%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO511+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 : n026.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 08:17:20 AM UTC 2026 % Result : Theorem 33.95s 34.17s % Output : Proof 33.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO511+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 % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:57:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.54 %----Proving TF0_NAR, FOF, or CNF % 33.95/34.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.95/34.17 --- Run --no-e-matching --full-saturate-quant at 6... % 33.95/34.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.95/34.17 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.95/34.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.95/34.17 % SZS status Theorem % 33.95/34.17 % SZS output start Proof % 33.95/34.17 ( % 33.95/34.17 (declare-sort $$unsorted 0) % 33.95/34.17 (declare-const tptp.f811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.g811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.midpoint (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.midpointAux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.erect (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.erectAux21a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.foot (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.s_kf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.erect21a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.xb $$unsorted) % 33.95/34.17 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.gamma $$unsorted) % 33.95/34.17 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.erectAux (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.beta $$unsorted) % 33.95/34.17 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.s_r (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.perp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.il (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.alpha $$unsorted) % 33.95/34.17 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.pointOffLine (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.s_m (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.f813 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.perpAt (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.17 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.isomidpoint (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (declare-const tptp.g813 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.17 (define @t1 () (@var "X" $$unsorted)) % 33.95/34.17 (define @t2 () (@var "Y" $$unsorted)) % 33.95/34.17 (define @t3 () (@list @t1 @t2)) % 33.95/34.17 (define @t4 () (@var "V2" $$unsorted)) % 33.95/34.17 (define @t5 () (@var "Z2" $$unsorted)) % 33.95/34.17 (define @t6 () (@var "V" $$unsorted)) % 33.95/34.17 (define @t7 () (@var "Z" $$unsorted)) % 33.95/34.17 (define @t8 () (= @t1 @t2)) % 33.95/34.17 (define @t9 () (@var "W" $$unsorted)) % 33.95/34.17 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 33.95/34.17 (define @t11 () (@var "V1" $$unsorted)) % 33.95/34.17 (define @t12 () (@var "Z1" $$unsorted)) % 33.95/34.17 (define @t13 () (@var "Y1" $$unsorted)) % 33.95/34.17 (define @t14 () (@var "X1" $$unsorted)) % 33.95/34.17 (define @t15 () (@var "Xa" $$unsorted)) % 33.95/34.17 (define @t16 () (@var "Xq" $$unsorted)) % 33.95/34.17 (define @t17 () (@var "Xb" $$unsorted)) % 33.95/34.17 (define @t18 () (@var "Xc" $$unsorted)) % 33.95/34.17 (define @t19 () (@var "Xp" $$unsorted)) % 33.95/34.17 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 33.95/34.17 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 33.95/34.17 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 33.95/34.17 (define @t23 () (@list @t15 @t17)) % 33.95/34.17 (define @t24 () (@var "Xd" $$unsorted)) % 33.95/34.17 (define @t25 () (tptp.s_e @t15 @t17 @t18 @t24)) % 33.95/34.17 (define @t26 () (not @t25)) % 33.95/34.17 (define @t27 () (@list @t15 @t17 @t18 @t24)) % 33.95/34.17 (define @t28 () (@var "Xf" $$unsorted)) % 33.95/34.17 (define @t29 () (@var "Xe" $$unsorted)) % 33.95/34.17 (define @t30 () (@list @t15 @t17 @t18 @t24 @t29 @t28)) % 33.95/34.17 (define @t31 () (@var "Xc1" $$unsorted)) % 33.95/34.17 (define @t32 () (@var "Xa1" $$unsorted)) % 33.95/34.17 (define @t33 () (tptp.s_e @t15 @t18 @t32 @t31)) % 33.95/34.17 (define @t34 () (@var "Xb1" $$unsorted)) % 33.95/34.17 (define @t35 () (not (tptp.s_e @t17 @t18 @t34 @t31))) % 33.95/34.17 (define @t36 () (tptp.s_e @t15 @t17 @t32 @t34)) % 33.95/34.17 (define @t37 () (not @t36)) % 33.95/34.17 (define @t38 () (tptp.s_t @t32 @t34 @t31)) % 33.95/34.17 (define @t39 () (not @t38)) % 33.95/34.17 (define @t40 () (tptp.s_t @t15 @t17 @t18)) % 33.95/34.17 (define @t41 () (not @t40)) % 33.95/34.17 (define @t42 () (@list @t15 @t17 @t18 @t32 @t34 @t31)) % 33.95/34.17 (define @t43 () (= @t17 @t18)) % 33.95/34.17 (define @t44 () (@var "XC" $$unsorted)) % 33.95/34.17 (define @t45 () (@var "XA" $$unsorted)) % 33.95/34.17 (define @t46 () (@var "XB" $$unsorted)) % 33.95/34.17 (define @t47 () (@list @t15 @t17 @t18)) % 33.95/34.17 (define @t48 () (= @t15 @t17)) % 33.95/34.17 (define @t49 () (tptp.s_t @t17 @t18 @t24)) % 33.95/34.17 (define @t50 () (not @t49)) % 33.95/34.17 (define @t51 () (tptp.s_t @t15 @t17 @t24)) % 33.95/34.17 (define @t52 () (not @t51)) % 33.95/34.17 (define @t53 () (@list @t15 @t17 @t24 @t18)) % 33.95/34.17 (define @t54 () (tptp.s_t @t15 @t18 @t24)) % 33.95/34.17 (define @t55 () (not @t54)) % 33.95/34.17 (define @t56 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 