%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO495+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 : n020.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 1.41s 1.63s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO495+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 : n020.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 23:56:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.41/1.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.41/1.63 % SZS status Theorem % 1.41/1.63 % SZS output start Proof % 1.41/1.63 ( % 1.41/1.63 (declare-sort $$unsorted 0) % 1.41/1.63 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.beta $$unsorted) % 1.41/1.63 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.alpha $$unsorted) % 1.41/1.63 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.gamma $$unsorted) % 1.41/1.63 (define @t1 () (@var "X" $$unsorted)) % 1.41/1.63 (define @t2 () (@var "Y" $$unsorted)) % 1.41/1.63 (define @t3 () (@list @t1 @t2)) % 1.41/1.63 (define @t4 () (@var "V2" $$unsorted)) % 1.41/1.63 (define @t5 () (@var "Z2" $$unsorted)) % 1.41/1.63 (define @t6 () (@var "V" $$unsorted)) % 1.41/1.63 (define @t7 () (@var "Z" $$unsorted)) % 1.41/1.63 (define @t8 () (= @t1 @t2)) % 1.41/1.63 (define @t9 () (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 1.41/1.63 (define @t10 () (@var "W" $$unsorted)) % 1.41/1.63 (define @t11 () (tptp.ext @t1 @t2 @t10 @t6)) % 1.41/1.63 (define @t12 () (tptp.s_e @t2 @t11 @t10 @t6)) % 1.41/1.63 (define @t13 () (tptp.s_t @t1 @t2 @t11)) % 1.41/1.63 (define @t14 () (@list @t1 @t2 @t10 @t6)) % 1.41/1.63 (define @t15 () (forall @t14 (and @t13 @t12))) % 1.41/1.63 (define @t16 () (@var "V1" $$unsorted)) % 1.41/1.63 (define @t17 () (@var "Z1" $$unsorted)) % 1.41/1.63 (define @t18 () (@var "Y1" $$unsorted)) % 1.41/1.63 (define @t19 () (@var "X1" $$unsorted)) % 1.41/1.63 (define @t20 () (@var "Xa" $$unsorted)) % 1.41/1.63 (define @t21 () (@var "Xq" $$unsorted)) % 1.41/1.63 (define @t22 () (@var "Xb" $$unsorted)) % 1.41/1.63 (define @t23 () (@var "Xc" $$unsorted)) % 1.41/1.63 (define @t24 () (@var "Xp" $$unsorted)) % 1.41/1.63 (define @t25 () (tptp.ip @t20 @t24 @t23 @t22 @t21)) % 1.41/1.63 (define @t26 () (not (tptp.s_t @t22 @t21 @t23))) % 1.41/1.63 (define @t27 () (not (tptp.s_t @t20 @t24 @t23))) % 1.41/1.63 (define @t28 () (@list @t20 @t22)) % 1.41/1.63 (define @t29 () (@var "Xd" $$unsorted)) % 1.41/1.63 (define @t30 () (tptp.s_e @t20 @t22 @t23 @t29)) % 1.41/1.63 (define @t31 () (not @t30)) % 1.41/1.63 (define @t32 () (@list @t20 @t22 @t23 @t29)) % 1.41/1.63 (define @t33 () (@var "Xf" $$unsorted)) % 1.41/1.63 (define @t34 () (@var "Xe" $$unsorted)) % 1.41/1.63 (define @t35 () (@list @t20 @t22 @t23 @t29 @t34 @t33)) % 1.41/1.63 (define @t36 () (@var "Xc1" $$unsorted)) % 1.41/1.63 (define @t37 () (@var "Xa1" $$unsorted)) % 1.41/1.63 (define @t38 () (tptp.s_e @t20 @t23 @t37 @t36)) % 1.41/1.63 (define @t39 () (@var "Xb1" $$unsorted)) % 1.41/1.63 (define @t40 () (not (tptp.s_e @t22 @t23 @t39 @t36))) % 1.41/1.63 (define @t41 () (tptp.s_e @t20 @t22 @t37 @t39)) % 1.41/1.63 (define @t42 () (not @t41)) % 1.41/1.63 (define @t43 () (tptp.s_t @t37 @t39 @t36)) % 1.41/1.63 (define @t44 () (not @t43)) % 1.41/1.63 (define @t45 () (tptp.s_t @t20 @t22 @t23)) % 1.41/1.63 (define @t46 () (not @t45)) % 1.41/1.63 (define @t47 () (@list @t20 @t22 @t23 @t37 @t39 @t36)) % 1.41/1.63 (define @t48 () (= @t29 (tptp.ext @t21 @t20 @t22 @t23))) % 1.41/1.63 (define @t49 () (not (tptp.s_e @t20 @t29 @t22 @t23))) % 1.41/1.63 (define @t50 () (not (tptp.s_t @t21 @t20 @t29))) % 1.41/1.63 (define @t51 () (or (= @t21 @t20) @t50 @t49 @t48)) % 1.41/1.63 (define @t52 () (forall (@list @t21 @t20 @t29 @t22 @t23) @t51)) % 1.41/1.63 (define @t53 () (= @t22 @t23)) % 1.41/1.63 (define @t54 () (@var "XC" $$unsorted)) % 1.41/1.63 (define @t55 () (@var "XA" $$unsorted)) % 1.41/1.63 (define @t56 () (@var "XB" $$unsorted)) % 1.41/1.63 (define @t57 () (@list @t20 @t22 @t23)) % 1.41/1.63 (define @t58 () (= @t20 @t22)) % 1.41/1.63 (define @t59 () (tptp.s_t @t22 @t23 @t29)) % 1.41/1.63 (define @t60 () (not @t59)) % 1.41/1.63 (define @t61 () (tptp.s_t @t20 @t22 @t29)) % 1.41/1.63 (define @t62 () (not @t61)) % 1.41/1.63 (define @t63 () (@list @t20 @t22 @t29 @t23)) % 1.41/1.63 (define @t64 () (tptp.s_t @t20 @t23 @t29)) % 1.41/1.63 (define @t65 () (not @t64)) % 1.41/1.63 (define @t66 () (tptp.ext @t20 @t22 tptp.alpha tptp.gamma)) % 1.41/1.63 (define @t67 () (tptp.crossbar @t20 @t22 @t23 @t37 @t39 @t24)) % 1.41/1.63 (define @t68 () (not (tptp.s_t @t20 @t24 @t37))) % 1.41/1.63 (define @t69 () (not (tptp.s_t @t37 @t39 @t23))) % 1.41/1.63 (define @t70 () (@var "Xd1" $$unsorted)) % 1.41/1.63 (define @t71 () (tptp.s_e @t22 @t29 @t39 @t70)) % 1.41/1.63 (define @t72 () (@list @t20 @t22 @t23 @t29 @t37 @t39 @t36 @t70)) % 1.41/1.63 (define @t73 () (not @t38)) % 1.41/1.63 (define @t74 () (tptp.insert @t20 @t22 @t37 @t36)) % 1.41/1.63 (define @t75 () (or @t46 @t73 (tptp.s_e3 @t20 @t22 @t23 @t37 @t74 @t36))) % 1.41/1.63 (define @t76 () (or @t46 @t73 (tptp.s_t @t37 @t74 @t36))) % 1.41/1.63 (define @t77 () (@list @t20 @t22 @t23 @t37 @t36)) % 1.41/1.63 (define @t78 () (forall @t77 (and @t76 @t75))) % 1.41/1.63 (define @t79 () (tptp.s_e3 @t20 @t22 @t23 @t37 @t39 @t36)) % 1.41/1.63 (define @t80 () (not @t79)) % 1.41/1.63 (define @t81 () (tptp.s_col @t20 @t22 @t23)) % 1.41/1.63 (define @t82 () (not @t81)) % 1.41/1.63 (define @t83 () (tptp.s_e @t23 @t29 @t36 @t70)) % 1.41/1.63 (define @t84 () (tptp.s_fs @t20 @t22 @t23 @t29 @t37 @t39 @t36 @t70)) % 1.41/1.63 (define @t85 () (not @t84)) % 1.41/1.63 (define @t86 () (= @t23 @t36)) % 1.41/1.63 (define @t87 () (not (tptp.s_e @t22 @t23 @t22 @t36))) % 1.41/1.63 (define @t88 () (not (tptp.s_e @t20 @t23 @t20 @t36))) % 1.41/1.63 (define @t89 () (tptp.s_t @t20 @t23 @t22)) % 1.41/1.63 (define @t90 () (tptp.insert @t20 @t22 @t23 @t29)) % 1.41/1.63 (define @t91 () (tptp.ins @t23 @t29 @t20 @t22)) % 1.41/1.63 (define @t92 () (tptp.le @t20 @t22 @t23 @t29)) % 1.41/1.63 (define @t93 () (not @t92)) % 1.41/1.63 (define @t94 () (or @t93 (= @t91 (tptp.ext @t20 @t22 @t90 @t29)))) % 1.41/1.63 (define @t95 () (or @t93 (tptp.s_e @t20 @t91 @t23 @t29))) % 1.41/1.63 (define @t96 () (or @t93 (tptp.s_t @t20 @t22 @t91))) % 1.41/1.63 (define @t97 () (forall @t32 (and @t96 @t95 @t94))) % 1.41/1.63 (define @t98 () (forall @t32 (or @t93 (not (tptp.le @t23 @t29 @t20 @t22)) @t30))) % 1.41/1.63 (define @t99 () (@var "Zd" $$unsorted)) % 1.41/1.63 (define @t100 () (@var "Zc" $$unsorted)) % 1.41/1.63 (define @t101 () (@var "Zb" $$unsorted)) % 1.41/1.63 (define @t102 () (@var "Za" $$unsorted)) % 1.41/1.63 (define @t103 () (tptp.s_afs @t20 @t22 @t23 @t29 @t102 @t101 @t100 @t99)) % 1.41/1.63 (define @t104 () (tptp.s_e @t22 @t29 @t101 @t99)) % 1.41/1.63 (define @t105 () (tptp.s_e @t20 @t29 @t102 @t99)) % 1.41/1.63 (define @t106 () (not @t105)) % 1.41/1.63 (define @t107 () (tptp.s_e @t22 @t23 @t101 @t100)) % 1.41/1.63 (define @t108 () (not @t107)) % 1.41/1.63 (define @t109 () (tptp.s_e @t20 @t22 @t102 @t101)) % 1.41/1.63 (define @t110 () (tptp.s_t @t102 @t101 @t100)) % 1.41/1.63 (define @t111 () (not @t110)) % 1.41/1.63 (define @t112 () (not @t103)) % 1.41/1.63 (define @t113 () (@list @t20 @t22 @t23 @t29 @t102 @t101 @t100 @t99)) % 1.41/1.63 (define @t114 () (tptp.s_ifs @t20 @t22 @t23 @t29 @t102 @t101 @t100 @t99)) % 1.41/1.63 (define @t115 () (tptp.s_e @t23 @t29 @t100 @t99)) % 1.41/1.63 (define @t116 () (tptp.s_e @t20 @t23 @t102 @t100)) % 1.41/1.63 (define @t117 () (not @t114)) % 1.41/1.63 (define @t118 () (@var "Xb3" $$unsorted)) % 1.41/1.63 (define @t119 () (@var "Xb2" $$unsorted)) % 1.41/1.63 (define @t120 () (@var "Xa3" $$unsorted)) % 1.41/1.63 (define @t121 () (@var "Xa2" $$unsorted)) % 1.41/1.63 (define @t122 () (tptp.s_e3 @t37 @t121 @t120 @t39 @t119 @t118)) % 1.41/1.63 (define @t123 () (tptp.s_e @t121 @t120 @t119 @t118)) % 1.41/1.63 (define @t124 () (tptp.s_e @t37 @t120 @t39 @t118)) % 1.41/1.63 (define @t125 () (tptp.s_e @t37 @t121 @t39 @t119)) % 1.41/1.63 (define @t126 () (not @t122)) % 1.41/1.63 (define @t127 () (tptp.s_t @t23 @t20 @t22)) % 1.41/1.63 (define @t128 () (tptp.s_t @t22 @t23 @t20)) % 1.41/1.63 (define @t129 () (tptp.s_e @t20 @t29 @t37 @t70)) % 1.41/1.63 (define @t130 () (or (not (tptp.s_t @t23 @t2 @t29)) (not (tptp.s_e @t20 @t22 @t23 @t2)) @t92)) % 1.41/1.63 (define @t131 () (or @t93 (tptp.s_e @t20 @t22 @t23 @t90))) % 1.41/1.63 (define @t132 () (or @t93 (tptp.s_t @t23 @t90 @t29))) % 1.41/1.63 (define @t133 () (@list @t20 @t22 @t23 @t29 @t2)) % 1.41/1.63 (define @t134 () (forall @t133 (and @t132 @t131 @t130))) % 1.41/1.63 (define @t135 () (@quantifiers_skolemize @t98 1)) % 1.41/1.63 (define @t136 () (@quantifiers_skolemize @t98 0)) % 1.41/1.63 (define @t137 () (@list @t136 @t135 @t136 @t135)) % 1.41/1.63 (define @t138 () (tptp.insert @t136 @t135 @t136 @t135)) % 1.41/1.63 (define @t139 () (@var "BOUND_VARIABLE_8699" $$unsorted)) % 1.41/1.63 (define @t140 () (@var "BOUND_VARIABLE_8697" $$unsorted)) % 1.41/1.63 (define @t141 () (@var "BOUND_VARIABLE_8695" $$unsorted)) % 1.41/1.63 (define @t142 () (@var "BOUND_VARIABLE_8693" $$unsorted)) % 1.41/1.63 (define @t143 () (@var "BOUND_VARIABLE_8701" $$unsorted)) % 1.41/1.63 (define @t144 () (forall (@list @t142 @t141 @t140 @t139 @t143) (or (not (tptp.s_t @t140 @t143 @t139)) (not (tptp.s_e @t142 @t141 @t140 @t143)) (tptp.le @t142 @t141 @t140 @t139)))) % 1.41/1.63 (define @t145 () (@var "BOUND_VARIABLE_8682" $$unsorted)) % 1.41/1.63 (define @t146 () (@var "BOUND_VARIABLE_8680" $$unsorted)) % 1.41/1.63 (define @t147 () (@var "BOUND_VARIABLE_8678" $$unsorted)) % 1.41/1.63 (define @t148 () (@var "BOUND_VARIABLE_8676" $$unsorted)) % 1.41/1.63 (define @t149 () (or (not (tptp.le @t148 @t147 @t146 @t145)) (tptp.s_e @t148 @t147 @t146 (tptp.insert @t148 @t147 @t146 @t145)))) % 1.41/1.63 (define @t150 () (@var "BOUND_VARIABLE_8684" $$unsorted)) % 1.41/1.63 (define @t151 () (forall (@list @t148 @t147 @t146 @t145 @t150) @t149)) % 1.41/1.63 (define @t152 () (@var "BOUND_VARIABLE_8665" $$unsorted)) % 1.41/1.63 (define @t153 () (@var "BOUND_VARIABLE_8663" $$unsorted)) % 1.41/1.63 (define @t154 () (@var "BOUND_VARIABLE_8661" $$unsorted)) % 1.41/1.63 (define @t155 () (@var "BOUND_VARIABLE_8659" $$unsorted)) % 1.41/1.63 (define @t156 () (or (not (tptp.le @t155 @t154 @t153 @t152)) (tptp.s_t @t153 (tptp.insert @t155 @t154 @t153 @t152) @t152))) % 1.41/1.63 (define @t157 () (@var "BOUND_VARIABLE_8667" $$unsorted)) % 1.41/1.63 (define @t158 () (forall (@list @t155 @t154 @t153 @t152 @t157) @t156)) % 1.41/1.63 (define @t159 () (forall @t133 @t130)) % 1.41/1.63 (define @t160 () (@list @t20 @t22 @t23 @t29 @t2)) % 1.41/1.63 (define @t161 () (forall @t133 @t131)) % 1.41/1.63 (define @t162 () (forall @t133 @t132)) % 1.41/1.63 (define @t163 () (and @t162 @t161 @t159)) % 1.41/1.63 (define @t164 () (@quantifiers_skolemize @t98 3)) % 1.41/1.63 (define @t165 () (@quantifiers_skolemize @t98 2)) % 1.41/1.63 (define @t166 () (tptp.le @t165 @t164 @t136 @t135)) % 1.41/1.63 (define @t167 () (tptp.s_e @t136 @t135 @t165 @t164)) % 1.41/1.63 (define @t168 () (not @t166)) % 1.41/1.63 (define @t169 () (tptp.le @t136 @t135 @t165 @t164)) % 1.41/1.63 (define @t170 () (not @t169)) % 1.41/1.63 (define @t171 () (or @t170 @t168 @t167)) % 1.41/1.63 (define @t172 () (@list true)) % 1.41/1.63 (define @t173 () (@list @t171)) % 1.41/1.63 (define @t174 () (tptp.le @t136 @t135 @t136 @t135)) % 1.41/1.63 (define @t175 () (or @t170 @t168 @t174)) % 1.41/1.63 (define @t176 () (@list false false false)) % 1.41/1.63 (define @t177 () (tptp.s_e @t136 @t135 @t136 @t138)) % 1.41/1.63 (define @t178 () (not @t174)) % 1.41/1.63 (define @t179 () (or @t178 @t177)) % 1.41/1.63 (define @t180 () (@list false false)) % 1.41/1.63 (define @t181 () (tptp.s_e @t135 @t136 @t136 @t138)) % 1.41/1.63 (define @t182 () (not @t177)) % 1.41/1.63 (define @t183 () (or @t182 @t181)) % 1.41/1.63 (define @t184 () (tptp.ext @t135 @t136 tptp.alpha tptp.gamma)) % 1.41/1.63 (define @t185 () (forall @t14 @t12)) % 1.41/1.63 (define @t186 () (@list @t1 @t2 @t10 @t6)) % 1.41/1.63 (define @t187 () (forall @t14 @t13)) % 1.41/1.63 (define @t188 () (and @t187 @t185)) % 1.41/1.63 (define @t189 () (@list @t135 @t136 tptp.alpha tptp.gamma)) % 1.41/1.63 (define @t190 () (tptp.s_t @t184 @t136 @t135)) % 1.41/1.63 (define @t191 () (tptp.s_t @t135 @t136 @t184)) % 1.41/1.63 (define @t192 () (not @t191)) % 1.41/1.63 (define @t193 () (or @t192 @t190)) % 1.41/1.63 (define @t194 () (tptp.ins @t136 @t135 @t165 @t164)) % 1.41/1.63 (define @t195 () (forall @t32 @t94)) % 1.41/1.63 (define @t196 () (@list @t20 @t22 @t23 @t29)) % 1.41/1.63 (define @t197 () (forall @t32 @t95)) % 1.41/1.63 (define @t198 () (forall @t32 @t96)) % 1.41/1.63 (define @t199 () (and @t198 @t197 @t195)) % 1.41/1.63 (define @t200 () (@list @t165 @t164 @t136 @t135)) % 1.41/1.63 (define @t201 () (tptp.s_e @t165 @t194 @t136 @t135)) % 1.41/1.63 (define @t202 () (or @t168 @t201)) % 1.41/1.63 (define @t203 () (tptp.s_e @t136 @t135 @t136 @t135)) % 1.41/1.63 (define @t204 () (not @t201)) % 1.41/1.63 (define @t205 () (or @t204 @t204 @t203)) % 1.41/1.63 (define @t206 () (tptp.ext @t184 @t136 @t136 @t135)) % 1.41/1.63 (define @t207 () (= @t135 @t206)) % 1.41/1.63 (define @t208 () (not @t203)) % 1.41/1.63 (define @t209 () (not @t190)) % 