%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU023+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 : n021.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 08:50:28 AM UTC 2026 % Result : Theorem 15.52s 15.82s % Output : Proof 15.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU023+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 16:25:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.52/15.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 15.52/15.82 % SZS status Theorem % 15.52/15.82 % SZS output start Proof % 15.52/15.82 ( % 15.52/15.82 (declare-sort $$unsorted 0) % 15.52/15.82 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.52/15.82 (declare-const tptp.function (-> $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 15.52/15.82 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.empty_set $$unsorted) % 15.52/15.82 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 15.52/15.82 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 15.52/15.82 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.52/15.82 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.52/15.82 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.52/15.82 (define @t1 () (@var "A" $$unsorted)) % 15.52/15.82 (define @t2 () (@var "B" $$unsorted)) % 15.52/15.82 (define @t3 () (tptp.in @t1 @t2)) % 15.52/15.82 (define @t4 () (@list @t1 @t2)) % 15.52/15.82 (define @t5 () (tptp.function @t1)) % 15.52/15.82 (define @t6 () (tptp.empty @t1)) % 15.52/15.82 (define @t7 () (@list @t1)) % 15.52/15.82 (define @t8 () (tptp.relation @t1)) % 15.52/15.82 (define @t9 () (tptp.one_to_one @t1)) % 15.52/15.82 (define @t10 () (and @t8 @t5 @t9)) % 15.52/15.82 (define @t11 () (and @t8 @t6 @t5)) % 15.52/15.82 (define @t12 () (tptp.function_inverse @t1)) % 15.52/15.82 (define @t13 () (and (tptp.relation @t12) (tptp.function @t12))) % 15.52/15.82 (define @t14 () (and @t8 @t5)) % 15.52/15.82 (define @t15 () (forall @t7 (=> @t14 @t13))) % 15.52/15.82 (define @t16 () (tptp.relation_composition @t1 @t2)) % 15.52/15.82 (define @t17 () (tptp.relation @t16)) % 15.52/15.82 (define @t18 () (tptp.relation @t2)) % 15.52/15.82 (define @t19 () (@list @t2)) % 15.52/15.82 (define @t20 () (tptp.relation_composition @t2 @t1)) % 15.52/15.82 (define @t21 () (and @t6 @t18)) % 15.52/15.82 (define @t22 () (tptp.relation tptp.empty_set)) % 15.52/15.82 (define @t23 () (tptp.empty tptp.empty_set)) % 15.52/15.82 (define @t24 () (tptp.function @t2)) % 15.52/15.82 (define @t25 () (tptp.powerset @t1)) % 15.52/15.82 (define @t26 () (tptp.relation_dom @t1)) % 15.52/15.82 (define @t27 () (tptp.empty @t26)) % 15.52/15.82 (define @t28 () (not @t6)) % 15.52/15.82 (define @t29 () (and @t28 @t8)) % 15.52/15.82 (define @t30 () (tptp.relation_rng @t1)) % 15.52/15.82 (define @t31 () (tptp.empty @t30)) % 15.52/15.82 (define @t32 () (tptp.empty @t2)) % 15.52/15.82 (define @t33 () (tptp.element @t2 @t25)) % 15.52/15.82 (define @t34 () (tptp.element @t1 @t2)) % 15.52/15.82 (define @t35 () (tptp.apply @t2 @t1)) % 15.52/15.82 (define @t36 () (@var "C" $$unsorted)) % 15.52/15.82 (define @t37 () (= (tptp.apply (tptp.relation_composition @t2 @t36) @t1) (tptp.apply @t36 @t35))) % 15.52/15.82 (define @t38 () (tptp.relation_dom @t2)) % 15.52/15.82 (define @t39 () (tptp.in @t1 @t38)) % 15.52/15.82 (define @t40 () (=> @t39 @t37)) % 15.52/15.82 (define @t41 () (tptp.function @t36)) % 15.52/15.82 (define @t42 () (tptp.relation @t36)) % 15.52/15.82 (define @t43 () (and @t42 @t41)) % 15.52/15.82 (define @t44 () (@list @t36)) % 15.52/15.82 (define @t45 () (forall @t44 (=> @t43 @t40))) % 15.52/15.82 (define @t46 () (and @t18 @t24)) % 15.52/15.82 (define @t47 () (=> @t46 @t45)) % 15.52/15.82 (define @t48 () (forall @t4 @t47)) % 15.52/15.82 (define @t49 () (tptp.element @t2 (tptp.powerset @t36))) % 15.52/15.82 (define @t50 () (@list @t1 @t2 @t36)) % 15.52/15.82 (define @t51 () (@var "D" $$unsorted)) % 15.52/15.82 (define @t52 () (= @t51 (tptp.apply @t2 @t36))) % 15.52/15.82 (define @t53 () (tptp.in @t36 @t30)) % 15.52/15.82 (define @t54 () (and @t53 @t52)) % 15.52/15.82 (define @t55 () (= @t36 (tptp.apply @t1 @t51))) % 15.52/15.82 (define @t56 () (tptp.in @t51 @t26)) % 15.52/15.82 (define @t57 () (and @t56 @t55)) % 15.52/15.82 (define @t58 () (and (=> @t54 @t57) (=> @t57 @t54))) % 15.52/15.82 (define @t59 () (@list @t36 @t51)) % 15.52/15.82 (define @t60 () (forall @t59 @t58)) % 15.52/15.82 (define @t61 () (and (= @t38 @t30) @t60)) % 15.52/15.82 (define @t62 () (= @t2 @t12)) % 15.52/15.82 (define @t63 () (= @t62 @t61)) % 15.52/15.82 (define @t64 () (=> @t46 @t63)) % 15.52/15.82 (define @t65 () (forall @t19 @t64)) % 15.52/15.82 (define @t66 () (=> @t9 @t65)) % 