%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO528+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:17:21 AM UTC 2026 % Result : Theorem 3.10s 3.34s % Output : Proof 3.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO528+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:59:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.54 %----Proving TF0_NAR, FOF, or CNF % 3.10/3.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.10/3.34 % SZS status Theorem % 3.10/3.34 % SZS output start Proof % 3.10/3.34 ( % 3.10/3.34 (declare-sort $$unsorted 0) % 3.10/3.34 (declare-const tptp.ss3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.ss2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.f811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.reflect (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.opposite (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.samesideline (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.xp $$unsorted) % 3.10/3.34 (declare-const tptp.xq $$unsorted) % 3.10/3.34 (declare-const tptp.xc $$unsorted) % 3.10/3.34 (declare-const tptp.xa $$unsorted) % 3.10/3.34 (declare-const tptp.xd $$unsorted) % 3.10/3.34 (declare-const tptp.midpoint (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.midpointAux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.erect (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.erectAux21a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.foot (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.ss1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.g811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.s_kf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.erect21a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.gamma $$unsorted) % 3.10/3.34 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.erectAux (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.beta $$unsorted) % 3.10/3.34 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.s_r (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.perp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.il (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.alpha $$unsorted) % 3.10/3.34 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.xb $$unsorted) % 3.10/3.34 (declare-const tptp.pointOffLine (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.s_m (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.f813 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.perpAt (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.34 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.isomidpoint (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (declare-const tptp.g813 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.10/3.34 (define @t1 () (@var "X" $$unsorted)) % 3.10/3.34 (define @t2 () (@var "Y" $$unsorted)) % 3.10/3.34 (define @t3 () (@list @t1 @t2)) % 3.10/3.34 (define @t4 () (@var "V2" $$unsorted)) % 3.10/3.34 (define @t5 () (@var "Z2" $$unsorted)) % 3.10/3.34 (define @t6 () (@var "V" $$unsorted)) % 3.10/3.34 (define @t7 () (@var "Z" $$unsorted)) % 3.10/3.34 (define @t8 () (= @t1 @t2)) % 3.10/3.34 (define @t9 () (@var "W" $$unsorted)) % 3.10/3.34 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 3.10/3.34 (define @t11 () (@var "V1" $$unsorted)) % 3.10/3.34 (define @t12 () (@var "Z1" $$unsorted)) % 3.10/3.34 (define @t13 () (@var "Y1" $$unsorted)) % 3.10/3.34 (define @t14 () (@var "X1" $$unsorted)) % 3.10/3.34 (define @t15 () (@var "Xa" $$unsorted)) % 3.10/3.34 (define @t16 () (@var "Xq" $$unsorted)) % 3.10/3.34 (define @t17 () (@var "Xb" $$unsorted)) % 3.10/3.34 (define @t18 () (@var "Xc" $$unsorted)) % 3.10/3.34 (define @t19 () (@var "Xp" $$unsorted)) % 3.10/3.34 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 3.10/3.34 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 3.10/3.34 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 3.10/3.34 (define @t23 () (@list @t15 @t17)) % 3.10/3.34 (define @t24 () (@var "Xd" $$unsorted)) % 3.10/3.34 (define @t25 () (tptp.s_e @t15 @t17 @t18 @t24)) % 3.10/3.34 (define @t26 () (not @t25)) % 3.10/3.34 (define @t27 () (@list @t15 @t17 @t18 @t24)) % 3.10/3.34 (define @t28 () (@var "Xf" $$unsorted)) % 3.10/3.34 (define @t29 () (@var "Xe" $$unsorted)) % 3.10/3.34 (define @t30 () (@list @t15 @t17 @t18 @t24 @t29 @t28)) % 3.10/3.34 (define @t31 () (@var "Xc1" $$unsorted)) % 3.10/3.34 (define @t32 () (@var "Xa1" $$unsorted)) % 3.10/3.34 (define @t33 () (tptp.s_e @t15 @t18 @t32 @t31)) % 3.10/3.34 (define @t34 () (@var "Xb1" $$unsorted)) % 3.10/3.34 (define @t35 () (not (tptp.s_e @t17 @t18 @t34 @t31))) % 3.10/3.34 (define @t36 () (tptp.s_e @t15 @t17 @t32 @t34)) % 3.10/3.34 (define @t37 () (not @t36)) % 3.10/3.34 (define @t38 () (tptp.s_t @t32 @t34 @t31)) % 3.10/3.34 (define @t39 () (not @t38)) % 3.10/3.34 (define @t40 () (tptp.s_t @t15 @t17 @t18)) % 3.10/3.34 (define @t41 () (not @t40)) % 3.10/3.34 (define @t42 () (@list @t15 @t17 @t18 @t32 @t34 @t31)) % 3.10/3.34 (define @t43 () (= @t17 @t18)) % 3.10/3.34 (define @t44 () (@var "XC" $$unsorted)) % 3.10/3.34 (define @t45 () (@var "XA" $$unsorted)) % 3.10/3.34 (define @t46 () (@var "XB" $$unsorted)) % 3.10/3.34 (define @t47 () (@list @t15 @t17 @t18)) % 3.10/3.34 (define @t48 () (= @t15 @t17)) % 3.10/3.34 (define @t49 () (tptp.s_t @t17 @t18 @t24)) % 3.10/3.34 (define @t50 () (not @t49)) % 3.10/3.34 (define @t51 () (tptp.s_t @t15 @t17 @t24)) % 3.10/3.34 (define @t52 () (not @t51)) % 3.10/3.34 (define @t53 () (@list @t15 @t17 @t24 @t18)) % 3.10/3.34 (define @t54 () (tptp.s_t @t15 @t18 @t24)) % 3.10/3.34 (define @t55 () (not @t54)) % 3.10/3.34 (define @t56 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 3.10/3.34 (define @t57 () (tptp.crossbar @t15 @t17 @t18 @t32 @t34 @t19)) % 3.10/3.34 (define @t58 () (not (tptp.s_t @t15 @t19 @t32))) % 3.10/3.34 (define @t59 () (not (tptp.s_t @t32 @t34 @t18))) % 3.10/3.34 (define @t60 () (@var "Xd1" $$unsorted)) % 3.10/3.34 (define @t61 () (tptp.s_e @t17 @t24 @t34 @t60)) % 3.10/3.34 (define @t62 () (@list @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 3.10/3.34 (define @t63 () (not @t33)) % 3.10/3.34 (define @t64 () (tptp.insert @t15 @t17 @t32 @t31)) % 3.10/3.34 (define @t65 () (@list @t15 @t17 @t18 @t32 @t31)) % 3.10/3.34 (define @t66 () (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 @t31)) % 3.10/3.34 (define @t67 () (not @t66)) % 3.10/3.34 (define @t68 () (tptp.s_col @t15 @t17 @t18)) % 3.10/3.34 (define @t69 () (not @t68)) % 3.10/3.34 (define @t70 () (tptp.s_col @t18 @t15 @t17)) % 3.10/3.34 (define @t71 () (tptp.s_e @t18 @t24 @t31 @t60)) % 3.10/3.34 (define @t72 () (tptp.s_fs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 3.10/3.34 (define @t73 () (not @t72)) % 3.10/3.34 (define @t74 () (@list @t15 @t17 @t18 @t19 @t16)) % 3.10/3.34 (define @t75 () (= @t18 @t31)) % 3.10/3.34 (define @t76 () (not (tptp.s_e @t17 @t18 @t17 @t31))) % 3.10/3.34 (define @t77 () (not (tptp.s_e @t15 @t18 @t15 @t31))) % 3.10/3.34 (define @t78 () (tptp.s_t @t15 @t18 @t17)) % 3.10/3.34 (define @t79 () (tptp.insert @t15 @t17 @t18 @t24)) % 3.10/3.34 (define @t80 () (tptp.ins @t18 @t24 @t15 @t17)) % 3.10/3.34 (define @t81 () (tptp.le @t15 @t17 @t18 @t24)) % 3.10/3.34 (define @t82 () (not @t81)) % 3.10/3.34 (define @t83 () (tptp.le @t18 @t24 @t15 @t17)) % 3.10/3.34 (define @t84 () (tptp.le @t15 @t17 @t15 @t18)) % 3.10/3.34 (define @t85 () (tptp.le @t17 @t18 @t15 @t18)) % 