%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO504+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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:17:19 AM UTC 2026 % Result : Theorem 1.23s 1.48s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO504+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 % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:56:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.23/1.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.23/1.48 % SZS status Theorem % 1.23/1.48 % SZS output start Proof % 1.23/1.48 ( % 1.23/1.48 (declare-sort $$unsorted 0) % 1.23/1.48 (declare-const tptp.il (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.perp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.g811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.s_kf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.gamma $$unsorted) % 1.23/1.48 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.beta $$unsorted) % 1.23/1.48 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.s_r (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.xb $$unsorted) % 1.23/1.48 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.alpha $$unsorted) % 1.23/1.48 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.pointOffLine (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.s_m (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.isomidpoint (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.f811 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.perpAt (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (define @t1 () (@var "X" $$unsorted)) % 1.23/1.48 (define @t2 () (@var "Y" $$unsorted)) % 1.23/1.48 (define @t3 () (@list @t1 @t2)) % 1.23/1.48 (define @t4 () (@var "V2" $$unsorted)) % 1.23/1.48 (define @t5 () (@var "Z2" $$unsorted)) % 1.23/1.48 (define @t6 () (@var "V" $$unsorted)) % 1.23/1.48 (define @t7 () (@var "Z" $$unsorted)) % 1.23/1.48 (define @t8 () (= @t1 @t2)) % 1.23/1.48 (define @t9 () (@var "W" $$unsorted)) % 1.23/1.48 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 1.23/1.48 (define @t11 () (@var "V1" $$unsorted)) % 1.23/1.48 (define @t12 () (@var "Z1" $$unsorted)) % 1.23/1.48 (define @t13 () (@var "Y1" $$unsorted)) % 1.23/1.48 (define @t14 () (@var "X1" $$unsorted)) % 1.23/1.48 (define @t15 () (@var "Xa" $$unsorted)) % 1.23/1.48 (define @t16 () (@var "Xq" $$unsorted)) % 1.23/1.48 (define @t17 () (@var "Xb" $$unsorted)) % 1.23/1.48 (define @t18 () (@var "Xc" $$unsorted)) % 1.23/1.48 (define @t19 () (@var "Xp" $$unsorted)) % 1.23/1.48 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 1.23/1.48 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 1.23/1.48 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 1.23/1.48 (define @t23 () (@list @t15 @t17)) % 1.23/1.48 (define @t24 () (@var "Xd" $$unsorted)) % 1.23/1.48 (define @t25 () (tptp.s_e @t15 @t17 @t18 @t24)) % 1.23/1.48 (define @t26 () (not @t25)) % 1.23/1.48 (define @t27 () (@list @t15 @t17 @t18 @t24)) % 1.23/1.48 (define @t28 () (@var "Xf" $$unsorted)) % 1.23/1.48 (define @t29 () (@var "Xe" $$unsorted)) % 1.23/1.48 (define @t30 () (@list @t15 @t17 @t18 @t24 @t29 @t28)) % 1.23/1.48 (define @t31 () (@var "Xc1" $$unsorted)) % 1.23/1.48 (define @t32 () (@var "Xa1" $$unsorted)) % 1.23/1.48 (define @t33 () (tptp.s_e @t15 @t18 @t32 @t31)) % 1.23/1.48 (define @t34 () (@var "Xb1" $$unsorted)) % 1.23/1.48 (define @t35 () (not (tptp.s_e @t17 @t18 @t34 @t31))) % 1.23/1.48 (define @t36 () (tptp.s_e @t15 @t17 @t32 @t34)) % 1.23/1.48 (define @t37 () (not @t36)) % 1.23/1.48 (define @t38 () (tptp.s_t @t32 @t34 @t31)) % 1.23/1.48 (define @t39 () (not @t38)) % 1.23/1.48 (define @t40 () (tptp.s_t @t15 @t17 @t18)) % 1.23/1.48 (define @t41 () (not @t40)) % 1.23/1.48 (define @t42 () (@list @t15 @t17 @t18 @t32 @t34 @t31)) % 1.23/1.48 (define @t43 () (= @t17 @t18)) % 1.23/1.48 (define @t44 () (@var "XC" $$unsorted)) % 1.23/1.48 (define @t45 () (@var "XA" $$unsorted)) % 1.23/1.48 (define @t46 () (@var "XB" $$unsorted)) % 1.23/1.48 (define @t47 () (@list @t15 @t17 @t18)) % 1.23/1.48 (define @t48 () (= @t15 @t17)) % 1.23/1.48 (define @t49 () (tptp.s_t @t17 @t18 @t24)) % 1.23/1.48 (define @t50 () (not @t49)) % 1.23/1.48 (define @t51 () (tptp.s_t @t15 @t17 @t24)) % 1.23/1.48 (define @t52 () (not @t51)) % 1.23/1.48 (define @t53 () (@list @t15 @t17 @t24 @t18)) % 1.23/1.48 (define @t54 () (tptp.s_t @t15 @t18 @t24)) % 1.23/1.48 (define @t55 () (not @t54)) % 1.23/1.48 (define @t56 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 1.23/1.48 (define @t57 () (tptp.crossbar @t15 @t17 @t18 @t32 @t34 @t19)) % 1.23/1.48 (define @t58 () (not (tptp.s_t @t15 @t19 @t32))) % 1.23/1.48 (define @t59 () (not (tptp.s_t @t32 @t34 @t18))) % 1.23/1.48 (define @t60 () (@var "Xd1" $$unsorted)) % 1.23/1.48 (define @t61 () (tptp.s_e @t17 @t24 @t34 @t60)) % 1.23/1.48 (define @t62 () (@list @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 1.23/1.48 (define @t63 () (not @t33)) % 1.23/1.48 (define @t64 () (tptp.insert @t15 @t17 @t32 @t31)) % 1.23/1.48 (define @t65 () (tptp.s_e3 @t15 @t17 @t18 @t32 @t34 @t31)) % 1.23/1.48 (define @t66 () (not @t65)) % 1.23/1.48 (define @t67 () (tptp.s_col @t15 @t17 @t18)) % 1.23/1.48 (define @t68 () (not @t67)) % 1.23/1.48 (define @t69 () (tptp.s_e @t18 @t24 @t31 @t60)) % 1.23/1.48 (define @t70 () (tptp.s_fs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) % 1.23/1.48 (define @t71 () (not @t70)) % 1.23/1.48 (define @t72 () (= @t18 @t31)) % 1.23/1.48 (define @t73 () (not (tptp.s_e @t17 @t18 @t17 @t31))) % 1.23/1.48 (define @t74 () (not (tptp.s_e @t15 @t18 @t15 @t31))) % 1.23/1.48 (define @t75 () (tptp.s_t @t15 @t18 @t17)) % 1.23/1.48 (define @t76 () (tptp.insert @t15 @t17 @t18 @t24)) % 1.23/1.48 (define @t77 () (tptp.ins @t18 @t24 @t15 @t17)) % 1.23/1.48 (define @t78 () (tptp.le @t15 @t17 @t18 @t24)) % 1.23/1.48 (define @t79 () (not @t78)) % 1.23/1.48 (define @t80 () (tptp.le @t18 @t24 @t15 @t17)) % 1.23/1.48 (define @t81 () (tptp.le @t15 @t17 @t15 @t18)) % 1.23/1.48 (define @t82 () (tptp.le @t17 @t18 @t15 @t18)) % 1.23/1.48 (define @t83 () (tptp.sameside @t15 @t19 @t17)) % 1.23/1.48 (define @t84 () (tptp.s_t @t17 @t19 @t18)) % 1.23/1.48 (define @t85 () (not @t84)) % 1.23/1.48 (define @t86 () (= @t18 @t19)) % 1.23/1.48 (define @t87 () (= @t17 @t19)) % 1.23/1.48 (define @t88 () (= @t15 @t19)) % 1.23/1.48 (define @t89 () (@list @t15 @t19 @t17 @t18)) % 1.23/1.48 (define @t90 () (not @t83)) % 1.23/1.48 (define @t91 () (tptp.c63 @t15 @t19 @t17)) % 1.23/1.48 (define @t92 () (or @t90 (not @t87))) % 1.23/1.48 (define @t93 () (not @t88)) % 1.23/1.48 (define @t94 () (or @t90 @t93)) % 1.23/1.48 (define @t95 () (@list @t15 @t19 @t17)) % 1.23/1.48 (define @t96 () (tptp.s_t @t15 @t19 @t17)) % 1.23/1.48 (define @t97 () (tptp.s_col @t15 @t19 @t17)) % 1.23/1.48 (define @t98 () (@list @t15 @t19)) % 1.23/1.48 (define @t99 () (@var "Xr" $$unsorted)) % 1.23/1.48 (define @t100 () (tptp.insert @t17 @t18 @t15 @t99)) % 1.23/1.48 (define @t101 () (= @t99 @t15)) % 1.23/1.48 (define @t102 () (= @t19 @t16)) % 1.23/1.48 (define @t103 () (tptp.s_t @t19 @t15 @t17)) % 1.23/1.48 (define @t104 () (tptp.le @t19 @t15 @t19 @t17)) % 1.23/1.48 (define @t105 () (not @t103)) % 1.23/1.48 (define @t106 () (tptp.sameside @t15 @t19 @t99)) % 1.23/1.48 (define @t107 () (tptp.sameside @t15 @t19 @t16)) % 1.23/1.48 (define @t108 () (tptp.s_col @t15 @t19 @t16)) % 1.23/1.48 (define @t109 () (not (tptp.s_t @t16 @t19 @t99))) % 1.23/1.48 (define @t110 () (= @t19 @t99)) % 1.23/1.48 (define @t111 () (@list @t19 @t16 @t99 @t15)) % 1.23/1.48 (define @t112 () (tptp.s_t @t18 @t15 @t17)) % 1.23/1.48 (define @t113 () (not @t112)) % 1.23/1.48 (define @t114 () (@var "Xcs" $$unsorted)) % 1.23/1.48 (define @t115 () (not (tptp.s_col @t19 @t16 @t99))) % 1.23/1.48 (define @t116 () (@var "Xm" $$unsorted)) % 1.23/1.48 (define @t117 () (tptp.s_m @t15 @t116 @t17)) % 1.23/1.48 (define @t118 () (not @t117)) % 1.23/1.48 (define @t119 () (@list @t15 @t116 @t17)) % 1.23/1.48 (define @t120 () (= @t116 @t15)) % 1.23/1.48 (define @t121 () (tptp.s_m @t15 @t116 @t15)) % 1.23/1.48 (define @t122 () (@list @t15 @t116)) % 1.23/1.48 (define @t123 () (tptp.s @t15 @t19)) % 1.23/1.48 (define @t124 () (not (tptp.s_m @t19 @t15 @t16))) % 1.23/1.48 (define @t125 () (tptp.s @t15 @t16)) % 1.23/1.48 (define @t126 () (= @t19 @t15)) % 1.23/1.48 (define @t127 () (= @t123 @t19)) % 1.23/1.48 (define @t128 () (tptp.s @t15 @t99)) % 1.23/1.48 (define @t129 () (tptp.s_t @t123 @t125 @t128)) % 1.23/1.48 (define @t130 () (tptp.s_t @t19 @t16 @t99)) % 1.23/1.48 (define @t131 () (tptp.s_e @t123 @t125 @t128 (tptp.s @t15 @t114))) % 1.23/1.48 (define @t132 () (tptp.s_e @t19 @t16 @t99 @t114)) % 1.23/1.48 (define @t133 () (@list @t19 @t16 @t99 @t114 @t15)) % 1.23/1.48 (define @t134 () (tptp.s @t17 @t19)) % 1.23/1.48 (define @t135 () (tptp.s_e @t116 @t15 @t116 @t17)) % 1.23/1.48 (define @t136 () (not @t135)) % 1.23/1.48 (define @t137 () (@var "Xa2" $$unsorted)) % 1.23/1.48 (define @t138 () (@var "Xm2" $$unsorted)) % 1.23/1.48 (define @t139 () (@var "Xm1" $$unsorted)) % 1.23/1.48 (define @t140 () (tptp.s_t @t139 @t18 @t138)) % 1.23/1.48 (define @t141 () (@var "Xb2" $$unsorted)) % 1.23/1.48 (define @t142 () (tptp.s_kf @t32 @t139 @t34 @t18 @t141 @t138 @t137)) % 1.23/1.48 (define @t143 () (not @t142)) % 1.23/1.48 (define @t144 () (@list @t32 @t139 @t34 @t18 @t141 @t138 @t137)) % 1.23/1.48 (define @t145 () (tptp.s_m @t137 @t138 @t141)) % 1.23/1.48 (define @t146 () (not @t145)) % 1.23/1.48 (define @t147 () (tptp.s_m @t32 @t139 @t34)) % 1.23/1.48 (define @t148 () (not @t147)) % 1.23/1.48 (define @t149 () (tptp.s_e @t18 @t137 @t18 @t141)) % 1.23/1.48 (define @t150 () (not @t149)) % 1.23/1.48 (define @t151 () (tptp.s_e @t18 @t32 @t18 @t34)) % 1.23/1.48 (define @t152 () (not @t151)) % 1.23/1.48 (define @t153 () (tptp.s_t @t34 @t18 @t141)) % 1.23/1.48 (define @t154 () (not @t153)) % 1.23/1.48 (define @t155 () (tptp.s_t @t32 @t18 @t137)) % 1.23/1.48 (define @t156 () (not @t155)) % 1.23/1.48 (define @t157 () (tptp.s_r @t15 @t17 @t18)) % 1.23/1.48 (define @t158 () (not @t157)) % 1.23/1.48 (define @t159 () (forall @t47 (or @t158 (tptp.s_r @t18 @t17 @t15)))) % 1.23/1.48 (define @t160 () (@var "Zd" $$unsorted)) % 1.23/1.48 (define @t161 () (@var "Zc" $$unsorted)) % 1.23/1.48 (define @t162 () (@var "Zb" $$unsorted)) % 1.23/1.48 (define @t163 () (@var "Za" $$unsorted)) % 1.23/1.48 (define @t164 () (tptp.s_afs @t15 @t17 @t18 @t24 @t163 @t162 @t161 @t160)) % 1.23/1.48 (define @t165 () (tptp.s_e @t17 @t24 @t162 @t160)) % 1.23/1.48 (define @t166 () (tptp.s_e @t15 @t24 @t163 @t160)) % 1.23/1.48 (define @t167 () (not @t166)) % 1.23/1.48 (define @t168 () (tptp.s_e @t17 @t18 @t162 @t161)) % 1.23/1.48 (define @t169 () (not @t168)) % 1.23/1.48 (define @t170 () (tptp.s_e @t15 @t17 @t163 @t162)) % 1.23/1.48 (define @t171 () (tptp.s_t @t163 @t162 @t161)) % 1.23/1.48 (define @t172 () (not @t171)) % 1.23/1.48 (define @t173 () (not @t164)) % 1.23/1.48 (define @t174 () (@list @t15 @t17 @t18 @t24 @t163 @t162 @t161 @t160)) % 1.23/1.48 (define @t175 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t163 @t162 @t161 @t160)) % 1.23/1.48 (define @t176 () (tptp.s_e @t18 @t24 @t161 @t160)) % 1.23/1.48 (define @t177 () (tptp.s_e @t15 @t18 @t163 @t161)) % 1.23/1.48 (define @t178 () (not @t175)) % 1.23/1.48 (define @t179 () (@var "Xb3" $$unsorted)) % 1.23/1.48 (define @t180 () (@var "Xa3" $$unsorted)) % 1.23/1.48 (define @t181 () (tptp.s_e3 @t32 @t137 @t180 @t34 @t141 @t179)) % 1.23/1.48 (define @t182 () (tptp.s_e @t137 @t180 @t141 @t179)) % 1.23/1.48 (define @t183 () (tptp.s_e @t32 @t180 @t34 @t179)) % 1.23/1.48 (define @t184 () (tptp.s_e @t32 @t137 @t34 @t141)) % 1.23/1.48 (define @t185 () (not @t181)) % 1.23/1.48 (define @t186 () (tptp.s_t @t17 @t18 @t15)) % 1.23/1.48 (define @t187 () (tptp.s_e @t15 @t24 @t32 @t60)) % 1.23/1.48 (define @t188 () (tptp.s_t @t19 @t17 @t15)) % 1.23/1.48 (define @t189 () (tptp.s_t @t15 @t116 @t17)) % 1.23/1.48 (define @t190 () (tptp.s_e @t15 @t18 @t15 (tptp.s @t17 @t18))) % 1.23/1.48 (define @t191 () (or @t157 (not @t190))) % 1.23/1.48 (define @t192 () (or @t158 @t190)) % 1.23/1.48 (define @t193 () (forall @t47 (and @t192 @t191))) % 1.23/1.48 (define @t194 () (tptp.g811 @t2 @t7 @t13 @t12 @t1)) % 1.23/1.48 (define @t195 () (tptp.f811 @t2 @t7 @t13 @t12 @t1)) % 1.23/1.48 (define @t196 () (tptp.s_col @t13 @t12 @t1)) % 1.23/1.48 (define @t197 () (not @t196)) % 1.23/1.48 (define @t198 () (tptp.s_col @t2 @t7 @t1)) % 1.23/1.48 (define @t199 () (not @t198)) % 1.23/1.48 (define @t200 () (= @t13 @t12)) % 1.23/1.48 (define @t201 () (= @t2 @t7)) % 1.23/1.48 (define @t202 () (tptp.perpAt @t2 @t7 @t1 @t13 @t12)) % 1.23/1.48 (define @t203 () (@var "U" $$unsorted)) % 1.23/1.48 (define @t204 () (not @t202)) % 1.23/1.48 (define @t205 () (@var "Xq1" $$unsorted)) % 1.23/1.48 (define @t206 () (@var "Xp1" $$unsorted)) % 1.23/1.48 (define @t207 () (tptp.perp @t19 @t16 @t206 @t205)) % 1.23/1.48 (define @t208 () (@quantifiers_skolemize @t159 1)) % 1.23/1.48 (define @t209 () (@quantifiers_skolemize @t159 0)) % 1.23/1.48 (define @t210 () (tptp.s @t208 @t209)) % 1.23/1.48 (define @t211 () (@quantifiers_skolemize @t159 2)) % 1.23/1.48 (define @t212 () (tptp.s_m @t210 @t208 @t209)) % 1.23/1.48 (define @t213 () (tptp.s_m @t209 @t208 @t210)) % 1.23/1.48 (define @t214 () (not @t213)) % 1.23/1.48 (define @t215 () (or @t214 @t212)) % 1.23/1.48 (define @t216 () (@list false false)) % 1.23/1.48 (define @t217 () (= @t209 (tptp.s @t208 @t210))) % 1.23/1.48 (define @t218 () (not @t212)) % 1.23/1.48 (define @t219 () (or @t218 @t217)) % 1.23/1.48 (define @t220 () (tptp.s @t208 @t211)) % 1.23/1.48 (define @t221 () (tptp.s_e @t211 @t210 @t220 @t209)) % 1.23/1.48 (define @t222 () (forall @t47 @t191)) % 1.23/1.48 (define @t223 () (@list @t15 @t17 @t18)) % 1.23/1.48 (define @t224 () (forall @t47 @t192)) % 1.23/1.48 (define @t225 () (and @t224 @t222)) % 1.23/1.48 (define @t226 () (tptp.s_r @t209 @t208 @t211)) % 1.23/1.48 (define @t227 () (tptp.s_r @t211 @t208 @t209)) % 1.23/1.48 (define @t228 () (not @t226)) % 1.23/1.48 (define @t229 () (or @t228 @t227)) % 1.23/1.48 (define @t230 () (@list true)) % 1.23/1.48 (define @t231 () (@list @t229)) % 1.23/1.48 (define @t232 () (tptp.s_e @t209 @t211 @t209 @t220)) % 1.23/1.48 (define @t233 () (or @t228 @t232)) % 1.23/1.48 (define @t234 () (tptp.s_e @t211 @t209 @t220 @t209)) % 1.23/1.48 (define @t235 () (not @t232)) % 1.23/1.48 (define @t236 () (or @t235 @t234)) % 1.23/1.48 (define @t237 () (tptp.s_e @t220 @t209 @t211 @t209)) % 1.23/1.48 (define @t238 () (not @t234)) % 1.23/1.48 (define @t239 () (or @t238 @t237)) % 1.23/1.48 (define @t240 () (tptp.s_e @t211 @t209 @t211 @t210)) % 1.23/1.48 (define @t241 () (not @t240)) % 1.23/1.48 (define @t242 () (or @t227 @t241)) % 1.23/1.48 (define @t243 () (@list true false)) % 1.23/1.48 (define @t244 () (tptp.s_e @t211 @t210 @t211 @t209)) % 1.23/1.48 (define @t245 () (not @t244)) % 1.23/1.48 (define @t246 () (or @t245 @t240)) % 1.23/1.48 (define @t247 () (not @t237)) % 1.23/1.48 (define @t248 () (not @t221)) % 1.23/1.48 (define @t249 () (or @t248 @t247 @t244)) % 1.23/1.48 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 1.23/1.48 (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)))) % 1.23/1.48 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 1.23/1.48 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 1.23/1.48 (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)))) % 1.23/1.48 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 1.23/1.48 (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))))) % 1.23/1.48 (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)))) % 1.23/1.48 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 1.23/1.48 (assume @p10 (forall @t27 (or @t26 (tptp.s_e @t18 @t24 @t15 @t17)))) % 1.23/1.48 (assume @p11 (forall @t30 (or @t26 (not (tptp.s_e @t18 @t24 @t29 @t28)) (tptp.s_e @t15 @t17 @t29 @t28)))) % 1.23/1.48 (assume @p12 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t18 @t24)))) % 1.23/1.48 (assume @p13 (forall @t27 (or @t26 (tptp.s_e @t15 @t17 @t24 @t18)))) % 1.23/1.48 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 1.23/1.48 (assume @p15 (forall @t42 (or @t41 @t39 @t37 @t35 @t33))) % 1.23/1.48 (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))))) % 1.23/1.48 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t43))) % 1.23/1.48 (assume @p18 (forall @t27 (or @t26 (tptp.s_e @t17 @t15 @t24 @t18)))) % 1.23/1.48 (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)))) % 1.23/1.48 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 1.23/1.48 (assume @p21 (forall @t47 (or @t41 (tptp.s_t @t18 @t17 @t15)))) % 1.23/1.48 (assume @p22 (forall (@list @t32 @t34) (tptp.s_t @t32 @t32 @t34))) % 1.23/1.48 (assume @p23 (forall @t47 (or @t41 (not (tptp.s_t @t17 @t15 @t18)) @t48))) % 1.23/1.48 (assume @p24 (forall @t53 (or @t52 @t50 @t40))) % 1.23/1.48 (assume @p25 (forall @t27 (or @t41 @t55 @t49))) % 1.23/1.48 (assume @p26 (forall @t27 (or @t41 @t50 @t43 @t54))) % 1.23/1.48 (assume @p27 (forall @t53 (or @t52 @t50 @t54))) % 1.23/1.48 (assume @p28 (forall @t27 (or @t41 @t55 @t51))) % 1.23/1.48 (assume @p29 (forall @t27 (or @t41 @t50 @t43 @t51))) % 1.23/1.48 (assume @p30 (not (= tptp.alpha tptp.beta))) % 1.23/1.48 (assume @p31 (not (= tptp.beta tptp.gamma))) % 1.23/1.48 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 1.23/1.48 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t56))) % 1.23/1.48 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t56)))) % 1.23/1.48 (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))))) % 1.23/1.48 (assume @p36 (forall @t62 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t32 @t34 @t31 @t60)) @t61))) % 1.23/1.48 (assume @p37 (forall @t42 (or @t41 @t39 @t63 @t35 @t36))) % 1.23/1.48 (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))))) % 1.23/1.48 (assume @p39 (forall @t42 (or @t41 @t66 @t38))) % 1.23/1.48 (assume @p40 (forall @t47 (or @t68 (tptp.s_col @t17 @t18 @t15)))) % 1.23/1.48 (assume @p41 (forall @t47 (or @t68 (tptp.s_col @t18 @t15 @t17)))) % 1.23/1.48 (assume @p42 (forall @t47 (or @t68 (tptp.s_col @t18 @t17 @t15)))) % 1.23/1.48 (assume @p43 (forall @t47 (or @t68 (tptp.s_col @t17 @t15 @t18)))) % 1.23/1.48 (assume @p44 (forall @t47 (or @t68 (tptp.s_col @t15 @t18 @t17)))) % 1.23/1.48 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 1.23/1.48 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 1.23/1.48 (assume @p47 (forall @t42 (or @t68 @t66 (tptp.s_col @t32 @t34 @t31)))) % 1.23/1.48 (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))))) % 1.23/1.48 (assume @p49 (forall @t62 (or @t71 @t48 @t69))) % 1.23/1.48 (assume @p50 (forall (@list @t15 @t17 @t18 @t19 @t16) (or @t48 @t68 (not (tptp.s_e @t15 @t19 @t15 @t16)) (not (tptp.s_e @t17 @t19 @t17 @t16)) (tptp.s_e @t18 @t19 @t18 @t16)))) % 1.23/1.48 (assume @p51 (forall (@list @t15 @t17 @t18 @t31) (or @t48 @t68 @t74 @t73 @t72))) % 1.23/1.48 (assume @p52 (forall (@list @t15 @t18 @t17 @t31) (or (not @t75) @t74 @t73 @t72))) % 1.23/1.48 (assume @p53 (forall @t27 (or @t48 @t41 @t52 @t54 (tptp.s_t @t15 @t24 @t18)))) % 1.23/1.48 (assume @p54 (forall @t27 (or @t48 @t41 @t52 @t49 (tptp.s_t @t17 @t24 @t18)))) % 1.23/1.48 (assume @p55 (forall @t53 (or @t52 @t55 @t40 @t75))) % 1.23/1.48 (assume @p56 (forall @t27 (and (or @t79 (tptp.s_t @t15 @t17 @t77)) (or @t79 (tptp.s_e @t15 @t77 @t18 @t24)) (or @t79 (= @t77 (tptp.ext @t15 @t17 @t76 @t24)))))) % 1.23/1.48 (assume @p57 (forall (@list @t15 @t17 @t18 @t24 @t29) (or @t78 (not (tptp.s_t @t15 @t17 @t29)) (not (tptp.s_e @t15 @t29 @t18 @t24))))) % 1.23/1.48 (assume @p58 (forall @t62 (or @t79 @t37 (not @t69) (tptp.le @t32 @t34 @t31 @t60)))) % 1.23/1.48 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 1.23/1.48 (assume @p60 (forall @t30 (or @t79 (not (tptp.le @t18 @t24 @t29 @t28)) (tptp.le @t15 @t17 @t29 @t28)))) % 1.23/1.48 (assume @p61 (forall @t27 (or @t79 (not @t80) @t25))) % 1.23/1.48 (assume @p62 (forall @t27 (or @t78 @t80))) % 1.23/1.48 (assume @p63 (forall (@list @t15 @t18 @t24) (tptp.le @t15 @t15 @t18 @t24))) % 1.23/1.48 (assume @p64 (forall @t47 (or @t68 @t41 @t81))) % 1.23/1.48 (assume @p65 (forall @t47 (or @t68 @t41 @t82))) % 1.23/1.48 (assume @p66 (forall @t47 (or @t41 (not (tptp.s_e @t15 @t18 @t15 @t17)) (= @t18 @t17)))) % 1.23/1.48 (assume @p67 (forall @t47 (or @t68 @t40 (not @t81) (not @t82)))) % 1.23/1.48 (assume @p68 (forall @t89 (or @t88 @t87 @t86 @t22 @t85 @t83))) % 1.23/1.48 (assume @p69 (forall @t89 (or @t88 @t87 @t86 @t22 @t84 @t90))) % 1.23/1.48 (assume @p70 (forall @t95 (and @t94 @t92 (or @t90 (not (= @t91 @t19))) (or @t90 (tptp.s_t @t15 @t19 @t91)) (or @t90 (tptp.s_t @t17 @t19 @t91))))) % 1.23/1.48 (assume @p71 (forall @t89 (or @t83 @t88 @t87 @t86 @t22 @t85))) % 1.23/1.48 (assume @p72 (forall @t95 (and (or @t90 @t97) (or @t90 (not @t96))))) % 1.23/1.48 (assume @p73 (forall @t95 (or @t83 (not @t97) @t96))) % 