%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM481+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:39:34 AM UTC 2026 % Result : Theorem 2.73s 2.94s % Output : Proof 2.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM481+3 : TPTP v9.2.1. Released v4.0.0. % 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 : n022.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 11:22:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 2.73/2.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.73/2.94 % SZS status Theorem % 2.73/2.94 % SZS output start Proof % 2.73/2.94 ( % 2.73/2.94 (declare-sort $$unsorted 0) % 2.73/2.94 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 2.73/2.94 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 2.73/2.94 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.73/2.94 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.73/2.94 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.73/2.94 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 2.73/2.94 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.73/2.94 (declare-const tptp.sz10 $$unsorted) % 2.73/2.94 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 2.73/2.94 (declare-const tptp.sz00 $$unsorted) % 2.73/2.94 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 2.73/2.94 (define @t1 () (@var "W0" $$unsorted)) % 2.73/2.94 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 2.73/2.94 (define @t3 () (@list @t1)) % 2.73/2.94 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 2.73/2.94 (define @t5 () (@var "W1" $$unsorted)) % 2.73/2.94 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 2.73/2.94 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 2.73/2.94 (define @t8 () (and @t2 @t7)) % 2.73/2.94 (define @t9 () (@list @t1 @t5)) % 2.73/2.94 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 2.73/2.94 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 2.73/2.94 (define @t12 () (forall @t9 (=> @t8 @t11))) % 2.73/2.94 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 2.73/2.94 (define @t14 () (@var "W2" $$unsorted)) % 2.73/2.94 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 2.73/2.94 (define @t16 () (tptp.aNaturalNumber0 @t14)) % 2.73/2.94 (define @t17 () (and @t2 @t7 @t16)) % 2.73/2.94 (define @t18 () (@list @t1 @t5 @t14)) % 2.73/2.94 (define @t19 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 2.73/2.94 (define @t20 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 2.73/2.94 (define @t21 () (and (= @t20 @t1) @t19)) % 2.73/2.94 (define @t22 () (=> @t2 @t21)) % 2.73/2.94 (define @t23 () (forall @t3 @t22)) % 2.73/2.94 (define @t24 () (tptp.sdtasdt0 @t5 @t1)) % 2.73/2.94 (define @t25 () (= @t10 @t24)) % 2.73/2.94 (define @t26 () (forall @t9 (=> @t8 @t25))) % 2.73/2.94 (define @t27 () (tptp.sdtasdt0 @t5 @t14)) % 2.73/2.94 (define @t28 () (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 @t27))) % 2.73/2.94 (define @t29 () (forall @t18 (=> @t17 @t28))) % 2.73/2.94 (define @t30 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 2.73/2.94 (define @t31 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 2.73/2.94 (define @t32 () (and (= @t31 @t1) @t30)) % 2.73/2.94 (define @t33 () (=> @t2 @t32)) % 2.73/2.94 (define @t34 () (forall @t3 @t33)) % 2.73/2.94 (define @t35 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 2.73/2.94 (define @t36 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 2.73/2.94 (define @t37 () (and (= @t36 tptp.sz00) @t35)) % 2.73/2.94 (define @t38 () (=> @t2 @t37)) % 2.73/2.94 (define @t39 () (forall @t3 @t38)) % 2.73/2.94 (define @t40 () (tptp.sdtasdt0 @t14 @t1)) % 2.73/2.94 (define @t41 () (tptp.sdtasdt0 @t1 @t14)) % 2.73/2.94 (define @t42 () (= @t5 @t14)) % 2.73/2.94 (define @t43 () (tptp.sdtpldt0 @t14 @t1)) % 2.73/2.94 (define @t44 () (tptp.sdtpldt0 @t1 @t14)) % 2.73/2.94 (define @t45 () (= @t24 @t40)) % 2.73/2.94 (define @t46 () (= @t10 @t41)) % 2.73/2.94 (define @t47 () (and @t7 @t16)) % 2.73/2.94 (define @t48 () (= @t1 tptp.sz00)) % 2.73/2.94 (define @t49 () (not @t48)) % 2.73/2.94 (define @t50 () (= @t5 tptp.sz00)) % 2.73/2.94 (define @t51 () (and @t16 (= @t44 @t5))) % 2.73/2.94 (define @t52 () (@list @t14)) % 2.73/2.94 (define @t53 () (tptp.sdtlseqdt0 @t1 @t5)) % 2.73/2.94 (define @t54 () (= @t1 @t5)) % 2.73/2.94 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 2.73/2.94 (define @t56 () (tptp.sdtlseqdt0 @t5 @t14)) % 2.73/2.94 (define @t57 () (= @t5 @t1)) % 2.73/2.94 (define @t58 () (tptp.sdtpldt0 @t14 @t5)) % 2.73/2.94 (define @t59 () (not @t54)) % 2.73/2.94 (define @t60 () (and @t59 @t53)) % 2.73/2.94 (define @t61 () (= @t1 tptp.sz10)) % 2.73/2.94 (define @t62 () (tptp.iLess0 @t1 @t5)) % 2.73/2.94 (define @t63 () (=> @t60 @t62)) % 2.73/2.94 (define @t64 () (forall @t9 (=> @t8 @t63))) % 2.73/2.94 (define @t65 () (= @t5 @t41)) % 2.73/2.94 (define @t66 () (and @t16 @t65)) % 2.73/2.94 (define @t67 () (exists @t52 @t66)) % 2.73/2.94 (define @t68 () (tptp.doDivides0 @t1 @t5)) % 2.73/2.94 (define @t69 () (= @t68 @t67)) % 2.73/2.94 (define @t70 () (=> @t8 @t69)) % 2.73/2.94 (define @t71 () (forall @t9 @t70)) % 2.73/2.94 (define @t72 () (tptp.sdtsldt0 @t5 @t1)) % 2.73/2.94 (define @t73 () (and @t49 @t68)) % 2.73/2.94 (define @t74 () (tptp.doDivides0 @t1 @t14)) % 2.73/2.94 (define @t75 () (tptp.doDivides0 @t1 @t15)) % 2.73/2.94 (define @t76 () (not @t50)) % 2.73/2.94 (define @t77 () (and @t68 @t76)) % 2.73/2.94 (define @t78 () (=> @t77 @t53)) % 2.73/2.94 (define @t79 () (=> @t8 @t78)) % 2.73/2.94 (define @t80 () (forall @t9 @t79)) % 2.73/2.94 (define @t81 () (= @t5 tptp.sz10)) % 2.73/2.94 (define @t82 () (or @t81 @t57)) % 2.73/2.94 (define @t83 () (tptp.doDivides0 @t5 @t1)) % 2.73/2.94 (define @t84 () (and @t7 @t83)) % 2.73/2.94 (define @t85 () (=> @t84 @t82)) % 2.73/2.94 (define @t86 () (@list @t5)) % 2.73/2.94 (define @t87 () (forall @t86 @t85)) % 2.73/2.94 (define @t88 () (not @t61)) % 2.73/2.94 (define @t89 () (and @t49 @t88 @t87)) % 2.73/2.94 (define @t90 () (tptp.isPrime0 @t1)) % 2.73/2.94 (define @t91 () (= @t90 @t89)) % 2.73/2.94 (define @t92 () (=> @t2 @t91)) % 2.73/2.94 (define @t93 () (forall @t3 @t92)) % 2.73/2.94 (define @t94 () (tptp.isPrime0 @t5)) % 2.73/2.94 (define @t95 () (= @t14 tptp.sz10)) % 2.73/2.94 (define @t96 () (or @t95 (= @t14 @t5))) % 2.73/2.94 (define @t97 () (tptp.doDivides0 @t14 @t5)) % 2.73/2.94 (define @t98 () (@var "W3" $$unsorted)) % 2.73/2.94 (define @t99 () (= @t5 (tptp.sdtasdt0 @t14 @t98))) % 2.73/2.94 (define @t100 () (tptp.aNaturalNumber0 @t98)) % 2.73/2.94 (define @t101 () (and @t100 @t99)) % 2.73/2.94 (define @t102 () (@list @t98)) % 2.73/2.94 (define @t103 () (exists @t102 @t101)) % 2.73/2.94 (define @t104 () (and @t16 @t103 @t97)) % 2.73/2.94 (define @t105 () (=> @t104 @t96)) % 2.73/2.94 (define @t106 () (forall @t52 @t105)) % 2.73/2.94 (define @t107 () (not @t81)) % 2.73/2.94 (define @t108 () (and @t76 @t107 @t106)) % 2.73/2.94 (define @t109 () (or @t108 @t94)) % 2.73/2.94 (define @t110 () (= @t1 @t27)) % 2.73/2.94 (define @t111 () (and @t16 @t110)) % 2.73/2.94 (define @t112 () (exists @t52 @t111)) % 2.73/2.94 (define @t113 () (or @t112 @t83)) % 2.73/2.94 (define @t114 () (and @t7 @t113 @t109)) % 2.73/2.94 (define @t115 () (exists @t86 @t114)) % 2.73/2.94 (define @t116 () (tptp.isPrime0 @t14)) % 2.73/2.94 (define @t117 () (or (= @t98 tptp.sz10) (= @t98 @t14))) % 2.73/2.94 (define @t118 () (tptp.doDivides0 @t98 @t14)) % 2.73/2.94 (define @t119 () (@var "W4" $$unsorted)) % 2.73/2.94 (define @t120 () (= @t14 (tptp.sdtasdt0 @t98 @t119))) % 2.73/2.94 (define @t121 () (tptp.aNaturalNumber0 @t119)) % 2.73/2.94 (define @t122 () (and @t121 @t120)) % 2.73/2.94 (define @t123 () (@list @t119)) % 2.73/2.94 (define @t124 () (exists @t123 @t122)) % 2.73/2.94 (define @t125 () (or @t124 @t118)) % 2.73/2.94 (define @t126 () (and @t100 @t125)) % 2.73/2.94 (define @t127 () (=> @t126 @t117)) % 2.73/2.94 (define @t128 () (forall @t102 @t127)) % 2.73/2.94 (define @t129 () (not @t95)) % 2.73/2.94 (define @t130 () (not (= @t14 tptp.sz00))) % 2.73/2.94 (define @t131 () (and @t16 @t103 @t97 @t130 @t129 @t128 @t116)) % 2.73/2.94 (define @t132 () (exists @t52 @t131)) % 2.73/2.94 (define @t133 () (tptp.iLess0 @t5 @t1)) % 2.73/2.94 (define @t134 () (=> @t133 @t132)) % 2.73/2.94 (define @t135 () (and @t7 @t76 @t107)) % 2.73/2.94 (define @t136 () (=> @t135 @t134)) % 2.73/2.94 (define @t137 () (forall @t86 @t136)) % 2.73/2.94 (define @t138 () (=> @t137 @t115)) % 2.73/2.94 (define @t139 () (and @t2 @t49 @t88)) % 2.73/2.94 (define @t140 () (=> @t139 @t138)) % 2.73/2.94 (define @t141 () (forall @t3 @t140)) % 2.73/2.94 (define @t142 () (not @t141)) % 2.73/2.94 (define @t143 () (not @t16)) % 2.73/2.94 (define @t144 () (= @t68 (not (forall @t52 (or @t143 (not @t65)))))) % 2.73/2.94 (define @t145 () (not @t7)) % 2.73/2.94 (define @t146 () (not @t2)) % 2.73/2.94 (define @t147 () (or @t146 @t145)) % 2.73/2.94 (define @t148 () (not @t8)) % 2.73/2.94 (define @t149 () (forall @t52 (not @t66))) % 2.73/2.94 (define @t150 () (not @t149)) % 2.73/2.94 (define @t151 () (not @t94)) % 2.73/2.94 (define @t152 () (@var "BOUND_VARIABLE_8182" $$unsorted)) % 2.73/2.94 (define @t153 () (tptp.sdtasdt0 @t14 @t152)) % 2.73/2.94 (define @t154 () (not (= @t5 @t153))) % 2.73/2.94 (define @t155 () (not (tptp.aNaturalNumber0 @t152))) % 2.73/2.94 (define @t156 () (= tptp.sz10 @t14)) % 2.73/2.94 (define @t157 () (not @t97)) % 2.73/2.94 (define @t158 () (or @t143 @t157 @t156 @t42 @t155 @t154)) % 2.73/2.94 (define @t159 () (@list @t14 @t152)) % 2.73/2.94 (define @t160 () (forall @t159 @t158)) % 2.73/2.94 (define @t161 () (not @t160)) % 2.73/2.94 (define @t162 () (= tptp.sz10 @t5)) % 2.73/2.94 (define @t163 () (= tptp.sz00 @t5)) % 2.73/2.94 (define @t164 () (and (or @t163 @t162 @t161) @t151)) % 2.73/2.94 (define @t165 () (not @t83)) % 2.73/2.94 (define @t166 () (@var "BOUND_VARIABLE_8212" $$unsorted)) % 2.73/2.94 (define @t167 () (tptp.sdtasdt0 @t5 @t166)) % 2.73/2.94 (define @t168 () (not (tptp.aNaturalNumber0 @t166))) % 2.73/2.94 (define @t169 () (or @t168 (not (= @t1 @t167)))) % 2.73/2.94 (define @t170 () (and @t169 @t165)) % 2.73/2.94 (define @t171 () (or @t145 @t170 @t164)) % 2.73/2.94 (define @t172 () (@list @t5 @t166)) % 2.73/2.94 (define @t173 () (forall @t172 @t171)) % 2.73/2.94 (define @t174 () (not @t173)) % 2.73/2.94 (define @t175 () (@var "BOUND_VARIABLE_8143" $$unsorted)) % 2.73/2.94 (define @t176 () (tptp.sdtasdt0 @t14 @t175)) % 2.73/2.94 (define @t177 () (not (= @t5 @t176))) % 2.73/2.94 (define @t178 () (not (tptp.aNaturalNumber0 @t175))) % 2.73/2.94 (define @t179 () (not @t116)) % 2.73/2.94 (define @t180 () (= @t14 @t98)) % 2.73/2.94 (define @t181 () (= tptp.sz10 @t98)) % 2.73/2.94 (define @t182 () (not @t118)) % 2.73/2.94 (define @t183 () (@var "BOUND_VARIABLE_8121" $$unsorted)) % 2.73/2.94 (define @t184 () (tptp.sdtasdt0 @t98 @t183)) % 2.73/2.94 (define @t185 () (not (tptp.aNaturalNumber0 @t183))) % 2.73/2.94 (define @t186 () (or @t185 (not (= @t14 @t184)))) % 2.73/2.94 (define @t187 () (and @t186 @t182)) % 2.73/2.94 (define @t188 () (not @t100)) % 2.73/2.94 (define @t189 () (or @t188 @t187 @t181 @t180)) % 2.73/2.94 (define @t190 () (@list @t98 @t183)) % 2.73/2.94 (define @t191 () (forall @t190 @t189)) % 2.73/2.94 (define @t192 () (not @t191)) % 2.73/2.94 (define @t193 () (= tptp.sz00 @t14)) % 2.73/2.94 (define @t194 () (or @t143 @t157 @t193 @t156 @t192 @t179 @t178 @t177)) % 2.73/2.94 (define @t195 () (@list @t14 @t175)) % 2.73/2.94 (define @t196 () (not (forall @t195 @t194))) % 2.73/2.94 (define @t197 () (not @t133)) % 2.73/2.94 (define @t198 () (or @t145 @t163 @t162 @t197 @t196)) % 2.73/2.94 (define @t199 () (forall @t86 @t198)) % 2.73/2.94 (define @t200 () (not @t199)) % 2.73/2.94 (define @t201 () (or @t146 @t48 @t61 @t200 @t174)) % 2.73/2.94 (define @t202 () (forall @t3 @t201)) % 2.73/2.94 (define @t203 () (@quantifiers_skolemize @t202 0)) % 2.73/2.94 (define @t204 () (not (tptp.doDivides0 @t5 @t203))) % 2.73/2.94 (define @t205 () (forall @t86 (or @t145 @t204 @t162 (= @t5 @t203)))) % 2.73/2.94 (define @t206 () (@quantifiers_skolemize @t205 0)) % 2.73/2.94 (define @t207 () (@list @t206 @t203)) % 2.73/2.94 (define @t208 () (or @t145 @t165 @t162 @t54)) % 2.73/2.94 (define @t209 () (= @t90 (and @t49 @t88 (forall @t86 @t208)))) % 2.73/2.94 (define @t210 () (or @t162 @t54)) % 2.73/2.94 (define @t211 () (or @t145 @t204 @t162 (= @t203 @t5))) % 2.73/2.94 (define @t212 () (forall @t86 @t211)) % 2.73/2.94 (define @t213 () (= @t203 tptp.sz10)) % 2.73/2.94 (define @t214 () (not @t213)) % 2.73/2.94 (define @t215 () (= @t203 tptp.sz00)) % 2.73/2.94 (define @t216 () (not @t215)) % 2.73/2.94 (define @t217 () (and @t216 @t214 @t212)) % 2.73/2.94 (define @t218 () (tptp.isPrime0 @t203)) % 2.73/2.94 (define @t219 () (= @t218 @t217)) % 2.73/2.94 (define @t220 () (tptp.aNaturalNumber0 @t203)) % 2.73/2.94 (define @t221 () (not @t220)) % 2.73/2.94 (define @t222 () (or @t221 @t219)) % 2.73/2.94 (define @t223 () (forall @t3 (or @t146 @t209))) % 2.73/2.94 (define @t224 () (@list @t203)) % 2.73/2.94 (define @t225 () (= tptp.sz10 @t203)) % 2.73/2.94 (define @t226 () (not @t225)) % 2.73/2.94 (define @t227 () (= tptp.sz00 @t203)) % 2.73/2.94 (define @t228 () (not @t227)) % 2.73/2.94 (define @t229 () (and @t228 @t226 @t205)) % 2.73/2.94 (define @t230 () (= @t218 @t229)) % 2.73/2.94 (define @t231 () (or @t221 @t230)) % 2.73/2.94 (define @t232 () (@list false)) % 2.73/2.94 (define @t233 () (not @t88)) % 2.73/2.94 (define @t234 () (not @t49)) % 2.73/2.94 (define @t235 () (or @t146 @t234 @t233)) % 2.73/2.94 (define @t236 () (=> @t199 @t174)) % 2.73/2.94 (define @t237 () (@list @t166)) % 2.73/2.94 (define @t238 () (forall @t237 @t171)) % 2.73/2.94 (define @t239 () (forall @t237 @t165)) % 2.73/2.94 (define @t240 () (forall @t237 @t169)) % 2.73/2.94 (define @t241 () (and @t240 @t239)) % 2.73/2.94 (define @t242 () (forall @t237 @t170)) % 2.73/2.94 (define @t243 () (or @t145 @t242 @t164)) % 2.73/2.94 (define @t244 () (forall @t52 (or @t143 (not @t110)))) % 2.73/2.94 (define @t245 () (not @t162)) % 2.73/2.94 (define @t246 () (not @t245)) % 2.73/2.94 (define @t247 () (not @t163)) % 2.73/2.94 (define @t248 () (not @t247)) % 2.73/2.94 (define @t249 () (or @t248 @t246 @t161)) % 2.73/2.94 (define @t250 () (and @t247 @t245 @t160)) % 2.73/2.94 (define @t251 () (not @t244)) % 2.73/2.94 (define @t252 () (or @t250 @t94)) % 2.73/2.94 (define @t253 () (not @t252)) % 2.73/2.94 (define @t254 () (or @t251 @t83)) % 2.73/2.94 (define @t255 () (not @t254)) % 2.73/2.94 (define @t256 () (or @t145 @t255 @t253)) % 2.73/2.94 (define @t257 () (and @t7 @t254 @t252)) % 2.73/2.94 (define @t258 () (forall @t86 (not @t257))) % 2.73/2.94 (define @t259 () (not @t258)) % 2.73/2.94 (define @t260 () (or @t155 @t154)) % 2.73/2.94 (define @t261 () (or @t143 @t260 @t157 @t156 @t42)) % 2.73/2.94 (define @t262 () (forall @t159 @t261)) % 2.73/2.94 (define @t263 () (@list @t152)) % 2.73/2.94 (define @t264 () (forall @t263 @t261)) % 2.73/2.94 (define @t265 () (forall @t263 @t260)) % 2.73/2.94 (define @t266 () (@list @t98)) % 2.73/2.94 (define @t267 () (or @t143 @t265 @t157 @t156 @t42)) % 2.73/2.94 (define @t268 () (forall @t102 (or @t188 (not @t99)))) % 2.73/2.94 (define @t269 () (or @t143 @t268 @t157 @t156 @t42)) % 2.73/2.94 (define @t270 () (or @t156 @t42)) % 2.73/2.94 (define @t271 () (not @t268)) % 2.73/2.94 (define @t272 () (not @t271)) % 2.73/2.94 (define @t273 () (or @t143 @t272 @t157)) % 2.73/2.94 (define @t274 () (and @t16 @t271 @t97)) % 2.73/2.94 (define @t275 () (forall @t102 (not @t101))) % 2.73/2.94 (define @t276 () (not @t275)) % 2.73/2.94 (define @t277 () (forall @t52 (not @t111))) % 2.73/2.94 (define @t278 () (not @t277)) % 2.73/2.94 (define @t279 () (or @t145 @t248 @t246)) % 2.73/2.94 (define @t280 () (=> @t133 @t196)) % 2.73/2.94 (define @t281 () (and @t7 @t247 @t245)) % 2.73/2.94 (define @t282 () (or @t178 @t177)) % 2.73/2.94 (define @t283 () (or @t143 @t282 @t157 @t193 @t156 @t192 @t179)) % 2.73/2.94 (define @t284 () (forall @t195 @t283)) % 2.73/2.94 (define @t285 () (@list @t175)) % 2.73/2.94 (define @t286 () (forall @t285 @t283)) % 2.73/2.94 (define @t287 () (forall @t285 @t282)) % 2.73/2.94 (define @t288 () (or @t143 @t287 @t157 @t193 @t156 @t192 @t179)) % 2.73/2.94 (define @t289 () (not @t156)) % 2.73/2.94 (define @t290 () (not @t289)) % 2.73/2.94 (define @t291 () (not @t193)) % 2.73/2.94 (define @t292 () (not @t291)) % 2.73/2.94 (define @t293 () (or @t143 @t272 @t157 @t292 @t290 @t192 @t179)) % 2.73/2.94 (define @t294 () (and @t16 @t271 @t97 @t291 @t289 @t191 @t116)) % 2.73/2.94 (define @t295 () (forall @t52 (not @t294))) % 2.73/2.94 (define @t296 () (not @t295)) % 2.73/2.94 (define @t297 () (@list @t183)) % 2.73/2.94 (define @t298 () (forall @t297 @t189)) % 2.73/2.94 (define @t299 () (forall @t297 @t182)) % 2.73/2.94 (define @t300 () (forall @t297 @t186)) % 2.73/2.94 (define @t301 () (and @t300 @t299)) % 2.73/2.94 (define @t302 () (forall @t297 @t187)) % 2.73/2.94 (define @t303 () (or @t188 @t302 @t181 @t180)) % 2.73/2.94 (define @t304 () (forall @t123 (or (not @t121) (not @t120)))) % 2.73/2.94 (define @t305 () (and @t304 @t182)) % 2.73/2.94 (define @t306 () (or @t188 @t305 @t181 @t180)) % 2.73/2.94 (define @t307 () (or @t181 @t180)) % 2.73/2.94 (define @t308 () (not @t304)) % 2.73/2.94 (define @t309 () (or @t308 @t118)) % 2.73/2.94 (define @t310 () (and @t100 @t309)) % 2.73/2.94 (define @t311 () (forall @t123 (not @t122))) % 2.73/2.94 (define @t312 () (not @t311)) % 2.73/2.94 (define @t313 () (forall @t172 (or @t145 (and (or @t168 (not (= @t167 @t203))) @t204) @t164))) % 2.73/2.94 (define @t314 () (not @t313)) % 2.73/2.94 (define @t315 () (forall @t86 (or @t145 @t163 @t162 (not (tptp.iLess0 @t5 @t203)) @t196))) % 2.73/2.94 (define @t316 () (not @t315)) % 2.73/2.94 (define @t317 () (or @t221 @t227 @t225 @t316 @t314)) % 2.73/2.94 (define @t318 () (not @t317)) % 2.73/2.94 (define @t319 () (not @t202)) % 2.73/2.94 (define @t320 () (not (= @t203 @t167))) % 2.73/2.94 (define @t321 () (or @t168 @t320)) % 2.73/2.94 (define @t322 () (and @t321 @t204)) % 2.73/2.94 (define @t323 () (or @t145 @t322 @t164)) % 2.73/2.94 (define @t324 () (forall @t172 @t323)) % 2.73/2.94 (define @t325 () (not @t324)) % 2.73/2.94 (define @t326 () (or @t221 @t215 @t213 @t316 @t325)) % 2.73/2.94 (define @t327 () (not @t326)) % 2.73/2.94 (define @t328 () (@list true)) % 2.73/2.94 (define @t329 () (@list @t317)) % 2.73/2.94 (define @t330 () (@list false false)) % 2.73/2.94 (define @t331 () (not @t218)) % 2.73/2.94 (define @t332 () (not (= @t203 @t153))) % 2.73/2.94 (define @t333 () (not (tptp.doDivides0 @t14 @t203))) % 2.73/2.94 (define @t334 () (or @t143 @t333 @t156 (= @t203 @t14) @t155 @t332)) % 2.73/2.94 (define @t335 () (forall @t159 @t334)) % 2.73/2.94 (define @t336 () (not @t335)) % 2.73/2.94 (define @t337 () (or @t227 @t225 @t336)) % 2.73/2.94 (define @t338 () (and @t337 @t331)) % 2.73/2.94 (define @t339 () (not (tptp.doDivides0 @t203 @t203))) % 2.73/2.94 (define @t340 () (tptp.sdtasdt0 @t203 tptp.sz10)) % 2.73/2.94 (define @t341 () (not (= @t340 @t203))) % 2.73/2.94 (define @t342 () (not @t4)) % 2.73/2.94 (define @t343 () (or @t342 @t341)) % 2.73/2.94 (define @t344 () (and @t343 @t339)) % 2.73/2.94 (define @t345 () (or @t221 @t344 @t338)) % 2.73/2.94 (define @t346 () (and (or @t227 @t225 (not (forall @t159 (or @t143 @t333 @t156 (= @t14 @t203) @t155 (not (= @t153 @t203)))))) @t331)) % 2.73/2.94 (define @t347 () (= @t203 @t340)) % 2.73/2.94 (define @t348 () (not @t347)) % 2.73/2.94 (define @t349 () (or @t342 @t348)) % 2.73/2.94 (define @t350 () (and @t349 @t339)) % 2.73/2.94 (define @t351 () (or @t221 @t350 @t346)) % 2.73/2.94 (define @t352 () (@list @t313)) % 2.73/2.94 (define @t353 () (and (= @t1 @t31) @t30)) % 2.73/2.94 (define @t354 () (and @t347 (= @t203 (tptp.sdtasdt0 tptp.sz10 @t203)))) % 2.73/2.94 (define @t355 () (or @t221 @t354)) % 2.73/2.94 (define @t356 () (not @t349)) % 2.73/2.94 (define @t357 () (not @t350)) % 2.73/2.94 (define @t358 () (@list false true false)) % 2.73/2.94 (define @t359 () (not @t229)) % 2.73/2.94 (define @t360 () (not @t205)) % 2.73/2.94 (define @t361 () (= @t203 @t206)) % 2.73/2.94 (define @t362 () (= tptp.sz10 @t206)) % 2.73/2.94 (define @t363 () (tptp.doDivides0 @t206 @t203)) % 2.73/2.94 (define @t364 () (not @t363)) % 2.73/2.94 (define @t365 () (tptp.aNaturalNumber0 @t206)) % 2.73/2.94 (define @t366 () (not @t365)) % 2.73/2.94 (define @t367 () (or @t366 @t364 @t362 @t361)) % 2.73/2.94 (define @t368 () (not @t367)) % 2.73/2.94 (define @t369 () (= @t206 @t203)) % 2.73/2.94 (define @t370 () (or @t366 @t364 @t362 @t369)) % 2.73/2.94 (define @t371 () (not @t370)) % 2.73/2.94 (define @t372 () (@list @t367)) % 2.73/2.94 (define @t373 () (forall @t52 (or @t143 (not (= @t203 (tptp.sdtasdt0 @t206 @t14)))))) % 2.73/2.94 (define @t374 () (not @t373)) % 2.73/2.94 (define @t375 () (= @t363 @t374)) % 2.73/2.94 (define @t376 () (or @t366 @t221 @t375)) % 2.73/2.94 (define @t377 () (@list false false false)) % 2.73/2.94 (define @t378 () (@quantifiers_skolemize @t373 0)) % 2.73/2.94 (define @t379 () (tptp.sdtasdt0 @t206 @t378)) % 2.73/2.94 (define @t380 () (= @t203 @t379)) % 2.73/2.94 (define @t381 () (not @t380)) % 2.73/2.94 (define @t382 () (tptp.aNaturalNumber0 @t378)) % 2.73/2.94 (define @t383 () (not @t382)) % 2.73/2.94 (define @t384 () (or @t383 @t381)) % 2.73/2.94 (define @t385 () (@list @t384)) % 2.73/2.94 (define @t386 () (not (= @t206 @t176))) % 2.73/2.94 (define @t387 () (not (tptp.doDivides0 @t14 @t206))) % 2.73/2.94 (define @t388 () (or @t143 @t387 @t193 @t156 @t192 @t179 @t178 @t386)) % 2.73/2.94 (define @t389 () (forall @t195 @t388)) % 2.73/2.94 (define @t390 () (not @t389)) % 2.73/2.94 (define @t391 () (tptp.iLess0 @t206 @t203)) % 2.73/2.94 (define @t392 () (not @t391)) % 2.73/2.94 (define @t393 () (= tptp.sz00 @t206)) % 2.73/2.94 (define @t394 () (or @t366 @t393 @t362 @t392 @t390)) % 2.73/2.94 (define @t395 () (forall @t195 (or @t143 @t387 @t193 @t156 @t192 @t179 @t178 (not (= @t176 @t206))))) % 2.73/2.94 (define @t396 () (not @t395)) % 2.73/2.94 (define @t397 () (or @t366 @t393 @t362 @t392 @t396)) % 2.73/2.94 (define @t398 () (not @t53)) % 2.73/2.94 (define @t399 () (or @t146 @t145 @t54 @t398 @t62)) % 2.73/2.94 (define @t400 () (or @t54 @t398 @t62)) % 2.73/2.94 (define @t401 () (tptp.sdtlseqdt0 @t206 @t203)) % 2.73/2.94 (define @t402 () (not @t401)) % 2.73/2.94 (define @t403 () (or @t366 @t221 @t369 @t402 @t391)) % 2.73/2.94 (define @t404 () (forall @t9 @t399)) % 