3.10/3.34 (define @t86 () (= @t18 @t17)) % 3.10/3.34 (define @t87 () (tptp.sameside @t15 @t19 @t17)) % 3.10/3.34 (define @t88 () (tptp.s_t @t17 @t19 @t18)) % 3.10/3.34 (define @t89 () (not @t88)) % 3.10/3.34 (define @t90 () (= @t18 @t19)) % 3.10/3.34 (define @t91 () (= @t17 @t19)) % 3.10/3.34 (define @t92 () (= @t15 @t19)) % 3.10/3.34 (define @t93 () (@list @t15 @t19 @t17 @t18)) % 3.10/3.34 (define @t94 () (not @t87)) % 3.10/3.34 (define @t95 () (tptp.c63 @t15 @t19 @t17)) % 3.10/3.34 (define @t96 () (or @t94 (not @t91))) % 3.10/3.34 (define @t97 () (not @t92)) % 3.10/3.34 (define @t98 () (or @t94 @t97)) % 3.10/3.34 (define @t99 () (@list @t15 @t19 @t17)) % 3.10/3.34 (define @t100 () (tptp.s_t @t15 @t19 @t17)) % 3.10/3.34 (define @t101 () (tptp.s_col @t15 @t19 @t17)) % 3.10/3.34 (define @t102 () (@list @t15 @t19)) % 3.10/3.34 (define @t103 () (@var "Xr" $$unsorted)) % 3.10/3.34 (define @t104 () (tptp.insert @t17 @t18 @t15 @t103)) % 3.10/3.34 (define @t105 () (= @t103 @t15)) % 3.10/3.34 (define @t106 () (= @t19 @t16)) % 3.10/3.34 (define @t107 () (tptp.s_t @t19 @t15 @t17)) % 3.10/3.34 (define @t108 () (tptp.le @t19 @t15 @t19 @t17)) % 3.10/3.34 (define @t109 () (not @t107)) % 3.10/3.34 (define @t110 () (tptp.sameside @t15 @t19 @t103)) % 3.10/3.34 (define @t111 () (tptp.sameside @t15 @t19 @t16)) % 3.10/3.34 (define @t112 () (tptp.s_col @t15 @t19 @t16)) % 3.10/3.34 (define @t113 () (not (tptp.s_t @t16 @t19 @t103))) % 3.10/3.34 (define @t114 () (= @t19 @t103)) % 3.10/3.34 (define @t115 () (@list @t19 @t16 @t103 @t15)) % 3.10/3.34 (define @t116 () (tptp.s_t @t18 @t15 @t17)) % 3.10/3.34 (define @t117 () (not @t116)) % 3.10/3.34 (define @t118 () (@var "Xcs" $$unsorted)) % 3.10/3.34 (define @t119 () (tptp.s_col @t19 @t16 @t103)) % 3.10/3.34 (define @t120 () (not @t119)) % 3.10/3.34 (define @t121 () (tptp.s_col @t19 @t16 @t118)) % 3.10/3.34 (define @t122 () (not @t121)) % 3.10/3.34 (define @t123 () (tptp.s_col @t19 @t16 @t17)) % 3.10/3.34 (define @t124 () (not @t123)) % 3.10/3.34 (define @t125 () (tptp.s_col @t19 @t16 @t15)) % 3.10/3.34 (define @t126 () (not @t125)) % 3.10/3.34 (define @t127 () (@list @t15 @t17 @t19 @t16 @t103)) % 3.10/3.34 (define @t128 () (= @t18 @t24)) % 3.10/3.34 (define @t129 () (not (tptp.s_col @t15 @t17 @t24))) % 3.10/3.34 (define @t130 () (tptp.s_col @t19 @t16 @t18)) % 3.10/3.34 (define @t131 () (not @t130)) % 3.10/3.34 (define @t132 () (not (tptp.sameside @t15 @t17 @t18))) % 3.10/3.34 (define @t133 () (@var "Xm" $$unsorted)) % 3.10/3.34 (define @t134 () (tptp.s_m @t15 @t133 @t17)) % 3.10/3.34 (define @t135 () (not @t134)) % 3.10/3.34 (define @t136 () (@list @t15 @t133 @t17)) % 3.10/3.34 (define @t137 () (= @t133 @t15)) % 3.10/3.34 (define @t138 () (tptp.s_m @t15 @t133 @t15)) % 3.10/3.34 (define @t139 () (@list @t15 @t133)) % 3.10/3.34 (define @t140 () (tptp.s @t15 @t19)) % 3.10/3.34 (define @t141 () (not (tptp.s_m @t19 @t15 @t16))) % 3.10/3.34 (define @t142 () (tptp.s @t15 @t16)) % 3.10/3.34 (define @t143 () (= @t19 @t15)) % 3.10/3.34 (define @t144 () (= @t140 @t19)) % 3.10/3.34 (define @t145 () (tptp.s @t15 @t103)) % 3.10/3.34 (define @t146 () (tptp.s_t @t140 @t142 @t145)) % 3.10/3.34 (define @t147 () (tptp.s_t @t19 @t16 @t103)) % 3.10/3.34 (define @t148 () (tptp.s_e @t140 @t142 @t145 (tptp.s @t15 @t118))) % 3.10/3.34 (define @t149 () (tptp.s_e @t19 @t16 @t103 @t118)) % 3.10/3.34 (define @t150 () (@list @t19 @t16 @t103 @t118 @t15)) % 3.10/3.34 (define @t151 () (tptp.s @t17 @t19)) % 3.10/3.34 (define @t152 () (@list @t15 @t17 @t19)) % 3.10/3.34 (define @t153 () (tptp.s_e @t133 @t15 @t133 @t17)) % 3.10/3.34 (define @t154 () (not @t153)) % 3.10/3.34 (define @t155 () (@list @t15 @t17 @t18 @t24 @t19)) % 3.10/3.34 (define @t156 () (@var "Xa2" $$unsorted)) % 3.10/3.34 (define @t157 () (@var "Xm2" $$unsorted)) % 3.10/3.34 (define @t158 () (@var "Xm1" $$unsorted)) % 3.10/3.34 (define @t159 () (tptp.s_t @t158 @t18 @t157)) % 3.10/3.34 (define @t160 () (@var "Xb2" $$unsorted)) % 3.10/3.34 (define @t161 () (tptp.s_kf @t32 @t158 @t34 @t18 @t160 @t157 @t156)) % 3.10/3.34 (define @t162 () (not @t161)) % 3.10/3.34 (define @t163 () (@list @t32 @t158 @t34 @t18 @t160 @t157 @t156)) % 3.10/3.34 (define @t164 () (tptp.s_m @t156 @t157 @t160)) % 3.10/3.34 (define @t165 () (not @t164)) % 3.10/3.34 (define @t166 () (tptp.s_m @t32 @t158 @t34)) % 3.10/3.34 (define @t167 () (not @t166)) % 3.10/3.34 (define @t168 () (tptp.s_e @t18 @t156 @t18 @t160)) % 3.10/3.34 (define @t169 () (not @t168)) % 3.10/3.34 (define @t170 () (tptp.s_e @t18 @t32 @t18 @t34)) % 3.10/3.34 (define @t171 () (not @t170)) % 3.10/3.34 (define @t172 () (tptp.s_t @t34 @t18 @t160)) % 3.10/3.34 (define @t173 () (not @t172)) % 3.10/3.34 (define @t174 () (tptp.s_t @t32 @t18 @t156)) % 3.10/3.34 (define @t175 () (not @t174)) % 3.10/3.34 (define @t176 () (tptp.s_r @t15 @t17 @t18)) % 3.10/3.34 (define @t177 () (not @t176)) % 3.10/3.34 (define @t178 () (tptp.s_r @t32 @t17 @t18)) % 3.10/3.34 (define @t179 () (@list @t15 @t17 @t18 @t32)) % 3.10/3.34 (define @t180 () (tptp.s @t17 @t18)) % 3.10/3.34 (define @t181 () (not @t178)) % 3.10/3.34 (define @t182 () (tptp.s_r @t32 @t34 @t31)) % 3.10/3.34 (define @t183 () (tptp.perpAt @t15 @t17 @t18 @t19 @t16)) % 3.10/3.34 (define @t184 () (not @t183)) % 3.10/3.34 (define @t185 () (not (tptp.perp @t15 @t17 @t19 @t16))) % 3.10/3.34 (define @t186 () (@list @t15 @t17 @t19 @t16)) % 3.10/3.34 (define @t187 () (tptp.g813 @t15 @t17 @t19 @t16 @t18)) % 3.10/3.34 (define @t188 () (tptp.f813 @t15 @t17 @t19 @t16 @t18)) % 3.10/3.34 (define @t189 () (not @t106)) % 3.10/3.34 (define @t190 () (@var "Xcx" $$unsorted)) % 3.10/3.34 (define @t191 () (@var "U" $$unsorted)) % 3.10/3.34 (define @t192 () (not (tptp.s_col @t15 @t17 @t191))) % 3.10/3.34 (define @t193 () (not (tptp.s_col @t15 @t17 @t16))) % 3.10/3.34 (define @t194 () (tptp.s_col @t15 @t17 @t19)) % 3.10/3.34 (define @t195 () (not @t194)) % 3.10/3.34 (define @t196 () (@list @t15 @t17 @t19 @t16 @t18)) % 3.10/3.34 (define @t197 () (tptp.il @t15 @t17 @t19 @t16)) % 3.10/3.34 (define @t198 () (tptp.perp @t15 @t17 @t18 @t24)) % 3.10/3.34 (define @t199 () (not @t198)) % 3.10/3.34 (define @t200 () (tptp.perp @t15 @t17 @t18 @t19)) % 3.10/3.34 (define @t201 () (not @t200)) % 3.10/3.34 (define @t202 () (tptp.s_r @t18 @t19 @t16)) % 3.10/3.34 (define @t203 () (= @t16 @t19)) % 3.10/3.34 (define @t204 () (tptp.foot @t15 @t17 @t18)) % 3.10/3.34 (define @t205 () (not (tptp.s_m (tptp.s @t15 @t18) @t19 @t180))) % 3.10/3.34 (define @t206 () (@list @t15 @t17 @t18 @t19)) % 3.10/3.34 (define @t207 () (not (tptp.s_col @t18 @t24 @t19))) % 3.10/3.34 (define @t208 () (tptp.erect21a @t15 @t17 @t18)) % 3.10/3.34 (define @t209 () (tptp.erectAux21a @t15 @t17 @t18)) % 3.10/3.34 (define @t210 () (tptp.erect @t15 @t17 @t18)) % 3.10/3.34 (define @t211 () (tptp.erectAux @t15 @t17 @t18)) % 3.10/3.34 (define @t212 () (@var "Xt" $$unsorted)) % 3.10/3.34 (define @t213 () (not (tptp.s_col @t15 @t17 @t212))) % 3.10/3.34 (define @t214 () (not (tptp.s_t @t19 @t212 @t16))) % 3.10/3.34 (define @t215 () (tptp.midpoint @t15 @t17)) % 3.10/3.34 (define @t216 () (not (= @t190 (tptp.ip @t19 @t212 @t16 @t17 @t103)))) % 3.10/3.34 (define @t217 () (not (tptp.s_e @t15 @t19 @t17 @t103))) % 3.10/3.34 (define @t218 () (not (tptp.s_t @t17 @t103 @t16))) % 3.10/3.34 (define @t219 () (not (tptp.perp @t16 @t17 @t15 @t17))) % 3.10/3.34 (define @t220 () (not (tptp.perp @t19 @t15 @t15 @t17))) % 3.10/3.34 (define @t221 () (@list @t19 @t15 @t17 @t16 @t212 @t103 @t190)) % 3.10/3.34 (define @t222 () (tptp.s_col @t15 @t18 @t24)) % 3.10/3.34 (define @t223 () (tptp.perp @t19 @t16 @t18 @t24)) % 3.10/3.34 (define @t224 () (@list @t15 @t17 @t19 @t16 @t18 @t24)) % 3.10/3.34 (define @t225 () (= @t15 @t18)) % 3.10/3.34 (define @t226 () (not (tptp.samesideline @t19 @t16 @t15 @t17))) % 3.10/3.34 (define @t227 () (tptp.samesideline @t19 @t16 @t17 @t15)) % 3.10/3.34 (define @t228 () (tptp.opposite @t15 @t19 @t16 @t17)) % 3.10/3.34 (define @t229 () (not @t228)) % 3.10/3.34 (define @t230 () (@list @t15 @t19 @t16 @t17)) % 3.10/3.34 (define @t231 () (tptp.opposite @t17 @t19 @t16 @t18)) % 3.10/3.34 (define @t232 () (not (tptp.sameside @t15 @t103 @t17))) % 3.10/3.34 (define @t233 () (not (tptp.s_m @t15 @t133 @t18))) % 3.10/3.34 (define @t234 () (not (tptp.s_col @t19 @t16 @t133))) % 3.10/3.34 (define @t235 () (tptp.opposite @t15 @t19 @t16 @t18)) % 3.10/3.34 (define @t236 () (not @t235)) % 3.10/3.34 (define @t237 () (@list @t15 @t19 @t16 @t18 @t133 @t103 @t17)) % 3.10/3.34 (define @t238 () (tptp.sameside (tptp.s @t133 @t191) @t118 @t18)) % 3.10/3.34 (define @t239 () (= @t103 @t118)) % 3.10/3.34 (define @t240 () (not (tptp.le @t118 @t18 @t103 @t15))) % 3.10/3.34 (define @t241 () (tptp.sameside @t191 @t103 @t15)) % 3.10/3.34 (define @t242 () (not @t241)) % 3.10/3.34 (define @t243 () (not (tptp.s_m @t103 @t133 @t118))) % 3.10/3.34 (define @t244 () (not (tptp.perp @t19 @t16 @t18 @t118))) % 3.10/3.34 (define @t245 () (not (tptp.perp @t19 @t16 @t15 @t103))) % 3.10/3.34 (define @t246 () (@list @t15 @t19 @t16 @t18 @t118 @t103 @t133 @t191)) % 3.10/3.34 (define @t247 () (tptp.op @t16 @t17 @t19 @t18 @t15)) % 3.10/3.34 (define @t248 () (not (tptp.s_t @t15 @t18 @t19))) % 3.10/3.34 (define @t249 () (tptp.samesideline @t15 @t17 @t19 @t16)) % 3.10/3.34 (define @t250 () (not @t249)) % 3.10/3.34 (define @t251 () (not (tptp.samesideline @t17 @t18 @t19 @t16))) % 3.10/3.34 (define @t252 () (= @t19 (tptp.foot @t19 @t16 @t103))) % 3.10/3.34 (define @t253 () (tptp.opposite @t103 @t19 @t16 @t118)) % 3.10/3.34 (define @t254 () (tptp.samesideline @t103 @t118 @t19 @t16)) % 3.10/3.34 (define @t255 () (@list @t19 @t16 @t103 @t118)) % 3.10/3.34 (define @t256 () (tptp.reflect @t15 @t17 @t19)) % 3.10/3.34 (define @t257 () (or @t48 (= @t19 @t256) (tptp.perp @t15 @t17 @t19 @t256))) % 3.10/3.34 (define @t258 () (or @t48 (tptp.s_col @t15 @t17 (tptp.midpoint @t19 @t256)))) % 3.10/3.34 (define @t259 () (forall @t152 (and @t258 @t257))) % 3.10/3.34 (define @t260 () (@var "Xp1" $$unsorted)) % 3.10/3.34 (define @t261 () (= @t260 @t256)) % 3.10/3.34 (define @t262 () (not (tptp.s_col @t15 @t17 (tptp.midpoint @t19 @t260)))) % 3.10/3.34 (define @t263 () (@list @t15 @t17 @t19 @t260)) % 3.10/3.34 (define @t264 () (tptp.reflect @t15 @t17 @t260)) % 3.10/3.34 (define @t265 () (not (= @t256 @t260))) % 3.10/3.34 (define @t266 () (tptp.reflect @t15 @t17 @t16)) % 3.10/3.34 (define @t267 () (= @t256 @t19)) % 3.10/3.34 (define @t268 () (not @t267)) % 3.10/3.34 (define @t269 () (or @t48 @t268 @t194)) % 3.10/3.34 (define @t270 () (forall @t152 @t269)) % 3.10/3.34 (define @t271 () (or @t48 @t195 @t267)) % 3.10/3.34 (define @t272 () (forall @t152 @t271)) % 3.10/3.34 (define @t273 () (tptp.s_e @t19 @t16 @t256 @t266)) % 3.10/3.34 (define @t274 () (not (tptp.s_e @t15 @t17 @t32 @t17))) % 3.10/3.34 (define @t275 () (not (tptp.s_r @t32 @t17 @t31))) % 3.10/3.34 (define @t276 () (tptp.opposite @t19 @t15 @t17 @t260)) % 3.10/3.34 (define @t277 () (or @t48 @t265 @t194 @t276)) % 3.10/3.34 (define @t278 () (forall @t263 @t277)) % 3.10/3.34 (define @t279 () (not @t278)) % 3.10/3.34 (define @t280 () (@var "Zd" $$unsorted)) % 3.10/3.34 (define @t281 () (@var "Zc" $$unsorted)) % 3.10/3.34 (define @t282 () (@var "Zb" $$unsorted)) % 3.10/3.34 (define @t283 () (@var "Za" $$unsorted)) % 3.10/3.34 (define @t284 () (tptp.s_afs @t15 @t17 @t18 @t24 @t283 @t282 @t281 @t280)) % 3.10/3.34 (define @t285 () (tptp.s_e @t17 @t24 @t282 @t280)) % 3.10/3.34 (define @t286 () (tptp.s_e @t15 @t24 @t283 @t280)) % 3.10/3.34 (define @t287 () (not @t286)) % 3.10/3.34 (define @t288 () (tptp.s_e @t17 @t18 @t282 @t281)) % 3.10/3.34 (define @t289 () (not @t288)) % 3.10/3.34 (define @t290 () (tptp.s_e @t15 @t17 @t283 @t282)) % 3.10/3.34 (define @t291 () (tptp.s_t @t283 @t282 @t281)) % 3.10/3.34 (define @t292 () (not @t291)) % 3.10/3.34 (define @t293 () (not @t284)) % 3.10/3.34 (define @t294 () (@list @t15 @t17 @t18 @t24 @t283 @t282 @t281 @t280)) % 3.10/3.34 (define @t295 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t283 @t282 @t281 @t280)) % 3.10/3.34 (define @t296 () (tptp.s_e @t18 @t24 @t281 @t280)) % 3.10/3.34 (define @t297 () (tptp.s_e @t15 @t18 @t283 @t281)) % 3.10/3.34 (define @t298 () (not @t295)) % 3.10/3.34 (define @t299 () (@var "Xb3" $$unsorted)) % 3.10/3.34 (define @t300 () (@var "Xa3" $$unsorted)) % 3.10/3.34 (define @t301 () (tptp.s_e3 @t32 @t156 @t300 @t34 @t160 @t299)) % 3.10/3.34 (define @t302 () (tptp.s_e @t156 @t300 @t160 @t299)) % 3.10/3.34 (define @t303 () (tptp.s_e @t32 @t300 @t34 @t299)) % 3.10/3.34 (define @t304 () (tptp.s_e @t32 @t156 @t34 @t160)) % 3.10/3.34 (define @t305 () (not @t301)) % 3.10/3.34 (define @t306 () (tptp.s_t @t17 @t18 @t15)) % 3.10/3.34 (define @t307 () (tptp.s_e @t15 @t24 @t32 @t60)) % 3.10/3.34 (define @t308 () (tptp.s_t @t19 @t17 @t15)) % 3.10/3.34 (define @t309 () (tptp.s_t @t15 @t133 @t17)) % 3.10/3.34 (define @t310 () (or (not @t309) @t154 @t134)) % 3.10/3.34 (define @t311 () (or @t135 @t153)) % 3.10/3.34 (define @t312 () (or @t135 @t309)) % 3.10/3.34 (define @t313 () (forall @t136 (and @t312 @t311 @t310))) % 3.10/3.34 (define @t314 () (tptp.s_e @t15 @t18 @t15 @t180)) % 3.10/3.34 (define @t315 () (tptp.g811 @t2 @t7 @t13 @t12 @t1)) % 3.10/3.34 (define @t316 () (tptp.f811 @t2 @t7 @t13 @t12 @t1)) % 3.10/3.34 (define @t317 () (tptp.s_col @t13 @t12 @t1)) % 3.10/3.34 (define @t318 () (not @t317)) % 3.10/3.34 (define @t319 () (tptp.s_col @t2 @t7 @t1)) % 3.10/3.34 (define @t320 () (not @t319)) % 3.10/3.34 (define @t321 () (= @t13 @t12)) % 3.10/3.34 (define @t322 () (= @t2 @t7)) % 3.10/3.34 (define @t323 () (tptp.perpAt @t2 @t7 @t1 @t13 @t12)) % 3.10/3.34 (define @t324 () (not @t323)) % 3.10/3.34 (define @t325 () (@var "Xq1" $$unsorted)) % 3.10/3.34 (define @t326 () (tptp.perp @t19 @t16 @t260 @t325)) % 3.10/3.34 (define @t327 () (or @t229 (tptp.s_col @t19 @t16 @t197))) % 3.10/3.34 (define @t328 () (or @t229 (tptp.s_t @t15 @t197 @t17))) % 3.10/3.34 (define @t329 () (or @t229 @t124)) % 3.10/3.34 (define @t330 () (or @t229 @t126)) % 3.10/3.34 (define @t331 () (or @t106 @t125 @t123 (not (tptp.s_t @t15 @t212 @t17)) (not (tptp.s_col @t19 @t16 @t212)) @t228)) % 3.10/3.34 (define @t332 () (@list @t19 @t16 @t15 @t17 @t212)) % 3.10/3.34 (define @t333 () (forall @t332 (and @t331 @t330 @t329 @t328 @t327))) % 3.10/3.34 (define @t334 () (@var "Xv" $$unsorted)) % 3.10/3.34 (define @t335 () (@var "Xu" $$unsorted)) % 3.10/3.34 (define @t336 () (tptp.ss2 @t15 @t17 @t19 @t16)) % 3.10/3.34 (define @t337 () (tptp.ss3 @t15 @t17 @t19 @t16)) % 3.10/3.34 (define @t338 () (tptp.ss1 @t15 @t17 @t19 @t16)) % 3.10/3.34 (define @t339 () (@var "BOUND_VARIABLE_11134" $$unsorted)) % 3.10/3.34 (define @t340 () (@var "BOUND_VARIABLE_11132" $$unsorted)) % 3.10/3.34 (define @t341 () (@var "BOUND_VARIABLE_11138" $$unsorted)) % 3.10/3.34 (define @t342 () (@var "BOUND_VARIABLE_11136" $$unsorted)) % 3.10/3.34 (define @t343 () (or (not (tptp.opposite @t342 @t340 @t339 @t341)) (tptp.s_col @t340 @t339 (tptp.il @t342 @t341 @t340 @t339)))) % 3.10/3.34 (define @t344 () (@var "BOUND_VARIABLE_11140" $$unsorted)) % 3.10/3.34 (define @t345 () (forall (@list @t340 @t339 @t342 @t341 @t344) @t343)) % 3.10/3.34 (define @t346 () (@var "BOUND_VARIABLE_11121" $$unsorted)) % 3.10/3.34 (define @t347 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 3.10/3.34 (define @t348 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 3.10/3.34 (define @t349 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 3.10/3.34 (define @t350 () (or (not (tptp.opposite @t349 @t348 @t347 @t346)) (tptp.s_t @t349 (tptp.il @t349 @t346 @t348 @t347) @t346))) % 3.10/3.34 (define @t351 () (@var "BOUND_VARIABLE_11123" $$unsorted)) % 3.10/3.34 (define @t352 () (forall (@list @t348 @t347 @t349 @t346 @t351) @t350)) % 3.10/3.34 (define @t353 () (@var "BOUND_VARIABLE_11104" $$unsorted)) % 3.10/3.34 (define @t354 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 3.10/3.34 (define @t355 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 3.10/3.34 (define @t356 () (@var "BOUND_VARIABLE_11102" $$unsorted)) % 3.10/3.34 (define @t357 () (or (not (tptp.opposite @t356 @t355 @t354 @t353)) (not (tptp.s_col @t355 @t354 @t353)))) % 3.10/3.34 (define @t358 () (@var "BOUND_VARIABLE_11106" $$unsorted)) % 3.10/3.34 (define @t359 () (forall (@list @t355 @t354 @t356 @t353 @t358) @t357)) % 3.10/3.34 (define @t360 () (@var "BOUND_VARIABLE_11085" $$unsorted)) % 3.10/3.34 (define @t361 () (@var "BOUND_VARIABLE_11083" $$unsorted)) % 3.10/3.34 (define @t362 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 3.10/3.34 (define @t363 () (@var "BOUND_VARIABLE_11087" $$unsorted)) % 3.10/3.34 (define @t364 () (or (not (tptp.opposite @t360 @t362 @t361 @t363)) (not (tptp.s_col @t362 @t361 @t360)))) % 3.10/3.34 (define @t365 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 3.10/3.34 (define @t366 () (forall (@list @t362 @t361 @t360 @t363 @t365) @t364)) % 3.10/3.34 (define @t367 () (@var "BOUND_VARIABLE_11066" $$unsorted)) % 3.10/3.34 (define @t368 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 3.10/3.34 (define @t369 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 3.10/3.34 (define @t370 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 3.10/3.34 (define @t371 () (@var "BOUND_VARIABLE_11068" $$unsorted)) % 3.10/3.34 (define @t372 () (forall (@list @t369 @t368 @t370 @t367 @t371) (or (= @t369 @t368) (tptp.s_col @t369 @t368 @t370) (tptp.s_col @t369 @t368 @t367) (not (tptp.s_t @t370 @t371 @t367)) (not (tptp.s_col @t369 @t368 @t371)) (tptp.opposite @t370 @t369 @t368 @t367)))) % 3.10/3.34 (define @t373 () (forall @t332 @t327)) % 3.10/3.34 (define @t374 () (@list @t19 @t16 @t15 @t17 @t212)) % 3.10/3.34 (define @t375 () (forall @t332 @t328)) % 3.10/3.34 (define @t376 () (forall @t332 @t329)) % 3.10/3.34 (define @t377 () (forall @t332 @t330)) % 3.10/3.34 (define @t378 () (forall @t332 @t331)) % 3.10/3.34 (define @t379 () (and @t378 @t377 @t376 @t375 @t373)) % 3.10/3.34 (define @t380 () (forall @t136 @t310)) % 3.10/3.34 (define @t381 () (@list @t15 @t133 @t17)) % 3.10/3.34 (define @t382 () (forall @t136 @t311)) % 3.10/3.34 (define @t383 () (forall @t136 @t312)) % 3.10/3.34 (define @t384 () (and @t383 @t382 @t380)) % 3.10/3.34 (define @t385 () (tptp.opposite @t19 @t15 @t17 @t256)) % 3.10/3.34 (define @t386 () (or @t48 @t194 @t385)) % 3.10/3.34 (define @t387 () (forall @t152 @t386)) % 3.10/3.34 (define @t388 () (@quantifiers_skolemize @t387 2)) % 3.10/3.34 (define @t389 () (@quantifiers_skolemize @t387 1)) % 3.10/3.34 (define @t390 () (@quantifiers_skolemize @t387 0)) % 3.10/3.34 (define @t391 () (tptp.reflect @t390 @t389 @t388)) % 3.10/3.34 (define @t392 () (tptp.midpoint @t388 @t391)) % 3.10/3.34 (define @t393 () (tptp.s_t @t388 @t392 @t391)) % 3.10/3.34 (define @t394 () (tptp.s_m @t388 @t392 @t391)) % 3.10/3.34 (define @t395 () (not @t394)) % 3.10/3.34 (define @t396 () (or @t395 @t393)) % 3.10/3.34 (define @t397 () (forall @t152 @t257)) % 3.10/3.34 (define @t398 () (@list @t15 @t17 @t19)) % 3.10/3.34 (define @t399 () (forall @t152 @t258)) % 3.10/3.34 (define @t400 () (and @t399 @t397)) % 3.10/3.34 (define @t401 () (@list @t390 @t389 @t388)) % 3.10/3.34 (define @t402 () (not (= @t256 @t256))) % 3.10/3.34 (define @t403 () (or @t48 @t402 @t194 @t385)) % 3.10/3.34 (define @t404 () (@list @t260)) % 3.10/3.34 (define @t405 () (or @t265 @t48 @t265 @t194 @t276)) % 3.10/3.34 (define @t406 () (forall @t404 @t277)) % 3.10/3.34 (define @t407 () (forall @t152 @t406)) % 3.10/3.34 (define @t408 () (tptp.opposite @t388 @t390 @t389 @t391)) % 3.10/3.34 (define @t409 () (tptp.s_col @t390 @t389 @t388)) % 3.10/3.34 (define @t410 () (= @t390 @t389)) % 3.10/3.34 (define @t411 () (or @t410 @t409 @t408)) % 3.10/3.34 (define @t412 () (@list true)) % 3.10/3.34 (define @t413 () (@list @t411)) % 3.10/3.34 (define @t414 () (tptp.s_col @t390 @t389 @t392)) % 3.10/3.34 (define @t415 () (or @t410 @t414)) % 3.10/3.34 (define @t416 () (@list true false)) % 3.10/3.34 (define @t417 () (= @t388 @t391)) % 3.10/3.34 (define @t418 () (not @t417)) % 3.10/3.34 (define @t419 () (or @t410 @t418 @t409)) % 3.10/3.34 (define @t420 () (@list true true false)) % 3.10/3.34 (define @t421 () (= @t391 (tptp.reflect @t390 @t389 @t391))) % 3.10/3.34 (define @t422 () (not @t421)) % 3.10/3.34 (define @t423 () (or @t410 @t422 @t417)) % 3.10/3.34 (define @t424 () (tptp.s_col @t390 @t389 @t391)) % 3.10/3.34 (define @t425 () (not @t424)) % 3.10/3.34 (define @t426 () (or @t410 @t425 @t421)) % 3.10/3.34 (define @t427 () (not @t414)) % 3.10/3.34 (define @t428 () (not @t393)) % 3.10/3.34 (define @t429 () (or @t410 @t409 @t424 @t428 @t427 @t408)) % 3.10/3.34 (define @t430 () (not @t429)) % 3.10/3.34 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 3.10/3.34 (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)))) % 3.10/3.34 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 3.10/3.34 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 3.10/3.34 (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)))) % 3.10/3.34 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 3.10/3.34 (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))))) % 3.10/3.34 (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)))) % 3.10/3.34 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 3.10/3.34 (assume @p10 (forall @t27 (or @t26 (tptp.s_e @t18 @t24 @t15 @t17)))) % 3.10/3.34 (assume @p11 (forall @t30 (or @t26 (not (tptp.s_e @t18 @t24 @t29 @t28)) (tptp.s_e @t15 @t17 @t29 @t28)))) % 3.10/3.34 (assume @p12 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t18 @t24)))) % 3.10/3.34 (assume @p13 (forall @t27 (or @t26 (tptp.s_e @t15 @t17 @t24 @t18)))) % 3.10/3.34 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 3.10/3.34 (assume @p15 (forall @t42 (or @t41 @t39 @t37 @t35 @t33))) % 3.10/3.34 (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))))) % 3.10/3.34 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t43))) % 3.10/3.34 (assume @p18 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t24 @t18)))) % 3.10/3.34 (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)))) % 3.10/3.34 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 3.10/3.34 (assume @p21 (forall @t47 (or @t41 (tptp.s_t @t18 @t17 @t15)))) % 3.10/3.34 (assume @p22 (forall (@list @t32 @t34) (tptp.s_t @t32 @t32 @t34))) % 3.10/3.34 (assume @p23 (forall @t47 (or @t41 (not (tptp.s_t @t17 @t15 @t18)) @t48))) % 3.10/3.34 (assume @p24 (forall @t53 (or @t52 @t50 @t40))) % 3.10/3.34 (assume @p25 (forall @t27 (or @t41 @t55 @t49))) % 3.10/3.34 (assume @p26 (forall @t27 (or @t41 @t50 @t43 @t54))) % 3.10/3.34 (assume @p27 (forall @t53 (or @t52 @t50 @t54))) % 3.10/3.34 (assume @p28 (forall @t27 (or @t41 @t55 @t51))) % 3.10/3.34 (assume @p29 (forall @t27 (or @t41 @t50 @t43 @t51))) % 3.10/3.34 (assume @p30 (not (= tptp.alpha tptp.beta))) % 3.10/3.34 (assume @p31 (not (= tptp.beta tptp.gamma))) % 3.10/3.34 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 3.10/3.34 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t56))) % 3.10/3.34 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t56)))) % 3.10/3.34 (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))))) % 3.10/3.34 (assume @p36 (forall @t62 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) @t61))) % 3.10/3.34 (assume @p37 (forall @t42 (or @t41 @t39 @t63 @t35 @t36))) % 3.10/3.34 (assume @p38 (forall @t65 (and (or @t41 @t63 (tptp.s_t @t32 @t64 @t31)) (or @t41 @t63 (tptp.s_e3 @t15 @t17 @t18 @t32 @t64 @t31))))) % 3.10/3.34 (assume @p39 (forall @t42 (or @t41 @t67 @t38))) % 3.10/3.34 (assume @p40 (forall @t47 (or @t69 (tptp.s_col @t17 @t18 @t15)))) % 3.10/3.34 (assume @p41 (forall @t47 (or @t69 @t70))) % 3.10/3.34 (assume @p42 (forall @t47 (or @t69 (tptp.s_col @t18 @t17 @t15)))) % 3.10/3.34 (assume @p43 (forall @t47 (or @t69 (tptp.s_col @t17 @t15 @t18)))) % 3.10/3.34 (assume @p44 (forall @t47 (or @t69 (tptp.s_col @t15 @t18 @t17)))) % 3.10/3.34 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 3.10/3.34 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 3.10/3.34 (assume @p47 (forall @t42 (or @t69 @t67 (tptp.s_col @t32 @t34 @t31)))) % 3.10/3.34 (assume @p48 (forall (@list @t15 @t17 @t18 @t32 @t34) (or @t69 @t37 (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 (tptp.insert5 @t15 @t17 @t18 @t32 @t34))))) % 3.10/3.34 (assume @p49 (forall @t62 (or @t73 @t48 @t71))) % 3.10/3.34 (assume @p50 (forall @t74 (or @t48 @t69 (not (tptp.s_e @t15 @t19 @t15 @t16)) (not (tptp.s_e @t17 @t19 @t17 @t16)) (tptp.s_e @t18 @t19 @t18 @t16)))) % 3.10/3.34 (assume @p51 (forall (@list @t15 @t17 @t18 @t31) (or @t48 @t69 @t77 @t76 @t75))) % 3.10/3.34 (assume @p52 (forall (@list @t15 @t18 @t17 @t31) (or (not @t78) @t77 @t76 @t75))) % 3.10/3.34 (assume @p53 (forall @t27 (or @t48 @t41 @t52 @t54 (tptp.s_t @t15 @t24 @t18)))) % 3.10/3.34 (assume @p54 (forall @t27 (or @t48 @t41 @t52 @t49 (tptp.s_t @t17 @t24 @t18)))) % 3.10/3.34 (assume @p55 (forall @t53 (or @t52 @t55 @t40 @t78))) % 3.10/3.34 (assume @p56 (forall @t27 (and (or @t82 (tptp.s_t @t15 @t17 @t80)) (or @t82 (tptp.s_e @t15 @t80 @t18 @t24)) (or @t82 (= @t80 (tptp.ext @t15 @t17 @t79 @t24)))))) % 3.10/3.34 (assume @p57 (forall (@list @t15 @t17 @t18 @t24 @t29) (or @t81 (not (tptp.s_t @t15 @t17 @t29)) (not (tptp.s_e @t15 @t29 @t18 @t24))))) % 3.10/3.34 (assume @p58 (forall @t62 (or @t82 @t37 (not @t71) (tptp.le @t32 @t34 @t31 @t60)))) % 3.10/3.34 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 3.10/3.34 (assume @p60 (forall @t30 (or @t82 (not (tptp.le @t18 @t24 @t29 @t28)) (tptp.le @t15 @t17 @t29 @t28)))) % 3.10/3.34 (assume @p61 (forall @t27 (or @t82 (not @t83) @t25))) % 3.10/3.34 (assume @p62 (forall @t27 (or @t81 @t83))) % 3.10/3.34 (assume @p63 (forall (@list @t15 @t18 @t24) (tptp.le @t15 @t15 @t18 @t24))) % 3.10/3.34 (assume @p64 (forall @t47 (or @t69 @t41 @t84))) % 3.10/3.34 (assume @p65 (forall @t47 (or @t69 @t41 @t85))) % 3.10/3.34 (assume @p66 (forall @t47 (or @t41 (not (tptp.s_e @t15 @t18 @t15 @t17)) @t86))) % 3.10/3.34 (assume @p67 (forall @t47 (or @t69 @t40 (not @t84) (not @t85)))) % 3.10/3.34 (assume @p68 (forall @t93 (or @t92 @t91 @t90 @t22 @t89 @t87))) % 3.10/3.34 (assume @p69 (forall @t93 (or @t92 @t91 @t90 @t22 @t88 @t94))) % 3.10/3.34 (assume @p70 (forall @t99 (and @t98 @t96 (or @t94 (not (= @t95 @t19))) (or @t94 (tptp.s_t @t15 @t19 @t95)) (or @t94 (tptp.s_t @t17 @t19 @t95))))) % 3.10/3.34 (assume @p71 (forall @t93 (or @t87 @t92 @t91 @t90 @t22 @t89))) % 3.10/3.34 (assume @p72 (forall @t99 (and (or @t94 @t101) (or @t94 (not @t100))))) % 3.10/3.34 (assume @p73 (forall @t99 (or @t87 (not @t101) @t100))) % 3.10/3.34 (assume @p74 (forall @t102 (or @t92 (tptp.sameside @t15 @t19 @t15)))) % 3.10/3.34 (assume @p75 (forall @t99 (or @t94 (tptp.sameside @t17 @t19 @t15)))) % 3.10/3.34 (assume @p76 (forall @t93 (or @t94 (not (tptp.sameside @t17 @t19 @t18)) (tptp.sameside @t15 @t19 @t18)))) % 3.10/3.34 (assume @p77 (forall (@list @t103 @t15 @t17 @t18) (and (or @t105 @t43 (tptp.sameside @t104 @t15 @t103)) (or @t105 @t43 (tptp.s_e @t15 @t104 @t17 @t18))))) % 3.10/3.34 (assume @p78 (forall (@list @t103 @t15 @t17 @t18 @t19 @t16) (or @t105 @t43 (not (tptp.sameside @t19 @t15 @t103)) (not (tptp.s_e @t15 @t19 @t17 @t18)) (not (tptp.sameside @t16 @t15 @t103)) (not (tptp.s_e @t15 @t16 @t17 @t18)) @t106))) % 3.10/3.34 (assume @p79 (forall @t99 (or @t94 (not @t108) @t107))) % 3.10/3.34 (assume @p80 (forall @t99 (or @t94 @t108 @t109))) % 3.10/3.34 (assume @p81 (forall @t115 (or @t106 @t114 @t113 (not @t112) @t92 @t111 @t110))) % 3.10/3.34 (assume @p82 (forall @t115 (or @t106 @t114 @t113 (not @t111) @t112))) % 3.10/3.34 (assume @p83 (forall @t115 (or @t106 @t114 @t113 (not @t110) @t112))) % 3.10/3.34 (assume @p84 (forall @t115 (or @t106 @t114 @t113 @t97 @t112))) % 3.10/3.34 (assume @p85 (forall @t27 (or @t48 @t117 (not (tptp.s_t @t24 @t15 @t17)) (tptp.s_t @t24 @t18 @t17) (tptp.s_t @t18 @t24 @t17)))) % 3.10/3.34 (assume @p86 (forall (@list @t19 @t16 @t118 @t103) (or @t106 (= @t118 @t19) @t122 @t120 (tptp.s_col @t19 @t118 @t103)))) % 3.10/3.34 (assume @p87 (forall (@list @t19 @t16) (or @t106 (tptp.s_col @t19 @t16 @t19)))) % 3.10/3.34 (assume @p88 (forall (@list @t19 @t16 @t103) (or @t106 @t120 (tptp.s_col @t16 @t19 @t103)))) % 3.10/3.34 (assume @p89 (forall @t127 (or @t48 @t106 @t126 @t124 @t120 (tptp.s_col @t15 @t17 @t103)))) % 3.10/3.34 (assume @p90 (forall (@list @t15 @t17 @t19 @t16 @t18 @t24 @t29) (or @t48 @t106 @t69 @t131 @t129 (not (tptp.s_col @t19 @t16 @t24)) @t128 (not (tptp.s_col @t15 @t17 @t29)) (tptp.s_col @t19 @t16 @t29)))) % 3.10/3.34 (assume @p91 (forall @t23 (or @t48 (not (tptp.s_col @t15 @t17 (tptp.pointOffLine @t15 @t17)))))) % 3.10/3.34 (assume @p92 (forall @t42 (or @t132 (not (tptp.sameside @t32 @t34 @t31)) (not (tptp.s_e @t17 @t15 @t34 @t32)) @t35 @t33))) % 3.10/3.34 (assume @p93 (forall @t136 (or @t135 (tptp.s_m @t17 @t133 @t15)))) % 3.10/3.34 (assume @p94 (forall @t139 (or (not @t138) @t137))) % 3.10/3.34 (assume @p95 (forall @t139 (or @t138 (not @t137)))) % 3.10/3.34 (assume @p96 (forall (@list @t19 @t15) (tptp.s_m @t19 @t15 @t140))) % 3.10/3.34 (assume @p97 (forall (@list @t19 @t15 @t103 @t16) (or (not (tptp.s_m @t19 @t15 @t103)) @t141 (= @t103 @t16)))) % 3.10/3.34 (assume @p98 (forall (@list @t19 @t15 @t16) (or @t141 (= @t16 @t140)))) % 3.10/3.34 (assume @p99 (forall @t102 (= (tptp.s @t15 @t140) @t19))) % 3.10/3.34 (assume @p100 (forall (@list @t15 @t19 @t103 @t16) (or (not (= @t140 @t103)) (not (= @t142 @t103)) @t106))) % 3.10/3.34 (assume @p101 (forall (@list @t15 @t19 @t16) (or (not (= @t140 @t142)) @t106))) % 3.10/3.34 (assume @p102 (forall @t102 (or (not @t144) @t143))) % 3.10/3.34 (assume @p103 (forall @t102 (or @t144 (not @t143)))) % 3.10/3.34 (assume @p104 (forall (@list @t19 @t16 @t15) (tptp.s_e @t19 @t16 @t140 @t142))) % 3.10/3.34 (assume @p105 (forall @t115 (or (not @t147) @t146))) % 3.10/3.34 (assume @p106 (forall @t115 (or @t147 (not @t146)))) % 3.10/3.34 (assume @p107 (forall @t150 (or (not @t149) @t148))) % 3.10/3.34 (assume @p108 (forall @t150 (or @t149 (not @t148)))) % 3.10/3.34 (assume @p109 (forall (@list @t19 @t15 @t16 @t17) (or @t141 (not (tptp.s_m @t19 @t17 @t16)) @t48))) % 3.10/3.34 (assume @p110 (forall @t99 (or (not (= @t140 @t151)) @t48))) % 3.10/3.34 (assume @p111 (forall @t152 (or (not (= (tptp.s @t15 @t151) (tptp.s @t17 @t140))) @t48))) % 3.10/3.34 (assume @p112 (forall @t136 (or (not (tptp.s_col @t15 @t133 @t17)) @t154 @t48 @t134))) % 3.10/3.34 (assume @p113 (forall @t155 (or @t68 (= @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)))) % 3.10/3.34 (assume @p114 (forall @t163 (or @t162 @t159 (not (tptp.le @t18 @t32 @t18 @t156))))) % 3.10/3.34 (assume @p115 (forall @t163 (or @t162 @t159))) % 3.10/3.34 (assume @p116 (forall (@list @t32 @t18 @t156 @t34 @t160 @t158 @t157) (or @t175 @t173 @t171 @t169 @t167 @t165 @t159))) % 3.10/3.34 (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)))) % 3.10/3.34 (assume @p118 (forall @t47 (or @t177 (tptp.s_r @t18 @t17 @t15)))) % 3.10/3.34 (assume @p119 (forall @t179 (or @t177 @t48 (not (tptp.s_col @t17 @t15 @t32)) @t178))) % 3.10/3.34 (assume @p120 (forall @t47 (or @t177 (tptp.s_r @t15 @t17 @t180)))) % 3.10/3.34 (assume @p121 (forall @t23 (tptp.s_r @t15 @t17 @t17))) % 3.10/3.34 (assume @p122 (forall @t179 (or @t177 @t181 (not (tptp.s_t @t15 @t18 @t32)) @t43))) % 3.10/3.34 (assume @p123 (forall @t47 (or @t177 (not (tptp.s_r @t15 @t18 @t17)) @t43))) % 3.10/3.34 (assume @p124 (forall @t23 (or (not (tptp.s_r @t15 @t17 @t15)) @t48))) % 3.10/3.34 (assume @p125 (forall @t47 (or @t177 @t69 @t48 @t86))) % 3.10/3.34 (assume @p126 (forall @t42 (or @t177 @t67 @t182))) % 3.10/3.34 (assume @p127 (forall @t74 (or @t184 (tptp.perpAt @t19 @t16 @t18 @t15 @t17)))) % 3.10/3.34 (assume @p128 (forall @t186 (or @t185 (tptp.perp @t19 @t16 @t15 @t17)))) % 3.10/3.34 (assume @p129 (forall @t74 (and (or @t184 (not @t48)) (or @t184 @t189) (or @t184 @t130) (or @t184 @t68) (or @t184 (tptp.s_col @t15 @t17 @t188)) (or @t184 (tptp.s_col @t19 @t16 @t187)) (or @t184 (not (= @t18 @t188))) (or @t184 (not (= @t18 @t187))) (or @t184 (tptp.s_r @t188 @t18 @t187))))) % 3.10/3.34 (assume @p130 (forall (@list @t15 @t17 @t19 @t16 @t190 @t191 @t6) (or @t48 @t106 (not (tptp.s_col @t19 @t16 @t190)) (not (tptp.s_col @t15 @t17 @t190)) @t192 (not (tptp.s_col @t19 @t16 @t6)) (= @t190 @t191) (= @t190 @t6) (not (tptp.s_r @t191 @t190 @t6)) (tptp.perpAt @t15 @t17 @t190 @t19 @t16)))) % 3.10/3.34 (assume @p131 (forall @t186 (or @t185 @t195 @t193))) % 3.10/3.34 (assume @p132 (forall @t196 (or @t185 @t69 @t131 @t183))) % 3.10/3.34 (assume @p133 (forall @t74 (or @t184 (= @t18 @t197)))) % 3.10/3.34 (assume @p134 (forall @t53 (or @t48 @t129 @t199 (tptp.perpAt @t15 @t17 @t24 @t18 @t24)))) % 3.10/3.34 (assume @p135 (forall @t196 (and (or @t48 @t195 @t193 @t203 @t69 @t201) (or @t48 @t195 @t193 @t203 @t202 @t201)))) % 3.10/3.34 (assume @p136 (forall @t196 (or @t48 @t195 @t193 @t203 @t200 @t68 (not @t202)))) % 3.10/3.34 (assume @p137 (forall @t74 (or @t68 @t195 @t193 @t201 (not (tptp.perp @t15 @t17 @t18 @t16)) @t106))) % 3.10/3.34 (assume @p138 (forall @t47 (and (or @t68 (tptp.s_col @t15 @t17 @t204)) (or @t68 (tptp.perp @t15 @t17 @t18 @t204))))) % 3.10/3.34 (assume @p139 (forall @t206 (or @t177 @t205 (tptp.s_r @t17 @t15 @t19)))) % 3.10/3.34 (assume @p140 (forall @t206 (or @t177 @t205 @t43 @t97))) % 3.10/3.34 (assume @p141 (forall @t186 (or @t185 (tptp.perp @t17 @t15 @t19 @t16)))) % 3.10/3.34 (assume @p142 (forall @t155 (or @t48 @t128 @t69 @t129 @t207 @t194))) % 3.10/3.34 (assume @p143 (forall @t47 (and (or @t48 (tptp.perp @t15 @t17 @t208 @t15) @t68) (or @t48 (tptp.s_col @t15 @t17 @t209) @t68) (or @t48 (tptp.s_t @t18 @t209 @t208) @t68)))) % 3.10/3.34 (assume @p144 (forall @t47 (and (or @t48 (tptp.perp @t15 @t17 @t210 @t15)) (or @t48 (tptp.s_col @t15 @t17 @t211)) (or @t48 (tptp.s_t @t18 @t211 @t210))))) % 3.10/3.34 (assume @p145 (forall (@list @t15 @t19 @t17 @t16 @t212) (or (not (tptp.le @t15 @t19 @t17 @t16)) (not (tptp.perp @t15 @t17 @t15 @t19)) (not (tptp.perp @t15 @t17 @t17 @t16)) @t214 @t213 (tptp.s_m @t15 (tptp.midpointAux @t15 @t17 @t19 @t16 @t212) @t17)))) % 3.10/3.34 (assume @p146 (forall @t23 (tptp.s_m @t15 @t215 @t17))) % 3.10/3.34 (assume @p147 (forall @t221 (or @t220 @t219 @t213 @t214 @t218 @t217 @t216 (tptp.s_m @t15 @t190 @t17)))) % 3.10/3.34 (assume @p148 (forall @t221 (or @t220 @t219 @t213 @t214 @t218 @t217 @t216 (tptp.s_m @t19 @t190 @t103)))) % 3.10/3.34 (assume @p149 (forall (@list @t19 @t15 @t17 @t16 @t212 @t103) (or @t220 @t219 @t213 @t214 @t218 @t217 (tptp.s_m @t19 @t215 @t103)))) % 3.10/3.34 (assume @p150 (forall @t27 (or @t69 @t129 @t48 @t222))) % 3.10/3.34 (assume @p151 (forall (@list @t15 @t17 @t19 @t16 @t103 @t18 @t24) (or @t195 @t193 @t106 @t48 (not (tptp.perpAt @t19 @t16 @t103 @t18 @t24)) (tptp.perpAt @t15 @t17 @t103 @t18 @t24)))) % 3.10/3.34 (assume @p152 (forall @t224 (or @t195 @t193 @t106 @t48 (not @t223) @t198))) % 3.10/3.34 (assume @p153 (forall @t27 (or @t48 @t225 @t43 (= @t24 @t18) (= @t15 @t24) (not (tptp.perp @t17 @t15 @t15 @t18)) (not @t222) (tptp.perp @t17 @t15 @t15 @t24)))) % 3.10/3.34 (assume @p154 (forall @t186 (or @t185 (tptp.perp @t15 @t17 @t16 @t19)))) % 3.10/3.34 (assume @p155 (forall @t224 (or @t195 @t193 @t106 @t48 @t223 @t199))) % 3.10/3.34 (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)))) % 3.10/3.34 (assume @p157 (forall @t74 (or @t69 @t48 @t225 @t226 (tptp.samesideline @t19 @t16 @t15 @t18)))) % 3.10/3.34 (assume @p158 (forall @t186 (or @t48 @t226 @t227))) % 3.10/3.34 (assume @p159 (forall @t230 (or @t229 (tptp.opposite @t17 @t19 @t16 @t15)))) % 3.10/3.34 (assume @p160 (forall @t237 (or @t236 @t234 @t233 @t120 @t232 @t231 (not (tptp.s_t @t103 @t17 @t15))))) % 3.10/3.34 (assume @p161 (forall @t237 (or @t236 @t234 @t233 @t120 @t232 @t231))) % 3.10/3.34 (assume @p162 (forall (@list @t15 @t17 @t18 @t133) (or @t132 (tptp.sameside (tptp.s @t133 @t15) (tptp.s @t133 @t17) (tptp.s @t133 @t18))))) % 3.10/3.34 (assume @p163 (forall @t246 (or @t236 @t106 @t122 @t120 @t245 @t244 @t243 @t242 @t240 @t239 @t238))) % 3.10/3.34 (assume @p164 (forall @t246 (or @t236 @t106 @t122 @t120 @t245 @t244 @t243 @t241 @t240 @t239 (not @t238)))) % 3.10/3.34 (assume @p165 (forall @t246 (or @t236 @t106 @t122 @t120 @t245 @t244 @t243 @t242 (not @t239) @t238))) % 3.10/3.34 (assume @p166 (forall @t246 (or @t236 @t106 @t122 @t120 @t245 @t244 @t243 @t242 @t238))) % 3.10/3.34 (assume @p167 (forall (@list @t15 @t19 @t16 @t18 @t118 @t103 @t133 @t191 @t6) (or @t236 @t106 @t122 @t120 @t245 @t244 @t243 @t242 (not (tptp.sameside @t6 @t118 @t18)) (tptp.opposite @t191 @t19 @t16 @t6)))) % 3.10/3.34 (assume @p168 (forall (@list @t15 @t19 @t16 @t18 @t103 @t17) (or @t236 @t120 @t232 @t231))) % 3.10/3.34 (assume @p169 (forall (@list @t15 @t18 @t19 @t17 @t16) (and (or @t248 @t21 (tptp.s_t @t15 @t247 @t17)) (or @t248 @t21 (tptp.s_t @t19 @t16 @t247))))) % 3.10/3.34 (assume @p170 (forall (@list @t15 @t19 @t16 @t18 @t17) (or @t236 @t231 @t250))) % 3.10/3.34 (assume @p171 (forall @t230 (or @t229 @t250))) % 3.10/3.34 (assume @p172 (forall (@list @t19 @t16 @t15 @t17 @t18) (or @t106 @t250 @t251 (tptp.samesideline @t15 @t18 @t19 @t16)))) % 3.10/3.34 (assume @p173 (forall (@list @t19 @t16 @t15 @t17) (or @t226 @t227))) % 3.10/3.34 (assume @p174 (forall (@list @t15 @t17 @t191 @t6 @t9) (or @t48 (not (tptp.s_m @t191 @t6 @t9)) @t192 (not (tptp.s_col @t15 @t17 @t9)) (tptp.s_col @t15 @t17 @t6)))) % 3.10/3.34 (assume @p175 (forall (@list @t24 @t29 @t60 @t15 @t17) (or (= @t24 @t29) (not (tptp.s_t @t29 @t24 @t60)) (not (tptp.samesideline @t15 @t17 @t60 @t29)) (tptp.samesideline @t15 @t17 @t24 @t29)))) % 3.10/3.34 (assume @p176 (forall @t186 (or @t48 @t226 (tptp.samesideline @t16 @t19 @t15 @t17)))) % 3.10/3.34 (assume @p177 (forall (@list @t15 @t19 @t16 @t17 @t18) (or @t229 @t251 @t235))) % 3.10/3.34 (assume @p178 (forall (@list @t19 @t16 @t18 @t15 @t17) (or @t106 (not (tptp.perpAt @t19 @t16 @t18 @t15 @t18)) (not (tptp.perpAt @t19 @t16 @t18 @t17 @t18)) @t225 @t70))) % 3.10/3.34 (assume @p179 (forall @t255 (or @t106 @t119 @t121 @t254 @t253 (not @t252)))) % 3.10/3.34 (assume @p180 (forall @t255 (or @t106 @t119 @t121 @t254 @t253 @t252))) % 3.10/3.34 (assume @p181 (forall @t255 (or @t106 @t119 @t121 @t254 @t253))) % 3.10/3.34 (assume @p182 (forall @t127 (or @t250 (not (tptp.sameside @t15 @t16 @t103)) (tptp.samesideline @t103 @t17 @t19 @t16)))) % 3.10/3.34 (assume @p183 (forall (@list @t18 @t24 @t19 @t15 @t17) (or @t128 @t207 @t195 @t94 (tptp.s_col @t18 @t24 @t15) (tptp.samesideline @t15 @t17 @t18 @t24)))) % 3.10/3.34 (assume @p184 @t259) % 3.10/3.34 (assume @p185 (forall @t263 (and (or @t48 @t262 (not (tptp.perp @t15 @t17 @t19 @t260)) @t261) (or @t48 @t262 (not (= @t19 @t260)) @t261)))) % 3.10/3.34 (assume @p186 (forall @t263 (or @t48 @t265 (= @t264 @t19)))) % 3.10/3.34 (assume @p187 (forall @t152 (or @t48 (= (tptp.reflect @t15 @t17 @t256) @t19)))) % 3.10/3.34 (assume @p188 (forall @t263 (or @t48 @t265 (= @t19 @t264)))) % 3.10/3.34 (assume @p189 (forall @t186 (or @t48 (not (= @t256 @t266)) @t106))) % 3.10/3.34 (assume @p190 @t270) % 3.10/3.34 (assume @p191 @t272) % 3.10/3.34 (assume @p192 (forall @t186 (or @t48 @t195 @t273))) % 3.10/3.34 (assume @p193 (forall @t186 (or @t48 @t273))) % 3.10/3.34 (assume @p194 (forall @t179 (or @t177 @t181 @t274 (tptp.s_e @t15 @t18 @t32 @t18)))) % 3.10/3.34 (assume @p195 (forall @t65 (or @t177 @t275 @t274 @t76 @t33 (not (= @t17 (tptp.midpoint @t18 @t31))) @t75))) % 3.10/3.34 (assume @p196 (forall @t65 (or @t177 @t275 @t274 @t76 @t33))) % 3.10/3.34 (assume @p197 (forall @t42 (or @t177 (not @t182) @t37 @t35 @t33))) % 3.10/3.34 (assume @p198 @t279) % 3.10/3.34 (assume @p199 (forall (@list @t15 @t17 @t32 @t31) (= @t64 (tptp.ext (tptp.ext @t31 @t32 tptp.alpha tptp.gamma) @t32 @t15 @t17)))) % 3.10/3.34 (assume @p200 (forall @t294 (and (or @t293 @t40) (or @t293 @t291) (or @t293 @t290) (or @t293 @t288) (or @t293 @t286) (or @t293 @t285) (or @t41 @t292 (not @t290) @t289 @t287 (not @t285) @t284)))) % 3.10/3.34 (assume @p201 (forall @t294 (and (or @t298 @t40) (or @t298 @t291) (or @t298 @t297) (or @t298 @t288) (or @t298 @t286) (or @t298 @t296) (or @t41 @t292 (not @t297) @t289 @t287 (not @t296) @t295)))) % 3.10/3.34 (assume @p202 (forall (@list @t32 @t156 @t300 @t34 @t160 @t299) (and (or @t305 @t304) (or @t305 @t303) (or @t305 @t302) (or (not @t304) (not @t303) (not @t302) @t301)))) % 3.10/3.34 (assume @p203 (forall @t47 (and (or @t69 @t40 @t306 @t116) (or @t68 @t41) (or @t68 (not @t306)) (or @t68 @t117)))) % 3.10/3.34 (assume @p204 (forall @t62 (and (or @t73 @t68) (or @t73 @t66) (or @t73 @t307) (or @t73 @t61) (or @t69 @t67 (not @t307) (not @t61) @t72)))) % 3.10/3.34 (assume @p205 (forall (@list @t15 @t17 @t18 @t24 @t2) (and (or @t82 (tptp.s_t @t18 @t79 @t24)) (or @t82 (tptp.s_e @t15 @t17 @t18 @t79)) (or (not (tptp.s_t @t18 @t2 @t24)) (not (tptp.s_e @t15 @t17 @t18 @t2)) @t81)))) % 3.10/3.34 (assume @p206 (forall @t99 (and @t98 @t96 (or @t94 @t107 @t308) (or @t109 @t92 (= tptp.xb @t19) @t87) (or (not @t308) @t92 @t91 @t87)))) % 3.10/3.34 (assume @p207 @t313) % 3.10/3.34 (assume @p208 (forall @t163 (and (or @t162 @t174) (or @t162 @t172) (or @t162 @t170) (or @t162 @t168) (or @t162 @t166) (or @t162 @t164) (or @t175 @t173 @t171 @t169 @t167 @t165 @t161)))) % 3.10/3.34 (assume @p209 (forall @t47 (and (or @t177 @t314) (or @t176 (not @t314))))) % 3.10/3.34 (assume @p210 (forall (@list @t2 @t7 @t1 @t13 @t12 @t191 @t6) (and (or @t324 @t319) (or @t324 @t317) (or @t324 (not @t322)) (or @t324 (not @t321)) (or @t324 (not (tptp.s_col @t2 @t7 @t191)) (not (tptp.s_col @t13 @t12 @t6)) (tptp.s_r @t191 @t1 @t6)) (or @t323 @t322 @t321 @t320 @t318 (tptp.s_col @t2 @t7 @t316)) (or @t323 @t322 @t321 @t320 @t318 (tptp.s_col @t13 @t12 @t315)) (or @t323 @t322 @t321 @t320 @t318 (not (tptp.s_r @t316 @t1 @t315)))))) % 3.10/3.34 (assume @p211 (forall (@list @t19 @t16 @t260 @t325 @t1) (and (or (not @t326) (tptp.perpAt @t19 @t16 (tptp.il @t19 @t16 @t260 @t325) @t260 @t325)) (or @t326 (not (tptp.perpAt @t19 @t16 @t1 @t260 @t325)))))) % 3.10/3.34 (assume @p212 @t333) % 3.10/3.34 (assume @p213 (forall (@list @t15 @t17 @t19 @t16 @t335 @t18 @t334) (and (or @t250 (tptp.s_col @t19 @t16 @t338)) (or @t250 (tptp.s_col @t19 @t16 @t336)) (or @t250 (tptp.s_t @t15 @t338 @t337)) (or @t250 (tptp.s_t @t17 @t336 @t337)) (or @t250 (not (= @t15 @t338))) (or @t250 (not (= @t17 @t336))) (or @t250 (not (= @t337 @t338))) (or @t250 (not (= @t337 @t336))) (or @t250 @t189) (or @t250 @t126) (or @t250 @t124) (or (not (tptp.s_t @t15 @t335 @t18)) (not (tptp.s_t @t17 @t334 @t18)) (not (tptp.s_col @t19 @t16 @t335)) (not (tptp.s_col @t19 @t16 @t334)) @t106 (= @t18 @t335) (= @t18 @t334) (= @t15 @t335) (= @t17 @t334) @t125 @t123 @t249)))) % 3.10/3.34 (assume @p214 true) % 3.10/3.34 (step @p215 :rule quant-unused-vars :args ((= @t345 (forall (@list @t340 @t339 @t342 @t341) @t343)))) % 3.10/3.34 (step @p216 :rule quant-unused-vars :args ((= @t352 (forall (@list @t348 @t347 @t349 @t346) @t350)))) % 3.10/3.34 (step @p217 :rule quant-unused-vars :args ((= @t359 (forall (@list @t355 @t354 @t356 @t353) @t357)))) % 3.10/3.34 (step @p218 :rule quant-unused-vars :args ((= @t366 (forall (@list @t362 @t361 @t360 @t363) @t364)))) % 3.10/3.34 (step @p219 :rule refl :args (@t372)) % 3.10/3.34 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217 @p216 @p215) :args ((and @t372 @t366 @t359 @t352 @t345))) % 3.10/3.34 (step @p221 :rule alpha_equiv :args (@t373 @t374 (@list @t340 @t339 @t342 @t341 @t344))) % 3.10/3.34 (step @p222 :rule alpha_equiv :args (@t375 @t374 (@list @t348 @t347 @t349 @t346 @t351))) % 3.10/3.34 (step @p223 :rule alpha_equiv :args (@t376 @t374 (@list @t355 @t354 @t356 @t353 @t358))) % 3.10/3.34 (step @p224 :rule alpha_equiv :args (@t377 @t374 (@list @t362 @t361 @t360 @t363 @t365))) % 3.10/3.34 (step @p225 :rule alpha_equiv :args (@t378 @t374 (@list @t369 @t368 @t370 @t367 @t371))) % 3.10/3.34 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223 @p222 @p221) :args (@t379)) % 3.10/3.34 (step @p227 :rule quant-miniscope-and :args ((= @t333 @t379))) % 3.10/3.34 (step @p228 :rule trans :premises (@p227 @p226)) % 3.10/3.34 (step @p229 :rule trans :premises (@p228 @p220)) % 3.10/3.34 (step @p230 :rule eq_resolve :premises (@p212 @p229)) % 3.10/3.34 (step @p231 :rule and_elim :premises (@p230) :args (0)) % 3.10/3.34 (step @p232 :rule alpha_equiv :args (@t380 @t381 (@list (@var "BOUND_VARIABLE_10605" $$unsorted) (@var "BOUND_VARIABLE_10607" $$unsorted) (@var "BOUND_VARIABLE_10609" $$unsorted)))) % 3.10/3.34 (step @p233 :rule alpha_equiv :args (@t382 @t381 (@list (@var "BOUND_VARIABLE_10593" $$unsorted) (@var "BOUND_VARIABLE_10595" $$unsorted) (@var "BOUND_VARIABLE_10597" $$unsorted)))) % 3.10/3.34 (step @p234 :rule alpha_equiv :args (@t383 @t381 (@list (@var "BOUND_VARIABLE_10581" $$unsorted) (@var "BOUND_VARIABLE_10583" $$unsorted) (@var "BOUND_VARIABLE_10585" $$unsorted)))) % 3.10/3.34 (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args (@t384)) % 3.10/3.34 (step @p236 :rule quant-miniscope-and :args ((= @t313 @t384))) % 3.10/3.34 (step @p237 :rule trans :premises (@p236 @p235)) % 3.10/3.34 (step @p238 :rule eq_resolve :premises (@p207 @p237)) % 3.10/3.34 (step @p239 :rule and_elim :premises (@p238) :args (0)) % 3.10/3.34 (step @p240 :rule instantiate :premises (@p239) :args ((@list @t388 @t392 @t391))) % 3.10/3.34 (step @p241 :rule instantiate :premises (@p146) :args ((@list @t388 @t391))) % 3.10/3.34 (step @p242 :rule cnf_or_pos :args (@t396)) % 3.10/3.34 (step @p243 :rule reordering :premises (@p242) :args ((or @t395 @t393 (not @t396)))) % 3.10/3.34 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p240) :args (@t393 (@list false false) (@list @t394 @t396))) % 3.10/3.34 (step @p245 :rule alpha_equiv :args (@t397 @t398 (@list (@var "BOUND_VARIABLE_9724" $$unsorted) (@var "BOUND_VARIABLE_9726" $$unsorted) (@var "BOUND_VARIABLE_9728" $$unsorted)))) % 3.10/3.34 (step @p246 :rule alpha_equiv :args (@t399 @t398 (@list (@var "BOUND_VARIABLE_9711" $$unsorted) (@var "BOUND_VARIABLE_9713" $$unsorted) (@var "BOUND_VARIABLE_9715" $$unsorted)))) % 3.10/3.34 (step @p247 :rule nary_cong :premises (@p246 @p245) :args (@t400)) % 3.10/3.34 (step @p248 :rule quant-miniscope-and :args ((= @t259 @t400))) % 3.10/3.34 (step @p249 :rule trans :premises (@p248 @p247)) % 3.10/3.34 (step @p250 :rule eq_resolve :premises (@p184 @p249)) % 3.10/3.34 (step @p251 :rule and_elim :premises (@p250) :args (0)) % 3.10/3.34 (step @p252 :rule instantiate :premises (@p251) :args (@t401)) % 3.10/3.34 (step @p253 :rule aci_norm :args ((= (or @t48 false @t194 @t385) @t386))) % 3.10/3.34 (step @p254 :rule refl :args (@t385)) % 3.10/3.34 (step @p255 :rule refl :args (@t194)) % 3.10/3.34 (step @p256 :rule evaluate :args ((not true))) % 3.10/3.34 (step @p257 :rule eq-refl :args (@t256)) % 3.10/3.34 (step @p258 :rule cong :premises (@p257) :args (@t402)) % 3.10/3.34 (step @p259 :rule trans :premises (@p258 @p256)) % 3.10/3.34 (step @p260 :rule refl :args (@t48)) % 3.10/3.34 (step @p261 :rule nary_cong :premises (@p260 @p259 @p255 @p254) :args (@t403)) % 3.10/3.34 (step @p262 :rule trans :premises (@p261 @p253)) % 3.10/3.34 (step @p263 :rule cong :premises (@p262) :args ((forall @t152 @t403))) % 3.10/3.34 (step @p264 :rule quant-var-elim-eq :args ((= (forall @t404 (or (not @t261) @t48 @t265 @t194 @t276)) @t403))) % 3.10/3.34 (step @p265 :rule refl :args (@t276)) % 3.10/3.34 (step @p266 :rule refl :args (@t194)) % 3.10/3.34 (step @p267 :rule refl :args (@t265)) % 3.10/3.35 (step @p268 :rule refl :args (@t48)) % 3.10/3.35 (step @p269 :rule eq-symm :args (@t256 @t260)) % 3.10/3.35 (step @p270 :rule cong :premises (@p269) :args (@t265)) % 3.10/3.35 (step @p271 :rule nary_cong :premises (@p270 @p268 @p267 @p266 @p265) :args (@t405)) % 3.10/3.35 (step @p272 :rule aci_norm :args ((= @t277 @t405))) % 3.10/3.35 (step @p273 :rule trans :premises (@p272 @p271)) % 3.10/3.35 (step @p274 :rule cong :premises (@p273) :args (@t406)) % 3.10/3.35 (step @p275 :rule trans :premises (@p274 @p264)) % 3.10/3.35 (step @p276 :rule cong :premises (@p275) :args (@t407)) % 3.10/3.35 (step @p277 :rule quant-merge-prenex :args ((= @t407 @t278))) % 3.10/3.35 (step @p278 :rule symm :premises (@p277)) % 3.10/3.35 (step @p279 :rule trans :premises (@p278 @p276)) % 3.10/3.35 (step @p280 :rule trans :premises (@p279 @p263)) % 3.10/3.35 (step @p281 :rule cong :premises (@p280) :args (@t279)) % 3.10/3.35 (step @p282 :rule eq_resolve :premises (@p198 @p281)) % 3.10/3.35 (step @p283 :rule skolemize :premises (@p282)) % 3.10/3.35 (step @p284 :rule cnf_or_neg :args (@t411 0)) % 3.10/3.35 (step @p285 :rule chain_m_resolution :premises (@p284 @p283) :args ((not @t410) @t412 @t413)) % 3.10/3.35 (step @p286 :rule cnf_or_pos :args (@t415)) % 3.10/3.35 (step @p287 :rule reordering :premises (@p286) :args ((or @t410 @t414 (not @t415)))) % 3.10/3.35 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p252) :args (@t414 @t416 (@list @t410 @t415))) % 3.10/3.35 (step @p289 :rule eq-symm :args (@t256 @t19)) % 3.10/3.35 (step @p290 :rule refl :args (@t195)) % 3.10/3.35 (step @p291 :rule nary_cong :premises (@p260 @p290 @p289) :args (@t271)) % 3.10/3.35 (step @p292 :rule cong :premises (@p291) :args (@t272)) % 3.10/3.35 (step @p293 :rule eq_resolve :premises (@p191 @p292)) % 3.10/3.35 (step @p294 :rule instantiate :premises (@p293) :args ((@list @t390 @t389 @t391))) % 3.10/3.35 (step @p295 :rule instantiate :premises (@p189) :args ((@list @t390 @t389 @t388 @t391))) % 3.10/3.35 (step @p296 :rule cong :premises (@p289) :args (@t268)) % 3.10/3.35 (step @p297 :rule nary_cong :premises (@p260 @p296 @p255) :args (@t269)) % 3.10/3.35 (step @p298 :rule cong :premises (@p297) :args (@t270)) % 3.10/3.35 (step @p299 :rule eq_resolve :premises (@p190 @p298)) % 3.10/3.35 (step @p300 :rule instantiate :premises (@p299) :args (@t401)) % 3.10/3.35 (step @p301 :rule cnf_or_neg :args (@t411 1)) % 3.10/3.35 (step @p302 :rule chain_m_resolution :premises (@p301 @p283) :args ((not @t409) @t412 @t413)) % 3.10/3.35 (step @p303 :rule cnf_or_pos :args (@t419)) % 3.10/3.35 (step @p304 :rule reordering :premises (@p303) :args ((or @t410 @t409 @t418 (not @t419)))) % 3.10/3.35 (step @p305 :rule chain_m_resolution :premises (@p304 @p285 @p302 @p300) :args (@t418 @t420 (@list @t410 @t409 @t419))) % 3.10/3.35 (step @p306 :rule cnf_or_pos :args (@t423)) % 3.10/3.35 (step @p307 :rule reordering :premises (@p306) :args ((or @t410 @t417 @t422 (not @t423)))) % 3.10/3.35 (step @p308 :rule chain_m_resolution :premises (@p307 @p285 @p305 @p295) :args (@t422 @t420 (@list @t410 @t417 @t423))) % 3.10/3.35 (step @p309 :rule cnf_or_pos :args (@t426)) % 3.10/3.35 (step @p310 :rule reordering :premises (@p309) :args ((or @t410 @t425 @t421 (not @t426)))) % 3.10/3.35 (step @p311 :rule chain_m_resolution :premises (@p310 @p285 @p308 @p294) :args (@t425 @t420 (@list @t410 @t421 @t426))) % 3.10/3.35 (step @p312 :rule cnf_or_neg :args (@t411 2)) % 3.10/3.35 (step @p313 :rule chain_m_resolution :premises (@p312 @p283) :args ((not @t408) @t412 @t413)) % 3.10/3.35 (step @p314 :rule cnf_or_pos :args (@t429)) % 3.10/3.35 (step @p315 :rule reordering :premises (@p314) :args ((or @t410 @t409 @t408 @t424 @t427 @t428 @t430))) % 3.10/3.35 (step @p316 :rule chain_m_resolution :premises (@p315 @p285 @p302 @p313 @p311 @p288 @p244) :args (@t430 (@list true true true true false false) (@list @t410 @t409 @t408 @t424 @t414 @t393))) % 3.10/3.35 (assume-push @p323 @t372) % 3.10/3.35 (step @p318 :rule instantiate :premises (@p231) :args ((@list @t390 @t389 @t388 @t391 @t392))) % 3.10/3.35 (step-pop @p324 :rule scope :premises (@p318)) % 3.10/3.35 (step @p319 :rule process_scope :premises (@p324) :args (@t429)) % 3.10/3.35 (step @p321 :rule implies_elim :premises (@p319)) % 3.10/3.35 (step @p322 false :rule chain_m_resolution :premises (@p321 @p316 @p231) :args (false @t416 (@list @t429 @t372))) % 3.10/3.35 ) % 3.10/3.35 % SZS output end Proof % 3.10/3.35 % cvc5 exiting %------------------------------------------------------------------------------