%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET994+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:49:06 AM UTC 2026 % Result : Theorem 31.13s 31.35s % Output : Proof 31.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET994+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:21:47 EDT 2026 % 0.15/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 31.13/31.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 31.13/31.35 --- Run --no-e-matching --full-saturate-quant at 6... % 31.13/31.35 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 31.13/31.35 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 31.13/31.35 % SZS status Theorem % 31.13/31.35 % SZS output start Proof % 31.13/31.35 ( % 31.13/31.35 (declare-sort $$unsorted 0) % 31.13/31.35 (declare-const tptp.n0 $$unsorted) % 31.13/31.35 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 31.13/31.35 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 31.13/31.35 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 31.13/31.35 (declare-const tptp.n1 $$unsorted) % 31.13/31.35 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 31.13/31.35 (declare-const tptp.empty_set $$unsorted) % 31.13/31.35 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 31.13/31.35 (declare-const tptp.relation (-> $$unsorted Bool)) % 31.13/31.35 (declare-const tptp.empty (-> $$unsorted Bool)) % 31.13/31.35 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 31.13/31.35 (declare-const tptp.function (-> $$unsorted Bool)) % 31.13/31.35 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 31.13/31.35 (define @t1 () (@var "A" $$unsorted)) % 31.13/31.35 (define @t2 () (@var "B" $$unsorted)) % 31.13/31.35 (define @t3 () (tptp.in @t1 @t2)) % 31.13/31.35 (define @t4 () (@list @t1 @t2)) % 31.13/31.35 (define @t5 () (tptp.function @t1)) % 31.13/31.35 (define @t6 () (tptp.empty @t1)) % 31.13/31.35 (define @t7 () (@list @t1)) % 31.13/31.35 (define @t8 () (tptp.relation @t1)) % 31.13/31.35 (define @t9 () (tptp.element @t2 @t1)) % 31.13/31.35 (define @t10 () (@list @t2)) % 31.13/31.35 (define @t11 () (exists @t10 @t9)) % 31.13/31.35 (define @t12 () (forall @t7 @t11)) % 31.13/31.35 (define @t13 () (tptp.relation tptp.empty_set)) % 31.13/31.35 (define @t14 () (tptp.empty tptp.empty_set)) % 31.13/31.35 (define @t15 () (tptp.powerset @t1)) % 31.13/31.35 (define @t16 () (tptp.relation_dom @t1)) % 31.13/31.35 (define @t17 () (tptp.empty @t16)) % 31.13/31.35 (define @t18 () (not @t6)) % 31.13/31.35 (define @t19 () (and @t18 @t8)) % 31.13/31.35 (define @t20 () (tptp.empty @t2)) % 31.13/31.35 (define @t21 () (tptp.element @t2 @t15)) % 31.13/31.35 (define @t22 () (@var "C" $$unsorted)) % 31.13/31.35 (define @t23 () (tptp.apply @t2 @t22)) % 31.13/31.35 (define @t24 () (tptp.in @t22 @t1)) % 31.13/31.35 (define @t25 () (=> @t24 (= @t23 tptp.n0))) % 31.13/31.35 (define @t26 () (@list @t22)) % 31.13/31.35 (define @t27 () (forall @t26 @t25)) % 31.13/31.35 (define @t28 () (tptp.relation_dom @t2)) % 31.13/31.35 (define @t29 () (= @t28 @t1)) % 31.13/31.35 (define @t30 () (tptp.function @t2)) % 31.13/31.35 (define @t31 () (tptp.relation @t2)) % 31.13/31.35 (define @t32 () (and @t31 @t30 @t29 @t27)) % 31.13/31.35 (define @t33 () (exists @t10 @t32)) % 31.13/31.35 (define @t34 () (forall @t7 @t33)) % 31.13/31.35 (define @t35 () (= @t23 tptp.n1)) % 31.13/31.35 (define @t36 () (forall @t26 (=> @t24 @t35))) % 31.13/31.35 (define @t37 () (and @t31 @t30 @t29 @t36)) % 31.13/31.35 (define @t38 () (exists @t10 @t37)) % 31.13/31.35 (define @t39 () (forall @t7 @t38)) % 31.13/31.35 (define @t40 () (tptp.empty tptp.n0)) % 31.13/31.35 (define @t41 () (tptp.empty tptp.n1)) % 31.13/31.35 (define @t42 () (not @t41)) % 31.13/31.35 (define @t43 () (= @t1 tptp.empty_set)) % 31.13/31.35 (define @t44 () (= @t2 @t22)) % 31.13/31.35 (define @t45 () (tptp.relation_dom @t22)) % 31.13/31.35 (define @t46 () (and @t29 (= @t45 @t1))) % 31.13/31.35 (define @t47 () (=> @t46 @t44)) % 31.13/31.35 (define @t48 () (tptp.function @t22)) % 31.13/31.35 (define @t49 () (tptp.relation @t22)) % 31.13/31.35 (define @t50 () (and @t49 @t48)) % 31.13/31.35 (define @t51 () (=> @t50 @t47)) % 31.13/31.35 (define @t52 () (forall @t26 @t51)) % 31.13/31.35 (define @t53 () (and @t31 @t30)) % 31.13/31.35 (define @t54 () (=> @t53 @t52)) % 31.13/31.35 (define @t55 () (forall @t10 @t54)) % 31.13/31.35 (define @t56 () (=> @t55 @t43)) % 31.13/31.35 (define @t57 () (forall @t7 @t56)) % 31.13/31.35 (define @t58 () (not @t57)) % 31.13/31.35 (define @t59 () (tptp.element @t1 @t2)) % 31.13/31.35 (define @t60 () (or @t20 @t3)) % 31.13/31.35 (define @t61 () (forall @t4 (=> @t59 @t60))) % 31.13/31.35 (define @t62 () (tptp.element @t2 (tptp.powerset @t22))) % 31.13/31.35 (define @t63 () (@list @t1 @t2 @t22)) % 31.13/31.35 (define @t64 () (forall @t7 (=> @t6 @t43))) % 31.13/31.35 (define @t65 () (not @t40)) % 31.13/31.35 (define @t66 () (or @t65 (= tptp.n0 