%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP318-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:20:28 AM UTC 2026 % Result : Unsatisfiable 15.73s 15.99s % Output : Proof 15.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP318-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:01:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.88 --- Run --no-e-matching --full-saturate-quant at 6... % 15.73/15.99 % SZS status Unsatisfiable % 15.73/15.99 % SZS output start Proof % 15.73/16.02 ( % 15.73/16.02 (declare-sort $$unsorted 0) % 15.73/16.02 (declare-const tptp.sk_c2 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c3 $$unsorted) % 15.73/16.02 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.73/16.02 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.73/16.02 (declare-const tptp.sk_c11 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c4 $$unsorted) % 15.73/16.02 (declare-const tptp.identity $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c5 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c1 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c9 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c6 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c10 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c7 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c12 $$unsorted) % 15.73/16.02 (declare-const tptp.sk_c8 $$unsorted) % 15.73/16.02 (define @t1 () (@var "X" $$unsorted)) % 15.73/16.02 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.73/16.02 (define @t3 () (@list @t1)) % 15.73/16.02 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.73/16.02 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.73/16.02 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.73/16.02 (define @t7 () (@var "Z" $$unsorted)) % 15.73/16.02 (define @t8 () (@var "Y" $$unsorted)) % 15.73/16.02 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.73/16.02 (define @t10 () (tptp.multiply tptp.sk_c4 tptp.sk_c12)) % 15.73/16.02 (define @t11 () (= @t10 tptp.sk_c11)) % 15.73/16.02 (define @t12 () (tptp.multiply tptp.sk_c11 tptp.sk_c12)) % 15.73/16.02 (define @t13 () (= @t12 tptp.sk_c10)) % 15.73/16.02 (define @t14 () (or @t13 @t11)) % 15.73/16.02 (define @t15 () (tptp.inverse tptp.sk_c4)) % 15.73/16.02 (define @t16 () (= @t15 tptp.sk_c12)) % 15.73/16.02 (define @t17 () (or @t13 @t16)) % 15.73/16.02 (define @t18 () (tptp.multiply tptp.sk_c5 tptp.sk_c11)) % 15.73/16.02 (define @t19 () (= @t18 tptp.sk_c10)) % 15.73/16.02 (define @t20 () (or @t13 @t19)) % 15.73/16.02 (define @t21 () (tptp.inverse tptp.sk_c5)) % 15.73/16.02 (define @t22 () (= @t21 tptp.sk_c11)) % 15.73/16.02 (define @t23 () (or @t13 @t22)) % 15.73/16.02 (define @t24 () (tptp.multiply tptp.sk_c6 tptp.sk_c9)) % 15.73/16.02 (define @t25 () (= @t24 tptp.sk_c12)) % 15.73/16.02 (define @t26 () (or @t13 @t25)) % 15.73/16.02 (define @t27 () (tptp.inverse tptp.sk_c6)) % 15.73/16.02 (define @t28 () (= @t27 tptp.sk_c9)) % 15.73/16.02 (define @t29 () (or @t13 @t28)) % 15.73/16.02 (define @t30 () (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) tptp.sk_c12)) % 15.73/16.02 (define @t31 () (= (tptp.inverse tptp.sk_c8) tptp.sk_c7)) % 15.73/16.02 (define @t32 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c9)) % 15.73/16.02 (define @t33 () (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) % 15.73/16.02 (define @t34 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 15.73/16.02 (define @t35 () (= @t34 tptp.sk_c12)) % 15.73/16.02 (define @t36 () (or @t35 @t11)) % 15.73/16.02 (define @t37 () (or @t35 @t16)) % 15.73/16.02 (define @t38 () (or @t35 @t19)) % 15.73/16.02 (define @t39 () (or @t35 @t22)) % 15.73/16.02 (define @t40 () (tptp.inverse tptp.sk_c1)) % 15.73/16.02 (define @t41 () (= @t40 tptp.sk_c11)) % 15.73/16.02 (define @t42 () (or @t41 @t11)) % 15.73/16.02 (define @t43 () (or @t41 @t16)) % 15.73/16.02 (define @t44 () (or @t41 @t19)) % 15.73/16.02 (define @t45 () (or @t41 @t22)) % 15.73/16.02 (define @t46 () (tptp.multiply tptp.sk_c12 tptp.sk_c3)) % 15.73/16.02 (define @t47 () (= @t46 tptp.sk_c11)) % 15.73/16.02 (define @t48 () (or @t47 @t11)) % 15.73/16.02 (define @t49 () (or @t47 @t16)) % 15.73/16.02 (define @t50 () (tptp.multiply tptp.sk_c2 tptp.sk_c12)) % 15.73/16.02 (define @t51 () (= @t50 tptp.sk_c3)) % 15.73/16.02 (define @t52 () (or @t51 @t11)) % 15.73/16.02 (define @t53 () (or @t51 @t16)) % 15.73/16.02 (define @t54 () (tptp.inverse tptp.sk_c2)) % 15.73/16.02 (define @t55 () (= @t54 tptp.sk_c12)) % 15.73/16.02 (define @t56 () (or @t55 @t11)) % 15.73/16.02 (define @t57 () (or @t55 @t16)) % 15.73/16.02 (define @t58 () (@var "X9" $$unsorted)) % 15.73/16.02 (define @t59 () (@var "X3" $$unsorted)) % 15.73/16.02 (define @t60 () (@var "X8" $$unsorted)) % 15.73/16.02 (define @t61 () (tptp.multiply @t60 @t59)) % 15.73/16.02 (define @t62 () (not (= @t61 @t58))) % 15.73/16.02 (define @t63 () (tptp.inverse @t58)) % 15.73/16.02 (define @t64 () (not (= @t63 @t59))) % 15.73/16.02 (define @t65 () (tptp.inverse @t60)) % 15.73/16.02 (define @t66 () (not (= @t65 @t58))) % 15.73/16.02 (define @t67 () (tptp.multiply @t59 tptp.sk_c11)) % 15.73/16.02 (define @t68 () (not (= @t67 tptp.sk_c12))) % 15.73/16.02 (define @t69 () (@var "X7" $$unsorted)) % 15.73/16.02 (define @t70 () (tptp.inverse @t69)) % 15.73/16.02 (define @t71 () (not (= @t70 @t59))) % 15.73/16.02 (define @t72 () (tptp.multiply @t69 @t59)) % 15.73/16.02 (define @t73 () (not (= @t72 tptp.sk_c12))) % 15.73/16.02 (define @t74 () (@var "X2" $$unsorted)) % 15.73/16.02 (define @t75 () (tptp.inverse @t74)) % 15.73/16.02 (define @t76 () (not (= @t75 tptp.sk_c11))) % 15.73/16.02 (define @t77 () (tptp.multiply @t74 tptp.sk_c11)) % 15.73/16.02 (define @t78 () (not (= @t77 tptp.sk_c10))) % 15.73/16.02 (define @t79 () (@var "X1" $$unsorted)) % 15.73/16.02 (define @t80 () (tptp.inverse @t79)) % 15.73/16.02 (define @t81 () (not (= @t80 tptp.sk_c12))) % 15.73/16.02 (define @t82 () (tptp.multiply @t79 tptp.sk_c12)) % 15.73/16.02 (define @t83 () (not (= @t82 tptp.sk_c11))) % 15.73/16.02 (define @t84 () (@var "X6" $$unsorted)) % 15.73/16.02 (define @t85 () (tptp.inverse @t84)) % 15.73/16.02 (define @t86 () (not (= @t85 tptp.sk_c12))) % 15.73/16.02 (define @t87 () (@var "X5" $$unsorted)) % 15.73/16.02 (define @t88 () (tptp.multiply @t84 tptp.sk_c12)) % 15.73/16.02 (define @t89 () (not (= @t88 @t87))) % 15.73/16.02 (define @t90 () (tptp.multiply tptp.sk_c12 @t87)) % 15.73/16.02 (define @t91 () (not (= @t90 tptp.sk_c11))) % 15.73/16.02 (define @t92 () (@var "X4" $$unsorted)) % 15.73/16.02 (define @t93 () (tptp.inverse @t92)) % 15.73/16.02 (define @t94 () (not (= @t93 tptp.sk_c11))) % 15.73/16.02 (define @t95 () (tptp.multiply @t92 tptp.sk_c11)) % 15.73/16.02 (define @t96 () (not (= @t95 tptp.sk_c12))) % 15.73/16.02 (define @t97 () (not @t13)) % 15.73/16.02 (define @t98 () (or @t97 @t96 @t94 @t91 @t89 @t86 @t83 @t81 @t78 @t76 @t73 @t71 @t68 @t66 @t64 @t62)) % 15.73/16.02 (define @t99 () (@list @t92 @t87 @t84 @t79 @t74 @t69 @t59 @t60 @t58)) % 15.73/16.02 (define @t100 () (forall @t99 @t98)) % 15.73/16.02 (define @t101 () (@list tptp.sk_c12)) % 15.73/16.02 (define @t102 () (@list tptp.sk_c11)) % 15.73/16.02 (define @t103 () (@list tptp.sk_c5)) % 15.73/16.02 (define @t104 () (@list tptp.sk_c4)) % 15.73/16.02 (define @t105 () (@list tptp.sk_c9)) % 15.73/16.02 (define @t106 () (tptp.inverse tptp.sk_c9)) % 15.73/16.02 (define @t107 () (tptp.inverse tptp.sk_c12)) % 15.73/16.02 (define @t108 () (= tptp.sk_c11 @t40)) % 15.73/16.02 (define @t109 () (= tptp.sk_c11 @t10)) % 15.73/16.02 (define @t110 () (= tptp.sk_c12 @t15)) % 15.73/16.02 (define @t111 () (= tptp.sk_c10 @t18)) % 15.73/16.02 (define @t112 () (= tptp.sk_c11 @t21)) % 15.73/16.02 (define @t113 () (not @t110)) % 15.73/16.02 (define @t114 () (not @t109)) % 15.73/16.02 (define @t115 () (or @t114 @t113)) % 15.73/16.02 (define @t116 () (not (= tptp.sk_c12 @t80))) % 15.73/16.02 (define @t117 () (not (= tptp.sk_c11 @t82))) % 15.73/16.02 (define @t118 () (or @t117 @t116)) % 15.73/16.02 (define @t119 () (forall (@list @t79) @t118)) % 15.73/16.02 (define @t120 () (tptp.multiply tptp.identity tptp.sk_c12)) % 15.73/16.02 (define @t121 () (= tptp.sk_c12 @t120)) % 15.73/16.02 (define @t122 () (tptp.multiply @t15 tptp.sk_c4)) % 15.73/16.02 (define @t123 () (= tptp.identity @t122)) % 15.73/16.02 (define @t124 () (tptp.multiply @t15 @t10)) % 15.73/16.02 (define @t125 () (= (tptp.multiply @t122 tptp.sk_c12) @t124)) % 15.73/16.02 (define @t126 () (tptp.multiply tptp.sk_c12 tptp.sk_c11)) % 15.73/16.02 (define @t127 () (= tptp.sk_c12 @t126)) % 15.73/16.02 (define @t128 () (and @t109 @t110 @t121 @t123 @t125)) % 15.73/16.02 (define @t129 () (= tptp.sk_c10 @t12)) % 15.73/16.02 (define @t130 () (tptp.multiply tptp.identity tptp.identity)) % 15.73/16.02 (define @t131 () (= tptp.identity @t130)) % 15.73/16.02 (define @t132 () (tptp.multiply tptp.identity tptp.sk_c11)) % 15.73/16.02 (define @t133 () (= tptp.sk_c11 @t132)) % 15.73/16.02 (define @t134 () (tptp.multiply @t107 tptp.sk_c12)) % 15.73/16.02 (define @t135 () (= tptp.identity @t134)) % 15.73/16.02 (define @t136 () (tptp.multiply @t107 @t126)) % 15.73/16.02 (define @t137 () (= (tptp.multiply @t134 tptp.sk_c11) @t136)) % 15.73/16.02 (define @t138 () (tptp.multiply tptp.identity @t132)) % 15.73/16.02 (define @t139 () (tptp.multiply @t130 tptp.sk_c11)) % 15.73/16.02 (define @t140 () (= tptp.sk_c10 (tptp.multiply @t15 tptp.sk_c11))) % 15.73/16.02 (define @t141 () (and @t129 @t109 @t110 @t131 @t121 @t133 @t135 @t123 @t125 @t137)) % 15.73/16.02 (define @t142 () (not @t137)) % 15.73/16.02 (define @t143 () (not @t125)) % 15.73/16.02 (define @t144 () (not @t123)) % 15.73/16.02 (define @t145 () (not @t135)) % 15.73/16.02 (define @t146 () (not @t133)) % 15.73/16.02 (define @t147 () (not @t121)) % 15.73/16.02 (define @t148 () (not @t131)) % 15.73/16.02 (define @t149 () (not @t129)) % 15.73/16.02 (define @t150 () (tptp.inverse tptp.sk_c11)) % 15.73/16.02 (define @t151 () (tptp.multiply @t150 tptp.sk_c11)) % 15.73/16.02 (define @t152 () (= tptp.identity @t151)) % 15.73/16.02 (define @t153 () (tptp.multiply tptp.identity tptp.sk_c5)) % 15.73/16.02 (define @t154 () (= tptp.sk_c5 @t153)) % 15.73/16.02 (define @t155 () (tptp.multiply @t21 tptp.sk_c5)) % 15.73/16.02 (define @t156 () (= tptp.identity @t155)) % 15.73/16.02 (define @t157 () (= tptp.sk_c12 @t151)) % 15.73/16.02 (define @t158 () (and @t129 @t109 @t110 @t111 @t112 @t131 @t121 @t133 @t152 @t135 @t154 @t123 @t156 @t125 @t137)) % 15.73/16.02 (define @t159 () (not @t156)) % 15.73/16.02 (define @t160 () (not @t154)) % 15.73/16.02 (define @t161 () (not @t152)) % 15.73/16.02 (define @t162 () (not @t112)) % 15.73/16.02 (define @t163 () (not @t111)) % 15.73/16.02 (define @t164 () (tptp.multiply tptp.sk_c12 @t10)) % 15.73/16.02 (define @t165 () (= tptp.sk_c11 @t164)) % 15.73/16.02 (define @t166 () (and @t129 @t109 @t110 @t111 @t112 @t131 @t121 @t133 @t135 @t154 @t123 @t156 @t125 @t137)) % 15.73/16.02 (define @t167 () (tptp.inverse tptp.identity)) % 15.73/16.02 (define @t168 () (= tptp.sk_c12 (tptp.multiply tptp.sk_c11 @t150))) % 15.73/16.02 (define @t169 () (tptp.inverse @t15)) % 15.73/16.02 (define @t170 () (= tptp.sk_c11 @t169)) % 15.73/16.02 (define @t171 () (= tptp.sk_c11 @t107)) % 15.73/16.02 (define @t172 () (not @t165)) % 15.73/16.02 (define @t173 () (or @t172 @t113)) % 15.73/16.02 (define @t174 () (not @t170)) % 15.73/16.02 (define @t175 () (not @t140)) % 15.73/16.02 (define @t176 () (or @t175 @t174)) % 15.73/16.02 (define @t177 () (not @t171)) % 15.73/16.02 (define @t178 () (not @t127)) % 15.73/16.02 (define @t179 () (or @t178 @t177)) % 15.73/16.02 (define @t180 () (not (= tptp.sk_c12 @t85))) % 15.73/16.02 (define @t181 () (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c12 @t88)))) % 15.73/16.02 (define @t182 () (or @t181 @t180)) % 15.73/16.02 (define @t183 () (@list @t84)) % 15.73/16.02 (define @t184 () (forall @t183 @t182)) % 15.73/16.02 (define @t185 () (not (= tptp.sk_c11 @t75))) % 15.73/16.02 (define @t186 () (not (= tptp.sk_c10 @t77))) % 15.73/16.02 (define @t187 () (or @t186 @t185)) % 15.73/16.02 (define @t188 () (forall (@list @t74) @t187)) % 15.73/16.02 (define @t189 () (not (= tptp.sk_c11 @t93))) % 15.73/16.02 (define @t190 () (not (= tptp.sk_c12 @t95))) % 15.73/16.02 (define @t191 () (or @t190 @t189)) % 15.73/16.02 (define @t192 () (forall (@list @t92) @t191)) % 15.73/16.02 (define @t193 () (tptp.multiply @t60 @t70)) % 15.73/16.02 (define @t194 () (not (= @t65 @t193))) % 15.73/16.02 (define @t195 () (not (= @t70 (tptp.inverse @t65)))) % 15.73/16.02 (define @t196 () (not (= tptp.sk_c12 (tptp.multiply @t70 tptp.sk_c11)))) % 15.73/16.02 (define @t197 () (not (= tptp.sk_c12 (tptp.multiply @t69 @t70)))) % 15.73/16.02 (define @t198 () (or @t197 @t196 @t195 @t194)) % 15.73/16.02 (define @t199 () (not (= @t65 @t65))) % 15.73/16.02 (define @t200 () (or @t197 @t196 @t199 @t195 @t194)) % 15.73/16.02 (define @t201 () (@list @t69 @t60)) % 15.73/16.02 (define @t202 () (not (= @t58 @t193))) % 15.73/16.02 (define @t203 () (not (= @t70 @t63))) % 15.73/16.02 (define @t204 () (not (= @t58 @t65))) % 15.73/16.02 (define @t205 () (or @t204 @t197 @t196 @t204 @t203 @t202)) % 15.73/16.02 (define @t206 () (@list @t58)) % 15.73/16.02 (define @t207 () (or @t197 @t196 @t204 @t203 @t202)) % 15.73/16.02 (define @t208 () (forall @t206 @t207)) % 15.73/16.02 (define @t209 () (forall @t201 @t208)) % 15.73/16.02 (define @t210 () (@list @t69 @t60 @t58)) % 15.73/16.02 (define @t211 () (not (= @t70 @t70))) % 15.73/16.02 (define @t212 () (or @t197 @t211 @t196 @t204 @t203 @t202)) % 15.73/16.02 (define @t213 () (not (= @t58 @t61))) % 15.73/16.02 (define @t214 () (not (= @t59 @t63))) % 15.73/16.02 (define @t215 () (not (= tptp.sk_c12 @t67))) % 15.73/16.02 (define @t216 () (not (= @t59 @t70))) % 15.73/16.02 (define @t217 () (not (= tptp.sk_c12 @t72))) % 15.73/16.02 (define @t218 () (or @t216 @t217 @t216 @t215 @t204 @t214 @t213)) % 15.73/16.02 (define @t219 () (@list @t59)) % 15.73/16.02 (define @t220 () (or @t217 @t216 @t215 @t204 @t214 @t213)) % 15.73/16.02 (define @t221 () (forall @t219 @t220)) % 15.73/16.02 (define @t222 () (forall @t210 @t221)) % 15.73/16.02 (define @t223 () (forall (@list @t69 @t60 @t58 @t59) @t220)) % 15.73/16.02 (define @t224 () (forall (@list @t69 @t59 @t60 @t58) @t220)) % 15.73/16.02 (define @t225 () (not (= @t88 @t88))) % 15.73/16.02 (define @t226 () (or @t181 @t225 @t180)) % 15.73/16.02 (define @t227 () (not (= @t87 @t88))) % 15.73/16.02 (define @t228 () (not (= tptp.sk_c11 @t90))) % 15.73/16.02 (define @t229 () (or @t227 @t228 @t227 @t180)) % 15.73/16.02 (define @t230 () (@list @t87)) % 15.73/16.02 (define @t231 () (or @t228 @t227 @t180)) % 15.73/16.02 (define @t232 () (forall @t230 @t231)) % 15.73/16.02 (define @t233 () (forall @t183 @t232)) % 15.73/16.02 (define @t234 () (forall (@list @t84 @t87) @t231)) % 15.73/16.02 (define @t235 () (forall (@list @t87 @t84) @t231)) % 15.73/16.02 (define @t236 () (or @t149 @t192 @t235 @t119 @t188 @t224)) % 15.73/16.02 (define @t237 () (or @t149 @t191 @t231 @t118 @t187 @t220)) % 15.73/16.02 (define @t238 () (or @t149 @t190 @t189 @t228 @t227 @t180 @t117 @t116 @t186 @t185 @t217 @t216 @t215 @t204 @t214 @t213)) % 15.73/16.02 (define @t239 () (forall @t201 @t198)) % 15.73/16.02 (define @t240 () (= @t15 (tptp.multiply tptp.sk_c4 @t150))) % 15.73/16.02 (define @t241 () (not @t240)) % 15.73/16.02 (define @t242 () (= @t150 @t169)) % 15.73/16.02 (define @t243 () (not @t242)) % 15.73/16.02 (define @t244 () (not @t157)) % 15.73/16.02 (define @t245 () (not @t168)) % 15.73/16.02 (define @t246 () (or @t245 @t244 @t243 @t241)) % 15.73/16.02 (define @t247 () (tptp.multiply tptp.identity tptp.sk_c4)) % 15.73/16.02 (define @t248 () (= tptp.sk_c4 @t247)) % 15.73/16.02 (define @t249 () (tptp.multiply tptp.sk_c12 @t247)) % 15.73/16.02 (define @t250 () (tptp.multiply tptp.sk_c12 tptp.identity)) % 15.73/16.02 (define @t251 () (tptp.multiply @t250 tptp.sk_c4)) % 15.73/16.02 (define @t252 () (= @t251 @t249)) % 15.73/16.02 (define @t253 () (tptp.multiply tptp.sk_c12 tptp.sk_c4)) % 15.73/16.02 (define @t254 () (and @t129 @t109 @t110 @t111 @t112 @t131 @t121 @t133 @t248 @t135 @t154 @t123 @t156 @t252 @t125 @t137)) % 15.73/16.02 (define @t255 () (not @t108)) % 15.73/16.02 (define @t256 () (= tptp.sk_c12 @t34)) % 15.73/16.02 (define @t257 () (not @t256)) % 15.73/16.02 (define @t258 () (or @t257 @t255)) % 15.73/16.02 (define @t259 () (@list tptp.sk_c1)) % 15.73/16.02 (define @t260 () (= tptp.sk_c12 @t54)) % 15.73/16.02 (define @t261 () (tptp.inverse @t40)) % 15.73/16.02 (define @t262 () (= @t150 @t261)) % 15.73/16.02 (define @t263 () (tptp.multiply @t40 tptp.sk_c1)) % 15.73/16.02 (define @t264 () (= tptp.identity @t263)) % 15.73/16.02 (define @t265 () (tptp.multiply @t40 @t34)) % 15.73/16.02 (define @t266 () (tptp.multiply @t263 tptp.sk_c11)) % 15.73/16.02 (define @t267 () (= @t266 @t265)) % 15.73/16.02 (define @t268 () (tptp.multiply @t150 @t12)) % 15.73/16.02 (define @t269 () (tptp.multiply @t151 tptp.sk_c12)) % 15.73/16.02 (define @t270 () (= @t269 @t268)) % 15.73/16.02 (define @t271 () (and @t256 @t108 @t131 @t121 @t133 @t152 @t264 @t267 @t270)) % 15.73/16.02 (define @t272 () (and @t129 @t110 @t256 @t108 @t131 @t121 @t133 @t152 @t264 @t267 @t270)) % 15.73/16.02 (define @t273 () (tptp.multiply tptp.identity @t253)) % 15.73/16.02 (define @t274 () (tptp.multiply @t120 tptp.sk_c4)) % 15.73/16.02 (define @t275 () (= @t274 @t273)) % 15.73/16.02 (define @t276 () (tptp.multiply tptp.sk_c4 tptp.identity)) % 15.73/16.02 (define @t277 () (tptp.multiply @t247 tptp.sk_c12)) % 15.73/16.02 (define @t278 () (and @t109 @t110 @t256 @t108 @t131 @t121 @t133 @t152 @t248 @t123 @t275 @t264 @t267 @t270)) % 15.73/16.02 (define @t279 () (= tptp.sk_c11 @t46)) % 15.73/16.02 (define @t280 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.73/16.02 (define @t281 () (= tptp.sk_c3 @t280)) % 15.73/16.02 (define @t282 () (tptp.inverse tptp.sk_c3)) % 15.73/16.02 (define @t283 () (and @t109 @t110 @t256 @t108 @t279 @t131 @t121 @t133 @t152 @t248 @t123 @t275 @t281 @t264 @t267 @t270)) % 15.73/16.02 (define @t284 () (tptp.multiply tptp.sk_c1 @t12)) % 15.73/16.02 (define @t285 () (= @t40 (tptp.multiply tptp.sk_c1 @t150))) % 15.73/16.02 (define @t286 () (not @t285)) % 15.73/16.02 (define @t287 () (not @t262)) % 15.73/16.02 (define @t288 () (or @t245 @t244 @t287 @t286)) % 15.73/16.02 (define @t289 () (not @t279)) % 15.73/16.02 (define @t290 () (forall @t3 (= tptp.identity @t5))) % 15.73/16.02 (define @t291 () (forall @t3 (= @t1 @t2))) % 15.73/16.02 (define @t292 () (= tptp.sk_c10 @t126)) % 15.73/16.02 (define @t293 () (and @t129 @t256 @t108 @t131 @t121 @t133 @t152 @t264 @t267 @t270)) % 15.73/16.02 (define @t294 () (= tptp.sk_c11 @t50)) % 15.73/16.02 (define @t295 () (not @t270)) % 15.73/16.02 (define @t296 () (not @t267)) % 15.73/16.02 (define @t297 () (not @t264)) % 15.73/16.02 (define @t298 () (not @t281)) % 15.73/16.02 (define @t299 () (= tptp.sk_c3 @t50)) % 15.73/16.02 (define @t300 () (not @t299)) % 15.73/16.02 (define @t301 () (not @t294)) % 15.73/16.02 (define @t302 () (and @t294 @t301)) % 15.73/16.02 (define @t303 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c12 @t50))) % 15.73/16.02 (define @t304 () (and @t279 @t299)) % 15.73/16.02 (define @t305 () (not @t260)) % 15.73/16.02 (define @t306 () (not @t303)) % 15.73/16.02 (define @t307 () (or @t306 @t305)) % 15.73/16.02 (define @t308 () (@list tptp.sk_c2)) % 15.73/16.02 (define @t309 () (or @t301 @t305)) % 15.73/16.02 (define @t310 () (tptp.multiply tptp.identity tptp.sk_c2)) % 15.73/16.02 (define @t311 () (= tptp.sk_c2 @t310)) % 15.73/16.02 (define @t312 () (tptp.multiply @t54 tptp.sk_c2)) % 15.73/16.02 (define @t313 () (= tptp.identity @t312)) % 15.73/16.02 (define @t314 () (and @t256 @t108 @t279 @t299 @t260 @t131 @t121 @t133 @t152 @t281 @t264 @t267 @t270 @t311 @t313)) % 15.73/16.02 (define @t315 () (not @t313)) % 15.73/16.02 (define @t316 () (not @t311)) % 15.73/16.02 (define @t317 () (not @t292)) % 15.73/16.02 (define @t318 () (or @t317 @t177)) % 15.73/16.02 (define @t319 () (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) % 15.73/16.02 (define @t320 () (and @t256 @t108 @t279 @t299 @t260 @t131 @t121 @t133 @t152 @t319 @t281 @t264 @t267 @t270 @t311 @t313)) % 15.73/16.02 (define @t321 () (= tptp.sk_c12 @t169)) % 15.73/16.02 (define @t322 () (= tptp.sk_c12 @t107)) % 15.73/16.02 (define @t323 () (= false true)) % 15.73/16.02 (define @t324 () (and @t131 @t152 @t157 @t321 @t170 @t322 @t177)) % 15.73/16.02 (define @t325 () (@list true)) % 15.73/16.02 (define @t326 () (@list @t129)) % 15.73/16.02 (define @t327 () (= tptp.sk_c12 @t24)) % 15.73/16.02 (define @t328 () (= tptp.sk_c9 @t27)) % 15.73/16.02 (define @t329 () (tptp.multiply tptp.sk_c9 tptp.sk_c12)) % 15.73/16.02 (define @t330 () (tptp.multiply @t106 @t329)) % 15.73/16.02 (define @t331 () (tptp.multiply @t106 tptp.sk_c9)) % 15.73/16.02 (define @t332 () (= (tptp.multiply @t331 tptp.sk_c12) @t330)) % 15.73/16.02 (define @t333 () (not @t332)) % 15.73/16.02 (define @t334 () (tptp.multiply @t27 tptp.sk_c6)) % 15.73/16.02 (define @t335 () (tptp.multiply @t334 tptp.sk_c9)) % 15.73/16.02 (define @t336 () (= @t335 (tptp.multiply @t27 @t24))) % 15.73/16.02 (define @t337 () (not @t336)) % 15.73/16.02 (define @t338 () (= tptp.identity @t331)) % 15.73/16.02 (define @t339 () (not @t338)) % 15.73/16.02 (define @t340 () (= tptp.identity @t334)) % 15.73/16.02 (define @t341 () (not @t340)) % 15.73/16.02 (define @t342 () (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) % 15.73/16.02 (define @t343 () (not @t342)) % 15.73/16.02 (define @t344 () (not @t328)) % 15.73/16.02 (define @t345 () (not @t327)) % 15.73/16.02 (define @t346 () (= tptp.sk_c12 @t21)) % 15.73/16.02 (define @t347 () (= tptp.sk_c11 @t120)) % 15.73/16.02 (define @t348 () (not @t347)) % 15.73/16.02 (define @t349 () (tptp.multiply @t27 tptp.sk_c12)) % 15.73/16.02 (define @t350 () (and @t131 @t152 @t157 @t346 @t112 @t121 @t348)) % 15.73/16.02 (assume @p1 @t4) % 15.73/16.02 (assume @p2 @t6) % 15.73/16.02 (assume @p3 @t9) % 15.73/16.02 (assume @p4 @t14) % 15.73/16.02 (assume @p5 @t17) % 15.73/16.02 (assume @p6 @t20) % 15.73/16.02 (assume @p7 @t23) % 15.73/16.02 (assume @p8 @t26) % 15.73/16.02 (assume @p9 @t29) % 15.73/16.02 (assume @p10 (or @t13 @t30)) % 15.73/16.02 (assume @p11 (or @t13 @t31)) % 15.73/16.02 (assume @p12 (or @t13 @t32)) % 15.73/16.02 (assume @p13 (or @t13 @t33)) % 15.73/16.02 (assume @p14 @t36) % 15.73/16.02 (assume @p15 @t37) % 15.73/16.02 (assume @p16 @t38) % 15.73/16.02 (assume @p17 @t39) % 15.73/16.02 (assume @p18 (or @t35 @t25)) % 15.73/16.02 (assume @p19 (or @t35 @t28)) % 15.73/16.02 (assume @p20 (or @t35 @t30)) % 15.73/16.02 (assume @p21 (or @t35 @t31)) % 15.73/16.02 (assume @p22 (or @t35 @t32)) % 15.73/16.02 (assume @p23 (or @t35 @t33)) % 15.73/16.02 (assume @p24 @t42) % 15.73/16.02 (assume @p25 @t43) % 15.73/16.02 (assume @p26 @t44) % 15.73/16.02 (assume @p27 @t45) % 15.73/16.02 (assume @p28 (or @t41 @t25)) % 15.73/16.02 (assume @p29 (or @t41 @t28)) % 15.73/16.02 (assume @p30 (or @t41 @t30)) % 15.73/16.02 (assume @p31 (or @t41 @t31)) % 15.73/16.02 (assume @p32 (or @t41 @t32)) % 15.73/16.02 (assume @p33 (or @t41 @t33)) % 15.73/16.02 (assume @p34 @t48) % 15.73/16.02 (assume @p35 @t49) % 15.73/16.02 (assume @p36 (or @t47 @t19)) % 15.73/16.02 (assume @p37 (or @t47 @t22)) % 15.73/16.02 (assume @p38 (or @t47 @t25)) % 15.73/16.02 (assume @p39 (or @t47 @t28)) % 15.73/16.02 (assume @p40 (or @t47 @t30)) % 15.73/16.02 (assume @p41 (or @t47 @t31)) % 15.73/16.02 (assume @p42 (or @t47 @t32)) % 15.73/16.02 (assume @p43 (or @t47 @t33)) % 15.73/16.02 (assume @p44 @t52) % 15.73/16.02 (assume @p45 @t53) % 15.73/16.02 (assume @p46 (or @t51 @t19)) % 15.73/16.02 (assume @p47 (or @t51 @t22)) % 15.73/16.02 (assume @p48 (or @t51 @t25)) % 15.73/16.02 (assume @p49 (or @t51 @t28)) % 15.73/16.02 (assume @p50 (or @t51 @t30)) % 15.73/16.02 (assume @p51 (or @t51 @t31)) % 15.73/16.02 (assume @p52 (or @t51 @t32)) % 15.73/16.02 (assume @p53 (or @t51 @t33)) % 15.73/16.02 (assume @p54 @t56) % 15.73/16.02 (assume @p55 @t57) % 15.73/16.02 (assume @p56 (or @t55 @t19)) % 15.73/16.02 (assume @p57 (or @t55 @t22)) % 15.73/16.02 (assume @p58 (or @t55 @t25)) % 15.73/16.02 (assume @p59 (or @t55 @t28)) % 15.73/16.02 (assume @p60 (or @t55 @t30)) % 15.73/16.02 (assume @p61 (or @t55 @t31)) % 15.73/16.02 (assume @p62 (or @t55 @t32)) % 15.73/16.02 (assume @p63 (or @t55 @t33)) % 15.73/16.02 (assume @p64 @t100) % 15.73/16.02 (step @p65 :rule eq-symm :args (@t2 @t1)) % 15.73/16.02 (step @p66 :rule cong :premises (@p65) :args (@t4)) % 15.73/16.02 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 15.73/16.02 (step @p68 :rule instantiate :premises (@p67) :args ((@list tptp.identity))) % 15.73/16.02 (step @p69 :rule instantiate :premises (@p67) :args (@t101)) % 15.73/16.02 (step @p70 :rule instantiate :premises (@p67) :args (@t102)) % 15.73/16.02 (step @p71 :rule eq-symm :args (@t5 tptp.identity)) % 15.73/16.02 (step @p72 :rule cong :premises (@p71) :args (@t6)) % 15.73/16.02 (step @p73 :rule eq_resolve :premises (@p2 @p72)) % 15.73/16.02 (step @p74 :rule instantiate :premises (@p73) :args (@t102)) % 15.73/16.02 (step @p75 :rule instantiate :premises (@p73) :args (@t101)) % 15.73/16.02 (step @p76 :rule instantiate :premises (@p67) :args (@t103)) % 15.73/16.02 (step @p77 :rule instantiate :premises (@p73) :args (@t104)) % 15.73/16.02 (step @p78 :rule instantiate :premises (@p73) :args (@t103)) % 15.73/16.02 (step @p79 :rule instantiate :premises (@p67) :args (@t105)) % 15.73/16.02 (step @p80 :rule instantiate :premises (@p73) :args ((@list tptp.sk_c6))) % 15.73/16.02 (step @p81 :rule instantiate :premises (@p73) :args (@t105)) % 15.73/16.02 (step @p82 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c4 tptp.sk_c12))) % 15.73/16.02 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.sk_c6 tptp.sk_c9))) % 15.73/16.02 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t106 tptp.sk_c9 tptp.sk_c12))) % 15.73/16.02 (step @p85 :rule instantiate :premises (@p3) :args ((@list @t107 tptp.sk_c12 tptp.sk_c11))) % 15.73/16.02 (step @p86 :rule eq-symm :args (@t10 tptp.sk_c11)) % 15.73/16.02 (step @p87 :rule eq-symm :args (@t40 tptp.sk_c11)) % 15.73/16.02 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t42)) % 15.73/16.02 (step @p89 :rule eq_resolve :premises (@p24 @p88)) % 15.73/16.02 (step @p90 :rule reordering :premises (@p89) :args ((or @t109 @t108))) % 15.73/16.02 (step @p91 :rule eq-symm :args (@t15 tptp.sk_c12)) % 15.73/16.02 (step @p92 :rule nary_cong :premises (@p87 @p91) :args (@t43)) % 15.73/16.02 (step @p93 :rule eq_resolve :premises (@p25 @p92)) % 15.73/16.02 (step @p94 :rule reordering :premises (@p93) :args ((or @t110 @t108))) % 15.73/16.02 (step @p95 :rule eq-symm :args (@t18 tptp.sk_c10)) % 15.73/16.02 (step @p96 :rule nary_cong :premises (@p87 @p95) :args (@t44)) % 15.73/16.02 (step @p97 :rule eq_resolve :premises (@p26 @p96)) % 15.73/16.02 (step @p98 :rule reordering :premises (@p97) :args ((or @t111 @t108))) % 15.73/16.02 (step @p99 :rule eq-symm :args (@t21 tptp.sk_c11)) % 15.73/16.02 (step @p100 :rule nary_cong :premises (@p87 @p99) :args (@t45)) % 15.73/16.02 (step @p101 :rule eq_resolve :premises (@p27 @p100)) % 15.73/16.02 (step @p102 :rule reordering :premises (@p101) :args ((or @t112 @t108))) % 15.73/16.02 (step @p103 :rule cnf_or_pos :args (@t115)) % 15.73/16.02 (step @p104 :rule reordering :premises (@p103) :args ((or @t114 @t113 (not @t115)))) % 15.73/16.02 (assume-push @p2763 @t119) % 15.73/16.02 (step @p106 :rule instantiate :premises (@p2763) :args (@t104)) % 15.73/16.02 (step-pop @p2764 :rule scope :premises (@p106)) % 15.73/16.02 (step @p107 :rule process_scope :premises (@p2764) :args (@t115)) % 15.73/16.02 (step @p109 :rule implies_elim :premises (@p107)) % 15.73/16.02 (assume-push @p2765 @t109) % 15.73/16.02 (assume-push @p2766 @t110) % 15.73/16.02 (assume-push @p2767 @t121) % 15.73/16.02 (assume-push @p2768 @t123) % 15.73/16.02 (assume-push @p2769 @t125) % 15.73/16.02 (assume-push @p2770 @t110) % 15.73/16.02 (assume-push @p2771 @t109) % 15.73/16.02 (assume-push @p2772 @t125) % 15.73/16.02 (assume-push @p2773 @t123) % 15.73/16.02 (assume-push @p2774 @t121) % 15.73/16.02 (step @p120 :rule symm :premises (@p2765)) % 15.73/16.02 (step @p121 :rule symm :premises (@p2766)) % 15.73/16.02 (step @p122 :rule cong :premises (@p121 @p120) :args (@t124)) % 15.73/16.02 (step @p123 :rule refl :args (tptp.sk_c12)) % 15.73/16.02 (step @p124 :rule cong :premises (@p77 @p123) :args (@t120)) % 15.73/16.02 (step @p125 :rule trans :premises (@p69 @p124 @p82 @p122)) % 15.73/16.02 (step-pop @p2775 :rule scope :premises (@p125)) % 15.73/16.02 (step-pop @p2776 :rule scope :premises (@p2775)) % 15.73/16.02 (step-pop @p2777 :rule scope :premises (@p2776)) % 15.73/16.02 (step-pop @p2778 :rule scope :premises (@p2777)) % 15.73/16.02 (step-pop @p2779 :rule scope :premises (@p2778)) % 15.73/16.02 (step @p126 :rule process_scope :premises (@p2779) :args (@t127)) % 