2.73/2.94 (define @t405 () (or @t366 @t221 @t361 @t402 @t391)) % 2.73/2.94 (define @t406 () (not @t68)) % 2.73/2.94 (define @t407 () (or @t406 @t163 @t53)) % 2.73/2.94 (define @t408 () (and @t68 @t247)) % 2.73/2.94 (define @t409 () (=> @t408 @t53)) % 2.73/2.94 (define @t410 () (or @t366 @t221 @t364 @t227 @t401)) % 2.73/2.94 (define @t411 () (and (= tptp.sz00 @t36) @t35)) % 2.73/2.94 (define @t412 () (@list @t378)) % 2.73/2.94 (define @t413 () (= tptp.sz00 (tptp.sdtasdt0 @t378 tptp.sz00))) % 2.73/2.94 (define @t414 () (and @t413 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t378)))) % 2.73/2.94 (define @t415 () (or @t383 @t414)) % 2.73/2.94 (define @t416 () (tptp.sdtasdt0 @t378 @t206)) % 2.73/2.94 (define @t417 () (= @t379 @t416)) % 2.73/2.94 (define @t418 () (or @t366 @t383 @t417)) % 2.73/2.94 (define @t419 () (and (= @t1 @t20) @t19)) % 2.73/2.94 (define @t420 () (tptp.sdtpldt0 @t378 tptp.sz00)) % 2.73/2.94 (define @t421 () (= @t378 @t420)) % 2.73/2.94 (define @t422 () (and @t421 (= @t378 (tptp.sdtpldt0 tptp.sz00 @t378)))) % 2.73/2.94 (define @t423 () (or @t383 @t422)) % 2.73/2.94 (define @t424 () (and @t393 @t380 @t421 @t417 @t413)) % 2.73/2.94 (define @t425 () (not @t393)) % 2.73/2.94 (define @t426 () (@quantifiers_skolemize @t395 1)) % 2.73/2.94 (define @t427 () (@quantifiers_skolemize @t395 0)) % 2.73/2.94 (define @t428 () (tptp.sdtasdt0 @t427 @t426)) % 2.73/2.94 (define @t429 () (= @t206 @t428)) % 2.73/2.94 (define @t430 () (not @t429)) % 2.73/2.94 (define @t431 () (tptp.aNaturalNumber0 @t426)) % 2.73/2.94 (define @t432 () (not @t431)) % 2.73/2.94 (define @t433 () (tptp.isPrime0 @t427)) % 2.73/2.94 (define @t434 () (not @t433)) % 2.73/2.94 (define @t435 () (not (tptp.doDivides0 @t98 @t427))) % 2.73/2.94 (define @t436 () (= tptp.sz10 @t427)) % 2.73/2.94 (define @t437 () (= tptp.sz00 @t427)) % 2.73/2.94 (define @t438 () (not (tptp.doDivides0 @t427 @t206))) % 2.73/2.94 (define @t439 () (tptp.aNaturalNumber0 @t427)) % 2.73/2.94 (define @t440 () (not @t439)) % 2.73/2.94 (define @t441 () (or @t440 @t438 @t437 @t436 (not (forall @t190 (or @t188 (and (or @t185 (not (= @t184 @t427))) @t435) @t181 (= @t98 @t427)))) @t434 @t432 @t430)) % 2.73/2.94 (define @t442 () (not @t441)) % 2.73/2.94 (define @t443 () (not (= @t428 @t206))) % 2.73/2.94 (define @t444 () (not (= @t427 @t184))) % 2.73/2.94 (define @t445 () (or @t185 @t444)) % 2.73/2.94 (define @t446 () (and @t445 @t435)) % 2.73/2.94 (define @t447 () (or @t188 @t446 @t181 (= @t427 @t98))) % 2.73/2.94 (define @t448 () (forall @t190 @t447)) % 2.73/2.94 (define @t449 () (not @t448)) % 2.73/2.94 (define @t450 () (or @t440 @t438 @t437 @t436 @t449 @t434 @t432 @t443)) % 2.73/2.94 (define @t451 () (not @t450)) % 2.73/2.94 (define @t452 () (@list @t441)) % 2.73/2.94 (define @t453 () (or @t146 @t145 @t143)) % 2.73/2.94 (define @t454 () (tptp.sdtasdt0 @t426 @t378)) % 2.73/2.94 (define @t455 () (tptp.sdtasdt0 @t427 @t454)) % 2.73/2.94 (define @t456 () (= (tptp.sdtasdt0 @t428 @t378) @t455)) % 2.73/2.94 (define @t457 () (or @t440 @t432 @t383 @t456)) % 2.73/2.94 (define @t458 () (not (= @t427 @t153))) % 2.73/2.94 (define @t459 () (not (tptp.doDivides0 @t14 @t427))) % 2.73/2.94 (define @t460 () (or @t143 @t459 @t156 (= @t427 @t14) @t155 @t458)) % 2.73/2.94 (define @t461 () (forall @t159 @t460)) % 2.73/2.94 (define @t462 () (not @t461)) % 2.73/2.94 (define @t463 () (or @t437 @t436 @t462)) % 2.73/2.94 (define @t464 () (and @t463 @t434)) % 2.73/2.94 (define @t465 () (not (tptp.doDivides0 @t427 @t203))) % 2.73/2.94 (define @t466 () (not (= @t455 @t203))) % 2.73/2.94 (define @t467 () (tptp.aNaturalNumber0 @t454)) % 2.73/2.94 (define @t468 () (not @t467)) % 2.73/2.94 (define @t469 () (or @t468 @t466)) % 2.73/2.94 (define @t470 () (and @t469 @t465)) % 2.73/2.94 (define @t471 () (or @t440 @t470 @t464)) % 2.73/2.94 (define @t472 () (and (or @t437 @t436 (not (forall @t159 (or @t143 @t459 @t156 (= @t14 @t427) @t155 (not (= @t153 @t427)))))) @t434)) % 2.73/2.94 (define @t473 () (= @t203 @t455)) % 2.73/2.94 (define @t474 () (not @t473)) % 2.73/2.94 (define @t475 () (or @t468 @t474)) % 2.73/2.94 (define @t476 () (and @t475 @t465)) % 2.73/2.94 (define @t477 () (or @t440 @t476 @t472)) % 2.73/2.94 (define @t478 () (not @t472)) % 2.73/2.94 (define @t479 () (or @t432 @t383 @t467)) % 2.73/2.94 (define @t480 () (not @t456)) % 2.73/2.94 (define @t481 () (and @t474 @t473)) % 2.73/2.94 (assume @p1 (forall @t3 (=> @t2 true))) % 2.73/2.94 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 2.73/2.94 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 2.73/2.94 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 2.73/2.94 (assume @p5 @t12) % 2.73/2.94 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t13)))) % 2.73/2.94 (assume @p7 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 2.73/2.94 (assume @p8 @t23) % 2.73/2.94 (assume @p9 @t26) % 2.73/2.94 (assume @p10 @t29) % 2.73/2.94 (assume @p11 @t34) % 2.73/2.94 (assume @p12 @t39) % 2.73/2.94 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t41)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t24 @t40)))))) % 2.73/2.94 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t6 @t44) (= @t13 @t43)) @t42)))) % 2.73/2.94 (assume @p15 (forall @t3 (=> @t2 (=> @t49 (forall (@list @t5 @t14) (=> @t47 (=> (or @t46 @t45) @t42))))))) % 2.73/2.94 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t48 @t50))))) % 2.73/2.94 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t48 @t50))))) % 2.73/2.94 (assume @p18 (forall @t9 (=> @t8 (= @t53 (exists @t52 @t51))))) % 2.73/2.94 (assume @p19 (forall @t9 (=> @t8 (=> @t53 (forall @t52 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t51)))))) % 2.73/2.94 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 2.73/2.94 (assume @p21 (forall @t9 (=> @t8 (=> (and @t53 @t55) @t54)))) % 2.73/2.94 (assume @p22 (forall @t18 (=> @t17 (=> (and @t53 @t56) (tptp.sdtlseqdt0 @t1 @t14))))) % 2.73/2.94 (assume @p23 (forall @t9 (=> @t8 (or @t53 (and (not @t57) @t55))))) % 2.73/2.94 (assume @p24 (forall @t9 (=> @t8 (=> @t60 (forall @t52 (=> @t16 (and (not (= @t43 @t58)) (tptp.sdtlseqdt0 @t43 @t58) (not (= @t44 @t15)) (tptp.sdtlseqdt0 @t44 @t15)))))))) % 2.73/2.94 (assume @p25 (forall @t18 (=> @t17 (=> (and @t49 (not @t42) @t56) (and (not @t46) (tptp.sdtlseqdt0 @t10 @t41) (not @t45) (tptp.sdtlseqdt0 @t24 @t40)))))) % 2.73/2.94 (assume @p26 (forall @t3 (=> @t2 (or @t48 @t61 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 2.73/2.94 (assume @p27 (forall @t9 (=> @t8 (=> @t49 (tptp.sdtlseqdt0 @t5 @t24))))) % 2.73/2.94 (assume @p28 (forall @t9 (=> @t8 (=> @t62 true)))) % 2.73/2.94 (assume @p29 @t64) % 2.73/2.94 (assume @p30 @t71) % 2.73/2.94 (assume @p31 (forall @t9 (=> @t8 (=> @t73 (forall @t52 (= (= @t14 @t72) @t66)))))) % 2.73/2.94 (assume @p32 (forall @t18 (=> @t17 (=> (and @t68 (tptp.doDivides0 @t5 @t14)) @t74)))) % 2.73/2.94 (assume @p33 (forall @t18 (=> @t17 (=> (and @t68 @t74) @t75)))) % 2.73/2.94 (assume @p34 (forall @t18 (=> @t17 (=> (and @t68 @t75) @t74)))) % 2.73/2.94 (assume @p35 @t80) % 2.73/2.94 (assume @p36 (forall @t9 (=> @t8 (=> @t73 (forall @t52 (=> @t16 (= (tptp.sdtasdt0 @t14 @t72) (tptp.sdtsldt0 (tptp.sdtasdt0 @t14 @t5) @t1)))))))) % 2.73/2.94 (assume @p37 @t93) % 2.73/2.94 (assume @p38 @t142) % 2.73/2.94 (assume @p39 true) % 2.73/2.94 (step @p40 :rule aci_norm :args ((= (or @t147 @t144) (or @t146 @t145 @t144)))) % 2.73/2.94 (step @p41 :rule refl :args (@t144)) % 2.73/2.94 (step @p42 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 2.73/2.94 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t148 @t144))) % 2.73/2.94 (step @p44 :rule trans :premises (@p43 @p40)) % 2.73/2.94 (step @p45 :rule bool-impl-elim :args (@t8 @t144)) % 2.73/2.94 (step @p46 :rule trans :premises (@p45 @p44)) % 2.73/2.94 (step @p47 :rule cong :premises (@p46) :args ((forall @t9 (=> @t8 @t144)))) % 2.73/2.94 (step @p48 :rule bool-and-de-morgan :args (@t16 @t65 true)) % 2.73/2.94 (step @p49 :rule cong :premises (@p48) :args (@t149)) % 2.73/2.94 (step @p50 :rule cong :premises (@p49) :args (@t150)) % 2.73/2.94 (step @p51 :rule exists-elim :args ((= @t67 @t150))) % 2.73/2.94 (step @p52 :rule trans :premises (@p51 @p50)) % 2.73/2.94 (step @p53 :rule refl :args (@t68)) % 2.73/2.94 (step @p54 :rule cong :premises (@p53 @p52) :args (@t69)) % 2.73/2.94 (step @p55 :rule refl :args (@t8)) % 2.73/2.94 (step @p56 :rule cong :premises (@p55 @p54) :args (@t70)) % 2.73/2.94 (step @p57 :rule cong :premises (@p56) :args (@t71)) % 2.73/2.94 (step @p58 :rule trans :premises (@p57 @p47)) % 2.73/2.94 (step @p59 :rule eq_resolve :premises (@p30 @p58)) % 2.73/2.94 (step @p60 :rule instantiate :premises (@p59) :args (@t207)) % 2.73/2.94 (step @p61 :rule bool-impl-elim :args (@t2 @t209)) % 2.73/2.94 (step @p62 :rule cong :premises (@p61) :args ((forall @t3 (=> @t2 @t209)))) % 2.73/2.94 (step @p63 :rule aci_norm :args ((= (or (or @t145 @t165) @t210) @t208))) % 2.73/2.94 (step @p64 :rule refl :args (@t210)) % 2.73/2.94 (step @p65 :rule bool-and-de-morgan :args (@t7 @t83 true)) % 2.73/2.94 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t84) @t210))) % 2.73/2.94 (step @p67 :rule trans :premises (@p66 @p63)) % 2.73/2.94 (step @p68 :rule bool-impl-elim :args (@t84 @t210)) % 2.73/2.94 (step @p69 :rule trans :premises (@p68 @p67)) % 2.73/2.94 (step @p70 :rule cong :premises (@p69) :args ((forall @t86 (=> @t84 @t210)))) % 2.73/2.94 (step @p71 :rule eq-symm :args (@t5 @t1)) % 2.73/2.94 (step @p72 :rule eq-symm :args (@t5 tptp.sz10)) % 2.73/2.94 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t82)) % 2.73/2.94 (step @p74 :rule refl :args (@t84)) % 2.73/2.94 (step @p75 :rule cong :premises (@p74 @p73) :args (@t85)) % 2.73/2.94 (step @p76 :rule cong :premises (@p75) :args (@t87)) % 2.73/2.94 (step @p77 :rule trans :premises (@p76 @p70)) % 2.73/2.94 (step @p78 :rule refl :args (@t88)) % 2.73/2.94 (step @p79 :rule refl :args (@t49)) % 2.73/2.94 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t89)) % 2.73/2.94 (step @p81 :rule refl :args (@t90)) % 2.73/2.94 (step @p82 :rule cong :premises (@p81 @p80) :args (@t91)) % 2.73/2.94 (step @p83 :rule refl :args (@t2)) % 2.73/2.94 (step @p84 :rule cong :premises (@p83 @p82) :args (@t92)) % 2.73/2.94 (step @p85 :rule cong :premises (@p84) :args (@t93)) % 2.73/2.94 (step @p86 :rule trans :premises (@p85 @p62)) % 2.73/2.94 (step @p87 :rule eq_resolve :premises (@p37 @p86)) % 2.73/2.94 (step @p88 :rule eq-symm :args (@t203 @t5)) % 2.73/2.94 (step @p89 :rule refl :args (@t162)) % 2.73/2.94 (step @p90 :rule refl :args (@t204)) % 2.73/2.94 (step @p91 :rule refl :args (@t145)) % 2.73/2.94 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (@t211)) % 2.73/2.94 (step @p93 :rule cong :premises (@p92) :args (@t212)) % 2.73/2.94 (step @p94 :rule eq-symm :args (@t203 tptp.sz10)) % 2.73/2.94 (step @p95 :rule cong :premises (@p94) :args (@t214)) % 2.73/2.94 (step @p96 :rule eq-symm :args (@t203 tptp.sz00)) % 2.73/2.94 (step @p97 :rule cong :premises (@p96) :args (@t216)) % 2.73/2.94 (step @p98 :rule nary_cong :premises (@p97 @p95 @p93) :args (@t217)) % 2.73/2.94 (step @p99 :rule refl :args (@t218)) % 2.73/2.94 (step @p100 :rule cong :premises (@p99 @p98) :args (@t219)) % 2.73/2.94 (step @p101 :rule