%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO498+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO498+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 : Mon Jun 1 23:54:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.s_kf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.xb $$unsorted) % 0.45/0.66 (declare-const tptp.s_m (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.pointOffLine (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.beta $$unsorted) % 0.45/0.66 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.alpha $$unsorted) % 0.45/0.66 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.gamma $$unsorted) % 0.45/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t3 () (@list @t1 @t2)) % 0.45/0.66 (define @t4 () (@var "V2" $$unsorted)) % 0.45/0.66 (define @t5 () (@var "Z2" $$unsorted)) % 0.45/0.66 (define @t6 () (@var "V" $$unsorted)) % 0.45/0.66 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t8 () (= @t1 @t2)) % 0.45/0.66 (define @t9 () (@var "W" $$unsorted)) % 0.45/0.66 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 0.45/0.66 (define @t11 () (@var "V1" $$unsorted)) % 0.45/0.66 (define @t12 () (@var "Z1" $$unsorted)) % 0.45/0.66 (define @t13 () (@var "Y1" $$unsorted)) % 0.45/0.66 (define @t14 () (@var "X1" $$unsorted)) % 0.45/0.66 (define @t15 () (@var "Xa" $$unsorted)) % 0.45/0.66 (define @t16 () (@var "Xq" $$unsorted)) % 0.45/0.66 (define @t17 () (@var "Xb" $$unsorted)) % 0.45/0.66 (define @t18 () (@var "Xc" $$unsorted)) % 0.45/0.66 (define @t19 () (@var "Xp" $$unsorted)) % 0.45/0.66 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 0.45/0.66 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 0.45/0.66 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 0.45/0.66 (define @t23 () (@list @t15 @t17)) % 0.45/0.66 (define @t24 () (@var "Xd" $$unsorted)) % 0.45/0.66 (define @t25 () (tptp.s_e @t15 @t17 @t18 @t24)) % 0.45/0.66 (define @t26 () (not @t25)) % 0.45/0.66 (define @t27 () (@list @t15 @t17 @t18 @t24)) % 0.45/0.66 (define @t28 () (@var "Xf" $$unsorted)) % 0.45/0.66 (define @t29 () (@var "Xe" $$unsorted)) % 0.45/0.66 (define @t30 () (@list @t15 @t17 @t18 @t24 @t29 @t28)) % 0.45/0.66 (define @t31 () (@var "Xc1" $$unsorted)) % 0.45/0.66 (define @t32 () (@var "Xa1" $$unsorted)) % 0.45/0.66 (define @t33 () (tptp.s_e @t15 @t18 @t32 @t31)) % 0.45/0.66 (define @t34 () (@var "Xb1" $$unsorted)) % 0.45/0.66 (define @t35 () (not (tptp.s_e @t17 @t18 @t34 @t31))) % 0.45/0.66 (define @t36 () (tptp.s_e @t15 @t17 @t32 @t34)) % 0.45/0.66 (define @t37 () (not @t36)) % 0.45/0.66 (define @t38 () (tptp.s_t @t32 @t34 @t31)) % 0.45/0.66 (define @t39 () (not @t38)) % 0.45/0.66 (define @t40 () (tptp.s_t @t15 @t17 @t18)) % 0.45/0.66 (define @t41 () (not @t40)) % 0.45/0.66 (define @t42 () (@list @t15 @t17 @t18 @t32 @t34 @t31)) % 0.45/0.66 (define @t43 () (= @t17 @t18)) % 0.45/0.66 (define @t44 () (@var "XC" $$unsorted)) % 0.45/0.66 (define @t45 () (@var "XA" $$unsorted)) % 0.45/0.66 (define @t46 () (@var "XB" $$unsorted)) % 0.45/0.66 (define @t47 () (@list @t15 @t17 @t18)) % 0.45/0.66 (define @t48 () (= @t15 @t17)) % 0.45/0.66 (define @t49 () (tptp.s_t @t17 @t18 @t24)) % 0.45/0.66 (define @t50 () (not @t49)) % 0.45/0.66 (define @t51 () (tptp.s_t @t15 @t17 @t24)) % 0.45/0.66 (define @t52 () (not @t51)) % 0.45/0.66 (define @t53 () (@list @t15 @t17 @t24 @t18)) % 0.45/0.66 (define @t54 () (tptp.s_t @t15 @t18 @t24)) % 0.45/0.66 (define @t55 () (not @t54)) % 0.45/0.66 (define @t56 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 0.45/0.66 (define @t57 () (tptp.crossbar @t15 @t17 @t18 @t32 @t34 @t19)) % 0.45/0.66 (define @t58 () (not (tptp.s_t @t15 @t19 @t32))) % 0.45/0.66 (define @t59 () (not (tptp.s_t @t32 @t34 @t18))) % 0.45/0.66 (define @t60 () (@var "Xd1" $$unsorted)) % 0.45/0.66 (define @t61 () (tptp.s_e @t17 @t24 @t34 @t60)) % 0.45/0.66 (define @t62 () (@list @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 0.45/0.66 (define @t63 () (not @t33)) % 0.45/0.66 (define @t64 () (tptp.insert @t15 @t17 @t32 @t31)) % 0.45/0.66 (define @t65 () (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 @t31)) % 0.45/0.66 (define @t66 () (not @t65)) % 0.45/0.66 (define @t67 () (tptp.s_col @t15 @t17 @t18)) % 0.45/0.66 (define @t68 () (not @t67)) % 0.45/0.66 (define @t69 () (tptp.s_e @t18 @t24 @t31 @t60)) % 0.45/0.66 (define @t70 () (tptp.s_fs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 0.45/0.66 (define @t71 () (not @t70)) % 0.45/0.66 (define @t72 () (= @t18 @t31)) % 0.45/0.66 (define @t73 () (not (tptp.s_e @t17 @t18 @t17 @t31))) % 0.45/0.66 (define @t74 () (not (tptp.s_e @t15 @t18 @t15 @t31))) % 0.45/0.66 (define @t75 () (tptp.s_t @t15 @t18 @t17)) % 0.45/0.66 (define @t76 () (tptp.insert @t15 @t17 @t18 @t24)) % 0.45/0.66 (define @t77 () (tptp.ins @t18 @t24 @t15 @t17)) % 0.45/0.66 (define @t78 () (tptp.le @t15 @t17 @t18 @t24)) % 0.45/0.66 (define @t79 () (not @t78)) % 0.45/0.66 (define @t80 () (tptp.le @t18 @t24 @t15 @t17)) % 0.45/0.66 (define @t81 () (tptp.le @t15 @t17 @t15 @t18)) % 0.45/0.66 (define @t82 () (tptp.le @t17 @t18 @t15 @t18)) % 0.45/0.66 (define @t83 () (tptp.sameside @t15 @t19 @t17)) % 0.45/0.66 (define @t84 () (tptp.s_t @t17 @t19 @t18)) % 0.45/0.66 (define @t85 () (not @t84)) % 0.45/0.66 (define @t86 () (= @t18 @t19)) % 0.45/0.66 (define @t87 () (= @t17 @t19)) % 0.45/0.66 (define @t88 () (= @t15 @t19)) % 0.45/0.66 (define @t89 () (@list @t15 @t19 @t17 @t18)) % 0.45/0.66 (define @t90 () (not @t83)) % 0.45/0.66 (define @t91 () (tptp.c63 @t15 @t19 @t17)) % 0.45/0.66 (define @t92 () (or @t90 (not @t87))) % 0.45/0.66 (define @t93 () (not @t88)) % 0.45/0.66 (define @t94 () (or @t90 @t93)) % 0.45/0.66 (define @t95 () (@list @t15 @t19 @t17)) % 0.45/0.66 (define @t96 () (tptp.s_t @t15 @t19 @t17)) % 0.45/0.66 (define @t97 () (tptp.s_col @t15 @t19 @t17)) % 0.45/0.66 (define @t98 () (@list @t15 @t19)) % 0.45/0.66 (define @t99 () (@var "Xr" $$unsorted)) % 0.45/0.66 (define @t100 () (tptp.insert @t17 @t18 @t15 @t99)) % 0.45/0.66 (define @t101 () (= @t99 @t15)) % 0.45/0.66 (define @t102 () (= @t19 @t16)) % 0.45/0.66 (define @t103 () (tptp.s_t @t19 @t15 @t17)) % 0.45/0.66 (define @t104 () (tptp.le @t19 @t15 @t19 @t17)) % 0.45/0.66 (define @t105 () (not @t103)) % 0.45/0.66 (define @t106 () (tptp.sameside @t15 @t19 @t99)) % 0.45/0.66 (define @t107 () (tptp.sameside @t15 @t19 @t16)) % 0.45/0.66 (define @t108 () (tptp.s_col @t15 @t19 @t16)) % 0.45/0.66 (define @t109 () (not (tptp.s_t @t16 @t19 @t99))) % 0.45/0.66 (define @t110 () (= @t19 @t99)) % 0.45/0.66 (define @t111 () (@list @t19 @t16 @t99 @t15)) % 0.45/0.66 (define @t112 () (tptp.s_t @t18 @t15 @t17)) % 0.45/0.66 (define @t113 () (not @t112)) % 0.45/0.66 (define @t114 () (@var "Xcs" $$unsorted)) % 0.45/0.66 (define @t115 () (not (tptp.s_col @t19 @t16 @t99))) % 0.45/0.66 (define @t116 () (@var "Xm" $$unsorted)) % 0.45/0.66 (define @t117 () (tptp.s_m @t15 @t116 @t17)) % 0.45/0.66 (define @t118 () (not @t117)) % 0.45/0.66 (define @t119 () (@list @t15 @t116 @t17)) % 0.45/0.66 (define @t120 () (= @t116 @t15)) % 0.45/0.66 (define @t121 () (tptp.s_m @t15 @t116 @t15)) % 0.45/0.66 (define @t122 () (@list @t15 @t116)) % 0.45/0.66 (define @t123 () (tptp.s @t15 @t19)) % 0.45/0.66 (define @t124 () (not (tptp.s_m @t19 @t15 @t16))) % 0.45/0.66 (define @t125 () (not (tptp.s_m @t19 @t15 @t99))) % 0.45/0.66 (define @t126 () (or @t125 @t124 (= @t99 @t16))) % 0.45/0.66 (define @t127 () (forall (@list @t19 @t15 @t99 @t16) @t126)) % 0.45/0.66 (define @t128 () (tptp.s @t15 @t16)) % 0.45/0.66 (define @t129 () (not (= @t128 @t99))) % 0.45/0.66 (define @t130 () (not (= @t123 @t99))) % 0.45/0.66 (define @t131 () (or @t130 @t129 @t102)) % 0.45/0.66 (define @t132 () (@list @t15 @t19 @t99 @t16)) % 0.45/0.66 (define @t133 () (forall @t132 @t131)) % 0.45/0.66 (define @t134 () (not @t133)) % 0.45/0.66 (define @t135 () (@var "Zd" $$unsorted)) % 0.45/0.66 (define @t136 () (@var "Zc" $$unsorted)) % 0.45/0.66 (define @t137 () (@var "Zb" $$unsorted)) % 0.45/0.66 (define @t138 () (@var "Za" $$unsorted)) % 0.45/0.66 (define @t139 () (tptp.s_afs @t15 @t17 @t18 @t24 @t138 @t137 @t136 @t135)) % 0.45/0.66 (define @t140 () (tptp.s_e @t17 @t24 @t137 @t135)) % 0.45/0.66 (define @t141 () (tptp.s_e @t15 @t24 @t138 @t135)) % 0.45/0.66 (define @t142 () (not @t141)) % 0.45/0.66 (define @t143 () (tptp.s_e @t17 @t18 @t137 @t136)) % 0.45/0.66 (define @t144 () (not @t143)) % 0.45/0.66 (define @t145 () (tptp.s_e @t15 @t17 @t138 @t137)) % 0.45/0.66 (define @t146 () (tptp.s_t @t138 @t137 @t136)) % 0.45/0.66 (define @t147 () (not @t146)) % 0.45/0.66 (define @t148 () (not @t139)) % 0.45/0.66 (define @t149 () (@list @t15 @t17 @t18 @t24 @t138 @t137 @t136 @t135)) % 0.45/0.66 (define @t150 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t138 @t137 @t136 @t135)) % 0.45/0.66 (define @t151 () (tptp.s_e @t18 @t24 @t136 @t135)) % 0.45/0.66 (define @t152 () (tptp.s_e @t15 @t18 @t138 @t136)) % 0.45/0.66 (define @t153 () (not @t150)) % 0.45/0.66 (define @t154 () (@var "Xb3" $$unsorted)) % 0.45/0.66 (define @t155 () (@var "Xb2" $$unsorted)) % 0.45/0.66 (define @t156 () (@var "Xa3" $$unsorted)) % 0.45/0.66 (define @t157 () (@var "Xa2" $$unsorted)) % 0.45/0.66 (define @t158 () (tptp.s_e3 @t32 @t157 @t156 @t34 @t155 @t154)) % 0.45/0.66 (define @t159 () (tptp.s_e @t157 @t156 @t155 @t154)) % 0.45/0.66 (define @t160 () (tptp.s_e @t32 @t156 @t34 @t154)) % 0.45/0.66 (define @t161 () (tptp.s_e @t32 @t157 @t34 @t155)) % 0.45/0.66 (define @t162 () (not @t158)) % 0.45/0.66 (define @t163 () (tptp.s_t @t17 @t18 @t15)) % 0.45/0.66 (define @t164 () (tptp.s_e @t15 @t24 @t32 @t60)) % 0.45/0.66 (define @t165 () (tptp.s_t @t19 @t17 @t15)) % 0.45/0.66 (define @t166 () (tptp.s_e @t116 @t15 @t116 @t17)) % 0.45/0.66 (define @t167 () (tptp.s_t @t15 @t116 @t17)) % 0.45/0.66 (define @t168 () (@var "Xm2" $$unsorted)) % 0.45/0.66 (define @t169 () (@var "Xm1" $$unsorted)) % 0.45/0.66 (define @t170 () (tptp.s_kf @t32 @t169 @t34 @t18 @t155 @t168 @t157)) % 0.45/0.66 (define @t171 () (tptp.s_m @t157 @t168 @t155)) % 0.45/0.66 (define @t172 () (tptp.s_m @t32 @t169 @t34)) % 0.45/0.66 (define @t173 () (tptp.s_e @t18 @t157 @t18 @t155)) % 0.45/0.66 (define @t174 () (tptp.s_e @t18 @t32 @t18 @t34)) % 0.45/0.66 (define @t175 () (tptp.s_t @t34 @t18 @t155)) % 0.45/0.66 (define @t176 () (tptp.s_t @t32 @t18 @t157)) % 0.45/0.66 (define @t177 () (not @t170)) % 0.45/0.66 (define @t178 () (not (= @t123 @t128))) % 0.45/0.66 (define @t179 () (or @t178 @t102)) % 0.45/0.66 (define @t180 () (@list @t15 @t19 @t16)) % 0.45/0.66 (define @t181 () (forall @t180 @t179)) % 0.45/0.66 (define @t182 () (@quantifiers_skolemize @t181 1)) % 0.45/0.66 (define @t183 () (@quantifiers_skolemize @t181 2)) % 0.45/0.66 (define @t184 () (@quantifiers_skolemize @t181 0)) % 0.45/0.66 (define @t185 () (tptp.s @t184 @t183)) % 0.45/0.66 (define @t186 () (tptp.s_m @t185 @t184 @t183)) % 0.45/0.66 (define @t187 () (tptp.s_m @t183 @t184 @t185)) % 0.45/0.66 (define @t188 () (not @t187)) % 0.45/0.66 (define @t189 () (or @t188 @t186)) % 0.45/0.66 (define @t190 () (@list false false)) % 0.45/0.66 (define @t191 () (not (= @t123 @t123))) % 0.45/0.66 (define @t192 () (or @t191 @t178 @t102)) % 0.45/0.66 (define @t193 () (not (= @t99 @t128))) % 0.45/0.66 (define @t194 () (not (= @t99 @t123))) % 0.45/0.66 (define @t195 () (or @t194 @t194 @t193 @t102)) % 0.45/0.66 (define @t196 () (@list @t99)) % 0.45/0.66 (define @t197 () (or @t194 @t193 @t102)) % 0.45/0.66 (define @t198 () (forall @t196 @t197)) % 0.45/0.66 (define @t199 () (forall @t180 @t198)) % 0.45/0.66 (define @t200 () (forall (@list @t15 @t19 @t16 @t99) @t197)) % 0.45/0.66 (define @t201 () (= @t182 @t183)) % 0.45/0.66 (define @t202 () (tptp.s @t184 @t182)) % 0.45/0.66 (define @t203 () (= @t202 @t185)) % 0.45/0.66 (define @t204 () (not @t203)) % 0.45/0.66 (define @t205 () (or @t204 @t201)) % 0.45/0.66 (define @t206 () (@list true)) % 0.45/0.66 (define @t207 () (@list @t205)) % 0.45/0.66 (define @t208 () (not (tptp.s_m @t185 @t184 @t182))) % 0.45/0.66 (define @t209 () (not @t186)) % 0.45/0.66 (define @t210 () (or @t209 @t208 @t201)) % 0.45/0.66 (define @t211 () (tptp.s_m @t202 @t184 @t182)) % 0.45/0.66 (define @t212 () (tptp.s_m @t182 @t184 @t202)) % 0.45/0.66 (define @t213 () (not @t212)) % 0.45/0.66 (define @t214 () (or @t213 @t211)) % 0.45/0.66 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 0.45/0.66 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 0.45/0.66 (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))))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 0.45/0.66 (assume @p10 (forall @t27 (or @t26 (tptp.s_e @t18 @t24 @t15 @t17)))) % 0.45/0.66 (assume @p11 (forall @t30 (or @t26 (not (tptp.s_e @t18 @t24 @t29 @t28)) (tptp.s_e @t15 @t17 @t29 @t28)))) % 0.45/0.66 (assume @p12 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t18 @t24)))) % 0.45/0.66 (assume @p13 (forall @t27 (or @t26 (tptp.s_e @t15 @t17 @t24 @t18)))) % 0.45/0.66 