15.52/15.82 (define @t67 () (=> @t14 @t66)) % 15.52/15.82 (define @t68 () (forall @t7 @t67)) % 15.52/15.82 (define @t69 () (tptp.function_inverse @t2)) % 15.52/15.82 (define @t70 () (and (= @t1 (tptp.apply @t69 @t35)) (= @t1 (tptp.apply (tptp.relation_composition @t2 @t69) @t1)))) % 15.52/15.82 (define @t71 () (tptp.one_to_one @t2)) % 15.52/15.82 (define @t72 () (and @t71 @t39)) % 15.52/15.82 (define @t73 () (=> @t72 @t70)) % 15.52/15.82 (define @t74 () (forall @t4 (=> @t46 @t73))) % 15.52/15.82 (define @t75 () (not @t74)) % 15.52/15.82 (define @t76 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 15.52/15.82 (define @t77 () (= (tptp.apply (tptp.relation_composition @t2 @t76) @t1) (tptp.apply @t76 @t35))) % 15.52/15.82 (define @t78 () (not (tptp.function @t76))) % 15.52/15.82 (define @t79 () (not (tptp.relation @t76))) % 15.52/15.82 (define @t80 () (not @t39)) % 15.52/15.82 (define @t81 () (not @t24)) % 15.52/15.82 (define @t82 () (not @t18)) % 15.52/15.82 (define @t83 () (or @t82 @t81 @t80 @t79 @t78 @t77)) % 15.52/15.82 (define @t84 () (or @t79 @t78 @t77)) % 15.52/15.82 (define @t85 () (or @t82 @t81 @t80 @t84)) % 15.52/15.82 (define @t86 () (@list @t1 @t2 @t76)) % 15.52/15.82 (define @t87 () (forall @t86 @t85)) % 15.52/15.82 (define @t88 () (@list @t76)) % 15.52/15.82 (define @t89 () (forall @t88 @t85)) % 15.52/15.82 (define @t90 () (forall @t88 @t84)) % 15.52/15.82 (define @t91 () (or @t82 @t81 @t80 @t90)) % 15.52/15.82 (define @t92 () (not @t41)) % 15.52/15.82 (define @t93 () (not @t42)) % 15.52/15.82 (define @t94 () (or @t93 @t92 @t37)) % 15.52/15.82 (define @t95 () (forall @t44 @t94)) % 15.52/15.82 (define @t96 () (or @t82 @t81 @t80 @t95)) % 15.52/15.82 (define @t97 () (or @t80 @t95)) % 15.52/15.82 (define @t98 () (or @t82 @t81)) % 15.52/15.82 (define @t99 () (not @t46)) % 15.52/15.82 (define @t100 () (or @t80 @t94)) % 15.52/15.82 (define @t101 () (or @t93 @t92 @t80 @t37)) % 15.52/15.82 (define @t102 () (not @t71)) % 15.52/15.82 (define @t103 () (or @t82 @t81 @t102 @t80 @t70)) % 15.52/15.82 (define @t104 () (forall @t4 @t103)) % 15.52/15.82 (define @t105 () (@quantifiers_skolemize @t104 0)) % 15.52/15.82 (define @t106 () (@quantifiers_skolemize @t104 1)) % 15.52/15.82 (define @t107 () (tptp.function_inverse @t106)) % 15.52/15.82 (define @t108 () (tptp.apply (tptp.relation_composition @t106 @t107) @t105)) % 15.52/15.82 (define @t109 () (tptp.apply @t106 @t105)) % 15.52/15.82 (define @t110 () (tptp.apply @t107 @t109)) % 15.52/15.82 (define @t111 () (tptp.function @t107)) % 15.52/15.82 (define @t112 () (not @t111)) % 15.52/15.82 (define @t113 () (tptp.relation @t107)) % 15.52/15.82 (define @t114 () (not @t113)) % 15.52/15.82 (define @t115 () (tptp.relation_dom @t106)) % 15.52/15.82 (define @t116 () (tptp.in @t105 @t115)) % 15.52/15.82 (define @t117 () (not @t116)) % 15.52/15.82 (define @t118 () (tptp.function @t106)) % 15.52/15.82 (define @t119 () (not @t118)) % 15.52/15.82 (define @t120 () (tptp.relation @t106)) % 15.52/15.82 (define @t121 () (not @t120)) % 15.52/15.82 (define @t122 () (or @t121 @t119 @t117 @t114 @t112 (= @t108 @t110))) % 15.52/15.82 (define @t123 () (forall @t86 @t83)) % 15.52/15.82 (define @t124 () (= @t110 @t108)) % 15.52/15.82 (define @t125 () (or @t121 @t119 @t117 @t114 @t112 @t124)) % 15.52/15.82 (define @t126 () (@list false)) % 15.52/15.82 (define @t127 () (not @t5)) % 15.52/15.82 (define @t128 () (not @t8)) % 15.52/15.82 (define @t129 () (or @t128 @t127)) % 15.52/15.82 (define @t130 () (not @t14)) % 15.52/15.82 (define @t131 () (or @t102 @t80 @t70)) % 15.52/15.82 (define @t132 () (= @t105 @t108)) % 15.52/15.82 (define @t133 () (= @t105 @t110)) % 15.52/15.82 (define @t134 () (and @t133 @t132)) % 15.52/15.82 (define @t135 () (tptp.one_to_one @t106)) % 15.52/15.82 (define @t136 () (not @t135)) % 15.52/15.82 (define @t137 () (or @t121 @t119 @t136 @t117 @t134)) % 15.52/15.82 (define @t138 () (@list true)) % 15.52/15.82 (define @t139 () (@list @t137)) % 15.52/15.82 (define @t140 () (and @t113 @t111)) % 15.52/15.82 (define @t141 () (or @t121 @t119 @t140)) % 15.52/15.82 (define @t142 () (not @t140)) % 15.52/15.82 (define @t143 () (@list @t140)) % 15.52/15.82 (define @t144 () (@list false false false false false false)) % 15.52/15.82 (define @t145 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 15.52/15.82 (define @t146 () (= @t12 @t145)) % 15.52/15.82 (define @t147 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 15.52/15.82 (define @t148 () (tptp.apply @t1 @t147)) % 15.52/15.82 (define @t149 () (tptp.in @t148 @t30)) % 15.52/15.82 (define @t150 () (not (tptp.in @t147 @t26))) % 15.52/15.82 (define @t151 () (@list @t147)) % 15.52/15.82 (define @t152 