1.23/1.48 (assume @p74 (forall @t98 (or @t88 (tptp.sameside @t15 @t19 @t15)))) % 1.23/1.48 (assume @p75 (forall @t95 (or @t90 (tptp.sameside @t17 @t19 @t15)))) % 1.23/1.48 (assume @p76 (forall @t89 (or @t90 (not (tptp.sameside @t17 @t19 @t18)) (tptp.sameside @t15 @t19 @t18)))) % 1.23/1.48 (assume @p77 (forall (@list @t99 @t15 @t17 @t18) (and (or @t101 @t43 (tptp.sameside @t100 @t15 @t99)) (or @t101 @t43 (tptp.s_e @t15 @t100 @t17 @t18))))) % 1.23/1.48 (assume @p78 (forall (@list @t99 @t15 @t17 @t18 @t19 @t16) (or @t101 @t43 (not (tptp.sameside @t19 @t15 @t99)) (not (tptp.s_e @t15 @t19 @t17 @t18)) (not (tptp.sameside @t16 @t15 @t99)) (not (tptp.s_e @t15 @t16 @t17 @t18)) @t102))) % 1.23/1.48 (assume @p79 (forall @t95 (or @t90 (not @t104) @t103))) % 1.23/1.48 (assume @p80 (forall @t95 (or @t90 @t104 @t105))) % 1.23/1.48 (assume @p81 (forall @t111 (or @t102 @t110 @t109 (not @t108) @t88 @t107 @t106))) % 1.23/1.48 (assume @p82 (forall @t111 (or @t102 @t110 @t109 (not @t107) @t108))) % 1.23/1.48 (assume @p83 (forall @t111 (or @t102 @t110 @t109 (not @t106) @t108))) % 1.23/1.48 (assume @p84 (forall @t111 (or @t102 @t110 @t109 @t93 @t108))) % 1.23/1.48 (assume @p85 (forall @t27 (or @t48 @t113 (not (tptp.s_t @t24 @t15 @t17)) (tptp.s_t @t24 @t18 @t17) (tptp.s_t @t18 @t24 @t17)))) % 1.23/1.48 (assume @p86 (forall (@list @t19 @t16 @t114 @t99) (or @t102 (= @t114 @t19) (not (tptp.s_col @t19 @t16 @t114)) @t115 (tptp.s_col @t19 @t114 @t99)))) % 1.23/1.48 (assume @p87 (forall (@list @t19 @t16) (or @t102 (tptp.s_col @t19 @t16 @t19)))) % 1.23/1.48 (assume @p88 (forall (@list @t19 @t16 @t99) (or @t102 @t115 (tptp.s_col @t16 @t19 @t99)))) % 1.23/1.48 (assume @p89 (forall (@list @t15 @t17 @t19 @t16 @t99) (or @t48 @t102 (not (tptp.s_col @t19 @t16 @t15)) (not (tptp.s_col @t19 @t16 @t17)) @t115 (tptp.s_col @t15 @t17 @t99)))) % 1.23/1.48 (assume @p90 (forall (@list @t15 @t17 @t19 @t16 @t18 @t24 @t29) (or @t48 @t102 @t68 (not (tptp.s_col @t19 @t16 @t18)) (not (tptp.s_col @t15 @t17 @t24)) (not (tptp.s_col @t19 @t16 @t24)) (= @t18 @t24) (not (tptp.s_col @t15 @t17 @t29)) (tptp.s_col @t19 @t16 @t29)))) % 1.23/1.48 (assume @p91 (forall @t23 (or @t48 (not (tptp.s_col @t15 @t17 (tptp.pointOffLine @t15 @t17)))))) % 1.23/1.48 (assume @p92 (forall @t42 (or (not (tptp.sameside @t15 @t17 @t18)) (not (tptp.sameside @t32 @t34 @t31)) (not (tptp.s_e @t17 @t15 @t34 @t32)) @t35 @t33))) % 1.23/1.48 (assume @p93 (forall @t119 (or @t118 (tptp.s_m @t17 @t116 @t15)))) % 1.23/1.48 (assume @p94 (forall @t122 (or (not @t121) @t120))) % 1.23/1.48 (assume @p95 (forall @t122 (or @t121 (not @t120)))) % 1.23/1.48 (assume @p96 (forall (@list @t19 @t15) (tptp.s_m @t19 @t15 @t123))) % 1.23/1.48 (assume @p97 (forall (@list @t19 @t15 @t99 @t16) (or (not (tptp.s_m @t19 @t15 @t99)) @t124 (= @t99 @t16)))) % 1.23/1.48 (assume @p98 (forall (@list @t19 @t15 @t16) (or @t124 (= @t16 @t123)))) % 1.23/1.48 (assume @p99 (forall @t98 (= (tptp.s @t15 @t123) @t19))) % 1.23/1.48 (assume @p100 (forall (@list @t15 @t19 @t99 @t16) (or (not (= @t123 @t99)) (not (= @t125 @t99)) @t102))) % 1.23/1.48 (assume @p101 (forall (@list @t15 @t19 @t16) (or (not (= @t123 @t125)) @t102))) % 1.23/1.48 (assume @p102 (forall @t98 (or (not @t127) @t126))) % 1.23/1.48 (assume @p103 (forall @t98 (or @t127 (not @t126)))) % 1.23/1.48 (assume @p104 (forall (@list @t19 @t16 @t15) (tptp.s_e @t19 @t16 @t123 @t125))) % 1.23/1.48 (assume @p105 (forall @t111 (or (not @t130) @t129))) % 1.23/1.48 (assume @p106 (forall @t111 (or @t130 (not @t129)))) % 1.23/1.48 (assume @p107 (forall @t133 (or (not @t132) @t131))) % 1.23/1.48 (assume @p108 (forall @t133 (or @t132 (not @t131)))) % 1.23/1.48 (assume @p109 (forall (@list @t19 @t15 @t16 @t17) (or @t124 (not (tptp.s_m @t19 @t17 @t16)) @t48))) % 1.23/1.48 (assume @p110 (forall @t95 (or (not (= @t123 @t134)) @t48))) % 1.23/1.48 (assume @p111 (forall (@list @t15 @t17 @t19) (or (not (= (tptp.s @t15 @t134) (tptp.s @t17 @t123))) @t48))) % 1.23/1.48 (assume @p112 (forall @t119 (or (not (tptp.s_col @t15 @t116 @t17)) @t136 @t48 @t117))) % 1.23/1.48 (assume @p113 (forall (@list @t15 @t17 @t18 @t24 @t19) (or @t67 (= @t17 @t24) @t26 (not (tptp.s_e @t17 @t18 @t24 @t15)) (not (tptp.s_col @t15 @t19 @t18)) (not (tptp.s_col @t17 @t19 @t24)) (tptp.s_m @t15 @t19 @t18)))) % 1.23/1.48 (assume @p114 (forall @t144 (or @t143 @t140 (not (tptp.le @t18 @t32 @t18 @t137))))) % 1.23/1.48 (assume @p115 (forall @t144 (or @t143 @t140))) % 1.23/1.48 (assume @p116 (forall (@list @t32 @t18 @t137 @t34 @t141 @t139 @t138) (or @t156 @t154 @t152 @t150 @t148 @t146 @t140))) % 1.23/1.48 (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)))) % 1.23/1.48 (assume @p118 (not @t159)) % 1.23/1.48 (assume @p119 (forall (@list @t15 @t17 @t32 @t31) (= @t64 (tptp.ext (tptp.ext @t31 @t32 tptp.alpha tptp.gamma) @t32 @t15 @t17)))) % 1.23/1.48 (assume @p120 (forall @t174 (and (or @t173 @t40) (or @t173 @t171) (or @t173 @t170) (or @t173 @t168) (or @t173 @t166) (or @t173 @t165) (or @t41 @t172 (not @t170) @t169 @t167 (not @t165) @t164)))) % 1.23/1.48 (assume @p121 (forall @t174 (and (or @t178 @t40) (or @t178 @t171) (or @t178 @t177) (or @t178 @t168) (or @t178 @t166) (or @t178 @t176) (or @t41 @t172 (not @t177) @t169 @t167 (not @t176) @t175)))) % 1.23/1.48 (assume @p122 (forall (@list @t32 @t137 @t180 @t34 @t141 @t179) (and (or @t185 @t184) (or @t185 @t183) (or @t185 @t182) (or (not @t184) (not @t183) (not @t182) @t181)))) % 1.23/1.48 (assume @p123 (forall @t47 (and (or @t68 @t40 @t186 @t112) (or @t67 @t41) (or @t67 (not @t186)) (or @t67 @t113)))) % 1.23/1.48 (assume @p124 (forall @t62 (and (or @t71 @t67) (or @t71 @t65) (or @t71 @t187) (or @t71 @t61) (or @t68 @t66 (not @t187) (not @t61) @t70)))) % 1.23/1.48 (assume @p125 (forall (@list @t15 @t17 @t18 @t24 @t2) (and (or @t79 (tptp.s_t @t18 @t76 @t24)) (or @t79 (tptp.s_e @t15 @t17 @t18 @t76)) (or (not (tptp.s_t @t18 @t2 @t24)) (not (tptp.s_e @t15 @t17 @t18 @t2)) @t78)))) % 1.23/1.48 (assume @p126 (forall @t95 (and @t94 @t92 (or @t90 @t103 @t188) (or @t105 @t88 (= tptp.xb @t19) @t83) (or (not @t188) @t88 @t87 @t83)))) % 1.23/1.48 (assume @p127 (forall @t119 (and (or @t118 @t189) (or @t118 @t135) (or (not @t189) @t136 @t117)))) % 1.23/1.48 (assume @p128 (forall @t144 (and (or @t143 @t155) (or @t143 @t153) (or @t143 @t151) (or @t143 @t149) (or @t143 @t147) (or @t143 @t145) (or @t156 @t154 @t152 @t150 @t148 @t146 @t142)))) % 1.23/1.48 (assume @p129 @t193) % 1.23/1.48 (assume @p130 (forall (@list @t2 @t7 @t1 @t13 @t12 @t203 @t6) (and (or @t204 @t198) (or @t204 @t196) (or @t204 (not @t201)) (or @t204 (not @t200)) (or @t204 (not (tptp.s_col @t2 @t7 @t203)) (not (tptp.s_col @t13 @t12 @t6)) (tptp.s_r @t203 @t1 @t6)) (or @t202 @t201 @t200 @t199 @t197 (tptp.s_col @t2 @t7 @t195)) (or @t202 @t201 @t200 @t199 @t197 (tptp.s_col @t13 @t12 @t194)) (or @t202 @t201 @t200 @t199 @t197 (not (tptp.s_r @t195 @t1 @t194)))))) % 1.23/1.48 (assume @p131 (forall (@list @t19 @t16 @t206 @t205 @t1) (and (or (not @t207) (tptp.perpAt @t19 @t16 (tptp.il @t19 @t16 @t206 @t205) @t206 @t205)) (or @t207 (not (tptp.perpAt @t19 @t16 @t1 @t206 @t205)))))) % 1.23/1.48 (assume @p132 true) % 1.23/1.48 (step @p133 :rule evaluate :args ((= false true))) % 1.23/1.48 (step @p134 :rule instantiate :premises (@p104) :args ((@list @t211 @t210 @t208))) % 1.23/1.48 (step @p135 :rule true_intro :premises (@p134)) % 1.23/1.48 (step @p136 :rule instantiate :premises (@p98) :args ((@list @t210 @t208 @t209))) % 1.23/1.48 (step @p137 :rule instantiate :premises (@p93) :args ((@list @t209 @t208 @t210))) % 1.23/1.48 (step @p138 :rule instantiate :premises (@p96) :args ((@list @t209 @t208))) % 1.23/1.48 (step @p139 :rule cnf_or_pos :args (@t215)) % 1.23/1.48 (step @p140 :rule reordering :premises (@p139) :args ((or @t214 @t212 (not @t215)))) % 1.23/1.48 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137) :args (@t212 @t216 (@list @t213 @t215))) % 1.23/1.48 (step @p142 :rule cnf_or_pos :args (@t219)) % 1.23/1.48 (step @p143 :rule reordering :premises (@p142) :args ((or @t218 @t217 (not @t219)))) % 1.23/1.48 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p136) :args (@t217 @t216 (@list @t212 @t219))) % 1.23/1.48 (step @p145 :rule refl :args (@t220)) % 1.23/1.48 (step @p146 :rule refl :args (@t210)) % 1.23/1.48 (step @p147 :rule refl :args (@t211)) % 1.23/1.48 (step @p148 :rule cong :premises (@p147 @p146 @p145 @p144) :args (@t221)) % 1.23/1.48 (step @p149 :rule instantiate :premises (@p11) :args ((@list @t211 @t210 @t220 @t209 @t211 @t209))) % 1.23/1.48 (step @p150 :rule instantiate :premises (@p10) :args ((@list @t211 @t209 @t220 @t209))) % 1.23/1.48 (step @p151 :rule instantiate :premises (@p18) :args ((@list @t209 @t211 @t209 @t220))) % 1.23/1.48 (step @p152 :rule alpha_equiv :args (@t222 @t223 (@list (@var "BOUND_VARIABLE_9685" $$unsorted) (@var "BOUND_VARIABLE_9687" $$unsorted) (@var "BOUND_VARIABLE_9689" $$unsorted)))) % 1.23/1.48 (step @p153 :rule alpha_equiv :args (@t224 @t223 (@list (@var "BOUND_VARIABLE_9672" $$unsorted) (@var "BOUND_VARIABLE_9674" $$unsorted) (@var "BOUND_VARIABLE_9676" $$unsorted)))) % 1.23/1.48 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t225)) % 1.23/1.48 (step @p155 :rule quant-miniscope-and :args ((= @t193 @t225))) % 1.23/1.48 (step @p156 :rule trans :premises (@p155 @p154)) % 1.23/1.48 (step @p157 :rule eq_resolve :premises (@p129 @p156)) % 1.23/1.48 (step @p158 :rule and_elim :premises (@p157) :args (0)) % 1.23/1.48 (step @p159 :rule instantiate :premises (@p158) :args ((@list @t209 @t208 @t211))) % 1.23/1.48 (step @p160 :rule skolemize :premises (@p118)) % 1.23/1.48 (step @p161 :rule bool-double-not-elim :args (@t226)) % 1.23/1.48 (step @p162 :rule refl :args (@t229)) % 1.23/1.48 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t229 (not @t228)))) % 1.23/1.48 (step @p164 :rule cnf_or_neg :args (@t229 0)) % 1.23/1.48 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 1.23/1.48 (step @p166 :rule reordering :premises (@p165) :args ((or @t226 @t229))) % 1.23/1.48 (step @p167 :rule chain_m_resolution :premises (@p166 @p160) :args (@t226 @t230 @t231)) % 1.23/1.48 (step @p168 :rule cnf_or_pos :args (@t233)) % 1.23/1.48 (step @p169 :rule reordering :premises (@p168) :args ((or @t228 @t232 (not @t233)))) % 1.23/1.48 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p159) :args (@t232 @t216 (@list @t226 @t233))) % 1.23/1.48 (step @p171 :rule cnf_or_pos :args (@t236)) % 1.23/1.48 (step @p172 :rule reordering :premises (@p171) :args ((or @t235 @t234 (not @t236)))) % 1.23/1.48 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p151) :args (@t234 @t216 (@list @t232 @t236))) % 1.23/1.48 (step @p174 :rule cnf_or_pos :args (@t239)) % 1.23/1.48 (step @p175 :rule reordering :premises (@p174) :args ((or @t238 @t237 (not @t239)))) % 1.23/1.48 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p150) :args (@t237 @t216 (@list @t234 @t239))) % 1.23/1.48 (step @p177 :rule instantiate :premises (@p10) :args ((@list @t211 @t210 @t211 @t209))) % 1.23/1.48 (step @p178 :rule and_elim :premises (@p157) :args (1)) % 1.23/1.48 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t211 @t208 @t209))) % 1.23/1.48 (step @p180 :rule cnf_or_neg :args (@t229 1)) % 1.23/1.48 (step @p181 :rule chain_m_resolution :premises (@p180 @p160) :args ((not @t227) @t230 @t231)) % 1.23/1.48 (step @p182 :rule cnf_or_pos :args (@t242)) % 1.23/1.48 (step @p183 :rule reordering :premises (@p182) :args ((or @t227 @t241 (not @t242)))) % 1.23/1.48 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p179) :args (@t241 @t243 (@list @t227 @t242))) % 1.23/1.48 (step @p185 :rule cnf_or_pos :args (@t246)) % 1.23/1.48 (step @p186 :rule reordering :premises (@p185) :args ((or @t240 @t245 (not @t246)))) % 1.23/1.48 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p177) :args (@t245 @t243 (@list @t240 @t246))) % 1.23/1.48 (step @p188 :rule cnf_or_pos :args (@t249)) % 1.23/1.48 (step @p189 :rule reordering :premises (@p188) :args ((or @t244 @t247 @t248 (not @t249)))) % 1.23/1.48 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p176 @p149) :args (@t248 (@list true false false) (@list @t244 @t237 @t249))) % 1.23/1.48 (step @p191 :rule false_intro :premises (@p190)) % 1.23/1.48 (step @p192 :rule symm :premises (@p191)) % 1.23/1.48 (step @p193 :rule trans :premises (@p192 @p148 @p135)) % 1.23/1.48 (step @p194 false :rule eq_resolve :premises (@p193 @p133)) % 1.23/1.48 ) % 1.23/1.48 % SZS output end Proof % 1.23/1.49 % cvc5 exiting %------------------------------------------------------------------------------