1.41/1.63 (define @t210 () (= @t136 @t184)) % 1.41/1.63 (define @t211 () (or @t210 @t209 @t208 @t207)) % 1.41/1.63 (define @t212 () (tptp.insert @t165 @t164 @t136 @t135)) % 1.41/1.63 (define @t213 () (tptp.insert @t136 @t135 @t136 @t212)) % 1.41/1.63 (define @t214 () (forall @t77 @t75)) % 1.41/1.63 (define @t215 () (@list @t20 @t22 @t23 @t37 @t36)) % 1.41/1.63 (define @t216 () (forall @t77 @t76)) % 1.41/1.63 (define @t217 () (and @t216 @t214)) % 1.41/1.63 (define @t218 () (tptp.ins @t165 @t164 @t136 @t135)) % 1.41/1.63 (define @t219 () (tptp.s_e @t165 @t164 @t136 @t212)) % 1.41/1.63 (define @t220 () (or @t168 @t219)) % 1.41/1.63 (define @t221 () (@list @t136 @t135 @t165 @t164)) % 1.41/1.63 (define @t222 () (tptp.s_e @t136 @t218 @t165 @t164)) % 1.41/1.63 (define @t223 () (or @t170 @t222)) % 1.41/1.63 (define @t224 () (tptp.s_e @t136 @t218 @t136 @t212)) % 1.41/1.63 (define @t225 () (not @t219)) % 1.41/1.63 (define @t226 () (not @t222)) % 1.41/1.63 (define @t227 () (or @t226 @t225 @t224)) % 1.41/1.63 (define @t228 () (tptp.s_t @t136 @t135 @t218)) % 1.41/1.63 (define @t229 () (or @t170 @t228)) % 1.41/1.63 (define @t230 () (tptp.s_t @t136 @t213 @t212)) % 1.41/1.63 (define @t231 () (not @t224)) % 1.41/1.63 (define @t232 () (not @t228)) % 1.41/1.63 (define @t233 () (or @t232 @t231 @t230)) % 1.41/1.63 (define @t234 () (tptp.s_t @t212 @t213 @t136)) % 1.41/1.63 (define @t235 () (not @t230)) % 1.41/1.63 (define @t236 () (or @t235 @t234)) % 1.41/1.63 (define @t237 () (tptp.ext @t184 @t136 @t165 @t164)) % 1.41/1.63 (define @t238 () (tptp.s_t @t237 @t136 @t184)) % 1.41/1.63 (define @t239 () (tptp.s_t @t184 @t136 @t237)) % 1.41/1.63 (define @t240 () (not @t239)) % 1.41/1.63 (define @t241 () (or @t240 @t238)) % 1.41/1.63 (define @t242 () (tptp.s_t @t212 @t136 @t184)) % 1.41/1.63 (define @t243 () (tptp.s_e @t164 @t165 @t212 @t212)) % 1.41/1.63 (define @t244 () (not @t243)) % 1.41/1.63 (define @t245 () (or @t244 (= @t164 @t165))) % 1.41/1.63 (define @t246 () (= @t165 @t164)) % 1.41/1.63 (define @t247 () (or @t244 @t246)) % 1.41/1.63 (define @t248 () (@list false)) % 1.41/1.63 (define @t249 () (@list @t9)) % 1.41/1.63 (define @t250 () (tptp.insert @t136 @t135 @t165 @t164)) % 1.41/1.63 (define @t251 () (tptp.s_e @t136 @t135 @t165 @t250)) % 1.41/1.63 (define @t252 () (or @t170 @t251)) % 1.41/1.63 (define @t253 () (tptp.s_e @t135 @t136 @t250 @t165)) % 1.41/1.63 (define @t254 () (not @t251)) % 1.41/1.63 (define @t255 () (or @t254 @t253)) % 1.41/1.63 (define @t256 () (= @t165 @t250)) % 1.41/1.63 (define @t257 () (tptp.s_e @t135 @t136 @t250 @t250)) % 1.41/1.63 (define @t258 () (and @t253 @t256)) % 1.41/1.63 (define @t259 () (tptp.s_e @t165 @t194 @t165 @t250)) % 1.41/1.63 (define @t260 () (or @t204 @t254 @t259)) % 1.41/1.63 (define @t261 () (tptp.s_e @t165 @t194 @t250 @t250)) % 1.41/1.63 (define @t262 () (and @t259 @t256)) % 1.41/1.63 (define @t263 () (not @t257)) % 1.41/1.63 (define @t264 () (or @t263 (= @t135 @t136))) % 1.41/1.63 (define @t265 () (= @t136 @t135)) % 1.41/1.63 (define @t266 () (or @t263 @t265)) % 1.41/1.63 (define @t267 () (= @t165 @t194)) % 1.41/1.63 (define @t268 () (not @t261)) % 1.41/1.63 (define @t269 () (or @t268 @t267)) % 1.41/1.63 (define @t270 () (tptp.s_t @t136 @t212 @t135)) % 1.41/1.63 (define @t271 () (or @t168 @t270)) % 1.41/1.63 (define @t272 () (tptp.s_t @t212 @t135 @t135)) % 1.41/1.63 (define @t273 () (not @t270)) % 1.41/1.63 (define @t274 () (= @t136 @t212)) % 1.41/1.63 (define @t275 () (or @t274 @t273 @t273 @t272 @t272)) % 1.41/1.63 (define @t276 () (tptp.s_t @t136 @t135 @t135)) % 1.41/1.63 (define @t277 () (or @t232 @t232 @t276 @t276)) % 1.41/1.63 (define @t278 () (not @t276)) % 1.41/1.63 (define @t279 () (not @t274)) % 1.41/1.63 (define @t280 () (not @t272)) % 1.41/1.63 (define @t281 () (= false true)) % 1.41/1.63 (define @t282 () (and @t276 @t274 @t280)) % 1.41/1.63 (define @t283 () (tptp.s_t @t212 @t135 @t136)) % 1.41/1.63 (define @t284 () (tptp.s_t @t212 @t136 @t135)) % 1.41/1.63 (define @t285 () (and @t265 @t272)) % 1.41/1.63 (define @t286 () (not @t265)) % 1.41/1.63 (define @t287 () (@list @t165 @t250 @t164)) % 1.41/1.63 (define @t288 () (tptp.s_t @t165 @t250 @t164)) % 1.41/1.63 (define @t289 () (or @t170 @t288)) % 1.41/1.63 (define @t290 () (tptp.s_t @t164 @t250 @t165)) % 1.41/1.63 (define @t291 () (not @t288)) % 1.41/1.63 (define @t292 () (or @t291 @t290)) % 1.41/1.63 (define @t293 () (tptp.s_t @t164 @t165 @t194)) % 1.41/1.63 (define @t294 () (and @t290 @t256 @t267)) % 1.41/1.63 (define @t295 () (not @t256)) % 1.41/1.63 (define @t296 () (@list @t136 @t212 @t135)) % 1.41/1.63 (define @t297 () (not @t284)) % 1.41/1.63 (define @t298 () (or @t273 @t297 @t274)) % 1.41/1.63 (define @t299 () (tptp.s_t @t165 @t164 @t194)) % 1.41/1.63 (define @t300 () (or @t168 @t299)) % 1.41/1.63 (define @t301 () (not @t293)) % 1.41/1.63 (define @t302 () (not @t299)) % 1.41/1.63 (define @t303 () (or @t302 @t301 @t246)) % 1.41/1.63 (define @t304 () (tptp.s_e @t136 @t135 @t164 @t165)) % 1.41/1.63 (define @t305 () (not @t304)) % 1.41/1.63 (define @t306 () (or @t305 @t167)) % 1.41/1.63 (define @t307 () (@list true false)) % 1.41/1.63 (define @t308 () (tptp.s_e @t164 @t165 @t136 @t135)) % 1.41/1.63 (define @t309 () (not @t308)) % 1.41/1.63 (define @t310 () (or @t309 @t304)) % 1.41/1.63 (define @t311 () (not @t246)) % 1.41/1.63 (define @t312 () (and @t219 @t274 @t246 @t265 @t309)) % 1.41/1.63 (define @t313 () (tptp.s_t @t250 @t165 @t164)) % 1.41/1.63 (define @t314 () (not @t313)) % 1.41/1.63 (define @t315 () (or @t291 @t314 @t256)) % 1.41/1.63 (define @t316 () (tptp.s_t @t250 @t164 @t164)) % 1.41/1.63 (define @t317 () (or @t256 @t291 @t291 @t316 @t316)) % 1.41/1.63 (define @t318 () (not @t316)) % 1.41/1.63 (define @t319 () (and @t246 @t314)) % 1.41/1.63 (define @t320 () (@list @t165 @t164 @t136 @t212)) % 1.41/1.63 (define @t321 () (tptp.s_e @t164 @t165 @t212 @t136)) % 1.41/1.63 (define @t322 () (or @t225 @t321)) % 1.41/1.63 (define @t323 () (not @t321)) % 1.41/1.63 (define @t324 () (and @t244 @t274 @t321)) % 1.41/1.63 (define @t325 () (tptp.ext @t212 @t136 tptp.alpha tptp.gamma)) % 1.41/1.63 (define @t326 () (= @t184 @t325)) % 1.41/1.63 (define @t327 () (tptp.s_e @t136 @t184 tptp.alpha tptp.gamma)) % 1.41/1.63 (define @t328 () (not @t327)) % 1.41/1.63 (define @t329 () (not @t242)) % 1.41/1.63 (define @t330 () (or @t274 @t329 @t328 @t326)) % 1.41/1.63 (define @t331 () (= @t138 @t206)) % 1.41/1.63 (define @t332 () (= @t213 (tptp.ext @t325 @t136 @t136 @t135))) % 1.41/1.63 (define @t333 () (and @t331 @t207 @t326 @t234 @t332)) % 1.41/1.63 (define @t334 () (not @t207)) % 1.41/1.63 (define @t335 () (not @t331)) % 1.41/1.63 (define @t336 () (tptp.s_t @t135 @t212 @t136)) % 1.41/1.63 (define @t337 () (or @t273 @t336)) % 1.41/1.63 (define @t338 () (= @t135 @t212)) % 1.41/1.63 (define @t339 () (not @t283)) % 1.41/1.63 (define @t340 () (not @t336)) % 1.41/1.63 (define @t341 () (or @t340 @t339 @t338)) % 1.41/1.63 (define @t342 () (tptp.s_e @t165 @t194 @t135 @t136)) % 1.41/1.63 (define @t343 () (or @t204 @t342)) % 1.41/1.63 (define @t344 () (tptp.s_e @t135 @t136 @t136 @t135)) % 1.41/1.63 (define @t345 () (not @t342)) % 1.41/1.63 (define @t346 () (or @t345 @t204 @t344)) % 1.41/1.63 (define @t347 () (tptp.s_e @t136 @t212 @t165 @t164)) % 1.41/1.63 (define @t348 () (or @t225 @t347)) % 1.41/1.63 (define @t349 () (tptp.s_e @t165 @t164 @t136 @t135)) % 1.41/1.63 (define @t350 () (not @t349)) % 1.41/1.63 (define @t351 () (or @t350 @t167)) % 1.41/1.63 (define @t352 () (not (tptp.s_e @t136 @t212 @t136 @t135))) % 1.41/1.63 (define @t353 () (not @t347)) % 1.41/1.63 (define @t354 () (or @t353 @t352 @t349)) % 1.41/1.63 (define @t355 () (@list true false false)) % 1.41/1.63 (define @t356 () (tptp.s_e @t136 @t212 @t136 @t138)) % 1.41/1.63 (define @t357 () (not (tptp.s_e @t136 @t138 @t136 @t212))) % 1.41/1.63 (define @t358 () (or @t357 @t356)) % 1.41/1.63 (define @t359 () (tptp.s_e @t136 @t135 @t136 @t212)) % 1.41/1.63 (define @t360 () (tptp.s_e @t135 @t136 @t136 @t212)) % 1.41/1.63 (define @t361 () (not @t360)) % 1.41/1.63 (define @t362 () (not @t344)) % 1.41/1.63 (define @t363 () (or @t362 @t361 @t359)) % 1.41/1.63 (define @t364 () (and @t338 @t181 @t331 @t207)) % 1.41/1.63 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 1.41/1.63 (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)))) % 1.41/1.63 (assume @p3 @t9) % 1.41/1.63 (assume @p4 @t15) % 1.41/1.63 (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)))) % 1.41/1.63 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 1.41/1.63 (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))))) % 1.41/1.63 (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)))) % 1.41/1.63 (assume @p9 (forall @t28 (tptp.s_e @t20 @t22 @t20 @t22))) % 1.41/1.63 (assume @p10 (forall @t32 (or @t31 (tptp.s_e @t23 @t29 @t20 @t22)))) % 1.41/1.63 (assume @p11 (forall @t35 (or @t31 (not (tptp.s_e @t23 @t29 @t34 @t33)) (tptp.s_e @t20 @t22 @t34 @t33)))) % 1.41/1.63 (assume @p12 (forall @t32 (or @t31 (tptp.s_e @t22 @t20 @t23 @t29)))) % 1.41/1.63 (assume @p13 (forall @t32 (or @t31 (tptp.s_e @t20 @t22 @t29 @t23)))) % 1.41/1.63 (assume @p14 (forall @t28 (tptp.s_e @t20 @t20 @t22 @t22))) % 1.41/1.63 (assume @p15 (forall @t47 (or @t46 @t44 @t42 @t40 @t38))) % 1.41/1.63 (assume @p16 @t52) % 1.41/1.63 (assume @p17 (forall (@list @t22 @t23 @t20) (or (not (tptp.s_e @t22 @t23 @t20 @t20)) @t53))) % 1.41/1.63 (assume @p18 (forall @t32 (or @t31 (tptp.s_e @t22 @t20 @t29 @t23)))) % 1.41/1.63 (assume @p19 (forall (@list @t20 @t22 @t23 @t55 @t56 @t54) (or @t46 (not (tptp.s_t @t55 @t56 @t54)) (not (tptp.s_e @t20 @t22 @t56 @t54)) (not (tptp.s_e @t22 @t23 @t55 @t56)) (tptp.s_e @t20 @t23 @t55 @t54)))) % 1.41/1.63 (assume @p20 (forall @t28 (tptp.s_t @t20 @t22 @t22))) % 1.41/1.63 (assume @p21 (forall @t57 (or @t46 (tptp.s_t @t23 @t22 @t20)))) % 1.41/1.63 (assume @p22 (forall (@list @t37 @t39) (tptp.s_t @t37 @t37 @t39))) % 1.41/1.63 (assume @p23 (forall @t57 (or @t46 (not (tptp.s_t @t22 @t20 @t23)) @t58))) % 1.41/1.63 (assume @p24 (forall @t63 (or @t62 @t60 @t45))) % 1.41/1.63 (assume @p25 (forall @t32 (or @t46 @t65 @t59))) % 1.41/1.63 (assume @p26 (forall @t32 (or @t46 @t60 @t53 @t64))) % 1.41/1.63 (assume @p27 (forall @t63 (or @t62 @t60 @t64))) % 1.41/1.63 (assume @p28 (forall @t32 (or @t46 @t65 @t61))) % 1.41/1.63 (assume @p29 (forall @t32 (or @t46 @t60 @t53 @t61))) % 1.41/1.63 (assume @p30 (not (= tptp.alpha tptp.beta))) % 1.41/1.63 (assume @p31 (not (= tptp.beta tptp.gamma))) % 1.41/1.63 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 1.41/1.63 (assume @p33 (forall @t28 (tptp.s_t @t20 @t22 @t66))) % 1.41/1.63 (assume @p34 (forall (@list @t22 @t20) (not (= @t22 @t66)))) % 1.41/1.63 (assume @p35 (forall (@list @t20 @t22 @t23 @t37 @t39 @t24) (and (or @t46 @t69 @t68 (tptp.s_t @t24 @t67 @t23)) (or @t46 @t69 @t68 (tptp.s_t @t22 @t67 @t39))))) % 1.41/1.63 (assume @p36 (forall @t72 (or (not (tptp.s_ifs @t20 @t22 @t23 @t29 @t37 @t39 @t36 @t70)) @t71))) % 1.41/1.63 (assume @p37 (forall @t47 (or @t46 @t44 @t73 @t40 @t41))) % 1.41/1.63 (assume @p38 @t78) % 1.41/1.63 (assume @p39 (forall @t47 (or @t46 @t80 @t43))) % 1.41/1.63 (assume @p40 (forall @t57 (or @t82 (tptp.s_col @t22 @t23 @t20)))) % 1.41/1.63 (assume @p41 (forall @t57 (or @t82 (tptp.s_col @t23 @t20 @t22)))) % 1.41/1.63 (assume @p42 (forall @t57 (or @t82 (tptp.s_col @t23 @t22 @t20)))) % 1.41/1.63 (assume @p43 (forall @t57 (or @t82 (tptp.s_col @t22 @t20 @t23)))) % 1.41/1.63 (assume @p44 (forall @t57 (or @t82 (tptp.s_col @t20 @t23 @t22)))) % 1.41/1.63 (assume @p45 (forall @t28 (tptp.s_col @t20 @t20 @t22))) % 1.41/1.63 (assume @p46 (forall @t28 (tptp.s_col @t20 @t22 @t20))) % 1.41/1.63 (assume @p47 (forall @t47 (or @t82 @t80 (tptp.s_col @t37 @t39 @t36)))) % 1.41/1.63 (assume @p48 (forall (@list @t20 @t22 @t23 @t37 @t39) (or @t82 @t42 (tptp.s_e3 @t20 @t22 @t23 @t37 @t39 (tptp.insert5 @t20 @t22 @t23 @t37 @t39))))) % 1.41/1.63 (assume @p49 (forall @t72 (or @t85 @t58 @t83))) % 1.41/1.63 (assume @p50 (forall (@list @t20 @t22 @t23 @t24 @t21) (or @t58 @t82 (not (tptp.s_e @t20 @t24 @t20 @t21)) (not (tptp.s_e @t22 @t24 @t22 @t21)) (tptp.s_e @t23 @t24 @t23 @t21)))) % 1.41/1.63 (assume @p51 (forall (@list @t20 @t22 @t23 @t36) (or @t58 @t82 @t88 @t87 @t86))) % 1.41/1.63 (assume @p52 (forall (@list @t20 @t23 @t22 @t36) (or (not @t89) @t88 @t87 @t86))) % 1.41/1.63 (assume @p53 (forall @t32 (or @t58 @t46 @t62 @t64 (tptp.s_t @t20 @t29 @t23)))) % 1.41/1.63 (assume @p54 (forall @t32 (or @t58 @t46 @t62 @t59 (tptp.s_t @t22 @t29 @t23)))) % 1.41/1.63 (assume @p55 (forall @t63 (or @t62 @t65 @t45 @t89))) % 1.41/1.63 (assume @p56 @t97) % 1.41/1.63 (assume @p57 (forall (@list @t20 @t22 @t23 @t29 @t34) (or @t92 (not (tptp.s_t @t20 @t22 @t34)) (not (tptp.s_e @t20 @t34 @t23 @t29))))) % 1.41/1.63 (assume @p58 (forall @t72 (or @t93 @t42 (not @t83) (tptp.le @t37 @t39 @t36 @t70)))) % 1.41/1.63 (assume @p59 (forall @t28 (tptp.le @t20 @t22 @t20 @t22))) % 1.41/1.63 (assume @p60 (forall @t35 (or @t93 (not (tptp.le @t23 @t29 @t34 @t33)) (tptp.le @t20 @t22 @t34 @t33)))) % 1.41/1.63 (assume @p61 (not @t98)) % 1.41/1.63 (assume @p62 (forall (@list @t20 @t22 @t37 @t36) (= @t74 (tptp.ext (tptp.ext @t36 @t37 tptp.alpha tptp.gamma) @t37 @t20 @t22)))) % 1.41/1.63 (assume @p63 (forall @t113 (and (or @t112 @t45) (or @t112 @t110) (or @t112 @t109) (or @t112 @t107) (or @t112 @t105) (or @t112 @t104) (or @t46 @t111 (not @t109) @t108 @t106 (not @t104) @t103)))) % 1.41/1.63 (assume @p64 (forall @t113 (and (or @t117 @t45) (or @t117 @t110) (or @t117 @t116) (or @t117 @t107) (or @t117 @t105) (or @t117 @t115) (or @t46 @t111 (not @t116) @t108 @t106 (not @t115) @t114)))) % 1.41/1.63 (assume @p65 (forall (@list @t37 @t121 @t120 @t39 @t119 @t118) (and (or @t126 @t125) (or @t126 @t124) (or @t126 @t123) (or (not @t125) (not @t124) (not @t123) @t122)))) % 1.41/1.63 (assume @p66 (forall @t57 (and (or @t82 @t45 @t128 @t127) (or @t81 @t46) (or @t81 (not @t128)) (or @t81 (not @t127))))) % 1.41/1.63 (assume @p67 (forall @t72 (and (or @t85 @t81) (or @t85 @t79) (or @t85 @t129) (or @t85 @t71) (or @t82 @t80 (not @t129) (not @t71) @t84)))) % 1.41/1.63 (assume @p68 @t134) % 1.41/1.63 (assume @p69 true) % 1.41/1.63 (step @p70 :rule instantiate :premises (@p62) :args (@t137)) % 1.41/1.63 (step @p71 :rule instantiate :premises (@p12) :args ((@list @t136 @t135 @t136 @t138))) % 1.41/1.63 (step @p72 :rule refl :args (@t144)) % 1.41/1.63 (step @p73 :rule quant-unused-vars :args ((= @t151 (forall (@list @t148 @t147 @t146 @t145) @t149)))) % 1.41/1.63 (step @p74 :rule quant-unused-vars :args ((= @t158 (forall (@list @t155 @t154 @t153 @t152) @t156)))) % 1.41/1.63 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((and @t158 @t151 @t144))) % 1.41/1.63 (step @p76 :rule alpha_equiv :args (@t159 @t160 (@list @t142 @t141 @t140 @t139 @t143))) % 1.41/1.63 (step @p77 :rule alpha_equiv :args (@t161 @t160 (@list @t148 @t147 @t146 @t145 @t150))) % 1.41/1.63 (step @p78 :rule alpha_equiv :args (@t162 @t160 (@list @t155 @t154 @t153 @t152 @t157))) % 1.41/1.63 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t163)) % 1.41/1.63 (step @p80 :rule quant-miniscope-and :args ((= @t134 @t163))) % 1.41/1.63 (step @p81 :rule trans :premises (@p80 @p79)) % 1.41/1.63 (step @p82 :rule trans :premises (@p81 @p75)) % 1.41/1.63 (step @p83 :rule eq_resolve :premises (@p68 @p82)) % 1.41/1.63 (step @p84 :rule and_elim :premises (@p83) :args (1)) % 1.41/1.63 (step @p85 :rule instantiate :premises (@p84) :args (@t137)) % 1.41/1.63 (step @p86 :rule instantiate :premises (@p60) :args ((@list @t136 @t135 @t165 @t164 @t136 @t135))) % 1.41/1.63 (step @p87 :rule skolemize :premises (@p61)) % 1.41/1.63 (step @p88 :rule bool-double-not-elim :args (@t166)) % 1.41/1.63 (step @p89 :rule refl :args (@t171)) % 1.41/1.63 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t171 (not @t168)))) % 1.41/1.63 (step @p91 :rule cnf_or_neg :args (@t171 1)) % 1.41/1.63 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 1.41/1.63 (step @p93 :rule reordering :premises (@p92) :args ((or @t166 @t171))) % 1.41/1.63 (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t166 @t172 @t173)) % 1.41/1.63 (step @p95 :rule bool-double-not-elim :args (@t169)) % 1.41/1.63 (step @p96 :rule nary_cong :premises (@p89 @p95) :args ((or @t171 (not @t170)))) % 1.41/1.63 (step @p97 :rule cnf_or_neg :args (@t171 0)) % 1.41/1.63 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 1.41/1.63 (step @p99 :rule reordering :premises (@p98) :args ((or @t169 @t171))) % 1.41/1.63 (step @p100 :rule chain_m_resolution :premises (@p99 @p87) :args (@t169 @t172 @t173)) % 1.41/1.63 (step @p101 :rule cnf_or_pos :args (@t175)) % 1.41/1.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t170 @t168 @t174 (not @t175)))) % 1.41/1.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p94 @p86) :args (@t174 @t176 (@list @t169 @t166 @t175))) % 1.41/1.63 (step @p104 :rule cnf_or_pos :args (@t179)) % 1.41/1.63 (step @p105 :rule reordering :premises (@p104) :args ((or @t178 @t177 (not @t179)))) % 1.41/1.63 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p85) :args (@t177 @t180 (@list @t174 @t179))) % 1.41/1.63 (step @p107 :rule cnf_or_pos :args (@t183)) % 1.41/1.63 (step @p108 :rule reordering :premises (@p107) :args ((or @t182 @t181 (not @t183)))) % 1.41/1.63 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p71) :args (@t181 @t180 (@list @t177 @t183))) % 1.41/1.63 (step @p110 :rule refl :args (@t48)) % 1.41/1.63 (step @p111 :rule refl :args (@t49)) % 1.41/1.63 (step @p112 :rule refl :args (@t50)) % 1.41/1.63 (step @p113 :rule eq-symm :args (@t21 @t20)) % 1.41/1.63 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110) :args (@t51)) % 1.41/1.63 (step @p115 :rule cong :premises (@p114) :args (@t52)) % 1.41/1.63 (step @p116 :rule eq_resolve :premises (@p16 @p115)) % 1.41/1.63 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t184 @t136 @t135 @t136 @t135))) % 1.41/1.63 (step @p118 :rule instantiate :premises (@p21) :args ((@list @t135 @t136 @t184))) % 1.41/1.63 (step @p119 :rule alpha_equiv :args (@t185 @t186 (@list (@var "BOUND_VARIABLE_7870" $$unsorted) (@var "BOUND_VARIABLE_7872" $$unsorted) (@var "BOUND_VARIABLE_7874" $$unsorted) (@var "BOUND_VARIABLE_7876" $$unsorted)))) % 1.41/1.63 (step @p120 :rule alpha_equiv :args (@t187 @t186 (@list (@var "BOUND_VARIABLE_7858" $$unsorted) (@var "BOUND_VARIABLE_7860" $$unsorted) (@var "BOUND_VARIABLE_7862" $$unsorted) (@var "BOUND_VARIABLE_7864" $$unsorted)))) % 1.41/1.63 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t188)) % 1.41/1.63 (step @p122 :rule quant-miniscope-and :args ((= @t15 @t188))) % 1.41/1.63 (step @p123 :rule trans :premises (@p122 @p121)) % 1.41/1.63 (step @p124 :rule eq_resolve :premises (@p4 @p123)) % 1.41/1.63 (step @p125 :rule and_elim :premises (@p124) :args (0)) % 1.41/1.63 (step @p126 :rule instantiate :premises (@p125) :args (@t189)) % 1.41/1.63 (step @p127 :rule cnf_or_pos :args (@t193)) % 1.41/1.63 (step @p128 :rule reordering :premises (@p127) :args ((or @t192 @t190 (not @t193)))) % 1.41/1.63 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p118) :args (@t190 @t180 (@list @t191 @t193))) % 1.41/1.63 (step @p130 :rule instantiate :premises (@p34) :args ((@list @t136 @t135))) % 1.41/1.63 (step @p131 :rule instantiate :premises (@p2) :args ((@list @t165 @t194 @t136 @t135 @t136 @t135))) % 1.41/1.63 (step @p132 :rule alpha_equiv :args (@t195 @t196 (@list (@var "BOUND_VARIABLE_8056" $$unsorted) (@var "BOUND_VARIABLE_8058" $$unsorted) (@var "BOUND_VARIABLE_8060" $$unsorted) (@var "BOUND_VARIABLE_8062" $$unsorted)))) % 1.41/1.63 (step @p133 :rule alpha_equiv :args (@t197 @t196 (@list (@var "BOUND_VARIABLE_8041" $$unsorted) (@var "BOUND_VARIABLE_8043" $$unsorted) (@var "BOUND_VARIABLE_8045" $$unsorted) (@var "BOUND_VARIABLE_8047" $$unsorted)))) % 1.41/1.63 (step @p134 :rule alpha_equiv :args (@t198 @t196 (@list (@var "BOUND_VARIABLE_8026" $$unsorted) (@var "BOUND_VARIABLE_8028" $$unsorted) (@var "BOUND_VARIABLE_8030" $$unsorted) (@var "BOUND_VARIABLE_8032" $$unsorted)))) % 1.41/1.63 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132) :args (@t199)) % 1.41/1.63 (step @p136 :rule quant-miniscope-and :args ((= @t97 @t199))) % 1.41/1.63 (step @p137 :rule trans :premises (@p136 @p135)) % 1.41/1.63 (step @p138 :rule eq_resolve :premises (@p56 @p137)) % 1.41/1.63 (step @p139 :rule and_elim :premises (@p138) :args (1)) % 1.41/1.63 (step @p140 :rule instantiate :premises (@p139) :args (@t200)) % 1.41/1.63 (step @p141 :rule cnf_or_pos :args (@t202)) % 1.41/1.