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 15.52/15.82 (define @t153 () (tptp.apply @t145 @t152)) % 15.52/15.82 (define @t154 () (not (tptp.in @t152 @t30))) % 15.52/15.82 (define @t155 () (@list @t152)) % 15.52/15.82 (define @t156 () (and (= @t30 (tptp.relation_dom @t145)) (forall @t155 (or @t154 (and (tptp.in @t153 @t26) (= @t152 (tptp.apply @t1 @t153))))) (forall @t151 (or @t150 (and @t149 (= @t147 (tptp.apply @t145 @t148))))))) % 15.52/15.82 (define @t157 () (= (= @t145 @t12) @t156)) % 15.52/15.82 (define @t158 () (not (tptp.function @t145))) % 15.52/15.82 (define @t159 () (not (tptp.relation @t145))) % 15.52/15.82 (define @t160 () (not @t9)) % 15.52/15.82 (define @t161 () (or @t128 @t127 @t160 @t159 @t158 @t157)) % 15.52/15.82 (define @t162 () (or @t159 @t158 @t157)) % 15.52/15.82 (define @t163 () (or @t128 @t127 @t160 @t162)) % 15.52/15.82 (define @t164 () (@list @t1 @t145)) % 15.52/15.82 (define @t165 () (forall @t164 @t163)) % 15.52/15.82 (define @t166 () (@list @t145)) % 15.52/15.82 (define @t167 () (forall @t166 @t163)) % 15.52/15.82 (define @t168 () (forall @t166 @t162)) % 15.52/15.82 (define @t169 () (or @t128 @t127 @t160 @t168)) % 15.52/15.82 (define @t170 () (and @t149 (= @t147 (tptp.apply @t2 @t148)))) % 15.52/15.82 (define @t171 () (or @t150 @t170)) % 15.52/15.82 (define @t172 () (forall @t151 @t171)) % 15.52/15.82 (define @t173 () (tptp.apply @t2 @t152)) % 15.52/15.82 (define @t174 () (and (tptp.in @t173 @t26) (= @t152 (tptp.apply @t1 @t173)))) % 15.52/15.82 (define @t175 () (or @t154 @t174)) % 15.52/15.82 (define @t176 () (forall @t155 @t175)) % 15.52/15.82 (define @t177 () (= @t30 @t38)) % 15.52/15.82 (define @t178 () (and @t177 @t176 @t172)) % 15.52/15.82 (define @t179 () (= @t62 @t178)) % 15.52/15.82 (define @t180 () (or @t82 @t81 @t179)) % 15.52/15.82 (define @t181 () (forall @t19 @t180)) % 15.52/15.82 (define @t182 () (or @t128 @t127 @t160 @t181)) % 15.52/15.82 (define @t183 () (=> @t9 @t181)) % 15.52/15.82 (define @t184 () (not (= @t148 @t148))) % 15.52/15.82 (define @t185 () (or @t150 @t184 @t170)) % 15.52/15.82 (define @t186 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 15.52/15.82 (define @t187 () (and (tptp.in @t186 @t30) (= @t147 (tptp.apply @t2 @t186)))) % 15.52/15.82 (define @t188 () (not (= @t186 @t148))) % 15.52/15.82 (define @t189 () (or @t188 @t150 @t188 @t187)) % 15.52/15.82 (define @t190 () (@list @t186)) % 15.52/15.82 (define @t191 () (or @t150 @t188 @t187)) % 15.52/15.82 (define @t192 () (forall @t190 @t191)) % 15.52/15.82 (define @t193 () (forall @t151 @t192)) % 15.52/15.82 (define @t194 () (forall (@list @t147 @t186) @t191)) % 15.52/15.82 (define @t195 () (forall (@list @t186 @t147) @t191)) % 15.52/15.82 (define @t196 () (not (= @t173 @t173))) % 15.52/15.82 (define @t197 () (or @t154 @t196 @t174)) % 15.52/15.82 (define @t198 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 15.52/15.82 (define @t199 () (and (tptp.in @t198 @t26) (= @t152 (tptp.apply @t1 @t198)))) % 15.52/15.82 (define @t200 () (not (= @t198 @t173))) % 15.52/15.82 (define @t201 () (or @t200 @t154 @t200 @t199)) % 15.52/15.82 (define @t202 () (@list @t198)) % 15.52/15.82 (define @t203 () (or @t154 @t200 @t199)) % 15.52/15.82 (define @t204 () (forall @t202 @t203)) % 15.52/15.82 (define @t205 () (forall @t155 @t204)) % 15.52/15.82 (define @t206 () (forall (@list @t152 @t198) @t203)) % 15.52/15.82 (define @t207 () (not @t55)) % 15.52/15.82 (define @t208 () (not @t56)) % 15.52/15.82 (define @t209 () (or @t208 @t207 @t54)) % 15.52/15.82 (define @t210 () (forall @t59 @t209)) % 15.52/15.82 (define @t211 () (@list @t36 @t51)) % 15.52/15.82 (define @t212 () (not @t52)) % 15.52/15.82 (define @t213 () (not @t53)) % 15.52/15.82 (define @t214 () (or @t213 @t212 @t57)) % 15.52/15.82 (define @t215 () (forall @t59 @t214)) % 15.52/15.82 (define @t216 () (and @t215 @t210)) % 15.52/15.82 (define @t217 () (tptp.apply @t106 @t147)) % 15.52/15.82 (define @t218 () (tptp.relation_rng @t106)) % 15.52/15.82 (define @t219 () (forall @t151 (or (not (tptp.in @t147 @t115)) (and (tptp.in @t217 @t218) (= @t147 (tptp.apply @t107 @t217)))))) % 15.52/15.82 (define @t220 () (tptp.apply @t107 @t152)) % 15.52/15.82 (define @t221 () (and (= @t218 (tptp.relation_dom @t107)) (forall @t155 (or (not (tptp.in @t152 @t218)) (and (tptp.in @t220 @t115) (= @t152 (tptp.apply @t106 @t220))))) @t219)) % 15.52/15.82 (define @t222 () (= @t221 (= @t107 @t107))) % 15.52/15.82 (define @t223 () (or @t121 @t119 @t136 @t114 @t112 @t222)) % 15.52/15.82 (define @t224 () (forall @t164 (or @t128 @t127 @t160 @t159 @t158 (= @t156 @t146)))) % 15.52/15.82 (define @t225 () (or @t121 @t119 @t136 @t114 @t112 @t221)) % 15.52/15.82 (define @t226 () (and (tptp.in @t109 @t218) @t133)) % 15.52/15.82 (define @t227 () (or @t117 @t226)) % 15.52/15.82 (define @t228 () (and @t133 @t124)) % 15.52/15.82 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.52/15.82 (assume @p2 (forall @t7 (=> @t6 @t5))) % 15.52/15.82 (assume @p3 (forall @t7 (=> @t6 @t8))) % 15.52/15.82 (assume @p4 (forall @t7 (=> @t11 @t10))) % 15.52/15.82 (assume @p5 @t15) % 15.52/15.82 (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17))) % 15.52/15.82 (assume @p7 (forall @t7 (exists @t19 (tptp.element @t2 @t1)))) % 15.52/15.82 (assume @p8 (forall @t4 (=> @t21 (and (tptp.empty @t20) (tptp.relation @t20))))) % 15.52/15.82 (assume @p9 (and @t23 @t22 (tptp.relation_empty_yielding tptp.empty_set))) % 15.52/15.82 (assume @p10 (forall @t4 (=> (and @t8 @t5 @t18 @t24) (and @t17 (tptp.function @t16))))) % 15.52/15.82 (assume @p11 (forall @t7 (not (tptp.empty @t25)))) % 15.52/15.82 (assume @p12 @t23) % 15.52/15.82 (assume @p13 (and @t23 @t22)) % 15.52/15.82 (assume @p14 (forall @t7 (=> @t29 (not @t27)))) % 15.52/15.82 (assume @p15 (forall @t7 (=> @t29 (not @t31)))) % 15.52/15.82 (assume @p16 (forall @t7 (=> @t6 (and @t27 (tptp.relation @t26))))) % 15.52/15.82 (assume @p17 (forall @t7 (=> @t6 (and @t31 (tptp.relation @t30))))) % 15.52/15.82 (assume @p18 (forall @t4 (=> @t21 (and (tptp.empty @t16) @t17)))) % 15.52/15.82 (assume @p19 (exists @t7 @t14)) % 15.52/15.82 (assume @p20 (exists @t7 (and @t6 @t8))) % 15.52/15.82 (assume @p21 (forall @t7 (=> @t28 (exists @t19 (and @t33 (not @t32)))))) % 15.52/15.82 (assume @p22 (exists @t7 @t6)) % 15.52/15.82 (assume @p23 (exists @t7 @t11)) % 15.52/15.82 (assume @p24 (exists @t7 @t29)) % 15.52/15.82 (assume @p25 (forall @t7 (exists @t19 (and @t33 @t32)))) % 15.52/15.82 (assume @p26 (exists @t7 @t28)) % 15.52/15.82 (assume @p27 (exists @t7 @t10)) % 15.52/15.82 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 15.52/15.82 (assume @p29 (forall @t4 (tptp.subset @t1 @t1))) % 15.52/15.82 (assume @p30 (forall @t4 (=> @t3 @t34))) % 15.52/15.82 (assume @p31 @t48) % 15.52/15.82 (assume @p32 (forall @t4 (=> @t34 (or @t32 @t3)))) % 15.52/15.82 (assume @p33 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 15.52/15.82 (assume @p34 (forall @t50 (=> (and @t3 @t49) (tptp.element @t1 @t36)))) % 15.52/15.82 (assume @p35 @t68) % 15.52/15.82 (assume @p36 @t75) % 15.52/15.82 (assume @p37 (forall @t50 (not (and @t3 @t49 (tptp.empty @t36))))) % 15.52/15.82 (assume @p38 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 15.52/15.82 (assume @p39 (forall @t4 (not (and @t3 @t32)))) % 15.52/15.82 (assume @p40 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t32)))) % 15.52/15.82 (assume @p41 true) % 15.52/15.82 (step @p42 :rule aci_norm :args ((= @t85 @t83))) % 15.52/15.82 (step @p43 :rule cong :premises (@p42) :args (@t87)) % 15.52/15.82 (step @p44 :rule quant-merge-prenex :args ((= (forall @t4 @t89) @t87))) % 15.52/15.82 (step @p45 :rule alpha_equiv :args (@t90 (@list @t76) (@list @t36))) % 15.52/15.82 (step @p46 :rule refl :args (@t80)) % 15.52/15.82 (step @p47 :rule refl :args (@t81)) % 15.52/15.82 (step @p48 :rule refl :args (@t82)) % 15.52/15.82 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p45) :args (@t91)) % 15.52/15.82 (step @p50 :rule quant-miniscope-or :args ((= @t89 @t91))) % 15.52/15.82 (step @p51 :rule trans :premises (@p50 @p49)) % 15.52/15.82 (step @p52 :rule symm :premises (@p51)) % 15.52/15.82 (step @p53 :rule cong :premises (@p52) :args ((forall @t4 @t96))) % 15.52/15.82 (step @p54 :rule trans :premises (@p53 @p44)) % 15.52/15.82 (step @p55 :rule trans :premises (@p54 @p43)) % 15.52/15.82 (step @p56 :rule aci_norm :args ((= (or @t98 @t97) @t96))) % 15.52/15.82 (step @p57 :rule refl :args (@t97)) % 15.52/15.82 (step @p58 :rule bool-and-de-morgan :args (@t18 @t24 true)) % 15.52/15.82 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t99 @t97))) % 15.52/15.82 (step @p60 :rule trans :premises (@p59 @p56)) % 15.52/15.82 (step @p61 :rule bool-impl-elim :args (@t46 @t97)) % 15.52/15.82 (step @p62 :rule trans :premises (@p61 @p60)) % 15.52/15.82 (step @p63 :rule cong :premises (@p62) :args ((forall @t4 (=> @t46 @t97)))) % 15.52/15.82 (step @p64 :rule trans :premises (@p63 @p55)) % 15.52/15.82 (step @p65 :rule quant-miniscope-or :args ((= (forall @t44 @t100) @t97))) % 15.52/15.82 (step @p66 :rule aci_norm :args ((= @t101 @t100))) % 15.52/15.82 (step @p67 :rule cong :premises (@p66) :args ((forall @t44 @t101))) % 15.52/15.82 (step @p68 :rule trans :premises (@p67 @p65)) % 15.52/15.82 (step @p69 :rule aci_norm :args ((= (or (or @t93 @t92) (or @t80 @t37)) @t101))) % 15.52/15.82 (step @p70 :rule bool-impl-elim :args (@t39 @t37)) % 