refl :args (@t221)) % 2.73/2.94 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t222)) % 2.73/2.94 (step @p103 :rule refl :args (@t223)) % 2.73/2.94 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t223 @t222))) % 2.73/2.94 (assume-push @p878 @t223) % 2.73/2.94 (step @p106 :rule instantiate :premises (@p87) :args (@t224)) % 2.73/2.94 (step-pop @p879 :rule scope :premises (@p106)) % 2.73/2.94 (step @p107 :rule process_scope :premises (@p879) :args (@t222)) % 2.73/2.94 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 2.73/2.94 (step @p110 :rule implies_elim :premises (@p109)) % 2.73/2.94 (step @p111 :rule chain_m_resolution :premises (@p110 @p87) :args (@t231 @t232 (@list @t223))) % 2.73/2.94 (step @p112 :rule aci_norm :args ((= (or (or @t146 @t48 @t61) (or @t200 @t174)) @t201))) % 2.73/2.94 (step @p113 :rule bool-impl-elim :args (@t199 @t174)) % 2.73/2.94 (step @p114 :rule bool-double-not-elim :args (@t61)) % 2.73/2.94 (step @p115 :rule bool-double-not-elim :args (@t48)) % 2.73/2.94 (step @p116 :rule refl :args (@t146)) % 2.73/2.94 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t235)) % 2.73/2.94 (step @p118 :rule aci_norm :args ((= (or @t146 (or @t234 @t233)) @t235))) % 2.73/2.94 (step @p119 :rule trans :premises (@p118 @p117)) % 2.73/2.94 (step @p120 :rule bool-and-de-morgan :args (@t49 @t88 true)) % 2.73/2.94 (step @p121 :rule nary_cong :premises (@p116 @p120) :args ((or @t146 (not (and @t49 @t88))))) % 2.73/2.94 (step @p122 :rule bool-and-de-morgan :args (@t2 @t49 (and @t88))) % 2.73/2.94 (step @p123 :rule trans :premises (@p122 @p121)) % 2.73/2.94 (step @p124 :rule trans :premises (@p123 @p119)) % 2.73/2.94 (step @p125 :rule nary_cong :premises (@p124 @p113) :args ((or (not @t139) @t236))) % 2.73/2.94 (step @p126 :rule trans :premises (@p125 @p112)) % 2.73/2.94 (step @p127 :rule bool-impl-elim :args (@t139 @t236)) % 2.73/2.94 (step @p128 :rule trans :premises (@p127 @p126)) % 2.73/2.94 (step @p129 :rule cong :premises (@p128) :args ((forall @t3 (=> @t139 @t236)))) % 2.73/2.94 (step @p130 :rule quant-merge-prenex :args ((= (forall @t86 @t238) @t173))) % 2.73/2.94 (step @p131 :rule refl :args (@t164)) % 2.73/2.94 (step @p132 :rule quant-unused-vars :args ((= @t239 @t165))) % 2.73/2.94 (step @p133 :rule alpha_equiv :args (@t240 (@list @t166) (@list @t14))) % 2.73/2.94 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t241)) % 2.73/2.94 (step @p135 :rule quant-miniscope-and :args ((= @t242 @t241))) % 2.73/2.94 (step @p136 :rule trans :premises (@p135 @p134)) % 2.73/2.94 (step @p137 :rule refl :args (@t145)) % 2.73/2.94 (step @p138 :rule nary_cong :premises (@p137 @p136 @p131) :args (@t243)) % 2.73/2.94 (step @p139 :rule quant-miniscope-or :args ((= @t238 @t243))) % 2.73/2.94 (step @p140 :rule trans :premises (@p139 @p138)) % 2.73/2.94 (step @p141 :rule symm :premises (@p140)) % 2.73/2.94 (step @p142 :rule cong :premises (@p141) :args ((forall @t86 (or @t145 (and @t244 @t165) @t164)))) % 2.73/2.94 (step @p143 :rule trans :premises (@p142 @p130)) % 2.73/2.94 (step @p144 :rule refl :args (@t151)) % 2.73/2.94 (step @p145 :rule refl :args (@t161)) % 2.73/2.94 (step @p146 :rule bool-double-not-elim :args (@t162)) % 2.73/2.94 (step @p147 :rule bool-double-not-elim :args (@t163)) % 2.73/2.94 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t249)) % 2.73/2.94 (step @p149 :rule aci_norm :args ((= (or @t248 (or @t246 @t161)) @t249))) % 2.73/2.94 (step @p150 :rule trans :premises (@p149 @p148)) % 2.73/2.94 (step @p151 :rule bool-and-de-morgan :args (@t245 @t160 true)) % 2.73/2.94 (step @p152 :rule refl :args (@t248)) % 2.73/2.94 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t248 (not (and @t245 @t160))))) % 2.73/2.94 (step @p154 :rule bool-and-de-morgan :args (@t247 @t245 (and @t160))) % 2.73/2.94 (step @p155 :rule trans :premises (@p154 @p153)) % 2.73/2.94 (step @p156 :rule trans :premises (@p155 @p150)) % 2.73/2.94 (step @p157 :rule nary_cong :premises (@p156 @p144) :args ((and (not @t250) @t151))) % 2.73/2.94 (step @p158 :rule bool-or-de-morgan :args (@t250 @t94 false)) % 2.73/2.94 (step @p159 :rule trans :premises (@p158 @p157)) % 2.73/2.94 (step @p160 :rule refl :args (@t165)) % 2.73/2.94 (step @p161 :rule bool-double-not-elim :args (@t244)) % 2.73/2.94 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((and (not @t251) @t165))) % 2.73/2.94 (step @p163 :rule bool-or-de-morgan :args (@t251 @t83 false)) % 2.73/2.94 (step @p164 :rule trans :premises (@p163 @p162)) % 2.73/2.94 (step @p165 :rule nary_cong :premises (@p137 @p164 @p159) :args (@t256)) % 2.73/2.94 (step @p166 :rule aci_norm :args ((= (or @t145 (or @t255 @t253)) @t256))) % 2.73/2.94 (step @p167 :rule bool-and-de-morgan :args (@t254 @t252 true)) % 2.73/2.94 (step @p168 :rule nary_cong :premises (@p137 @p167) :args ((or @t145 (not (and @t254 @t252))))) % 2.73/2.94 (step @p169 :rule bool-and-de-morgan :args (@t7 @t254 (and @t252))) % 2.73/2.94 (step @p170 :rule trans :premises (@p169 @p168)) % 2.73/2.94 (step @p171 :rule trans :premises (@p170 @p166)) % 2.73/2.94 (step @p172 :rule trans :premises (@p171 @p165)) % 2.73/2.94 (step @p173 :rule cong :premises (@p172) :args (@t258)) % 2.73/2.94 (step @p174 :rule trans :premises (@p173 @p143)) % 2.73/2.94 (step @p175 :rule cong :premises (@p174) :args (@t259)) % 2.73/2.94 (step @p176 :rule exists-elim :args ((= (exists @t86 @t257) @t259))) % 2.73/2.94 (step @p177 :rule trans :premises (@p176 @p175)) % 2.73/2.94 (step @p178 :rule refl :args (@t94)) % 2.73/2.94 (step @p179 :rule aci_norm :args ((= @t261 @t158))) % 2.73/2.94 (step @p180 :rule cong :premises (@p179) :args (@t262)) % 2.73/2.94 (step @p181 :rule quant-merge-prenex :args ((= (forall @t52 @t264) @t262))) % 2.73/2.94 (step @p182 :rule refl :args (@t42)) % 2.73/2.94 (step @p183 :rule refl :args (@t156)) % 2.73/2.94 (step @p184 :rule refl :args (@t157)) % 2.73/2.94 (step @p185 :rule alpha_equiv :args (@t265 (@list @t152) @t266)) % 2.73/2.94 (step @p186 :rule refl :args (@t143)) % 2.73/2.94 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183 @p182) :args (@t267)) % 2.73/2.94 (step @p188 :rule quant-miniscope-or :args ((= @t264 @t267))) % 2.73/2.94 (step @p189 :rule trans :premises (@p188 @p187)) % 2.73/2.94 (step @p190 :rule symm :premises (@p189)) % 2.73/2.94 (step @p191 :rule cong :premises (@p190) :args ((forall @t52 @t269))) % 2.73/2.94 (step @p192 :rule trans :premises (@p191 @p181)) % 2.73/2.94 (step @p193 :rule trans :premises (@p192 @p180)) % 2.73/2.94 (step @p194 :rule aci_norm :args ((= (or (or @t143 @t268 @t157) @t270) @t269))) % 2.73/2.94 (step @p195 :rule refl :args (@t270)) % 2.73/2.94 (step @p196 :rule bool-double-not-elim :args (@t268)) % 2.73/2.94 (step @p197 :rule nary_cong :premises (@p186 @p196 @p184) :args (@t273)) % 2.73/2.94 (step @p198 :rule aci_norm :args ((= (or @t143 (or @t272 @t157)) @t273))) % 2.73/2.94 (step @p199 :rule trans :premises (@p198 @p197)) % 2.73/2.94 (step @p200 :rule bool-and-de-morgan :args (@t271 @t97 true)) % 2.73/2.94 (step @p201 :rule nary_cong :premises (@p186 @p200) :args ((or @t143 (not (and @t271 @t97))))) % 2.73/2.94 (step @p202 :rule bool-and-de-morgan :args (@t16 @t271 (and @t97))) % 2.73/2.94 (step @p203 :rule trans :premises (@p202 @p201)) % 2.73/2.94 (step @p204 :rule trans :premises (@p203 @p199)) % 2.73/2.94 (step @p205 :rule nary_cong :premises (@p204 @p195) :args ((or (not @t274) @t270))) % 2.73/2.94 (step @p206 :rule trans :premises (@p205 @p194)) % 2.73/2.94 (step @p207 :rule bool-impl-elim :args (@t274 @t270)) % 2.73/2.94 (step @p208 :rule trans :premises (@p207 @p206)) % 2.73/2.94 (step @p209 :rule cong :premises (@p208) :args ((forall @t52 (=> @t274 @t270)))) % 2.73/2.94 (step @p210 :rule trans :premises (@p209 @p193)) % 2.73/2.94 (step @p211 :rule eq-symm :args (@t14 @t5)) % 2.73/2.94 (step @p212 :rule eq-symm :args (@t14 tptp.sz10)) % 2.73/2.94 (step @p213 :rule nary_cong :premises (@p212 @p211) :args (@t96)) % 2.73/2.94 (step @p214 :rule refl :args (@t97)) % 2.73/2.94 (step @p215 :rule bool-and-de-morgan :args (@t100 @t99 true)) % 2.73/2.94 (step @p216 :rule cong :premises (@p215) :args (@t275)) % 2.73/2.94 (step @p217 :rule cong :premises (@p216) :args (@t276)) % 2.73/2.94 (step @p218 :rule exists-elim :args ((= @t103 @t276))) % 2.73/2.94 (step @p219 :rule trans :premises (@p218 @p217)) % 2.73/2.94 (step @p220 :rule refl :args (@t16)) % 2.73/2.94 (step @p221 :rule nary_cong :premises (@p220 @p219 @p214) :args (@t104)) % 2.73/2.94 (step @p222 :rule cong :premises (@p221 @p213) :args (@t105)) % 2.73/2.94 (step @p223 :rule cong :premises (@p222) :args (@t106)) % 2.73/2.94 (step @p224 :rule trans :premises (@p223 @p210)) % 2.73/2.94 (step @p225 :rule cong :premises (@p72) :args (@t107)) % 2.73/2.94 (step @p226 :rule eq-symm :args (@t5 tptp.sz00)) % 2.73/2.94 (step @p227 :rule cong :premises (@p226) :args (@t76)) % 2.73/2.94 (step @p228 :rule nary_cong :premises (@p227 @p225 @p224) :args (@t108)) % 2.73/2.94 (step @p229 :rule nary_cong :premises (@p228 @p178) :args (@t109)) % 2.73/2.94 (step @p230 :rule refl :args (@t83)) % 2.73/2.94 (step @p231 :rule bool-and-de-morgan :args (@t16 @t110 true)) % 2.73/2.94 (step @p232 :rule cong :premises (@p231) :args (@t277)) % 2.73/2.94 (step @p233 :rule cong :premises (@p232) :args (@t278)) % 2.73/2.94 (step @p234 :rule exists-elim :args ((= @t112 @t278))) % 2.73/2.94 (step @p235 :rule trans :premises (@p234 @p233)) % 2.73/2.94 (step @p236 :rule nary_cong :premises (@p235 @p230) :args (@t113)) % 2.73/2.94 (step @p237 :rule refl :args (@t7)) % 2.73/2.94 (step @p238 :rule nary_cong :premises (@p237 @p236 @p229) :args (@t114)) % 2.73/2.94 (step @p239 :rule cong :premises (@p238) :args (@t115)) % 2.73/2.94 (step @p240 :rule trans :premises (@p239 @p177)) % 2.73/2.94 (step @p241 :rule aci_norm :args ((= (or (or @t145 @t163 @t162) (or @t197 @t196)) @t198))) % 2.73/2.94 (step @p242 :rule bool-impl-elim :args (@t133 @t196)) % 2.73/2.94 (step @p243 :rule nary_cong :premises (@p137 @p147 @p146) :args (@t279)) % 2.73/2.94 (step @p244 :rule aci_norm :args ((= (or @t145 (or @t248 @t246)) @t279))) % 2.73/2.94 (step @p245 :rule trans :premises (@p244 @p243)) % 2.73/2.94 (step @p246 :rule bool-and-de-morgan :args (@t247 @t245 true)) % 2.73/2.94 (step @p247 :rule nary_cong :premises (@p137 @p246) :args ((or @t145 (not (and @t247 @t245))))) % 2.73/2.94 (step @p248 :rule bool-and-de-morgan :args (@t7 @t247 (and @t245))) % 2.73/2.94 (step @p249 :rule trans :premises (@p248 @p247)) % 2.73/2.94 (step @p250 :rule trans :premises (@p249 @p245)) % 2.73/2.94 (step @p251 :rule nary_cong :premises (@p250 @p242) :args ((or (not @t281) @t280))) % 2.73/2.94 (step @p252 :rule trans :premises (@p251 @p241)) % 2.73/2.94 (step @p253 :rule bool-impl-elim :args (@t281 @t280)) % 2.73/2.94 (step @p254 :rule trans :premises (@p253 @p252)) % 2.73/2.94 (step @p255 :rule cong :premises (@p254) :args ((forall @t86 (=> @t281 @t280)))) % 2.73/2.94 (step @p256 :rule aci_norm :args ((= @t283 @t194))) % 2.73/2.94 (step @p257 :rule cong :premises (@p256) :args (@t284)) % 2.73/2.94 (step @p258 :rule quant-merge-prenex :args ((= (forall @t52 @t286) @t284))) % 2.73/2.94 (step @p259 :rule refl :args (@t179)) % 2.73/2.94 (step @p260 :rule refl :args (@t192)) % 