33.95/34.17 (define @t57 () (tptp.crossbar @t15 @t17 @t18 @t32 @t34 @t19)) % 33.95/34.17 (define @t58 () (not (tptp.s_t @t15 @t19 @t32))) % 33.95/34.17 (define @t59 () (not (tptp.s_t @t32 @t34 @t18))) % 33.95/34.17 (define @t60 () (@var "Xd1" $$unsorted)) % 33.95/34.17 (define @t61 () (tptp.s_e @t17 @t24 @t34 @t60)) % 33.95/34.17 (define @t62 () (@list @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 33.95/34.17 (define @t63 () (not @t33)) % 33.95/34.17 (define @t64 () (tptp.insert @t15 @t17 @t32 @t31)) % 33.95/34.17 (define @t65 () (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 @t31)) % 33.95/34.17 (define @t66 () (not @t65)) % 33.95/34.17 (define @t67 () (tptp.s_col @t15 @t17 @t18)) % 33.95/34.17 (define @t68 () (not @t67)) % 33.95/34.17 (define @t69 () (tptp.s_e @t18 @t24 @t31 @t60)) % 33.95/34.17 (define @t70 () (tptp.s_fs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 33.95/34.17 (define @t71 () (not @t70)) % 33.95/34.17 (define @t72 () (@list @t15 @t17 @t18 @t19 @t16)) % 33.95/34.17 (define @t73 () (= @t18 @t31)) % 33.95/34.17 (define @t74 () (not (tptp.s_e @t17 @t18 @t17 @t31))) % 33.95/34.17 (define @t75 () (not (tptp.s_e @t15 @t18 @t15 @t31))) % 33.95/34.17 (define @t76 () (tptp.s_t @t15 @t18 @t17)) % 33.95/34.17 (define @t77 () (tptp.insert @t15 @t17 @t18 @t24)) % 33.95/34.17 (define @t78 () (tptp.ins @t18 @t24 @t15 @t17)) % 33.95/34.17 (define @t79 () (tptp.le @t15 @t17 @t18 @t24)) % 33.95/34.17 (define @t80 () (not @t79)) % 33.95/34.17 (define @t81 () (tptp.le @t18 @t24 @t15 @t17)) % 33.95/34.17 (define @t82 () (tptp.le @t15 @t17 @t15 @t18)) % 33.95/34.17 (define @t83 () (tptp.le @t17 @t18 @t15 @t18)) % 33.95/34.17 (define @t84 () (= @t18 @t17)) % 33.95/34.17 (define @t85 () (tptp.sameside @t15 @t19 @t17)) % 33.95/34.17 (define @t86 () (tptp.s_t @t17 @t19 @t18)) % 33.95/34.17 (define @t87 () (not @t86)) % 33.95/34.17 (define @t88 () (= @t18 @t19)) % 33.95/34.17 (define @t89 () (= @t17 @t19)) % 33.95/34.17 (define @t90 () (= @t15 @t19)) % 33.95/34.17 (define @t91 () (@list @t15 @t19 @t17 @t18)) % 33.95/34.17 (define @t92 () (not @t85)) % 33.95/34.17 (define @t93 () (tptp.c63 @t15 @t19 @t17)) % 33.95/34.17 (define @t94 () (or @t92 (not @t89))) % 33.95/34.17 (define @t95 () (not @t90)) % 33.95/34.17 (define @t96 () (or @t92 @t95)) % 33.95/34.17 (define @t97 () (@list @t15 @t19 @t17)) % 33.95/34.17 (define @t98 () (tptp.s_t @t15 @t19 @t17)) % 33.95/34.17 (define @t99 () (tptp.s_col @t15 @t19 @t17)) % 33.95/34.17 (define @t100 () (@list @t15 @t19)) % 33.95/34.17 (define @t101 () (@var "Xr" $$unsorted)) % 33.95/34.17 (define @t102 () (tptp.insert @t17 @t18 @t15 @t101)) % 33.95/34.17 (define @t103 () (= @t101 @t15)) % 33.95/34.17 (define @t104 () (= @t19 @t16)) % 33.95/34.17 (define @t105 () (tptp.s_t @t19 @t15 @t17)) % 33.95/34.17 (define @t106 () (tptp.le @t19 @t15 @t19 @t17)) % 33.95/34.17 (define @t107 () (not @t105)) % 33.95/34.17 (define @t108 () (tptp.sameside @t15 @t19 @t101)) % 33.95/34.17 (define @t109 () (tptp.sameside @t15 @t19 @t16)) % 33.95/34.17 (define @t110 () (tptp.s_col @t15 @t19 @t16)) % 33.95/34.17 (define @t111 () (not (tptp.s_t @t16 @t19 @t101))) % 33.95/34.17 (define @t112 () (= @t19 @t101)) % 33.95/34.17 (define @t113 () (@list @t19 @t16 @t101 @t15)) % 33.95/34.17 (define @t114 () (tptp.s_t @t18 @t15 @t17)) % 33.95/34.17 (define @t115 () (not @t114)) % 33.95/34.17 (define @t116 () (@var "Xcs" $$unsorted)) % 33.95/34.17 (define @t117 () (not (tptp.s_col @t19 @t16 @t101))) % 33.95/34.17 (define @t118 () (= @t18 @t24)) % 33.95/34.17 (define @t119 () (not (tptp.s_col @t15 @t17 @t24))) % 33.95/34.17 (define @t120 () (tptp.s_col @t19 @t16 @t18)) % 33.95/34.17 (define @t121 () (not @t120)) % 33.95/34.17 (define @t122 () (@var "Xm" $$unsorted)) % 33.95/34.17 (define @t123 () (tptp.s_m @t15 @t122 @t17)) % 33.95/34.17 (define @t124 () (not @t123)) % 33.95/34.17 (define @t125 () (@list @t15 @t122 @t17)) % 33.95/34.17 (define @t126 () (= @t122 @t15)) % 33.95/34.17 (define @t127 () (tptp.s_m @t15 @t122 @t15)) % 33.95/34.17 (define @t128 () (@list @t15 @t122)) % 33.95/34.17 (define @t129 () (tptp.s @t15 @t19)) % 33.95/34.17 (define @t130 () (not (tptp.s_m @t19 @t15 @t16))) % 33.95/34.17 (define @t131 () (tptp.s @t15 @t16)) % 33.95/34.17 (define @t132 () (= @t19 @t15)) % 33.95/34.17 (define @t133 () (= @t129 @t19)) % 33.95/34.17 (define @t134 () (tptp.s @t15 @t101)) % 33.95/34.17 (define @t135 () (tptp.s_t @t129 @t131 @t134)) % 33.95/34.17 (define @t136 () (tptp.s_t @t19 @t16 @t101)) % 33.95/34.17 (define @t137 () (tptp.s_e @t129 @t131 @t134 (tptp.s @t15 @t116))) % 33.95/34.17 (define @t138 () (tptp.s_e @t19 @t16 @t101 @t116)) % 33.95/34.17 (define @t139 () (@list @t19 @t16 @t101 @t116 @t15)) % 33.95/34.17 (define @t140 () (tptp.s @t17 @t19)) % 33.95/34.17 (define @t141 () (tptp.s_e @t122 @t15 @t122 @t17)) % 33.95/34.17 (define @t142 () (not @t141)) % 33.95/34.17 (define @t143 () (@list @t15 @t17 @t18 @t24 @t19)) % 33.95/34.17 (define @t144 () (@var "Xa2" $$unsorted)) % 33.95/34.17 (define @t145 () (@var "Xm2" $$unsorted)) % 33.95/34.17 (define @t146 () (@var "Xm1" $$unsorted)) % 33.95/34.17 (define @t147 () (tptp.s_t @t146 @t18 @t145)) % 33.95/34.17 (define @t148 () (@var "Xb2" $$unsorted)) % 33.95/34.17 (define @t149 () (tptp.s_kf @t32 @t146 @t34 @t18 @t148 @t145 @t144)) % 33.95/34.17 (define @t150 () (not @t149)) % 33.95/34.17 (define @t151 () (@list @t32 @t146 @t34 @t18 @t148 @t145 @t144)) % 33.95/34.17 (define @t152 () (tptp.s_m @t144 @t145 @t148)) % 33.95/34.17 (define @t153 () (not @t152)) % 33.95/34.17 (define @t154 () (tptp.s_m @t32 @t146 @t34)) % 33.95/34.17 (define @t155 () (not @t154)) % 33.95/34.17 (define @t156 () (tptp.s_e @t18 @t144 @t18 @t148)) % 33.95/34.17 (define @t157 () (not @t156)) % 33.95/34.17 (define @t158 () (tptp.s_e @t18 @t32 @t18 @t34)) % 33.95/34.17 (define @t159 () (not @t158)) % 33.95/34.17 (define @t160 () (tptp.s_t @t34 @t18 @t148)) % 33.95/34.17 (define @t161 () (not @t160)) % 33.95/34.17 (define @t162 () (tptp.s_t @t32 @t18 @t144)) % 33.95/34.17 (define @t163 () (not @t162)) % 33.95/34.17 (define @t164 () (tptp.s_r @t15 @t17 @t18)) % 33.95/34.17 (define @t165 () (not @t164)) % 33.95/34.17 (define @t166 () (tptp.s_r @t32 @t17 @t18)) % 33.95/34.17 (define @t167 () (@list @t15 @t17 @t18 @t32)) % 33.95/34.17 (define @t168 () (tptp.s @t17 @t18)) % 33.95/34.17 (define @t169 () (tptp.perpAt @t15 @t17 @t18 @t19 @t16)) % 33.95/34.17 (define @t170 () (not @t169)) % 33.95/34.17 (define @t171 () (not (tptp.perp @t15 @t17 @t19 @t16))) % 33.95/34.17 (define @t172 () (@list @t15 @t17 @t19 @t16)) % 33.95/34.17 (define @t173 () (tptp.g813 @t15 @t17 @t19 @t16 @t18)) % 33.95/34.17 (define @t174 () (tptp.f813 @t15 @t17 @t19 @t16 @t18)) % 33.95/34.17 (define @t175 () (@var "Xcx" $$unsorted)) % 33.95/34.17 (define @t176 () (@var "U" $$unsorted)) % 33.95/34.17 (define @t177 () (not (tptp.s_col @t15 @t17 @t16))) % 33.95/34.17 (define @t178 () (tptp.s_col @t15 @t17 @t19)) % 33.95/34.17 (define @t179 () (not @t178)) % 33.95/34.17 (define @t180 () (@list @t15 @t17 @t19 @t16 @t18)) % 33.95/34.17 (define @t181 () (tptp.perp @t15 @t17 @t18 @t19)) % 33.95/34.17 (define @t182 () (not @t181)) % 33.95/34.17 (define @t183 () (tptp.s_r @t18 @t19 @t16)) % 33.95/34.17 (define @t184 () (= @t16 @t19)) % 33.95/34.17 (define @t185 () (tptp.foot @t15 @t17 @t18)) % 33.95/34.17 (define @t186 () (not (tptp.s_m (tptp.s @t15 @t18) @t19 @t168))) % 33.95/34.17 (define @t187 () (@list @t15 @t17 @t18 @t19)) % 33.95/34.17 (define @t188 () (tptp.erect21a @t15 @t17 @t18)) % 33.95/34.17 (define @t189 () (tptp.erectAux21a @t15 @t17 @t18)) % 33.95/34.17 (define @t190 () (tptp.erect @t15 @t17 @t18)) % 33.95/34.17 (define @t191 () (tptp.erectAux @t15 @t17 @t18)) % 33.95/34.17 (define @t192 () (@var "Xt" $$unsorted)) % 33.95/34.17 (define @t193 () (not (tptp.s_col @t15 @t17 @t192))) % 33.95/34.17 (define @t194 () (not (tptp.s_t @t19 @t192 @t16))) % 33.95/34.17 (define @t195 () (tptp.midpoint @t15 @t17)) % 33.95/34.17 (define @t196 () (tptp.s_m @t15 @t175 @t17)) % 33.95/34.17 (define @t197 () (tptp.ip @t19 @t192 @t16 @t17 @t101)) % 33.95/34.17 (define @t198 () (not (= @t175 @t197))) % 33.95/34.17 (define @t199 () (not (tptp.s_e @t15 @t19 @t17 @t101))) % 33.95/34.17 (define @t200 () (not (tptp.s_t @t17 @t101 @t16))) % 33.95/34.17 (define @t201 () (not (tptp.perp @t16 @t17 @t15 @t17))) % 33.95/34.17 (define @t202 () (not (tptp.perp @t19 @t15 @t15 @t17))) % 33.95/34.17 (define @t203 () (or @t202 @t201 @t193 @t194 @t200 @t199 @t198 @t196)) % 33.95/34.17 (define @t204 () (@list @t19 @t15 @t17 @t16 @t192 @t101 @t175)) % 33.95/34.17 (define @t205 () (forall @t204 @t203)) % 33.95/34.17 (define @t206 () (tptp.s_m @t19 @t175 @t101)) % 33.95/34.17 (define @t207 () (or @t202 @t201 @t193 @t194 @t200 @t199 @t198 @t206)) % 33.95/34.17 (define @t208 () (forall @t204 @t207)) % 33.95/34.17 (define @t209 () (@list @t19 @t15 @t17 @t16 @t192 @t101)) % 33.95/34.17 (define @t210 () (forall @t209 (or @t202 @t201 @t193 @t194 @t200 @t199 (tptp.s_m @t19 @t195 @t101)))) % 33.95/34.17 (define @t211 () (@var "Zd" $$unsorted)) % 33.95/34.17 (define @t212 () (@var "Zc" $$unsorted)) % 33.95/34.17 (define @t213 () (@var "Zb" $$unsorted)) % 33.95/34.17 (define @t214 () (@var "Za" $$unsorted)) % 33.95/34.17 (define @t215 () (tptp.s_afs @t15 @t17 @t18 @t24 @t214 @t213 @t212 @t211)) % 33.95/34.17 (define @t216 () (tptp.s_e @t17 @t24 @t213 @t211)) % 33.95/34.17 (define @t217 () (tptp.s_e @t15 @t24 @t214 @t211)) % 33.95/34.17 (define @t218 () (not @t217)) % 33.95/34.17 (define @t219 () (tptp.s_e @t17 @t18 @t213 @t212)) % 33.95/34.17 (define @t220 () (not @t219)) % 33.95/34.17 (define @t221 () (tptp.s_e @t15 @t17 @t214 @t213)) % 33.95/34.17 (define @t222 () (tptp.s_t @t214 @t213 @t212)) % 33.95/34.17 (define @t223 () (not @t222)) % 33.95/34.17 (define @t224 () (not @t215)) % 33.95/34.17 (define @t225 () (@list @t15 @t17 @t18 @t24 @t214 @t213 @t212 @t211)) % 33.95/34.17 (define @t226 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t214 @t213 @t212 @t211)) % 33.95/34.17 (define @t227 () (tptp.s_e @t18 @t24 @t212 @t211)) % 33.95/34.17 (define @t228 () (tptp.s_e @t15 @t18 @t214 @t212)) % 33.95/34.17 (define @t229 () (not @t226)) % 33.95/34.17 (define @t230 () (@var "Xb3" $$unsorted)) % 33.95/34.17 (define @t231 () (@var "Xa3" $$unsorted)) % 33.95/34.17 (define @t232 () (tptp.s_e3 @t32 @t144 @t231 @t34 @t148 @t230)) % 33.95/34.17 (define @t233 () (tptp.s_e @t144 @t231 @t148 @t230)) % 33.95/34.17 (define @t234 () (tptp.s_e @t32 @t231 @t34 @t230)) % 33.95/34.17 (define @t235 () (tptp.s_e @t32 @t144 @t34 @t148)) % 33.95/34.17 (define @t236 () (not @t232)) % 33.95/34.17 (define @t237 () (tptp.s_t @t17 @t18 @t15)) % 33.95/34.17 (define @t238 () (tptp.s_e @t15 @t24 @t32 @t60)) % 33.95/34.17 (define @t239 () (tptp.s_t @t19 @t17 @t15)) % 33.95/34.17 (define @t240 () (tptp.s_t @t15 @t122 @t17)) % 33.95/34.17 (define @t241 () (tptp.s_e @t15 @t18 @t15 @t168)) % 33.95/34.17 (define @t242 () (tptp.g811 @t2 @t7 @t13 @t12 @t1)) % 33.95/34.17 (define @t243 () (tptp.f811 @t2 @t7 @t13 @t12 @t1)) % 33.95/34.17 (define @t244 () (tptp.s_col @t13 @t12 @t1)) % 33.95/34.17 (define @t245 () (not @t244)) % 