%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP113-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:19:47 AM UTC 2026 % Result : Unsatisfiable 15.96s 16.34s % Output : Proof 15.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP113-1 : TPTP v9.2.1. Released v1.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n009.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 00:49:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.87/16.11 --- Run --no-e-matching --full-saturate-quant at 6... % 15.96/16.34 % SZS status Unsatisfiable % 15.96/16.34 % SZS output start Proof % 15.96/16.43 ( % 15.96/16.43 (declare-sort $$unsorted 0) % 15.96/16.43 (declare-const tptp.a $$unsorted) % 15.96/16.43 (declare-const tptp.b $$unsorted) % 15.96/16.43 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.96/16.43 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.96/16.43 (declare-const tptp.c $$unsorted) % 15.96/16.43 (declare-const tptp.identity $$unsorted) % 15.96/16.43 (define @t1 () (@var "X" $$unsorted)) % 15.96/16.43 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.96/16.43 (define @t3 () (@list @t1)) % 15.96/16.43 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.96/16.43 (define @t5 () (tptp.inverse @t1)) % 15.96/16.43 (define @t6 () (tptp.multiply @t5 @t1)) % 15.96/16.43 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 15.96/16.43 (define @t8 () (@var "Z" $$unsorted)) % 15.96/16.43 (define @t9 () (@var "Y" $$unsorted)) % 15.96/16.43 (define @t10 () (forall (@list @t1 @t9 @t8) (= (tptp.multiply (tptp.multiply @t1 @t9) @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 15.96/16.43 (define @t11 () (tptp.multiply @t1 tptp.identity)) % 15.96/16.43 (define @t12 () (forall @t3 (= @t11 @t1))) % 15.96/16.43 (define @t13 () (tptp.multiply @t1 @t5)) % 15.96/16.43 (define @t14 () (forall @t3 (= @t13 tptp.identity))) % 15.96/16.43 (define @t15 () (= @t1 tptp.c)) % 15.96/16.43 (define @t16 () (= @t1 tptp.b)) % 15.96/16.43 (define @t17 () (= @t1 tptp.a)) % 15.96/16.43 (define @t18 () (or @t17 @t16 @t15 (= @t1 tptp.identity))) % 15.96/16.43 (define @t19 () (forall @t3 @t18)) % 15.96/16.43 (define @t20 () (= tptp.a tptp.b)) % 15.96/16.43 (define @t21 () (not @t20)) % 15.96/16.43 (define @t22 () (= tptp.a tptp.c)) % 15.96/16.43 (define @t23 () (not @t22)) % 15.96/16.43 (define @t24 () (= tptp.b tptp.c)) % 15.96/16.43 (define @t25 () (not @t24)) % 15.96/16.43 (define @t26 () (tptp.multiply tptp.c tptp.c)) % 15.96/16.43 (define @t27 () (not (= @t26 tptp.identity))) % 15.96/16.43 (define @t28 () (tptp.multiply tptp.b tptp.b)) % 15.96/16.43 (define @t29 () (not (= @t28 tptp.identity))) % 15.96/16.43 (define @t30 () (tptp.multiply tptp.a tptp.a)) % 15.96/16.43 (define @t31 () (not (= @t30 tptp.identity))) % 15.96/16.43 (define @t32 () (or @t31 @t29 @t27)) % 15.96/16.43 (define @t33 () (tptp.multiply tptp.a @t30)) % 15.96/16.43 (define @t34 () (tptp.multiply tptp.a @t33)) % 15.96/16.43 (define @t35 () (not (= @t34 tptp.identity))) % 15.96/16.43 (define @t36 () (not (= @t33 tptp.c))) % 15.96/16.43 (define @t37 () (= @t30 tptp.b)) % 15.96/16.43 (define @t38 () (not @t37)) % 15.96/16.43 (define @t39 () (or @t38 @t36 @t35)) % 15.96/16.43 (define @t40 () (tptp.multiply tptp.b @t28)) % 15.96/16.43 (define @t41 () (tptp.multiply tptp.b @t40)) % 15.96/16.43 (define @t42 () (not (= @t41 tptp.identity))) % 15.96/16.43 (define @t43 () (= @t40 tptp.a)) % 15.96/16.43 (define @t44 () (not @t43)) % 15.96/16.43 (define @t45 () (= @t28 tptp.c)) % 15.96/16.43 (define @t46 () (not @t45)) % 15.96/16.43 (define @t47 () (or @t46 @t44 @t42)) % 15.96/16.43 (define @t48 () (tptp.multiply tptp.c @t26)) % 15.96/16.43 (define @t49 () (tptp.multiply tptp.c @t48)) % 15.96/16.43 (define @t50 () (not (= @t49 tptp.identity))) % 15.96/16.43 (define @t51 () (= @t48 tptp.b)) % 15.96/16.43 (define @t52 () (not @t51)) % 15.96/16.43 (define @t53 () (= @t26 tptp.a)) % 15.96/16.43 (define @t54 () (not @t53)) % 15.96/16.43 (define @t55 () (or @t54 @t52 @t50)) % 15.96/16.43 (define @t56 () (@list tptp.identity)) % 15.96/16.43 (define @t57 () (tptp.inverse tptp.identity)) % 15.96/16.43 (define @t58 () (@list tptp.a)) % 15.96/16.43 (define @t59 () (tptp.inverse tptp.a)) % 15.96/16.43 (define @t60 () (@list tptp.a tptp.a @t59)) % 15.96/16.43 (define @t61 () (tptp.multiply tptp.a @t59)) % 15.96/16.43 (define @t62 () (tptp.multiply tptp.a @t61)) % 15.96/16.43 (define @t63 () (tptp.multiply @t30 @t59)) % 15.96/16.43 (define @t64 () (= @t63 @t62)) % 15.96/16.43 (define @t65 () (forall @t3 (= tptp.identity @t13))) % 15.96/16.43 (define @t66 () (= tptp.identity @t61)) % 15.96/16.43 (define @t67 () (forall @t3 (= @t1 @t11))) % 15.96/16.43 (define @t68 () (tptp.multiply tptp.a tptp.identity)) % 15.96/16.43 (define @t69 () (= tptp.a @t68)) % 15.96/16.43 (define @t70 () (= tptp.a @t30)) % 15.96/16.43 (define @t71 () (= tptp.identity @t30)) % 15.96/16.43 (define @t72 () (and @t70 @t69 @t66 @t64)) % 15.96/16.43 (define @t73 () (not @t64)) % 15.96/16.43 (define @t74 () (not @t66)) % 15.96/16.43 (define @t75 () (not @t69)) % 15.96/16.43 (define @t76 () (or (= @t30 tptp.a) @t37 (= @t30 tptp.c) @t71)) % 15.96/16.43 (define @t77 () (forall @t3 (or @t17 @t16 @t15 (= tptp.identity @t1)))) % 15.96/16.43 (define @t78 () (= tptp.c @t30)) % 15.96/16.43 (define @t79 () (= tptp.b @t30)) % 15.96/16.43 (define @t80 () (or @t70 @t79 @t78 @t71)) % 15.96/16.43 (define @t81 () (@list false)) % 15.96/16.43 (define @t82 () (@list @t77)) % 15.96/16.43 (define @t83 () (= tptp.a @t40)) % 15.96/16.43 (define @t84 () (= tptp.a @t28)) % 15.96/16.43 (define @t85 () (tptp.multiply tptp.b tptp.a)) % 15.96/16.43 (define @t86 () (tptp.multiply tptp.b @t85)) % 15.96/16.43 (define @t87 () (tptp.multiply @t28 tptp.a)) % 15.96/16.43 (define @t88 () (= @t87 @t86)) % 15.96/16.43 (define @t89 () (and @t83 @t84 @t88)) % 15.96/16.43 (define @t90 () (not @t88)) % 15.96/16.43 (define @t91 () (not @t84)) % 15.96/16.43 (define @t92 () (not @t83)) % 15.96/16.43 (define @t93 () (= tptp.b @t40)) % 15.96/16.43 (define @t94 () (and @t84 @t93 @t88)) % 15.96/16.43 (define @t95 () (not @t93)) % 15.96/16.43 (define @t96 () (= tptp.c @t40)) % 15.96/16.43 (define @t97 () (tptp.multiply @t40 @t59)) % 15.96/16.43 (define @t98 () (tptp.multiply tptp.b @t97)) % 15.96/16.43 (define @t99 () (tptp.multiply @t41 @t59)) % 15.96/16.43 (define @t100 () (= @t99 @t98)) % 15.96/16.43 (define @t101 () (and @t78 @t84 @t96 @t69 @t66 @t64 @t88 @t100)) % 15.96/16.43 (define @t102 () (not @t100)) % 15.96/16.43 (define @t103 () (not @t96)) % 15.96/16.43 (define @t104 () (not @t78)) % 15.96/16.43 (define @t105 () (= tptp.identity @t40)) % 15.96/16.43 (define @t106 () (or @t43 (= @t40 tptp.b) (= @t40 tptp.c) @t105)) % 15.96/16.43 (define @t107 () (or @t83 @t93 @t96 @t105)) % 15.96/16.43 (define @t108 () (@list tptp.b)) % 15.96/16.43 (define @t109 () (tptp.multiply tptp.b tptp.identity)) % 15.96/16.43 (define @t110 () (= tptp.b @t109)) % 15.96/16.43 (define @t111 () (and @t84 @t105 @t88 @t110)) % 15.96/16.43 (define @t112 () (not @t110)) % 15.96/16.43 (define @t113 () (not @t105)) % 15.96/16.43 (define @t114 () (= tptp.a @t59)) % 15.96/16.43 (define @t115 () (not @t114)) % 15.96/16.43 (define @t116 () (tptp.multiply tptp.identity @t57)) % 15.96/16.43 (define @t117 () (= @t57 @t116)) % 15.96/16.43 (define @t118 () (not @t117)) % 15.96/16.43 (define @t119 () (= tptp.identity @t116)) % 15.96/16.43 (define @t120 () (not @t119)) % 15.96/16.43 (define @t121 () (tptp.multiply tptp.identity tptp.identity)) % 15.96/16.43 (define @t122 () (= tptp.identity @t121)) % 15.96/16.43 (define @t123 () (not @t122)) % 15.96/16.43 (define @t124 () (= tptp.identity tptp.c)) % 15.96/16.43 (define @t125 () (not @t124)) % 15.96/16.43 (define @t126 () (not @t125)) % 15.96/16.43 (define @t127 () (= tptp.c @t57)) % 15.96/16.43 (define @t128 () (= false true)) % 15.96/16.43 (define @t129 () (and @t122 @t119 @t117 @t127 @t125)) % 15.96/16.43 (define @t130 () (= tptp.identity @t59)) % 15.96/16.43 (define @t131 () (and @t69 @t66 @t130)) % 15.96/16.43 (define @t132 () (forall @t3 (= @t1 @t2))) % 15.96/16.43 (define @t133 () (= tptp.b @t59)) % 15.96/16.43 (define @t134 () (not @t133)) % 15.96/16.43 (define @t135 () (tptp.multiply @t59 tptp.a)) % 15.96/16.43 (define @t136 () (= tptp.identity @t135)) % 15.96/16.43 (define @t137 () (not @t136)) % 15.96/16.43 (define @t138 () (= tptp.b @t28)) % 15.96/16.43 (define @t139 () (not @t138)) % 15.96/16.43 (define @t140 () (= tptp.identity tptp.b)) % 15.96/16.43 (define @t141 () (not @t140)) % 15.96/16.43 (define @t142 () (not @t141)) % 15.96/16.43 (define @t143 () (= tptp.b @t57)) % 15.96/16.43 (define @t144 () (and @t122 @t119 @t117 @t143 @t141)) % 15.96/16.43 (define @t145 () (= tptp.identity @t28)) % 15.96/16.43 (define @t146 () (or (= @t28 tptp.a) (= @t28 tptp.b) @t45 @t145)) % 15.96/16.43 (define @t147 () (= tptp.c @t28)) % 15.96/16.43 (define @t148 () (or @t84 @t138 @t147 @t145)) % 15.96/16.43 (define @t149 () (tptp.multiply tptp.identity tptp.a)) % 15.96/16.43 (define @t150 () (= tptp.a @t149)) % 15.96/16.43 (define @t151 () (and @t145 @t150 @t136 @t88 @t110 @t133)) % 15.96/16.43 (define @t152 () (not @t150)) % 15.96/16.43 (define @t153 () (not @t145)) % 15.96/16.43 (define @t154 () (or (= @t59 tptp.a) (= @t59 tptp.b) (= @t59 tptp.c) @t130)) % 15.96/16.43 (define @t155 () (= tptp.c @t59)) % 15.96/16.43 (define @t156 () (or @t114 @t133 @t155 @t130)) % 15.96/16.43 (define @t157 () (tptp.inverse tptp.b)) % 15.96/16.43 (define @t158 () (tptp.multiply tptp.b @t157)) % 15.96/16.43 (define @t159 () (tptp.multiply @t26 @t158)) % 15.96/16.43 (define @t160 () (tptp.multiply @t26 tptp.b)) % 15.96/16.43 (define @t161 () (tptp.multiply @t160 @t157)) % 15.96/16.43 (define @t162 () (= @t161 @t159)) % 15.96/16.43 (define @t163 () (not @t162)) % 15.96/16.43 (define @t164 () (= tptp.identity @t158)) % 15.96/16.43 (define @t165 () (not @t164)) % 15.96/16.43 (define @t166 () (not @t155)) % 15.96/16.43 (define @t167 () (tptp.multiply tptp.c tptp.b)) % 15.96/16.43 (define @t168 () (= tptp.b @t167)) % 15.96/16.43 (define @t169 () (not @t168)) % 15.96/16.43 (define @t170 () (tptp.multiply tptp.c @t167)) % 15.96/16.43 (define @t171 () (= @t160 @t170)) % 15.96/16.43 (define @t172 () (not @t171)) % 15.96/16.43 (define @t173 () (= tptp.identity tptp.a)) % 15.96/16.43 (define @t174 () (not @t173)) % 15.96/16.43 (define @t175 () (not @t174)) % 15.96/16.43 (define @t176 () (= tptp.identity @t48)) % 15.96/16.43 (define @t177 () (= tptp.a @t48)) % 15.96/16.43 (define @t178 () (tptp.multiply tptp.c @t59)) % 15.96/16.43 (define @t179 () (tptp.multiply tptp.c tptp.a)) % 15.96/16.43 (define @t180 () (tptp.multiply @t26 @t57)) % 15.96/16.43 (define @t181 () (and @t122 @t176 @t177 @t174)) % 15.96/16.43 (define @t182 () (= tptp.identity @t49)) % 15.96/16.43 (define @t183 () (not @t182)) % 15.96/16.43 (define @t184 () (tptp.multiply tptp.c @t179)) % 15.96/16.43 (define @t185 () (tptp.multiply @t26 tptp.a)) % 15.96/16.43 (define @t186 () (= @t185 @t184)) % 15.96/16.43 (define @t187 () (not @t186)) % 15.96/16.43 (define @t188 () (not @t71)) % 15.96/16.43 (define @t189 () (not @t188)) % 15.96/16.43 (define @t190 () (and @t188 @t78 @t69 @t66 @t64 @t186 @t155)) % 15.96/16.43 (define @t191 () (not @t21)) % 15.96/16.43 (define @t192 () (and @t21 @t138)) % 15.96/16.43 (define @t193 () (= tptp.identity @t41)) % 15.96/16.43 (define @t194 () (not @t193)) % 15.96/16.43 (define @t195 () (and @t141 @t138)) % 15.96/16.43 (define @t196 () (= tptp.a @t87)) % 15.96/16.43 (define @t197 () (tptp.multiply tptp.b @t33)) % 15.96/16.43 (define @t198 () (tptp.multiply @t85 @t30)) % 15.96/16.43 (define @t199 () (= @t198 @t197)) % 15.96/16.43 (define @t200 () (and @t78 @t138 @t66 @t110 @t155 @t196 @t199)) % 15.96/16.43 (define @t201 () (not @t199)) % 15.96/16.43 (define @t202 () (not @t196)) % 15.96/16.43 (define @t203 () (forall @t3 (= tptp.identity @t6))) % 15.96/16.43 (define @t204 () (tptp.multiply tptp.b @t30)) % 15.96/16.43 (define @t205 () (tptp.multiply tptp.c @t204)) % 15.96/16.43 (define @t206 () (tptp.multiply @t167 @t30)) % 15.96/16.43 (define @t207 () (= @t206 @t205)) % 15.96/16.43 (define @t208 () (not @t207)) % 15.96/16.43 (define @t209 () (= tptp.b @t87)) % 15.96/16.43 (define @t210 () (not @t209)) % 15.96/16.43 (define @t211 () (= tptp.a @t167)) % 15.96/16.43 (define @t212 () (not @t211)) % 15.96/16.43 (define @t213 () (= tptp.c @t167)) % 15.96/16.43 (define @t214 () (and @t78 @t138 @t69 @t66 @t64 @t213 @t110 @t155 @t209 @t199 @t207)) % 15.96/16.43 (define @t215 () (not @t213)) % 15.96/16.43 (define @t216 () (= tptp.identity @t167)) % 15.96/16.43 (define @t217 () (or (= @t167 tptp.a) (= @t167 tptp.b) (= @t167 tptp.c) @t216)) % 15.96/16.43 (define @t218 () (or @t211 @t168 @t213 @t216)) % 15.96/16.43 (define @t219 () (tptp.multiply @t149 tptp.a)) % 15.96/16.43 (define @t220 () (= @t219 (tptp.multiply tptp.identity @t30))) % 15.96/16.43 (define @t221 () (and @t78 @t138 @t69 @t150 @t66 @t64 @t110 @t186 @t155 @t209 @t199 @t216 @t207 @t220)) % 15.96/16.43 (define @t222 () (not @t220)) % 15.96/16.43 (define @t223 () (not @t216)) % 15.96/16.43 (define @t224 () (= tptp.c @t87)) % 15.96/16.43 (define @t225 () (and @t78 @t138 @t69 @t66 @t64 @t110 @t155 @t224 @t199)) % 15.96/16.43 (define @t226 () (not @t224)) % 15.96/16.43 (define @t227 () (= tptp.identity @t87)) % 15.96/16.43 (define @t228 () (or (= @t87 tptp.a) (= @t87 tptp.b) (= @t87 tptp.c) @t227)) % 15.96/16.43 (define @t229 () (or @t196 @t209 @t224 @t227)) % 15.96/16.43 (define @t230 () (tptp.multiply @t40 @t26)) % 15.96/16.43 (define @t231 () (tptp.multiply tptp.b @t230)) % 15.96/16.43 (define @t232 () (and @t78 @t138 @t69 @t66 @t64 @t88 @t110 @t155 @t227)) % 15.96/16.43 (define @t233 () (not @t227)) % 15.96/16.43 (define @t234 () (tptp.multiply tptp.c @t28)) % 15.96/16.43 (define @t235 () (tptp.multiply @t167 tptp.b)) % 15.96/16.43 (define @t236 () (= @t235 @t234)) % 15.96/16.43 (define @t237 () (and @t145 @t78 @t69 @t136 @t66 @t64 @t171 @t155 @t211 @t236)) % 15.96/16.43 (define @t238 () (not @t236)) % 15.96/16.43 (define @t239 () (and @t141 @t145 @t110)) % 15.96/16.43 (define @t240 () (tptp.multiply @t30 tptp.b)) % 15.96/16.43 (define @t241 () (tptp.multiply @t85 @t240)) % 15.96/16.43 (define @t242 () (tptp.multiply @t198 tptp.b)) % 15.96/16.43 (define @t243 () (= @t242 @t241)) % 15.96/16.43 (define @t244 () (and @t145 @t78 @t66 @t213 @t110 @t155 @t199 @t243)) % 15.96/16.43 (define @t245 () (not @t243)) % 15.96/16.43 (define @t246 () (@list tptp.c)) % 15.96/16.43 (define @t247 () (tptp.multiply tptp.identity tptp.b)) % 15.96/16.43 (define @t248 () (= tptp.b @t247)) % 15.96/16.43 (define @t249 () (not @t248)) % 15.96/16.43 (define @t250 () (tptp.multiply tptp.identity @t247)) % 15.96/16.43 (define @t251 () (tptp.multiply @t121 tptp.b)) % 15.96/16.43 (define @t252 () (= @t251 @t250)) % 15.96/16.43 (define @t253 () (not @t252)) % 15.96/16.43 (define @t254 () (tptp.multiply tptp.identity tptp.c)) % 15.96/16.43 (define @t255 () (= tptp.c @t254)) % 15.96/16.43 (define @t256 () (not @t255)) % 15.96/16.43 (define @t257 () (and @t255 @t96 @t93 @t155 @t134)) % 15.96/16.43 (define @t258 () (not @t147)) % 15.96/16.43 (define @t259 () (not @t25)) % 15.96/16.43 (define @t260 () (and @t25 @t147)) % 15.96/16.43 (define @t261 () (and @t125 @t147)) % 15.96/16.43 (define @t262 () (and @t194 @t193)) % 