tptp.empty_set))) % 31.13/31.35 (define @t67 () (forall @t7 (or @t18 @t43))) % 31.13/31.35 (define @t68 () (= tptp.empty_set tptp.n0)) % 31.13/31.35 (define @t69 () (or @t65 @t68)) % 31.13/31.35 (define @t70 () (@list false)) % 31.13/31.35 (define @t71 () (@list @t67)) % 31.13/31.35 (define @t72 () (@list false false)) % 31.13/31.35 (define @t73 () (= tptp.empty_set tptp.n1)) % 31.13/31.35 (define @t74 () (not @t73)) % 31.13/31.35 (define @t75 () (not @t14)) % 31.13/31.35 (define @t76 () (= false true)) % 31.13/31.35 (define @t77 () (and @t14 @t73 @t42)) % 31.13/31.35 (define @t78 () (@list true false)) % 31.13/31.35 (define @t79 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 31.13/31.35 (define @t80 () (= @t2 @t79)) % 31.13/31.35 (define @t81 () (tptp.relation_dom @t79)) % 31.13/31.35 (define @t82 () (not (= @t1 @t81))) % 31.13/31.35 (define @t83 () (not (tptp.function @t79))) % 31.13/31.35 (define @t84 () (not (tptp.relation @t79))) % 31.13/31.35 (define @t85 () (= @t1 @t28)) % 31.13/31.35 (define @t86 () (not @t85)) % 31.13/31.35 (define @t87 () (not @t30)) % 31.13/31.35 (define @t88 () (not @t31)) % 31.13/31.35 (define @t89 () (or @t88 @t87 @t86 @t84 @t83 @t82 @t80)) % 31.13/31.35 (define @t90 () (@list @t2 @t79)) % 31.13/31.35 (define @t91 () (forall @t90 @t89)) % 31.13/31.35 (define @t92 () (or @t84 @t83 @t82 @t80)) % 31.13/31.35 (define @t93 () (or @t88 @t87 @t86 @t92)) % 31.13/31.35 (define @t94 () (forall @t90 @t93)) % 31.13/31.35 (define @t95 () (@list @t79)) % 31.13/31.35 (define @t96 () (forall @t95 @t93)) % 31.13/31.35 (define @t97 () (forall @t95 @t92)) % 31.13/31.35 (define @t98 () (or @t88 @t87 @t86 @t97)) % 31.13/31.35 (define @t99 () (= @t1 @t45)) % 31.13/31.35 (define @t100 () (not @t99)) % 31.13/31.35 (define @t101 () (not @t48)) % 31.13/31.35 (define @t102 () (not @t49)) % 31.13/31.35 (define @t103 () (or @t102 @t101 @t100 @t44)) % 31.13/31.35 (define @t104 () (forall @t26 @t103)) % 31.13/31.35 (define @t105 () (or @t88 @t87 @t86 @t104)) % 31.13/31.35 (define @t106 () (or @t86 @t104)) % 31.13/31.35 (define @t107 () (or @t86 @t103)) % 31.13/31.35 (define @t108 () (or @t102 @t101 @t86 @t100 @t44)) % 31.13/31.35 (define @t109 () (or @t86 @t100 @t44)) % 31.13/31.35 (define @t110 () (and @t85 @t99)) % 31.13/31.35 (define @t111 () (=> @t110 @t44)) % 31.13/31.35 (define @t112 () (forall @t7 (or (not @t91) @t43))) % 31.13/31.35 (define @t113 () (@quantifiers_skolemize @t112 0)) % 31.13/31.35 (define @t114 () (= tptp.empty_set @t113)) % 31.13/31.35 (define @t115 () (not (= @t28 @t113))) % 31.13/31.35 (define @t116 () (forall @t90 (or @t88 @t87 @t115 @t84 @t83 (not (= @t81 @t113)) @t80))) % 31.13/31.35 (define @t117 () (not @t116)) % 31.13/31.35 (define @t118 () (or @t117 @t114)) % 31.13/31.35 (define @t119 () (not @t118)) % 31.13/31.35 (define @t120 () (not @t112)) % 31.13/31.35 (define @t121 () (not (= @t113 @t81))) % 31.13/31.35 (define @t122 () (not (= @t113 @t28))) % 31.13/31.35 (define @t123 () (or @t88 @t87 @t122 @t84 @t83 @t121 @t80)) % 31.13/31.35 (define @t124 () (forall @t90 @t123)) % 31.13/31.35 (define @t125 () (not @t124)) % 31.13/31.35 (define @t126 () (= @t113 tptp.empty_set)) % 31.13/31.35 (define @t127 () (or @t125 @t126)) % 31.13/31.35 (define @t128 () (not @t127)) % 31.13/31.35 (define @t129 () (@list true)) % 31.13/31.35 (define @t130 () (@list @t118)) % 31.13/31.35 (define @t131 () (not (tptp.in @t22 @t113))) % 31.13/31.35 (define @t132 () (not (forall @t26 (or @t131 @t35)))) % 31.13/31.35 (define @t133 () (forall @t10 (or @t88 @t87 @t115 @t132))) % 31.13/31.35 (define @t134 () (@quantifiers_skolemize @t133 0)) % 31.13/31.35 (define @t135 () (= tptp.n0 @t23)) % 31.13/31.35 (define @t136 () (not (forall @t26 (or @t131 @t135)))) % 31.13/31.35 (define @t137 () (forall @t10 (or @t88 @t87 @t115 @t136))) % 31.13/31.35 (define @t138 () (@quantifiers_skolemize @t137 0)) % 31.13/31.35 (define @t139 () (= @t138 @t134)) % 31.13/31.35 (define @t140 () (tptp.relation_dom @t134)) % 31.13/31.35 (define @t141 () (not (= @t140 @t113))) % 31.13/31.35 (define @t142 () (tptp.function @t134)) % 31.13/31.35 (define @t143 () (not @t142)) % 31.13/31.35 (define @t144 () (tptp.relation @t134)) % 31.13/31.35 (define @t145 () (not @t144)) % 31.13/31.35 (define @t146 () (tptp.relation_dom @t138)) % 31.13/31.35 (define @t147 () (not (= @t146 @t113))) % 31.13/31.35 (define @t148 () (tptp.function @t138)) % 31.13/31.35 (define @t149 () (not @t148)) % 31.13/31.35 (define @t150 () (tptp.relation @t138)) % 31.13/31.35 (define @t151 () (not @t150)) % 31.13/31.35 (define @t152 () (or @t151 @t149 @t147 @t145 @t143 @t141 @t139)) % 31.13/31.35 (define @t153 () (= @t113 @t140)) % 31.13/31.35 (define @t154 () (not @t153)) % 31.13/31.35 (define @t155 () (= @t113 @t146)) % 31.13/31.35 (define @t156 () (not @t155)) % 31.13/31.35 (define @t157 () (or @t151 @t149 @t156 @t145 @t143 @t154 @t139)) % 31.13/31.35 (define @t158 () (not @t24)) % 