%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP246-1 : 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 : n028.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 08:20:18 AM UTC 2026 % Result : Unsatisfiable 16.04s 16.35s % Output : Proof 16.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP246-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 01:00:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- 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... % 16.04/16.35 % SZS status Unsatisfiable % 16.04/16.35 % SZS output start Proof % 16.04/16.36 ( % 16.04/16.36 (declare-sort $$unsorted 0) % 16.04/16.36 (declare-const tptp.sk_c3 $$unsorted) % 16.04/16.36 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.04/16.36 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.04/16.36 (declare-const tptp.identity $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c5 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c10 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c8 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c11 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c7 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c4 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c1 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c9 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c2 $$unsorted) % 16.04/16.36 (declare-const tptp.sk_c6 $$unsorted) % 16.04/16.36 (define @t1 () (@var "X" $$unsorted)) % 16.04/16.36 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.04/16.36 (define @t3 () (@list @t1)) % 16.04/16.36 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.04/16.36 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.04/16.36 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.04/16.36 (define @t7 () (@var "Z" $$unsorted)) % 16.04/16.36 (define @t8 () (@var "Y" $$unsorted)) % 16.04/16.36 (define @t9 () (tptp.multiply tptp.sk_c4 tptp.sk_c11)) % 16.04/16.36 (define @t10 () (= @t9 tptp.sk_c10)) % 16.04/16.36 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 16.04/16.36 (define @t12 () (= @t11 tptp.sk_c10)) % 16.04/16.36 (define @t13 () (or @t12 @t10)) % 16.04/16.36 (define @t14 () (tptp.inverse tptp.sk_c4)) % 16.04/16.36 (define @t15 () (= @t14 tptp.sk_c11)) % 16.04/16.36 (define @t16 () (or @t12 @t15)) % 16.04/16.36 (define @t17 () (tptp.multiply tptp.sk_c5 tptp.sk_c10)) % 16.04/16.36 (define @t18 () (= @t17 tptp.sk_c9)) % 16.04/16.36 (define @t19 () (or @t12 @t18)) % 16.04/16.36 (define @t20 () (tptp.inverse tptp.sk_c5)) % 16.04/16.36 (define @t21 () (= @t20 tptp.sk_c10)) % 16.04/16.36 (define @t22 () (or @t12 @t21)) % 16.04/16.36 (define @t23 () (tptp.inverse tptp.sk_c6)) % 16.04/16.36 (define @t24 () (= @t23 tptp.sk_c11)) % 16.04/16.36 (define @t25 () (or @t12 @t24)) % 16.04/16.36 (define @t26 () (tptp.multiply tptp.sk_c6 tptp.sk_c10)) % 16.04/16.36 (define @t27 () (= @t26 tptp.sk_c11)) % 16.04/16.36 (define @t28 () (or @t12 @t27)) % 16.04/16.36 (define @t29 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c10)) % 16.04/16.36 (define @t30 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c8)) % 16.04/16.36 (define @t31 () (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c10)) % 16.04/16.36 (define @t32 () (tptp.inverse tptp.sk_c1)) % 16.04/16.36 (define @t33 () (= @t32 tptp.sk_c11)) % 16.04/16.36 (define @t34 () (or @t33 @t10)) % 16.04/16.36 (define @t35 () (or @t33 @t15)) % 16.04/16.36 (define @t36 () (or @t33 @t18)) % 16.04/16.36 (define @t37 () (or @t33 @t21)) % 16.04/16.36 (define @t38 () (or @t33 @t24)) % 16.04/16.36 (define @t39 () (or @t33 @t27)) % 16.04/16.36 (define @t40 () (tptp.multiply tptp.sk_c2 tptp.sk_c10)) % 16.04/16.36 (define @t41 () (= @t40 tptp.sk_c9)) % 16.04/16.36 (define @t42 () (or @t41 @t18)) % 16.04/16.36 (define @t43 () (or @t41 @t21)) % 16.04/16.36 (define @t44 () (or @t41 @t24)) % 16.04/16.36 (define @t45 () (or @t41 @t27)) % 16.04/16.36 (define @t46 () (tptp.inverse tptp.sk_c2)) % 16.04/16.36 (define @t47 () (= @t46 tptp.sk_c10)) % 16.04/16.36 (define @t48 () (or @t47 @t18)) % 16.04/16.36 (define @t49 () (or @t47 @t21)) % 16.04/16.36 (define @t50 () (or @t47 @t24)) % 16.04/16.36 (define @t51 () (or @t47 @t27)) % 16.04/16.36 (define @t52 () (tptp.inverse tptp.sk_c3)) % 16.04/16.36 (define @t53 () (= @t52 tptp.sk_c11)) % 16.04/16.36 (define @t54 () (or @t53 @t24)) % 16.04/16.36 (define @t55 () (or @t53 @t27)) % 16.04/16.36 (define @t56 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 16.04/16.36 (define @t57 () (= @t56 tptp.sk_c11)) % 16.04/16.36 (define @t58 () (or @t57 @t24)) % 16.04/16.36 (define @t59 () (or @t57 @t27)) % 16.04/16.36 (define @t60 () (@var "X8" $$unsorted)) % 16.04/16.36 (define @t61 () (tptp.multiply @t60 tptp.sk_c9)) % 16.04/16.36 (define @t62 () (not (= @t61 tptp.sk_c10))) % 16.04/16.36 (define @t63 () (@var "X7" $$unsorted)) % 16.04/16.36 (define @t64 () (tptp.inverse @t63)) % 16.04/16.36 (define @t65 () (not (= @t64 @t60))) % 16.04/16.36 (define @t66 () (tptp.multiply @t63 @t60)) % 16.04/16.36 (define @t67 () (not (= @t66 tptp.sk_c10))) % 16.04/16.36 (define @t68 () (@var "X3" $$unsorted)) % 16.04/16.36 (define @t69 () (tptp.multiply @t68 tptp.sk_c10)) % 16.04/16.36 (define @t70 () (not (= @t69 tptp.sk_c11))) % 16.04/16.36 (define @t71 () (tptp.inverse @t68)) % 16.04/16.36 (define @t72 () (not (= @t71 tptp.sk_c11))) % 16.04/16.36 (define @t73 () (@var "X2" $$unsorted)) % 16.04/16.36 (define @t74 () (tptp.inverse @t73)) % 16.04/16.36 (define @t75 () (not (= @t74 tptp.sk_c10))) % 16.04/16.36 (define @t76 () (tptp.multiply @t73 tptp.sk_c10)) % 16.04/16.36 (define @t77 () (not (= @t76 tptp.sk_c9))) % 16.04/16.36 (define @t78 () (@var "X1" $$unsorted)) % 16.04/16.36 (define @t79 () (tptp.inverse @t78)) % 16.04/16.36 (define @t80 () (not (= @t79 tptp.sk_c11))) % 16.04/16.36 (define @t81 () (tptp.multiply @t78 tptp.sk_c11)) % 16.04/16.36 (define @t82 () (not (= @t81 tptp.sk_c10))) % 16.04/16.36 (define @t83 () (@var "X6" $$unsorted)) % 16.04/16.36 (define @t84 () (tptp.multiply @t83 tptp.sk_c9)) % 16.04/16.36 (define @t85 () (not (= @t84 tptp.sk_c11))) % 16.04/16.36 (define @t86 () (tptp.inverse @t83)) % 16.04/16.36 (define @t87 () (not (= @t86 tptp.sk_c11))) % 16.04/16.36 (define @t88 () (@var "X5" $$unsorted)) % 16.04/16.36 (define @t89 () (tptp.inverse @t88)) % 16.04/16.36 (define @t90 () (not (= @t89 tptp.sk_c10))) % 16.04/16.36 (define @t91 () (tptp.multiply @t88 tptp.sk_c10)) % 16.04/16.36 (define @t92 () (not (= @t91 tptp.sk_c9))) % 16.04/16.36 (define @t93 () (@var "X4" $$unsorted)) % 16.04/16.36 (define @t94 () (tptp.inverse @t93)) % 16.04/16.36 (define @t95 () (not (= @t94 tptp.sk_c11))) % 16.04/16.36 (define @t96 () (tptp.multiply @t93 tptp.sk_c11)) % 16.04/16.36 (define @t97 () (not (= @t96 tptp.sk_c10))) % 16.04/16.36 (define @t98 () (or @t97 @t95 @t92 @t90 @t87 @t85 @t82 @t80 @t77 @t75 @t72 @t70 @t67 @t65 @t62)) % 16.04/16.36 (define @t99 () (@list @t93 @t88 @t83 @t78 @t73 @t68 @t63 @t60)) % 16.04/16.36 (define @t100 () (forall @t99 @t98)) % 16.04/16.36 (define @t101 () (= tptp.sk_c11 @t32)) % 16.04/16.36 (define @t102 () (= tptp.sk_c10 @t9)) % 16.04/16.36 (define @t103 () (= tptp.sk_c11 @t14)) % 16.04/16.36 (define @t104 () (= tptp.sk_c9 @t17)) % 16.04/16.36 (define @t105 () (= tptp.sk_c10 @t20)) % 16.04/16.36 (define @t106 () (= tptp.sk_c11 @t23)) % 16.04/16.36 (define @t107 () (= tptp.sk_c11 @t26)) % 16.04/16.36 (define @t108 () (not @t105)) % 16.04/16.36 (define @t109 () (not @t104)) % 16.04/16.36 (define @t110 () (or @t109 @t108)) % 16.04/16.36 (define @t111 () (not @t110)) % 16.04/16.36 (define @t112 () (not @t107)) % 16.04/16.36 (define @t113 () (not @t106)) % 16.04/16.36 (define @t114 () (or @t113 @t112)) % 16.04/16.36 (define @t115 () (not @t114)) % 16.04/16.36 (define @t116 () (not (= tptp.sk_c10 @t89))) % 16.04/16.36 (define @t117 () (not (= tptp.sk_c9 @t91))) % 16.04/16.36 (define @t118 () (or @t117 @t116)) % 16.04/16.36 (define @t119 () (forall (@list @t88) @t118)) % 16.04/16.36 (define @t120 () (@list tptp.sk_c5)) % 16.04/16.36 (define @t121 () (not (= tptp.sk_c11 @t69))) % 16.04/16.36 (define @t122 () (not (= tptp.sk_c11 @t71))) % 16.04/16.36 (define @t123 () (or @t122 @t121)) % 16.04/16.36 (define @t124 () (forall (@list @t68) @t123)) % 16.04/16.36 (define @t125 () (@list tptp.sk_c6)) % 16.04/16.36 (define @t126 () (@quantifiers_skolemize @t119 0)) % 16.04/16.36 (define @t127 () (tptp.inverse @t126)) % 16.04/16.36 (define @t128 () (= tptp.sk_c10 @t127)) % 16.04/16.36 (define @t129 () (not @t128)) % 16.04/16.36 (define @t130 () (= tptp.sk_c9 (tptp.multiply @t126 tptp.sk_c10))) % 16.04/16.36 (define @t131 () (not @t130)) % 16.04/16.36 (define @t132 () (or @t131 @t129)) % 16.04/16.36 (define @t133 () (not @t132)) % 16.04/16.36 (define @t134 () (not @t119)) % 16.04/16.36 (define @t135 () (not @t103)) % 16.04/16.36 (define @t136 () (not @t102)) % 16.04/16.36 (define @t137 () (or @t136 @t135)) % 16.04/16.36 (define @t138 () (not @t137)) % 16.04/16.36 (define @t139 () (not (= tptp.sk_c11 @t94))) % 16.04/16.36 (define @t140 () (not (= tptp.sk_c10 @t96))) % 16.04/16.36 (define @t141 () (or @t140 @t139)) % 16.04/16.36 (define @t142 () (forall (@list @t93) @t141)) % 16.04/16.36 (define @t143 () (@quantifiers_skolemize @t142 0)) % 16.04/16.36 (define @t144 () (tptp.inverse @t143)) % 16.04/16.36 (define @t145 () (= tptp.sk_c11 @t144)) % 16.04/16.36 (define @t146 () (not @t145)) % 16.04/16.36 (define @t147 () (= tptp.sk_c10 (tptp.multiply @t143 tptp.sk_c11))) % 16.04/16.36 (define @t148 () (not @t147)) % 16.04/16.36 (define @t149 () (or @t148 @t146)) % 16.04/16.36 (define @t150 () (not @t149)) % 16.04/16.36 (define @t151 () (not @t142)) % 16.04/16.36 (define @t152 () (@list tptp.sk_c11)) % 16.04/16.36 (define @t153 () (@list @t143)) % 16.04/16.36 (define @t154 () (@list @t126)) % 16.04/16.36 (define @t155 () (tptp.inverse tptp.sk_c11)) % 16.04/16.36 (define @t156 () (tptp.multiply tptp.identity tptp.identity)) % 16.04/16.36 (define @t157 () (= tptp.identity @t156)) % 16.04/16.36 (define @t158 () (tptp.multiply tptp.identity tptp.sk_c11)) % 16.04/16.36 (define @t159 () (= tptp.sk_c11 @t158)) % 16.04/16.36 (define @t160 () (tptp.multiply @t155 tptp.sk_c11)) % 16.04/16.36 (define @t161 () (= tptp.identity @t160)) % 16.04/16.36 (define @t162 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.04/16.36 (define @t163 () (= tptp.sk_c9 @t162)) % 16.04/16.36 (define @t164 () (tptp.multiply tptp.identity @t143)) % 16.04/16.36 (define @t165 () (= @t143 @t164)) % 16.04/16.36 (define @t166 () (tptp.multiply @t144 @t143)) % 16.04/16.36 (define @t167 () (= tptp.identity @t166)) % 16.04/16.36 (define @t168 () (tptp.multiply tptp.identity @t126)) % 16.04/16.36 (define @t169 () (= @t126 @t168)) % 16.04/16.36 (define @t170 () (tptp.multiply @t127 @t126)) % 16.04/16.36 (define @t171 () (= tptp.identity @t170)) % 16.04/16.36 (define @t172 () (tptp.multiply @t160 @t143)) % 16.04/16.36 (define @t173 () (= @t172 (tptp.multiply @t155 (tptp.multiply tptp.sk_c11 @t143)))) % 16.04/16.36 (define @t174 () (tptp.multiply @t155 tptp.identity)) % 16.04/16.36 (define @t175 () (tptp.multiply @t174 tptp.sk_c11)) % 16.04/16.36 (define @t176 () (= @t175 (tptp.multiply @t155 @t158))) % 16.04/16.36 (define @t177 () (tptp.multiply @t156 @t143)) % 16.04/16.36 (define @t178 () (tptp.multiply tptp.identity @t164)) % 16.04/16.36 (define @t179 () (tptp.multiply @t156 @t126)) % 16.04/16.36 (define @t180 () (tptp.multiply tptp.identity @t168)) % 16.04/16.36 (define @t181 () (= tptp.sk_c10 (tptp.multiply @t20 tptp.sk_c9))) % 16.04/16.36 (define @t182 () (and @t105 @t147 @t145 @t130 @t128 @t157 @t159 @t161 @t163 @t165 @t167 @t169 @t171 @t173 @t176)) % 16.04/16.36 (define @t183 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c5 @t20))) % 16.04/16.36 (define @t184 () (and @t104 @t105 @t147 @t145 @t130 @t128 @t157 @t159 @t161 @t165 @t167 @t169 @t171 @t173 @t176)) % 16.04/16.36 (define @t185 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) % 16.04/16.36 (define @t186 () (and @t107 @t147 @t145 @t130 @t128 @t157 @t159 @t161 @t165 @t167 @t169 @t171 @t173 @t176)) % 16.04/16.36 (define @t187 () (not @t181)) % 16.04/16.36 (define @t188 () (not @t183)) % 16.04/16.36 (define @t189 () (or @t188 @t187)) % 16.04/16.36 (define @t190 () (not @t189)) % 16.04/16.36 (define @t191 () (not @t185)) % 16.04/16.36 (define @t192 () (or @t113 @t191)) % 16.04/16.36 (define @t193 () (not @t192)) % 16.04/16.36 (define @t194 () (not (= tptp.sk_c10 (tptp.multiply @t64 tptp.sk_c9)))) % 16.04/16.36 (define @t195 () (not (= tptp.sk_c10 (tptp.multiply @t63 @t64)))) % 16.04/16.36 (define @t196 () (or @t195 @t194)) % 16.04/16.36 (define @t197 () (@list @t63)) % 16.04/16.36 (define @t198 () (forall @t197 @t196)) % 16.04/16.36 (define @t199 () (not (= tptp.sk_c11 @t84))) % 16.04/16.36 (define @t200 () (not (= tptp.sk_c11 @t86))) % 16.04/16.36 (define @t201 () (or @t200 @t199)) % 16.04/16.36 (define @t202 () (forall (@list @t83) @t201)) % 16.04/16.36 (define @t203 () (not (= @t64 @t64))) % 