15.73/16.02 (step @p132 :rule and_intro :premises (@p2766 @p2765 @p82 @p77 @p69)) % 15.73/16.02 (step @p133 :rule modus_ponens :premises (@p132 @p126)) % 15.73/16.02 (step-pop @p2780 :rule scope :premises (@p133)) % 15.73/16.02 (step-pop @p2781 :rule scope :premises (@p2780)) % 15.73/16.02 (step-pop @p2782 :rule scope :premises (@p2781)) % 15.73/16.02 (step-pop @p2783 :rule scope :premises (@p2782)) % 15.73/16.02 (step-pop @p2784 :rule scope :premises (@p2783)) % 15.73/16.02 (step @p134 :rule process_scope :premises (@p2784) :args (@t127)) % 15.73/16.02 (step @p140 :rule implies_elim :premises (@p134)) % 15.73/16.02 (step @p141 :rule cnf_and_neg :args (@t128)) % 15.73/16.02 (step @p142 :rule resolution :premises (@p141 @p140) :args (true @t128)) % 15.73/16.02 (assume-push @p2785 @t129) % 15.73/16.02 (assume-push @p2786 @t109) % 15.73/16.02 (assume-push @p2787 @t110) % 15.73/16.02 (assume-push @p2788 @t131) % 15.73/16.02 (assume-push @p2789 @t121) % 15.73/16.02 (assume-push @p2790 @t133) % 15.73/16.02 (assume-push @p2791 @t135) % 15.73/16.02 (assume-push @p2792 @t123) % 15.73/16.02 (assume-push @p2793 @t125) % 15.73/16.02 (assume-push @p2794 @t137) % 15.73/16.02 (assume-push @p2795 @t109) % 15.73/16.02 (assume-push @p2796 @t125) % 15.73/16.02 (assume-push @p2797 @t123) % 15.73/16.02 (assume-push @p2798 @t135) % 15.73/16.02 (assume-push @p2799 @t121) % 15.73/16.02 (assume-push @p2800 @t110) % 15.73/16.02 (assume-push @p2801 @t137) % 15.73/16.02 (assume-push @p2802 @t133) % 15.73/16.02 (assume-push @p2803 @t131) % 15.73/16.02 (assume-push 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15.73/16.02 (assume-push @p2899 @t109) % 15.73/16.02 (assume-push @p2900 @t110) % 15.73/16.02 (assume-push @p2901 @t125) % 15.73/16.02 (assume-push @p2902 @t123) % 15.73/16.02 (assume-push @p2903 @t135) % 15.73/16.02 (assume-push @p2904 @t121) % 15.73/16.02 (assume-push @p2905 @t137) % 15.73/16.02 (assume-push @p2906 @t133) % 15.73/16.02 (assume-push @p2907 @t131) % 15.73/16.02 (assume-push @p2908 @t129) % 15.73/16.02 (assume-push @p2909 @t111) % 15.73/16.02 (assume-push @p2910 @t154) % 15.73/16.02 (assume-push @p2911 @t112) % 15.73/16.02 (assume-push @p2912 @t156) % 15.73/16.02 (step @p123 :rule refl :args (tptp.sk_c12)) % 15.73/16.02 (step @p326 :rule cong :premises (@p123 @p2886) :args (@t126)) % 15.73/16.02 (step @p327 :rule symm :premises (@p2886)) % 15.73/16.02 (step @p328 :rule symm :premises (@p2887)) % 15.73/16.02 (step @p329 :rule cong :premises (@p328 @p327) :args (@t124)) % 15.73/16.02 (step @p124 :rule cong :premises (@p77 @p123) :args (@t120)) % 15.73/16.02 (step @p166 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(step-pop @p2928 :rule scope :premises (@p2927)) % 15.73/16.02 (step-pop @p2929 :rule scope :premises (@p2928)) % 15.73/16.02 (step-pop @p2930 :rule scope :premises (@p2929)) % 15.73/16.02 (step-pop @p2931 :rule scope :premises (@p2930)) % 15.73/16.02 (step-pop @p2932 :rule scope :premises (@p2931)) % 15.73/16.02 (step-pop @p2933 :rule scope :premises (@p2932)) % 15.73/16.02 (step-pop @p2934 :rule scope :premises (@p2933)) % 15.73/16.02 (step-pop @p2935 :rule scope :premises (@p2934)) % 15.73/16.02 (step-pop @p2936 :rule scope :premises (@p2935)) % 15.73/16.02 (step-pop @p2937 :rule scope :premises (@p2936)) % 15.73/16.02 (step-pop @p2938 :rule scope :premises (@p2937)) % 15.73/16.02 (step-pop @p2939 :rule scope :premises (@p2938)) % 15.73/16.02 (step-pop @p2940 :rule scope :premises (@p2939)) % 15.73/16.02 (step @p361 :rule process_scope :premises (@p2940) :args (@t165)) % 15.73/16.02 (step @p376 :rule implies_elim :premises (@p361)) % 15.73/16.02 (step @p377 :rule cnf_and_neg :args 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15.73/16.02 (assume-push @p2959 @t110) % 15.73/16.02 (assume-push @p2960 @t109) % 15.73/16.02 (assume-push @p2961 @t125) % 15.73/16.02 (assume-push @p2962 @t123) % 15.73/16.02 (assume-push @p2963 @t121) % 15.73/16.02 (assume-push @p2964 @t156) % 15.73/16.02 (assume-push @p2965 @t112) % 15.73/16.02 (assume-push @p2966 @t154) % 15.73/16.02 (assume-push @p2967 @t111) % 15.73/16.02 (assume-push @p2968 @t129) % 15.73/16.02 (step @p174 :rule symm :premises (@p70)) % 15.73/16.02 (step @p178 :rule refl :args (tptp.sk_c11)) % 15.73/16.02 (step @p179 :rule cong :premises (@p68 @p178) :args (@t132)) % 15.73/16.02 (step @p247 :rule symm :premises (@p179)) % 15.73/16.02 (step @p176 :rule symm :premises (@p68)) % 15.73/16.02 (step @p177 :rule cong :premises (@p176 @p70) :args (@t139)) % 15.73/16.02 (step @p248 :rule symm :premises (@p177)) % 15.73/16.02 (step @p175 :rule cong :premises (@p75 @p174) :args (@t138)) % 15.73/16.02 (step @p249 :rule symm :premises (@p175)) % 15.73/16.02 (step @p250 :rule 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(step-pop @p3044 :rule scope :premises (@p3043)) % 15.73/16.02 (step-pop @p3045 :rule scope :premises (@p3044)) % 15.73/16.02 (step-pop @p3046 :rule scope :premises (@p3045)) % 15.73/16.02 (step-pop @p3047 :rule scope :premises (@p3046)) % 15.73/16.02 (step-pop @p3048 :rule scope :premises (@p3047)) % 15.73/16.02 (step-pop @p3049 :rule scope :premises (@p3048)) % 15.73/16.02 (step-pop @p3050 :rule scope :premises (@p3049)) % 15.73/16.02 (step-pop @p3051 :rule scope :premises (@p3050)) % 15.73/16.02 (step-pop @p3052 :rule scope :premises (@p3051)) % 15.73/16.02 (step @p524 :rule process_scope :premises (@p3052) :args (@t170)) % 15.73/16.02 (step @p539 :rule implies_elim :premises (@p524)) % 15.73/16.02 (step @p540 :rule resolution :premises (@p377 @p539) :args (true @t166)) % 15.73/16.02 (step @p541 :rule reordering :premises (@p540) :args ((or @t149 @t114 @t113 @t163 @t162 @t148 @t147 @t146 @t145 @t160 @t144 @t159 @t170 @t143 @t142))) % 15.73/16.02 (assume-push @p3053 @t129) % 15.73/16.02 (assume-push @p3054 @t109) % 