%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO502+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:17:19 AM UTC 2026 % Result : Theorem 33.71s 33.98s % Output : Proof 33.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO502+1 : TPTP v9.2.1. Released v7.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n003.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 23:55:59 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.71/33.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.71/33.98 --- Run --no-e-matching --full-saturate-quant at 6... % 33.71/33.98 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.71/33.98 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.71/33.98 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.71/33.98 % SZS status Theorem % 33.71/33.98 % SZS output start Proof % 33.71/33.98 ( % 33.71/33.98 (declare-sort $$unsorted 0) % 33.71/33.98 (declare-const tptp.s_m (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.pointOffLine (-> $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.xb $$unsorted) % 33.71/33.98 (declare-const tptp.beta $$unsorted) % 33.71/33.98 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.alpha $$unsorted) % 33.71/33.98 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.s_kf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.71/33.98 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.71/33.98 (declare-const tptp.gamma $$unsorted) % 33.71/33.98 (define @t1 () (@var "X" $$unsorted)) % 33.71/33.98 (define @t2 () (@var "Y" $$unsorted)) % 33.71/33.98 (define @t3 () (@list @t1 @t2)) % 33.71/33.98 (define @t4 () (@var "V2" $$unsorted)) % 33.71/33.98 (define @t5 () (@var "Z2" $$unsorted)) % 33.71/33.98 (define @t6 () (@var "V" $$unsorted)) % 33.71/33.98 (define @t7 () (@var "Z" $$unsorted)) % 33.71/33.98 (define @t8 () (= @t1 @t2)) % 33.71/33.98 (define @t9 () (@var "W" $$unsorted)) % 33.71/33.98 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 33.71/33.98 (define @t11 () (@var "V1" $$unsorted)) % 33.71/33.98 (define @t12 () (@var "Z1" $$unsorted)) % 33.71/33.98 (define @t13 () (@var "Y1" $$unsorted)) % 33.71/33.98 (define @t14 () (@var "X1" $$unsorted)) % 33.71/33.98 (define @t15 () (@var "Xa" $$unsorted)) % 33.71/33.98 (define @t16 () (@var "Xq" $$unsorted)) % 33.71/33.98 (define @t17 () (@var "Xb" $$unsorted)) % 33.71/33.98 (define @t18 () (@var "Xc" $$unsorted)) % 33.71/33.98 (define @t19 () (@var "Xp" $$unsorted)) % 33.71/33.98 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 33.71/33.98 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 33.71/33.98 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 33.71/33.98 (define @t23 () (@list @t15 @t17)) % 33.71/33.98 (define @t24 () (@var "Xd" $$unsorted)) % 33.71/33.98 (define @t25 () (tptp.s_e @t15 @t17 @t18 @t24)) % 33.71/33.98 (define @t26 () (not @t25)) % 33.71/33.98 (define @t27 () (@list @t15 @t17 @t18 @t24)) % 33.71/33.98 (define @t28 () (@var "Xf" $$unsorted)) % 33.71/33.98 (define @t29 () (@var "Xe" $$unsorted)) % 33.71/33.98 (define @t30 () (@list @t15 @t17 @t18 @t24 @t29 @t28)) % 33.71/33.98 (define @t31 () (@var "Xc1" $$unsorted)) % 33.71/33.98 (define @t32 () (@var "Xa1" $$unsorted)) % 33.71/33.98 (define @t33 () (tptp.s_e @t15 @t18 @t32 @t31)) % 33.71/33.98 (define @t34 () (@var "Xb1" $$unsorted)) % 33.71/33.98 (define @t35 () (not (tptp.s_e @t17 @t18 @t34 @t31))) % 33.71/33.98 (define @t36 () (tptp.s_e @t15 @t17 @t32 @t34)) % 33.71/33.98 (define @t37 () (not @t36)) % 33.71/33.98 (define @t38 () (tptp.s_t @t32 @t34 @t31)) % 33.71/33.98 (define @t39 () (not @t38)) % 33.71/33.98 (define @t40 () (tptp.s_t @t15 @t17 @t18)) % 33.71/33.98 (define @t41 () (not @t40)) % 33.71/33.98 (define @t42 () (@list @t15 @t17 @t18 @t32 @t34 @t31)) % 33.71/33.98 (define @t43 () (= @t17 @t18)) % 33.71/33.98 (define @t44 () (@var "XC" $$unsorted)) % 33.71/33.98 (define @t45 () (@var "XA" $$unsorted)) % 33.71/33.98 (define @t46 () (@var "XB" $$unsorted)) % 33.71/33.98 (define @t47 () (@list @t15 @t17 @t18)) % 33.71/33.98 (define @t48 () (= @t15 @t17)) % 33.71/33.98 (define @t49 () (tptp.s_t @t17 @t18 @t24)) % 33.71/33.98 (define @t50 () (not @t49)) % 33.71/33.98 (define @t51 () (tptp.s_t @t15 @t17 @t24)) % 33.71/33.98 (define @t52 () (not @t51)) % 33.71/33.98 (define @t53 () (@list @t15 @t17 @t24 @t18)) % 33.71/33.98 (define @t54 () (tptp.s_t @t15 @t18 @t24)) % 33.71/33.98 (define @t55 () (not @t54)) % 33.71/33.98 (define @t56 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 33.71/33.98 (define @t57 () (tptp.crossbar @t15 @t17 @t18 @t32 @t34 @t19)) % 33.71/33.98 (define @t58 () (not (tptp.s_t @t15 @t19 @t32))) % 33.71/33.98 (define @t59 () (not (tptp.s_t @t32 @t34 @t18))) % 33.71/33.98 (define @t60 () (@var "Xd1" $$unsorted)) % 33.71/33.98 (define @t61 () (tptp.s_e @t17 @t24 @t34 @t60)) % 33.71/33.98 (define @t62 () (@list @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 33.71/33.98 (define @t63 () (not @t33)) % 33.71/33.98 (define @t64 () (tptp.insert @t15 @t17 @t32 @t31)) % 33.71/33.98 (define @t65 () (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 @t31)) % 33.71/33.98 (define @t66 () (not @t65)) % 33.71/33.98 (define @t67 () (tptp.s_col @t15 @t17 @t18)) % 33.71/33.98 (define @t68 () (not @t67)) % 33.71/33.98 (define @t69 () (tptp.s_e @t18 @t24 @t31 @t60)) % 33.71/33.98 (define @t70 () (tptp.s_fs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 33.71/33.98 (define @t71 () (not @t70)) % 33.71/33.98 (define @t72 () (= @t18 @t31)) % 33.71/33.98 (define @t73 () (not (tptp.s_e @t17 @t18 @t17 @t31))) % 33.71/33.98 (define @t74 () (not (tptp.s_e @t15 @t18 @t15 @t31))) % 33.71/33.98 (define @t75 () (tptp.s_t @t15 @t18 @t17)) % 33.71/33.98 (define @t76 () (tptp.insert @t15 @t17 @t18 @t24)) % 33.71/33.98 (define @t77 () (tptp.ins @t18 @t24 @t15 @t17)) % 33.71/33.98 (define @t78 () (tptp.le @t15 @t17 @t18 @t24)) % 33.71/33.98 (define @t79 () (not @t78)) % 33.71/33.98 (define @t80 () (tptp.le @t18 @t24 @t15 @t17)) % 33.71/33.98 (define @t81 () (tptp.le @t15 @t17 @t15 @t18)) % 33.71/33.98 (define @t82 () (tptp.le @t17 @t18 @t15 @t18)) % 33.71/33.98 (define @t83 () (tptp.sameside @t15 @t19 @t17)) % 33.71/33.98 (define @t84 () (tptp.s_t @t17 @t19 @t18)) % 33.71/33.98 (define @t85 () (not @t84)) % 33.71/33.98 (define @t86 () (= @t18 @t19)) % 33.71/33.98 (define @t87 () (= @t17 @t19)) % 33.71/33.98 (define @t88 () (= @t15 @t19)) % 33.71/33.98 (define @t89 () (@list @t15 @t19 @t17 @t18)) % 33.71/33.98 (define @t90 () (not @t83)) % 33.71/33.98 (define @t91 () (tptp.c63 @t15 @t19 @t17)) % 33.71/33.98 (define @t92 () (or @t90 (not @t87))) % 33.71/33.98 (define @t93 () (not @t88)) % 33.71/33.98 (define @t94 () (or @t90 @t93)) % 33.71/33.98 (define @t95 () (@list @t15 @t19 @t17)) % 33.71/33.98 (define @t96 () (tptp.s_t @t15 @t19 @t17)) % 33.71/33.98 (define @t97 () (tptp.s_col @t15 @t19 @t17)) % 33.71/33.98 (define @t98 () (@list @t15 @t19)) % 33.71/33.98 (define @t99 () (@var "Xr" $$unsorted)) % 33.71/33.98 (define @t100 () (tptp.insert @t17 @t18 @t15 @t99)) % 33.71/33.98 (define @t101 () (= @t99 @t15)) % 33.71/33.98 (define @t102 () (= @t19 @t16)) % 33.71/33.98 (define @t103 () (tptp.s_t @t19 @t15 @t17)) % 33.71/33.98 (define @t104 () (tptp.le @t19 @t15 @t19 @t17)) % 33.71/33.98 (define @t105 () (not @t103)) % 33.71/33.98 (define @t106 () (tptp.sameside @t15 @t19 @t99)) % 33.71/33.98 (define @t107 () (tptp.sameside @t15 @t19 @t16)) % 33.71/33.98 (define @t108 () (tptp.s_col @t15 @t19 @t16)) % 33.71/33.98 (define @t109 () (not (tptp.s_t @t16 @t19 @t99))) % 33.71/33.98 (define @t110 () (= @t19 @t99)) % 33.71/33.98 (define @t111 () (@list @t19 @t16 @t99 @t15)) % 33.71/33.98 (define @t112 () (tptp.s_t @t18 @t15 @t17)) % 33.71/33.98 (define @t113 () (not @t112)) % 33.71/33.98 (define @t114 () (@var "Xcs" $$unsorted)) % 33.71/33.98 (define @t115 () (not (tptp.s_col @t19 @t16 @t99))) % 33.71/33.98 (define @t116 () (@var "Xm" $$unsorted)) % 33.71/33.98 (define @t117 () (tptp.s_m @t15 @t116 @t17)) % 33.71/33.98 (define @t118 () (not @t117)) % 33.71/33.98 (define @t119 () (@list @t15 @t116 @t17)) % 33.71/33.98 (define @t120 () (= @t116 @t15)) % 33.71/33.98 (define @t121 () (tptp.s_m @t15 @t116 @t15)) % 33.71/33.98 (define @t122 () (@list @t15 @t116)) % 33.71/33.98 (define @t123 () (tptp.s @t15 @t19)) % 33.71/33.98 (define @t124 () (not (tptp.s_m @t19 @t15 @t16))) % 33.71/33.98 (define @t125 () (tptp.s @t15 @t16)) % 33.71/33.98 (define @t126 () (= @t19 @t15)) % 33.71/33.98 (define @t127 () (= @t123 @t19)) % 33.71/33.98 (define @t128 () (tptp.s @t15 @t99)) % 33.71/33.98 (define @t129 () (tptp.s_t @t123 @t125 @t128)) % 33.71/33.98 (define @t130 () (tptp.s_t @t19 @t16 @t99)) % 33.71/33.98 (define @t131 () (tptp.s_e @t123 @t125 @t128 (tptp.s @t15 @t114))) % 33.71/33.98 (define @t132 () (tptp.s_e @t19 @t16 @t99 @t114)) % 33.71/33.98 (define @t133 () (@list @t19 @t16 @t99 @t114 @t15)) % 33.71/33.98 (define @t134 () (tptp.s @t17 @t19)) % 33.71/33.98 (define @t135 () (tptp.s_e @t116 @t15 @t116 @t17)) % 33.71/33.98 (define @t136 () (not @t135)) % 33.71/33.98 (define @t137 () (@var "Xa2" $$unsorted)) % 33.71/33.98 (define @t138 () (@var "Xm2" $$unsorted)) % 33.71/33.98 (define @t139 () (@var "Xm1" $$unsorted)) % 33.71/33.98 (define @t140 () (tptp.s_t @t139 @t18 @t138)) % 33.71/33.98 (define @t141 () (@var "Xb2" $$unsorted)) % 33.71/33.98 (define @t142 () (tptp.s_kf @t32 @t139 @t34 @t18 @t141 @t138 @t137)) % 33.71/33.98 (define @t143 () (not @t142)) % 33.71/33.98 (define @t144 () (@list @t32 @t139 @t34 @t18 @t141 @t138 @t137)) % 33.71/33.98 (define @t145 () (forall @t144 (or @t143 @t140))) % 33.71/33.98 (define @t146 () (tptp.s_m @t137 @t138 @t141)) % 33.71/33.98 (define @t147 () (not @t146)) % 33.71/33.98 (define @t148 () (tptp.s_m @t32 @t139 @t34)) % 33.71/33.98 (define @t149 () (not @t148)) % 33.71/33.98 (define @t150 () (tptp.s_e @t18 @t137 @t18 @t141)) % 33.71/33.98 (define @t151 () (not @t150)) % 33.71/33.98 (define @t152 () (tptp.s_e @t18 @t32 @t18 @t34)) % 33.71/33.98 (define @t153 () (not @t152)) % 33.71/33.98 (define @t154 () (tptp.s_t @t34 @t18 @t141)) % 33.71/33.98 (define @t155 () (not @t154)) % 33.71/33.98 (define @t156 () (tptp.s_t @t32 @t18 @t137)) % 33.71/33.98 (define @t157 () (not @t156)) % 33.71/33.98 (define @t158 () (forall (@list @t32 @t18 @t137 @t34 @t141 @t139 @t138) (or @t157 @t155 @t153 @t151 @t149 @t147 @t140))) % 33.71/33.98 (define @t159 () (@var "Zd" $$unsorted)) % 33.71/33.98 (define @t160 () (@var "Zc" $$unsorted)) % 33.71/33.98 (define @t161 () (@var "Zb" $$unsorted)) % 33.71/33.98 (define @t162 () (@var "Za" $$unsorted)) % 33.71/33.98 (define @t163 () (tptp.s_afs @t15 @t17 @t18 @t24 @t162 @t161 @t160 @t159)) % 33.71/33.98 (define @t164 () (tptp.s_e @t17 @t24 @t161 @t159)) % 33.71/33.98 (define @t165 () (tptp.s_e @t15 @t24 @t162 @t159)) % 33.71/33.98 (define @t166 () (not @t165)) % 33.71/33.98 (define @t167 () (tptp.s_e @t17 @t18 @t161 @t160)) % 33.71/33.98 (define @t168 () (not @t167)) % 33.71/33.98 (define @t169 () (tptp.s_e @t15 @t17 @t162 @t161)) % 33.71/33.98 (define @t170 () (tptp.s_t @t162 @t161 @t160)) % 33.71/33.98 (define @t171 () (not @t170)) % 33.71/33.98 (define @t172 () (not @t163)) % 33.71/33.98 (define @t173 () (@list @t15 @t17 @t18 @t24 @t162 @t161 @t160 @t159)) % 33.71/33.98 (define @t174 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t162 @t161 @t160 @t159)) % 33.71/33.98 (define @t175 () (tptp.s_e @t18 @t24 @t160 @t159)) % 33.71/33.98 (define @t176 () (tptp.s_e @t15 @t18 @t162 @t160)) % 33.71/33.98 (define @t177 () (not @t174)) % 33.71/33.98 (define @t178 () (@var "Xb3" $$unsorted)) % 33.71/33.98 (define @t179 () (@var "Xa3" $$unsorted)) % 33.71/33.98 (define @t180 () (tptp.s_e3 @t32 @t137 @t179 @t34 @t141 @t178)) % 33.71/33.98 (define @t181 () (tptp.s_e @t137 @t179 @t141 @t178)) % 33.71/33.98 (define @t182 () (tptp.s_e @t32 @t179 @t34 @t178)) % 33.71/33.98 (define @t183 () (tptp.s_e @t32 @t137 @t34 @t141)) % 33.71/33.98 (define @t184 () (not @t180)) % 33.71/33.98 (define @t185 () (tptp.s_t @t17 @t18 @t15)) % 33.71/33.98 (define @t186 () (tptp.s_e @t15 @t24 @t32 @t60)) % 33.71/33.98 (define @t187 () (tptp.s_t @t19 @t17 @t15)) % 33.71/33.98 (define @t188 () (tptp.s_t @t15 @t116 @t17)) % 33.71/33.98 (define @t189 () (or @t157 @t155 @t153 @t151 @t149 @t147 @t142)) % 33.71/33.98 (define @t190 () (or @t143 @t146)) % 33.71/33.98 (define @t191 () (or @t143 @t148)) % 33.71/33.98 (define @t192 () (or @t143 @t150)) % 33.71/33.98 (define @t193 () (or @t143 @t152)) % 33.71/33.98 (define @t194 () (or @t143 @t154)) % 33.71/33.98 (define @t195 () (or @t143 @t156)) % 33.71/33.98 (define @t196 () (forall @t144 (and @t195 @t194 @t193 @t192 @t191 @t190 @t189))) % 33.71/33.98 (define @t197 () (forall @t144 @t189)) % 33.71/33.98 (define @t198 () (@list @t32 @t139 @t34 @t18 @t141 @t138 @t137)) % 33.71/33.98 (define @t199 () (forall @t144 @t190)) % 33.71/33.98 (define @t200 () (forall @t144 @t191)) % 33.71/33.98 (define @t201 () (forall @t144 @t192)) % 33.71/33.98 (define @t202 () (forall @t144 @t193)) % 33.71/33.98 (define @t203 () (forall @t144 @t194)) % 33.71/33.98 (define @t204 () (forall @t144 @t195)) % 33.71/33.98 (define @t205 () (and @t204 @t203 @t202 @t201 @t200 @t199 @t197)) % 33.71/33.98 (define @t206 () (@quantifiers_skolemize @t158 2)) % 33.71/33.98 (define @t207 () (@quantifiers_skolemize @t158 6)) % 33.71/33.98 (define @t208 () (@quantifiers_skolemize @t158 4)) % 33.71/33.98 (define @t209 () (@quantifiers_skolemize @t158 1)) % 33.71/33.98 (define @t210 () (@quantifiers_skolemize @t158 3)) % 33.71/33.98 (define @t211 () (@quantifiers_skolemize @t158 5)) % 33.71/33.98 (define @t212 () (@quantifiers_skolemize @t158 0)) % 33.71/33.98 (define @t213 () (@list @t212 @t211 @t210 @t209 @t208 @t207 @t206)) % 33.71/33.98 (define @t214 () (tptp.s_m @t206 @t207 @t208)) % 33.71/33.98 (define @t215 () (tptp.s_t @t211 @t209 @t207)) % 33.71/33.98 (define @t216 () (not @t214)) % 33.71/33.98 (define @t217 () (tptp.s_m @t212 @t211 @t210)) % 33.71/33.98 (define @t218 () (not @t217)) % 33.71/33.98 (define @t219 () (tptp.s_e @t209 @t206 @t209 @t208)) % 33.71/33.98 (define @t220 () (not @t219)) % 33.71/33.98 (define @t221 () (tptp.s_e @t209 @t212 @t209 @t210)) % 33.71/33.98 (define @t222 () (not @t221)) % 33.71/33.98 (define @t223 () (tptp.s_t @t210 @t209 @t208)) % 33.71/33.98 (define @t224 () (not @t223)) % 33.71/33.98 (define @t225 () (tptp.s_t @t212 @t209 @t206)) % 33.71/33.98 (define @t226 () (not @t225)) % 33.71/33.98 (define @t227 () (or @t226 @t224 @t222 @t220 @t218 @t216 @t215)) % 33.71/33.98 (define @t228 () (@list true)) % 33.71/33.98 (define @t229 () (@list @t227)) % 33.71/33.98 (define @t230 () (tptp.s_kf @t212 @t211 @t210 @t209 @t208 @t207 @t206)) % 33.71/33.98 (define @t231 () (or @t226 @t224 @t222 @t220 @t218 @t216 @t230)) % 33.71/33.98 (define @t232 () (not @t230)) % 33.71/33.98 (define @t233 () (or @t232 @t215)) % 33.71/33.98 (define @t234 () (not @t233)) % 33.71/33.98 (define @t235 () (@list true false)) % 33.71/33.98 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 33.71/33.98 (assume @p2 (forall (@list @t1 @t2 @t7 @t6 @t5 @t4) (or (not (tptp.s_e @t1 @t2 @t7 @t6)) (not (tptp.s_e @t1 @t2 @t5 @t4)) (tptp.s_e @t7 @t6 @t5 @t4)))) % 33.71/33.98 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 33.71/33.98 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 33.71/33.98 (assume @p5 (forall (@list @t1 @t2 @t14 @t13 @t7 @t12 @t6 @t11) (or (not (tptp.s_e @t1 @t2 @t14 @t13)) (not (tptp.s_e @t2 @t7 @t13 @t12)) (not (tptp.s_e @t1 @t6 @t14 @t11)) (not (tptp.s_e @t2 @t6 @t13 @t11)) (not (tptp.s_t @t1 @t2 @t7)) (not (tptp.s_t @t14 @t13 @t12)) @t8 (tptp.s_e @t7 @t6 @t12 @t11)))) % 33.71/33.98 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 33.71/33.98 (assume @p7 (forall (@list @t15 @t19 @t18 @t17 @t16) (and (or @t22 @t21 (tptp.s_t @t19 @t20 @t17)) (or @t22 @t21 (tptp.s_t @t16 @t20 @t15))))) % 33.71/33.98 (assume @p8 (and (not (tptp.s_t tptp.alpha tptp.beta tptp.gamma)) (not (tptp.s_t tptp.beta tptp.gamma tptp.alpha)) (not (tptp.s_t tptp.gamma tptp.alpha tptp.beta)))) % 33.71/33.98 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 33.71/33.98 (assume @p10 (forall @t27 (or @t26 (tptp.s_e @t18 @t24 @t15 @t17)))) % 33.71/33.98 (assume @p11 (forall @t30 (or @t26 (not (tptp.s_e @t18 @t24 @t29 @t28)) (tptp.s_e @t15 @t17 @t29 @t28)))) % 33.71/33.98 (assume @p12 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t18 @t24)))) % 33.71/33.98 (assume @p13 (forall @t27 (or @t26 (tptp.s_e @t15 @t17 @t24 @t18)))) % 33.71/33.98 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 33.71/33.98 (assume @p15 (forall @t42 (or @t41 @t39 @t37 @t35 @t33))) % 33.71/33.98 (assume @p16 (forall (@list @t16 @t15 @t24 @t17 @t18) (or (= @t16 @t15) (not (tptp.s_t @t16 @t15 @t24)) (not (tptp.s_e @t15 @t24 @t17 @t18)) (= @t24 (tptp.ext @t16 @t15 @t17 @t18))))) % 33.71/33.98 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t43))) % 33.71/33.98 (assume @p18 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t24 @t18)))) % 33.71/33.98 (assume @p19 (forall (@list @t15 @t17 @t18 @t45 @t46 @t44) (or @t41 (not (tptp.s_t @t45 @t46 @t44)) (not (tptp.s_e @t15 @t17 @t46 @t44)) (not (tptp.s_e @t17 @t18 @t45 @t46)) (tptp.s_e @t15 @t18 @t45 @t44)))) % 33.71/33.98 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 33.71/33.98 (assume @p21 (forall @t47 (or @t41 (tptp.s_t @t18 @t17 @t15)))) % 33.71/33.98 (assume @p22 (forall (@list @t32 @t34) (tptp.s_t @t32 @t32 @t34))) % 33.71/33.98 (assume @p23 (forall @t47 (or @t41 (not (tptp.s_t @t17 @t15 @t18)) @t48))) % 33.71/33.98 (assume @p24 (forall @t53 (or @t52 @t50 @t40))) % 33.71/33.98 (assume @p25 (forall @t27 (or @t41 @t55 @t49))) % 33.71/33.98 (assume @p26 (forall @t27 (or @t41 @t50 @t43 @t54))) % 