%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP234-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:20:16 AM UTC 2026 % Result : Unsatisfiable 15.99s 16.37s % Output : Proof 15.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP234-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 00:59:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.17 --- Run --no-e-matching --full-saturate-quant at 6... % 15.99/16.37 % SZS status Unsatisfiable % 15.99/16.37 % SZS output start Proof % 15.99/16.38 ( % 15.99/16.38 (declare-sort $$unsorted 0) % 15.99/16.38 (declare-const tptp.sk_c2 $$unsorted) % 15.99/16.38 (declare-const tptp.sk_c1 $$unsorted) % 15.99/16.38 (declare-const tptp.sk_c5 $$unsorted) % 15.99/16.38 (declare-const tptp.sk_c6 $$unsorted) % 15.99/16.38 (declare-const tptp.sk_c4 $$unsorted) % 15.99/16.38 (declare-const tptp.sk_c3 $$unsorted) % 15.99/16.38 (declare-const tptp.sk_c7 $$unsorted) % 15.99/16.38 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.99/16.38 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.38 (declare-const tptp.identity $$unsorted) % 15.99/16.38 (define @t1 () (@var "X" $$unsorted)) % 15.99/16.38 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.99/16.38 (define @t3 () (@list @t1)) % 15.99/16.38 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.99/16.38 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.99/16.38 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.99/16.38 (define @t7 () (@var "Z" $$unsorted)) % 15.99/16.38 (define @t8 () (@var "Y" $$unsorted)) % 15.99/16.38 (define @t9 () (tptp.inverse tptp.sk_c3)) % 15.99/16.38 (define @t10 () (= @t9 tptp.sk_c7)) % 15.99/16.38 (define @t11 () (tptp.inverse tptp.sk_c7)) % 15.99/16.38 (define @t12 () (= @t11 tptp.sk_c6)) % 15.99/16.38 (define @t13 () (or @t12 @t10)) % 15.99/16.38 (define @t14 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 15.99/16.38 (define @t15 () (= @t14 tptp.sk_c7)) % 15.99/16.38 (define @t16 () (or @t12 @t15)) % 15.99/16.38 (define @t17 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 15.99/16.38 (define @t18 () (= @t17 tptp.sk_c6)) % 15.99/16.38 (define @t19 () (or @t12 @t18)) % 15.99/16.38 (define @t20 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 15.99/16.38 (define @t21 () (= @t20 tptp.sk_c5)) % 15.99/16.38 (define @t22 () (or @t12 @t21)) % 15.99/16.38 (define @t23 () (tptp.inverse tptp.sk_c4)) % 15.99/16.38 (define @t24 () (= @t23 tptp.sk_c7)) % 15.99/16.38 (define @t25 () (or @t12 @t24)) % 15.99/16.38 (define @t26 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 15.99/16.38 (define @t27 () (= @t26 tptp.sk_c6)) % 15.99/16.38 (define @t28 () (or @t27 @t10)) % 15.99/16.38 (define @t29 () (or @t27 @t15)) % 15.99/16.38 (define @t30 () (or @t27 @t18)) % 15.99/16.38 (define @t31 () (or @t27 @t21)) % 15.99/16.38 (define @t32 () (or @t27 @t24)) % 15.99/16.38 (define @t33 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 15.99/16.38 (define @t34 () (= @t33 tptp.sk_c6)) % 15.99/16.38 (define @t35 () (or @t34 @t10)) % 15.99/16.38 (define @t36 () (or @t34 @t15)) % 15.99/16.38 (define @t37 () (or @t34 @t18)) % 15.99/16.38 (define @t38 () (or @t34 @t21)) % 15.99/16.38 (define @t39 () (or @t34 @t24)) % 15.99/16.38 (define @t40 () (tptp.inverse tptp.sk_c2)) % 15.99/16.38 (define @t41 () (= @t40 tptp.sk_c7)) % 15.99/16.38 (define @t42 () (or @t41 @t10)) % 15.99/16.38 (define @t43 () (or @t41 @t15)) % 15.99/16.38 (define @t44 () (or @t41 @t18)) % 15.99/16.38 (define @t45 () (or @t41 @t21)) % 15.99/16.38 (define @t46 () (or @t41 @t24)) % 15.99/16.38 (define @t47 () (@var "X5" $$unsorted)) % 15.99/16.38 (define @t48 () (tptp.inverse @t47)) % 15.99/16.38 (define @t49 () (not (= @t48 tptp.sk_c7))) % 15.99/16.38 (define @t50 () (@var "X2" $$unsorted)) % 15.99/16.38 (define @t51 () (tptp.multiply @t47 tptp.sk_c7)) % 15.99/16.38 (define @t52 () (not (= @t51 @t50))) % 15.99/16.38 (define @t53 () (tptp.multiply tptp.sk_c7 @t50)) % 15.99/16.38 (define @t54 () (not (= @t53 tptp.sk_c6))) % 15.99/16.38 (define @t55 () (@var "X1" $$unsorted)) % 15.99/16.38 (define @t56 () (tptp.multiply @t55 tptp.sk_c6)) % 15.99/16.38 (define @t57 () (not (= @t56 tptp.sk_c7))) % 15.99/16.38 (define @t58 () (tptp.inverse @t55)) % 15.99/16.38 (define @t59 () (not (= @t58 tptp.sk_c7))) % 15.99/16.38 (define @t60 () (@var "X4" $$unsorted)) % 15.99/16.38 (define @t61 () (tptp.inverse @t60)) % 15.99/16.38 (define @t62 () (not (= @t61 tptp.sk_c7))) % 15.99/16.38 (define @t63 () (tptp.multiply @t60 tptp.sk_c7)) % 15.99/16.38 (define @t64 () (not (= @t63 tptp.sk_c6))) % 15.99/16.38 (define @t65 () (@var "X3" $$unsorted)) % 15.99/16.38 (define @t66 () (tptp.multiply @t65 tptp.sk_c7)) % 15.99/16.38 (define @t67 () (not (= @t66 tptp.sk_c6))) % 15.99/16.38 (define @t68 () (not @t12)) % 15.99/16.38 (define @t69 () (or @t68 @t67 @t64 @t62 @t59 @t57 @t54 @t52 @t49)) % 15.99/16.38 (define @t70 () (@list @t65 @t60 @t55 @t50 @t47)) % 15.99/16.38 (define @t71 () (forall @t70 @t69)) % 15.99/16.38 (define @t72 () (@list tptp.sk_c7)) % 15.99/16.38 (define @t73 () (@list tptp.sk_c6)) % 15.99/16.38 (define @t74 () (@list tptp.sk_c3)) % 15.99/16.38 (define @t75 () (@list tptp.sk_c4)) % 15.99/16.38 (define @t76 () (tptp.inverse tptp.sk_c6)) % 15.99/16.38 (define @t77 () (= tptp.sk_c7 @t40)) % 15.99/16.38 (define @t78 () (= tptp.sk_c7 @t9)) % 15.99/16.38 (define @t79 () (= tptp.sk_c7 @t14)) % 15.99/16.38 (define @t80 () (= tptp.sk_c6 @t17)) % 15.99/16.38 (define @t81 () (= tptp.sk_c5 @t20)) % 15.99/16.38 (define @t82 () (= tptp.sk_c7 @t23)) % 15.99/16.38 (define @t83 () (not @t79)) % 15.99/16.38 (define @t84 () (not @t78)) % 15.99/16.38 (define @t85 () (or @t84 @t83)) % 15.99/16.38 (define @t86 () (not (= tptp.sk_c7 @t56))) % 15.99/16.38 (define @t87 () (not (= tptp.sk_c7 @t58))) % 15.99/16.38 (define @t88 () (or @t87 @t86)) % 15.99/16.38 (define @t89 () (forall (@list @t55) @t88)) % 15.99/16.38 (define @t90 () (= tptp.sk_c6 @t11)) % 15.99/16.38 (define @t91 () (tptp.multiply tptp.identity tptp.identity)) % 15.99/16.38 (define @t92 () (= tptp.identity @t91)) % 15.99/16.38 (define @t93 () (tptp.multiply tptp.identity tptp.sk_c7)) % 