%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM475+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 : n006.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 08:39:32 AM UTC 2026 % Result : Theorem 16.53s 16.73s % Output : Proof 16.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM475+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:22:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.53/16.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.53/16.73 --- Run --no-e-matching --full-saturate-quant at 6... % 16.53/16.73 % SZS status Theorem % 16.53/16.73 % SZS output start Proof % 16.53/16.73 ( % 16.53/16.73 (declare-sort $$unsorted 0) % 16.53/16.73 (declare-const tptp.xr $$unsorted) % 16.53/16.73 (declare-const tptp.xq $$unsorted) % 16.53/16.73 (declare-const tptp.xp $$unsorted) % 16.53/16.73 (declare-const tptp.sz10 $$unsorted) % 16.53/16.73 (declare-const tptp.xl $$unsorted) % 16.53/16.73 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.53/16.73 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.53/16.73 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.53/16.73 (declare-const tptp.sz00 $$unsorted) % 16.53/16.73 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.53/16.73 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.53/16.73 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.53/16.73 (declare-const tptp.xn $$unsorted) % 16.53/16.73 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.53/16.73 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.53/16.73 (declare-const tptp.xm $$unsorted) % 16.53/16.73 (define @t1 () (@var "W0" $$unsorted)) % 16.53/16.73 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 16.53/16.73 (define @t3 () (@list @t1)) % 16.53/16.73 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 16.53/16.73 (define @t5 () (@var "W1" $$unsorted)) % 16.53/16.73 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 16.53/16.73 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 16.53/16.73 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 16.53/16.73 (define @t9 () (and @t2 @t8)) % 16.53/16.73 (define @t10 () (@list @t1 @t5)) % 16.53/16.73 (define @t11 () (forall @t10 (=> @t9 @t7))) % 16.53/16.73 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 16.53/16.73 (define @t13 () (tptp.aNaturalNumber0 @t12)) % 16.53/16.73 (define @t14 () (forall @t10 (=> @t9 @t13))) % 16.53/16.73 (define @t15 () (tptp.sdtpldt0 @t5 @t1)) % 16.53/16.73 (define @t16 () (@var "W2" $$unsorted)) % 16.53/16.73 (define @t17 () (tptp.sdtpldt0 @t5 @t16)) % 16.53/16.73 (define @t18 () (tptp.aNaturalNumber0 @t16)) % 16.53/16.73 (define @t19 () (and @t2 @t8 @t18)) % 16.53/16.73 (define @t20 () (@list @t1 @t5 @t16)) % 16.53/16.73 (define @t21 () (tptp.sdtasdt0 @t5 @t1)) % 16.53/16.73 (define @t22 () (= @t12 @t21)) % 16.53/16.73 (define @t23 () (forall @t10 (=> @t9 @t22))) % 16.53/16.73 (define @t24 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 16.53/16.73 (define @t25 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 16.53/16.73 (define @t26 () (and (= @t25 @t1) @t24)) % 16.53/16.73 (define @t27 () (=> @t2 @t26)) % 16.53/16.73 (define @t28 () (forall @t3 @t27)) % 16.53/16.73 (define @t29 () (tptp.sdtasdt0 @t16 @t1)) % 16.53/16.73 (define @t30 () (tptp.sdtasdt0 @t1 @t16)) % 16.53/16.73 (define @t31 () (= @t5 @t16)) % 16.53/16.73 (define @t32 () (tptp.sdtpldt0 @t16 @t1)) % 16.53/16.73 (define @t33 () (= @t15 @t32)) % 16.53/16.73 (define @t34 () (tptp.sdtpldt0 @t1 @t16)) % 16.53/16.73 (define @t35 () (= @t6 @t34)) % 16.53/16.73 (define @t36 () (or @t35 @t33)) % 16.53/16.73 (define @t37 () (=> @t36 @t31)) % 16.53/16.73 (define @t38 () (forall @t20 (=> @t19 @t37))) % 16.53/16.73 (define @t39 () (= @t21 @t29)) % 16.53/16.73 (define @t40 () (= @t12 @t30)) % 16.53/16.73 (define @t41 () (and @t8 @t18)) % 16.53/16.73 (define @t42 () (= @t1 tptp.sz00)) % 16.53/16.73 (define @t43 () (not @t42)) % 16.53/16.73 (define @t44 () (= @t5 tptp.sz00)) % 16.53/16.73 (define @t45 () (and @t18 (= @t34 @t5))) % 16.53/16.73 (define @t46 () (@list @t16)) % 16.53/16.73 (define @t47 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.53/16.73 (define @t48 () (tptp.sdtmndt0 @t5 @t1)) % 16.53/16.73 (define @t49 () (= @t16 @t48)) % 16.53/16.73 (define @t50 () (forall @t46 (= @t49 @t45))) % 16.53/16.73 (define @t51 () (=> @t47 @t50)) % 16.53/16.73 (define @t52 () (=> @t9 @t51)) % 16.53/16.73 (define @t53 () (forall @t10 @t52)) % 16.53/16.73 (define @t54 () (= @t1 @t5)) % 16.53/16.73 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 16.53/16.73 (define @t56 () (tptp.sdtlseqdt0 @t5 @t16)) % 16.53/16.73 (define @t57 () (tptp.sdtpldt0 @t16 @t5)) % 16.53/16.73 (define @t58 () (and (not @t54) @t47)) % 16.53/16.73 (define @t59 () (tptp.iLess0 @t1 @t5)) % 16.53/16.73 (define @t60 () (and @t18 (= @t5 @t30))) % 16.53/16.73 (define @t61 () (tptp.doDivides0 @t1 @t5)) % 16.53/16.73 (define @t62 () (tptp.sdtsldt0 @t5 @t1)) % 16.53/16.73 (define @t63 () (= @t16 @t62)) % 16.53/16.73 (define @t64 () (forall @t46 (= @t63 @t60))) % 16.53/16.73 (define @t65 () (and @t43 @t61)) % 16.53/16.73 (define @t66 () (=> @t65 @t64)) % 16.53/16.73 (define @t67 () (=> @t9 @t66)) % 16.53/16.73 (define @t68 () (forall @t10 @t67)) % 16.53/16.73 (define @t69 () (tptp.doDivides0 @t1 @t16)) % 16.53/16.73 (define @t70 () (tptp.aNaturalNumber0 tptp.xn)) % 16.53/16.73 (define @t71 () (tptp.aNaturalNumber0 tptp.xm)) % 16.53/16.73 (define @t72 () (tptp.aNaturalNumber0 tptp.xl)) % 16.53/16.73 (define @t73 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 16.53/16.73 (define @t74 () (tptp.doDivides0 tptp.xl tptp.xm)) % 16.53/16.73 (define @t75 () (= tptp.xl tptp.sz00)) % 16.53/16.73 (define @t76 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 16.53/16.73 (define @t77 () (tptp.sdtsldt0 @t73 tptp.xl)) % 16.53/16.73 (define @t78 () (tptp.sdtlseqdt0 tptp.xp tptp.xq)) % 16.53/16.73 (define @t79 () (tptp.sdtmndt0 tptp.xq tptp.xp)) % 16.53/16.73 (define @t80 () (= tptp.xr @t79)) % 16.53/16.73 (define @t81 () (tptp.sdtasdt0 tptp.xl tptp.xp)) % 16.53/16.73 (define @t82 () (tptp.sdtpldt0 @t81 tptp.xn)) % 16.53/16.73 (define @t83 () (tptp.sdtasdt0 tptp.xl tptp.xr)) % 16.53/16.73 (define @t84 () (tptp.sdtpldt0 @t81 @t83)) % 16.53/16.73 (define @t85 () (= @t84 @t82)) % 16.53/16.73 (define @t86 () (= tptp.xn @t83)) % 16.53/16.73 (define @t87 () (not @t86)) % 16.53/16.73 (define @t88 () (tptp.sdtmndt0 @t77 @t76)) % 16.53/16.73 (define @t89 () (tptp.sdtasdt0 tptp.xl @t88)) % 16.53/16.73 (define @t90 () (tptp.sdtasdt0 tptp.xl @t76)) % 16.53/16.73 (define @t91 () (tptp.sdtpldt0 @t90 @t89)) % 16.53/16.73 (define @t92 () (tptp.sdtpldt0 @t90 tptp.xn)) % 16.53/16.73 (define @t93 () (@var "BOUND_VARIABLE_7942" $$unsorted)) % 16.53/16.73 (define @t94 () (and (tptp.aNaturalNumber0 @t93) (= @t5 (tptp.sdtasdt0 @t1 @t93)))) % 16.53/16.73 (define @t95 () (= @t94 (= @t93 @t62))) % 16.53/16.73 (define @t96 () (not @t61)) % 16.53/16.73 (define @t97 () (not @t8)) % 16.53/16.73 (define @t98 () (not @t2)) % 16.53/16.73 (define @t99 () (or @t98 @t97 @t42 @t96 @t95)) % 16.53/16.73 (define @t100 () (@list @t1 @t5 @t93)) % 16.53/16.73 (define @t101 () (forall @t100 @t99)) % 16.53/16.73 (define @t102 () (@list @t93)) % 16.53/16.73 (define @t103 () (forall @t102 @t99)) % 16.53/16.73 (define @t104 () (forall @t102 @t95)) % 16.53/16.73 (define @t105 () (@list @t16)) % 16.53/16.73 (define @t106 () (or @t98 @t97 @t42 @t96 @t104)) % 16.53/16.73 (define @t107 () (forall @t46 (= @t60 @t63))) % 16.53/16.73 (define @t108 () (or @t98 @t97 @t42 @t96 @t107)) % 16.53/16.73 (define @t109 () (or @t42 @t96 @t107)) % 16.53/16.73 (define @t110 () (or @t98 @t97)) % 16.53/16.73 (define @t111 () (=> @t65 @t107)) % 16.53/16.73 (define @t112 () (not @t9)) % 16.53/16.73 (define @t113 () (= tptp.xm @t90)) % 16.53/16.73 (define @t114 () (tptp.aNaturalNumber0 @t76)) % 16.53/16.73 (define @t115 () (and @t114 @t113)) % 16.53/16.73 (define @t116 () (= @t76 @t76)) % 16.53/16.73 (define @t117 () (not @t74)) % 16.53/16.73 (define @t118 () (not @t71)) % 16.53/16.73 (define @t119 () (not @t72)) % 16.53/16.73 (define @t120 () (or @t119 @t118 @t75 @t117 (= @t115 @t116))) % 16.53/16.73 (define @t121 () (forall @t100 (or @t98 @t97 @t42 @t96 (= @t94 (= @t62 @t93))))) % 16.53/16.73 (define @t122 () (= tptp.sz00 tptp.xl)) % 16.53/16.73 (define @t123 () (or @t119 @t118 @t122 @t117 @t115)) % 16.53/16.73 (define @t124 () (@list false)) % 16.53/16.73 (define @t125 () (@list @t121)) % 16.53/16.73 (define @t126 () (@list true false false false false)) % 16.53/16.73 (define @t127 () (not @t115)) % 16.53/16.73 (define @t128 () (@list @t115)) % 16.53/16.73 (define @t129 () (@list tptp.sz10 @t89)) % 16.53/16.73 (define @t130 () (tptp.sdtasdt0 tptp.sz10 @t88)) % 16.53/16.73 (define @t131 () (@list tptp.sz10 @t88)) % 16.53/16.73 (define @t132 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 16.53/16.73 (define @t133 () (= @t48 @t132)) % 16.53/16.73 (define @t134 () (and (tptp.aNaturalNumber0 @t132) (= @t5 (tptp.sdtpldt0 @t1 @t132)))) % 16.53/16.73 (define @t135 () (= (= @t132 @t48) @t134)) % 16.53/16.73 (define @t136 () (not @t47)) % 16.53/16.73 (define @t137 () (or @t98 @t97 @t136 @t135)) % 16.53/16.73 (define @t138 () (@list @t1 @t5 @t132)) % 16.53/16.73 (define @t139 () (forall @t138 @t137)) % 16.53/16.73 (define @t140 () (@list @t132)) % 16.53/16.73 (define @t141 () (forall @t140 @t137)) % 16.53/16.73 (define @t142 () (forall @t140 @t135)) % 16.53/16.73 (define @t143 () (or @t98 @t97 @t136 @t142)) % 16.53/16.73 (define @t144 () (and @t18 (= @t5 @t34))) % 16.53/16.73 (define @t145 () (forall @t46 (= @t49 @t144))) % 16.53/16.73 (define @t146 () (or @t98 @t97 @t136 @t145)) % 16.53/16.73 (define @t147 () (=> @t47 @t145)) % 16.53/16.73 (define @t148 () (tptp.sdtasdt0 tptp.sz10 @t77)) % 16.53/16.73 (define @t149 () (tptp.sdtmndt0 @t148 @t76)) % 16.53/16.73 (define @t150 () (tptp.aNaturalNumber0 @t88)) % 16.53/16.73 (define @t151 () (and @t150 (= @t148 (tptp.sdtpldt0 @t76 @t88)))) % 16.53/16.73 (define @t152 () (= @t151 (= @t149 @t88))) % 16.53/16.73 (define @t153 () (tptp.sdtlseqdt0 @t76 @t148)) % 16.53/16.73 (define @t154 () (not @t153)) % 16.53/16.73 (define @t155 () (tptp.aNaturalNumber0 @t148)) % 16.53/16.73 (define @t156 () (not @t155)) % 16.53/16.73 (define @t157 () (not @t114)) % 16.53/16.73 (define @t158 () (or @t157 @t156 @t154 @t152)) % 16.53/16.73 (define @t159 () (forall @t138 (or @t98 @t97 @t136 (= @t134 @t133)))) % 16.53/16.73 (define @t160 () (= @t88 @t149)) % 16.53/16.73 (define @t161 () (= @t151 @t160)) % 16.53/16.73 (define @t162 () (or @t157 @t156 @t154 @t161)) % 16.53/16.73 (define @t163 () (and (= @t1 @t25) @t24)) % 16.53/16.73 (define @t164 () (tptp.sdtasdt0 tptp.sz10 @t73)) % 16.53/16.73 (define @t165 () (tptp.sdtsldt0 @t164 tptp.xl)) % 16.53/16.73 (define @t166 () (tptp.aNaturalNumber0 @t77)) % 16.53/16.73 (define @t167 () (and @t166 (= @t164 (tptp.sdtasdt0 tptp.xl @t77)))) % 16.53/16.73 (define @t168 () (= @t167 (= @t165 @t77))) % 16.53/16.73 (define @t169 () (tptp.doDivides0 tptp.xl @t164)) % 16.53/16.73 (define @t170 () (not @t169)) % 16.53/16.73 (define @t171 () (tptp.aNaturalNumber0 @t164)) % 16.53/16.73 (define @t172 () (not @t171)) % 16.53/16.73 (define @t173 () (or @t119 @t172 @t75 @t170 @t168)) % 16.53/16.73 (define @t174 () (= @t77 @t165)) % 16.53/16.73 (define @t175 () (= @t167 @t174)) % 16.53/16.73 (define @t176 () (or @t119 @t172 @t122 @t170 @t175)) % 16.53/16.73 (define @t177 () (tptp.aNaturalNumber0 @t73)) % 16.53/16.73 (define @t178 () (not @t70)) % 16.53/16.73 (define @t179 () (or @t118 @t178 @t177)) % 16.53/16.73 (define @t180 () (@list false false false)) % 16.53/16.73 (define @t181 () (tptp.sdtasdt0 @t73 tptp.sz10)) % 16.53/16.73 (define @t182 () (= @t73 @t181)) % 16.53/16.73 (define @t183 () (and @t182 (= @t73 @t164))) % 16.53/16.73 (define @t184 () (not @t177)) % 16.53/16.73 (define @t185 () (or @t184 @t183)) % 16.53/16.73 (define @t186 () (@list false false)) % 16.53/16.73 (define @t187 () (@list tptp.sz10 @t73)) % 16.53/16.73 (define @t188 () (= @t164 @t181)) % 16.53/16.73 (define @t189 () (not @t4)) % 16.53/16.73 (define @t190 () (or @t189 @t184 @t188)) % 16.53/16.73 (define @t191 () (or @t189 @t184 @t171)) % 16.53/16.73 (define @t192 () (tptp.sdtasdt0 @t77 tptp.sz10)) % 16.53/16.73 (define @t193 () (= @t77 @t192)) % 16.53/16.73 (define @t194 () (and @t193 (= @t77 @t148))) % 16.53/16.73 (define @t195 () (not @t166)) % 16.53/16.73 (define @t196 () (or @t195 @t194)) % 16.53/16.73 (define @t197 () (@list tptp.sz10 @t77)) % 16.53/16.73 (define @t198 () (= @t148 @t192)) % 16.53/16.73 (define @t199 () (or @t189 @t195 @t198)) % 16.53/16.73 (define @t200 () (or @t189 @t195 @t155)) % 16.53/16.73 (define @t201 () (tptp.aNaturalNumber0 @t130)) % 16.53/16.73 (define @t202 () (not @t150)) % 16.53/16.73 (define @t203 () (or @t189 @t202 @t201)) % 16.53/16.73 (define @t204 () (tptp.sdtasdt0 tptp.xl @t130)) % 16.53/16.73 (define @t205 () (tptp.aNaturalNumber0 @t204)) % 16.53/16.73 (define @t206 () (not @t201)) % 16.53/16.73 (define @t207 () (or @t119 @t206 @t205)) % 16.53/16.73 (define @t208 () (tptp.sdtasdt0 @t88 tptp.sz10)) % 16.53/16.73 (define @t209 () (= @t130 @t208)) % 16.53/16.73 (define @t210 () (or @t189 @t202 @t209)) % 16.53/16.73 (define @t211 () (= @t88 @t208)) % 16.53/16.73 (define @t212 () (and @t211 (= @t88 @t130))) % 16.53/16.73 (define @t213 () (or @t202 @t212)) % 16.53/16.73 (define @t214 () (not @t205)) % 16.53/16.73 (define @t215 () (tptp.aNaturalNumber0 @t89)) % 16.53/16.73 (define @t216 () (not @t209)) % 16.53/16.73 (define @t217 () (not @t211)) % 16.53/16.73 (define @t218 () (not @t215)) % 16.53/16.73 (define @t219 () (and @t211 @t209 @t218)) % 16.53/16.73 (define @t220 () (tptp.sdtasdt0 @t89 tptp.sz10)) % 