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t168 @t201 (not @t202)))) % 1.41/1.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p94 @p140) :args (@t201 @t180 (@list @t166 @t202))) % 1.41/1.63 (step @p144 :rule cnf_or_pos :args (@t205)) % 1.41/1.63 (step @p145 :rule factoring :premises (@p144)) % 1.41/1.63 (step @p146 :rule reordering :premises (@p145) :args ((or @t204 @t203 (not @t205)))) % 1.41/1.63 (step @p147 :rule chain_m_resolution :premises (@p146 @p143 @p131) :args (@t203 @t180 (@list @t201 @t205))) % 1.41/1.63 (step @p148 :rule cnf_or_pos :args (@t211)) % 1.41/1.63 (step @p149 :rule reordering :premises (@p148) :args ((or @t208 @t210 @t209 @t207 (not @t211)))) % 1.41/1.63 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p130 @p129 @p117) :args (@t207 (@list false true false false) (@list @t203 @t210 @t190 @t211))) % 1.41/1.63 (step @p151 :rule instantiate :premises (@p23) :args ((@list @t135 @t212 @t136))) % 1.41/1.63 (step @p152 :rule instantiate :premises (@p62) :args ((@list @t136 @t135 @t136 @t212))) % 1.41/1.63 (step @p153 :rule instantiate :premises (@p21) :args ((@list @t136 @t213 @t212))) % 1.41/1.63 (step @p154 :rule alpha_equiv :args (@t214 @t215 (@list (@var "BOUND_VARIABLE_8005" $$unsorted) (@var "BOUND_VARIABLE_8007" $$unsorted) (@var "BOUND_VARIABLE_8009" $$unsorted) (@var "BOUND_VARIABLE_8011" $$unsorted) (@var "BOUND_VARIABLE_8013" $$unsorted)))) % 1.41/1.63 (step @p155 :rule alpha_equiv :args (@t216 @t215 (@list (@var "BOUND_VARIABLE_7986" $$unsorted) (@var "BOUND_VARIABLE_7988" $$unsorted) (@var "BOUND_VARIABLE_7990" $$unsorted) (@var "BOUND_VARIABLE_7992" $$unsorted) (@var "BOUND_VARIABLE_7994" $$unsorted)))) % 1.41/1.63 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t217)) % 1.41/1.63 (step @p157 :rule quant-miniscope-and :args ((= @t78 @t217))) % 1.41/1.63 (step @p158 :rule trans :premises (@p157 @p156)) % 1.41/1.63 (step @p159 :rule eq_resolve :premises (@p38 @p158)) % 1.41/1.63 (step @p160 :rule and_elim :premises (@p159) :args (0)) % 1.41/1.63 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t136 @t135 @t218 @t136 @t212))) % 1.41/1.63 (step @p162 :rule instantiate :premises (@p11) :args ((@list @t136 @t218 @t165 @t164 @t136 @t212))) % 1.41/1.63 (step @p163 :rule instantiate :premises (@p84) :args (@t200)) % 1.41/1.63 (step @p164 :rule cnf_or_pos :args (@t220)) % 1.41/1.63 (step @p165 :rule reordering :premises (@p164) :args ((or @t168 @t219 (not @t220)))) % 1.41/1.63 (step @p166 :rule chain_m_resolution :premises (@p165 @p94 @p163) :args (@t219 @t180 (@list @t166 @t220))) % 1.41/1.63 (step @p167 :rule instantiate :premises (@p139) :args (@t221)) % 1.41/1.63 (step @p168 :rule cnf_or_pos :args (@t223)) % 1.41/1.63 (step @p169 :rule reordering :premises (@p168) :args ((or @t170 @t222 (not @t223)))) % 1.41/1.63 (step @p170 :rule chain_m_resolution :premises (@p169 @p100 @p167) :args (@t222 @t180 (@list @t169 @t223))) % 1.41/1.63 (step @p171 :rule cnf_or_pos :args (@t227)) % 1.41/1.63 (step @p172 :rule reordering :premises (@p171) :args ((or @t226 @t225 @t224 (not @t227)))) % 1.41/1.63 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p166 @p162) :args (@t224 @t176 (@list @t222 @t219 @t227))) % 1.41/1.63 (step @p174 :rule and_elim :premises (@p138) :args (0)) % 1.41/1.63 (step @p175 :rule instantiate :premises (@p174) :args (@t221)) % 1.41/1.63 (step @p176 :rule cnf_or_pos :args (@t229)) % 1.41/1.63 (step @p177 :rule reordering :premises (@p176) :args ((or @t170 @t228 (not @t229)))) % 1.41/1.63 (step @p178 :rule chain_m_resolution :premises (@p177 @p100 @p175) :args (@t228 @t180 (@list @t169 @t229))) % 1.41/1.63 (step @p179 :rule cnf_or_pos :args (@t233)) % 1.41/1.63 (step @p180 :rule reordering :premises (@p179) :args ((or @t232 @t231 @t230 (not @t233)))) % 1.41/1.63 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p173 @p161) :args (@t230 @t176 (@list @t228 @t224 @t233))) % 1.41/1.63 (step @p182 :rule cnf_or_pos :args (@t236)) % 1.41/1.63 (step @p183 :rule reordering :premises (@p182) :args ((or @t235 @t234 (not @t236)))) % 1.41/1.63 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p153) :args (@t234 @t180 (@list @t230 @t236))) % 1.41/1.63 (step @p185 :rule instantiate :premises (@p116) :args ((@list @t212 @t136 @t184 tptp.alpha tptp.gamma))) % 1.41/1.63 (step @p186 :rule instantiate :premises (@p21) :args ((@list @t184 @t136 @t237))) % 1.41/1.63 (step @p187 :rule instantiate :premises (@p125) :args ((@list @t184 @t136 @t165 @t164))) % 1.41/1.63 (step @p188 :rule cnf_or_pos :args (@t241)) % 1.41/1.63 (step @p189 :rule reordering :premises (@p188) :args ((or @t240 @t238 (not @t241)))) % 1.41/1.63 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p186) :args (@t238 @t180 (@list @t239 @t241))) % 1.41/1.63 (step @p191 :rule true_intro :premises (@p190)) % 1.41/1.63 (step @p192 :rule refl :args (@t184)) % 1.41/1.63 (step @p193 :rule refl :args (@t136)) % 1.41/1.63 (step @p194 :rule instantiate :premises (@p62) :args (@t200)) % 1.41/1.63 (step @p195 :rule cong :premises (@p194 @p193 @p192) :args (@t242)) % 1.41/1.63 (step @p196 :rule trans :premises (@p195 @p191)) % 1.41/1.63 (step @p197 :rule true_elim :premises (@p196)) % 1.41/1.63 (step @p198 :rule and_elim :premises (@p124) :args (1)) % 1.41/1.63 (step @p199 :rule instantiate :premises (@p198) :args (@t189)) % 1.41/1.63 (step @p200 :rule eq-symm :args (@t164 @t165)) % 1.41/1.63 (step @p201 :rule refl :args (@t244)) % 1.41/1.63 (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t245)) % 1.41/1.63 (step @p203 :rule refl :args (@t9)) % 1.41/1.63 (step @p204 :rule cong :premises (@p203 @p202) :args ((=> @t9 @t245))) % 1.41/1.63 (assume-push @p640 @t9) % 1.41/1.63 (step @p206 :rule instantiate :premises (@p3) :args ((@list @t164 @t165 @t212))) % 1.41/1.63 (step-pop @p641 :rule scope :premises (@p206)) % 1.41/1.63 (step @p207 :rule process_scope :premises (@p641) :args (@t245)) % 1.41/1.63 (step @p209 :rule eq_resolve :premises (@p207 @p204)) % 1.41/1.63 (step @p210 :rule implies_elim :premises (@p209)) % 1.41/1.63 (step @p211 :rule