15.99/16.38 (define @t94 () (= tptp.sk_c7 @t93)) % 15.99/16.38 (define @t95 () (tptp.multiply @t23 tptp.sk_c4)) % 15.99/16.38 (define @t96 () (= tptp.identity @t95)) % 15.99/16.38 (define @t97 () (tptp.multiply @t23 @t20)) % 15.99/16.38 (define @t98 () (= (tptp.multiply @t95 tptp.sk_c7) @t97)) % 15.99/16.38 (define @t99 () (tptp.multiply tptp.identity @t93)) % 15.99/16.38 (define @t100 () (tptp.multiply @t91 tptp.sk_c7)) % 15.99/16.38 (define @t101 () (= tptp.sk_c7 @t11)) % 15.99/16.38 (define @t102 () (and @t90 @t80 @t81 @t82 @t92 @t94 @t96 @t98)) % 15.99/16.38 (define @t103 () (not @t98)) % 15.99/16.38 (define @t104 () (not @t96)) % 15.99/16.38 (define @t105 () (not @t94)) % 15.99/16.38 (define @t106 () (not @t92)) % 15.99/16.38 (define @t107 () (not @t82)) % 15.99/16.38 (define @t108 () (not @t81)) % 15.99/16.38 (define @t109 () (not @t80)) % 15.99/16.38 (define @t110 () (not @t90)) % 15.99/16.38 (define @t111 () (tptp.multiply @t11 tptp.sk_c7)) % 15.99/16.38 (define @t112 () (= tptp.identity @t111)) % 15.99/16.38 (define @t113 () (tptp.multiply tptp.identity tptp.sk_c6)) % 15.99/16.38 (define @t114 () (= tptp.sk_c6 @t113)) % 15.99/16.38 (define @t115 () (tptp.multiply @t76 tptp.sk_c6)) % 15.99/16.38 (define @t116 () (= tptp.identity @t115)) % 15.99/16.38 (define @t117 () (tptp.multiply @t9 tptp.sk_c3)) % 15.99/16.38 (define @t118 () (= tptp.identity @t117)) % 15.99/16.38 (define @t119 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 15.99/16.38 (define @t120 () (tptp.multiply tptp.sk_c7 @t119)) % 15.99/16.38 (define @t121 () (tptp.multiply @t119 tptp.sk_c7)) % 15.99/16.38 (define @t122 () (= @t121 @t120)) % 15.99/16.38 (define @t123 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 15.99/16.38 (define @t124 () (tptp.multiply @t76 @t123)) % 15.99/16.38 (define @t125 () (tptp.multiply @t115 tptp.sk_c7)) % 15.99/16.38 (define @t126 () (= @t125 @t124)) % 15.99/16.38 (define @t127 () (tptp.multiply @t76 tptp.identity)) % 15.99/16.38 (define @t128 () (tptp.multiply @t127 tptp.sk_c7)) % 15.99/16.38 (define @t129 () (= @t128 (tptp.multiply @t76 @t93))) % 15.99/16.38 (define @t130 () (tptp.multiply @t76 @t119)) % 15.99/16.38 (define @t131 () (tptp.multiply @t76 tptp.sk_c7)) % 15.99/16.38 (define @t132 () (tptp.multiply @t131 tptp.sk_c7)) % 15.99/16.38 (define @t133 () (= @t132 @t130)) % 15.99/16.38 (define @t134 () (tptp.multiply @t9 @t14)) % 15.99/16.38 (define @t135 () (tptp.multiply @t117 tptp.sk_c6)) % 15.99/16.38 (define @t136 () (= @t135 @t134)) % 15.99/16.38 (define @t137 () (tptp.multiply tptp.identity @t113)) % 15.99/16.38 (define @t138 () (tptp.multiply @t91 tptp.sk_c6)) % 15.99/16.38 (define @t139 () (tptp.inverse @t9)) % 15.99/16.38 (define @t140 () (tptp.inverse @t139)) % 15.99/16.38 (define @t141 () (tptp.multiply @t140 @t139)) % 15.99/16.38 (define @t142 () (= tptp.sk_c6 @t120)) % 15.99/16.38 (define @t143 () (and @t90 @t78 @t79 @t80 @t81 @t82 @t92 @t94 @t112 @t114 @t116 @t118 @t96 @t122 @t126 @t129 @t133 @t98 @t136)) % 15.99/16.38 (define @t144 () (not @t136)) % 15.99/16.38 (define @t145 () (not @t126)) % 15.99/16.38 (define @t146 () (not @t122)) % 15.99/16.38 (define @t147 () (not @t118)) % 15.99/16.38 (define @t148 () (not @t116)) % 15.99/16.38 (define @t149 () (not @t114)) % 15.99/16.38 (define @t150 () (not @t112)) % 15.99/16.38 (define @t151 () (not @t101)) % 15.99/16.38 (define @t152 () (not @t142)) % 15.99/16.38 (define @t153 () (or @t152 @t151)) % 15.99/16.38 (define @t154 () (not (= tptp.sk_c7 @t48))) % 15.99/16.38 (define @t155 () (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t51)))) % 15.99/16.38 (define @t156 () (or @t155 @t154)) % 15.99/16.38 (define @t157 () (@list @t47)) % 15.99/16.38 (define @t158 () (forall @t157 @t156)) % 15.99/16.38 (define @t159 () (not (= @t51 @t51))) % 15.99/16.38 (define @t160 () (or @t155 @t159 @t154)) % 15.99/16.38 (define @t161 () (not (= @t50 @t51))) % 15.99/16.38 (define @t162 () (not (= tptp.sk_c6 @t53))) % 15.99/16.38 (define @t163 () (or @t161 @t162 @t161 @t154)) % 15.99/16.38 (define @t164 () (@list @t50)) % 15.99/16.38 (define @t165 () (or @t162 @t161 @t154)) % 15.99/16.38 (define @t166 () (forall @t164 @t165)) % 15.99/16.38 (define @t167 () (forall @t157 @t166)) % 15.99/16.38 (define @t168 () (forall (@list @t47 @t50) @t165)) % 15.99/16.38 (define @t169 () (forall (@list @t50 @t47) @t165)) % 15.99/16.38 (define @t170 () (not (= tptp.sk_c7 @t61))) % 15.99/16.38 (define @t171 () (not (= tptp.sk_c6 @t63))) % 15.99/16.38 (define @t172 () (or @t171 @t170)) % 15.99/16.38 (define @t173 () (forall (@list @t60) @t172)) % 15.99/16.38 (define @t174 () (not (= tptp.sk_c6 @t66))) % 15.99/16.38 (define @t175 () (forall (@list @t65) @t174)) % 15.99/16.38 (define @t176 () (or @t110 @t175 @t173 @t89 @t169)) % 15.99/16.38 (define @t177 () (or @t110 @t174 @t172 @t88 @t165)) % 15.99/16.38 (define @t178 () (or @t110 @t174 @t171 @t170 @t87 @t86 @t162 @t161 @t154)) % 15.99/16.38 (define @t179 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.99/16.38 (define @t180 () (= tptp.sk_c3 @t179)) % 15.99/16.38 (define @t181 () (= tptp.identity @t141)) % 15.99/16.38 (define @t182 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) % 15.99/16.38 (define @t183 () (and @t90 @t78 @t79 @t80 @t81 @t82 @t92 @t94 @t112 @t114 @t116 @t180 @t118 @t96 @t181 @t126 @t129 @t98 @t136)) % 15.99/16.38 (define @t184 () (not @t182)) % 15.99/16.38 (define @t185 () (or @t184 @t84)) % 15.99/16.38 (define @t186 () (not @t77)) % 15.99/16.38 (define @t187 () (= tptp.sk_c6 @t33)) % 15.99/16.38 (define @t188 () (not @t187)) % 15.99/16.38 (define @t189 () (or @t188 @t186)) % 15.99/16.38 (define @t190 () (@list tptp.sk_c2)) % 15.99/16.38 (define @t191 () (tptp.multiply @t40 tptp.sk_c2)) % 15.99/16.38 (define @t192 () (= tptp.identity @t191)) % 15.99/16.38 (define @t193 () (tptp.multiply @t40 @t33)) % 15.99/16.38 (define @t194 () (tptp.multiply @t191 tptp.sk_c7)) % 15.99/16.38 (define @t195 () (= @t194 @t193)) % 15.99/16.38 (define @t196 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 15.99/16.38 (define @t197 () (= tptp.sk_c7 @t196)) % 15.99/16.38 (define @t198 () (and @t187 @t77 @t92 @t94 @t192 @t195)) % 15.99/16.38 (define @t199 () (not @t195)) % 15.99/16.38 (define @t200 () (not @t192)) % 15.99/16.38 (define @t201 () (tptp.multiply @t76 @t113)) % 15.99/16.38 (define @t202 () (tptp.multiply @t127 tptp.sk_c6)) % 15.99/16.38 (define @t203 () (= @t202 @t201)) % 15.99/16.38 (define @t204 () (and @t90 @t187 @t77 @t92 @t94 @t112 @t114 @t116 @t192 @t126 @t195 @t203)) % 15.99/16.38 (define @t205 () (not @t197)) % 15.99/16.38 (define @t206 () (or @t151 @t205)) % 15.99/16.38 (define @t207 () (tptp.multiply tptp.sk_c7 tptp.identity)) % 15.99/16.38 (define @t208 () (tptp.multiply @t119 tptp.identity)) % 15.99/16.38 (define @t209 () (= @t208 (tptp.multiply tptp.sk_c7 @t207))) % 15.99/16.38 (define @t210 () (tptp.multiply @t127 tptp.identity)) % 15.99/16.38 (define @t211 () (= @t210 (tptp.multiply @t76 @t91))) % 15.99/16.38 (define @t212 () (and @t90 @t187 @t77 @t92 @t94 @t112 @t114 @t116 @t192 @t209 @t122 @t126 @t211 @t129 @t195 @t203)) % 15.99/16.38 (define @t213 () (= tptp.sk_c6 @t26)) % 15.99/16.38 (define @t214 () (not @t213)) % 15.99/16.38 (define @t215 () (@list true)) % 15.99/16.38 (define @t216 () (@list @t90)) % 15.99/16.38 (define @t217 () (tptp.multiply tptp.identity tptp.sk_c4)) % 15.99/16.38 (define @t218 () (= tptp.sk_c4 @t217)) % 15.99/16.38 (define @t219 () (not @t218)) % 15.99/16.38 (define @t220 () (= tptp.sk_c7 @t139)) % 15.99/16.38 (define @t221 () (not @t220)) % 15.99/16.38 (define @t222 () (and @t221 @t220)) % 15.99/16.38 (assume @p1 @t4) % 15.99/16.38 (assume @p2 @t6) % 15.99/16.38 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.99/16.38 (assume @p4 @t13) % 15.99/16.38 (assume @p5 @t16) % 15.99/16.38 (assume @p6 @t19) % 15.99/16.38 (assume @p7 @t22) % 15.99/16.38 (assume @p8 @t25) % 15.99/16.38 (assume @p9 @t28) % 15.99/16.38 (assume @p10 @t29) % 15.99/16.38 (assume @p11 @t30) % 15.99/16.38 (assume @p12 @t31) % 15.99/16.38 (assume @p13 @t32) % 15.99/16.38 (assume @p14 @t35) % 15.99/16.38 (assume @p15 @t36) % 15.99/16.38 (assume @p16 @t37) % 15.99/16.38 (assume @p17 @t38) % 15.99/16.38 (assume @p18 @t39) % 15.99/16.38 (assume @p19 @t42) % 15.99/16.38 (assume @p20 @t43) % 15.99/16.38 (assume @p21 @t44) % 15.99/16.38 (assume @p22 @t45) % 15.99/16.38 (assume @p23 @t46) % 15.99/16.38 (assume @p24 @t71) % 15.99/16.38 (step @p25 :rule eq-symm :args (@t2 @t1)) % 15.99/16.38 (step @p26 :rule cong :premises (@p25) :args (@t4)) % 15.99/16.38 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 15.99/16.38 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.identity))) % 15.99/16.38 (step @p29 :rule instantiate :premises (@p27) :args (@t72)) % 15.99/16.38 (step @p30 :rule instantiate :premises (@p27) :args (@t73)) % 15.99/16.38 (step @p31 :rule eq-symm :args (@t5 tptp.identity)) % 15.99/16.38 (step @p32 :rule cong :premises (@p31) :args (@t6)) % 15.99/16.38 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 15.99/16.38 (step @p34 :rule instantiate :premises (@p33) :args (@t73)) % 15.99/16.38 (step @p35 :rule instantiate :premises (@p33) :args (@t74)) % 15.99/16.38 (step @p36 :rule instantiate :premises (@p27) :args (@t75)) % 15.99/16.38 (step @p37 :rule instantiate :premises (@p33) :args (@t75)) % 15.99/16.38 (step @p38 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c7 tptp.sk_c7))) % 15.99/16.38 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t76 tptp.sk_c6 tptp.sk_c7))) % 15.99/16.38 (step @p40 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.sk_c4 tptp.sk_c7))) % 15.99/16.38 (step @p41 :rule instantiate :premises (@p3) :args ((@list @t9 tptp.sk_c3 tptp.sk_c6))) % 15.99/16.38 (step @p42 :rule eq-symm :args (@t9 tptp.sk_c7)) % 15.99/16.38 (step @p43 :rule eq-symm :args (@t40 tptp.sk_c7)) % 15.99/16.38 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t42)) % 15.99/16.38 (step @p45 :rule eq_resolve :premises (@p19 @p44)) % 15.99/16.38 (step @p46 :rule reordering :premises (@p45) :args ((or @t78 @t77))) % 15.99/16.38 (step @p47 :rule eq-symm :args (@t14 tptp.sk_c7)) % 15.99/16.38 (step @p48 :rule nary_cong :premises (@p43 @p47) :args (@t43)) % 15.99/16.38 (step @p49 :rule eq_resolve :premises (@p20 @p48)) % 15.99/16.38 (step @p50 :rule reordering :premises (@p49) :args ((or @t79 @t77))) % 15.99/16.38 (step @p51 :rule eq-symm :args (@t17 tptp.sk_c6)) % 15.99/16.38 (step @p52 :rule nary_cong :premises (@p43 @p51) :args (@t44)) % 15.99/16.38 (step @p53 :rule eq_resolve :premises (@p21 @p52)) % 15.99/16.38 (step @p54 :rule reordering :premises (@p53) :args ((or @t80 @t77))) % 15.99/16.38 (step @p55 :rule eq-symm :args (@t20 tptp.sk_c5)) % 15.99/16.38 (step @p56 :rule nary_cong :premises (@p43 @p55) :args (@t45)) % 15.99/16.38 (step @p57 :rule eq_resolve :premises (@p22 @p56)) % 15.99/16.38 (step @p58 :rule reordering :premises (@p57) :args ((or @t81 @t77))) % 15.99/16.38 (step @p59 :rule eq-symm :args (@t23 tptp.sk_c7)) % 15.99/16.38 (step @p60 :rule nary_cong :premises (@p43 @p59) :args (@t46)) % 15.99/16.38 (step @p61 :rule eq_resolve :premises (@p23 @p60)) % 15.99/16.38 (step @p62 :rule reordering :premises (@p61) :args ((or @t82 @t77))) % 15.99/16.38 (step @p63 :rule cnf_or_pos :args (@t85)) % 15.99/16.38 (step @p64 :rule reordering :premises (@p63) :args ((or @t84 @t83 (not @t85)))) % 15.99/16.38 (assume-push @p893 @t89) % 15.99/16.38 (step @p66 :rule instantiate :premises (@p893) :args (@t74)) % 15.99/16.38 (step-pop @p894 :rule scope :premises (@p66)) % 15.99/16.38 (step @p67 :rule process_scope :premises (@p894) :args (@t85)) % 15.99/16.38 (step @p69 :rule implies_elim :premises (@p67)) % 15.99/16.38 (assume-push @p895 @t90) % 15.99/16.38 (assume-push @p896 @t80) % 15.99/16.38 (assume-push @p897 @t81) % 15.99/16.38 (assume-push @p898 @t82) % 15.99/16.38 (assume-push @p899 @t92) % 15.99/16.38 (assume-push @p900 @t94) % 15.99/16.38 (assume-push @p901 @t96) % 15.99/16.38 (assume-push @p902 @t98) % 15.99/16.38 (assume-push @p903 @t90) % 15.99/16.38 (assume-push @p904 @t80) % 15.99/16.38 (assume-push @p905 @t82) % 15.99/16.38 (assume-push @p906 @t81) % 15.99/16.38 (assume-push @p907 @t98) % 15.99/16.38 (assume-push @p908 @t96) % 15.99/16.38 (assume-push @p909 @t94) % 15.99/16.38 (assume-push @p910 @t92) % 15.99/16.38 (step @p86 :rule symm :premises (@p896)) % 15.99/16.38 (step @p87 :rule symm :premises (@p897)) % 15.99/16.38 (step @p88 :rule symm :premises (@p898)) % 15.99/16.38 (step @p89 :rule cong :premises (@p88 @p87) :args (@t97)) % 15.99/16.38 (step @p90 :rule symm :premises (@p29)) % 15.99/16.38 (step @p91 :rule cong :premises (@p37 @p90) :args (@t99)) % 15.99/16.38 (step @p92 :rule symm :premises (@p28)) % 15.99/16.38 (step @p93 :rule cong :premises (@p92 @p29) :args (@t100)) % 15.99/16.38 (step @p94 :rule refl :args (tptp.sk_c7)) % 15.99/16.38 (step @p95 :rule cong :premises (@p28 @p94) :args (@t93)) % 15.99/16.38 (step @p96 :rule trans :premises (@p29 @p95 @p93 @p91 @p40 @p89 @p86 @p895)) % 15.99/16.38 (step-pop @p911 :rule scope :premises (@p96)) % 15.99/16.38 (step-pop @p912 :rule scope :premises (@p911)) % 15.99/16.38 (step-pop @p913 :rule scope :premises (@p912)) % 15.99/16.38 (step-pop @p914 :rule scope :premises (@p913)) % 15.99/16.38 (step-pop @p915 :rule scope :premises (@p914)) % 15.99/16.38 (step-pop @p916 :rule scope :premises (@p915)) % 15.99/16.38 (step-pop @p917 :rule scope :premises (@p916)) % 15.99/16.38 (step-pop @p918 :rule scope :premises (@p917)) % 15.99/16.38 (step @p97 :rule process_scope :premises (@p918) :args (@t101)) % 15.99/16.38 (step @p106 :rule and_intro :premises (@p895 @p896 @p898 @p897 @p40 @p37 @p29 @p28)) % 15.99/16.38 (step @p107 :rule modus_ponens :premises (@p106 @p97)) % 15.99/16.38 (step-pop @p919 :rule scope :premises (@p107)) % 15.99/16.38 (step-pop @p920 :rule scope :premises (@p919)) % 15.99/16.38 (step-pop @p921 :rule scope :premises (@p920)) % 15.99/16.38 (step-pop @p922 :rule scope :premises (@p921)) % 15.99/16.38 (step-pop @p923 :rule scope :premises (@p922)) % 15.99/16.38 (step-pop @p924 :rule scope :premises (@p923)) % 15.99/16.38 (step-pop @p925 :rule scope :premises (@p924)) % 15.99/16.38 (step-pop @p926 :rule scope :premises (@p925)) % 15.99/16.38 (step @p108 :rule process_scope :premises (@p926) :args (@t101)) % 15.99/16.38 (step @p117 :rule implies_elim :premises (@p108)) % 15.99/16.38 (step @p118 :rule cnf_and_neg :args (@t102)) % 15.99/16.38 (step @p119 :rule resolution :premises (@p118 @p117) :args (true @t102)) % 15.99/16.38 (step @p120 :rule reordering :premises (@p119) :args ((or @t110 @t109 @t108 @t107 @t106 @t101 @t105 @t104 @t103))) % 15.99/16.38 (step @p121 :rule instantiate :premises (@p33) :args (@t72)) % 15.99/16.38 (step @p122 :rule instantiate :premises (@p3) :args ((@list @t76 tptp.identity tptp.sk_c7))) % 15.99/16.38 (step @p123 :rule instantiate :premises (@p3) :args ((@list @t76 tptp.sk_c7 tptp.sk_c7))) % 15.99/16.38 (assume-push @p927 @t90) % 15.99/16.38 (assume-push @p928 @t78) % 15.99/16.38 (assume-push @p929 @t79) % 15.99/16.38 (assume-push @p930 @t80) % 15.99/16.38 (assume-push @p931 @t81) % 15.99/16.38 (assume-push @p932 @t82) % 15.99/16.38 (assume-push @p933 @t92) % 15.99/16.38 (assume-push @p934 @t94) % 15.99/16.38 (assume-push @p935 @t112) % 15.99/16.38 (assume-push @p936 @t114) % 15.99/16.38 (assume-push @p937 @t116) % 15.99/16.38 (assume-push @p938 @t118) % 15.99/16.38 (assume-push @p939 @t96) % 15.99/16.38 (assume-push @p940 @t122) % 15.99/16.38 (assume-push @p941 @t126) % 15.99/16.38 (assume-push @p942 @t129) % 15.99/16.38 (assume-push @p943 @t133) % 15.99/16.38 (assume-push @p944 @t98) % 15.99/16.38 (assume-push @p945 @t136) % 15.99/16.38 (assume-push @p946 @t122) % 15.99/16.38 (assume-push @p947 @t94) % 15.99/16.38 (assume-push @p948 @t92) % 15.99/16.38 (assume-push @p949 @t116) % 15.99/16.38 (assume-push @p950 @t126) % 15.99/16.38 (assume-push @p951 @t90) % 15.99/16.38 (assume-push @p952 @t112) % 15.99/16.38 (assume-push @p953 @t129) % 15.99/16.38 (assume-push @p954 @t133) % 15.99/16.38 (assume-push @p955 @t78) % 15.99/16.38 (assume-push @p956 @t79) % 15.99/16.38 (assume-push @p957 @t136) % 15.99/16.38 (assume-push @p958 @t118) % 15.99/16.38 (assume-push @p959 @t114) % 15.99/16.38 (assume-push @p960 @t80) % 15.99/16.38 (assume-push @p961 @t82) % 15.99/16.38 (assume-push @p962 @t81) % 15.99/16.38 (assume-push @p963 @t98) % 15.99/16.38 (assume-push @p964 @t96) % 15.99/16.38 (step @p94 :rule refl :args (tptp.sk_c7)) % 15.99/16.38 (step @p90 :rule symm :premises (@p29)) % 15.99/16.38 (step @p92 :rule symm :premises (@p28)) % 15.99/16.38 (step @p162 :rule cong :premises (@p92 @p94) :args (@t100)) % 15.99/16.38 (step @p163 :rule cong :premises (@p28 @p90) :args (@t99)) % 15.99/16.38 (step @p164 :rule symm :premises (@p34)) % 15.99/16.38 (step @p165 :rule cong :premises (@p164 @p29) :args (@t125)) % 15.99/16.38 (step @p166 :rule symm :premises (@p39)) % 15.99/16.38 (step @p167 :rule symm :premises (@p927)) % 15.99/16.38 (step @p168 :rule cong :premises (@p167 @p94) :args (@t111)) % 15.99/16.38 (step @p169 :rule trans :premises (@p121 @p168)) % 15.99/16.38 (step @p170 :rule refl :args (@t76)) % 15.99/16.38 (step @p171 :rule cong :premises (@p170 @p169) :args (@t127)) % 15.99/16.38 (step @p172 :rule trans :premises (@p171 @p166 @p165 @p163 @p162 @p90)) % 15.99/16.38 (step @p173 :rule cong :premises (@p172 @p94) :args (@t128)) % 15.99/16.38 (step @p174 :rule symm :premises (@p122)) % 15.99/16.38 (step @p175 :rule cong :premises (@p170 @p29) :args (@t131)) % 15.99/16.38 (step @p176 :rule trans :premises (@p175 @p174 @p173)) % 15.99/16.38 (step @p177 :rule cong :premises (@p176 @p94) :args (@t132)) % 15.99/16.38 (step @p178 :rule symm :premises (@p123)) % 15.99/16.38 (step @p179 :rule symm :premises (@p929)) % 15.99/16.38 (step @p180 :rule symm :premises (@p928)) % 15.99/16.38 (step @p181 :rule cong :premises (@p180 @p179) :args (@t134)) % 15.99/16.38 (step @p182 :rule symm :premises (@p30)) % 15.99/16.38 (step @p183 :rule cong :premises (@p35 @p182) :args (@t137)) % 15.99/16.38 (step @p184 :rule cong :premises (@p92 @p30) :args (@t138)) % 15.99/16.38 (step @p185 :rule refl :args (tptp.sk_c6)) % 15.99/16.38 (step @p186 :rule cong :premises (@p28 @p185) :args (@t113)) % 15.99/16.38 (step @p187 :rule cong :premises (@p180) :args (@t139)) % 15.99/16.38 (step @p188 :rule trans :premises (@p187 @p167 @p30 @p186 @p184 @p183 @p41 @p181)) % 15.99/16.38 (step @p189 :rule trans :premises (@p187 @p167)) % 15.99/16.38 (step @p190 :rule cong :premises (@p189) :args (@t140)) % 15.99/16.38 (step @p191 :rule cong :premises (@p190 @p188) :args (@t141)) % 15.99/16.38 (step @p192 :rule symm :premises (@p187)) % 15.99/16.38 (step @p193 :rule symm :premises (@p930)) % 15.99/16.38 (step @p194 :rule symm :premises (@p931)) % 15.99/16.38 (step @p195 :rule symm :premises (@p932)) % 15.99/16.38 (step @p196 :rule cong :premises (@p195 @p194) :args (@t97)) % 15.99/16.38 (step @p91 :rule cong :premises (@p37 @p90) :args (@t99)) % 15.99/16.38 (step @p93 :rule cong :premises (@p92 @p29) :args (@t100)) % 15.99/16.38 (step @p95 :rule cong :premises (@p28 @p94) :args (@t93)) % 15.99/16.38 (step @p197 :rule trans :premises (@p29 @p95 @p93 @p91 @p40 @p196 @p193 @p927 @p192)) % 15.99/16.38 (step @p198 :rule symm :premises (@p190)) % 15.99/16.38 (step @p199 :rule cong :premises (@p198 @p197) :args (@t131)) % 15.99/16.38 (step @p200 :rule symm :premises (@p175)) % 15.99/16.38 (step @p201 :rule symm :premises (@p173)) % 15.99/16.38 (step @p202 :rule trans :premises (@p30 @p186 @p184 @p183 @p41 @p181 @p201 @p122 @p200 @p199 @p191 @p178 @p177 @p38)) % 15.99/16.38 (step-pop @p965 :rule scope :premises (@p202)) % 15.99/16.38 (step-pop @p966 :rule scope :premises (@p965)) % 15.99/16.38 (step-pop @p967 :rule scope :premises (@p966)) % 15.99/16.38 (step-pop @p968 :rule scope :premises (@p967)) % 15.99/16.38 (step-pop @p969 :rule scope :premises (@p968)) % 15.99/16.38 (step-pop @p970 :rule scope :premises (@p969)) % 15.99/16.38 (step-pop @p971 :rule scope :premises (@p970)) % 15.99/16.38 (step-pop @p972 :rule scope :premises (@p971)) % 15.99/16.38 (step-pop @p973 :rule scope :premises (@p972)) % 15.99/16.38 (step-pop @p974 :rule scope :premises (@p973)) % 15.99/16.38 (step-pop @p975 :rule scope :premises (@p974)) % 15.99/16.38 (step-pop @p976 :rule scope :premises (@p975)) % 15.99/16.38 (step-pop @p977 :rule scope :premises (@p976)) % 15.99/16.38 (step-pop @p978 :rule scope :premises (@p977)) % 15.99/16.38 (step-pop @p979 :rule scope :premises (@p978)) % 15.99/16.38 (step-pop @p980 :rule scope :premises (@p979)) % 15.99/16.38 (step-pop @p981 :rule scope :premises (@p980)) % 15.99/16.38 (step-pop @p982 :rule scope :premises (@p981)) % 15.99/16.38 (step-pop @p983 :rule scope :premises (@p982)) % 15.99/16.38 (step @p203 :rule process_scope :premises (@p983) :args (@t142)) % 15.99/16.38 (step @p223 :rule and_intro :premises (@p38 @p29 @p28 @p34 @p39 @p927 @p121 @p122 @p123 @p928 @p929 @p41 @p35 @p30 @p930 @p932 @p931 @p40 @p37)) % 15.99/16.38 (step @p224 :rule modus_ponens :premises (@p223 @p203)) % 15.99/16.38 (step-pop @p984 :rule scope :premises (@p224)) % 15.99/16.38 (step-pop @p985 :rule scope :premises (@p984)) % 15.99/16.38 (step-pop @p986 :rule scope :premises (@p985)) % 15.99/16.38 (step-pop @p987 :rule scope :premises (@p986)) % 15.99/16.38 (step-pop @p988 :rule scope :premises (@p987)) % 15.99/16.38 (step-pop @p989 :rule scope :premises (@p988)) % 15.99/16.38 (step-pop @p990 :rule scope :premises (@p989)) % 15.99/16.38 (step-pop @p991 :rule scope :premises (@p990)) % 15.99/16.38 (step-pop @p992 :rule scope :premises (@p991)) % 15.99/16.38 (step-pop @p993 :rule scope :premises (@p992)) % 15.99/16.38 (step-pop @p994 :rule scope :premises (@p993)) % 15.99/16.38 (step-pop @p995 :rule scope :premises (@p994)) % 15.99/16.38 (step-pop @p996 :rule scope :premises (@p995)) % 15.99/16.38 (step-pop @p997 :rule scope :premises (@p996)) % 15.99/16.38 (step-pop @p998 :rule scope :premises (@p997)) % 15.99/16.38 (step-pop @p999 :rule scope :premises (@p998)) % 15.99/16.38 (step-pop @p1000 :rule scope :premises (@p999)) % 15.99/16.38 (step-pop @p1001 :rule scope :premises (@p1000)) % 15.99/16.38 (step-pop @p1002 :rule scope :premises (@p1001)) % 15.99/16.38 (step @p225 :rule process_scope :premises (@p1002) :args (@t142)) % 15.99/16.38 (step @p245 :rule implies_elim :premises (@p225)) % 15.99/16.38 (step @p246 :rule cnf_and_neg :args (@t143)) % 15.99/16.38 (step @p247 :rule resolution :premises (@p246 @p245) :args (true @t143)) % 15.99/16.38 (step @p248 :rule reordering :premises (@p247) :args ((or @t110 @t84 @t83 @t109 @t108 @t107 @t106 @t105 @t150 @t149 @t148 @t147 @t104 @t146 @t145 (not @t129) (not @t133) @t142 @t103 @t144))) % 15.99/16.38 (step @p249 :rule cnf_or_pos :args (@t153)) % 15.99/16.38 (step @p250 :rule reordering :premises (@p249) :args ((or @t151 @t152 (not @t153)))) % 15.99/16.38 (assume-push @p1003 @t158) % 15.99/16.38 (step @p252 :rule instantiate :premises (@p1003) :args (@t72)) % 15.99/16.38 (step-pop @p1004 :rule scope :premises (@p252)) % 15.99/16.38 (step @p253 :rule process_scope :premises (@p1004) :args (@t153)) % 15.99/16.38 (step @p255 :rule implies_elim :premises (@p253)) % 15.99/16.38 (step @p256 :rule aci_norm :args ((= (or @t155 false @t154) @t156))) % 15.99/16.38 (step @p257 :rule refl :args (@t154)) % 15.99/16.38 (step @p258 :rule 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15.99/16.38 (step @p273 :rule quant_var_reordering :args ((= @t169 @t168))) % 15.99/16.38 (step @p274 :rule trans :premises (@p273 @p272 @p270)) % 15.99/16.38 (step @p275 :rule trans :premises (@p274 @p265)) % 15.99/16.38 (step @p276 :rule refl :args (@t89)) % 15.99/16.38 (step @p277 :rule refl :args (@t173)) % 15.99/16.38 (step @p278 :rule refl :args (@t175)) % 15.99/16.38 (step @p279 :rule refl :args (@t110)) % 15.99/16.38 (step @p280 :rule nary_cong :premises (@p279 @p278 @p277 @p276 @p275) :args (@t176)) % 15.99/16.38 (step @p281 :rule quant-miniscope-or :args ((= (forall @t70 @t177) @t176))) % 15.99/16.38 (step @p282 :rule aci_norm :args ((= @t178 @t177))) % 15.99/16.38 (step @p283 :rule cong :premises (@p282) :args ((forall @t70 @t178))) % 15.99/16.38 (step @p284 :rule trans :premises (@p283 @p281)) % 15.99/16.38 (step @p285 :rule trans :premises (@p284 @p280)) % 15.99/16.38 (step @p286 :rule eq-symm :args (@t48 tptp.sk_c7)) % 15.99/16.38 (step @p287 :rule cong :premises (@p286) 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@t90) % 15.99/16.38 (assume-push @p1181 @t112) % 15.99/16.38 (assume-push @p1182 @t129) % 15.99/16.38 (assume-push @p1183 @t192) % 15.99/16.38 (assume-push @p1184 @t195) % 15.99/16.38 (assume-push @p1185 @t77) % 15.99/16.38 (assume-push @p1186 @t187) % 15.99/16.38 (assume-push @p1187 @t203) % 15.99/16.38 (assume-push @p1188 @t114) % 15.99/16.38 (assume-push @p1189 @t209) % 15.99/16.38 (assume-push @p1190 @t211) % 15.99/16.38 (step @p94 :rule refl :args (tptp.sk_c7)) % 15.99/16.38 (step @p90 :rule symm :premises (@p29)) % 15.99/16.38 (step @p92 :rule symm :premises (@p28)) % 15.99/16.38 (step @p162 :rule cong :premises (@p92 @p94) :args (@t100)) % 15.99/16.38 (step @p163 :rule cong :premises (@p28 @p90) :args (@t99)) % 15.99/16.38 (step @p164 :rule symm :premises (@p34)) % 15.99/16.38 (step @p165 :rule cong :premises (@p164 @p29) :args (@t125)) % 15.99/16.38 (step @p166 :rule symm :premises (@p39)) % 15.99/16.38 (step @p595 :rule symm :premises (@p1159)) % 15.99/16.38 (step @p596 :rule 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15.99/16.38 (step @p660 :rule cnf_and_neg :args (@t212)) % 15.99/16.38 (step @p661 :rule resolution :premises (@p660 @p659) :args (true @t212)) % 15.99/16.38 (step @p662 :rule chain_m_resolution :premises (@p255 @p250 @p661 @p482 @p444 @p122 @p562 @p39 @p38 @p561 @p443 @p34 @p30 @p121 @p29 @p28 @p307 @p560 @p555 @p553 @p482 @p444 @p39 @p443 @p34 @p30 @p121 @p29 @p28 @p481 @p444 @p443 @p29 @p28 @p442 @p437) :args ((or @t110 @t175 @t188 @t186) (@list true false false false false false false false false false false false false false false false true true false false false false false false false false false false false false false false false true true) (@list @t153 @t142 @t203 @t195 @t129 @t211 @t126 @t122 @t209 @t192 @t116 @t114 @t112 @t94 @t92 @t158 @t89 @t206 @t101 @t203 @t195 @t126 @t192 @t116 @t114 @t112 @t94 @t92 @t197 @t195 @t192 @t94 @t92 @t173 @t189))) % 15.99/16.38 (step @p663 :rule eq-symm :args (@t33 tptp.sk_c6)) % 15.99/16.38 (step @p664 :rule nary_cong :premises (@p663 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(assume-push @p1223 @t175) % 15.99/16.38 (step @p681 :rule instantiate :premises (@p1223) :args ((@list tptp.sk_c1))) % 15.99/16.38 (step-pop @p1224 :rule scope :premises (@p681)) % 15.99/16.38 (step @p682 :rule process_scope :premises (@p1224) :args (@t214)) % 15.99/16.38 (step @p684 :rule implies_elim :premises (@p682)) % 15.99/16.38 (step @p685 :rule reordering :premises (@p684) :args ((or @t214 (not @t175)))) % 15.99/16.38 (step @p686 :rule eq-symm :args (@t26 tptp.sk_c6)) % 15.99/16.38 (step @p687 :rule nary_cong :premises (@p686 @p42) :args (@t28)) % 15.99/16.38 (step @p688 :rule eq_resolve :premises (@p9 @p687)) % 15.99/16.38 (step @p689 :rule reordering :premises (@p688) :args ((or @t78 @t213))) % 15.99/16.38 (step @p690 :rule nary_cong :premises (@p686 @p47) :args (@t29)) % 15.99/16.38 (step @p691 :rule eq_resolve :premises (@p10 @p690)) % 15.99/16.38 (step @p692 :rule reordering :premises (@p691) :args ((or @t79 @t213))) % 15.99/16.38 (step @p693 :rule nary_cong :premises (@p686 @p51) :args (@t30)) % 15.99/16.38 (step @p694 :rule eq_resolve :premises (@p11 @p693)) % 15.99/16.38 (step @p695 :rule reordering :premises (@p694) :args ((or @t80 @t213))) % 15.99/16.38 (step @p696 :rule nary_cong :premises (@p686 @p55) :args (@t31)) % 15.99/16.38 (step @p697 :rule eq_resolve :premises (@p12 @p696)) % 15.99/16.38 (step @p698 :rule reordering :premises (@p697) :args ((or @t81 @t213))) % 15.99/16.38 (step @p699 :rule nary_cong :premises (@p686 @p59) :args (@t32)) % 15.99/16.38 (step @p700 :rule eq_resolve :premises (@p13 @p699)) % 15.99/16.38 (step @p701 :rule reordering :premises (@p700) :args ((or @t82 @t213))) % 15.99/16.38 (assume-push @p1225 @t175) % 15.99/16.38 (step @p703 :rule instantiate :premises (@p1225) :args (@t74)) % 15.99/16.38 (step-pop @p1226 :rule scope :premises (@p703)) % 15.99/16.38 (step @p704 :rule process_scope :premises (@p1226) :args (@t184)) % 15.99/16.38 (step @p706 :rule implies_elim :premises (@p704)) % 15.99/16.38 (step @p707 :rule chain_m_resolution :premises (@p706 @p427 @p41 @p40 @p122 @p39 @p309 @p37 @p35 @p308 @p34 @p30 @p121 @p29 @p28 @p701 @p698 @p695 @p692 @p689 @p685 @p679) :args (@t110 (@list false false false false false false false false false false false false false false false false false false false true false) (@list @t182 @t136 @t98 @t129 @t126 @t181 @t96 @t118 @t180 @t116 @t114 @t112 @t94 @t92 @t82 @t81 @t80 @t79 @t78 @t213 @t175))) % 15.99/16.38 (step @p708 :rule nary_cong :premises (@p302 @p42) :args (@t13)) % 15.99/16.38 (step @p709 :rule eq_resolve :premises (@p4 @p708)) % 15.99/16.38 (step @p710 :rule chain_m_resolution :premises (@p709 @p707) :args (@t78 @t215 @t216)) % 15.99/16.38 (step @p711 :rule nary_cong :premises (@p302 @p47) :args (@t16)) % 15.99/16.38 (step @p712 :rule eq_resolve :premises (@p5 @p711)) % 15.99/16.38 (step @p713 :rule chain_m_resolution :premises (@p712 @p707) :args (@t79 @t215 @t216)) % 15.99/16.38 (step @p714 :rule nary_cong :premises (@p302 @p51) :args (@t19)) % 15.99/16.38 (step @p715 :rule eq_resolve :premises (@p6 @p714)) % 15.99/16.38 (step @p716 :rule chain_m_resolution :premises (@p715 @p707) :args (@t80 @t215 @t216)) % 15.99/16.38 (step @p717 :rule nary_cong :premises (@p302 @p55) :args (@t22)) % 15.99/16.38 (step @p718 :rule eq_resolve :premises (@p7 @p717)) % 15.99/16.38 (step @p719 :rule chain_m_resolution :premises (@p718 @p707) :args (@t81 @t215 @t216)) % 15.99/16.38 (step @p720 :rule nary_cong :premises (@p302 @p59) :args (@t25)) % 15.99/16.38 (step @p721 :rule eq_resolve :premises (@p8 @p720)) % 15.99/16.38 (step @p722 :rule chain_m_resolution :premises (@p721 @p707) :args (@t82 @t215 @t216)) % 15.99/16.38 (step @p723 :rule refl :args (@t144)) % 15.99/16.38 (step @p724 :rule refl :args (@t103)) % 15.99/16.38 (step @p725 :rule refl :args (@t145)) % 15.99/16.38 (step @p726 :rule refl :args (@t146)) % 15.99/16.38 (step @p727 :rule refl :args (@t104)) % 15.99/16.38 (step @p728 :rule refl :args (@t219)) % 15.99/16.38 (step @p729 :rule refl :args (@t147)) % 15.99/16.38 (step @p730 :rule refl :args (@t148)) % 15.99/16.38 (step @p731 :rule refl :args (@t149)) % 15.99/16.38 (step @p732 :rule refl :args (@t105)) % 15.99/16.38 (step @p733 :rule refl :args (@t106)) % 15.99/16.38 (step @p734 :rule bool-double-not-elim :args (@t90)) % 15.99/16.38 (step @p735 :rule refl :args (@t107)) % 15.99/16.38 (step @p736 :rule refl :args (@t108)) % 15.99/16.38 (step @p737 :rule refl :args (@t109)) % 15.99/16.38 (step @p738 :rule refl :args (@t83)) % 15.99/16.38 (step @p739 :rule refl :args (@t84)) % 15.99/16.38 (step @p740 :rule nary_cong :premises (@p739 @p738 @p737 @p736 @p735 @p734 @p733 @p732 @p731 @p730 @p729 @p728 @p727 @p726 @p725 @p724 @p723) :args ((or @t84 @t83 @t109 @t108 @t107 (not @t110) @t106 @t105 @t149 @t148 @t147 @t219 @t104 @t146 @t145 @t103 @t144))) % 15.99/16.38 (assume-push @p1227 @t221) % 15.99/16.38 (assume-push @p1228 @t220) % 15.99/16.38 (step @p743 :rule evaluate :args ((= false true))) % 15.99/16.38 (step @p744 :rule true_intro :premises (@p1228)) % 15.99/16.38 (step @p745 :rule false_intro :premises (@p1227)) % 15.99/16.38 (step @p746 :rule symm :premises (@p745)) % 15.99/16.38 (step @p747 :rule trans :premises (@p746 @p744)) % 15.99/16.38 (step @p748 false :rule eq_resolve :premises (@p747 @p743)) % 15.99/16.38 (step-pop @p1229 :rule scope :premises (@p748)) % 15.99/16.38 (step-pop @p1230 :rule scope :premises (@p1229)) % 15.99/16.38 (step @p749 :rule process_scope :premises (@p1230) :args (false)) % 15.99/16.38 (assume-push @p1231 @t78) % 15.99/16.38 (assume-push @p1232 @t79) % 15.99/16.38 (assume-push @p1233 @t80) % 15.99/16.38 (assume-push @p1234 @t81) % 15.99/16.38 (assume-push @p1235 @t82) % 15.99/16.38 (assume-push @p1236 @t110) % 15.99/16.38 (assume-push @p1237 @t92) % 15.99/16.38 (assume-push @p1238 @t94) % 15.99/16.38 (assume-push @p1239 @t114) % 15.99/16.38 (assume-push @p1240 @t116) % 15.99/16.38 (assume-push @p1241 @t118) % 15.99/16.38 (assume-push @p1242 @t218) % 15.99/16.38 (assume-push @p1243 @t96) % 15.99/16.38 (assume-push @p1244 @t122) % 15.99/16.38 (assume-push @p1245 @t126) % 15.99/16.38 (assume-push @p1246 @t98) % 15.99/16.38 (assume-push @p1247 @t136) % 15.99/16.38 (assume-push @p1248 @t78) % 15.99/16.38 (assume-push @p1249 @t94) % 15.99/16.38 (assume-push @p1250 @t92) % 15.99/16.38 (assume-push @p1251 @t116) % 15.99/16.38 (assume-push @p1252 @t126) % 15.99/16.38 (assume-push @p1253 @t114) % 15.99/16.38 (assume-push @p1254 @t118) % 15.99/16.38 (assume-push @p1255 @t136) % 15.99/16.38 (assume-push @p1256 @t79) % 15.99/16.38 (assume-push @p1257 @t122) % 15.99/16.38 (assume-push @p1258 @t80) % 15.99/16.38 (assume-push @p1259 @t82) % 15.99/16.38 (assume-push @p1260 @t81) % 15.99/16.38 (assume-push @p1261 @t98) % 15.99/16.38 (assume-push @p1262 @t96) % 15.99/16.38 (assume-push @p1263 @t218) % 15.99/16.38 (step @p785 :rule cong :premises (@p1231) :args (@t11)) % 15.99/16.38 (step @p90 :rule symm :premises (@p29)) % 15.99/16.38 (step @p94 :rule refl :args (tptp.sk_c7)) % 15.99/16.38 (step @p92 :rule symm :premises (@p28)) % 15.99/16.38 (step @p162 :rule cong :premises (@p92 @p94) :args (@t100)) % 15.99/16.38 (step @p163 :rule cong :premises (@p28 @p90) :args (@t99)) % 15.99/16.38 (step @p164 :rule symm :premises (@p34)) % 15.99/16.38 (step @p165 :rule cong :premises (@p164 @p29) :args (@t125)) % 15.99/16.38 (step @p166 :rule symm :premises (@p39)) % 15.99/16.38 (step @p182 :rule symm :premises (@p30)) % 15.99/16.38 (step @p185 :rule refl :args (tptp.sk_c6)) % 15.99/16.38 (step @p507 :rule cong :premises (@p92 @p185) :args (@t138)) % 15.99/16.38 (step @p508 :rule cong :premises (@p28 @p182) :args (@t137)) % 15.99/16.38 (step @p786 :rule symm :premises (@p35)) % 15.99/16.38 (step @p787 :rule cong :premises (@p786 @p30) :args (@t135)) % 15.99/16.38 (step @p788 :rule symm :premises (@p41)) % 15.99/16.38 (step @p789 :rule cong :premises (@p1231 @p1232) :args (@t119)) % 15.99/16.38 (step @p790 :rule trans :premises (@p789 @p788 @p787 @p508 @p507 @p182)) % 15.99/16.38 (step @p791 :rule cong :premises (@p790 @p94) :args (@t121)) % 15.99/16.38 (step @p792 :rule symm :premises (@p38)) % 15.99/16.38 (step @p793 :rule symm :premises (@p789)) % 15.99/16.38 (step @p183 :rule cong :premises (@p35 @p182) :args (@t137)) % 15.99/16.38 (step @p184 :rule cong :premises (@p92 @p30) :args (@t138)) % 15.99/16.38 (step @p186 :rule cong :premises (@p28 @p185) :args (@t113)) % 15.99/16.38 (step @p794 :rule symm :premises (@p1233)) % 15.99/16.38 (step @p795 :rule symm :premises (@p1234)) % 15.99/16.38 (step @p796 :rule symm :premises (@p1235)) % 15.99/16.38 (step @p797 :rule cong :premises (@p796 @p795) :args (@t97)) % 15.99/16.38 (step @p91 :rule cong :premises (@p37 @p90) :args (@t99)) % 15.99/16.38 (step @p93 :rule cong :premises (@p92 @p29) :args (@t100)) % 15.99/16.38 (step @p95 :rule cong :premises (@p28 @p94) :args (@t93)) % 15.99/16.38 (step @p798 :rule trans :premises (@p29 @p95 @p93 @p91 @p40 @p797 @p794 @p30 @p186 @p184 @p183 @p41 @p793)) % 15.99/16.38 (step @p799 :rule cong :premises (@p94 @p798) :args (@t119)) % 15.99/16.38 (step @p800 :rule trans :premises (@p29 @p95 @p93 @p91 @p40 @p797 @p794 @p30 @p186 @p184 @p183 @p41 @p793 @p799 @p792 @p791)) % 15.99/16.38 (step @p170 :rule refl :args (@t76)) % 15.99/16.38 (step @p801 :rule cong :premises (@p170 @p800) :args (@t131)) % 15.99/16.38 (step @p802 :rule symm :premises (@p798)) % 15.99/16.38 (step @p803 :rule cong :premises (@p170 @p802) :args (@t130)) % 15.99/16.38 (step @p804 :rule symm :premises (@p790)) % 15.99/16.38 (step @p805 :rule cong :premises (@p170 @p804) :args (@t115)) % 15.99/16.38 (step @p806 :rule symm :premises (@p37)) % 15.99/16.38 (step @p807 :rule symm :premises (@p36)) % 15.99/16.38 (step @p808 :rule trans :premises (@p34 @p805 @p803 @p801 @p166 @p165 @p163 @p162 @p90)) % 15.99/16.38 (step @p809 :rule trans :premises (@p808 @p1235)) % 15.99/16.38 (step @p810 :rule cong :premises (@p809 @p807) :args ((tptp.multiply tptp.identity @t217))) % 15.99/16.38 (step @p811 :rule cong :premises (@p92 @p36) :args ((tptp.multiply @t91 tptp.sk_c4))) % 15.99/16.38 (step @p812 :rule refl :args (tptp.sk_c4)) % 15.99/16.38 (step @p813 :rule cong :premises (@p28 @p812) :args (@t217)) % 15.99/16.38 (step @p814 :rule trans :premises (@p36 @p813 @p811 @p810 @p806 @p34 @p805 @p803 @p801 @p166 @p165 @p163 @p162 @p90)) % 15.99/16.38 (step @p815 :rule cong :premises (@p814) :args (@t23)) % 15.99/16.38 (step @p816 :rule trans :premises (@p1235 @p815 @p785)) % 15.99/16.38 (step-pop @p1264 :rule scope :premises (@p816)) % 15.99/16.38 (step-pop @p1265 :rule scope :premises (@p1264)) % 15.99/16.38 (step-pop @p1266 :rule scope :premises (@p1265)) % 15.99/16.38 (step-pop @p1267 :rule scope :premises (@p1266)) % 15.99/16.38 (step-pop @p1268 :rule scope :premises (@p1267)) % 15.99/16.38 (step-pop @p1269 :rule scope :premises (@p1268)) % 15.99/16.38 (step-pop @p1270 :rule scope :premises (@p1269)) % 15.99/16.38 (step-pop @p1271 :rule scope :premises (@p1270)) % 15.99/16.38 (step-pop @p1272 :rule scope :premises (@p1271)) % 15.99/16.38 (step-pop @p1273 :rule scope :premises (@p1272)) % 15.99/16.38 (step-pop @p1274 :rule scope :premises (@p1273)) % 15.99/16.38 (step-pop @p1275 :rule scope :premises (@p1274)) % 15.99/16.38 (step-pop @p1276 :rule scope :premises (@p1275)) % 15.99/16.38 (step-pop @p1277 :rule scope :premises (@p1276)) % 15.99/16.38 (step-pop @p1278 :rule scope :premises (@p1277)) % 15.99/16.38 (step-pop @p1279 :rule scope :premises (@p1278)) % 15.99/16.38 (step @p817 :rule process_scope :premises (@p1279) :args (@t220)) % 15.99/16.38 (step @p834 :rule and_intro :premises (@p1231 @p29 @p28 @p34 @p39 @p30 @p35 @p41 @p1232 @p38 @p1233 @p1235 @p1234 @p40 @p37 @p36)) % 15.99/16.38 (step @p835 :rule modus_ponens :premises (@p834 @p817)) % 15.99/16.38 (assume-push @p1280 @t110) % 15.99/16.38 (assume-push @p1281 @t80) % 15.99/16.38 (assume-push @p1282 @t82) % 15.99/16.38 (assume-push @p1283 @t81) % 15.99/16.38 (assume-push @p1284 @t98) % 15.99/16.38 (assume-push @p1285 @t96) % 15.99/16.38 (assume-push @p1286 @t94) % 15.99/16.38 (assume-push @p1287 @t92) % 15.99/16.38 (assume-push @p1288 @t78) % 15.99/16.38 (step @p845 :rule false_intro :premises (@p1236)) % 15.99/16.38 (step @p846 :rule symm :premises (@p1231)) % 15.99/16.38 (step @p847 :rule cong :premises (@p846) :args (@t139)) % 15.99/16.38 (step @p848 :rule symm :premises (@p1233)) % 15.99/16.38 (step @p849 :rule symm :premises (@p1234)) % 15.99/16.38 (step @p850 :rule symm :premises (@p1235)) % 15.99/16.39 (step @p851 :rule cong :premises (@p850 @p849) :args (@t97)) % 15.99/16.39 (step @p90 :rule symm :premises (@p29)) % 15.99/16.39 (step @p91 :rule cong :premises (@p37 @p90) :args (@t99)) % 15.99/16.39 (step @p92 :rule symm :premises (@p28)) % 15.99/16.39 (step @p93 :rule cong :premises (@p92 @p29) :args (@t100)) % 15.99/16.39 (step @p94 :rule refl :args (tptp.sk_c7)) % 15.99/16.39 (step @p95 :rule cong :premises (@p28 @p94) :args (@t93)) % 15.99/16.39 (step @p852 :rule trans :premises (@p29 @p95 @p93 @p91 @p40 @p851 @p848)) % 15.99/16.39 (step @p853 :rule cong :premises (@p852 @p847) :args (@t220)) % 15.99/16.39 (step @p854 :rule trans :premises (@p853 @p845)) % 15.99/16.39 (step @p855 :rule false_elim :premises (@p854)) % 15.99/16.39 (step-pop @p1289 :rule scope :premises (@p855)) % 15.99/16.39 (step-pop @p1290 :rule scope :premises (@p1289)) % 15.99/16.39 (step-pop @p1291 :rule scope :premises (@p1290)) % 15.99/16.39 (step-pop @p1292 :rule scope :premises (@p1291)) % 15.99/16.39 (step-pop @p1293 :rule scope :premises (@p1292)) % 15.99/16.39 (step-pop @p1294 :rule scope :premises (@p1293)) % 15.99/16.39 (step-pop @p1295 :rule scope :premises (@p1294)) % 15.99/16.39 (step-pop @p1296 :rule scope :premises (@p1295)) % 15.99/16.39 (step-pop @p1297 :rule scope :premises (@p1296)) % 15.99/16.39 (step @p856 :rule process_scope :premises (@p1297) :args (@t221)) % 15.99/16.39 (step @p866 :rule and_intro :premises (@p1236 @p1233 @p1235 @p1234 @p40 @p37 @p29 @p28 @p1231)) % 15.99/16.39 (step @p867 :rule modus_ponens :premises (@p866 @p856)) % 15.99/16.39 (step @p868 :rule and_intro :premises (@p867 @p835)) % 15.99/16.39 (step-pop @p1298 :rule scope :premises (@p868)) % 15.99/16.39 (step-pop @p1299 :rule scope :premises (@p1298)) % 15.99/16.39 (step-pop @p1300 :rule scope :premises (@p1299)) % 15.99/16.39 (step-pop @p1301 :rule scope :premises (@p1300)) % 15.99/16.39 (step-pop @p1302 :rule scope :premises (@p1301)) % 15.99/16.39 (step-pop @p1303 :rule scope :premises (@p1302)) % 15.99/16.39 (step-pop @p1304 :rule scope :premises (@p1303)) % 15.99/16.39 (step-pop @p1305 :rule scope :premises (@p1304)) % 15.99/16.39 (step-pop @p1306 :rule scope :premises (@p1305)) % 15.99/16.39 (step-pop @p1307 :rule scope :premises (@p1306)) % 15.99/16.39 (step-pop @p1308 :rule scope :premises (@p1307)) % 15.99/16.39 (step-pop @p1309 :rule scope :premises (@p1308)) % 15.99/16.39 (step-pop @p1310 :rule scope :premises (@p1309)) % 15.99/16.39 (step-pop @p1311 :rule scope :premises (@p1310)) % 15.99/16.39 (step-pop @p1312 :rule scope :premises (@p1311)) % 15.99/16.39 (step-pop @p1313 :rule scope :premises (@p1312)) % 15.99/16.39 (step-pop @p1314 :rule scope :premises (@p1313)) % 15.99/16.39 (step @p869 :rule process_scope :premises (@p1314) :args (@t222)) % 15.99/16.39 (step @p887 :rule implies_elim :premises (@p869)) % 15.99/16.39 (step @p888 :rule resolution :premises (@p887 @p749) :args (true @t222)) % 15.99/16.39 (step @p889 :rule not_and :premises (@p888)) % 15.99/16.39 (step @p890 :rule eq_resolve :premises (@p889 @p740)) % 15.99/16.39 (step @p891 :rule reordering :premises (@p890) :args ((or @t90 @t84 @t83 @t109 @t108 @t107 @t106 @t105 @t149 @t148 @t147 @t219 @t104 @t146 @t145 @t103 @t144))) % 15.99/16.39 (step @p892 false :rule chain_m_resolution :premises (@p891 @p722 @p719 @p716 @p713 @p710 @p707 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p30 @p29 @p28) :args (false (@list false false false false false true false false false false false false false false false false false) (@list @t82 @t81 @t80 @t79 @t78 @t90 @t136 @t98 @t126 @t122 @t96 @t218 @t118 @t116 @t114 @t94 @t92))) % 15.99/16.39 ) % 15.99/16.39 % SZS output end Proof % 15.99/16.39 % cvc5 exiting %------------------------------------------------------------------------------