16.53/16.73 (define @t221 () (tptp.sdtasdt0 tptp.sz10 @t89)) % 16.53/16.73 (define @t222 () (= @t221 @t220)) % 16.53/16.73 (define @t223 () (or @t189 @t218 @t222)) % 16.53/16.73 (define @t224 () (= @t89 @t220)) % 16.53/16.73 (define @t225 () (and @t224 (= @t89 @t221))) % 16.53/16.73 (define @t226 () (or @t218 @t225)) % 16.53/16.73 (define @t227 () (and (not @t35) (not @t33))) % 16.53/16.73 (define @t228 () (not @t18)) % 16.53/16.73 (define @t229 () (or @t98 @t97 @t228)) % 16.53/16.73 (define @t230 () (= tptp.xn @t221)) % 16.53/16.73 (define @t231 () (not @t230)) % 16.53/16.73 (define @t232 () (not @t224)) % 16.53/16.73 (define @t233 () (not @t222)) % 16.53/16.73 (define @t234 () (= tptp.xn @t89)) % 16.53/16.73 (define @t235 () (not @t234)) % 16.53/16.73 (define @t236 () (and @t235 @t222 @t224)) % 16.53/16.73 (define @t237 () (tptp.aNaturalNumber0 @t221)) % 16.53/16.73 (define @t238 () (or @t189 @t218 @t237)) % 16.53/16.73 (define @t239 () (= @t73 (tptp.sdtpldt0 tptp.xm @t221))) % 16.53/16.73 (define @t240 () (not @t239)) % 16.53/16.73 (define @t241 () (and @t240 (not (= (tptp.sdtpldt0 tptp.xn tptp.xm) (tptp.sdtpldt0 @t221 tptp.xm))))) % 16.53/16.73 (define @t242 () (not @t237)) % 16.53/16.73 (define @t243 () (or @t118 @t178 @t242 @t241 @t230)) % 16.53/16.73 (define @t244 () (not @t113)) % 16.53/16.73 (define @t245 () (= @t92 @t91)) % 16.53/16.73 (define @t246 () (not @t245)) % 16.53/16.73 (define @t247 () (and @t239 @t240)) % 16.53/16.73 (assume @p1 (forall @t3 (=> @t2 true))) % 16.53/16.73 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 16.53/16.73 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 16.53/16.73 (assume @p4 @t11) % 16.53/16.73 (assume @p5 @t14) % 16.53/16.73 (assume @p6 (forall @t10 (=> @t9 (= @t6 @t15)))) % 16.53/16.73 (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t6 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 16.53/16.73 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 16.53/16.73 (assume @p9 @t23) % 16.53/16.73 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t16)))))) % 16.53/16.73 (assume @p11 @t28) % 16.53/16.73 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 16.53/16.73 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t30)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t21 @t29)))))) % 16.53/16.73 (assume @p14 @t38) % 16.53/16.73 (assume @p15 (forall @t3 (=> @t2 (=> @t43 (forall (@list @t5 @t16) (=> @t41 (=> (or @t40 @t39) @t31))))))) % 16.53/16.73 (assume @p16 (forall @t10 (=> @t9 (=> (= @t6 tptp.sz00) (and @t42 @t44))))) % 16.53/16.73 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t42 @t44))))) % 16.53/16.73 (assume @p18 (forall @t10 (=> @t9 (= @t47 (exists @t46 @t45))))) % 16.53/16.73 (assume @p19 @t53) % 16.53/16.73 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.53/16.73 (assume @p21 (forall @t10 (=> @t9 (=> (and @t47 @t55) @t54)))) % 16.53/16.73 (assume @p22 (forall @t20 (=> @t19 (=> (and @t47 @t56) (tptp.sdtlseqdt0 @t1 @t16))))) % 16.53/16.73 (assume @p23 (forall @t10 (=> @t9 (or @t47 (and (not (= @t5 @t1)) @t55))))) % 16.53/16.73 (assume @p24 (forall @t10 (=> @t9 (=> @t58 (forall @t46 (=> @t18 (and (not (= @t32 @t57)) (tptp.sdtlseqdt0 @t32 @t57) (not (= @t34 @t17)) (tptp.sdtlseqdt0 @t34 @t17)))))))) % 16.53/16.73 (assume @p25 (forall @t20 (=> @t19 (=> (and @t43 (not @t31) @t56) (and (not @t40) (tptp.sdtlseqdt0 @t12 @t30) (not @t39) (tptp.sdtlseqdt0 @t21 @t29)))))) % 16.53/16.73 (assume @p26 (forall @t3 (=> @t2 (or @t42 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 16.53/16.73 (assume @p27 (forall @t10 (=> @t9 (=> @t43 (tptp.sdtlseqdt0 @t5 @t21))))) % 16.53/16.73 (assume @p28 (forall @t10 (=> @t9 (=> @t59 true)))) % 16.53/16.73 (assume @p29 (forall @t10 (=> @t9 (=> @t58 @t59)))) % 16.53/16.73 (assume @p30 (forall @t10 (=> @t9 (= @t61 (exists @t46 @t60))))) % 16.53/16.73 (assume @p31 @t68) % 16.53/16.73 (assume @p32 (forall @t20 (=> @t19 (=> (and @t61 (tptp.doDivides0 @t5 @t16)) @t69)))) % 16.53/16.73 (assume @p33 (forall @t20 (=> @t19 (=> (and @t61 @t69) (tptp.doDivides0 @t1 @t17))))) % 16.53/16.73 (assume @p34 (and @t72 @t71 @t70)) % 16.53/16.73 (assume @p35 (and @t74 (tptp.doDivides0 tptp.xl @t73))) % 16.53/16.73 (assume @p36 (not @t75)) % 16.53/16.73 (assume @p37 (= tptp.xp @t76)) % 16.53/16.73 (assume @p38 (= tptp.xq @t77)) % 16.53/16.73 (assume @p39 @t78) % 16.53/16.73 (assume @p40 @t80) % 16.53/16.73 (assume @p41 @t85) % 16.53/16.73 (assume @p42 @t87) % 16.53/16.73 (assume @p43 true) % 16.53/16.73 (step @p44 :rule eq-symm :args (@t91 @t92)) % 16.53/16.73 (step @p45 :rule refl :args (tptp.xn)) % 16.53/16.73 (step @p46 :rule refl :args (tptp.xl)) % 16.53/16.73 (step @p47 :rule cong :premises (@p46 @p37) :args (@t81)) % 16.53/16.73 (step @p48 :rule cong :premises (@p47 @p45) :args (@t82)) % 16.53/16.73 (step @p49 :rule cong :premises (@p38 @p37) :args (@t79)) % 16.53/16.73 (step @p50 :rule refl :args (tptp.xr)) % 16.53/16.73 (step @p51 :rule cong :premises (@p50 @p49) :args (@t80)) % 16.53/16.73 (step @p52 :rule eq_resolve :premises (@p40 @p51)) % 16.53/16.73 (step @p53 :rule cong :premises (@p46 @p52) :args (@t83)) % 16.53/16.73 (step @p54 :rule cong :premises (@p47 @p53) :args (@t84)) % 16.53/16.73 (step @p55 :rule cong :premises (@p54 @p48) :args (@t85)) % 16.53/16.73 (step @p56 :rule trans :premises (@p55 @p44)) % 16.53/16.73 (step @p57 :rule eq_resolve :premises (@p41 @p56)) % 16.53/16.73 (step @p58 :rule eq-symm :args (@t93 @t62)) % 16.53/16.73 (step @p59 :rule refl :args (@t94)) % 16.53/16.73 (step @p60 :rule cong :premises (@p59 @p58) :args (@t95)) % 16.53/16.73 (step @p61 :rule refl :args (@t96)) % 16.53/16.73 (step @p62 :rule refl :args (@t42)) % 16.53/16.73 (step @p63 :rule refl :args (@t97)) % 16.53/16.73 (step @p64 :rule refl :args (@t98)) % 16.53/16.73 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60) :args (@t99)) % 16.53/16.73 (step @p66 :rule cong :premises (@p65) :args (@t101)) % 16.53/16.73 (step @p67 :rule quant-merge-prenex :args ((= (forall @t10 @t103) @t101))) % 16.53/16.73 (step @p68 :rule alpha_equiv :args (@t104 (@list @t93) @t105)) % 16.53/16.73 (step @p69 :rule refl :args (@t96)) % 16.53/16.73 (step @p70 :rule refl :args (@t42)) % 16.53/16.73 (step @p71 :rule refl :args (@t97)) % 16.53/16.73 (step @p72 :rule refl :args (@t98)) % 16.53/16.73 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69 @p68) :args (@t106)) % 16.53/16.73 (step @p74 :rule quant-miniscope-or :args ((= @t103 @t106))) % 16.53/16.73 (step @p75 :rule trans :premises (@p74 @p73)) % 16.53/16.73 (step @p76 :rule symm :premises (@p75)) % 16.53/16.73 (step @p77 :rule cong :premises (@p76) :args ((forall @t10 @t108))) % 16.53/16.73 (step @p78 :rule trans :premises (@p77 @p67)) % 16.53/16.73 (step @p79 :rule trans :premises (@p78 @p66)) % 16.53/16.73 (step @p80 :rule aci_norm :args ((= (or @t110 @t109) @t108))) % 16.53/16.73 (step @p81 :rule aci_norm :args ((= (or (or @t42 @t96) @t107) @t109))) % 16.53/16.73 (step @p82 :rule refl :args (@t107)) % 16.53/16.73 (step @p83 :rule bool-double-not-elim :args (@t42)) % 16.53/16.73 (step @p84 :rule nary_cong :premises (@p83 @p69) :args ((or (not @t43) @t96))) % 16.53/16.73 (step @p85 :rule bool-and-de-morgan :args (@t43 @t61 true)) % 16.53/16.73 (step @p86 :rule trans :premises (@p85 @p84)) % 16.53/16.73 (step @p87 :rule nary_cong :premises (@p86 @p82) :args ((or (not @t65) @t107))) % 16.53/16.73 (step @p88 :rule trans :premises (@p87 @p81)) % 16.53/16.73 (step @p89 :rule bool-impl-elim :args (@t65 @t107)) % 16.53/16.73 (step @p90 :rule trans :premises (@p89 @p88)) % 16.53/16.73 (step @p91 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 16.53/16.73 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t112 @t111))) % 16.53/16.73 (step @p93 :rule trans :premises (@p92 @p80)) % 16.53/16.73 (step @p94 :rule bool-impl-elim :args (@t9 @t111)) % 16.53/16.73 (step @p95 :rule trans :premises (@p94 @p93)) % 16.53/16.73 (step @p96 :rule cong :premises (@p95) :args ((forall @t10 (=> @t9 @t111)))) % 16.53/16.73 (step @p97 :rule trans :premises (@p96 @p79)) % 16.53/16.73 (step @p98 :rule eq-symm :args (@t63 @t60)) % 16.53/16.73 (step @p99 :rule cong :premises (@p98) :args (@t64)) % 16.53/16.73 (step @p100 :rule refl :args (@t65)) % 16.53/16.73 (step @p101 :rule cong :premises (@p100 @p99) :args (@t66)) % 16.53/16.73 (step @p102 :rule refl :args (@t9)) % 16.53/16.73 (step @p103 :rule cong :premises (@p102 @p101) :args (@t67)) % 16.53/16.73 (step @p104 :rule cong :premises (@p103) :args (@t68)) % 16.53/16.73 (step @p105 :rule trans :premises (@p104 @p97)) % 16.53/16.73 (step @p106 :rule eq_resolve :premises (@p31 @p105)) % 16.53/16.73 (step @p107 :rule bool-eq-true :args (@t115)) % 16.53/16.73 (step @p108 :rule eq-symm :args (true @t115)) % 16.53/16.73 (step @p109 :rule trans :premises (@p108 @p107)) % 16.53/16.73 (step @p110 :rule refl :args (@t115)) % 16.53/16.73 (step @p111 :rule eq-refl :args (@t76)) % 16.53/16.73 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t116 @t115))) % 16.53/16.73 (step @p113 :rule trans :premises (@p112 @p109)) % 16.53/16.73 (step @p114 :rule eq-symm :args (@t115 @t116)) % 16.53/16.73 (step @p115 :rule