%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO517+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 : n007.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 1.23s 1.41s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO517+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 % 0.17/0.33 % Computer : n007.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 23:57:41 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 1.23/1.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.23/1.41 % SZS status Theorem % 1.23/1.41 % SZS output start Proof % 1.23/1.41 ( % 1.23/1.41 (declare-sort $$unsorted 0) % 1.23/1.41 (declare-const tptp.ss1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.f811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.opposite (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.samesideline (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.xp $$unsorted) % 1.23/1.41 (declare-const tptp.xq $$unsorted) % 1.23/1.41 (declare-const tptp.xc $$unsorted) % 1.23/1.41 (declare-const tptp.xa $$unsorted) % 1.23/1.41 (declare-const tptp.xd $$unsorted) % 1.23/1.41 (declare-const tptp.midpoint (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.midpointAux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.erect (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.erectAux21a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.foot (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.s_kf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.erect21a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.gamma $$unsorted) % 1.23/1.41 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.erectAux (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.ss3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.beta $$unsorted) % 1.23/1.41 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.s_r (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.perp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.il (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.ss2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.alpha $$unsorted) % 1.23/1.41 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.xb $$unsorted) % 1.23/1.41 (declare-const tptp.pointOffLine (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.s_m (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.f813 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.g811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.perpAt (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.41 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.isomidpoint (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (declare-const tptp.g813 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.41 (define @t1 () (@var "X" $$unsorted)) % 1.23/1.41 (define @t2 () (@var "Y" $$unsorted)) % 1.23/1.41 (define @t3 () (@list @t1 @t2)) % 1.23/1.41 (define @t4 () (@var "V2" $$unsorted)) % 1.23/1.41 (define @t5 () (@var "Z2" $$unsorted)) % 1.23/1.41 (define @t6 () (@var "V" $$unsorted)) % 1.23/1.41 (define @t7 () (@var "Z" $$unsorted)) % 1.23/1.41 (define @t8 () (= @t1 @t2)) % 1.23/1.41 (define @t9 () (@var "W" $$unsorted)) % 1.23/1.41 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 1.23/1.41 (define @t11 () (@var "V1" $$unsorted)) % 1.23/1.41 (define @t12 () (@var "Z1" $$unsorted)) % 1.23/1.41 (define @t13 () (@var "Y1" $$unsorted)) % 1.23/1.41 (define @t14 () (@var "X1" $$unsorted)) % 1.23/1.41 (define @t15 () (@var "Xa" $$unsorted)) % 1.23/1.41 (define @t16 () (@var "Xq" $$unsorted)) % 1.23/1.41 (define @t17 () (@var "Xb" $$unsorted)) % 1.23/1.41 (define @t18 () (@var "Xc" $$unsorted)) % 1.23/1.41 (define @t19 () (@var "Xp" $$unsorted)) % 1.23/1.41 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 1.23/1.41 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 1.23/1.41 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 1.23/1.41 (define @t23 () (@list @t15 @t17)) % 1.23/1.41 (define @t24 () (@var "Xd" $$unsorted)) % 1.23/1.41 (define @t25 () (tptp.s_e @t15 @t17 @t18 @t24)) % 1.23/1.41 (define @t26 () (not @t25)) % 1.23/1.41 (define @t27 () (@list @t15 @t17 @t18 @t24)) % 1.23/1.41 (define @t28 () (@var "Xf" $$unsorted)) % 1.23/1.41 (define @t29 () (@var "Xe" $$unsorted)) % 1.23/1.41 (define @t30 () (@list @t15 @t17 @t18 @t24 @t29 @t28)) % 1.23/1.41 (define @t31 () (@var "Xc1" $$unsorted)) % 1.23/1.41 (define @t32 () (@var "Xa1" $$unsorted)) % 1.23/1.41 (define @t33 () (tptp.s_e @t15 @t18 @t32 @t31)) % 1.23/1.41 (define @t34 () (@var "Xb1" $$unsorted)) % 1.23/1.41 (define @t35 () (not (tptp.s_e @t17 @t18 @t34 @t31))) % 1.23/1.41 (define @t36 () (tptp.s_e @t15 @t17 @t32 @t34)) % 1.23/1.41 (define @t37 () (not @t36)) % 1.23/1.41 (define @t38 () (tptp.s_t @t32 @t34 @t31)) % 1.23/1.41 (define @t39 () (not @t38)) % 1.23/1.41 (define @t40 () (tptp.s_t @t15 @t17 @t18)) % 1.23/1.41 (define @t41 () (not @t40)) % 1.23/1.41 (define @t42 () (@list @t15 @t17 @t18 @t32 @t34 @t31)) % 1.23/1.41 (define @t43 () (= @t17 @t18)) % 1.23/1.41 (define @t44 () (@var "XC" $$unsorted)) % 1.23/1.41 (define @t45 () (@var "XA" $$unsorted)) % 1.23/1.41 (define @t46 () (@var "XB" $$unsorted)) % 1.23/1.41 (define @t47 () (@list @t15 @t17 @t18)) % 1.23/1.41 (define @t48 () (= @t15 @t17)) % 1.23/1.41 (define @t49 () (tptp.s_t @t17 @t18 @t24)) % 1.23/1.41 (define @t50 () (not @t49)) % 1.23/1.41 (define @t51 () (tptp.s_t @t15 @t17 @t24)) % 1.23/1.41 (define @t52 () (not @t51)) % 1.23/1.41 (define @t53 () (@list @t15 @t17 @t24 @t18)) % 1.23/1.41 (define @t54 () (tptp.s_t @t15 @t18 @t24)) % 1.23/1.41 (define @t55 () (not @t54)) % 1.23/1.41 (define @t56 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 1.23/1.41 (define @t57 () (tptp.crossbar @t15 @t17 @t18 @t32 @t34 @t19)) % 1.23/1.41 (define @t58 () (not (tptp.s_t @t15 @t19 @t32))) % 1.23/1.41 (define @t59 () (not (tptp.s_t @t32 @t34 @t18))) % 1.23/1.41 (define @t60 () (@var "Xd1" $$unsorted)) % 1.23/1.41 (define @t61 () (tptp.s_e @t17 @t24 @t34 @t60)) % 1.23/1.41 (define @t62 () (@list @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 1.23/1.41 (define @t63 () (not @t33)) % 1.23/1.41 (define @t64 () (tptp.insert @t15 @t17 @t32 @t31)) % 1.23/1.41 (define @t65 () (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 @t31)) % 1.23/1.41 (define @t66 () (not @t65)) % 1.23/1.41 (define @t67 () (tptp.s_col @t15 @t17 @t18)) % 1.23/1.41 (define @t68 () (not @t67)) % 1.23/1.41 (define @t69 () (tptp.s_e @t18 @t24 @t31 @t60)) % 1.23/1.41 (define @t70 () (tptp.s_fs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 1.23/1.41 (define @t71 () (not @t70)) % 1.23/1.41 (define @t72 () (@list @t15 @t17 @t18 @t19 @t16)) % 1.23/1.41 (define @t73 () (= @t18 @t31)) % 1.23/1.41 (define @t74 () (not (tptp.s_e @t17 @t18 @t17 @t31))) % 1.23/1.41 (define @t75 () (not (tptp.s_e @t15 @t18 @t15 @t31))) % 1.23/1.41 (define @t76 () (tptp.s_t @t15 @t18 @t17)) % 1.23/1.41 (define @t77 () (tptp.insert @t15 @t17 @t18 @t24)) % 1.23/1.41 (define @t78 () (tptp.ins @t18 @t24 @t15 @t17)) % 1.23/1.41 (define @t79 () (tptp.le @t15 @t17 @t18 @t24)) % 1.23/1.41 (define @t80 () (not @t79)) % 1.23/1.41 (define @t81 () (tptp.le @t18 @t24 @t15 @t17)) % 1.23/1.41 (define @t82 () (tptp.le @t15 @t17 @t15 @t18)) % 1.23/1.41 (define @t83 () (tptp.le @t17 @t18 @t15 @t18)) % 1.23/1.41 (define @t84 () (= @t18 @t17)) % 1.23/1.41 (define @t85 () (tptp.sameside @t15 @t19 @t17)) % 1.23/1.41 (define @t86 () (tptp.s_t @t17 @t19 @t18)) % 1.23/1.41 (define @t87 () (not @t86)) % 1.23/1.41 (define @t88 () (= @t18 @t19)) % 1.23/1.41 (define @t89 () (= @t17 @t19)) % 1.23/1.41 (define @t90 () (= @t15 @t19)) % 1.23/1.41 (define @t91 () (@list @t15 @t19 @t17 @t18)) % 1.23/1.41 (define @t92 () (not @t85)) % 1.23/1.41 (define @t93 () (tptp.c63 @t15 @t19 @t17)) % 1.23/1.41 (define @t94 () (or @t92 (not @t89))) % 1.23/1.41 (define @t95 () (not @t90)) % 1.23/1.41 (define @t96 () (or @t92 @t95)) % 1.23/1.41 (define @t97 () (@list @t15 @t19 @t17)) % 1.23/1.41 (define @t98 () (tptp.s_t @t15 @t19 @t17)) % 1.23/1.41 (define @t99 () (tptp.s_col @t15 @t19 @t17)) % 1.23/1.41 (define @t100 () (@list @t15 @t19)) % 1.23/1.41 (define @t101 () (@var "Xr" $$unsorted)) % 1.23/1.41 (define @t102 () (tptp.insert @t17 @t18 @t15 @t101)) % 1.23/1.41 (define @t103 () (= @t101 @t15)) % 1.23/1.41 (define @t104 () (= @t19 @t16)) % 1.23/1.41 (define @t105 () (tptp.s_t @t19 @t15 @t17)) % 1.23/1.41 (define @t106 () (tptp.le @t19 @t15 @t19 @t17)) % 1.23/1.41 (define @t107 () (not @t105)) % 1.23/1.41 (define @t108 () (tptp.sameside @t15 @t19 @t101)) % 1.23/1.41 (define @t109 () (tptp.sameside @t15 @t19 @t16)) % 1.23/1.41 (define @t110 () (tptp.s_col @t15 @t19 @t16)) % 1.23/1.41 (define @t111 () (not (tptp.s_t @t16 @t19 @t101))) % 1.23/1.41 (define @t112 () (= @t19 @t101)) % 1.23/1.41 (define @t113 () (@list @t19 @t16 @t101 @t15)) % 1.23/1.41 (define @t114 () (tptp.s_t @t18 @t15 @t17)) % 1.23/1.41 (define @t115 () (not @t114)) % 1.23/1.41 (define @t116 () (@var "Xcs" $$unsorted)) % 1.23/1.41 (define @t117 () (not (tptp.s_col @t19 @t16 @t101))) % 1.23/1.41 (define @t118 () (not (tptp.s_col @t19 @t16 @t116))) % 1.23/1.41 (define @t119 () (tptp.s_col @t19 @t16 @t17)) % 1.23/1.41 (define @t120 () (not @t119)) % 1.23/1.41 (define @t121 () (tptp.s_col @t19 @t16 @t15)) % 1.23/1.41 (define @t122 () (not @t121)) % 1.23/1.41 (define @t123 () (= @t18 @t24)) % 1.23/1.41 (define @t124 () (not (tptp.s_col @t15 @t17 @t24))) % 1.23/1.41 (define @t125 () (tptp.s_col @t19 @t16 @t18)) % 1.23/1.41 (define @t126 () (not @t125)) % 1.23/1.41 (define @t127 () (not (tptp.sameside @t15 @t17 @t18))) % 1.23/1.41 (define @t128 () (@var "Xm" $$unsorted)) % 1.23/1.41 (define @t129 () (tptp.s_m @t15 @t128 @t17)) % 1.23/1.41 (define @t130 () (not @t129)) % 1.23/1.41 (define @t131 () (@list @t15 @t128 @t17)) % 1.23/1.41 (define @t132 () (= @t128 @t15)) % 1.23/1.41 (define @t133 () (tptp.s_m @t15 @t128 @t15)) % 1.23/1.41 (define @t134 () (@list @t15 @t128)) % 1.23/1.41 (define @t135 () (tptp.s @t15 @t19)) % 1.23/1.41 (define @t136 () (not (tptp.s_m @t19 @t15 @t16))) % 1.23/1.41 (define @t137 () (tptp.s @t15 @t16)) % 1.23/1.41 (define @t138 () (= @t19 @t15)) % 1.23/1.41 (define @t139 () (= @t135 @t19)) % 1.23/1.41 (define @t140 () (tptp.s @t15 @t101)) % 1.23/1.41 (define @t141 () (tptp.s_t @t135 @t137 @t140)) % 1.23/1.41 (define @t142 () (tptp.s_t @t19 @t16 @t101)) % 1.23/1.41 (define @t143 () (tptp.s_e @t135 @t137 @t140 (tptp.s @t15 @t116))) % 1.23/1.41 (define @t144 () (tptp.s_e @t19 @t16 @t101 @t116)) % 1.23/1.41 (define @t145 () (@list @t19 @t16 @t101 @t116 @t15)) % 1.23/1.41 (define @t146 () (tptp.s @t17 @t19)) % 1.23/1.41 (define @t147 () (tptp.s_e @t128 @t15 @t128 @t17)) % 1.23/1.41 (define @t148 () (not @t147)) % 1.23/1.41 (define @t149 () (@list @t15 @t17 @t18 @t24 @t19)) % 1.23/1.41 (define @t150 () (@var "Xa2" $$unsorted)) % 1.23/1.41 (define @t151 () (@var "Xm2" $$unsorted)) % 1.23/1.41 (define @t152 () (@var "Xm1" $$unsorted)) % 1.23/1.41 (define @t153 () (tptp.s_t @t152 @t18 @t151)) % 1.23/1.41 (define @t154 () (@var "Xb2" $$unsorted)) % 1.23/1.41 (define @t155 () (tptp.s_kf @t32 @t152 @t34 @t18 @t154 @t151 @t150)) % 1.23/1.41 (define @t156 () (not @t155)) % 1.23/1.41 (define @t157 () (@list @t32 @t152 @t34 @t18 @t154 @t151 @t150)) % 1.23/1.41 (define @t158 () (tptp.s_m @t150 @t151 @t154)) % 1.23/1.41 (define @t159 () (not @t158)) % 1.23/1.41 (define @t160 () (tptp.s_m @t32 @t152 @t34)) % 1.23/1.41 (define @t161 () (not @t160)) % 1.23/1.41 (define @t162 () (tptp.s_e @t18 @t150 @t18 @t154)) % 1.23/1.41 (define @t163 () (not @t162)) % 1.23/1.41 (define @t164 () (tptp.s_e @t18 @t32 @t18 @t34)) % 1.23/1.41 (define @t165 () (not @t164)) % 1.23/1.41 (define @t166 () (tptp.s_t @t34 @t18 @t154)) % 1.23/1.41 (define @t167 () (not @t166)) % 1.23/1.41 (define @t168 () (tptp.s_t @t32 @t18 @t150)) % 1.23/1.41 (define @t169 () (not @t168)) % 1.23/1.41 (define @t170 () (tptp.s_r @t15 @t17 @t18)) % 1.23/1.41 (define @t171 () (not @t170)) % 1.23/1.41 (define @t172 () (tptp.s_r @t32 @t17 @t18)) % 1.23/1.41 (define @t173 () (@list @t15 @t17 @t18 @t32)) % 1.23/1.41 (define @t174 () (tptp.s @t17 @t18)) % 1.23/1.41 (define @t175 () (tptp.perpAt @t15 @t17 @t18 @t19 @t16)) % 1.23/1.41 (define @t176 () (not @t175)) % 1.23/1.41 (define @t177 () (not (tptp.perp @t15 @t17 @t19 @t16))) % 1.23/1.41 (define @t178 () (@list @t15 @t17 @t19 @t16)) % 1.23/1.41 (define @t179 () (tptp.g813 @t15 @t17 @t19 @t16 @t18)) % 1.23/1.41 (define @t180 () (tptp.f813 @t15 @t17 @t19 @t16 @t18)) % 1.23/1.41 (define @t181 () (not @t104)) % 1.23/1.41 (define @t182 () (@var "Xcx" $$unsorted)) % 1.23/1.41 (define @t183 () (@var "U" $$unsorted)) % 1.23/1.41 (define @t184 () (not (tptp.s_col @t15 @t17 @t16))) % 1.23/1.41 (define @t185 () (tptp.s_col @t15 @t17 @t19)) % 1.23/1.41 (define @t186 () (not @t185)) % 1.23/1.41 (define @t187 () (@list @t15 @t17 @t19 @t16 @t18)) % 1.23/1.41 (define @t188 () (tptp.il @t15 @t17 @t19 @t16)) % 1.23/1.41 (define @t189 () (tptp.perp @t15 @t17 @t18 @t24)) % 1.23/1.41 (define @t190 () (not @t189)) % 1.23/1.41 (define @t191 () (tptp.perp @t15 @t17 @t18 @t19)) % 1.23/1.41 (define @t192 () (not @t191)) % 1.23/1.41 (define @t193 () (tptp.s_r @t18 @t19 @t16)) % 1.23/1.41 (define @t194 () (= @t16 @t19)) % 1.23/1.41 (define @t195 () (tptp.foot @t15 @t17 @t18)) % 1.23/1.41 (define @t196 () (not (tptp.s_m (tptp.s @t15 @t18) @t19 @t174))) % 1.23/1.41 (define @t197 () (@list @t15 @t17 @t18 @t19)) % 1.23/1.41 (define @t198 () (tptp.erect21a @t15 @t17 @t18)) % 1.23/1.41 (define @t199 () (tptp.erectAux21a @t15 @t17 @t18)) % 1.23/1.41 (define @t200 () (tptp.erect @t15 @t17 @t18)) % 1.23/1.41 (define @t201 () (tptp.erectAux @t15 @t17 @t18)) % 1.23/1.41 (define @t202 () (@var "Xt" $$unsorted)) % 1.23/1.41 (define @t203 () (not (tptp.s_col @t15 @t17 @t202))) % 1.23/1.41 (define @t204 () (not (tptp.s_t @t19 @t202 @t16))) % 1.23/1.41 (define @t205 () (tptp.midpoint @t15 @t17)) % 1.23/1.41 (define @t206 () (not (= @t182 (tptp.ip @t19 @t202 @t16 @t17 @t101)))) % 1.23/1.41 (define @t207 () (not (tptp.s_e @t15 @t19 @t17 @t101))) % 1.23/1.41 (define @t208 () (not (tptp.s_t @t17 @t101 @t16))) % 1.23/1.41 (define @t209 () (not (tptp.perp @t16 @t17 @t15 @t17))) % 1.23/1.41 (define @t210 () (not (tptp.perp @t19 @t15 @t15 @t17))) % 1.23/1.41 (define @t211 () (@list @t19 @t15 @t17 @t16 @t202 @t101 @t182)) % 1.23/1.41 (define @t212 () (tptp.s_col @t15 @t18 @t24)) % 1.23/1.41 (define @t213 () (tptp.perp @t19 @t16 @t18 @t24)) % 1.23/1.41 (define @t214 () (@list @t15 @t17 @t19 @t16 @t18 @t24)) % 1.23/1.41 (define @t215 () (= @t15 @t18)) % 1.23/1.41 (define @t216 () (not (tptp.samesideline @t19 @t16 @t15 @t17))) % 1.23/1.41 (define @t217 () (tptp.opposite @t15 @t19 @t16 @t17)) % 1.23/1.41 (define @t218 () (not @t217)) % 1.23/1.41 (define @t219 () (tptp.opposite @t17 @t19 @t16 @t18)) % 1.23/1.41 (define @t220 () (not (tptp.sameside @t15 @t101 @t17))) % 1.23/1.41 (define @t221 () (not (tptp.s_m @t15 @t128 @t18))) % 1.23/1.41 (define @t222 () (not (tptp.s_col @t19 @t16 @t128))) % 1.23/1.41 (define @t223 () (not (tptp.opposite @t15 @t19 @t16 @t18))) % 1.23/1.41 (define @t224 () (@list @t15 @t19 @t16 @t18 @t128 @t101 @t17)) % 1.23/1.41 (define @t225 () (tptp.sameside (tptp.s @t128 @t183) @t116 @t18)) % 1.23/1.41 (define @t226 () (= @t101 @t116)) % 1.23/1.41 (define @t227 () (not (tptp.le @t116 @t18 @t101 @t15))) % 1.23/1.41 (define @t228 () (tptp.sameside @t183 @t101 @t15)) % 1.23/1.41 (define @t229 () (not @t228)) % 1.23/1.41 (define @t230 () (not (tptp.s_m @t101 @t128 @t116))) % 1.23/1.41 (define @t231 () (not (tptp.perp @t19 @t16 @t18 @t116))) % 1.23/1.41 (define @t232 () (not (tptp.perp @t19 @t16 @t15 @t101))) % 1.23/1.41 (define @t233 () (@list @t15 @t19 @t16 @t18 @t116 @t101 @t128 @t183)) % 1.23/1.41 (define @t234 () (forall @t233 (or @t223 @t104 @t118 @t117 @t232 @t231 @t230 @t229 @t227 @t226 @t225))) % 1.23/1.41 (define @t235 () (not @t226)) % 1.23/1.41 (define @t236 () (or @t223 @t104 @t118 @t117 @t232 @t231 @t230 @t229 @t235 @t225)) % 1.23/1.41 (define @t237 () (forall @t233 @t236)) % 1.23/1.41 (define @t238 () (forall @t233 (or @t223 @t104 @t118 @t117 @t232 @t231 @t230 @t229 @t225))) % 1.23/1.41 (define @t239 () (@var "Zd" $$unsorted)) % 1.23/1.41 (define @t240 () (@var "Zc" $$unsorted)) % 1.23/1.41 (define @t241 () (@var "Zb" $$unsorted)) % 1.23/1.41 (define @t242 () (@var "Za" $$unsorted)) % 1.23/1.41 (define @t243 () (tptp.s_afs @t15 @t17 @t18 @t24 @t242 @t241 @t240 @t239)) % 1.23/1.41 (define @t244 () (tptp.s_e @t17 @t24 @t241 @t239)) % 1.23/1.41 (define @t245 () (tptp.s_e @t15 @t24 @t242 @t239)) % 1.23/1.41 (define @t246 () (not @t245)) % 1.23/1.41 (define @t247 () (tptp.s_e @t17 @t18 @t241 @t240)) % 1.23/1.41 (define @t248 () (not @t247)) % 1.23/1.41 (define @t249 () (tptp.s_e @t15 @t17 @t242 @t241)) % 1.23/1.41 (define @t250 () (tptp.s_t @t242 @t241 @t240)) % 1.23/1.41 (define @t251 () (not @t250)) % 1.23/1.41 (define @t252 () (not @t243)) % 1.23/1.41 (define @t253 () (@list @t15 @t17 @t18 @t24 @t242 @t241 @t240 @t239)) % 1.23/1.41 (define @t254 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t242 @t241 @t240 @t239)) % 1.23/1.41 (define @t255 () (tptp.s_e @t18 @t24 @t240 @t239)) % 1.23/1.41 (define @t256 () (tptp.s_e @t15 @t18 @t242 @t240)) % 1.23/1.41 (define @t257 () (not @t254)) % 1.23/1.41 (define @t258 () (@var "Xb3" $$unsorted)) % 1.23/1.41 (define @t259 () (@var "Xa3" $$unsorted)) % 1.23/1.41 (define @t260 () (tptp.s_e3 @t32 @t150 @t259 @t34 @t154 @t258)) % 1.23/1.41 (define @t261 () (tptp.s_e @t150 @t259 @t154 @t258)) % 1.23/1.41 (define @t262 () (tptp.s_e @t32 @t259 @t34 @t258)) % 1.23/1.41 (define @t263 () (tptp.s_e @t32 @t150 @t34 @t154)) % 1.23/1.41 (define @t264 () (not @t260)) % 1.23/1.41 (define @t265 () (tptp.s_t @t17 @t18 @t15)) % 1.23/1.41 (define @t266 () (tptp.s_e @t15 @t24 @t32 @t60)) % 1.23/1.41 (define @t267 () (tptp.s_t @t19 @t17 @t15)) % 1.23/1.41 (define @t268 () (tptp.s_t @t15 @t128 @t17)) % 1.23/1.41 (define @t269 () (tptp.s_e @t15 @t18 @t15 @t174)) % 1.23/1.41 (define @t270 () (tptp.g811 @t2 @t7 @t13 @t12 @t1)) % 1.23/1.41 (define @t271 () (tptp.f811 @t2 @t7 @t13 @t12 @t1)) % 1.23/1.41 (define @t272 () (tptp.s_col @t13 @t12 @t1)) % 1.23/1.41 (define @t273 () (not @t272)) % 1.23/1.41 (define @t274 () (tptp.s_col @t2 @t7 @t1)) % 1.23/1.41 (define @t275 () (not @t274)) % 1.23/1.41 (define @t276 () (= @t13 @t12)) % 1.23/1.41 (define @t277 () (= @t2 @t7)) % 1.23/1.41 (define @t278 () (tptp.perpAt @t2 @t7 @t1 @t13 @t12)) % 1.23/1.41 (define @t279 () (not @t278)) % 1.23/1.41 (define @t280 () (@var "Xq1" $$unsorted)) % 1.23/1.41 (define @t281 () (@var "Xp1" $$unsorted)) % 1.23/1.41 (define @t282 () (tptp.perp @t19 @t16 @t281 @t280)) % 1.23/1.41 (define @t283 () (tptp.samesideline @t15 @t17 @t19 @t16)) % 1.23/1.41 (define @t284 () (@var "Xv" $$unsorted)) % 1.23/1.41 (define @t285 () (@var "Xu" $$unsorted)) % 1.23/1.41 (define @t286 () (not @t283)) % 1.23/1.41 (define @t287 () (tptp.ss2 @t15 @t17 @t19 @t16)) % 1.23/1.41 (define @t288 () (tptp.ss3 @t15 @t17 @t19 @t16)) % 1.23/1.41 (define @t289 () (tptp.ss1 @t15 @t17 @t19 @t16)) % 1.23/1.41 (define @t290 () (@quantifiers_skolemize @t238 3)) % 1.23/1.41 (define @t291 () (@quantifiers_skolemize @t238 2)) % 1.23/1.41 (define @t292 () (@quantifiers_skolemize @t238 1)) % 1.23/1.41 (define @t293 () (@quantifiers_skolemize @t238 0)) % 1.23/1.41 (define @t294 () (tptp.opposite @t293 @t292 @t291 @t290)) % 1.23/1.41 (define @t295 () (@quantifiers_skolemize @t238 4)) % 1.23/1.41 (define @t296 () (@quantifiers_skolemize @t238 7)) % 1.23/1.41 (define @t297 () (@quantifiers_skolemize @t238 6)) % 1.23/1.41 (define @t298 () (tptp.s @t297 @t296)) % 1.23/1.41 (define @t299 () (tptp.sameside @t298 @t295 @t290)) % 1.23/1.41 (define @t300 () (@quantifiers_skolemize @t238 5)) % 1.23/1.41 (define @t301 () (tptp.sameside @t296 @t300 @t293)) % 1.23/1.41 (define @t302 () (not @t301)) % 1.23/1.41 (define @t303 () (tptp.s_m @t300 @t297 @t295)) % 1.23/1.41 (define @t304 () (not @t303)) % 1.23/1.41 (define @t305 () (tptp.perp @t292 @t291 @t290 @t295)) % 1.23/1.41 (define @t306 () (not @t305)) % 1.23/1.41 (define @t307 () (tptp.perp @t292 @t291 @t293 @t300)) % 1.23/1.41 (define @t308 () (not @t307)) % 1.23/1.41 (define @t309 () (tptp.s_col @t292 @t291 @t300)) % 1.23/1.41 (define @t310 () (not @t309)) % 1.23/1.41 (define @t311 () (tptp.s_col @t292 @t291 @t295)) % 1.23/1.41 (define @t312 () (not @t311)) % 1.23/1.41 (define @t313 () (= @t292 @t291)) % 1.23/1.41 (define @t314 () (not @t294)) % 1.23/1.41 (define @t315 () (or @t314 @t313 @t312 @t310 @t308 @t306 @t304 @t302 @t299)) % 1.23/1.41 (define @t316 () (@list true)) % 1.23/1.41 (define @t317 () (@list @t315)) % 1.23/1.41 (define @t318 () (tptp.le @t295 @t290 @t300 @t293)) % 1.23/1.41 (define @t319 () (not @t318)) % 1.23/1.41 (define @t320 () (or @t314 @t313 @t312 @t310 @t308 @t306 @t304 @t302 @t319 (= @t300 @t295) @t299)) % 1.23/1.41 (define @t321 () (= @t295 @t300)) % 1.23/1.41 (define @t322 () (or @t314 @t313 @t312 @t310 @t308 @t306 @t304 @t302 @t319 @t321 @t299)) % 1.23/1.41 (define @t323 () (tptp.s_m @t295 @t297 @t300)) % 1.23/1.41 (define @t324 () (or @t304 @t323)) % 1.23/1.41 (define @t325 () (@list false false)) % 1.23/1.41 (define @t326 () (tptp.opposite @t290 @t292 @t291 @t293)) % 1.23/1.41 (define @t327 () (or @t314 @t326)) % 1.23/1.41 (define @t328 () (tptp.s_m @t298 @t297 @t296)) % 1.23/1.41 (define @t329 () (tptp.s_m @t296 @t297 @t298)) % 1.23/1.41 (define @t330 () (not @t329)) % 1.23/1.41 (define @t331 () (or @t330 @t328)) % 1.23/1.41 (define @t332 () (tptp.s @t297 @t298)) % 1.23/1.41 (define @t333 () (= @t296 @t332)) % 1.23/1.41 (define @t334 () (not @t328)) % 1.23/1.41 (define @t335 () (or @t334 @t333)) % 1.23/1.41 (define @t336 () (tptp.sameside @t332 @t300 @t293)) % 1.23/1.41 (define @t337 () (not @t336)) % 1.23/1.41 (define @t338 () (tptp.le @t300 @t293 @t295 @t290)) % 1.23/1.41 (define @t339 () (not @t338)) % 1.23/1.41 (define @t340 () (not @t323)) % 1.23/1.41 (define @t341 () (not @t326)) % 1.23/1.41 (define @t342 () (or @t341 @t313 @t310 @t312 @t306 @t308 @t340 @t299 @t339 @t321 @t337)) % 1.23/1.41 (define @t343 () (or @t318 @t338)) % 1.23/1.41 (define @t344 () (tptp.sameside @t298 @t300 @t290)) % 1.23/1.41 (define @t345 () (not (tptp.sameside @t183 @t116 @t15))) % 1.23/1.41 (define @t346 () (not (tptp.s_m @t116 @t128 @t116))) % 1.23/1.41 (define @t347 () (not (tptp.perp @t19 @t16 @t15 @t116))) % 1.23/1.41 (define @t348 () (not (= @t116 @t116))) % 1.23/1.41 (define @t349 () (or @t223 @t104 @t118 @t118 @t347 @t231 @t346 @t345 @t348 @t225)) % 1.23/1.41 (define @t350 () (@list @t15 @t19 @t16 @t18 @t116 @t128 @t183)) % 1.23/1.41 (define @t351 () (or @t235 @t223 @t104 @t118 @t117 @t232 @t231 @t230 @t229 @t235 @t225)) % 1.23/1.41 (define @t352 () (@list @t101)) % 1.23/1.41 (define @t353 () (forall @t352 @t236)) % 1.23/1.41 (define @t354 () (forall @t350 @t353)) % 1.23/1.41 (define @t355 () (forall (@list @t15 @t19 @t16 @t18 @t116 @t128 @t183 @t101) @t236)) % 1.23/1.41 (define @t356 () (tptp.s_m @t300 @t297 @t300)) % 1.23/1.41 (define @t357 () (tptp.perp @t292 @t291 @t290 @t300)) % 1.23/1.41 (define @t358 () (not @t356)) % 1.23/1.41 (define @t359 () (not @t357)) % 1.23/1.41 (define @t360 () (or @t314 @t313 @t310 @t308 @t359 @t358 @t302 @t344)) % 1.23/1.41 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 1.23/1.41 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 1.23/1.41 (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))))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 1.23/1.41 (assume @p10 (forall @t27 (or @t26 (tptp.s_e @t18 @t24 @t15 @t17)))) % 1.23/1.41 (assume @p11 (forall @t30 (or @t26 (not (tptp.s_e @t18 @t24 @t29 @t28)) (tptp.s_e @t15 @t17 @t29 @t28)))) % 1.23/1.41 (assume @p12 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t18 @t24)))) % 1.23/1.41 (assume @p13 (forall @t27 (or @t26 (tptp.s_e @t15 @t17 @t24 @t18)))) % 1.23/1.41 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 1.23/1.41 (assume @p15 (forall @t42 (or @t41 @t39 @t37 @t35 @t33))) % 1.23/1.41 (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))))) % 1.23/1.41 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t43))) % 1.23/1.41 (assume @p18 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t24 @t18)))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 1.23/1.41 (assume @p21 (forall @t47 (or @t41 (tptp.s_t @t18 @t17 @t15)))) % 1.23/1.41 (assume @p22 (forall (@list @t32 @t34) (tptp.s_t @t32 @t32 @t34))) % 1.23/1.41 (assume @p23 (forall @t47 (or @t41 (not (tptp.s_t @t17 @t15 @t18)) @t48))) % 1.23/1.41 (assume @p24 (forall @t53 (or @t52 @t50 @t40))) % 1.23/1.41 (assume @p25 (forall @t27 (or @t41 @t55 @t49))) % 1.23/1.41 (assume @p26 (forall @t27 (or @t41 @t50 @t43 @t54))) % 1.23/1.41 (assume @p27 (forall @t53 (or @t52 @t50 @t54))) % 1.23/1.41 (assume @p28 (forall @t27 (or @t41 @t55 @t51))) % 1.23/1.41 (assume @p29 (forall @t27 (or @t41 @t50 @t43 @t51))) % 1.23/1.41 (assume @p30 (not (= tptp.alpha tptp.beta))) % 1.23/1.41 (assume @p31 (not (= tptp.beta tptp.gamma))) % 1.23/1.41 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 1.23/1.41 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t56))) % 1.23/1.41 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t56)))) % 1.23/1.41 (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))))) % 1.23/1.41 (assume @p36 (forall @t62 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) @t61))) % 1.23/1.41 (assume @p37 (forall @t42 (or @t41 @t39 @t63 @t35 @t36))) % 1.23/1.41 (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))))) % 1.23/1.41 (assume @p39 (forall @t42 (or @t41 @t66 @t38))) % 1.23/1.41 (assume @p40 (forall @t47 (or @t68 (tptp.s_col @t17 @t18 @t15)))) % 1.23/1.41 (assume @p41 (forall @t47 (or @t68 (tptp.s_col @t18 @t15 @t17)))) % 1.23/1.41 (assume @p42 (forall @t47 (or @t68 (tptp.s_col @t18 @t17 @t15)))) % 1.23/1.41 (assume @p43 (forall @t47 (or @t68 (tptp.s_col @t17 @t15 @t18)))) % 1.23/1.41 (assume @p44 (forall @t47 (or @t68 (tptp.s_col @t15 @t18 @t17)))) % 1.23/1.41 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 1.23/1.41 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 1.23/1.41 (assume @p47 (forall @t42 (or @t68 @t66 (tptp.s_col @t32 @t34 @t31)))) % 1.23/1.41 (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))))) % 1.23/1.41 (assume @p49 (forall @t62 (or @t71 @t48 @t69))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p51 (forall (@list @t15 @t17 @t18 @t31) (or @t48 @t68 @t75 @t74 @t73))) % 1.23/1.41 (assume @p52 (forall (@list @t15 @t18 @t17 @t31) (or (not @t76) @t75 @t74 @t73))) % 1.23/1.41 (assume @p53 (forall @t27 (or @t48 @t41 @t52 @t54 (tptp.s_t @t15 @t24 @t18)))) % 1.23/1.41 (assume @p54 (forall @t27 (or @t48 @t41 @t52 @t49 (tptp.s_t @t17 @t24 @t18)))) % 1.23/1.41 (assume @p55 (forall @t53 (or @t52 @t55 @t40 @t76))) % 1.23/1.41 (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)))))) % 1.23/1.41 (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))))) % 1.23/1.41 (assume @p58 (forall @t62 (or @t80 @t37 (not @t69) (tptp.le @t32 @t34 @t31 @t60)))) % 1.23/1.41 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 1.23/1.41 (assume @p60 (forall @t30 (or @t80 (not (tptp.le @t18 @t24 @t29 @t28)) (tptp.le @t15 @t17 @t29 @t28)))) % 1.23/1.41 (assume @p61 (forall @t27 (or @t80 (not @t81) @t25))) % 1.23/1.41 (assume @p62 (forall @t27 (or @t79 @t81))) % 1.23/1.41 (assume @p63 (forall (@list @t15 @t18 @t24) (tptp.le @t15 @t15 @t18 @t24))) % 1.23/1.41 (assume @p64 (forall @t47 (or @t68 @t41 @t82))) % 1.23/1.41 (assume @p65 (forall @t47 (or @t68 @t41 @t83))) % 1.23/1.41 (assume @p66 (forall @t47 (or @t41 (not (tptp.s_e @t15 @t18 @t15 @t17)) @t84))) % 1.23/1.41 (assume @p67 (forall @t47 (or @t68 @t40 (not @t82) (not @t83)))) % 1.23/1.41 (assume @p68 (forall @t91 (or @t90 @t89 @t88 @t22 @t87 @t85))) % 1.23/1.41 (assume @p69 (forall @t91 (or @t90 @t89 @t88 @t22 @t86 @t92))) % 1.23/1.41 (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))))) % 1.23/1.41 (assume @p71 (forall @t91 (or @t85 @t90 @t89 @t88 @t22 @t87))) % 1.23/1.41 (assume @p72 (forall @t97 (and (or @t92 @t99) (or @t92 (not @t98))))) % 1.23/1.41 (assume @p73 (forall @t97 (or @t85 (not @t99) @t98))) % 1.23/1.41 (assume @p74 (forall @t100 (or @t90 (tptp.sameside @t15 @t19 @t15)))) % 1.23/1.41 (assume @p75 (forall @t97 (or @t92 (tptp.sameside @t17 @t19 @t15)))) % 1.23/1.41 (assume @p76 (forall @t91 (or @t92 (not (tptp.sameside @t17 @t19 @t18)) (tptp.sameside @t15 @t19 @t18)))) % 1.23/1.41 (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))))) % 1.23/1.41 (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))) % 1.23/1.41 (assume @p79 (forall @t97 (or @t92 (not @t106) @t105))) % 1.23/1.41 (assume @p80 (forall @t97 (or @t92 @t106 @t107))) % 1.23/1.41 (assume @p81 (forall @t113 (or @t104 @t112 @t111 (not @t110) @t90 @t109 @t108))) % 1.23/1.41 (assume @p82 (forall @t113 (or @t104 @t112 @t111 (not @t109) @t110))) % 1.23/1.41 (assume @p83 (forall @t113 (or @t104 @t112 @t111 (not @t108) @t110))) % 1.23/1.41 (assume @p84 (forall @t113 (or @t104 @t112 @t111 @t95 @t110))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p86 (forall (@list @t19 @t16 @t116 @t101) (or @t104 (= @t116 @t19) @t118 @t117 (tptp.s_col @t19 @t116 @t101)))) % 1.23/1.41 (assume @p87 (forall (@list @t19 @t16) (or @t104 (tptp.s_col @t19 @t16 @t19)))) % 1.23/1.41 (assume @p88 (forall (@list @t19 @t16 @t101) (or @t104 @t117 (tptp.s_col @t16 @t19 @t101)))) % 1.23/1.41 (assume @p89 (forall (@list @t15 @t17 @t19 @t16 @t101) (or @t48 @t104 @t122 @t120 @t117 (tptp.s_col @t15 @t17 @t101)))) % 1.23/1.41 (assume @p90 (forall (@list @t15 @t17 @t19 @t16 @t18 @t24 @t29) (or @t48 @t104 @t68 @t126 @t124 (not (tptp.s_col @t19 @t16 @t24)) @t123 (not (tptp.s_col @t15 @t17 @t29)) (tptp.s_col @t19 @t16 @t29)))) % 1.23/1.41 (assume @p91 (forall @t23 (or @t48 (not (tptp.s_col @t15 @t17 (tptp.pointOffLine @t15 @t17)))))) % 1.23/1.41 (assume @p92 (forall @t42 (or @t127 (not (tptp.sameside @t32 @t34 @t31)) (not (tptp.s_e @t17 @t15 @t34 @t32)) @t35 @t33))) % 1.23/1.41 (assume @p93 (forall @t131 (or @t130 (tptp.s_m @t17 @t128 @t15)))) % 1.23/1.41 (assume @p94 (forall @t134 (or (not @t133) @t132))) % 1.23/1.41 (assume @p95 (forall @t134 (or @t133 (not @t132)))) % 1.23/1.41 (assume @p96 (forall (@list @t19 @t15) (tptp.s_m @t19 @t15 @t135))) % 1.23/1.41 (assume @p97 (forall (@list @t19 @t15 @t101 @t16) (or (not (tptp.s_m @t19 @t15 @t101)) @t136 (= @t101 @t16)))) % 1.23/1.41 (assume @p98 (forall (@list @t19 @t15 @t16) (or @t136 (= @t16 @t135)))) % 1.23/1.41 (assume @p99 (forall @t100 (= (tptp.s @t15 @t135) @t19))) % 1.23/1.41 (assume @p100 (forall (@list @t15 @t19 @t101 @t16) (or (not (= @t135 @t101)) (not (= @t137 @t101)) @t104))) % 1.23/1.41 (assume @p101 (forall (@list @t15 @t19 @t16) (or (not (= @t135 @t137)) @t104))) % 1.23/1.41 (assume @p102 (forall @t100 (or (not @t139) @t138))) % 1.23/1.41 (assume @p103 (forall @t100 (or @t139 (not @t138)))) % 1.23/1.41 (assume @p104 (forall (@list @t19 @t16 @t15) (tptp.s_e @t19 @t16 @t135 @t137))) % 1.23/1.41 (assume @p105 (forall @t113 (or (not @t142) @t141))) % 1.23/1.41 (assume @p106 (forall @t113 (or @t142 (not @t141)))) % 1.23/1.41 (assume @p107 (forall @t145 (or (not @t144) @t143))) % 1.23/1.41 (assume @p108 (forall @t145 (or @t144 (not @t143)))) % 1.23/1.41 (assume @p109 (forall (@list @t19 @t15 @t16 @t17) (or @t136 (not (tptp.s_m @t19 @t17 @t16)) @t48))) % 1.23/1.41 (assume @p110 (forall @t97 (or (not (= @t135 @t146)) @t48))) % 1.23/1.41 (assume @p111 (forall (@list @t15 @t17 @t19) (or (not (= (tptp.s @t15 @t146) (tptp.s @t17 @t135))) @t48))) % 1.23/1.41 (assume @p112 (forall @t131 (or (not (tptp.s_col @t15 @t128 @t17)) @t148 @t48 @t129))) % 1.23/1.41 (assume @p113 (forall @t149 (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)))) % 1.23/1.41 (assume @p114 (forall @t157 (or @t156 @t153 (not (tptp.le @t18 @t32 @t18 @t150))))) % 1.23/1.41 (assume @p115 (forall @t157 (or @t156 @t153))) % 1.23/1.41 (assume @p116 (forall (@list @t32 @t18 @t150 @t34 @t154 @t152 @t151) (or @t169 @t167 @t165 @t163 @t161 @t159 @t153))) % 1.23/1.41 (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)))) % 1.23/1.41 (assume @p118 (forall @t47 (or @t171 (tptp.s_r @t18 @t17 @t15)))) % 1.23/1.41 (assume @p119 (forall @t173 (or @t171 @t48 (not (tptp.s_col @t17 @t15 @t32)) @t172))) % 1.23/1.41 (assume @p120 (forall @t47 (or @t171 (tptp.s_r @t15 @t17 @t174)))) % 1.23/1.41 (assume @p121 (forall @t23 (tptp.s_r @t15 @t17 @t17))) % 1.23/1.41 (assume @p122 (forall @t173 (or @t171 (not @t172) (not (tptp.s_t @t15 @t18 @t32)) @t43))) % 1.23/1.41 (assume @p123 (forall @t47 (or @t171 (not (tptp.s_r @t15 @t18 @t17)) @t43))) % 1.23/1.41 (assume @p124 (forall @t23 (or (not (tptp.s_r @t15 @t17 @t15)) @t48))) % 1.23/1.41 (assume @p125 (forall @t47 (or @t171 @t68 @t48 @t84))) % 1.23/1.41 (assume @p126 (forall @t42 (or @t171 @t66 (tptp.s_r @t32 @t34 @t31)))) % 1.23/1.41 (assume @p127 (forall @t72 (or @t176 (tptp.perpAt @t19 @t16 @t18 @t15 @t17)))) % 1.23/1.41 (assume @p128 (forall @t178 (or @t177 (tptp.perp @t19 @t16 @t15 @t17)))) % 1.23/1.41 (assume @p129 (forall @t72 (and (or @t176 (not @t48)) (or @t176 @t181) (or @t176 @t125) (or @t176 @t67) (or @t176 (tptp.s_col @t15 @t17 @t180)) (or @t176 (tptp.s_col @t19 @t16 @t179)) (or @t176 (not (= @t18 @t180))) (or @t176 (not (= @t18 @t179))) (or @t176 (tptp.s_r @t180 @t18 @t179))))) % 1.23/1.41 (assume @p130 (forall (@list @t15 @t17 @t19 @t16 @t182 @t183 @t6) (or @t48 @t104 (not (tptp.s_col @t19 @t16 @t182)) (not (tptp.s_col @t15 @t17 @t182)) (not (tptp.s_col @t15 @t17 @t183)) (not (tptp.s_col @t19 @t16 @t6)) (= @t182 @t183) (= @t182 @t6) (not (tptp.s_r @t183 @t182 @t6)) (tptp.perpAt @t15 @t17 @t182 @t19 @t16)))) % 1.23/1.41 (assume @p131 (forall @t178 (or @t177 @t186 @t184))) % 1.23/1.41 (assume @p132 (forall @t187 (or @t177 @t68 @t126 @t175))) % 1.23/1.41 (assume @p133 (forall @t72 (or @t176 (= @t18 @t188)))) % 1.23/1.41 (assume @p134 (forall @t53 (or @t48 @t124 @t190 (tptp.perpAt @t15 @t17 @t24 @t18 @t24)))) % 1.23/1.41 (assume @p135 (forall @t187 (and (or @t48 @t186 @t184 @t194 @t68 @t192) (or @t48 @t186 @t184 @t194 @t193 @t192)))) % 1.23/1.41 (assume @p136 (forall @t187 (or @t48 @t186 @t184 @t194 @t191 @t67 (not @t193)))) % 1.23/1.41 (assume @p137 (forall @t72 (or @t67 @t186 @t184 @t192 (not (tptp.perp @t15 @t17 @t18 @t16)) @t104))) % 1.23/1.41 (assume @p138 (forall @t47 (and (or @t67 (tptp.s_col @t15 @t17 @t195)) (or @t67 (tptp.perp @t15 @t17 @t18 @t195))))) % 1.23/1.41 (assume @p139 (forall @t197 (or @t171 @t196 (tptp.s_r @t17 @t15 @t19)))) % 1.23/1.41 (assume @p140 (forall @t197 (or @t171 @t196 @t43 @t95))) % 1.23/1.41 (assume @p141 (forall @t178 (or @t177 (tptp.perp @t17 @t15 @t19 @t16)))) % 1.23/1.41 (assume @p142 (forall @t149 (or @t48 @t123 @t68 @t124 (not (tptp.s_col @t18 @t24 @t19)) @t185))) % 1.23/1.41 (assume @p143 (forall @t47 (and (or @t48 (tptp.perp @t15 @t17 @t198 @t15) @t67) (or @t48 (tptp.s_col @t15 @t17 @t199) @t67) (or @t48 (tptp.s_t @t18 @t199 @t198) @t67)))) % 1.23/1.41 (assume @p144 (forall @t47 (and (or @t48 (tptp.perp @t15 @t17 @t200 @t15)) (or @t48 (tptp.s_col @t15 @t17 @t201)) (or @t48 (tptp.s_t @t18 @t201 @t200))))) % 1.23/1.41 (assume @p145 (forall (@list @t15 @t19 @t17 @t16 @t202) (or (not (tptp.le @t15 @t19 @t17 @t16)) (not (tptp.perp @t15 @t17 @t15 @t19)) (not (tptp.perp @t15 @t17 @t17 @t16)) @t204 @t203 (tptp.s_m @t15 (tptp.midpointAux @t15 @t17 @t19 @t16 @t202) @t17)))) % 1.23/1.41 (assume @p146 (forall @t23 (tptp.s_m @t15 @t205 @t17))) % 1.23/1.41 (assume @p147 (forall @t211 (or @t210 @t209 @t203 @t204 @t208 @t207 @t206 (tptp.s_m @t15 @t182 @t17)))) % 1.23/1.41 (assume @p148 (forall @t211 (or @t210 @t209 @t203 @t204 @t208 @t207 @t206 (tptp.s_m @t19 @t182 @t101)))) % 1.23/1.41 (assume @p149 (forall (@list @t19 @t15 @t17 @t16 @t202 @t101) (or @t210 @t209 @t203 @t204 @t208 @t207 (tptp.s_m @t19 @t205 @t101)))) % 1.23/1.41 (assume @p150 (forall @t27 (or @t68 @t124 @t48 @t212))) % 1.23/1.41 (assume @p151 (forall (@list @t15 @t17 @t19 @t16 @t101 @t18 @t24) (or @t186 @t184 @t104 @t48 (not (tptp.perpAt @t19 @t16 @t101 @t18 @t24)) (tptp.perpAt @t15 @t17 @t101 @t18 @t24)))) % 1.23/1.41 (assume @p152 (forall @t214 (or @t186 @t184 @t104 @t48 (not @t213) @t189))) % 1.23/1.41 (assume @p153 (forall @t27 (or @t48 @t215 @t43 (= @t24 @t18) (= @t15 @t24) (not (tptp.perp @t17 @t15 @t15 @t18)) (not @t212) (tptp.perp @t17 @t15 @t15 @t24)))) % 1.23/1.41 (assume @p154 (forall @t178 (or @t177 (tptp.perp @t15 @t17 @t16 @t19)))) % 1.23/1.41 (assume @p155 (forall @t214 (or @t186 @t184 @t104 @t48 @t213 @t190))) % 1.23/1.41 (assume @p156 (or (not (tptp.s_col tptp.xa tptp.xb tptp.xp)) (not (tptp.s_col tptp.xa tptp.xb tptp.xq)) (= tptp.xp tptp.xq) (= tptp.xa tptp.xb) (tptp.perp tptp.xc tptp.xd tptp.xp tptp.xq) (not (tptp.perp tptp.xc tptp.xd tptp.xa tptp.xb)))) % 1.23/1.41 (assume @p157 (forall @t72 (or @t68 @t48 @t215 @t216 (tptp.samesideline @t19 @t16 @t15 @t18)))) % 1.23/1.41 (assume @p158 (forall @t178 (or @t48 @t216 (tptp.samesideline @t19 @t16 @t17 @t15)))) % 1.23/1.41 (assume @p159 (forall (@list @t15 @t19 @t16 @t17) (or @t218 (tptp.opposite @t17 @t19 @t16 @t15)))) % 1.23/1.41 (assume @p160 (forall @t224 (or @t223 @t222 @t221 @t117 @t220 @t219 (not (tptp.s_t @t101 @t17 @t15))))) % 1.23/1.41 (assume @p161 (forall @t224 (or @t223 @t222 @t221 @t117 @t220 @t219))) % 1.23/1.41 (assume @p162 (forall (@list @t15 @t17 @t18 @t128) (or @t127 (tptp.sameside (tptp.s @t128 @t15) (tptp.s @t128 @t17) (tptp.s @t128 @t18))))) % 1.23/1.41 (assume @p163 @t234) % 1.23/1.41 (assume @p164 (forall @t233 (or @t223 @t104 @t118 @t117 @t232 @t231 @t230 @t228 @t227 @t226 (not @t225)))) % 1.23/1.41 (assume @p165 @t237) % 1.23/1.41 (assume @p166 (not @t238)) % 1.23/1.41 (assume @p167 (forall (@list @t15 @t17 @t32 @t31) (= @t64 (tptp.ext (tptp.ext @t31 @t32 tptp.alpha tptp.gamma) @t32 @t15 @t17)))) % 1.23/1.41 (assume @p168 (forall @t253 (and (or @t252 @t40) (or @t252 @t250) (or @t252 @t249) (or @t252 @t247) (or @t252 @t245) (or @t252 @t244) (or @t41 @t251 (not @t249) @t248 @t246 (not @t244) @t243)))) % 1.23/1.41 (assume @p169 (forall @t253 (and (or @t257 @t40) (or @t257 @t250) (or @t257 @t256) (or @t257 @t247) (or @t257 @t245) (or @t257 @t255) (or @t41 @t251 (not @t256) @t248 @t246 (not @t255) @t254)))) % 1.23/1.41 (assume @p170 (forall (@list @t32 @t150 @t259 @t34 @t154 @t258) (and (or @t264 @t263) (or @t264 @t262) (or @t264 @t261) (or (not @t263) (not @t262) (not @t261) @t260)))) % 1.23/1.41 (assume @p171 (forall @t47 (and (or @t68 @t40 @t265 @t114) (or @t67 @t41) (or @t67 (not @t265)) (or @t67 @t115)))) % 1.23/1.41 (assume @p172 (forall @t62 (and (or @t71 @t67) (or @t71 @t65) (or @t71 @t266) (or @t71 @t61) (or @t68 @t66 (not @t266) (not @t61) @t70)))) % 1.23/1.41 (assume @p173 (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)))) % 1.23/1.41 (assume @p174 (forall @t97 (and @t96 @t94 (or @t92 @t105 @t267) (or @t107 @t90 (= tptp.xb @t19) @t85) (or (not @t267) @t90 @t89 @t85)))) % 1.23/1.41 (assume @p175 (forall @t131 (and (or @t130 @t268) (or @t130 @t147) (or (not @t268) @t148 @t129)))) % 1.23/1.41 (assume @p176 (forall @t157 (and (or @t156 @t168) (or @t156 @t166) (or @t156 @t164) (or @t156 @t162) (or @t156 @t160) (or @t156 @t158) (or @t169 @t167 @t165 @t163 @t161 @t159 @t155)))) % 1.23/1.41 (assume @p177 (forall @t47 (and (or @t171 @t269) (or @t170 (not @t269))))) % 1.23/1.41 (assume @p178 (forall (@list @t2 @t7 @t1 @t13 @t12 @t183 @t6) (and (or @t279 @t274) (or @t279 @t272) (or @t279 (not @t277)) (or @t279 (not @t276)) (or @t279 (not (tptp.s_col @t2 @t7 @t183)) (not (tptp.s_col @t13 @t12 @t6)) (tptp.s_r @t183 @t1 @t6)) (or @t278 @t277 @t276 @t275 @t273 (tptp.s_col @t2 @t7 @t271)) (or @t278 @t277 @t276 @t275 @t273 (tptp.s_col @t13 @t12 @t270)) (or @t278 @t277 @t276 @t275 @t273 (not (tptp.s_r @t271 @t1 @t270)))))) % 1.23/1.41 (assume @p179 (forall (@list @t19 @t16 @t281 @t280 @t1) (and (or (not @t282) (tptp.perpAt @t19 @t16 (tptp.il @t19 @t16 @t281 @t280) @t281 @t280)) (or @t282 (not (tptp.perpAt @t19 @t16 @t1 @t281 @t280)))))) % 1.23/1.41 (assume @p180 (forall (@list @t19 @t16 @t15 @t17 @t202) (and (or @t104 @t121 @t119 (not (tptp.s_t @t15 @t202 @t17)) (not (tptp.s_col @t19 @t16 @t202)) @t217) (or @t218 @t122) (or @t218 @t120) (or @t218 (tptp.s_t @t15 @t188 @t17)) (or @t218 (tptp.s_col @t19 @t16 @t188))))) % 1.23/1.41 (assume @p181 (forall (@list @t15 @t17 @t19 @t16 @t285 @t18 @t284) (and (or @t286 (tptp.s_col @t19 @t16 @t289)) (or @t286 (tptp.s_col @t19 @t16 @t287)) (or @t286 (tptp.s_t @t15 @t289 @t288)) (or @t286 (tptp.s_t @t17 @t287 @t288)) (or @t286 (not (= @t15 @t289))) (or @t286 (not (= @t17 @t287))) (or @t286 (not (= @t288 @t289))) (or @t286 (not (= @t288 @t287))) (or @t286 @t181) (or @t286 @t122) (or @t286 @t120) (or (not (tptp.s_t @t15 @t285 @t18)) (not (tptp.s_t @t17 @t284 @t18)) (not (tptp.s_col @t19 @t16 @t285)) (not (tptp.s_col @t19 @t16 @t284)) @t104 (= @t18 @t285) (= @t18 @t284) (= @t15 @t285) (= @t17 @t284) @t121 @t119 @t283)))) % 1.23/1.41 (assume @p182 true) % 1.23/1.41 (step @p183 :rule skolemize :premises (@p166)) % 1.23/1.41 (step @p184 :rule bool-double-not-elim :args (@t294)) % 1.23/1.41 (step @p185 :rule refl :args (@t315)) % 1.23/1.41 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t315 (not @t314)))) % 1.23/1.41 (step @p187 :rule cnf_or_neg :args (@t315 0)) % 1.23/1.41 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 1.23/1.41 (step @p189 :rule reordering :premises (@p188) :args ((or @t294 @t315))) % 1.23/1.41 (step @p190 :rule chain_m_resolution :premises (@p189 @p183) :args (@t294 @t316 @t317)) % 1.23/1.41 (step @p191 :rule cnf_or_neg :args (@t315 1)) % 1.23/1.41 (step @p192 :rule chain_m_resolution :premises (@p191 @p183) :args ((not @t313) @t316 @t317)) % 1.23/1.41 (step @p193 :rule bool-double-not-elim :args (@t309)) % 1.23/1.41 (step @p194 :rule nary_cong :premises (@p185 @p193) :args ((or @t315 (not @t310)))) % 1.23/1.41 (step @p195 :rule cnf_or_neg :args (@t315 3)) % 1.23/1.41 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 1.23/1.41 (step @p197 :rule reordering :premises (@p196) :args ((or @t309 @t315))) % 1.23/1.41 (step @p198 :rule chain_m_resolution :premises (@p197 @p183) :args (@t309 @t316 @t317)) % 1.23/1.41 (step @p199 :rule bool-double-not-elim :args (@t307)) % 1.23/1.41 (step @p200 :rule nary_cong :premises (@p185 @p199) :args ((or @t315 (not @t308)))) % 1.23/1.41 (step @p201 :rule cnf_or_neg :args (@t315 4)) % 1.23/1.41 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 1.23/1.41 (step @p203 :rule reordering :premises (@p202) :args ((or @t307 @t315))) % 1.23/1.41 (step @p204 :rule chain_m_resolution :premises (@p203 @p183) :args (@t307 @t316 @t317)) % 1.23/1.41 (step @p205 :rule bool-double-not-elim :args (@t301)) % 1.23/1.41 (step @p206 :rule nary_cong :premises (@p185 @p205) :args ((or @t315 (not @t302)))) % 1.23/1.41 (step @p207 :rule cnf_or_neg :args (@t315 7)) % 1.23/1.41 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 1.23/1.41 (step @p209 :rule reordering :premises (@p208) :args ((or @t301 @t315))) % 1.23/1.41 (step @p210 :rule chain_m_resolution :premises (@p209 @p183) :args (@t301 @t316 @t317)) % 1.23/1.41 (step @p211 :rule cnf_or_neg :args (@t315 8)) % 1.23/1.41 (step @p212 :rule chain_m_resolution :premises (@p211 @p183) :args ((not @t299) @t316 @t317)) % 1.23/1.41 (step @p213 :rule false_intro :premises (@p212)) % 1.23/1.41 (step @p214 :rule refl :args (@t290)) % 1.23/1.41 (step @p215 :rule bool-double-not-elim :args (@t311)) % 1.23/1.41 (step @p216 :rule nary_cong :premises (@p185 @p215) :args ((or @t315 (not @t312)))) % 1.23/1.41 (step @p217 :rule cnf_or_neg :args (@t315 2)) % 1.23/1.41 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 1.23/1.41 (step @p219 :rule reordering :premises (@p218) :args ((or @t311 @t315))) % 1.23/1.41 (step @p220 :rule chain_m_resolution :premises (@p219 @p183) :args (@t311 @t316 @t317)) % 1.23/1.41 (step @p221 :rule bool-double-not-elim :args (@t305)) % 1.23/1.41 (step @p222 :rule nary_cong :premises (@p185 @p221) :args ((or @t315 (not @t306)))) % 1.23/1.41 (step @p223 :rule cnf_or_neg :args (@t315 5)) % 1.23/1.41 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 1.23/1.41 (step @p225 :rule reordering :premises (@p224) :args ((or @t305 @t315))) % 1.23/1.41 (step @p226 :rule chain_m_resolution :premises (@p225 @p183) :args (@t305 @t316 @t317)) % 1.23/1.41 (step @p227 :rule bool-double-not-elim :args (@t303)) % 1.23/1.41 (step @p228 :rule nary_cong :premises (@p185 @p227) :args ((or @t315 (not @t304)))) % 1.23/1.41 (step @p229 :rule cnf_or_neg :args (@t315 6)) % 1.23/1.41 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 1.23/1.41 (step @p231 :rule reordering :premises (@p230) :args ((or @t303 @t315))) % 1.23/1.41 (step @p232 :rule chain_m_resolution :premises (@p231 @p183) :args (@t303 @t316 @t317)) % 1.23/1.41 (step @p233 :rule refl :args (@t299)) % 1.23/1.41 (step @p234 :rule eq-symm :args (@t300 @t295)) % 1.23/1.41 (step @p235 :rule refl :args (@t319)) % 1.23/1.41 (step @p236 :rule refl :args (@t302)) % 1.23/1.41 (step @p237 :rule refl :args (@t304)) % 1.23/1.41 (step @p238 :rule refl :args (@t306)) % 1.23/1.41 (step @p239 :rule refl :args (@t308)) % 1.23/1.41 (step @p240 :rule refl :args (@t310)) % 1.23/1.41 (step @p241 :rule refl :args (@t312)) % 1.23/1.41 (step @p242 :rule refl :args (@t313)) % 1.23/1.41 (step @p243 :rule refl :args (@t314)) % 1.23/1.41 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240 @p239 @p238 @p237 @p236 @p235 @p234 @p233) :args (@t320)) % 1.23/1.41 (step @p245 :rule refl :args (@t234)) % 1.23/1.41 (step @p246 :rule cong :premises (@p245 @p244) :args ((=> @t234 @t320))) % 1.23/1.41 (assume-push @p334 @t234) % 1.23/1.41 (step @p248 :rule instantiate :premises (@p163) :args ((@list @t293 @t292 @t291 @t290 @t295 @t300 @t297 @t296))) % 1.23/1.41 (step-pop @p335 :rule scope :premises (@p248)) % 1.23/1.41 (step @p249 :rule process_scope :premises (@p335) :args (@t320)) % 1.23/1.41 (step @p251 :rule eq_resolve :premises (@p249 @p246)) % 1.23/1.41 (step @p252 :rule implies_elim :premises (@p251)) % 1.23/1.41 (step @p253 :rule chain_m_resolution :premises (@p252 @p163) :args (@t322 (@list false) (@list @t234))) % 1.23/1.41 (step @p254 :rule cnf_or_pos :args (@t322)) % 1.23/1.41 (step @p255 :rule reordering :premises (@p254) :args ((or @t314 @t313 @t312 @t310 @t308 @t306 @t304 @t302 @t299 @t321 @t319 (not @t322)))) % 1.23/1.41 (step @p256 :rule instantiate :premises (@p93) :args ((@list @t300 @t297 @t295))) % 1.23/1.41 (step @p257 :rule cnf_or_pos :args (@t324)) % 1.23/1.41 (step @p258 :rule reordering :premises (@p257) :args ((or @t304 @t323 (not @t324)))) % 1.23/1.41 (step @p259 :rule chain_m_resolution :premises (@p258 @p232 @p256) :args (@t323 @t325 (@list @t303 @t324))) % 1.23/1.41 (step @p260 :rule instantiate :premises (@p159) :args ((@list @t293 @t292 @t291 @t290))) % 1.23/1.41 (step @p261 :rule cnf_or_pos :args (@t327)) % 1.23/1.41 (step @p262 :rule reordering :premises (@p261) :args ((or @t314 @t326 (not @t327)))) % 1.23/1.41 (step @p263 :rule chain_m_resolution :premises (@p262 @p190 @p260) :args (@t326 @t325 (@list @t294 @t327))) % 1.23/1.41 (step @p264 :rule true_intro :premises (@p210)) % 1.23/1.41 (step @p265 :rule refl :args (@t293)) % 1.23/1.41 (step @p266 :rule refl :args (@t300)) % 1.23/1.41 (step @p267 :rule instantiate :premises (@p98) :args ((@list @t298 @t297 @t296))) % 1.23/1.41 (step @p268 :rule instantiate :premises (@p93) :args ((@list @t296 @t297 @t298))) % 1.23/1.41 (step @p269 :rule instantiate :premises (@p96) :args ((@list @t296 @t297))) % 1.23/1.41 (step @p270 :rule cnf_or_pos :args (@t331)) % 1.23/1.41 (step @p271 :rule reordering :premises (@p270) :args ((or @t330 @t328 (not @t331)))) % 1.23/1.41 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p268) :args (@t328 @t325 (@list @t329 @t331))) % 1.23/1.41 (step @p273 :rule cnf_or_pos :args (@t335)) % 1.23/1.41 (step @p274 :rule reordering :premises (@p273) :args ((or @t334 @t333 (not @t335)))) % 1.23/1.41 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p267) :args (@t333 @t325 (@list @t328 @t335))) % 1.23/1.41 (step @p276 :rule symm :premises (@p275)) % 1.23/1.41 (step @p277 :rule cong :premises (@p276 @p266 @p265) :args (@t336)) % 1.23/1.41 (step @p278 :rule trans :premises (@p277 @p264)) % 1.23/1.41 (step @p279 :rule true_elim :premises (@p278)) % 1.23/1.41 (step @p280 :rule instantiate :premises (@p164) :args ((@list @t290 @t292 @t291 @t293 @t300 @t295 @t297 @t298))) % 1.23/1.41 (step @p281 :rule cnf_or_pos :args (@t342)) % 1.23/1.41 (step @p282 :rule reordering :premises (@p281) :args ((or @t313 @t312 @t310 @t308 @t306 @t299 @t321 @t340 @t341 @t339 @t337 (not @t342)))) % 1.23/1.41 (step @p283 :rule instantiate :premises (@p62) :args ((@list @t295 @t290 @t300 @t293))) % 1.23/1.41 (step @p284 :rule cnf_or_pos :args (@t343)) % 1.23/1.41 (step @p285 :rule reordering :premises (@p284) :args ((or @t318 @t338 (not @t343)))) % 1.23/1.41 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p282 @p280 @p279 @p263 @p259 @p212 @p226 @p204 @p198 @p220 @p192 @p255 @p253 @p212 @p210 @p232 @p226 @p204 @p198 @p220 @p192 @p190) :args (@t321 (@list false true false false false false true false false false false true true false true false false false false false false true false) (@list @t343 @t338 @t342 @t336 @t326 @t323 @t299 @t305 @t307 @t309 @t311 @t313 @t318 @t322 @t299 @t301 @t303 @t305 @t307 @t309 @t311 @t313 @t294))) % 1.23/1.41 (step @p287 :rule symm :premises (@p286)) % 1.23/1.41 (step @p288 :rule refl :args (@t298)) % 1.23/1.41 (step @p289 :rule cong :premises (@p288 @p287 @p214) :args (@t344)) % 1.23/1.41 (step @p290 :rule trans :premises (@p289 @p213)) % 1.23/1.41 (step @p291 :rule false_elim :premises (@p290)) % 1.23/1.41 (step @p292 :rule aci_norm :args ((= (or @t223 @t104 @t118 @t118 @t347 @t231 @t346 @t345 false @t225) (or @t223 @t104 @t118 @t347 @t231 @t346 @t345 @t225)))) % 1.23/1.41 (step @p293 :rule refl :args (@t225)) % 1.23/1.41 (step @p294 :rule evaluate :args ((not true))) % 1.23/1.41 (step @p295 :rule eq-refl :args (@t116)) % 1.23/1.41 (step @p296 :rule cong :premises (@p295) :args (@t348)) % 1.23/1.41 (step @p297 :rule trans :premises (@p296 @p294)) % 1.23/1.41 (step @p298 :rule refl :args (@t345)) % 1.23/1.41 (step @p299 :rule refl :args (@t346)) % 1.23/1.41 (step @p300 :rule refl :args (@t231)) % 1.23/1.41 (step @p301 :rule refl :args (@t347)) % 1.23/1.41 (step @p302 :rule refl :args (@t118)) % 1.23/1.41 (step @p303 :rule refl :args (@t104)) % 1.23/1.41 (step @p304 :rule refl :args (@t223)) % 1.23/1.41 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302 @p302 @p301 @p300 @p299 @p298 @p297 @p293) :args (@t349)) % 1.23/1.41 (step @p306 :rule trans :premises (@p305 @p292)) % 1.23/1.41 (step @p307 :rule cong :premises (@p306) :args ((forall @t350 @t349))) % 1.23/1.41 (step @p308 :rule quant-var-elim-eq :args ((= (forall @t352 @t351) @t349))) % 1.23/1.41 (step @p309 :rule aci_norm :args ((= @t236 @t351))) % 1.23/1.41 (step @p310 :rule cong :premises (@p309) :args (@t353)) % 1.23/1.41 (step @p311 :rule trans :premises (@p310 @p308)) % 1.23/1.41 (step @p312 :rule cong :premises (@p311) :args (@t354)) % 1.23/1.41 (step @p313 :rule quant-merge-prenex :args ((= @t354 @t355))) % 1.23/1.41 (step @p314 :rule symm :premises (@p313)) % 1.23/1.41 (step @p315 :rule quant_var_reordering :args ((= @t237 @t355))) % 1.23/1.41 (step @p316 :rule trans :premises (@p315 @p314 @p312)) % 1.23/1.41 (step @p317 :rule trans :premises (@p316 @p307)) % 1.23/1.41 (step @p318 :rule eq_resolve :premises (@p165 @p317)) % 1.23/1.41 (step @p319 :rule instantiate :premises (@p318) :args ((@list @t293 @t292 @t291 @t290 @t300 @t297 @t296))) % 1.23/1.41 (step @p320 :rule true_intro :premises (@p232)) % 1.23/1.41 (step @p321 :rule refl :args (@t297)) % 1.23/1.41 (step @p322 :rule cong :premises (@p266 @p321 @p287) :args (@t356)) % 1.23/1.41 (step @p323 :rule trans :premises (@p322 @p320)) % 1.23/1.41 (step @p324 :rule true_elim :premises (@p323)) % 1.23/1.41 (step @p325 :rule true_intro :premises (@p226)) % 1.23/1.41 (step @p326 :rule refl :args (@t291)) % 1.23/1.41 (step @p327 :rule refl :args (@t292)) % 1.23/1.41 (step @p328 :rule cong :premises (@p327 @p326 @p214 @p287) :args (@t357)) % 1.23/1.41 (step @p329 :rule trans :premises (@p328 @p325)) % 1.23/1.41 (step @p330 :rule true_elim :premises (@p329)) % 1.23/1.41 (step @p331 :rule cnf_or_pos :args (@t360)) % 1.23/1.41 (step @p332 :rule reordering :premises (@p331) :args ((or @t314 @t313 @t310 @t308 @t302 @t358 @t359 @t344 (not @t360)))) % 1.23/1.41 (step @p333 false :rule chain_m_resolution :premises (@p332 @p330 @p324 @p319 @p291 @p210 @p204 @p198 @p192 @p190) :args (false (@list false false false true false false false true false) (@list @t357 @t356 @t360 @t344 @t301 @t307 @t309 @t313 @t294))) % 1.23/1.41 ) % 1.23/1.41 % SZS output end Proof % 1.23/1.41 % cvc5 exiting %------------------------------------------------------------------------------