15.73/16.02 (assume-push @p3055 @t110) % 15.73/16.02 (assume-push @p3056 @t111) % 15.73/16.02 (assume-push @p3057 @t112) % 15.73/16.02 (assume-push @p3058 @t131) % 15.73/16.02 (assume-push @p3059 @t121) % 15.73/16.02 (assume-push @p3060 @t133) % 15.73/16.02 (assume-push @p3061 @t135) % 15.73/16.02 (assume-push @p3062 @t154) % 15.73/16.02 (assume-push @p3063 @t123) % 15.73/16.02 (assume-push @p3064 @t156) % 15.73/16.02 (assume-push @p3065 @t125) % 15.73/16.02 (assume-push @p3066 @t137) % 15.73/16.02 (assume-push @p3067 @t121) % 15.73/16.02 (assume-push @p3068 @t135) % 15.73/16.02 (assume-push @p3069 @t123) % 15.73/16.02 (assume-push @p3070 @t125) % 15.73/16.02 (assume-push @p3071 @t110) % 15.73/16.02 (assume-push @p3072 @t109) % 15.73/16.02 (assume-push @p3073 @t137) % 15.73/16.02 (assume-push @p3074 @t133) % 15.73/16.02 (assume-push @p3075 @t131) % 15.73/16.02 (assume-push @p3076 @t129) % 15.73/16.02 (assume-push @p3077 @t111) % 15.73/16.02 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false false false false false false false false false false false false false false false false false false false false false false false true true true true true true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true true false false false false) (@list @t242 @t137 @t125 @t156 @t123 @t154 @t135 @t133 @t121 @t131 @t240 @t137 @t125 @t252 @t156 @t123 @t154 @t135 @t248 @t133 @t121 @t131 @t246 @t239 @t192 @t188 @t184 @t179 @t176 @t173 @t171 @t137 @t125 @t156 @t123 @t154 @t135 @t133 @t121 @t131 @t170 @t137 @t125 @t156 @t123 @t154 @t135 @t133 @t121 @t131 @t168 @t137 @t125 @t156 @t123 @t154 @t135 @t133 @t121 @t131 @t165 @t137 @t125 @t156 @t123 @t154 @t135 @t133 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(@p2626 @p246) :args (@t155)) % 15.88/16.03 (step @p2628 :rule trans :premises (@p78 @p2627 @p337)) % 15.88/16.03 (step @p2629 :rule cong :premises (@p2628 @p2621) :args (@t130)) % 15.88/16.03 (step @p2630 :rule trans :premises (@p70 @p179 @p177 @p175 @p85 @p2624 @p166 @p68 @p2629 @p2623)) % 15.88/16.03 (step @p2631 :rule cong :premises (@p2630 @p2622) :args (@t347)) % 15.88/16.03 (step @p2632 :rule trans :premises (@p2631 @p2615)) % 15.88/16.03 (step @p2633 :rule false_elim :premises (@p2632)) % 15.88/16.03 (step-pop @p4241 :rule scope :premises (@p2633)) % 15.88/16.03 (step-pop @p4242 :rule scope :premises (@p4241)) % 15.88/16.03 (step-pop @p4243 :rule scope :premises (@p4242)) % 15.88/16.03 (step-pop @p4244 :rule scope :premises (@p4243)) % 15.88/16.03 (step-pop @p4245 :rule scope :premises (@p4244)) % 15.88/16.03 (step-pop @p4246 :rule scope :premises (@p4245)) % 15.88/16.03 (step-pop @p4247 :rule scope :premises (@p4246)) % 15.88/16.03 (step-pop @p4248 :rule scope :premises 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@t125) % 15.88/16.03 (assume-push @p4263 @t123) % 15.88/16.03 (assume-push @p4264 @t121) % 15.88/16.03 (assume-push @p4265 @t338) % 15.88/16.03 (assume-push @p4266 @t342) % 15.88/16.03 (assume-push @p4267 @t340) % 15.88/16.03 (assume-push @p4268 @t336) % 15.88/16.03 (assume-push @p4269 @t327) % 15.88/16.03 (assume-push @p4270 @t328) % 15.88/16.03 (assume-push @p4271 @t332) % 15.88/16.03 (step @p174 :rule symm :premises (@p70)) % 15.88/16.03 (step @p178 :rule refl :args (tptp.sk_c11)) % 15.88/16.03 (step @p179 :rule cong :premises (@p68 @p178) :args (@t132)) % 15.88/16.03 (step @p247 :rule symm :premises (@p179)) % 15.88/16.03 (step @p176 :rule symm :premises (@p68)) % 15.88/16.03 (step @p177 :rule cong :premises (@p176 @p70) :args (@t139)) % 15.88/16.03 (step @p248 :rule symm :premises (@p177)) % 15.88/16.03 (step @p175 :rule cong :premises (@p75 @p174) :args (@t138)) % 15.88/16.03 (step @p249 :rule symm :premises (@p175)) % 15.88/16.03 (step @p250 :rule symm :premises (@p85)) % 15.88/16.03 (step @p2668 :rule symm :premises (@p4205)) % 15.88/16.03 (step @p2669 :rule symm :premises (@p4206)) % 15.88/16.03 (step @p2670 :rule cong :premises (@p2669 @p2668) :args (@t124)) % 15.88/16.03 (step @p123 :rule refl :args (tptp.sk_c12)) % 15.88/16.03 (step @p124 :rule cong :premises (@p77 @p123) :args (@t120)) % 15.88/16.03 (step @p2671 :rule trans :premises (@p69 @p124 @p82 @p2670)) % 15.88/16.03 (step @p172 :rule refl :args (@t107)) % 15.88/16.03 (step @p2672 :rule cong :premises (@p172 @p2671) :args (@t134)) % 15.88/16.03 (step @p2673 :rule symm :premises (@p81)) % 15.88/16.03 (step @p2674 :rule symm :premises (@p79)) % 15.88/16.03 (step @p2675 :rule refl :args (tptp.sk_c9)) % 15.88/16.03 (step @p2676 :rule symm :premises (@p80)) % 15.88/16.03 (step @p2677 :rule cong :premises (@p2676 @p2675) :args (@t335)) % 15.88/16.03 (step @p2678 :rule symm :premises (@p83)) % 15.88/16.03 (step @p2679 :rule refl :args (@t27)) % 15.88/16.03 (step @p2680 :rule cong :premises (@p2679 @p4209) :args (@t349)) % 15.88/16.03 (step @p2681 :rule cong :premises (@p4210 @p123) :args (@t329)) % 15.88/16.03 (step @p2682 :rule trans :premises (@p2681 @p2680 @p2678 @p2677 @p2674)) % 15.88/16.03 (step @p2683 :rule refl :args (@t106)) % 15.88/16.03 (step @p2684 :rule cong :premises (@p2683 @p2682) :args (@t330)) % 15.88/16.03 (step @p2685 :rule cong :premises (@p81 @p123) :args (@t120)) % 15.88/16.03 (step @p2686 :rule trans :premises (@p69 @p2685 @p84 @p2684 @p2673 @p75 @p2672 @p250 @p249 @p248 @p247 @p174 @p4208)) % 15.88/16.03 (step-pop @p4272 :rule scope :premises (@p2686)) % 15.88/16.03 (step-pop @p4273 :rule scope :premises (@p4272)) % 15.88/16.03 (step-pop @p4274 :rule scope :premises (@p4273)) % 15.88/16.03 (step-pop @p4275 :rule scope :premises (@p4274)) % 15.88/16.03 (step-pop @p4276 :rule scope :premises (@p4275)) % 15.88/16.03 (step-pop @p4277 :rule scope :premises (@p4276)) % 15.88/16.03 (step-pop @p4278 :rule scope :premises (@p4277)) % 15.88/16.03 (step-pop @p4279 :rule scope :premises (@p4278)) % 15.88/16.03 (step-pop @p4280 :rule scope :premises (@p4279)) % 15.88/16.03 (step-pop @p4281 :rule scope :premises (@p4280)) % 15.88/16.03 (step-pop @p4282 :rule scope :premises (@p4281)) % 15.88/16.03 (step-pop @p4283 :rule scope :premises (@p4282)) % 15.88/16.03 (step-pop @p4284 :rule scope :premises (@p4283)) % 15.88/16.03 (step-pop @p4285 :rule scope :premises (@p4284)) % 15.88/16.03 (step-pop @p4286 :rule scope :premises (@p4285)) % 15.88/16.03 (step-pop @p4287 :rule scope :premises (@p4286)) % 15.88/16.03 (step-pop @p4288 :rule scope :premises (@p4287)) % 15.88/16.03 (step @p2687 :rule process_scope :premises (@p4288) :args (@t346)) % 15.88/16.03 (step @p2705 :rule and_intro :premises (@p4208 @p70 @p68 @p75 @p85 @p4206 @p4205 @p82 @p77 @p69 @p81 @p79 @p80 @p83 @p4209 @p4210 @p84)) % 15.88/16.03 (step @p2706 :rule modus_ponens :premises (@p2705 @p2687)) % 15.88/16.03 (assume-push @p4289 @t152) % 15.88/16.03 (assume-push @p4290 @t338) % 15.88/16.03 (assume-push @p4291 @t342) % 15.88/16.03 (assume-push @p4292 @t340) % 15.88/16.03 (assume-push @p4293 @t336) % 15.88/16.03 (assume-push @p4294 @t327) % 15.88/16.03 (assume-push @p4295 @t328) % 15.88/16.03 (assume-push @p4296 @t332) % 15.88/16.03 (assume-push @p4297 @t121) % 15.88/16.03 (step @p2673 :rule symm :premises (@p81)) % 15.88/16.03 (step @p2674 :rule symm :premises (@p79)) % 15.88/16.03 (step @p2675 :rule refl :args (tptp.sk_c9)) % 15.88/16.03 (step @p2676 :rule symm :premises (@p80)) % 15.88/16.03 (step @p2677 :rule cong :premises (@p2676 @p2675) :args (@t335)) % 15.88/16.03 (step @p2678 :rule symm :premises (@p83)) % 15.88/16.03 (step @p2679 :rule refl :args (@t27)) % 15.88/16.03 (step @p2716 :rule cong :premises (@p2679 @p4209) :args (@t349)) % 15.88/16.03 (step @p123 :rule refl :args (tptp.sk_c12)) % 15.88/16.03 (step @p2717 :rule cong :premises (@p4210 @p123) :args (@t329)) % 15.88/16.03 (step @p2718 :rule trans :premises (@p2717 @p2716 @p2678 @p2677 @p2674)) % 15.88/16.03 (step @p2683 :rule refl :args (@t106)) % 15.88/16.03 (step @p2719 :rule cong :premises (@p2683 @p2718) :args (@t330)) % 15.88/16.03 (step @p2685 :rule cong :premises (@p81 @p123) :args (@t120)) % 15.88/16.03 (step @p2720 :rule trans :premises (@p69 @p2685 @p84 @p2719 @p2673 @p74)) % 15.88/16.03 (step-pop @p4298 :rule scope :premises (@p2720)) % 15.88/16.03 (step-pop @p4299 :rule scope :premises (@p4298)) % 15.88/16.03 (step-pop @p4300 :rule scope :premises (@p4299)) % 15.88/16.03 (step-pop @p4301 :rule scope :premises (@p4300)) % 15.88/16.03 (step-pop @p4302 :rule scope :premises (@p4301)) % 15.88/16.03 (step-pop @p4303 :rule scope :premises (@p4302)) % 15.88/16.03 (step-pop @p4304 :rule scope :premises (@p4303)) % 15.88/16.03 (step-pop @p4305 :rule scope :premises (@p4304)) % 15.88/16.03 (step-pop @p4306 :rule scope :premises (@p4305)) % 15.88/16.03 (step @p2721 :rule process_scope :premises (@p4306) :args (@t157)) % 15.88/16.03 (step @p2731 :rule and_intro :premises (@p74 @p81 @p79 @p80 @p83 @p4209 @p4210 @p84 @p69)) % 15.88/16.03 (step @p2732 :rule modus_ponens :premises (@p2731 @p2721)) % 15.88/16.03 (step @p2733 :rule and_intro :premises (@p68 @p74 @p2732 @p2706 @p4208 @p69 @p2650)) % 15.88/16.03 (step-pop @p4307 :rule scope :premises (@p2733)) % 15.88/16.03 (step-pop @p4308 :rule scope :premises (@p4307)) % 15.88/16.03 (step-pop @p4309 :rule scope :premises (@p4308)) % 15.88/16.03 (step-pop @p4310 :rule scope :premises (@p4309)) % 15.88/16.03 (step-pop @p4311 :rule scope :premises (@p4310)) % 15.88/16.03 (step-pop @p4312 :rule scope :premises (@p4311)) % 15.88/16.03 (step-pop @p4313 :rule scope :premises (@p4312)) % 15.88/16.03 (step-pop @p4314 :rule scope :premises (@p4313)) % 15.88/16.03 (step-pop @p4315 :rule scope :premises (@p4314)) % 15.88/16.03 (step-pop @p4316 :rule scope :premises (@p4315)) % 15.88/16.03 (step-pop @p4317 :rule scope :premises (@p4316)) % 15.88/16.03 (step-pop @p4318 :rule scope :premises (@p4317)) % 15.88/16.03 (step-pop @p4319 :rule scope :premises (@p4318)) % 15.88/16.03 (step-pop @p4320 :rule scope :premises (@p4319)) % 15.88/16.03 (step-pop @p4321 :rule scope :premises (@p4320)) % 15.88/16.03 (step-pop @p4322 :rule scope :premises (@p4321)) % 15.88/16.03 (step-pop @p4323 :rule scope :premises (@p4322)) % 15.88/16.03 (step-pop @p4324 :rule scope :premises (@p4323)) % 15.88/16.03 (step-pop @p4325 :rule scope :premises (@p4324)) % 15.88/16.03 (step-pop @p4326 :rule scope :premises (@p4325)) % 15.88/16.03 (step-pop @p4327 :rule scope :premises (@p4326)) % 15.88/16.03 (step-pop @p4328 :rule scope :premises (@p4327)) % 15.88/16.03 (step @p2734 :rule process_scope :premises (@p4328) :args (@t350)) % 15.88/16.03 (step @p2757 :rule implies_elim :premises (@p2734)) % 15.88/16.03 (step @p2758 :rule resolution :premises (@p2757 @p2571) :args (true @t350)) % 15.88/16.03 (step @p2759 :rule not_and :premises (@p2758)) % 15.88/16.03 (step @p2760 :rule eq_resolve :premises (@p2759 @p2553)) % 15.88/16.03 (step @p2761 :rule reordering :premises (@p2760) :args ((or @t129 @t114 @t113 @t163 @t162 @t345 @t344 @t148 @t147 @t146 @t161 @t145 @t160 @t144 @t159 @t343 @t341 @t339 @t143 @t337 @t333 @t142))) % 15.88/16.03 (step @p2762 false :rule chain_m_resolution :premises (@p2761 @p2535 @p2531 @p2527 @p2524 @p2521 @p2518 @p2515 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p70 @p69 @p68) :args (false (@list false false false false false false true false false false false false false false false false false false false false false false) (@list @t328 @t327 @t112 @t111 @t110 @t109 @t129 @t137 @t332 @t336 @t125 @t338 @t340 @t342 @t156 @t123 @t154 @t135 @t152 @t133 @t121 @t131))) % 15.88/16.03 ) % 15.88/16.03 % SZS output end Proof % 15.88/16.03 % cvc5 exiting %------------------------------------------------------------------------------