trans :premises (@p114 @p113)) % 16.53/16.73 (step @p116 :rule refl :args (@t117)) % 16.53/16.73 (step @p117 :rule eq-symm :args (tptp.xl tptp.sz00)) % 16.53/16.73 (step @p118 :rule refl :args (@t118)) % 16.53/16.73 (step @p119 :rule refl :args (@t119)) % 16.53/16.73 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t120)) % 16.53/16.73 (step @p121 :rule refl :args (@t121)) % 16.53/16.73 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t121 @t120))) % 16.53/16.73 (assume-push @p501 @t121) % 16.53/16.73 (step @p124 :rule instantiate :premises (@p106) :args ((@list tptp.xl tptp.xm @t76))) % 16.53/16.73 (step-pop @p502 :rule scope :premises (@p124)) % 16.53/16.73 (step @p125 :rule process_scope :premises (@p502) :args (@t120)) % 16.53/16.73 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 16.53/16.73 (step @p128 :rule implies_elim :premises (@p127)) % 16.53/16.73 (step @p129 :rule chain_m_resolution :premises (@p128 @p106) :args (@t123 @t124 @t125)) % 16.53/16.73 (step @p130 :rule and_elim :premises (@p35) :args (0)) % 16.53/16.73 (step @p131 :rule and_elim :premises (@p34) :args (1)) % 16.53/16.73 (step @p132 :rule and_elim :premises (@p34) :args (0)) % 16.53/16.73 (step @p133 :rule symm :premises (@p36)) % 16.53/16.73 (step @p134 :rule cnf_or_pos :args (@t123)) % 16.53/16.73 (step @p135 :rule reordering :premises (@p134) :args ((or @t122 @t119 @t118 @t117 @t115 (not @t123)))) % 16.53/16.73 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p132 @p131 @p130 @p129) :args (@t115 @t126 (@list @t122 @t72 @t71 @t74 @t123))) % 16.53/16.73 (step @p137 :rule cnf_and_pos :args (@t115 1)) % 16.53/16.73 (step @p138 :rule reordering :premises (@p137) :args ((or @t113 @t127))) % 16.53/16.73 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t113 @t124 @t128)) % 16.53/16.73 (step @p140 :rule aci_norm :args ((= (or @t110 @t22) (or @t98 @t97 @t22)))) % 16.53/16.73 (step @p141 :rule refl :args (@t22)) % 16.53/16.73 (step @p142 :rule nary_cong :premises (@p91 @p141) :args ((or @t112 @t22))) % 16.53/16.73 (step @p143 :rule trans :premises (@p142 @p140)) % 16.53/16.73 (step @p144 :rule bool-impl-elim :args (@t9 @t22)) % 16.53/16.73 (step @p145 :rule trans :premises (@p144 @p143)) % 16.53/16.73 (step @p146 :rule cong :premises (@p145) :args (@t23)) % 16.53/16.73 (step @p147 :rule eq_resolve :premises (@p9 @p146)) % 16.53/16.73 (step @p148 :rule instantiate :premises (@p147) :args (@t129)) % 16.53/16.73 (step @p149 :rule aci_norm :args ((= (or @t110 @t13) (or @t98 @t97 @t13)))) % 16.53/16.73 (step @p150 :rule refl :args (@t13)) % 16.53/16.73 (step @p151 :rule nary_cong :premises (@p91 @p150) :args ((or @t112 @t13))) % 16.53/16.73 (step @p152 :rule trans :premises (@p151 @p149)) % 16.53/16.73 (step @p153 :rule bool-impl-elim :args (@t9 @t13)) % 16.53/16.73 (step @p154 :rule trans :premises (@p153 @p152)) % 16.53/16.73 (step @p155 :rule cong :premises (@p154) :args (@t14)) % 16.53/16.73 (step @p156 :rule eq_resolve :premises (@p5 @p155)) % 16.53/16.73 (step @p157 :rule instantiate :premises (@p156) :args ((@list tptp.xl @t130))) % 16.53/16.73 (step @p158 :rule instantiate :premises (@p156) :args (@t131)) % 16.53/16.73 (step @p159 :rule eq-symm :args (@t133 @t134)) % 16.53/16.73 (step @p160 :rule refl :args (@t134)) % 16.53/16.73 (step @p161 :rule eq-symm :args (@t132 @t48)) % 16.53/16.73 (step @p162 :rule cong :premises (@p161 @p160) :args (@t135)) % 16.53/16.73 (step @p163 :rule trans :premises (@p162 @p159)) % 16.53/16.73 (step @p164 :rule refl :args (@t136)) % 16.53/16.73 (step @p165 :rule nary_cong :premises (@p64 @p63 @p164 @p163) :args (@t137)) % 16.53/16.73 (step @p166 :rule cong :premises (@p165) :args (@t139)) % 16.53/16.73 (step @p167 :rule quant-merge-prenex :args ((= (forall @t10 @t141) @t139))) % 16.53/16.73 (step @p168 :rule alpha_equiv :args (@t142 (@list @t132) @t105)) % 16.53/16.73 (step @p169 :rule refl :args (@t136)) % 16.53/16.73 (step @p170 :rule nary_cong :premises (@p72 @p71 @p169 @p168) :args (@t143)) % 16.53/16.73 (step @p171 :rule quant-miniscope-or :args ((= @t141 @t143))) % 16.53/16.73 (step @p172 :rule trans :premises (@p171 @p170)) % 16.53/16.73 (step @p173 :rule symm :premises (@p172)) % 16.53/16.73 (step @p174 :rule cong :premises (@p173) :args ((forall @t10 @t146))) % 16.53/16.73 (step @p175 :rule trans :premises (@p174 @p167)) % 16.53/16.73 (step @p176 :rule trans :premises (@p175 @p166)) % 16.53/16.73 (step @p177 :rule aci_norm :args ((= (or @t110 (or @t136 @t145)) @t146))) % 16.53/16.73 (step @p178 :rule bool-impl-elim :args (@t47 @t145)) % 16.53/16.73 (step @p179 :rule nary_cong :premises (@p91 @p178) :args ((or @t112 @t147))) % 16.53/16.73 (step @p180 :rule trans :premises (@p179 @p177)) % 16.53/16.73 (step @p181 :rule bool-impl-elim :args (@t9 @t147)) % 16.53/16.73 (step @p182 :rule trans :premises (@p181 @p180)) % 16.53/16.73 (step @p183 :rule cong :premises (@p182) :args ((forall @t10 (=> @t9 @t147)))) % 16.53/16.73 (step @p184 :rule trans :premises (@p183 @p176)) % 16.53/16.73 (step @p185 :rule eq-symm :args (@t144 @t49)) % 16.53/16.73 (step @p186 :rule refl :args (@t49)) % 16.53/16.73 (step @p187 :rule eq-symm :args (@t34 @t5)) % 16.53/16.73 (step @p188 :rule refl :args (@t18)) % 16.53/16.73 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t45)) % 16.53/16.73 (step @p190 :rule cong :premises (@p189 @p186) :args ((= @t45 @t49))) % 16.53/16.73 (step @p191 :rule trans :premises (@p190 @p185)) % 16.53/16.73 (step @p192 :rule eq-symm :args (@t49 @t45)) % 16.53/16.73 (step @p193 :rule trans :premises (@p192 @p191)) % 16.53/16.73 (step @p194 :rule cong :premises (@p193) :args (@t50)) % 16.53/16.73 (step @p195 :rule refl :args (@t47)) % 16.53/16.73 (step @p196 :rule cong :premises (@p195 @p194) :args (@t51)) % 16.53/16.73 (step @p197 :rule cong :premises (@p102 @p196) :args (@t52)) % 16.53/16.73 (step @p198 :rule cong :premises (@p197) :args (@t53)) % 16.53/16.73 (step @p199 :rule trans :premises (@p198 @p184)) % 16.53/16.73 (step @p200 :rule eq_resolve :premises (@p19 @p199)) % 16.53/16.73 (step @p201 :rule eq-symm :args (@t149 @t88)) % 16.53/16.73 (step @p202 :rule refl :args (@t151)) % 16.53/16.73 (step @p203 :rule cong :premises (@p202 @p201) :args (@t152)) % 16.53/16.73 (step @p204 :rule refl :args (@t154)) % 16.53/16.73 (step @p205 :rule refl :args (@t156)) % 16.53/16.73 (step @p206 :rule refl :args (@t157)) % 16.53/16.73 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203) :args (@t158)) % 16.53/16.73 (step @p208 :rule refl :args (@t159)) % 16.53/16.73 (step @p209 :rule cong :premises (@p208 @p207) :args ((=> @t159 @t158))) % 16.53/16.73 (assume-push @p503 @t159) % 16.53/16.73 (step @p211 :rule instantiate :premises (@p200) :args ((@list @t76 @t148 @t88))) % 16.53/16.73 (step-pop @p504 :rule scope :premises (@p211)) % 16.53/16.73 (step @p212 :rule process_scope :premises (@p504) :args (@t158)) % 16.53/16.73 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 16.53/16.73 (step @p215 :rule implies_elim :premises (@p214)) % 16.53/16.73 (step @p216 :rule chain_m_resolution :premises (@p215 @p200) :args (@t162 @t124 (@list @t159))) % 16.53/16.73 (step @p217 :rule cong :premises (@p37 @p38) :args (@t78)) % 16.53/16.73 (step @p218 :rule eq_resolve :premises (@p39 @p217)) % 16.53/16.73 (step @p219 :rule true_intro :premises (@p218)) % 16.53/16.73 (step @p220 :rule bool-impl-elim :args (@t2 @t163)) % 16.53/16.73 (step @p221 :rule cong :premises (@p220) :args ((forall @t3 (=> @t2 @t163)))) % 16.53/16.73 (step @p222 :rule refl :args (@t24)) % 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16.53/16.73 (step @p413 :rule bool-double-not-elim :args (@t234)) % 16.53/16.73 (step @p414 :rule nary_cong :premises (@p413 @p412 @p411 @p410) :args ((or (not @t235) @t233 @t232 @t231))) % 16.53/16.73 (assume-push @p519 @t235) % 16.53/16.73 (assume-push @p520 @t222) % 16.53/16.73 (assume-push @p521 @t224) % 16.53/16.73 (assume-push @p522 @t235) % 16.53/16.73 (assume-push @p523 @t224) % 16.53/16.73 (assume-push @p524 @t222) % 16.53/16.73 (step @p421 :rule false_intro :premises (@p409)) % 16.53/16.73 (step @p422 :rule symm :premises (@p521)) % 16.53/16.73 (step @p423 :rule trans :premises (@p520 @p422)) % 16.53/16.73 (step @p424 :rule cong :premises (@p45 @p423) :args (@t230)) % 16.53/16.73 (step @p425 :rule trans :premises (@p424 @p421)) % 16.53/16.73 (step @p426 :rule false_elim :premises (@p425)) % 16.53/16.73 (step-pop @p525 :rule scope :premises (@p426)) % 16.53/16.73 (step-pop @p526 :rule scope :premises (@p525)) % 16.53/16.73 (step-pop @p527 :rule scope :premises (@p526)) % 16.53/16.73 (step @p427 :rule process_scope :premises (@p527) :args (@t231)) % 16.53/16.73 (step @p431 :rule and_intro :premises (@p409 @p521 @p520)) % 16.53/16.73 (step @p432 :rule modus_ponens :premises (@p431 @p427)) % 16.53/16.73 (step-pop @p528 :rule scope :premises (@p432)) % 16.53/16.73 (step-pop @p529 :rule scope :premises (@p528)) % 16.53/16.73 (step-pop @p530 :rule scope :premises (@p529)) % 16.53/16.73 (step @p433 :rule process_scope :premises (@p530) :args (@t231)) % 16.53/16.74 (step @p437 :rule implies_elim :premises (@p433)) % 16.53/16.74 (step @p438 :rule