%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT068+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:56 AM UTC 2026 % Result : Theorem 2.23s 2.51s % Output : Proof 2.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT068+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n026.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 13:55:42 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 2.23/2.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.23/2.51 % SZS status Theorem % 2.23/2.51 % SZS output start Proof % 2.23/2.51 ( % 2.23/2.51 (declare-sort $$unsorted 0) % 2.23/2.51 (declare-const tptp.nsup $$unsorted) % 2.23/2.51 (declare-const tptp.n5 $$unsorted) % 2.23/2.51 (declare-const tptp.n0 $$unsorted) % 2.23/2.51 (declare-const tptp.unknown $$unsorted) % 2.23/2.51 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.compatible $$unsorted) % 2.23/2.51 (declare-const tptp.ninf $$unsorted) % 2.23/2.51 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.n10 $$unsorted) % 2.23/2.51 (declare-const tptp.completion_compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.n20 $$unsorted) % 2.23/2.51 (declare-const tptp.conflict $$unsorted) % 2.23/2.51 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.disjoint (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.51 (declare-const tptp.completion_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.lower_tag (-> $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.c $$unsorted) % 2.23/2.51 (declare-const tptp.gt $$unsorted) % 2.23/2.51 (declare-const tptp.upper_tag (-> $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.is_ep_type (-> $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.o $$unsorted) % 2.23/2.51 (declare-const tptp.prec (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.eq $$unsorted) % 2.23/2.51 (declare-const tptp.lteq $$unsorted) % 2.23/2.51 (declare-const tptp.gteq $$unsorted) % 2.23/2.51 (declare-const tptp.lt $$unsorted) % 2.23/2.51 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.51 (declare-const tptp.n3 $$unsorted) % 2.23/2.51 (define @t1 () (@var "X" $$unsorted)) % 2.23/2.51 (define @t2 () (@list @t1)) % 2.23/2.51 (define @t3 () (@var "Z" $$unsorted)) % 2.23/2.51 (define @t4 () (tptp.less @t1 @t3)) % 2.23/2.51 (define @t5 () (@var "Y" $$unsorted)) % 2.23/2.51 (define @t6 () (tptp.less @t5 @t3)) % 2.23/2.51 (define @t7 () (tptp.less @t1 @t5)) % 2.23/2.51 (define @t8 () (and @t7 @t6)) % 2.23/2.51 (define @t9 () (@list @t1 @t5 @t3)) % 2.23/2.51 (define @t10 () (forall @t9 (=> @t8 @t4))) % 2.23/2.51 (define @t11 () (= @t1 @t5)) % 2.23/2.51 (define @t12 () (@list @t1 @t5)) % 2.23/2.51 (define @t13 () (tptp.leq @t1 @t5)) % 2.23/2.51 (define @t14 () (forall @t12 (= @t13 (or @t7 @t11)))) % 2.23/2.51 (define @t15 () (tptp.leq @t5 @t1)) % 2.23/2.51 (define @t16 () (and @t13 @t15)) % 2.23/2.51 (define @t17 () (forall @t12 (=> @t16 @t11))) % 2.23/2.51 (define @t18 () (tptp.leq @t5 @t3)) % 2.23/2.51 (define @t19 () (tptp.leq @t1 @t3)) % 2.23/2.51 (define @t20 () (and @t13 @t18)) % 2.23/2.51 (define @t21 () (forall @t9 (=> @t20 @t19))) % 2.23/2.51 (define @t22 () (tptp.less @t3 @t5)) % 2.23/2.51 (define @t23 () (and @t4 @t22)) % 2.23/2.51 (define @t24 () (@list @t3)) % 2.23/2.51 (define @t25 () (exists @t24 @t23)) % 2.23/2.51 (define @t26 () (=> @t7 @t25)) % 2.23/2.51 (define @t27 () (forall @t12 @t26)) % 2.23/2.51 (define @t28 () (@var "B" $$unsorted)) % 2.23/2.51 (define @t29 () (tptp.leq @t1 @t28)) % 2.23/2.51 (define @t30 () (@var "A" $$unsorted)) % 2.23/2.51 (define @t31 () (tptp.leq @t30 @t1)) % 2.23/2.51 (define @t32 () (@list @t1 @t30 @t28)) % 2.23/2.51 (define @t33 () (tptp.less @t30 @t1)) % 2.23/2.51 (define @t34 () (tptp.less @t1 @t28)) % 2.23/2.51 (define @t35 () (@var "I2hi" $$unsorted)) % 2.23/2.51 (define @t36 () (@var "I2lo" $$unsorted)) % 2.23/2.51 (define @t37 () (tptp.in_closed @t1 @t36 @t35)) % 2.23/2.51 (define @t38 () (@var "I1hi" $$unsorted)) % 2.23/2.51 (define @t39 () (@var "I1lo" $$unsorted)) % 2.23/2.51 (define @t40 () (tptp.in_closed @t1 @t39 @t38)) % 2.23/2.51 (define @t41 () (and @t40 @t37)) % 2.23/2.51 (define @t42 () (exists @t2 @t41)) % 2.23/2.51 (define @t43 () (not @t42)) % 2.23/2.51 (define @t44 () (tptp.axis_conflict @t39 @t38 @t36 @t35)) % 2.23/2.51 (define @t45 () (= @t44 @t43)) % 2.23/2.51 (define @t46 () (@list @t39 @t38 @t36 @t35)) % 2.23/2.51 (define @t47 () (forall @t46 @t45)) % 2.23/2.51 (define @t48 () (tptp.is_verdict tptp.conflict)) % 2.23/2.51 (define @t49 () (tptp.is_verdict tptp.unknown)) % 2.23/2.51 (define @t50 () (not (= tptp.conflict tptp.unknown))) % 2.23/2.51 (define @t51 () (@var "V" $$unsorted)) % 2.23/2.51 (define @t52 () (@var "V2" $$unsorted)) % 2.23/2.51 (define @t53 () (@var "V1" $$unsorted)) % 2.23/2.51 (define @t54 () (tptp.box_verdict @t53 @t52)) % 2.23/2.51 (define @t55 () (= @t54 tptp.conflict)) % 2.23/2.51 (define @t56 () (= @t52 tptp.conflict)) % 2.23/2.51 (define @t57 () (= @t53 tptp.conflict)) % 2.23/2.51 (define @t58 () (or @t57 @t56)) % 2.23/2.51 (define @t59 () (tptp.is_verdict @t52)) % 2.23/2.51 (define @t60 () (tptp.is_verdict @t53)) % 2.23/2.51 (define @t61 () (and @t60 @t59 @t58)) % 2.23/2.51 (define @t62 () (=> @t61 @t55)) % 2.23/2.51 (define @t63 () (@list @t53 @t52)) % 2.23/2.51 (define @t64 () (forall @t63 @t62)) % 2.23/2.51 (define @t65 () (= @t54 tptp.compatible)) % 2.23/2.51 (define @t66 () (= @t54 tptp.unknown)) % 2.23/2.51 (define @t67 () (@var "SupD" $$unsorted)) % 2.23/2.51 (define @t68 () (@var "InfD" $$unsorted)) % 2.23/2.51 (define @t69 () (tptp.completion_compatible @t51 @t68 @t67)) % 2.23/2.51 (define @t70 () (tptp.leq @t51 @t67)) % 2.23/2.51 (define @t71 () (tptp.leq @t68 @t51)) % 2.23/2.51 (define @t72 () (and @t71 @t70)) % 2.23/2.51 (define @t73 () (forall (@list @t51 @t68 @t67) (=> @t72 @t69))) % 2.23/2.51 (define @t74 () (@var "U" $$unsorted)) % 2.23/2.51 (define @t75 () (tptp.completion_conflict @t74 @t51 @t68 @t67)) % 2.23/2.51 (define @t76 () (tptp.less @t74 @t51)) % 2.23/2.51 (define @t77 () (tptp.leq @t74 @t67)) % 2.23/2.51 (define @t78 () (tptp.leq @t68 @t74)) % 2.23/2.51 (define @t79 () (and @t78 @t77 @t71 @t70 @t76)) % 2.23/2.51 (define @t80 () (@list @t74 @t51 @t68 @t67)) % 2.23/2.51 (define @t81 () (forall @t80 (=> @t79 @t75))) % 2.23/2.51 (define @t82 () (and @t78 @t77 @t76 @t70)) % 2.23/2.51 (define @t83 () (@var "A2hi" $$unsorted)) % 2.23/2.51 (define @t84 () (@var "A2lo" $$unsorted)) % 2.23/2.51 (define @t85 () (@var "A1hi" $$unsorted)) % 2.23/2.51 (define @t86 () (@var "A1lo" $$unsorted)) % 2.23/2.51 (define @t87 () (@var "A1phi" $$unsorted)) % 2.23/2.51 (define @t88 () (@var "A1plo" $$unsorted)) % 2.23/2.51 (define @t89 () (@var "T" $$unsorted)) % 2.23/2.51 (define @t90 () (@var "L" $$unsorted)) % 2.23/2.51 (define @t91 () (@list @t74 @t90)) % 2.23/2.51 (define @t92 () (tptp.leq @t74 @t90)) % 2.23/2.51 (define @t93 () (tptp.prec @t74 @t90 tptp.o tptp.o)) % 2.23/2.51 (define @t94 () (forall @t91 (= @t93 @t92))) % 2.23/2.51 (define @t95 () (@var "CL1" $$unsorted)) % 2.23/2.51 (define @t96 () (@var "CU2" $$unsorted)) % 2.23/2.51 (define @t97 () (@var "L1" $$unsorted)) % 2.23/2.51 (define @t98 () (@var "U2" $$unsorted)) % 2.23/2.51 (define @t99 () (@var "CL2" $$unsorted)) % 2.23/2.51 (define @t100 () (@var "CU1" $$unsorted)) % 2.23/2.51 (define @t101 () (@var "L2" $$unsorted)) % 2.23/2.51 (define @t102 () (@var "U1" $$unsorted)) % 2.23/2.51 (define @t103 () (tptp.less tptp.n3 tptp.n5)) % 2.23/2.51 (define @t104 () (tptp.less tptp.n5 tptp.n10)) % 2.23/2.51 (define @t105 () (tptp.box_verdict tptp.conflict tptp.unknown)) % 2.23/2.51 (define @t106 () (tptp.completion_compatible tptp.n5 tptp.ninf tptp.nsup)) % 2.23/2.51 (define @t107 () (tptp.completion_conflict tptp.n5 tptp.n10 tptp.ninf tptp.nsup)) % 2.23/2.51 (define @t108 () (tptp.disjoint tptp.n5 tptp.nsup tptp.o tptp.c tptp.ninf tptp.n10 tptp.c tptp.o)) % 2.23/2.51 (define @t109 () (not @t108)) % 2.23/2.51 (define @t110 () (tptp.less @t3 tptp.n10)) % 2.23/2.51 (define @t111 () (tptp.less tptp.n5 @t3)) % 2.23/2.51 (define @t112 () (and @t111 @t110)) % 2.23/2.51 (define @t113 () (exists @t24 @t112)) % 2.23/2.51 (define @t114 () (tptp.axis_conflict tptp.n0 tptp.n3 tptp.n10 tptp.n20)) % 2.23/2.51 (define @t115 () (and @t114 @t113 @t109 @t107 @t106 (= @t105 tptp.conflict))) % 2.23/2.51 (define @t116 () (not @t115)) % 2.23/2.51 (define @t117 () (not @t18)) % 2.23/2.51 (define @t118 () (not @t13)) % 2.23/2.51 (define @t119 () (or @t118 @t117 @t19)) % 2.23/2.51 (define @t120 () (tptp.less tptp.nsup tptp.ninf)) % 2.23/2.51 (define @t121 () (or @t120 (= tptp.nsup tptp.ninf))) % 2.23/2.51 (define @t122 () (tptp.leq tptp.nsup tptp.ninf)) % 2.23/2.51 (define @t123 () (= @t122 @t121)) % 2.23/2.51 (define @t124 () (@list tptp.nsup tptp.ninf)) % 2.23/2.51 (define @t125 () (or @t120 (= tptp.ninf tptp.nsup))) % 2.23/2.51 (define @t126 () (= @t122 @t125)) % 2.23/2.51 (define @t127 () (@list false)) % 2.23/2.51 (define @t128 () (= tptp.conflict @t54)) % 2.23/2.51 (define @t129 () (= tptp.conflict @t52)) % 2.23/2.51 (define @t130 () (= tptp.conflict @t53)) % 2.23/2.51 (define @t131 () (and (not @t130) (not @t129))) % 2.23/2.51 (define @t132 () (not @t59)) % 2.23/2.51 (define @t133 () (not @t60)) % 2.23/2.51 (define @t134 () (or @t133 @t132 @t131 @t128)) % 2.23/2.51 (define @t135 () (or @t130 @t129)) % 2.23/2.51 (define @t136 () (not @t135)) % 2.23/2.51 (define @t137 () (or @t133 @t132 @t136)) % 2.23/2.51 (define @t138 () (and @t60 @t59 @t135)) % 2.23/2.51 (define @t139 () (= tptp.conflict @t105)) % 2.23/2.51 (define @t140 () (not @t49)) % 2.23/2.51 (define @t141 () (not @t48)) % 2.23/2.51 (define @t142 () (or @t141 @t140 @t139)) % 2.23/2.51 (define @t143 () (not (= tptp.conflict tptp.conflict))) % 2.23/2.51 (define @t144 () (and @t143 @t50)) % 2.23/2.51 (define @t145 () (or @t141 @t140 @t144 @t139)) % 2.23/2.51 (define @t146 () (forall @t63 @t134)) % 2.23/2.51 (define @t147 () (@list false false false)) % 2.23/2.51 (define @t148 () (not @t70)) % 2.23/2.51 (define @t149 () (not @t71)) % 2.23/2.51 (define @t150 () (@list tptp.n5)) % 2.23/2.51 (define @t151 () (tptp.leq tptp.n5 tptp.nsup)) % 2.23/2.51 (define @t152 () (not @t151)) % 2.23/2.51 (define @t153 () (tptp.leq tptp.ninf tptp.n5)) % 2.23/2.51 (define @t154 () (not @t153)) % 2.23/2.51 (define @t155 () (or @t154 @t152 @t106)) % 2.23/2.51 (define @t156 () (not @t76)) % 2.23/2.51 (define @t157 () (not @t77)) % 2.23/2.51 (define @t158 () (not @t78)) % 2.23/2.51 (define @t159 () (or @t158 @t157 @t149 @t148 @t156)) % 2.23/2.51 (define @t160 () (@list tptp.n10)) % 2.23/2.51 (define @t161 () (not @t104)) % 2.23/2.51 (define @t162 () (tptp.leq tptp.n10 tptp.nsup)) % 2.23/2.51 (define @t163 () (not @t162)) % 2.23/2.51 (define @t164 () (tptp.leq tptp.ninf tptp.n10)) % 2.23/2.51 (define @t165 () (not @t164)) % 2.23/2.51 (define @t166 () (or @t154 @t152 @t165 @t163 @t161 @t107)) % 2.23/2.51 (define @t167 () (forall @t2 (not @t41))) % 2.23/2.51 (define @t168 () (not @t167)) % 2.23/2.51 (define @t169 () (forall @t2 (or (not (tptp.in_closed @t1 tptp.n0 tptp.n3)) (not (tptp.in_closed @t1 tptp.n10 tptp.n20))))) % 2.23/2.51 (define @t170 () (@quantifiers_skolemize @t169 0)) % 2.23/2.51 (define @t171 () (tptp.in_closed @t170 tptp.n0 tptp.n3)) % 2.23/2.51 (define @t172 () (tptp.in_closed @t170 tptp.n10 tptp.n20)) % 2.23/2.51 (define @t173 () (not @t172)) % 2.23/2.51 (define @t174 () (not @t171)) % 2.23/2.51 (define @t175 () (or @t174 @t173)) % 2.23/2.51 (define @t176 () (tptp.leq @t170 tptp.n3)) % 2.23/2.51 (define @t177 () (and (tptp.leq tptp.n0 @t170) @t176)) % 2.23/2.51 (define @t178 () (= @t171 @t177)) % 2.23/2.51 (define @t179 () (tptp.leq tptp.n10 @t170)) % 2.23/2.51 (define @t180 () (and @t179 (tptp.leq @t170 tptp.n20))) % 2.23/2.51 (define @t181 () (= @t172 @t180)) % 2.23/2.51 (define @t182 () (not @t15)) % 2.23/2.51 (define @t183 () (or @t118 @t182 @t11)) % 2.23/2.51 (define @t184 () (@list tptp.n3 tptp.n10)) % 2.23/2.51 (define @t185 () (not @t6)) % 2.23/2.51 (define @t186 () (not @t7)) % 2.23/2.51 (define @t187 () (tptp.less tptp.n3 tptp.n10)) % 2.23/2.51 (define @t188 () (not @t103)) % 2.23/2.51 (define @t189 () (or @t188 @t161 @t187)) % 2.23/2.51 (define @t190 () (= tptp.n3 tptp.n10)) % 2.23/2.51 (define @t191 () (or @t187 @t190)) % 2.23/2.51 (define @t192 () (tptp.leq tptp.n3 tptp.n10)) % 2.23/2.51 (define @t193 () (= @t192 @t191)) % 2.23/2.51 (define @t194 () (@list false false)) % 2.23/2.51 (define @t195 () (@list tptp.n5 tptp.n10)) % 2.23/2.51 (define @t196 () (= tptp.n5 tptp.n10)) % 2.23/2.51 (define @t197 () (or @t104 @t196)) % 2.23/2.51 (define @t198 () (tptp.leq tptp.n5 tptp.n10)) % 2.23/2.51 (define @t199 () (= @t198 @t197)) % 2.23/2.51 (define @t200 () (tptp.leq tptp.n5 tptp.n3)) % 2.23/2.51 (define @t201 () (and @t198 @t190)) % 2.23/2.51 (define @t202 () (not @t190)) % 2.23/2.51 (define @t203 () (not @t198)) % 2.23/2.51 (define @t204 () (@list tptp.n3 tptp.n5)) % 2.23/2.51 (define @t205 () (= tptp.n3 tptp.n5)) % 2.23/2.51 (define @t206 () (or @t103 @t205)) % 2.23/2.51 (define @t207 () (tptp.leq tptp.n3 tptp.n5)) % 2.23/2.51 (define @t208 () (= @t207 @t206)) % 2.23/2.51 (define @t209 () (not @t200)) % 2.23/2.51 (define @t210 () (not @t207)) % 2.23/2.51 (define @t211 () (or @t210 @t209 @t205)) % 2.23/2.51 (define @t212 () (tptp.less tptp.n5 tptp.n5)) % 2.23/2.51 (define @t213 () (not @t205)) % 2.23/2.51 (define @t214 () (not @t212)) % 2.23/2.51 (define @t215 () (not @t214)) % 2.23/2.51 (define @t216 () (= false true)) % 2.23/2.51 (define @t217 () (and @t104 @t190 @t205 @t214)) % 2.23/2.51 (define @t218 () (@list true false false false false false false)) % 2.23/2.51 (define @t219 () (tptp.leq tptp.n10 tptp.n3)) % 2.23/2.51 (define @t220 () (not @t219)) % 2.23/2.51 (define @t221 () (not @t192)) % 2.23/2.51 (define @t222 () (or @t221 @t220 @t190)) % 2.23/2.51 (define @t223 () (@list true false false)) % 2.23/2.51 (define @t224 () (not @t176)) % 2.23/2.51 (define @t225 () (not @t179)) % 2.23/2.51 (define @t226 () (or @t225 @t224 @t219)) % 2.23/2.51 (define @t227 () (not @t175)) % 2.23/2.51 (define @t228 () (not @t169)) % 2.23/2.51 (define @t229 () (= @t114 @t169)) % 2.23/2.51 (define @t230 () (not (forall @t24 (or (not @t4) (not @t22))))) % 2.23/2.51 (define @t231 () (forall @t24 (not @t23))) % 2.23/2.51 (define @t232 () (not @t231)) % 2.23/2.51 (define @t233 () (forall @t24 (or (not @t111) (not @t110)))) % 2.23/2.51 (define @t234 () (not @t233)) % 2.23/2.51 (define @t235 () (or @t161 @t234)) % 2.23/2.51 (define @t236 () (not @t139)) % 2.23/2.51 (define @t237 () (not @t106)) % 2.23/2.51 (define @t238 () (not @t107)) % 2.23/2.51 (define @t239 () (not @t114)) % 2.23/2.51 (define @t240 () (forall @t24 (not @t112))) % 2.23/2.51 (define @t241 () (not @t240)) % 2.23/2.51 (define @t242 () (tptp.prec