%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP302-1 : 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 : n015.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 08:20:26 AM UTC 2026 % Result : Unsatisfiable 16.03s 16.57s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP302-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:01:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.95/16.19 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.57 % SZS status Unsatisfiable % 16.03/16.57 % SZS output start Proof % 16.03/16.59 ( % 16.03/16.59 (declare-sort $$unsorted 0) % 16.03/16.59 (declare-const tptp.sk_c4 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c2 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c3 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c5 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c1 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c8 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c7 $$unsorted) % 16.03/16.59 (declare-const tptp.sk_c6 $$unsorted) % 16.03/16.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.03/16.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.59 (declare-const tptp.identity $$unsorted) % 16.03/16.59 (define @t1 () (@var "X" $$unsorted)) % 16.03/16.59 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.03/16.59 (define @t3 () (@list @t1)) % 16.03/16.59 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.03/16.59 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.03/16.59 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.03/16.59 (define @t7 () (@var "Z" $$unsorted)) % 16.03/16.59 (define @t8 () (@var "Y" $$unsorted)) % 16.03/16.59 (define @t9 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 16.03/16.59 (define @t10 () (= @t9 tptp.sk_c6)) % 16.03/16.59 (define @t11 () (tptp.inverse tptp.sk_c8)) % 16.03/16.59 (define @t12 () (= @t11 tptp.sk_c7)) % 16.03/16.59 (define @t13 () (tptp.inverse tptp.sk_c1)) % 16.03/16.59 (define @t14 () (= @t13 tptp.sk_c8)) % 16.03/16.59 (define @t15 () (or @t14 @t12)) % 16.03/16.59 (define @t16 () (tptp.inverse tptp.sk_c3)) % 16.03/16.59 (define @t17 () (= @t16 tptp.sk_c8)) % 16.03/16.59 (define @t18 () (or @t14 @t17)) % 16.03/16.59 (define @t19 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 16.03/16.59 (define @t20 () (= @t19 tptp.sk_c8)) % 16.03/16.59 (define @t21 () (or @t14 @t20)) % 16.03/16.59 (define @t22 () (tptp.inverse tptp.sk_c5)) % 16.03/16.59 (define @t23 () (= @t22 tptp.sk_c4)) % 16.03/16.59 (define @t24 () (or @t14 @t23)) % 16.03/16.59 (define @t25 () (tptp.inverse tptp.sk_c4)) % 16.03/16.59 (define @t26 () (= @t25 tptp.sk_c8)) % 16.03/16.59 (define @t27 () (or @t14 @t26)) % 16.03/16.59 (define @t28 () (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c4)) % 16.03/16.59 (define @t29 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.03/16.59 (define @t30 () (= @t29 tptp.sk_c8)) % 16.03/16.59 (define @t31 () (or @t30 @t12)) % 16.03/16.59 (define @t32 () (or @t30 @t17)) % 16.03/16.59 (define @t33 () (or @t30 @t20)) % 16.03/16.59 (define @t34 () (or @t30 @t23)) % 16.03/16.59 (define @t35 () (or @t30 @t26)) % 16.03/16.59 (define @t36 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 16.03/16.59 (define @t37 () (= @t36 tptp.sk_c6)) % 16.03/16.59 (define @t38 () (or @t37 @t12)) % 16.03/16.59 (define @t39 () (tptp.inverse tptp.sk_c2)) % 16.03/16.59 (define @t40 () (= @t39 tptp.sk_c8)) % 16.03/16.59 (define @t41 () (or @t40 @t12)) % 16.03/16.59 (define @t42 () (@var "X5" $$unsorted)) % 16.03/16.59 (define @t43 () (@var "X2" $$unsorted)) % 16.03/16.59 (define @t44 () (tptp.multiply @t43 tptp.sk_c8)) % 16.03/16.59 (define @t45 () (not (= @t44 @t42))) % 16.03/16.59 (define @t46 () (tptp.inverse @t42)) % 16.03/16.59 (define @t47 () (not (= @t46 tptp.sk_c8))) % 16.03/16.59 (define @t48 () (tptp.inverse @t43)) % 16.03/16.59 (define @t49 () (not (= @t48 @t42))) % 16.03/16.59 (define @t50 () (@var "X1" $$unsorted)) % 16.03/16.59 (define @t51 () (tptp.multiply @t50 tptp.sk_c7)) % 16.03/16.59 (define @t52 () (not (= @t51 tptp.sk_c8))) % 16.03/16.59 (define @t53 () (tptp.inverse @t50)) % 16.03/16.59 (define @t54 () (not (= @t53 tptp.sk_c8))) % 16.03/16.59 (define @t55 () (not @t12)) % 16.03/16.59 (define @t56 () (@var "X4" $$unsorted)) % 16.03/16.59 (define @t57 () (tptp.inverse @t56)) % 16.03/16.59 (define @t58 () (not (= @t57 tptp.sk_c8))) % 16.03/16.59 (define @t59 () (tptp.multiply @t56 tptp.sk_c8)) % 16.03/16.59 (define @t60 () (not (= @t59 tptp.sk_c6))) % 16.03/16.59 (define @t61 () (@var "X3" $$unsorted)) % 16.03/16.59 (define @t62 () (tptp.multiply @t61 tptp.sk_c7)) % 16.03/16.59 (define @t63 () (not (= @t62 tptp.sk_c8))) % 16.03/16.59 (define @t64 () (tptp.inverse @t61)) % 16.03/16.59 (define @t65 () (not (= @t64 tptp.sk_c8))) % 16.03/16.59 (define @t66 () (not @t10)) % 16.03/16.59 (define @t67 () (or @t66 @t65 @t63 @t60 @t58 @t55 @t54 @t52 @t49 @t47 @t45)) % 16.03/16.59 (define @t68 () (@list @t61 @t56 @t50 @t43 @t42)) % 16.03/16.59 (define @t69 () (forall @t68 @t67)) % 16.03/16.59 (define @t70 () (= tptp.sk_c8 @t29)) % 16.03/16.59 (define @t71 () (not @t70)) % 16.03/16.59 (define @t72 () (= tptp.sk_c8 @t13)) % 16.03/16.59 (define @t73 () (not @t72)) % 16.03/16.59 (define @t74 () (or @t73 @t71)) % 16.03/16.59 (define @t75 () (not (= tptp.sk_c8 @t62))) % 16.03/16.59 (define @t76 () (not (= tptp.sk_c8 @t64))) % 16.03/16.59 (define @t77 () (or @t76 @t75)) % 16.03/16.59 (define @t78 () (forall (@list @t61) @t77)) % 16.03/16.59 (define @t79 () (@list tptp.sk_c1)) % 16.03/16.59 (define @t80 () (@quantifiers_skolemize @t78 0)) % 16.03/16.59 (define @t81 () (tptp.multiply @t80 tptp.sk_c7)) % 16.03/16.59 (define @t82 () (= tptp.sk_c8 @t81)) % 16.03/16.59 (define @t83 () (not @t82)) % 16.03/16.59 (define @t84 () (tptp.inverse @t80)) % 16.03/16.59 (define @t85 () (= tptp.sk_c8 @t84)) % 16.03/16.59 (define @t86 () (not @t85)) % 16.03/16.59 (define @t87 () (or @t86 @t83)) % 16.03/16.59 (define @t88 () (not @t87)) % 16.03/16.59 (define @t89 () (not @t78)) % 16.03/16.59 (define @t90 () (@list tptp.sk_c7)) % 16.03/16.59 (define @t91 () (= tptp.sk_c7 @t11)) % 16.03/16.59 (define @t92 () (tptp.multiply tptp.identity tptp.identity)) % 16.03/16.59 (define @t93 () (= tptp.identity @t92)) % 16.03/16.59 (define @t94 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.03/16.59 (define @t95 () (= tptp.sk_c7 @t94)) % 16.03/16.59 (define @t96 () (tptp.multiply @t13 tptp.sk_c1)) % 16.03/16.59 (define @t97 () (= tptp.identity @t96)) % 16.03/16.59 (define @t98 () (tptp.multiply @t13 @t29)) % 16.03/16.59 (define @t99 () (tptp.multiply @t96 tptp.sk_c7)) % 16.03/16.59 (define @t100 () (= @t99 @t98)) % 16.03/16.59 (define @t101 () (tptp.multiply tptp.identity @t94)) % 16.03/16.59 (define @t102 () (tptp.multiply @t92 tptp.sk_c7)) % 16.03/16.59 (define @t103 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 16.03/16.59 (define @t104 () (= @t11 @t103)) % 16.03/16.59 (define @t105 () (and @t72 @t91 @t70 @t93 @t95 @t97 @t100)) % 16.03/16.59 (define @t106 () (not @t100)) % 16.03/16.59 (define @t107 () (not @t97)) % 16.03/16.59 (define @t108 () (not @t95)) % 16.03/16.59 (define @t109 () (not @t93)) % 16.03/16.59 (define @t110 () (not @t91)) % 16.03/16.59 (define @t111 () (@list tptp.sk_c8)) % 16.03/16.59 (define @t112 () (@list @t11)) % 16.03/16.59 (define @t113 () (@list @t80)) % 16.03/16.59 (define @t114 () (tptp.multiply tptp.sk_c8 tptp.identity)) % 16.03/16.59 (define @t115 () (tptp.inverse @t114)) % 16.03/16.59 (define @t116 () (tptp.inverse tptp.sk_c7)) % 16.03/16.59 (define @t117 () (tptp.multiply @t116 tptp.sk_c8)) % 16.03/16.59 (define @t118 () (tptp.inverse @t11)) % 16.03/16.59 (define @t119 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.03/16.59 (define @t120 () (= tptp.sk_c8 @t119)) % 16.03/16.59 (define @t121 () (tptp.multiply @t11 tptp.sk_c8)) % 16.03/16.59 (define @t122 () (= tptp.identity @t121)) % 16.03/16.59 (define @t123 () (= tptp.identity (tptp.multiply @t116 tptp.sk_c7))) % 16.03/16.59 (define @t124 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.03/16.59 (define @t125 () (= tptp.sk_c1 @t124)) % 16.03/16.59 (define @t126 () (tptp.multiply @t118 @t11)) % 16.03/16.59 (define @t127 () (= tptp.identity @t126)) % 16.03/16.59 (define @t128 () (tptp.multiply tptp.identity @t80)) % 16.03/16.59 (define @t129 () (= @t80 @t128)) % 16.03/16.59 (define @t130 () (tptp.multiply @t84 @t80)) % 16.03/16.59 (define @t131 () (= tptp.identity @t130)) % 16.03/16.59 (define @t132 () (tptp.multiply tptp.identity @t103)) % 16.03/16.59 (define @t133 () (tptp.multiply @t119 tptp.sk_c8)) % 16.03/16.59 (define @t134 () (= @t133 @t132)) % 16.03/16.59 (define @t135 () (tptp.multiply tptp.sk_c8 @t119)) % 16.03/16.59 (define @t136 () (tptp.multiply @t114 tptp.sk_c8)) % 16.03/16.59 (define @t137 () (= @t136 @t135)) % 16.03/16.59 (define @t138 () (tptp.multiply tptp.sk_c8 @t103)) % 16.03/16.59 (define @t139 () (tptp.multiply @t103 tptp.sk_c8)) % 16.03/16.59 (define @t140 () (= @t139 @t138)) % 16.03/16.59 (define @t141 () (tptp.inverse @t115)) % 16.03/16.59 (define @t142 () (tptp.multiply @t141 @t115)) % 16.03/16.59 (define @t143 () (= tptp.identity @t142)) % 16.03/16.59 (define @t144 () (tptp.multiply @t116 @t114)) % 16.03/16.59 (define @t145 () (tptp.multiply @t117 tptp.identity)) % 16.03/16.59 (define @t146 () (= @t145 @t144)) % 16.03/16.59 (define @t147 () (tptp.multiply @t116 @t103)) % 16.03/16.59 (define @t148 () (tptp.multiply @t117 tptp.sk_c8)) % 16.03/16.59 (define @t149 () (= @t148 @t147)) % 16.03/16.59 (define @t150 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 16.03/16.59 (define @t151 () (tptp.multiply @t117 @t150)) % 16.03/16.59 (define @t152 () (tptp.multiply @t148 tptp.sk_c1)) % 16.03/16.59 (define @t153 () (= @t152 @t151)) % 16.03/16.59 (define @t154 () (tptp.multiply tptp.sk_c8 @t80)) % 16.03/16.59 (define @t155 () (tptp.multiply @t117 @t154)) % 16.03/16.59 (define @t156 () (= (tptp.multiply @t148 @t80) @t155)) % 16.03/16.59 (define @t157 () (tptp.multiply @t116 @t136)) % 16.03/16.59 (define @t158 () (tptp.multiply @t144 tptp.sk_c8)) % 16.03/16.59 (define @t159 () (= @t158 @t157)) % 16.03/16.59 (define @t160 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 16.03/16.59 (define @t161 () (tptp.multiply @t13 @t160)) % 16.03/16.59 (define @t162 () (tptp.multiply @t96 tptp.sk_c8)) % 16.03/16.59 (define @t163 () (= @t162 @t161)) % 16.03/16.59 (define @t164 () (tptp.multiply @t117 @t9)) % 16.03/16.59 (define @t165 () (tptp.multiply @t148 tptp.sk_c7)) % 16.03/16.59 (define @t166 () (= @t165 @t164)) % 16.03/16.59 (define @t167 () (tptp.multiply @t118 @t121)) % 16.03/16.59 (define @t168 () (tptp.multiply @t126 tptp.sk_c8)) % 16.03/16.59 (define @t169 () (= @t168 @t167)) % 16.03/16.59 (define @t170 () (tptp.multiply @t118 @t119)) % 16.03/16.59 (define @t171 () (tptp.multiply @t118 tptp.identity)) % 16.03/16.59 (define @t172 () (tptp.multiply @t171 tptp.sk_c8)) % 16.03/16.59 (define @t173 () (= @t172 @t170)) % 16.03/16.59 (define @t174 () (tptp.multiply @t118 @t103)) % 16.03/16.59 (define @t175 () (tptp.multiply @t118 tptp.sk_c8)) % 16.03/16.59 (define @t176 () (tptp.multiply @t175 tptp.sk_c8)) % 16.03/16.59 (define @t177 () (= @t176 @t174)) % 16.03/16.59 (define @t178 () (tptp.multiply @t92 tptp.sk_c8)) % 16.03/16.59 (define @t179 () (tptp.multiply tptp.identity @t119)) % 16.03/16.59 (define @t180 () (tptp.multiply @t92 tptp.sk_c1)) % 16.03/16.59 (define @t181 () (tptp.multiply tptp.identity @t124)) % 16.03/16.59 (define @t182 () (tptp.multiply tptp.identity @t128)) % 16.03/16.59 (define @t183 () (tptp.multiply @t92 @t80)) % 16.03/16.59 (define @t184 () (= tptp.sk_c8 @t118)) % 16.03/16.59 (define @t185 () (and @t72 @t91 @t70 @t85 @t93 @t120 @t122 @t95 @t123 @t125 @t97 @t127 @t129 @t131 @t134 @t100 @t137 @t140 @t143 @t146 @t149 @t153 @t156 @t159 @t163 @t166 @t169 @t173 @t177)) % 16.03/16.59 (define @t186 () (not @t177)) % 16.03/16.59 (define @t187 () (not @t173)) % 16.03/16.59 (define @t188 () (not @t169)) % 16.03/16.59 (define @t189 () (not @t166)) % 16.03/16.59 (define @t190 () (not @t163)) % 16.03/16.59 (define @t191 () (not @t159)) % 16.03/16.59 (define @t192 () (not @t156)) % 16.03/16.59 (define @t193 () (not @t153)) % 16.03/16.59 (define @t194 () (not @t149)) % 16.03/16.59 (define @t195 () (not @t146)) % 16.03/16.59 (define @t196 () (not @t143)) % 16.03/16.59 (define @t197 () (not @t140)) % 16.03/16.59 (define @t198 () (not @t137)) % 16.03/16.59 (define @t199 () (not @t134)) % 16.03/16.59 (define @t200 () (not @t131)) % 16.03/16.59 (define @t201 () (not @t129)) % 16.03/16.59 (define @t202 () (not @t127)) % 16.03/16.59 (define @t203 () (not @t125)) % 16.03/16.59 (define @t204 () (not @t123)) % 16.03/16.59 (define @t205 () (not @t122)) % 16.03/16.59 (define @t206 () (not @t120)) % 16.03/16.59 (define @t207 () (not @t104)) % 16.03/16.59 (define @t208 () (not @t184)) % 16.03/16.59 (define @t209 () (or @t208 @t207)) % 16.03/16.59 (define @t210 () (not @t209)) % 16.03/16.59 (define @t211 () (not (= @t48 @t44))) % 16.03/16.59 (define @t212 () (not (= tptp.sk_c8 (tptp.inverse @t48)))) % 16.03/16.59 (define @t213 () (or @t212 @t211)) % 16.03/16.59 (define @t214 () (@list @t43)) % 16.03/16.59 (define @t215 () (forall @t214 @t213)) % 16.03/16.59 (define @t216 () (not (= tptp.sk_c8 @t51))) % 16.03/16.59 (define @t217 () (not (= tptp.sk_c8 @t53))) % 16.03/16.59 (define @t218 () (or @t217 @t216)) % 16.03/16.59 (define @t219 () (forall (@list @t50) @t218)) % 16.03/16.59 (define @t220 () (not (= tptp.sk_c8 @t57))) % 16.03/16.59 (define @t221 () (@list @t56)) % 16.03/16.59 (define @t222 () (forall @t221 (or (not (= @t9 @t59)) @t220))) % 16.03/16.59 (define @t223 () (not (= @t9 @t9))) % 16.03/16.59 (define @t224 () (= tptp.sk_c6 @t59)) % 16.03/16.59 (define @t225 () (not @t224)) % 16.03/16.59 (define @t226 () (or @t225 @t220)) % 16.03/16.59 (define @t227 () (forall @t221 @t226)) % 16.03/16.59 (define @t228 () (= tptp.sk_c6 @t9)) % 16.03/16.59 (define @t229 () (not @t228)) % 16.03/16.59 (define @t230 () (not (= @t48 @t48))) % 16.03/16.59 (define @t231 () (or @t230 @t212 @t211)) % 16.03/16.59 (define @t232 () (not (= @t42 @t44))) % 16.03/16.59 (define @t233 () (not (= tptp.sk_c8 @t46))) % 16.03/16.59 (define @t234 () (not (= @t42 @t48))) % 16.03/16.59 (define @t235 () (or @t234 @t234 @t233 @t232)) % 16.03/16.59 (define @t236 () (@list @t42)) % 16.03/16.59 (define @t237 () (or @t234 @t233 @t232)) % 16.03/16.59 (define @t238 () (forall @t236 @t237)) % 16.03/16.59 (define @t239 () (forall @t214 @t238)) % 16.03/16.59 (define @t240 () (forall (@list @t43 @t42) @t237)) % 16.03/16.59 (define @t241 () (or @t229 @t110 @t78 @t227 @t219 @t240)) % 16.03/16.59 (define @t242 () (or @t229 @t110 @t77 @t226 @t218 @t237)) % 16.03/16.59 (define @t243 () (or @t229 @t76 @t75 @t225 @t220 @t110 @t217 @t216 @t234 @t233 @t232)) % 16.03/16.59 (define @t244 () (= @t9 @t121)) % 16.03/16.59 (define @t245 () (and @t72 @t91 @t70 @t93 @t120 @t122 @t95 @t123 @t125 @t97 @t127 @t100 @t137 @t140 @t143 @t146 @t149 @t153 @t159 @t163 @t169 @t173 @t177)) % 16.03/16.59 (define @t246 () (not @t244)) % 16.03/16.59 (define @t247 () (or @t246 @t208)) % 16.03/16.59 (define @t248 () (not @t247)) % 16.03/16.59 (define @t249 () (= tptp.sk_c6 @t36)) % 16.03/16.59 (define @t250 () (= @t9 @t36)) % 16.03/16.59 (define @t251 () (= tptp.sk_c8 @t39)) % 16.03/16.59 (define @t252 () (@list tptp.sk_c2)) % 16.03/16.59 (define @t253 () (tptp.multiply tptp.identity @t11)) % 16.03/16.59 (define @t254 () (= @t11 @t253)) % 16.03/16.59 (define @t255 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.03/16.59 (define @t256 () (= tptp.sk_c2 @t255)) % 16.03/16.59 (define @t257 () (= tptp.identity (tptp.multiply @t39 tptp.sk_c2))) % 16.03/16.59 (define @t258 () (tptp.multiply tptp.sk_c8 tptp.sk_c2)) % 16.03/16.59 (define @t259 () (tptp.multiply @t117 @t258)) % 16.03/16.59 (define @t260 () (= (tptp.multiply @t148 tptp.sk_c2) @t259)) % 16.03/16.59 (define @t261 () (tptp.multiply @t118 @t253)) % 16.03/16.59 (define @t262 () (tptp.multiply @t171 @t11)) % 16.03/16.59 (define @t263 () (= @t262 @t261)) % 16.03/16.59 (define @t264 () (tptp.multiply @t36 @t11)) % 16.03/16.59 (define @t265 () (= @t264 (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 @t11)))) % 16.03/16.59 (define @t266 () (and @t72 @t70 @t251 @t250 @t93 @t120 @t122 @t95 @t123 @t125 @t97 @t254 @t127 @t256 @t257 @t134 @t100 @t137 @t140 @t146 @t149 @t153 @t260 @t159 @t163 @t166 @t169 @t263 @t265)) % 16.03/16.59 (define @t267 () (not @t263)) % 16.03/16.59 (define @t268 () (not @t254)) % 16.03/16.59 (define @t269 () (= tptp.sk_c8 @t16)) % 16.03/16.59 (define @t270 () (= tptp.sk_c8 @t19)) % 16.03/16.59 (define @t271 () (= tptp.sk_c4 @t22)) % 16.03/16.59 (define @t272 () (= tptp.sk_c8 @t25)) % 16.03/16.59 (define @t273 () (not @t270)) % 16.03/16.59 (define @t274 () (not @t269)) % 16.03/16.59 (define @t275 () (or @t274 @t273)) % 16.03/16.59 (define @t276 () (not @t275)) % 16.03/16.59 (define @t277 () (tptp.inverse @t25)) % 16.03/16.59 (define @t278 () (tptp.multiply @t84 @t81)) % 16.03/16.59 (define @t279 () (tptp.multiply @t130 tptp.sk_c7)) % 16.03/16.59 (define @t280 () (= @t279 @t278)) % 16.03/16.59 (define @t281 () (tptp.multiply tptp.sk_c8 @t114)) % 16.03/16.59 (define @t282 () (tptp.multiply @t103 tptp.identity)) % 16.03/16.59 (define @t283 () (= @t282 @t281)) % 16.03/16.59 (define @t284 () (tptp.inverse @t277)) % 16.03/16.59 (define @t285 () (tptp.multiply @t284 @t277)) % 16.03/16.59 (define @t286 () (= tptp.identity @t285)) % 16.03/16.59 (define @t287 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 16.03/16.59 (define @t288 () (tptp.multiply tptp.sk_c8 @t287)) % 16.03/16.59 (define @t289 () (tptp.multiply @t9 tptp.sk_c8)) % 16.03/16.59 (define @t290 () (= @t289 @t288)) % 16.03/16.59 (define @t291 () (tptp.multiply @t139 tptp.sk_c1)) % 16.03/16.59 (define @t292 () (= @t291 (tptp.multiply @t103 @t150))) % 16.03/16.59 (define @t293 () (tptp.inverse @t22)) % 16.03/16.59 (define @t294 () (tptp.inverse @t293)) % 16.03/16.59 (define @t295 () (tptp.inverse @t294)) % 16.03/16.59 (define @t296 () (and @t72 @t91 @t271 @t272 @t85 @t82 @t93 @t120 @t122 @t95 @t125 @t97 @t254 @t127 @t129 @t131 @t280 @t283 @t286 @t149 @t156 @t290 @t292 @t169 @t173 @t177 @t263)) % 16.03/16.59 (define @t297 () (@list true)) % 16.03/16.59 (define @t298 () (@list @t72)) % 16.03/16.59 (define @t299 () (@list false false)) % 16.03/16.59 (define @t300 () (@list @t78)) % 16.03/16.59 (define @t301 () (@list @t87)) % 16.03/16.59 (define @t302 () (and @t91 @t85 @t82 @t93 @t95 @t131 @t280)) % 16.03/16.59 (define @t303 () (and @t91 @t271 @t272 @t85 @t82 @t93 @t120 @t122 @t95 @t254 @t127 @t129 @t131 @t280 @t283 @t286 @t149 @t156 @t290 @t169 @t173 @t177 @t263)) % 16.03/16.59 (define @t304 () (and @t91 @t93 @t120 @t122 @t254 @t127 @t169 @t263)) % 16.03/16.59 (assume @p1 @t4) % 16.03/16.59 (assume @p2 @t6) % 16.03/16.59 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.03/16.59 (assume @p4 @t10) % 16.03/16.59 (assume @p5 @t15) % 16.03/16.59 (assume @p6 @t18) % 16.03/16.59 (assume @p7 @t21) % 16.03/16.59 (assume @p8 @t24) % 16.03/16.59 (assume @p9 @t27) % 16.03/16.59 (assume @p10 (or @t14 @t28)) % 16.03/16.59 (assume @p11 @t31) % 16.03/16.59 (assume @p12 @t32) % 16.03/16.59 (assume @p13 @t33) % 16.03/16.59 (assume @p14 @t34) % 16.03/16.59 (assume @p15 @t35) % 16.03/16.59 (assume @p16 (or @t30 @t28)) % 16.03/16.59 (assume @p17 @t38) % 16.03/16.59 (assume @p18 (or @t37 @t17)) % 16.03/16.59 (assume @p19 (or @t37 @t20)) % 16.03/16.59 (assume @p20 (or @t37 @t23)) % 16.03/16.59 (assume @p21 (or @t37 @t26)) % 16.03/16.59 (assume @p22 (or @t37 @t28)) % 16.03/16.59 (assume @p23 @t41) % 16.03/16.59 (assume @p24 (or @t40 @t17)) % 16.03/16.59 (assume @p25 (or @t40 @t20)) % 16.03/16.59 (assume @p26 (or @t40 @t23)) % 16.03/16.59 (assume @p27 (or @t40 @t26)) % 16.03/16.59 (assume @p28 (or @t40 @t28)) % 16.03/16.59 (assume @p29 @t69) % 16.03/16.59 (step @p30 :rule cnf_or_pos :args (@t74)) % 16.03/16.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t73 @t71 (not @t74)))) % 16.03/16.59 (assume-push @p1239 @t78) % 16.03/16.59 (step @p33 :rule instantiate :premises (@p1239) :args (@t79)) % 16.03/16.59 (step-pop @p1240 :rule scope :premises (@p33)) % 16.03/16.59 (step @p34 :rule process_scope :premises (@p1240) :args (@t74)) % 16.03/16.59 (step @p36 :rule implies_elim :premises (@p34)) % 16.03/16.59 (step @p37 :rule alpha_equiv :args (@t78 (@list @t61) (@list @t50))) % 16.03/16.59 (step @p38 :rule equiv_elim2 :premises (@p37)) % 16.03/16.59 (step @p39 :rule refl :args (@t88)) % 16.03/16.59 (step @p40 :rule bool-double-not-elim :args (@t78)) % 16.03/16.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t89) @t88))) % 16.03/16.59 (assume-push @p1241 @t89) % 16.03/16.59 (step @p43 :rule skolemize :premises (@p1241)) % 16.03/16.59 (step-pop @p1242 :rule scope :premises (@p43)) % 16.03/16.59 (step @p44 :rule process_scope :premises (@p1242) :args (@t88)) % 16.03/16.59 (step @p46 :rule implies_elim :premises (@p44)) % 16.03/16.59 (step @p47 :rule eq_resolve :premises (@p46 @p41)) % 16.03/16.59 (step @p48 :rule bool-double-not-elim :args (@t85)) % 16.03/16.59 (step @p49 :rule refl :args (@t87)) % 16.03/16.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t87 (not @t86)))) % 16.03/16.59 (step @p51 :rule cnf_or_neg :args (@t87 0)) % 16.03/16.59 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 16.03/16.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t85 @t87))) % 16.03/16.59 (step @p54 :rule eq-symm :args (@t2 @t1)) % 16.03/16.59 (step @p55 :rule cong :premises (@p54) :args (@t4)) % 16.03/16.59 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 16.03/16.59 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.identity))) % 16.03/16.59 (step @p58 :rule instantiate :premises (@p56) :args (@t90)) % 16.03/16.59 (step @p59 :rule eq-symm :args (@t5 tptp.identity)) % 16.03/16.59 (step @p60 :rule cong :premises (@p59) :args (@t6)) % 16.03/16.59 (step @p61 :rule eq_resolve :premises (@p2 @p60)) % 16.03/16.59 (step @p62 :rule instantiate :premises (@p61) :args (@t79)) % 16.03/16.59 (step @p63 :rule instantiate :premises (@p3) :args ((@list @t13 tptp.sk_c1 tptp.sk_c7))) % 16.03/16.59 (assume-push @p1243 @t72) % 16.03/16.59 (assume-push @p1244 @t91) % 16.03/16.59 (assume-push @p1245 @t70) % 16.03/16.59 (assume-push @p1246 @t93) % 16.03/16.59 (assume-push @p1247 @t95) % 16.03/16.59 (assume-push @p1248 @t97) % 16.03/16.59 (assume-push @p1249 @t100) % 16.03/16.59 (assume-push @p1250 @t72) % 16.03/16.59 (assume-push @p1251 @t70) % 16.03/16.59 (assume-push @p1252 @t100) % 16.03/16.59 (assume-push @p1253 @t97) % 16.03/16.59 (assume-push @p1254 @t95) % 16.03/16.59 (assume-push @p1255 @t93) % 16.03/16.59 (assume-push @p1256 @t91) % 16.03/16.59 (step @p78 :rule symm :premises (@p1245)) % 16.03/16.59 (step @p79 :rule symm :premises (@p1243)) % 16.03/16.59 (step @p80 :rule cong :premises (@p79 @p78) :args (@t98)) % 16.03/16.59 (step @p81 :rule symm :premises (@p58)) % 16.03/16.59 (step @p82 :rule cong :premises (@p62 @p81) :args (@t101)) % 16.03/16.59 (step @p83 :rule symm :premises (@p57)) % 16.03/16.59 (step @p84 :rule cong :premises (@p83 @p58) :args (@t102)) % 16.03/16.59 (step @p85 :rule refl :args (tptp.sk_c7)) % 16.03/16.59 (step @p86 :rule cong :premises (@p57 @p85) :args (@t94)) % 16.03/16.59 (step @p87 :rule symm :premises (@p1244)) % 16.03/16.59 (step @p88 :rule trans :premises (@p87 @p58 @p86 @p84 @p82 @p63 @p80)) % 16.03/16.59 (step-pop @p1257 :rule scope :premises (@p88)) % 16.03/16.59 (step-pop @p1258 :rule scope :premises (@p1257)) % 16.03/16.59 (step-pop @p1259 :rule scope :premises (@p1258)) % 16.03/16.59 (step-pop @p1260 :rule scope :premises (@p1259)) % 16.03/16.59 (step-pop @p1261 :rule scope :premises (@p1260)) % 16.03/16.59 (step-pop @p1262 :rule scope :premises (@p1261)) % 16.03/16.59 (step-pop @p1263 :rule scope :premises (@p1262)) % 16.03/16.59 (step @p89 :rule process_scope :premises (@p1263) :args (@t104)) % 16.03/16.59 (step @p97 :rule and_intro :premises (@p1243 @p1245 @p63 @p62 @p58 @p57 @p1244)) % 16.03/16.59 (step @p98 :rule modus_ponens :premises (@p97 @p89)) % 16.03/16.59 (step-pop @p1264 :rule scope :premises (@p98)) % 16.03/16.59 (step-pop @p1265 :rule scope :premises (@p1264)) % 16.03/16.59 (step-pop @p1266 :rule scope :premises (@p1265)) % 16.03/16.59 (step-pop @p1267 :rule scope :premises (@p1266)) % 16.03/16.59 (step-pop @p1268 :rule scope :premises (@p1267)) % 16.03/16.59 (step-pop @p1269 :rule scope :premises (@p1268)) % 16.03/16.59 (step-pop @p1270 :rule scope :premises (@p1269)) % 16.03/16.59 (step @p99 :rule process_scope :premises (@p1270) :args (@t104)) % 16.03/16.59 (step @p107 :rule implies_elim :premises (@p99)) % 16.03/16.59 (step @p108 :rule cnf_and_neg :args (@t105)) % 16.03/16.59 (step @p109 :rule resolution :premises (@p108 @p107) :args (true @t105)) % 16.03/16.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t110 @t73 @t71 @t109 @t108 @t107 @t106 @t104))) % 16.03/16.59 (step @p111 :rule instantiate :premises (@p56) :args (@t111)) % 16.03/16.59 (step @p112 :rule instantiate :premises (@p61) :args (@t111)) % 16.03/16.59 (step @p113 :rule instantiate :premises (@p61) :args (@t90)) % 16.03/16.59 (step @p114 :rule instantiate :premises (@p56) :args (@t79)) % 16.03/16.59 (step @p115 :rule instantiate :premises (@p61) :args (@t112)) % 16.03/16.59 (step @p116 :rule instantiate :premises (@p56) :args (@t113)) % 16.03/16.59 (step @p117 :rule instantiate :premises (@p61) :args (@t113)) % 16.03/16.59 (step @p118 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c8 tptp.sk_c8))) % 16.03/16.59 (step @p119 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.identity tptp.sk_c8))) % 16.03/16.59 (step @p120 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c8 tptp.sk_c8))) % 16.03/16.59 (step @p121 :rule instantiate :premises (@p61) :args ((@list @t115))) % 16.03/16.59 (step @p122 :rule instantiate :premises (@p3) :args ((@list @t116 tptp.sk_c8 tptp.identity))) % 16.03/16.59 (step @p123 :rule instantiate :premises (@p3) :args ((@list @t116 tptp.sk_c8 tptp.sk_c8))) % 16.03/16.59 (step @p124 :rule instantiate :premises (@p3) :args ((@list @t117 tptp.sk_c8 tptp.sk_c1))) % 16.03/16.59 (step @p125 :rule instantiate :premises (@p3) :args ((@list @t117 tptp.sk_c8 @t80))) % 16.03/16.59 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t116 @t114 tptp.sk_c8))) % 16.03/16.59 (step @p127 :rule instantiate :premises (@p3) :args ((@list @t13 tptp.sk_c1 tptp.sk_c8))) % 16.03/16.59 (step @p128 :rule instantiate :premises (@p3) :args ((@list @t117 tptp.sk_c8 tptp.sk_c7))) % 16.03/16.59 (step @p129 :rule instantiate :premises (@p3) :args ((@list @t118 @t11 tptp.sk_c8))) % 16.03/16.59 (step @p130 :rule instantiate :premises (@p3) :args ((@list @t118 tptp.identity tptp.sk_c8))) % 16.03/16.59 (step @p131 :rule instantiate :premises (@p3) :args ((@list @t118 tptp.sk_c8 tptp.sk_c8))) % 16.03/16.59 (assume-push @p1271 @t72) % 16.03/16.59 (assume-push @p1272 @t91) % 16.03/16.59 (assume-push @p1273 @t70) % 16.03/16.59 (assume-push @p1274 @t85) % 16.03/16.59 (assume-push @p1275 @t93) % 16.03/16.59 (assume-push @p1276 @t120) % 16.03/16.59 (assume-push @p1277 @t122) % 16.03/16.59 (assume-push @p1278 @t95) % 16.03/16.59 (assume-push @p1279 @t123) % 16.03/16.59 (assume-push @p1280 @t125) % 16.03/16.59 (assume-push @p1281 @t97) % 16.03/16.59 (assume-push @p1282 @t127) % 16.03/16.59 (assume-push @p1283 @t129) % 16.03/16.59 (assume-push @p1284 @t131) % 16.03/16.59 (assume-push @p1285 @t134) % 16.03/16.59 (assume-push @p1286 @t100) % 16.03/16.59 (assume-push @p1287 @t137) % 16.03/16.59 (assume-push @p1288 @t140) % 16.03/16.59 (assume-push @p1289 @t143) % 16.03/16.59 (assume-push @p1290 @t146) % 16.03/16.59 (assume-push @p1291 @t149) % 16.03/16.59 (assume-push @p1292 @t153) % 16.03/16.59 (assume-push @p1293 @t156) % 16.03/16.59 (assume-push @p1294 @t159) % 16.03/16.59 (assume-push @p1295 @t163) % 16.03/16.59 (assume-push @p1296 @t166) % 16.03/16.59 (assume-push @p1297 @t169) % 16.03/16.59 (assume-push @p1298 @t173) % 16.03/16.59 (assume-push @p1299 @t177) % 16.03/16.59 (assume-push @p1300 @t120) % 16.03/16.59 (assume-push @p1301 @t93) % 16.03/16.59 (assume-push @p1302 @t97) % 16.03/16.59 (assume-push @p1303 @t163) % 16.03/16.59 (assume-push @p1304 @t72) % 16.03/16.59 (assume-push @p1305 @t125) % 16.03/16.59 (assume-push @p1306 @t123) % 16.03/16.59 (assume-push @p1307 @t95) % 16.03/16.59 (assume-push @p1308 @t100) % 16.03/16.59 (assume-push @p1309 @t70) % 16.03/16.59 (assume-push @p1310 @t149) % 16.03/16.59 (assume-push @p1311 @t153) % 16.03/16.59 (assume-push @p1312 @t146) % 16.03/16.59 (assume-push @p1313 @t159) % 16.03/16.59 (assume-push @p1314 @t137) % 16.03/16.59 (assume-push @p1315 @t91) % 16.03/16.59 (assume-push @p1316 @t134) % 16.03/16.59 (assume-push @p1317 @t166) % 16.03/16.59 (assume-push @p1318 @t140) % 16.03/16.59 (assume-push @p1319 @t127) % 16.03/16.59 (assume-push @p1320 @t169) % 16.03/16.59 (assume-push @p1321 @t122) % 16.03/16.59 (assume-push @p1322 @t173) % 16.03/16.59 (assume-push @p1323 @t177) % 16.03/16.59 (assume-push @p1324 @t143) % 16.03/16.59 (assume-push @p1325 @t131) % 16.03/16.59 (assume-push @p1326 @t85) % 16.03/16.59 (assume-push @p1327 @t156) % 16.03/16.59 (assume-push @p1328 @t129) % 16.03/16.59 (step @p190 :rule symm :premises (@p111)) % 16.03/16.59 (step @p191 :rule refl :args (tptp.sk_c8)) % 16.03/16.59 (step @p83 :rule symm :premises (@p57)) % 16.03/16.59 (step @p192 :rule cong :premises (@p83 @p191) :args (@t178)) % 16.03/16.59 (step @p193 :rule cong :premises (@p57 @p190) :args (@t179)) % 16.03/16.59 (step @p194 :rule symm :premises (@p62)) % 16.03/16.59 (step @p195 :rule cong :premises (@p194 @p111) :args (@t162)) % 16.03/16.59 (step @p196 :rule symm :premises (@p127)) % 16.03/16.59 (step @p197 :rule symm :premises (@p114)) % 16.03/16.59 (step @p198 :rule refl :args (tptp.sk_c1)) % 16.03/16.59 (step @p199 :rule cong :premises (@p83 @p198) :args (@t180)) % 16.03/16.59 (step @p200 :rule cong :premises (@p57 @p197) :args (@t181)) % 16.03/16.59 (step @p201 :rule symm :premises (@p113)) % 16.03/16.59 (step @p81 :rule symm :premises (@p58)) % 16.03/16.59 (step @p85 :rule refl :args (tptp.sk_c7)) % 16.03/16.59 (step @p202 :rule cong :premises (@p83 @p85) :args (@t102)) % 16.03/16.59 (step @p203 :rule cong :premises (@p57 @p81) :args (@t101)) % 16.03/16.59 (step @p204 :rule cong :premises (@p194 @p58) :args (@t99)) % 16.03/16.59 (step @p205 :rule symm :premises (@p63)) % 16.03/16.59 (step @p206 :rule cong :premises 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@p1747 @t127) % 16.03/16.59 (assume-push @p1748 @t129) % 16.03/16.59 (assume-push @p1749 @t131) % 16.03/16.59 (assume-push @p1750 @t280) % 16.03/16.59 (assume-push @p1751 @t283) % 16.03/16.59 (assume-push @p1752 @t286) % 16.03/16.59 (assume-push @p1753 @t149) % 16.03/16.59 (assume-push @p1754 @t156) % 16.03/16.59 (assume-push @p1755 @t290) % 16.03/16.59 (assume-push @p1756 @t169) % 16.03/16.59 (assume-push @p1757 @t173) % 16.03/16.59 (assume-push @p1758 @t177) % 16.03/16.59 (assume-push @p1759 @t263) % 16.03/16.59 (assume-push @p1760 @t91) % 16.03/16.59 (assume-push @p1761 @t272) % 16.03/16.59 (assume-push @p1762 @t271) % 16.03/16.59 (assume-push @p1763 @t95) % 16.03/16.59 (assume-push @p1764 @t93) % 16.03/16.59 (assume-push @p1765 @t131) % 16.03/16.59 (assume-push @p1766 @t280) % 16.03/16.59 (assume-push @p1767 @t85) % 16.03/16.59 (assume-push @p1768 @t82) % 16.03/16.59 (assume-push @p1769 @t120) % 16.03/16.59 (assume-push @p1770 @t127) % 16.03/16.59 (assume-push @p1771 @t169) % 16.03/16.59 (assume-push @p1772 @t122) % 16.03/16.59 (assume-push @p1773 @t173) % 16.03/16.59 (assume-push @p1774 @t254) % 16.03/16.59 (assume-push @p1775 @t263) % 16.03/16.59 (assume-push @p1776 @t290) % 16.03/16.59 (assume-push @p1777 @t283) % 16.03/16.59 (assume-push @p1778 @t156) % 16.03/16.59 (assume-push @p1779 @t149) % 16.03/16.59 (assume-push @p1780 @t177) % 16.03/16.59 (assume-push @p1781 @t286) % 16.03/16.59 (assume-push @p1782 @t129) % 16.03/16.59 (step @p1090 :rule cong :premises (@p1737) :args (@t116)) % 16.03/16.59 (step @p1091 :rule symm :premises (@p1737)) % 16.03/16.59 (step @p1092 :rule symm :premises (@p1739)) % 16.03/16.59 (step @p1093 :rule symm :premises (@p1738)) % 16.03/16.59 (step @p1094 :rule cong :premises (@p1093) :args (@t293)) % 16.03/16.59 (step @p1095 :rule trans :premises (@p1094 @p1092)) % 16.03/16.59 (step @p1096 :rule cong :premises (@p1095) :args (@t294)) % 16.03/16.59 (step @p1097 :rule trans :premises (@p1096 @p1091)) % 16.03/16.59 (step @p1098 :rule cong :premises (@p1097) :args (@t295)) % 16.03/16.59 (step @p1099 :rule symm :premises (@p1094)) % 16.03/16.59 (step @p1100 :rule cong :premises (@p1099) :args (@t277)) % 16.03/16.59 (step @p1101 :rule cong :premises (@p1100) :args (@t284)) % 16.03/16.59 (step @p1102 :rule symm :premises (@p1100)) % 16.03/16.59 (step @p1103 :rule symm :premises (@p1096)) % 16.03/16.59 (step @p81 :rule symm :premises (@p58)) % 16.03/16.59 (step @p85 :rule refl :args (tptp.sk_c7)) % 16.03/16.59 (step @p83 :rule symm :premises (@p57)) % 16.03/16.59 (step @p202 :rule cong :premises (@p83 @p85) :args (@t102)) % 16.03/16.59 (step @p203 :rule cong :premises (@p57 @p81) :args (@t101)) % 16.03/16.59 (step @p260 :rule symm :premises (@p117)) % 16.03/16.59 (step @p871 :rule cong :premises (@p260 @p58) :args (@t279)) % 16.03/16.59 (step @p872 :rule symm :premises (@p805)) % 16.03/16.59 (step @p1104 :rule cong :premises (@p1740 @p1741) :args (@t103)) % 16.03/16.59 (step @p191 :rule refl :args (tptp.sk_c8)) % 16.03/16.59 (step @p190 :rule symm :premises (@p111)) % 16.03/16.59 (step @p192 :rule cong :premises (@p83 @p191) :args (@t178)) % 16.03/16.59 (step @p193 :rule cong :premises (@p57 @p190) :args (@t179)) % 16.03/16.59 (step @p242 :rule symm :premises (@p115)) % 16.03/16.59 (step @p243 :rule cong :premises (@p242 @p111) :args (@t168)) % 16.03/16.59 (step @p244 :rule symm :premises (@p129)) % 16.03/16.59 (step @p245 :rule refl :args (@t118)) % 16.03/16.59 (step @p246 :rule cong :premises (@p245 @p112) :args (@t171)) % 16.03/16.59 (step @p247 :rule trans :premises (@p246 @p244 @p243 @p193 @p192 @p190)) % 16.03/16.59 (step @p248 :rule cong :premises (@p247 @p191) :args (@t172)) % 16.03/16.59 (step @p249 :rule symm :premises (@p130)) % 16.03/16.59 (step @p1105 :rule cong :premises (@p1090 @p111) :args (@t117)) % 16.03/16.59 (step @p1106 :rule trans :premises (@p1105 @p249 @p248 @p1104 @p872 @p871 @p203 @p202 @p81 @p1737 @p1103 @p1102)) % 16.03/16.59 (step @p1107 :rule cong :premises (@p1106) :args ((tptp.inverse @t117))) % 16.03/16.59 (step @p1108 :rule symm :premises (@p1105)) % 16.03/16.59 (step @p501 :rule symm :premises (@p112)) % 16.03/16.59 (step @p502 :rule cong :premises (@p245 @p501) :args (@t167)) % 16.03/16.59 (step @p503 :rule cong :premises (@p115 @p190) :args (@t179)) % 16.03/16.59 (step @p493 :rule cong :premises (@p83 @p111) :args (@t178)) % 16.03/16.59 (step @p494 :rule cong :premises (@p57 @p191) :args (@t119)) % 16.03/16.59 (step @p504 :rule trans :premises (@p111 @p494 @p493 @p503 @p129 @p502)) % 16.03/16.59 (step @p505 :rule cong :premises (@p504 @p191) :args (@t103)) % 