33.71/33.98 (assume @p27 (forall @t53 (or @t52 @t50 @t54))) % 33.71/33.98 (assume @p28 (forall @t27 (or @t41 @t55 @t51))) % 33.71/33.98 (assume @p29 (forall @t27 (or @t41 @t50 @t43 @t51))) % 33.71/33.98 (assume @p30 (not (= tptp.alpha tptp.beta))) % 33.71/33.98 (assume @p31 (not (= tptp.beta tptp.gamma))) % 33.71/33.98 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 33.71/33.98 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t56))) % 33.71/33.98 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t56)))) % 33.71/33.98 (assume @p35 (forall (@list @t15 @t17 @t18 @t32 @t34 @t19) (and (or @t41 @t59 @t58 (tptp.s_t @t19 @t57 @t18)) (or @t41 @t59 @t58 (tptp.s_t @t17 @t57 @t34))))) % 33.71/33.98 (assume @p36 (forall @t62 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) @t61))) % 33.71/33.98 (assume @p37 (forall @t42 (or @t41 @t39 @t63 @t35 @t36))) % 33.71/33.98 (assume @p38 (forall (@list @t15 @t17 @t18 @t32 @t31) (and (or @t41 @t63 (tptp.s_t @t32 @t64 @t31)) (or @t41 @t63 (tptp.s_e3 @t15 @t17 @t18 @t32 @t64 @t31))))) % 33.71/33.98 (assume @p39 (forall @t42 (or @t41 @t66 @t38))) % 33.71/33.98 (assume @p40 (forall @t47 (or @t68 (tptp.s_col @t17 @t18 @t15)))) % 33.71/33.98 (assume @p41 (forall @t47 (or @t68 (tptp.s_col @t18 @t15 @t17)))) % 33.71/33.98 (assume @p42 (forall @t47 (or @t68 (tptp.s_col @t18 @t17 @t15)))) % 33.71/33.98 (assume @p43 (forall @t47 (or @t68 (tptp.s_col @t17 @t15 @t18)))) % 33.71/33.98 (assume @p44 (forall @t47 (or @t68 (tptp.s_col @t15 @t18 @t17)))) % 33.71/33.98 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 33.71/33.98 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 33.71/33.98 (assume @p47 (forall @t42 (or @t68 @t66 (tptp.s_col @t32 @t34 @t31)))) % 33.71/33.98 (assume @p48 (forall (@list @t15 @t17 @t18 @t32 @t34) (or @t68 @t37 (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 (tptp.insert5 @t15 @t17 @t18 @t32 @t34))))) % 33.71/33.98 (assume @p49 (forall @t62 (or @t71 @t48 @t69))) % 33.71/33.98 (assume @p50 (forall (@list @t15 @t17 @t18 @t19 @t16) (or @t48 @t68 (not (tptp.s_e @t15 @t19 @t15 @t16)) (not (tptp.s_e @t17 @t19 @t17 @t16)) (tptp.s_e @t18 @t19 @t18 @t16)))) % 33.71/33.98 (assume @p51 (forall (@list @t15 @t17 @t18 @t31) (or @t48 @t68 @t74 @t73 @t72))) % 33.71/33.98 (assume @p52 (forall (@list @t15 @t18 @t17 @t31) (or (not @t75) @t74 @t73 @t72))) % 33.71/33.98 (assume @p53 (forall @t27 (or @t48 @t41 @t52 @t54 (tptp.s_t @t15 @t24 @t18)))) % 33.71/33.98 (assume @p54 (forall @t27 (or @t48 @t41 @t52 @t49 (tptp.s_t @t17 @t24 @t18)))) % 33.71/33.98 (assume @p55 (forall @t53 (or @t52 @t55 @t40 @t75))) % 33.71/33.98 (assume @p56 (forall @t27 (and (or @t79 (tptp.s_t @t15 @t17 @t77)) (or @t79 (tptp.s_e @t15 @t77 @t18 @t24)) (or @t79 (= @t77 (tptp.ext @t15 @t17 @t76 @t24)))))) % 33.71/33.98 (assume @p57 (forall (@list @t15 @t17 @t18 @t24 @t29) (or @t78 (not (tptp.s_t @t15 @t17 @t29)) (not (tptp.s_e @t15 @t29 @t18 @t24))))) % 33.71/33.99 (assume @p58 (forall @t62 (or @t79 @t37 (not @t69) (tptp.le @t32 @t34 @t31 @t60)))) % 33.71/33.99 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 33.71/33.99 (assume @p60 (forall @t30 (or @t79 (not (tptp.le @t18 @t24 @t29 @t28)) (tptp.le @t15 @t17 @t29 @t28)))) % 33.71/33.99 (assume @p61 (forall @t27 (or @t79 (not @t80) @t25))) % 33.71/33.99 (assume @p62 (forall @t27 (or @t78 @t80))) % 33.71/33.99 (assume @p63 (forall (@list @t15 @t18 @t24) (tptp.le @t15 @t15 @t18 @t24))) % 33.71/33.99 (assume @p64 (forall @t47 (or @t68 @t41 @t81))) % 33.71/33.99 (assume @p65 (forall @t47 (or @t68 @t41 @t82))) % 33.71/33.99 (assume @p66 (forall @t47 (or @t41 (not (tptp.s_e @t15 @t18 @t15 @t17)) (= @t18 @t17)))) % 33.71/33.99 (assume @p67 (forall @t47 (or @t68 @t40 (not @t81) (not @t82)))) % 33.71/33.99 (assume @p68 (forall @t89 (or @t88 @t87 @t86 @t22 @t85 @t83))) % 33.71/33.99 (assume @p69 (forall @t89 (or @t88 @t87 @t86 @t22 @t84 @t90))) % 33.71/33.99 (assume @p70 (forall @t95 (and @t94 @t92 (or @t90 (not (= @t91 @t19))) (or @t90 (tptp.s_t @t15 @t19 @t91)) (or @t90 (tptp.s_t @t17 @t19 @t91))))) % 33.71/33.99 (assume @p71 (forall @t89 (or @t83 @t88 @t87 @t86 @t22 @t85))) % 33.71/33.99 (assume @p72 (forall @t95 (and (or @t90 @t97) (or @t90 (not @t96))))) % 33.71/33.99 (assume @p73 (forall @t95 (or @t83 (not @t97) @t96))) % 33.71/33.99 (assume @p74 (forall @t98 (or @t88 (tptp.sameside @t15 @t19 @t15)))) % 33.71/33.99 (assume @p75 (forall @t95 (or @t90 (tptp.sameside @t17 @t19 @t15)))) % 