tptp.n10 tptp.n5 tptp.o tptp.o)) % 2.23/2.51 (define @t243 () (tptp.prec tptp.nsup tptp.ninf tptp.c tptp.c)) % 2.23/2.51 (define @t244 () (or @t243 @t242)) % 2.23/2.51 (define @t245 () (= @t108 @t244)) % 2.23/2.51 (define @t246 () (tptp.leq tptp.n10 tptp.n5)) % 2.23/2.51 (define @t247 () (forall @t91 (= @t92 @t93))) % 2.23/2.51 (define @t248 () (= @t246 @t242)) % 2.23/2.51 (define @t249 () (= @t242 @t246)) % 2.23/2.51 (define @t250 () (not @t196)) % 2.23/2.51 (define @t251 () (not @t246)) % 2.23/2.51 (define @t252 () (or @t203 @t251 @t196)) % 2.23/2.51 (define @t253 () (not @t242)) % 2.23/2.51 (define @t254 () (@list true false)) % 2.23/2.51 (define @t255 () (= @t243 @t120)) % 2.23/2.51 (define @t256 () (tptp.leq tptp.n10 tptp.ninf)) % 2.23/2.51 (define @t257 () (not @t256)) % 2.23/2.51 (define @t258 () (or @t165 @t257 (= tptp.ninf tptp.n10))) % 2.23/2.51 (define @t259 () (forall @t12 @t183)) % 2.23/2.51 (define @t260 () (= tptp.n10 tptp.ninf)) % 2.23/2.51 (define @t261 () (or @t165 @t257 @t260)) % 2.23/2.51 (define @t262 () (@list @t259)) % 2.23/2.51 (define @t263 () (tptp.leq tptp.n5 tptp.ninf)) % 2.23/2.51 (define @t264 () (and @t198 @t260)) % 2.23/2.51 (define @t265 () (not @t263)) % 2.23/2.51 (define @t266 () (or @t154 @t265 (= tptp.ninf tptp.n5))) % 2.23/2.51 (define @t267 () (= tptp.n5 tptp.ninf)) % 2.23/2.51 (define @t268 () (or @t154 @t265 @t267)) % 2.23/2.51 (define @t269 () (not @t260)) % 2.23/2.51 (define @t270 () (not @t267)) % 2.23/2.51 (define @t271 () (and @t104 @t260 @t267 @t214)) % 2.23/2.51 (define @t272 () (@list false true false)) % 2.23/2.51 (define @t273 () (not @t122)) % 2.23/2.51 (define @t274 () (or @t163 @t273 @t256)) % 2.23/2.51 (define @t275 () (not @t274)) % 2.23/2.51 (define @t276 () (forall @t9 @t119)) % 2.23/2.51 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 2.23/2.51 (assume @p2 @t10) % 2.23/2.51 (assume @p3 (forall @t12 (or @t7 @t11 (tptp.less @t5 @t1)))) % 2.23/2.51 (assume @p4 @t14) % 2.23/2.51 (assume @p5 @t17) % 2.23/2.51 (assume @p6 (forall @t12 (=> @t7 @t13))) % 2.23/2.51 (assume @p7 (forall @t9 (=> (and @t13 @t6) @t4))) % 2.23/2.51 (assume @p8 (forall @t9 (=> (and @t7 @t18) @t4))) % 2.23/2.51 (assume @p9 @t21) % 2.23/2.51 (assume @p10 @t27) % 2.23/2.51 (assume @p11 (forall @t32 (= (tptp.in_closed @t1 @t30 @t28) (and @t31 @t29)))) % 2.23/2.51 (assume @p12 (forall @t32 (= (tptp.in_lopen @t1 @t30 @t28) (and @t33 @t29)))) % 2.23/2.51 (assume @p13 (forall @t32 (= (tptp.in_ropen @t1 @t30 @t28) (and @t31 @t34)))) % 2.23/2.51 (assume @p14 (forall @t32 (= (tptp.in_open @t1 @t30 @t28) (and @t33 @t34)))) % 2.23/2.51 (assume @p15 @t47) % 2.23/2.51 (assume @p16 (forall @t46 (= (tptp.axis_compatible @t39 @t38 @t36 @t35) @t42))) % 2.23/2.51 (assume @p17 (forall @t46 (= (tptp.axis_subsumes @t39 @t38 @t36 @t35) (forall @t2 (=> @t40 @t37))))) % 2.23/2.51 (assume @p18 @t48) % 2.23/2.51 (assume @p19 (tptp.is_verdict tptp.compatible)) % 2.23/2.51 (assume @p20 @t49) % 2.23/2.51 (assume @p21 (not (= tptp.conflict tptp.compatible))) % 2.23/2.51 (assume @p22 @t50) % 2.23/2.51 (assume @p23 (not (= tptp.compatible tptp.unknown))) % 2.23/2.51 (assume @p24 (forall (@list @t51) (=> (tptp.is_verdict @t51) (or (= @t51 tptp.conflict) (= @t51 tptp.compatible) (= @t51 tptp.unknown))))) % 2.23/2.51 (assume @p25 @t64) % 2.23/2.51 (assume @p26 (forall @t63 (=> (and @t60 @t59 (= @t53 tptp.compatible) (= @t52 tptp.compatible)) @t65))) % 2.23/2.51 (assume @p27 (forall @t63 (=> (and @t60 @t59 (or (= @t53 tptp.unknown) (= @t52 tptp.unknown)) (not @t57) (not @t56)) @t66))) % 2.23/2.51 (assume @p28 (forall @t63 (=> (and @t60 @t59) (or @t55 @t65 @t66)))) % 2.23/2.51 (assume @p29 @t73) % 2.23/2.51 (assume @p30 @t81) % 2.23/2.51 (assume @p31 (forall @t80 (=> @t82 (tptp.completion_compatible @t74 @t68 @t67)))) % 2.23/2.51 (assume @p32 (forall @t80 (=> @t82 @t75))) % 2.23/2.51 (assume @p33 (forall (@list @t86 @t85 @t88 @t87 @t84 @t83) (=> (and (tptp.axis_subsumes @t86 @t85 @t88 @t87) (tptp.axis_conflict @t88 @t87 @t84 @t83)) (tptp.axis_conflict @t86 @t85 @t84 @t83)))) % 2.23/2.51 (assume @p34 (forall (@list @t86 @t85 @t84 @t83) (=> (tptp.axis_subsumes @t86 @t85 @t84 @t83) (forall @t2 (=> (tptp.in_closed @t1 @t86 @t85) (tptp.in_closed @t1 @t84 @t83)))))) % 2.23/2.51 (assume @p35 (tptp.is_ep_type tptp.c)) % 2.23/2.51 (assume @p36 (tptp.is_ep_type tptp.o)) % 2.23/2.51 (assume @p37 (not (= tptp.c tptp.o))) % 2.23/2.51 (assume @p38 (forall (@list @t89) (=> (tptp.is_ep_type @t89) (or (= @t89 tptp.c) (= @t89 tptp.o))))) % 2.23/2.51 (assume @p39 (forall @t91 (= (tptp.prec @t74 @t90 tptp.c tptp.c) (tptp.less @t74 @t90)))) % 2.23/2.51 (assume @p40 (forall @t91 (= (tptp.prec @t74 @t90 tptp.o tptp.c) @t92))) % 2.23/2.51 (assume @p41 (forall @t91 (= (tptp.prec @t74 @t90 tptp.c tptp.o) @t92))) % 2.23/2.51 (assume @p42 @t94) % 2.23/2.51 (assume @p43 (forall (@list @t97 @t102 @t95 @t100 @t101 @t98 @t99 @t96) (= (tptp.disjoint @t97 @t102 @t95 @t100 @t101 @t98 @t99 @t96) (or (tptp.prec @t102 @t101 @t100 @t99) (tptp.prec @t98 @t97 @t96 @t95))))) % 2.23/2.51 (assume @p44 (tptp.lower_tag tptp.eq tptp.c)) % 2.23/2.51 (assume @p45 (tptp.lower_tag tptp.lteq tptp.c)) % 2.23/2.51 (assume @p46 (tptp.lower_tag tptp.gteq tptp.c)) % 2.23/2.51 (assume @p47 (tptp.lower_tag tptp.lt tptp.c)) % 2.23/2.51 (assume @p48 (tptp.lower_tag tptp.gt tptp.o)) % 2.23/2.51 (assume @p49 (tptp.upper_tag tptp.eq tptp.c)) % 2.23/2.51 (assume @p50 (tptp.upper_tag tptp.lteq tptp.c)) % 2.23/2.51 (assume @p51 (tptp.upper_tag tptp.gteq tptp.c)) % 2.23/2.51 (assume @p52 (tptp.upper_tag tptp.lt tptp.o)) % 2.23/2.51 (assume @p53 (tptp.upper_tag tptp.gt tptp.c)) % 2.23/2.51 (assume @p54 (tptp.less tptp.n0 tptp.n3)) % 2.23/2.51 (assume @p55 @t103) % 2.23/2.51 (assume @p56 @t104) % 2.23/2.51 (assume @p57 (tptp.less tptp.n10 tptp.n20)) % 2.23/2.51 (assume @p58 (forall @t2 (tptp.leq tptp.ninf @t1))) % 2.23/2.51 (assume @p59 (forall @t2 (tptp.leq @t1 tptp.nsup))) % 2.23/2.51 (assume @p60 @t116) % 2.23/2.51 (assume @p61 true) % 2.23/2.51 (step @p62 :rule aci_norm :args ((= (or (or @t118 @t117) @t19) @t119))) % 2.23/2.51 (step @p63 :rule refl :args (@t19)) % 2.23/2.51 (step @p64 :rule bool-and-de-morgan :args (@t13 @t18 true)) % 2.23/2.51 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t20) @t19))) % 2.23/2.51 (step @p66 :rule trans :premises (@p65 @p62)) % 2.23/2.51 (step @p67 :rule bool-impl-elim :args (@t20 @t19)) % 2.23/2.51 (step @p68 :rule trans :premises (@p67 @p66)) % 2.23/2.51 (step @p69 :rule cong :premises (@p68) :args (@t21)) % 2.23/2.51 (step @p70 :rule eq_resolve :premises (@p9 @p69)) % 2.23/2.51 (step @p71 :rule eq-symm :args (tptp.nsup tptp.ninf)) % 2.23/2.51 (step @p72 :rule refl :args (@t120)) % 2.23/2.51 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t121)) % 2.23/2.51 (step @p74 :rule refl :args (@t122)) % 2.23/2.51 (step @p75 :rule cong :premises (@p74 @p73) :args (@t123)) % 2.23/2.51 (step @p76 :rule refl :args (@t14)) % 2.23/2.51 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t14 @t123))) % 2.23/2.51 (assume-push @p527 @t14) % 2.23/2.51 (step @p79 :rule instantiate :premises (@p4) :args (@t124)) % 2.23/2.51 (step-pop @p528 :rule scope :premises (@p79)) % 2.23/2.51 (step @p80 :rule process_scope :premises (@p528) :args (@t123)) % 2.23/2.51 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 2.23/2.51 (step @p83 :rule implies_elim :premises (@p82)) % 2.23/2.51 (step @p84 :rule chain_m_resolution :premises (@p83 @p4) :args (@t126 @t127 (@list @t14))) % 2.23/2.51 (step @p85 :rule instantiate :premises (@p39) :args (@t124)) % 2.23/2.51 (step @p86 :rule instantiate :premises (@p43) :args ((@list tptp.n5 tptp.nsup tptp.o tptp.c tptp.ninf tptp.n10 tptp.c tptp.o))) % 2.23/2.51 (step @p87 :rule aci_norm :args ((= (or (or @t133 @t132 @t131) @t128) @t134))) % 2.23/2.51 (step @p88 :rule refl :args (@t128)) % 2.23/2.51 (step @p89 :rule bool-or-de-morgan :args (@t130 @t129 false)) % 2.23/2.51 (step @p90 :rule refl :args (@t132)) % 2.23/2.51 (step @p91 :rule refl :args (@t133)) % 2.23/2.51 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args (@t137)) % 2.23/2.51 (step @p93 :rule aci_norm :args ((= (or @t133 (or @t132 @t136)) @t137))) % 2.23/2.51 (step @p94 :rule bool-and-de-morgan :args (@t59 @t135 true)) % 2.23/2.51 (step @p95 :rule nary_cong :premises (@p91 @p94) :args ((or @t133 (not (and @t59 @t135))))) % 2.23/2.51 (step @p96 :rule bool-and-de-morgan :args (@t60 @t59 (and @t135))) % 2.23/2.51 (step @p97 :rule trans :premises (@p96 @p95)) % 2.23/2.51 (step @p98 :rule trans :premises (@p97 @p93)) % 2.23/2.51 (step @p99 :rule trans :premises (@p98 @p92)) % 2.23/2.51 (step @p100 :rule nary_cong :premises (@p99 @p88) :args ((or (not @t138) @t128))) % 2.23/2.51 (step @p101 :rule trans :premises (@p100 @p87)) % 2.23/2.51 (step @p102 :rule bool-impl-elim :args (@t138 @t128)) % 2.23/2.51 (step @p103 :rule trans :premises (@p102 @p101)) % 2.23/2.51 (step @p104 :rule cong :premises (@p103) :args ((forall @t63 (=> @t138 @t128)))) % 2.23/2.51 (step @p105 :rule eq-symm :args (@t54 tptp.conflict)) % 2.23/2.51 (step @p106 :rule eq-symm :args (@t52 tptp.conflict)) % 2.23/2.51 (step @p107 :rule eq-symm :args (@t53 tptp.conflict)) % 2.23/2.51 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t58)) % 2.23/2.51 (step @p109 :rule refl :args (@t59)) % 2.23/2.51 (step @p110 :rule refl :args (@t60)) % 2.23/2.51 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t61)) % 2.23/2.51 (step @p112 :rule cong :premises (@p111 @p105) :args (@t62)) % 2.23/2.51 (step @p113 :rule cong :premises (@p112) :args (@t64)) % 2.23/2.51 (step @p114 :rule trans :premises (@p113 @p104)) % 2.23/2.51 (step @p115 :rule eq_resolve :premises (@p25 @p114)) % 2.23/2.51 (step @p116 :rule aci_norm :args ((= (or @t141 @t140 false @t139) @t142))) % 2.23/2.51 (step @p117 :rule refl :args (@t139)) % 2.23/2.51 (step @p118 :rule absorb :args ((= (and