%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP346-1 : 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 : n006.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 08:20:32 AM UTC 2026 % Result : Unsatisfiable 16.09s 16.47s % Output : Proof 16.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP346-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:02:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 16.09/16.47 % SZS status Unsatisfiable % 16.09/16.47 % SZS output start Proof % 16.09/16.49 ( % 16.09/16.49 (declare-sort $$unsorted 0) % 16.09/16.49 (declare-const tptp.sk_c6 $$unsorted) % 16.09/16.49 (declare-const tptp.sk_c1 $$unsorted) % 16.09/16.49 (declare-const tptp.sk_c5 $$unsorted) % 16.09/16.49 (declare-const tptp.sk_c3 $$unsorted) % 16.09/16.49 (declare-const tptp.sk_c7 $$unsorted) % 16.09/16.49 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.09/16.49 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.09/16.49 (declare-const tptp.sk_c2 $$unsorted) % 16.09/16.49 (declare-const tptp.sk_c4 $$unsorted) % 16.09/16.49 (declare-const tptp.identity $$unsorted) % 16.09/16.49 (define @t1 () (@var "X" $$unsorted)) % 16.09/16.49 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.09/16.49 (define @t3 () (@list @t1)) % 16.09/16.49 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.09/16.49 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.09/16.49 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.09/16.49 (define @t7 () (@var "Z" $$unsorted)) % 16.09/16.49 (define @t8 () (@var "Y" $$unsorted)) % 16.09/16.49 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.09/16.49 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c5)) % 16.09/16.49 (define @t11 () (= @t10 tptp.sk_c7)) % 16.09/16.49 (define @t12 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 16.09/16.49 (define @t13 () (= @t12 tptp.sk_c5)) % 16.09/16.49 (define @t14 () (or @t13 @t11)) % 16.09/16.49 (define @t15 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 16.09/16.49 (define @t16 () (= @t15 tptp.sk_c6)) % 16.09/16.49 (define @t17 () (or @t13 @t16)) % 16.09/16.49 (define @t18 () (tptp.inverse tptp.sk_c7)) % 16.09/16.49 (define @t19 () (= @t18 tptp.sk_c5)) % 16.09/16.49 (define @t20 () (or @t13 @t19)) % 16.09/16.49 (define @t21 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.09/16.49 (define @t22 () (= @t21 tptp.sk_c7)) % 16.09/16.49 (define @t23 () (or @t13 @t22)) % 16.09/16.49 (define @t24 () (tptp.inverse tptp.sk_c3)) % 16.09/16.49 (define @t25 () (= @t24 tptp.sk_c6)) % 16.09/16.49 (define @t26 () (or @t13 @t25)) % 16.09/16.49 (define @t27 () (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)) % 16.09/16.49 (define @t28 () (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) % 16.09/16.49 (define @t29 () (tptp.inverse tptp.sk_c1)) % 16.09/16.49 (define @t30 () (= @t29 tptp.sk_c7)) % 16.09/16.49 (define @t31 () (or @t30 @t11)) % 16.09/16.49 (define @t32 () (or @t30 @t16)) % 16.09/16.49 (define @t33 () (or @t30 @t19)) % 16.09/16.49 (define @t34 () (or @t30 @t22)) % 16.09/16.49 (define @t35 () (or @t30 @t25)) % 16.09/16.49 (define @t36 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 16.09/16.49 (define @t37 () (= @t36 tptp.sk_c7)) % 16.09/16.49 (define @t38 () (or @t37 @t11)) % 16.09/16.49 (define @t39 () (or @t37 @t19)) % 16.09/16.49 (define @t40 () (or @t37 @t22)) % 16.09/16.49 (define @t41 () (or @t37 @t25)) % 16.09/16.49 (define @t42 () (tptp.inverse tptp.sk_c2)) % 16.09/16.49 (define @t43 () (= @t42 tptp.sk_c6)) % 16.09/16.49 (define @t44 () (or @t43 @t11)) % 16.09/16.49 (define @t45 () (or @t43 @t16)) % 16.09/16.49 (define @t46 () (or @t43 @t19)) % 16.09/16.49 (define @t47 () (or @t43 @t22)) % 16.09/16.49 (define @t48 () (or @t43 @t25)) % 16.09/16.49 (define @t49 () (tptp.multiply tptp.sk_c2 tptp.sk_c5)) % 16.09/16.49 (define @t50 () (= @t49 tptp.sk_c6)) % 16.09/16.49 (define @t51 () (or @t50 @t19)) % 16.09/16.49 (define @t52 () (or @t50 @t22)) % 16.09/16.49 (define @t53 () (or @t50 @t25)) % 16.09/16.49 (define @t54 () (@var "X2" $$unsorted)) % 16.09/16.49 (define @t55 () (tptp.inverse @t54)) % 16.09/16.49 (define @t56 () (not (= @t55 tptp.sk_c7))) % 16.09/16.49 (define @t57 () (tptp.multiply @t54 tptp.sk_c7)) % 16.09/16.49 (define @t58 () (not (= @t57 tptp.sk_c5))) % 16.09/16.49 (define @t59 () (@var "X1" $$unsorted)) % 16.09/16.49 (define @t60 () (tptp.inverse @t59)) % 16.09/16.49 (define @t61 () (not (= @t60 tptp.sk_c6))) % 16.09/16.49 (define @t62 () (tptp.multiply @t59 tptp.sk_c6)) % 16.09/16.49 (define @t63 () (not (= @t62 tptp.sk_c7))) % 16.09/16.49 (define @t64 () (not @t19)) % 16.09/16.50 (define @t65 () (not @t16)) % 16.09/16.50 (define @t66 () (not @t11)) % 16.09/16.50 (define @t67 () (@var "X4" $$unsorted)) % 16.09/16.50 (define @t68 () (tptp.multiply @t67 tptp.sk_c5)) % 16.09/16.50 (define @t69 () (not (= @t68 tptp.sk_c6))) % 16.09/16.50 (define @t70 () (tptp.inverse @t67)) % 16.09/16.50 (define @t71 () (not (= @t70 tptp.sk_c6))) % 16.09/16.50 (define @t72 () (@var "X3" $$unsorted)) % 16.09/16.50 (define @t73 () (tptp.multiply @t72 tptp.sk_c6)) % 16.09/16.50 (define @t74 () (not (= @t73 tptp.sk_c7))) % 16.09/16.50 (define @t75 () (tptp.inverse @t72)) % 16.09/16.50 (define @t76 () (not (= @t75 tptp.sk_c7))) % 16.09/16.50 (define @t77 () (not @t13)) % 16.09/16.50 (define @t78 () (or @t77 @t76 @t74 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t58 @t56)) % 16.09/16.50 (define @t79 () (@list @t72 @t67 @t59 @t54)) % 16.09/16.50 (define @t80 () (forall @t79 @t78)) % 16.09/16.50 (define @t81 () (@list tptp.sk_c6)) % 16.09/16.50 (define @t82 () (@list tptp.sk_c7)) % 16.09/16.50 (define @t83 () (@list tptp.sk_c5)) % 16.09/16.50 (define @t84 () (tptp.inverse tptp.sk_c5)) % 16.09/16.50 (define @t85 () (= tptp.sk_c7 @t36)) % 16.09/16.50 (define @t86 () (not @t85)) % 16.09/16.50 (define @t87 () (= tptp.sk_c7 @t29)) % 16.09/16.50 (define @t88 () (not @t87)) % 16.09/16.50 (define @t89 () (or @t88 @t86)) % 16.09/16.50 (define @t90 () (not (= tptp.sk_c7 @t73))) % 16.09/16.50 (define @t91 () (not (= tptp.sk_c7 @t75))) % 16.09/16.50 (define @t92 () (or @t91 @t90)) % 16.09/16.50 (define @t93 () (forall (@list @t72) @t92)) % 16.09/16.50 (define @t94 () (@list tptp.sk_c1)) % 16.09/16.50 (define @t95 () (@list tptp.sk_c2)) % 16.09/16.50 (define @t96 () (= tptp.sk_c5 @t12)) % 16.09/16.50 (define @t97 () (= tptp.sk_c6 @t42)) % 16.09/16.50 (define @t98 () (= tptp.sk_c6 @t49)) % 16.09/16.50 (define @t99 () (tptp.multiply tptp.identity tptp.identity)) % 16.09/16.50 (define @t100 () (= tptp.identity @t99)) % 16.09/16.50 (define @t101 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.09/16.50 (define @t102 () (= tptp.sk_c6 @t101)) % 16.09/16.50 (define @t103 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.09/16.50 (define @t104 () (= tptp.sk_c5 @t103)) % 16.09/16.50 (define @t105 () (tptp.multiply @t29 tptp.sk_c1)) % 16.09/16.50 (define @t106 () (= tptp.identity @t105)) % 16.09/16.50 (define @t107 () (tptp.multiply @t42 tptp.sk_c2)) % 16.09/16.50 (define @t108 () (= tptp.identity @t107)) % 16.09/16.50 (define @t109 () (tptp.multiply @t42 @t49)) % 16.09/16.50 (define @t110 () (= (tptp.multiply @t107 tptp.sk_c5) @t109)) % 16.09/16.50 (define @t111 () (tptp.multiply @t29 @t36)) % 16.09/16.50 (define @t112 () (= (tptp.multiply @t105 tptp.sk_c6) @t111)) % 16.09/16.50 (define @t113 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 16.09/16.50 (define @t114 () (tptp.multiply tptp.sk_c7 @t113)) % 16.09/16.50 (define @t115 () (= (tptp.multiply @t113 tptp.sk_c7) @t114)) % 16.09/16.50 (define @t116 () (tptp.multiply tptp.sk_c6 @t113)) % 16.09/16.50 (define @t117 () (tptp.multiply @t12 tptp.sk_c7)) % 16.09/16.50 (define @t118 () (= @t117 @t116)) % 16.09/16.50 (define @t119 () (tptp.multiply tptp.sk_c5 tptp.sk_c7)) % 16.09/16.50 (define @t120 () (tptp.multiply tptp.sk_c2 @t119)) % 16.09/16.50 (define @t121 () (tptp.multiply @t49 tptp.sk_c7)) % 16.09/16.50 (define @t122 () (= @t121 @t120)) % 16.09/16.50 (define @t123 () (tptp.multiply tptp.identity @t101)) % 16.09/16.50 (define @t124 () (tptp.multiply @t99 tptp.sk_c6)) % 16.09/16.50 (define @t125 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 16.09/16.50 (define @t126 () (tptp.multiply tptp.identity @t103)) % 16.09/16.50 (define @t127 () (tptp.multiply @t99 tptp.sk_c5)) % 16.09/16.50 (define @t128 () (= tptp.sk_c6 @t15)) % 16.09/16.50 (define @t129 () (and @t96 @t87 @t85 @t97 @t98 @t100 @t102 @t104 @t106 @t108 @t110 @t112 @t115 @t118 @t122)) % 16.09/16.50 (define @t130 () (not @t122)) % 16.09/16.50 (define @t131 () (not @t118)) % 16.09/16.50 (define @t132 () (not @t112)) % 16.09/16.50 (define @t133 () (not @t110)) % 16.09/16.50 (define @t134 () (not @t108)) % 16.09/16.50 (define @t135 () (not @t106)) % 16.09/16.50 (define @t136 () (not @t104)) % 16.09/16.50 (define @t137 () (not @t102)) % 16.09/16.50 (define @t138 () (not @t100)) % 16.09/16.50 (define @t139 () (not @t98)) % 16.09/16.50 (define @t140 () (not @t97)) % 16.09/16.50 (define @t141 () (not @t96)) % 16.09/16.50 (define @t142 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.09/16.50 (define @t143 () (= tptp.sk_c7 @t142)) % 16.09/16.50 (define @t144 () (tptp.multiply @t84 tptp.sk_c5)) % 16.09/16.50 (define @t145 () (= tptp.identity @t144)) % 16.09/16.50 (define @t146 () (tptp.multiply tptp.sk_c6 @t125)) % 16.09/16.50 (define @t147 () (tptp.multiply @t125 tptp.sk_c6)) % 