%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT062+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:54 AM UTC 2026 % Result : Theorem 0.29s 0.60s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT062+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n005.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Mon Sep 7 13:38:20 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.60 % SZS status Theorem % 0.29/0.60 % SZS output start Proof % 0.29/0.60 ( % 0.29/0.60 (declare-sort $$unsorted 0) % 0.29/0.60 (declare-const tptp.mod1 $$unsorted) % 0.29/0.60 (declare-const tptp.mod2 $$unsorted) % 0.29/0.60 (declare-const tptp.robust_position (-> $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.low $$unsorted) % 0.29/0.60 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.60 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.60 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.tau $$unsorted) % 0.29/0.60 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.very_low $$unsorted) % 0.29/0.60 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.zero $$unsorted) % 0.29/0.60 (declare-const tptp.high $$unsorted) % 0.29/0.60 (declare-const tptp.sigma $$unsorted) % 0.29/0.60 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (define @t1 () (@var "Y" $$unsorted)) % 0.29/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.29/0.60 (define @t3 () (= @t2 @t1)) % 0.29/0.60 (define @t4 () (tptp.smaller @t2 @t1)) % 0.29/0.60 (define @t5 () (@list @t2 @t1)) % 0.29/0.60 (define @t6 () (tptp.greater @t2 @t1)) % 0.29/0.60 (define @t7 () (tptp.greater @t1 @t2)) % 0.29/0.60 (define @t8 () (forall @t5 (= @t4 @t7))) % 0.29/0.60 (define @t9 () (@var "Z" $$unsorted)) % 0.29/0.60 (define @t10 () (@var "T" $$unsorted)) % 0.29/0.60 (define @t11 () (tptp.has_immunity @t2 @t10)) % 0.29/0.60 (define @t12 () (not @t11)) % 0.29/0.60 (define @t13 () (tptp.has_endowment @t2)) % 0.29/0.60 (define @t14 () (not @t13)) % 0.29/0.60 (define @t15 () (tptp.organization @t2)) % 0.29/0.60 (define @t16 () (and @t15 @t14)) % 0.29/0.60 (define @t17 () (@list @t2 @t10)) % 0.29/0.60 (define @t18 () (forall @t17 (=> @t16 @t12))) % 0.29/0.60 (define @t19 () (tptp.is_aligned @t2 @t10)) % 0.29/0.60 (define @t20 () (@var "T0" $$unsorted)) % 0.29/0.60 (define @t21 () (tptp.is_aligned @t2 @t20)) % 0.29/0.60 (define @t22 () (and @t15 (not (= @t21 @t19)))) % 0.29/0.60 (define @t23 () (tptp.dissimilar @t2 @t20 @t10)) % 0.29/0.60 (define @t24 () (= @t23 @t22)) % 0.29/0.60 (define @t25 () (@list @t2 @t20 @t10)) % 0.29/0.60 (define @t26 () (forall @t25 @t24)) % 0.29/0.60 (define @t27 () (tptp.age @t2 @t10)) % 0.29/0.60 (define @t28 () (and @t15 (= @t27 tptp.zero))) % 0.29/0.60 (define @t29 () (=> @t28 @t19)) % 0.29/0.60 (define @t30 () (forall @t17 @t29)) % 0.29/0.60 (define @t31 () (tptp.greater @t27 tptp.sigma)) % 0.29/0.60 (define @t32 () (tptp.age @t2 @t20)) % 0.29/0.60 (define @t33 () (= @t32 tptp.zero)) % 0.29/0.60 (define @t34 () (and @t15 @t33)) % 0.29/0.60 (define @t35 () (=> @t34 (= @t31 @t23))) % 0.29/0.60 (define @t36 () (forall @t25 @t35)) % 0.29/0.60 (define @t37 () (tptp.positional_advantage @t2 @t10)) % 0.29/0.60 (define @t38 () (tptp.greater @t27 tptp.tau)) % 0.29/0.60 (define @t39 () (not @t37)) % 0.29/0.60 (define @t40 () (tptp.smaller_or_equal @t27 tptp.tau)) % 0.29/0.60 (define @t41 () (and (=> @t40 @t39) (=> @t38 @t37))) % 0.29/0.60 (define @t42 () (@list @t10)) % 0.29/0.60 (define @t43 () (forall @t42 @t41)) % 0.29/0.60 (define @t44 () (tptp.robust_position @t2)) % 0.29/0.60 (define @t45 () (= @t44 @t43)) % 0.29/0.60 (define @t46 () (forall (@list @t2) @t45)) % 0.29/0.60 (define @t47 () (tptp.hazard_of_mortality @t2 @t10)) % 0.29/0.60 (define @t48 () (not @t19)) % 0.29/0.60 (define @t49 () (and @t48 @t39)) % 0.29/0.60 (define @t50 () (=> @t49 (= @t47 tptp.high))) % 0.29/0.60 (define @t51 () (and @t19 @t39)) % 0.29/0.60 (define @t52 () (=> @t51 (= @t47 tptp.mod2))) % 0.29/0.60 (define @t53 () (and @t48 @t37)) % 0.29/0.60 (define @t54 () (=> @t53 (= @t47 tptp.mod1))) % 0.29/0.60 (define @t55 () (and @t19 @t37)) % 0.29/0.60 (define @t56 () (=> @t55 (= @t47 tptp.low))) % 0.29/0.60 (define @t57 () (and @t56 @t54 @t52 @t50)) % 0.29/0.60 (define @t58 () (=> @t12 @t57)) % 0.29/0.60 (define @t59 () (=> @t11 (= @t47 tptp.very_low))) % 0.29/0.60 (define @t60 () (and @t59 @t58)) % 0.29/0.60 (define @t61 () (=> @t15 @t60)) % 0.29/0.60 (define @t62 () (forall @t17 @t61)) % 0.29/0.60 (define @t63 () (tptp.greater tptp.mod2 tptp.mod1)) % 0.29/0.60 (define @t64 () (@var "T1" $$unsorted)) % 0.29/0.60 (define @t65 () (tptp.hazard_of_mortality @t2 @t64)) % 0.29/0.60 (define @t66 () (@var "T2" $$unsorted)) % 0.29/0.60 (define @t67 () (and (tptp.smaller (tptp.hazard_of_mortality @t2 @t66) @t65) (= @t65 (tptp.hazard_of_mortality @t2 @t20)))) % 0.29/0.60 (define @t68 () (tptp.greater (tptp.age @t2 @t66) tptp.sigma)) % 0.29/0.60 (define @t69 () (tptp.smaller_or_equal (tptp.age @t2 @t64) tptp.sigma)) % 0.29/0.60 (define @t70 () (= tptp.sigma tptp.tau)) % 0.29/0.60 (define @t71 () (tptp.greater tptp.tau tptp.zero)) % 0.29/0.60 (define @t72 () (tptp.greater tptp.sigma tptp.zero)) % 0.29/0.60 (define @t73 () (and @t15 @t44 @t14 @t33 @t72 @t71 @t70 @t69 @t68)) % 0.29/0.60 (define @t74 () (=> @t73 @t67)) % 0.29/0.60 (define @t75 () (@list @t2 @t20 @t64 @t66)) % 0.29/0.60 (define @t76 () (forall @t75 @t74)) % 0.29/0.60 (define @t77 () (not @t76)) % 0.29/0.60 (define @t78 () (or (not @t38) @t37)) % 0.29/0.60 (define @t79 () (forall @t42 @t78)) % 0.29/0.60 (define @t80 () (@list @t10)) % 0.29/0.60 (define @t81 () (@var "BOUND_VARIABLE_7612" $$unsorted)) % 0.29/0.60 (define @t82 () (or (not @t40) @t39)) % 0.29/0.60 (define @t83 () (forall @t42 @t82)) % 0.29/0.60 (define @t84 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 0.29/0.60 (define @t85 () (and @t83 @t79)) % 0.29/0.60 (define @t86 () (not @t68)) % 0.29/0.60 (define @t87 () (not @t69)) % 0.29/0.60 (define @t88 () (= tptp.zero @t32)) % 0.29/0.60 (define @t89 () (not @t88)) % 0.29/0.60 (define @t90 () (not @t44)) % 0.29/0.60 (define @t91 () (not @t15)) % 0.29/0.60 (define @t92 () (or @t91 @t90 @t13 @t89 @t87 @t86 @t67)) % 0.29/0.60 (define @t93 () (forall @t75 @t92)) % 0.29/0.60 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.29/0.60 (define @t95 () (not @t70)) % 0.29/0.60 (define @t96 () (not @t71)) % 0.29/0.60 (define @t97 () (not @t72)) % 0.29/0.60 (define @t98 () (or @t97 @t96 @t95 @t92)) % 0.29/0.60 (define @t99 () (or @t91 @t90 @t13 @t89 @t97 @t96 @t95 @t87 @t86 @t67)) % 0.29/0.60 (define @t100 () (not @t14)) % 0.29/0.60 (define @t101 () (or @t91 @t90 @t100 @t89 @t97 @t96 @t95 @t87 @t86)) % 