31.13/31.35 (define @t159 () (forall @t26 (or @t158 @t35))) % 31.13/31.35 (define @t160 () (not @t159)) % 31.13/31.35 (define @t161 () (or @t88 @t87 @t86 @t160)) % 31.13/31.35 (define @t162 () (and @t31 @t30 @t85 @t159)) % 31.13/31.35 (define @t163 () (forall @t10 (not @t162))) % 31.13/31.35 (define @t164 () (not @t163)) % 31.13/31.35 (define @t165 () (or @t88 @t87 @t122 @t132)) % 31.13/31.35 (define @t166 () (forall @t10 @t165)) % 31.13/31.35 (define @t167 () (not @t166)) % 31.13/31.35 (define @t168 () (forall @t7 (not (forall @t10 @t161)))) % 31.13/31.35 (define @t169 () (@list @t113)) % 31.13/31.35 (define @t170 () (not @t133)) % 31.13/31.35 (define @t171 () (tptp.apply @t134 @t22)) % 31.13/31.35 (define @t172 () (forall @t26 (or @t131 (= tptp.n1 @t171)))) % 31.13/31.35 (define @t173 () (not @t172)) % 31.13/31.35 (define @t174 () (or @t145 @t143 @t154 @t173)) % 31.13/31.35 (define @t175 () (not @t174)) % 31.13/31.35 (define @t176 () (or @t131 (= @t171 tptp.n1))) % 31.13/31.35 (define @t177 () (forall @t26 @t176)) % 31.13/31.35 (define @t178 () (not @t177)) % 31.13/31.35 (define @t179 () (or @t145 @t143 @t141 @t178)) % 31.13/31.35 (define @t180 () (not @t179)) % 31.13/31.35 (define @t181 () (@list @t174)) % 31.13/31.35 (define @t182 () (forall @t26 (or @t158 @t135))) % 31.13/31.35 (define @t183 () (not @t182)) % 31.13/31.35 (define @t184 () (or @t88 @t87 @t86 @t183)) % 31.13/31.35 (define @t185 () (and @t31 @t30 @t85 @t182)) % 31.13/31.35 (define @t186 () (forall @t10 (not @t185))) % 31.13/31.35 (define @t187 () (not @t186)) % 31.13/31.35 (define @t188 () (or @t88 @t87 @t122 @t136)) % 31.13/31.35 (define @t189 () (forall @t10 @t188)) % 31.13/31.35 (define @t190 () (not @t189)) % 31.13/31.35 (define @t191 () (forall @t7 (not (forall @t10 @t184)))) % 31.13/31.35 (define @t192 () (not @t137)) % 31.13/31.35 (define @t193 () (forall @t26 (or @t131 (= tptp.n0 (tptp.apply @t138 @t22))))) % 31.13/31.35 (define @t194 () (not @t193)) % 31.13/31.35 (define @t195 () (or @t151 @t149 @t156 @t194)) % 31.13/31.35 (define @t196 () (not @t195)) % 31.13/31.35 (define @t197 () (or @t151 @t149 @t147 @t194)) % 31.13/31.35 (define @t198 () (not @t197)) % 31.13/31.35 (define @t199 () (@list @t195)) % 31.13/31.35 (define @t200 () (forall @t10 (not (tptp.element @t2 @t113)))) % 31.13/31.35 (define @t201 () (@quantifiers_skolemize @t200 0)) % 31.13/31.35 (define @t202 () (@list @t201)) % 31.13/31.35 (define @t203 () (not @t59)) % 31.13/31.35 (define @t204 () (tptp.element @t201 @t113)) % 31.13/31.35 (define @t205 () (not @t200)) % 31.13/31.35 (define @t206 () (not @t204)) % 31.13/31.35 (define @t207 () (not @t206)) % 31.13/31.35 (define @t208 () (tptp.empty @t113)) % 31.13/31.35 (define @t209 () (not @t208)) % 31.13/31.35 (define @t210 () (or @t209 @t126)) % 31.13/31.35 (define @t211 () (or @t209 @t114)) % 31.13/31.35 (define @t212 () (tptp.in @t201 @t113)) % 31.13/31.35 (define @t213 () (or @t206 @t208 @t212)) % 31.13/31.35 (define @t214 () (= tptp.n1 (tptp.apply @t134 @t201))) % 31.13/31.35 (define @t215 () (not @t212)) % 31.13/31.35 (define @t216 () (or @t215 @t214)) % 31.13/31.35 (define @t217 () (tptp.apply @t138 @t201)) % 31.13/31.35 (define @t218 () (= tptp.n0 @t217)) % 31.13/31.35 (define @t219 () (or @t215 @t218)) % 31.13/31.35 (define @t220 () (not @t218)) % 31.13/31.35 (define @t221 () (not @t214)) % 31.13/31.35 (define @t222 () (not @t139)) % 31.13/31.35 (define @t223 () (not @t68)) % 31.13/31.35 (define @t224 () (and @t220 @t218)) % 31.13/31.35 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 31.13/31.35 (assume @p2 (forall @t7 (=> @t6 @t5))) % 31.13/31.35 (assume @p3 (forall @t7 (=> @t6 @t8))) % 31.13/31.35 (assume @p4 @t12) % 31.13/31.35 (assume @p5 (and @t14 @t13 (tptp.relation_empty_yielding tptp.empty_set))) % 31.13/31.35 (assume @p6 (forall @t7 (not (tptp.empty @t15)))) % 31.13/31.35 (assume @p7 @t14) % 31.13/31.35 (assume @p8 (and @t14 @t13)) % 31.13/31.35 (assume @p9 (forall @t7 (=> @t19 (not @t17)))) % 31.13/31.35 (assume @p10 (forall @t7 (=> @t6 (and @t17 (tptp.relation @t16))))) % 31.13/31.35 (assume @p11 (exists @t7 (and @t8 @t5))) % 31.13/31.35 (assume @p12 (exists @t7 (and @t6 @t8))) % 31.13/31.35 (assume @p13 (forall @t7 (=> @t18 (exists @t10 (and @t21 (not @t20)))))) % 31.13/31.35 (assume @p14 (exists @t7 @t6)) % 31.13/31.35 (assume @p15 (exists @t7 @t19)) % 31.13/31.35 (assume @p16 (forall @t7 (exists @t10 (and @t21 @t20)))) % 31.13/31.35 (assume @p17 (exists @t7 @t18)) % 31.13/31.35 (assume @p18 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 31.13/31.35 (assume @p19 (forall @t4 (tptp.subset @t1 @t1))) % 31.13/31.35 (assume @p20 @t34) % 31.13/31.35 (assume @p21 @t39) % 31.13/31.35 (assume @p22 @t40) % 31.13/31.35 (assume @p23 @t42) % 31.13/31.35 (assume @p24 @t58) % 31.13/31.35 (assume @p25 (forall @t4 (=> @t3 @t59))) % 31.13/31.35 (assume @p26 @t61) % 31.13/31.35 (assume @p27 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 