%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP330-1 : 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 : n029.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 08:20:30 AM UTC 2026 % Result : Unsatisfiable 16.00s 16.38s % Output : Proof 16.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP330-1 : 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 % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:02:02 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.93/16.18 --- Run --no-e-matching --full-saturate-quant at 6... % 16.00/16.38 % SZS status Unsatisfiable % 16.00/16.38 % SZS output start Proof % 16.00/16.41 ( % 16.00/16.41 (declare-sort $$unsorted 0) % 16.00/16.41 (declare-const tptp.sk_c2 $$unsorted) % 16.00/16.41 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.00/16.41 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.00/16.41 (declare-const tptp.sk_c10 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c3 $$unsorted) % 16.00/16.41 (declare-const tptp.identity $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c4 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c1 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c8 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c5 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c9 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c6 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c11 $$unsorted) % 16.00/16.41 (declare-const tptp.sk_c7 $$unsorted) % 16.00/16.41 (define @t1 () (@var "X" $$unsorted)) % 16.00/16.41 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.00/16.41 (define @t3 () (@list @t1)) % 16.00/16.41 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.00/16.41 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.00/16.41 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.00/16.41 (define @t7 () (@var "Z" $$unsorted)) % 16.00/16.41 (define @t8 () (@var "Y" $$unsorted)) % 16.00/16.41 (define @t9 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 16.00/16.41 (define @t10 () (= @t9 tptp.sk_c10)) % 16.00/16.41 (define @t11 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 16.00/16.41 (define @t12 () (= @t11 tptp.sk_c9)) % 16.00/16.41 (define @t13 () (or @t12 @t10)) % 16.00/16.41 (define @t14 () (tptp.inverse tptp.sk_c3)) % 16.00/16.41 (define @t15 () (= @t14 tptp.sk_c11)) % 16.00/16.41 (define @t16 () (or @t12 @t15)) % 16.00/16.41 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.00/16.41 (define @t18 () (= @t17 tptp.sk_c9)) % 16.00/16.41 (define @t19 () (or @t12 @t18)) % 16.00/16.41 (define @t20 () (tptp.inverse tptp.sk_c4)) % 16.00/16.41 (define @t21 () (= @t20 tptp.sk_c10)) % 16.00/16.41 (define @t22 () (or @t12 @t21)) % 16.00/16.41 (define @t23 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.00/16.41 (define @t24 () (= @t23 tptp.sk_c11)) % 16.00/16.41 (define @t25 () (or @t12 @t24)) % 16.00/16.41 (define @t26 () (tptp.inverse tptp.sk_c5)) % 16.00/16.41 (define @t27 () (= @t26 tptp.sk_c8)) % 16.00/16.41 (define @t28 () (or @t12 @t27)) % 16.00/16.41 (define @t29 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 16.00/16.41 (define @t30 () (= @t29 tptp.sk_c11)) % 16.00/16.41 (define @t31 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) % 16.00/16.41 (define @t32 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) % 16.00/16.41 (define @t33 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) % 16.00/16.41 (define @t34 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 16.00/16.41 (define @t35 () (= @t34 tptp.sk_c11)) % 16.00/16.41 (define @t36 () (or @t35 @t10)) % 16.00/16.41 (define @t37 () (or @t35 @t15)) % 16.00/16.41 (define @t38 () (or @t35 @t21)) % 16.00/16.41 (define @t39 () (or @t35 @t24)) % 16.00/16.41 (define @t40 () (or @t35 @t27)) % 16.00/16.41 (define @t41 () (or @t35 @t30)) % 16.00/16.41 (define @t42 () (tptp.inverse tptp.sk_c1)) % 16.00/16.41 (define @t43 () (= @t42 tptp.sk_c10)) % 16.00/16.41 (define @t44 () (or @t43 @t10)) % 16.00/16.41 (define @t45 () (or @t43 @t15)) % 16.00/16.41 (define @t46 () (or @t43 @t21)) % 16.00/16.41 (define @t47 () (or @t43 @t24)) % 16.00/16.41 (define @t48 () (or @t43 @t27)) % 16.00/16.41 (define @t49 () (or @t43 @t30)) % 16.00/16.41 (define @t50 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.00/16.41 (define @t51 () (= @t50 tptp.sk_c10)) % 16.00/16.41 (define @t52 () (or @t51 @t10)) % 16.00/16.41 (define @t53 () (or @t51 @t15)) % 16.00/16.41 (define @t54 () (tptp.inverse tptp.sk_c2)) % 16.00/16.41 (define @t55 () (= @t54 tptp.sk_c9)) % 16.00/16.41 (define @t56 () (or @t55 @t10)) % 16.00/16.41 (define @t57 () (or @t55 @t15)) % 16.00/16.41 (define @t58 () (@var "X8" $$unsorted)) % 16.00/16.41 (define @t59 () (@var "X6" $$unsorted)) % 16.00/16.41 (define @t60 () (@var "X7" $$unsorted)) % 16.00/16.41 (define @t61 () (tptp.multiply @t60 @t59)) % 16.00/16.41 (define @t62 () (not (= @t61 @t58))) % 16.00/16.41 (define @t63 () (tptp.inverse @t58)) % 16.00/16.41 (define @t64 () (not (= @t63 @t59))) % 16.00/16.41 (define @t65 () (tptp.inverse @t60)) % 16.00/16.41 (define @t66 () (not (= @t65 @t58))) % 16.00/16.41 (define @t67 () (tptp.multiply @t59 tptp.sk_c10)) % 16.00/16.41 (define @t68 () (not (= @t67 tptp.sk_c11))) % 16.00/16.41 (define @t69 () (@var "X5" $$unsorted)) % 16.00/16.41 (define @t70 () (tptp.inverse @t69)) % 16.00/16.41 (define @t71 () (not (= @t70 @t59))) % 16.00/16.41 (define @t72 () (tptp.multiply @t69 @t59)) % 16.00/16.41 (define @t73 () (not (= @t72 tptp.sk_c11))) % 16.00/16.41 (define @t74 () (@var "X2" $$unsorted)) % 16.00/16.41 (define @t75 () (tptp.inverse @t74)) % 16.00/16.41 (define @t76 () (not (= @t75 tptp.sk_c10))) % 16.00/16.41 (define @t77 () (tptp.multiply @t74 tptp.sk_c10)) % 16.00/16.41 (define @t78 () (not (= @t77 tptp.sk_c9))) % 16.00/16.41 (define @t79 () (@var "X1" $$unsorted)) % 16.00/16.41 (define @t80 () (tptp.inverse @t79)) % 16.00/16.41 (define @t81 () (not (= @t80 tptp.sk_c11))) % 16.00/16.41 (define @t82 () (tptp.multiply @t79 tptp.sk_c11)) % 16.00/16.41 (define @t83 () (not (= @t82 tptp.sk_c10))) % 16.00/16.41 (define @t84 () (@var "X4" $$unsorted)) % 16.00/16.41 (define @t85 () (tptp.inverse @t84)) % 16.00/16.41 (define @t86 () (not (= @t85 tptp.sk_c9))) % 16.00/16.41 (define @t87 () (tptp.multiply @t84 tptp.sk_c9)) % 16.00/16.41 (define @t88 () (not (= @t87 tptp.sk_c10))) % 16.00/16.41 (define @t89 () (@var "X3" $$unsorted)) % 16.00/16.41 (define @t90 () (tptp.inverse @t89)) % 16.00/16.41 (define @t91 () (not (= @t90 tptp.sk_c10))) % 16.00/16.41 (define @t92 () (tptp.multiply @t89 tptp.sk_c10)) % 16.00/16.41 (define @t93 () (not (= @t92 tptp.sk_c11))) % 16.00/16.41 (define @t94 () (not @t12)) % 16.00/16.41 (define @t95 () (or @t94 @t93 @t91 @t88 @t86 @t83 @t81 @t78 @t76 @t73 @t71 @t68 @t66 @t64 @t62)) % 16.00/16.41 (define @t96 () (@list @t89 @t84 @t79 @t74 @t69 @t59 @t60 @t58)) % 16.00/16.41 (define @t97 () (forall @t96 @t95)) % 16.00/16.41 (define @t98 () (@list tptp.sk_c3)) % 16.00/16.41 (define @t99 () (@list tptp.sk_c4)) % 16.00/16.41 (define @t100 () (@list tptp.sk_c8)) % 16.00/16.41 (define @t101 () (tptp.inverse tptp.sk_c8)) % 16.00/16.41 (define @t102 () (= tptp.sk_c10 @t42)) % 16.00/16.41 (define @t103 () (= tptp.sk_c10 @t9)) % 16.00/16.41 (define @t104 () (= tptp.sk_c11 @t14)) % 16.00/16.41 (define @t105 () (= tptp.sk_c10 @t20)) % 16.00/16.41 (define @t106 () (= tptp.sk_c11 @t23)) % 16.00/16.41 (define @t107 () (= tptp.sk_c8 @t26)) % 16.00/16.41 (define @t108 () (= tptp.sk_c11 @t29)) % 16.00/16.41 (define @t109 () (not @t104)) % 16.00/16.41 (define @t110 () (not @t103)) % 16.00/16.41 (define @t111 () (or @t110 @t109)) % 16.00/16.41 (define @t112 () (not (= tptp.sk_c11 @t80))) % 16.00/16.41 (define @t113 () (not (= tptp.sk_c10 @t82))) % 16.00/16.41 (define @t114 () (or @t113 @t112)) % 16.00/16.41 (define @t115 () (forall (@list @t79) @t114)) % 16.00/16.41 (define @t116 () (@list tptp.sk_c10)) % 16.00/16.41 (define @t117 () (tptp.multiply tptp.identity tptp.sk_c11)) % 16.00/16.41 (define @t118 () (= tptp.sk_c11 @t117)) % 16.00/16.41 (define @t119 () (tptp.inverse tptp.sk_c10)) % 16.00/16.41 (define @t120 () (tptp.multiply @t119 tptp.sk_c10)) % 16.00/16.41 (define @t121 () (= tptp.identity @t120)) % 16.00/16.41 (define @t122 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.00/16.41 (define @t123 () (= tptp.sk_c8 @t122)) % 16.00/16.41 (define @t124 () (tptp.multiply @t26 tptp.sk_c5)) % 16.00/16.41 (define @t125 () (= tptp.identity @t124)) % 16.00/16.41 (define @t126 () (tptp.multiply @t101 tptp.sk_c8)) % 16.00/16.41 (define @t127 () (= tptp.identity @t126)) % 16.00/16.41 (define @t128 () (tptp.multiply @t26 @t23)) % 16.00/16.41 (define @t129 () (tptp.multiply @t124 tptp.sk_c8)) % 16.00/16.41 (define @t130 () (= @t129 @t128)) % 16.00/16.41 (define @t131 () (tptp.multiply tptp.sk_c8 tptp.sk_c11)) % 16.00/16.41 (define @t132 () (tptp.multiply @t101 @t131)) % 16.00/16.41 (define @t133 () (tptp.multiply @t126 tptp.sk_c11)) % 16.00/16.41 (define @t134 () (= @t133 @t132)) % 16.00/16.41 (define @t135 () (tptp.multiply @t26 tptp.sk_c11)) % 16.00/16.41 (define @t136 () (= tptp.sk_c11 @t120)) % 16.00/16.41 (define @t137 () (and @t106 @t107 @t118 @t121 @t123 @t125 @t127 @t130 @t134)) % 16.00/16.41 (define @t138 () (not @t134)) % 16.00/16.41 (define @t139 () (not @t130)) % 16.00/16.41 (define @t140 () (not @t127)) % 16.00/16.41 (define @t141 () (not @t125)) % 16.00/16.41 (define @t142 () (not @t123)) % 16.00/16.41 (define @t143 () (not @t121)) % 16.00/16.41 (define @t144 () (not @t118)) % 16.00/16.41 (define @t145 () (not @t107)) % 16.00/16.41 (define @t146 () (not @t106)) % 16.00/16.41 (define @t147 () (tptp.multiply tptp.identity tptp.identity)) % 16.00/16.41 (define @t148 () (= tptp.identity @t147)) % 16.00/16.41 (define @t149 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.00/16.41 (define @t150 () (= tptp.sk_c3 @t149)) % 16.00/16.41 (define @t151 () (tptp.multiply @t14 tptp.sk_c3)) % 16.00/16.41 (define @t152 () (= tptp.identity @t151)) % 16.00/16.41 (define @t153 () (tptp.inverse @t20)) % 16.00/16.41 (define @t154 () (tptp.multiply tptp.sk_c3 tptp.identity)) % 16.00/16.41 (define @t155 () (tptp.inverse tptp.identity)) % 16.00/16.41 (define @t156 () (= tptp.sk_c10 @t119)) % 16.00/16.41 (define @t157 () (and @t103 @t104 @t105 @t106 @t107 @t148 @t118 @t150 @t152 @t123 @t125 @t127 @t130 @t134)) % 16.00/16.41 (define @t158 () (not @t152)) % 16.00/16.41 (define @t159 () (not @t150)) % 16.00/16.41 (define @t160 () (not @t148)) % 16.00/16.41 (define @t161 () (not @t105)) % 16.00/16.41 (define @t162 () (= tptp.sk_c9 @t11)) % 16.00/16.41 (define @t163 () (tptp.multiply @t20 tptp.sk_c11)) % 16.00/16.41 (define @t164 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 16.00/16.41 (define @t165 () (= tptp.sk_c9 @t164)) % 16.00/16.41 (define @t166 () (and @t162 @t103 @t104 @t105 @t106 @t107 @t148 @t118 @t150 @t152 @t123 @t125 @t127 @t130 @t134)) % 16.00/16.41 (define @t167 () (not @t162)) % 16.00/16.41 (define @t168 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.00/16.41 (define @t169 () (= tptp.sk_c9 @t168)) % 16.00/16.41 (define @t170 () (tptp.multiply tptp.sk_c11 tptp.sk_c9)) % 16.00/16.41 (define @t171 () (tptp.multiply tptp.identity @t170)) % 16.00/16.41 (define @t172 () (tptp.multiply @t117 tptp.sk_c9)) % 16.00/16.41 (define @t173 () (= @t172 @t171)) % 16.00/16.41 (define @t174 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) % 16.00/16.41 (define @t175 () (and @t162 @t103 @t104 @t105 @t106 @t107 @t148 @t118 @t169 @t150 @t152 @t123 @t125 @t173 @t127 @t130 @t134)) % 16.00/16.41 (define @t176 () (not @t169)) % 16.00/16.41 (define @t177 () (= tptp.sk_c10 @t11)) % 16.00/16.41 (define @t178 () (= tptp.sk_c9 @t119)) % 16.00/16.41 (define @t179 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c10 @t119))) % 16.00/16.41 (define @t180 () (= tptp.sk_c10 @t101)) % 16.00/16.41 (define @t181 () (and @t103 @t104 @t106 @t107 @t108 @t148 @t118 @t150 @t152 @t123 @t125 @t127 @t130 @t134)) % 16.00/16.41 (define @t182 () (not @t108)) % 16.00/16.41 (define @t183 () (not @t156)) % 16.00/16.41 (define @t184 () (not @t165)) % 16.00/16.41 (define @t185 () (or @t184 @t183)) % 16.00/16.41 (define @t186 () (not @t178)) % 16.00/16.41 (define @t187 () (not @t174)) % 16.00/16.41 (define @t188 () (or @t187 @t186)) % 16.00/16.41 (define @t189 () (not @t180)) % 16.00/16.41 (define @t190 () (or @t182 @t189)) % 16.00/16.41 (define @t191 () (not (= tptp.sk_c10 @t75))) % 16.00/16.41 (define @t192 () (not (= tptp.sk_c9 @t77))) % 16.00/16.41 (define @t193 () (or @t192 @t191)) % 16.00/16.41 (define @t194 () (forall (@list @t74) @t193)) % 16.00/16.41 (define @t195 () (not (= tptp.sk_c9 @t85))) % 16.00/16.41 (define @t196 () (not (= tptp.sk_c10 @t87))) % 16.00/16.41 (define @t197 () (or @t196 @t195)) % 16.00/16.41 (define @t198 () (forall (@list @t84) @t197)) % 16.00/16.41 (define @t199 () (not (= tptp.sk_c10 @t90))) % 16.00/16.41 (define @t200 () (not (= tptp.sk_c11 @t92))) % 16.00/16.41 (define @t201 () (or @t200 @t199)) % 16.00/16.41 (define @t202 () (forall (@list @t89) @t201)) % 16.00/16.41 (define @t203 () (tptp.multiply @t60 @t70)) % 16.00/16.41 (define @t204 () (not (= @t65 @t203))) % 16.00/16.41 (define @t205 () (not (= @t70 (tptp.inverse @t65)))) % 16.00/16.41 (define @t206 () (not (= tptp.sk_c11 (tptp.multiply @t70 tptp.sk_c10)))) % 16.00/16.41 (define @t207 () (not (= tptp.sk_c11 (tptp.multiply @t69 @t70)))) % 16.00/16.41 (define @t208 () (or @t207 @t206 @t205 @t204)) % 16.00/16.41 (define @t209 () (not (= @t65 @t65))) % 16.00/16.41 (define @t210 () (or @t207 @t206 @t209 @t205 @t204)) % 16.00/16.41 (define @t211 () (@list @t69 @t60)) % 16.00/16.41 (define @t212 () (not (= @t58 @t203))) % 16.00/16.41 (define @t213 () (not (= @t70 @t63))) % 16.00/16.41 (define @t214 () (not (= @t58 @t65))) % 16.00/16.41 (define @t215 () (or @t214 @t207 @t206 @t214 @t213 @t212)) % 16.00/16.41 (define @t216 () (@list @t58)) % 16.00/16.41 (define @t217 () (or @t207 @t206 @t214 @t213 @t212)) % 16.00/16.41 (define @t218 () (forall @t216 @t217)) % 16.00/16.41 (define @t219 () (forall @t211 @t218)) % 16.00/16.41 (define @t220 () (@list @t69 @t60 @t58)) % 16.00/16.41 (define @t221 () (not (= @t70 @t70))) % 16.00/16.41 (define @t222 () (or @t207 @t221 @t206 @t214 @t213 @t212)) % 16.00/16.41 (define @t223 () (not (= @t58 @t61))) % 16.00/16.41 (define @t224 () (not (= @t59 @t63))) % 16.00/16.41 (define @t225 () (not (= tptp.sk_c11 @t67))) % 16.00/16.41 (define @t226 () (not (= @t59 @t70))) % 16.00/16.41 (define @t227 () (not (= tptp.sk_c11 @t72))) % 16.00/16.41 (define @t228 () (or @t226 @t227 @t226 @t225 @t214 @t224 @t223)) % 16.00/16.41 (define @t229 () (@list @t59)) % 16.00/16.41 (define @t230 () (or @t227 @t226 @t225 @t214 @t224 @t223)) % 16.00/16.41 (define @t231 () (forall @t229 @t230)) % 16.00/16.41 (define @t232 () (forall @t220 @t231)) % 16.00/16.41 (define @t233 () (forall (@list @t69 @t60 @t58 @t59) @t230)) % 16.00/16.41 (define @t234 () (forall (@list @t69 @t59 @t60 @t58) @t230)) % 16.00/16.41 (define @t235 () (or @t167 @t202 @t198 @t115 @t194 @t234)) % 16.00/16.41 (define @t236 () (or @t167 @t201 @t197 @t114 @t193 @t230)) % 16.00/16.41 (define @t237 () (or @t167 @t200 @t199 @t196 @t195 @t113 @t112 @t192 @t191 @t227 @t226 @t225 @t214 @t224 @t223)) % 16.00/16.41 (define @t238 () (forall @t211 @t208)) % 16.00/16.41 (define @t239 () (= @t14 (tptp.multiply tptp.sk_c3 @t119))) % 16.00/16.41 (define @t240 () (not @t239)) % 16.00/16.41 (define @t241 () (= @t119 (tptp.inverse @t14))) % 16.00/16.41 (define @t242 () (not @t241)) % 16.00/16.41 (define @t243 () (not @t136)) % 16.00/16.41 (define @t244 () (not @t179)) % 16.00/16.41 (define @t245 () (or @t244 @t243 @t242 @t240)) % 16.00/16.41 (define @t246 () (not @t102)) % 16.00/16.41 (define @t247 () (= tptp.sk_c11 @t34)) % 16.00/16.41 (define @t248 () (not @t247)) % 16.00/16.41 (define @t249 () (or @t248 @t246)) % 16.00/16.41 (define @t250 () (@list tptp.sk_c1)) % 16.00/16.41 (define @t251 () (= tptp.sk_c9 @t54)) % 16.00/16.41 (define @t252 () (not @t251)) % 16.00/16.41 (define @t253 () (= tptp.sk_c10 @t50)) % 16.00/16.41 (define @t254 () (not @t253)) % 16.00/16.41 (define @t255 () (or @t254 @t252)) % 16.00/16.41 (define @t256 () (@list tptp.sk_c2)) % 16.00/16.41 (define @t257 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.00/16.41 (define @t258 () (= tptp.sk_c10 @t257)) % 16.00/16.41 (define @t259 () (tptp.multiply @t42 tptp.sk_c1)) % 16.00/16.41 (define @t260 () (= tptp.identity @t259)) % 16.00/16.41 (define @t261 () (tptp.multiply @t42 @t34)) % 16.00/16.41 (define @t262 () (= (tptp.multiply @t259 tptp.sk_c10) @t261)) % 16.00/16.41 (define @t263 () (tptp.multiply @t119 @t11)) % 16.00/16.41 (define @t264 () (tptp.multiply @t120 tptp.sk_c11)) % 16.00/16.41 (define @t265 () (= @t264 @t263)) % 16.00/16.41 (define @t266 () (tptp.multiply tptp.sk_c9 tptp.sk_c1)) % 16.00/16.41 (define @t267 () (tptp.multiply tptp.sk_c2 @t266)) % 16.00/16.41 (define @t268 () (tptp.multiply @t50 tptp.sk_c1)) % 16.00/16.41 (define @t269 () (= @t268 @t267)) % 16.00/16.41 (define @t270 () (tptp.multiply @t54 tptp.sk_c2)) % 16.00/16.41 (define @t271 () (= tptp.identity @t270)) % 16.00/16.41 (define @t272 () (tptp.multiply tptp.sk_c2 tptp.sk_c11)) % 16.00/16.41 (define @t273 () (tptp.multiply @t54 @t272)) % 16.00/16.41 (define @t274 () (tptp.multiply @t270 tptp.sk_c11)) % 16.00/16.41 (define @t275 () (= @t274 @t273)) % 16.00/16.41 (define @t276 () (tptp.multiply tptp.identity @t257)) % 16.00/16.41 (define @t277 () (tptp.multiply @t147 tptp.sk_c10)) % 16.00/16.41 (define @t278 () (tptp.multiply tptp.sk_c9 tptp.identity)) % 16.00/16.41 (define @t279 () (tptp.multiply @t168 tptp.sk_c11)) % 16.00/16.41 (define @t280 () (tptp.multiply tptp.sk_c9 tptp.sk_c11)) % 16.00/16.41 (define @t281 () (= tptp.sk_c10 @t272)) % 16.00/16.41 (define @t282 () (and @t162 @t247 @t102 @t253 @t251 @t148 @t118 @t258 @t121 @t169 @t260 @t262 @t265 @t269 @t271 @t275)) % 16.00/16.41 (define @t283 () (not @t275)) % 16.00/16.41 (define @t284 () (not @t271)) % 16.00/16.41 (define @t285 () (not @t269)) % 16.00/16.41 (define @t286 () (not @t265)) % 16.00/16.41 (define @t287 () (not @t262)) % 16.00/16.41 (define @t288 () (not @t260)) % 16.00/16.41 (define @t289 () (not @t258)) % 16.00/16.41 (define @t290 () (= tptp.sk_c11 @t54)) % 16.00/16.41 (define @t291 () (not @t290)) % 16.00/16.41 (define @t292 () (not @t281)) % 16.00/16.41 (define @t293 () (or @t292 @t291)) % 16.00/16.41 (define @t294 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.00/16.41 (define @t295 () (= tptp.sk_c2 @t294)) % 16.00/16.41 (define @t296 () (tptp.inverse tptp.sk_c9)) % 16.00/16.41 (define @t297 () (and @t162 @t247 @t102 @t253 @t251 @t148 @t118 @t258 @t121 @t169 @t295 @t260 @t262 @t265 @t269 @t271 @t275)) % 16.00/16.41 (define @t298 () (and @t247 @t102 @t148 @t118 @t258 @t121 @t260 @t262 @t265)) % 16.00/16.41 (define @t299 () (= @t119 (tptp.inverse @t42))) % 16.00/16.41 (define @t300 () (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) % 16.00/16.41 (define @t301 () (= @t42 (tptp.multiply tptp.sk_c1 @t119))) % 16.00/16.41 (define @t302 () (and @t162 @t247 @t102 @t253 @t251 @t148 @t118 @t258 @t121 @t169 @t300 @t295 @t260 @t262 @t265 @t269 @t271 @t275)) % 16.00/16.41 (define @t303 () (not @t301)) % 16.00/16.41 (define @t304 () (not @t299)) % 16.00/16.41 (define @t305 () (or @t244 @t243 @t304 @t303)) % 16.00/16.41 (define @t306 () (and @t162 @t103 @t104 @t247 @t102 @t148 @t118 @t258 @t121 @t169 @t150 @t152 @t260 @t262 @t265)) % 16.00/16.41 (define @t307 () (and @t162 @t103 @t104 @t247 @t102 @t148 @t118 @t258 @t121 @t150 @t152 @t260 @t262 @t265)) % 16.00/16.41 (define @t308 () (and @t162 @t103 @t104 @t247 @t102 @t253 @t148 @t118 @t258 @t121 @t150 @t152 @t260 @t262 @t265)) % 16.00/16.41 (define @t309 () (@list true)) % 16.00/16.41 (define @t310 () (@list @t162)) % 16.00/16.41 (define @t311 () (= tptp.sk_c9 @t17)) % 16.00/16.41 (define @t312 () (= tptp.identity (tptp.multiply @t20 tptp.sk_c4))) % 16.00/16.41 (define @t313 () (not @t312)) % 16.00/16.41 (define @t314 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.00/16.41 (define @t315 () (= tptp.sk_c4 @t314)) % 16.00/16.41 (define @t316 () (not @t315)) % 16.00/16.41 (define @t317 () (not @t311)) % 16.00/16.41 (define @t318 () (and @t184 @t165)) % 16.00/16.41 (assume @p1 @t4) % 16.00/16.41 (assume @p2 @t6) % 16.00/16.41 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.00/16.41 (assume @p4 @t13) % 16.00/16.41 (assume @p5 @t16) % 16.00/16.41 (assume @p6 @t19) % 16.00/16.41 (assume @p7 @t22) % 16.00/16.41 (assume @p8 @t25) % 16.00/16.41 (assume @p9 @t28) % 16.00/16.41 (assume @p10 (or @t12 @t30)) % 16.00/16.41 (assume @p11 (or @t12 @t31)) % 16.00/16.41 (assume @p12 (or @t12 @t32)) % 16.00/16.41 (assume @p13 (or @t12 @t33)) % 16.00/16.41 (assume @p14 @t36) % 16.00/16.41 (assume @p15 @t37) % 16.00/16.41 (assume @p16 (or @t35 @t18)) % 16.00/16.41 (assume @p17 @t38) % 16.00/16.41 (assume @p18 @t39) % 16.00/16.41 (assume @p19 @t40) % 16.00/16.41 (assume @p20 @t41) % 16.00/16.41 (assume @p21 (or @t35 @t31)) % 16.00/16.41 (assume @p22 (or @t35 @t32)) % 16.00/16.41 (assume @p23 (or @t35 @t33)) % 16.00/16.41 (assume @p24 @t44) % 16.00/16.41 (assume @p25 @t45) % 16.00/16.41 (assume @p26 (or @t43 @t18)) % 16.00/16.41 (assume @p27 @t46) % 16.00/16.41 (assume @p28 @t47) % 16.00/16.41 (assume @p29 @t48) % 16.00/16.41 (assume @p30 @t49) % 16.00/16.41 (assume @p31 (or @t43 @t31)) % 16.00/16.41 (assume @p32 (or @t43 @t32)) % 16.00/16.41 (assume @p33 (or @t43 @t33)) % 16.00/16.41 (assume @p34 @t52) % 16.00/16.41 (assume @p35 @t53) % 16.00/16.41 (assume @p36 (or @t51 @t18)) % 16.00/16.41 (assume @p37 (or @t51 @t21)) % 16.00/16.41 (assume @p38 (or @t51 @t24)) % 