166)) % 15.63/15.86 (step @p160 :rule reordering :premises (@p159) :args ((or (not @t61) @t165 (not @t166)))) % 15.63/15.86 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p157) :args (@t165 @t164 (@list @t61 @t166))) % 15.63/15.86 (step @p162 :rule cnf_and_pos :args (@t165 0)) % 15.63/15.86 (step @p163 :rule reordering :premises (@p162) :args ((or @t140 (not @t165)))) % 15.63/15.86 (step @p164 :rule chain_m_resolution :premises (@p163 @p161) :args (@t140 @t145 (@list @t165))) % 15.63/15.86 (step @p165 :rule cnf_or_pos :args (@t144)) % 15.63/15.86 (step @p166 :rule reordering :premises (@p165) :args ((or @t141 @t139 @t136 (not @t144)))) % 15.63/15.86 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p156 @p113) :args (@t136 (@list false false false) (@list @t140 @t138 @t144))) % 15.63/15.86 (step @p168 :rule cnf_and_pos :args (@t136 0)) % 15.63/15.86 (step @p169 :rule reordering :premises (@p168) :args ((or @t135 (not @t136)))) % 15.63/15.86 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t135 @t145 (@list @t136))) % 15.63/15.86 (step @p171 :rule instantiate :premises (@p148) :args ((@list @t62))) % 15.63/15.86 (step @p172 :rule refl :args (@t63)) % 15.63/15.86 (step @p173 :rule aci_norm :args ((= (or @t191 @t188) @t190))) % 15.63/15.86 (step @p174 :rule refl :args (@t187)) % 15.63/15.86 (step @p175 :rule bool-double-not-elim :args (@t64)) % 15.63/15.86 (step @p176 :rule bool-double-not-elim :args (@t65)) % 15.63/15.86 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174) :args (@t196)) % 15.63/15.86 (step @p178 :rule aci_norm :args ((= (and @t195 (and @t193 @t187)) @t196))) % 15.63/15.86 (step @p179 :rule trans :premises (@p178 @p177)) % 15.63/15.86 (step @p180 :rule bool-or-de-morgan :args (@t192 @t186 false)) % 15.63/15.86 (step @p181 :rule refl :args (@t195)) % 15.63/15.86 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((and @t195 (not (or @t192 @t186))))) % 15.63/15.86 (step @p183 :rule bool-or-de-morgan :args (@t194 @t192 (or @t186))) % 15.63/15.86 (step @p184 :rule trans :premises (@p183 @p182)) % 15.63/15.86 (step @p185 :rule trans :premises (@p184 @p179)) % 15.63/15.86 (step @p186 :rule aci_norm :args ((= (or @t189 (or @t99 @t160)) @t191))) % 15.63/15.86 (step @p187 :rule bool-and-de-morgan :args (@t87 @t14 true)) % 15.63/15.86 (step @p188 :rule refl :args (@t189)) % 15.63/15.86 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t189 (not (and @t87 @t14))))) % 15.63/15.86 (step @p190 :rule bool-and-de-morgan :args (@t88 @t87 (and @t14))) % 15.63/15.86 (step @p191 :rule trans :premises (@p190 @p189)) % 15.63/15.86 (step @p192 :rule trans :premises (@p191 @p186)) % 15.63/15.86 (step @p193 :rule nary_cong :premises (@p192 @p185) :args ((or (not @t89) @t197))) % 15.63/15.86 (step @p194 :rule trans :premises (@p193 @p173)) % 15.63/15.86 (step @p195 :rule bool-impl-elim :args (@t89 @t197)) % 15.63/15.86 (step @p196 :rule trans :premises (@p195 @p194)) % 15.63/15.86 (step @p197 :rule cong :premises (@p196) :args ((forall @t16 (=> @t89 @t197)))) % 15.63/15.86 (step @p198 :rule aci_norm :args ((= @t199 @t184))) % 15.63/15.86 (step @p199 :rule cong :premises (@p198) :args (@t200)) % 15.63/15.86 (step @p200 :rule quant-merge-prenex :args ((= (forall @t85 @t202) @t200))) % 15.63/15.86 (step @p201 :rule alpha_equiv :args (@t203 (@list @t169 @t167) (@list @t29 @t66))) % 15.63/15.86 (step @p202 :rule refl :args (@t179)) % 15.63/15.86 (step @p203 :rule refl :args (@t180)) % 15.63/15.86 (step @p204 :rule refl :args (@t181)) % 15.63/15.86 (step @p205 :rule refl :args (@t182)) % 