15.52/15.82 (step @p71 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 15.52/15.82 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t43) @t40))) % 15.52/15.82 (step @p73 :rule trans :premises (@p72 @p69)) % 15.52/15.82 (step @p74 :rule bool-impl-elim :args (@t43 @t40)) % 15.52/15.82 (step @p75 :rule trans :premises (@p74 @p73)) % 15.52/15.82 (step @p76 :rule cong :premises (@p75) :args (@t45)) % 15.52/15.82 (step @p77 :rule trans :premises (@p76 @p68)) % 15.52/15.82 (step @p78 :rule refl :args (@t46)) % 15.52/15.82 (step @p79 :rule cong :premises (@p78 @p77) :args (@t47)) % 15.52/15.82 (step @p80 :rule cong :premises (@p79) :args (@t48)) % 15.52/15.82 (step @p81 :rule trans :premises (@p80 @p64)) % 15.52/15.82 (step @p82 :rule eq_resolve :premises (@p31 @p81)) % 15.52/15.82 (step @p83 :rule eq-symm :args (@t108 @t110)) % 15.52/15.82 (step @p84 :rule refl :args (@t112)) % 15.52/15.82 (step @p85 :rule refl :args (@t114)) % 15.52/15.82 (step @p86 :rule refl :args (@t117)) % 15.52/15.82 (step @p87 :rule refl :args (@t119)) % 15.52/15.82 (step @p88 :rule refl :args (@t121)) % 15.52/15.82 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85 @p84 @p83) :args (@t122)) % 15.52/15.82 (step @p90 :rule refl :args (@t123)) % 15.52/15.82 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t123 @t122))) % 15.52/15.82 (assume-push @p325 @t123) % 15.52/15.82 (step @p93 :rule instantiate :premises (@p82) :args ((@list @t105 @t106 @t107))) % 15.52/15.82 (step-pop @p326 :rule scope :premises (@p93)) % 15.52/15.82 (step @p94 :rule process_scope :premises (@p326) :args (@t122)) % 15.52/15.82 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 15.52/15.82 (step @p97 :rule implies_elim :premises (@p96)) % 15.52/15.82 (step @p98 :rule chain_m_resolution :premises (@p97 @p82) :args (@t125 @t126 (@list @t123))) % 15.52/15.82 (step @p99 :rule aci_norm :args ((= (or @t129 @t13) (or @t128 @t127 @t13)))) % 15.52/15.82 (step @p100 :rule refl :args (@t13)) % 15.52/15.82 (step @p101 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 15.52/15.82 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t130 @t13))) % 15.52/15.82 (step @p103 :rule trans :premises (@p102 @p99)) % 15.52/15.82 (step @p104 :rule bool-impl-elim :args (@t14 @t13)) % 15.52/15.82 (step @p105 :rule trans :premises (@p104 @p103)) % 15.52/15.82 (step @p106 :rule cong :premises (@p105) :args (@t15)) % 15.52/15.82 (step @p107 :rule eq_resolve :premises (@p5 @p106)) % 15.52/15.82 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t106))) % 15.52/15.82 (step @p109 :rule aci_norm :args ((= (or @t98 @t131) @t103))) % 15.52/15.82 (step @p110 :rule aci_norm :args ((= (or (or @t102 @t80) @t70) @t131))) % 15.52/15.82 (step @p111 :rule refl :args (@t70)) % 15.52/15.82 (step @p112 :rule bool-and-de-morgan :args (@t71 @t39 true)) % 15.52/15.82 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t72) @t70))) % 15.52/15.82 (step @p114 :rule trans :premises (@p113 @p110)) % 15.52/15.82 (step @p115 :rule bool-impl-elim :args (@t72 @t70)) % 15.52/15.82 (step @p116 :rule trans :premises (@p115 @p114)) % 15.52/15.82 (step @p117 :rule nary_cong :premises (@p58 @p116) :args ((or @t99 @t73))) % 15.52/15.82 (step @p118 :rule trans :premises (@p117 @p109)) % 15.52/15.82 (step @p119 :rule bool-impl-elim :args (@t46 @t73)) % 15.52/15.82 (step @p120 :rule trans :premises (@p119 @p118)) % 15.52/15.82 (step @p121 :rule cong :premises (@p120) :args (@t74)) % 15.52/15.82 (step @p122 :rule cong :premises (@p121) :args (@t75)) % 15.52/15.82 (step @p123 :rule eq_resolve :premises (@p36 @p122)) % 15.52/15.82 (step @p124 :rule skolemize :premises (@p123)) % 15.52/15.82 (step @p125 :rule bool-double-not-elim :args (@t118)) % 15.52/15.82 (step @p126 :rule refl :args (@t137)) % 15.52/15.82 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t137 (not @t119)))) % 15.52/15.82 (step @p128 :rule cnf_or_neg :args (@t137 1)) % 15.52/15.82 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 15.52/15.82 (step @p130 :rule reordering :premises (@p129) :args ((or @t118 @t137))) % 15.52/15.82 (step @p131 :rule chain_m_resolution :premises (@p130 @p124) :args (@t118 @t138 @t139)) % 15.52/15.82 (step @p132 :rule bool-double-not-elim :args (@t120)) % 15.52/15.82 (step @p133 :rule nary_cong :premises (@p126 @p132) :args ((or @t137 (not @t121)))) % 15.52/15.82 (step @p134 :rule cnf_or_neg :args (@t137 0)) % 15.52/15.82 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 15.52/15.82 (step @p136 :rule reordering :premises (@p135) :args ((or @t120 @t137))) % 15.52/15.82 (step @p137 :rule chain_m_resolution :premises (@p136 @p124) :args (@t120 @t138 @t139)) % 15.52/15.82 (step @p138 :rule