16.09/16.50 (define @t148 () (= @t147 @t146)) % 16.09/16.50 (define @t149 () (tptp.multiply tptp.sk_c6 @t142)) % 16.09/16.50 (define @t150 () (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) @t149)) % 16.09/16.50 (define @t151 () (tptp.multiply tptp.sk_c6 @t12)) % 16.09/16.50 (define @t152 () (tptp.multiply @t125 tptp.sk_c7)) % 16.09/16.50 (define @t153 () (= @t152 @t151)) % 16.09/16.50 (define @t154 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 16.09/16.50 (define @t155 () (tptp.multiply @t84 @t154)) % 16.09/16.50 (define @t156 () (tptp.multiply @t144 tptp.sk_c6)) % 16.09/16.50 (define @t157 () (= @t156 @t155)) % 16.09/16.50 (define @t158 () (tptp.multiply @t84 @t119)) % 16.09/16.50 (define @t159 () (tptp.multiply @t144 tptp.sk_c7)) % 16.09/16.50 (define @t160 () (= @t159 @t158)) % 16.09/16.50 (define @t161 () (tptp.multiply tptp.identity @t142)) % 16.09/16.50 (define @t162 () (tptp.multiply @t99 tptp.sk_c7)) % 16.09/16.50 (define @t163 () (= tptp.sk_c7 @t10)) % 16.09/16.50 (define @t164 () (and @t96 @t87 @t85 @t97 @t98 @t100 @t102 @t143 @t104 @t145 @t106 @t108 @t110 @t148 @t112 @t150 @t153 @t118 @t157 @t160 @t122)) % 16.09/16.50 (define @t165 () (not @t160)) % 16.09/16.50 (define @t166 () (not @t157)) % 16.09/16.50 (define @t167 () (not @t153)) % 16.09/16.50 (define @t168 () (not @t150)) % 16.09/16.50 (define @t169 () (not @t148)) % 16.09/16.50 (define @t170 () (not @t145)) % 16.09/16.50 (define @t171 () (not @t143)) % 16.09/16.50 (define @t172 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.09/16.50 (define @t173 () (= tptp.sk_c1 @t172)) % 16.09/16.50 (define @t174 () (tptp.inverse tptp.identity)) % 16.09/16.50 (define @t175 () (tptp.multiply tptp.identity @t172)) % 16.09/16.50 (define @t176 () (tptp.multiply @t99 tptp.sk_c1)) % 16.09/16.50 (define @t177 () (= tptp.sk_c5 @t18)) % 16.09/16.50 (define @t178 () (and @t96 @t87 @t85 @t97 @t98 @t100 @t102 @t143 @t104 @t145 @t173 @t106 @t108 @t110 @t148 @t112 @t150 @t153 @t118 @t157 @t160 @t122)) % 16.09/16.50 (define @t179 () (not @t173)) % 16.09/16.50 (define @t180 () (= tptp.sk_c7 @t18)) % 16.09/16.50 (define @t181 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) % 16.09/16.50 (define @t182 () (and @t96 @t87 @t85 @t97 @t98 @t100 @t102 @t143 @t104 @t145 @t106 @t108 @t110 @t148 @t112 @t115 @t150 @t153 @t118 @t157 @t160 @t122)) % 16.09/16.50 (define @t183 () (not @t181)) % 16.09/16.50 (define @t184 () (not @t180)) % 16.09/16.50 (define @t185 () (or @t184 @t183)) % 16.09/16.50 (define @t186 () (forall @t3 (= tptp.identity @t5))) % 16.09/16.50 (define @t187 () (forall @t3 (= @t1 @t2))) % 16.09/16.50 (define @t188 () (= tptp.sk_c6 @t18)) % 16.09/16.50 (define @t189 () (not @t128)) % 16.09/16.50 (define @t190 () (not @t188)) % 16.09/16.50 (define @t191 () (or @t190 @t189)) % 16.09/16.50 (define @t192 () (not (= tptp.sk_c6 @t68))) % 16.09/16.50 (define @t193 () (not (= tptp.sk_c6 @t70))) % 16.09/16.50 (define @t194 () (or @t193 @t192)) % 16.09/16.50 (define @t195 () (forall (@list @t67) @t194)) % 16.09/16.50 (define @t196 () (= tptp.sk_c7 @t125)) % 16.09/16.50 (define @t197 () (tptp.inverse tptp.sk_c6)) % 16.09/16.50 (define @t198 () (= tptp.sk_c6 @t197)) % 16.09/16.50 (define @t199 () (not @t198)) % 16.09/16.50 (define @t200 () (not @t196)) % 16.09/16.50 (define @t201 () (or @t200 @t199)) % 16.09/16.50 (define @t202 () (not (= tptp.sk_c6 @t60))) % 16.09/16.50 (define @t203 () (not (= tptp.sk_c7 @t62))) % 16.09/16.50 (define @t204 () (or @t203 @t202)) % 16.09/16.50 (define @t205 () (forall (@list @t59) @t204)) % 16.09/16.50 (define @t206 () (not (= tptp.sk_c7 @t55))) % 16.09/16.50 (define @t207 () (not (= tptp.sk_c5 @t57))) % 16.09/16.50 (define @t208 () (or @t207 @t206)) % 16.09/16.50 (define @t209 () (forall (@list @t54) @t208)) % 16.09/16.50 (define @t210 () (not @t177)) % 16.09/16.50 (define @t211 () (not @t163)) % 16.09/16.50 (define @t212 () (or @t141 @t211 @t189 @t210 @t92 @t194 @t204 @t208)) % 16.09/16.50 (define @t213 () (or @t141 @t91 @t90 @t193 @t192 @t211 @t189 @t210 @t203 @t202 @t207 @t206)) % 16.09/16.50 (define @t214 () (= tptp.sk_c7 @t197)) % 16.09/16.50 (define @t215 () (not @t214)) % 16.09/16.50 (define @t216 () (or @t141 @t215)) % 16.09/16.50 (define @t217 () (= tptp.sk_c7 @t21)) % 16.09/16.50 (define @t218 () (= tptp.sk_c6 @t24)) % 16.09/16.50 (define @t219 () (tptp.multiply @t18 tptp.sk_c7)) % 16.09/16.50 (define @t220 () (= tptp.identity @t219)) % 16.09/16.50 (define @t221 () (tptp.multiply @t24 tptp.sk_c3)) % 16.09/16.50 (define @t222 () (= tptp.identity @t221)) % 16.09/16.50 (define @t223 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.09/16.50 (define @t224 () (= tptp.sk_c2 @t223)) % 16.09/16.50 (define @t225 () (tptp.multiply @t24 @t21)) % 16.09/16.50 (define @t226 () (tptp.multiply @t221 tptp.sk_c6)) % 16.09/16.50 (define @t227 () (= @t226 @t225)) % 16.09/16.50 (define @t228 () (and @t96 @t177 @t217 @t218 @t97 @t100 @t102 @t143 @t220 @t222 @t224 @t108 @t150 @t227)) % 16.09/16.50 (define @t229 () (not @t227)) % 16.09/16.50 (define @t230 () (not @t222)) % 16.09/16.50 (define @t231 () (not @t220)) % 16.09/16.50 (define @t232 () (not @t218)) % 16.09/16.50 (define @t233 () (not @t217)) % 16.09/16.50 (define @t234 () (and @t96 @t177 @t217 @t218 @t100 @t102 @t222 @t227)) % 16.09/16.50 (define @t235 () (and @t96 @t163 @t217 @t218 @t100 @t102 @t222 @t227)) % 16.09/16.50 (define @t236 () (tptp.inverse @t18)) % 16.09/16.50 (define @t237 () (and @t96 @t163 @t177 @t217 @t218 @t87 @t85 @t100 @t102 @t143 @t220 @t222 @t106 @t112 @t150 @t118 @t227)) % 16.09/16.50 (define @t238 () (= tptp.identity (tptp.multiply @t236 @t18))) % 16.09/16.50 (define @t239 () (and @t96 @t163 @t177 @t217 @t218 @t87 @t100 @t102 @t143 @t220 @t145 @t238 @t222 @t173 @t106 @t150 @t160 @t227)) % 16.09/16.50 (define @t240 () (not @t238)) % 16.09/16.50 (define @t241 () (and @t96 @t177 @t217 @t218 @t100 @t102 @t143 @t220 @t145 @t238 @t222 @t150 @t160 @t227)) % 16.09/16.50 (define @t242 () (and @t96 @t128 @t177 @t217 @t218 @t100 @t102 @t143 @t220 @t145 @t238 @t222 @t150 @t160 @t227)) % 16.09/16.50 (define @t243 () (and @t96 @t177 @t217 @t218 @t100 @t102 @t143 @t220 @t145 @t238 @t222 @t150 @t160 @t188 @t227)) % 16.09/16.50 (define @t244 () (@list true)) % 16.09/16.50 (define @t245 () (@list @t96)) % 16.09/16.50 (define @t246 () (tptp.multiply @t158 tptp.sk_c5)) % 16.09/16.50 (define @t247 () (= @t246 (tptp.multiply @t84 (tptp.multiply @t119 tptp.sk_c5)))) % 16.09/16.50 (define @t248 () (and @t163 @t128 @t177 @t217 @t218 @t100 @t102 @t143 @t220 @t104 @t145 @t222 @t150 @t160 @t227 @t247)) % 16.09/16.50 (assume @p1 @t4) % 16.09/16.50 (assume @p2 @t6) % 16.09/16.50 (assume @p3 @t9) % 16.09/16.50 (assume @p4 @t14) % 16.09/16.50 (assume @p5 @t17) % 16.09/16.50 (assume @p6 @t20) % 16.09/16.50 (assume @p7 @t23) % 16.09/16.50 (assume @p8 @t26) % 16.09/16.50 (assume @p9 (or @t13 @t27)) % 16.09/16.50 (assume @p10 (or @t13 @t28)) % 16.09/16.50 (assume @p11 @t31) % 16.09/16.50 (assume @p12 @t32) % 16.09/16.50 (assume @p13 @t33) % 16.09/16.50 (assume @p14 @t34) % 16.09/16.50 (assume @p15 @t35) % 16.09/16.50 (assume @p16 (or @t30 @t27)) % 16.09/16.50 (assume @p17 (or @t30 @t28)) % 16.09/16.50 (assume @p18 @t38) % 16.09/16.50 (assume @p19 (or @t37 @t16)) % 16.09/16.50 (assume @p20 @t39) % 16.09/16.50 (assume @p21 @t40) % 16.09/16.50 (assume @p22 @t41) % 16.09/16.50 (assume @p23 (or @t37 @t27)) % 16.09/16.50 (assume @p24 (or @t37 @t28)) % 16.09/16.50 (assume @p25 @t44) % 16.09/16.50 (assume @p26 @t45) % 16.09/16.50 (assume @p27 @t46) % 16.09/16.50 (assume @p28 @t47) % 16.09/16.50 (assume @p29 @t48) % 16.09/16.50 (assume @p30 (or @t43 @t27)) % 16.09/16.50 (assume @p31 (or @t43 @t28)) % 16.09/16.50 (assume @p32 (or @t50 @t11)) % 16.09/16.50 (assume @p33 (or @t50 @t16)) % 16.09/16.50 (assume @p34 @t51) % 16.09/16.50 (assume @p35 @t52) % 16.09/16.50 (assume @p36 @t53) % 16.09/16.50 (assume @p37 (or @t50 @t27)) % 16.09/16.50 (assume @p38 (or @t50 @t28)) % 16.09/16.50 (assume @p39 @t80) % 16.09/16.50 (step @p40 :rule eq-symm :args (@t2 @t1)) % 16.09/16.50 (step @p41 :rule cong :premises (@p40) :args (@t4)) % 16.09/16.50 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 16.09/16.50 (step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.identity))) % 16.09/16.50 (step @p44 :rule instantiate :premises (@p42) :args (@t81)) % 16.09/16.50 (step @p45 :rule instantiate :premises (@p42) :args (@t82)) % 16.09/16.50 (step @p46 :rule eq-symm :args (@t5 tptp.identity)) % 16.09/16.50 (step @p47 :rule cong :premises (@p46) :args (@t6)) % 16.09/16.50 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 16.09/16.50 (step @p49 :rule instantiate :premises (@p48) :args (@t82)) % 16.09/16.50 (step @p50 :rule instantiate :premises (@p42) :args (@t83)) % 16.09/16.50 (step @p51 :rule instantiate :premises (@p48) :args (@t83)) % 16.09/16.50 (step @p52 :rule instantiate :premises (@p48) :args ((@list tptp.sk_c3))) % 16.09/16.50 (step @p53 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.identity tptp.sk_c7))) % 16.09/16.50 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t84 tptp.sk_c5 tptp.sk_c7))) % 16.09/16.50 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t24 tptp.sk_c3 tptp.sk_c6))) % 16.09/16.50 (step @p56 :rule cnf_or_pos :args (@t89)) % 16.09/16.50 (step @p57 :rule reordering :premises (@p56) :args ((or @t88 @t86 (not @t89)))) % 16.09/16.50 (assume-push @p2414 @t93) % 16.09/16.50 (step @p59 :rule instantiate :premises (@p2414) :args (@t94)) % 16.09/16.50 (step-pop @p2415 :rule scope :premises (@p59)) % 16.09/16.50 (step @p60 :rule process_scope :premises (@p2415) :args (@t89)) % 16.09/16.50 (step @p62 :rule implies_elim :premises (@p60)) % 16.09/16.50 (step @p63 :rule instantiate :premises (@p48) :args (@t94)) % 16.09/16.50 (step @p64 :rule instantiate :premises (@p48) :args (@t95)) % 16.09/16.50 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t42 tptp.sk_c2 tptp.sk_c5))) % 16.09/16.50 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t29 tptp.sk_c1 tptp.sk_c6))) % 16.09/16.50 (step @p67 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c7 tptp.sk_c7))) % 16.09/16.50 (step @p68 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c7 tptp.sk_c7))) % 16.09/16.50 (step @p69 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 tptp.sk_c5 tptp.sk_c7))) % 16.09/16.50 (assume-push @p2416 @t96) % 16.09/16.50 (assume-push @p2417 @t87) % 16.09/16.50 (assume-push @p2418 @t85) % 16.09/16.50 (assume-push @p2419 @t97) % 16.09/16.50 (assume-push @p2420 @t98) % 16.09/16.50 (assume-push @p2421 @t100) % 16.09/16.50 (assume-push @p2422 @t102) % 16.09/16.50 (assume-push @p2423 @t104) % 16.09/16.50 (assume-push @p2424 @t106) % 16.09/16.50 (assume-push @p2425 @t108) % 16.09/16.50 (assume-push @p2426 @t110) % 16.09/16.50 (assume-push @p2427 @t112) % 16.09/16.50 (assume-push @p2428 @t115) % 16.09/16.50 (assume-push @p2429 @t118) % 16.09/16.50 (assume-push @p2430 @t122) % 16.09/16.50 (assume-push @p2431 @t118) % 16.09/16.50 (assume-push @p2432 @t97) % 16.09/16.50 (assume-push @p2433 @t122) % 16.09/16.50 (assume-push @p2434 @t102) % 16.09/16.50 (assume-push @p2435 @t115) % 16.09/16.50 (assume-push @p2436 @t87) % 16.09/16.50 (assume-push @p2437 @t104) % 16.09/16.50 (assume-push @p2438 @t85) % 16.09/16.50 (assume-push @p2439 @t98) % 16.09/16.50 (assume-push @p2440 @t100) % 16.09/16.50 (assume-push @p2441 @t108) % 16.09/16.50 (assume-push @p2442 @t106) % 16.09/16.50 (assume-push @p2443 @t96) % 16.09/16.50 (assume-push @p2444 @t110) % 16.09/16.50 (assume-push @p2445 @t112) % 16.09/16.50 (step @p100 :rule symm :premises (@p2416)) % 16.09/16.50 (step @p101 :rule refl :args (tptp.sk_c7)) % 16.09/16.50 (step @p102 :rule symm :premises (@p2420)) % 16.09/16.50 (step @p103 :rule cong :premises (@p102 @p101) :args (@t121)) % 16.09/16.50 (step @p104 :rule symm :premises (@p69)) % 16.09/16.50 (step @p105 :rule cong :premises (@p100 @p101) :args (@t117)) % 16.09/16.50 (step @p106 :rule symm :premises (@p68)) % 16.09/16.50 (step @p107 :rule symm :premises (@p2418)) % 16.09/16.50 (step @p108 :rule symm :premises (@p2417)) % 16.09/16.50 (step @p109 :rule cong :premises (@p108 @p107) :args (@t111)) % 16.09/16.50 (step @p110 :rule symm :premises (@p44)) % 16.09/16.50 (step @p111 :rule cong :premises (@p63 @p110) :args (@t123)) % 16.09/16.50 (step @p112 :rule symm :premises (@p43)) % 16.09/16.50 (step @p113 :rule cong :premises (@p112 @p44) :args (@t124)) % 16.09/16.50 (step @p114 :rule refl :args (tptp.sk_c6)) % 16.09/16.50 (step @p115 :rule cong :premises (@p43 @p114) :args (@t101)) % 16.09/16.50 (step @p116 :rule trans :premises (@p44 @p115 @p113 @p111 @p66 @p109)) % 16.09/16.50 (step @p117 :rule cong :premises (@p114 @p116) :args (@t125)) % 16.09/16.50 (step @p118 :rule symm :premises (@p2419)) % 16.09/16.50 (step @p119 :rule cong :premises (@p118 @p102) :args (@t109)) % 16.09/16.50 (step @p120 :rule symm :premises (@p50)) % 16.09/16.50 (step @p121 :rule cong :premises (@p64 @p120) :args (@t126)) % 16.09/16.50 (step @p122 :rule cong :premises (@p112 @p50) :args (@t127)) % 16.09/16.50 (step @p123 :rule refl :args (tptp.sk_c5)) % 16.09/16.50 (step @p124 :rule cong :premises (@p43 @p123) :args (@t103)) % 16.09/16.50 (step @p125 :rule trans :premises (@p50 @p124 @p122 @p121 @p65 @p119 @p117 @p106 @p105)) % 16.09/16.50 (step @p126 :rule refl :args (tptp.sk_c2)) % 16.09/16.50 (step @p127 :rule cong :premises (@p126 @p125) :args (@t49)) % 16.09/16.50 (step @p128 :rule symm :premises (@p115)) % 16.09/16.50 (step @p129 :rule symm :premises (@p113)) % 16.09/16.50 (step @p130 :rule symm :premises (@p111)) % 16.09/16.50 (step @p131 :rule symm :premises (@p66)) % 16.09/16.50 (step @p132 :rule symm :premises (@p109)) % 16.09/16.50 (step @p133 :rule trans :premises (@p132 @p131 @p130 @p129 @p128 @p110 @p2420 @p127 @p104 @p103 @p100)) % 16.09/16.50 (step @p134 :rule cong :premises (@p101 @p133) :args (@t114)) % 16.09/16.50 (step @p135 :rule cong :premises (@p116 @p101) :args (@t12)) % 16.09/16.50 (step @p136 :rule trans :premises (@p2420 @p127 @p104 @p103 @p135 @p67 @p134)) % 16.09/16.50 (step-pop @p2446 :rule scope :premises (@p136)) % 