15.63/15.86 (step @p206 :rule refl :args (@t183)) % 15.63/15.86 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203 @p202 @p201) :args (@t204)) % 15.63/15.86 (step @p208 :rule quant-miniscope-or :args ((= @t202 @t204))) % 15.63/15.86 (step @p209 :rule trans :premises (@p208 @p207)) % 15.63/15.86 (step @p210 :rule symm :premises (@p209)) % 15.63/15.86 (step @p211 :rule cong :premises (@p210) :args (@t214)) % 15.63/15.86 (step @p212 :rule trans :premises (@p211 @p200)) % 15.63/15.86 (step @p213 :rule trans :premises (@p212 @p199)) % 15.63/15.86 (step @p214 :rule refl :args (@t192)) % 15.63/15.86 (step @p215 :rule refl :args (@t194)) % 15.63/15.86 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t215)) % 15.63/15.86 (step @p217 :rule quant-miniscope-or :args ((= (forall @t85 @t216) @t215))) % 15.63/15.86 (step @p218 :rule aci_norm :args ((= @t217 @t216))) % 15.63/15.86 (step @p219 :rule cong :premises (@p218) :args ((forall @t85 @t217))) % 15.63/15.86 (step @p220 :rule trans :premises (@p219 @p217)) % 15.63/15.86 (step @p221 :rule trans :premises (@p220 @p216)) % 15.63/15.86 (step @p222 :rule aci_norm :args ((= (or @t183 @t182 @t181 @t218) @t217))) % 15.63/15.86 (step @p223 :rule bool-double-not-elim :args (@t218)) % 15.63/15.86 (step @p224 :rule nary_cong :premises (@p206 @p205 @p204 @p223) :args (@t221)) % 15.63/15.86 (step @p225 :rule aci_norm :args ((= (or @t183 (or @t182 (or @t181 @t220))) @t221))) % 15.63/15.86 (step @p226 :rule trans :premises (@p225 @p224)) % 15.63/15.86 (step @p227 :rule bool-and-de-morgan :args (@t81 @t219 true)) % 15.63/15.86 (step @p228 :rule nary_cong :premises (@p205 @p227) :args ((or @t182 (not (and @t81 @t219))))) % 15.63/15.86 (step @p229 :rule bool-and-de-morgan :args (@t82 @t81 (and @t219))) % 15.63/15.86 (step @p230 :rule trans :premises (@p229 @p228)) % 15.63/15.86 (step @p231 :rule nary_cong :premises (@p206 @p230) :args ((or @t183 (not (and @t82 @t81 @t219))))) % 15.63/15.86 (step @p232 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81 @t219))) % 15.63/15.86 (step @p233 :rule trans :premises (@p232 @p231)) % 15.63/15.86 (step @p234 :rule trans :premises (@p233 @p226)) % 15.63/15.86 (step @p235 :rule trans :premises (@p234 @p222)) % 15.63/15.86 (step @p236 :rule cong :premises (@p235) :args (@t223)) % 15.63/15.86 (step @p237 :rule trans :premises (@p236 @p221)) % 15.63/15.86 (step @p238 :rule cong :premises (@p237) :args (@t224)) % 15.63/15.86 (step @p239 :rule exists-elim :args ((= (exists @t85 @t222) @t224))) % 15.63/15.86 (step @p240 :rule trans :premises (@p239 @p238)) % 15.63/15.86 (step @p241 :rule quant-miniscope-or :args ((= (forall @t78 @t225) @t218))) % 15.63/15.86 (step @p242 :rule aci_norm :args ((= @t226 @t225))) % 15.63/15.86 (step @p243 :rule cong :premises (@p242) :args ((forall @t78 @t226))) % 15.63/15.86 (step @p244 :rule trans :premises (@p243 @p241)) % 15.63/15.86 (step @p245 :rule aci_norm :args ((= (or @t210 (or @t209 (or @t208 (or @t207 (or @t206 (or @t180 (or @t179 (or @t205 (or @t194 @t192))))))))) @t226))) % 15.63/15.86 (step @p246 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 15.63/15.86 (step @p247 :rule refl :args (@t205)) % 15.63/15.86 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t205 (not (and @t65 @t64))))) % 15.63/15.86 (step @p249 :rule bool-and-de-morgan :args (@t69 @t65 (and @t64))) % 15.63/15.86 (step @p250 :rule trans :premises (@p249 @p248)) % 15.63/15.86 (step @p251 :rule nary_cong :premises (@p202 @p250) :args ((or @t179 (not (and @t69 @t65 @t64))))) % 15.63/15.86 (step @p252 :rule bool-and-de-morgan :args (@t70 @t69 (and @t65 @t64))) % 15.63/15.86 (step @p253 :rule trans :premises (@p252 @p251)) % 15.63/15.86 (step @p254 :rule nary_cong :premises (@p203 @p253) :args ((or @t180 (not (and @t70 @t69 @t65 @t64))))) % 15.63/15.86 (step @p255 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t65 @t64))) % 15.63/15.86 (step @p256 :rule trans :premises (@p255 @p254)) % 15.63/15.86 (step @p257 :rule refl :args (@t206)) % 15.63/15.86 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t206 (not (and @t71 @t70 @t69 @t65 @t64))))) % 15.63/15.86 (step @p259 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t69 @t65 @t64))) % 15.63/15.86 (step @p260 :rule trans :premises (@p259 @p258)) % 15.63/15.86 (step @p261 :rule refl :args (@t207)) % 15.63/15.86 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t207 (not (and @t72 @t71 @t70 @t69 @t65 @t64))))) % 15.63/15.86 (step @p263 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71 @t70 @t69 @t65 @t64))) % 15.63/15.86 (step @p264 :rule trans :premises (@p263 @p262)) % 15.63/15.86 (step @p265 :rule refl :args (@t208)) % 15.63/15.86 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t208 (not (and @t73 @t72 @t71 @t70 @t69 @t65 @t64))))) % 15.63/15.86 (step @p267 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t71 @t70 @t69 @t65 @t64))) % 15.63/15.86 (step @p268 :rule trans :premises (@p267 @p266)) % 15.63/15.86 (step @p269 :rule refl :args (@t209)) % 15.63/15.86 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t209 (not (and @t74 @t73 @t72 @t71 @t70 @t69 @t65 @t64))))) % 15.63/15.86 (step @p271 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t72 @t71 @t70 @t69 @t65 @t64))) % 15.63/15.86 (step @p272 :rule trans :premises (@p271 @p270)) % 15.63/15.86 (step @p273 :rule refl :args (@t210)) % 15.63/15.86 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or @t210 (not (and @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t65 @t64))))) % 15.63/15.86 (step @p275 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73 @t72 @t71 @t70 @t69 @t65 @t64))) % 15.63/15.86 (step @p276 :rule trans :premises (@p275 @p274)) % 15.63/15.86 (step @p277 :rule trans :premises (@p276 @p245)) % 15.63/15.86 (step @p278 :rule cong :premises (@p277) :args (@t227)) % 15.63/15.86 (step @p279 :rule trans :premises (@p278 @p244)) % 15.63/15.86 (step @p280 :rule cong :premises (@p279) :args (@t228)) % 15.63/15.86 (step @p281 :rule exists-elim :args ((= @t79 @t228))) % 15.63/15.86 (step @p282 :rule trans :premises (@p281 @p280)) % 15.63/15.86 (step @p283 :rule refl :args (@t81)) % 15.63/15.86 (step @p284 :rule refl :args (@t82)) % 15.63/15.86 (step @p285 :rule refl :args (@t83)) % 15.63/15.86 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282) :args (@t84)) % 15.63/15.86 (step @p287 :rule cong :premises (@p286) :args (@t86)) % 15.63/15.86 (step @p288 :rule trans :premises (@p287 @p240)) % 15.63/15.86 (step @p289 :rule refl :args (@t89)) % 15.63/15.86 (step @p290 :rule cong :premises (@p289 @p288) :args (@t90)) % 15.63/15.86 (step @p291 :rule cong :premises (@p290) :args (@t91)) % 15.63/15.86 (step @p292 :rule trans :premises (@p291 @p197)) % 15.63/15.86 (step @p293 :rule cong :premises (@p292 @p172) :args (@t92)) % 15.63/15.86 (step @p294 :rule cong :premises (@p293) :args (@t93)) % 15.63/15.86 (step @p295 :rule eq_resolve :premises (@p26 @p294)) % 15.63/15.86 (step @p296 :rule not_implies_elim2 :premises (@p295)) % 15.63/15.86 (step @p297 :rule cnf_equiv_pos2 :args (@t230)) % 15.63/15.86 (step @p298 :rule reordering :premises (@p297) :args ((or @t63 @t231 (not @t230)))) % 15.63/15.86 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p171) :args (@t231 @t232 (@list @t63 @t230))) % 15.63/15.86 (step @p300 :rule cnf_and_neg :args (@t229)) % 15.63/15.86 (step @p301 :rule chain_m_resolution :premises (@p300 @p299 @p170) :args ((not @t101) @t232 (@list @t229 @t135))) % 15.63/15.86 (step @p302 :rule skolemize :premises (@p301)) % 15.63/15.86 (step @p303 :rule bool-double-not-elim :args (@t233)) % 15.63/15.86 (step @p304 :rule refl :args (@t242)) % 15.63/15.86 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t242 (not @t241)))) % 15.63/15.86 (step @p306 :rule cnf_or_neg :args (@t242 0)) % 15.63/15.86 (step @p307 :rule eq_resolve :premises (@p306 @p305)) % 15.63/15.86 (step @p308 :rule reordering :premises (@p307) :args ((or @t233 @t242))) % 15.63/15.86 (step @p309 :rule chain_m_resolution :premises (@p308 @p302) :args (@t233 @t243 @t244)) % 15.63/15.86 (step @p310 :rule not_implies_elim1 :premises (@p295)) % 15.63/15.86 (step @p311 :rule eq-symm :args (@t245 @t171)) % 15.63/15.86 (step @p312 :rule cong :premises (@p311) :args (@t246)) % 15.63/15.86 (step @p313 :rule refl :args (@t173)) % 15.63/15.86 (step @p314 :rule refl :args (@t174)) % 15.63/15.86 (step @p315 :rule eq-symm :args (@t104 @t175)) % 15.63/15.86 (step @p316 :rule cong :premises (@p315) :args (@t247)) % 15.63/15.86 (step @p317 :rule refl :args (@t177)) % 15.63/15.86 (step @p318 :rule refl :args (@t178)) % 15.63/15.86 (step @p319 :rule refl :args (@t248)) % 15.63/15.86 (step @p320 :rule refl :args (@t249)) % 15.63/15.86 (step @p321 :rule eq-symm :args (@t104 @t80)) % 15.63/15.86 (step @p322 :rule cong :premises (@p321) :args (@t250)) % 15.63/15.86 (step @p323 :rule refl :args (@t182)) % 15.63/15.86 (step @p324 :rule refl :args (@t183)) % 15.63/15.86 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322 @p320 @p319 @p318 @p317 @p316 @p314 @p313 @p312) :args (@t251)) % 15.63/15.86 (step @p326 :rule cong :premises (@p325) :args (@t252)) % 15.63/15.86 (step @p327 :rule cong :premises (@p326) :args (@t253)) % 15.63/15.86 (step @p328 :rule refl :args (@t105)) % 15.63/15.86 (step @p329 :rule refl :args (@t254)) % 15.63/15.86 (step @p330 :rule nary_cong :premises (@p329 @p328 @p327) :args (@t255)) % 15.63/15.86 (step @p331 :rule refl :args (@t106)) % 15.63/15.86 (step @p332 :rule refl :args (@t241)) % 15.63/15.86 (step @p333 :rule nary_cong :premises (@p332 @p332 @p331 @p330) :args (@t256)) % 15.63/15.86 (step @p334 :rule refl :args (@t257)) % 15.63/15.86 (step @p335 :rule cong :premises (@p334 @p333) :args ((=> @t257 @t256))) % 15.63/15.86 (assume-push @p393 @t257) % 15.63/15.86 (step @p337 :rule instantiate :premises (@p310) :args ((@list @t104 @t104 @t102))) % 15.63/15.86 (step-pop @p394 :rule scope :premises (@p337)) % 15.63/15.86 (step @p338 :rule process_scope :premises (@p394) :args (@t256)) % 15.63/15.86 (step @p340 :rule eq_resolve :premises (@p338 @p335)) % 15.63/15.86 (step @p341 :rule implies_elim :premises (@p340)) % 15.63/15.86 (step @p342 :rule chain_m_resolution :premises (@p341 @p310) :args (@t260 @t145 @t261)) % 15.63/15.86 (step @p343 :rule cnf_or_pos :args (@t260)) % 15.63/15.86 (step @p344 :rule factoring :premises (@p343)) % 15.63/15.86 (step @p345 :rule reordering :premises (@p344) :args ((or @t241 @t106 @t259 (not @t260)))) % 15.63/15.86 (step @p346 :rule cnf_and_pos :args (@t259 1)) % 15.63/15.86 (step @p347 :rule reordering :premises (@p346) :args ((or @t105 (not @t259)))) % 15.63/15.86 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p342 @p309 @p34 @p33) :args (@t107 (@list false false false true false) (@list @t259 @t260 @t233 @t105 @t103))) % 15.63/15.86 (step @p349 :rule cnf_or_neg :args (@t242 1)) % 15.63/15.86 (step @p350 :rule chain_m_resolution :premises (@p349 @p302) :args ((not @t240) @t243 @t244)) % 15.63/15.86 (step @p351 :rule cnf_and_neg :args (@t240)) % 15.63/15.86 (step @p352 :rule chain_m_resolution :premises (@p351 @p350 @p348) :args ((not @t239) @t232 (@list @t240 @t107))) % 15.63/15.86 (step @p353 :rule cnf_or_neg :args (@t239 1)) % 15.63/15.86 (step @p354 :rule chain_m_resolution :premises (@p353 @p352) :args ((not @t236) @t243 @t262)) % 15.63/15.86 (step @p355 :rule eq-symm :args (@t235 @t171)) % 15.63/15.86 (step @p356 :rule cong :premises (@p355) :args (@t263)) % 15.63/15.86 (step @p357 :rule eq-symm :args (@t234 @t175)) % 15.63/15.86 (step @p358 :rule cong :premises (@p357) :args (@t264)) % 15.63/15.86 (step @p359 :rule refl :args (@t265)) % 15.63/15.86 (step @p360 :rule refl :args (@t266)) % 15.63/15.86 (step @p361 :rule nary_cong :premises (@p324 @p323 @p322 @p360 @p359 @p318 @p317 @p358 @p314 @p313 @p356) :args (@t267)) % 15.63/15.86 (step @p362 :rule cong :premises (@p361) :args (@t268)) % 15.63/15.86 (step @p363 :rule cong :premises (@p362) :args (@t269)) % 15.63/15.86 (step @p364 :rule refl :args (@t270)) % 15.63/15.86 (step @p365 :rule refl :args (@t236)) % 15.63/15.86 (step @p366 :rule nary_cong :premises (@p365 @p364 @p363) :args (@t271)) % 15.63/15.86 (step @p367 :rule refl :args (@t272)) % 15.63/15.86 (step @p368 :rule refl :args (@t238)) % 15.63/15.86 (step @p369 :rule nary_cong :premises (@p332 @p368 @p367 @p366) :args (@t273)) % 15.63/15.86 (step @p370 :rule cong :premises (@p334 @p369) :args ((=> @t257 @t273))) % 15.63/15.86 (assume-push @p395 @t257) % 15.63/15.86 (step @p372 :rule instantiate :premises (@p310) :args ((@list @t104 @t234 tptp.sz10))) % 15.63/15.86 (step-pop @p396 :rule scope :premises (@p372)) % 15.63/15.86 (step @p373 :rule process_scope :premises (@p396) :args (@t273)) % 15.63/15.86 (step @p375 :rule eq_resolve :premises (@p373 @p370)) % 15.63/15.86 (step @p376 :rule implies_elim :premises (@p375)) % 15.63/15.86 (step @p377 :rule chain_m_resolution :premises (@p376 @p310) :args (@t275 @t145 @t261)) % 15.63/15.86 (step @p378 :rule bool-double-not-elim :args (@t237)) % 15.63/15.86 (step @p379 :rule refl :args (@t239)) % 15.63/15.86 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t239 (not @t238)))) % 15.63/15.86 (step @p381 :rule cnf_or_neg :args (@t239 0)) % 15.63/15.86 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 15.63/15.86 (step @p383 :rule reordering :premises (@p382) :args ((or @t237 @t239))) % 15.63/15.86 (step @p384 :rule chain_m_resolution :premises (@p383 @p352) :args (@t237 @t243 @t262)) % 15.63/15.86 (step @p385 :rule cnf_or_pos :args (@t275)) % 15.63/15.86 (step @p386 :rule reordering :premises (@p385) :args ((or @t272 @t241 @t238 @t274 (not @t275)))) % 15.63/15.86 (step @p387 :rule chain_m_resolution :premises (@p386 @p3 @p309 @p384 @p377) :args (@t274 (@list false false false false) (@list @t4 @t233 @t237 @t275))) % 15.63/15.86 (step @p388 :rule cnf_and_pos :args (@t274 0)) % 15.63/15.86 (step @p389 :rule reordering :premises (@p388) :args ((or @t236 (not @t274)))) % 15.63/15.86 (step @p390 false :rule chain_m_resolution :premises (@p389 @p387 @p354) :args (false (@list false true) (@list @t274 @t236))) % 15.63/15.86 ) % 15.63/15.86 % SZS output end Proof % 15.63/15.86 % cvc5 exiting %------------------------------------------------------------------------------