33.71/33.99 (assume @p76 (forall @t89 (or @t90 (not (tptp.sameside @t17 @t19 @t18)) (tptp.sameside @t15 @t19 @t18)))) % 33.71/33.99 (assume @p77 (forall (@list @t99 @t15 @t17 @t18) (and (or @t101 @t43 (tptp.sameside @t100 @t15 @t99)) (or @t101 @t43 (tptp.s_e @t15 @t100 @t17 @t18))))) % 33.71/33.99 (assume @p78 (forall (@list @t99 @t15 @t17 @t18 @t19 @t16) (or @t101 @t43 (not (tptp.sameside @t19 @t15 @t99)) (not (tptp.s_e @t15 @t19 @t17 @t18)) (not (tptp.sameside @t16 @t15 @t99)) (not (tptp.s_e @t15 @t16 @t17 @t18)) @t102))) % 33.71/33.99 (assume @p79 (forall @t95 (or @t90 (not @t104) @t103))) % 33.71/33.99 (assume @p80 (forall @t95 (or @t90 @t104 @t105))) % 33.71/33.99 (assume @p81 (forall @t111 (or @t102 @t110 @t109 (not @t108) @t88 @t107 @t106))) % 33.71/33.99 (assume @p82 (forall @t111 (or @t102 @t110 @t109 (not @t107) @t108))) % 33.71/33.99 (assume @p83 (forall @t111 (or @t102 @t110 @t109 (not @t106) @t108))) % 33.71/33.99 (assume @p84 (forall @t111 (or @t102 @t110 @t109 @t93 @t108))) % 33.71/33.99 (assume @p85 (forall @t27 (or @t48 @t113 (not (tptp.s_t @t24 @t15 @t17)) (tptp.s_t @t24 @t18 @t17) (tptp.s_t @t18 @t24 @t17)))) % 33.71/33.99 (assume @p86 (forall (@list @t19 @t16 @t114 @t99) (or @t102 (= @t114 @t19) (not (tptp.s_col @t19 @t16 @t114)) @t115 (tptp.s_col @t19 @t114 @t99)))) % 33.71/33.99 (assume @p87 (forall (@list @t19 @t16) (or @t102 (tptp.s_col @t19 @t16 @t19)))) % 33.71/33.99 (assume @p88 (forall (@list @t19 @t16 @t99) (or @t102 @t115 (tptp.s_col @t16 @t19 @t99)))) % 33.71/33.99 (assume @p89 (forall (@list @t15 @t17 @t19 @t16 @t99) (or @t48 @t102 (not (tptp.s_col @t19 @t16 @t15)) (not (tptp.s_col @t19 @t16 @t17)) @t115 (tptp.s_col @t15 @t17 @t99)))) % 33.71/33.99 (assume @p90 (forall (@list @t15 @t17 @t19 @t16 @t18 @t24 @t29) (or @t48 @t102 @t68 (not (tptp.s_col @t19 @t16 @t18)) (not (tptp.s_col @t15 @t17 @t24)) (not (tptp.s_col @t19 @t16 @t24)) (= @t18 @t24) (not (tptp.s_col @t15 @t17 @t29)) (tptp.s_col @t19 @t16 @t29)))) % 33.71/33.99 (assume @p91 (forall @t23 (or @t48 (not (tptp.s_col @t15 @t17 (tptp.pointOffLine @t15 @t17)))))) % 33.71/33.99 (assume @p92 (forall @t42 (or (not (tptp.sameside @t15 @t17 @t18)) (not (tptp.sameside @t32 @t34 @t31)) (not (tptp.s_e @t17 @t15 @t34 @t32)) @t35 @t33))) % 33.71/33.99 (assume @p93 (forall @t119 (or @t118 (tptp.s_m @t17 @t116 @t15)))) % 33.71/33.99 (assume @p94 (forall @t122 (or (not @t121) @t120))) % 33.71/33.99 (assume @p95 (forall @t122 (or @t121 (not @t120)))) % 33.71/33.99 (assume @p96 (forall (@list @t19 @t15) (tptp.s_m @t19 @t15 @t123))) % 33.71/33.99 (assume @p97 (forall (@list @t19 @t15 @t99 @t16) (or (not (tptp.s_m @t19 @t15 @t99)) @t124 (= @t99 @t16)))) % 33.71/33.99 (assume @p98 (forall (@list @t19 @t15 @t16) (or @t124 (= @t16 @t123)))) % 33.71/33.99 (assume @p99 (forall @t98 (= (tptp.s @t15 @t123) @t19))) % 33.71/33.99 (assume @p100 (forall (@list @t15 @t19 @t99 @t16) (or (not (= @t123 @t99)) (not (= @t125 @t99)) @t102))) % 33.71/33.99 (assume @p101 (forall (@list @t15 @t19 @t16) (or (not (= @t123 @t125)) @t102))) % 33.71/33.99 (assume @p102 (forall @t98 (or (not @t127) @t126))) % 33.71/33.99 (assume @p103 (forall @t98 (or @t127 (not @t126)))) % 33.71/33.99 (assume @p104 (forall (@list @t19 @t16 @t15) (tptp.s_e @t19 @t16 @t123 @t125))) % 33.71/33.99 (assume @p105 (forall @t111 (or (not @t130) @t129))) % 33.71/33.99 (assume @p106 (forall @t111 (or @t130 (not @t129)))) % 33.71/33.99 (assume @p107 (forall @t133 (or (not @t132) @t131))) % 33.71/33.99 (assume @p108 (forall @t133 (or @t132 (not @t131)))) % 33.71/33.99 (assume @p109 (forall (@list @t19 @t15 @t16 @t17) (or @t124 (not (tptp.s_m @t19 @t17 @t16)) @t48))) % 33.71/33.99 (assume @p110 (forall @t95 (or (not (= @t123 @t134)) @t48))) % 33.71/33.99 (assume @p111 (forall (@list @t15 @t17 @t19) (or (not (= (tptp.s @t15 @t134) (tptp.s @t17 @t123))) @t48))) % 33.71/33.99 (assume @p112 (forall @t119 (or (not (tptp.s_col @t15 @t116 @t17)) @t136 @t48 @t117))) % 33.71/33.99 (assume @p113 (forall (@list @t15 @t17 @t18 @t24 @t19) (or @t67 (= @t17 @t24) @t26 (not (tptp.s_e @t17 @t18 @t24 @t15)) (not (tptp.s_col @t15 @t19 @t18)) (not (tptp.s_col @t17 @t19 @t24)) (tptp.s_m @t15 @t19 @t18)))) % 33.71/33.99 (assume @p114 (forall @t144 (or @t143 @t140 (not (tptp.le @t18 @t32 @t18 @t137))))) % 33.71/33.99 (assume @p115 @t145) % 33.71/33.99 (assume @p116 (not @t158)) % 33.71/33.99 (assume @p117 (forall (@list @t15 @t17 @t32 @t31) (= @t64 (tptp.ext (tptp.ext @t31 @t32 tptp.alpha tptp.gamma) @t32 @t15 @t17)))) % 33.71/33.99 (assume @p118 (forall @t173 (and (or @t172 @t40) (or @t172 @t170) (or @t172 @t169) (or @t172 @t167) (or @t172 @t165) (or @t172 @t164) (or @t41 @t171 (not @t169) @t168 @t166 (not @t164) @t163)))) % 33.71/33.99 (assume @p119 (forall @t173 (and (or @t177 @t40) (or @t177 @t170) (or @t177 @t176) (or @t177 @t167) (or @t177 @t165) (or @t177 @t175) (or @t41 @t171 (not @t176) @t168 @t166 (not @t175) @t174)))) % 33.71/33.99 (assume @p120 (forall (@list @t32 @t137 @t179 @t34 @t141 @t178) (and (or @t184 @t183) (or @t184 @t182) (or @t184 @t181) (or (not @t183) (not @t182) (not @t181) @t180)))) % 33.71/33.99 (assume @p121 (forall @t47 (and (or @t68 @t40 @t185 @t112) (or @t67 @t41) (or @t67 (not @t185)) (or @t67 @t113)))) % 33.71/33.99 (assume @p122 (forall @t62 (and (or @t71 @t67) (or @t71 @t65) (or @t71 @t186) (or @t71 @t61) (or @t68 @t66 (not @t186) (not @t61) @t70)))) % 33.71/33.99 (assume @p123 (forall (@list @t15 @t17 @t18 @t24 @t2) (and (or @t79 (tptp.s_t @t18 @t76 @t24)) (or @t79 (tptp.s_e @t15 @t17 @t18 @t76)) (or (not (tptp.s_t @t18 @t2 @t24)) (not (tptp.s_e @t15 @t17 @t18 @t2)) @t78)))) % 33.71/33.99 (assume @p124 (forall @t95 (and @t94 @t92 (or @t90 @t103 @t187) (or @t105 @t88 (= tptp.xb @t19) @t83) (or (not @t187) @t88 @t87 @t83)))) % 33.71/33.99 (assume @p125 (forall @t119 (and (or @t118 @t188) (or @t118 @t135) (or (not @t188) @t136 @t117)))) % 33.71/33.99 (assume @p126 @t196) % 33.71/33.99 (assume @p127 true) % 33.71/33.99 (step @p128 :rule alpha_equiv :args (@t197 @t198 (@list (@var "BOUND_VARIABLE_9567" $$unsorted) (@var "BOUND_VARIABLE_9569" $$unsorted) (@var "BOUND_VARIABLE_9571" $$unsorted) (@var "BOUND_VARIABLE_9573" $$unsorted) (@var "BOUND_VARIABLE_9575" $$unsorted) (@var "BOUND_VARIABLE_9577" $$unsorted) (@var "BOUND_VARIABLE_9579" $$unsorted)))) % 33.71/33.99 (step @p129 :rule alpha_equiv :args (@t199 @t198 (@list (@var "BOUND_VARIABLE_9547" $$unsorted) (@var "BOUND_VARIABLE_9549" $$unsorted) (@var "BOUND_VARIABLE_9551" $$unsorted) (@var "BOUND_VARIABLE_9553" $$unsorted) (@var "BOUND_VARIABLE_9555" $$unsorted) (@var "BOUND_VARIABLE_9557" $$unsorted) (@var "BOUND_VARIABLE_9559" $$unsorted)))) % 33.71/33.99 (step @p130 :rule alpha_equiv :args (@t200 @t198 (@list (@var "BOUND_VARIABLE_9527" $$unsorted) (@var "BOUND_VARIABLE_9529" $$unsorted) (@var "BOUND_VARIABLE_9531" $$unsorted) (@var "BOUND_VARIABLE_9533" $$unsorted) (@var "BOUND_VARIABLE_9535" $$unsorted) (@var "BOUND_VARIABLE_9537" $$unsorted) (@var "BOUND_VARIABLE_9539" $$unsorted)))) % 33.71/33.99 (step @p131 :rule alpha_equiv :args (@t201 @t198 (@list (@var "BOUND_VARIABLE_9507" $$unsorted) (@var "BOUND_VARIABLE_9509" $$unsorted) (@var "BOUND_VARIABLE_9511" $$unsorted) (@var "BOUND_VARIABLE_9513" $$unsorted) (@var "BOUND_VARIABLE_9515" $$unsorted) (@var "BOUND_VARIABLE_9517" $$unsorted) (@var "BOUND_VARIABLE_9519" $$unsorted)))) % 33.71/33.99 (step @p132 :rule alpha_equiv :args (@t202 @t198 (@list (@var "BOUND_VARIABLE_9487" $$unsorted) (@var "BOUND_VARIABLE_9489" $$unsorted) (@var "BOUND_VARIABLE_9491" $$unsorted) (@var "BOUND_VARIABLE_9493" $$unsorted) (@var "BOUND_VARIABLE_9495" $$unsorted) (@var "BOUND_VARIABLE_9497" $$unsorted) (@var "BOUND_VARIABLE_9499" $$unsorted)))) % 33.71/33.99 (step @p133 :rule alpha_equiv :args (@t203 @t198 (@list (@var "BOUND_VARIABLE_9467" $$unsorted) (@var "BOUND_VARIABLE_9469" $$unsorted) (@var "BOUND_VARIABLE_9471" $$unsorted) (@var "BOUND_VARIABLE_9473" $$unsorted) (@var "BOUND_VARIABLE_9475" $$unsorted) (@var "BOUND_VARIABLE_9477" $$unsorted) (@var "BOUND_VARIABLE_9479" $$unsorted)))) % 33.71/33.99 (step @p134 :rule alpha_equiv :args (@t204 @t198 (@list (@var "BOUND_VARIABLE_9447" $$unsorted) (@var "BOUND_VARIABLE_9449" $$unsorted) (@var "BOUND_VARIABLE_9451" $$unsorted) (@var "BOUND_VARIABLE_9453" $$unsorted) (@var "BOUND_VARIABLE_9455" $$unsorted) (@var "BOUND_VARIABLE_9457" $$unsorted) (@var "BOUND_VARIABLE_9459" $$unsorted)))) % 33.71/33.99 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131 @p130 @p129 @p128) :args (@t205)) % 33.71/33.99 (step @p136 :rule quant-miniscope-and :args ((= @t196 @t205))) % 33.71/33.99 (step @p137 :rule trans :premises (@p136 @p135)) % 33.71/33.99 (step @p138 :rule eq_resolve :premises (@p126 @p137)) % 33.71/33.99 (step @p139 :rule and_elim :premises (@p138) :args (6)) % 33.71/33.99 (step @p140 :rule instantiate :premises (@p139) :args (@t213)) % 33.71/33.99 (step @p141 :rule skolemize :premises (@p116)) % 33.71/33.99 (step @p142 :rule bool-double-not-elim :args (@t214)) % 33.71/33.99 (step @p143 :rule refl :args (@t227)) % 33.71/33.99 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t227 (not @t216)))) % 33.71/33.99 (step @p145 :rule cnf_or_neg :args (@t227 5)) % 33.71/33.99 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 33.71/33.99 (step @p147 :rule reordering :premises (@p146) :args ((or @t214 @t227))) % 33.71/33.99 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t214 @t228 @t229)) % 33.71/33.99 (step @p149 :rule bool-double-not-elim :args (@t217)) % 33.71/33.99 (step @p150 :rule nary_cong :premises (@p143 @p149) :args ((or @t227 (not @t218)))) % 33.71/33.99 (step @p151 :rule cnf_or_neg :args (@t227 4)) % 33.71/33.99 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 33.71/33.99 (step @p153 :rule reordering :premises (@p152) :args ((or @t217 @t227))) % 33.71/33.99 (step @p154 :rule chain_m_resolution :premises (@p153 @p141) :args (@t217 @t228 @t229)) % 33.71/33.99 (step @p155 :rule bool-double-not-elim :args (@t219)) % 33.71/33.99 (step @p156 :rule nary_cong :premises (@p143 @p155) :args ((or @t227 (not @t220)))) % 33.71/33.99 (step @p157 :rule cnf_or_neg :args (@t227 3)) % 33.71/33.99 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 33.71/33.99 (step @p159 :rule reordering :premises (@p158) :args ((or @t219 @t227))) % 33.71/33.99 (step @p160 :rule chain_m_resolution :premises (@p159 @p141) :args (@t219 @t228 @t229)) % 33.71/33.99 (step @p161 :rule bool-double-not-elim :args (@t221)) % 33.71/33.99 (step @p162 :rule nary_cong :premises (@p143 @p161) :args ((or @t227 (not @t222)))) % 33.71/33.99 (step @p163 :rule cnf_or_neg :args (@t227 2)) % 33.71/33.99 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 33.71/33.99 (step @p165 :rule reordering :premises (@p164) :args ((or @t221 @t227))) % 33.71/33.99 (step @p166 :rule chain_m_resolution :premises (@p165 @p141) :args (@t221 @t228 @t229)) % 33.71/33.99 (step @p167 :rule bool-double-not-elim :args (@t223)) % 33.71/33.99 (step @p168 :rule nary_cong :premises (@p143 @p167) :args ((or @t227 (not @t224)))) % 33.71/33.99 (step @p169 :rule cnf_or_neg :args (@t227 1)) % 33.71/33.99 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 33.71/33.99 (step @p171 :rule reordering :premises (@p170) :args ((or @t223 @t227))) % 33.71/33.99 (step @p172 :rule chain_m_resolution :premises (@p171 @p141) :args (@t223 @t228 @t229)) % 33.71/33.99 (step @p173 :rule bool-double-not-elim :args (@t225)) % 33.71/33.99 (step @p174 :rule nary_cong :premises (@p143 @p173) :args ((or @t227 (not @t226)))) % 33.71/33.99 (step @p175 :rule cnf_or_neg :args (@t227 0)) % 33.71/33.99 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 33.71/33.99 (step @p177 :rule reordering :premises (@p176) :args ((or @t225 @t227))) % 33.71/33.99 (step @p178 :rule chain_m_resolution :premises (@p177 @p141) :args (@t225 @t228 @t229)) % 33.71/33.99 (step @p179 :rule cnf_or_pos :args (@t231)) % 33.71/33.99 (step @p180 :rule reordering :premises (@p179) :args ((or @t226 @t224 @t222 @t220 @t218 @t216 @t230 (not @t231)))) % 33.71/33.99 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p172 @p166 @p160 @p154 @p148 @p140) :args (@t230 (@list false false false false false false false) (@list @t225 @t223 @t221 @t219 @t217 @t214 @t231))) % 33.71/33.99 (step @p182 :rule cnf_or_neg :args (@t227 6)) % 33.71/33.99 (step @p183 :rule chain_m_resolution :premises (@p182 @p141) :args ((not @t215) @t228 @t229)) % 33.71/33.99 (step @p184 :rule cnf_or_pos :args (@t233)) % 33.71/33.99 (step @p185 :rule reordering :premises (@p184) :args ((or @t215 @t232 @t234))) % 33.71/33.99 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p181) :args (@t234 @t235 (@list @t215 @t230))) % 33.71/33.99 (assume-push @p193 @t145) % 33.71/33.99 (step @p188 :rule instantiate :premises (@p115) :args (@t213)) % 33.71/33.99 (step-pop @p194 :rule scope :premises (@p188)) % 33.71/33.99 (step @p189 :rule process_scope :premises (@p194) :args (@t233)) % 33.71/33.99 (step @p191 :rule implies_elim :premises (@p189)) % 33.71/33.99 (step @p192 false :rule chain_m_resolution :premises (@p191 @p186 @p115) :args (false @t235 (@list @t233 @t145))) % 33.71/33.99 ) % 33.71/33.99 % SZS output end Proof % 33.71/33.99 % cvc5 exiting %------------------------------------------------------------------------------