0.29/0.60 (define @t102 () (and @t15 @t44 @t14 @t88 @t72 @t71 @t70 @t69 @t68)) % 0.29/0.60 (define @t103 () (tptp.robust_position @t94)) % 0.29/0.60 (define @t104 () (@quantifiers_skolemize @t93 1)) % 0.29/0.60 (define @t105 () (tptp.hazard_of_mortality @t94 @t104)) % 0.29/0.60 (define @t106 () (@quantifiers_skolemize @t93 2)) % 0.29/0.60 (define @t107 () (tptp.hazard_of_mortality @t94 @t106)) % 0.29/0.60 (define @t108 () (= @t107 @t105)) % 0.29/0.60 (define @t109 () (@quantifiers_skolemize @t93 3)) % 0.29/0.60 (define @t110 () (tptp.hazard_of_mortality @t94 @t109)) % 0.29/0.60 (define @t111 () (tptp.smaller @t110 @t107)) % 0.29/0.60 (define @t112 () (and @t111 @t108)) % 0.29/0.60 (define @t113 () (tptp.age @t94 @t109)) % 0.29/0.60 (define @t114 () (tptp.greater @t113 tptp.sigma)) % 0.29/0.60 (define @t115 () (not @t114)) % 0.29/0.60 (define @t116 () (tptp.age @t94 @t106)) % 0.29/0.60 (define @t117 () (tptp.smaller_or_equal @t116 tptp.sigma)) % 0.29/0.60 (define @t118 () (not @t117)) % 0.29/0.60 (define @t119 () (tptp.age @t94 @t104)) % 0.29/0.60 (define @t120 () (= tptp.zero @t119)) % 0.29/0.60 (define @t121 () (not @t120)) % 0.29/0.60 (define @t122 () (tptp.has_endowment @t94)) % 0.29/0.60 (define @t123 () (not @t103)) % 0.29/0.60 (define @t124 () (tptp.organization @t94)) % 0.29/0.60 (define @t125 () (not @t124)) % 0.29/0.60 (define @t126 () (or @t125 @t123 @t122 @t121 @t118 @t115 @t112)) % 0.29/0.60 (define @t127 () (@list true)) % 0.29/0.60 (define @t128 () (@list @t126)) % 0.29/0.60 (define @t129 () (forall (@list @t81) (or (not (tptp.greater (tptp.age @t94 @t81) tptp.tau)) (tptp.positional_advantage @t94 @t81)))) % 0.29/0.60 (define @t130 () (forall (@list @t84) (or (not (tptp.smaller_or_equal (tptp.age @t94 @t84) tptp.tau)) (not (tptp.positional_advantage @t94 @t84))))) % 0.29/0.60 (define @t131 () (and @t130 @t129)) % 0.29/0.60 (define @t132 () (= @t103 @t131)) % 0.29/0.60 (define @t133 () (@list false false)) % 0.29/0.60 (define @t134 () (not @t131)) % 0.29/0.60 (define @t135 () (@list false)) % 0.29/0.60 (define @t136 () (@list @t131)) % 0.29/0.60 (define @t137 () (= tptp.high @t47)) % 0.29/0.60 (define @t138 () (not @t39)) % 0.29/0.60 (define @t139 () (not @t48)) % 0.29/0.60 (define @t140 () (= tptp.mod2 @t47)) % 0.29/0.60 (define @t141 () (= tptp.mod1 @t47)) % 0.29/0.60 (define @t142 () (= tptp.low @t47)) % 0.29/0.60 (define @t143 () (and (=> @t55 @t142) (=> @t53 @t141) (=> @t51 @t140) (=> @t49 @t137))) % 0.29/0.60 (define @t144 () (= tptp.very_low @t47)) % 0.29/0.60 (define @t145 () (and (=> @t11 @t144) (=> @t12 @t143))) % 0.29/0.60 (define @t146 () (@list @t94 @t104)) % 0.29/0.60 (define @t147 () (tptp.positional_advantage @t94 @t104)) % 0.29/0.60 (define @t148 () (tptp.is_aligned @t94 @t104)) % 0.29/0.60 (define @t149 () (= tptp.mod2 @t105)) % 0.29/0.60 (define @t150 () (not @t148)) % 0.29/0.60 (define @t151 () (or @t150 @t147 @t149)) % 0.29/0.60 (define @t152 () (not @t147)) % 0.29/0.60 (define @t153 () (and (or @t150 @t152 (= tptp.low @t105)) (or @t148 @t152 (= tptp.mod1 @t105)) @t151 (or @t148 @t147 (= tptp.high @t105)))) % 0.29/0.60 (define @t154 () (tptp.has_immunity @t94 @t104)) % 0.29/0.60 (define @t155 () (or @t154 @t153)) % 0.29/0.60 (define @t156 () (not @t154)) % 0.29/0.60 (define @t157 () (and (or @t156 (= tptp.very_low @t105)) @t155)) % 