%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC366+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:59:02 AM UTC 2026 % Result : Theorem 16.18s 16.53s % Output : Proof 16.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC366+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 : Tue Jun 2 19:44:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.18/16.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.18/16.53 --- Run --no-e-matching --full-saturate-quant at 6... % 16.18/16.53 % SZS status Theorem % 16.18/16.53 % SZS output start Proof % 16.18/16.53 ( % 16.18/16.53 (declare-sort $$unsorted 0) % 16.18/16.53 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 16.18/16.53 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 16.18/16.53 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 16.18/16.53 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 16.18/16.53 (declare-const tptp.nil $$unsorted) % 16.18/16.53 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.ssList (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 16.18/16.53 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.18/16.53 (define @t1 () (@var "V" $$unsorted)) % 16.18/16.53 (define @t2 () (@var "U" $$unsorted)) % 16.18/16.53 (define @t3 () (= @t2 @t1)) % 16.18/16.53 (define @t4 () (not @t3)) % 16.18/16.53 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 16.18/16.53 (define @t6 () (tptp.ssItem @t1)) % 16.18/16.53 (define @t7 () (@list @t1)) % 16.18/16.53 (define @t8 () (tptp.ssItem @t2)) % 16.18/16.53 (define @t9 () (@list @t2)) % 16.18/16.53 (define @t10 () (@var "X" $$unsorted)) % 16.18/16.53 (define @t11 () (tptp.cons @t1 @t10)) % 16.18/16.53 (define @t12 () (@var "W" $$unsorted)) % 16.18/16.53 (define @t13 () (tptp.ssList @t10)) % 16.18/16.53 (define @t14 () (@list @t10)) % 16.18/16.53 (define @t15 () (tptp.ssList @t12)) % 16.18/16.53 (define @t16 () (@list @t12)) % 16.18/16.53 (define @t17 () (tptp.ssList @t2)) % 16.18/16.53 (define @t18 () (tptp.cons @t1 tptp.nil)) % 16.18/16.53 (define @t19 () (tptp.app @t1 @t12)) % 16.18/16.53 (define @t20 () (tptp.frontsegP @t2 @t1)) % 16.18/16.53 (define @t21 () (tptp.ssList @t1)) % 16.18/16.53 (define @t22 () (tptp.app @t12 @t1)) % 16.18/16.53 (define @t23 () (and @t15 (= @t22 @t2))) % 16.18/16.53 (define @t24 () (exists @t16 @t23)) % 16.18/16.53 (define @t25 () (tptp.rearsegP @t2 @t1)) % 16.18/16.53 (define @t26 () (= @t25 @t24)) % 16.18/16.53 (define @t27 () (=> @t21 @t26)) % 16.18/16.53 (define @t28 () (forall @t7 @t27)) % 16.18/16.53 (define @t29 () (=> @t17 @t28)) % 16.18/16.53 (define @t30 () (forall @t9 @t29)) % 16.18/16.53 (define @t31 () (tptp.segmentP @t2 @t1)) % 16.18/16.53 (define @t32 () (tptp.leq @t12 @t1)) % 16.18/16.53 (define @t33 () (tptp.leq @t1 @t12)) % 16.18/16.53 (define @t34 () (@var "Z" $$unsorted)) % 16.18/16.53 (define @t35 () (@var "Y" $$unsorted)) % 16.18/16.53 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 16.18/16.53 (define @t37 () (tptp.ssList @t34)) % 16.18/16.53 (define @t38 () (@list @t34)) % 16.18/16.53 (define @t39 () (tptp.ssList @t35)) % 16.18/16.53 (define @t40 () (@list @t35)) % 16.18/16.53 (define @t41 () (tptp.ssItem @t12)) % 16.18/16.53 (define @t42 () (tptp.lt @t1 @t12)) % 16.18/16.53 (define @t43 () (= @t1 @t12)) % 16.18/16.53 (define @t44 () (forall @t7 (=> @t21 @t5))) % 16.18/16.53 (define @t45 () (=> @t17 @t44)) % 16.18/16.53 (define @t46 () (forall @t9 @t45)) % 16.18/16.53 (define @t47 () (tptp.cons @t1 @t2)) % 16.18/16.53 (define @t48 () (tptp.ssList @t47)) % 16.18/16.53 (define @t49 () (forall @t7 (=> @t6 @t48))) % 16.18/16.53 (define @t50 () (=> @t17 @t49)) % 16.18/16.53 (define @t51 () (forall @t9 @t50)) % 16.18/16.53 (define @t52 () (tptp.ssList tptp.nil)) % 16.18/16.53 (define @t53 () (= @t1 @t2)) % 16.18/16.53 (define @t54 () (tptp.cons @t12 @t1)) % 16.18/16.53 (define @t55 () (= tptp.nil @t2)) % 16.18/16.53 (define @t56 () (tptp.hd @t2)) % 16.18/16.53 (define @t57 () (tptp.ssItem @t56)) % 16.18/16.53 (define @t58 () (not @t55)) % 16.18/16.53 (define @t59 () (=> @t58 @t57)) % 16.18/16.53 (define @t60 () (=> @t17 @t59)) % 16.18/16.53 (define @t61 () (forall @t9 @t60)) % 16.18/16.53 (define @t62 () (tptp.tl @t2)) % 16.18/16.53 (define @t63 () (tptp.app @t2 @t1)) % 16.18/16.53 (define @t64 () (tptp.ssList @t63)) % 16.18/16.53 (define @t65 () (forall @t7 (=> @t21 @t64))) % 16.18/16.53 (define @t66 () (=> @t17 @t65)) % 16.18/16.53 (define @t67 () (forall @t9 @t66)) % 16.18/16.53 (define @t68 () (tptp.app @t1 @t2)) % 16.18/16.53 (define @t69 () (tptp.leq @t1 @t2)) % 16.18/16.53 (define @t70 () (tptp.leq @t2 @t1)) % 16.18/16.53 (define @t71 () (tptp.geq @t2 @t1)) % 16.18/16.53 (define @t72 () (tptp.lt @t1 @t2)) % 16.18/16.53 (define @t73 () (tptp.lt @t2 @t1)) % 16.18/16.53 (define @t74 () (tptp.lt @t2 @t12)) % 16.18/16.53 (define @t75 () (tptp.gt @t2 @t1)) % 16.18/16.53 (define @t76 () (tptp.memberP @t12 @t2)) % 16.18/16.53 (define @t77 () (tptp.rearsegP @t1 @t2)) % 16.18/16.53 (define @t78 () (tptp.app @t12 @t2)) % 16.18/16.53 (define @t79 () (tptp.cons @t2 tptp.nil)) % 16.18/16.53 (define @t80 () (tptp.hd @t1)) % 16.18/16.53 (define @t81 () (= tptp.nil @t1)) % 16.18/16.53 (define @t82 () (not @t81)) % 16.18/16.53 (define @t83 () (tptp.cons @t2 @t1)) % 16.18/16.53 (define @t84 () (= @t12 @t2)) % 16.18/16.53 (define @t85 () (tptp.neq @t1 tptp.nil)) % 16.18/16.53 (define @t86 () (not @t85)) % 16.18/16.53 (define @t87 () (or @t86 (tptp.neq @t10 tptp.nil))) % 16.18/16.53 (define @t88 () (tptp.neq tptp.nil @t10)) % 16.18/16.53 (define @t89 () (@var "X1" $$unsorted)) % 16.18/16.53 (define @t90 () (tptp.hd @t10)) % 16.18/16.53 (define @t91 () (tptp.cons @t89 tptp.nil)) % 16.18/16.53 (define @t92 () (tptp.ssItem @t89)) % 16.18/16.53 (define @t93 () (and @t92 (= @t91 @t34) (= @t90 @t89) @t88)) % 16.18/16.53 (define @t94 () (@list @t89)) % 16.18/16.53 (define @t95 () (exists @t94 @t93)) % 16.18/16.53 (define @t96 () (tptp.app @t34 @t12)) % 16.18/16.53 (define @t97 () (and @t37 (= @t96 @t35) @t95)) % 16.18/16.53 (define @t98 () (exists @t38 @t97)) % 16.18/16.53 (define @t99 () (= @t10 @t35)) % 16.18/16.53 (define @t100 () (not @t99)) % 16.18/16.53 (define @t101 () (and @t39 @t100 @t98)) % 16.18/16.53 (define @t102 () (exists @t40 @t101)) % 16.18/16.53 (define @t103 () (or @t86 @t102 @t77)) % 16.18/16.53 (define @t104 () (and @t103 @t87)) % 16.18/16.53 (define @t105 () (not (= @t2 @t12))) % 16.18/16.53 (define @t106 () (not (= @t1 @t10))) % 16.18/16.53 (define @t107 () (or @t106 @t105 @t104)) % 16.18/16.53 (define @t108 () (=> @t13 @t107)) % 16.18/16.53 (define @t109 () (forall @t14 @t108)) % 16.18/16.53 (define @t110 () (=> @t15 @t109)) % 16.18/16.53 (define @t111 () (forall @t16 @t110)) % 16.18/16.53 (define @t112 () (=> @t21 @t111)) % 16.18/16.53 (define @t113 () (forall @t7 @t112)) % 16.18/16.53 (define @t114 () (=> @t17 @t113)) % 16.18/16.53 (define @t115 () (forall @t9 @t114)) % 16.18/16.53 (define @t116 () (not @t115)) % 16.18/16.53 (define @t117 () (@var "BOUND_VARIABLE_8357" $$unsorted)) % 16.18/16.53 (define @t118 () (not @t15)) % 16.18/16.53 (define @t119 () (= (tptp.rearsegP @t2 @t117) (not (forall @t16 (or @t118 (not (= @t2 (tptp.app @t12 @t117)))))))) % 16.18/16.53 (define @t120 () (not (tptp.ssList @t117))) % 16.18/16.53 (define @t121 () (not @t17)) % 16.18/16.53 (define @t122 () (or @t120 @t119)) % 16.18/16.53 (define @t123 () (or @t121 @t122)) % 16.18/16.53 (define @t124 () (forall (@list @t2 @t117) @t123)) % 16.18/16.53 (define @t125 () (@list @t117)) % 16.18/16.53 (define @t126 () (forall @t125 @t123)) % 16.18/16.53 (define @t127 () (forall @t125 @t122)) % 16.18/16.53 (define @t128 () (@list @t1)) % 16.18/16.53 (define @t129 () (or @t121 @t127)) % 16.18/16.53 (define @t130 () (= @t2 @t22)) % 16.18/16.53 (define @t131 () (= @t25 (not (forall @t16 (or @t118 (not @t130)))))) % 16.18/16.53 (define @t132 () (not @t21)) % 16.18/16.53 (define @t133 () (forall @t7 (or @t132 @t131))) % 16.18/16.53 (define @t134 () (and @t15 @t130)) % 16.18/16.53 (define @t135 () (forall @t16 (not @t134))) % 16.18/16.53 (define @t136 () (not @t135)) % 16.18/16.53 (define @t137 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 16.18/16.53 (define @t138 () (tptp.hd @t137)) % 16.18/16.53 (define @t139 () (tptp.cons @t138 tptp.nil)) % 16.18/16.53 (define @t140 () (tptp.app @t139 @t2)) % 16.18/16.53 (define @t141 () (and (tptp.neq tptp.nil @t137) (tptp.ssItem @t138) (tptp.ssList @t139) (tptp.ssList @t140) (not (= @t137 @t140)))) % 16.18/16.53 (define @t142 () (tptp.rearsegP @t137 @t2)) % 16.18/16.53 (define @t143 () (not (tptp.neq @t137 tptp.nil))) % 16.18/16.53 (define @t144 () (not (tptp.ssList @t137))) % 16.18/16.53 (define @t145 () (or @t121 @t144 @t143 @t142 @t141)) % 16.18/16.53 (define @t146 () (@list @t2 @t137)) % 16.18/16.53 (define @t147 () (forall @t146 @t145)) % 16.18/16.53 (define @t148 () (@quantifiers_skolemize @t147 0)) % 16.18/16.53 (define @t149 () (@quantifiers_skolemize @t147 1)) % 16.18/16.53 (define @t150 () (or @t144 @t143 @t142 @t141)) % 16.18/16.53 (define @t151 () (or @t121 @t150)) % 16.18/16.53 (define @t152 () (forall @t146 @t151)) % 16.18/16.53 (define @t153 () (@list @t137)) % 16.18/16.53 (define @t154 () (forall @t153 @t151)) % 16.18/16.53 (define @t155 () (forall @t153 @t150)) % 16.18/16.53 (define @t156 () (or @t121 @t155)) % 16.18/16.53 (define @t157 () (tptp.cons @t80 tptp.nil)) % 16.18/16.53 (define @t158 () (tptp.app @t157 @t2)) % 16.18/16.53 (define @t159 () (tptp.ssList @t157)) % 16.18/16.53 (define @t160 () (tptp.ssItem @t80)) % 16.18/16.53 (define @t161 () (tptp.neq tptp.nil @t1)) % 16.18/16.53 (define @t162 () (and @t161 @t160 @t159 (tptp.ssList @t158) (not (= @t1 @t158)))) % 16.18/16.53 (define @t163 () (or @t132 @t86 @t77 @t162)) % 16.18/16.53 (define @t164 () (or @t121 (forall @t7 @t163))) % 16.18/16.53 (define @t165 () (or @t121 @t163)) % 16.18/16.53 (define @t166 () (or @t132 @t86 @t77 @t121 @t162)) % 16.18/16.53 (define @t167 () (or @t121 @t162)) % 16.18/16.53 (define @t168 () (not (= @t2 @t2))) % 16.18/16.53 (define @t169 () (or @t121 @t168 @t162)) % 16.18/16.53 (define @t170 () (tptp.app @t157 @t12)) % 16.18/16.53 (define @t171 () (and @t161 @t160 @t159 (tptp.ssList @t170) (not (= @t1 @t170)))) % 16.18/16.53 (define @t172 () (or @t105 @t118 @t105 @t171)) % 16.18/16.53 (define @t173 () (or @t118 @t105 @t171)) % 16.18/16.53 (define @t174 () (forall @t16 @t173)) % 16.18/16.53 (define @t175 () (or @t132 @t86 @t77 @t174)) % 16.18/16.53 (define @t176 () (or @t132 @t86 @t77 @t173)) % 16.18/16.53 (define @t177 () (or @t118 @t105 @t132 @t86 @t171 @t77)) % 16.18/16.53 (define @t178 () (or @t86 @t171 @t77)) % 16.18/16.53 (define @t179 () (and @t178 true)) % 16.18/16.53 (define @t180 () (or @t118 @t105 @t132 @t179)) % 16.18/16.53 (define @t181 () (and @t178 (or @t86 @t85))) % 16.18/16.53 (define @t182 () (or @t105 @t132 @t181)) % 16.18/16.53 (define @t183 () (or @t132 @t181)) % 16.18/16.53 (define @t184 () (not (= @t1 @t1))) % 16.18/16.53 (define @t185 () (or @t132 @t184 @t181)) % 16.18/16.53 (define @t186 () (tptp.cons @t90 tptp.nil)) % 16.18/16.53 (define @t187 () (tptp.app @t186 @t12)) % 16.18/16.53 (define @t188 () (= @t10 @t187)) % 16.18/16.53 (define @t189 () (not @t188)) % 16.18/16.53 (define @t190 () (tptp.ssList @t187)) % 16.18/16.53 (define @t191 () (tptp.ssList @t186)) % 16.18/16.53 (define @t192 () (tptp.ssItem @t90)) % 16.18/16.53 (define @t193 () (and (or @t86 (and @t88 @t192 @t191 @t190 @t189) @t77) @t87)) % 16.18/16.53 (define @t194 () (not @t13)) % 16.18/16.53 (define @t195 () (or @t106 @t194 @t106 @t193)) % 16.18/16.53 (define @t196 () (or @t194 @t106 @t193)) % 16.18/16.53 (define @t197 () (forall @t14 @t196)) % 16.18/16.53 (define @t198 () (or @t105 @t197)) % 16.18/16.53 (define @t199 () (or @t105 @t196)) % 16.18/16.53 (define @t200 () (or @t194 @t106 @t105 @t193)) % 16.18/16.53 (define @t201 () (not @t190)) % 16.18/16.53 (define @t202 () (not @t201)) % 16.18/16.53 (define @t203 () (not @t191)) % 16.18/16.53 (define @t204 () (not @t203)) % 16.18/16.53 (define @t205 () (not @t192)) % 16.18/16.53 (define @t206 () (not @t205)) % 16.18/16.53 (define @t207 () (not @t88)) % 16.18/16.53 (define @t208 () (not @t207)) % 16.18/16.53 (define @t209 () (and @t208 @t206 @t204 @t202 @t189)) % 16.18/16.53 (define @t210 () (or @t201 @t188)) % 16.18/16.53 (define @t211 () (or @t207 @t205 @t203 @t201 @t188)) % 16.18/16.53 (define @t212 () (or @t86 (not @t211) @t77)) % 16.18/16.53 (define @t213 () (and @t212 @t87)) % 16.18/16.53 (define @t214 () (or @t106 @t105 @t213)) % 16.18/16.53 (define @t215 () (not (= @t187 @t187))) % 16.18/16.53 (define @t216 () (or @t201 @t188 @t215)) % 16.18/16.53 (define @t217 () (not (= @t35 @t187))) % 16.18/16.53 (define @t218 () (not @t39)) % 16.18/16.53 (define @t219 () (or @t217 @t218 @t99 @t217)) % 16.18/16.53 (define @t220 () (or @t218 @t99 @t217)) % 16.18/16.53 (define @t221 () (forall @t40 @t220)) % 16.18/16.53 (define @t222 () (or @t207 @t205 @t203 @t221)) % 16.18/16.53 (define @t223 () (or @t207 @t205 @t203 @t220)) % 16.18/16.53 (define @t224 () (or @t218 @t99 @t207 @t205 @t203 @t217)) % 16.18/16.53 (define @t225 () (or @t207 @t205 @t203 @t217)) % 16.18/16.53 (define @t226 () (not @t225)) % 16.18/16.53 (define @t227 () (not @t226)) % 16.18/16.53 (define @t228 () (not @t100)) % 16.18/16.53 (define @t229 () (or @t218 @t228 @t227)) % 16.18/16.53 (define @t230 () (and @t39 @t100 @t226)) % 16.18/16.53 (define @t231 () (forall @t40 (not @t230))) % 16.18/16.53 (define @t232 () (not @t231)) % 16.18/16.53 (define @t233 () (or @t203 @t217)) % 16.18/16.53 (define @t234 () (not (= @t186 @t186))) % 16.18/16.53 (define @t235 () (or @t203 @t217 @t234)) % 16.18/16.53 (define @t236 () (not (= @t34 @t186))) % 16.18/16.53 (define @t237 () (= @t35 @t96)) % 16.18/16.53 (define @t238 () (not @t237)) % 16.18/16.53 (define @t239 () (not @t37)) % 16.18/16.53 (define @t240 () (or @t236 @t239 @t238 @t236)) % 16.18/16.53 (define @t241 () (or @t239 @t238 @t236)) % 16.18/16.53 (define @t242 () (forall @t38 @t241)) % 16.18/16.53 (define @t243 () (or @t207 @t205 @t242)) % 16.18/16.53 (define @t244 () (or @t207 @t205 @t241)) % 16.18/16.53 (define @t245 () (or @t239 @t238 @t207 @t205 @t236)) % 16.18/16.53 (define @t246 () (or @t207 @t205 @t236)) % 16.18/16.53 (define @t247 () (not @t246)) % 16.18/16.53 (define @t248 () (not @t247)) % 16.18/16.53 (define @t249 () (or @t239 @t238 @t248)) % 16.18/16.53 (define @t250 () (and @t37 @t237 @t247)) % 16.18/16.53 (define @t251 () (forall @t38 (not @t250))) % 16.18/16.53 (define @t252 () (not @t251)) % 16.18/16.53 (define @t253 () (or @t205 @t236)) % 16.18/16.53 (define @t254 () (not (= @t90 @t90))) % 16.18/16.53 (define @t255 () (or @t205 @t236 @t254)) % 16.18/16.53 (define @t256 () (= @t89 @t90)) % 16.18/16.53 (define @t257 () (not @t256)) % 16.18/16.53 (define @t258 () (= @t34 @t91)) % 16.18/16.53 (define @t259 () (not @t258)) % 16.18/16.53 (define @t260 () (not @t92)) % 16.18/16.53 (define @t261 () (or @t257 @t260 @t259 @t257)) % 16.18/16.53 (define @t262 () (or @t260 @t259 @t257)) % 16.18/16.53 (define @t263 () (forall @t94 @t262)) % 16.18/16.53 (define @t264 () (or @t207 @t263)) % 16.18/16.53 (define @t265 () (or @t207 @t262)) % 16.18/16.53 (define @t266 () (or @t260 @t259 @t257 @t207)) % 16.18/16.53 (define @t267 () (and @t92 @t258 @t256 @t88)) % 16.18/16.53 (define @t268 () (forall @t94 (not @t267))) % 16.18/16.53 (define @t269 () (not @t268)) % 16.18/16.53 (define @t270 () (tptp.ssList @t149)) % 16.18/16.53 (define @t271 () (tptp.hd @t149)) % 16.18/16.53 (define @t272 () (tptp.cons @t271 tptp.nil)) % 16.18/16.53 (define @t273 () (tptp.app @t272 @t148)) % 16.18/16.53 (define @t274 () (= @t149 @t273)) % 16.18/16.53 (define @t275 () (not @t274)) % 16.18/16.53 (define @t276 () (tptp.ssList @t273)) % 16.18/16.53 (define @t277 () (tptp.ssList @t272)) % 16.18/16.53 (define @t278 () (tptp.ssItem @t271)) % 16.18/16.53 (define @t279 () (tptp.neq tptp.nil @t149)) % 16.18/16.53 (define @t280 () (and @t279 @t278 @t277 @t276 @t275)) % 16.18/16.53 (define @t281 () (tptp.rearsegP @t149 @t148)) % 16.18/16.53 (define @t282 () (tptp.neq @t149 tptp.nil)) % 16.18/16.53 (define @t283 () (not @t282)) % 16.18/16.53 (define @t284 () (not @t270)) % 16.18/16.53 (define @t285 () (tptp.ssList @t148)) % 16.18/16.53 (define @t286 () (not @t285)) % 16.18/16.53 (define @t287 () (or @t286 @t284 @t283 @t281 @t280)) % 16.18/16.53 (define @t288 () (@list true)) % 16.18/16.53 (define @t289 () (@list @t287)) % 16.18/16.53 (define @t290 () (forall @t16 (or @t118 (not (= @t149 (tptp.app @t12 @t148)))))) % 16.18/16.53 (define @t291 () (not @t290)) % 16.18/16.53 (define @t292 () (= @t281 @t291)) % 16.18/16.53 (define @t293 () (or @t284 @t286 @t292)) % 16.18/16.53 (define @t294 () (@list false false false)) % 16.18/16.53 (define @t295 () (not @t292)) % 16.18/16.53 (define @t296 () (@list true false)) % 16.18/16.53 (define @t297 () (@var "BOUND_VARIABLE_9132" $$unsorted)) % 16.18/16.53 (define @t298 () (tptp.ssList (tptp.cons @t297 @t2))) % 16.18/16.53 (define @t299 () (not (tptp.ssItem @t297))) % 16.18/16.53 (define @t300 () (or @t299 @t298)) % 16.18/16.53 (define @t301 () (or @t121 @t300)) % 16.18/16.53 (define @t302 () (forall (@list @t2 @t297) @t301)) % 16.18/16.53 (define @t303 () (@list @t297)) % 16.18/16.53 (define @t304 () (forall @t303 @t301)) % 16.18/16.53 (define @t305 () (forall @t303 @t300)) % 16.18/16.53 (define @t306 () (or @t121 @t305)) % 16.18/16.53 (define @t307 () (forall @t7 (or (not @t6) @t48))) % 16.18/16.53 (define @t308 () (= @t2 tptp.nil)) % 16.18/16.53 (define @t309 () (or @t121 @t308 @t57)) % 16.18/16.53 (define @t310 () (not @t308)) % 16.18/16.53 (define @t311 () (=> @t310 @t57)) % 16.18/16.53 (define @t312 () (= @t149 tptp.nil)) % 16.18/16.53 (define @t313 () (or @t284 @t312 @t278)) % 16.18/16.53 (define @t314 () (forall @t9 @t309)) % 16.18/16.53 (define @t315 () (= tptp.nil @t149)) % 16.18/16.53 (define @t316 () (or @t284 @t315 @t278)) % 16.18/16.53 (define @t317 () (@list false)) % 16.18/16.53 (define @t318 () (@var "BOUND_VARIABLE_9111" $$unsorted)) % 16.18/16.53 (define @t319 () (= (tptp.neq @t2 @t318) (not (= @t2 @t318)))) % 16.18/16.53 (define @t320 () (not (tptp.ssList @t318))) % 16.18/16.53 (define @t321 () (or @t121 @t320 @t319)) % 16.18/16.53 (define @t322 () (or @t320 @t319)) % 16.18/16.53 (define @t323 () (or @t121 @t322)) % 16.18/16.53 (define @t324 () (@list @t2 @t318)) % 16.18/16.53 (define @t325 () (forall @t324 @t323)) % 16.18/16.53 (define @t326 () (@list @t318)) % 16.18/16.53 (define @t327 () (forall @t326 @t323)) % 16.18/16.53 (define @t328 () (forall @t326 @t322)) % 16.18/16.53 (define @t329 () (or @t121 @t328)) % 16.18/16.53 (define @t330 () (forall @t7 (or @t132 @t5))) % 16.18/16.53 (define @t331 () (not @t312)) % 16.18/16.53 (define @t332 () (= @t282 @t331)) % 16.18/16.53 (define @t333 () (not @t52)) % 16.18/16.53 (define @t334 () (or @t284 @t333 @t332)) % 16.18/16.53 (define @t335 () (forall @t324 @t321)) % 16.18/16.53 (define @t336 () (not @t315)) % 16.18/16.53 (define @t337 () (= @t282 @t336)) % 16.18/16.53 (define @t338 () (or @t284 @t333 @t337)) % 16.18/16.53 (define @t339 () (@list false false)) % 16.18/16.53 (define @t340 () (not @t278)) % 16.18/16.53 (define @t341 () (or @t333 @t340 @t277)) % 16.18/16.53 (define @t342 () (@var "BOUND_VARIABLE_9376" $$unsorted)) % 16.18/16.53 (define @t343 () (tptp.ssList (tptp.app @t2 @t342))) % 16.18/16.53 (define @t344 () (not (tptp.ssList @t342))) % 16.18/16.53 (define @t345 () (or @t344 @t343)) % 16.18/16.53 (define @t346 () (or @t121 @t345)) % 16.18/16.53 (define @t347 () (forall (@list @t2 @t342) @t346)) % 16.18/16.53 (define @t348 () (@list @t342)) % 16.18/16.53 (define @t349 () (forall @t348 @t346)) % 16.18/16.53 (define @t350 () (forall @t348 @t345)) % 16.18/16.53 (define @t351 () (or @t121 @t350)) % 16.18/16.53 (define @t352 () (forall @t7 (or @t132 @t64))) % 16.18/16.53 (define @t353 () (not @t277)) % 16.18/16.53 (define @t354 () (or @t353 @t286 @t276)) % 16.18/16.53 (define @t355 () (= @t279 @t336)) % 16.18/16.53 (define @t356 () (or @t333 @t284 @t355)) % 16.18/16.53 (define @t357 () (not @t355)) % 16.18/16.53 (define @t358 () (not @t276)) % 16.18/16.53 (define @t359 () (not @t279)) % 16.18/16.53 (define @t360 () (or @t353 @t275)) % 16.18/16.53 (define @t361 () (not @t360)) % 16.18/16.53 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 16.18/16.53 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 16.18/16.53 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 16.18/16.53 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 16.18/16.53 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 16.18/16.53 (assume @p6 @t30) % 16.18/16.53 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 16.18/16.53 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 16.18/16.53 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 16.18/16.53 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 16.18/16.53 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 16.18/16.53 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 16.18/16.53 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 16.18/16.53 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 16.18/16.53 (assume @p15 @t46) % 16.18/16.53 (assume @p16 @t51) % 16.18/16.53 (assume @p17 @t52) % 16.18/16.53 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 16.18/16.53 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 16.18/16.53 (assume @p20 (forall @t9 (=> @t17 (or @t55 (exists @t7 (and @t21 (exists @t16 (and @t41 (= @t54 @t2))))))))) % 16.18/16.53 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 16.18/16.53 (assume @p22 @t61) % 16.18/16.53 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 16.18/16.53 (assume @p24 (forall @t9 (=> @t17 (=> @t58 (tptp.ssList @t62))))) % 16.18/16.53 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 16.18/16.53 (assume @p26 @t67) % 16.18/16.53 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t68) (tptp.app @t54 @t2))))))))) % 16.18/16.53 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 16.18/16.53 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t70 @t69) @t3)))))) % 16.18/16.53 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t70 @t33) (tptp.leq @t2 @t12))))))))) % 16.18/16.53 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 16.18/16.53 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t71 @t69)))))) % 16.18/16.53 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t73 (not @t72))))))) % 16.18/16.53 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t73 @t42) @t74)))))))) % 16.18/16.53 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t72)))))) % 16.18/16.53 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t76))))))))) % 16.18/16.53 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t76))))))))) % 16.18/16.53 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 16.18/16.53 (assume @p39 (not (tptp.singletonP tptp.nil))) % 16.18/16.53 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 16.18/16.53 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 16.18/16.53 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 16.18/16.53 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 16.18/16.53 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 16.18/16.53 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 16.18/16.53 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t55)))) % 16.18/16.53 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 16.18/16.53 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t25 @t77) @t3)))))) % 16.18/16.53 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 16.18/16.53 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t25 (tptp.rearsegP @t78 @t1))))))))) % 16.18/16.53 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 16.18/16.53 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t55)))) % 16.18/16.53 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 16.18/16.53 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 16.18/16.53 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 16.18/16.53 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t31 (tptp.segmentP (tptp.app @t78 @t10) @t1))))))))))) % 16.18/16.53 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 16.18/16.53 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t55)))) % 16.18/16.53 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 16.18/16.53 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 16.18/16.53 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 16.18/16.53 (assume @p62 (tptp.totalorderP tptp.nil)) % 16.18/16.53 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 16.18/16.53 (assume @p64 (tptp.strictorderP tptp.nil)) % 16.18/16.53 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 16.18/16.53 (assume @p66 (tptp.totalorderedP tptp.nil)) % 16.18/16.53 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 16.18/16.53 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 16.18/16.53 (assume @p69 (tptp.strictorderedP tptp.nil)) % 16.18/16.53 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 16.18/16.53 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 16.18/16.53 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 16.18/16.53 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 16.18/16.53 (assume @p74 (tptp.equalelemsP tptp.nil)) % 16.18/16.53 (assume @p75 (forall @t9 (=> @t17 (=> @t58 (exists @t7 (and @t6 (= @t56 @t1))))))) % 16.18/16.53 (assume @p76 (forall @t9 (=> @t17 (=> @t58 (exists @t7 (and @t21 (= @t62 @t1))))))) % 16.18/16.53 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t82 @t58 (= @t80 @t56) (= (tptp.tl @t1) @t62)) @t53)))))) % 16.18/16.53 (assume @p78 (forall @t9 (=> @t17 (=> @t58 (= (tptp.cons @t56 @t62) @t2))))) % 16.18/16.53 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t63) @t84)))))))) % 16.18/16.53 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t68) @t84)))))))) % 16.18/16.53 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 16.18/16.53 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t63 @t12) (tptp.app @t2 @t19))))))))) % 16.18/16.53 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t63) (and @t81 @t55))))))) % 16.18/16.53 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 16.18/16.53 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t58 (= (tptp.hd @t63) @t56))))))) % 16.18/16.53 