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 0.45/0.66 (assume @p15 (forall @t42 (or @t41 @t39 @t37 @t35 @t33))) % 0.45/0.66 (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))))) % 0.45/0.66 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t43))) % 0.45/0.66 (assume @p18 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t24 @t18)))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 0.45/0.66 (assume @p21 (forall @t47 (or @t41 (tptp.s_t @t18 @t17 @t15)))) % 0.45/0.66 (assume @p22 (forall (@list @t32 @t34) (tptp.s_t @t32 @t32 @t34))) % 0.45/0.66 (assume @p23 (forall @t47 (or @t41 (not (tptp.s_t @t17 @t15 @t18)) @t48))) % 0.45/0.66 (assume @p24 (forall @t53 (or @t52 @t50 @t40))) % 0.45/0.66 (assume @p25 (forall @t27 (or @t41 @t55 @t49))) % 0.45/0.66 (assume @p26 (forall @t27 (or @t41 @t50 @t43 @t54))) % 0.45/0.66 (assume @p27 (forall @t53 (or @t52 @t50 @t54))) % 0.45/0.66 (assume @p28 (forall @t27 (or @t41 @t55 @t51))) % 0.45/0.66 (assume @p29 (forall @t27 (or @t41 @t50 @t43 @t51))) % 0.45/0.66 (assume @p30 (not (= tptp.alpha tptp.beta))) % 0.45/0.66 (assume @p31 (not (= tptp.beta tptp.gamma))) % 0.45/0.66 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 0.45/0.66 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t56))) % 0.45/0.66 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t56)))) % 0.45/0.66 (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))))) % 0.45/0.66 (assume @p36 (forall @t62 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) @t61))) % 0.45/0.66 (assume @p37 (forall @t42 (or @t41 @t39 @t63 @t35 @t36))) % 0.45/0.66 (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))))) % 0.45/0.66 (assume @p39 (forall @t42 (or @t41 @t66 @t38))) % 0.45/0.66 (assume @p40 (forall @t47 (or @t68 (tptp.s_col @t17 @t18 @t15)))) % 0.45/0.66 (assume @p41 (forall @t47 (or @t68 (tptp.s_col @t18 @t15 @t17)))) % 0.45/0.66 (assume @p42 (forall @t47 (or @t68 (tptp.s_col @t18 @t17 @t15)))) % 0.45/0.66 (assume @p43 (forall @t47 (or @t68 (tptp.s_col @t17 @t15 @t18)))) % 0.45/0.66 (assume @p44 (forall @t47 (or @t68 (tptp.s_col @t15 @t18 @t17)))) % 0.45/0.66 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 0.45/0.66 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 0.45/0.66 (assume @p47 (forall @t42 (or @t68 @t66 (tptp.s_col @t32 @t34 @t31)))) % 0.45/0.66 (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))))) % 0.45/0.66 (assume @p49 (forall @t62 (or @t71 @t48 @t69))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p51 (forall (@list @t15 @t17 @t18 @t31) (or @t48 @t68 @t74 @t73 @t72))) % 0.45/0.66 (assume @p52 (forall (@list @t15 @t18 @t17 @t31) (or (not @t75) @t74 @t73 @t72))) % 0.45/0.66 (assume @p53 (forall @t27 (or @t48 @t41 @t52 @t54 (tptp.s_t @t15 @t24 @t18)))) % 0.45/0.66 (assume @p54 (forall @t27 (or @t48 @t41 @t52 @t49 (tptp.s_t @t17 @t24 @t18)))) % 0.45/0.66 (assume @p55 (forall @t53 (or @t52 @t55 @t40 @t75))) % 0.45/0.66 (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)))))) % 0.45/0.66 (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))))) % 0.45/0.66 (assume @p58 (forall @t62 (or @t79 @t37 (not @t69) (tptp.le @t32 @t34 @t31 @t60)))) % 0.45/0.66 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 0.45/0.66 (assume @p60 (forall @t30 (or @t79 (not (tptp.le @t18 @t24 @t29 @t28)) (tptp.le @t15 @t17 @t29 @t28)))) % 0.45/0.66 (assume @p61 (forall @t27 (or @t79 (not @t80) @t25))) % 0.45/0.66 (assume @p62 (forall @t27 (or @t78 @t80))) % 0.45/0.66 (assume @p63 (forall (@list @t15 @t18 @t24) (tptp.le @t15 @t15 @t18 @t24))) % 0.45/0.66 (assume @p64 (forall @t47 (or @t68 @t41 @t81))) % 0.45/0.66 (assume @p65 (forall @t47 (or @t68 @t41 @t82))) % 0.45/0.66 (assume @p66 (forall @t47 (or @t41 (not (tptp.s_e @t15 @t18 @t15 @t17)) (= @t18 @t17)))) % 0.45/0.66 (assume @p67 (forall @t47 (or @t68 @t40 (not @t81) (not @t82)))) % 0.45/0.66 (assume @p68 (forall @t89 (or @t88 @t87 @t86 @t22 @t85 @t83))) % 0.45/0.66 (assume @p69 (forall @t89 (or @t88 @t87 @t86 @t22 @t84 @t90))) % 0.45/0.66 (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))))) % 0.45/0.66 (assume @p71 (forall @t89 (or @t83 @t88 @t87 @t86 @t22 @t85))) % 0.45/0.66 (assume @p72 (forall @t95 (and (or @t90 @t97) (or @t90 (not @t96))))) % 0.45/0.66 (assume @p73 (forall @t95 (or @t83 (not @t97) @t96))) % 0.45/0.66 (assume @p74 (forall @t98 (or @t88 (tptp.sameside @t15 @t19 @t15)))) % 0.45/0.66 (assume @p75 (forall @t95 (or @t90 (tptp.sameside @t17 @t19 @t15)))) % 0.45/0.66 (assume @p76 (forall @t89 (or @t90 (not (tptp.sameside @t17 @t19 @t18)) (tptp.sameside @t15 @t19 @t18)))) % 0.45/0.66 (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))))) % 0.45/0.66 (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))) % 0.45/0.66 (assume @p79 (forall @t95 (or @t90 (not @t104) @t103))) % 0.45/0.66 (assume @p80 (forall @t95 (or @t90 @t104 @t105))) % 0.45/0.66 (assume @p81 (forall @t111 (or @t102 @t110 @t109 (not @t108) @t88 @t107 @t106))) % 0.45/0.66 (assume @p82 (forall @t111 (or @t102 @t110 @t109 (not @t107) @t108))) % 0.45/0.66 (assume @p83 (forall @t111 (or @t102 @t110 @t109 (not @t106) @t108))) % 0.45/0.66 (assume @p84 (forall @t111 (or @t102 @t110 @t109 @t93 @t108))) % 0.45/0.66 (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)))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p87 (forall (@list @t19 @t16) (or @t102 (tptp.s_col @t19 @t16 @t19)))) % 0.45/0.66 (assume @p88 (forall (@list @t19 @t16 @t99) (or @t102 @t115 (tptp.s_col @t16 @t19 @t99)))) % 0.45/0.66 (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)))) % 0.45/0.66 (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)))) % 0.45/0.66 (assume @p91 (forall @t23 (or @t48 (not (tptp.s_col @t15 @t17 (tptp.pointOffLine @t15 @t17)))))) % 0.45/0.66 (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))) % 0.45/0.66 (assume @p93 (forall @t119 (or @t118 (tptp.s_m @t17 @t116 @t15)))) % 0.45/0.66 (assume @p94 (forall @t122 (or (not @t121) @t120))) % 0.45/0.66 (assume @p95 (forall @t122 (or @t121 (not @t120)))) % 0.45/0.66 (assume @p96 (forall (@list @t19 @t15) (tptp.s_m @t19 @t15 @t123))) % 0.45/0.66 (assume @p97 @t127) % 0.45/0.66 (assume @p98 (forall (@list @t19 @t15 @t16) (or @t124 (= @t16 @t123)))) % 0.45/0.66 (assume @p99 (forall @t98 (= (tptp.s @t15 @t123) @t19))) % 0.45/0.66 (assume @p100 @t134) % 0.45/0.66 (assume @p101 (forall (@list @t15 @t17 @t32 @t31) (= @t64 (tptp.ext (tptp.ext @t31 @t32 tptp.alpha tptp.gamma) @t32 @t15 @t17)))) % 0.45/0.66 (assume @p102 (forall @t149 (and (or @t148 @t40) (or @t148 @t146) (or @t148 @t145) (or @t148 @t143) (or @t148 @t141) (or @t148 @t140) (or @t41 @t147 (not @t145) @t144 @t142 (not @t140) @t139)))) % 0.45/0.66 (assume @p103 (forall @t149 (and (or @t153 @t40) (or @t153 @t146) (or @t153 @t152) (or @t153 @t143) (or @t153 @t141) (or @t153 @t151) (or @t41 @t147 (not @t152) @t144 @t142 (not @t151) @t150)))) % 0.45/0.66 (assume @p104 (forall (@list @t32 @t157 @t156 @t34 @t155 @t154) (and (or @t162 @t161) (or @t162 @t160) (or @t162 @t159) (or (not @t161) (not @t160) (not @t159) @t158)))) % 0.45/0.66 (assume @p105 (forall @t47 (and (or @t68 @t40 @t163 @t112) (or @t67 @t41) (or @t67 (not @t163)) (or @t67 @t113)))) % 0.45/0.66 (assume @p106 (forall @t62 (and (or @t71 @t67) (or @t71 @t65) (or @t71 @t164) (or @t71 @t61) (or @t68 @t66 (not @t164) (not @t61) @t70)))) % 0.45/0.66 (assume @p107 (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)))) % 0.45/0.66 (assume @p108 (forall @t95 (and @t94 @t92 (or @t90 @t103 @t165) (or @t105 @t88 (= tptp.xb @t19) @t83) (or (not @t165) @t88 @t87 @t83)))) % 0.45/0.66 (assume @p109 (forall @t119 (and (or @t118 @t167) (or @t118 @t166) (or (not @t167) (not @t166) @t117)))) % 0.45/0.66 (assume @p110 (forall (@list @t32 @t169 @t34 @t18 @t155 @t168 @t157) (and (or @t177 @t176) (or @t177 @t175) (or @t177 @t174) (or @t177 @t173) (or @t177 @t172) (or @t177 @t171) (or (not @t176) (not @t175) (not @t174) (not @t173) (not @t172) (not @t171) @t170)))) % 0.45/0.66 (assume @p111 true) % 0.45/0.66 (step @p112 :rule evaluate :args ((= true false))) % 0.45/0.66 (step @p113 :rule eq-symm :args (@t99 @t16)) % 0.45/0.66 (step @p114 :rule refl :args (@t124)) % 0.45/0.66 (step @p115 :rule refl :args (@t125)) % 0.45/0.66 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t126)) % 0.45/0.66 (step @p117 :rule cong :premises (@p116) :args (@t127)) % 0.45/0.66 (step @p118 :rule eq_resolve :premises (@p97 @p117)) % 0.45/0.66 (step @p119 :rule instantiate :premises (@p118) :args ((@list @t185 @t184 @t183 @t182))) % 0.45/0.66 (step @p120 :rule instantiate :premises (@p93) :args ((@list @t183 @t184 @t185))) % 0.45/0.66 (step @p121 :rule instantiate :premises (@p96) :args ((@list @t183 @t184))) % 0.45/0.66 (step @p122 :rule cnf_or_pos :args (@t189)) % 0.45/0.66 (step @p123 :rule reordering :premises (@p122) :args ((or @t188 @t186 (not @t189)))) % 0.45/0.66 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120) :args (@t186 @t190 (@list @t187 @t189))) % 0.45/0.66 (step @p125 :rule aci_norm :args ((= (or false @t178 @t102) @t179))) % 0.45/0.66 (step @p126 :rule refl :args (@t102)) % 0.45/0.66 (step @p127 :rule refl :args (@t178)) % 0.45/0.66 (step @p128 :rule evaluate :args ((not true))) % 0.45/0.66 (step @p129 :rule eq-refl :args (@t123)) % 0.45/0.66 (step @p130 :rule cong :premises (@p129) :args (@t191)) % 0.45/0.66 (step @p131 :rule trans :premises (@p130 @p128)) % 0.45/0.66 (step @p132 :rule nary_cong :premises (@p131 @p127 @p126) :args (@t192)) % 0.45/0.66 (step @p133 :rule trans :premises (@p132 @p125)) % 0.45/0.66 (step @p134 :rule cong :premises (@p133) :args ((forall @t180 @t192))) % 0.45/0.66 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t196 @t195) @t192))) % 0.45/0.66 (step @p136 :rule aci_norm :args ((= @t197 @t195))) % 0.45/0.66 (step @p137 :rule cong :premises (@p136) :args (@t198)) % 0.45/0.66 (step @p138 :rule trans :premises (@p137 @p135)) % 0.45/0.66 (step @p139 :rule cong :premises (@p138) :args (@t199)) % 0.45/0.66 (step @p140 :rule quant-merge-prenex :args ((= @t199 @t200))) % 0.45/0.66 (step @p141 :rule symm :premises (@p140)) % 0.45/0.66 (step @p142 :rule quant_var_reordering :args ((= (forall @t132 @t197) @t200))) % 0.45/0.66 (step @p143 :rule trans :premises (@p142 @p141 @p139)) % 0.45/0.66 (step @p144 :rule trans :premises (@p143 @p134)) % 0.45/0.66 (step @p145 :rule eq-symm :args (@t128 @t99)) % 0.45/0.66 (step @p146 :rule cong :premises (@p145) :args (@t129)) % 0.45/0.66 (step @p147 :rule eq-symm :args (@t123 @t99)) % 0.45/0.66 (step @p148 :rule cong :premises (@p147) :args (@t130)) % 0.45/0.66 (step @p149 :rule nary_cong :premises (@p148 @p146 @p126) :args (@t131)) % 0.45/0.66 (step @p150 :rule cong :premises (@p149) :args (@t133)) % 0.45/0.66 (step @p151 :rule trans :premises (@p150 @p144)) % 0.45/0.66 (step @p152 :rule cong :premises (@p151) :args (@t134)) % 0.45/0.66 (step @p153 :rule eq_resolve :premises (@p100 @p152)) % 0.45/0.66 (step @p154 :rule skolemize :premises (@p153)) % 0.45/0.66 (step @p155 :rule cnf_or_neg :args (@t205 1)) % 0.45/0.66 (step @p156 :rule chain_m_resolution :premises (@p155 @p154) :args ((not @t201) @t206 @t207)) % 0.45/0.66 (step @p157 :rule cnf_or_pos :args (@t210)) % 0.45/0.66 (step @p158 :rule reordering :premises (@p157) :args ((or @t201 @t209 @t208 (not @t210)))) % 0.45/0.66 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p124 @p119) :args (@t208 (@list true false false) (@list @t201 @t186 @t210))) % 0.45/0.66 (step @p160 :rule false_intro :premises (@p159)) % 0.45/0.66 (step @p161 :rule refl :args (@t182)) % 0.45/0.66 (step @p162 :rule refl :args (@t184)) % 0.45/0.66 (step @p163 :rule bool-double-not-elim :args (@t203)) % 0.45/0.67 (step @p164 :rule refl :args (@t205)) % 0.45/0.67 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t205 (not @t204)))) % 0.45/0.67 (step @p166 :rule cnf_or_neg :args (@t205 0)) % 0.45/0.67 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.45/0.67 (step @p168 :rule reordering :premises (@p167) :args ((or @t203 @t205))) % 0.45/0.67 (step @p169 :rule chain_m_resolution :premises (@p168 @p154) :args (@t203 @t206 @t207)) % 0.45/0.67 (step @p170 :rule cong :premises (@p169 @p162 @p161) :args (@t211)) % 0.45/0.67 (step @p171 :rule instantiate :premises (@p93) :args ((@list @t182 @t184 @t202))) % 0.45/0.67 (step @p172 :rule instantiate :premises (@p96) :args ((@list @t182 @t184))) % 0.45/0.67 (step @p173 :rule cnf_or_pos :args (@t214)) % 0.45/0.67 (step @p174 :rule reordering :premises (@p173) :args ((or @t213 @t211 (not @t214)))) % 0.45/0.67 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p171) :args (@t211 @t190 (@list @t212 @t214))) % 0.45/0.67 (step @p176 :rule true_intro :premises (@p175)) % 0.45/0.67 (step @p177 :rule symm :premises (@p176)) % 0.45/0.67 (step @p178 :rule trans :premises (@p177 @p170 @p160)) % 0.45/0.67 (step @p179 false :rule eq_resolve :premises (@p178 @p112)) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------