15.96/16.43 (define @t263 () (and @t147 @t78 @t96 @t69 @t150 @t136 @t66 @t64 @t110 @t133 @t199 @t207 @t220 @t236)) % 15.96/16.43 (define @t264 () (and @t147 @t78 @t105 @t69 @t150 @t136 @t66 @t177 @t64 @t133 @t199 @t207 @t220 @t236)) % 15.96/16.43 (define @t265 () (not @t177)) % 15.96/16.43 (define @t266 () (= tptp.b @t48)) % 15.96/16.43 (define @t267 () (tptp.multiply @t48 tptp.a)) % 15.96/16.43 (define @t268 () (tptp.multiply tptp.c @t267)) % 15.96/16.43 (define @t269 () (tptp.multiply @t49 tptp.a)) % 15.96/16.43 (define @t270 () (= @t269 @t268)) % 15.96/16.43 (define @t271 () (and @t147 @t266 @t78 @t69 @t136 @t66 @t64 @t88 @t110 @t270 @t133 @t236)) % 15.96/16.43 (define @t272 () (not @t270)) % 15.96/16.43 (define @t273 () (not @t266)) % 15.96/16.43 (define @t274 () (= tptp.c @t48)) % 15.96/16.43 (define @t275 () (not @t274)) % 15.96/16.43 (define @t276 () (not @t103)) % 15.96/16.43 (define @t277 () (and @t122 @t176 @t274 @t119 @t117 @t105 @t103)) % 15.96/16.43 (define @t278 () (or (= @t48 tptp.a) @t51 (= @t48 tptp.c) @t176)) % 15.96/16.43 (define @t279 () (or @t177 @t266 @t274 @t176)) % 15.96/16.43 (define @t280 () (and @t147 @t78 @t105 @t69 @t150 @t136 @t66 @t176 @t64 @t110 @t133 @t199 @t207 @t220 @t236)) % 15.96/16.43 (define @t281 () (not @t176)) % 15.96/16.43 (define @t282 () (= tptp.a @t26)) % 15.96/16.43 (define @t283 () (and @t78 @t69 @t66 @t64 @t155)) % 15.96/16.43 (define @t284 () (and @t147 @t78 @t93 @t69 @t66 @t64 @t100 @t155)) % 15.96/16.43 (define @t285 () (tptp.multiply @t41 @t26)) % 15.96/16.43 (define @t286 () (= @t285 @t231)) % 15.96/16.43 (define @t287 () (not @t286)) % 15.96/16.43 (define @t288 () (and @t122 @t227 @t209 @t141)) % 15.96/16.43 (define @t289 () (not @t92)) % 15.96/16.43 (define @t290 () (and @t147 @t92 @t119 @t105 @t117 @t136 @t155)) % 15.96/16.43 (define @t291 () (and @t147 @t78 @t69 @t66 @t64 @t171 @t155 @t211 @t236)) % 15.96/16.43 (define @t292 () (and @t147 @t78 @t66 @t213 @t110 @t155 @t199 @t243)) % 15.96/16.43 (define @t293 () (not @t282)) % 15.96/16.43 (define @t294 () (= tptp.b @t26)) % 15.96/16.43 (define @t295 () (and @t69 @t282 @t294 @t21)) % 15.96/16.43 (define @t296 () (and @t83 @t136 @t133)) % 15.96/16.43 (define @t297 () (and @t122 @t227 @t196 @t174)) % 15.96/16.43 (define @t298 () (and @t66 @t114)) % 15.96/16.43 (define @t299 () (= tptp.a @t57)) % 15.96/16.43 (define @t300 () (not @t299)) % 15.96/16.43 (define @t301 () (and @t122 @t119 @t117 @t299 @t174)) % 15.96/16.43 (define @t302 () (= tptp.c @t26)) % 15.96/16.43 (define @t303 () (tptp.multiply @t61 @t57)) % 15.96/16.43 (define @t304 () (= @t303 (tptp.multiply tptp.a (tptp.multiply @t59 @t57)))) % 15.96/16.43 (define @t305 () (tptp.multiply tptp.c @t57)) % 15.96/16.43 (define @t306 () (and @t302 @t122 @t119 @t117 @t69 @t136 @t66 @t186 @t155 @t304)) % 15.96/16.43 (define @t307 () (not @t302)) % 15.96/16.43 (define @t308 () (not @t79)) % 15.96/16.43 (define @t309 () (not @t23)) % 15.96/16.43 (define @t310 () (and @t274 @t177 @t23)) % 15.96/16.43 (define @t311 () (tptp.multiply @t26 tptp.c)) % 15.96/16.43 (define @t312 () (tptp.multiply tptp.c @t311)) % 15.96/16.43 (define @t313 () (tptp.multiply @t48 tptp.c)) % 15.96/16.43 (define @t314 () (= @t313 @t312)) % 15.96/16.43 (define @t315 () (tptp.multiply @t26 @t59)) % 15.96/16.43 (define @t316 () (and @t79 @t282 @t119 @t117 @t66 @t176 @t186 @t155 @t255 @t314)) % 15.96/16.43 (define @t317 () (not @t314)) % 15.96/16.43 (define @t318 () (and @t282 @t136 @t155)) % 15.96/16.43 (define @t319 () (and @t79 @t147 @t282 @t69 @t66 @t64 @t133)) % 15.96/16.43 (define @t320 () (not @t294)) % 15.96/16.43 (define @t321 () (and @t110 @t168 @t213 @t25)) % 15.96/16.43 (define @t322 () (= tptp.identity @t26)) % 15.96/16.43 (define @t323 () (not @t322)) % 15.96/16.43 (define @t324 () (and @t141 @t294)) % 15.96/16.43 (define @t325 () (and @t224 @t196 @t23)) % 15.96/16.43 (define @t326 () (and @t147 @t266 @t294 @t96 @t286)) % 15.96/16.43 (define @t327 () (not @t273)) % 15.96/16.43 (define @t328 () (and @t255 @t302 @t294 @t213 @t169)) % 15.96/16.43 (define @t329 () (and @t147 @t294 @t96 @t176 @t286 @t110)) % 15.96/16.43 (define @t330 () (and @t69 @t196 @t224 @t23)) % 15.96/16.43 (define @t331 () (and @t294 @t265)) % 15.96/16.43 (define @t332 () (and @t79 @t147 @t294 @t69 @t66 @t64 @t133)) % 15.96/16.43 (define @t333 () (and @t79 @t147 @t294 @t105 @t69 @t66 @t176 @t64 @t155)) % 15.96/16.43 (define @t334 () (or @t53 (= @t26 tptp.b) (= @t26 tptp.c) @t322)) % 15.96/16.43 (define @t335 () (or @t282 @t294 @t302 @t322)) % 15.96/16.43 (define @t336 () (and @t322 @t147 @t119 @t93 @t117 @t286 @t110)) % 15.96/16.43 (define @t337 () (and @t23 @t322 @t147 @t119 @t93 @t117 @t286 @t110)) % 15.96/16.43 (define @t338 () (tptp.multiply tptp.c @t305)) % 15.96/16.43 (define @t339 () (= @t180 @t338)) % 15.96/16.43 (define @t340 () (and @t322 @t122 @t119 @t117 @t150 @t136 @t274 @t270 @t155 @t339)) % 15.96/16.43 (define @t341 () (not @t339)) % 15.96/16.43 (define @t342 () (and @t322 @t79 @t147 @t119 @t93 @t117 @t69 @t66 @t64 @t286 @t110 @t133)) % 15.96/16.43 (define @t343 () (not @t293)) % 15.96/16.43 (define @t344 () (and @t122 @t227 @t196 @t119 @t117 @t322 @t293)) % 15.96/16.43 (define @t345 () (and @t322 @t147 @t266 @t119 @t96 @t117 @t286)) % 15.96/16.43 (define @t346 () (and @t79 @t147 @t69 @t66 @t274 @t64 @t133)) % 15.96/16.43 (define @t347 () (and @t322 @t79 @t147 @t119 @t96 @t117 @t176 @t286 @t110)) % 15.96/16.43 (define @t348 () (and @t141 @t105 @t110)) % 15.96/16.43 (define @t349 () (and @t322 @t79 @t122 @t119 @t105 @t117 @t150 @t177 @t171 @t110 @t270 @t252 @t248 @t339)) % 15.96/16.43 (define @t350 () (tptp.multiply tptp.c @t178)) % 15.96/16.43 (define @t351 () (= @t315 @t350)) % 15.96/16.43 (define @t352 () (and @t322 @t351 @t155 @t255)) % 15.96/16.43 (define @t353 () (not @t351)) % 15.96/16.43 (define @t354 () (and @t79 @t147 @t105 @t69 @t66 @t64 @t110 @t133)) % 15.96/16.43 (define @t355 () (and @t79 @t147 @t294 @t69 @t66 @t64 @t351 @t155)) % 15.96/16.43 (define @t356 () (and @t322 @t79 @t122 @t119 @t117 @t150 @t177 @t171 @t270 @t252 @t248 @t339)) % 15.96/16.43 (define @t357 () (and @t79 @t147 @t83 @t69 @t66 @t64 @t133)) % 15.96/16.43 (define @t358 () (and @t141 @t79 @t84)) % 15.96/16.43 (define @t359 () (and @t21 @t79 @t84)) % 15.96/16.43 (define @t360 () (and @t79 @t83 @t84 @t294 @t88)) % 15.96/16.43 (define @t361 () (and @t84 @t294 @t274 @t171)) % 15.96/16.43 (define @t362 () (and @t69 @t211 @t213 @t84 @t258)) % 15.96/16.43 (define @t363 () (and @t266 @t84 @t294 @t171)) % 15.96/16.43 (define @t364 () (and @t79 @t84 @t294 @t96 @t176 @t88 @t286 @t110)) % 15.96/16.43 (define @t365 () (and @t122 @t216 @t211 @t119 @t117 @t105 @t92)) % 15.96/16.43 (define @t366 () (and @t122 @t130 @t114 @t216 @t212)) % 15.96/16.43 (define @t367 () (tptp.inverse tptp.c)) % 15.96/16.43 (define @t368 () (tptp.multiply tptp.c @t367)) % 15.96/16.43 (define @t369 () (= tptp.identity @t368)) % 15.96/16.43 (define @t370 () (= tptp.a @t367)) % 15.96/16.43 (define @t371 () (and @t79 @t84 @t294 @t122 @t176 @t207 @t369 @t370 @t252 @t248)) % 15.96/16.43 (define @t372 () (not @t370)) % 15.96/16.43 (define @t373 () (not @t369)) % 15.96/16.43 (define @t374 () (and @t174 @t84 @t294 @t171)) % 15.96/16.43 (define @t375 () (= tptp.c @t367)) % 15.96/16.43 (define @t376 () (and @t79 @t84 @t294 @t369 @t375)) % 15.96/16.43 (define @t377 () (not @t375)) % 15.96/16.43 (define @t378 () (= tptp.identity @t367)) % 15.96/16.43 (define @t379 () (and @t84 @t294 @t176 @t171 @t369 @t378)) % 15.96/16.43 (define @t380 () (not @t378)) % 15.96/16.43 (define @t381 () (or (= @t367 tptp.a) (= @t367 tptp.b) (= @t367 tptp.c) @t378)) % 15.96/16.43 (define @t382 () (= tptp.b @t367)) % 