16.00/16.41 (assume @p39 (or @t51 @t27)) % 16.00/16.41 (assume @p40 (or @t51 @t30)) % 16.00/16.41 (assume @p41 (or @t51 @t31)) % 16.00/16.41 (assume @p42 (or @t51 @t32)) % 16.00/16.41 (assume @p43 (or @t51 @t33)) % 16.00/16.41 (assume @p44 @t56) % 16.00/16.41 (assume @p45 @t57) % 16.00/16.41 (assume @p46 (or @t55 @t18)) % 16.00/16.41 (assume @p47 (or @t55 @t21)) % 16.00/16.41 (assume @p48 (or @t55 @t24)) % 16.00/16.41 (assume @p49 (or @t55 @t27)) % 16.00/16.41 (assume @p50 (or @t55 @t30)) % 16.00/16.41 (assume @p51 (or @t55 @t31)) % 16.00/16.41 (assume @p52 (or @t55 @t32)) % 16.00/16.41 (assume @p53 (or @t55 @t33)) % 16.00/16.41 (assume @p54 @t97) % 16.00/16.41 (step @p55 :rule eq-symm :args (@t2 @t1)) % 16.00/16.41 (step @p56 :rule cong :premises (@p55) :args (@t4)) % 16.00/16.41 (step @p57 :rule eq_resolve :premises (@p1 @p56)) % 16.00/16.41 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.identity))) % 16.00/16.41 (step @p59 :rule instantiate :premises (@p57) :args ((@list tptp.sk_c11))) % 16.00/16.41 (step @p60 :rule instantiate :premises (@p57) :args (@t98)) % 16.00/16.41 (step @p61 :rule instantiate :premises (@p57) :args (@t99)) % 16.00/16.41 (step @p62 :rule eq-symm :args (@t5 tptp.identity)) % 16.00/16.41 (step @p63 :rule cong :premises (@p62) :args (@t6)) % 16.00/16.41 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 16.00/16.41 (step @p65 :rule instantiate :premises (@p64) :args (@t98)) % 16.00/16.41 (step @p66 :rule instantiate :premises (@p64) :args (@t99)) % 16.00/16.41 (step @p67 :rule instantiate :premises (@p57) :args (@t100)) % 16.00/16.41 (step @p68 :rule instantiate :premises (@p64) :args ((@list tptp.sk_c5))) % 16.00/16.41 (step @p69 :rule instantiate :premises (@p64) :args (@t100)) % 16.00/16.41 (step @p70 :rule instantiate :premises (@p3) :args ((@list @t26 tptp.sk_c5 tptp.sk_c8))) % 16.00/16.41 (step @p71 :rule instantiate :premises (@p3) :args ((@list @t101 tptp.sk_c8 tptp.sk_c11))) % 16.00/16.41 (step @p72 :rule eq-symm :args (@t9 tptp.sk_c10)) % 16.00/16.41 (step @p73 :rule eq-symm :args (@t42 tptp.sk_c10)) % 16.00/16.41 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t44)) % 16.00/16.41 (step @p75 :rule eq_resolve :premises (@p24 @p74)) % 16.00/16.41 (step @p76 :rule reordering :premises (@p75) :args ((or @t103 @t102))) % 16.00/16.41 (step @p77 :rule eq-symm :args (@t14 tptp.sk_c11)) % 16.00/16.41 (step @p78 :rule nary_cong :premises (@p73 @p77) :args (@t45)) % 16.00/16.41 (step @p79 :rule eq_resolve :premises (@p25 @p78)) % 16.00/16.41 (step @p80 :rule reordering :premises (@p79) :args ((or @t104 @t102))) % 16.00/16.41 (step @p81 :rule eq-symm :args (@t20 tptp.sk_c10)) % 16.00/16.41 (step @p82 :rule nary_cong :premises (@p73 @p81) :args (@t46)) % 16.00/16.41 (step @p83 :rule eq_resolve :premises (@p27 @p82)) % 16.00/16.41 (step @p84 :rule reordering :premises (@p83) :args ((or @t105 @t102))) % 16.00/16.41 (step @p85 :rule eq-symm :args (@t23 tptp.sk_c11)) % 16.00/16.41 (step @p86 :rule nary_cong :premises (@p73 @p85) :args (@t47)) % 16.00/16.41 (step @p87 :rule eq_resolve :premises (@p28 @p86)) % 16.00/16.41 (step @p88 :rule reordering :premises (@p87) :args ((or @t106 @t102))) % 16.00/16.41 (step @p89 :rule eq-symm :args (@t26 tptp.sk_c8)) % 16.00/16.41 (step @p90 :rule nary_cong :premises (@p73 @p89) :args (@t48)) % 16.00/16.41 (step @p91 :rule eq_resolve :premises (@p29 @p90)) % 16.00/16.41 (step @p92 :rule reordering :premises (@p91) :args ((or @t107 @t102))) % 16.00/16.41 (step @p93 :rule eq-symm :args (@t29 tptp.sk_c11)) % 16.00/16.41 (step @p94 :rule nary_cong :premises (@p73 @p93) :args (@t49)) % 16.00/16.41 (step @p95 :rule eq_resolve :premises (@p30 @p94)) % 16.00/16.41 (step @p96 :rule reordering :premises (@p95) :args ((or @t108 @t102))) % 16.00/16.41 (step @p97 :rule cnf_or_pos :args (@t111)) % 16.00/16.41 (step @p98 :rule reordering :premises (@p97) :args ((or @t110 @t109 (not @t111)))) % 16.00/16.41 (assume-push @p2764 @t115) % 16.00/16.41 (step @p100 :rule instantiate :premises (@p2764) :args (@t98)) % 16.00/16.41 (step-pop @p2765 :rule scope :premises (@p100)) % 16.00/16.41 (step @p101 :rule process_scope :premises (@p2765) :args (@t111)) % 16.00/16.41 (step @p103 :rule implies_elim :premises (@p101)) % 16.00/16.41 (step @p104 :rule instantiate :premises (@p64) :args (@t116)) % 16.00/16.41 (assume-push @p2766 @t106) % 16.00/16.41 (assume-push @p2767 @t107) % 16.00/16.41 (assume-push @p2768 @t118) % 16.00/16.41 (assume-push @p2769 @t121) % 16.00/16.41 (assume-push @p2770 @t123) % 16.00/16.41 (assume-push @p2771 @t125) % 16.00/16.41 (assume-push @p2772 @t127) % 16.00/16.41 (assume-push @p2773 @t130) % 16.00/16.41 (assume-push @p2774 @t134) % 16.00/16.41 (assume-push @p2775 @t121) % 16.00/16.41 (assume-push @p2776 @t127) % 16.00/16.41 (assume-push @p2777 @t123) % 16.00/16.41 (assume-push @p2778 @t125) % 16.00/16.41 (assume-push @p2779 @t130) % 16.00/16.41 (assume-push @p2780 @t106) % 16.00/16.41 (assume-push @p2781 @t107) % 16.00/16.41 (assume-push @p2782 @t134) % 16.00/16.41 (assume-push @p2783 @t118) % 16.00/16.41 (step @p123 :rule symm :premises (@p69)) % 16.00/16.41 (step @p124 :rule symm :premises (@p67)) % 16.00/16.41 (step @p125 :rule refl :args (tptp.sk_c8)) % 16.00/16.41 (step @p126 :rule symm :premises (@p68)) % 16.00/16.41 (step @p127 :rule cong :premises (@p126 @p125) :args (@t129)) % 16.00/16.41 (step @p128 :rule symm :premises (@p70)) % 16.00/16.41 (step @p129 :rule refl :args (@t26)) % 16.00/16.41 (step @p130 :rule cong :premises (@p129 @p2766) :args (@t135)) % 16.00/16.41 (step @p131 :rule refl :args (tptp.sk_c11)) % 16.00/16.41 (step @p132 :rule cong :premises (@p2767 @p131) :args (@t131)) % 16.00/16.41 (step @p133 :rule trans :premises (@p132 @p130 @p128 @p127 @p124)) % 16.00/16.41 (step @p134 :rule refl :args (@t101)) % 16.00/16.41 (step @p135 :rule cong :premises (@p134 @p133) :args (@t132)) % 16.00/16.41 (step @p136 :rule cong :premises (@p69 @p131) :args (@t117)) % 16.00/16.41 (step @p137 :rule trans :premises (@p59 @p136 @p71 @p135 @p123 @p104)) % 16.00/16.41 (step-pop @p2784 :rule scope :premises (@p137)) % 16.00/16.41 (step-pop @p2785 :rule scope :premises (@p2784)) % 16.00/16.41 (step-pop @p2786 :rule scope :premises (@p2785)) % 16.00/16.41 (step-pop @p2787 :rule scope :premises (@p2786)) % 16.00/16.41 (step-pop @p2788 :rule scope :premises (@p2787)) % 16.00/16.41 (step-pop @p2789 :rule scope :premises (@p2788)) % 16.00/16.41 (step-pop @p2790 :rule scope :premises (@p2789)) % 16.00/16.41 (step-pop @p2791 :rule scope :premises (@p2790)) % 16.00/16.41 (step-pop @p2792 :rule scope :premises (@p2791)) % 16.00/16.41 (step @p138 :rule process_scope :premises (@p2792) :args (@t136)) % 16.00/16.41 (step @p148 :rule and_intro :premises (@p104 @p69 @p67 @p68 @p70 @p2766 @p2767 @p71 @p59)) % 16.00/16.41 (step @p149 :rule modus_ponens :premises (@p148 @p138)) % 16.00/16.41 (step-pop @p2793 :rule scope :premises (@p149)) % 16.00/16.41 (step-pop @p2794 :rule scope :premises (@p2793)) % 16.00/16.41 (step-pop @p2795 :rule scope :premises (@p2794)) % 16.00/16.41 (step-pop @p2796 :rule scope :premises (@p2795)) % 16.00/16.41 (step-pop @p2797 :rule scope :premises (@p2796)) % 16.00/16.41 (step-pop @p2798 :rule scope :premises (@p2797)) % 16.00/16.41 (step-pop @p2799 :rule scope :premises (@p2798)) % 16.00/16.41 (step-pop @p2800 :rule scope :premises (@p2799)) % 16.00/16.41 (step-pop @p2801 :rule scope :premises (@p2800)) % 16.00/16.41 (step @p150 :rule process_scope :premises (@p2801) :args (@t136)) % 16.00/16.41 (step @p160 :rule implies_elim :premises (@p150)) % 16.00/16.41 (step @p161 :rule cnf_and_neg :args (@t137)) % 16.00/16.41 (step @p162 :rule resolution :premises (@p161 @p160) :args (true @t137)) % 16.00/16.41 (step @p163 :rule reordering :premises (@p162) :args ((or @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t136 @t139 @t138))) % 16.00/16.41 (assume-push @p2802 @t103) % 16.00/16.41 (assume-push @p2803 @t104) % 16.00/16.41 (assume-push @p2804 @t105) % 16.00/16.41 (assume-push @p2805 @t106) % 16.00/16.41 (assume-push @p2806 @t107) % 16.00/16.41 (assume-push @p2807 @t148) % 16.00/16.41 (assume-push @p2808 @t118) % 16.00/16.41 (assume-push @p2809 @t150) % 16.00/16.41 (assume-push @p2810 @t152) % 16.00/16.41 (assume-push @p2811 @t123) % 16.00/16.41 (assume-push @p2812 @t125) % 16.00/16.41 (assume-push @p2813 @t127) % 16.00/16.41 (assume-push @p2814 @t130) % 16.00/16.41 (assume-push @p2815 @t134) % 16.00/16.41 (assume-push @p2816 @t105) % 16.00/16.41 (assume-push @p2817 @t103) % 16.00/16.41 (assume-push @p2818 @t118) % 16.00/16.41 (assume-push @p2819 @t127) % 16.00/16.41 (assume-push @p2820 @t134) % 16.00/16.41 (assume-push @p2821 @t107) % 16.00/16.41 (assume-push @p2822 @t106) % 16.00/16.41 (assume-push @p2823 @t130) % 16.00/16.41 (assume-push @p2824 @t125) % 16.00/16.41 (assume-push @p2825 @t123) % 16.00/16.41 (assume-push @p2826 @t150) % 16.00/16.41 (assume-push @p2827 @t104) % 16.00/16.41 (assume-push @p2828 @t152) % 16.00/16.41 (assume-push @p2829 @t148) % 16.00/16.41 (step @p192 :rule symm :premises 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@t238) % 16.00/16.42 (step @p868 :rule instantiate :premises (@p3196) :args ((@list tptp.sk_c10 tptp.sk_c3))) % 16.00/16.42 (step-pop @p3197 :rule scope :premises (@p868)) % 16.00/16.42 (step @p869 :rule process_scope :premises (@p3197) :args (@t245)) % 16.00/16.42 (step @p871 :rule implies_elim :premises (@p869)) % 16.00/16.42 (assume-push @p3198 @t103) % 16.00/16.42 (assume-push @p3199 @t104) % 16.00/16.42 (assume-push @p3200 @t105) % 16.00/16.42 (assume-push @p3201 @t106) % 16.00/16.42 (assume-push @p3202 @t107) % 16.00/16.42 (assume-push @p3203 @t148) % 16.00/16.42 (assume-push @p3204 @t118) % 16.00/16.42 (assume-push @p3205 @t150) % 16.00/16.42 (assume-push @p3206 @t152) % 16.00/16.42 (assume-push @p3207 @t123) % 16.00/16.42 (assume-push @p3208 @t125) % 16.00/16.42 (assume-push @p3209 @t127) % 16.00/16.42 (assume-push @p3210 @t130) % 16.00/16.42 (assume-push @p3211 @t134) % 16.00/16.42 (assume-push @p3212 @t150) % 16.00/16.42 (assume-push @p3213 @t127) % 16.00/16.42 (assume-push @p3214 @t123) % 16.00/16.42 (assume-push @p3215 @t125) % 16.00/16.42 (assume-push @p3216 @t130) % 16.00/16.42 (assume-push @p3217 @t106) % 16.00/16.42 (assume-push @p3218 @t107) % 16.00/16.42 (assume-push @p3219 @t134) % 16.00/16.42 (assume-push @p3220 @t118) % 16.00/16.42 (assume-push @p3221 @t104) % 16.00/16.42 (assume-push @p3222 @t152) % 16.00/16.42 (assume-push @p3223 @t105) % 16.00/16.42 (assume-push @p3224 @t103) % 16.00/16.42 (assume-push @p3225 @t148) % 16.00/16.42 (step @p900 :rule symm :premises (@p3200)) % 16.00/16.42 (step @p901 :rule cong :premises (@p900) :args (@t153)) % 16.00/16.42 (step @p902 :rule symm :premises (@p3198)) % 16.00/16.42 (step @p195 :rule symm :premises (@p59)) % 16.00/16.42 (step @p131 :rule refl :args (tptp.sk_c11)) % 16.00/16.42 (step @p123 :rule symm :premises (@p69)) % 16.00/16.42 (step @p196 :rule cong :premises (@p123 @p131) :args (@t133)) % 16.00/16.42 (step @p197 :rule symm :premises (@p71)) % 16.00/16.42 (step @p903 :rule symm :premises 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16.00/16.42 (step @p912 :rule symm :premises (@p3199)) % 16.00/16.42 (step @p913 :rule trans :premises (@p912 @p911)) % 16.00/16.42 (step @p914 :rule cong :premises (@p913 @p206) :args (@t151)) % 16.00/16.42 (step @p915 :rule trans :premises (@p65 @p914 @p209)) % 16.00/16.42 (step @p916 :rule cong :premises (@p915 @p208) :args (@t147)) % 16.00/16.42 (step @p917 :rule trans :premises (@p58 @p916 @p910 @p902 @p3200)) % 16.00/16.42 (step @p918 :rule cong :premises (@p917) :args (@t155)) % 16.00/16.42 (step @p919 :rule symm :premises (@p915)) % 16.00/16.42 (step @p920 :rule cong :premises (@p919) :args (@t14)) % 16.00/16.42 (step @p921 :rule trans :premises (@p69 @p908 @p197 @p196 @p195 @p3199 @p920 @p918 @p901)) % 16.00/16.42 (step @p922 :rule cong :premises (@p915 @p921) :args (@t147)) % 16.00/16.42 (step @p923 :rule symm :premises (@p908)) % 16.00/16.42 (step @p136 :rule cong :premises (@p69 @p131) :args (@t117)) % 16.00/16.42 (step @p924 :rule trans :premises (@p912 @p59 @p136 @p71 @p923 @p123 @p58 @p922)) % 16.00/16.42 (step-pop @p3226 :rule scope :premises (@p924)) % 16.00/16.42 (step-pop @p3227 :rule scope :premises (@p3226)) % 16.00/16.42 (step-pop @p3228 :rule scope :premises (@p3227)) % 16.00/16.42 (step-pop @p3229 :rule scope :premises (@p3228)) % 16.00/16.42 (step-pop @p3230 :rule scope :premises (@p3229)) % 16.00/16.42 (step-pop @p3231 :rule scope :premises (@p3230)) % 16.00/16.42 (step-pop @p3232 :rule scope :premises (@p3231)) % 16.00/16.42 (step-pop @p3233 :rule scope :premises (@p3232)) % 16.00/16.42 (step-pop @p3234 :rule scope :premises (@p3233)) % 16.00/16.42 (step-pop @p3235 :rule scope :premises (@p3234)) % 16.00/16.42 (step-pop @p3236 :rule scope :premises (@p3235)) % 16.00/16.42 (step-pop @p3237 :rule scope :premises (@p3236)) % 16.00/16.42 (step-pop @p3238 :rule scope :premises (@p3237)) % 16.00/16.42 (step-pop @p3239 :rule scope :premises (@p3238)) % 16.00/16.42 (step @p925 :rule process_scope :premises (@p3239) :args (@t239)) % 16.00/16.42 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(@p3251)) % 16.00/16.42 (step-pop @p3253 :rule scope :premises (@p3252)) % 16.00/16.42 (step @p942 :rule process_scope :premises (@p3253) :args (@t239)) % 16.00/16.42 (step @p957 :rule implies_elim :premises (@p942)) % 16.00/16.42 (step @p958 :rule resolution :premises (@p257 @p957) :args (true @t157)) % 16.00/16.42 (assume-push @p3254 @t103) % 16.00/16.42 (assume-push @p3255 @t104) % 16.00/16.42 (assume-push @p3256 @t105) % 16.00/16.42 (assume-push @p3257 @t106) % 16.00/16.42 (assume-push @p3258 @t107) % 16.00/16.42 (assume-push @p3259 @t148) % 16.00/16.42 (assume-push @p3260 @t118) % 16.00/16.42 (assume-push @p3261 @t150) % 16.00/16.42 (assume-push @p3262 @t152) % 16.00/16.42 (assume-push @p3263 @t123) % 16.00/16.42 (assume-push @p3264 @t125) % 16.00/16.42 (assume-push @p3265 @t127) % 16.00/16.42 (assume-push @p3266 @t130) % 16.00/16.42 (assume-push @p3267 @t134) % 16.00/16.42 (assume-push @p3268 @t104) % 16.00/16.42 (assume-push @p3269 @t118) % 16.00/16.42 (assume-push @p3270 @t127) % 16.00/16.42 (assume-push @p3271 @t134) % 16.00/16.42 (assume-push @p3272 @t107) % 16.00/16.42 (assume-push @p3273 @t106) % 16.00/16.42 (assume-push @p3274 @t130) % 16.00/16.42 (assume-push @p3275 @t125) % 16.00/16.42 (assume-push @p3276 @t123) % 