31.13/31.35 (assume @p28 (forall @t63 (=> (and @t3 @t62) (tptp.element @t1 @t22)))) % 31.13/31.35 (assume @p29 (forall @t63 (not (and @t3 @t62 (tptp.empty @t22))))) % 31.13/31.35 (assume @p30 @t64) % 31.13/31.35 (assume @p31 (forall @t4 (not (and @t3 @t20)))) % 31.13/31.35 (assume @p32 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t20)))) % 31.13/31.35 (assume @p33 true) % 31.13/31.35 (step @p34 :rule bool-impl-elim :args (@t6 @t43)) % 31.13/31.35 (step @p35 :rule cong :premises (@p34) :args (@t64)) % 31.13/31.35 (step @p36 :rule eq_resolve :premises (@p30 @p35)) % 31.13/31.35 (step @p37 :rule eq-symm :args (tptp.n0 tptp.empty_set)) % 31.13/31.35 (step @p38 :rule refl :args (@t65)) % 31.13/31.35 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t66)) % 31.13/31.35 (step @p40 :rule refl :args (@t67)) % 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(step @p115 :rule trans :premises (@p114 @p112)) % 31.13/31.35 (step @p116 :rule aci_norm :args ((= (or (or @t102 @t101) @t109) @t108))) % 31.13/31.35 (step @p117 :rule aci_norm :args ((= (or (or @t86 @t100) @t44) @t109))) % 31.13/31.35 (step @p118 :rule refl :args (@t44)) % 31.13/31.35 (step @p119 :rule bool-and-de-morgan :args (@t85 @t99 true)) % 31.13/31.35 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t110) @t44))) % 31.13/31.35 (step @p121 :rule trans :premises (@p120 @p117)) % 31.13/31.35 (step @p122 :rule bool-impl-elim :args (@t110 @t44)) % 31.13/31.35 (step @p123 :rule trans :premises (@p122 @p121)) % 31.13/31.35 (step @p124 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 31.13/31.35 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t50) @t111))) % 31.13/31.35 (step @p126 :rule trans :premises (@p125 @p116)) % 31.13/31.35 (step @p127 :rule bool-impl-elim :args (@t50 @t111)) % 31.13/31.35 (step @p128 :rule trans :premises (@p127 @p126)) % 31.13/31.35 (step @p129 :rule cong :premises (@p128) :args ((forall @t26 (=> @t50 @t111)))) % 31.13/31.35 (step @p130 :rule trans :premises (@p129 @p115)) % 31.13/31.35 (step @p131 :rule refl :args (@t44)) % 31.13/31.35 (step @p132 :rule eq-symm :args (@t45 @t1)) % 31.13/31.35 (step @p133 :rule eq-symm :args (@t28 @t1)) % 31.13/31.35 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t46)) % 31.13/31.35 (step @p135 :rule cong :premises (@p134 @p131) :args (@t47)) % 31.13/31.35 (step @p136 :rule refl :args (@t50)) % 31.13/31.35 (step @p137 :rule cong :premises (@p136 @p135) :args (@t51)) % 31.13/31.35 (step @p138 :rule cong :premises (@p137) :args (@t52)) % 31.13/31.35 (step @p139 :rule trans :premises (@p138 @p130)) % 31.13/31.35 (step @p140 :rule refl :args (@t53)) % 31.13/31.35 (step @p141 :rule cong :premises (@p140 @p139) :args (@t54)) % 31.13/31.35 (step @p142 :rule cong :premises (@p141) :args (@t55)) % 31.13/31.35 (step @p143 :rule trans :premises (@p142 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@p159 :rule cong :premises (@p158) :args (@t122)) % 31.13/31.35 (step @p160 :rule refl :args (@t87)) % 31.13/31.35 (step @p161 :rule refl :args (@t88)) % 31.13/31.35 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159 @p157 @p156 @p155 @p153) :args (@t123)) % 31.13/31.35 (step @p163 :rule cong :premises (@p162) :args (@t124)) % 31.13/31.35 (step @p164 :rule cong :premises (@p163) :args (@t125)) % 31.13/31.35 (step @p165 :rule nary_cong :premises (@p164 @p152) :args (@t127)) % 31.13/31.35 (step @p166 :rule cong :premises (@p165) :args (@t128)) % 31.13/31.35 (step @p167 :rule refl :args (@t120)) % 31.13/31.35 (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t120 @t128))) % 31.13/31.35 (assume-push @p482 @t120) % 31.13/31.35 (step @p170 :rule skolemize :premises (@p148)) % 31.13/31.35 (step-pop @p483 :rule scope :premises (@p170)) % 31.13/31.35 (step @p171 :rule process_scope :premises (@p483) :args (@t128)) % 31.13/31.35 (step @p173 :rule eq_resolve :premises (@p171 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refl :args (@t143)) % 31.13/31.35 (step @p188 :rule refl :args (@t145)) % 31.13/31.35 (step @p189 :rule eq-symm :args (@t146 @t113)) % 31.13/31.35 (step @p190 :rule cong :premises (@p189) :args (@t147)) % 31.13/31.35 (step @p191 :rule refl :args (@t149)) % 31.13/31.35 (step @p192 :rule refl :args (@t151)) % 31.13/31.35 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p188 @p187 @p186 @p184) :args (@t152)) % 31.13/31.35 (step @p194 :rule refl :args (@t116)) % 31.13/31.35 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t116 @t152))) % 31.13/31.35 (assume-push @p484 @t116) % 31.13/31.35 (step @p197 :rule instantiate :premises (@p183) :args ((@list @t138 @t134))) % 31.13/31.35 (step-pop @p485 :rule scope :premises (@p197)) % 31.13/31.35 (step @p198 :rule process_scope :premises (@p485) :args (@t152)) % 31.13/31.35 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 31.13/31.35 (step @p201 :rule implies_elim :premises (@p200)) % 31.13/31.35 (step @p202 :rule