false @t50) false))) % 2.23/2.51 (step @p119 :rule refl :args (@t50)) % 2.23/2.51 (step @p120 :rule evaluate :args ((not true))) % 2.23/2.51 (step @p121 :rule eq-refl :args (tptp.conflict)) % 2.23/2.51 (step @p122 :rule cong :premises (@p121) :args (@t143)) % 2.23/2.51 (step @p123 :rule trans :premises (@p122 @p120)) % 2.23/2.51 (step @p124 :rule nary_cong :premises (@p123 @p119) :args (@t144)) % 2.23/2.51 (step @p125 :rule trans :premises (@p124 @p118)) % 2.23/2.51 (step @p126 :rule refl :args (@t140)) % 2.23/2.51 (step @p127 :rule refl :args (@t141)) % 2.23/2.51 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p117) :args (@t145)) % 2.23/2.51 (step @p129 :rule trans :premises (@p128 @p116)) % 2.23/2.51 (step @p130 :rule refl :args (@t146)) % 2.23/2.51 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t146 @t145))) % 2.23/2.51 (assume-push @p529 @t146) % 2.23/2.51 (step @p133 :rule instantiate :premises (@p115) :args ((@list tptp.conflict tptp.unknown))) % 2.23/2.51 (step-pop @p530 :rule scope :premises (@p133)) % 2.23/2.51 (step @p134 :rule process_scope :premises (@p530) :args (@t145)) % 2.23/2.51 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 2.23/2.51 (step @p137 :rule implies_elim :premises (@p136)) % 2.23/2.51 (step @p138 :rule chain_m_resolution :premises (@p137 @p115) :args (@t142 @t127 (@list @t146))) % 2.23/2.51 (step @p139 :rule cnf_or_pos :args (@t142)) % 2.23/2.51 (step @p140 :rule reordering :premises (@p139) :args ((or @t139 @t141 @t140 (not @t142)))) % 2.23/2.51 (step @p141 :rule chain_m_resolution :premises (@p140 @p18 @p20 @p138) :args (@t139 @t147 (@list @t48 @t49 @t142))) % 2.23/2.51 (step @p142 :rule aci_norm :args ((= (or (or @t149 @t148) @t69) (or @t149 @t148 @t69)))) % 2.23/2.51 (step @p143 :rule refl :args (@t69)) % 2.23/2.51 (step @p144 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 2.23/2.51 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t72) @t69))) % 2.23/2.51 (step @p146 :rule trans :premises (@p145 @p142)) % 2.23/2.51 (step @p147 :rule bool-impl-elim :args (@t72 @t69)) % 2.23/2.51 (step @p148 :rule trans :premises (@p147 @p146)) % 2.23/2.51 (step @p149 :rule cong :premises (@p148) :args (@t73)) % 2.23/2.51 (step @p150 :rule eq_resolve :premises (@p29 @p149)) % 2.23/2.51 (step @p151 :rule instantiate :premises (@p150) :args ((@list tptp.n5 tptp.ninf tptp.nsup))) % 2.23/2.51 (step @p152 :rule instantiate :premises (@p59) :args (@t150)) % 2.23/2.51 (step @p153 :rule instantiate :premises (@p58) :args (@t150)) % 2.23/2.51 (step @p154 :rule cnf_or_pos :args (@t155)) % 2.23/2.51 (step @p155 :rule reordering :premises (@p154) :args ((or @t106 @t154 @t152 (not @t155)))) % 2.23/2.51 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152 @p151) :args (@t106 @t147 (@list @t153 @t151 @t155))) % 2.23/2.51 (step @p157 :rule aci_norm :args ((= (or @t159 @t75) (or @t158 @t157 @t149 @t148 @t156 @t75)))) % 2.23/2.51 (step @p158 :rule refl :args (@t75)) % 2.23/2.51 (step @p159 :rule aci_norm :args ((= (or @t158 (or @t157 (or @t149 (or @t148 @t156)))) @t159))) % 2.23/2.51 (step @p160 :rule bool-and-de-morgan :args (@t70 @t76 true)) % 2.23/2.51 (step @p161 :rule refl :args (@t149)) % 2.23/2.51 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t149 (not (and @t70 @t76))))) % 2.23/2.51 (step @p163 :rule bool-and-de-morgan :args (@t71 @t70 (and @t76))) % 2.23/2.51 (step @p164 :rule trans :premises (@p163 @p162)) % 2.23/2.51 (step @p165 :rule refl :args (@t157)) % 2.23/2.51 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t157 (not (and @t71 @t70 @t76))))) % 2.23/2.51 (step @p167 :rule bool-and-de-morgan :args (@t77 @t71 (and @t70 @t76))) % 2.23/2.51 (step @p168 :rule trans :premises (@p167 @p166)) % 2.23/2.51 (step @p169 :rule refl :args (@t158)) % 2.23/2.51 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t158 (not (and @t77 @t71 @t70 @t76))))) % 2.23/2.51 (step @p171 :rule bool-and-de-morgan :args (@t78 @t77 (and @t71 @t70 @t76))) % 2.23/2.51 (step @p172 :rule trans :premises (@p171 @p170)) % 2.23/2.51 (step @p173 :rule trans :premises (@p172 @p159)) % 2.23/2.51 (step @p174 :rule nary_cong :premises (@p173 @p158) :args ((or (not @t79) @t75))) % 2.23/2.51 (step @p175 :rule trans :premises (@p174 @p157)) % 2.23/2.51 (step @p176 :rule bool-impl-elim :args (@t79 @t75)) % 2.23/2.51 (step @p177 :rule trans :premises (@p176 @p175)) % 2.23/2.51 (step @p178 :rule cong :premises (@p177) :args (@t81)) % 2.23/2.51 (step @p179 :rule eq_resolve :premises (@p30 @p178)) % 2.23/2.51 (step @p180 :rule instantiate :premises (@p179) :args ((@list tptp.n5 tptp.n10 tptp.ninf tptp.nsup))) % 2.23/2.51 (step @p181 :rule instantiate :premises (@p59) :args (@t160)) % 2.23/2.51 (step @p182 :rule instantiate :premises (@p58) :args (@t160)) % 2.23/2.51 (step @p183 :rule cnf_or_pos :args (@t166)) % 2.23/2.51 (step @p184 :rule reordering :premises (@p183) :args ((or @t107 @t161 @t154 @t152 @t165 @t163 (not @t166)))) % 