%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP111^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:25:05 AM UTC 2026 % Result : Theorem 0.39s 0.67s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP111^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n019.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 04:14:49 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.54 %----Proving TH0 % 0.39/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.67 % SZS status Theorem % 0.39/0.67 % SZS output start Proof % 0.39/0.67 ( % 0.39/0.67 (declare-sort tptp.a 0) % 0.39/0.67 (declare-sort tptp.set_a 0) % 0.39/0.67 (declare-sort tptp.extended_ereal 0) % 0.39/0.67 (declare-const tptp.divide595620860_ereal (-> tptp.extended_ereal tptp.extended_ereal tptp.extended_ereal)) % 0.39/0.67 (declare-const tptp.f (-> tptp.a tptp.extended_ereal)) % 0.39/0.67 (declare-const tptp.ord_le2001149050_ereal (-> tptp.extended_ereal tptp.extended_ereal Bool)) % 0.39/0.67 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.39/0.67 (declare-const tptp.zero_z163181189_ereal tptp.extended_ereal) % 0.39/0.67 (declare-const tptp.x0 tptp.a) % 0.39/0.67 (declare-const tptp.topolo1276428101open_a (-> tptp.set_a Bool)) % 0.39/0.67 (declare-const tptp.lower_191460856_ereal (-> tptp.a (-> tptp.a tptp.extended_ereal) Bool)) % 0.39/0.67 (declare-const tptp.extend1289208545_ereal tptp.extended_ereal) % 0.39/0.67 (declare-const tptp.uminus1208298309_ereal (-> tptp.extended_ereal tptp.extended_ereal)) % 0.39/0.67 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.39/0.67 (declare-const tptp.extended_MInfty tptp.extended_ereal) % 0.39/0.67 (declare-const tptp.extended_PInfty tptp.extended_ereal) % 0.39/0.67 (declare-const tptp.times_1966848393_ereal (-> tptp.extended_ereal tptp.extended_ereal tptp.extended_ereal)) % 0.39/0.67 (define @t1 () (@var "X" tptp.a)) % 0.39/0.67 (define @t2 () (_ tptp.f @t1)) % 0.39/0.67 (define @t3 () (@var "C" tptp.extended_ereal)) % 0.39/0.67 (define @t4 () (_ tptp.ord_le2001149050_ereal @t3)) % 0.39/0.67 (define @t5 () (_ @t4 @t2)) % 0.39/0.67 (define @t6 () (@var "T" tptp.set_a)) % 0.39/0.67 (define @t7 () (_ tptp.member_a @t1)) % 0.39/0.67 (define @t8 () (_ @t7 @t6)) % 0.39/0.67 (define @t9 () (@list @t1)) % 0.39/0.67 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.39/0.67 (define @t11 () (_ (_ tptp.member_a tptp.x0) @t6)) % 0.39/0.67 (define @t12 () (_ tptp.topolo1276428101open_a @t6)) % 0.39/0.67 (define @t13 () (and @t12 @t11 @t10)) % 0.39/0.67 (define @t14 () (@list @t6)) % 0.39/0.67 (define @t15 () (exists @t14 @t13)) % 0.39/0.67 (define @t16 () (_ tptp.f tptp.x0)) % 0.39/0.67 (define @t17 () (_ @t4 @t16)) % 0.39/0.67 (define @t18 () (=> @t17 @t15)) % 0.39/0.67 (define @t19 () (@list @t3)) % 0.39/0.67 (define @t20 () (forall @t19 @t18)) % 0.39/0.67 (define @t21 () (_ (_ tptp.lower_191460856_ereal tptp.x0) tptp.f)) % 0.39/0.67 (define @t22 () (= @t21 @t20)) % 0.39/0.67 (define @t23 () (= @t16 tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t24 () (=> @t23 @t22)) % 0.39/0.67 (define @t25 () (_ tptp.uminus1208298309_ereal tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t26 () (= @t16 @t25)) % 0.39/0.67 (define @t27 () (=> @t26 @t22)) % 0.39/0.67 (define @t28 () (not @t23)) % 0.39/0.67 (define @t29 () (=> @t28 @t22)) % 0.39/0.67 (define @t30 () (not @t26)) % 0.39/0.67 (define @t31 () (=> @t30 @t29)) % 0.39/0.67 (define @t32 () (@var "F" (-> tptp.a tptp.extended_ereal))) % 0.39/0.67 (define @t33 () (@var "X0" tptp.a)) % 0.39/0.67 (define @t34 () (@var "U" tptp.set_a)) % 0.39/0.67 (define @t35 () (@var "Y" tptp.a)) % 0.39/0.67 (define @t36 () (_ tptp.member_a @t35)) % 0.39/0.67 (define @t37 () (_ @t36 @t34)) % 0.39/0.67 (define @t38 () (@var "X2" tptp.a)) % 0.39/0.67 (define @t39 () (_ tptp.member_a @t38)) % 0.39/0.67 (define @t40 () (_ @t39 @t34)) % 0.39/0.67 (define @t41 () (_ tptp.topolo1276428101open_a @t34)) % 0.39/0.67 (define @t42 () (@list @t34)) % 0.39/0.67 (define @t43 () (not (= @t38 @t35))) % 0.39/0.67 (define @t44 () (@list @t38 @t35)) % 0.39/0.67 (define @t45 () (@var "U2" tptp.set_a)) % 0.39/0.67 (define @t46 () (_ @t36 @t45)) % 0.39/0.67 (define @t47 () (_ @t39 @t45)) % 0.39/0.67 (define @t48 () (_ tptp.topolo1276428101open_a @t45)) % 0.39/0.67 (define @t49 () (@list @t45)) % 0.39/0.67 (define @t50 () (@var "X3" tptp.extended_ereal)) % 0.39/0.67 (define @t51 () (@var "T2" tptp.extended_ereal)) % 0.39/0.67 (define @t52 () (_ (_ tptp.ord_le2001149050_ereal @t51) @t50)) % 0.39/0.67 (define @t53 () (@var "Z" tptp.extended_ereal)) % 0.39/0.67 (define @t54 () (_ tptp.ord_le2001149050_ereal @t50)) % 0.39/0.67 (define @t55 () (_ @t54 @t53)) % 0.39/0.67 (define @t56 () (@list @t50)) % 0.39/0.67 (define @t57 () (@list @t53)) % 0.39/0.67 (define @t58 () (@list @t51)) % 0.39/0.67 (define @t59 () (_ @t54 @t51)) % 0.39/0.67 (define @t60 () (not (= @t50 @t51))) % 0.39/0.67 (define @t61 () (@var "Q2" (-> tptp.extended_ereal Bool))) % 0.39/0.67 (define @t62 () (_ @t61 @t50)) % 0.39/0.67 (define @t63 () (@var "P2" (-> tptp.extended_ereal Bool))) % 0.39/0.67 (define @t64 () (_ @t63 @t50)) % 0.39/0.67 (define @t65 () (@var "Q" (-> tptp.extended_ereal Bool))) % 0.39/0.67 (define @t66 () (_ @t65 @t50)) % 0.39/0.67 (define @t67 () (@var "P" (-> tptp.extended_ereal Bool))) % 0.39/0.67 (define @t68 () (_ @t67 @t50)) % 0.39/0.67 (define @t69 () (= (or @t68 @t66) (or @t64 @t62))) % 0.39/0.67 (define @t70 () (@var "X4" tptp.extended_ereal)) % 0.39/0.67 (define @t71 () (= (_ @t65 @t70) (_ @t61 @t70))) % 0.39/0.67 (define @t72 () (@var "Z2" tptp.extended_ereal)) % 0.39/0.67 (define @t73 () (_ tptp.ord_le2001149050_ereal @t70)) % 0.39/0.67 (define @t74 () (_ @t73 @t72)) % 0.39/0.67 (define @t75 () (@list @t70)) % 0.39/0.67 (define @t76 () (@list @t72)) % 0.39/0.67 (define @t77 () (exists @t76 (forall @t75 (=> @t74 @t71)))) % 0.39/0.67 (define @t78 () (= (_ @t67 @t70) (_ @t63 @t70))) % 0.39/0.67 (define @t79 () (exists @t76 (forall @t75 (=> @t74 @t78)))) % 0.39/0.67 (define @t80 () (@list @t67 @t63 @t65 @t61)) % 0.39/0.67 (define @t81 () (= (and @t68 @t66) (and @t64 @t62))) % 0.39/0.67 (define @t82 () (_ tptp.ord_le2001149050_ereal @t53)) % 0.39/0.67 (define @t83 () (_ @t82 @t50)) % 0.39/0.67 (define @t84 () (_ (_ tptp.ord_le2001149050_ereal @t72) @t70)) % 0.39/0.67 (define @t85 () (exists @t76 (forall @t75 (=> @t84 @t71)))) % 0.39/0.67 (define @t86 () (exists @t76 (forall @t75 (=> @t84 @t78)))) % 0.39/0.67 (define @t87 () (@var "A" tptp.extended_ereal)) % 0.39/0.67 (define @t88 () (_ tptp.ord_le2001149050_ereal @t25)) % 0.39/0.67 (define @t89 () (= @t87 @t25)) % 0.39/0.67 (define @t90 () (@list @t87)) % 0.39/0.67 (define @t91 () (@var "X2" tptp.extended_ereal)) % 0.39/0.67 (define @t92 () (@list @t91)) % 0.39/0.67 (define @t93 () (@var "B" tptp.extended_ereal)) % 0.39/0.67 (define @t94 () (_ tptp.ord_le2001149050_ereal @t93)) % 0.39/0.67 (define @t95 () (_ @t94 @t87)) % 0.39/0.67 (define @t96 () (_ tptp.uminus1208298309_ereal @t93)) % 0.39/0.67 (define @t97 () (_ tptp.uminus1208298309_ereal @t87)) % 0.39/0.67 (define @t98 () (_ tptp.ord_le2001149050_ereal @t97)) % 0.39/0.67 (define @t99 () (@list @t87 @t93)) % 0.39/0.67 (define @t100 () (_ tptp.ord_le2001149050_ereal @t87)) % 0.39/0.67 (define @t101 () (_ @t100 tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t102 () (= @t87 tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t103 () (not (= @t91 tptp.extend1289208545_ereal))) % 0.39/0.67 (define @t104 () (_ tptp.ord_le2001149050_ereal @t91)) % 0.39/0.67 (define @t105 () (= @t87 @t93)) % 0.39/0.67 (define @t106 () (@var "A" tptp.a)) % 0.39/0.67 (define @t107 () (@var "P" (-> tptp.a Bool))) % 0.39/0.67 (define @t108 () (_ tptp.collect_a @t107)) % 0.39/0.67 (define @t109 () (@var "A2" tptp.set_a)) % 0.39/0.67 (define @t110 () (@var "Q" (-> tptp.a Bool))) % 0.39/0.67 (define @t111 () (@var "X4" tptp.a)) % 0.39/0.67 (define @t112 () (@var "B2" tptp.extended_ereal)) % 0.39/0.67 (define @t113 () (not @t105)) % 0.39/0.67 (define @t114 () (@list @t93 @t87)) % 0.39/0.67 (define @t115 () (= @t87 tptp.zero_z163181189_ereal)) % 0.39/0.67 (define @t116 () (_ @t100 tptp.zero_z163181189_ereal)) % 0.39/0.67 (define @t117 () (_ tptp.ord_le2001149050_ereal tptp.zero_z163181189_ereal)) % 0.39/0.67 (define @t118 () (@var "C2" tptp.extended_ereal)) % 0.39/0.67 (define @t119 () (@var "F" (-> tptp.extended_ereal tptp.extended_ereal))) % 0.39/0.67 (define @t120 () (@var "Y2" tptp.extended_ereal)) % 0.39/0.67 (define @t121 () (forall (@list @t70 @t120) (=> (_ @t73 @t120) (_ (_ tptp.ord_le2001149050_ereal (_ @t119 @t70)) (_ @t119 @t120))))) % 0.39/0.67 (define @t122 () (_ @t94 @t118)) % 0.39/0.67 (define @t123 () (=> @t122 (=> @t121 (_ @t100 (_ @t119 @t118))))) % 0.39/0.67 (define @t124 () (_ @t119 @t93)) % 0.39/0.67 (define @t125 () (@list @t87 @t119 @t93 @t118)) % 0.39/0.67 (define @t126 () (=> @t121 (_ (_ tptp.ord_le2001149050_ereal (_ @t119 @t87)) @t118))) % 0.39/0.67 (define @t127 () (_ @t100 @t93)) % 0.39/0.67 (define @t128 () (@list @t87 @t93 @t119 @t118)) % 0.39/0.67 (define @t129 () (@var "Y" tptp.extended_ereal)) % 0.39/0.67 (define @t130 () (_ tptp.ord_le2001149050_ereal @t129)) % 0.39/0.67 (define @t131 () (_ @t130 @t91)) % 0.39/0.67 (define @t132 () (_ @t104 @t129)) % 0.39/0.67 (define @t133 () (not @t132)) % 0.39/0.67 (define @t134 () (= @t91 @t129)) % 0.39/0.67 (define @t135 () (not @t134)) % 0.39/0.67 (define @t136 () (@list @t91 @t129)) % 0.39/0.67 (define @t137 () (not @t131)) % 0.39/0.67 (define @t138 () (@var "Z3" tptp.extended_ereal)) % 0.39/0.67 (define @t139 () (@list @t91 @t129 @t138)) % 0.39/0.67 (define @t140 () (_ @t100 @t118)) % 0.39/0.67 (define @t141 () (=> @t122 @t140)) % 0.39/0.67 (define @t142 () (@list @t87 @t93 @t118)) % 0.39/0.67 (define @t143 () (@var "P" Bool)) % 0.39/0.67 (define @t144 () (@var "P" (-> tptp.extended_ereal tptp.extended_ereal Bool))) % 0.39/0.67 (define @t145 () (@var "A3" tptp.extended_ereal)) % 0.39/0.67 (define @t146 () (_ @t144 @t145)) % 0.39/0.67 (define @t147 () (_ @t146 @t112)) % 0.39/0.67 (define @t148 () (@list @t145 @t112)) % 0.39/0.67 (define @t149 () (_ tptp.ord_le2001149050_ereal @t118)) % 0.39/0.67 (define @t150 () (@list @t93 @t87 @t118)) % 0.39/0.67 (define @t151 () (= @t93 @t25)) % 0.39/0.67 (define @t152 () (_ @t94 tptp.zero_z163181189_ereal)) % 0.39/0.67 (define @t153 () (= @t93 tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t154 () (_ @t117 @t87)) % 0.39/0.67 (define @t155 () (_ @t117 @t93)) % 0.39/0.67 (define @t156 () (_ tptp.times_1966848393_ereal @t87)) % 0.39/0.67 (define @t157 () (_ @t156 @t93)) % 0.39/0.67 (define @t158 () (_ @t156 tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t159 () (not @t154)) % 0.39/0.67 (define @t160 () (not @t115)) % 0.39/0.67 (define @t161 () (_ tptp.times_1966848393_ereal tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t162 () (_ @t161 @t87)) % 0.39/0.67 (define @t163 () (_ tptp.divide595620860_ereal @t91)) % 0.39/0.67 (define @t164 () (_ tptp.uminus1208298309_ereal @t157)) % 0.39/0.67 (define @t165 () (_ tptp.times_1966848393_ereal @t93)) % 0.39/0.67 (define @t166 () (_ @t165 @t87)) % 0.39/0.67 (define @t167 () (_ (_ tptp.divide595620860_ereal @t93) @t118)) % 0.39/0.67 (define @t168 () (_ @t165 @t118)) % 0.39/0.67 (define @t169 () (_ @t156 @t168)) % 0.39/0.67 (define @t170 () (_ @t156 @t118)) % 0.39/0.67 (define @t171 () (@var "A4" tptp.extended_ereal)) % 0.39/0.67 (define @t172 () (@var "B3" tptp.extended_ereal)) % 0.39/0.67 (define @t173 () (@var "D" tptp.extended_ereal)) % 0.39/0.67 (define @t174 () (_ tptp.times_1966848393_ereal @t118)) % 0.39/0.67 (define @t175 () (_ @t174 @t87)) % 0.39/0.67 (define @t176 () (=> (not (= @t173 tptp.zero_z163181189_ereal)) @t105)) % 0.39/0.67 (define @t177 () (= @t118 @t173)) % 0.39/0.67 (define @t178 () (@list @t118 @t173 @t87 @t93)) % 0.39/0.67 (define @t179 () (_ @t165 @t173)) % 0.39/0.67 (define @t180 () (_ tptp.divide595620860_ereal @t87)) % 0.39/0.67 (define @t181 () (_ @t149 tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t182 () (_ @t117 @t118)) % 0.39/0.67 (define @t183 () (@list @t118 @t87 @t93)) % 0.39/0.67 (define @t184 () (_ tptp.times_1966848393_ereal @t91)) % 0.39/0.67 (define @t185 () (_ @t117 @t91)) % 0.39/0.67 (define @t186 () (_ tptp.ord_le2001149050_ereal @t170)) % 0.39/0.67 (define @t187 () (_ tptp.times_1966848393_ereal @t25)) % 0.39/0.67 (define @t188 () (=> @t182 (=> @t127 (=> (_ @t149 @t173) (_ @t186 @t179))))) % 0.39/0.67 (define @t189 () (not @t20)) % 0.39/0.67 (define @t190 () (= @t21 @t189)) % 0.39/0.67 (define @t191 () (tptp.lower_191460856_ereal tptp.x0 tptp.f)) % 0.39/0.67 (define @t192 () (tptp.f @t1)) % 0.39/0.67 (define @t193 () (tptp.ord_le2001149050_ereal @t3 @t192)) % 0.39/0.67 (define @t194 () (tptp.member_a @t1 @t6)) % 0.39/0.67 (define @t195 () (forall @t9 (or (not @t194) @t193))) % 0.39/0.67 (define @t196 () (not @t195)) % 0.39/0.67 (define @t197 () (tptp.member_a tptp.x0 @t6)) % 0.39/0.67 (define @t198 () (tptp.topolo1276428101open_a @t6)) % 0.39/0.67 (define @t199 () (not (forall @t14 (or (not @t198) (not @t197) @t196)))) % 0.39/0.67 (define @t200 () (tptp.f tptp.x0)) % 0.39/0.67 (define @t201 () (tptp.ord_le2001149050_ereal @t3 @t200)) % 0.39/0.67 (define @t202 () (forall @t19 (or (not @t201) @t199))) % 0.39/0.67 (define @t203 () (= @t202 @t191)) % 0.39/0.67 (define @t204 () (not @t203)) % 0.39/0.67 (define @t205 () (not @t202)) % 0.39/0.67 (define @t206 () (not @t17)) % 0.39/0.67 (define @t207 () (or @t206 @t199)) % 0.39/0.67 (define @t208 () (not @t11)) % 0.39/0.67 (define @t209 () (not @t12)) % 0.39/0.67 (define @t210 () (or @t209 @t208 @t196)) % 0.39/0.67 (define @t211 () (and @t12 @t11 @t195)) % 0.39/0.67 (define @t212 () (forall @t14 (not @t211))) % 