chain_m_resolution :premises (@p201 @p183) :args (@t157 @t70 (@list @t116))) % 31.13/31.35 (step @p203 :rule aci_norm :args ((= (or @t88 (or @t87 (or @t86 @t160))) @t161))) % 31.13/31.35 (step @p204 :rule bool-and-de-morgan :args (@t85 @t159 true)) % 31.13/31.35 (step @p205 :rule nary_cong :premises (@p94 @p204) :args ((or @t87 (not (and @t85 @t159))))) % 31.13/31.35 (step @p206 :rule bool-and-de-morgan :args (@t30 @t85 (and @t159))) % 31.13/31.35 (step @p207 :rule trans :premises (@p206 @p205)) % 31.13/31.35 (step @p208 :rule nary_cong :premises (@p95 @p207) :args ((or @t88 (not (and @t30 @t85 @t159))))) % 31.13/31.35 (step @p209 :rule bool-and-de-morgan :args (@t31 @t30 (and @t85 @t159))) % 31.13/31.35 (step @p210 :rule trans :premises (@p209 @p208)) % 31.13/31.35 (step @p211 :rule trans :premises (@p210 @p203)) % 31.13/31.35 (step @p212 :rule cong :premises (@p211) :args (@t163)) % 31.13/31.35 (step @p213 :rule cong :premises (@p212) :args (@t164)) % 31.13/31.35 (step @p214 :rule exists-elim :args ((= (exists @t10 @t162) @t164))) % 31.13/31.35 (step @p215 :rule trans :premises (@p214 @p213)) % 31.13/31.35 (step @p216 :rule bool-impl-elim :args (@t24 @t35)) % 31.13/31.35 (step @p217 :rule cong :premises (@p216) :args (@t36)) % 31.13/31.35 (step @p218 :rule refl :args (@t30)) % 31.13/31.35 (step @p219 :rule refl :args (@t31)) % 31.13/31.35 (step @p220 :rule nary_cong :premises (@p219 @p218 @p133 @p217) :args (@t37)) % 31.13/31.35 (step @p221 :rule cong :premises (@p220) :args (@t38)) % 31.13/31.35 (step @p222 :rule trans :premises (@p221 @p215)) % 31.13/31.35 (step @p223 :rule cong :premises (@p222) :args (@t39)) % 31.13/31.35 (step @p224 :rule eq_resolve :premises (@p21 @p223)) % 31.13/31.35 (step @p225 :rule refl :args (@t132)) % 31.13/31.35 (step @p226 :rule nary_cong :premises (@p161 @p160 @p159 @p225) :args (@t165)) % 31.13/31.35 (step @p227 :rule cong :premises (@p226) :args (@t166)) % 31.13/31.35 (step @p228 :rule cong :premises (@p227) :args (@t167)) % 31.13/31.35 (step @p229 :rule refl :args (@t168)) % 31.13/31.35 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t168 @t167))) % 31.13/31.35 (assume-push @p486 @t168) % 31.13/31.35 (step @p232 :rule instantiate :premises (@p224) :args (@t169)) % 31.13/31.35 (step-pop @p487 :rule scope :premises (@p232)) % 31.13/31.35 (step @p233 :rule process_scope :premises (@p487) :args (@t167)) % 31.13/31.35 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 31.13/31.35 (step @p236 :rule implies_elim :premises (@p235)) % 31.13/31.35 (step @p237 :rule chain_m_resolution :premises (@p236 @p224) :args (@t170 @t70 (@list @t168))) % 31.13/31.35 (step @p238 :rule refl :args (@t175)) % 31.13/31.35 (step @p239 :rule bool-double-not-elim :args (@t133)) % 31.13/31.35 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or (not @t170) @t175))) % 31.13/31.35 (step @p241 :rule eq-symm :args (@t171 tptp.n1)) % 31.13/31.35 (step @p242 :rule refl :args (@t131)) % 31.13/31.35 (step @p243 :rule nary_cong :premises (@p242 @p241) :args (@t176)) % 31.13/31.35 (step @p244 :rule cong :premises (@p243) :args (@t177)) % 31.13/31.35 (step @p245 :rule cong :premises (@p244) :args (@t178)) % 31.13/31.35 (step @p246 :rule nary_cong :premises (@p188 @p187 @p186 @p245) :args (@t179)) % 31.13/31.35 (step @p247 :rule cong :premises (@p246) :args (@t180)) % 31.13/31.35 (step @p248 :rule refl :args (@t170)) % 31.13/31.35 (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t170 @t180))) % 31.13/31.35 (assume-push @p488 @t170) % 31.13/31.35 (step @p251 :rule skolemize :premises (@p237)) % 31.13/31.35 (step-pop @p489 :rule scope :premises (@p251)) % 31.13/31.35 (step @p252 :rule process_scope :premises (@p489) :args (@t180)) % 31.13/31.35 (step @p254 :rule eq_resolve :premises (@p252 @p249)) % 31.13/31.35 (step @p255 :rule implies_elim :premises (@p254)) % 31.13/31.35 (step @p256 :rule eq_resolve :premises (@p255 @p240)) % 31.13/31.35 (step @p257 :rule chain_m_resolution :premises (@p256 @p237) :args (@t175 @t129 (@list @t133))) % 31.13/31.35 (step @p258 :rule bool-double-not-elim :args (@t153)) % 31.13/31.35 (step @p259 :rule refl :args (@t174)) % 31.13/31.35 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t174 (not @t154)))) % 31.13/31.35 (step @p261 :rule cnf_or_neg :args (@t174 2)) % 31.13/31.35 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 31.13/31.35 (step @p263 :rule reordering :premises (@p262) :args ((or @t153 @t174))) % 31.13/31.35 (step @p264 :rule chain_m_resolution :premises (@p263 @p257) :args (@t153 @t129 @t181)) % 31.13/31.35 (step @p265 :rule bool-double-not-elim :args (@t142)) % 31.13/31.35 (step @p266 :rule nary_cong :premises (@p259 @p265) :args ((or @t174 (not @t143)))) % 31.13/31.35 (step @p267 :rule cnf_or_neg :args (@t174 1)) % 31.13/31.35 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 31.13/31.35 (step @p269 :rule reordering :premises (@p268) :args ((or @t142 @t174))) % 