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t58 (= (tptp.tl @t63) (tptp.app @t62 @t1)))))))) % 16.18/16.53 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t71 (tptp.geq @t1 @t2)) @t3)))))) % 16.18/16.53 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t71 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 16.18/16.53 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 16.18/16.53 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 16.18/16.53 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t70 @t42) @t74)))))))) % 16.18/16.53 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (or @t3 @t73))))))) % 16.18/16.53 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t73 (and @t4 @t70))))))) % 16.18/16.53 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (not (tptp.gt @t1 @t2)))))))) % 16.18/16.53 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t75 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 16.18/16.53 (assume @p96 @t116) % 16.18/16.53 (assume @p97 true) % 16.18/16.53 (step @p98 :rule aci_norm :args ((= @t123 (or @t121 @t120 @t119)))) % 16.18/16.53 (step @p99 :rule cong :premises (@p98) :args (@t124)) % 16.18/16.53 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t126) @t124))) % 16.18/16.53 (step @p101 :rule alpha_equiv :args (@t127 (@list @t117) @t128)) % 16.18/16.53 (step @p102 :rule refl :args (@t121)) % 16.18/16.53 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t129)) % 16.18/16.53 (step @p104 :rule quant-miniscope-or :args ((= @t126 @t129))) % 16.18/16.53 (step @p105 :rule trans :premises (@p104 @p103)) % 16.18/16.53 (step @p106 :rule symm :premises (@p105)) % 16.18/16.53 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t121 @t133)))) % 16.18/16.53 (step @p108 :rule trans :premises (@p107 @p100)) % 16.18/16.53 (step @p109 :rule trans :premises (@p108 @p99)) % 16.18/16.53 (step @p110 :rule bool-impl-elim :args (@t17 @t133)) % 16.18/16.53 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t133)))) % 16.18/16.53 (step @p112 :rule trans :premises (@p111 @p109)) % 16.18/16.53 (step @p113 :rule bool-impl-elim :args (@t21 @t131)) % 16.18/16.53 (step @p114 :rule cong :premises (@p113) :args ((forall @t7 (=> @t21 @t131)))) % 16.18/16.53 (step @p115 :rule bool-and-de-morgan :args (@t15 @t130 true)) % 16.18/16.53 (step @p116 :rule cong :premises (@p115) :args (@t135)) % 16.18/16.53 (step @p117 :rule cong :premises (@p116) :args (@t136)) % 16.18/16.53 (step @p118 :rule exists-elim :args ((= (exists @t16 @t134) @t136))) % 16.18/16.53 (step @p119 :rule trans :premises (@p118 @p117)) % 16.18/16.53 (step @p120 :rule eq-symm :args (@t22 @t2)) % 16.18/16.53 (step @p121 :rule refl :args (@t15)) % 16.18/16.53 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t23)) % 16.18/16.53 (step @p123 :rule cong :premises (@p122) :args (@t24)) % 16.18/16.53 (step @p124 :rule trans :premises (@p123 @p119)) % 16.18/16.53 (step @p125 :rule refl :args (@t25)) % 16.18/16.53 (step @p126 :rule cong :premises (@p125 @p124) :args (@t26)) % 16.18/16.53 (step @p127 :rule refl :args (@t21)) % 16.18/16.53 (step @p128 :rule cong :premises (@p127 @p126) :args (@t27)) % 16.18/16.53 (step @p129 :rule cong :premises (@p128) :args (@t28)) % 16.18/16.53 (step @p130 :rule trans :premises (@p129 @p114)) % 16.18/16.53 (step @p131 :rule refl :args (@t17)) % 16.18/16.53 (step @p132 :rule cong :premises (@p131 @p130) :args (@t29)) % 16.18/16.53 (step @p133 :rule cong :premises (@p132) :args (@t30)) % 16.18/16.53 (step @p134 :rule trans :premises (@p133 @p112)) % 16.18/16.53 (step @p135 :rule eq_resolve :premises (@p6 @p134)) % 16.18/16.53 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t149 @t148))) % 16.18/16.53 (step @p137 :rule aci_norm :args ((= @t151 @t145))) % 16.18/16.53 (step @p138 :rule cong :premises (@p137) :args (@t152)) % 16.18/16.53 (step @p139 :rule quant-merge-prenex :args ((= (forall @t9 @t154) @t152))) % 16.18/16.53 (step @p140 :rule alpha_equiv :args (@t155 (@list @t137) @t128)) % 16.18/16.53 (step @p141 :rule nary_cong :premises (@p102 @p140) :args (@t156)) % 16.18/16.53 (step @p142 :rule quant-miniscope-or :args ((= @t154 @t156))) % 16.18/16.53 (step @p143 :rule trans :premises (@p142 @p141)) % 16.18/16.53 (step @p144 :rule symm :premises (@p143)) % 16.18/16.53 (step @p145 :rule cong :premises (@p144) :args ((forall @t9 @t164))) % 16.18/16.53 (step @p146 :rule trans :premises (@p145 @p139)) % 16.18/16.53 (step @p147 :rule trans :premises (@p146 @p138)) % 16.18/16.53 (step @p148 :rule aci_norm :args ((= (or @t121 @t164) @t164))) % 16.18/16.53 (step @p149 :rule bool-impl-elim :args (@t17 @t164)) % 16.18/16.53 (step @p150 :rule trans :premises (@p149 @p148)) % 16.18/16.53 (step @p151 :rule cong :premises (@p150) :args ((forall @t9 (=> @t17 @t164)))) % 16.18/16.53 (step @p152 :rule trans :premises (@p151 @p147)) % 16.18/16.53 (step @p153 :rule quant-miniscope-or :args ((= (forall @t7 @t165) @t164))) % 16.18/16.53 (step @p154 :rule aci_norm :args ((= @t166 @t165))) % 16.18/16.53 (step @p155 :rule cong :premises (@p154) :args ((forall @t7 @t166))) % 16.18/16.53 (step @p156 :rule trans :premises (@p155 @p153)) % 16.18/16.53 (step @p157 :rule aci_norm :args ((= (or @t132 @t166) @t166))) % 16.18/16.53 (step @p158 :rule bool-impl-elim :args (@t21 @t166)) % 16.18/16.53 (step @p159 :rule trans :premises (@p158 @p157)) % 16.18/16.53 (step @p160 :rule cong :premises (@p159) :args ((forall @t7 (=> @t21 @t166)))) % 16.18/16.53 (step @p161 :rule trans :premises (@p160 @p156)) % 16.18/16.53 (step @p162 :rule aci_norm :args ((= (or @t132 @t86 @t77 @t167) @t166))) % 16.18/16.53 (step @p163 :rule aci_norm :args ((= (or @t121 false @t162) @t167))) % 16.18/16.53 (step @p164 :rule refl :args (@t162)) % 16.18/16.53 (step @p165 :rule evaluate :args ((not true))) % 16.18/16.53 (step @p166 :rule eq-refl :args (@t2)) % 16.18/16.53 (step @p167 :rule cong :premises (@p166) :args (@t168)) % 16.18/16.53 (step @p168 :rule trans :premises (@p167 @p165)) % 16.18/16.53 (step @p169 :rule refl :args (@t121)) % 16.18/16.53 (step @p170 :rule nary_cong :premises (@p169 @p168 @p164) :args (@t169)) % 16.18/16.53 (step @p171 :rule trans :premises (@p170 @p163)) % 16.18/16.53 (step @p172 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t84) @t118 @t105 @t171)) @t169))) % 16.18/16.53 (step @p173 :rule refl :args (@t171)) % 16.18/16.53 (step @p174 :rule refl :args (@t105)) % 16.18/16.53 (step @p175 :rule refl :args (@t118)) % 16.18/16.53 (step @p176 :rule eq-symm :args (@t2 @t12)) % 16.18/16.53 (step @p177 :rule cong :premises (@p176) :args (@t105)) % 16.18/16.53 (step @p178 :rule nary_cong :premises (@p177 @p175 @p174 @p173) :args (@t172)) % 16.18/16.53 (step @p179 :rule aci_norm :args ((= @t173 @t172))) % 16.18/16.53 (step @p180 :rule trans :premises (@p179 @p178)) % 16.18/16.53 (step @p181 :rule cong :premises (@p180) :args (@t174)) % 16.18/16.53 (step @p182 :rule trans :premises (@p181 @p172)) % 16.18/16.53 (step @p183 :rule trans :premises (@p182 @p171)) % 16.18/16.53 (step @p184 :rule refl :args (@t77)) % 16.18/16.53 (step @p185 :rule refl :args (@t86)) % 16.18/16.53 (step @p186 :rule refl :args (@t132)) % 16.18/16.53 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183) :args (@t175)) % 16.18/16.53 (step @p188 :rule trans :premises (@p187 @p162)) % 16.18/16.53 (step @p189 :rule quant-miniscope-or :args ((= (forall @t16 @t176) @t175))) % 16.18/16.53 (step @p190 :rule aci_norm :args ((= @t177 @t176))) % 16.18/16.53 (step @p191 :rule cong :premises (@p190) :args ((forall @t16 @t177))) % 16.18/16.53 (step @p192 :rule trans :premises (@p191 @p189)) % 16.18/16.53 (step @p193 :rule trans :premises (@p192 @p188)) % 16.18/16.53 (step @p194 :rule aci_norm :args ((= (or @t118 @t105 @t132 @t178) @t177))) % 16.18/16.53 (step @p195 :rule aci_norm :args ((= @t179 @t178))) % 16.18/16.53 (step @p196 :rule refl :args (@t105)) % 16.18/16.53 (step @p197 :rule refl :args (@t118)) % 16.18/16.53 (step @p198 :rule nary_cong :premises (@p197 @p196 @p186 @p195) :args (@t180)) % 16.18/16.53 (step @p199 :rule trans :premises (@p198 @p194)) % 16.18/16.53 (step @p200 :rule cong :premises (@p199) :args ((forall @t16 @t180))) % 16.18/16.53 (step @p201 :rule trans :premises (@p200 @p193)) % 16.18/16.53 (step @p202 :rule aci_norm :args ((= (or @t118 (or @t105 @t132 @t179)) @t180))) % 16.18/16.53 (step @p203 :rule bool-or-taut2 :args (false @t85 false false)) % 16.18/16.53 (step @p204 :rule refl :args (@t178)) % 16.18/16.53 (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t181)) % 16.18/16.53 (step @p206 :rule refl :args (@t132)) % 16.18/16.53 (step @p207 :rule nary_cong :premises (@p174 @p206 @p205) :args (@t182)) % 16.18/16.53 (step @p208 :rule nary_cong :premises (@p175 @p207) :args ((or @t118 @t182))) % 16.18/16.53 (step @p209 :rule trans :premises (@p208 @p202)) % 16.18/16.53 (step @p210 :rule bool-impl-elim :args (@t15 @t182)) % 16.18/16.53 (step @p211 :rule trans :premises (@p210 @p209)) % 16.18/16.53 (step @p212 :rule cong :premises (@p211) :args ((forall @t16 (=> @t15 @t182)))) % 16.18/16.53 (step @p213 :rule trans :premises (@p212 @p201)) % 16.18/16.53 (step @p214 :rule aci_norm :args ((= (or @t105 @t183) @t182))) % 16.18/16.53 (step @p215 :rule aci_norm :args ((= (or @t132 false @t181) @t183))) % 16.18/16.53 (step @p216 :rule refl :args (@t181)) % 16.18/16.53 (step @p217 :rule eq-refl :args (@t1)) % 16.18/16.53 (step @p218 :rule cong :premises (@p217) :args (@t184)) % 16.18/16.53 (step @p219 :rule trans :premises (@p218 @p165)) % 16.18/16.53 (step @p220 :rule nary_cong :premises (@p186 @p219 @p216) :args (@t185)) % 16.18/16.53 (step @p221 :rule trans :premises (@p220 @p215)) % 16.18/16.53 (step @p222 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t194 @t106 @t193)) @t185))) % 16.18/16.53 (step @p223 :rule refl :args (@t193)) % 16.18/16.53 (step @p224 :rule refl :args (@t106)) % 16.18/16.53 (step @p225 :rule refl :args (@t194)) % 16.18/16.53 (step @p226 :rule eq-symm :args (@t1 @t10)) % 16.18/16.53 (step @p227 :rule cong :premises (@p226) :args (@t106)) % 16.18/16.53 (step @p228 :rule nary_cong :premises (@p227 @p225 @p224 @p223) :args (@t195)) % 16.18/16.53 (step @p229 :rule aci_norm :args ((= @t196 @t195))) % 16.18/16.53 (step @p230 :rule trans :premises (@p229 @p228)) % 16.18/16.53 (step @p231 :rule cong :premises (@p230) :args (@t197)) % 16.18/16.53 (step @p232 :rule trans :premises (@p231 @p222)) % 16.18/16.53 (step @p233 :rule trans :premises (@p232 @p221)) % 16.18/16.53 (step @p234 :rule nary_cong :premises (@p196 @p233) :args (@t198)) % 16.18/16.53 (step @p235 :rule trans :premises (@p234 @p214)) % 16.18/16.53 (step @p236 :rule quant-miniscope-or :args ((= (forall @t14 @t199) @t198))) % 16.18/16.53 (step @p237 :rule aci_norm :args ((= @t200 @t199))) % 16.18/16.53 (step @p238 :rule cong :premises (@p237) :args ((forall @t14 @t200))) % 16.18/16.53 (step @p239 :rule trans :premises (@p238 @p236)) % 16.18/16.53 (step @p240 :rule trans :premises (@p239 @p235)) % 16.18/16.53 (step @p241 :rule aci_norm :args ((= (or @t194 (or @t106 @t105 @t193)) @t200))) % 16.18/16.53 (step @p242 :rule refl :args (@t87)) % 16.18/16.53 (step @p243 :rule refl :args (@t77)) % 16.18/16.53 (step @p244 :rule refl :args (@t189)) % 16.18/16.53 (step @p245 :rule bool-double-not-elim :args (@t190)) % 16.18/16.53 (step @p246 :rule bool-double-not-elim :args (@t191)) % 16.18/16.53 (step @p247 :rule bool-double-not-elim :args (@t192)) % 16.18/16.53 (step @p248 :rule bool-double-not-elim :args (@t88)) % 16.18/16.53 (step @p249 :rule nary_cong :premises (@p248 @p247 @p246 @p245 @p244) :args (@t209)) % 16.18/16.53 (step @p250 :rule aci_norm :args ((= (and @t208 (and @t206 (and @t204 (and @t202 @t189)))) @t209))) % 16.18/16.53 (step @p251 :rule trans :premises (@p250 @p249)) % 16.18/16.53 (step @p252 :rule bool-or-de-morgan :args (@t201 @t188 false)) % 16.18/16.53 (step @p253 :rule refl :args (@t204)) % 16.18/16.53 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((and @t204 (not @t210)))) % 16.18/16.53 (step @p255 :rule bool-or-de-morgan :args (@t203 @t201 (or @t188))) % 16.18/16.53 (step @p256 :rule trans :premises (@p255 @p254)) % 16.18/16.53 (step @p257 :rule refl :args (@t206)) % 16.18/16.53 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((and @t206 (not (or @t203 @t201 @t188))))) % 16.18/16.53 (step @p259 :rule bool-or-de-morgan :args (@t205 @t203 (or @t201 @t188))) % 16.18/16.53 (step @p260 :rule trans :premises (@p259 @p258)) % 16.18/16.53 (step @p261 :rule refl :args (@t208)) % 16.18/16.53 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((and @t208 (not (or @t205 @t203 @t201 @t188))))) % 16.18/16.53 (step @p263 :rule bool-or-de-morgan :args (@t207 @t205 (or @t203 @t201 @t188))) % 16.18/16.53 (step @p264 :rule trans :premises (@p263 @p262)) % 16.18/16.53 (step @p265 :rule trans :premises (@p264 @p251)) % 16.18/16.53 (step @p266 :rule refl :args (@t86)) % 16.18/16.53 (step @p267 :rule nary_cong :premises (@p266 @p265 @p243) :args (@t212)) % 16.18/16.53 (step @p268 :rule nary_cong :premises (@p267 @p242) :args (@t213)) % 16.18/16.53 (step @p269 :rule nary_cong :premises (@p224 @p174 @p268) :args (@t214)) % 16.18/16.53 (step @p270 :rule nary_cong :premises (@p225 @p269) :args ((or @t194 @t214))) % 16.18/16.53 (step @p271 :rule trans :premises (@p270 @p241)) % 16.18/16.53 (step @p272 :rule bool-impl-elim :args (@t13 @t214)) % 16.18/16.53 (step @p273 :rule trans :premises (@p272 @p271)) % 16.18/16.53 (step @p274 :rule cong :premises (@p273) :args ((forall @t14 (=> @t13 @t214)))) % 16.18/16.53 (step @p275 :rule trans :premises (@p274 @p240)) % 16.18/16.53 (step @p276 :rule refl :args (@t87)) % 16.18/16.53 (step @p277 :rule aci_norm :args ((= (or @t207 @t205 @t203 @t210) @t211))) % 16.18/16.53 (step @p278 :rule aci_norm :args ((= (or @t201 @t188 false) @t210))) % 16.18/16.53 (step @p279 :rule eq-refl :args (@t187)) % 16.18/16.53 (step @p280 :rule cong :premises (@p279) :args (@t215)) % 16.18/16.53 (step @p281 :rule trans :premises (@p280 @p165)) % 16.18/16.53 (step @p282 :rule refl :args (@t188)) % 16.18/16.53 (step @p283 :rule refl :args (@t201)) % 16.18/16.53 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281) :args (@t216)) % 16.18/16.53 (step @p285 :rule trans :premises (@p284 @p278)) % 16.18/16.53 (step @p286 :rule quant-var-elim-eq :args ((= (forall @t40 @t219) @t216))) % 16.18/16.53 (step @p287 :rule aci_norm :args ((= @t220 @t219))) % 16.18/16.53 (step @p288 :rule cong :premises (@p287) :args (@t221)) % 16.18/16.53 (step @p289 :rule trans :premises 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16.18/16.53 (step @p402 :rule nary_cong :premises (@p401 @p400 @p399) :args (@t97)) % 16.18/16.53 (step @p403 :rule cong :premises (@p402) :args (@t98)) % 16.18/16.53 (step @p404 :rule trans :premises (@p403 @p356)) % 16.18/16.53 (step @p405 :rule refl :args (@t100)) % 16.18/16.53 (step @p406 :rule refl :args (@t39)) % 16.18/16.53 (step @p407 :rule nary_cong :premises (@p406 @p405 @p404) :args (@t101)) % 16.18/16.53 (step @p408 :rule cong :premises (@p407) :args (@t102)) % 16.18/16.53 (step @p409 :rule trans :premises (@p408 @p318)) % 16.18/16.53 (step @p410 :rule nary_cong :premises (@p185 @p409 @p184) :args (@t103)) % 16.18/16.53 (step @p411 :rule nary_cong :premises (@p410 @p276) :args (@t104)) % 16.18/16.53 (step @p412 :rule refl :args (@t106)) % 16.18/16.53 (step @p413 :rule nary_cong :premises (@p412 @p196 @p411) :args (@t107)) % 16.18/16.53 (step @p414 :rule refl :args (@t13)) % 16.18/16.53 (step @p415 :rule cong :premises (@p414 @p413) :args (@t108)) % 16.18/16.53 (step @p416 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trans :premises (@p481 @p480)) % 16.18/16.53 (step @p483 :rule nary_cong :premises (@p102 @p482) :args ((or @t121 @t311))) % 16.18/16.53 (step @p484 :rule trans :premises (@p483 @p477)) % 16.18/16.53 (step @p485 :rule bool-impl-elim :args (@t17 @t311)) % 16.18/16.53 (step @p486 :rule trans :premises (@p485 @p484)) % 16.18/16.53 (step @p487 :rule cong :premises (@p486) :args ((forall @t9 (=> @t17 @t311)))) % 16.18/16.53 (step @p488 :rule refl :args (@t57)) % 16.18/16.53 (step @p489 :rule eq-symm :args (tptp.nil @t2)) % 16.18/16.53 (step @p490 :rule cong :premises (@p489) :args (@t58)) % 16.18/16.53 (step @p491 :rule cong :premises (@p490 @p488) :args (@t59)) % 16.18/16.53 (step @p492 :rule cong :premises (@p131 @p491) :args (@t60)) % 16.18/16.53 (step @p493 :rule cong :premises (@p492) :args (@t61)) % 16.18/16.53 (step @p494 :rule trans :premises (@p493 @p487)) % 16.18/16.53 (step @p495 :rule eq_resolve :premises (@p22 @p494)) % 16.18/16.53 (step @p496 :rule refl :args (@t278)) % 16.18/16.53 (step @p497 :rule eq-symm :args (@t149 tptp.nil)) % 16.18/16.53 (step @p498 :rule refl :args (@t284)) % 16.18/16.53 (step @p499 :rule nary_cong :premises (@p498 @p497 @p496) :args (@t313)) % 16.18/16.53 (step @p500 :rule refl :args (@t314)) % 16.18/16.53 (step @p501 :rule cong :premises (@p500 @p499) :args ((=> @t314 @t313))) % 16.18/16.53 (assume-push @p619 @t314) % 16.18/16.53 (step @p503 :rule instantiate :premises (@p495) :args ((@list @t149))) % 16.18/16.53 (step-pop @p620 :rule scope :premises (@p503)) % 16.18/16.53 (step @p504 :rule process_scope :premises (@p620) :args (@t313)) % 16.18/16.53 (step @p506 :rule eq_resolve :premises (@p504 @p501)) % 16.18/16.53 (step @p507 :rule implies_elim :premises (@p506)) % 16.18/16.53 (step @p508 :rule chain_m_resolution :premises (@p507 @p495) :args (@t316 @t317 (@list @t314))) % 16.18/16.53 (step @p509 :rule aci_norm :args ((= @t323 @t321))) % 16.18/16.53 (step @p510 :rule cong :premises (@p509) :args (@t325)) % 16.18/16.53 (step @p511 :rule quant-merge-prenex :args ((= (forall @t9 @t327) @t325))) % 16.18/16.53 (step @p512 :rule alpha_equiv :args (@t328 (@list @t318) @t128)) % 16.18/16.53 (step @p513 :rule nary_cong :premises (@p102 @p512) :args (@t329)) % 16.18/16.53 (step @p514 :rule quant-miniscope-or :args ((= @t327 @t329))) % 16.18/16.53 (step @p515 :rule trans :premises (@p514 @p513)) % 16.18/16.53 (step @p516 :rule symm :premises (@p515)) % 16.18/16.53 (step @p517 :rule cong :premises (@p516) :args ((forall @t9 (or @t121 @t330)))) % 16.18/16.53 (step @p518 :rule trans :premises (@p517 @p511)) % 16.18/16.53 (step @p519 :rule trans :premises (@p518 @p510)) % 16.18/16.53 (step @p520 :rule bool-impl-elim :args (@t17 @t330)) % 16.18/16.53 (step @p521 :rule cong :premises (@p520) :args ((forall @t9 (=> @t17 @t330)))) % 16.18/16.53 (step @p522 :rule trans :premises (@p521 @p519)) % 16.18/16.53 (step @p523 :rule bool-impl-elim :args (@t21 @t5)) % 16.18/16.53 (step @p524 :rule cong :premises (@p523) :args (@t44)) % 16.18/16.53 (step @p525 :rule cong :premises (@p131 @p524) :args (@t45)) % 16.18/16.53 (step @p526 :rule cong :premises (@p525) :args (@t46)) % 16.18/16.53 (step @p527 :rule trans :premises (@p526 @p522)) % 16.18/16.53 (step @p528 :rule eq_resolve :premises (@p15 @p527)) % 16.18/16.53 (step @p529 :rule cong :premises (@p497) :args (@t331)) % 16.18/16.53 (step @p530 :rule refl :args (@t282)) % 16.18/16.53 (step @p531 :rule cong :premises (@p530 @p529) :args (@t332)) % 16.18/16.53 (step @p532 :rule refl :args (@t333)) % 16.18/16.53 (step @p533 :rule nary_cong :premises (@p498 @p532 @p531) :args (@t334)) % 16.18/16.53 (step @p534 :rule refl :args (@t335)) % 16.18/16.53 (step @p535 :rule cong :premises (@p534 @p533) :args ((=> @t335 @t334))) % 16.18/16.53 (assume-push @p621 @t335) % 16.18/16.53 (step @p537 :rule instantiate :premises (@p528) :args ((@list @t149 tptp.nil))) % 16.18/16.53 (step-pop @p622 :rule scope :premises (@p537)) % 16.18/16.53 (step @p538 :rule process_scope :premises (@p622) :args (@t334)) % 16.18/16.53 (step @p540 :rule eq_resolve :premises (@p538 @p535)) % 16.18/16.53 (step @p541 :rule implies_elim :premises (@p540)) % 