0.39/0.67 (define @t213 () (not @t212)) % 0.39/0.67 (define @t214 () (not @t8)) % 0.39/0.67 (define @t215 () (or @t214 @t5)) % 0.39/0.67 (define @t216 () (@list true true)) % 0.39/0.67 (define @t217 () (= @t21 @t202)) % 0.39/0.67 (define @t218 () (tptp.uminus1208298309_ereal tptp.extend1289208545_ereal)) % 0.39/0.67 (define @t219 () (= @t200 @t218)) % 0.39/0.67 (define @t220 () (not @t219)) % 0.39/0.67 (define @t221 () (@list true)) % 0.39/0.67 (define @t222 () (@list @t203)) % 0.39/0.67 (define @t223 () (= tptp.extend1289208545_ereal @t16)) % 0.39/0.67 (define @t224 () (= tptp.extend1289208545_ereal @t200)) % 0.39/0.67 (define @t225 () (not @t224)) % 0.39/0.67 (define @t226 () (=> @t225 @t203)) % 0.39/0.67 (define @t227 () (not @t226)) % 0.39/0.67 (define @t228 () (not @t223)) % 0.39/0.67 (define @t229 () (=> @t228 @t217)) % 0.39/0.67 (assume @p1 @t24) % 0.39/0.67 (assume @p2 @t27) % 0.39/0.67 (assume @p3 @t31) % 0.39/0.67 (assume @p4 (forall (@list @t32 @t33) (=> (= (_ @t32 @t33) @t25) (_ (_ tptp.lower_191460856_ereal @t33) @t32)))) % 0.39/0.67 (assume @p5 (forall @t44 (=> @t43 (exists @t42 (and @t41 (not (= @t40 @t37))))))) % 0.39/0.67 (assume @p6 (forall @t44 (=> @t43 (exists @t42 (and @t41 @t40 (not @t37)))))) % 0.39/0.67 (assume @p7 (forall @t44 (= @t43 (exists @t49 (and @t48 (not (= @t47 @t46))))))) % 0.39/0.67 (assume @p8 (forall @t44 (= @t43 (exists @t49 (and @t48 @t47 (not @t46)))))) % 0.39/0.67 (assume @p9 (forall @t58 (exists @t57 (forall @t56 (=> @t55 (not @t52)))))) % 0.39/0.67 (assume @p10 (forall @t58 (exists @t57 (forall @t56 (=> @t55 @t59))))) % 0.39/0.67 (assume @p11 (forall @t58 (exists @t57 (forall @t56 (=> @t55 @t60))))) % 0.39/0.67 (assume @p12 (forall @t80 (=> @t79 (=> @t77 (exists @t57 (forall @t56 (=> @t55 @t69))))))) % 0.39/0.67 (assume @p13 (forall @t80 (=> @t86 (=> @t85 (exists @t57 (forall @t56 (=> @t83 @t81))))))) % 0.39/0.67 (assume @p14 (forall @t80 (=> @t86 (=> @t85 (exists @t57 (forall @t56 (=> @t83 @t69))))))) % 0.39/0.67 (assume @p15 (forall @t58 (exists @t57 (forall @t56 (=> @t83 @t60))))) % 0.39/0.67 (assume @p16 (forall @t58 (exists @t57 (forall @t56 (=> @t83 (not @t59)))))) % 0.39/0.67 (assume @p17 (forall @t58 (exists @t57 (forall @t56 (=> @t83 @t52))))) % 0.39/0.67 (assume @p18 (forall @t80 (=> @t79 (=> @t77 (exists @t57 (forall @t56 (=> @t55 @t81))))))) % 0.39/0.67 (assume @p19 (forall @t90 (=> (not @t89) (_ @t88 @t87)))) % 0.39/0.67 (assume @p20 (forall @t92 (= (_ @t88 @t91) (not (= @t91 @t25))))) % 0.39/0.67 (assume @p21 (forall @t99 (= (_ @t98 @t96) @t95))) % 0.39/0.67 (assume @p22 (forall @t90 (=> (not @t102) @t101))) % 0.39/0.67 (assume @p23 (forall @t92 (= (_ @t104 tptp.extend1289208545_ereal) @t103))) % 0.39/0.67 (assume @p24 (forall @t90 (not (_ @t100 @t25)))) % 0.39/0.67 (assume @p25 (_ @t88 tptp.extend1289208545_ereal)) % 0.39/0.67 (assume @p26 (forall @t99 (= (= @t97 @t96) @t105))) % 0.39/0.67 (assume @p27 (forall @t90 (= (_ tptp.uminus1208298309_ereal @t97) @t87))) % 0.39/0.67 (assume @p28 (forall @t99 (= (= @t97 @t93) (= @t87 @t96)))) % 0.39/0.67 (assume @p29 (not (= tptp.extend1289208545_ereal @t25))) % 0.39/0.67 (assume @p30 (forall @t90 (not (_ (_ tptp.ord_le2001149050_ereal tptp.extend1289208545_ereal) @t87)))) % 0.39/0.67 (assume @p31 (forall @t99 (= (_ @t100 @t96) (_ @t94 @t97)))) % 0.39/0.67 (assume @p32 (forall @t99 (= (_ @t98 @t93) (_ (_ tptp.ord_le2001149050_ereal @t96) @t87)))) % 0.39/0.67 (assume @p33 (forall (@list @t106 @t107) (= (_ (_ tptp.member_a @t106) @t108) (_ @t107 @t106)))) % 0.39/0.67 (assume @p34 (forall (@list @t109) (= (_ tptp.collect_a (lambda @t9 (_ @t7 @t109))) @t109))) % 0.39/0.67 (assume @p35 (forall (@list @t107 @t110) (=> (forall (@list @t111) (= (_ @t107 @t111) (_ @t110 @t111))) (= @t108 (_ tptp.collect_a @t110))))) % 0.39/0.67 (assume @p36 (= tptp.extended_MInfty @t25)) % 0.39/0.67 (assume @p37 (forall @t90 (not (_ @t100 @t87)))) % 0.39/0.67 (assume @p38 (= (_ tptp.uminus1208298309_ereal tptp.extended_PInfty) tptp.extended_MInfty)) % 0.39/0.67 (assume @p39 (= (_ tptp.uminus1208298309_ereal tptp.extended_MInfty) tptp.extended_PInfty)) % 0.39/0.67 (assume @p40 (_ @t88 tptp.zero_z163181189_ereal)) % 0.39/0.67 (assume @p41 (forall @t90 (exists (@list @t112) (or (_ @t100 @t112) (_ (_ tptp.ord_le2001149050_ereal @t112) @t87))))) % 0.39/0.67 (assume @p42 (forall @t114 (=> @t95 @t113))) % 0.39/0.67 (assume @p43 (forall @t90 (= (= @t97 tptp.zero_z163181189_ereal) @t115))) % 0.39/0.67 (assume @p44 (= (_ tptp.uminus1208298309_ereal tptp.zero_z163181189_ereal) tptp.zero_z163181189_ereal)) % 0.39/0.67 (assume @p45 (forall @t90 (= (_ @t117 @t97) @t116))) % 0.39/0.67 (assume @p46 (forall @t92 (= (= tptp.zero_z163181189_ereal @t91) (= @t91 tptp.zero_z163181189_ereal)))) % 0.39/0.67 (assume @p47 (not (= tptp.extend1289208545_ereal tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p48 (= tptp.extend1289208545_ereal tptp.extended_PInfty)) % 0.39/0.67 (assume @p49 (not (= tptp.extended_PInfty tptp.extended_MInfty))) % 0.39/0.67 (assume @p50 (not (= @t25 tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p51 (_ @t117 tptp.extend1289208545_ereal)) % 0.39/0.67 (assume @p52 (forall @t125 (=> (= @t87 @t124) @t123))) % 0.39/0.67 (assume @p53 (forall @t128 (=> @t127 (=> (= @t124 @t118) @t126)))) % 0.39/0.67 (assume @p54 (forall @t125 (=> (_ @t100 @t124) @t123))) % 0.39/0.67 (assume @p55 (forall @t128 (=> @t127 (=> (_ (_ tptp.ord_le2001149050_ereal @t124) @t118) @t126)))) % 0.39/0.67 (assume @p56 (forall @t136 (=> @t135 (=> @t133 @t131)))) % 0.39/0.67 (assume @p57 (forall @t136 (= @t135 (or @t132 @t131)))) % 0.39/0.67 (assume @p58 (forall @t99 (=> @t127 (not @t95)))) % 0.39/0.67 (assume @p59 (forall @t136 (=> @t132 (exists @t57 (and (_ @t104 @t53) (_ @t82 @t129)))))) % 0.39/0.67 (assume @p60 (forall @t136 (=> @t132 @t135))) % 0.39/0.67 (assume @p61 (forall @t136 (=> @t132 @t137))) % 0.39/0.67 (assume @p62 (forall @t139 (=> @t132 (=> (_ @t130 @t138) (_ @t104 @t138))))) % 0.39/0.67 (assume @p63 (forall @t136 (or @t132 @t134 @t131))) % 0.39/0.67 (assume @p64 (forall @t92 (not (_ @t104 @t91)))) % 0.39/0.67 (assume @p65 (forall @t142 (=> @t105 @t141))) % 0.39/0.67 (assume @p66 (forall @t142 (=> @t127 (=> (= @t93 @t118) @t140)))) % 0.39/0.67 (assume @p67 (forall @t114 (=> @t95 (not @t127)))) % 0.39/0.67 (assume @p68 (forall (@list @t129 @t91) (=> @t137 (= @t133 @t134)))) % 0.39/0.67 (assume @p69 (forall @t136 (=> @t132 (not (= @t129 @t91))))) % 0.39/0.67 (assume @p70 (forall (@list @t91 @t129 @t143) (=> @t132 (=> @t131 @t143)))) % 0.39/0.67 (assume @p71 (forall @t136 (=> @t133 (=> @t135 @t131)))) % 0.39/0.67 (assume @p72 (forall @t142 (=> @t127 @t141))) % 0.39/0.67 (assume @p73 (forall (@list @t144 @t87 @t93) (=> (forall @t148 (=> (_ (_ tptp.ord_le2001149050_ereal @t145) @t112) @t147)) (=> (forall (@list @t145) (_ @t146 @t145)) (=> (forall @t148 (=> (_ (_ @t144 @t112) @t145) @t147)) (_ (_ @t144 @t87) @t93)))))) % 0.39/0.67 (assume @p74 (forall @t150 (=> @t95 (=> (_ @t149 @t93) (_ @t149 @t87))))) % 0.39/0.67 (assume @p75 (forall @t136 (= @t133 (or @t131 @t134)))) % 0.39/0.67 (assume @p76 (forall @t99 (=> @t127 @t113))) % 0.39/0.67 (assume @p77 (forall @t99 (= (= @t157 tptp.extend1289208545_ereal) (or (and @t102 @t155) (and @t154 @t153) (and @t89 @t152) (and @t116 @t151))))) % 0.39/0.67 (assume @p78 (forall @t99 (= (= @t157 @t25) (or (and @t102 @t152) (and @t116 @t153) (and @t89 @t155) (and @t154 @t151))))) % 0.39/0.67 (assume @p79 (forall @t90 (and (=> @t115 (= @t158 tptp.zero_z163181189_ereal)) (=> @t160 (and (=> @t154 (= @t158 tptp.extend1289208545_ereal)) (=> @t159 (= @t158 @t25))))))) % 0.39/0.67 (assume @p80 (forall @t90 (and (=> @t115 (= @t162 tptp.zero_z163181189_ereal)) (=> @t160 (and (=> @t154 (= @t162 tptp.extend1289208545_ereal)) (=> @t159 (= @t162 @t25))))))) % 0.39/0.67 (assume @p81 (forall @t92 (= (_ @t163 @t25) tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p82 (forall @t99 (= (_ (_ tptp.times_1966848393_ereal @t97) @t93) @t164))) % 0.39/0.67 (assume @p83 (forall @t99 (= (_ @t156 @t96) @t164))) % 0.39/0.67 (assume @p84 (forall @t99 (= (= @t157 tptp.zero_z163181189_ereal) (or @t115 (= @t93 tptp.zero_z163181189_ereal))))) % 0.39/0.67 (assume @p85 (forall @t90 (= (_ (_ tptp.times_1966848393_ereal tptp.zero_z163181189_ereal) @t87) tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p86 (forall @t90 (= (_ @t156 tptp.zero_z163181189_ereal) tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p87 (forall @t136 (= (_ (_ tptp.divide595620860_ereal (_ tptp.uminus1208298309_ereal @t91)) @t129) (_ tptp.uminus1208298309_ereal (_ @t163 @t129))))) % 0.39/0.67 (assume @p88 (forall @t90 (= (_ (_ tptp.divide595620860_ereal tptp.zero_z163181189_ereal) @t87) tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p89 (forall (@list @t93 @t118 @t87) (= (_ (_ tptp.times_1966848393_ereal @t167) @t87) (_ (_ tptp.divide595620860_ereal @t166) @t118)))) % 0.39/0.67 (assume @p90 (forall @t92 (= (_ @t163 tptp.extend1289208545_ereal) tptp.zero_z163181189_ereal))) % 0.39/0.67 (assume @p91 (forall @t150 (= (_ @t165 @t170) @t169))) % 0.39/0.67 (assume @p92 (= tptp.times_1966848393_ereal (lambda (@list @t171 @t172) (_ (_ tptp.times_1966848393_ereal @t172) @t171)))) % 0.39/0.67 (assume @p93 (forall @t142 (= (_ (_ tptp.times_1966848393_ereal @t157) @t118) @t169))) % 0.39/0.67 (assume @p94 (forall @t142 (= (_ @t156 @t167) (_ (_ tptp.divide595620860_ereal @t157) @t118)))) % 0.39/0.67 (assume @p95 (= (_ @t161 tptp.extend1289208545_ereal) tptp.extend1289208545_ereal)) % 0.39/0.67 (assume @p96 (forall @t178 (=> @t177 (=> @t176 (= @t175 (_ (_ tptp.times_1966848393_ereal @t173) @t93)))))) % 0.39/0.67 (assume @p97 (forall @t178 (=> @t177 (=> @t176 (= @t170 @t179))))) % 0.39/0.67 (assume @p98 (forall @t114 (=> @t155 (=> (_ @t94 tptp.extend1289208545_ereal) (= (_ @t165 (_ @t180 @t93)) @t87))))) % 0.39/0.67 (assume @p99 (forall @t183 (=> @t182 (=> @t181 (= (_ (_ tptp.ord_le2001149050_ereal (_ @t180 @t118)) @t93) (_ @t100 @t168)))))) % 0.39/0.67 (assume @p100 (forall @t139 (=> @t185 (=> @t103 (= (_ (_ tptp.ord_le2001149050_ereal (_ (_ tptp.divide595620860_ereal @t129) @t91)) @t138) (_ @t130 (_ @t184 @t138))))))) % 0.39/0.67 (assume @p101 (forall @t183 (=> @t182 (=> @t181 (= (_ @t100 @t167) (_ @t186 @t93)))))) % 0.39/0.67 (assume @p102 (forall @t139 (=> @t185 (=> @t103 (= (_ @t130 (_ (_ tptp.divide595620860_ereal @t138) @t91)) (_ (_ tptp.ord_le2001149050_ereal (_ @t184 @t129)) @t138)))))) % 0.39/0.67 (assume @p103 (= (_ @t187 @t25) tptp.extend1289208545_ereal)) % 0.39/0.67 (assume @p104 (= (_ @t161 @t25) @t25)) % 0.39/0.67 (assume @p105 (= (_ @t187 tptp.extend1289208545_ereal) @t25)) % 0.39/0.67 (assume @p106 (forall @t99 (= (_ (_ tptp.ord_le2001149050_ereal @t157) tptp.zero_z163181189_ereal) (or (and @t154 @t152) (and @t116 @t155))))) % 0.39/0.67 (assume @p107 (forall @t99 (= (_ @t117 @t157) (or (and @t154 @t155) (and @t116 @t152))))) % 0.39/0.67 (assume @p108 (forall (@list @t93 @t118 @t87 @t173) (=> @t155 @t188))) % 0.39/0.67 (assume @p109 (forall (@list @t87 @t118 @t93 @t173) (=> @t154 @t188))) % 0.39/0.67 (assume @p110 (forall @t150 (=> (_ (_ tptp.ord_le2001149050_ereal @t166) @t175) (=> @t154 (=> @t101 @t122))))) % 0.39/0.67 (assume @p111 (forall @t142 (=> @t127 (=> @t182 (=> @t181 (_ (_ tptp.ord_le2001149050_ereal @t175) (_ @t174 @t93))))))) % 0.39/0.67 (assume @p112 (forall @t142 (=> @t127 (=> @t182 (=> @t181 (_ @t186 @t168)))))) % 0.39/0.67 (assume @p113 (not (not @t190))) % 0.39/0.67 (assume @p114 true) % 0.39/0.67 (step @p115 :rule cnf_equiv_pos1 :args (@t203)) % 0.39/0.67 (step @p116 :rule reordering :premises (@p115) :args ((or @t205 @t191 @t204))) % 0.39/0.67 (step @p117 :rule eq-symm :args (@t191 @t205)) % 0.39/0.67 (step @p118 :rule refl :args (@t205)) % 0.39/0.67 (step @p119 :rule refl :args (@t191)) % 0.39/0.67 (step @p120 :rule refl :args (@t21)) % 0.39/0.67 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t21 @t191))) % 0.39/0.67 (step @p122 :rule symm :premises (@p121)) % 0.39/0.67 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.39/0.67 (step @p124 :rule cong :premises (@p123 @p118) :args ((= @t21 @t205))) % 0.39/0.67 (step @p125 :rule trans :premises (@p124 @p117)) % 0.39/0.67 (step @p126 :rule refl :args (@t199)) % 0.39/0.67 (step @p127 :rule refl :args ((tptp.ord_le2001149050_ereal @t3 @t16))) % 0.39/0.67 (step @p128 :rule refl :args (@t200)) % 0.39/0.67 (step @p129 :rule refl :args (@t3)) % 0.39/0.67 (step @p130 :rule cong :premises (@p129 @p128) :args (@t201)) % 0.39/0.67 (step @p131 :rule trans :premises (@p130 @p127)) % 0.39/0.67 (step @p132 :rule refl :args (@t4)) % 0.39/0.67 (step @p133 :rule ho_cong :premises (@p132 @p128)) % 0.39/0.67 (step @p134 :rule cong :premises (@p133 @p131) :args ((= (_ @t4 @t200) @t201))) % 0.39/0.67 (step @p135 :rule symm :premises (@p134)) % 0.39/0.67 (step @p136 :rule refl :args (@t17)) % 0.39/0.67 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.39/0.67 (step @p138 :rule refl :args (@t16)) % 0.39/0.67 (step @p139 :rule cong :premises (@p138 @p128) :args ((= @t16 @t200))) % 0.39/0.67 (step @p140 :rule symm :premises (@p139)) % 0.39/0.67 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.39/0.67 (step @p142 :rule ho_cong :premises (@p132 @p141)) % 0.39/0.67 (step @p143 :rule trans :premises (@p142 @p137)) % 0.39/0.67 (step @p144 :rule cong :premises (@p143) :args (@t206)) % 0.39/0.67 (step @p145 :rule nary_cong :premises (@p144 @p126) :args (@t207)) % 0.39/0.67 (step @p146 :rule cong :premises (@p145) :args ((forall @t19 @t207))) % 0.39/0.67 (step @p147 :rule bool-impl-elim :args (@t17 @t199)) % 0.39/0.67 (step @p148 :rule cong :premises (@p147) :args ((forall @t19 (=> @t17 @t199)))) % 0.39/0.67 (step @p149 :rule trans :premises (@p148 @p146)) % 