chain_m_resolution :premises (@p210 @p3) :args (@t247 @t248 @t249)) % 1.41/1.63 (step @p212 :rule instantiate :premises (@p18) :args ((@list @t136 @t135 @t165 @t250))) % 1.41/1.63 (step @p213 :rule instantiate :premises (@p84) :args (@t221)) % 1.41/1.63 (step @p214 :rule cnf_or_pos :args (@t252)) % 1.41/1.63 (step @p215 :rule reordering :premises (@p214) :args ((or @t170 @t251 (not @t252)))) % 1.41/1.63 (step @p216 :rule chain_m_resolution :premises (@p215 @p100 @p213) :args (@t251 @t180 (@list @t169 @t252))) % 1.41/1.63 (step @p217 :rule cnf_or_pos :args (@t255)) % 1.41/1.63 (step @p218 :rule reordering :premises (@p217) :args ((or @t254 @t253 (not @t255)))) % 1.41/1.63 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p212) :args (@t253 @t180 (@list 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(step @p478 :rule implies_elim :premises (@p475)) % 1.41/1.63 (step @p479 :rule cnf_and_neg :args (@t319)) % 1.41/1.63 (step @p480 :rule resolution :premises (@p479 @p478) :args (true @t319)) % 1.41/1.63 (step @p481 :rule eq_resolve :premises (@p480 @p460)) % 1.41/1.63 (step @p482 :rule reordering :premises (@p481) :args ((or @t313 @t311 @t318))) % 1.41/1.63 (step @p483 :rule chain_m_resolution :premises (@p482 @p457 @p454 @p358 @p453 @p451 @p358) :args ((or @t256 @t311) (@list false false false true false false) (@list @t316 @t317 @t288 @t313 @t315 @t288))) % 1.41/1.63 (step @p484 :rule chain_m_resolution :premises (@p483 @p450) :args (@t311 @t172 (@list @t256))) % 1.41/1.63 (step @p485 :rule cnf_or_pos :args (@t247)) % 1.41/1.63 (step @p486 :rule reordering :premises (@p485) :args ((or @t246 @t244 (not @t247)))) % 1.41/1.63 (step @p487 :rule chain_m_resolution :premises (@p486 @p484 @p211) :args (@t244 @t307 (@list @t246 @t247))) % 1.41/1.63 (step @p488 :rule instantiate :premises (@p18) :args (@t320)) % 1.41/1.63 (step @p489 :rule cnf_or_pos :args (@t322)) % 1.41/1.63 (step @p490 :rule reordering :premises (@p489) :args ((or @t225 @t321 (not @t322)))) % 1.41/1.63 (step @p491 :rule chain_m_resolution :premises (@p490 @p166 @p488) :args (@t321 @t180 (@list @t219 @t322))) % 1.41/1.63 (step @p492 :rule bool-double-not-elim :args (@t243)) % 1.41/1.63 (step @p493 :rule refl :args (@t323)) % 1.41/1.63 (step @p494 :rule nary_cong :premises (@p493 @p300 @p492) :args ((or @t323 @t279 (not @t244)))) % 1.41/1.63 (assume-push @p720 @t244) % 1.41/1.63 (assume-push @p721 @t274) % 1.41/1.63 (assume-push @p722 @t321) % 1.41/1.63 (step @p498 :rule evaluate :args ((= true false))) % 1.41/1.63 (step @p499 :rule false_intro :premises (@p720)) % 1.41/1.63 (step @p336 :rule refl :args (@t212)) % 1.41/1.63 (step @p253 :rule refl :args (@t165)) % 1.41/1.63 (step @p369 :rule refl :args (@t164)) % 1.41/1.63 (step @p500 :rule cong :premises (@p369 @p253 @p336 @p721) :args (@t321)) % 1.41/1.63 (step @p501 :rule true_intro :premises (@p491)) % 1.41/1.63 (step @p502 :rule symm :premises (@p501)) % 1.41/1.63 (step @p503 :rule trans :premises (@p502 @p500 @p499)) % 1.41/1.63 (step @p504 false :rule eq_resolve :premises (@p503 @p498)) % 1.41/1.63 (step-pop @p723 :rule scope :premises (@p504)) % 1.41/1.63 (step-pop @p724 :rule scope :premises (@p723)) % 1.41/1.63 (step-pop @p725 :rule scope :premises (@p724)) % 1.41/1.63 (step @p505 :rule process_scope :premises (@p725) :args (false)) % 1.41/1.63 (assume-push @p726 @t321) % 1.41/1.63 (assume-push @p727 @t274) % 1.41/1.63 (assume-push @p728 @t244) % 1.41/1.63 (step @p512 :rule and_intro :premises (@p728 @p727 @p491)) % 1.41/1.63 (step-pop @p729 :rule scope :premises (@p512)) % 1.41/1.63 (step-pop @p730 :rule scope :premises (@p729)) % 1.41/1.63 (step-pop @p731 :rule scope :premises (@p730)) % 1.41/1.63 (step @p513 :rule process_scope :premises (@p731) :args (@t324)) % 1.41/1.63 (step @p517 :rule implies_elim :premises (@p513)) % 1.41/1.63 (step @p518 :rule resolution :premises (@p517 @p505) :args (true @t324)) % 1.41/1.63 (step @p519 :rule not_and :premises (@p518)) % 1.41/1.63 (step @p520 :rule eq_resolve :premises (@p519 @p494)) % 1.41/1.63 (step @p521 :rule chain_m_resolution :premises (@p520 @p491 @p487) :args (@t279 (@list false true) (@list @t321 @t243))) % 1.41/1.63 (step @p522 :rule cnf_or_pos :args (@t330)) % 1.41/1.63 (step @p523 :rule reordering :premises (@p522) :args ((or @t274 @t328 @t329 @t326 (not @t330)))) % 1.41/1.63 (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p199 @p197 @p185) :args (@t326 (@list true false false false) (@list @t274 @t327 @t242 @t330))) % 1.41/1.63 (assume-push @p732 @t331) % 1.41/1.63 (assume-push @p733 @t207) % 1.41/1.63 (assume-push @p734 @t326) % 1.41/1.63 (assume-push @p735 @t234) % 1.41/1.63 (assume-push @p736 @t332) % 1.41/1.63 (assume-push @p737 @t234) % 1.41/1.63 (assume-push @p738 @t332) % 1.41/1.63 (assume-push @p739 @t326) % 1.41/1.63 (assume-push @p740 @t331) % 1.41/1.63 (assume-push @p741 @t207) % 1.41/1.63 (step @p535 :rule true_intro :premises (@p184)) % 1.41/1.63 (step @p536 :rule symm :premises (@p152)) % 1.41/1.63 (step @p227 :rule refl :args (@t135)) % 1.41/1.63 (step @p537 :rule cong :premises (@p734 @p193 @p193 @p227) :args (@t206)) % 1.41/1.63 (step @p538 :rule trans :premises (@p70 @p537 @p536)) % 1.41/1.63 (step @p539 :rule symm :premises (@p70)) % 1.41/1.63 (step @p540 :rule trans :premises (@p150 @p539)) % 1.41/1.63 (step @p541 :rule trans :premises (@p540 @p538)) % 1.41/1.63 (step @p336 :rule refl :args (@t212)) % 1.41/1.63 (step @p542 :rule cong :premises (@p336 @p541 @p193) :args (@t283)) % 1.41/1.63 (step @p543 :rule trans :premises (@p542 @p535)) % 1.41/1.63 (step @p544 :rule true_elim :premises (@p543)) % 1.41/1.63 (step-pop @p742 :rule scope :premises (@p544)) % 1.41/1.63 (step-pop @p743 :rule scope :premises (@p742)) % 1.41/1.63 (step-pop @p744 :rule scope :premises (@p743)) % 1.41/1.63 (step-pop @p745 :rule scope :premises (@p744)) % 1.41/1.63 (step-pop @p746 :rule scope :premises (@p745)) % 1.41/1.63 (step @p545 :rule process_scope :premises (@p746) :args (@t283)) % 1.41/1.63 (step @p551 :rule and_intro :premises (@p184 @p152 @p734 @p70 @p150)) % 1.41/1.63 (step @p552 :rule modus_ponens :premises (@p551 @p545)) % 1.41/1.63 (step-pop @p747 :rule scope :premises (@p552)) % 1.41/1.63 (step-pop @p748 :rule scope :premises (@p747)) % 1.41/1.63 (step-pop @p749 :rule scope :premises (@p748)) % 1.41/1.63 (step-pop @p750 :rule scope :premises (@p749)) % 1.41/1.63 (step-pop @p751 :rule scope :premises (@p750)) % 1.41/1.63 (step @p553 :rule process_scope :premises (@p751) :args (@t283)) % 1.41/1.63 (step @p559 :rule implies_elim :premises (@p553)) % 1.41/1.63 (step @p560 :rule cnf_and_neg :args (@t333)) % 1.41/1.63 (step @p561 :rule resolution :premises (@p560 @p559) :args (true @t333)) % 1.41/1.63 (step @p562 :rule reordering :premises (@p561) :args ((or @t283 @t335 @t334 (not @t326) (not @t234) (not @t332)))) % 1.41/1.63 (step @p563 :rule chain_m_resolution :premises (@p562 @p70 @p150 @p524 @p184 @p152) :args (@t283 (@list false false false false false) (@list @t331 @t207 @t326 @t234 @t332))) % 1.41/1.63 (step @p564 :rule instantiate :premises (@p21) :args (@t296)) % 1.41/1.63 (step @p565 :rule cnf_or_pos :args (@t337)) % 1.41/1.63 (step @p566 :rule reordering :premises (@p565) :args ((or @t273 @t336 (not @t337)))) % 1.41/1.63 (step @p567 :rule chain_m_resolution :premises (@p566 @p288 @p564) :args (@t336 @t180 (@list @t270 @t337))) % 1.41/1.63 (step @p568 :rule cnf_or_pos :args (@t341)) % 1.41/1.63 (step @p569 :rule reordering :premises (@p568) :args ((or @t340 @t338 @t339 (not @t341)))) % 1.41/1.63 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p563 @p151) :args (@t338 @t176 (@list @t336 @t283 @t341))) % 1.41/1.63 (step @p571 :rule instantiate :premises (@p2) :args ((@list @t135 @t136 @t136 @t135 @t136 @t212))) % 1.41/1.63 (step @p572 :rule instantiate :premises (@p2) :args ((@list @t165 @t194 @t135 @t136 @t136 @t135))) % 1.41/1.63 (step @p573 :rule instantiate :premises (@p13) :args ((@list @t165 @t194 @t136 @t135))) % 1.41/1.63 (step @p574 :rule cnf_or_pos :args (@t343)) % 1.41/1.63 (step @p575 :rule reordering :premises (@p574) :args ((or @t204 @t342 (not @t343)))) % 1.41/1.63 (step @p576 :rule chain_m_resolution :premises (@p575 @p143 @p573) :args (@t342 @t180 (@list @t201 @t343))) % 1.41/1.63 (step @p577 :rule cnf_or_pos :args (@t346)) % 1.41/1.63 (step @p578 :rule reordering :premises (@p577) :args ((or @t204 @t345 @t344 (not @t346)))) % 1.41/1.63 (step @p579 :rule chain_m_resolution :premises (@p578 @p143 @p576 @p572) :args (@t344 @t176 (@list @t201 @t342 @t346))) % 1.41/1.63 (step @p580 :rule instantiate :premises (@p10) :args ((@list @t136 @t138 @t136 @t212))) % 1.41/1.63 (step @p581 :rule instantiate :premises (@p2) :args ((@list @t136 @t212 @t165 @t164 @t136 @t135))) % 1.41/1.63 (step @p582 :rule instantiate :premises (@p10) :args (@t320)) % 1.41/1.63 (step @p583 :rule cnf_or_pos :args (@t348)) % 1.41/1.63 (step @p584 :rule reordering :premises (@p583) :args ((or @t225 @t347 (not @t348)))) % 1.41/1.63 (step @p585 :rule chain_m_resolution :premises (@p584 @p166 @p582) :args (@t347 @t180 (@list @t219 @t348))) % 1.41/1.63 (step @p586 :rule instantiate :premises (@p10) :args (@t200)) % 1.41/1.63 (step @p587 :rule cnf_or_pos :args (@t351)) % 1.41/1.63 (step @p588 :rule reordering :premises (@p587) :args ((or @t167 @t350 (not @t351)))) % 1.41/1.63 (step @p589 :rule chain_m_resolution :premises (@p588 @p402 @p586) :args (@t350 @t307 (@list @t167 @t351))) % 1.41/1.63 (step @p590 :rule cnf_or_pos :args (@t354)) % 1.41/1.63 (step @p591 :rule reordering :premises (@p590) :args ((or @t349 @t353 @t352 (not @t354)))) % 1.41/1.63 (step @p592 :rule chain_m_resolution :premises (@p591 @p589 @p585 @p581) :args (@t352 @t355 (@list @t349 @t347 @t354))) % 1.41/1.63 (step @p593 :rule false_intro :premises (@p592)) % 1.41/1.63 (step @p594 :rule symm :premises (@p150)) % 1.41/1.63 (step @p595 :rule trans :premises (@p70 @p594)) % 1.41/1.63 (step @p336 :rule refl :args (@t212)) % 1.41/1.63 (step @p596 :rule cong :premises (@p193 @p336 @p193 @p595) :args (@t356)) % 1.41/1.63 (step @p597 :rule trans :premises (@p596 @p593)) % 1.41/1.63 (step @p598 :rule false_elim :premises (@p597)) % 1.41/1.63 (step @p599 :rule cnf_or_pos :args (@t358)) % 1.41/1.63 (step @p600 :rule reordering :premises (@p599) :args ((or @t356 @t357 (not @t358)))) % 1.41/1.63 (step @p601 :rule chain_m_resolution :premises (@p600 @p598 @p580) :args (@t357 @t307 (@list @t356 @t358))) % 1.41/1.63 (step @p602 :rule false_intro :premises (@p601)) % 1.41/1.63 (step @p539 :rule symm :premises (@p70)) % 1.41/1.63 (step @p540 :rule trans :premises (@p150 @p539)) % 1.41/1.63 (step @p603 :rule cong :premises (@p193 @p540 @p193 @p336) :args (@t359)) % 1.41/1.63 (step @p604 :rule trans :premises (@p603 @p602)) % 1.41/1.63 (step @p605 :rule false_elim :premises (@p604)) % 1.41/1.63 (step @p606 :rule cnf_or_pos :args (@t363)) % 1.41/1.63 (step @p607 :rule reordering :premises (@p606) :args ((or @t359 @t362 @t361 (not @t363)))) % 1.41/1.63 (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p579 @p571) :args (@t361 @t355 (@list @t359 @t344 @t363))) % 1.41/1.63 (assume-push @p752 @t338) % 1.41/1.63 (assume-push @p753 @t181) % 1.41/1.63 (assume-push @p754 @t331) % 1.41/1.63 (assume-push @p755 @t207) % 1.41/1.63 (assume-push @p756 @t181) % 1.41/1.63 (assume-push @p757 @t331) % 1.41/1.63 (assume-push @p758 @t207) % 1.41/1.63 (assume-push @p759 @t338) % 1.41/1.63 (step @p617 :rule true_intro :premises (@p109)) % 1.41/1.63 (step @p618 :rule symm :premises (@p752)) % 1.41/1.63 (step @p619 :rule trans :premises (@p618 @p150 @p539)) % 1.41/1.63 (step @p227 :rule refl :args (@t135)) % 1.41/1.63 (step @p620 :rule cong :premises (@p227 @p193 @p193 @p619) :args (@t360)) % 1.41/1.63 (step @p621 :rule trans :premises (@p620 @p617)) % 1.41/1.63 (step @p622 :rule true_elim :premises (@p621)) % 1.41/1.63 (step-pop @p760 :rule scope :premises (@p622)) % 1.41/1.63 (step-pop @p761 :rule scope :premises (@p760)) % 1.41/1.63 (step-pop @p762 :rule scope :premises (@p761)) % 1.41/1.63 (step-pop @p763 :rule scope :premises (@p762)) % 1.41/1.63 (step @p623 :rule process_scope :premises (@p763) :args (@t360)) % 1.41/1.63 (step @p628 :rule and_intro :premises (@p109 @p70 @p150 @p752)) % 1.41/1.63 (step @p629 :rule modus_ponens :premises (@p628 @p623)) % 1.41/1.63 (step-pop @p764 :rule scope :premises (@p629)) % 1.41/1.63 (step-pop @p765 :rule scope :premises (@p764)) % 1.41/1.63 (step-pop @p766 :rule scope :premises (@p765)) % 1.41/1.63 (step-pop @p767 :rule scope :premises (@p766)) % 1.41/1.63 (step @p630 :rule process_scope :premises (@p767) :args (@t360)) % 1.41/1.63 (step @p635 :rule implies_elim :premises (@p630)) % 1.41/1.63 (step @p636 :rule cnf_and_neg :args (@t364)) % 1.41/1.63 (step @p637 :rule resolution :premises (@p636 @p635) :args (true @t364)) % 1.41/1.63 (step @p638 :rule reordering :premises (@p637) :args ((or (not @t338) (not @t181) @t335 @t360 @t334))) % 1.41/1.63 (step @p639 false :rule chain_m_resolution :premises (@p638 @p608 @p570 @p150 @p109 @p70) :args (false (@list true false false false false) (@list @t360 @t338 @t207 @t181 @t331))) % 1.41/1.63 ) % 1.41/1.63 % SZS output end Proof % 1.41/1.63 % cvc5 exiting %------------------------------------------------------------------------------