cnf_or_pos :args (@t141)) % 15.52/15.82 (step @p139 :rule reordering :premises (@p138) :args ((or @t121 @t119 @t140 (not @t141)))) % 15.52/15.82 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p131 @p108) :args (@t140 (@list false false false) (@list @t120 @t118 @t141))) % 15.52/15.82 (step @p141 :rule cnf_and_pos :args (@t140 1)) % 15.52/15.82 (step @p142 :rule reordering :premises (@p141) :args ((or @t111 @t142))) % 15.52/15.82 (step @p143 :rule chain_m_resolution :premises (@p142 @p140) :args (@t111 @t126 @t143)) % 15.52/15.82 (step @p144 :rule cnf_and_pos :args (@t140 0)) % 15.52/15.82 (step @p145 :rule reordering :premises (@p144) :args ((or @t113 @t142))) % 15.52/15.82 (step @p146 :rule chain_m_resolution :premises (@p145 @p140) :args (@t113 @t126 @t143)) % 15.52/15.82 (step @p147 :rule bool-double-not-elim :args (@t116)) % 15.52/15.82 (step @p148 :rule nary_cong :premises (@p126 @p147) :args ((or @t137 (not @t117)))) % 15.52/15.82 (step @p149 :rule cnf_or_neg :args (@t137 3)) % 15.52/15.82 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 15.52/15.82 (step @p151 :rule reordering :premises (@p150) :args ((or @t116 @t137))) % 15.52/15.82 (step @p152 :rule chain_m_resolution :premises (@p151 @p124) :args (@t116 @t138 @t139)) % 15.52/15.82 (step @p153 :rule cnf_or_pos :args (@t125)) % 15.52/15.82 (step @p154 :rule reordering :premises (@p153) :args ((or @t121 @t119 @t117 @t114 @t112 @t124 (not @t125)))) % 15.52/15.82 (step @p155 :rule chain_m_resolution :premises (@p154 @p137 @p131 @p152 @p146 @p143 @p98) :args (@t124 @t144 (@list @t120 @t118 @t116 @t113 @t111 @t125))) % 15.52/15.82 (step @p156 :rule eq-symm :args (@t146 @t156)) % 15.52/15.82 (step @p157 :rule refl :args (@t156)) % 15.52/15.82 (step @p158 :rule eq-symm :args (@t145 @t12)) % 15.52/15.82 (step @p159 :rule cong :premises (@p158 @p157) :args (@t157)) % 15.52/15.82 (step @p160 :rule trans :premises (@p159 @p156)) % 15.52/15.82 (step @p161 :rule refl :args (@t158)) % 15.52/15.82 (step @p162 :rule refl :args (@t159)) % 15.52/15.82 (step @p163 :rule refl :args (@t160)) % 15.52/15.82 (step @p164 :rule refl :args (@t127)) % 15.52/15.82 (step @p165 :rule refl :args (@t128)) % 15.52/15.82 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163 @p162 @p161 @p160) :args (@t161)) % 15.52/15.82 (step @p167 :rule aci_norm :args ((= @t163 @t161))) % 15.52/15.82 (step @p168 :rule trans :premises (@p167 @p166)) % 15.52/15.82 (step @p169 :rule cong :premises (@p168) :args (@t165)) % 15.52/15.82 (step @p170 :rule quant-merge-prenex :args ((= (forall @t7 @t167) @t165))) % 15.52/15.82 (step @p171 :rule alpha_equiv :args (@t168 (@list @t145) (@list @t2))) % 15.52/15.82 (step @p172 :rule refl :args (@t160)) % 15.52/15.82 (step @p173 :rule refl :args (@t127)) % 15.52/15.82 (step @p174 :rule refl :args (@t128)) % 15.52/15.82 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172 @p171) :args (@t169)) % 15.52/15.82 (step @p176 :rule quant-miniscope-or :args ((= @t167 @t169))) % 15.52/15.82 (step @p177 :rule trans :premises (@p176 @p175)) % 15.52/15.82 (step @p178 :rule symm :premises (@p177)) % 15.52/15.82 (step @p179 :rule cong :premises (@p178) :args ((forall @t7 @t182))) % 15.52/15.82 (step @p180 :rule trans :premises (@p179 @p170)) % 15.52/15.82 (step @p181 :rule trans :premises (@p180 @p169)) % 15.52/15.82 (step @p182 :rule aci_norm :args ((= (or @t129 (or @t160 @t181)) @t182))) % 15.52/15.82 (step @p183 :rule bool-impl-elim :args (@t9 @t181)) % 15.52/15.82 (step @p184 :rule nary_cong :premises (@p101 @p183) :args ((or @t130 @t183))) % 15.52/15.82 (step @p185 :rule trans :premises (@p184 @p182)) % 15.52/15.82 (step @p186 :rule bool-impl-elim :args (@t14 @t183)) % 15.52/15.82 (step @p187 :rule trans :premises (@p186 @p185)) % 15.52/15.82 (step @p188 :rule cong :premises (@p187) :args ((forall @t7 (=> @t14 @t183)))) % 15.52/15.82 (step @p189 :rule trans :premises (@p188 @p181)) % 15.52/15.82 (step @p190 :rule aci_norm :args ((= (or @t98 @t179) @t180))) % 15.52/15.82 (step @p191 :rule refl :args (@t179)) % 15.52/15.82 (step @p192 :rule nary_cong :premises (@p58 @p191) :args ((or @t99 @t179))) % 15.52/15.82 (step @p193 :rule trans :premises (@p192 @p190)) % 15.52/15.82 (step @p194 :rule bool-impl-elim :args (@t46 @t179)) % 15.52/15.82 (step @p195 :rule trans :premises (@p194 @p193)) % 15.52/15.82 (step @p196 :rule cong :premises (@p195) :args ((forall @t19 (=> @t46 @t179)))) % 15.52/15.82 (step @p197 :rule aci_norm :args ((= (and @t177 (and @t176 @t172)) @t178))) % 15.52/15.82 (step @p198 :rule aci_norm :args ((= (or @t150 false @t170) @t171))) % 15.52/15.82 (step @p199 :rule refl :args (@t170)) % 15.52/15.82 (step @p200 :rule evaluate :args ((not true))) % 15.52/15.82 (step @p201 :rule eq-refl :args (@t148)) % 15.52/15.82 (step @p202 :rule cong :premises (@p201) :args (@t184)) % 15.52/15.82 (step @p203 :rule trans :premises (@p202 @p200)) % 15.52/15.82 (step @p204 :rule refl :args (@t150)) % 15.52/15.82 (step @p205 :rule nary_cong :premises (@p204 @p203 @p199) :args (@t185)) % 15.52/15.82 (step @p206 :rule trans :premises (@p205 @p198)) % 15.52/15.82 (step @p207 :rule cong :premises (@p206) :args ((forall @t151 @t185))) % 15.52/15.82 (step @p208 :rule quant-var-elim-eq :args ((= (forall @t190 @t189) @t185))) % 15.52/15.82 (step @p209 :rule aci_norm :args ((= @t191 @t189))) % 15.52/15.82 (step @p210 :rule cong :premises (@p209) :args (@t192)) % 15.52/15.82 (step @p211 :rule trans :premises (@p210 @p208)) % 15.52/15.82 (step @p212 :rule cong :premises (@p211) :args (@t193)) % 15.52/15.82 (step @p213 :rule quant-merge-prenex :args ((= @t193 @t194))) % 15.52/15.82 (step @p214 :rule symm :premises (@p213)) % 15.52/15.82 (step @p215 :rule quant_var_reordering :args ((= @t195 @t194))) % 15.52/15.82 (step @p216 :rule trans :premises (@p215 @p214 @p212)) % 15.52/15.82 (step @p217 :rule trans :premises (@p216 @p207)) % 15.52/15.82 (step @p218 :rule aci_norm :args ((= (or @t154 false @t174) @t175))) % 15.52/15.82 (step @p219 :rule refl :args (@t174)) % 15.52/15.82 (step @p220 :rule eq-refl :args (@t173)) % 15.52/15.82 (step @p221 :rule cong :premises (@p220) :args (@t196)) % 15.52/15.82 (step @p222 :rule trans :premises (@p221 @p200)) % 15.52/15.82 (step @p223 :rule refl :args (@t154)) % 15.52/15.82 (step @p224 :rule nary_cong :premises (@p223 @p222 @p219) :args (@t197)) % 15.52/15.82 (step @p225 :rule trans :premises (@p224 @p218)) % 15.52/15.82 (step @p226 :rule cong :premises (@p225) :args ((forall @t155 @t197))) % 15.52/15.82 (step @p227 :rule quant-var-elim-eq :args ((= (forall @t202 @t201) @t197))) % 15.52/15.82 (step @p228 :rule aci_norm :args ((= @t203 @t201))) % 15.52/15.82 (step @p229 :rule cong :premises (@p228) :args (@t204)) % 15.52/15.82 (step @p230 :rule trans :premises (@p229 @p227)) % 15.52/15.82 (step @p231 :rule cong :premises (@p230) :args (@t205)) % 15.52/15.82 (step @p232 :rule quant-merge-prenex :args ((= @t205 @t206))) % 15.52/15.82 (step @p233 :rule symm :premises (@p232)) % 15.52/15.82 (step @p234 :rule trans :premises (@p233 @p231)) % 15.52/15.82 (step @p235 :rule trans :premises (@p234 @p226)) % 15.52/15.82 (step @p236 :rule nary_cong :premises (@p235 @p217) :args ((and @t206 @t195))) % 15.52/15.82 (step @p237 :rule alpha_equiv :args (@t210 @t211 (@list @t186 @t147))) % 15.52/15.82 (step @p238 :rule alpha_equiv :args (@t215 @t211 (@list @t152 @t198))) % 15.52/15.82 (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t216)) % 15.52/15.82 (step @p240 :rule quant-miniscope-and :args ((= (forall @t59 (and @t214 @t209)) @t216))) % 15.52/15.82 (step @p241 :rule trans :premises (@p240 @p239)) % 15.52/15.82 (step @p242 :rule trans :premises (@p241 @p236)) % 15.52/15.82 (step @p243 :rule aci_norm :args ((= (or (or @t208 @t207) @t54) @t209))) % 15.52/15.82 (step @p244 :rule refl :args (@t54)) % 15.52/15.82 (step @p245 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 15.52/15.82 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or (not @t57) @t54))) % 15.52/15.82 (step @p247 :rule trans :premises (@p246 @p243)) % 15.52/15.82 (step @p248 :rule bool-impl-elim :args (@t57 @t54)) % 15.52/15.82 (step @p249 :rule trans :premises (@p248 @p247)) % 15.52/15.82 (step @p250 :rule aci_norm :args ((= (or (or @t213 @t212) @t57) @t214))) % 15.52/15.82 (step @p251 :rule refl :args (@t57)) % 15.52/15.82 (step @p252 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 15.52/15.82 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t54) @t57))) % 15.52/15.82 (step @p254 :rule trans :premises (@p253 @p250)) % 15.52/15.82 (step @p255 :rule bool-impl-elim :args (@t54 @t57)) % 15.52/15.82 (step @p256 :rule trans :premises (@p255 @p254)) % 15.52/15.82 (step @p257 :rule nary_cong :premises (@p256 @p249) :args (@t58)) % 15.52/15.82 (step @p258 :rule cong :premises (@p257) :args (@t60)) % 15.52/15.82 (step @p259 :rule trans :premises (@p258 @p242)) % 15.52/15.82 (step @p260 :rule eq-symm :args (@t38 @t30)) % 15.52/15.82 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t61)) % 15.52/15.82 (step @p262 :rule trans :premises (@p261 @p197)) % 15.52/15.82 (step @p263 :rule refl :args (@t62)) % 15.52/15.82 (step @p264 :rule cong :premises (@p263 @p262) :args (@t63)) % 15.52/15.82 (step @p265 :rule cong :premises (@p78 @p264) :args (@t64)) % 15.52/15.82 (step @p266 :rule cong :premises (@p265) :args (@t65)) % 15.52/15.82 (step @p267 :rule