16.04/16.36 (define @t204 () (or @t195 @t203 @t194)) % 16.04/16.36 (define @t205 () (not (= tptp.sk_c10 @t61))) % 16.04/16.36 (define @t206 () (not (= @t60 @t64))) % 16.04/16.36 (define @t207 () (not (= tptp.sk_c10 @t66))) % 16.04/16.36 (define @t208 () (or @t206 @t207 @t206 @t205)) % 16.04/16.36 (define @t209 () (@list @t60)) % 16.04/16.36 (define @t210 () (or @t207 @t206 @t205)) % 16.04/16.36 (define @t211 () (forall @t209 @t210)) % 16.04/16.36 (define @t212 () (forall @t197 @t211)) % 16.04/16.36 (define @t213 () (forall (@list @t63 @t60) @t210)) % 16.04/16.36 (define @t214 () (not (= tptp.sk_c10 @t74))) % 16.04/16.36 (define @t215 () (not (= tptp.sk_c9 @t76))) % 16.04/16.36 (define @t216 () (or @t215 @t214)) % 16.04/16.36 (define @t217 () (forall (@list @t73) @t216)) % 16.04/16.36 (define @t218 () (not (= tptp.sk_c11 @t79))) % 16.04/16.36 (define @t219 () (not (= tptp.sk_c10 @t81))) % 16.04/16.36 (define @t220 () (or @t219 @t218)) % 16.04/16.36 (define @t221 () (forall (@list @t78) @t220)) % 16.04/16.36 (define @t222 () (or @t142 @t119 @t202 @t221 @t217 @t124 @t213)) % 16.04/16.36 (define @t223 () (or @t141 @t118 @t201 @t220 @t216 @t123 @t210)) % 16.04/16.36 (define @t224 () (or @t140 @t139 @t117 @t116 @t200 @t199 @t219 @t218 @t215 @t214 @t122 @t121 @t207 @t206 @t205)) % 16.04/16.36 (define @t225 () (not @t101)) % 16.04/16.36 (define @t226 () (= tptp.sk_c10 @t11)) % 16.04/16.36 (define @t227 () (not @t226)) % 16.04/16.36 (define @t228 () (or @t227 @t225)) % 16.04/16.36 (define @t229 () (@list tptp.sk_c1)) % 16.04/16.36 (define @t230 () (= tptp.sk_c10 @t46)) % 16.04/16.36 (define @t231 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.04/16.36 (define @t232 () (= tptp.sk_c1 @t231)) % 16.04/16.36 (define @t233 () (tptp.multiply @t32 tptp.sk_c1)) % 16.04/16.36 (define @t234 () (= tptp.identity @t233)) % 16.04/16.36 (define @t235 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.04/16.36 (define @t236 () (= tptp.sk_c5 @t235)) % 16.04/16.36 (define @t237 () (tptp.multiply @t20 tptp.sk_c5)) % 16.04/16.36 (define @t238 () (= tptp.identity @t237)) % 16.04/16.36 (define @t239 () (tptp.multiply @t160 tptp.sk_c1)) % 16.04/16.36 (define @t240 () (= @t239 (tptp.multiply @t155 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) % 16.04/16.36 (define @t241 () (tptp.multiply @t156 tptp.sk_c1)) % 16.04/16.36 (define @t242 () (tptp.multiply tptp.identity @t231)) % 16.04/16.36 (define @t243 () (tptp.multiply @t156 tptp.sk_c5)) % 16.04/16.36 (define @t244 () (tptp.multiply tptp.identity @t235)) % 16.04/16.36 (define @t245 () (and @t226 @t104 @t105 @t107 @t101 @t157 @t232 @t234 @t159 @t161 @t236 @t238 @t240 @t176)) % 16.04/16.36 (define @t246 () (and @t226 @t104 @t105 @t101 @t157 @t232 @t234 @t159 @t161 @t236 @t238 @t240 @t176)) % 16.04/16.36 (define @t247 () (and @t226 @t105 @t101 @t157 @t232 @t234 @t159 @t161 @t236 @t238 @t240 @t176)) % 16.04/16.36 (define @t248 () (not @t230)) % 16.04/16.36 (define @t249 () (= tptp.sk_c9 @t40)) % 16.04/16.36 (define @t250 () (not @t249)) % 16.04/16.36 (define @t251 () (or @t250 @t248)) % 16.04/16.36 (define @t252 () (@list tptp.sk_c2)) % 16.04/16.36 (define @t253 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.04/16.36 (define @t254 () (= tptp.sk_c2 @t253)) % 16.04/16.36 (define @t255 () (tptp.multiply @t46 tptp.sk_c2)) % 16.04/16.36 (define @t256 () (= tptp.identity @t255)) % 16.04/16.36 (define @t257 () (tptp.multiply @t156 tptp.sk_c2)) % 16.04/16.36 (define @t258 () (tptp.multiply tptp.identity @t253)) % 16.04/16.36 (define @t259 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 @t46))) % 16.04/16.36 (define @t260 () (and @t226 @t101 @t230 @t157 @t232 @t234 @t159 @t161 @t254 @t256 @t240 @t176)) % 16.04/16.36 (define @t261 () (= tptp.sk_c10 (tptp.multiply @t46 tptp.sk_c9))) % 16.04/16.36 (define @t262 () (and @t226 @t101 @t249 @t230 @t157 @t232 @t234 @t159 @t161 @t254 @t256 @t240 @t176)) % 16.04/16.36 (define @t263 () (not @t261)) % 16.04/16.36 (define @t264 () (not @t259)) % 16.04/16.36 (define @t265 () (or @t264 @t263)) % 16.04/16.36 (define @t266 () (not @t198)) % 16.04/16.36 (define @t267 () (= tptp.sk_c11 @t56)) % 16.04/16.36 (define @t268 () (and @t226 @t107 @t101 @t249 @t230 @t157 @t232 @t234 @t159 @t161 @t254 @t256 @t240 @t176)) % 16.04/16.36 (define @t269 () (not @t267)) % 16.04/16.36 (define @t270 () (= tptp.sk_c11 @t52)) % 16.04/16.36 (define @t271 () (not @t270)) % 16.04/16.36 (define @t272 () (or @t271 @t269)) % 16.04/16.36 (define @t273 () (@list tptp.sk_c3)) % 16.04/16.36 (define @t274 () (= tptp.sk_c11 (tptp.multiply @t143 tptp.sk_c10))) % 16.04/16.36 (define @t275 () (not @t274)) % 16.04/16.36 (define @t276 () (or @t146 @t275)) % 16.04/16.36 (define @t277 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.04/16.36 (define @t278 () (= tptp.sk_c3 @t277)) % 16.04/16.36 (define @t279 () (= tptp.identity (tptp.multiply @t52 tptp.sk_c3))) % 16.04/16.36 (define @t280 () (tptp.multiply tptp.sk_c11 tptp.sk_c3)) % 16.04/16.36 (define @t281 () (tptp.multiply @t155 @t280)) % 16.04/16.36 (define @t282 () (= (tptp.multiply @t160 tptp.sk_c3) @t281)) % 16.04/16.36 (define @t283 () (and @t226 @t101 @t249 @t230 @t270 @t267 @t145 @t157 @t232 @t234 @t159 @t161 @t254 @t256 @t278 @t279 @t165 @t167 @t240 @t282 @t173 @t176)) % 16.04/16.36 (define @t284 () (@list true)) % 16.04/16.36 (define @t285 () (@list @t226)) % 16.04/16.36 (define @t286 () (@list false false)) % 16.04/16.36 (define @t287 () (@list @t142)) % 16.04/16.36 (define @t288 () (@list @t119)) % 16.04/16.36 (define @t289 () (@list @t132)) % 16.04/16.36 (define @t290 () (@list @t149)) % 16.04/16.36 (define @t291 () (@list false false false false false false false false false false false false false false false)) % 16.04/16.36 (assume @p1 @t4) % 16.04/16.36 (assume @p2 @t6) % 16.04/16.36 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.04/16.36 (assume @p4 @t13) % 16.04/16.36 (assume @p5 @t16) % 16.04/16.36 (assume @p6 @t19) % 16.04/16.36 (assume @p7 @t22) % 16.04/16.36 (assume @p8 @t25) % 16.04/16.36 (assume @p9 @t28) % 16.04/16.36 (assume @p10 (or @t12 @t29)) % 16.04/16.36 (assume @p11 (or @t12 @t30)) % 16.04/16.36 (assume @p12 (or @t12 @t31)) % 16.04/16.36 (assume @p13 @t34) % 16.04/16.36 (assume @p14 @t35) % 16.04/16.36 (assume @p15 @t36) % 16.04/16.36 (assume @p16 @t37) % 16.04/16.36 (assume @p17 @t38) % 16.04/16.36 (assume @p18 @t39) % 16.04/16.36 (assume @p19 (or @t33 @t29)) % 16.04/16.36 (assume @p20 (or @t33 @t30)) % 16.04/16.36 (assume @p21 (or @t33 @t31)) % 16.04/16.36 (assume @p22 (or @t41 @t10)) % 16.04/16.36 (assume @p23 (or @t41 @t15)) % 16.04/16.36 (assume @p24 @t42) % 16.04/16.36 (assume @p25 @t43) % 16.04/16.36 (assume @p26 @t44) % 16.04/16.36 (assume @p27 @t45) % 16.04/16.36 (assume @p28 (or @t41 @t29)) % 16.04/16.36 (assume @p29 (or @t41 @t30)) % 16.04/16.36 (assume @p30 (or @t41 @t31)) % 16.04/16.36 (assume @p31 (or @t47 @t10)) % 16.04/16.36 (assume @p32 (or @t47 @t15)) % 16.04/16.36 (assume @p33 @t48) % 16.04/16.36 (assume @p34 @t49) % 16.04/16.36 (assume @p35 @t50) % 16.04/16.36 (assume @p36 @t51) % 16.04/16.36 (assume @p37 (or @t47 @t29)) % 16.04/16.36 (assume @p38 (or @t47 @t30)) % 16.04/16.36 (assume @p39 (or @t47 @t31)) % 16.04/16.36 (assume @p40 (or @t53 @t10)) % 16.04/16.36 (assume @p41 (or @t53 @t15)) % 16.04/16.36 (assume @p42 (or @t53 @t18)) % 16.04/16.36 (assume @p43 (or @t53 @t21)) % 16.04/16.36 (assume @p44 @t54) % 16.04/16.36 (assume @p45 @t55) % 16.04/16.36 (assume @p46 (or @t53 @t29)) % 16.04/16.36 (assume @p47 (or @t53 @t30)) % 16.04/16.36 (assume @p48 (or @t53 @t31)) % 16.04/16.36 (assume @p49 (or @t57 @t10)) % 16.04/16.36 (assume @p50 (or @t57 @t15)) % 16.04/16.36 (assume @p51 (or @t57 @t18)) % 16.04/16.36 (assume @p52 (or @t57 @t21)) % 16.04/16.36 (assume @p53 @t58) % 16.04/16.36 (assume @p54 @t59) % 16.04/16.36 (assume @p55 (or @t57 @t29)) % 16.04/16.36 (assume @p56 (or @t57 @t30)) % 16.04/16.36 (assume @p57 (or @t57 @t31)) % 16.04/16.36 (assume @p58 @t100) % 16.04/16.36 (step @p59 :rule eq-symm :args (@t9 tptp.sk_c10)) % 16.04/16.36 (step @p60 :rule eq-symm :args (@t32 tptp.sk_c11)) % 16.04/16.36 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t34)) % 16.04/16.36 (step @p62 :rule eq_resolve :premises (@p13 @p61)) % 16.04/16.36 (step @p63 :rule reordering :premises (@p62) :args ((or @t102 @t101))) % 16.04/16.36 (step @p64 :rule eq-symm :args (@t14 tptp.sk_c11)) % 16.04/16.36 (step @p65 :rule nary_cong :premises (@p60 @p64) :args (@t35)) % 16.04/16.36 (step @p66 :rule eq_resolve :premises (@p14 @p65)) % 16.04/16.36 (step @p67 :rule reordering :premises (@p66) :args ((or @t103 @t101))) % 16.04/16.36 (step @p68 :rule eq-symm :args (@t17 tptp.sk_c9)) % 16.04/16.36 (step @p69 :rule nary_cong :premises (@p60 @p68) :args (@t36)) % 16.04/16.36 (step @p70 :rule eq_resolve :premises (@p15 @p69)) % 16.04/16.36 (step @p71 :rule reordering :premises (@p70) :args ((or @t104 @t101))) % 16.04/16.36 (step @p72 :rule eq-symm :args (@t20 tptp.sk_c10)) % 16.04/16.36 (step @p73 :rule nary_cong :premises (@p60 @p72) :args (@t37)) % 16.04/16.36 (step @p74 :rule eq_resolve :premises (@p16 @p73)) % 16.04/16.36 (step @p75 :rule reordering :premises (@p74) :args ((or @t105 @t101))) % 16.04/16.36 (step @p76 :rule eq-symm :args (@t23 tptp.sk_c11)) % 16.04/16.36 (step @p77 :rule nary_cong :premises (@p60 @p76) :args (@t38)) % 16.04/16.36 (step @p78 :rule eq_resolve :premises (@p17 @p77)) % 16.04/16.36 (step @p79 :rule reordering :premises (@p78) :args ((or @t106 @t101))) % 16.04/16.36 (step @p80 :rule eq-symm :args (@t26 tptp.sk_c11)) % 16.04/16.36 (step @p81 :rule nary_cong :premises (@p60 @p80) :args (@t39)) % 16.04/16.36 (step @p82 :rule eq_resolve :premises (@p18 @p81)) % 16.04/16.36 (step @p83 :rule reordering :premises (@p82) :args ((or @t107 @t101))) % 16.04/16.36 (step @p84 :rule cnf_or_pos :args (@t110)) % 16.04/16.36 (step @p85 :rule reordering :premises (@p84) :args ((or @t109 @t108 @t111))) % 16.04/16.36 (step @p86 :rule cnf_or_pos :args (@t114)) % 16.04/16.36 (step @p87 :rule reordering :premises (@p86) :args ((or @t113 @t112 @t115))) % 16.04/16.36 (assume-push @p1257 @t119) % 16.04/16.36 (step @p89 :rule instantiate :premises (@p1257) :args (@t120)) % 16.04/16.36 (step-pop @p1258 :rule scope :premises (@p89)) % 16.04/16.36 (step @p90 :rule process_scope :premises (@p1258) :args (@t110)) % 16.04/16.36 (step @p92 :rule implies_elim :premises (@p90)) % 16.04/16.36 (assume-push @p1259 @t124) % 16.04/16.36 (step @p94 :rule instantiate :premises (@p1259) :args (@t125)) % 16.04/16.36 (step-pop @p1260 :rule scope :premises (@p94)) % 16.04/16.36 (step @p95 :rule process_scope :premises (@p1260) :args (@t114)) % 16.04/16.36 (step @p97 :rule implies_elim :premises (@p95)) % 16.04/16.36 (step @p98 :rule alpha_equiv :args (@t119 (@list @t88) (@list @t73))) % 16.04/16.36 (step @p99 :rule equiv_elim2 :premises (@p98)) % 16.04/16.36 (step @p100 :rule refl :args (@t133)) % 16.04/16.36 (step @p101 :rule bool-double-not-elim :args (@t119)) % 16.04/16.36 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t134) @t133))) % 16.04/16.36 (assume-push @p1261 @t134) % 16.04/16.36 (step @p104 :rule skolemize :premises (@p1261)) % 16.04/16.36 (step-pop @p1262 :rule scope :premises (@p104)) % 16.04/16.36 (step @p105 :rule process_scope :premises (@p1262) :args (@t133)) % 16.04/16.36 (step @p107 :rule implies_elim :premises (@p105)) % 16.04/16.36 (step @p108 :rule eq_resolve :premises (@p107 @p102)) % 16.04/16.36 (step @p109 :rule bool-double-not-elim :args (@t130)) % 16.04/16.36 (step @p110 :rule refl :args (@t132)) % 16.04/16.36 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t132 (not @t131)))) % 16.04/16.36 (step @p112 :rule cnf_or_neg :args (@t132 0)) % 16.04/16.36 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 16.04/16.36 (step @p114 :rule reordering :premises (@p113) :args ((or @t130 @t132))) % 16.04/16.36 (step @p115 :rule bool-double-not-elim :args (@t128)) % 16.04/16.36 (step @p116 :rule nary_cong :premises (@p110 @p115) :args ((or @t132 (not @t129)))) % 16.04/16.36 (step @p117 :rule cnf_or_neg :args (@t132 1)) % 16.04/16.36 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 16.04/16.36 (step @p119 :rule reordering :premises (@p118) :args ((or @t128 @t132))) % 16.04/16.36 (step @p120 :rule cnf_or_pos :args (@t137)) % 16.04/16.36 (step @p121 :rule reordering :premises (@p120) :args ((or @t136 @t135 @t138))) % 16.04/16.36 (assume-push @p1263 @t142) % 16.04/16.36 (step @p123 :rule instantiate :premises (@p1263) :args ((@list tptp.sk_c4))) % 16.04/16.36 (step-pop @p1264 :rule scope :premises (@p123)) % 16.04/16.36 (step @p124 :rule process_scope :premises (@p1264) :args (@t137)) % 16.04/16.36 (step @p126 :rule implies_elim :premises (@p124)) % 16.04/16.36 (step @p127 :rule alpha_equiv :args (@t142 (@list @t93) (@list @t78))) % 16.04/16.36 (step @p128 :rule equiv_elim2 :premises (@p127)) % 16.04/16.36 (step @p129 :rule refl :args (@t150)) % 16.04/16.36 (step @p130 :rule bool-double-not-elim :args (@t142)) % 16.04/16.36 