33.95/34.17 (define @t246 () (tptp.s_col @t2 @t7 @t1)) % 33.95/34.17 (define @t247 () (not @t246)) % 33.95/34.17 (define @t248 () (= @t13 @t12)) % 33.95/34.17 (define @t249 () (= @t2 @t7)) % 33.95/34.17 (define @t250 () (tptp.perpAt @t2 @t7 @t1 @t13 @t12)) % 33.95/34.17 (define @t251 () (not @t250)) % 33.95/34.17 (define @t252 () (@var "Xq1" $$unsorted)) % 33.95/34.17 (define @t253 () (@var "Xp1" $$unsorted)) % 33.95/34.17 (define @t254 () (tptp.perp @t19 @t16 @t253 @t252)) % 33.95/34.17 (define @t255 () (tptp.s_m @t19 @t197 @t101)) % 33.95/34.17 (define @t256 () (not (= @t197 @t197))) % 33.95/34.17 (define @t257 () (or @t202 @t201 @t193 @t194 @t200 @t199 @t256 @t255)) % 33.95/34.17 (define @t258 () (or @t198 @t202 @t201 @t193 @t194 @t200 @t199 @t198 @t206)) % 33.95/34.17 (define @t259 () (@list @t175)) % 33.95/34.17 (define @t260 () (forall @t259 @t207)) % 33.95/34.17 (define @t261 () (forall @t209 @t260)) % 33.95/34.17 (define @t262 () (@quantifiers_skolemize @t210 5)) % 33.95/34.17 (define @t263 () (@quantifiers_skolemize @t210 4)) % 33.95/34.17 (define @t264 () (@quantifiers_skolemize @t210 3)) % 33.95/34.17 (define @t265 () (@quantifiers_skolemize @t210 2)) % 33.95/34.17 (define @t266 () (@quantifiers_skolemize @t210 1)) % 33.95/34.17 (define @t267 () (@quantifiers_skolemize @t210 0)) % 33.95/34.17 (define @t268 () (@list @t267 @t266 @t265 @t264 @t263 @t262)) % 33.95/34.17 (define @t269 () (tptp.s_e @t266 @t267 @t265 @t262)) % 33.95/34.17 (define @t270 () (tptp.midpoint @t266 @t265)) % 33.95/34.17 (define @t271 () (tptp.s_m @t267 @t270 @t262)) % 33.95/34.17 (define @t272 () (not @t269)) % 33.95/34.17 (define @t273 () (tptp.s_t @t265 @t262 @t264)) % 33.95/34.17 (define @t274 () (not @t273)) % 33.95/34.17 (define @t275 () (tptp.s_t @t267 @t263 @t264)) % 33.95/34.17 (define @t276 () (not @t275)) % 33.95/34.17 (define @t277 () (tptp.s_col @t266 @t265 @t263)) % 33.95/34.17 (define @t278 () (not @t277)) % 33.95/34.17 (define @t279 () (tptp.perp @t264 @t265 @t266 @t265)) % 33.95/34.17 (define @t280 () (not @t279)) % 33.95/34.17 (define @t281 () (tptp.perp @t267 @t266 @t266 @t265)) % 33.95/34.17 (define @t282 () (not @t281)) % 33.95/34.17 (define @t283 () (or @t282 @t280 @t278 @t276 @t274 @t272 @t271)) % 33.95/34.17 (define @t284 () (@list true)) % 33.95/34.17 (define @t285 () (@list @t283)) % 33.95/34.17 (define @t286 () (tptp.ip @t267 @t263 @t264 @t265 @t262)) % 33.95/34.17 (define @t287 () (tptp.s_m @t267 @t286 @t262)) % 33.95/34.17 (define @t288 () (or @t282 @t280 @t278 @t276 @t274 @t272 @t287)) % 33.95/34.17 (define @t289 () (@list false false false false false false false)) % 33.95/34.17 (define @t290 () (tptp.s_m @t15 @t197 @t17)) % 33.95/34.17 (define @t291 () (or @t202 @t201 @t193 @t194 @t200 @t199 @t256 @t290)) % 33.95/34.17 (define @t292 () (or @t198 @t202 @t201 @t193 @t194 @t200 @t199 @t198 @t196)) % 33.95/34.17 (define @t293 () (forall @t259 @t203)) % 33.95/34.17 (define @t294 () (forall @t209 @t293)) % 33.95/34.17 (define @t295 () (tptp.s_m @t266 @t286 @t265)) % 33.95/34.17 (define @t296 () (or @t282 @t280 @t278 @t276 @t274 @t272 @t295)) % 33.95/34.17 (define @t297 () (= @t270 @t286)) % 33.95/34.17 (define @t298 () (not @t295)) % 33.95/34.17 (define @t299 () (tptp.s_m @t266 @t270 @t265)) % 33.95/34.17 (define @t300 () (not @t299)) % 33.95/34.17 (define @t301 () (or @t300 @t298 @t297)) % 33.95/34.17 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 33.95/34.17 (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)))) % 33.95/34.17 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 33.95/34.17 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 33.95/34.17 (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)))) % 33.95/34.17 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 33.95/34.17 (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))))) % 33.95/34.17 (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)))) % 33.95/34.17 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 33.95/34.17 (assume @p10 (forall @t27 (or @t26 (tptp.s_e @t18 @t24 @t15 @t17)))) % 33.95/34.17 (assume @p11 (forall @t30 (or @t26 (not (tptp.s_e @t18 @t24 @t29 @t28)) (tptp.s_e @t15 @t17 @t29 @t28)))) % 33.95/34.17 (assume @p12 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t18 @t24)))) % 33.95/34.17 (assume @p13 (forall @t27 (or @t26 (tptp.s_e @t15 @t17 @t24 @t18)))) % 33.95/34.17 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 33.95/34.17 (assume @p15 (forall @t42 (or @t41 @t39 @t37 @t35 @t33))) % 33.95/34.17 (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))))) % 33.95/34.17 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t43))) % 33.95/34.17 (assume @p18 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t24 @t18)))) % 33.95/34.17 (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)))) % 33.95/34.17 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 33.95/34.17 (assume @p21 (forall @t47 (or @t41 (tptp.s_t @t18 @t17 @t15)))) % 33.95/34.17 (assume @p22 (forall (@list @t32 @t34) (tptp.s_t @t32 @t32 @t34))) % 33.95/34.17 (assume @p23 (forall @t47 (or @t41 (not (tptp.s_t @t17 @t15 @t18)) @t48))) % 33.95/34.17 (assume @p24 (forall @t53 (or @t52 @t50 @t40))) % 33.95/34.17 (assume @p25 (forall @t27 (or @t41 @t55 @t49))) % 33.95/34.17 (assume @p26 (forall @t27 (or @t41 @t50 @t43 @t54))) % 33.95/34.17 (assume @p27 (forall @t53 (or @t52 @t50 @t54))) % 33.95/34.17 (assume @p28 (forall @t27 (or @t41 @t55 @t51))) % 33.95/34.17 (assume @p29 (forall @t27 (or @t41 @t50 @t43 @t51))) % 33.95/34.17 (assume @p30 (not (= tptp.alpha tptp.beta))) % 33.95/34.17 (assume @p31 (not (= tptp.beta tptp.gamma))) % 33.95/34.17 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 33.95/34.17 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t56))) % 33.95/34.17 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t56)))) % 33.95/34.17 (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))))) % 33.95/34.17 (assume @p36 (forall @t62 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) @t61))) % 33.95/34.17 (assume @p37 (forall @t42 (or @t41 @t39 @t63 @t35 @t36))) % 33.95/34.17 (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))))) % 33.95/34.17 (assume @p39 (forall @t42 (or @t41 @t66 @t38))) % 33.95/34.17 (assume @p40 (forall @t47 (or @t68 (tptp.s_col @t17 @t18 @t15)))) % 33.95/34.17 (assume @p41 (forall @t47 (or @t68 (tptp.s_col @t18 @t15 @t17)))) % 33.95/34.17 (assume @p42 (forall @t47 (or @t68 (tptp.s_col @t18 @t17 @t15)))) % 33.95/34.17 (assume @p43 (forall @t47 (or @t68 (tptp.s_col @t17 @t15 @t18)))) % 33.95/34.17 (assume @p44 (forall @t47 (or @t68 (tptp.s_col @t15 @t18 @t17)))) % 33.95/34.17 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 33.95/34.17 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 33.95/34.17 (assume @p47 (forall @t42 (or @t68 @t66 (tptp.s_col @t32 @t34 @t31)))) % 33.95/34.17 (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))))) % 33.95/34.17 (assume @p49 (forall @t62 (or @t71 @t48 @t69))) % 33.95/34.17 (assume @p50 (forall @t72 (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)))) % 33.95/34.17 (assume @p51 (forall (@list @t15 @t17 @t18 @t31) (or @t48 @t68 @t75 @t74 @t73))) % 33.95/34.17 (assume @p52 (forall (@list @t15 @t18 @t17 @t31) (or (not @t76) @t75 @t74 @t73))) % 33.95/34.17 (assume @p53 (forall @t27 (or @t48 @t41 @t52 @t54 (tptp.s_t @t15 @t24 @t18)))) % 33.95/34.17 (assume @p54 (forall @t27 (or @t48 @t41 @t52 @t49 (tptp.s_t @t17 @t24 @t18)))) % 33.95/34.17 (assume @p55 (forall @t53 (or @t52 @t55 @t40 @t76))) % 33.95/34.17 (assume @p56 (forall @t27 (and (or @t80 (tptp.s_t @t15 @t17 @t78)) (or @t80 (tptp.s_e @t15 @t78 @t18 @t24)) (or @t80 (= @t78 (tptp.ext @t15 @t17 @t77 @t24)))))) % 33.95/34.17 (assume @p57 (forall (@list @t15 @t17 @t18 @t24 @t29) (or @t79 (not (tptp.s_t @t15 @t17 @t29)) (not (tptp.s_e @t15 @t29 @t18 @t24))))) % 33.95/34.17 (assume @p58 (forall @t62 (or @t80 @t37 (not @t69) (tptp.le @t32 @t34 @t31 @t60)))) % 33.95/34.17 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 33.95/34.17 (assume @p60 (forall @t30 (or @t80 (not (tptp.le @t18 @t24 @t29 @t28)) (tptp.le @t15 @t17 @t29 @t28)))) % 33.95/34.17 (assume @p61 (forall @t27 (or @t80 (not @t81) @t25))) % 33.95/34.17 (assume @p62 (forall @t27 (or @t79 @t81))) % 33.95/34.17 (assume @p63 (forall (@list @t15 @t18 @t24) (tptp.le @t15 @t15 @t18 @t24))) % 33.95/34.17 (assume @p64 (forall @t47 (or @t68 @t41 @t82))) % 33.95/34.17 (assume @p65 (forall @t47 (or @t68 @t41 @t83))) % 33.95/34.17 (assume @p66 (forall @t47 (or @t41 (not (tptp.s_e @t15 @t18 @t15 @t17)) @t84))) % 33.95/34.17 (assume @p67 (forall @t47 (or @t68 @t40 (not @t82) (not @t83)))) % 33.95/34.17 (assume @p68 (forall @t91 (or @t90 @t89 @t88 @t22 @t87 @t85))) % 33.95/34.17 (assume @p69 (forall @t91 (or @t90 @t89 @t88 @t22 @t86 @t92))) % 33.95/34.17 (assume @p70 (forall @t97 (and @t96 @t94 (or @t92 (not (= @t93 @t19))) (or @t92 (tptp.s_t @t15 @t19 @t93)) (or @t92 (tptp.s_t @t17 @t19 @t93))))) % 33.95/34.17 (assume @p71 (forall @t91 (or @t85 @t90 @t89 @t88 @t22 @t87))) % 33.95/34.17 (assume @p72 (forall @t97 (and (or @t92 @t99) (or @t92 (not @t98))))) % 33.95/34.17 (assume @p73 (forall @t97 (or @t85 (not @t99) @t98))) % 33.95/34.17 (assume @p74 (forall @t100 (or @t90 (tptp.sameside @t15 @t19 @t15)))) % 33.95/34.17 (assume @p75 (forall @t97 (or @t92 (tptp.sameside @t17 @t19 @t15)))) % 33.95/34.17 (assume @p76 (forall @t91 (or @t92 (not (tptp.sameside @t17 @t19 @t18)) (tptp.sameside @t15 @t19 @t18)))) % 33.95/34.17 (assume @p77 (forall (@list @t101 @t15 @t17 @t18) (and (or @t103 @t43 (tptp.sameside @t102 @t15 @t101)) (or @t103 @t43 (tptp.s_e @t15 @t102 @t17 @t18))))) % 33.95/34.17 (assume @p78 (forall (@list @t101 @t15 @t17 @t18 @t19 @t16) (or @t103 @t43 (not (tptp.sameside @t19 @t15 @t101)) (not (tptp.s_e @t15 @t19 @t17 @t18)) (not (tptp.sameside @t16 @t15 @t101)) (not (tptp.s_e @t15 @t16 @t17 @t18)) @t104))) % 33.95/34.17 (assume @p79 (forall @t97 (or @t92 (not @t106) @t105))) % 33.95/34.17 (assume @p80 (forall @t97 (or @t92 @t106 @t107))) % 33.95/34.17 (assume @p81 (forall @t113 (or @t104 @t112 @t111 (not @t110) @t90 @t109 @t108))) % 33.95/34.17 (assume @p82 (forall @t113 (or @t104 @t112 @t111 (not @t109) @t110))) % 33.95/34.17 (assume @p83 (forall @t113 (or @t104 @t112 @t111 (not @t108) @t110))) % 33.95/34.17 (assume @p84 (forall @t113 (or @t104 @t112 @t111 @t95 @t110))) % 33.95/34.17 (assume @p85 (forall @t27 (or @t48 @t115 (not (tptp.s_t @t24 @t15 @t17)) (tptp.s_t @t24 @t18 @t17) (tptp.s_t @t18 @t24 @t17)))) % 33.95/34.17 (assume @p86 (forall (@list @t19 @t16 @t116 @t101) (or @t104 (= @t116 @t19) (not (tptp.s_col @t19 @t16 @t116)) @t117 (tptp.s_col @t19 @t116 @t101)))) % 33.95/34.17 (assume @p87 (forall (@list @t19 @t16) (or @t104 (tptp.s_col @t19 @t16 @t19)))) % 33.95/34.17 (assume @p88 (forall (@list @t19 @t16 @t101) (or @t104 @t117 (tptp.s_col @t16 @t19 @t101)))) % 33.95/34.17 (assume @p89 (forall (@list @t15 @t17 @t19 @t16 @t101) (or @t48 @t104 (not (tptp.s_col @t19 @t16 @t15)) (not (tptp.s_col @t19 @t16 @t17)) @t117 (tptp.s_col @t15 @t17 @t101)))) % 33.95/34.17 (assume @p90 (forall (@list @t15 @t17 @t19 @t16 @t18 @t24 @t29) (or @t48 @t104 @t68 @t121 @t119 (not (tptp.s_col @t19 @t16 @t24)) @t118 (not (tptp.s_col @t15 @t17 @t29)) (tptp.s_col @t19 @t16 @t29)))) % 33.95/34.17 (assume @p91 (forall @t23 (or @t48 (not (tptp.s_col @t15 @t17 (tptp.pointOffLine @t15 @t17)))))) % 33.95/34.17 (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))) % 33.95/34.17 (assume @p93 (forall @t125 (or @t124 (tptp.s_m @t17 @t122 @t15)))) % 33.95/34.17 (assume @p94 (forall @t128 (or (not @t127) @t126))) % 33.95/34.17 (assume @p95 (forall @t128 (or @t127 (not @t126)))) % 33.95/34.17 (assume @p96 (forall (@list @t19 @t15) (tptp.s_m @t19 @t15 @t129))) % 33.95/34.17 (assume @p97 (forall (@list @t19 @t15 @t101 @t16) (or (not (tptp.s_m @t19 @t15 @t101)) @t130 (= @t101 @t16)))) % 33.95/34.17 (assume @p98 (forall (@list @t19 @t15 @t16) (or @t130 (= @t16 @t129)))) % 33.95/34.17 (assume @p99 (forall @t100 (= (tptp.s @t15 @t129) @t19))) % 33.95/34.17 (assume @p100 (forall (@list @t15 @t19 @t101 @t16) (or (not (= @t129 @t101)) (not (= @t131 @t101)) @t104))) % 33.95/34.17 (assume @p101 (forall (@list @t15 @t19 @t16) (or (not (= @t129 @t131)) @t104))) % 33.95/34.17 (assume @p102 (forall @t100 (or (not @t133) @t132))) % 33.95/34.17 (assume @p103 (forall @t100 (or @t133 (not @t132)))) % 33.95/34.17 (assume @p104 (forall (@list @t19 @t16 @t15) (tptp.s_e @t19 @t16 @t129 @t131))) % 33.95/34.17 (assume @p105 (forall @t113 (or (not @t136) @t135))) % 33.95/34.17 (assume @p106 (forall @t113 (or @t136 (not @t135)))) % 33.95/34.17 (assume @p107 (forall @t139 (or (not @t138) @t137))) % 33.95/34.17 (assume @p108 (forall @t139 (or @t138 (not @t137)))) % 33.95/34.17 (assume @p109 (forall (@list @t19 @t15 @t16 @t17) (or @t130 (not (tptp.s_m @t19 @t17 @t16)) @t48))) % 33.95/34.17 (assume @p110 (forall @t97 (or (not (= @t129 @t140)) @t48))) % 33.95/34.17 (assume @p111 (forall (@list @t15 @t17 @t19) (or (not (= (tptp.s @t15 @t140) (tptp.s @t17 @t129))) @t48))) % 33.95/34.17 (assume @p112 (forall @t125 (or (not (tptp.s_col @t15 @t122 @t17)) @t142 @t48 @t123))) % 33.95/34.17 (assume @p113 (forall @t143 (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)))) % 33.95/34.17 (assume @p114 (forall @t151 (or @t150 @t147 (not (tptp.le @t18 @t32 @t18 @t144))))) % 33.95/34.17 (assume @p115 (forall @t151 (or @t150 @t147))) % 33.95/34.17 (assume @p116 (forall (@list @t32 @t18 @t144 @t34 @t148 @t146 @t145) (or @t163 @t161 @t159 @t157 @t155 @t153 @t147))) % 33.95/34.17 (assume @p117 (forall (@list @t18 @t15 @t17) (or (not (tptp.s_e @t18 @t15 @t18 @t17)) (tptp.s_m @t15 (tptp.isomidpoint @t15 @t17 @t18) @t17)))) % 33.95/34.17 (assume @p118 (forall @t47 (or @t165 (tptp.s_r @t18 @t17 @t15)))) % 33.95/34.17 (assume @p119 (forall @t167 (or @t165 @t48 (not (tptp.s_col @t17 @t15 @t32)) @t166))) % 33.95/34.17 (assume @p120 (forall @t47 (or @t165 (tptp.s_r @t15 @t17 @t168)))) % 33.95/34.17 (assume @p121 (forall @t23 (tptp.s_r @t15 @t17 @t17))) % 33.95/34.17 (assume @p122 (forall @t167 (or @t165 (not @t166) (not (tptp.s_t @t15 @t18 @t32)) @t43))) % 33.95/34.17 (assume @p123 (forall @t47 (or @t165 (not (tptp.s_r @t15 @t18 @t17)) @t43))) % 33.95/34.17 (assume @p124 (forall @t23 (or (not (tptp.s_r @t15 @t17 @t15)) @t48))) % 33.95/34.17 (assume @p125 (forall @t47 (or @t165 @t68 @t48 @t84))) % 33.95/34.17 (assume @p126 (forall @t42 (or @t165 @t66 (tptp.s_r @t32 @t34 @t31)))) % 33.95/34.17 (assume @p127 (forall @t72 (or @t170 (tptp.perpAt @t19 @t16 @t18 @t15 @t17)))) % 33.95/34.17 (assume @p128 (forall @t172 (or @t171 (tptp.perp @t19 @t16 @t15 @t17)))) % 33.95/34.17 (assume @p129 (forall @t72 (and (or @t170 (not @t48)) (or @t170 (not @t104)) (or @t170 @t120) (or @t170 @t67) (or @t170 (tptp.s_col @t15 @t17 @t174)) (or @t170 (tptp.s_col @t19 @t16 @t173)) (or @t170 (not (= @t18 @t174))) (or @t170 (not (= @t18 @t173))) (or @t170 (tptp.s_r @t174 @t18 @t173))))) % 33.95/34.17 (assume @p130 (forall (@list @t15 @t17 @t19 @t16 @t175 @t176 @t6) (or @t48 @t104 (not (tptp.s_col @t19 @t16 @t175)) (not (tptp.s_col @t15 @t17 @t175)) (not (tptp.s_col @t15 @t17 @t176)) (not (tptp.s_col @t19 @t16 @t6)) (= @t175 @t176) (= @t175 @t6) (not (tptp.s_r @t176 @t175 @t6)) (tptp.perpAt @t15 @t17 @t175 @t19 @t16)))) % 33.95/34.17 (assume @p131 (forall @t172 (or @t171 @t179 @t177))) % 33.95/34.17 (assume @p132 (forall @t180 (or @t171 @t68 @t121 @t169))) % 33.95/34.17 (assume @p133 (forall @t72 (or @t170 (= @t18 (tptp.il @t15 @t17 @t19 @t16))))) % 33.95/34.17 (assume @p134 (forall @t53 (or @t48 @t119 (not (tptp.perp @t15 @t17 @t18 @t24)) (tptp.perpAt @t15 @t17 @t24 @t18 @t24)))) % 33.95/34.17 (assume @p135 (forall @t180 (and (or @t48 @t179 @t177 @t184 @t68 @t182) (or @t48 @t179 @t177 @t184 @t183 @t182)))) % 33.95/34.17 (assume @p136 (forall @t180 (or @t48 @t179 @t177 @t184 @t181 @t67 (not @t183)))) % 33.95/34.17 (assume @p137 (forall @t72 (or @t67 @t179 @t177 @t182 (not (tptp.perp @t15 @t17 @t18 @t16)) @t104))) % 33.95/34.17 (assume @p138 (forall @t47 (and (or @t67 (tptp.s_col @t15 @t17 @t185)) (or @t67 (tptp.perp @t15 @t17 @t18 @t185))))) % 33.95/34.17 (assume @p139 (forall @t187 (or @t165 @t186 (tptp.s_r @t17 @t15 @t19)))) % 33.95/34.17 (assume @p140 (forall @t187 (or @t165 @t186 @t43 @t95))) % 33.95/34.17 (assume @p141 (forall @t172 (or @t171 (tptp.perp @t17 @t15 @t19 @t16)))) % 33.95/34.17 (assume @p142 (forall @t143 (or @t48 @t118 @t68 @t119 (not (tptp.s_col @t18 @t24 @t19)) @t178))) % 33.95/34.17 (assume @p143 (forall @t47 (and (or @t48 (tptp.perp @t15 @t17 @t188 @t15) @t67) (or @t48 (tptp.s_col @t15 @t17 @t189) @t67) (or @t48 (tptp.s_t @t18 @t189 @t188) @t67)))) % 33.95/34.17 (assume @p144 (forall @t47 (and (or @t48 (tptp.perp @t15 @t17 @t190 @t15)) (or @t48 (tptp.s_col @t15 @t17 @t191)) (or @t48 (tptp.s_t @t18 @t191 @t190))))) % 33.95/34.17 (assume @p145 (forall (@list @t15 @t19 @t17 @t16 @t192) (or (not (tptp.le @t15 @t19 @t17 @t16)) (not (tptp.perp @t15 @t17 @t15 @t19)) (not (tptp.perp @t15 @t17 @t17 @t16)) @t194 @t193 (tptp.s_m @t15 (tptp.midpointAux @t15 @t17 @t19 @t16 @t192) @t17)))) % 33.95/34.17 (assume @p146 (forall @t23 (tptp.s_m @t15 @t195 @t17))) % 33.95/34.17 (assume @p147 @t205) % 33.95/34.17 (assume @p148 @t208) % 33.95/34.17 (assume @p149 (not @t210)) % 33.95/34.17 (assume @p150 (forall (@list @t15 @t17 @t32 @t31) (= @t64 (tptp.ext (tptp.ext @t31 @t32 tptp.alpha tptp.gamma) @t32 @t15 @t17)))) % 33.95/34.17 (assume @p151 (forall @t225 (and (or @t224 @t40) (or @t224 @t222) (or @t224 @t221) (or @t224 @t219) (or @t224 @t217) (or @t224 @t216) (or @t41 @t223 (not @t221) @t220 @t218 (not @t216) @t215)))) % 33.95/34.17 (assume @p152 (forall @t225 (and (or @t229 @t40) (or @t229 @t222) (or @t229 @t228) (or @t229 @t219) (or @t229 @t217) (or @t229 @t227) (or @t41 @t223 (not @t228) @t220 @t218 (not @t227) @t226)))) % 33.95/34.17 (assume @p153 (forall (@list @t32 @t144 @t231 @t34 @t148 @t230) (and (or @t236 @t235) (or @t236 @t234) (or @t236 @t233) (or (not @t235) (not @t234) (not @t233) @t232)))) % 33.95/34.17 (assume @p154 (forall @t47 (and (or @t68 @t40 @t237 @t114) (or @t67 @t41) (or @t67 (not @t237)) (or @t67 @t115)))) % 33.95/34.17 (assume @p155 (forall @t62 (and (or @t71 @t67) (or @t71 @t65) (or @t71 @t238) (or @t71 @t61) (or @t68 @t66 (not @t238) (not @t61) @t70)))) % 33.95/34.17 (assume @p156 (forall (@list @t15 @t17 @t18 @t24 @t2) (and (or @t80 (tptp.s_t @t18 @t77 @t24)) (or @t80 (tptp.s_e @t15 @t17 @t18 @t77)) (or (not (tptp.s_t @t18 @t2 @t24)) (not (tptp.s_e @t15 @t17 @t18 @t2)) @t79)))) % 33.95/34.17 (assume @p157 (forall @t97 (and @t96 @t94 (or @t92 @t105 @t239) (or @t107 @t90 (= tptp.xb @t19) @t85) (or (not @t239) @t90 @t89 @t85)))) % 33.95/34.17 (assume @p158 (forall @t125 (and (or @t124 @t240) (or @t124 @t141) (or (not @t240) @t142 @t123)))) % 33.95/34.17 (assume @p159 (forall @t151 (and (or @t150 @t162) (or @t150 @t160) (or @t150 @t158) (or @t150 @t156) (or @t150 @t154) (or @t150 @t152) (or @t163 @t161 @t159 @t157 @t155 @t153 @t149)))) % 33.95/34.17 (assume @p160 (forall @t47 (and (or @t165 @t241) (or @t164 (not @t241))))) % 33.95/34.17 (assume @p161 (forall (@list @t2 @t7 @t1 @t13 @t12 @t176 @t6) (and (or @t251 @t246) (or @t251 @t244) (or @t251 (not @t249)) (or @t251 (not @t248)) (or @t251 (not (tptp.s_col @t2 @t7 @t176)) (not (tptp.s_col @t13 @t12 @t6)) (tptp.s_r @t176 @t1 @t6)) (or @t250 @t249 @t248 @t247 @t245 (tptp.s_col @t2 @t7 @t243)) (or @t250 @t249 @t248 @t247 @t245 (tptp.s_col @t13 @t12 @t242)) (or @t250 @t249 @t248 @t247 @t245 (not (tptp.s_r @t243 @t1 @t242)))))) % 33.95/34.17 (assume @p162 (forall (@list @t19 @t16 @t253 @t252 @t1) (and (or (not @t254) (tptp.perpAt @t19 @t16 (tptp.il @t19 @t16 @t253 @t252) @t253 @t252)) (or @t254 (not (tptp.perpAt @t19 @t16 @t1 @t253 @t252)))))) % 33.95/34.17 (assume @p163 true) % 33.95/34.17 (step @p164 :rule evaluate :args ((= false true))) % 33.95/34.17 (step @p165 :rule aci_norm :args ((= (or @t202 @t201 @t193 @t194 @t200 @t199 false @t255) (or @t202 @t201 @t193 @t194 @t200 @t199 @t255)))) % 33.95/34.17 (step @p166 :rule refl :args (@t255)) % 33.95/34.17 (step @p167 :rule evaluate :args ((not true))) % 33.95/34.17 (step @p168 :rule eq-refl :args (@t197)) % 33.95/34.17 (step @p169 :rule cong :premises (@p168) :args (@t256)) % 33.95/34.17 (step @p170 :rule trans :premises (@p169 @p167)) % 33.95/34.17 (step @p171 :rule refl :args (@t199)) % 33.95/34.17 (step @p172 :rule refl :args (@t200)) % 33.95/34.17 (step @p173 :rule refl :args (@t194)) % 33.95/34.17 (step @p174 :rule refl :args (@t193)) % 33.95/34.17 (step @p175 :rule refl :args (@t201)) % 33.95/34.17 (step @p176 :rule refl :args (@t202)) % 33.95/34.17 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174 @p173 @p172 @p171 @p170 @p166) :args (@t257)) % 33.95/34.17 (step @p178 :rule trans :premises (@p177 @p165)) % 33.95/34.17 (step @p179 :rule cong :premises (@p178) :args ((forall @t209 @t257))) % 33.95/34.17 (step @p180 :rule quant-var-elim-eq :args ((= (forall @t259 @t258) @t257))) % 33.95/34.17 (step @p181 :rule aci_norm :args ((= @t207 @t258))) % 33.95/34.17 (step @p182 :rule cong :premises (@p181) :args (@t260)) % 33.95/34.17 (step @p183 :rule trans :premises (@p182 @p180)) % 33.95/34.17 (step @p184 :rule cong :premises (@p183) :args (@t261)) % 33.95/34.17 (step @p185 :rule quant-merge-prenex :args ((= @t261 @t208))) % 33.95/34.17 (step @p186 :rule symm :premises (@p185)) % 33.95/34.17 (step @p187 :rule trans :premises (@p186 @p184)) % 33.95/34.17 (step @p188 :rule trans :premises (@p187 @p179)) % 33.95/34.17 (step @p189 :rule eq_resolve :premises (@p148 @p188)) % 33.95/34.17 (step @p190 :rule instantiate :premises (@p189) :args (@t268)) % 33.95/34.17 (step @p191 :rule skolemize :premises (@p149)) % 33.95/34.17 (step @p192 :rule bool-double-not-elim :args (@t269)) % 33.95/34.17 (step @p193 :rule refl :args (@t283)) % 33.95/34.17 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t283 (not @t272)))) % 33.95/34.17 (step @p195 :rule cnf_or_neg :args (@t283 5)) % 33.95/34.17 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 33.95/34.17 (step @p197 :rule reordering :premises (@p196) :args ((or @t269 @t283))) % 33.95/34.17 (step @p198 :rule chain_m_resolution :premises (@p197 @p191) :args (@t269 @t284 @t285)) % 33.95/34.17 (step @p199 :rule bool-double-not-elim :args (@t273)) % 33.95/34.17 (step @p200 :rule nary_cong :premises (@p193 @p199) :args ((or @t283 (not @t274)))) % 33.95/34.17 (step @p201 :rule cnf_or_neg :args (@t283 4)) % 33.95/34.17 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 33.95/34.17 (step @p203 :rule reordering :premises (@p202) :args ((or @t273 @t283))) % 33.95/34.17 (step @p204 :rule chain_m_resolution :premises (@p203 @p191) :args (@t273 @t284 @t285)) % 33.95/34.17 (step @p205 :rule bool-double-not-elim :args (@t275)) % 33.95/34.17 (step @p206 :rule nary_cong :premises (@p193 @p205) :args ((or @t283 (not @t276)))) % 33.95/34.17 (step @p207 :rule cnf_or_neg :args (@t283 3)) % 33.95/34.17 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 33.95/34.17 (step @p209 :rule reordering :premises (@p208) :args ((or @t275 @t283))) % 33.95/34.17 (step @p210 :rule chain_m_resolution :premises (@p209 @p191) :args (@t275 @t284 @t285)) % 33.95/34.17 (step @p211 :rule bool-double-not-elim :args (@t277)) % 33.95/34.17 (step @p212 :rule nary_cong :premises (@p193 @p211) :args ((or @t283 (not @t278)))) % 33.95/34.17 (step @p213 :rule cnf_or_neg :args (@t283 2)) % 33.95/34.17 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 33.95/34.17 (step @p215 :rule reordering :premises (@p214) :args ((or @t277 @t283))) % 33.95/34.17 (step @p216 :rule chain_m_resolution :premises (@p215 @p191) :args (@t277 @t284 @t285)) % 33.95/34.17 (step @p217 :rule bool-double-not-elim :args (@t279)) % 33.95/34.17 (step @p218 :rule nary_cong :premises (@p193 @p217) :args ((or @t283 (not @t280)))) % 33.95/34.17 (step @p219 :rule cnf_or_neg :args (@t283 1)) % 33.95/34.17 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 33.95/34.17 (step @p221 :rule reordering :premises (@p220) :args ((or @t279 @t283))) % 33.95/34.17 (step @p222 :rule chain_m_resolution :premises (@p221 @p191) :args (@t279 @t284 @t285)) % 33.95/34.17 (step @p223 :rule bool-double-not-elim :args (@t281)) % 33.95/34.17 (step @p224 :rule nary_cong :premises (@p193 @p223) :args ((or @t283 (not @t282)))) % 33.95/34.17 (step @p225 :rule cnf_or_neg :args (@t283 0)) % 33.95/34.17 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 33.95/34.17 (step @p227 :rule reordering :premises (@p226) :args ((or @t281 @t283))) % 33.95/34.17 (step @p228 :rule chain_m_resolution :premises (@p227 @p191) :args (@t281 @t284 @t285)) % 33.95/34.17 (step @p229 :rule cnf_or_pos :args (@t288)) % 33.95/34.17 (step @p230 :rule reordering :premises (@p229) :args ((or @t282 @t280 @t278 @t276 @t274 @t272 @t287 (not @t288)))) % 33.95/34.17 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p222 @p216 @p210 @p204 @p198 @p190) :args (@t287 @t289 (@list @t281 @t279 @t277 @t275 @t273 @t269 @t288))) % 33.95/34.17 (step @p232 :rule true_intro :premises (@p231)) % 33.95/34.17 (step @p233 :rule refl :args (@t262)) % 33.95/34.17 (step @p234 :rule instantiate :premises (@p109) :args ((@list @t266 @t270 @t265 @t286))) % 33.95/34.17 (step @p235 :rule aci_norm :args ((= (or @t202 @t201 @t193 @t194 @t200 @t199 false @t290) (or @t202 @t201 @t193 @t194 @t200 @t199 @t290)))) % 33.95/34.17 (step @p236 :rule refl :args (@t290)) % 33.95/34.17 (step @p237 :rule nary_cong :premises (@p176 @p175 @p174 @p173 @p172 @p171 @p170 @p236) :args (@t291)) % 33.95/34.17 (step @p238 :rule trans :premises (@p237 @p235)) % 33.95/34.17 (step @p239 :rule cong :premises (@p238) :args ((forall @t209 @t291))) % 33.95/34.17 (step @p240 :rule quant-var-elim-eq :args ((= (forall @t259 @t292) @t291))) % 33.95/34.17 (step @p241 :rule aci_norm :args ((= @t203 @t292))) % 33.95/34.17 (step @p242 :rule cong :premises (@p241) :args (@t293)) % 33.95/34.17 (step @p243 :rule trans :premises (@p242 @p240)) % 33.95/34.17 (step @p244 :rule cong :premises (@p243) :args (@t294)) % 33.95/34.17 (step @p245 :rule quant-merge-prenex :args ((= @t294 @t205))) % 33.95/34.17 (step @p246 :rule symm :premises (@p245)) % 33.95/34.17 (step @p247 :rule trans :premises (@p246 @p244)) % 33.95/34.17 (step @p248 :rule trans :premises (@p247 @p239)) % 33.95/34.17 (step @p249 :rule eq_resolve :premises (@p147 @p248)) % 33.95/34.17 (step @p250 :rule instantiate :premises (@p249) :args (@t268)) % 33.95/34.17 (step @p251 :rule cnf_or_pos :args (@t296)) % 33.95/34.17 (step @p252 :rule reordering :premises (@p251) :args ((or @t282 @t280 @t278 @t276 @t274 @t272 @t295 (not @t296)))) % 33.95/34.17 (step @p253 :rule chain_m_resolution :premises (@p252 @p228 @p222 @p216 @p210 @p204 @p198 @p250) :args (@t295 @t289 (@list @t281 @t279 @t277 @t275 @t273 @t269 @t296))) % 33.95/34.17 (step @p254 :rule instantiate :premises (@p146) :args ((@list @t266 @t265))) % 33.95/34.17 (step @p255 :rule cnf_or_pos :args (@t301)) % 33.95/34.17 (step @p256 :rule reordering :premises (@p255) :args ((or @t300 @t298 @t297 (not @t301)))) % 33.95/34.17 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p253 @p234) :args (@t297 (@list false false false) (@list @t299 @t295 @t301))) % 33.95/34.17 (step @p258 :rule refl :args (@t267)) % 33.95/34.17 (step @p259 :rule cong :premises (@p258 @p257 @p233) :args (@t271)) % 33.95/34.17 (step @p260 :rule cnf_or_neg :args (@t283 6)) % 33.95/34.17 (step @p261 :rule chain_m_resolution :premises (@p260 @p191) :args ((not @t271) @t284 @t285)) % 33.95/34.17 (step @p262 :rule false_intro :premises (@p261)) % 33.95/34.17 (step @p263 :rule symm :premises (@p262)) % 33.95/34.17 (step @p264 :rule trans :premises (@p263 @p259 @p232)) % 33.95/34.17 (step @p265 false :rule eq_resolve :premises (@p264 @p164)) % 33.95/34.17 ) % 33.95/34.17 % SZS output end Proof % 33.95/34.17 % cvc5 exiting %------------------------------------------------------------------------------