16.18/16.53 (step @p542 :rule chain_m_resolution :premises (@p541 @p528) :args (@t338 @t317 (@list @t335))) % 16.18/16.53 (step @p543 :rule cnf_or_pos :args (@t338)) % 16.18/16.53 (step @p544 :rule reordering :premises (@p543) :args ((or @t333 @t284 @t337 (not @t338)))) % 16.18/16.53 (step @p545 :rule chain_m_resolution :premises (@p544 @p17 @p436 @p542) :args (@t337 @t294 (@list @t52 @t270 @t338))) % 16.18/16.53 (step @p546 :rule bool-double-not-elim :args (@t282)) % 16.18/16.53 (step @p547 :rule nary_cong :premises (@p431 @p546) :args ((or @t287 (not @t283)))) % 16.18/16.53 (step @p548 :rule cnf_or_neg :args (@t287 2)) % 16.18/16.53 (step @p549 :rule eq_resolve :premises (@p548 @p547)) % 16.18/16.53 (step @p550 :rule reordering :premises (@p549) :args ((or @t282 @t287))) % 16.18/16.53 (step @p551 :rule chain_m_resolution :premises (@p550 @p429) :args (@t282 @t288 @t289)) % 16.18/16.53 (step @p552 :rule cnf_equiv_pos1 :args (@t337)) % 16.18/16.53 (step @p553 :rule reordering :premises (@p552) :args ((or @t283 @t336 (not @t337)))) % 16.18/16.53 (step @p554 :rule chain_m_resolution :premises (@p553 @p551 @p545) :args (@t336 @t339 (@list @t282 @t337))) % 16.18/16.53 (step @p555 :rule cnf_or_pos :args (@t316)) % 16.18/16.53 (step @p556 :rule reordering :premises (@p555) :args ((or @t284 @t278 @t315 (not @t316)))) % 16.18/16.53 (step @p557 :rule chain_m_resolution :premises (@p556 @p436 @p554 @p508) :args (@t278 (@list false true false) (@list @t270 @t315 @t316))) % 16.18/16.53 (step @p558 :rule cnf_or_pos :args (@t341)) % 16.18/16.53 (step @p559 :rule reordering :premises (@p558) :args ((or @t333 @t277 @t340 (not @t341)))) % 16.18/16.53 (step @p560 :rule chain_m_resolution :premises (@p559 @p17 @p557 @p476) :args (@t277 @t294 (@list @t52 @t278 @t341))) % 16.18/16.53 (step @p561 :rule aci_norm :args ((= @t346 (or @t121 @t344 @t343)))) % 16.18/16.53 (step @p562 :rule cong :premises (@p561) :args (@t347)) % 16.18/16.53 (step @p563 :rule quant-merge-prenex :args ((= (forall @t9 @t349) @t347))) % 16.18/16.53 (step @p564 :rule alpha_equiv :args (@t350 (@list @t342) @t128)) % 16.18/16.53 (step @p565 :rule nary_cong :premises (@p102 @p564) :args (@t351)) % 16.18/16.53 (step @p566 :rule quant-miniscope-or :args ((= @t349 @t351))) % 16.18/16.53 (step @p567 :rule trans :premises (@p566 @p565)) % 16.18/16.53 (step @p568 :rule symm :premises (@p567)) % 16.18/16.53 (step @p569 :rule cong :premises (@p568) :args ((forall @t9 (or @t121 @t352)))) % 16.18/16.53 (step @p570 :rule trans :premises (@p569 @p563)) % 16.18/16.53 (step @p571 :rule trans :premises (@p570 @p562)) % 16.18/16.53 (step @p572 :rule bool-impl-elim :args (@t17 @t352)) % 16.18/16.53 (step @p573 :rule cong :premises (@p572) :args ((forall @t9 (=> @t17 @t352)))) % 16.18/16.53 (step @p574 :rule trans :premises (@p573 @p571)) % 16.18/16.53 (step @p575 :rule bool-impl-elim :args (@t21 @t64)) % 16.18/16.53 (step @p576 :rule cong :premises (@p575) :args (@t65)) % 16.18/16.53 (step @p577 :rule cong :premises (@p131 @p576) :args (@t66)) % 16.18/16.53 (step @p578 :rule cong :premises (@p577) :args (@t67)) % 16.18/16.53 (step @p579 :rule trans :premises (@p578 @p574)) % 16.18/16.53 (step @p580 :rule eq_resolve :premises (@p26 @p579)) % 16.18/16.53 (step @p581 :rule instantiate :premises (@p580) :args ((@list @t272 @t148))) % 16.18/16.53 (step @p582 :rule cnf_or_pos :args (@t354)) % 16.18/16.53 (step @p583 :rule reordering :premises (@p582) :args ((or @t286 @t276 @t353 (not @t354)))) % 16.18/16.53 (step @p584 :rule chain_m_resolution :premises (@p583 @p442 @p560 @p581) :args (@t276 @t294 (@list @t285 @t277 @t354))) % 16.18/16.53 (step @p585 :rule instantiate :premises (@p528) :args ((@list tptp.nil @t149))) % 16.18/16.53 (step @p586 :rule cnf_or_pos :args (@t356)) % 16.18/16.53 (step @p587 :rule reordering :premises (@p586) :args ((or @t333 @t284 @t355 (not @t356)))) % 16.18/16.53 (step @p588 :rule chain_m_resolution :premises (@p587 @p17 @p436 @p585) :args (@t355 @t294 (@list @t52 @t270 @t356))) % 16.18/16.53 (step @p589 :rule bool-double-not-elim :args (@t315)) % 16.18/16.53 (step @p590 :rule refl :args (@t279)) % 16.18/16.53 (step @p591 :rule refl :args (@t357)) % 16.18/16.53 (step @p592 :rule nary_cong :premises (@p591 @p590 @p589) :args ((or @t357 @t279 (not @t336)))) % 16.18/16.53 (step @p593 :rule cnf_equiv_pos2 :args (@t355)) % 16.18/16.53 (step @p594 :rule eq_resolve :premises (@p593 @p592)) % 16.18/16.53 (step @p595 :rule reordering :premises (@p594) :args ((or @t279 @t315 @t357))) % 16.18/16.53 (step @p596 :rule chain_m_resolution :premises (@p595 @p554 @p588) :args (@t279 @t296 (@list @t315 @t355))) % 16.18/16.53 (step @p597 :rule cnf_or_neg :args (@t287 4)) % 16.18/16.53 (step @p598 :rule chain_m_resolution :premises (@p597 @p429) :args ((not @t280) @t288 @t289)) % 16.18/16.53 (step @p599 :rule bool-double-not-elim :args (@t274)) % 16.18/16.53 (step @p600 :rule refl :args (@t358)) % 16.18/16.53 (step @p601 :rule refl :args (@t353)) % 16.18/16.53 (step @p602 :rule refl :args (@t340)) % 16.18/16.53 (step @p603 :rule refl :args (@t359)) % 16.18/16.53 (step @p604 :rule refl :args (@t280)) % 16.18/16.53 (step @p605 :rule nary_cong :premises (@p604 @p603 @p602 @p601 @p600 @p599) :args ((or @t280 @t359 @t340 @t353 @t358 (not @t275)))) % 16.18/16.53 (step @p606 :rule cnf_and_neg :args (@t280)) % 16.18/16.53 (step @p607 :rule eq_resolve :premises (@p606 @p605)) % 16.18/16.53 (step @p608 :rule reordering :premises (@p607) :args ((or @t274 @t280 @t359 @t340 @t353 @t358))) % 16.18/16.53 (step @p609 :rule chain_m_resolution :premises (@p608 @p598 @p596 @p557 @p560 @p584) :args (@t274 (@list true false false false false) (@list @t280 @t279 @t278 @t277 @t276))) % 16.18/16.53 (step @p610 :rule cnf_or_pos :args (@t360)) % 16.18/16.53 (step @p611 :rule reordering :premises (@p610) :args ((or @t275 @t353 @t361))) % 16.18/16.53 (step @p612 :rule chain_m_resolution :premises (@p611 @p609 @p560) :args (@t361 @t339 (@list @t274 @t277))) % 16.18/16.53 (assume-push @p623 @t290) % 16.18/16.53 (step @p614 :rule instantiate :premises (@p455) :args ((@list @t272))) % 16.18/16.53 (step-pop @p624 :rule scope :premises (@p614)) % 16.18/16.53 (step @p615 :rule process_scope :premises (@p624) :args (@t360)) % 16.18/16.53 (step @p617 :rule implies_elim :premises (@p615)) % 16.18/16.53 (step @p618 false :rule chain_m_resolution :premises (@p617 @p612 @p455) :args (false @t296 (@list @t360 @t290))) % 16.18/16.53 ) % 16.18/16.53 % SZS output end Proof % 16.18/16.53 % cvc5 exiting %------------------------------------------------------------------------------