15.96/16.43 (define @t383 () (or @t370 @t382 @t375 @t378)) % 15.96/16.43 (define @t384 () (tptp.multiply @t367 tptp.c)) % 15.96/16.43 (define @t385 () (= tptp.identity @t384)) % 15.96/16.43 (define @t386 () (tptp.multiply @t30 tptp.c)) % 15.96/16.43 (define @t387 () (tptp.multiply tptp.a @t386)) % 15.96/16.43 (define @t388 () (= (tptp.multiply @t33 tptp.c) @t387)) % 15.96/16.43 (define @t389 () (and @t79 @t84 @t69 @t66 @t133 @t255 @t385 @t382 @t388)) % 15.96/16.43 (define @t390 () (not @t382)) % 15.96/16.43 (define @t391 () (not @t385)) % 15.96/16.43 (define @t392 () (and @t79 @t84 @t294 @t69 @t66 @t64 @t171 @t155 @t385 @t382)) % 15.96/16.43 (define @t393 () (and @t155 @t114 @t23)) % 15.96/16.43 (define @t394 () (and @t79 @t84 @t96 @t69 @t66 @t64 @t88 @t155)) % 15.96/16.43 (define @t395 () (and @t141 @t79 @t84 @t88)) % 15.96/16.43 (define @t396 () (not @t127)) % 15.96/16.43 (define @t397 () (and @t119 @t105 @t103 @t117)) % 15.96/16.43 (define @t398 () (and @t92 @t119 @t105 @t117)) % 15.96/16.43 (define @t399 () (and @t122 @t130 @t114 @t119 @t117 @t105 @t92)) % 15.96/16.43 (define @t400 () (and @t302 @t119 @t117 @t369 @t375)) % 15.96/16.43 (define @t401 () (and @t255 @t385 @t378)) % 15.96/16.43 (define @t402 () (and @t122 @t378 @t370 @t119 @t117 @t105 @t92)) % 15.96/16.43 (define @t403 () (and @t79 @t84 @t119 @t117 @t213 @t207 @t369 @t370)) % 15.96/16.43 (define @t404 () (and @t79 @t84 @t122 @t133 @t216 @t207 @t369 @t370 @t252 @t248)) % 15.96/16.43 (define @t405 () (and @t302 @t119 @t117 @t136 @t171 @t155 @t211)) % 15.96/16.43 (define @t406 () (and @t79 @t84 @t119 @t117 @t136 @t168 @t155 @t207)) % 15.96/16.43 (define @t407 () (and @t79 @t84 @t119 @t117 @t136 @t213 @t155 @t207)) % 15.96/16.43 (define @t408 () (and @t79 @t84 @t122 @t136 @t88 @t155 @t216 @t207 @t252 @t248)) % 15.96/16.43 (define @t409 () (and @t322 @t307 @t119 @t117)) % 15.96/16.43 (define @t410 () (and @t322 @t79 @t84 @t122 @t66 @t351 @t133 @t211 @t207 @t252 @t248)) % 15.96/16.43 (define @t411 () (tptp.multiply @t179 @t30)) % 15.96/16.43 (define @t412 () (= @t411 (tptp.multiply tptp.c @t33))) % 15.96/16.43 (define @t413 () (and @t322 @t79 @t84 @t119 @t117 @t66 @t274 @t168 @t133 @t207 @t412)) % 15.96/16.43 (define @t414 () (and @t322 @t122 @t119 @t117 @t274 @t213 @t351 @t133 @t252 @t248 @t339)) % 15.96/16.43 (define @t415 () (and @t110 @t209 @t224 @t25)) % 15.96/16.43 (define @t416 () (and @t322 @t79 @t266 @t84 @t122 @t119 @t105 @t117 @t150 @t270 @t339)) % 15.96/16.43 (define @t417 () (and @t322 @t79 @t84 @t122 @t119 @t117 @t150 @t177 @t88 @t171 @t270 @t252 @t248 @t339)) % 15.96/16.43 (define @t418 () (and @t322 @t176 @t255 @t314)) % 15.96/16.43 (define @t419 () (and @t138 @t294 @t119 @t117 @t110 @t164 @t162)) % 15.96/16.43 (define @t420 () (and @t79 @t138 @t66 @t114)) % 15.96/16.43 (define @t421 () (and @t79 @t294 @t66 @t114)) % 15.96/16.43 (define @t422 () (= tptp.c @t33)) % 15.96/16.43 (define @t423 () (and @t145 @t79 @t294 @t119 @t117 @t69 @t136 @t66 @t64 @t100 @t110 @t186 @t351 @t155 @t207 @t255)) % 15.96/16.43 (define @t424 () (and @t145 @t79 @t66 @t110 @t114)) % 15.96/16.43 (define @t425 () (and @t282 @t84 @t177 @t186)) % 15.96/16.43 (define @t426 () (and @t211 @t168 @t21)) % 15.96/16.43 (define @t427 () (and @t282 @t84 @t274 @t186)) % 15.96/16.43 (define @t428 () (and @t282 @t176 @t369 @t375)) % 15.96/16.43 (define @t429 () (and @t79 @t282 @t119 @t117 @t176 @t186 @t133 @t369 @t378)) % 15.96/16.43 (define @t430 () (= tptp.identity @t34)) % 15.96/16.43 (define @t431 () (and @t422 @t66 @t155)) % 15.96/16.43 (define @t432 () (and @t122 @t378 @t370 @t174)) % 15.96/16.43 (define @t433 () (and @t369 @t382)) % 15.96/16.43 (define @t434 () (and @t174 @t211)) % 15.96/16.43 (define @t435 () (and @t141 @t168)) % 15.96/16.43 (define @t436 () (tptp.multiply @t384 @t57)) % 15.96/16.43 (define @t437 () (= @t436 (tptp.multiply @t367 @t305))) % 15.96/16.43 (define @t438 () (and @t302 @t122 @t119 @t117 @t69 @t168 @t385 @t370 @t164 @t162 @t437)) % 15.96/16.43 (define @t439 () (and @t125 @t213)) % 15.96/16.43 (define @t440 () (and @t71 @t122 @t69 @t66 @t64 @t133 @t252 @t248)) % 15.96/16.43 (define @t441 () (tptp.multiply @t167 @t41)) % 15.96/16.43 (define @t442 () (tptp.multiply @t235 @t40)) % 15.96/16.43 (define @t443 () (= @t442 @t441)) % 15.96/16.43 (define @t444 () (not @t443)) % 15.96/16.43 (define @t445 () (not @t95)) % 15.96/16.43 (define @t446 () (and @t255 @t302 @t294 @t96 @t95)) % 15.96/16.43 (define @t447 () (and @t141 @t147 @t294 @t105 @t110 @t236)) % 15.96/16.43 (define @t448 () (and @t147 @t294 @t105 @t110 @t369 @t375 @t236)) % 15.96/16.43 (define @t449 () (and @t174 @t294 @t177)) % 15.96/16.43 (define @t450 () (and @t125 @t147 @t294 @t177 @t171)) % 15.96/16.43 (define @t451 () (and @t147 @t369 @t370)) % 15.96/16.43 (define @t452 () (and @t71 @t147 @t294 @t119 @t117 @t177 @t171 @t270 @t369 @t378)) % 15.96/16.43 (define @t453 () (tptp.multiply @t85 tptp.a)) % 15.96/16.43 (define @t454 () (= @t453 @t204)) % 15.96/16.43 (define @t455 () (@list tptp.b tptp.a tptp.a)) % 15.96/16.43 (define @t456 () (= @t204 @t453)) % 15.96/16.43 (define @t457 () (and @t71 @t147 @t294 @t105 @t69 @t66 @t64 @t100 @t110 @t351 @t114 @t196 @t236 @t456)) % 15.96/16.43 (define @t458 () (not @t456)) % 15.96/16.43 (define @t459 () (and @t71 @t147 @t294 @t105 @t69 @t150 @t66 @t176 @t64 @t100 @t110 @t351 @t114 @t209 @t236 @t456)) % 15.96/16.43 (define @t460 () (tptp.multiply tptp.c @t185)) % 15.96/16.43 (define @t461 () (= @t267 @t460)) % 15.96/16.43 (define @t462 () (tptp.multiply @t235 tptp.a)) % 15.96/16.43 (define @t463 () (and @t71 @t147 @t294 @t105 @t69 @t150 @t66 @t176 @t64 @t100 @t110 @t351 @t114 @t224 @t236 @t461)) % 15.96/16.43 (define @t464 () (not @t461)) % 15.96/16.43 (define @t465 () (and @t71 @t147 @t294 @t119 @t105 @t117 @t69 @t150 @t66 @t176 @t64 @t171 @t100 @t110 @t351 @t114 @t227 @t236 @t461)) % 15.96/16.43 (define @t466 () (and @t71 @t122 @t105 @t69 @t66 @t64 @t133 @t252 @t248)) % 15.96/16.43 (define @t467 () (and @t71 @t105 @t69 @t66 @t64 @t155 @t255)) % 15.96/16.43 (define @t468 () (and @t147 @t122 @t216 @t252 @t248 @t236)) % 15.96/16.43 (define @t469 () (tptp.multiply tptp.b tptp.c)) % 15.96/16.43 (define @t470 () (tptp.multiply tptp.b @t469)) % 15.96/16.43 (define @t471 () (tptp.multiply @t28 tptp.c)) % 15.96/16.43 (define @t472 () (= @t471 @t470)) % 15.96/16.43 (define @t473 () (and @t322 @t147 @t119 @t93 @t117 @t472)) % 15.96/16.43 (define @t474 () (not @t472)) % 15.96/16.43 (define @t475 () (and @t322 @t147 @t119 @t96 @t117 @t472)) % 15.96/16.43 (define @t476 () (and @t71 @t322 @t147 @t122 @t105 @t110 @t207 @t236 @t443 @t472)) % 15.96/16.43 (define @t477 () (and @t147 @t93 @t472)) % 15.96/16.43 (define @t478 () (and @t147 @t96 @t472)) % 15.96/16.43 (define @t479 () (and @t147 @t194 @t472)) % 15.96/16.43 (define @t480 () (and @t71 @t147 @t294 @t119 @t117 @t177 @t171 @t186 @t236 @t461 @t472)) % 15.96/16.43 (define @t481 () (and @t71 @t147 @t83 @t69 @t150 @t176 @t110 @t199 @t236 @t456 @t461 @t472)) % 15.96/16.43 (define @t482 () (tptp.multiply tptp.b @t158)) % 15.96/16.43 (define @t483 () (= (tptp.multiply @t28 @t157) @t482)) % 15.96/16.43 (define @t484 () (not @t483)) % 15.96/16.43 (define @t485 () (and @t122 @t105 @t93 @t141)) % 15.96/16.43 (define @t486 () (and @t110 @t294 @t302 @t25)) % 15.96/16.43 (define @t487 () (and @t71 @t266 @t84 @t294 @t122 @t96 @t69 @t88 @t286 @t199 @t252 @t248)) % 15.96/16.43 (define @t488 () (and @t71 @t84 @t294 @t122 @t96 @t69 @t274 @t88 @t286 @t199 @t252 @t248)) % 15.96/16.43 (define @t489 () (and @t71 @t84 @t294 @t119 @t96 @t117 @t69 @t176 @t171 @t199)) % 15.96/16.43 (define @t490 () (and @t71 @t84 @t294 @t105 @t88 @t110)) % 15.96/16.43 (define @t491 () (and @t122 @t227 @t209 @t119 @t117 @t105 @t95)) % 15.96/16.43 (define @t492 () (and @t71 @t84 @t302 @t96 @t88 @t286 @t255)) % 15.96/16.43 (define @t493 () (and @t122 @t176 @t274 @t125)) % 15.96/16.43 (define @t494 () (and @t71 @t322 @t293 @t84 @t119 @t117)) % 15.96/16.43 (define @t495 () (and @t71 @t322 @t84 @t320 @t119 @t117)) % 15.96/16.43 (define @t496 () (and @t71 @t322 @t84 @t119 @t96 @t117 @t69 @t199)) % 15.96/16.43 (define @t497 () (and @t23 @t71 @t322 @t84 @t119 @t96 @t117 @t69 @t199)) % 15.96/16.43 (define @t498 () (and @t71 @t322 @t84 @t122 @t88 @t171 @t110 @t211 @t207 @t252 @t248 @t236 @t443)) % 15.96/16.43 (define @t499 () (and @t71 @t322 @t84 @t122 @t171 @t213 @t252 @t248)) % 15.96/16.43 (define @t500 () (and @t71 @t322 @t84 @t122 @t119 @t96 @t117 @t69 @t171 @t199 @t216 @t252 @t248)) % 15.96/16.43 (define @t501 () (and @t71 @t322 @t84 @t119 @t96 @t117 @t69 @t66 @t64 @t88 @t168 @t100 @t114 @t199 @t236)) % 15.96/16.43 (define @t502 () (and @t71 @t282 @t186)) % 15.96/16.43 (define @t503 () (and @t71 @t282 @t84 @t96 @t110 @t456)) % 15.96/16.43 (define @t504 () (and @t145 @t302 @t122 @t119 @t117 @t171 @t110 @t216 @t252 @t248 @t236)) % 15.96/16.43 (define @t505 () (@list false false)) % 15.96/16.43 (define @t506 () (and @t71 @t145 @t294 @t119 @t117 @t177 @t171 @t110 @t186 @t339 @t461)) % 15.96/16.43 (define @t507 () (and @t122 @t176 @t266 @t119 @t117 @t145 @t139)) % 15.96/16.43 (define @t508 () (and @t145 @t294 @t274 @t171)) % 15.96/16.43 (define @t509 () (and @t145 @t294 @t122 @t119 @t117 @t176 @t171 @t252 @t248 @t236)) % 15.96/16.43 (define @t510 () (@list true true true false)) % 15.96/16.43 (define @t511 () (and @t71 @t282 @t119 @t117 @t177 @t186)) % 15.96/16.43 (define @t512 () (@list false false false true false false)) % 15.96/16.43 (define @t513 () (@list @t71 @t282 @t119 @t299 @t117 @t186)) % 15.96/16.43 (define @t514 () (and @t71 @t282 @t119 @t117 @t274 @t186)) % 15.96/16.43 (define @t515 () (and @t71 @t282 @t119 @t117 @t150 @t176 @t186 @t461)) % 15.96/16.43 (assume @p1 @t4) % 15.96/16.43 (assume @p2 @t7) % 15.96/16.43 (assume @p3 @t10) % 15.96/16.43 (assume @p4 @t12) % 15.96/16.43 (assume @p5 @t14) % 15.96/16.43 (assume @p6 @t19) % 15.96/16.43 (assume @p7 @t21) % 15.96/16.43 (assume @p8 @t23) % 15.96/16.43 (assume @p9 (not (= tptp.a tptp.identity))) % 15.96/16.43 (assume @p10 @t25) % 15.96/16.43 (assume @p11 (not (= tptp.b tptp.identity))) % 15.96/16.43 (assume @p12 (not (= tptp.c tptp.identity))) % 15.96/16.43 (assume @p13 @t32) % 15.96/16.43 (assume @p14 @t39) % 15.96/16.43 (assume @p15 @t47) % 15.96/16.43 (assume @p16 @t55) % 15.96/16.43 (step @p17 :rule eq-symm :args (@t13 tptp.identity)) % 15.96/16.43 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 15.96/16.43 (step @p19 :rule eq_resolve :premises (@p5 @p18)) % 15.96/16.43 (step @p20 :rule instantiate :premises (@p19) :args (@t56)) % 15.96/16.43 (step @p21 :rule eq-symm :args (@t2 @t1)) % 15.96/16.43 (step @p22 :rule cong :premises (@p21) :args (@t4)) % 15.96/16.43 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 15.96/16.43 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t57))) % 15.96/16.43 (step @p25 :rule instantiate :premises (@p23) :args (@t58)) % 15.96/16.43 (step @p26 :rule instantiate :premises (@p3) :args ((@list tptp.c tptp.c tptp.a))) % 15.96/16.43 (assume-push @p10994 @t10) % 15.96/16.43 (step @p28 :rule instantiate :premises (@p3) :args (@t60)) % 15.96/16.43 (step-pop @p10995 :rule scope :premises (@p28)) % 15.96/16.43 (step @p29 :rule process_scope :premises (@p10995) :args (@t64)) % 15.96/16.43 (step @p31 :rule implies_elim :premises (@p29)) % 15.96/16.43 (assume-push @p10996 @t65) % 15.96/16.43 (step @p33 :rule instantiate :premises (@p19) :args (@t58)) % 15.96/16.43 (step-pop @p10997 :rule scope :premises (@p33)) % 15.96/16.43 (step @p34 :rule process_scope :premises (@p10997) :args (@t66)) % 15.96/16.43 (step @p36 :rule implies_elim :premises (@p34)) % 15.96/16.43 (step @p37 :rule eq-symm :args (@t11 @t1)) % 15.96/16.43 (step @p38 :rule cong :premises (@p37) :args (@t12)) % 15.96/16.43 (step @p39 :rule eq_resolve :premises (@p4 @p38)) % 15.96/16.43 (assume-push @p10998 @t67) % 15.96/16.43 (step @p41 :rule instantiate :premises (@p39) :args (@t58)) % 15.96/16.43 (step-pop @p10999 :rule scope :premises (@p41)) % 15.96/16.43 (step @p42 :rule process_scope :premises (@p10999) :args (@t69)) % 15.96/16.43 (step @p44 :rule implies_elim :premises (@p42)) % 15.96/16.43 (assume-push @p11000 @t70) % 15.96/16.43 (assume-push @p11001 @t69) % 15.96/16.43 (assume-push @p11002 @t66) % 15.96/16.43 (assume-push @p11003 @t64) % 15.96/16.43 (assume-push @p11004 @t70) % 15.96/16.43 (assume-push @p11005 @t69) % 15.96/16.43 (assume-push @p11006 @t66) % 15.96/16.43 (assume-push @p11007 @t64) % 15.96/16.43 (step @p41 :rule instantiate :premises (@p39) :args (@t58)) % 15.96/16.43 (step @p53 :rule symm :premises (@p41)) % 15.96/16.43 (step @p33 :rule instantiate :premises (@p19) :args (@t58)) % 15.96/16.43 (step @p54 :rule symm :premises (@p33)) % 15.96/16.43 (step @p55 :rule refl :args (tptp.a)) % 15.96/16.43 (step @p56 :rule cong :premises (@p55 @p54) :args (@t62)) % 15.96/16.43 (step @p28 :rule instantiate :premises (@p3) :args (@t60)) % 15.96/16.43 (step @p57 :rule refl :args (@t59)) % 15.96/16.43 (step @p58 :rule cong :premises (@p11000 @p57) :args (@t61)) % 15.96/16.43 (step @p59 :rule trans :premises (@p33 @p58 @p28 @p56 @p53 @p11000)) % 15.96/16.43 (step-pop @p11008 :rule scope :premises (@p59)) % 15.96/16.43 (step-pop @p11009 :rule scope :premises (@p11008)) % 15.96/16.43 (step-pop @p11010 :rule scope :premises (@p11009)) % 15.96/16.43 (step-pop @p11011 :rule scope :premises (@p11010)) % 15.96/16.43 (step @p60 :rule process_scope :premises (@p11011) :args (@t71)) % 15.96/16.43 (step @p28 :rule instantiate :premises (@p3) :args (@t60)) % 15.96/16.43 (step @p33 :rule instantiate :premises (@p19) :args (@t58)) % 15.96/16.43 (step @p41 :rule instantiate :premises (@p39) :args (@t58)) % 15.96/16.43 (step @p65 :rule and_intro :premises (@p11000 @p41 @p33 @p28)) % 15.96/16.43 (step @p66 :rule modus_ponens :premises (@p65 @p60)) % 15.96/16.43 (step-pop @p11012 :rule scope :premises (@p66)) % 15.96/16.43 (step-pop @p11013 :rule scope :premises (@p11012)) % 15.96/16.43 (step-pop @p11014 :rule scope :premises (@p11013)) % 15.96/16.43 (step-pop @p11015 :rule scope :premises (@p11014)) % 15.96/16.43 (step @p67 :rule process_scope :premises (@p11015) :args (@t71)) % 15.96/16.43 (step @p72 :rule implies_elim :premises (@p67)) % 15.96/16.43 (step @p73 :rule cnf_and_neg :args (@t72)) % 15.96/16.43 (step @p74 :rule resolution :premises (@p73 @p72) :args (true @t72)) % 15.96/16.43 (step @p75 :rule reordering :premises (@p74) :args ((or @t71 (not @t70) @t75 @t74 @t73))) % 15.96/16.43 (step @p76 :rule eq-symm :args (@t1 tptp.identity)) % 15.96/16.43 (step @p77 :rule refl :args (@t15)) % 15.96/16.43 (step @p78 :rule refl :args (@t16)) % 15.96/16.43 (step @p79 :rule refl :args (@t17)) % 15.96/16.43 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76) :args (@t18)) % 15.96/16.43 (step @p81 :rule cong :premises (@p80) :args (@t19)) % 15.96/16.43 (step @p82 :rule eq_resolve :premises (@p6 @p81)) % 15.96/16.43 (step @p83 :rule refl :args (@t71)) % 15.96/16.43 (step @p84 :rule eq-symm :args (@t30 tptp.c)) % 15.96/16.43 (step @p85 :rule eq-symm :args (@t30 tptp.b)) % 15.96/16.43 (step @p86 :rule eq-symm :args (@t30 tptp.a)) % 15.96/16.43 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83) :args (@t76)) % 15.96/16.43 (step @p88 :rule refl :args (@t77)) % 15.96/16.43 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t77 @t76))) % 15.96/16.43 (assume-push @p11016 @t77) % 15.96/16.43 (step @p91 :rule instantiate :premises (@p82) :args ((@list @t30))) % 15.96/16.43 (step-pop @p11017 :rule scope :premises (@p91)) % 15.96/16.43 (step @p92 :rule process_scope :premises (@p11017) :args (@t76)) % 15.96/16.43 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 15.96/16.43 (step @p95 :rule implies_elim :premises (@p94)) % 15.96/16.43 (step @p96 :rule chain_m_resolution :premises (@p95 @p82) :args (@t80 @t81 @t82)) % 15.96/16.43 (step @p97 :rule cnf_or_pos :args (@t80)) % 15.96/16.43 (step @p98 :rule reordering :premises (@p97) :args ((or @t71 @t79 @t70 @t78 (not @t80)))) % 15.96/16.43 (step @p99 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.b tptp.a))) % 15.96/16.43 (assume-push @p11018 @t83) % 15.96/16.43 (assume-push @p11019 @t84) % 15.96/16.43 (assume-push @p11020 @t88) % 15.96/16.43 (assume-push @p11021 @t84) % 15.96/16.43 (assume-push @p11022 @t88) % 15.96/16.43 (assume-push @p11023 @t83) % 15.96/16.43 (step @p55 :rule refl :args (tptp.a)) % 15.96/16.43 (step @p106 :rule symm :premises (@p11019)) % 15.96/16.43 (step @p107 :rule cong :premises (@p106 @p55) :args (@t87)) % 15.96/16.43 (step @p108 :rule symm :premises (@p99)) % 15.96/16.43 (step @p109 :rule refl :args (tptp.b)) % 15.96/16.43 (step @p110 :rule cong :premises (@p109 @p106) :args (@t40)) % 15.96/16.43 (step @p111 :rule cong :premises (@p109 @p110) :args (@t41)) % 15.96/16.43 (step @p112 :rule cong :premises (@p109 @p11018) :args (@t85)) % 15.96/16.43 (step @p113 :rule trans :premises (@p11018 @p110 @p112 @p111 @p108 @p107)) % 15.96/16.43 (step-pop @p11024 :rule scope :premises (@p113)) % 15.96/16.43 (step-pop @p11025 :rule scope :premises (@p11024)) % 15.96/16.43 (step-pop @p11026 :rule scope :premises (@p11025)) % 15.96/16.43 (step @p114 :rule process_scope :premises (@p11026) :args (@t70)) % 15.96/16.43 (step @p118 :rule and_intro :premises (@p11019 @p99 @p11018)) % 15.96/16.43 (step @p119 :rule modus_ponens :premises (@p118 @p114)) % 15.96/16.43 (step-pop @p11027 :rule scope :premises (@p119)) % 15.96/16.43 (step-pop @p11028 :rule scope :premises (@p11027)) % 15.96/16.43 (step-pop @p11029 :rule scope :premises (@p11028)) % 15.96/16.43 (step @p120 :rule process_scope :premises (@p11029) :args (@t70)) % 15.96/16.43 (step @p124 :rule implies_elim :premises (@p120)) % 15.96/16.43 (step @p125 :rule cnf_and_neg :args (@t89)) % 15.96/16.43 (step @p126 :rule resolution :premises (@p125 @p124) :args (true @t89)) % 15.96/16.43 (step @p127 :rule reordering :premises (@p126) :args ((or @t92 @t70 @t91 @t90))) % 15.96/16.43 (assume-push @p11030 @t84) % 15.96/16.43 (assume-push @p11031 @t93) % 15.96/16.43 (assume-push @p11032 @t88) % 15.96/16.43 (assume-push @p11033 @t84) % 15.96/16.43 (assume-push @p11034 @t88) % 15.96/16.43 (assume-push @p11035 @t93) % 15.96/16.43 (step @p55 :rule refl :args (tptp.a)) % 15.96/16.43 (step @p134 :rule symm :premises (@p11030)) % 15.96/16.43 (step @p135 :rule cong :premises (@p134 @p55) :args (@t87)) % 15.96/16.43 (step @p108 :rule symm :premises (@p99)) % 15.96/16.43 (step @p109 :rule refl :args (tptp.b)) % 15.96/16.43 (step @p136 :rule cong :premises (@p109 @p134) :args (@t40)) % 15.96/16.43 (step @p137 :rule cong :premises (@p109 @p136) :args (@t41)) % 15.96/16.43 (step @p138 :rule cong :premises (@p109 @p11031) :args (@t28)) % 15.96/16.43 (step @p139 :rule trans :premises (@p11030 @p138 @p137 @p108 @p135)) % 15.96/16.43 (step-pop @p11036 :rule scope :premises (@p139)) % 15.96/16.43 (step-pop @p11037 :rule scope :premises (@p11036)) % 15.96/16.43 (step-pop @p11038 :rule scope :premises (@p11037)) % 15.96/16.43 (step @p140 :rule process_scope :premises (@p11038) :args (@t70)) % 15.96/16.43 (step @p144 :rule and_intro :premises (@p11030 @p99 @p11031)) % 15.96/16.43 (step @p145 :rule modus_ponens :premises (@p144 @p140)) % 15.96/16.43 (step-pop @p11039 :rule scope :premises (@p145)) % 15.96/16.43 (step-pop @p11040 :rule scope :premises (@p11039)) % 15.96/16.43 (step-pop @p11041 :rule scope :premises (@p11040)) % 15.96/16.43 (step @p146 :rule process_scope :premises (@p11041) :args (@t70)) % 15.96/16.43 (step @p150 :rule implies_elim :premises (@p146)) % 15.96/16.43 (step @p151 :rule cnf_and_neg :args (@t94)) % 15.96/16.43 (step @p152 :rule resolution :premises (@p151 @p150) :args (true @t94)) % 15.96/16.43 (step @p153 :rule reordering :premises (@p152) :args ((or @t70 @t91 @t95 @t90))) % 15.96/16.43 (step @p41 :rule instantiate :premises (@p39) :args (@t58)) % 15.96/16.43 (step @p33 :rule instantiate :premises (@p19) :args (@t58)) % 15.96/16.43 (step @p28 :rule instantiate :premises (@p3) :args (@t60)) % 15.96/16.43 (step @p154 :rule instantiate :premises (@p3) :args ((@list tptp.b @t40 @t59))) % 15.96/16.43 (assume-push @p11042 @t78) % 15.96/16.43 (assume-push @p11043 @t84) % 15.96/16.43 (assume-push @p11044 @t96) % 15.96/16.43 (assume-push @p11045 @t69) % 15.96/16.43 (assume-push @p11046 @t66) % 15.96/16.43 (assume-push @p11047 @t64) % 15.96/16.43 (assume-push @p11048 @t88) % 15.96/16.43 (assume-push @p11049 @t100) % 15.96/16.43 (assume-push @p11050 @t84) % 15.96/16.43 (assume-push @p11051 @t69) % 15.96/16.43 (assume-push @p11052 @t66) % 15.96/16.43 (assume-push @p11053 @t64) % 15.96/16.43 (assume-push @p11054 @t78) % 15.96/16.43 (assume-push @p11055 @t96) % 15.96/16.43 (assume-push @p11056 @t100) % 15.96/16.43 (assume-push @p11057 @t88) % 15.96/16.43 (step @p109 :rule refl :args (tptp.b)) % 15.96/16.43 (step @p171 :rule cong :premises (@p109 @p11043) :args (@t85)) % 15.96/16.43 (step @p53 :rule symm :premises (@p41)) % 15.96/16.43 (step @p54 :rule symm :premises (@p33)) % 15.96/16.43 (step @p55 :rule refl :args (tptp.a)) % 15.96/16.43 (step @p56 :rule cong :premises (@p55 @p54) :args (@t62)) % 15.96/16.43 (step @p57 :rule refl :args (@t59)) % 15.96/16.43 (step @p172 :rule symm :premises (@p11044)) % 15.96/16.43 (step @p173 :rule trans :premises (@p172 @p11042)) % 15.96/16.43 (step @p174 :rule cong :premises (@p173 @p57) :args (@t97)) % 15.96/16.43 (step @p175 :rule trans :premises (@p174 @p28 @p56 @p53)) % 15.96/16.43 (step @p176 :rule cong :premises (@p109 @p175) :args (@t98)) % 15.96/16.43 (step @p177 :rule cong :premises (@p109 @p171) :args (@t86)) % 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15.96/16.44 (assume-push @p12111 @t150) % 15.96/16.44 (assume-push @p12112 @t220) % 15.96/16.44 (assume-push @p12113 @t136) % 15.96/16.44 (assume-push @p12114 @t133) % 15.96/16.44 (assume-push @p12115 @t199) % 15.96/16.44 (assume-push @p12116 @t69) % 15.96/16.44 (assume-push @p12117 @t66) % 15.96/16.44 (assume-push @p12118 @t64) % 15.96/16.44 (assume-push @p12119 @t207) % 15.96/16.44 (assume-push @p12120 @t105) % 15.96/16.44 (assume-push @p12121 @t236) % 15.96/16.44 (assume-push @p12122 @t176) % 15.96/16.44 (assume-push @p12123 @t110) % 15.96/16.44 (step @p2120 :rule symm :premises (@p12095)) % 15.96/16.44 (step @p55 :rule refl :args (tptp.a)) % 15.96/16.44 (step @p1058 :rule symm :premises (@p25)) % 15.96/16.44 (step @p1059 :rule cong :premises (@p1058 @p55) :args (@t219)) % 15.96/16.44 (step @p1060 :rule symm :premises (@p1021)) % 15.96/16.44 (step @p779 :rule refl :args (@t30)) % 15.96/16.44 (step @p405 :rule symm :premises (@p362)) % 15.96/16.44 (step @p2121 :rule cong :premises 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15.96/16.45 (assume-push @p12916 @t69) % 15.96/16.45 (assume-push @p12917 @t66) % 15.96/16.45 (assume-push @p12918 @t176) % 15.96/16.45 (assume-push @p12919 @t64) % 15.96/16.45 (assume-push @p12920 @t155) % 15.96/16.45 (assume-push @p12921 @t294) % 15.96/16.45 (assume-push @p12922 @t176) % 15.96/16.45 (assume-push @p12923 @t105) % 15.96/16.45 (assume-push @p12924 @t147) % 