0.39/0.67 (step @p150 :rule refl :args (@t196)) % 0.39/0.67 (step @p151 :rule refl :args (@t197)) % 0.39/0.67 (step @p152 :rule refl :args (@t11)) % 0.39/0.67 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t11 @t197))) % 0.39/0.67 (step @p154 :rule symm :premises (@p153)) % 0.39/0.67 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.39/0.67 (step @p156 :rule cong :premises (@p155) :args (@t208)) % 0.39/0.67 (step @p157 :rule refl :args (@t198)) % 0.39/0.67 (step @p158 :rule refl :args (@t12)) % 0.39/0.67 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t12 @t198))) % 0.39/0.67 (step @p160 :rule symm :premises (@p159)) % 0.39/0.67 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 0.39/0.67 (step @p162 :rule cong :premises (@p161) :args (@t209)) % 0.39/0.67 (step @p163 :rule nary_cong :premises (@p162 @p156 @p150) :args (@t210)) % 0.39/0.67 (step @p164 :rule cong :premises (@p163) :args ((forall @t14 @t210))) % 0.39/0.67 (step @p165 :rule aci_norm :args ((= (or @t209 (or @t208 @t196)) @t210))) % 0.39/0.67 (step @p166 :rule bool-and-de-morgan :args (@t11 @t195 true)) % 0.39/0.67 (step @p167 :rule refl :args (@t209)) % 0.39/0.67 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t209 (not (and @t11 @t195))))) % 0.39/0.67 (step @p169 :rule bool-and-de-morgan :args (@t12 @t11 (and @t195))) % 0.39/0.67 (step @p170 :rule trans :premises (@p169 @p168)) % 0.39/0.67 (step @p171 :rule trans :premises (@p170 @p165)) % 0.39/0.67 (step @p172 :rule cong :premises (@p171) :args (@t212)) % 0.39/0.67 (step @p173 :rule trans :premises (@p172 @p164)) % 0.39/0.67 (step @p174 :rule cong :premises (@p173) :args (@t213)) % 0.39/0.67 (step @p175 :rule exists-elim :args ((= (exists @t14 @t211) @t213))) % 0.39/0.67 (step @p176 :rule trans :premises (@p175 @p174)) % 0.39/0.67 (step @p177 :rule refl :args ((tptp.ord_le2001149050_ereal @t3 @t2))) % 0.39/0.67 (step @p178 :rule refl :args (@t192)) % 0.39/0.67 (step @p179 :rule cong :premises (@p129 @p178) :args (@t193)) % 0.39/0.67 (step @p180 :rule trans :premises (@p179 @p177)) % 0.39/0.67 (step @p181 :rule ho_cong :premises (@p132 @p178)) % 0.39/0.67 (step @p182 :rule cong :premises (@p181 @p180) :args ((= (_ @t4 @t192) @t193))) % 0.39/0.67 (step @p183 :rule symm :premises (@p182)) % 0.39/0.67 (step @p184 :rule refl :args (@t5)) % 0.39/0.67 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.39/0.67 (step @p186 :rule refl :args (@t2)) % 0.39/0.67 (step @p187 :rule cong :premises (@p186 @p178) :args ((= @t2 @t192))) % 0.39/0.67 (step @p188 :rule symm :premises (@p187)) % 0.39/0.67 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 0.39/0.67 (step @p190 :rule ho_cong :premises (@p132 @p189)) % 0.39/0.67 (step @p191 :rule trans :premises (@p190 @p185)) % 0.39/0.67 (step @p192 :rule refl :args (@t194)) % 0.39/0.67 (step @p193 :rule refl :args (@t8)) % 0.39/0.67 (step @p194 :rule cong :premises (@p193 @p192) :args ((= @t8 @t194))) % 0.39/0.67 (step @p195 :rule symm :premises (@p194)) % 0.39/0.67 (step @p196 :rule eq_resolve :premises (@p193 @p195)) % 0.39/0.67 (step @p197 :rule cong :premises (@p196) :args (@t214)) % 0.39/0.67 (step @p198 :rule nary_cong :premises (@p197 @p191) :args (@t215)) % 0.39/0.67 (step @p199 :rule cong :premises (@p198) :args ((forall @t9 @t215))) % 0.39/0.67 (step @p200 :rule bool-impl-elim :args (@t8 @t5)) % 0.39/0.67 (step @p201 :rule cong :premises (@p200) :args (@t10)) % 0.39/0.67 (step @p202 :rule trans :premises (@p201 @p199)) % 0.39/0.67 (step @p203 :rule refl :args (@t11)) % 0.39/0.67 (step @p204 :rule refl :args (@t12)) % 0.39/0.67 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t13)) % 0.39/0.67 (step @p206 :rule cong :premises (@p205) :args (@t15)) % 0.39/0.67 (step @p207 :rule trans :premises (@p206 @p176)) % 0.39/0.67 (step @p208 :rule refl :args (@t17)) % 0.39/0.67 (step @p209 :rule cong :premises (@p208 @p207) :args (@t18)) % 0.39/0.67 (step @p210 :rule cong :premises (@p209) :args (@t20)) % 0.39/0.67 (step @p211 :rule trans :premises (@p210 @p149)) % 0.39/0.67 (step @p212 :rule cong :premises (@p211) :args (@t189)) % 0.39/0.67 (step @p213 :rule refl :args (@t21)) % 0.39/0.67 (step @p214 :rule cong :premises (@p213 @p212) :args (@t190)) % 0.39/0.67 (step @p215 :rule bool-double-not-elim :args (@t190)) % 0.39/0.67 (step @p216 :rule trans :premises (@p215 @p214)) % 0.39/0.67 (step @p217 :rule trans :premises (@p216 @p125)) % 0.39/0.67 (step @p218 :rule eq_resolve :premises (@p113 @p217)) % 0.39/0.67 (step @p219 :rule equiv_elim2 :premises (@p218)) % 0.39/0.67 (step @p220 :rule chain_m_resolution :premises (@p219 @p116) :args ((or @t205 @t204) (@list false) (@list @t191))) % 0.39/0.67 (step @p221 :rule cnf_equiv_pos2 :args (@t203)) % 0.39/0.67 (step @p222 :rule reordering :premises (@p221) :args ((or @t202 (not @t191) @t204))) % 0.39/0.67 (step @p223 :rule refl :args (@t191)) % 0.39/0.67 (step @p224 :rule bool-double-not-elim :args (@t202)) % 0.39/0.67 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t205) @t191))) % 0.39/0.67 (step @p226 :rule equiv_elim1 :premises (@p218)) % 0.39/0.67 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.39/0.67 (step @p228 :rule chain_m_resolution :premises (@p227 @p222 @p220) :args (@t204 @t216 (@list @t191 @t202))) % 0.39/0.67 (step @p229 :rule eq-symm :args (@t191 @t202)) % 0.39/0.67 (step @p230 :rule refl :args (@t202)) % 0.39/0.67 (step @p231 :rule cong :premises (@p123 @p230) :args (@t217)) % 0.39/0.67 (step @p232 :rule trans :premises (@p231 @p229)) % 0.39/0.67 (step @p233 :rule refl :args (@t218)) % 0.39/0.67 (step @p234 :rule refl :args (@t25)) % 0.39/0.67 (step @p235 :rule cong :premises (@p234 @p233) :args ((= @t25 @t218))) % 0.39/0.67 (step @p236 :rule symm :premises (@p235)) % 0.39/0.67 (step @p237 :rule eq_resolve :premises (@p234 @p236)) % 0.39/0.67 (step @p238 :rule cong :premises (@p141 @p237) :args (@t26)) % 0.39/0.67 (step @p239 :rule cong :premises (@p238 @p232) :args ((=> @t26 @t217))) % 0.39/0.67 (step @p240 :rule cong :premises (@p213 @p211) :args (@t22)) % 0.39/0.67 (step @p241 :rule refl :args (@t26)) % 0.39/0.67 (step @p242 :rule cong :premises (@p241 @p240) :args (@t27)) % 0.39/0.67 (step @p243 :rule trans :premises (@p242 @p239)) % 0.39/0.67 (step @p244 :rule eq_resolve :premises (@p2 @p243)) % 0.39/0.67 (step @p245 :rule implies_elim :premises (@p244)) % 0.39/0.67 (step @p246 :rule reordering :premises (@p245) :args ((or @t203 @t220))) % 0.39/0.67 (step @p247 :rule chain_m_resolution :premises (@p246 @p228) :args (@t220 @t221 @t222)) % 0.39/0.67 (step @p248 :rule refl :args (tptp.extend1289208545_ereal)) % 0.39/0.67 (step @p249 :rule cong :premises (@p248 @p141) :args (@t223)) % 0.39/0.67 (step @p250 :rule cong :premises (@p249 @p232) :args ((=> @t223 @t217))) % 0.39/0.67 (step @p251 :rule eq-symm :args (@t16 tptp.extend1289208545_ereal)) % 0.39/0.67 (step @p252 :rule cong :premises (@p251 @p240) :args (@t24)) % 0.39/0.67 (step @p253 :rule trans :premises (@p252 @p250)) % 0.39/0.67 (step @p254 :rule eq_resolve :premises (@p1 @p253)) % 0.39/0.67 (step @p255 :rule implies_elim :premises (@p254)) % 0.39/0.67 (step @p256 :rule reordering :premises (@p255) :args ((or @t203 @t225))) % 0.39/0.67 (step @p257 :rule chain_m_resolution :premises (@p256 @p228) :args (@t225 @t221 @t222)) % 0.39/0.67 (step @p258 :rule refl :args (@t203)) % 0.39/0.67 (step @p259 :rule bool-double-not-elim :args (@t224)) % 0.39/0.67 (step @p260 :rule refl :args (@t227)) % 0.39/0.67 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args ((or @t227 (not @t225) @t203))) % 0.39/0.67 (step @p262 :rule cnf_implies_pos :args (@t226)) % 0.39/0.67 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.39/0.67 (step @p264 :rule reordering :premises (@p263) :args ((or @t203 @t224 @t227))) % 0.39/0.67 (step @p265 :rule chain_m_resolution :premises (@p264 @p228 @p257) :args (@t227 @t216 (@list @t203 @t224))) % 0.39/0.67 (step @p266 :rule refl :args (@t226)) % 0.39/0.67 (step @p267 :rule bool-double-not-elim :args (@t219)) % 0.39/0.67 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or (not @t220) @t226))) % 0.39/0.67 (step @p269 :rule cong :premises (@p249) :args (@t228)) % 0.39/0.67 (step @p270 :rule cong :premises (@p269 @p232) :args (@t229)) % 0.39/0.67 (step @p271 :rule cong :premises (@p238) :args (@t30)) % 0.39/0.67 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t30 @t229))) % 0.39/0.67 (step @p273 :rule cong :premises (@p251) :args (@t28)) % 0.39/0.67 (step @p274 :rule cong :premises (@p273 @p240) :args (@t29)) % 0.39/0.67 (step @p275 :rule refl :args (@t30)) % 0.39/0.67 (step @p276 :rule cong :premises (@p275 @p274) :args (@t31)) % 0.39/0.67 (step @p277 :rule trans :premises (@p276 @p272)) % 0.39/0.67 (step @p278 :rule eq_resolve :premises (@p3 @p277)) % 0.39/0.67 (step @p279 :rule implies_elim :premises (@p278)) % 0.39/0.67 (step @p280 :rule eq_resolve :premises (@p279 @p268)) % 0.39/0.67 (step @p281 false :rule chain_m_resolution :premises (@p280 @p265 @p247) :args (false @t216 (@list @t226 @t219))) % 0.39/0.67 ) % 0.39/0.67 % SZS output end Proof % 0.39/0.67 % cvc5 exiting %------------------------------------------------------------------------------