%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO497+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:17:18 AM UTC 2026 % Result : Theorem 3.85s 4.11s % Output : Proof 3.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO497+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 23:55:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 3.85/4.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.85/4.11 % SZS status Theorem % 3.85/4.11 % SZS output start Proof % 3.85/4.11 ( % 3.85/4.11 (declare-sort $$unsorted 0) % 3.85/4.11 (declare-const tptp.c63 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.sameside (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.beta $$unsorted) % 3.85/4.11 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.85/4.11 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.alpha $$unsorted) % 3.85/4.11 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.xb $$unsorted) % 3.85/4.11 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.11 (declare-const tptp.gamma $$unsorted) % 3.85/4.11 (define @t1 () (@var "X" $$unsorted)) % 3.85/4.11 (define @t2 () (@var "Y" $$unsorted)) % 3.85/4.11 (define @t3 () (@list @t1 @t2)) % 3.85/4.11 (define @t4 () (@var "V2" $$unsorted)) % 3.85/4.11 (define @t5 () (@var "Z2" $$unsorted)) % 3.85/4.11 (define @t6 () (@var "V" $$unsorted)) % 3.85/4.11 (define @t7 () (@var "Z" $$unsorted)) % 3.85/4.11 (define @t8 () (= @t1 @t2)) % 3.85/4.11 (define @t9 () (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 3.85/4.11 (define @t10 () (@var "W" $$unsorted)) % 3.85/4.11 (define @t11 () (tptp.ext @t1 @t2 @t10 @t6)) % 3.85/4.11 (define @t12 () (tptp.s_e @t2 @t11 @t10 @t6)) % 3.85/4.11 (define @t13 () (tptp.s_t @t1 @t2 @t11)) % 3.85/4.11 (define @t14 () (@list @t1 @t2 @t10 @t6)) % 3.85/4.11 (define @t15 () (forall @t14 (and @t13 @t12))) % 3.85/4.11 (define @t16 () (@var "V1" $$unsorted)) % 3.85/4.11 (define @t17 () (@var "Z1" $$unsorted)) % 3.85/4.11 (define @t18 () (@var "Y1" $$unsorted)) % 3.85/4.11 (define @t19 () (@var "X1" $$unsorted)) % 3.85/4.11 (define @t20 () (@var "Xa" $$unsorted)) % 3.85/4.11 (define @t21 () (@var "Xq" $$unsorted)) % 3.85/4.11 (define @t22 () (@var "Xb" $$unsorted)) % 3.85/4.11 (define @t23 () (@var "Xc" $$unsorted)) % 3.85/4.11 (define @t24 () (@var "Xp" $$unsorted)) % 3.85/4.11 (define @t25 () (tptp.ip @t20 @t24 @t23 @t22 @t21)) % 3.85/4.11 (define @t26 () (not (tptp.s_t @t22 @t21 @t23))) % 3.85/4.11 (define @t27 () (not (tptp.s_t @t20 @t24 @t23))) % 3.85/4.11 (define @t28 () (@list @t20 @t22)) % 3.85/4.11 (define @t29 () (@var "Xd" $$unsorted)) % 3.85/4.11 (define @t30 () (tptp.s_e @t20 @t22 @t23 @t29)) % 3.85/4.11 (define @t31 () (not @t30)) % 3.85/4.11 (define @t32 () (@list @t20 @t22 @t23 @t29)) % 3.85/4.11 (define @t33 () (@var "Xf" $$unsorted)) % 3.85/4.11 (define @t34 () (@var "Xe" $$unsorted)) % 3.85/4.11 (define @t35 () (@list @t20 @t22 @t23 @t29 @t34 @t33)) % 3.85/4.11 (define @t36 () (@var "Xc1" $$unsorted)) % 3.85/4.11 (define @t37 () (@var "Xa1" $$unsorted)) % 3.85/4.11 (define @t38 () (tptp.s_e @t20 @t23 @t37 @t36)) % 3.85/4.11 (define @t39 () (@var "Xb1" $$unsorted)) % 3.85/4.11 (define @t40 () (not (tptp.s_e @t22 @t23 @t39 @t36))) % 3.85/4.11 (define @t41 () (tptp.s_e @t20 @t22 @t37 @t39)) % 3.85/4.11 (define @t42 () (not @t41)) % 3.85/4.11 (define @t43 () (tptp.s_t @t37 @t39 @t36)) % 3.85/4.11 (define @t44 () (not @t43)) % 3.85/4.11 (define @t45 () (tptp.s_t @t20 @t22 @t23)) % 3.85/4.11 (define @t46 () (not @t45)) % 3.85/4.11 (define @t47 () (@list @t20 @t22 @t23 @t37 @t39 @t36)) % 3.85/4.11 (define @t48 () (= @t22 @t23)) % 3.85/4.11 (define @t49 () (@var "XC" $$unsorted)) % 3.85/4.11 (define @t50 () (@var "XA" $$unsorted)) % 3.85/4.11 (define @t51 () (@var "XB" $$unsorted)) % 3.85/4.11 (define @t52 () (@list @t20 @t22 @t23)) % 3.85/4.11 (define @t53 () (= @t20 @t22)) % 3.85/4.11 (define @t54 () (tptp.s_t @t22 @t23 @t29)) % 3.85/4.11 (define @t55 () (not @t54)) % 3.85/4.11 (define @t56 () (tptp.s_t @t20 @t22 @t29)) % 3.85/4.11 (define @t57 () (not @t56)) % 3.85/4.11 (define @t58 () (@list @t20 @t22 @t29 @t23)) % 3.85/4.11 (define @t59 () (tptp.s_t @t20 @t23 @t29)) % 3.85/4.11 (define @t60 () (not @t59)) % 3.85/4.11 (define @t61 () (tptp.ext @t20 @t22 tptp.alpha tptp.gamma)) % 3.85/4.11 (define @t62 () (tptp.crossbar @t20 @t22 @t23 @t37 @t39 @t24)) % 3.85/4.11 (define @t63 () (not (tptp.s_t @t20 @t24 @t37))) % 3.85/4.11 (define @t64 () (not (tptp.s_t @t37 @t39 @t23))) % 3.85/4.11 (define @t65 () (@var "Xd1" $$unsorted)) % 3.85/4.11 (define @t66 () (tptp.s_e @t22 @t29 @t39 @t65)) % 3.85/4.11 (define @t67 () (@list @t20 @t22 @t23 @t29 @t37 @t39 @t36 @t65)) % 3.85/4.11 (define @t68 () (not @t38)) % 3.85/4.11 (define @t69 () (tptp.insert @t20 @t22 @t37 @t36)) % 3.85/4.11 (define @t70 () (tptp.s_e3 @t20 @t22 @t23 @t37 @t39 @t36)) % 3.85/4.11 (define @t71 () (not @t70)) % 3.85/4.11 (define @t72 () (tptp.s_col @t20 @t22 @t23)) % 3.85/4.11 (define @t73 () (not @t72)) % 3.85/4.11 (define @t74 () (tptp.s_e @t23 @t29 @t36 @t65)) % 3.85/4.11 (define @t75 () (tptp.s_fs @t20 @t22 @t23 @t29 @t37 @t39 @t36 @t65)) % 3.85/4.11 (define @t76 () (not @t75)) % 3.85/4.11 (define @t77 () (= @t23 @t36)) % 3.85/4.11 (define @t78 () (not (tptp.s_e @t22 @t23 @t22 @t36))) % 3.85/4.11 (define @t79 () (not (tptp.s_e @t20 @t23 @t20 @t36))) % 3.85/4.11 (define @t80 () (tptp.s_t @t20 @t23 @t22)) % 3.85/4.11 (define @t81 () (tptp.insert @t20 @t22 @t23 @t29)) % 3.85/4.11 (define @t82 () (tptp.ins @t23 @t29 @t20 @t22)) % 3.85/4.11 (define @t83 () (tptp.le @t20 @t22 @t23 @t29)) % 3.85/4.11 (define @t84 () (not @t83)) % 3.85/4.11 (define @t85 () (tptp.le @t23 @t29 @t20 @t22)) % 3.85/4.11 (define @t86 () (tptp.le @t20 @t22 @t20 @t23)) % 3.85/4.11 (define @t87 () (tptp.le @t22 @t23 @t20 @t23)) % 3.85/4.11 (define @t88 () (= @t23 @t22)) % 3.85/4.11 (define @t89 () (tptp.sameside @t20 @t24 @t22)) % 3.85/4.11 (define @t90 () (tptp.s_t @t22 @t24 @t23)) % 3.85/4.11 (define @t91 () (not @t90)) % 3.85/4.11 (define @t92 () (= @t23 @t24)) % 3.85/4.11 (define @t93 () (= @t22 @t24)) % 3.85/4.11 (define @t94 () (= @t20 @t24)) % 3.85/4.11 (define @t95 () (or @t94 @t93 @t92 @t27 @t91 @t89)) % 3.85/4.11 (define @t96 () (@list @t20 @t24 @t22 @t23)) % 3.85/4.11 (define @t97 () (forall @t96 @t95)) % 3.85/4.11 (define @t98 () (not @t89)) % 3.85/4.11 (define @t99 () (tptp.c63 @t20 @t24 @t22)) % 3.85/4.11 (define @t100 () (or @t98 (not @t93))) % 3.85/4.11 (define @t101 () (or @t98 (not @t94))) % 3.85/4.11 (define @t102 () (@list @t20 @t24 @t22)) % 3.85/4.11 (define @t103 () (tptp.s_t @t20 @t24 @t22)) % 3.85/4.11 (define @t104 () (tptp.s_col @t20 @t24 @t22)) % 3.85/4.11 (define @t105 () (@var "Xr" $$unsorted)) % 3.85/4.11 (define @t106 () (tptp.insert @t22 @t23 @t20 @t105)) % 3.85/4.11 (define @t107 () (tptp.s_e @t20 @t106 @t22 @t23)) % 3.85/4.11 (define @t108 () (= @t105 @t20)) % 3.85/4.11 (define @t109 () (or @t108 @t48 @t107)) % 3.85/4.11 (define @t110 () (tptp.sameside @t106 @t20 @t105)) % 3.85/4.11 (define @t111 () (or @t108 @t48 @t110)) % 3.85/4.11 (define @t112 () (and @t111 @t109)) % 3.85/4.11 (define @t113 () (@list @t105 @t20 @t22 @t23)) % 3.85/4.11 (define @t114 () (forall @t113 @t112)) % 3.85/4.11 (define @t115 () (not @t114)) % 3.85/4.11 (define @t116 () (@var "Zd" $$unsorted)) % 3.85/4.11 (define @t117 () (@var "Zc" $$unsorted)) % 3.85/4.11 (define @t118 () (@var "Zb" $$unsorted)) % 3.85/4.11 (define @t119 () (@var "Za" $$unsorted)) % 3.85/4.11 (define @t120 () (tptp.s_afs @t20 @t22 @t23 @t29 @t119 @t118 @t117 @t116)) % 3.85/4.11 (define @t121 () (tptp.s_e @t22 @t29 @t118 @t116)) % 3.85/4.11 (define @t122 () (tptp.s_e @t20 @t29 @t119 @t116)) % 3.85/4.11 (define @t123 () (not @t122)) % 3.85/4.11 (define @t124 () (tptp.s_e @t22 @t23 @t118 @t117)) % 3.85/4.11 (define @t125 () (not @t124)) % 3.85/4.11 (define @t126 () (tptp.s_e @t20 @t22 @t119 @t118)) % 3.85/4.11 (define @t127 () (tptp.s_t @t119 @t118 @t117)) % 3.85/4.11 (define @t128 () (not @t127)) % 3.85/4.11 (define @t129 () (not @t120)) % 3.85/4.11 (define @t130 () (@list @t20 @t22 @t23 @t29 @t119 @t118 @t117 @t116)) % 3.85/4.11 (define @t131 () (tptp.s_ifs @t20 @t22 @t23 @t29 @t119 @t118 @t117 @t116)) % 3.85/4.11 (define @t132 () (tptp.s_e @t23 @t29 @t117 @t116)) % 3.85/4.11 (define @t133 () (tptp.s_e @t20 @t23 @t119 @t117)) % 3.85/4.11 (define @t134 () (not @t131)) % 3.85/4.11 (define @t135 () (@var "Xb3" $$unsorted)) % 3.85/4.11 (define @t136 () (@var "Xb2" $$unsorted)) % 3.85/4.11 (define @t137 () (@var "Xa3" $$unsorted)) % 3.85/4.11 (define @t138 () (@var "Xa2" $$unsorted)) % 3.85/4.11 (define @t139 () (tptp.s_e3 @t37 @t138 @t137 @t39 @t136 @t135)) % 3.85/4.11 (define @t140 () (tptp.s_e @t138 @t137 @t136 @t135)) % 3.85/4.11 (define @t141 () (tptp.s_e @t37 @t137 @t39 @t135)) % 3.85/4.11 (define @t142 () (tptp.s_e @t37 @t138 @t39 @t136)) % 3.85/4.11 (define @t143 () (not @t139)) % 3.85/4.11 (define @t144 () (tptp.s_t @t23 @t20 @t22)) % 3.85/4.11 (define @t145 () (tptp.s_t @t22 @t23 @t20)) % 3.85/4.11 (define @t146 () (tptp.s_e @t20 @t29 @t37 @t65)) % 3.85/4.11 (define @t147 () (tptp.s_t @t24 @t22 @t20)) % 3.85/4.11 (define @t148 () (tptp.s_t @t24 @t20 @t22)) % 3.85/4.11 (define @t149 () (@var "BOUND_VARIABLE_8308" $$unsorted)) % 3.85/4.11 (define @t150 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 3.85/4.11 (define @t151 () (@var "BOUND_VARIABLE_8314" $$unsorted)) % 3.85/4.11 (define @t152 () (@var "BOUND_VARIABLE_8312" $$unsorted)) % 3.85/4.11 (define @t153 () (tptp.sameside (tptp.insert @t152 @t151 @t150 @t149) @t150 @t149)) % 3.85/4.11 (define @t154 () (@list @t149 @t150 @t152 @t151)) % 3.85/4.11 (define @t155 () (forall @t154 (or (= @t149 @t150) (= @t152 @t151) @t153))) % 3.85/4.11 (define @t156 () (@quantifiers_skolemize @t155 0)) % 3.85/4.11 (define @t157 () (@quantifiers_skolemize @t155 1)) % 3.85/4.11 (define @t158 () (@quantifiers_skolemize @t155 3)) % 3.85/4.11 (define @t159 () (@quantifiers_skolemize @t155 2)) % 3.85/4.11 (define @t160 () (tptp.ext @t156 @t157 tptp.alpha tptp.gamma)) % 3.85/4.11 (define @t161 () (tptp.ext @t160 @t157 @t159 @t158)) % 3.85/4.11 (define @t162 () (tptp.sameside @t161 @t157 @t156)) % 3.85/4.11 (define @t163 () (tptp.s_t @t156 @t157 @t160)) % 3.85/4.11 (define @t164 () (not @t163)) % 3.85/4.11 (define @t165 () (tptp.s_t @t161 @t157 @t160)) % 3.85/4.11 (define @t166 () (not @t165)) % 3.85/4.11 (define @t167 () (= @t157 @t160)) % 3.85/4.11 (define @t168 () (or (= @t161 @t157) (= @t157 @t156) @t167 @t166 @t164 @t162)) % 3.85/4.11 (define @t169 () (forall @t96 (or @t94 (= @t24 @t22) (= @t24 @t23) @t27 @t91 @t89))) % 3.85/4.11 (define @t170 () (= @t156 @t157)) % 3.85/4.11 (define @t171 () (= @t157 @t161)) % 3.85/4.11 (define @t172 () (or @t171 @t170 @t167 @t166 @t164 @t162)) % 3.85/4.11 (define @t173 () (@list false)) % 3.85/4.11 (define @t174 () (forall @t14 @t12)) % 3.85/4.11 (define @t175 () (@list @t1 @t2 @t10 @t6)) % 3.85/4.11 (define @t176 () (forall @t14 @t13)) % 3.85/4.11 (define @t177 () (and @t176 @t174)) % 3.85/4.11 (define @t178 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 3.85/4.11 (define @t179 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 3.85/4.11 (define @t180 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 3.85/4.11 (define @t181 () (@var "BOUND_VARIABLE_8325" $$unsorted)) % 3.85/4.11 (define @t182 () (tptp.s_e @t181 (tptp.insert @t179 @t178 @t181 @t180) @t179 @t178)) % 3.85/4.11 (define @t183 () (@list @t180 @t181 @t179 @t178)) % 3.85/4.11 (define @t184 () (forall @t183 (or (= @t180 @t181) (= @t179 @t178) @t182))) % 3.85/4.11 (define @t185 () (@quantifiers_skolemize @t184 3)) % 3.85/4.11 (define @t186 () (@quantifiers_skolemize @t184 2)) % 3.85/4.11 (define @t187 () (@quantifiers_skolemize @t184 1)) % 3.85/4.11 (define @t188 () (@quantifiers_skolemize @t184 0)) % 3.85/4.11 (define @t189 () (tptp.s_e @t187 (tptp.insert @t186 @t185 @t187 @t188) @t186 @t185)) % 3.85/4.11 (define @t190 () (or (= @t188 @t187) (= @t186 @t185) @t189)) % 3.85/4.11 (define @t191 () (not @t190)) % 3.85/4.11 (define @t192 () (not @t184)) % 3.85/4.11 (define @t193 () (or (= @t181 @t180) (= @t178 @t179) @t182)) % 3.85/4.11 (define @t194 () (forall @t183 @t193)) % 3.85/4.11 (define @t195 () (or (= @t150 @t149) (= @t151 @t152) @t153)) % 3.85/4.11 (define @t196 () (forall @t154 @t195)) % 3.85/4.11 (define @t197 () (= @t20 @t105)) % 3.85/4.11 (define @t198 () (or @t197 @t88 @t107)) % 3.85/4.11 (define @t199 () (forall @t113 @t198)) % 3.85/4.11 (define @t200 () (@list @t105 @t20 @t22 @t23)) % 3.85/4.11 (define @t201 () (or @t197 @t88 @t110)) % 3.85/4.11 (define @t202 () (forall @t113 @t201)) % 3.85/4.11 (define @t203 () (and @t202 @t199)) % 3.85/4.11 (define @t204 () (not @t155)) % 3.85/4.11 (define @t205 () (tptp.insert @t159 @t158 @t157 @t156)) % 3.85/4.11 (define @t206 () (tptp.sameside @t205 @t157 @t156)) % 3.85/4.11 (define @t207 () (= @t159 @t158)) % 3.85/4.11 (define @t208 () (or @t170 @t207 @t206)) % 3.85/4.11 (define @t209 () (not @t208)) % 3.85/4.11 (define @t210 () (@list true)) % 3.85/4.11 (define @t211 () (not @t206)) % 3.85/4.11 (define @t212 () (@list @t208)) % 3.85/4.11 (define @t213 () (not @t162)) % 3.85/4.11 (define @t214 () (= @t205 @t161)) % 3.85/4.11 (define @t215 () (not @t214)) % 3.85/4.11 (define @t216 () (and @t211 @t214)) % 3.85/4.11 (define @t217 () (@list true false)) % 3.85/4.11 (define @t218 () (@list @t160 @t157 @t159 @t158)) % 3.85/4.11 (define @t219 () (tptp.s_t @t160 @t157 @t161)) % 3.85/4.11 (define @t220 () (not @t219)) % 3.85/4.11 (define @t221 () (or @t220 @t165)) % 3.85/4.11 (define @t222 () (@list false false)) % 3.85/4.11 (define @t223 () (tptp.s_e @t157 @t205 @t159 @t158)) % 3.85/4.11 (define @t224 () (tptp.s_e @t159 @t158 @t157 @t205)) % 3.85/4.11 (define @t225 () (not @t223)) % 3.85/4.11 (define @t226 () (or @t225 @t224)) % 3.85/4.11 (define @t227 () (tptp.s_e @t159 @t158 @t205 @t157)) % 3.85/4.11 (define @t228 () (not @t224)) % 3.85/4.11 (define @t229 () (or @t228 @t227)) % 3.85/4.11 (define @t230 () (tptp.s_e @t159 @t158 @t205 @t205)) % 3.85/4.11 (define @t231 () (and @t214 @t227 @t171)) % 3.85/4.11 (define @t232 () (not @t230)) % 3.85/4.11 (define @t233 () (or @t232 @t207)) % 3.85/4.11 (define @t234 () (not @t233)) % 3.85/4.11 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 3.85/4.11 (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)))) % 3.85/4.11 (assume @p3 @t9) % 3.85/4.11 (assume @p4 @t15) % 3.85/4.11 (assume @p5 (forall (@list @t1 @t2 @t19 @t18 @t7 @t17 @t6 @t16) (or (not (tptp.s_e @t1 @t2 @t19 @t18)) (not (tptp.s_e @t2 @t7 @t18 @t17)) (not (tptp.s_e @t1 @t6 @t19 @t16)) (not (tptp.s_e @t2 @t6 @t18 @t16)) (not (tptp.s_t @t1 @t2 @t7)) (not (tptp.s_t @t19 @t18 @t17)) @t8 (tptp.s_e @t7 @t6 @t17 @t16)))) % 3.85/4.11 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 3.85/4.11 (assume @p7 (forall (@list @t20 @t24 @t23 @t22 @t21) (and (or @t27 @t26 (tptp.s_t @t24 @t25 @t22)) (or @t27 @t26 (tptp.s_t @t21 @t25 @t20))))) % 3.85/4.11 (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)))) % 3.85/4.11 (assume @p9 (forall @t28 (tptp.s_e @t20 @t22 @t20 @t22))) % 3.85/4.11 (assume @p10 (forall @t32 (or @t31 (tptp.s_e @t23 @t29 @t20 @t22)))) % 3.85/4.11 (assume @p11 (forall @t35 (or @t31 (not (tptp.s_e @t23 @t29 @t34 @t33)) (tptp.s_e @t20 @t22 @t34 @t33)))) % 3.85/4.11 (assume @p12 (forall @t32 (or @t31 (tptp.s_e @t22 @t20 @t23 @t29)))) % 3.85/4.11 (assume @p13 (forall @t32 (or @t31 (tptp.s_e @t20 @t22 @t29 @t23)))) % 3.85/4.11 (assume @p14 (forall @t28 (tptp.s_e @t20 @t20 @t22 @t22))) % 3.85/4.11 (assume @p15 (forall @t47 (or @t46 @t44 @t42 @t40 @t38))) % 3.85/4.11 (assume @p16 (forall (@list @t21 @t20 @t29 @t22 @t23) (or (= @t21 @t20) (not (tptp.s_t @t21 @t20 @t29)) (not (tptp.s_e @t20 @t29 @t22 @t23)) (= @t29 (tptp.ext @t21 @t20 @t22 @t23))))) % 3.85/4.11 (assume @p17 (forall (@list @t22 @t23 @t20) (or (not (tptp.s_e @t22 @t23 @t20 @t20)) @t48))) % 3.85/4.11 (assume @p18 (forall @t32 (or @t31 (tptp.s_e @t22 @t20 @t29 @t23)))) % 3.85/4.11 (assume @p19 (forall (@list @t20 @t22 @t23 @t50 @t51 @t49) (or @t46 (not (tptp.s_t @t50 @t51 @t49)) (not (tptp.s_e @t20 @t22 @t51 @t49)) (not (tptp.s_e @t22 @t23 @t50 @t51)) (tptp.s_e @t20 @t23 @t50 @t49)))) % 3.85/4.11 (assume @p20 (forall @t28 (tptp.s_t @t20 @t22 @t22))) % 3.85/4.11 (assume @p21 (forall @t52 (or @t46 (tptp.s_t @t23 @t22 @t20)))) % 3.85/4.11 (assume @p22 (forall (@list @t37 @t39) (tptp.s_t @t37 @t37 @t39))) % 3.85/4.11 (assume @p23 (forall @t52 (or @t46 (not (tptp.s_t @t22 @t20 @t23)) @t53))) % 3.85/4.11 (assume @p24 (forall @t58 (or @t57 @t55 @t45))) % 3.85/4.11 (assume @p25 (forall @t32 (or @t46 @t60 @t54))) % 3.85/4.11 (assume @p26 (forall @t32 (or @t46 @t55 @t48 @t59))) % 3.85/4.11 (assume @p27 (forall @t58 (or @t57 @t55 @t59))) % 3.85/4.11 (assume @p28 (forall @t32 (or @t46 @t60 @t56))) % 3.85/4.11 (assume @p29 (forall @t32 (or @t46 @t55 @t48 @t56))) % 3.85/4.11 (assume @p30 (not (= tptp.alpha tptp.beta))) % 3.85/4.11 (assume @p31 (not (= tptp.beta tptp.gamma))) % 3.85/4.11 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 3.85/4.11 (assume @p33 (forall @t28 (tptp.s_t @t20 @t22 @t61))) % 3.85/4.11 (assume @p34 (forall (@list @t22 @t20) (not (= @t22 @t61)))) % 3.85/4.11 (assume @p35 (forall (@list @t20 @t22 @t23 @t37 @t39 @t24) (and (or @t46 @t64 @t63 (tptp.s_t @t24 @t62 @t23)) (or @t46 @t64 @t63 (tptp.s_t @t22 @t62 @t39))))) % 3.85/4.11 (assume @p36 (forall @t67 (or (not (tptp.s_ifs @t20 @t22 @t23 @t29 @t37 @t39 @t36 @t65)) @t66))) % 3.85/4.11 (assume @p37 (forall @t47 (or @t46 @t44 @t68 @t40 @t41))) % 3.85/4.11 (assume @p38 (forall (@list @t20 @t22 @t23 @t37 @t36) (and (or @t46 @t68 (tptp.s_t @t37 @t69 @t36)) (or @t46 @t68 (tptp.s_e3 @t20 @t22 @t23 @t37 @t69 @t36))))) % 3.85/4.11 (assume @p39 (forall @t47 (or @t46 @t71 @t43))) % 3.85/4.11 (assume @p40 (forall @t52 (or @t73 (tptp.s_col @t22 @t23 @t20)))) % 3.85/4.11 (assume @p41 (forall @t52 (or @t73 (tptp.s_col @t23 @t20 @t22)))) % 3.85/4.11 (assume @p42 (forall @t52 (or @t73 (tptp.s_col @t23 @t22 @t20)))) % 3.85/4.11 (assume @p43 (forall @t52 (or @t73 (tptp.s_col @t22 @t20 @t23)))) % 3.85/4.11 (assume @p44 (forall @t52 (or @t73 (tptp.s_col @t20 @t23 @t22)))) % 3.85/4.11 (assume @p45 (forall @t28 (tptp.s_col @t20 @t20 @t22))) % 3.85/4.11 (assume @p46 (forall @t28 (tptp.s_col @t20 @t22 @t20))) % 3.85/4.11 (assume @p47 (forall @t47 (or @t73 @t71 (tptp.s_col @t37 @t39 @t36)))) % 3.85/4.11 (assume @p48 (forall (@list @t20 @t22 @t23 @t37 @t39) (or @t73 @t42 (tptp.s_e3 @t20 @t22 @t23 @t37 @t39 (tptp.insert5 @t20 @t22 @t23 @t37 @t39))))) % 3.85/4.11 (assume @p49 (forall @t67 (or @t76 @t53 @t74))) % 3.85/4.11 (assume @p50 (forall (@list @t20 @t22 @t23 @t24 @t21) (or @t53 @t73 (not (tptp.s_e @t20 @t24 @t20 @t21)) (not (tptp.s_e @t22 @t24 @t22 @t21)) (tptp.s_e @t23 @t24 @t23 @t21)))) % 3.85/4.11 (assume @p51 (forall (@list @t20 @t22 @t23 @t36) (or @t53 @t73 @t79 @t78 @t77))) % 3.85/4.11 (assume @p52 (forall (@list @t20 @t23 @t22 @t36) (or (not @t80) @t79 @t78 @t77))) % 3.85/4.11 (assume @p53 (forall @t32 (or @t53 @t46 @t57 @t59 (tptp.s_t @t20 @t29 @t23)))) % 3.85/4.11 (assume @p54 (forall @t32 (or @t53 @t46 @t57 @t54 (tptp.s_t @t22 @t29 @t23)))) % 3.85/4.11 (assume @p55 (forall @t58 (or @t57 @t60 @t45 @t80))) % 3.85/4.11 (assume @p56 (forall @t32 (and (or @t84 (tptp.s_t @t20 @t22 @t82)) (or @t84 (tptp.s_e @t20 @t82 @t23 @t29)) (or @t84 (= @t82 (tptp.ext @t20 @t22 @t81 @t29)))))) % 3.85/4.11 (assume @p57 (forall (@list @t20 @t22 @t23 @t29 @t34) (or @t83 (not (tptp.s_t @t20 @t22 @t34)) (not (tptp.s_e @t20 @t34 @t23 @t29))))) % 3.85/4.11 (assume @p58 (forall @t67 (or @t84 @t42 (not @t74) (tptp.le @t37 @t39 @t36 @t65)))) % 3.85/4.11 (assume @p59 (forall @t28 (tptp.le @t20 @t22 @t20 @t22))) % 3.85/4.11 (assume @p60 (forall @t35 (or @t84 (not (tptp.le @t23 @t29 @t34 @t33)) (tptp.le @t20 @t22 @t34 @t33)))) % 3.85/4.11 (assume @p61 (forall @t32 (or @t84 (not @t85) @t30))) % 3.85/4.11 (assume @p62 (forall @t32 (or @t83 @t85))) % 3.85/4.11 (assume @p63 (forall (@list @t20 @t23 @t29) (tptp.le @t20 @t20 @t23 @t29))) % 3.85/4.11 (assume @p64 (forall @t52 (or @t73 @t46 @t86))) % 3.85/4.11 (assume @p65 (forall @t52 (or @t73 @t46 @t87))) % 3.85/4.11 (assume @p66 (forall @t52 (or @t46 (not (tptp.s_e @t20 @t23 @t20 @t22)) @t88))) % 3.85/4.11 (assume @p67 (forall @t52 (or @t73 @t45 (not @t86) (not @t87)))) % 3.85/4.11 (assume @p68 @t97) % 3.85/4.11 (assume @p69 (forall @t96 (or @t94 @t93 @t92 @t27 @t90 @t98))) % 3.85/4.11 (assume @p70 (forall @t102 (and @t101 @t100 (or @t98 (not (= @t99 @t24))) (or @t98 (tptp.s_t @t20 @t24 @t99)) (or @t98 (tptp.s_t @t22 @t24 @t99))))) % 3.85/4.11 (assume @p71 (forall @t96 (or @t89 @t94 @t93 @t92 @t27 @t91))) % 3.85/4.11 (assume @p72 (forall @t102 (and (or @t98 @t104) (or @t98 (not @t103))))) % 3.85/4.11 (assume @p73 (forall @t102 (or @t89 (not @t104) @t103))) % 3.85/4.11 (assume @p74 (forall (@list @t20 @t24) (or @t94 (tptp.sameside @t20 @t24 @t20)))) % 3.85/4.11 (assume @p75 (forall @t102 (or @t98 (tptp.sameside @t22 @t24 @t20)))) % 3.85/4.11 (assume @p76 (forall @t96 (or @t98 (not (tptp.sameside @t22 @t24 @t23)) (tptp.sameside @t20 @t24 @t23)))) % 3.85/4.11 (assume @p77 @t115) % 3.85/4.11 (assume @p78 (forall (@list @t20 @t22 @t37 @t36) (= @t69 (tptp.ext (tptp.ext @t36 @t37 tptp.alpha tptp.gamma) @t37 @t20 @t22)))) % 3.85/4.11 (assume @p79 (forall @t130 (and (or @t129 @t45) (or @t129 @t127) (or @t129 @t126) (or @t129 @t124) (or @t129 @t122) (or @t129 @t121) (or @t46 @t128 (not @t126) @t125 @t123 (not @t121) @t120)))) % 3.85/4.11 (assume @p80 (forall @t130 (and (or @t134 @t45) (or @t134 @t127) (or @t134 @t133) (or @t134 @t124) (or @t134 @t122) (or @t134 @t132) (or @t46 @t128 (not @t133) @t125 @t123 (not @t132) @t131)))) % 3.85/4.11 (assume @p81 (forall (@list @t37 @t138 @t137 @t39 @t136 @t135) (and (or @t143 @t142) (or @t143 @t141) (or @t143 @t140) (or (not @t142) (not @t141) (not @t140) @t139)))) % 3.85/4.11 (assume @p82 (forall @t52 (and (or @t73 @t45 @t145 @t144) (or @t72 @t46) (or @t72 (not @t145)) (or @t72 (not @t144))))) % 3.85/4.11 (assume @p83 (forall @t67 (and (or @t76 @t72) (or @t76 @t70) (or @t76 @t146) (or @t76 @t66) (or @t73 @t71 (not @t146) (not @t66) @t75)))) % 3.85/4.11 (assume @p84 (forall (@list @t20 @t22 @t23 @t29 @t2) (and (or @t84 (tptp.s_t @t23 @t81 @t29)) (or @t84 (tptp.s_e @t20 @t22 @t23 @t81)) (or (not (tptp.s_t @t23 @t2 @t29)) (not (tptp.s_e @t20 @t22 @t23 @t2)) @t83)))) % 3.85/4.11 (assume @p85 (forall @t102 (and @t101 @t100 (or @t98 @t148 @t147) (or (not @t148) @t94 (= tptp.xb @t24) @t89) (or (not @t147) @t94 @t93 @t89)))) % 3.85/4.11 (assume @p86 true) % 3.85/4.11 (step @p87 :rule refl :args (@t89)) % 3.85/4.11 (step @p88 :rule refl :args (@t91)) % 3.85/4.11 (step @p89 :rule refl :args (@t27)) % 3.85/4.11 (step @p90 :rule eq-symm :args (@t23 @t24)) % 3.85/4.11 (step @p91 :rule eq-symm :args (@t22 @t24)) % 3.85/4.11 (step @p92 :rule refl :args (@t94)) % 3.85/4.11 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88 @p87) :args (@t95)) % 3.85/4.11 (step @p94 :rule cong :premises (@p93) :args (@t97)) % 3.85/4.11 (step @p95 :rule eq_resolve :premises (@p68 @p94)) % 3.85/4.11 (step @p96 :rule refl :args (@t162)) % 3.85/4.11 (step @p97 :rule refl :args (@t164)) % 3.85/4.11 (step @p98 :rule refl :args (@t166)) % 3.85/4.11 (step @p99 :rule refl :args (@t167)) % 3.85/4.11 (step @p100 :rule eq-symm :args (@t157 @t156)) % 3.85/4.11 (step @p101 :rule eq-symm :args (@t161 @t157)) % 3.85/4.11 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97 @p96) :args (@t168)) % 3.85/4.11 (step @p103 :rule refl :args (@t169)) % 3.85/4.11 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t169 @t168))) % 3.85/4.11 (assume-push @p277 @t169) % 3.85/4.11 (step @p106 :rule instantiate :premises (@p95) :args ((@list @t161 @t157 @t156 @t160))) % 3.85/4.11 (step-pop @p278 :rule scope :premises (@p106)) % 3.85/4.11 (step @p107 :rule process_scope :premises (@p278) :args (@t168)) % 3.85/4.11 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 3.85/4.11 (step @p110 :rule implies_elim :premises (@p109)) % 3.85/4.11 (step @p111 :rule chain_m_resolution :premises (@p110 @p95) :args (@t172 @t173 (@list @t169))) % 3.85/4.11 (step @p112 :rule instantiate :premises (@p78) :args ((@list @t159 @t158 @t157 @t156))) % 3.85/4.11 (step @p113 :rule alpha_equiv :args (@t174 @t175 (@list (@var "BOUND_VARIABLE_7965" $$unsorted) (@var "BOUND_VARIABLE_7967" $$unsorted) (@var "BOUND_VARIABLE_7969" $$unsorted) (@var "BOUND_VARIABLE_7971" $$unsorted)))) % 3.85/4.11 (step @p114 :rule alpha_equiv :args (@t176 @t175 (@list (@var "BOUND_VARIABLE_7953" $$unsorted) (@var "BOUND_VARIABLE_7955" $$unsorted) (@var "BOUND_VARIABLE_7957" $$unsorted) (@var "BOUND_VARIABLE_7959" $$unsorted)))) % 3.85/4.11 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t177)) % 3.85/4.11 (step @p116 :rule quant-miniscope-and :args ((= @t15 @t177))) % 3.85/4.11 (step @p117 :rule trans :premises (@p116 @p115)) % 3.85/4.11 (step @p118 :rule eq_resolve :premises (@p4 @p117)) % 3.85/4.11 (step @p119 :rule and_elim :premises (@p118) :args (1)) % 3.85/4.11 (step @p120 :rule instantiate :premises (@p119) :args ((@list (tptp.ext @t188 @t187 tptp.alpha tptp.gamma) @t187 @t186 @t185))) % 3.85/4.11 (step @p121 :rule true_intro :premises (@p120)) % 3.85/4.11 (step @p122 :rule refl :args (@t185)) % 3.85/4.11 (step @p123 :rule refl :args (@t186)) % 3.85/4.11 (step @p124 :rule instantiate :premises (@p78) :args ((@list @t186 @t185 @t187 @t188))) % 3.85/4.11 (step @p125 :rule refl :args (@t187)) % 3.85/4.11 (step @p126 :rule cong :premises (@p125 @p124 @p123 @p122) :args (@t189)) % 3.85/4.11 (step @p127 :rule trans :premises (@p126 @p121)) % 3.85/4.11 (step @p128 :rule true_elim :premises (@p127)) % 3.85/4.11 (step @p129 :rule cnf_or_neg :args (@t190 2)) % 3.85/4.11 (step @p130 :rule chain_m_resolution :premises (@p129 @p128) :args (@t190 @t173 (@list @t189))) % 3.85/4.11 (step @p131 :rule refl :args (@t191)) % 3.85/4.11 (step @p132 :rule bool-double-not-elim :args (@t184)) % 3.85/4.11 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t192) @t191))) % 3.85/4.11 (assume-push @p279 @t192) % 3.85/4.11 (step @p135 :rule skolemize :premises (@p279)) % 3.85/4.11 (step-pop @p280 :rule scope :premises (@p135)) % 3.85/4.11 (step @p136 :rule process_scope :premises (@p280) :args (@t191)) % 3.85/4.11 (step @p138 :rule implies_elim :premises (@p136)) % 3.85/4.11 (step @p139 :rule eq_resolve :premises (@p138 @p133)) % 3.85/4.11 (step @p140 :rule chain_m_resolution :premises (@p139 @p130) :args (@t184 @t173 (@list @t190))) % 3.85/4.11 (step @p141 :rule refl :args (@t182)) % 3.85/4.11 (step @p142 :rule eq-symm :args (@t178 @t179)) % 3.85/4.11 (step @p143 :rule eq-symm :args (@t181 @t180)) % 3.85/4.11 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141) :args (@t193)) % 3.85/4.11 (step @p145 :rule cong :premises (@p144) :args (@t194)) % 3.85/4.11 (step @p146 :rule refl :args (@t153)) % 3.85/4.11 (step @p147 :rule eq-symm :args (@t151 @t152)) % 3.85/4.11 (step @p148 :rule eq-symm :args (@t150 @t149)) % 3.85/4.11 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args (@t195)) % 3.85/4.11 (step @p150 :rule cong :premises (@p149) :args (@t196)) % 3.85/4.11 (step @p151 :rule nary_cong :premises (@p150 @p145) :args ((and @t196 @t194))) % 3.85/4.11 (step @p152 :rule alpha_equiv :args (@t199 @t200 (@list @t180 @t181 @t179 @t178))) % 3.85/4.11 (step @p153 :rule alpha_equiv :args (@t202 @t200 (@list @t149 @t150 @t152 @t151))) % 3.85/4.11 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t203)) % 3.85/4.11 (step @p155 :rule quant-miniscope-and :args ((= (forall @t113 (and @t201 @t198)) @t203))) % 3.85/4.11 (step @p156 :rule trans :premises (@p155 @p154)) % 3.85/4.11 (step @p157 :rule trans :premises (@p156 @p151)) % 3.85/4.11 (step @p158 :rule refl :args (@t107)) % 3.85/4.11 (step @p159 :rule eq-symm :args (@t22 @t23)) % 3.85/4.11 (step @p160 :rule eq-symm :args (@t105 @t20)) % 3.85/4.11 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158) :args (@t109)) % 3.85/4.11 (step @p162 :rule refl :args (@t110)) % 3.85/4.11 (step @p163 :rule nary_cong :premises (@p160 @p159 @p162) :args (@t111)) % 3.85/4.11 (step @p164 :rule nary_cong :premises (@p163 @p161) :args (@t112)) % 3.85/4.11 (step @p165 :rule cong :premises (@p164) :args (@t114)) % 3.85/4.11 (step @p166 :rule trans :premises (@p165 @p157)) % 3.85/4.11 (step @p167 :rule cong :premises (@p166) :args (@t115)) % 3.85/4.11 (step @p168 :rule eq_resolve :premises (@p77 @p167)) % 3.85/4.11 (step @p169 :rule not_and :premises (@p168)) % 3.85/4.11 (step @p170 :rule chain_m_resolution :premises (@p169 @p140) :args (@t204 @t173 (@list @t184))) % 3.85/4.11 (step @p171 :rule refl :args (@t209)) % 3.85/4.11 (step @p172 :rule bool-double-not-elim :args (@t155)) % 3.85/4.11 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t204) @t209))) % 3.85/4.11 (assume-push @p281 @t204) % 3.85/4.11 (step @p175 :rule skolemize :premises (@p281)) % 3.85/4.11 (step-pop @p282 :rule scope :premises (@p175)) % 3.85/4.11 (step @p176 :rule process_scope :premises (@p282) :args (@t209)) % 3.85/4.11 (step @p178 :rule implies_elim :premises (@p176)) % 3.85/4.11 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 3.85/4.11 (step @p180 :rule chain_m_resolution :premises (@p179 @p170) :args (@t209 @t210 (@list @t155))) % 3.85/4.11 (step @p181 :rule cnf_or_neg :args (@t208 2)) % 3.85/4.11 (step @p182 :rule chain_m_resolution :premises (@p181 @p180) :args (@t211 @t210 @t212)) % 3.85/4.11 (step @p183 :rule refl :args (@t213)) % 3.85/4.11 (step @p184 :rule refl :args (@t215)) % 3.85/4.11 (step @p185 :rule bool-double-not-elim :args (@t206)) % 3.85/4.11 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args ((or (not @t211) @t215 @t213))) % 3.85/4.11 (assume-push @p283 @t211) % 3.85/4.11 (assume-push @p284 @t214) % 3.85/4.11 (assume-push @p285 @t211) % 3.85/4.11 (assume-push @p286 @t214) % 3.85/4.11 (step @p191 :rule false_intro :premises (@p283)) % 3.85/4.11 (step @p192 :rule refl :args (@t156)) % 3.85/4.11 (step @p193 :rule refl :args (@t157)) % 3.85/4.11 (step @p194 :rule symm :premises (@p112)) % 3.85/4.11 (step @p195 :rule cong :premises (@p194 @p193 @p192) :args (@t162)) % 3.85/4.11 (step @p196 :rule trans :premises (@p195 @p191)) % 3.85/4.11 (step @p197 :rule false_elim :premises (@p196)) % 3.85/4.11 (step-pop @p287 :rule scope :premises (@p197)) % 3.85/4.11 (step-pop @p288 :rule scope :premises (@p287)) % 3.85/4.11 (step @p198 :rule process_scope :premises (@p288) :args (@t213)) % 3.85/4.11 (step @p201 :rule and_intro :premises (@p283 @p112)) % 3.85/4.11 (step @p202 :rule modus_ponens :premises (@p201 @p198)) % 3.85/4.11 (step-pop @p289 :rule scope :premises (@p202)) % 3.85/4.11 (step-pop @p290 :rule scope :premises (@p289)) % 3.85/4.11 (step @p203 :rule process_scope :premises (@p290) :args (@t213)) % 3.85/4.11 (step @p206 :rule implies_elim :premises (@p203)) % 3.85/4.11 (step @p207 :rule cnf_and_neg :args (@t216)) % 3.85/4.11 (step @p208 :rule resolution :premises (@p207 @p206) :args (true @t216)) % 3.85/4.11 (step @p209 :rule eq_resolve :premises (@p208 @p186)) % 3.85/4.11 (step @p210 :rule chain_m_resolution :premises (@p209 @p182 @p112) :args (@t213 @t217 (@list @t206 @t214))) % 3.85/4.11 (step @p211 :rule instantiate :premises (@p21) :args ((@list @t160 @t157 @t161))) % 3.85/4.11 (step @p212 :rule and_elim :premises (@p118) :args (0)) % 3.85/4.11 (step @p213 :rule instantiate :premises (@p212) :args (@t218)) % 3.85/4.11 (step @p214 :rule cnf_or_pos :args (@t221)) % 3.85/4.11 (step @p215 :rule reordering :premises (@p214) :args ((or @t220 @t165 (not @t221)))) % 3.85/4.11 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p211) :args (@t165 @t222 (@list @t219 @t221))) % 3.85/4.11 (step @p217 :rule instantiate :premises (@p212) :args ((@list @t156 @t157 tptp.alpha tptp.gamma))) % 3.85/4.11 (step @p218 :rule instantiate :premises (@p34) :args ((@list @t157 @t156))) % 3.85/4.11 (step @p219 :rule cnf_or_neg :args (@t208 0)) % 3.85/4.11 (step @p220 :rule chain_m_resolution :premises (@p219 @p180) :args ((not @t170) @t210 @t212)) % 3.85/4.11 (step @p221 :rule cnf_or_pos :args (@t172)) % 3.85/4.11 (step @p222 :rule reordering :premises (@p221) :args ((or @t170 @t167 @t164 @t171 @t166 @t162 (not @t172)))) % 3.85/4.11 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p218 @p217 @p216 @p210 @p111) :args (@t171 (@list true true false false true false) (@list @t170 @t167 @t163 @t165 @t162 @t172))) % 3.85/4.11 (step @p224 :rule instantiate :premises (@p13) :args ((@list @t159 @t158 @t157 @t205))) % 3.85/4.11 (step @p225 :rule instantiate :premises (@p10) :args ((@list @t157 @t205 @t159 @t158))) % 3.85/4.11 (step @p226 :rule instantiate :premises (@p119) :args (@t218)) % 3.85/4.11 (step @p227 :rule true_intro :premises (@p226)) % 3.85/4.11 (step @p228 :rule refl :args (@t158)) % 3.85/4.11 (step @p229 :rule refl :args (@t159)) % 3.85/4.11 (step @p193 :rule refl :args (@t157)) % 3.85/4.11 (step @p230 :rule cong :premises (@p193 @p112 @p229 @p228) :args (@t223)) % 3.85/4.11 (step @p231 :rule trans :premises (@p230 @p227)) % 3.85/4.11 (step @p232 :rule true_elim :premises (@p231)) % 3.85/4.11 (step @p233 :rule cnf_or_pos :args (@t226)) % 3.85/4.11 (step @p234 :rule reordering :premises (@p233) :args ((or @t224 @t225 (not @t226)))) % 3.85/4.12 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p225) :args (@t224 @t222 (@list @t223 @t226))) % 3.85/4.12 (step @p236 :rule cnf_or_pos :args (@t229)) % 3.85/4.12 (step @p237 :rule reordering :premises (@p236) :args ((or @t228 @t227 (not @t229)))) % 3.85/4.12 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p224) :args (@t227 @t222 (@list @t224 @t229))) % 3.85/4.12 (assume-push @p291 @t214) % 3.85/4.12 (assume-push @p292 @t227) % 3.85/4.12 (assume-push @p293 @t171) % 3.85/4.12 (assume-push @p294 @t227) % 3.85/4.12 (assume-push @p295 @t214) % 3.85/4.12 (assume-push @p296 @t171) % 3.85/4.12 (step @p245 :rule true_intro :premises (@p238)) % 3.85/4.12 (step @p194 :rule symm :premises (@p112)) % 3.85/4.12 (step @p246 :rule cong :premises (@p229 @p228 @p194 @p193) :args ((tptp.s_e @t159 @t158 @t161 @t157))) % 3.85/4.12 (step @p247 :rule symm :premises (@p293)) % 3.85/4.12 (step @p248 :rule trans :premises (@p112 @p247)) % 3.85/4.12 (step @p249 :rule cong :premises (@p229 @p228 @p112 @p248) :args (@t230)) % 3.85/4.12 (step @p250 :rule trans :premises (@p249 @p246 @p245)) % 3.85/4.12 (step @p251 :rule true_elim :premises (@p250)) % 3.85/4.12 (step-pop @p297 :rule scope :premises (@p251)) % 3.85/4.12 (step-pop @p298 :rule scope :premises (@p297)) % 3.85/4.12 (step-pop @p299 :rule scope :premises (@p298)) % 3.85/4.12 (step @p252 :rule process_scope :premises (@p299) :args (@t230)) % 3.85/4.12 (step @p256 :rule and_intro :premises (@p238 @p112 @p293)) % 3.85/4.12 (step @p257 :rule modus_ponens :premises (@p256 @p252)) % 3.85/4.12 (step-pop @p300 :rule scope :premises (@p257)) % 3.85/4.12 (step-pop @p301 :rule scope :premises (@p300)) % 3.85/4.12 (step-pop @p302 :rule scope :premises (@p301)) % 3.85/4.12 (step @p258 :rule process_scope :premises (@p302) :args (@t230)) % 3.85/4.12 (step @p262 :rule implies_elim :premises (@p258)) % 3.85/4.12 (step @p263 :rule cnf_and_neg :args (@t231)) % 3.85/4.12 (step @p264 :rule resolution :premises (@p263 @p262) :args (true @t231)) % 3.85/4.12 (step @p265 :rule chain_m_resolution :premises (@p264 @p112 @p238 @p223) :args (@t230 (@list false false false) (@list @t214 @t227 @t171))) % 3.85/4.12 (step @p266 :rule cnf_or_neg :args (@t208 1)) % 3.85/4.12 (step @p267 :rule chain_m_resolution :premises (@p266 @p180) :args ((not @t207) @t210 @t212)) % 3.85/4.12 (step @p268 :rule cnf_or_pos :args (@t233)) % 3.85/4.12 (step @p269 :rule reordering :premises (@p268) :args ((or @t207 @t232 @t234))) % 3.85/4.12 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p265) :args (@t234 @t217 (@list @t207 @t230))) % 3.85/4.12 (assume-push @p303 @t9) % 3.85/4.12 (step @p272 :rule instantiate :premises (@p3) :args ((@list @t159 @t158 @t205))) % 3.85/4.12 (step-pop @p304 :rule scope :premises (@p272)) % 3.85/4.12 (step @p273 :rule process_scope :premises (@p304) :args (@t233)) % 3.85/4.12 (step @p275 :rule implies_elim :premises (@p273)) % 3.85/4.12 (step @p276 false :rule chain_m_resolution :premises (@p275 @p270 @p3) :args (false @t217 (@list @t233 @t9))) % 3.85/4.12 ) % 3.85/4.12 % SZS output end Proof % 3.85/4.12 % cvc5 exiting %------------------------------------------------------------------------------