2.23/2.51 (step @p185 :rule chain_m_resolution :premises (@p184 @p56 @p153 @p152 @p182 @p181 @p180) :args (@t107 (@list 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chain_m_resolution :premises (@p401 @p392) :args (@t249 @t127 (@list @t247))) % 2.23/2.51 (step @p403 :rule instantiate :premises (@p228) :args (@t195)) % 2.23/2.51 (step @p404 :rule refl :args (@t250)) % 2.23/2.51 (step @p405 :rule nary_cong :premises (@p292 @p404 @p289) :args ((or @t161 @t250 @t215))) % 2.23/2.51 (assume-push @p559 @t104) % 2.23/2.51 (assume-push @p560 @t196) % 2.23/2.51 (assume-push @p561 @t214) % 2.23/2.51 (step @p298 :rule evaluate :args (@t216)) % 2.23/2.51 (step @p299 :rule true_intro :premises (@p56)) % 2.23/2.51 (step @p262 :rule refl :args (tptp.n5)) % 2.23/2.51 (step @p409 :rule cong :premises (@p262 @p560) :args (@t212)) % 2.23/2.51 (step @p303 :rule false_intro :premises (@p288)) % 2.23/2.51 (step @p304 :rule symm :premises (@p303)) % 2.23/2.51 (step @p410 :rule trans :premises (@p304 @p409 @p299)) % 2.23/2.51 (step @p411 false :rule eq_resolve :premises (@p410 @p298)) % 2.23/2.51 (step-pop @p562 :rule scope :premises (@p411)) % 2.23/2.51 (step-pop @p563 :rule scope :premises (@p562)) % 2.23/2.51 (step-pop @p564 :rule scope :premises (@p563)) % 2.23/2.51 (step @p412 :rule process_scope :premises (@p564) :args (false)) % 2.23/2.51 (step @p416 :rule not_and :premises (@p412)) % 2.23/2.51 (step @p417 :rule eq_resolve :premises (@p416 @p405)) % 2.23/2.51 (step @p418 :rule chain_m_resolution :premises (@p417 @p56 @p288) :args (@t250 (@list false true) (@list @t104 @t212))) % 2.23/2.51 (step @p419 :rule cnf_or_pos :args (@t252)) % 2.23/2.51 (step @p420 :rule reordering :premises (@p419) :args ((or @t196 @t203 @t251 (not @t252)))) % 2.23/2.51 (step @p421 :rule chain_m_resolution :premises (@p420 @p418 @p256 @p403) :args (@t251 @t223 (@list @t196 @t198 @t252))) % 2.23/2.51 (step @p422 :rule cnf_equiv_pos1 :args (@t249)) % 2.23/2.51 (step @p423 :rule reordering :premises (@p422) :args ((or @t253 @t246 (not @t249)))) % 2.23/2.51 (step @p424 :rule chain_m_resolution :premises (@p423 @p421 @p402) :args (@t253 @t254 (@list @t246 @t249))) % 2.23/2.51 (step @p425 :rule cnf_or_pos :args (@t244)) % 2.23/2.51 (step @p426 :rule reordering :premises (@p425) :args ((or @t243 @t242 (not @t244)))) % 2.23/2.51 (step @p427 :rule chain_m_resolution :premises (@p426 @p424 @p389) :args (@t243 @t254 (@list @t242 @t244))) % 2.23/2.51 (step @p428 :rule cnf_equiv_pos1 :args (@t255)) % 2.23/2.51 (step @p429 :rule reordering :premises (@p428) :args ((or (not @t243) @t120 (not @t255)))) % 2.23/2.51 (step @p430 :rule chain_m_resolution :premises (@p429 @p427 @p85) :args (@t120 @t194 (@list @t243 @t255))) % 2.23/2.51 (step @p431 :rule cnf_or_neg :args (@t125 0)) % 2.23/2.51 (step @p432 :rule reordering :premises (@p431) :args ((or (not @t120) @t125))) % 2.23/2.51 (step @p433 :rule chain_m_resolution :premises (@p432 @p430) :args (@t125 @t127 (@list @t120))) % 2.23/2.51 (step @p434 :rule cnf_equiv_pos2 :args (@t126)) % 2.23/2.51 (step @p435 :rule reordering :premises (@p434) :args ((or @t122 (not @t125) (not @t126)))) % 2.23/2.51 (step @p436 :rule chain_m_resolution :premises (@p435 @p433 @p84) :args (@t122 @t194 (@list @t125 @t126))) % 2.23/2.51 (step @p437 :rule eq-symm :args (tptp.ninf tptp.n10)) % 2.23/2.51 (step @p438 :rule refl :args (@t257)) % 2.23/2.51 (step @p439 :rule refl :args (@t165)) % 2.23/2.51 (step @p440 :rule nary_cong :premises (@p439 @p438 @p437) :args (@t258)) % 2.23/2.51 (step @p441 :rule refl :args (@t259)) % 2.23/2.51 (step @p442 :rule cong :premises (@p441 @p440) :args ((=> @t259 @t258))) % 2.23/2.51 (assume-push @p565 @t259) % 2.23/2.51 (step @p444 :rule instantiate :premises (@p228) :args ((@list tptp.ninf tptp.n10))) % 2.23/2.51 (step-pop @p566 :rule scope :premises (@p444)) % 2.23/2.51 (step @p445 :rule process_scope :premises (@p566) :args (@t258)) % 2.23/2.51 (step @p447 :rule eq_resolve :premises (@p445 @p442)) % 2.23/2.51 (step @p448 :rule implies_elim :premises (@p447)) % 2.23/2.51 (step @p449 :rule chain_m_resolution :premises (@p448 @p228) :args (@t261 @t127 @t262)) % 2.23/2.51 (assume-push @p567 @t198) % 2.23/2.51 (assume-push @p568 @t260) % 2.23/2.51 (assume-push @p569 @t198) % 2.23/2.51 (assume-push @p570 @t260) % 2.23/2.51 (step @p261 :rule true_intro :premises (@p256)) % 2.23/2.51 (step @p454 :rule symm :premises (@p568)) % 2.23/2.51 (step @p262 :rule refl :args (tptp.n5)) % 2.23/2.51 (step @p455 :rule cong :premises (@p262 @p454) :args (@t263)) % 2.23/2.51 (step @p456 :rule trans :premises (@p455 @p261)) % 2.23/2.51 (step @p457 :rule true_elim :premises (@p456)) % 2.23/2.51 (step-pop @p571 :rule scope :premises (@p457)) % 2.23/2.51 (step-pop @p572 :rule scope :premises (@p571)) % 2.23/2.51 (step @p458 :rule process_scope :premises (@p572) :args (@t263)) % 2.23/2.51 (step @p461 :rule and_intro :premises (@p256 @p568)) % 2.23/2.51 (step @p462 :rule modus_ponens :premises (@p461 @p458)) % 2.23/2.51 (step-pop @p573 :rule scope :premises (@p462)) % 2.23/2.51 (step-pop @p574 :rule scope :premises (@p573)) % 2.23/2.51 (step @p463 :rule process_scope :premises (@p574) :args (@t263)) % 2.23/2.51 (step @p466 :rule implies_elim :premises (@p463)) % 2.23/2.51 (step @p467 :rule cnf_and_neg :args (@t264)) % 2.23/2.51 (step @p468 :rule resolution :premises (@p467 @p466) :args (true @t264)) % 2.23/2.51 (step @p469 :rule eq-symm :args (tptp.ninf tptp.n5)) % 2.23/2.51 (step @p470 :rule refl :args (@t265)) % 2.23/2.51 (step @p471 :rule refl :args (@t154)) % 2.23/2.51 (step @p472 :rule nary_cong :premises (@p471 @p470 @p469) :args (@t266)) % 2.23/2.51 (step @p473 :rule cong :premises (@p441 @p472) :args ((=> @t259 @t266))) % 2.23/2.51 (assume-push @p575 @t259) % 2.23/2.51 (step @p475 :rule instantiate :premises (@p228) :args ((@list tptp.ninf tptp.n5))) % 2.23/2.51 (step-pop @p576 :rule scope :premises (@p475)) % 2.23/2.51 (step @p476 :rule process_scope :premises (@p576) :args (@t266)) % 2.23/2.51 (step @p478 :rule eq_resolve :premises (@p476 @p473)) % 2.23/2.51 (step @p479 :rule implies_elim :premises (@p478)) % 2.23/2.51 (step @p480 :rule chain_m_resolution :premises (@p479 @p228) :args (@t268 @t127 @t262)) % 2.23/2.51 (step @p481 :rule cnf_or_pos :args (@t268)) % 2.23/2.51 (step @p482 :rule reordering :premises (@p481) :args ((or @t154 @t267 @t265 (not @t268)))) % 2.23/2.51 (step @p483 :rule refl :args (@t269)) % 2.23/2.51 (step @p484 :rule refl :args (@t270)) % 2.23/2.51 (step @p485 :rule nary_cong :premises (@p292 @p484 @p483 @p289) :args ((or @t161 @t270 @t269 @t215))) % 2.23/2.51 (assume-push @p577 @t104) % 2.23/2.51 (assume-push @p578 @t260) % 2.23/2.51 (assume-push @p579 @t267) % 2.23/2.51 (assume-push @p580 @t214) % 2.23/2.51 (step @p298 :rule evaluate :args (@t216)) % 2.23/2.51 (step @p299 :rule true_intro :premises (@p56)) % 2.23/2.51 (step @p490 :rule symm :premises (@p578)) % 2.23/2.51 (step @p491 :rule trans :premises (@p579 @p490)) % 2.23/2.51 (step @p262 :rule refl :args (tptp.n5)) % 2.23/2.51 (step @p492 :rule cong :premises (@p262 @p491) :args (@t212)) % 2.23/2.51 (step @p303 :rule false_intro :premises (@p288)) % 2.23/2.51 (step @p304 :rule symm :premises (@p303)) % 2.23/2.51 (step @p493 :rule trans :premises (@p304 @p492 @p299)) % 2.23/2.51 (step @p494 false :rule eq_resolve :premises (@p493 @p298)) % 2.23/2.51 (step-pop @p581 :rule scope :premises (@p494)) % 2.23/2.51 (step-pop @p582 :rule scope :premises (@p581)) % 2.23/2.51 (step-pop @p583 :rule scope :premises (@p582)) % 2.23/2.51 (step-pop @p584 :rule scope :premises (@p583)) % 2.23/2.51 (step @p495 :rule process_scope :premises (@p584) :args (false)) % 2.23/2.51 (assume-push @p585 @t104) % 2.23/2.51 (assume-push @p586 @t267) % 2.23/2.51 (assume-push @p587 @t260) % 2.23/2.51 (assume-push @p588 @t214) % 2.23/2.51 (step @p504 :rule and_intro :premises (@p56 @p587 @p586 @p288)) % 2.23/2.51 (step-pop @p589 :rule scope :premises (@p504)) % 2.23/2.51 (step-pop @p590 :rule scope :premises (@p589)) % 2.23/2.51 (step-pop @p591 :rule scope :premises (@p590)) % 2.23/2.51 (step-pop @p592 :rule scope :premises (@p591)) % 2.23/2.51 (step @p505 :rule process_scope :premises (@p592) :args (@t271)) % 2.23/2.51 (step @p510 :rule implies_elim :premises (@p505)) % 2.23/2.51 (step @p511 :rule resolution :premises (@p510 @p495) :args (true @t271)) % 2.23/2.51 (step @p512 :rule not_and :premises (@p511)) % 2.23/2.51 (step @p513 :rule eq_resolve :premises (@p512 @p485)) % 2.23/2.51 (step @p514 :rule chain_m_resolution :premises (@p513 @p288 @p56 @p482 @p480 @p153 @p468 @p256) :args (@t269 @t218 (@list @t212 @t104 @t267 @t268 @t153 @t263 @t198))) % 2.23/2.51 (step @p515 :rule cnf_or_pos :args (@t261)) % 2.23/2.51 (step @p516 :rule reordering :premises (@p515) :args ((or @t165 @t260 @t257 (not @t261)))) % 2.23/2.51 (step @p517 :rule chain_m_resolution :premises (@p516 @p182 @p514 @p449) :args (@t257 @t272 (@list @t164 @t260 @t261))) % 2.23/2.51 (step @p518 :rule cnf_or_pos :args (@t274)) % 2.23/2.51 (step @p519 :rule reordering :premises (@p518) :args ((or @t163 @t256 @t273 @t275))) % 2.23/2.51 (step @p520 :rule chain_m_resolution :premises (@p519 @p181 @p517 @p436) :args (@t275 @t272 (@list @t162 @t256 @t122))) % 2.23/2.53 (assume-push @p593 @t276) % 2.23/2.53 (step @p522 :rule instantiate :premises (@p70) :args ((@list tptp.n10 tptp.nsup tptp.ninf))) % 2.23/2.53 (step-pop @p594 :rule scope :premises (@p522)) % 2.23/2.53 (step @p523 :rule process_scope :premises (@p594) :args (@t274)) % 2.23/2.53 (step @p525 :rule implies_elim :premises (@p523)) % 2.23/2.53 (step @p526 false :rule chain_m_resolution :premises (@p525 @p520 @p70) :args (false @t254 (@list @t274 @t276))) % 2.23/2.53 ) % 2.23/2.53 % SZS output end Proof % 2.23/2.53 % cvc5 exiting %------------------------------------------------------------------------------