16.09/16.50 (step-pop @p2447 :rule scope :premises (@p2446)) % 16.09/16.50 (step-pop @p2448 :rule scope :premises (@p2447)) % 16.09/16.50 (step-pop @p2449 :rule scope :premises (@p2448)) % 16.09/16.50 (step-pop @p2450 :rule scope :premises (@p2449)) % 16.09/16.50 (step-pop @p2451 :rule scope :premises (@p2450)) % 16.09/16.50 (step-pop @p2452 :rule scope :premises (@p2451)) % 16.09/16.50 (step-pop @p2453 :rule scope :premises (@p2452)) % 16.09/16.50 (step-pop @p2454 :rule scope :premises (@p2453)) % 16.09/16.50 (step-pop @p2455 :rule scope :premises (@p2454)) % 16.09/16.50 (step-pop @p2456 :rule scope :premises (@p2455)) % 16.09/16.50 (step-pop @p2457 :rule scope :premises (@p2456)) % 16.09/16.50 (step-pop @p2458 :rule scope :premises (@p2457)) % 16.09/16.50 (step-pop @p2459 :rule scope :premises (@p2458)) % 16.09/16.50 (step-pop @p2460 :rule scope :premises (@p2459)) % 16.09/16.50 (step @p137 :rule process_scope :premises (@p2460) :args (@t128)) % 16.09/16.50 (step @p153 :rule and_intro :premises (@p68 @p2419 @p69 @p44 @p67 @p2417 @p50 @p2418 @p2420 @p43 @p64 @p63 @p2416 @p65 @p66)) % 16.09/16.50 (step @p154 :rule modus_ponens :premises (@p153 @p137)) % 16.09/16.50 (step-pop @p2461 :rule scope :premises (@p154)) % 16.09/16.50 (step-pop @p2462 :rule scope :premises (@p2461)) % 16.09/16.50 (step-pop @p2463 :rule scope :premises (@p2462)) % 16.09/16.50 (step-pop @p2464 :rule scope :premises (@p2463)) % 16.09/16.50 (step-pop @p2465 :rule scope :premises (@p2464)) % 16.09/16.50 (step-pop @p2466 :rule scope :premises (@p2465)) % 16.09/16.50 (step-pop @p2467 :rule scope :premises (@p2466)) % 16.09/16.50 (step-pop @p2468 :rule scope :premises (@p2467)) % 16.09/16.50 (step-pop @p2469 :rule scope :premises (@p2468)) % 16.09/16.50 (step-pop @p2470 :rule scope :premises (@p2469)) % 16.09/16.50 (step-pop @p2471 :rule scope :premises (@p2470)) % 16.09/16.50 (step-pop @p2472 :rule scope :premises (@p2471)) % 16.09/16.50 (step-pop @p2473 :rule scope :premises (@p2472)) % 16.09/16.50 (step-pop @p2474 :rule scope :premises (@p2473)) % 16.09/16.50 (step-pop @p2475 :rule scope :premises (@p2474)) % 16.09/16.50 (step @p155 :rule process_scope :premises (@p2475) :args (@t128)) % 16.09/16.50 (step @p171 :rule implies_elim :premises (@p155)) % 16.09/16.50 (step @p172 :rule cnf_and_neg :args (@t129)) % 16.09/16.50 (step @p173 :rule resolution :premises (@p172 @p171) :args (true @t129)) % 16.09/16.50 (step @p174 :rule reordering :premises (@p173) :args ((or @t128 @t141 @t88 @t86 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 (not @t115) @t131 @t130))) % 16.09/16.50 (step @p175 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c6 tptp.sk_c6))) % 16.09/16.50 (step @p176 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c6 tptp.sk_c7))) % 16.09/16.50 (step @p177 :rule instantiate :premises (@p3) :args ((@list @t84 tptp.sk_c5 tptp.sk_c6))) % 16.09/16.50 (assume-push @p2476 @t96) % 16.09/16.50 (assume-push @p2477 @t87) % 16.09/16.50 (assume-push @p2478 @t85) % 16.09/16.50 (assume-push @p2479 @t97) % 16.09/16.50 (assume-push @p2480 @t98) % 16.09/16.50 (assume-push @p2481 @t100) % 16.09/16.50 (assume-push @p2482 @t102) % 16.09/16.50 (assume-push @p2483 @t143) % 16.09/16.50 (assume-push @p2484 @t104) % 16.09/16.50 (assume-push @p2485 @t145) % 16.09/16.50 (assume-push @p2486 @t106) % 16.09/16.50 (assume-push @p2487 @t108) % 16.09/16.50 (assume-push @p2488 @t110) % 16.09/16.50 (assume-push @p2489 @t148) % 16.09/16.50 (assume-push @p2490 @t112) % 16.09/16.50 (assume-push @p2491 @t150) % 16.09/16.50 (assume-push @p2492 @t153) % 16.09/16.50 (assume-push @p2493 @t118) % 16.09/16.50 (assume-push @p2494 @t157) % 16.09/16.50 (assume-push @p2495 @t160) % 16.09/16.50 (assume-push @p2496 @t122) % 16.09/16.50 (assume-push @p2497 @t96) % 16.09/16.50 (assume-push @p2498 @t153) % 16.09/16.50 (assume-push @p2499 @t97) % 16.09/16.50 (assume-push @p2500 @t98) % 16.09/16.50 (assume-push @p2501 @t110) % 16.09/16.50 (assume-push @p2502 @t108) % 16.09/16.50 (assume-push @p2503 @t104) % 16.09/16.50 (assume-push @p2504 @t100) % 16.09/16.50 (assume-push @p2505 @t143) % 16.09/16.50 (assume-push @p2506 @t150) % 16.09/16.50 (assume-push @p2507 @t118) % 16.09/16.50 (assume-push @p2508 @t87) % 16.09/16.50 (assume-push @p2509 @t85) % 16.09/16.50 (assume-push @p2510 @t112) % 16.09/16.50 (assume-push @p2511 @t106) % 16.09/16.50 (assume-push @p2512 @t102) % 16.09/16.50 (assume-push @p2513 @t122) % 16.09/16.50 (assume-push @p2514 @t145) % 16.09/16.50 (assume-push @p2515 @t157) % 16.09/16.50 (assume-push @p2516 @t148) % 16.09/16.50 (assume-push @p2517 @t160) % 16.09/16.50 (step @p220 :rule symm :premises (@p2476)) % 16.09/16.50 (step @p114 :rule refl :args (tptp.sk_c6)) % 