15.96/16.45 (assume-push @p12925 @t155) % 15.96/16.45 (assume-push @p12926 @t79) % 15.96/16.45 (assume-push @p12927 @t64) % 15.96/16.45 (assume-push @p12928 @t66) % 15.96/16.45 (assume-push @p12929 @t69) % 15.96/16.45 (step @p3615 :rule symm :premises (@p12914)) % 15.96/16.45 (step @p565 :rule refl :args (tptp.c)) % 15.96/16.45 (step @p3616 :rule cong :premises (@p565 @p3615) :args (@t48)) % 15.96/16.45 (step @p3617 :rule symm :premises (@p12915)) % 15.96/16.45 (step @p3618 :rule symm :premises (@p12920)) % 15.96/16.45 (step @p3619 :rule trans :premises (@p3618 @p12913)) % 15.96/16.45 (step @p3620 :rule cong :premises 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15.96/16.45 (step-pop @p12946 :rule scope :premises (@p12945)) % 15.96/16.45 (step-pop @p12947 :rule scope :premises (@p12946)) % 15.96/16.45 (step @p3637 :rule process_scope :premises (@p12947) :args (@t211)) % 15.96/16.45 (step @p3647 :rule implies_elim :premises (@p3637)) % 15.96/16.45 (step @p3648 :rule cnf_and_neg :args (@t333)) % 15.96/16.45 (step @p3649 :rule resolution :premises (@p3648 @p3647) :args (true @t333)) % 15.96/16.45 (step @p3650 :rule chain_m_resolution :premises (@p3649 @p28 @p33 @p41 @p2795 @p3596 @p28 @p33 @p41 @p8 @p2089 @p2087 @p3346 @p1401 @p508 @p224 @p222 @p3552 @p3529 @p225 @p508 @p10 @p3474 @p1870 @p508 @p41 @p8 @p3395 @p3093 @p225 @p508 @p2267 @p10) :args ((or @t308 @t258 @t83 @t320 @t114) (@list false false false false true false false false true false false true false false false false true true false false true true false false false true true true false false false true) (@list @t64 @t66 @t69 @t155 @t133 @t64 @t66 @t69 @t22 @t176 @t279 @t274 @t255 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15.96/16.45 (step @p6065 :rule chain_m_resolution :premises (@p6064 @p1403 @p1402 @p5047 @p824 @p258 @p1020 @p1018 @p6006 @p5047 @p824 @p24 @p20 @p5957 @p5047 @p824 @p24 @p20 @p258 @p5231 @p5229 @p5874 @p824 @p508 @p33 @p24 @p20 @p258 @p5289 @p5233 @p5232 @p1401 @p33 @p41 @p5794 @p5772 @p5768 @p361 @p5764 @p5734 @p5612 @p345 @p5730 @p357 @p353 @p349 @p23 @p44 @p39 @p36 @p19 @p31 @p224 @p221 @p82 @p4633 @p5580 @p4610 @p3 @p4606 @p7 @p5522) :args ((or @t308 @t147 @t91 @t307 @t134) (@list false false false false false false false true false false false false true false false false false false false false true false false false false false false true false false false false false true false false false true false true true true false false false false false false false false false false false false true true false false true true true) (@list @t248 @t252 @t369 @t207 @t122 @t216 @t218 @t213 @t369 @t207 @t117 @t119 @t168 @t369 @t207 @t117 @t119 @t122 @t370 @t383 @t211 @t207 @t171 @t66 @t117 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15.96/16.46 (step-pop @p15166 :rule scope :premises (@p5746)) % 15.96/16.46 (step-pop @p15167 :rule scope :premises (@p15166)) % 15.96/16.46 (step-pop @p15168 :rule scope :premises (@p15167)) % 15.96/16.46 (step-pop @p15169 :rule scope :premises (@p15168)) % 15.96/16.46 (step-pop @p15170 :rule scope :premises (@p15169)) % 15.96/16.46 (step @p7424 :rule process_scope :premises (@p15170) :args (@t127)) % 15.96/16.46 (step @p7430 :rule and_intro :premises (@p24 @p20 @p5047 @p15160 @p15155)) % 15.96/16.46 (step @p7431 :rule modus_ponens :premises (@p7430 @p7424)) % 15.96/16.46 (step @p7432 :rule and_intro :premises (@p258 @p20 @p24 @p7431 @p257)) % 15.96/16.46 (step-pop @p15171 :rule scope :premises (@p7432)) % 15.96/16.46 (step-pop @p15172 :rule scope :premises (@p15171)) % 15.96/16.46 (step-pop @p15173 :rule scope :premises (@p15172)) % 15.96/16.46 (step-pop @p15174 :rule scope :premises (@p15173)) % 15.96/16.46 (step-pop @p15175 :rule scope :premises (@p15174)) % 15.96/16.46 (step-pop 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15.96/16.46 (step @p7509 :rule process_scope :premises (@p15215) :args (@t216)) % 15.96/16.46 (step @p7512 :rule and_intro :premises (@p15211 @p5047)) % 15.96/16.46 (step @p7513 :rule modus_ponens :premises (@p7512 @p7509)) % 15.96/16.46 (step-pop @p15216 :rule scope :premises (@p7513)) % 15.96/16.46 (step-pop @p15217 :rule scope :premises (@p15216)) % 15.96/16.46 (step @p7514 :rule process_scope :premises (@p15217) :args (@t216)) % 15.96/16.46 (step @p7517 :rule implies_elim :premises (@p7514)) % 15.96/16.46 (step @p7518 :rule cnf_and_neg :args (@t433)) % 15.96/16.46 (step @p7519 :rule resolution :premises (@p7518 @p7517) :args (true @t433)) % 15.96/16.46 (step @p7520 :rule reordering :premises (@p7519) :args ((or @t216 @t373 @t390))) % 15.96/16.46 (step @p7521 :rule nary_cong :premises (@p518 @p828 @p1408) :args ((or @t175 @t212 @t223))) % 15.96/16.46 (assume-push @p15218 @t174) % 15.96/16.46 (assume-push @p15219 @t211) % 15.96/16.46 (assume-push @p15220 @t174) % 15.96/16.46 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@p15228 @t141) % 15.96/16.46 (assume-push @p15229 @t168) % 15.96/16.46 (step @p379 :rule false_intro :premises (@p358)) % 15.96/16.46 (step @p7548 :rule symm :premises (@p15227)) % 15.96/16.46 (step @p671 :rule refl :args (tptp.identity)) % 15.96/16.46 (step @p7549 :rule cong :premises (@p671 @p7548) :args (@t216)) % 15.96/16.46 (step @p7550 :rule trans :premises (@p7549 @p379)) % 15.96/16.46 (step @p7551 :rule false_elim :premises (@p7550)) % 15.96/16.46 (step-pop @p15230 :rule scope :premises (@p7551)) % 15.96/16.46 (step-pop @p15231 :rule scope :premises (@p15230)) % 15.96/16.46 (step @p7552 :rule process_scope :premises (@p15231) :args (@t223)) % 15.96/16.46 (step @p7555 :rule and_intro :premises (@p358 @p15227)) % 15.96/16.46 (step @p7556 :rule modus_ponens :premises (@p7555 @p7552)) % 15.96/16.46 (step-pop @p15232 :rule scope :premises (@p7556)) % 15.96/16.46 (step-pop @p15233 :rule scope :premises (@p15232)) % 15.96/16.46 (step @p7557 :rule process_scope :premises (@p15233) 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(assume-push @p15248 @t385) % 15.96/16.46 (assume-push @p15249 @t437) % 15.96/16.46 (assume-push @p15250 @t370) % 15.96/16.46 (assume-push @p15251 @t302) % 15.96/16.46 (assume-push @p15252 @t164) % 15.96/16.46 (assume-push @p15253 @t162) % 15.96/16.46 (assume-push @p15254 @t168) % 15.96/16.46 (assume-push @p15255 @t69) % 15.96/16.46 (step @p300 :rule symm :premises (@p24)) % 15.96/16.46 (step @p1472 :rule symm :premises (@p258)) % 15.96/16.46 (step @p273 :rule symm :premises (@p20)) % 15.96/16.46 (step @p2754 :rule trans :premises (@p24 @p273)) % 15.96/16.46 (step @p5252 :rule symm :premises (@p5232)) % 15.96/16.46 (step @p7587 :rule cong :premises (@p5252 @p2754) :args (@t436)) % 15.96/16.46 (step @p7588 :rule symm :premises (@p7564)) % 15.96/16.46 (step @p2757 :rule refl :args (@t57)) % 15.96/16.46 (step @p7589 :rule symm :premises (@p15234)) % 15.96/16.46 (step @p7590 :rule cong :premises (@p7589 @p2757) :args (@t180)) % 15.96/16.46 (step @p572 :rule symm :premises (@p509)) % 15.96/16.46 (step @p6826 :rule trans :premises (@p572 @p20 @p300)) % 15.96/16.46 (step @p580 :rule refl :args (@t26)) % 15.96/16.46 (step @p6827 :rule cong :premises (@p580 @p6826) :args (@t159)) % 15.96/16.46 (step @p573 :rule refl :args (@t157)) % 15.96/16.46 (step @p109 :rule refl :args (tptp.b)) % 15.96/16.46 (step @p7591 :rule cong :premises (@p15234 @p109) :args (@t167)) % 15.96/16.46 (step @p7592 :rule trans :premises (@p15239 @p7591)) % 15.96/16.46 (step @p7593 :rule cong :premises (@p7592 @p573) :args (@t158)) % 15.96/16.46 (step @p7594 :rule trans :premises (@p509 @p7593 @p510 @p6827 @p7590)) % 15.96/16.46 (step @p7595 :rule cong :premises (@p15241 @p7594) :args (@t68)) % 15.96/16.46 (step @p7596 :rule trans :premises (@p41 @p7595 @p7588 @p7587 @p1472 @p20 @p300)) % 15.96/16.46 (step-pop @p15256 :rule scope :premises (@p7596)) % 15.96/16.46 (step-pop @p15257 :rule scope :premises (@p15256)) % 15.96/16.46 (step-pop @p15258 :rule scope :premises (@p15257)) % 15.96/16.46 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(step-pop @p15270 :rule scope :premises (@p15269)) % 15.96/16.46 (step-pop @p15271 :rule scope :premises (@p15270)) % 15.96/16.46 (step-pop @p15272 :rule scope :premises (@p15271)) % 15.96/16.46 (step-pop @p15273 :rule scope :premises (@p15272)) % 15.96/16.46 (step-pop @p15274 :rule scope :premises (@p15273)) % 15.96/16.46 (step-pop @p15275 :rule scope :premises (@p15274)) % 15.96/16.46 (step-pop @p15276 :rule scope :premises (@p15275)) % 15.96/16.46 (step-pop @p15277 :rule scope :premises (@p15276)) % 15.96/16.46 (step @p7611 :rule process_scope :premises (@p15277) :args (@t299)) % 15.96/16.46 (step @p7623 :rule implies_elim :premises (@p7611)) % 15.96/16.46 (step @p7624 :rule cnf_and_neg :args (@t438)) % 15.96/16.46 (step @p7625 :rule resolution :premises (@p7624 @p7623) :args (true @t438)) % 15.96/16.46 (step @p7626 :rule reordering :premises (@p7625) :args ((or @t307 @t123 @t120 @t299 @t118 @t75 @t169 @t391 @t372 @t165 @t163 (not @t437)))) % 15.96/16.46 (step @p7627 :rule 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@p10914 :rule cong :premises (@p565 @p10912) :args (@t48)) % 15.96/16.47 (step @p10915 :rule trans :premises (@p17170 @p10914)) % 15.96/16.47 (step @p10916 :rule cong :premises (@p565 @p10915) :args (@t26)) % 15.96/16.47 (step @p10917 :rule trans :premises (@p17167 @p10916 @p667 @p10913 @p10911 @p20 @p300)) % 15.96/16.47 (step-pop @p17178 :rule scope :premises (@p10917)) % 15.96/16.47 (step-pop @p17179 :rule scope :premises (@p17178)) % 15.96/16.47 (step-pop @p17180 :rule scope :premises (@p17179)) % 15.96/16.47 (step-pop @p17181 :rule scope :premises (@p17180)) % 15.96/16.47 (step-pop @p17182 :rule scope :premises (@p17181)) % 15.96/16.47 (step-pop @p17183 :rule scope :premises (@p17182)) % 15.96/16.47 (step @p10918 :rule process_scope :premises (@p17183) :args (@t299)) % 15.96/16.47 (step @p10925 :rule and_intro :premises (@p24 @p20 @p17166 @p17167 @p26 @p17170)) % 15.96/16.47 (step @p10926 :rule modus_ponens :premises (@p10925 @p10918)) % 15.96/16.47 (step-pop @p17184 :rule scope :premises (@p10926)) % 15.96/16.47 (step-pop @p17185 :rule scope :premises (@p17184)) % 15.96/16.47 (step-pop @p17186 :rule scope :premises (@p17185)) % 15.96/16.47 (step-pop @p17187 :rule scope :premises (@p17186)) % 15.96/16.47 (step-pop @p17188 :rule scope :premises (@p17187)) % 15.96/16.47 (step-pop @p17189 :rule scope :premises (@p17188)) % 15.96/16.47 (step @p10927 :rule process_scope :premises (@p17189) :args (@t299)) % 15.96/16.47 (step @p10934 :rule implies_elim :premises (@p10927)) % 15.96/16.47 (step @p10935 :rule cnf_and_neg :args (@t514)) % 15.96/16.47 (step @p10936 :rule resolution :premises (@p10935 @p10934) :args (true @t514)) % 15.96/16.47 (step @p10937 :rule reordering :premises (@p10936) :args ((or @t188 @t293 @t120 @t299 @t118 @t275 @t187))) % 15.96/16.47 (step @p10938 :rule chain_m_resolution :premises (@p10937 @p7398 @p10858 @p20 @p2732 @p24 @p26) :args (@t275 @t512 @t513)) % 15.96/16.47 (step @p10939 :rule chain_m_resolution :premises (@p10512 @p7398 @p10858 @p26) :args (@t182 (@list false false false) (@list @t71 @t282 @t186))) % 15.96/16.47 (step @p10940 :rule chain_m_resolution :premises (@p10558 @p10858 @p10939) :args (@t273 @t505 (@list @t282 @t182))) % 15.96/16.47 (step @p10941 :rule chain_m_resolution :premises (@p2089 @p10940 @p10898 @p10938 @p2087) :args (@t176 @t510 (@list @t266 @t177 @t274 @t279))) % 15.96/16.47 (assume-push @p17190 @t71) % 15.96/16.47 (assume-push @p17191 @t282) % 15.96/16.47 (assume-push @p17192 @t119) % 15.96/16.47 (assume-push @p17193 @t117) % 15.96/16.47 (assume-push @p17194 @t150) % 15.96/16.47 (assume-push @p17195 @t176) % 15.96/16.47 (assume-push @p17196 @t186) % 15.96/16.47 (assume-push @p17197 @t461) % 15.96/16.47 (assume-push @p17198 @t176) % 15.96/16.47 (assume-push @p17199 @t71) % 15.96/16.47 (assume-push @p17200 @t282) % 15.96/16.47 (assume-push @p17201 @t186) % 15.96/16.47 (assume-push @p17202 @t119) % 15.96/16.47 (assume-push @p17203 @t117) % 15.96/16.47 (assume-push @p17204 @t461) % 15.96/16.47 (assume-push @p17205 @t150) % 15.96/16.47 (step @p10958 :rule symm :premises (@p17190)) % 15.96/16.47 (step @p55 :rule refl :args (tptp.a)) % 15.96/16.47 (step @p10959 :rule symm :premises (@p17191)) % 15.96/16.47 (step @p10960 :rule cong :premises (@p10959 @p55) :args (@t185)) % 15.96/16.47 (step @p667 :rule symm :premises (@p26)) % 15.96/16.47 (step @p565 :rule refl :args (tptp.c)) % 15.96/16.47 (step @p10961 :rule cong :premises (@p565 @p10959) :args (@t48)) % 15.96/16.47 (step @p10962 :rule cong :premises (@p565 @p10961) :args (@t49)) % 15.96/16.47 (step @p273 :rule symm :premises (@p20)) % 15.96/16.47 (step @p10963 :rule trans :premises (@p24 @p273 @p17195)) % 15.96/16.47 (step @p10964 :rule cong :premises (@p565 @p10963) :args (@t305)) % 15.96/16.47 (step @p300 :rule symm :premises (@p24)) % 15.96/16.47 (step @p10965 :rule trans :premises (@p10960 @p10958 @p20 @p300)) % 15.96/16.47 (step @p10966 :rule cong :premises (@p565 @p10965) :args (@t460)) % 15.96/16.47 (step @p10967 :rule cong :premises (@p17195 @p55) :args (@t149)) % 15.96/16.47 (step @p10968 :rule trans :premises (@p25 @p10967 @p7399 @p10966 @p10964 @p10962 @p667 @p10960 @p10958 @p17195)) % 15.96/16.47 (step-pop @p17206 :rule scope :premises (@p10968)) % 15.96/16.47 (step-pop @p17207 :rule scope :premises (@p17206)) % 15.96/16.47 (step-pop @p17208 :rule scope :premises (@p17207)) % 15.96/16.47 (step-pop @p17209 :rule scope :premises (@p17208)) % 15.96/16.47 (step-pop @p17210 :rule scope :premises (@p17209)) % 15.96/16.47 (step-pop @p17211 :rule scope :premises (@p17210)) % 15.96/16.47 (step-pop @p17212 :rule scope :premises (@p17211)) % 15.96/16.47 (step-pop @p17213 :rule scope :premises (@p17212)) % 15.96/16.47 (step @p10969 :rule process_scope :premises (@p17213) :args (@t177)) % 15.96/16.47 (step @p10978 :rule and_intro :premises (@p17195 @p17190 @p17191 @p26 @p20 @p24 @p7399 @p25)) % 15.96/16.47 (step @p10979 :rule modus_ponens :premises (@p10978 @p10969)) % 15.96/16.47 (step-pop @p17214 :rule scope :premises (@p10979)) % 15.96/16.47 (step-pop @p17215 :rule scope :premises (@p17214)) % 15.96/16.47 (step-pop @p17216 :rule scope :premises (@p17215)) % 15.96/16.47 (step-pop @p17217 :rule scope :premises (@p17216)) % 15.96/16.47 (step-pop @p17218 :rule scope :premises (@p17217)) % 15.96/16.47 (step-pop @p17219 :rule scope :premises (@p17218)) % 15.96/16.47 (step-pop @p17220 :rule scope :premises (@p17219)) % 15.96/16.47 (step-pop @p17221 :rule scope :premises (@p17220)) % 15.96/16.47 (step @p10980 :rule process_scope :premises (@p17221) :args (@t177)) % 15.96/16.47 (step @p10989 :rule implies_elim :premises (@p10980)) % 15.96/16.47 (step @p10990 :rule cnf_and_neg :args (@t515)) % 15.96/16.47 (step @p10991 :rule resolution :premises (@p10990 @p10989) :args (true @t515)) % 15.96/16.47 (step @p10992 :rule reordering :premises (@p10991) :args ((or @t188 @t293 @t120 @t118 @t177 @t152 @t281 @t187 @t464))) % 15.96/16.47 (step @p10993 false :rule chain_m_resolution :premises (@p10992 @p10941 @p10898 @p10858 @p7399 @p7398 @p26 @p25 @p24 @p20) :args (false (@list false true false false false false false false false) (@list @t176 @t177 @t282 @t461 @t71 @t186 @t150 @t117 @t119))) % 15.96/16.47 ) % 15.96/16.47 % SZS output end Proof % 15.96/16.47 % cvc5 exiting %------------------------------------------------------------------------------