31.13/31.35 (step @p270 :rule chain_m_resolution :premises (@p269 @p257) :args (@t142 @t129 @t181)) % 31.13/31.35 (step @p271 :rule bool-double-not-elim :args (@t144)) % 31.13/31.35 (step @p272 :rule nary_cong :premises (@p259 @p271) :args ((or @t174 (not @t145)))) % 31.13/31.35 (step @p273 :rule cnf_or_neg :args (@t174 0)) % 31.13/31.35 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 31.13/31.35 (step @p275 :rule reordering :premises (@p274) :args ((or @t144 @t174))) % 31.13/31.35 (step @p276 :rule chain_m_resolution :premises (@p275 @p257) :args (@t144 @t129 @t181)) % 31.13/31.35 (step @p277 :rule aci_norm :args ((= (or @t88 (or @t87 (or @t86 @t183))) @t184))) % 31.13/31.35 (step @p278 :rule bool-and-de-morgan :args (@t85 @t182 true)) % 31.13/31.35 (step @p279 :rule nary_cong :premises (@p94 @p278) :args ((or @t87 (not (and @t85 @t182))))) % 31.13/31.35 (step @p280 :rule bool-and-de-morgan :args (@t30 @t85 (and @t182))) % 31.13/31.35 (step @p281 :rule trans :premises (@p280 @p279)) % 31.13/31.35 (step @p282 :rule nary_cong :premises (@p95 @p281) :args ((or @t88 (not (and @t30 @t85 @t182))))) % 31.13/31.35 (step @p283 :rule bool-and-de-morgan :args (@t31 @t30 (and @t85 @t182))) % 31.13/31.35 (step @p284 :rule trans :premises (@p283 @p282)) % 31.13/31.35 (step @p285 :rule trans :premises (@p284 @p277)) % 31.13/31.35 (step @p286 :rule cong :premises (@p285) :args (@t186)) % 31.13/31.35 (step @p287 :rule cong :premises (@p286) :args (@t187)) % 31.13/31.35 (step @p288 :rule exists-elim :args ((= (exists @t10 @t185) @t187))) % 31.13/31.35 (step @p289 :rule trans :premises (@p288 @p287)) % 31.13/31.35 (step @p290 :rule bool-impl-elim :args (@t24 @t135)) % 31.13/31.35 (step @p291 :rule cong :premises (@p290) :args ((forall @t26 (=> @t24 @t135)))) % 31.13/31.35 (step @p292 :rule eq-symm :args (@t23 tptp.n0)) % 31.13/31.35 (step @p293 :rule refl :args (@t24)) % 31.13/31.35 (step @p294 :rule cong :premises (@p293 @p292) :args (@t25)) % 31.13/31.35 (step @p295 :rule cong :premises (@p294) :args (@t27)) % 31.13/31.35 (step @p296 :rule trans :premises (@p295 @p291)) % 31.13/31.35 (step @p297 :rule nary_cong :premises (@p219 @p218 @p133 @p296) :args (@t32)) % 31.13/31.35 (step @p298 :rule cong :premises (@p297) :args (@t33)) % 31.13/31.35 (step @p299 :rule trans :premises (@p298 @p289)) % 31.13/31.35 (step @p300 :rule cong :premises (@p299) :args (@t34)) % 31.13/31.35 (step @p301 :rule eq_resolve :premises (@p20 @p300)) % 31.13/31.35 (step @p302 :rule refl :args (@t136)) % 31.13/31.35 (step @p303 :rule nary_cong :premises (@p161 @p160 @p159 @p302) :args (@t188)) % 31.13/31.35 (step @p304 :rule cong :premises (@p303) :args (@t189)) % 31.13/31.35 (step @p305 :rule cong :premises (@p304) :args (@t190)) % 31.13/31.35 (step @p306 :rule refl :args (@t191)) % 31.13/31.35 (step @p307 :rule cong :premises (@p306 @p305) :args ((=> @t191 @t190))) % 31.13/31.35 (assume-push @p490 @t191) % 31.13/31.35 (step @p309 :rule instantiate :premises (@p301) :args (@t169)) % 31.13/31.35 (step-pop @p491 :rule scope :premises (@p309)) % 31.13/31.35 (step @p310 :rule process_scope :premises (@p491) :args (@t190)) % 31.13/31.35 (step @p312 :rule eq_resolve :premises (@p310 @p307)) % 31.13/31.35 (step @p313 :rule implies_elim :premises (@p312)) % 31.13/31.35 (step @p314 :rule chain_m_resolution :premises (@p313 @p301) :args (@t192 @t70 (@list @t191))) % 31.13/31.35 (step @p315 :rule refl :args (@t196)) % 31.13/31.35 (step @p316 :rule bool-double-not-elim :args (@t137)) % 31.13/31.35 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or (not @t192) @t196))) % 31.13/31.35 (step @p318 :rule refl :args (@t194)) % 31.13/31.35 (step @p319 :rule nary_cong :premises (@p192 @p191 @p190 @p318) :args (@t197)) % 31.13/31.35 (step @p320 :rule cong :premises (@p319) :args (@t198)) % 31.13/31.35 (step @p321 :rule refl :args (@t192)) % 31.13/31.35 (step @p322 :rule cong :premises (@p321 @p320) :args ((=> @t192 @t198))) % 31.13/31.35 (assume-push @p492 @t192) % 31.13/31.35 (step @p324 :rule skolemize :premises (@p314)) % 31.13/31.35 (step-pop @p493 :rule scope :premises (@p324)) % 31.13/31.35 (step @p325 :rule process_scope :premises (@p493) :args (@t198)) % 31.13/31.35 (step @p327 :rule eq_resolve :premises (@p325 @p322)) % 31.13/31.35 (step @p328 :rule implies_elim :premises (@p327)) % 31.13/31.35 (step @p329 :rule eq_resolve :premises (@p328 @p317)) % 31.13/31.35 (step @p330 :rule chain_m_resolution :premises (@p329 @p314) :args (@t196 @t129 (@list @t137))) % 31.13/31.35 (step @p331 :rule bool-double-not-elim :args (@t155)) % 31.13/31.35 (step @p332 :rule refl :args (@t195)) % 31.13/31.35 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t195 (not @t156)))) % 31.13/31.35 (step @p334 :rule cnf_or_neg :args (@t195 2)) % 31.13/31.35 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 31.13/31.35 (step @p336 :rule reordering :premises (@p335) :args ((or @t155 @t195))) % 