16.09/16.50 (step @p221 :rule cong :premises (@p114 @p220) :args (@t151)) % 16.09/16.50 (step @p101 :rule refl :args (tptp.sk_c7)) % 16.09/16.50 (step @p222 :rule symm :premises (@p2480)) % 16.09/16.50 (step @p223 :rule symm :premises (@p2479)) % 16.09/16.50 (step @p224 :rule cong :premises (@p223 @p222) :args (@t109)) % 16.09/16.50 (step @p120 :rule symm :premises (@p50)) % 16.09/16.50 (step @p121 :rule cong :premises (@p64 @p120) :args (@t126)) % 16.09/16.50 (step @p112 :rule symm :premises (@p43)) % 16.09/16.50 (step @p122 :rule cong :premises (@p112 @p50) :args (@t127)) % 16.35/16.50 (step @p123 :rule refl :args (tptp.sk_c5)) % 16.35/16.50 (step @p124 :rule cong :premises (@p43 @p123) :args (@t103)) % 16.35/16.50 (step @p225 :rule trans :premises (@p50 @p124 @p122 @p121 @p65 @p224)) % 16.35/16.50 (step @p226 :rule symm :premises (@p45)) % 16.35/16.50 (step @p227 :rule cong :premises (@p114 @p226) :args (@t149)) % 16.35/16.50 (step @p228 :rule trans :premises (@p53 @p227 @p220)) % 16.35/16.50 (step @p229 :rule symm :premises (@p53)) % 16.35/16.50 (step @p230 :rule symm :premises (@p227)) % 16.35/16.50 (step @p231 :rule trans :premises (@p230 @p229)) % 16.35/16.50 (step @p232 :rule trans :premises (@p231 @p228 @p225)) % 16.35/16.50 (step @p233 :rule cong :premises (@p232 @p101) :args (@t117)) % 16.35/16.50 (step @p106 :rule symm :premises (@p68)) % 16.35/16.50 (step @p234 :rule symm :premises (@p2478)) % 16.35/16.50 (step @p235 :rule symm :premises (@p2477)) % 16.35/16.50 (step @p236 :rule cong :premises (@p235 @p234) :args (@t111)) % 16.35/16.50 (step @p110 :rule symm :premises (@p44)) % 16.35/16.50 (step @p111 :rule cong :premises (@p63 @p110) :args (@t123)) % 16.35/16.50 (step @p113 :rule cong :premises (@p112 @p44) :args (@t124)) % 16.35/16.50 (step @p115 :rule cong :premises (@p43 @p114) :args (@t101)) % 16.35/16.50 (step @p237 :rule trans :premises (@p44 @p115 @p113 @p111 @p66 @p236)) % 16.35/16.50 (step @p238 :rule cong :premises (@p114 @p237) :args (@t125)) % 16.35/16.50 (step @p239 :rule cong :premises (@p222 @p101) :args (@t121)) % 16.35/16.50 (step @p104 :rule symm :premises (@p69)) % 16.35/16.50 (step @p240 :rule cong :premises (@p220 @p101) :args (@t117)) % 16.35/16.50 (step @p241 :rule trans :premises (@p50 @p124 @p122 @p121 @p65 @p224 @p238 @p106 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(assume-push @p3872 @t160) % 16.35/16.51 (assume-push @p3873 @t247) % 16.35/16.51 (assume-push @p3874 @t177) % 16.35/16.51 (assume-push @p3875 @t220) % 16.35/16.51 (assume-push @p3876 @t104) % 16.35/16.51 (assume-push @p3877 @t163) % 16.35/16.51 (step @p101 :rule refl :args (tptp.sk_c7)) % 16.35/16.51 (step @p2352 :rule symm :premises (@p3847)) % 16.35/16.51 (step @p2353 :rule cong :premises (@p2352 @p101) :args ((tptp.multiply @t15 tptp.sk_c7))) % 16.35/16.51 (step @p226 :rule symm :premises (@p45)) % 16.35/16.51 (step @p110 :rule symm :premises (@p44)) % 16.35/16.51 (step @p114 :rule refl :args (tptp.sk_c6)) % 16.35/16.51 (step @p115 :rule cong :premises (@p43 @p114) :args (@t101)) % 16.35/16.51 (step @p128 :rule symm :premises (@p115)) % 16.35/16.51 (step @p112 :rule symm :premises (@p43)) % 16.35/16.51 (step @p113 :rule cong :premises (@p112 @p44) :args (@t124)) % 16.35/16.51 (step @p129 :rule symm :premises (@p113)) % 16.35/16.51 (step @p1373 :rule symm :premises (@p52)) % 16.35/16.51 (step @p1374 :rule cong :premises (@p1373 @p44) :args (@t226)) % 16.35/16.51 (step @p1375 :rule symm :premises (@p55)) % 16.35/16.51 (step @p2354 :rule cong :premises (@p3850 @p3849) :args (@t12)) % 16.35/16.51 (step @p227 :rule cong :premises (@p114 @p226) :args (@t149)) % 16.35/16.51 (step @p2355 :rule trans :premises (@p53 @p227 @p2354 @p1375 @p1374 @p129 @p128 @p110)) % 16.35/16.51 (step @p229 :rule symm :premises (@p53)) % 16.35/16.51 (step @p230 :rule symm :premises (@p227)) % 16.35/16.51 (step @p2356 :rule symm :premises (@p2354)) % 16.35/16.51 (step @p1404 :rule symm :premises (@p1374)) % 16.35/16.51 (step @p123 :rule refl :args (tptp.sk_c5)) % 16.35/16.51 (step @p354 :rule cong :premises (@p112 @p101) :args (@t162)) % 16.35/16.51 (step @p355 :rule cong :premises (@p43 @p226) :args (@t161)) % 16.35/16.51 (step @p243 :rule symm :premises (@p51)) % 16.35/16.51 (step @p356 :rule cong :premises (@p243 @p45) :args (@t159)) % 16.35/16.51 (step @p357 :rule symm :premises (@p54)) % 16.35/16.51 (step @p2357 :rule trans :premises (@p357 @p356 @p355 @p354 @p226)) % 16.35/16.51 (step @p2358 :rule cong :premises (@p2357 @p123) :args (@t246)) % 16.35/16.51 (step @p2359 :rule symm :premises (@p2319)) % 16.35/16.51 (step @p120 :rule symm :premises (@p50)) % 16.35/16.51 (step @p2360 :rule symm :premises (@p3848)) % 16.35/16.51 (step @p2361 :rule cong :premises (@p2360 @p101) :args (@t219)) % 16.35/16.51 (step @p2362 :rule trans :premises (@p49 @p2361)) % 16.35/16.51 (step @p2363 :rule cong :premises (@p2362 @p120) :args (@t126)) % 16.35/16.51 (step @p122 :rule cong :premises (@p112 @p50) :args (@t127)) % 16.35/16.51 (step @p124 :rule cong :premises (@p43 @p123) :args (@t103)) % 16.35/16.51 (step @p2364 :rule trans :premises (@p50 @p124 @p122 @p2363)) % 16.35/16.51 (step @p251 :rule refl :args (@t84)) % 16.35/16.51 (step @p2365 :rule cong :premises (@p251 @p2364) :args (@t144)) % 16.35/16.51 (step @p2366 :rule trans :premises (@p51 @p2365 @p2359 @p2358 @p2352 @p44 @p115 @p113 @p1404 @p55 @p2356 @p230 @p229)) % 16.35/16.51 (step @p2367 :rule trans :premises (@p2366 @p2355 @p3847)) % 16.35/16.51 (step @p2368 :rule cong :premises (@p2367 @p226) :args (@t161)) % 16.35/16.51 (step @p256 :rule cong :premises (@p112 @p45) :args (@t162)) % 16.35/16.51 (step @p257 :rule cong :premises (@p43 @p101) :args (@t142)) % 16.35/16.51 (step @p2369 :rule symm :premises (@p3846)) % 16.35/16.51 (step @p2370 :rule trans :premises (@p2366 @p2355)) % 16.35/16.51 (step @p2371 :rule cong :premises (@p2370 @p120) :args (@t126)) % 16.35/16.51 (step @p2372 :rule trans :premises (@p50 @p124 @p122 @p2371 @p2369 @p45 @p257 @p256 @p2368 @p2353)) % 16.35/16.51 (step-pop @p3878 :rule scope :premises (@p2372)) % 16.35/16.51 (step-pop @p3879 :rule scope :premises (@p3878)) % 16.35/16.51 (step-pop @p3880 :rule scope :premises (@p3879)) % 16.35/16.51 (step-pop @p3881 :rule scope :premises (@p3880)) % 16.35/16.51 (step-pop @p3882 :rule scope :premises (@p3881)) % 16.35/16.51 (step-pop @p3883 :rule scope :premises (@p3882)) % 16.35/16.51 (step-pop @p3884 :rule scope :premises (@p3883)) % 16.35/16.51 (step-pop @p3885 :rule scope :premises (@p3884)) % 16.35/16.51 (step-pop @p3886 :rule scope :premises (@p3885)) % 16.35/16.51 (step-pop @p3887 :rule scope :premises (@p3886)) % 16.35/16.51 (step-pop @p3888 :rule scope :premises (@p3887)) % 16.35/16.51 (step-pop @p3889 :rule scope :premises (@p3888)) % 16.35/16.51 (step-pop @p3890 :rule scope :premises (@p3889)) % 16.35/16.51 (step-pop @p3891 :rule scope :premises (@p3890)) % 16.35/16.51 (step-pop @p3892 :rule scope :premises (@p3891)) % 16.35/16.51 (step-pop @p3893 :rule scope :premises (@p3892)) % 16.35/16.51 (step @p2373 :rule process_scope :premises (@p3893) :args (@t96)) % 16.35/16.51 (step @p2390 :rule and_intro :premises (@p3847 @p44 @p43 @p52 @p55 @p3850 @p3849 @p45 @p53 @p51 @p54 @p2319 @p3848 @p49 @p50 @p3846)) % 16.35/16.51 (step @p2391 :rule modus_ponens :premises (@p2390 @p2373)) % 16.35/16.51 (step-pop @p3894 :rule scope :premises (@p2391)) % 16.35/16.51 (step-pop @p3895 :rule scope :premises (@p3894)) % 16.35/16.51 (step-pop @p3896 :rule scope :premises (@p3895)) % 16.35/16.51 (step-pop @p3897 :rule scope :premises (@p3896)) % 16.35/16.51 (step-pop @p3898 :rule scope :premises (@p3897)) % 16.35/16.51 (step-pop @p3899 :rule scope :premises (@p3898)) % 16.35/16.51 (step-pop @p3900 :rule scope :premises (@p3899)) % 16.35/16.51 (step-pop @p3901 :rule scope :premises (@p3900)) % 16.35/16.51 (step-pop @p3902 :rule scope :premises (@p3901)) % 16.35/16.51 (step-pop @p3903 :rule scope :premises (@p3902)) % 16.35/16.51 (step-pop @p3904 :rule scope :premises (@p3903)) % 16.35/16.51 (step-pop @p3905 :rule scope :premises (@p3904)) % 16.35/16.51 (step-pop @p3906 :rule scope :premises (@p3905)) % 16.35/16.51 (step-pop @p3907 :rule scope :premises (@p3906)) % 16.35/16.51 (step-pop @p3908 :rule scope :premises (@p3907)) % 16.35/16.51 (step-pop @p3909 :rule scope :premises (@p3908)) % 16.35/16.51 (step @p2392 :rule process_scope :premises (@p3909) :args (@t96)) % 16.35/16.51 (step @p2409 :rule implies_elim :premises (@p2392)) % 16.35/16.51 (step @p2410 :rule cnf_and_neg :args (@t248)) % 16.35/16.51 (step @p2411 :rule resolution :premises (@p2410 @p2409) :args (true @t248)) % 16.35/16.51 (step @p2412 :rule reordering :premises (@p2411) :args ((or @t96 @t211 @t189 @t210 @t233 @t232 @t138 @t137 @t171 @t231 @t136 @t170 @t230 @t168 @t165 @t229 (not @t247)))) % 16.35/16.51 (step @p2413 false :rule chain_m_resolution :premises (@p2412 @p2319 @p2318 @p2315 @p2312 @p2309 @p2306 @p2303 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p45 @p44 @p43) :args (false (@list false false false false false false true false false false false false false false false false false) (@list @t247 @t218 @t217 @t177 @t128 @t163 @t96 @t227 @t160 @t150 @t222 @t145 @t104 @t220 @t143 @t102 @t100))) % 16.35/16.51 ) % 16.35/16.51 % SZS output end Proof % 16.35/16.51 % cvc5 exiting %------------------------------------------------------------------------------