2.73/2.94 (step @p261 :rule refl :args (@t193)) % 2.73/2.94 (step @p262 :rule alpha_equiv :args (@t287 (@list @t175) @t266)) % 2.73/2.94 (step @p263 :rule nary_cong :premises (@p186 @p262 @p184 @p261 @p183 @p260 @p259) :args (@t288)) % 2.73/2.94 (step @p264 :rule quant-miniscope-or :args ((= @t286 @t288))) % 2.73/2.94 (step @p265 :rule trans :premises (@p264 @p263)) % 2.73/2.94 (step @p266 :rule symm :premises (@p265)) % 2.73/2.94 (step @p267 :rule cong :premises (@p266) :args ((forall @t52 (or @t143 @t268 @t157 @t193 @t156 @t192 @t179)))) % 2.73/2.94 (step @p268 :rule trans :premises (@p267 @p258)) % 2.73/2.94 (step @p269 :rule trans :premises (@p268 @p257)) % 2.73/2.94 (step @p270 :rule bool-double-not-elim :args (@t156)) % 2.73/2.94 (step @p271 :rule bool-double-not-elim :args (@t193)) % 2.73/2.94 (step @p272 :rule nary_cong :premises (@p186 @p196 @p184 @p271 @p270 @p260 @p259) :args (@t293)) % 2.73/2.94 (step @p273 :rule aci_norm :args ((= (or @t143 (or @t272 (or @t157 (or @t292 (or @t290 (or @t192 @t179)))))) @t293))) % 2.73/2.94 (step @p274 :rule trans :premises (@p273 @p272)) % 2.73/2.94 (step @p275 :rule bool-and-de-morgan :args (@t191 @t116 true)) % 2.73/2.94 (step @p276 :rule refl :args (@t290)) % 2.73/2.94 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or @t290 (not (and @t191 @t116))))) % 2.73/2.94 (step @p278 :rule bool-and-de-morgan :args (@t289 @t191 (and @t116))) % 2.73/2.94 (step @p279 :rule trans :premises (@p278 @p277)) % 2.73/2.94 (step @p280 :rule refl :args (@t292)) % 2.73/2.94 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t292 (not (and @t289 @t191 @t116))))) % 2.73/2.94 (step @p282 :rule bool-and-de-morgan :args (@t291 @t289 (and @t191 @t116))) % 2.73/2.94 (step @p283 :rule trans :premises (@p282 @p281)) % 2.73/2.94 (step @p284 :rule nary_cong :premises (@p184 @p283) :args ((or @t157 (not (and @t291 @t289 @t191 @t116))))) % 2.73/2.94 (step @p285 :rule bool-and-de-morgan :args (@t97 @t291 (and @t289 @t191 @t116))) % 2.73/2.94 (step @p286 :rule trans :premises (@p285 @p284)) % 2.73/2.94 (step @p287 :rule refl :args (@t272)) % 2.73/2.94 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t272 (not (and @t97 @t291 @t289 @t191 @t116))))) % 2.73/2.94 (step @p289 :rule bool-and-de-morgan :args (@t271 @t97 (and @t291 @t289 @t191 @t116))) % 2.73/2.94 (step @p290 :rule trans :premises (@p289 @p288)) % 2.73/2.94 (step @p291 :rule nary_cong :premises (@p186 @p290) :args ((or @t143 (not (and @t271 @t97 @t291 @t289 @t191 @t116))))) % 2.73/2.94 (step @p292 :rule bool-and-de-morgan :args (@t16 @t271 (and @t97 @t291 @t289 @t191 @t116))) % 2.73/2.94 (step @p293 :rule trans :premises (@p292 @p291)) % 2.73/2.94 (step @p294 :rule trans :premises (@p293 @p274)) % 2.73/2.94 (step @p295 :rule cong :premises (@p294) :args (@t295)) % 2.73/2.94 (step @p296 :rule trans :premises (@p295 @p269)) % 2.73/2.94 (step @p297 :rule cong :premises (@p296) :args (@t296)) % 2.73/2.94 (step @p298 :rule exists-elim :args ((= (exists @t52 @t294) @t296))) % 2.73/2.94 (step @p299 :rule trans :premises (@p298 @p297)) % 2.73/2.94 (step @p300 :rule refl :args (@t116)) % 2.73/2.94 (step @p301 :rule quant-merge-prenex :args ((= (forall @t102 @t298) @t191))) % 2.73/2.94 (step @p302 :rule refl :args (@t180)) % 2.73/2.94 (step @p303 :rule refl :args (@t181)) % 2.73/2.94 (step @p304 :rule quant-unused-vars :args ((= @t299 @t182))) % 2.73/2.94 (step @p305 :rule alpha_equiv :args (@t300 (@list @t183) (@list @t119))) % 2.73/2.94 (step @p306 :rule nary_cong :premises (@p305 @p304) :args (@t301)) % 2.73/2.94 (step @p307 :rule quant-miniscope-and :args ((= @t302 @t301))) % 2.73/2.94 (step @p308 :rule trans :premises (@p307 @p306)) % 2.73/2.94 (step @p309 :rule refl :args (@t188)) % 2.73/2.94 (step @p310 :rule nary_cong :premises (@p309 @p308 @p303 @p302) :args (@t303)) % 2.73/2.94 (step @p311 :rule quant-miniscope-or :args ((= @t298 @t303))) % 2.73/2.94 (step @p312 :rule trans :premises (@p311 @p310)) % 2.73/2.94 (step @p313 :rule symm :premises (@p312)) % 2.73/2.94 (step @p314 :rule cong :premises (@p313) :args ((forall @t102 @t306))) % 2.73/2.94 (step @p315 :rule trans :premises (@p314 @p301)) % 2.73/2.94 (step @p316 :rule aci_norm :args ((= (or (or @t188 @t305) @t307) @t306))) % 2.73/2.94 (step @p317 :rule refl :args (@t307)) % 2.73/2.94 (step @p318 :rule refl :args (@t182)) % 2.73/2.94 (step @p319 :rule bool-double-not-elim :args (@t304)) % 2.73/2.94 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((and (not @t308) @t182))) % 2.73/2.94 (step @p321 :rule bool-or-de-morgan :args (@t308 @t118 false)) % 2.73/2.94 (step @p322 :rule trans :premises (@p321 @p320)) % 2.73/2.94 (step @p323 :rule nary_cong :premises (@p309 @p322) :args ((or @t188 (not @t309)))) % 2.73/2.94 (step @p324 :rule bool-and-de-morgan :args (@t100 @t309 true)) % 2.73/2.94 (step @p325 :rule trans :premises (@p324 @p323)) % 2.73/2.94 (step @p326 :rule nary_cong :premises (@p325 @p317) :args ((or (not @t310) @t307))) % 2.73/2.94 (step @p327 :rule trans :premises (@p326 @p316)) % 2.73/2.94 (step @p328 :rule bool-impl-elim :args (@t310 @t307)) % 2.73/2.94 (step @p329 :rule trans :premises (@p328 @p327)) % 2.73/2.94 (step @p330 :rule cong :premises (@p329) :args ((forall @t102 (=> @t310 @t307)))) % 2.73/2.94 (step @p331 :rule trans :premises (@p330 @p315)) % 2.73/2.94 (step @p332 :rule eq-symm :args (@t98 @t14)) % 2.73/2.94 (step @p333 :rule eq-symm :args (@t98 tptp.sz10)) % 2.73/2.94 (step @p334 :rule nary_cong :premises (@p333 @p332) :args (@t117)) % 2.73/2.94 (step @p335 :rule refl :args (@t118)) % 2.73/2.94 (step @p336 :rule bool-and-de-morgan :args (@t121 @t120 true)) % 2.73/2.94 (step @p337 :rule cong :premises (@p336) :args (@t311)) % 2.73/2.94 (step @p338 :rule cong :premises (@p337) :args (@t312)) % 2.73/2.94 (step @p339 :rule exists-elim :args ((= @t124 @t312))) % 2.73/2.94 (step @p340 :rule trans :premises (@p339 @p338)) % 2.73/2.94 (step @p341 :rule nary_cong :premises (@p340 @p335) :args (@t125)) % 2.73/2.94 (step @p342 :rule refl :args (@t100)) % 2.73/2.94 (step @p343 :rule nary_cong :premises (@p342 @p341) :args (@t126)) % 2.73/2.94 (step @p344 :rule cong :premises (@p343 @p334) :args (@t127)) % 2.73/2.94 (step @p345 :rule cong :premises (@p344) :args (@t128)) % 2.73/2.94 (step @p346 :rule trans :premises (@p345 @p331)) % 2.73/2.94 (step @p347 :rule cong :premises (@p212) :args (@t129)) % 2.73/2.94 (step @p348 :rule eq-symm :args (@t14 tptp.sz00)) % 2.73/2.94 (step @p349 :rule cong :premises (@p348) :args (@t130)) % 2.73/2.94 (step @p350 :rule nary_cong :premises (@p220 @p219 @p214 @p349 @p347 @p346 @p300) :args (@t131)) % 2.73/2.94 (step @p351 :rule cong :premises (@p350) :args (@t132)) % 2.73/2.94 (step @p352 :rule trans :premises (@p351 @p299)) % 2.73/2.94 (step @p353 :rule refl :args (@t133)) % 2.73/2.94 (step @p354 :rule cong :premises (@p353 @p352) :args (@t134)) % 2.73/2.94 (step @p355 :rule nary_cong :premises (@p237 @p227 @p225) :args (@t135)) % 2.73/2.94 (step @p356 :rule cong :premises (@p355 @p354) :args (@t136)) % 2.73/2.94 (step @p357 :rule cong :premises (@p356) :args (@t137)) % 2.73/2.94 (step @p358 :rule trans :premises (@p357 @p255)) % 2.73/2.94 (step @p359 :rule cong :premises (@p358 @p240) :args (@t138)) % 2.73/2.94 (step @p360 :rule refl :args (@t139)) % 2.73/2.94 (step @p361 :rule cong :premises (@p360 @p359) :args (@t140)) % 2.73/2.94 (step @p362 :rule cong :premises (@p361) :args (@t141)) % 2.73/2.94 (step @p363 :rule trans :premises (@p362 @p129)) % 2.73/2.94 (step @p364 :rule cong :premises (@p363) :args (@t142)) % 2.73/2.94 (step @p365 :rule eq_resolve :premises (@p38 @p364)) % 2.73/2.94 (step @p366 :rule refl :args (@t318)) % 2.73/2.94 (step @p367 :rule bool-double-not-elim :args (@t202)) % 2.73/2.94 (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or (not @t319) @t318))) % 2.73/2.94 (step @p369 :rule refl :args (@t164)) % 2.73/2.94 (step @p370 :rule eq-symm :args (@t203 @t167)) % 2.73/2.94 (step @p371 :rule cong :premises (@p370) :args (@t320)) % 2.73/2.94 (step @p372 :rule refl :args (@t168)) % 2.73/2.94 (step @p373 :rule nary_cong :premises (@p372 @p371) :args (@t321)) % 2.73/2.94 (step @p374 :rule nary_cong :premises (@p373 @p90) :args (@t322)) % 2.73/2.94 (step @p375 :rule nary_cong :premises (@p91 @p374 @p369) :args (@t323)) % 2.73/2.94 (step @p376 :rule cong :premises (@p375) :args (@t324)) % 2.73/2.94 (step @p377 :rule cong :premises (@p376) :args (@t325)) % 2.73/2.94 (step @p378 :rule refl :args (@t316)) % 2.73/2.94 (step @p379 :rule nary_cong :premises (@p101 @p96 @p94 @p378 @p377) :args (@t326)) % 2.73/2.94 (step @p380 :rule cong :premises (@p379) :args (@t327)) % 2.73/2.94 (step @p381 :rule refl :args (@t319)) % 2.73/2.94 (step @p382 :rule cong :premises (@p381 @p380) :args ((=> @t319 @t327))) % 2.73/2.94 (assume-push @p880 @t319) % 2.73/2.94 (step @p384 :rule skolemize :premises (@p365)) % 2.73/2.94 (step-pop @p881 :rule scope :premises (@p384)) % 2.73/2.94 (step @p385 :rule process_scope :premises (@p881) :args (@t327)) % 2.73/2.94 (step @p387 :rule eq_resolve :premises (@p385 @p382)) % 2.73/2.94 (step @p388 :rule implies_elim :premises (@p387)) % 2.73/2.94 (step @p389 :rule eq_resolve :premises (@p388 @p368)) % 2.73/2.94 (step @p390 :rule chain_m_resolution :premises (@p389 @p365) :args (@t318 @t328 (@list @t202))) % 2.73/2.94 (step @p391 :rule bool-double-not-elim :args (@t220)) % 2.73/2.94 (step @p392 :rule refl :args (@t317)) % 2.73/2.94 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t317 (not @t221)))) % 2.73/2.94 (step @p394 :rule cnf_or_neg :args (@t317 0)) % 2.73/2.94 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 2.73/2.94 (step @p396 :rule reordering :premises (@p395) :args ((or @t220 @t317))) % 2.73/2.94 (step @p397 :rule chain_m_resolution :premises (@p396 @p390) :args (@t220 @t328 @t329)) % 2.73/2.94 (step @p398 :rule cnf_or_pos :args (@t231)) % 2.73/2.94 (step @p399 :rule reordering :premises (@p398) :args ((or @t221 @t230 (not @t231)))) % 2.73/2.94 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p111) :args (@t230 @t330 (@list @t220 @t231))) % 2.73/2.94 (step @p401 :rule bool-double-not-elim :args (@t313)) % 2.73/2.94 (step @p402 :rule nary_cong :premises (@p392 @p401) :args ((or @t317 (not @t314)))) % 2.73/2.94 (step @p403 :rule cnf_or_neg :args (@t317 4)) % 2.73/2.94 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 2.73/2.94 (step @p405 :rule reordering :premises (@p404) :args ((or @t313 @t317))) % 2.73/2.94 (step @p406 :rule chain_m_resolution :premises (@p405 @p390) :args (@t313 @t328 @t329)) % 2.73/2.94 (step @p407 :rule refl :args (@t331)) % 2.73/2.94 (step @p408 :rule eq-symm :args (@t203 @t153)) % 2.73/2.94 (step @p409 :rule cong :premises (@p408) :args (@t332)) % 2.73/2.94 (step @p410 :rule refl :args (@t155)) % 2.73/2.94 (step @p411 :rule eq-symm :args (@t203 @t14)) % 2.73/2.94 (step @p412 :rule refl :args (@t156)) % 2.73/2.94 (step @p413 :rule refl :args (@t333)) % 2.73/2.94 (step @p414 :rule refl :args (@t143)) % 2.73/2.94 (step @p415 :rule nary_cong :premises (@p414 @p413 @p412 @p411 @p410 @p409) :args (@t334)) % 2.73/2.94 (step @p416 :rule cong :premises (@p415) :args (@t335)) % 2.73/2.94 (step @p417 :rule cong :premises (@p416) :args (@t336)) % 2.73/2.94 (step @p418 :rule refl :args (@t225)) % 2.73/2.94 (step @p419 :rule refl :args (@t227)) % 2.73/2.94 (step @p420 :rule nary_cong :premises (@p419 @p418 @p417) :args (@t337)) % 2.73/2.94 (step @p421 :rule nary_cong :premises (@p420 @p407) :args (@t338)) % 2.73/2.94 (step @p422 :rule refl :args (@t339)) % 2.73/2.94 (step @p423 :rule eq-symm :args (@t340 @t203)) % 2.73/2.94 (step @p424 :rule cong :premises (@p423) :args (@t341)) % 2.73/2.94 (step @p425 :rule refl :args (@t342)) % 2.73/2.94 (step @p426 :rule nary_cong :premises (@p425 @p424) :args (@t343)) % 2.73/2.94 (step @p427 :rule nary_cong :premises (@p426 @p422) :args (@t344)) % 2.73/2.94 (step @p428 :rule nary_cong :premises (@p101 @p427 @p421) :args (@t345)) % 2.73/2.94 (step @p429 :rule refl :args (@t313)) % 2.73/2.94 (step @p430 :rule cong :premises (@p429 @p428) :args ((=> @t313 @t345))) % 2.73/2.94 (assume-push @p882 @t313) % 2.73/2.94 (step @p432 :rule instantiate :premises (@p406) :args ((@list @t203 tptp.sz10))) % 2.73/2.94 (step-pop @p883 :rule scope :premises (@p432)) % 2.73/2.94 (step @p433 :rule process_scope :premises (@p883) :args (@t345)) % 2.73/2.94 (step @p435 :rule eq_resolve :premises (@p433 @p430)) % 2.73/2.94 (step @p436 :rule implies_elim :premises (@p435)) % 2.73/2.94 (step @p437 :rule chain_m_resolution :premises (@p436 @p406) :args (@t351 @t232 @t352)) % 2.73/2.94 (step @p438 :rule bool-impl-elim :args (@t2 @t353)) % 2.73/2.94 (step @p439 :rule cong :premises (@p438) :args ((forall @t3 (=> @t2 @t353)))) % 2.73/2.94 (step @p440 :rule refl :args (@t30)) % 2.73/2.94 (step @p441 :rule eq-symm :args (@t31 @t1)) % 2.73/2.94 (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t32)) % 2.73/2.94 (step @p443 :rule cong :premises (@p83 @p442) :args (@t33)) % 2.73/2.94 (step @p444 :rule cong :premises (@p443) :args (@t34)) % 2.73/2.94 (step @p445 :rule trans :premises (@p444 @p439)) % 2.73/2.94 (step @p446 :rule eq_resolve :premises (@p11 @p445)) % 2.73/2.94 (step @p447 :rule instantiate :premises (@p446) :args (@t224)) % 2.73/2.94 (step @p448 :rule cnf_or_pos :args (@t355)) % 2.73/2.94 (step @p449 :rule reordering :premises (@p448) :args ((or @t221 @t354 (not @t355)))) % 2.73/2.94 (step @p450 :rule chain_m_resolution :premises (@p449 @p397 @p447) :args (@t354 @t330 (@list @t220 @t355))) % 2.73/2.94 (step @p451 :rule cnf_and_pos :args (@t354 0)) % 2.73/2.94 (step @p452 :rule reordering :premises (@p451) :args ((or @t347 (not @t354)))) % 2.73/2.94 (step @p453 :rule chain_m_resolution :premises (@p452 @p450) :args (@t347 @t232 (@list @t354))) % 2.73/2.94 (step @p454 :rule and_elim :premises (@p3) :args (0)) % 2.73/2.94 (step @p455 :rule cnf_or_pos :args (@t349)) % 2.73/2.94 (step @p456 :rule reordering :premises (@p455) :args ((or @t342 @t348 @t356))) % 2.73/2.94 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p453) :args (@t356 @t330 (@list @t4 @t347))) % 2.73/2.94 (step @p458 :rule cnf_and_pos :args (@t350 0)) % 2.73/2.94 (step @p459 :rule reordering :premises (@p458) :args ((or @t349 @t357))) % 2.73/2.94 (step @p460 :rule chain_m_resolution :premises (@p459 @p457) :args (@t357 @t328 (@list @t349))) % 2.73/2.94 (step @p461 :rule cnf_or_pos :args (@t351)) % 2.73/2.94 (step @p462 :rule reordering :premises (@p461) :args ((or @t221 @t350 @t346 (not @t351)))) % 2.73/2.94 (step @p463 :rule chain_m_resolution :premises (@p462 @p397 @p460 @p437) :args (@t346 @t358 (@list @t220 @t350 @t351))) % 2.73/2.94 (step @p464 :rule cnf_and_pos :args (@t346 1)) % 2.73/2.94 (step @p465 :rule reordering :premises (@p464) :args ((or @t331 (not @t346)))) % 2.73/2.94 (step @p466 :rule chain_m_resolution :premises (@p465 @p463) :args (@t331 @t232 (@list @t346))) % 2.73/2.94 (step @p467 :rule cnf_equiv_pos2 :args (@t230)) % 2.73/2.94 (step @p468 :rule reordering :premises (@p467) :args ((or @t218 @t359 (not @t230)))) % 2.73/2.94 (step @p469 :rule chain_m_resolution :premises (@p468 @p466 @p400) :args (@t359 (@list true false) (@list @t218 @t230))) % 2.73/2.94 (step @p470 :rule cnf_or_neg :args (@t317 2)) % 2.73/2.94 (step @p471 :rule chain_m_resolution :premises (@p470 @p390) :args (@t226 @t328 @t329)) % 2.73/2.94 (step @p472 :rule cnf_or_neg :args (@t317 1)) % 2.73/2.94 (step @p473 :rule chain_m_resolution :premises (@p472 @p390) :args (@t228 @t328 @t329)) % 2.73/2.94 (step @p474 :rule refl :args (@t360)) % 2.73/2.94 (step @p475 :rule bool-double-not-elim :args (@t225)) % 2.73/2.94 (step @p476 :rule bool-double-not-elim :args (@t227)) % 2.73/2.94 (step @p477 :rule refl :args (@t229)) % 2.73/2.94 (step @p478 :rule nary_cong :premises (@p477 @p476 @p475 @p474) :args ((or @t229 (not @t228) (not @t226) @t360))) % 2.73/2.94 (step @p479 :rule cnf_and_neg :args (@t229)) % 2.73/2.94 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 2.73/2.94 (step @p481 :rule reordering :premises (@p480) :args ((or @t227 @t225 @t229 @t360))) % 2.73/2.94 (step @p482 :rule chain_m_resolution :premises (@p481 @p473 @p471 @p469) :args (@t360 (@list true true true) (@list @t227 @t225 @t229))) % 2.73/2.94 (step @p483 :rule refl :args (@t368)) % 2.73/2.94 (step @p484 :rule bool-double-not-elim :args (@t205)) % 2.73/2.94 (step @p485 :rule nary_cong :premises (@p484 @p483) :args ((or (not @t360) @t368))) % 2.73/2.94 (step @p486 :rule eq-symm :args (@t206 @t203)) % 2.73/2.94 (step @p487 :rule refl :args (@t362)) % 2.73/2.94 (step @p488 :rule refl :args (@t364)) % 2.73/2.94 (step @p489 :rule refl :args (@t366)) % 2.73/2.94 (step @p490 :rule nary_cong :premises (@p489 @p488 @p487 @p486) :args (@t370)) % 2.73/2.94 (step @p491 :rule cong :premises (@p490) :args (@t371)) % 2.73/2.94 (step @p492 :rule cong :premises (@p474 @p491) :args ((=> @t360 @t371))) % 2.73/2.94 (assume-push @p884 @t360) % 2.73/2.94 (step @p494 :rule skolemize :premises (@p482)) % 2.73/2.94 (step-pop @p885 :rule scope :premises (@p494)) % 2.73/2.94 (step @p495 :rule process_scope :premises (@p885) :args (@t371)) % 2.73/2.94 (step @p497 :rule eq_resolve :premises (@p495 @p492)) % 2.73/2.94 (step @p498 :rule implies_elim :premises (@p497)) % 2.73/2.94 (step @p499 :rule eq_resolve :premises (@p498 @p485)) % 2.73/2.94 (step @p500 :rule chain_m_resolution :premises (@p499 @p482) :args (@t368 @t328 (@list @t205))) % 2.73/2.94 (step @p501 :rule bool-double-not-elim :args (@t365)) % 2.73/2.94 (step @p502 :rule refl :args (@t367)) % 2.73/2.94 (step @p503 :rule nary_cong :premises (@p502 @p501) :args ((or @t367 (not @t366)))) % 2.73/2.94 (step @p504 :rule cnf_or_neg :args (@t367 0)) % 2.73/2.94 (step @p505 :rule eq_resolve :premises (@p504 @p503)) % 2.73/2.94 (step @p506 :rule reordering :premises (@p505) :args ((or @t365 @t367))) % 2.73/2.94 (step @p507 :rule chain_m_resolution :premises (@p506 @p500) :args (@t365 @t328 @t372)) % 2.73/2.94 (step @p508 :rule cnf_or_pos :args (@t376)) % 2.73/2.94 (step @p509 :rule reordering :premises (@p508) :args ((or @t221 @t366 @t375 (not @t376)))) % 2.73/2.94 (step @p510 :rule chain_m_resolution :premises (@p509 @p397 @p507 @p60) :args (@t375 @t377 (@list @t220 @t365 @t376))) % 2.73/2.94 (step @p511 :rule bool-double-not-elim :args (@t363)) % 2.73/2.94 (step @p512 :rule nary_cong :premises (@p502 @p511) :args ((or @t367 (not @t364)))) % 2.73/2.94 (step @p513 :rule cnf_or_neg :args (@t367 1)) % 2.73/2.94 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 2.73/2.94 (step @p515 :rule reordering :premises (@p514) :args ((or @t363 @t367))) % 2.73/2.94 (step @p516 :rule chain_m_resolution :premises (@p515 @p500) :args (@t363 @t328 @t372)) % 2.73/2.94 (step @p517 :rule cnf_equiv_pos1 :args (@t375)) % 2.73/2.94 (step @p518 :rule reordering :premises (@p517) :args ((or @t364 @t374 (not @t375)))) % 2.73/2.94 (step @p519 :rule chain_m_resolution :premises (@p518 @p516 @p510) :args (@t374 @t330 (@list @t363 @t375))) % 2.73/2.94 (step @p520 :rule skolemize :premises (@p519)) % 2.73/2.94 (step @p521 :rule bool-double-not-elim :args (@t380)) % 2.73/2.94 (step @p522 :rule refl :args (@t384)) % 2.73/2.94 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or @t384 (not @t381)))) % 2.73/2.94 (step @p524 :rule cnf_or_neg :args (@t384 1)) % 2.73/2.94 (step @p525 :rule eq_resolve :premises (@p524 @p523)) % 2.73/2.94 (step @p526 :rule reordering :premises (@p525) :args ((or @t380 @t384))) % 2.73/2.94 (step @p527 :rule chain_m_resolution :premises (@p526 @p520) :args (@t380 @t328 @t385)) % 2.73/2.94 (step @p528 :rule bool-double-not-elim :args (@t315)) % 2.73/2.94 (step @p529 :rule nary_cong :premises (@p392 @p528) :args ((or @t317 (not @t316)))) % 2.73/2.94 (step @p530 :rule cnf_or_neg :args (@t317 3)) % 2.73/2.94 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 2.73/2.94 (step @p532 :rule reordering :premises (@p531) :args ((or @t315 @t317))) % 2.73/2.94 (step @p533 :rule chain_m_resolution :premises (@p532 @p390) :args (@t315 @t328 @t329)) % 2.73/2.94 (step @p534 :rule eq-symm :args (@t206 @t176)) % 2.73/2.94 (step @p535 :rule cong :premises (@p534) :args (@t386)) % 2.73/2.94 (step @p536 :rule refl :args (@t178)) % 2.73/2.94 (step @p537 :rule refl :args (@t179)) % 2.73/2.94 (step @p538 :rule refl :args (@t192)) % 2.73/2.94 (step @p539 :rule refl :args (@t193)) % 2.73/2.94 (step @p540 :rule refl :args (@t387)) % 2.73/2.94 (step @p541 :rule nary_cong :premises (@p414 @p540 @p539 @p412 @p538 @p537 @p536 @p535) :args (@t388)) % 2.73/2.94 (step @p542 :rule cong :premises (@p541) :args (@t389)) % 2.73/2.94 (step @p543 :rule cong :premises (@p542) :args (@t390)) % 2.73/2.94 (step @p544 :rule refl :args (@t392)) % 2.73/2.94 (step @p545 :rule refl :args (@t393)) % 2.73/2.94 (step @p546 :rule nary_cong :premises (@p489 @p545 @p487 @p544 @p543) :args (@t394)) % 2.73/2.94 (step @p547 :rule refl :args (@t315)) % 2.73/2.94 (step @p548 :rule cong :premises (@p547 @p546) :args ((=> @t315 @t394))) % 2.73/2.94 (assume-push @p886 @t315) % 2.73/2.94 (step @p550 :rule instantiate :premises (@p533) :args ((@list @t206))) % 2.73/2.94 (step-pop @p887 :rule scope :premises (@p550)) % 2.73/2.94 (step @p551 :rule process_scope :premises (@p887) :args (@t394)) % 2.73/2.94 (step @p553 :rule eq_resolve :premises (@p551 @p548)) % 2.73/2.94 (step @p554 :rule implies_elim :premises (@p553)) % 2.73/2.94 (step @p555 :rule chain_m_resolution :premises (@p554 @p533) :args (@t397 @t232 (@list @t315))) % 2.73/2.94 (step @p556 :rule aci_norm :args ((= (or @t147 @t400) @t399))) % 2.73/2.94 (step @p557 :rule aci_norm :args ((= (or (or @t54 @t398) @t62) @t400))) % 2.73/2.94 (step @p558 :rule refl :args (@t62)) % 2.73/2.94 (step @p559 :rule refl :args (@t398)) % 2.73/2.94 (step @p560 :rule bool-double-not-elim :args (@t54)) % 2.73/2.94 (step @p561 :rule nary_cong :premises (@p560 @p559) :args ((or (not @t59) @t398))) % 2.73/2.94 (step @p562 :rule bool-and-de-morgan :args (@t59 @t53 true)) % 2.73/2.94 (step @p563 :rule trans :premises (@p562 @p561)) % 2.73/2.94 (step @p564 :rule nary_cong :premises (@p563 @p558) :args ((or (not @t60) @t62))) % 2.73/2.94 (step @p565 :rule trans :premises (@p564 @p557)) % 2.73/2.94 (step @p566 :rule bool-impl-elim :args (@t60 @t62)) % 2.73/2.94 (step @p567 :rule trans :premises (@p566 @p565)) % 2.73/2.94 (step @p568 :rule nary_cong :premises (@p42 @p567) :args ((or @t148 @t63))) % 2.73/2.94 (step @p569 :rule trans :premises (@p568 @p556)) % 2.73/2.94 (step @p570 :rule bool-impl-elim :args (@t8 @t63)) % 2.73/2.94 (step @p571 :rule trans :premises (@p570 @p569)) % 2.73/2.94 (step @p572 :rule cong :premises (@p571) :args (@t64)) % 2.73/2.94 (step @p573 :rule eq_resolve :premises (@p29 @p572)) % 2.73/2.94 (step @p574 :rule refl :args (@t391)) % 2.73/2.94 (step @p575 :rule refl :args (@t402)) % 2.73/2.94 (step @p576 :rule nary_cong :premises (@p489 @p101 @p486 @p575 @p574) :args (@t403)) % 2.73/2.94 (step @p577 :rule refl :args (@t404)) % 2.73/2.94 (step @p578 :rule cong :premises (@p577 @p576) :args ((=> @t404 @t403))) % 2.73/2.94 (assume-push @p888 @t404) % 2.73/2.94 (step @p580 :rule instantiate :premises (@p573) :args (@t207)) % 2.73/2.94 (step-pop @p889 :rule scope :premises (@p580)) % 2.73/2.94 (step @p581 :rule process_scope :premises (@p889) :args (@t403)) % 2.73/2.94 (step @p583 :rule eq_resolve :premises (@p581 @p578)) % 2.73/2.94 (step @p584 :rule implies_elim :premises (@p583)) % 2.73/2.94 (step @p585 :rule chain_m_resolution :premises (@p584 @p573) :args (@t405 @t232 (@list @t404))) % 2.73/2.94 (step @p586 :rule aci_norm :args ((= (or @t147 @t407) (or @t146 @t145 @t406 @t163 @t53)))) % 2.73/2.94 (step @p587 :rule aci_norm :args ((= (or (or @t406 @t163) @t53) @t407))) % 2.73/2.94 (step @p588 :rule refl :args (@t53)) % 2.73/2.94 (step @p589 :rule refl :args (@t406)) % 2.73/2.94 (step @p590 :rule nary_cong :premises (@p589 @p147) :args ((or @t406 @t248))) % 2.73/2.94 (step @p591 :rule bool-and-de-morgan :args (@t68 @t247 true)) % 2.73/2.94 (step @p592 :rule trans :premises (@p591 @p590)) % 2.73/2.94 (step @p593 :rule nary_cong :premises (@p592 @p588) :args ((or (not @t408) @t53))) % 2.73/2.94 (step @p594 :rule trans :premises (@p593 @p587)) % 2.73/2.94 (step @p595 :rule bool-impl-elim :args (@t408 @t53)) % 2.73/2.94 (step @p596 :rule trans :premises (@p595 @p594)) % 2.73/2.94 (step @p597 :rule nary_cong :premises (@p42 @p596) :args ((or @t148 @t409))) % 2.73/2.94 (step @p598 :rule trans :premises (@p597 @p586)) % 2.73/2.94 (step @p599 :rule bool-impl-elim :args (@t8 @t409)) % 2.73/2.94 (step @p600 :rule trans :premises (@p599 @p598)) % 2.73/2.94 (step @p601 :rule cong :premises (@p600) :args ((forall @t9 (=> @t8 @t409)))) % 2.73/2.94 (step @p602 :rule refl :args (@t53)) % 2.73/2.94 (step @p603 :rule nary_cong :premises (@p53 @p227) :args (@t77)) % 2.73/2.94 (step @p604 :rule cong :premises (@p603 @p602) :args (@t78)) % 2.73/2.94 (step @p605 :rule cong :premises (@p55 @p604) :args (@t79)) % 2.73/2.94 (step @p606 :rule cong :premises (@p605) :args (@t80)) % 2.73/2.94 (step @p607 :rule trans :premises (@p606 @p601)) % 2.73/2.94 (step @p608 :rule eq_resolve :premises (@p35 @p607)) % 2.73/2.94 (step @p609 :rule instantiate :premises (@p608) :args (@t207)) % 2.73/2.94 (step @p610 :rule cnf_or_pos :args (@t410)) % 2.73/2.94 (step @p611 :rule reordering :premises (@p610) :args ((or @t221 @t227 @t366 @t364 @t401 (not @t410)))) % 2.73/2.94 (step @p612 :rule chain_m_resolution :premises (@p611 @p397 @p473 @p507 @p516 @p609) :args (@t401 (@list false true false false false) (@list @t220 @t227 @t365 @t363 @t410))) % 2.73/2.94 (step @p613 :rule cnf_or_neg :args (@t367 3)) % 2.73/2.94 (step @p614 :rule chain_m_resolution :premises (@p613 @p500) :args ((not @t361) @t328 @t372)) % 2.73/2.94 (step @p615 :rule cnf_or_pos :args (@t405)) % 2.73/2.94 (step @p616 :rule reordering :premises (@p615) :args ((or @t221 @t366 @t361 @t391 @t402 (not @t405)))) % 2.73/2.94 (step @p617 :rule chain_m_resolution :premises (@p616 @p397 @p507 @p614 @p612 @p585) :args (@t391 (@list false false true false false) (@list @t220 @t365 @t361 @t401 @t405))) % 2.73/2.94 (step @p618 :rule bool-impl-elim :args (@t2 @t411)) % 2.73/2.94 (step @p619 :rule cong :premises (@p618) :args ((forall @t3 (=> @t2 @t411)))) % 2.73/2.94 (step @p620 :rule refl :args (@t35)) % 2.73/2.94 (step @p621 :rule eq-symm :args (@t36 tptp.sz00)) % 2.73/2.94 (step @p622 :rule nary_cong :premises (@p621 @p620) :args (@t37)) % 2.73/2.94 (step @p623 :rule cong :premises (@p83 @p622) :args (@t38)) % 2.73/2.94 (step @p624 :rule cong :premises (@p623) :args (@t39)) % 2.73/2.94 (step @p625 :rule trans :premises (@p624 @p619)) % 2.73/2.94 (step @p626 :rule eq_resolve :premises (@p12 @p625)) % 2.73/2.94 (step @p627 :rule instantiate :premises (@p626) :args (@t412)) % 2.73/2.94 (step @p628 :rule bool-double-not-elim :args (@t382)) % 2.73/2.94 (step @p629 :rule nary_cong :premises (@p522 @p628) :args ((or @t384 (not @t383)))) % 2.73/2.94 (step @p630 :rule cnf_or_neg :args (@t384 0)) % 2.73/2.94 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 2.73/2.94 (step @p632 :rule reordering :premises (@p631) :args ((or @t382 @t384))) % 2.73/2.94 (step @p633 :rule chain_m_resolution :premises (@p632 @p520) :args (@t382 @t328 @t385)) % 2.73/2.94 (step @p634 :rule cnf_or_pos :args (@t415)) % 2.73/2.94 (step @p635 :rule reordering :premises (@p634) :args ((or @t383 @t414 (not @t415)))) % 2.73/2.94 (step @p636 :rule chain_m_resolution :premises (@p635 @p633 @p627) :args (@t414 @t330 (@list @t382 @t415))) % 2.73/2.94 (step @p637 :rule cnf_and_pos :args (@t414 0)) % 2.73/2.94 (step @p638 :rule reordering :premises (@p637) :args ((or @t413 (not @t414)))) % 2.73/2.94 (step @p639 :rule chain_m_resolution :premises (@p638 @p636) :args (@t413 @t232 (@list @t414))) % 2.73/2.94 (step @p640 :rule aci_norm :args ((= (or @t147 @t25) (or @t146 @t145 @t25)))) % 2.73/2.94 (step @p641 :rule refl :args (@t25)) % 2.73/2.94 (step @p642 :rule nary_cong :premises (@p42 @p641) :args ((or @t148 @t25))) % 2.73/2.94 (step @p643 :rule trans :premises (@p642 @p640)) % 2.73/2.94 (step @p644 :rule bool-impl-elim :args (@t8 @t25)) % 2.73/2.94 (step @p645 :rule trans :premises (@p644 @p643)) % 2.73/2.94 (step @p646 :rule cong :premises (@p645) :args (@t26)) % 2.73/2.94 (step @p647 :rule eq_resolve :premises (@p9 @p646)) % 2.73/2.94 (step @p648 :rule instantiate :premises (@p647) :args ((@list @t206 @t378))) % 2.73/2.94 (step @p649 :rule cnf_or_pos :args (@t418)) % 2.73/2.94 (step @p650 :rule reordering :premises (@p649) :args ((or @t366 @t383 @t417 (not @t418)))) % 2.73/2.94 (step @p651 :rule chain_m_resolution :premises (@p650 @p507 @p633 @p648) :args (@t417 @t377 (@list @t365 @t382 @t418))) % 2.73/2.94 (step @p652 :rule bool-impl-elim :args (@t2 @t419)) % 2.73/2.94 (step @p653 :rule cong :premises (@p652) :args ((forall @t3 (=> @t2 @t419)))) % 2.73/2.94 (step @p654 :rule refl :args (@t19)) % 2.73/2.94 (step @p655 :rule eq-symm :args (@t20 @t1)) % 2.73/2.94 (step @p656 :rule nary_cong :premises (@p655 @p654) :args (@t21)) % 2.73/2.94 (step @p657 :rule cong :premises (@p83 @p656) :args (@t22)) % 2.73/2.94 (step @p658 :rule cong :premises (@p657) :args (@t23)) % 2.73/2.94 (step @p659 :rule trans :premises (@p658 @p653)) % 2.73/2.94 (step @p660 :rule eq_resolve :premises (@p8 @p659)) % 2.73/2.94 (step @p661 :rule instantiate :premises (@p660) :args (@t412)) % 2.73/2.94 (step @p662 :rule cnf_or_pos :args (@t423)) % 2.73/2.94 (step @p663 :rule reordering :premises (@p662) :args ((or @t383 @t422 (not @t423)))) % 2.73/2.94 (step @p664 :rule chain_m_resolution :premises (@p663 @p633 @p661) :args (@t422 @t330 (@list @t382 @t423))) % 2.73/2.94 (step @p665 :rule cnf_and_pos :args (@t422 0)) % 2.73/2.94 (step @p666 :rule reordering :premises (@p665) :args ((or @t421 (not @t422)))) % 2.73/2.94 (step @p667 :rule chain_m_resolution :premises (@p666 @p664) :args (@t421 @t232 (@list @t422))) % 2.73/2.94 (assume-push @p890 @t393) % 2.73/2.94 (assume-push @p891 @t380) % 2.73/2.94 (assume-push @p892 @t421) % 2.73/2.94 (assume-push @p893 @t417) % 2.73/2.94 (assume-push @p894 @t413) % 2.73/2.94 (assume-push @p895 @t393) % 2.73/2.94 (assume-push @p896 @t413) % 2.73/2.94 (assume-push @p897 @t421) % 2.73/2.94 (assume-push @p898 @t417) % 2.73/2.94 (assume-push @p899 @t380) % 2.73/2.94 (step @p678 :rule symm :premises (@p639)) % 2.73/2.94 (step @p679 :rule symm :premises (@p890)) % 2.73/2.94 (step @p680 :rule symm :premises (@p667)) % 2.73/2.94 (step @p681 :rule cong :premises (@p680 @p679) :args ((tptp.sdtasdt0 @t420 @t206))) % 2.73/2.94 (step @p682 :rule refl :args (@t206)) % 2.73/2.94 (step @p683 :rule cong :premises (@p667 @p682) :args (@t416)) % 2.73/2.94 (step @p684 :rule trans :premises (@p527 @p651 @p683 @p681 @p678 @p890)) % 2.73/2.94 (step-pop @p900 :rule scope :premises (@p684)) % 2.73/2.94 (step-pop @p901 :rule scope :premises (@p900)) % 2.73/2.94 (step-pop @p902 :rule scope :premises (@p901)) % 2.73/2.94 (step-pop @p903 :rule scope :premises (@p902)) % 2.73/2.94 (step-pop @p904 :rule scope :premises (@p903)) % 2.73/2.94 (step @p685 :rule process_scope :premises (@p904) :args (@t361)) % 2.73/2.94 (step @p691 :rule and_intro :premises (@p890 @p639 @p667 @p651 @p527)) % 2.73/2.94 (step @p692 :rule modus_ponens :premises (@p691 @p685)) % 2.73/2.94 (step-pop @p905 :rule scope :premises (@p692)) % 2.73/2.94 (step-pop @p906 :rule scope :premises (@p905)) % 2.73/2.94 (step-pop @p907 :rule scope :premises (@p906)) % 2.73/2.94 (step-pop @p908 :rule scope :premises (@p907)) % 2.73/2.94 (step-pop @p909 :rule scope :premises (@p908)) % 2.73/2.94 (step @p693 :rule process_scope :premises (@p909) :args (@t361)) % 2.73/2.94 (step @p699 :rule implies_elim :premises (@p693)) % 2.73/2.94 (step @p700 :rule cnf_and_neg :args (@t424)) % 2.73/2.94 (step @p701 :rule resolution :premises (@p700 @p699) :args (true @t424)) % 2.73/2.94 (step @p702 :rule reordering :premises (@p701) :args ((or @t361 @t425 @t381 (not @t421) (not @t417) (not @t413)))) % 2.73/2.94 (step @p703 :rule chain_m_resolution :premises (@p702 @p614 @p527 @p667 @p651 @p639) :args (@t425 (@list true false false false false) (@list @t361 @t380 @t421 @t417 @t413))) % 2.73/2.94 (step @p704 :rule cnf_or_neg :args (@t367 2)) % 2.73/2.94 (step @p705 :rule chain_m_resolution :premises (@p704 @p500) :args ((not @t362) @t328 @t372)) % 2.73/2.94 (step @p706 :rule cnf_or_pos :args (@t397)) % 2.73/2.94 (step @p707 :rule reordering :premises (@p706) :args ((or @t366 @t362 @t393 @t392 @t396 (not @t397)))) % 2.73/2.94 (step @p708 :rule chain_m_resolution :premises (@p707 @p507 @p705 @p703 @p617 @p555) :args (@t396 (@list false true true false false) (@list @t365 @t362 @t393 @t391 @t397))) % 2.73/2.94 (step @p709 :rule refl :args (@t442)) % 2.73/2.94 (step @p710 :rule bool-double-not-elim :args (@t395)) % 2.73/2.94 (step @p711 :rule nary_cong :premises (@p710 @p709) :args ((or (not @t396) @t442))) % 2.73/2.94 (step @p712 :rule eq-symm :args (@t428 @t206)) % 2.73/2.94 (step @p713 :rule cong :premises (@p712) :args (@t443)) % 2.73/2.94 (step @p714 :rule refl :args (@t432)) % 2.73/2.94 (step @p715 :rule refl :args (@t434)) % 2.73/2.94 (step @p716 :rule eq-symm :args (@t427 @t98)) % 2.73/2.94 (step @p717 :rule refl :args (@t181)) % 2.73/2.94 (step @p718 :rule refl :args (@t435)) % 2.73/2.94 (step @p719 :rule eq-symm :args (@t427 @t184)) % 2.73/2.94 (step @p720 :rule cong :premises (@p719) :args (@t444)) % 2.73/2.94 (step @p721 :rule refl :args (@t185)) % 2.73/2.94 (step @p722 :rule nary_cong :premises (@p721 @p720) :args (@t445)) % 2.73/2.94 (step @p723 :rule nary_cong :premises (@p722 @p718) :args (@t446)) % 2.73/2.94 (step @p724 :rule refl :args (@t188)) % 2.73/2.94 (step @p725 :rule nary_cong :premises (@p724 @p723 @p717 @p716) :args (@t447)) % 2.73/2.94 (step @p726 :rule cong :premises (@p725) :args (@t448)) % 2.73/2.94 (step @p727 :rule cong :premises (@p726) :args (@t449)) % 2.73/2.94 (step @p728 :rule refl :args (@t436)) % 2.73/2.94 (step @p729 :rule refl :args (@t437)) % 2.73/2.94 (step @p730 :rule refl :args (@t438)) % 2.73/2.94 (step @p731 :rule refl :args (@t440)) % 2.73/2.94 (step @p732 :rule nary_cong :premises (@p731 @p730 @p729 @p728 @p727 @p715 @p714 @p713) :args (@t450)) % 2.73/2.94 (step @p733 :rule cong :premises (@p732) :args (@t451)) % 2.73/2.94 (step @p734 :rule refl :args (@t396)) % 2.73/2.94 (step @p735 :rule cong :premises (@p734 @p733) :args ((=> @t396 @t451))) % 2.73/2.94 (assume-push @p910 @t396) % 2.73/2.94 (step @p737 :rule skolemize :premises (@p910)) % 2.73/2.94 (step-pop @p911 :rule scope :premises (@p737)) % 2.73/2.94 (step @p738 :rule process_scope :premises (@p911) :args (@t451)) % 2.73/2.94 (step @p740 :rule eq_resolve :premises (@p738 @p735)) % 2.73/2.94 (step @p741 :rule implies_elim :premises (@p740)) % 2.73/2.94 (step @p742 :rule eq_resolve :premises (@p741 @p711)) % 2.73/2.94 (step @p743 :rule chain_m_resolution :premises (@p742 @p708) :args (@t442 @t328 (@list @t395))) % 2.73/2.94 (step @p744 :rule bool-double-not-elim :args (@t429)) % 2.73/2.94 (step @p745 :rule refl :args (@t441)) % 2.73/2.94 (step @p746 :rule nary_cong :premises (@p745 @p744) :args ((or @t441 (not @t430)))) % 2.73/2.94 (step @p747 :rule cnf_or_neg :args (@t441 7)) % 2.73/2.94 (step @p748 :rule eq_resolve :premises (@p747 @p746)) % 2.73/2.94 (step @p749 :rule reordering :premises (@p748) :args ((or @t429 @t441))) % 2.73/2.94 (step @p750 :rule chain_m_resolution :premises (@p749 @p743) :args (@t429 @t328 @t452)) % 2.73/2.94 (step @p751 :rule aci_norm :args ((= (or @t453 @t28) (or @t146 @t145 @t143 @t28)))) % 2.73/2.94 (step @p752 :rule refl :args (@t28)) % 2.73/2.94 (step @p753 :rule aci_norm :args ((= (or @t146 (or @t145 @t143)) @t453))) % 2.73/2.94 (step @p754 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 2.73/2.94 (step @p755 :rule nary_cong :premises (@p116 @p754) :args ((or @t146 (not @t47)))) % 2.73/2.94 (step @p756 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 2.73/2.94 (step @p757 :rule trans :premises (@p756 @p755)) % 2.73/2.94 (step @p758 :rule trans :premises (@p757 @p753)) % 2.73/2.94 (step @p759 :rule nary_cong :premises (@p758 @p752) :args ((or (not @t17) @t28))) % 2.73/2.94 (step @p760 :rule trans :premises (@p759 @p751)) % 2.73/2.94 (step @p761 :rule bool-impl-elim :args (@t17 @t28)) % 2.73/2.94 (step @p762 :rule trans :premises (@p761 @p760)) % 2.73/2.94 (step @p763 :rule cong :premises (@p762) :args (@t29)) % 2.73/2.94 (step @p764 :rule eq_resolve :premises (@p10 @p763)) % 2.73/2.94 (step @p765 :rule instantiate :premises (@p764) :args ((@list @t427 @t426 @t378))) % 2.73/2.94 (step @p766 :rule bool-double-not-elim :args (@t431)) % 2.73/2.94 (step @p767 :rule nary_cong :premises (@p745 @p766) :args ((or @t441 (not @t432)))) % 2.73/2.94 (step @p768 :rule cnf_or_neg :args (@t441 6)) % 2.73/2.94 (step @p769 :rule eq_resolve :premises (@p768 @p767)) % 2.73/2.94 (step @p770 :rule reordering :premises (@p769) :args ((or @t431 @t441))) % 2.73/2.94 (step @p771 :rule chain_m_resolution :premises (@p770 @p743) :args (@t431 @t328 @t452)) % 2.73/2.94 (step @p772 :rule bool-double-not-elim :args (@t439)) % 2.73/2.94 (step @p773 :rule nary_cong :premises (@p745 @p772) :args ((or @t441 (not @t440)))) % 2.73/2.94 (step @p774 :rule cnf_or_neg :args (@t441 0)) % 2.73/2.94 (step @p775 :rule eq_resolve :premises (@p774 @p773)) % 2.73/2.94 (step @p776 :rule reordering :premises (@p775) :args ((or @t439 @t441))) % 2.73/2.94 (step @p777 :rule chain_m_resolution :premises (@p776 @p743) :args (@t439 @t328 @t452)) % 2.73/2.94 (step @p778 :rule cnf_or_pos :args (@t457)) % 2.73/2.94 (step @p779 :rule reordering :premises (@p778) :args ((or @t383 @t440 @t432 @t456 (not @t457)))) % 2.73/2.94 (step @p780 :rule chain_m_resolution :premises (@p779 @p633 @p777 @p771 @p765) :args (@t456 (@list false false false false) (@list @t382 @t439 @t431 @t457))) % 2.73/2.94 (step @p781 :rule eq-symm :args (@t427 @t153)) % 2.73/2.94 (step @p782 :rule cong :premises (@p781) :args (@t458)) % 2.73/2.94 (step @p783 :rule eq-symm :args (@t427 @t14)) % 2.73/2.94 (step @p784 :rule refl :args (@t459)) % 2.73/2.94 (step @p785 :rule nary_cong :premises (@p414 @p784 @p412 @p783 @p410 @p782) :args (@t460)) % 2.73/2.94 (step @p786 :rule cong :premises (@p785) :args (@t461)) % 2.73/2.94 (step @p787 :rule cong :premises (@p786) :args (@t462)) % 2.73/2.94 (step @p788 :rule nary_cong :premises (@p729 @p728 @p787) :args (@t463)) % 2.73/2.94 (step @p789 :rule nary_cong :premises (@p788 @p715) :args (@t464)) % 2.73/2.94 (step @p790 :rule refl :args (@t465)) % 2.73/2.94 (step @p791 :rule eq-symm :args (@t455 @t203)) % 2.73/2.94 (step @p792 :rule cong :premises (@p791) :args (@t466)) % 2.73/2.94 (step @p793 :rule refl :args (@t468)) % 2.73/2.94 (step @p794 :rule nary_cong :premises (@p793 @p792) :args (@t469)) % 2.73/2.94 (step @p795 :rule nary_cong :premises (@p794 @p790) :args (@t470)) % 2.73/2.94 (step @p796 :rule nary_cong :premises (@p731 @p795 @p789) :args (@t471)) % 2.73/2.94 (step @p797 :rule cong :premises (@p429 @p796) :args ((=> @t313 @t471))) % 2.73/2.94 (assume-push @p912 @t313) % 2.73/2.94 (step @p799 :rule instantiate :premises (@p406) :args ((@list @t427 @t454))) % 2.73/2.94 (step-pop @p913 :rule scope :premises (@p799)) % 2.73/2.94 (step @p800 :rule process_scope :premises (@p913) :args (@t471)) % 2.73/2.94 (step @p802 :rule eq_resolve :premises (@p800 @p797)) % 2.73/2.94 (step @p803 :rule implies_elim :premises (@p802)) % 2.73/2.94 (step @p804 :rule chain_m_resolution :premises (@p803 @p406) :args (@t477 @t232 @t352)) % 2.73/2.94 (step @p805 :rule bool-double-not-elim :args (@t433)) % 2.73/2.94 (step @p806 :rule nary_cong :premises (@p745 @p805) :args ((or @t441 (not @t434)))) % 2.73/2.94 (step @p807 :rule cnf_or_neg :args (@t441 5)) % 2.73/2.94 (step @p808 :rule eq_resolve :premises (@p807 @p806)) % 2.73/2.94 (step @p809 :rule reordering :premises (@p808) :args ((or @t433 @t441))) % 2.73/2.94 (step @p810 :rule chain_m_resolution :premises (@p809 @p743) :args (@t433 @t328 @t452)) % 2.73/2.94 (step @p811 :rule cnf_and_pos :args (@t472 1)) % 2.73/2.94 (step @p812 :rule reordering :premises (@p811) :args ((or @t434 @t478))) % 2.73/2.94 (step @p813 :rule chain_m_resolution :premises (@p812 @p810) :args (@t478 @t232 (@list @t433))) % 2.73/2.94 (step @p814 :rule cnf_or_pos :args (@t477)) % 2.73/2.94 (step @p815 :rule reordering :premises (@p814) :args ((or @t440 @t472 @t476 (not @t477)))) % 2.73/2.94 (step @p816 :rule chain_m_resolution :premises (@p815 @p777 @p813 @p804) :args (@t476 @t358 (@list @t439 @t472 @t477))) % 2.73/2.94 (step @p817 :rule cnf_and_pos :args (@t476 0)) % 2.73/2.94 (step @p818 :rule reordering :premises (@p817) :args ((or @t475 (not @t476)))) % 2.73/2.94 (step @p819 :rule chain_m_resolution :premises (@p818 @p816) :args (@t475 @t232 (@list @t476))) % 2.73/2.95 (step @p820 :rule aci_norm :args ((= (or @t147 @t11) (or @t146 @t145 @t11)))) % 2.73/2.95 (step @p821 :rule refl :args (@t11)) % 2.73/2.95 (step @p822 :rule nary_cong :premises (@p42 @p821) :args ((or @t148 @t11))) % 2.73/2.95 (step @p823 :rule trans :premises (@p822 @p820)) % 2.73/2.95 (step @p824 :rule bool-impl-elim :args (@t8 @t11)) % 2.73/2.95 (step @p825 :rule trans :premises (@p824 @p823)) % 2.73/2.95 (step @p826 :rule cong :premises (@p825) :args (@t12)) % 2.73/2.95 (step @p827 :rule eq_resolve :premises (@p5 @p826)) % 2.73/2.95 (step @p828 :rule instantiate :premises (@p827) :args ((@list @t426 @t378))) % 2.73/2.95 (step @p829 :rule cnf_or_pos :args (@t479)) % 2.73/2.95 (step @p830 :rule reordering :premises (@p829) :args ((or @t383 @t432 @t467 (not @t479)))) % 2.73/2.95 (step @p831 :rule chain_m_resolution :premises (@p830 @p633 @p771 @p828) :args (@t467 @t377 (@list @t382 @t431 @t479))) % 2.73/2.95 (step @p832 :rule cnf_or_pos :args (@t475)) % 2.73/2.95 (step @p833 :rule reordering :premises (@p832) :args ((or @t468 @t474 (not @t475)))) % 2.73/2.95 (step @p834 :rule chain_m_resolution :premises (@p833 @p831 @p819) :args (@t474 @t330 (@list @t467 @t475))) % 2.73/2.95 (step @p835 :rule bool-double-not-elim :args (@t473)) % 2.73/2.95 (step @p836 :rule refl :args (@t480)) % 2.73/2.95 (step @p837 :rule refl :args (@t430)) % 2.73/2.95 (step @p838 :rule refl :args (@t381)) % 2.73/2.95 (step @p839 :rule nary_cong :premises (@p838 @p837 @p836 @p835) :args ((or @t381 @t430 @t480 (not @t474)))) % 2.73/2.95 (assume-push @p914 @t474) % 2.73/2.95 (assume-push @p915 @t473) % 2.73/2.95 (step @p842 :rule evaluate :args ((= true false))) % 2.73/2.95 (step @p843 :rule false_intro :premises (@p914)) % 2.73/2.95 (step @p844 :rule true_intro :premises (@p915)) % 2.73/2.95 (step @p845 :rule symm :premises (@p844)) % 2.73/2.95 (step @p846 :rule trans :premises (@p845 @p843)) % 2.73/2.95 (step @p847 false :rule eq_resolve :premises (@p846 @p842)) % 2.73/2.95 (step-pop @p916 :rule scope :premises (@p847)) % 2.73/2.95 (step-pop @p917 :rule scope :premises (@p916)) % 2.73/2.95 (step @p848 :rule process_scope :premises (@p917) :args (false)) % 2.73/2.95 (assume-push @p918 @t380) % 2.73/2.95 (assume-push @p919 @t429) % 2.73/2.95 (assume-push @p920 @t456) % 2.73/2.95 (assume-push @p921 @t474) % 2.73/2.95 (assume-push @p922 @t456) % 2.73/2.95 (assume-push @p923 @t429) % 2.73/2.95 (assume-push @p924 @t380) % 2.73/2.95 (step @p858 :rule refl :args (@t378)) % 2.73/2.95 (step @p859 :rule cong :premises (@p919 @p858) :args (@t379)) % 2.73/2.95 (step @p860 :rule trans :premises (@p527 @p859 @p920)) % 2.73/2.95 (step-pop @p925 :rule scope :premises (@p860)) % 2.73/2.95 (step-pop @p926 :rule scope :premises (@p925)) % 2.73/2.95 (step-pop @p927 :rule scope :premises (@p926)) % 2.73/2.95 (step @p861 :rule process_scope :premises (@p927) :args (@t473)) % 2.73/2.95 (step @p865 :rule and_intro :premises (@p920 @p919 @p527)) % 2.73/2.95 (step @p866 :rule modus_ponens :premises (@p865 @p861)) % 2.73/2.95 (step @p867 :rule and_intro :premises (@p921 @p866)) % 2.73/2.95 (step-pop @p928 :rule scope :premises (@p867)) % 2.73/2.95 (step-pop @p929 :rule scope :premises (@p928)) % 2.73/2.95 (step-pop @p930 :rule scope :premises (@p929)) % 2.73/2.95 (step-pop @p931 :rule scope :premises (@p930)) % 2.73/2.95 (step @p868 :rule process_scope :premises (@p931) :args (@t481)) % 2.73/2.95 (step @p873 :rule implies_elim :premises (@p868)) % 2.73/2.95 (step @p874 :rule resolution :premises (@p873 @p848) :args (true @t481)) % 2.73/2.95 (step @p875 :rule not_and :premises (@p874)) % 2.73/2.95 (step @p876 :rule eq_resolve :premises (@p875 @p839)) % 2.73/2.95 (step @p877 false :rule chain_m_resolution :premises (@p876 @p834 @p780 @p750 @p527) :args (false (@list true false false false) (@list @t473 @t456 @t429 @t380))) % 2.73/2.95 ) % 2.73/2.95 % SZS output end Proof % 2.73/2.95 % cvc5 exiting %------------------------------------------------------------------------------