31.13/31.35 (step @p337 :rule chain_m_resolution :premises (@p336 @p330) :args (@t155 @t129 @t199)) % 31.13/31.35 (step @p338 :rule bool-double-not-elim :args (@t148)) % 31.13/31.35 (step @p339 :rule nary_cong :premises (@p332 @p338) :args ((or @t195 (not @t149)))) % 31.13/31.35 (step @p340 :rule cnf_or_neg :args (@t195 1)) % 31.13/31.35 (step @p341 :rule eq_resolve :premises (@p340 @p339)) % 31.13/31.35 (step @p342 :rule reordering :premises (@p341) :args ((or @t148 @t195))) % 31.13/31.35 (step @p343 :rule chain_m_resolution :premises (@p342 @p330) :args (@t148 @t129 @t199)) % 31.13/31.35 (step @p344 :rule bool-double-not-elim :args (@t150)) % 31.13/31.35 (step @p345 :rule nary_cong :premises (@p332 @p344) :args ((or @t195 (not @t151)))) % 31.13/31.35 (step @p346 :rule cnf_or_neg :args (@t195 0)) % 31.13/31.35 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 31.13/31.35 (step @p348 :rule reordering :premises (@p347) :args ((or @t150 @t195))) % 31.13/31.35 (step @p349 :rule chain_m_resolution :premises (@p348 @p330) :args (@t150 @t129 @t199)) % 31.13/31.35 (step @p350 :rule cnf_or_pos :args (@t157)) % 31.13/31.35 (step @p351 :rule reordering :premises (@p350) :args ((or @t151 @t149 @t156 @t145 @t143 @t154 @t139 (not @t157)))) % 31.13/31.35 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p343 @p337 @p276 @p270 @p264 @p202) :args (@t139 (@list false false false false false false false) (@list @t150 @t148 @t155 @t144 @t142 @t153 @t157))) % 31.13/31.35 (step @p353 :rule bool-double-not-elim :args (@t172)) % 31.13/31.35 (step @p354 :rule nary_cong :premises (@p259 @p353) :args ((or @t174 (not @t173)))) % 31.13/31.35 (step @p355 :rule cnf_or_neg :args (@t174 3)) % 31.13/31.35 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 31.13/31.35 (step @p357 :rule reordering :premises (@p356) :args ((or @t172 @t174))) % 31.13/31.35 (step @p358 :rule chain_m_resolution :premises (@p357 @p257) :args (@t172 @t129 @t181)) % 31.13/31.35 (step @p359 :rule instantiate :premises (@p358) :args (@t202)) % 31.13/31.35 (step @p360 :rule aci_norm :args ((= (or @t203 @t60) (or @t203 @t20 @t3)))) % 31.13/31.35 (step @p361 :rule bool-impl-elim :args (@t59 @t60)) % 31.13/31.35 (step @p362 :rule trans :premises (@p361 @p360)) % 31.13/31.35 (step @p363 :rule cong :premises (@p362) :args (@t61)) % 31.13/31.35 (step @p364 :rule eq_resolve :premises (@p26 @p363)) % 31.13/31.35 (step @p365 :rule instantiate :premises (@p364) :args ((@list @t201 @t113))) % 31.13/31.35 (step @p366 :rule exists-elim :args ((= @t11 (not (forall @t10 (not @t9)))))) % 31.13/31.35 (step @p367 :rule cong :premises (@p366) :args (@t12)) % 31.13/31.35 (step @p368 :rule eq_resolve :premises (@p4 @p367)) % 31.13/31.35 (step @p369 :rule instantiate :premises (@p368) :args (@t169)) % 31.13/31.35 (step @p370 :rule refl :args (@t204)) % 31.13/31.35 (step @p371 :rule bool-double-not-elim :args (@t200)) % 31.13/31.35 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or (not @t205) @t204))) % 31.13/31.35 (step @p373 :rule bool-double-not-elim :args (@t204)) % 31.13/31.35 (step @p374 :rule refl :args (@t205)) % 31.13/31.35 (step @p375 :rule cong :premises (@p374 @p373) :args ((=> @t205 @t207))) % 31.13/31.35 (assume-push @p494 @t205) % 31.13/31.35 (step @p377 :rule skolemize :premises (@p369)) % 31.13/31.35 (step-pop @p495 :rule scope :premises (@p377)) % 31.13/31.35 (step @p378 :rule process_scope :premises (@p495) :args (@t207)) % 31.13/31.35 (step @p380 :rule eq_resolve :premises (@p378 @p375)) % 31.13/31.35 (step @p381 :rule implies_elim :premises (@p380)) % 31.13/31.35 (step @p382 :rule eq_resolve :premises (@p381 @p372)) % 31.13/31.35 (step @p383 :rule chain_m_resolution :premises (@p382 @p369) :args (@t204 @t129 (@list @t200))) % 31.13/31.35 (step @p384 :rule refl :args (@t209)) % 31.13/31.35 (step @p385 :rule nary_cong :premises (@p384 @p152) :args (@t210)) % 31.13/31.35 (step @p386 :rule cong :premises (@p40 @p385) :args ((=> @t67 @t210))) % 31.13/31.35 (assume-push @p496 @t67) % 31.13/31.35 (step @p388 :rule instantiate :premises (@p36) :args (@t169)) % 31.13/31.35 (step-pop @p497 :rule scope :premises (@p388)) % 31.13/31.35 (step @p389 :rule process_scope :premises (@p497) :args (@t210)) % 31.13/31.35 (step @p391 :rule eq_resolve :premises (@p389 @p386)) % 31.13/31.35 (step @p392 :rule implies_elim :premises (@p391)) % 31.13/31.35 (step @p393 :rule chain_m_resolution :premises (@p392 @p36) :args (@t211 @t70 @t71)) % 31.13/31.35 (step @p394 :rule cnf_or_neg :args (@t118 1)) % 31.13/31.35 (step @p395 :rule chain_m_resolution :premises (@p394 @p176) :args ((not @t114) @t129 @t130)) % 31.13/31.35 (step @p396 :rule cnf_or_pos :args (@t211)) % 31.13/31.35 (step @p397 :rule reordering :premises (@p396) :args ((or @t114 @t209 (not @t211)))) % 31.13/31.35 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p393) :args (@t209 @t78 (@list @t114 @t211))) % 31.13/31.35 (step @p399 :rule