cnf_and_neg :args (@t236)) % 16.53/16.74 (step @p439 :rule resolution :premises (@p438 @p437) :args (true @t236)) % 16.53/16.74 (step @p440 :rule eq_resolve :premises (@p439 @p414)) % 16.53/16.74 (step @p441 :rule chain_m_resolution :premises (@p440 @p409 @p380 @p387) :args (@t231 (@list true false false) (@list @t234 @t222 @t224))) % 16.53/16.74 (step @p442 :rule instantiate :premises (@p156) :args (@t129)) % 16.53/16.74 (step @p443 :rule cnf_or_pos :args (@t238)) % 16.53/16.74 (step @p444 :rule reordering :premises (@p443) :args ((or @t189 @t218 @t237 (not @t238)))) % 16.53/16.74 (step @p445 :rule chain_m_resolution :premises (@p444 @p269 @p377 @p442) :args (@t237 @t180 (@list @t4 @t215 @t238))) % 16.53/16.74 (step @p446 :rule cnf_or_pos :args (@t243)) % 16.53/16.74 (step @p447 :rule reordering :premises (@p446) :args ((or @t118 @t178 @t242 @t230 @t241 (not @t243)))) % 16.53/16.74 (step @p448 :rule chain_m_resolution :premises (@p447 @p131 @p257 @p445 @p441 @p406) :args (@t241 (@list false false false true false) (@list @t71 @t70 @t237 @t230 @t243))) % 16.53/16.74 (step @p449 :rule cnf_and_pos :args (@t241 0)) % 16.53/16.74 (step @p450 :rule reordering :premises (@p449) :args ((or @t240 (not @t241)))) % 16.53/16.74 (step @p451 :rule chain_m_resolution :premises (@p450 @p448) :args (@t240 @t124 (@list @t241))) % 16.53/16.74 (step @p452 :rule bool-double-not-elim :args (@t239)) % 16.53/16.74 (step @p453 :rule refl :args (@t244)) % 16.53/16.74 (step @p454 :rule refl :args (@t246)) % 16.53/16.74 (step @p455 :rule nary_cong :premises (@p454 @p412 @p411 @p453 @p452) :args ((or @t246 @t233 @t232 @t244 (not @t240)))) % 16.53/16.74 (assume-push @p531 @t239) % 16.53/16.74 (assume-push @p532 @t240) % 16.53/16.74 (step @p458 :rule evaluate :args ((= true false))) % 16.53/16.74 (step @p459 :rule false_intro :premises (@p532)) % 16.53/16.74 (step @p460 :rule true_intro :premises (@p531)) % 16.53/16.74 (step @p461 :rule symm :premises (@p460)) % 16.53/16.74 (step @p462 :rule trans :premises (@p461 @p459)) % 16.53/16.74 (step @p463 false :rule eq_resolve :premises (@p462 @p458)) % 16.53/16.74 (step-pop @p533 :rule scope :premises (@p463)) % 16.53/16.74 (step-pop @p534 :rule scope :premises (@p533)) % 16.53/16.74 (step @p464 :rule process_scope :premises (@p534) :args (false)) % 16.53/16.74 (assume-push @p535 @t245) % 16.53/16.74 (assume-push @p536 @t222) % 16.53/16.74 (assume-push @p537 @t224) % 16.53/16.74 (assume-push @p538 @t113) % 16.53/16.74 (assume-push @p539 @t240) % 16.53/16.74 (assume-push @p540 @t113) % 16.53/16.74 (assume-push @p541 @t222) % 16.53/16.74 (assume-push @p542 @t224) % 16.53/16.74 (assume-push @p543 @t245) % 16.53/16.74 (step @p476 :rule symm :premises (@p536)) % 16.53/16.74 (step @p477 :rule trans :premises (@p537 @p476)) % 16.53/16.74 (step @p478 :rule symm :premises (@p139)) % 16.53/16.74 (step @p479 :rule cong :premises (@p478 @p477) :args (@t91)) % 16.53/16.74 (step @p480 :rule cong :premises (@p139 @p45) :args (@t73)) % 16.53/16.74 (step @p481 :rule trans :premises (@p480 @p57 @p479)) % 16.53/16.74 (step-pop @p544 :rule scope :premises (@p481)) % 16.53/16.74 (step-pop @p545 :rule scope :premises (@p544)) % 16.53/16.74 (step-pop @p546 :rule scope :premises (@p545)) % 16.53/16.74 (step-pop @p547 :rule scope :premises (@p546)) % 16.53/16.74 (step @p482 :rule process_scope :premises (@p547) :args (@t239)) % 16.53/16.74 (step @p487 :rule and_intro :premises (@p139 @p536 @p537 @p57)) % 16.53/16.74 (step @p488 :rule modus_ponens :premises (@p487 @p482)) % 16.53/16.74 (step @p489 :rule and_intro :premises (@p488 @p539)) % 16.53/16.74 (step-pop @p548 :rule scope :premises (@p489)) % 16.53/16.74 (step-pop @p549 :rule scope :premises (@p548)) % 16.53/16.74 (step-pop @p550 :rule scope :premises (@p549)) % 16.53/16.74 (step-pop @p551 :rule scope :premises (@p550)) % 16.53/16.74 (step-pop @p552 :rule scope :premises (@p551)) % 16.53/16.74 (step @p490 :rule process_scope :premises (@p552) :args (@t247)) % 16.53/16.74 (step @p496 :rule implies_elim :premises (@p490)) % 16.53/16.74 (step @p497 :rule resolution :premises (@p496 @p464) :args (true @t247)) % 16.53/16.74 (step @p498 :rule not_and :premises (@p497)) % 16.53/16.74 (step @p499 :rule eq_resolve :premises (@p498 @p455)) % 16.53/16.74 (step @p500 false :rule chain_m_resolution :premises (@p499 @p451 @p387 @p380 @p139 @p57) :args (false @t126 (@list @t239 @t224 @t222 @t113 @t245))) % 16.53/16.74 ) % 16.53/16.74 % SZS output end Proof % 16.53/16.74 % cvc5 exiting %------------------------------------------------------------------------------