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t151) @t150))) % 16.04/16.36 (assume-push @p1265 @t151) % 16.04/16.36 (step @p133 :rule skolemize :premises (@p1265)) % 16.04/16.36 (step-pop @p1266 :rule scope :premises (@p133)) % 16.04/16.36 (step @p134 :rule process_scope :premises (@p1266) :args (@t150)) % 16.04/16.36 (step @p136 :rule implies_elim :premises (@p134)) % 16.04/16.36 (step @p137 :rule eq_resolve :premises (@p136 @p131)) % 16.04/16.36 (step @p138 :rule bool-double-not-elim :args (@t147)) % 16.04/16.36 (step @p139 :rule refl :args (@t149)) % 16.04/16.36 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t149 (not @t148)))) % 16.04/16.36 (step @p141 :rule cnf_or_neg :args (@t149 0)) % 16.04/16.36 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 16.04/16.36 (step @p143 :rule reordering :premises (@p142) :args ((or @t147 @t149))) % 16.04/16.36 (step @p144 :rule bool-double-not-elim :args (@t145)) % 16.04/16.36 (step @p145 :rule nary_cong :premises (@p139 @p144) :args ((or @t149 (not @t146)))) % 16.04/16.36 (step @p146 :rule cnf_or_neg :args (@t149 1)) % 16.04/16.36 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 16.04/16.36 (step @p148 :rule reordering :premises (@p147) :args ((or @t145 @t149))) % 16.04/16.36 (step @p149 :rule eq-symm :args (@t2 @t1)) % 16.04/16.36 (step @p150 :rule cong :premises (@p149) :args (@t4)) % 16.04/16.36 (step @p151 :rule eq_resolve :premises (@p1 @p150)) % 16.04/16.36 (step @p152 :rule instantiate :premises (@p151) :args ((@list tptp.identity))) % 16.04/16.36 (step @p153 :rule instantiate :premises (@p151) :args (@t152)) % 16.04/16.36 (step @p154 :rule eq-symm :args (@t5 tptp.identity)) % 16.04/16.36 (step @p155 :rule cong :premises (@p154) :args (@t6)) % 16.04/16.36 (step @p156 :rule eq_resolve :premises (@p2 @p155)) % 16.04/16.36 (step @p157 :rule instantiate :premises (@p156) :args (@t152)) % 16.04/16.36 (step @p158 :rule instantiate :premises (@p151) :args ((@list tptp.sk_c9))) % 16.04/16.36 (step @p159 :rule instantiate :premises (@p151) :args (@t153)) % 16.04/16.36 (step @p160 :rule instantiate :premises (@p156) :args (@t153)) % 16.04/16.36 (step @p161 :rule instantiate :premises (@p151) :args (@t154)) % 16.04/16.36 (step @p162 :rule instantiate :premises (@p156) :args (@t154)) % 16.04/16.36 (step @p163 :rule instantiate :premises (@p3) :args ((@list @t155 tptp.sk_c11 @t143))) % 16.04/16.36 (step @p164 :rule instantiate :premises (@p3) :args ((@list @t155 tptp.identity tptp.sk_c11))) % 16.04/16.36 (assume-push @p1267 @t105) % 16.04/16.36 (assume-push @p1268 @t147) % 16.04/16.36 (assume-push @p1269 @t145) % 16.04/16.36 (assume-push @p1270 @t130) % 16.04/16.36 (assume-push @p1271 @t128) % 16.04/16.36 (assume-push @p1272 @t157) % 16.04/16.36 (assume-push @p1273 @t159) % 16.04/16.36 (assume-push @p1274 @t161) % 16.04/16.36 (assume-push @p1275 @t163) % 16.04/16.36 (assume-push @p1276 @t165) % 16.04/16.36 (assume-push @p1277 @t167) % 16.04/16.36 (assume-push @p1278 @t169) % 16.04/16.36 (assume-push @p1279 @t171) % 16.04/16.36 (assume-push @p1280 @t173) % 16.04/16.36 (assume-push @p1281 @t176) % 16.04/16.36 (assume-push @p1282 @t105) % 16.04/16.36 (assume-push @p1283 @t128) % 16.04/16.36 (assume-push @p1284 @t147) % 16.04/16.36 (assume-push @p1285 @t165) % 16.04/16.36 (assume-push @p1286 @t157) % 16.04/16.36 (assume-push @p1287 @t161) % 16.04/16.36 (assume-push @p1288 @t173) % 16.04/16.36 (assume-push @p1289 @t145) % 16.04/16.36 (assume-push @p1290 @t167) % 16.04/16.36 (assume-push @p1291 @t176) % 16.04/16.36 (assume-push @p1292 @t159) % 16.04/16.36 (assume-push @p1293 @t163) % 16.04/16.36 (assume-push @p1294 @t130) % 16.04/16.36 (assume-push @p1295 @t169) % 16.04/16.36 (assume-push @p1296 @t171) % 16.04/16.36 (step @p195 :rule symm :premises (@p158)) % 16.04/16.36 (step @p196 :rule symm :premises (@p1271)) % 16.04/16.36 (step @p197 :rule symm :premises (@p1268)) % 16.04/16.36 (step @p198 :rule refl :args (tptp.sk_c11)) % 16.04/16.36 (step @p199 :rule symm :premises (@p159)) % 16.04/16.36 (step @p200 :rule refl :args (@t143)) % 16.04/16.36 (step @p201 :rule symm :premises (@p152)) % 16.04/16.36 (step @p202 :rule cong :premises (@p201 @p200) :args (@t177)) % 16.04/16.36 (step @p203 :rule cong :premises (@p152 @p199) :args (@t178)) % 16.04/16.36 (step @p204 :rule symm :premises (@p157)) % 16.04/16.36 (step @p205 :rule cong :premises (@p204 @p159) :args (@t172)) % 16.04/16.36 (step @p206 :rule symm :premises (@p163)) % 16.04/16.36 (step @p207 :rule symm :premises (@p1269)) % 16.04/16.36 (step @p208 :rule cong :premises (@p207 @p200) 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(@p1651)) % 16.04/16.37 (step-pop @p1653 :rule scope :premises (@p1652)) % 16.04/16.37 (step-pop @p1654 :rule scope :premises (@p1653)) % 16.04/16.37 (step @p848 :rule process_scope :premises (@p1654) :args (@t259)) % 16.04/16.37 (step @p861 :rule implies_elim :premises (@p848)) % 16.04/16.37 (step @p862 :rule cnf_and_neg :args (@t260)) % 16.04/16.37 (step @p863 :rule resolution :premises (@p862 @p861) :args (true @t260)) % 16.04/16.37 (assume-push @p1655 @t226) % 16.04/16.37 (assume-push @p1656 @t101) % 16.04/16.37 (assume-push @p1657 @t249) % 16.04/16.37 (assume-push @p1658 @t230) % 16.04/16.37 (assume-push @p1659 @t157) % 16.04/16.37 (assume-push @p1660 @t232) % 16.04/16.37 (assume-push @p1661 @t234) % 16.04/16.37 (assume-push @p1662 @t159) % 16.04/16.37 (assume-push @p1663 @t161) % 16.04/16.37 (assume-push @p1664 @t254) % 16.04/16.37 (assume-push @p1665 @t256) % 16.04/16.37 (assume-push @p1666 @t240) % 16.04/16.37 (assume-push @p1667 @t176) % 16.04/16.37 (assume-push @p1668 @t230) % 16.04/16.37 (assume-push @p1669 @t226) % 16.04/16.37 (assume-push @p1670 @t232) % 16.04/16.37 (assume-push @p1671 @t157) % 16.04/16.37 (assume-push @p1672 @t161) % 16.04/16.37 (assume-push @p1673 @t240) % 16.04/16.37 (assume-push @p1674 @t101) % 16.04/16.37 (assume-push @p1675 @t234) % 16.04/16.37 (assume-push @p1676 @t176) % 16.04/16.37 (assume-push @p1677 @t159) % 16.04/16.37 (assume-push @p1678 @t249) % 16.04/16.37 (assume-push @p1679 @t254) % 16.04/16.37 (assume-push @p1680 @t256) % 16.04/16.37 (step @p890 :rule symm :premises (@p1657)) % 16.04/16.37 (step @p891 :rule symm :premises (@p1655)) % 16.04/16.37 (step @p198 :rule refl :args (tptp.sk_c11)) % 16.04/16.37 (step @p574 :rule symm :premises (@p539)) % 16.04/16.37 (step @p575 :rule refl :args (tptp.sk_c1)) % 16.04/16.37 (step @p201 :rule symm :premises (@p152)) % 16.04/16.37 (step @p576 :rule cong :premises (@p201 @p575) :args (@t241)) % 16.04/16.37 (step @p577 :rule cong :premises (@p152 @p574) :args (@t242)) % 16.04/16.37 (step @p204 :rule symm :premises (@p157)) % 16.04/16.37 (step @p578 :rule cong :premises (@p204 @p539) :args (@t239)) % 16.04/16.37 (step @p579 :rule symm :premises (@p543)) % 16.04/16.37 (step @p892 :rule symm :premises (@p1656)) % 16.04/16.37 (step @p893 :rule cong :premises (@p892 @p575) :args (@t233)) % 16.04/16.37 (step @p894 :rule trans :premises (@p540 @p893)) % 16.04/16.37 (step @p210 :rule refl :args (@t155)) % 16.04/16.37 (step @p895 :rule cong :premises (@p210 @p894) :args (@t174)) % 16.04/16.37 (step @p896 :rule trans :premises (@p895 @p579 @p578 @p577 @p576 @p574)) % 16.04/16.37 (step @p897 :rule cong :premises (@p896 @p198) :args (@t175)) % 16.04/16.37 (step @p214 :rule symm :premises (@p164)) % 16.04/16.37 (step @p215 :rule cong :premises (@p210 @p153) :args (@t160)) % 16.04/16.37 (step @p898 :rule trans :premises (@p157 @p215 @p214 @p897 @p891)) % 16.04/16.37 (step @p823 :rule symm :premises (@p789)) % 16.04/16.37 (step @p824 :rule refl :args (tptp.sk_c2)) % 16.04/16.37 (step @p825 :rule cong :premises (@p201 @p824) :args (@t257)) % 16.04/16.37 (step @p826 :rule cong :premises (@p152 @p823) :args (@t258)) % 16.04/16.37 (step @p232 :rule symm :premises (@p215)) % 16.04/16.37 (step @p899 :rule symm :premises (@p897)) % 16.04/16.37 (step @p900 :rule symm :premises (@p1658)) % 16.04/16.37 (step @p901 :rule trans :premises (@p900 @p1655 @p899 @p164 @p232 @p204)) % 16.04/16.37 (step @p902 :rule cong :premises (@p901 @p789) :args (@t255)) % 16.04/16.37 (step @p903 :rule trans :premises (@p790 @p902 @p826 @p825 @p823)) % 16.04/16.37 (step @p904 :rule cong :premises (@p903 @p898) :args (@t156)) % 16.04/16.37 (step @p905 :rule trans :premises (@p152 @p904 @p890)) % 16.04/16.37 (step @p906 :rule symm :premises (@p901)) % 16.04/16.37 (step @p907 :rule cong :premises (@p906 @p905) :args (@t156)) % 16.04/16.37 (step @p908 :rule trans :premises (@p1655 @p899 @p164 @p232 @p204 @p152 @p907)) % 16.04/16.37 (step-pop @p1681 :rule scope :premises (@p908)) % 16.04/16.37 (step-pop @p1682 :rule scope :premises (@p1681)) % 16.04/16.37 (step-pop @p1683 :rule scope :premises (@p1682)) % 16.04/16.37 (step-pop @p1684 :rule scope :premises (@p1683)) % 16.04/16.37 (step-pop @p1685 :rule scope :premises (@p1684)) % 16.04/16.37 (step-pop @p1686 :rule scope :premises (@p1685)) % 16.04/16.37 (step-pop @p1687 :rule scope :premises (@p1686)) % 16.04/16.37 (step-pop @p1688 :rule scope :premises (@p1687)) % 16.04/16.37 (step-pop @p1689 :rule scope :premises (@p1688)) % 16.04/16.37 (step-pop @p1690 :rule scope :premises (@p1689)) % 16.04/16.37 (step-pop @p1691 :rule scope :premises (@p1690)) % 16.04/16.37 (step-pop @p1692 :rule scope :premises (@p1691)) % 16.04/16.37 (step-pop @p1693 :rule scope :premises (@p1692)) % 16.04/16.37 (step @p909 :rule process_scope :premises (@p1693) :args (@t261)) % 16.04/16.37 (step @p923 :rule and_intro :premises (@p1658 @p1655 @p539 @p152 @p157 @p543 @p1656 @p540 @p164 @p153 @p1657 @p789 @p790)) % 16.04/16.37 (step @p924 :rule modus_ponens :premises (@p923 @p909)) % 16.04/16.37 (step-pop @p1694 :rule scope :premises (@p924)) % 16.04/16.37 (step-pop @p1695 :rule scope :premises (@p1694)) % 16.04/16.37 (step-pop @p1696 :rule scope :premises (@p1695)) % 16.04/16.37 (step-pop @p1697 :rule scope :premises (@p1696)) % 16.04/16.37 (step-pop @p1698 :rule scope :premises (@p1697)) % 16.04/16.37 (step-pop @p1699 :rule scope :premises (@p1698)) % 16.04/16.37 (step-pop @p1700 :rule scope :premises (@p1699)) % 16.04/16.37 (step-pop @p1701 :rule scope :premises (@p1700)) % 16.04/16.37 (step-pop @p1702 :rule scope :premises (@p1701)) % 16.04/16.37 (step-pop @p1703 :rule scope :premises (@p1702)) % 16.04/16.37 (step-pop @p1704 :rule scope :premises (@p1703)) % 16.04/16.37 (step-pop @p1705 :rule scope :premises (@p1704)) % 16.04/16.37 (step-pop @p1706 :rule scope :premises (@p1705)) % 16.04/16.37 (step @p925 :rule process_scope :premises (@p1706) :args (@t261)) % 16.04/16.37 (step @p939 :rule implies_elim :premises (@p925)) % 16.04/16.37 (step @p940 :rule cnf_and_neg :args (@t262)) % 16.04/16.37 (step @p941 :rule resolution :premises (@p940 @p939) :args (true @t262)) % 16.04/16.37 (step @p942 :rule cnf_or_pos :args (@t265)) % 16.04/16.37 (step @p943 :rule reordering :premises (@p942) :args ((or @t264 @t263 (not @t265)))) % 16.04/16.37 (assume-push @p1707 @t198) % 16.04/16.37 (step @p945 :rule instantiate :premises (@p1707) :args (@t252)) % 16.04/16.37 (step-pop @p1708 :rule scope :premises (@p945)) % 16.04/16.37 (step @p946 :rule process_scope :premises (@p1708) :args (@t265)) % 16.04/16.37 (step @p948 :rule implies_elim :premises (@p946)) % 16.04/16.37 (step @p949 :rule chain_m_resolution :premises (@p948 @p943 @p941 @p164 @p543 @p790 @p789 @p157 @p153 @p540 @p539 @p152 @p863 @p164 @p543 @p790 @p789 @p157 @p153 @p540 @p539 @p152) :args ((or @t227 @t225 @t250 @t248 @t266) (@list true false false false false false false false false false false false false false false false false false false false false) (@list @t265 @t261 @t176 @t240 @t256 @t254 @t161 @t159 @t234 @t232 @t157 @t259 @t176 @t240 @t256 @t254 @t161 @t159 @t234 @t232 @t157))) % 16.04/16.37 (step @p950 :rule eq-symm :args (@t56 tptp.sk_c11)) % 16.04/16.37 (step @p951 :rule nary_cong :premises (@p950 @p76) :args (@t58)) % 16.04/16.37 (step @p952 :rule eq_resolve :premises (@p53 @p951)) % 16.04/16.37 (step @p953 :rule reordering :premises (@p952) :args ((or @t106 @t267))) % 16.04/16.37 (step @p954 :rule nary_cong :premises (@p950 @p80) :args (@t59)) % 16.04/16.37 (step @p955 :rule eq_resolve :premises (@p54 @p954)) % 16.04/16.37 (step @p956 :rule reordering :premises (@p955) :args ((or @t107 @t267))) % 16.04/16.37 (assume-push @p1709 @t226) % 16.04/16.37 (assume-push @p1710 @t107) % 16.04/16.37 (assume-push @p1711 @t101) % 16.04/16.37 (assume-push @p1712 @t249) % 16.04/16.37 (assume-push @p1713 @t230) % 16.04/16.37 (assume-push @p1714 @t157) % 16.04/16.37 (assume-push @p1715 @t232) % 16.04/16.37 (assume-push @p1716 @t234) % 16.04/16.37 (assume-push @p1717 @t159) % 16.04/16.37 (assume-push @p1718 @t161) % 16.04/16.37 (assume-push @p1719 @t254) % 16.04/16.37 (assume-push @p1720 @t256) % 16.04/16.37 (assume-push @p1721 @t240) % 16.04/16.37 (assume-push @p1722 @t176) % 16.04/16.37 (assume-push @p1723 @t249) % 16.04/16.37 (assume-push @p1724 @t254) % 16.04/16.37 (assume-push @p1725 @t157) % 16.04/16.37 (assume-push @p1726 @t161) % 16.04/16.37 (assume-push @p1727 @t159) % 16.04/16.37 (assume-push @p1728 @t176) % 16.04/16.37 (assume-push @p1729 @t234) % 16.04/16.37 (assume-push @p1730 @t101) % 16.04/16.37 (assume-push @p1731 @t240) % 16.04/16.37 (assume-push @p1732 @t232) % 16.04/16.37 (assume-push @p1733 @t226) % 16.04/16.37 (assume-push @p1734 @t230) % 16.04/16.37 (assume-push @p1735 @t256) % 16.04/16.37 (assume-push @p1736 @t107) % 16.04/16.37 (step @p985 :rule symm :premises (@p1712)) % 16.04/16.37 (step @p986 :rule symm :premises (@p1709)) % 16.04/16.37 (step @p198 :rule refl :args (tptp.sk_c11)) % 16.04/16.37 (step @p574 :rule symm :premises (@p539)) % 16.04/16.37 (step @p575 :rule refl :args (tptp.sk_c1)) % 16.04/16.37 (step @p201 :rule symm :premises (@p152)) % 16.04/16.37 (step @p576 :rule cong :premises (@p201 @p575) :args (@t241)) % 16.04/16.37 (step @p577 :rule cong :premises (@p152 @p574) :args (@t242)) % 16.04/16.37 (step @p204 :rule symm :premises (@p157)) % 16.04/16.37 (step @p578 :rule cong :premises (@p204 @p539) :args (@t239)) % 16.04/16.37 (step @p579 :rule symm :premises (@p543)) % 16.04/16.37 (step @p987 :rule symm :premises (@p1711)) % 16.04/16.37 (step @p988 :rule cong :premises (@p987 @p575) :args (@t233)) % 16.04/16.37 (step @p989 :rule trans :premises (@p540 @p988)) % 16.04/16.37 (step @p210 :rule refl :args (@t155)) % 16.04/16.37 (step @p990 :rule cong :premises (@p210 @p989) :args (@t174)) % 16.04/16.37 (step @p991 :rule trans :premises (@p990 @p579 @p578 @p577 @p576 @p574)) % 16.04/16.37 (step @p992 :rule cong :premises (@p991 @p198) :args (@t175)) % 16.04/16.37 (step @p214 :rule symm :premises (@p164)) % 16.04/16.37 (step @p215 :rule cong :premises (@p210 @p153) :args (@t160)) % 16.04/16.37 (step @p993 :rule trans :premises (@p157 @p215 @p214 @p992 @p986)) % 16.04/16.37 (step @p823 :rule symm :premises (@p789)) % 16.04/16.37 (step @p824 :rule refl :args (tptp.sk_c2)) % 16.04/16.37 (step @p825 :rule cong :premises (@p201 @p824) :args (@t257)) % 16.04/16.37 (step @p826 :rule cong :premises (@p152 @p823) :args (@t258)) % 16.04/16.37 (step @p232 :rule symm :premises (@p215)) % 16.04/16.37 (step @p994 :rule symm :premises (@p992)) % 16.04/16.37 (step @p995 :rule symm :premises (@p1713)) % 16.04/16.37 (step @p996 :rule trans :premises (@p995 @p1709 @p994 @p164 @p232 @p204)) % 16.04/16.37 (step @p997 :rule cong :premises (@p996 @p789) :args (@t255)) % 16.04/16.37 (step @p998 :rule trans :premises (@p790 @p997 @p826 @p825 @p823)) % 16.04/16.37 (step @p999 :rule cong :premises (@p998 @p993) :args (@t156)) % 16.04/16.37 (step @p1000 :rule trans :premises (@p1709 @p994 @p164 @p232 @p204 @p152 @p999 @p985)) % 16.04/16.37 (step @p401 :rule refl :args (tptp.sk_c6)) % 16.04/16.37 (step @p1001 :rule cong :premises (@p401 @p1000) :args (@t26)) % 16.04/16.37 (step @p1002 :rule trans :premises (@p1710 @p1001)) % 16.04/16.37 (step-pop @p1737 :rule scope :premises (@p1002)) % 16.04/16.37 (step-pop @p1738 :rule scope :premises (@p1737)) % 16.04/16.37 (step-pop @p1739 :rule scope :premises (@p1738)) % 16.04/16.37 (step-pop @p1740 :rule scope :premises (@p1739)) % 16.04/16.37 (step-pop @p1741 :rule scope :premises (@p1740)) % 16.04/16.37 (step-pop @p1742 :rule scope :premises (@p1741)) % 16.04/16.37 (step-pop @p1743 :rule scope :premises (@p1742)) % 16.04/16.37 (step-pop @p1744 :rule scope :premises (@p1743)) % 16.04/16.37 (step-pop @p1745 :rule scope :premises (@p1744)) % 16.04/16.37 (step-pop @p1746 :rule scope :premises (@p1745)) % 16.04/16.37 (step-pop @p1747 :rule scope :premises (@p1746)) % 16.04/16.37 (step-pop @p1748 :rule 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:premises (@p1758)) % 16.04/16.37 (step-pop @p1760 :rule scope :premises (@p1759)) % 16.04/16.37 (step-pop @p1761 :rule scope :premises (@p1760)) % 16.04/16.37 (step-pop @p1762 :rule scope :premises (@p1761)) % 16.04/16.37 (step-pop @p1763 :rule scope :premises (@p1762)) % 16.04/16.37 (step-pop @p1764 :rule scope :premises (@p1763)) % 16.04/16.37 (step @p1020 :rule process_scope :premises (@p1764) :args (@t185)) % 16.04/16.37 (step @p1035 :rule implies_elim :premises (@p1020)) % 16.04/16.37 (step @p1036 :rule cnf_and_neg :args (@t268)) % 16.04/16.37 (step @p1037 :rule resolution :premises (@p1036 @p1035) :args (true @t268)) % 16.04/16.37 (step @p1038 :rule chain_m_resolution :premises (@p452 @p442 @p1037 @p164 @p543 @p790 @p789 @p157 @p153 @p540 @p539 @p152 @p517 @p97 @p87 @p956 @p953 @p949 @p99 @p788 @p783 @p128 @p525 @p520) :args ((or @t267 @t227 @t225 @t250 @t248) (@list true false false false false false false false false false false false true true false false true true true true 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(step @p1051 :rule cnf_or_pos :args (@t276)) % 16.04/16.37 (step @p1052 :rule reordering :premises (@p1051) :args ((or @t146 @t275 (not @t276)))) % 16.04/16.37 (step @p1053 :rule instantiate :premises (@p151) :args (@t273)) % 16.04/16.37 (step @p1054 :rule instantiate :premises (@p156) :args (@t273)) % 16.04/16.37 (step @p1055 :rule instantiate :premises (@p3) :args ((@list @t155 tptp.sk_c11 tptp.sk_c3))) % 16.04/16.37 (assume-push @p1769 @t226) % 16.04/16.37 (assume-push @p1770 @t101) % 16.04/16.37 (assume-push @p1771 @t249) % 16.04/16.37 (assume-push @p1772 @t230) % 16.04/16.37 (assume-push @p1773 @t270) % 16.04/16.37 (assume-push @p1774 @t267) % 16.04/16.37 (assume-push @p1775 @t145) % 16.04/16.37 (assume-push @p1776 @t157) % 16.04/16.37 (assume-push @p1777 @t232) % 16.04/16.37 (assume-push @p1778 @t234) % 16.04/16.37 (assume-push @p1779 @t159) % 16.04/16.37 (assume-push @p1780 @t161) % 16.04/16.37 (assume-push @p1781 @t254) % 16.04/16.37 (assume-push @p1782 @t256) % 16.04/16.37 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16.04/16.37 (step-pop @p1845 :rule scope :premises (@p1844)) % 16.04/16.37 (step-pop @p1846 :rule scope :premises (@p1845)) % 16.04/16.37 (step-pop @p1847 :rule scope :premises (@p1846)) % 16.04/16.37 (step-pop @p1848 :rule scope :premises (@p1847)) % 16.04/16.37 (step-pop @p1849 :rule scope :premises (@p1848)) % 16.04/16.37 (step-pop @p1850 :rule scope :premises (@p1849)) % 16.04/16.37 (step-pop @p1851 :rule scope :premises (@p1850)) % 16.04/16.37 (step-pop @p1852 :rule scope :premises (@p1851)) % 16.04/16.37 (step-pop @p1853 :rule scope :premises (@p1852)) % 16.04/16.37 (step-pop @p1854 :rule scope :premises (@p1853)) % 16.04/16.37 (step-pop @p1855 :rule scope :premises (@p1854)) % 16.04/16.37 (step-pop @p1856 :rule scope :premises (@p1855)) % 16.04/16.37 (step @p1165 :rule process_scope :premises (@p1856) :args (@t274)) % 16.04/16.37 (step @p1188 :rule implies_elim :premises (@p1165)) % 16.04/16.37 (step @p1189 :rule cnf_and_neg :args (@t283)) % 16.04/16.37 (step @p1190 :rule 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@t142 @t228))) % 16.04/16.37 (step @p1193 :rule eq-symm :args (@t52 tptp.sk_c11)) % 16.04/16.37 (step @p1194 :rule nary_cong :premises (@p1193 @p76) :args (@t54)) % 16.04/16.37 (step @p1195 :rule eq_resolve :premises (@p44 @p1194)) % 16.04/16.37 (step @p1196 :rule reordering :premises (@p1195) :args ((or @t106 @t270))) % 16.04/16.37 (step @p1197 :rule nary_cong :premises (@p1193 @p80) :args (@t55)) % 16.04/16.37 (step @p1198 :rule eq_resolve :premises (@p45 @p1197)) % 16.04/16.37 (step @p1199 :rule reordering :premises (@p1198) :args ((or @t107 @t270))) % 16.04/16.37 (step @p1200 :rule chain_m_resolution :premises (@p452 @p517 @p442 @p97 @p1037 @p164 @p543 @p790 @p789 @p157 @p153 @p540 @p539 @p152 @p87 @p1199 @p1196 @p1192 @p1038 @p949 @p99 @p788 @p783 @p128 @p525 @p520) :args ((or @t227 @t225 @t250 @t248) (@list false true true false false false false false false false false false false true false false true false true true true true true true true) (@list @t202 @t192 @t124 @t185 @t176 @t240 @t256 @t254 @t161 @t159 @t234 @t232 @t157 @t114 @t107 @t106 @t270 @t267 @t198 @t217 @t119 @t251 @t221 @t142 @t228))) % 16.04/16.37 (step @p1201 :rule eq-symm :args (@t40 tptp.sk_c9)) % 16.04/16.37 (step @p1202 :rule nary_cong :premises (@p1201 @p68) :args (@t42)) % 16.04/16.37 (step @p1203 :rule eq_resolve :premises (@p24 @p1202)) % 16.04/16.37 (step @p1204 :rule reordering :premises (@p1203) :args ((or @t104 @t249))) % 16.04/16.37 (step @p1205 :rule nary_cong :premises (@p1201 @p72) :args (@t43)) % 16.04/16.37 (step @p1206 :rule eq_resolve :premises (@p25 @p1205)) % 16.04/16.37 (step @p1207 :rule reordering :premises (@p1206) :args ((or @t105 @t249))) % 16.04/16.37 (step @p1208 :rule nary_cong :premises (@p1201 @p76) :args (@t44)) % 16.04/16.37 (step @p1209 :rule eq_resolve :premises (@p26 @p1208)) % 16.04/16.37 (step @p1210 :rule reordering :premises (@p1209) :args ((or @t106 @t249))) % 16.04/16.37 (step @p1211 :rule nary_cong :premises (@p1201 @p80) :args (@t45)) % 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@p1223) :args (@t134 @t284 (@list @t110))) % 16.04/16.37 (step @p1225 :rule nary_cong :premises (@p1216 @p64) :args (@t16)) % 16.04/16.37 (step @p1226 :rule eq_resolve :premises (@p5 @p1225)) % 16.04/16.37 (step @p1227 :rule chain_m_resolution :premises (@p1226 @p1215) :args (@t103 @t284 @t285)) % 16.04/16.37 (step @p1228 :rule nary_cong :premises (@p1216 @p59) :args (@t13)) % 16.04/16.37 (step @p1229 :rule eq_resolve :premises (@p4 @p1228)) % 16.04/16.37 (step @p1230 :rule chain_m_resolution :premises (@p1229 @p1215) :args (@t102 @t284 @t285)) % 16.04/16.37 (step @p1231 :rule chain_m_resolution :premises (@p121 @p1230 @p1227) :args (@t138 @t286 (@list @t102 @t103))) % 16.04/16.37 (step @p1232 :rule chain_m_resolution :premises (@p126 @p1231) :args (@t151 @t284 (@list @t137))) % 16.04/16.37 (step @p1233 :rule nary_cong :premises (@p1216 @p80) :args (@t28)) % 16.04/16.37 (step @p1234 :rule eq_resolve :premises (@p9 @p1233)) % 16.04/16.37 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p1215) :args (@t107 @t284 @t285)) % 16.04/16.37 (step @p1236 :rule nary_cong :premises (@p1216 @p76) :args (@t25)) % 16.04/16.37 (step @p1237 :rule eq_resolve :premises (@p8 @p1236)) % 16.04/16.37 (step @p1238 :rule chain_m_resolution :premises (@p1237 @p1215) :args (@t106 @t284 @t285)) % 16.04/16.37 (step @p1239 :rule chain_m_resolution :premises (@p87 @p1238 @p1235) :args (@t115 @t286 (@list @t106 @t107))) % 16.04/16.37 (step @p1240 :rule chain_m_resolution :premises (@p97 @p1239) :args ((not @t124) @t284 (@list @t114))) % 16.04/16.37 (step @p1241 :rule chain_m_resolution :premises (@p128 @p1232) :args ((not @t221) @t284 @t287)) % 16.04/16.37 (step @p1242 :rule chain_m_resolution :premises (@p99 @p1224) :args ((not @t217) @t284 @t288)) % 16.04/16.37 (step @p1243 :rule chain_m_resolution :premises (@p108 @p1224) :args (@t133 @t284 @t288)) % 16.04/16.37 (step @p1244 :rule chain_m_resolution :premises (@p119 @p1243) :args (@t128 @t284 @t289)) % 16.04/16.37 (step @p1245 :rule chain_m_resolution :premises (@p114 @p1243) :args (@t130 @t284 @t289)) % 16.04/16.37 (step @p1246 :rule chain_m_resolution :premises (@p137 @p1232) :args (@t150 @t284 @t287)) % 16.04/16.37 (step @p1247 :rule chain_m_resolution :premises (@p148 @p1246) :args (@t145 @t284 @t290)) % 16.04/16.37 (step @p1248 :rule chain_m_resolution :premises (@p143 @p1246) :args (@t147 @t284 @t290)) % 16.04/16.37 (step @p1249 :rule chain_m_resolution :premises (@p438 @p1235 @p1248 @p1247 @p1245 @p1244 @p152 @p153 @p157 @p159 @p160 @p161 @p162 @p163 @p164) :args (@t185 (@list false false false false false false false false false false false false false false) (@list @t107 @t147 @t145 @t130 @t128 @t157 @t159 @t161 @t165 @t167 @t169 @t171 @t173 @t176))) % 16.04/16.37 (step @p1250 :rule chain_m_resolution :premises (@p442 @p1238 @p1249) :args (@t193 @t286 (@list @t106 @t185))) % 16.04/16.37 (step @p1251 :rule chain_m_resolution :premises (@p452 @p1250) :args ((not @t202) @t284 (@list @t192))) % 16.04/16.37 (step @p1252 :rule chain_m_resolution :premises (@p271 @p1219 @p1248 @p1247 @p1245 @p1244 @p152 @p153 @p157 @p158 @p159 @p160 @p161 @p162 @p163 @p164) :args (@t181 @t291 (@list @t105 @t147 @t145 @t130 @t128 @t157 @t159 @t161 @t163 @t165 @t167 @t169 @t171 @t173 @t176))) % 16.04/16.37 (step @p1253 :rule chain_m_resolution :premises (@p356 @p1222 @p1219 @p1248 @p1247 @p1245 @p1244 @p152 @p153 @p157 @p159 @p160 @p161 @p162 @p163 @p164) :args (@t183 @t291 (@list @t104 @t105 @t147 @t145 @t130 @t128 @t157 @t159 @t161 @t165 @t167 @t169 @t171 @t173 @t176))) % 16.04/16.37 (step @p1254 :rule chain_m_resolution :premises (@p440 @p1253 @p1252) :args (@t190 @t286 (@list @t183 @t181))) % 16.04/16.37 (step @p1255 :rule chain_m_resolution :premises (@p447 @p1254) :args (@t266 @t284 (@list @t189))) % 16.04/16.37 (step @p1256 false :rule chain_m_resolution :premises (@p517 @p1255 @p1251 @p1242 @p1241 @p1240 @p1232 @p1224) :args (false (@list true true true true true true true) (@list @t198 @t202 @t217 @t221 @t124 @t142 @t119))) % 16.04/16.37 ) % 16.04/16.37 % SZS output end Proof % 16.04/16.37 % cvc5 exiting %------------------------------------------------------------------------------