cnf_or_pos :args (@t213)) % 31.13/31.35 (step @p400 :rule reordering :premises (@p399) :args ((or @t208 @t206 @t212 (not @t213)))) % 31.13/31.35 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p383 @p365) :args (@t212 (@list true false false) (@list @t208 @t204 @t213))) % 31.13/31.35 (step @p402 :rule cnf_or_pos :args (@t216)) % 31.13/31.35 (step @p403 :rule reordering :premises (@p402) :args ((or @t215 @t214 (not @t216)))) % 31.13/31.35 (step @p404 :rule chain_m_resolution :premises (@p403 @p401 @p359) :args (@t214 @t72 (@list @t212 @t216))) % 31.13/31.35 (step @p405 :rule bool-double-not-elim :args (@t193)) % 31.13/31.35 (step @p406 :rule nary_cong :premises (@p332 @p405) :args ((or @t195 (not @t194)))) % 31.13/31.35 (step @p407 :rule cnf_or_neg :args (@t195 3)) % 31.13/31.35 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 31.13/31.35 (step @p409 :rule reordering :premises (@p408) :args ((or @t193 @t195))) % 31.13/31.35 (step @p410 :rule chain_m_resolution :premises (@p409 @p330) :args (@t193 @t129 @t199)) % 31.13/31.35 (step @p411 :rule instantiate :premises (@p410) :args (@t202)) % 31.13/31.35 (step @p412 :rule cnf_or_pos :args (@t219)) % 31.13/31.35 (step @p413 :rule reordering :premises (@p412) :args ((or @t215 @t218 (not @t219)))) % 31.13/31.35 (step @p414 :rule chain_m_resolution :premises (@p413 @p401 @p411) :args (@t218 @t72 (@list @t212 @t219))) % 31.13/31.35 (step @p415 :rule refl :args (@t220)) % 31.13/31.35 (step @p416 :rule refl :args (@t221)) % 31.13/31.35 (step @p417 :rule refl :args (@t222)) % 31.13/31.35 (step @p418 :rule bool-double-not-elim :args (@t73)) % 31.13/31.35 (step @p419 :rule refl :args (@t223)) % 31.13/31.35 (step @p420 :rule nary_cong :premises (@p419 @p418 @p417 @p416 @p415) :args ((or @t223 (not @t74) @t222 @t221 @t220))) % 31.13/31.35 (assume-push @p498 @t220) % 31.13/31.35 (assume-push @p499 @t218) % 31.13/31.35 (step @p60 :rule evaluate :args (@t76)) % 31.13/31.35 (step @p423 :rule true_intro :premises (@p414)) % 31.13/31.35 (step @p424 :rule false_intro :premises (@p498)) % 31.13/31.35 (step @p425 :rule symm :premises (@p424)) % 31.13/31.35 (step @p426 :rule trans :premises (@p425 @p423)) % 31.13/31.35 (step @p427 false :rule eq_resolve :premises (@p426 @p60)) % 31.13/31.35 (step-pop @p500 :rule scope :premises (@p427)) % 31.13/31.35 (step-pop @p501 :rule scope :premises (@p500)) % 31.13/31.35 (step @p428 :rule process_scope :premises (@p501) :args (false)) % 31.13/31.35 (assume-push @p502 @t68) % 31.13/31.35 (assume-push @p503 @t74) % 31.13/31.35 (assume-push @p504 @t139) % 31.13/31.35 (assume-push @p505 @t214) % 31.13/31.35 (assume-push @p506 @t218) % 31.13/31.35 (assume-push @p507 @t68) % 31.13/31.35 (assume-push @p508 @t74) % 31.13/31.35 (assume-push @p509 @t214) % 31.13/31.35 (assume-push @p510 @t139) % 31.13/31.35 (step @p440 :rule false_intro :premises (@p503)) % 31.13/31.35 (step @p441 :rule symm :premises (@p404)) % 31.13/31.35 (step @p442 :rule refl :args (@t201)) % 31.13/31.35 (step @p443 :rule cong :premises (@p352 @p442) :args (@t217)) % 31.13/31.35 (step @p444 :rule trans :premises (@p443 @p441)) % 31.13/31.35 (step @p445 :rule symm :premises (@p51)) % 31.13/31.35 (step @p446 :rule cong :premises (@p445 @p444) :args (@t218)) % 31.13/31.35 (step @p447 :rule trans :premises (@p446 @p440)) % 31.13/31.35 (step @p448 :rule false_elim :premises (@p447)) % 31.13/31.35 (step-pop @p511 :rule scope :premises (@p448)) % 31.13/31.35 (step-pop @p512 :rule scope :premises (@p511)) % 31.13/31.35 (step-pop @p513 :rule scope :premises (@p512)) % 31.13/31.35 (step-pop @p514 :rule scope :premises (@p513)) % 31.13/31.35 (step @p449 :rule process_scope :premises (@p514) :args (@t220)) % 31.13/31.35 (step @p454 :rule and_intro :premises (@p51 @p503 @p404 @p352)) % 31.13/31.35 (step @p455 :rule modus_ponens :premises (@p454 @p449)) % 31.13/31.35 (step @p456 :rule and_intro :premises (@p455 @p414)) % 31.13/31.35 (step-pop @p515 :rule scope :premises (@p456)) % 31.13/31.35 (step-pop @p516 :rule scope :premises (@p515)) % 31.13/31.35 (step-pop @p517 :rule scope :premises (@p516)) % 31.13/31.35 (step-pop @p518 :rule scope :premises (@p517)) % 31.13/31.35 (step-pop @p519 :rule scope :premises (@p518)) % 31.13/31.35 (step @p457 :rule process_scope :premises (@p519) :args (@t224)) % 31.13/31.35 (step @p463 :rule implies_elim :premises (@p457)) % 31.13/31.35 (step @p464 :rule resolution :premises (@p463 @p428) :args (true @t224)) % 31.13/31.35 (step @p465 :rule not_and :premises (@p464)) % 31.13/31.35 (step @p466 :rule eq_resolve :premises (@p465 @p420)) % 31.13/31.35 (step @p467 false :rule chain_m_resolution :premises (@p466 @p414 @p404 @p352 @p85 @p51) :args (false (@list false false false true false) (@list @t218 @t214 @t139 @t73 @t68))) % 31.13/31.35 ) % 31.13/31.35 % SZS output end Proof % 31.13/31.35 % cvc5 exiting %------------------------------------------------------------------------------