trans :premises (@p266 @p196)) % 15.52/15.82 (step @p268 :rule refl :args (@t9)) % 15.52/15.82 (step @p269 :rule cong :premises (@p268 @p267) :args (@t66)) % 15.52/15.82 (step @p270 :rule refl :args (@t14)) % 15.52/15.82 (step @p271 :rule cong :premises (@p270 @p269) :args (@t67)) % 15.52/15.82 (step @p272 :rule cong :premises (@p271) :args (@t68)) % 15.52/15.82 (step @p273 :rule trans :premises (@p272 @p189)) % 15.52/15.82 (step @p274 :rule eq_resolve :premises (@p35 @p273)) % 15.52/15.82 (step @p275 :rule bool-eq-true :args (@t221)) % 15.52/15.82 (step @p276 :rule eq-refl :args (@t107)) % 15.52/15.82 (step @p277 :rule refl :args (@t221)) % 15.52/15.82 (step @p278 :rule cong :premises (@p277 @p276) :args (@t222)) % 15.52/15.82 (step @p279 :rule trans :premises (@p278 @p275)) % 15.52/15.82 (step @p280 :rule refl :args (@t136)) % 15.52/15.82 (step @p281 :rule nary_cong :premises (@p88 @p87 @p280 @p85 @p84 @p279) :args (@t223)) % 15.52/15.82 (step @p282 :rule refl :args (@t224)) % 15.52/15.82 (step @p283 :rule cong :premises (@p282 @p281) :args ((=> @t224 @t223))) % 15.52/15.82 (assume-push @p327 @t224) % 15.52/15.82 (step @p285 :rule instantiate :premises (@p274) :args ((@list @t106 @t107))) % 15.52/15.82 (step-pop @p328 :rule scope :premises (@p285)) % 15.52/15.82 (step @p286 :rule process_scope :premises (@p328) :args (@t223)) % 15.52/15.82 (step @p288 :rule eq_resolve :premises (@p286 @p283)) % 15.52/15.82 (step @p289 :rule implies_elim :premises (@p288)) % 15.52/15.82 (step @p290 :rule chain_m_resolution :premises (@p289 @p274) :args (@t225 @t126 (@list @t224))) % 15.52/15.82 (step @p291 :rule bool-double-not-elim :args (@t135)) % 15.52/15.82 (step @p292 :rule nary_cong :premises (@p126 @p291) :args ((or @t137 (not @t136)))) % 15.52/15.82 (step @p293 :rule cnf_or_neg :args (@t137 2)) % 15.52/15.82 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 15.52/15.82 (step @p295 :rule reordering :premises (@p294) :args ((or @t135 @t137))) % 15.52/15.82 (step @p296 :rule chain_m_resolution :premises (@p295 @p124) :args (@t135 @t138 @t139)) % 15.52/15.82 (step @p297 :rule cnf_or_pos :args (@t225)) % 15.52/15.82 (step @p298 :rule reordering :premises (@p297) :args ((or @t121 @t119 @t136 @t114 @t112 @t221 (not @t225)))) % 15.52/15.82 (step @p299 :rule chain_m_resolution :premises (@p298 @p137 @p131 @p296 @p146 @p143 @p290) :args (@t221 @t144 (@list @t120 @t118 @t135 @t113 @t111 @t225))) % 15.52/15.82 (step @p300 :rule cnf_and_pos :args (@t221 2)) % 15.52/15.82 (step @p301 :rule reordering :premises (@p300) :args ((or @t219 (not @t221)))) % 15.52/15.82 (step @p302 :rule chain_m_resolution :premises (@p301 @p299) :args (@t219 @t126 (@list @t221))) % 15.52/15.82 (step @p303 :rule instantiate :premises (@p302) :args ((@list @t105))) % 15.52/15.82 (step @p304 :rule cnf_or_pos :args (@t227)) % 15.52/15.82 (step @p305 :rule reordering :premises (@p304) :args ((or @t117 @t226 (not @t227)))) % 15.52/15.82 (step @p306 :rule chain_m_resolution :premises (@p305 @p152 @p303) :args (@t226 (@list false false) (@list @t116 @t227))) % 15.52/15.82 (step @p307 :rule cnf_and_pos :args (@t226 1)) % 15.52/15.82 (step @p308 :rule reordering :premises (@p307) :args ((or @t133 (not @t226)))) % 15.52/15.82 (step @p309 :rule chain_m_resolution :premises (@p308 @p306) :args (@t133 @t126 (@list @t226))) % 15.52/15.82 (step @p310 :rule cnf_or_neg :args (@t137 4)) % 15.52/15.82 (step @p311 :rule chain_m_resolution :premises (@p310 @p124) :args ((not @t134) @t138 @t139)) % 15.52/15.82 (step @p312 :rule cnf_and_neg :args (@t134)) % 15.52/15.82 (step @p313 :rule chain_m_resolution :premises (@p312 @p311 @p309) :args ((not @t132) (@list true false) (@list @t134 @t133))) % 15.52/15.82 (assume-push @p329 @t133) % 15.52/15.82 (assume-push @p330 @t124) % 15.52/15.82 (step @p316 :rule trans :premises (@p309 @p155)) % 15.52/15.82 (step-pop @p331 :rule scope :premises (@p316)) % 15.52/15.82 (step-pop @p332 :rule scope :premises (@p331)) % 15.52/15.82 (step @p317 :rule process_scope :premises (@p332) :args (@t132)) % 15.52/15.82 (step @p320 :rule implies_elim :premises (@p317)) % 15.52/15.82 (step @p321 :rule cnf_and_neg :args (@t228)) % 15.52/15.82 (step @p322 :rule resolution :premises (@p321 @p320) :args (true @t228)) % 15.52/15.82 (step @p323 :rule reordering :premises (@p322) :args ((or @t132 (not @t133) (not @t124)))) % 15.52/15.82 (step @p324 false :rule chain_m_resolution :premises (@p323 @p313 @p309 @p155) :args (false (@list true false false) (@list @t132 @t133 @t124))) % 15.52/15.82 ) % 15.52/15.82 % SZS output end Proof % 15.52/15.82 % cvc5 exiting %------------------------------------------------------------------------------