16.00/16.42 (assume-push @p3277 @t148) % 16.00/16.42 (assume-push @p3278 @t152) % 16.00/16.42 (assume-push @p3279 @t150) % 16.00/16.42 (assume-push @p3280 @t103) % 16.00/16.42 (assume-push @p3281 @t105) % 16.00/16.42 (step @p987 :rule cong :premises (@p3255) :args ((tptp.inverse tptp.sk_c11))) % 16.00/16.42 (step @p195 :rule symm :premises (@p59)) % 16.00/16.42 (step @p131 :rule refl :args (tptp.sk_c11)) % 16.00/16.42 (step @p123 :rule symm :premises (@p69)) % 16.00/16.42 (step @p196 :rule cong :premises (@p123 @p131) :args (@t133)) % 16.00/16.42 (step @p197 :rule symm :premises (@p71)) % 16.00/16.42 (step @p988 :rule symm :premises (@p3258)) % 16.00/16.42 (step @p989 :rule cong :premises (@p988 @p131) :args (@t135)) % 16.00/16.42 (step @p990 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:args (@t149)) % 16.00/16.42 (step @p998 :rule trans :premises (@p60 @p997 @p709)) % 16.00/16.42 (step @p999 :rule cong :premises (@p998 @p208) :args (@t154)) % 16.00/16.42 (step @p1000 :rule symm :premises (@p994)) % 16.00/16.42 (step @p1001 :rule cong :premises (@p206 @p1000) :args (@t9)) % 16.00/16.42 (step @p1002 :rule symm :premises (@p3256)) % 16.00/16.42 (step @p1003 :rule trans :premises (@p1002 @p3254 @p1001 @p999 @p220)) % 16.00/16.42 (step @p1004 :rule cong :premises (@p1003) :args (@t153)) % 16.00/16.42 (step @p1005 :rule cong :premises (@p3256) :args (@t119)) % 16.00/16.42 (step @p1006 :rule trans :premises (@p1005 @p1004 @p995 @p987)) % 16.00/16.42 (step-pop @p3282 :rule scope :premises (@p1006)) % 16.00/16.42 (step-pop @p3283 :rule scope :premises (@p3282)) % 16.00/16.42 (step-pop @p3284 :rule scope :premises (@p3283)) % 16.00/16.42 (step-pop @p3285 :rule scope :premises (@p3284)) % 16.00/16.42 (step-pop @p3286 :rule scope :premises (@p3285)) % 16.00/16.42 (step-pop @p3287 :rule scope :premises (@p3286)) % 16.00/16.42 (step-pop @p3288 :rule scope :premises (@p3287)) % 16.00/16.42 (step-pop @p3289 :rule scope :premises (@p3288)) % 16.00/16.42 (step-pop @p3290 :rule scope :premises (@p3289)) % 16.00/16.42 (step-pop @p3291 :rule scope :premises (@p3290)) % 16.00/16.42 (step-pop @p3292 :rule scope :premises (@p3291)) % 16.00/16.42 (step-pop @p3293 :rule scope :premises (@p3292)) % 16.00/16.42 (step-pop @p3294 :rule scope :premises (@p3293)) % 16.00/16.42 (step-pop @p3295 :rule scope :premises (@p3294)) % 16.00/16.42 (step @p1007 :rule process_scope :premises (@p3295) :args (@t241)) % 16.00/16.42 (step @p1022 :rule and_intro :premises (@p3255 @p59 @p69 @p71 @p3258 @p3257 @p70 @p68 @p67 @p58 @p65 @p60 @p3254 @p3256)) % 16.00/16.42 (step @p1023 :rule modus_ponens :premises (@p1022 @p1007)) % 16.00/16.42 (step-pop @p3296 :rule scope :premises (@p1023)) % 16.00/16.42 (step-pop @p3297 :rule scope :premises (@p3296)) % 16.00/16.42 (step-pop @p3298 :rule 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:args (@t245)) % 16.00/16.42 (step @p1042 :rule reordering :premises (@p1041) :args ((or @t244 @t243 @t242 @t240 (not @t245)))) % 16.00/16.42 (step @p1043 :rule chain_m_resolution :premises (@p1042 @p1040 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p958 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p871 @p866 @p779 @p774 @p769 @p764 @p762 @p760 @p758 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p674 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p585 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p457 @p71 @p70 @p69 @p350 @p68 @p67 @p65 @p60 @p349 @p59 @p58 @p348 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p259 @p71 @p70 @p69 @p68 @p67 @p65 @p60 @p59 @p58 @p163 @p71 @p70 @p69 @p68 @p67 @p104 @p59 @p103 @p98 @p96 @p92 @p88 @p84 @p80 @p76) :args ((or @t102 @t167) (@list 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 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(assume-push @p3465 @t247) % 16.00/16.42 (assume-push @p3466 @t162) % 16.00/16.42 (assume-push @p3467 @t169) % 16.00/16.42 (assume-push @p3468 @t118) % 16.00/16.42 (assume-push @p3469 @t121) % 16.00/16.42 (assume-push @p3470 @t265) % 16.00/16.42 (assume-push @p3471 @t251) % 16.00/16.42 (assume-push @p3472 @t253) % 16.00/16.42 (assume-push @p3473 @t269) % 16.00/16.42 (assume-push @p3474 @t275) % 16.00/16.42 (assume-push @p3475 @t271) % 16.00/16.42 (step @p1103 :rule symm :premises (@p1058)) % 16.00/16.42 (step @p1106 :rule refl :args (tptp.sk_c10)) % 16.00/16.42 (step @p1107 :rule cong :premises (@p58 @p1106) :args (@t257)) % 16.00/16.42 (step @p1113 :rule symm :premises (@p1107)) % 16.00/16.42 (step @p220 :rule symm :premises (@p58)) % 16.00/16.42 (step @p1105 :rule cong :premises (@p220 @p1058) :args (@t277)) % 16.00/16.42 (step @p1114 :rule symm :premises (@p1105)) % 16.00/16.42 (step @p1104 :rule cong :premises (@p1059 @p1103) :args (@t276)) % 16.00/16.42 (step @p1115 :rule symm 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16.00/16.42 (step @p1109 :rule refl :args (@t119)) % 16.00/16.42 (step @p1324 :rule cong :premises (@p1109 @p1323) :args (@t120)) % 16.00/16.42 (step @p1325 :rule trans :premises (@p104 @p1324 @p1099 @p1098 @p195)) % 16.00/16.42 (step @p1326 :rule cong :premises (@p349 @p1325) :args (@t278)) % 16.00/16.42 (step @p1111 :rule symm :premises (@p1059)) % 16.00/16.42 (step @p1112 :rule refl :args (tptp.sk_c1)) % 16.00/16.42 (step @p1327 :rule cong :premises (@p1320 @p1112) :args (@t266)) % 16.00/16.42 (step @p1328 :rule symm :premises (@p1319)) % 16.00/16.42 (step @p1329 :rule symm :premises (@p3447)) % 16.00/16.42 (step @p1330 :rule trans :premises (@p1329 @p1328)) % 16.00/16.42 (step @p1331 :rule cong :premises (@p1330 @p1112) :args (@t268)) % 16.00/16.42 (step @p1230 :rule symm :premises (@p1062)) % 16.00/16.42 (step @p1332 :rule symm :premises (@p1327)) % 16.00/16.42 (step @p1333 :rule symm :premises (@p1324)) % 16.00/16.42 (step @p1128 :rule symm :premises (@p1098)) % 16.00/16.42 (step @p1334 :rule trans :premises (@p59 @p1128 @p1061 @p1333 @p1097 @p1059 @p1332)) % 16.00/16.42 (step @p1122 :rule refl :args (tptp.sk_c2)) % 16.00/16.42 (step @p1335 :rule cong :premises (@p1122 @p1334) :args (@t272)) % 16.00/16.42 (step @p1336 :rule trans :premises (@p1335 @p1230 @p1331 @p1327 @p1111)) % 16.00/16.42 (step @p1337 :rule symm :premises (@p3448)) % 16.00/16.42 (step @p1338 :rule cong :premises (@p1337 @p1336) :args (@t273)) % 16.00/16.42 (step @p1238 :rule cong :premises (@p1063 @p131) :args (@t117)) % 16.00/16.42 (step @p1339 :rule trans :premises (@p104 @p1324 @p1099 @p1098 @p1238 @p1064 @p1338 @p1326 @p1220 @p1321 @p1116 @p1115 @p1114 @p1113 @p1103)) % 16.00/16.42 (step @p1340 :rule cong :premises (@p1339 @p1339) :args (@t147)) % 16.00/16.42 (step @p1129 :rule symm :premises (@p1063)) % 16.00/16.42 (step @p1130 :rule cong :premises (@p1129 @p131) :args (@t274)) % 16.00/16.42 (step @p1131 :rule symm :premises (@p1064)) % 16.00/16.42 (step @p1341 :rule symm :premises 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16.00/16.42 (assume-push @p3532 @t169) % 16.00/16.42 (assume-push @p3533 @t118) % 16.00/16.42 (assume-push @p3534 @t121) % 16.00/16.42 (assume-push @p3535 @t265) % 16.00/16.42 (assume-push @p3536 @t251) % 16.00/16.42 (assume-push @p3537 @t253) % 16.00/16.42 (assume-push @p3538 @t269) % 16.00/16.42 (assume-push @p3539 @t275) % 16.00/16.42 (assume-push @p3540 @t271) % 16.00/16.42 (assume-push @p3541 @t295) % 16.00/16.42 (step @p1103 :rule symm :premises (@p1058)) % 16.00/16.42 (step @p1106 :rule refl :args (tptp.sk_c10)) % 16.00/16.42 (step @p1107 :rule cong :premises (@p58 @p1106) :args (@t257)) % 16.00/16.42 (step @p1113 :rule symm :premises (@p1107)) % 16.00/16.42 (step @p220 :rule symm :premises (@p58)) % 16.00/16.42 (step @p1105 :rule cong :premises (@p220 @p1058) :args (@t277)) % 16.00/16.42 (step @p1114 :rule symm :premises (@p1105)) % 16.00/16.42 (step @p1104 :rule cong :premises (@p1059 @p1103) :args (@t276)) % 16.00/16.42 (step @p1115 :rule symm :premises (@p1104)) % 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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 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 false false false false false false true false) (@list @t202 @t194 @t198 @t238 @t190 @t185 @t188 @t245 @t115 @t180 @t134 @t130 @t127 @t125 @t123 @t152 @t150 @t118 @t148 @t136 @t134 @t130 @t127 @t125 @t123 @t121 @t118 @t156 @t134 @t130 @t127 @t125 @t123 @t152 @t150 @t118 @t148 @t165 @t134 @t130 @t127 @t125 @t123 @t152 @t150 @t118 @t148 @t174 @t134 @t130 @t127 @t173 @t125 @t123 @t152 @t150 @t169 @t118 @t148 @t178 @t134 @t130 @t127 @t125 @t123 @t152 @t150 @t118 @t148 @t179 @t134 @t130 @t127 @t125 @t123 @t152 @t150 @t118 @t148 @t239 @t134 @t130 @t127 @t125 @t123 @t152 @t150 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16.00/16.42 (assume-push @p4222 @t184) % 16.00/16.42 (assume-push @p4223 @t165) % 16.00/16.42 (step @p2590 :rule evaluate :args ((= false true))) % 16.00/16.42 (step @p2591 :rule true_intro :premises (@p4223)) % 16.00/16.42 (step @p2592 :rule false_intro :premises (@p4222)) % 16.00/16.42 (step @p2593 :rule symm :premises (@p2592)) % 16.00/16.42 (step @p2594 :rule trans :premises (@p2593 @p2591)) % 16.00/16.42 (step @p2595 false :rule eq_resolve :premises (@p2594 @p2590)) % 16.00/16.42 (step-pop @p4224 :rule scope :premises (@p2595)) % 16.00/16.42 (step-pop @p4225 :rule scope :premises (@p4224)) % 16.00/16.42 (step @p2596 :rule process_scope :premises (@p4225) :args (false)) % 16.00/16.42 (assume-push @p4226 @t103) % 16.00/16.42 (assume-push @p4227 @t104) % 16.00/16.42 (assume-push @p4228 @t311) % 16.00/16.42 (assume-push @p4229 @t105) % 16.00/16.42 (assume-push @p4230 @t106) % 16.00/16.42 (assume-push @p4231 @t107) % 16.00/16.42 (assume-push @p4232 @t167) % 16.00/16.42 (assume-push @p4233 @t148) % 16.00/16.42 (assume-push @p4234 @t118) % 16.00/16.42 (assume-push @p4235 @t150) % 16.00/16.42 (assume-push @p4236 @t315) % 16.00/16.42 (assume-push @p4237 @t152) % 16.00/16.42 (assume-push @p4238 @t312) % 16.00/16.42 (assume-push @p4239 @t123) % 16.00/16.42 (assume-push @p4240 @t125) % 16.00/16.42 (assume-push @p4241 @t127) % 16.00/16.42 (assume-push @p4242 @t130) % 16.00/16.42 (assume-push @p4243 @t134) % 16.00/16.42 (assume-push @p4244 @t105) % 16.00/16.42 (assume-push @p4245 @t103) % 16.00/16.42 (assume-push @p4246 @t118) % 16.00/16.42 (assume-push @p4247 @t127) % 16.00/16.42 (assume-push @p4248 @t134) % 16.00/16.42 (assume-push @p4249 @t107) % 16.00/16.42 (assume-push @p4250 @t106) % 16.00/16.42 (assume-push @p4251 @t130) % 16.00/16.42 (assume-push @p4252 @t125) % 16.00/16.42 (assume-push @p4253 @t123) % 16.00/16.42 (assume-push @p4254 @t150) % 16.00/16.42 (assume-push @p4255 @t104) % 16.00/16.42 (assume-push @p4256 @t152) % 16.00/16.42 (assume-push @p4257 @t148) % 16.00/16.42 (assume-push @p4258 @t312) % 16.00/16.42 (assume-push @p4259 @t315) % 16.00/16.42 (assume-push @p4260 @t311) % 16.00/16.42 (step @p2634 :rule symm :premises (@p4226)) % 16.00/16.42 (step @p195 :rule symm :premises (@p59)) % 16.00/16.42 (step @p131 :rule refl :args (tptp.sk_c11)) % 16.00/16.42 (step @p123 :rule symm :premises (@p69)) % 16.00/16.42 (step @p196 :rule cong :premises (@p123 @p131) :args (@t133)) % 16.00/16.42 (step @p197 :rule symm :premises (@p71)) % 16.00/16.42 (step @p2635 :rule symm :premises (@p4231)) % 16.00/16.42 (step @p2636 :rule cong :premises (@p2635 @p131) :args (@t135)) % 16.00/16.42 (step @p2637 :rule symm :premises (@p4230)) % 16.00/16.42 (step @p129 :rule refl :args (@t26)) % 16.00/16.42 (step @p2638 :rule cong :premises (@p129 @p2637) :args (@t128)) % 16.00/16.42 (step @p125 :rule refl :args (tptp.sk_c8)) % 16.00/16.42 (step @p202 :rule cong :premises (@p68 @p125) :args (@t122)) % 16.00/16.42 (step @p2639 :rule trans :premises (@p67 @p202 @p70 @p2638 @p2636)) % 16.00/16.42 (step @p134 :rule refl :args (@t101)) % 16.00/16.42 (step @p2640 :rule cong :premises (@p134 @p2639) :args (@t126)) % 16.00/16.42 (step @p2641 :rule trans :premises (@p69 @p2640 @p197 @p196 @p195)) % 16.00/16.42 (step @p206 :rule refl :args (tptp.sk_c3)) % 16.00/16.42 (step @p2642 :rule cong :premises (@p206 @p2641) :args (@t154)) % 16.00/16.42 (step @p208 :rule refl :args (tptp.identity)) % 16.00/16.42 (step @p209 :rule symm :premises (@p60)) % 16.00/16.42 (step @p2643 :rule symm :premises (@p2641)) % 16.00/16.42 (step @p2644 :rule symm :premises (@p4227)) % 16.00/16.42 (step @p2645 :rule trans :premises (@p2644 @p2643)) % 16.00/16.42 (step @p2646 :rule cong :premises (@p2645 @p206) :args (@t151)) % 16.00/16.42 (step @p2647 :rule trans :premises (@p65 @p2646 @p209)) % 16.00/16.42 (step @p2648 :rule cong :premises (@p2647 @p208) :args (@t147)) % 16.00/16.42 (step @p2649 :rule symm :premises (@p2640)) % 16.00/16.42 (step @p136 :rule cong :premises (@p69 @p131) :args (@t117)) % 16.00/16.42 (step @p2650 :rule trans :premises (@p59 @p136 @p71 @p2649 @p123 @p58 @p2648 @p2642 @p2634)) % 16.00/16.42 (step @p2651 :rule symm :premises (@p4229)) % 16.00/16.42 (step @p2652 :rule cong :premises (@p2651 @p2650) :args (@t163)) % 16.00/16.42 (step @p2653 :rule trans :premises (@p58 @p2648 @p2642 @p2634 @p4229)) % 16.00/16.42 (step @p2654 :rule cong :premises (@p2653 @p2641) :args (@t147)) % 16.00/16.42 (step @p2655 :rule symm :premises (@p66)) % 16.00/16.42 (step @p2656 :rule refl :args (tptp.sk_c4)) % 16.00/16.42 (step @p2657 :rule cong :premises (@p2653 @p2656) :args (@t314)) % 16.00/16.42 (step @p2658 :rule trans :premises (@p61 @p2657 @p2655)) % 16.00/16.42 (step @p2659 :rule cong :premises (@p2658 @p2643) :args ((tptp.multiply tptp.sk_c4 tptp.sk_c11))) % 16.00/16.42 (step @p2660 :rule symm :premises (@p2650)) % 16.00/16.42 (step @p2661 :rule cong :premises (@p2656 @p2660) :args (@t17)) % 16.00/16.42 (step @p2662 :rule trans :premises (@p4228 @p2661 @p2659 @p2654 @p2652)) % 16.00/16.42 (step-pop @p4261 :rule scope :premises (@p2662)) % 16.00/16.42 (step-pop @p4262 :rule scope :premises (@p4261)) % 16.00/16.42 (step-pop @p4263 :rule scope :premises (@p4262)) % 16.00/16.42 (step-pop @p4264 :rule scope :premises (@p4263)) % 16.00/16.42 (step-pop @p4265 :rule scope :premises (@p4264)) % 16.00/16.42 (step-pop @p4266 :rule scope :premises (@p4265)) % 16.00/16.42 (step-pop @p4267 :rule scope :premises (@p4266)) % 16.00/16.42 (step-pop @p4268 :rule scope :premises (@p4267)) % 16.00/16.42 (step-pop @p4269 :rule scope :premises (@p4268)) % 16.00/16.42 (step-pop @p4270 :rule scope :premises (@p4269)) % 16.00/16.42 (step-pop @p4271 :rule scope :premises (@p4270)) % 16.00/16.42 (step-pop @p4272 :rule scope :premises (@p4271)) % 16.00/16.42 (step-pop @p4273 :rule scope :premises (@p4272)) % 16.00/16.42 (step-pop @p4274 :rule scope :premises (@p4273)) % 16.00/16.42 (step-pop @p4275 :rule scope :premises (@p4274)) % 16.00/16.42 (step-pop @p4276 :rule scope :premises (@p4275)) % 16.00/16.42 (step-pop @p4277 :rule scope :premises (@p4276)) % 16.00/16.42 (step @p2663 :rule process_scope :premises (@p4277) :args (@t165)) % 16.00/16.42 (step @p2681 :rule and_intro :premises (@p4229 @p4226 @p59 @p69 @p71 @p4231 @p4230 @p70 @p68 @p67 @p60 @p4227 @p65 @p58 @p66 @p61 @p4228)) % 16.00/16.42 (step @p2682 :rule modus_ponens :premises (@p2681 @p2663)) % 16.00/16.42 (assume-push @p4278 @t167) % 16.00/16.42 (assume-push @p4279 @t105) % 16.00/16.42 (assume-push @p4280 @t118) % 16.00/16.42 (assume-push @p4281 @t127) % 16.00/16.42 (assume-push @p4282 @t134) % 16.00/16.42 (assume-push @p4283 @t107) % 16.00/16.42 (assume-push @p4284 @t106) % 16.00/16.42 (assume-push @p4285 @t130) % 16.00/16.42 (assume-push @p4286 @t125) % 16.00/16.42 (assume-push @p4287 @t123) % 16.00/16.42 (assume-push @p4288 @t148) % 16.00/16.42 (assume-push @p4289 @t152) % 16.00/16.42 (assume-push @p4290 @t104) % 16.00/16.42 (assume-push @p4291 @t150) % 16.00/16.42 (assume-push @p4292 @t103) % 16.00/16.42 (step @p2698 :rule false_intro :premises (@p4232)) % 16.00/16.42 (step @p131 :rule refl :args (tptp.sk_c11)) % 16.00/16.42 (step @p2699 :rule symm :premises (@p4229)) % 16.00/16.42 (step @p2700 :rule cong :premises (@p2699 @p131) :args (@t163)) % 16.00/16.42 (step @p195 :rule symm :premises (@p59)) % 16.00/16.42 (step @p123 :rule symm :premises (@p69)) % 16.00/16.42 (step @p196 :rule cong :premises (@p123 @p131) :args (@t133)) % 16.00/16.42 (step @p197 :rule symm :premises (@p71)) % 16.00/16.42 (step @p2701 :rule symm :premises (@p4231)) % 16.00/16.42 (step @p2702 :rule cong :premises (@p2701 @p131) :args (@t135)) % 16.00/16.42 (step @p2703 :rule symm :premises (@p4230)) % 16.00/16.42 (step @p129 :rule refl :args (@t26)) % 16.00/16.42 (step @p2704 :rule cong :premises (@p129 @p2703) :args (@t128)) % 16.00/16.42 (step @p125 :rule refl :args (tptp.sk_c8)) % 16.00/16.42 (step @p202 :rule cong :premises (@p68 @p125) :args (@t122)) % 16.00/16.42 (step @p2705 :rule trans :premises (@p67 @p202 @p70 @p2704 @p2702)) % 16.00/16.42 (step @p134 :rule refl :args (@t101)) % 16.00/16.42 (step @p2706 :rule cong :premises (@p134 @p2705) :args (@t126)) % 16.00/16.42 (step @p220 :rule symm :premises (@p58)) % 16.00/16.42 (step @p208 :rule refl :args (tptp.identity)) % 16.00/16.42 (step @p709 :rule symm :premises (@p65)) % 16.00/16.42 (step @p206 :rule refl :args (tptp.sk_c3)) % 16.00/16.42 (step @p2707 :rule trans :premises (@p69 @p2706 @p197 @p196 @p195)) % 16.00/16.42 (step @p2708 :rule trans :premises (@p2707 @p4227)) % 16.00/16.42 (step @p2709 :rule cong :premises (@p2708 @p206) :args (@t149)) % 16.00/16.42 (step @p2710 :rule trans :premises (@p60 @p2709 @p709)) % 16.00/16.42 (step @p2711 :rule cong :premises (@p2710 @p208) :args (@t154)) % 16.00/16.42 (step @p2712 :rule symm :premises (@p2707)) % 16.00/16.42 (step @p2713 :rule cong :premises (@p206 @p2712) :args (@t9)) % 16.00/16.42 (step @p2714 :rule trans :premises (@p4226 @p2713 @p2711 @p220 @p69 @p2706 @p197 @p196 @p195)) % 16.00/16.42 (step @p2715 :rule cong :premises (@p4229 @p2714) :args (@t164)) % 16.00/16.42 (step @p2716 :rule trans :premises (@p2715 @p2700)) % 16.00/16.42 (step @p406 :rule refl :args (tptp.sk_c9)) % 16.00/16.42 (step @p2717 :rule cong :premises (@p406 @p2716) :args (@t165)) % 16.00/16.42 (step @p2718 :rule trans :premises (@p2717 @p2698)) % 16.00/16.42 (step @p2719 :rule false_elim :premises (@p2718)) % 16.00/16.42 (step-pop @p4293 :rule scope :premises (@p2719)) % 16.00/16.42 (step-pop @p4294 :rule scope :premises (@p4293)) % 16.00/16.42 (step-pop @p4295 :rule scope :premises (@p4294)) % 16.00/16.42 (step-pop @p4296 :rule scope :premises (@p4295)) % 16.00/16.42 (step-pop @p4297 :rule scope :premises (@p4296)) % 16.00/16.42 (step-pop @p4298 :rule scope :premises (@p4297)) % 16.00/16.42 (step-pop @p4299 :rule scope :premises (@p4298)) % 16.00/16.42 (step-pop @p4300 :rule scope :premises (@p4299)) % 16.00/16.42 (step-pop @p4301 :rule scope :premises (@p4300)) % 16.00/16.42 (step-pop @p4302 :rule scope :premises (@p4301)) % 16.00/16.42 (step-pop @p4303 :rule scope :premises (@p4302)) % 16.00/16.42 (step-pop @p4304 :rule scope :premises (@p4303)) % 16.00/16.42 (step-pop @p4305 :rule scope :premises (@p4304)) % 16.00/16.42 (step-pop @p4306 :rule scope :premises (@p4305)) % 16.00/16.42 (step-pop @p4307 :rule scope :premises (@p4306)) % 16.00/16.42 (step @p2720 :rule process_scope :premises (@p4307) :args (@t184)) % 16.00/16.42 (step @p2736 :rule and_intro :premises (@p4232 @p4229 @p59 @p69 @p71 @p4231 @p4230 @p70 @p68 @p67 @p58 @p65 @p4227 @p60 @p4226)) % 16.00/16.42 (step @p2737 :rule modus_ponens :premises (@p2736 @p2720)) % 16.00/16.42 (step @p2738 :rule and_intro :premises (@p2737 @p2682)) % 16.00/16.42 (step-pop @p4308 :rule scope :premises (@p2738)) % 16.00/16.42 (step-pop @p4309 :rule scope :premises (@p4308)) % 16.00/16.42 (step-pop @p4310 :rule scope :premises (@p4309)) % 16.00/16.42 (step-pop @p4311 :rule scope :premises (@p4310)) % 16.00/16.42 (step-pop @p4312 :rule scope :premises (@p4311)) % 16.00/16.42 (step-pop @p4313 :rule scope :premises (@p4312)) % 16.00/16.42 (step-pop @p4314 :rule scope :premises (@p4313)) % 16.00/16.42 (step-pop @p4315 :rule scope :premises (@p4314)) % 16.00/16.42 (step-pop @p4316 :rule scope :premises (@p4315)) % 16.00/16.42 (step-pop @p4317 :rule scope :premises (@p4316)) % 16.00/16.42 (step-pop @p4318 :rule scope :premises (@p4317)) % 16.00/16.42 (step-pop @p4319 :rule scope :premises (@p4318)) % 16.00/16.42 (step-pop @p4320 :rule scope :premises (@p4319)) % 16.00/16.42 (step-pop @p4321 :rule scope :premises (@p4320)) % 16.00/16.42 (step-pop @p4322 :rule scope :premises (@p4321)) % 16.00/16.42 (step-pop @p4323 :rule scope :premises (@p4322)) % 16.00/16.42 (step-pop @p4324 :rule scope :premises (@p4323)) % 16.00/16.42 (step-pop @p4325 :rule scope :premises (@p4324)) % 16.00/16.42 (step @p2739 :rule process_scope :premises (@p4325) :args (@t318)) % 16.00/16.42 (step @p2758 :rule implies_elim :premises (@p2739)) % 16.00/16.42 (step @p2759 :rule resolution :premises (@p2758 @p2596) :args (true @t318)) % 16.00/16.42 (step @p2760 :rule not_and :premises (@p2759)) % 16.00/16.42 (step @p2761 :rule eq_resolve :premises (@p2760 @p2587)) % 16.00/16.42 (step @p2762 :rule reordering :premises (@p2761) :args ((or @t162 @t110 @t109 @t317 @t161 @t146 @t145 @t160 @t144 @t159 @t316 @t158 @t313 @t142 @t141 @t140 @t139 @t138))) % 16.00/16.42 (step @p2763 false :rule chain_m_resolution :premises (@p2762 @p2568 @p2565 @p2562 @p2559 @p2555 @p2552 @p2549 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p61 @p60 @p59 @p58) :args (false (@list false false false false false false true false false false false false false false false false false false) (@list @t107 @t106 @t105 @t311 @t104 @t103 @t162 @t134 @t130 @t127 @t125 @t123 @t312 @t152 @t315 @t150 @t118 @t148))) % 16.00/16.42 ) % 16.00/16.42 % SZS output end Proof % 16.00/16.42 % cvc5 exiting %------------------------------------------------------------------------------