0.29/0.60 (define @t158 () (or @t125 @t157)) % 0.29/0.60 (define @t159 () (or @t125 @t122 @t156)) % 0.29/0.60 (define @t160 () (@list false true false)) % 0.29/0.60 (define @t161 () (@list true false)) % 0.29/0.60 (define @t162 () (tptp.smaller tptp.mod1 tptp.mod2)) % 0.29/0.60 (define @t163 () (= @t162 @t63)) % 0.29/0.60 (define @t164 () (= @t63 @t162)) % 0.29/0.60 (define @t165 () (@list @t8)) % 0.29/0.60 (define @t166 () (@list @t94 @t106)) % 0.29/0.60 (define @t167 () (tptp.positional_advantage @t94 @t106)) % 0.29/0.60 (define @t168 () (tptp.is_aligned @t94 @t106)) % 0.29/0.60 (define @t169 () (= tptp.mod2 @t107)) % 0.29/0.60 (define @t170 () (not @t168)) % 0.29/0.60 (define @t171 () (or @t170 @t167 @t169)) % 0.29/0.60 (define @t172 () (not @t167)) % 0.29/0.60 (define @t173 () (and (or @t170 @t172 (= tptp.low @t107)) (or @t168 @t172 (= tptp.mod1 @t107)) @t171 (or @t168 @t167 (= tptp.high @t107)))) % 0.29/0.60 (define @t174 () (tptp.has_immunity @t94 @t106)) % 0.29/0.60 (define @t175 () (or @t174 @t173)) % 0.29/0.60 (define @t176 () (not @t174)) % 0.29/0.60 (define @t177 () (and (or @t176 (= tptp.very_low @t107)) @t175)) % 0.29/0.60 (define @t178 () (or @t125 @t177)) % 0.29/0.60 (define @t179 () (or @t125 @t122 @t176)) % 0.29/0.60 (define @t180 () (@list @t106)) % 0.29/0.60 (define @t181 () (tptp.smaller_or_equal @t116 tptp.tau)) % 0.29/0.60 (define @t182 () (not @t181)) % 0.29/0.60 (define @t183 () (or @t182 @t172)) % 0.29/0.60 (define @t184 () (not @t21)) % 0.29/0.60 (define @t185 () (and @t15 (= @t184 @t19))) % 0.29/0.60 (define @t186 () (= @t23 @t185)) % 0.29/0.60 (define @t187 () (@list @t94 @t104 @t106)) % 0.29/0.60 (define @t188 () (= @t23 @t31)) % 0.29/0.60 (define @t189 () (or @t91 @t89 @t188)) % 0.29/0.60 (define @t190 () (and @t15 @t88)) % 0.29/0.60 (define @t191 () (tptp.greater @t116 tptp.sigma)) % 0.29/0.60 (define @t192 () (tptp.dissimilar @t94 @t104 @t106)) % 0.29/0.60 (define @t193 () (= @t192 @t191)) % 0.29/0.60 (define @t194 () (or @t125 @t121 @t193)) % 0.29/0.60 (define @t195 () (@list false false false)) % 0.29/0.60 (define @t196 () (not (tptp.greater @t116 tptp.tau))) % 0.29/0.60 (define @t197 () (or @t196 @t167)) % 0.29/0.60 (define @t198 () (not @t192)) % 0.29/0.60 (define @t199 () (= @t168 @t150)) % 0.29/0.60 (define @t200 () (and @t124 @t199)) % 0.29/0.60 (define @t201 () (= @t192 @t200)) % 0.29/0.60 (define @t202 () (not @t200)) % 0.29/0.60 (define @t203 () (not @t199)) % 0.29/0.60 (define @t204 () (@list false true)) % 0.29/0.60 (define @t205 () (= tptp.zero @t27)) % 0.29/0.60 (define @t206 () (not @t205)) % 0.29/0.60 (define @t207 () (and @t15 @t205)) % 0.29/0.60 (define @t208 () (or @t125 @t121 @t148)) % 0.29/0.60 (define @t209 () (@list @t94 @t109)) % 0.29/0.60 (define @t210 () (tptp.positional_advantage @t94 @t109)) % 0.29/0.60 (define @t211 () (tptp.is_aligned @t94 @t109)) % 0.29/0.60 (define @t212 () (not @t211)) % 0.29/0.60 (define @t213 () (= tptp.mod1 @t110)) % 0.29/0.60 (define @t214 () (not @t210)) % 0.29/0.60 (define @t215 () (or @t211 @t214 @t213)) % 0.29/0.60 (define @t216 () (and (or @t212 @t214 (= tptp.low @t110)) @t215 (or @t212 @t210 (= tptp.mod2 @t110)) (or @t211 @t210 (= tptp.high @t110)))) % 0.29/0.60 (define @t217 () (tptp.has_immunity @t94 @t109)) % 0.29/0.60 (define @t218 () (or @t217 @t216)) % 0.29/0.60 (define @t219 () (not @t217)) % 0.29/0.60 (define @t220 () (and (or @t219 (= tptp.very_low @t110)) @t218)) % 0.29/0.60 (define @t221 () (or @t125 @t220)) % 0.29/0.60 (define @t222 () (or @t125 @t122 @t219)) % 0.29/0.60 (define @t223 () (tptp.greater @t113 tptp.tau)) % 0.29/0.60 (define @t224 () (not @t223)) % 0.29/0.60 (define @t225 () (or @t224 @t210)) % 0.29/0.60 (define @t226 () (@list @t94 @t104 @t109)) % 0.29/0.60 (define @t227 () (tptp.dissimilar @t94 @t104 @t109)) % 0.29/0.60 (define @t228 () (or @t125 @t121 (= @t227 @t114))) % 0.29/0.60 (define @t229 () (forall @t25 @t189)) % 0.29/0.60 (define @t230 () (= @t114 @t227)) % 0.29/0.60 (define @t231 () (or @t125 @t121 @t230)) % 0.29/0.60 (define @t232 () (= @t211 @t150)) % 0.29/0.60 (define @t233 () (and @t124 @t232)) % 0.29/0.60 (define @t234 () (= @t227 @t233)) % 0.29/0.60 (define @t235 () (not (tptp.smaller_or_equal @t119 tptp.tau))) % 0.29/0.60 (define @t236 () (or @t235 @t152)) % 0.29/0.60 (define @t237 () (tptp.smaller_or_equal tptp.zero tptp.sigma)) % 0.29/0.60 (define @t238 () (@list tptp.zero tptp.sigma)) % 0.29/0.60 (define @t239 () (tptp.smaller tptp.zero tptp.sigma)) % 0.29/0.60 (define @t240 () (= @t239 @t72)) % 0.29/0.60 (define @t241 () (= @t72 @t239)) % 0.29/0.60 (define @t242 () (or @t239 (= tptp.zero tptp.sigma))) % 0.29/0.60 (define @t243 () (= @t237 @t242)) % 0.29/0.60 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.29/0.60 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.29/0.60 (assume @p3 @t8) % 0.29/0.60 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.29/0.60 (assume @p5 (forall (@list @t2 @t1 @t9) (=> (and @t6 (tptp.greater @t1 @t9)) (tptp.greater @t2 @t9)))) % 0.29/0.60 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.29/0.60 (assume @p7 @t18) % 0.29/0.60 (assume @p8 @t26) % 0.29/0.60 (assume @p9 @t30) % 0.29/0.60 (assume @p10 @t36) % 0.29/0.60 (assume @p11 @t46) % 0.29/0.60 (assume @p12 @t62) % 0.29/0.60 (assume @p13 @t63) % 0.29/0.60 (assume @p14 @t77) % 0.29/0.60 (assume @p15 true) % 0.29/0.60 (step @p16 :rule evaluate :args ((= true false))) % 0.29/0.60 (step @p17 :rule alpha_equiv :args (@t79 @t80 (@list @t81))) % 0.29/0.60 (step @p18 :rule alpha_equiv :args (@t83 @t80 (@list @t84))) % 0.29/0.60 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t85)) % 0.29/0.60 (step @p20 :rule quant-miniscope-and :args ((= (forall @t42 (and @t82 @t78)) @t85))) % 0.29/0.60 (step @p21 :rule trans :premises (@p20 @p19)) % 0.29/0.60 (step @p22 :rule bool-impl-elim :args (@t38 @t37)) % 0.29/0.60 (step @p23 :rule bool-impl-elim :args (@t40 @t39)) % 0.29/0.60 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t41)) % 0.29/0.60 (step @p25 :rule cong :premises (@p24) :args (@t43)) % 0.29/0.60 (step @p26 :rule trans :premises (@p25 @p21)) % 0.29/0.60 (step @p27 :rule refl :args (@t44)) % 0.29/0.60 (step @p28 :rule cong :premises (@p27 @p26) :args (@t45)) % 0.29/0.60 (step @p29 :rule cong :premises (@p28) :args (@t46)) % 0.29/0.60 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 0.29/0.60 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t94))) % 0.29/0.60 (step @p32 :rule quant-miniscope-or :args ((= (forall @t75 @t98) (or @t97 @t96 @t95 @t93)))) % 0.29/0.60 (step @p33 :rule aci_norm :args ((= @t99 @t98))) % 0.29/0.60 (step @p34 :rule cong :premises (@p33) :args ((forall @t75 @t99))) % 0.29/0.60 (step @p35 :rule trans :premises (@p34 @p32)) % 0.29/0.60 (step @p36 :rule aci_norm :args ((= (or (or @t91 @t90 @t13 @t89 @t97 @t96 @t95 @t87 @t86) @t67) @t99))) % 0.29/0.60 (step @p37 :rule refl :args (@t67)) % 0.29/0.60 (step @p38 :rule refl :args (@t86)) % 0.29/0.60 (step @p39 :rule refl :args (@t87)) % 0.29/0.60 (step @p40 :rule refl :args (@t95)) % 0.29/0.60 (step @p41 :rule refl :args (@t96)) % 0.29/0.60 (step @p42 :rule refl :args (@t97)) % 0.29/0.60 (step @p43 :rule refl :args (@t89)) % 0.29/0.60 (step @p44 :rule bool-double-not-elim :args (@t13)) % 0.29/0.60 (step @p45 :rule refl :args (@t90)) % 0.29/0.60 (step @p46 :rule refl :args (@t91)) % 0.29/0.60 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38) :args (@t101)) % 0.29/0.60 (step @p48 :rule aci_norm :args ((= (or @t91 (or @t90 (or @t100 (or @t89 (or @t97 (or @t96 (or @t95 (or @t87 @t86)))))))) @t101))) % 0.29/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.29/0.60 (step @p50 :rule bool-and-de-morgan :args (@t69 @t68 true)) % 0.29/0.60 (step @p51 :rule nary_cong :premises (@p40 @p50) :args ((or @t95 (not (and @t69 @t68))))) % 0.29/0.60 (step @p52 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68))) % 0.29/0.60 (step @p53 :rule trans :premises (@p52 @p51)) % 0.29/0.60 (step @p54 :rule nary_cong :premises (@p41 @p53) :args ((or @t96 (not (and @t70 @t69 @t68))))) % 0.29/0.60 (step @p55 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t68))) % 0.29/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 0.29/0.60 (step @p57 :rule nary_cong :premises (@p42 @p56) :args ((or @t97 (not (and @t71 @t70 @t69 @t68))))) % 0.29/0.60 (step @p58 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t69 @t68))) % 0.29/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.29/0.60 (step @p60 :rule nary_cong :premises (@p43 @p59) :args ((or @t89 (not (and @t72 @t71 @t70 @t69 @t68))))) % 0.29/0.60 (step @p61 :rule bool-and-de-morgan :args (@t88 @t72 (and @t71 @t70 @t69 @t68))) % 0.29/0.60 (step @p62 :rule trans :premises (@p61 @p60)) % 0.29/0.60 (step @p63 :rule refl :args (@t100)) % 0.29/0.60 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t100 (not (and @t88 @t72 @t71 @t70 @t69 @t68))))) % 0.29/0.60 (step @p65 :rule bool-and-de-morgan :args (@t14 @t88 (and @t72 @t71 @t70 @t69 @t68))) % 0.29/0.60 (step @p66 :rule trans :premises (@p65 @p64)) % 0.29/0.60 (step @p67 :rule nary_cong :premises (@p45 @p66) :args ((or @t90 (not (and @t14 @t88 @t72 @t71 @t70 @t69 @t68))))) % 0.29/0.60 (step @p68 :rule bool-and-de-morgan :args (@t44 @t14 (and @t88 @t72 @t71 @t70 @t69 @t68))) % 0.29/0.60 (step @p69 :rule trans :premises (@p68 @p67)) % 0.29/0.60 (step @p70 :rule nary_cong :premises (@p46 @p69) :args ((or @t91 (not (and @t44 @t14 @t88 @t72 @t71 @t70 @t69 @t68))))) % 0.29/0.60 (step @p71 :rule bool-and-de-morgan :args (@t15 @t44 (and @t14 @t88 @t72 @t71 @t70 @t69 @t68))) % 0.29/0.60 (step @p72 :rule trans :premises (@p71 @p70)) % 0.29/0.60 (step @p73 :rule trans :premises (@p72 @p49)) % 0.29/0.60 (step @p74 :rule nary_cong :premises (@p73 @p37) :args ((or (not @t102) @t67))) % 0.29/0.60 (step @p75 :rule trans :premises (@p74 @p36)) % 0.29/0.60 (step @p76 :rule bool-impl-elim :args (@t102 @t67)) % 0.29/0.60 (step @p77 :rule trans :premises (@p76 @p75)) % 0.29/0.60 (step @p78 :rule cong :premises (@p77) :args ((forall @t75 (=> @t102 @t67)))) % 0.29/0.60 (step @p79 :rule trans :premises (@p78 @p35)) % 0.29/0.60 (step @p80 :rule refl :args (@t67)) % 0.29/0.60 (step @p81 :rule refl :args (@t68)) % 0.29/0.60 (step @p82 :rule refl :args (@t69)) % 0.29/0.60 (step @p83 :rule refl :args (@t70)) % 0.29/0.60 (step @p84 :rule refl :args (@t71)) % 0.29/0.60 (step @p85 :rule refl :args (@t72)) % 0.29/0.60 (step @p86 :rule eq-symm :args (@t32 tptp.zero)) % 0.29/0.60 (step @p87 :rule refl :args (@t14)) % 0.29/0.60 (step @p88 :rule refl :args (@t15)) % 0.29/0.60 (step @p89 :rule nary_cong :premises (@p88 @p27 @p87 @p86 @p85 @p84 @p83 @p82 @p81) :args (@t73)) % 0.29/0.60 (step @p90 :rule cong :premises (@p89 @p80) :args (@t74)) % 0.29/0.60 (step @p91 :rule cong :premises (@p90) :args (@t76)) % 0.29/0.60 (step @p92 :rule trans :premises (@p91 @p79)) % 0.29/0.60 (step @p93 :rule cong :premises (@p92) :args (@t77)) % 0.29/0.60 (step @p94 :rule eq_resolve :premises (@p14 @p93)) % 0.29/0.60 (step @p95 :rule not_or_elim :premises (@p94) :args (3)) % 0.29/0.60 (step @p96 :rule skolemize :premises (@p95)) % 0.29/0.60 (step @p97 :rule bool-double-not-elim :args (@t103)) % 0.29/0.60 (step @p98 :rule refl :args (@t126)) % 0.29/0.60 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t126 (not @t123)))) % 0.29/0.60 (step @p100 :rule cnf_or_neg :args (@t126 1)) % 0.29/0.60 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.29/0.60 (step @p102 :rule reordering :premises (@p101) :args ((or @t103 @t126))) % 0.29/0.60 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args (@t103 @t127 @t128)) % 0.29/0.60 (step @p104 :rule cnf_equiv_pos1 :args (@t132)) % 0.29/0.60 (step @p105 :rule reordering :premises (@p104) :args ((or @t123 @t131 (not @t132)))) % 0.29/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p31) :args (@t131 @t133 (@list @t103 @t132))) % 0.29/0.60 (step @p107 :rule cnf_and_pos :args (@t131 0)) % 0.29/0.60 (step @p108 :rule reordering 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@p121) :args (@t143)) % 0.29/0.60 (step @p150 :rule refl :args (@t11)) % 0.29/0.60 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t11 @t143))) % 0.29/0.60 (step @p152 :rule refl :args (@t143)) % 0.29/0.60 (step @p153 :rule bool-double-not-elim :args (@t11)) % 0.29/0.60 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t12) @t143))) % 0.29/0.60 (step @p155 :rule bool-impl-elim :args (@t12 @t143)) % 0.29/0.60 (step @p156 :rule trans :premises (@p155 @p154)) % 0.29/0.60 (step @p157 :rule trans :premises (@p156 @p151)) % 0.29/0.60 (step @p158 :rule bool-impl-elim :args (@t11 @t144)) % 0.29/0.60 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t145)) % 0.29/0.60 (step @p160 :rule nary_cong :premises (@p46 @p159) :args ((or @t91 @t145))) % 0.29/0.60 (step @p161 :rule bool-impl-elim :args (@t15 @t145)) % 0.29/0.60 (step @p162 :rule trans :premises (@p161 @p160)) % 0.29/0.60 (step @p163 :rule cong :premises (@p162) :args ((forall @t17 (=> @t15 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0.29/0.60 (step @p420 :rule symm :premises (@p419)) % 0.29/0.60 (step @p421 :rule cong :premises (@p420 @p355) :args (@t111)) % 0.29/0.60 (step @p422 :rule trans :premises (@p421 @p236)) % 0.29/0.60 (step @p423 :rule true_elim :premises (@p422)) % 0.29/0.60 (step @p424 :rule cnf_or_neg :args (@t126 6)) % 0.29/0.60 (step @p425 :rule chain_m_resolution :premises (@p424 @p96) :args ((not @t112) @t127 @t128)) % 0.29/0.60 (step @p426 :rule cnf_and_neg :args (@t112)) % 0.29/0.60 (step @p427 :rule chain_m_resolution :premises (@p426 @p425 @p423) :args ((not @t108) @t161 (@list @t112 @t111))) % 0.29/0.60 (step @p428 :rule false_intro :premises (@p427)) % 0.29/0.60 (step @p429 :rule refl :args (@t105)) % 0.29/0.60 (step @p430 :rule cong :premises (@p354 @p429) :args (@t149)) % 0.29/0.60 (step @p431 :rule trans :premises (@p430 @p428)) % 0.29/0.60 (step @p432 :rule false_elim :premises (@p431)) % 0.29/0.60 (step @p433 :rule cnf_or_pos :args (@t151)) % 0.29/0.60 (step @p434 :rule reordering :premises (@p433) :args ((or @t150 @t147 @t149 (not @t151)))) % 0.29/0.60 (step @p435 :rule chain_m_resolution :premises (@p434 @p348 @p432 @p222) :args (@t147 @t160 (@list @t148 @t149 @t151))) % 0.29/0.60 (step @p436 :rule cnf_or_pos :args (@t236)) % 0.29/0.60 (step @p437 :rule reordering :premises (@p436) :args ((or @t152 @t235 (not @t236)))) % 0.29/0.60 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p110) :args (@t235 @t133 (@list @t147 @t236))) % 0.29/0.60 (step @p439 :rule false_intro :premises (@p438)) % 0.29/0.60 (step @p440 :rule cong :premises (@p306 @p263) :args (@t237)) % 0.29/0.60 (step @p441 :rule instantiate :premises (@p1) :args (@t238)) % 0.29/0.60 (step @p442 :rule eq-symm :args (@t239 @t72)) % 0.29/0.60 (step @p443 :rule cong :premises (@p224 @p442) :args ((=> @t8 @t240))) % 0.29/0.60 (assume-push @p470 @t8) % 0.29/0.60 (step @p445 :rule instantiate :premises (@p3) :args (@t238)) % 0.29/0.60 (step-pop @p471 :rule scope :premises (@p445)) % 0.29/0.60 (step @p446 :rule process_scope :premises (@p471) :args (@t240)) % 0.29/0.60 (step @p448 :rule eq_resolve :premises (@p446 @p443)) % 0.29/0.60 (step @p449 :rule implies_elim :premises (@p448)) % 0.29/0.60 (step @p450 :rule chain_m_resolution :premises (@p449 @p3) :args (@t241 @t135 @t165)) % 0.29/0.60 (step @p451 :rule not_or_elim :premises (@p94) :args (0)) % 0.29/0.60 (step @p452 :rule not_not_elim :premises (@p451)) % 0.29/0.60 (step @p453 :rule cnf_equiv_pos1 :args (@t241)) % 0.29/0.60 (step @p454 :rule reordering :premises (@p453) :args ((or @t97 @t239 (not @t241)))) % 0.29/0.60 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p450) :args (@t239 @t133 (@list @t72 @t241))) % 0.29/0.60 (step @p456 :rule cnf_or_neg :args (@t242 0)) % 0.29/0.60 (step @p457 :rule reordering :premises (@p456) :args ((or (not @t239) @t242))) % 0.29/0.60 (step @p458 :rule chain_m_resolution :premises (@p457 @p455) :args (@t242 @t135 (@list @t239))) % 0.29/0.60 (step @p459 :rule cnf_equiv_pos2 :args (@t243)) % 0.29/0.60 (step @p460 :rule reordering :premises (@p459) :args ((or @t237 (not @t242) (not @t243)))) % 0.29/0.60 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p441) :args (@t237 @t133 (@list @t242 @t243))) % 0.29/0.60 (step @p462 :rule true_intro :premises (@p461)) % 0.29/0.60 (step @p463 :rule symm :premises (@p462)) % 0.29/0.60 (step @p464 :rule trans :premises (@p463 @p440 @p439)) % 0.29/0.60 (step @p465 false :rule eq_resolve :premises (@p464 @p16)) % 0.29/0.60 ) % 0.29/0.60 % SZS output end Proof % 0.29/0.60 % cvc5 exiting %------------------------------------------------------------------------------