16.03/16.59 (step @p651 :rule symm :premises (@p587)) % 16.03/16.59 (step @p1109 :rule cong :premises (@p245 @p651) :args (@t261)) % 16.03/16.59 (step @p1110 :rule cong :premises (@p504 @p1737) :args (@t9)) % 16.03/16.59 (step @p1111 :rule trans :premises (@p1110 @p591 @p1109 @p242)) % 16.03/16.59 (step @p1112 :rule cong :premises (@p1111 @p111) :args (@t289)) % 16.03/16.59 (step @p1113 :rule symm :premises (@p808)) % 16.03/16.59 (step @p1114 :rule cong :premises (@p1091 @p191) :args (@t121)) % 16.03/16.59 (step @p1115 :rule trans :premises (@p112 @p1114)) % 16.03/16.59 (step @p1116 :rule cong :premises (@p191 @p1115) :args (@t114)) % 16.03/16.59 (step @p1117 :rule trans :premises (@p1116 @p1113 @p1112 @p193 @p192 @p190)) % 16.03/16.59 (step @p1118 :rule cong :premises (@p191 @p1117) :args (@t281)) % 16.03/16.59 (step @p261 :rule refl :args (@t80)) % 16.03/16.59 (step @p1119 :rule cong :premises (@p1740 @p261) :args (@t154)) % 16.03/16.59 (step @p1120 :rule trans :premises (@p1119 @p260)) % 16.03/16.59 (step @p1121 :rule trans :premises (@p1105 @p249 @p248)) % 16.03/16.59 (step @p1122 :rule cong :premises (@p1121 @p1120) :args (@t155)) % 16.03/16.59 (step @p265 :rule symm :premises (@p116)) % 16.03/16.59 (step @p480 :rule symm :premises (@p123)) % 16.03/16.59 (step @p884 :rule refl :args (@t103)) % 16.03/16.59 (step @p1123 :rule symm :premises (@p1090)) % 16.03/16.59 (step @p1124 :rule cong :premises (@p1123 @p884) :args (@t174)) % 16.03/16.59 (step @p500 :rule cong :premises (@p245 @p190) :args (@t170)) % 16.03/16.59 (step @p506 :rule trans :premises (@p505 @p130 @p500)) % 16.03/16.59 (step @p507 :rule cong :premises (@p506 @p191) :args (@t139)) % 16.03/16.59 (step @p1125 :rule trans :premises (@p507 @p131 @p1124 @p480)) % 16.03/16.59 (step @p250 :rule cong :premises (@p245 @p111) :args (@t175)) % 16.03/16.59 (step @p251 :rule trans :premises (@p250 @p249 @p248)) % 16.03/16.59 (step @p252 :rule cong :premises (@p251 @p191) :args (@t176)) % 16.03/16.59 (step @p253 :rule symm :premises (@p131)) % 16.03/16.59 (step @p1126 :rule symm :premises (@p1124)) % 16.03/16.59 (step @p1127 :rule symm :premises (@p1104)) % 16.03/16.59 (step @p1013 :rule cong :premises (@p117 @p81) :args (@t101)) % 16.03/16.59 (step @p84 :rule cong :premises (@p83 @p58) :args (@t102)) % 16.03/16.59 (step @p86 :rule cong :premises (@p57 @p85) :args (@t94)) % 16.03/16.59 (step @p1128 :rule trans :premises (@p1100 @p1096 @p1091 @p58 @p86 @p84 @p1013 @p805 @p1127)) % 16.03/16.59 (step @p1129 :rule trans :premises (@p1101 @p1098 @p1090)) % 16.03/16.59 (step @p1130 :rule trans :premises (@p1129 @p1123)) % 16.03/16.59 (step @p1131 :rule cong :premises (@p1130 @p1128) :args (@t285)) % 16.03/16.59 (step @p1132 :rule trans :premises (@p807 @p1131 @p1126 @p253 @p252)) % 16.03/16.59 (step @p1133 :rule trans :premises (@p1132 @p1125)) % 16.03/16.59 (step @p1134 :rule cong :premises (@p1133 @p265) :args (@t182)) % 16.03/16.59 (step @p268 :rule cong :premises (@p83 @p116) :args (@t183)) % 16.03/16.59 (step @p269 :rule cong :premises (@p57 @p261) :args (@t128)) % 16.03/16.59 (step @p1135 :rule trans :premises (@p116 @p269 @p268 @p1134 @p125 @p1122 @p806 @p1118 @p505 @p130 @p1108)) % 16.03/16.59 (step @p1136 :rule cong :premises (@p1135) :args (@t84)) % 16.03/16.59 (step @p1137 :rule trans :premises (@p1740 @p1136 @p1107 @p1101 @p1098 @p1090)) % 16.03/16.59 (step-pop @p1783 :rule scope :premises (@p1137)) % 16.03/16.59 (step-pop @p1784 :rule scope :premises (@p1783)) % 16.03/16.59 (step-pop @p1785 :rule scope :premises (@p1784)) % 16.03/16.59 (step-pop @p1786 :rule scope :premises (@p1785)) % 16.03/16.59 (step-pop @p1787 :rule scope :premises (@p1786)) % 16.03/16.59 (step-pop @p1788 :rule scope :premises (@p1787)) % 16.03/16.59 (step-pop @p1789 :rule scope :premises (@p1788)) % 16.03/16.59 (step-pop @p1790 :rule scope :premises (@p1789)) % 16.03/16.59 (step-pop @p1791 :rule scope :premises (@p1790)) % 16.03/16.59 (step-pop @p1792 :rule scope :premises (@p1791)) % 16.03/16.59 (step-pop @p1793 :rule scope :premises (@p1792)) % 16.03/16.59 (step-pop @p1794 :rule scope :premises (@p1793)) % 16.03/16.59 (step-pop @p1795 :rule scope :premises (@p1794)) % 16.03/16.59 (step-pop @p1796 :rule scope :premises (@p1795)) % 16.03/16.59 (step-pop @p1797 :rule scope :premises (@p1796)) % 16.03/16.59 (step-pop @p1798 :rule scope :premises (@p1797)) % 16.03/16.59 (step-pop @p1799 :rule scope :premises (@p1798)) % 16.03/16.59 (step-pop @p1800 :rule scope :premises (@p1799)) % 16.03/16.59 (step-pop @p1801 :rule scope :premises (@p1800)) % 16.03/16.59 (step-pop @p1802 :rule scope :premises (@p1801)) % 16.03/16.59 (step-pop @p1803 :rule scope :premises (@p1802)) % 16.03/16.59 (step-pop @p1804 :rule scope :premises (@p1803)) % 16.03/16.59 (step-pop @p1805 :rule scope :premises (@p1804)) % 16.03/16.59 (step @p1138 :rule process_scope :premises (@p1805) :args (@t184)) % 16.03/16.59 (step @p1162 :rule and_intro :premises (@p1737 @p1739 @p1738 @p58 @p57 @p117 @p805 @p1740 @p1741 @p111 @p115 @p129 @p112 @p130 @p587 @p591 @p808 @p806 @p125 @p123 @p131 @p807 @p116)) % 16.03/16.59 (step @p1163 :rule modus_ponens :premises (@p1162 @p1138)) % 16.03/16.59 (step-pop @p1806 :rule scope :premises (@p1163)) % 16.03/16.59 (step-pop @p1807 :rule scope :premises (@p1806)) % 16.03/16.59 (step-pop @p1808 :rule scope :premises (@p1807)) % 16.03/16.59 (step-pop @p1809 :rule scope :premises (@p1808)) % 16.03/16.59 (step-pop @p1810 :rule scope :premises (@p1809)) % 16.03/16.59 (step-pop @p1811 :rule scope :premises (@p1810)) % 16.03/16.59 (step-pop @p1812 :rule scope :premises (@p1811)) % 16.03/16.59 (step-pop @p1813 :rule scope :premises (@p1812)) % 16.03/16.59 (step-pop @p1814 :rule scope :premises (@p1813)) % 16.03/16.59 (step-pop @p1815 :rule scope :premises (@p1814)) % 16.03/16.59 (step-pop @p1816 :rule scope :premises (@p1815)) % 16.03/16.59 (step-pop @p1817 :rule scope :premises (@p1816)) % 16.03/16.59 (step-pop @p1818 :rule scope :premises (@p1817)) % 16.03/16.59 (step-pop @p1819 :rule scope :premises (@p1818)) % 16.03/16.59 (step-pop @p1820 :rule scope :premises (@p1819)) % 16.03/16.59 (step-pop @p1821 :rule scope :premises (@p1820)) % 16.03/16.59 (step-pop @p1822 :rule scope :premises (@p1821)) % 16.03/16.59 (step-pop @p1823 :rule scope :premises (@p1822)) % 16.03/16.59 (step-pop @p1824 :rule scope :premises (@p1823)) % 16.03/16.59 (step-pop @p1825 :rule scope :premises (@p1824)) % 16.03/16.59 (step-pop @p1826 :rule scope :premises (@p1825)) % 16.03/16.59 (step-pop @p1827 :rule scope :premises (@p1826)) % 16.03/16.59 (step-pop @p1828 :rule scope :premises (@p1827)) % 16.03/16.59 (step @p1164 :rule process_scope :premises (@p1828) :args (@t184)) % 16.03/16.59 (step @p1188 :rule implies_elim :premises (@p1164)) % 16.03/16.59 (step @p1189 :rule cnf_and_neg :args (@t303)) % 16.03/16.59 (step @p1190 :rule resolution :premises (@p1189 @p1188) :args (true @t303)) % 16.03/16.59 (step @p1191 :rule chain_m_resolution :premises (@p1190 @p983 @p1043 @p1040 @p995 @p994 @p57 @p111 @p112 @p58 @p587 @p115 @p116 @p117 @p805 @p806 @p807 @p123 @p125 @p808 @p129 @p130 @p131 @p591) :args (@t184 (@list false false false false false false false false false false false false false false false false false false false false false false false) (@list @t91 @t271 @t272 @t85 @t82 @t93 @t120 @t122 @t95 @t254 @t127 @t129 @t131 @t280 @t283 @t286 @t149 @t156 @t290 @t169 @t173 @t177 @t263))) % 16.03/16.59 (step @p1192 :rule chain_m_resolution :premises (@p340 @p1191 @p1037) :args (@t210 @t299 (@list @t184 @t104))) % 16.03/16.59 (step @p1193 :rule chain_m_resolution :premises (@p345 @p1192) :args ((not @t215) @t297 (@list @t209))) % 16.03/16.59 (assume-push @p1829 @t91) % 16.03/16.59 (assume-push @p1830 @t93) % 16.03/16.59 (assume-push @p1831 @t120) % 16.03/16.59 (assume-push @p1832 @t122) % 16.03/16.59 (assume-push @p1833 @t254) % 16.03/16.59 (assume-push @p1834 @t127) % 16.03/16.59 (assume-push @p1835 @t169) % 16.03/16.59 (assume-push @p1836 @t263) % 16.03/16.59 (assume-push @p1837 @t122) % 16.03/16.59 (assume-push @p1838 @t127) % 16.03/16.59 (assume-push @p1839 @t254) % 16.03/16.59 (assume-push @p1840 @t263) % 16.03/16.59 (assume-push @p1841 @t169) % 16.03/16.59 (assume-push @p1842 @t120) % 16.03/16.59 (assume-push @p1843 @t93) % 16.03/16.59 (assume-push @p1844 @t91) % 16.03/16.59 (step @p242 :rule symm :premises (@p115)) % 16.03/16.59 (step @p651 :rule symm :premises (@p587)) % 16.03/16.59 (step @p245 :rule refl :args (@t118)) % 16.03/16.59 (step @p1109 :rule cong :premises (@p245 @p651) :args (@t261)) % 16.03/16.59 (step @p501 :rule symm :premises (@p112)) % 16.03/16.59 (step @p502 :rule cong :premises (@p245 @p501) :args (@t167)) % 16.03/16.59 (step @p190 :rule symm :premises (@p111)) % 16.03/16.59 (step @p503 :rule cong :premises (@p115 @p190) :args (@t179)) % 16.03/16.59 (step @p83 :rule symm :premises (@p57)) % 16.03/16.59 (step @p493 :rule cong :premises (@p83 @p111) :args (@t178)) % 16.03/16.59 (step @p191 :rule refl :args (tptp.sk_c8)) % 16.03/16.59 (step @p494 :rule cong :premises (@p57 @p191) :args (@t119)) % 16.03/16.59 (step @p504 :rule trans :premises (@p111 @p494 @p493 @p503 @p129 @p502)) % 16.03/16.59 (step @p1210 :rule cong :premises (@p504 @p1829) :args (@t9)) % 16.03/16.59 (step @p1211 :rule trans :premises (@p1210 @p591 @p1109 @p242 @p112)) % 16.03/16.59 (step-pop @p1845 :rule scope :premises (@p1211)) % 16.03/16.59 (step-pop @p1846 :rule scope :premises (@p1845)) % 16.03/16.59 (step-pop @p1847 :rule scope :premises (@p1846)) % 16.03/16.59 (step-pop @p1848 :rule scope :premises (@p1847)) % 16.03/16.59 (step-pop @p1849 :rule scope :premises (@p1848)) % 16.03/16.59 (step-pop @p1850 :rule scope :premises (@p1849)) % 16.03/16.59 (step-pop @p1851 :rule scope :premises (@p1850)) % 16.03/16.59 (step-pop @p1852 :rule scope :premises (@p1851)) % 16.03/16.59 (step @p1212 :rule process_scope :premises (@p1852) :args (@t244)) % 16.03/16.59 (step @p1221 :rule and_intro :premises (@p112 @p115 @p587 @p591 @p129 @p111 @p57 @p1829)) % 16.03/16.59 (step @p1222 :rule modus_ponens :premises (@p1221 @p1212)) % 16.03/16.59 (step-pop @p1853 :rule scope :premises (@p1222)) % 16.03/16.59 (step-pop @p1854 :rule scope :premises (@p1853)) % 16.03/16.59 (step-pop @p1855 :rule scope :premises (@p1854)) % 16.03/16.59 (step-pop @p1856 :rule scope :premises (@p1855)) % 16.03/16.59 (step-pop @p1857 :rule scope :premises (@p1856)) % 16.03/16.59 (step-pop @p1858 :rule scope :premises (@p1857)) % 16.03/16.59 (step-pop @p1859 :rule scope :premises (@p1858)) % 16.03/16.59 (step-pop @p1860 :rule scope :premises (@p1859)) % 16.03/16.59 (step @p1223 :rule process_scope :premises (@p1860) :args (@t244)) % 16.03/16.59 (step @p1232 :rule implies_elim :premises (@p1223)) % 16.03/16.59 (step @p1233 :rule cnf_and_neg :args (@t304)) % 16.03/16.59 (step @p1234 :rule resolution :premises (@p1233 @p1232) :args (true @t304)) % 16.03/16.59 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p983 @p57 @p111 @p112 @p587 @p115 @p129 @p591) :args (@t244 (@list false false false false false false false false) (@list @t91 @t93 @t120 @t122 @t254 @t127 @t169 @t263))) % 16.03/16.59 (step @p1236 :rule chain_m_resolution :premises (@p567 @p1191 @p1235) :args (@t248 @t299 (@list @t184 @t244))) % 16.03/16.59 (step @p1237 :rule chain_m_resolution :premises (@p572 @p1236) :args ((not @t222) @t297 (@list @t247))) % 16.03/16.59 (step @p1238 false :rule chain_m_resolution :premises (@p423 @p1237 @p1193 @p991 @p992 @p983) :args (false (@list true true true true false) (@list @t222 @t215 @t78 @t219 @t91))) % 16.03/16.59 ) % 16.03/16.59 % SZS output end Proof % 16.03/16.59 % cvc5 exiting %------------------------------------------------------------------------------