%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC387+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:59:07 AM UTC 2026 % Result : Theorem 0.37s 0.70s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC387+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:45:58 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.70 % SZS status Theorem % 0.37/0.70 % SZS output start Proof % 0.37/0.70 ( % 0.37/0.70 (declare-sort $$unsorted 0) % 0.37/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.nil $$unsorted) % 0.37/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.70 (define @t3 () (= @t2 @t1)) % 0.37/0.70 (define @t4 () (not @t3)) % 0.37/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.70 (define @t7 () (@list @t1)) % 0.37/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.70 (define @t9 () (@list @t2)) % 0.37/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.70 (define @t13 () (tptp.ssList @t10)) % 0.37/0.70 (define @t14 () (@list @t10)) % 0.37/0.70 (define @t15 () (tptp.ssList @t12)) % 0.37/0.70 (define @t16 () (@list @t12)) % 0.37/0.70 (define @t17 () (tptp.ssList @t2)) % 0.37/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.70 (define @t21 () (tptp.ssList @t1)) % 0.37/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.70 (define @t30 () (tptp.ssList @t27)) % 0.37/0.70 (define @t31 () (@list @t27)) % 0.37/0.70 (define @t32 () (tptp.ssList @t28)) % 0.37/0.70 (define @t33 () (@list @t28)) % 0.37/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.70 (define @t36 () (= @t1 @t12)) % 0.37/0.70 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.37/0.70 (define @t38 () (=> @t17 @t37)) % 0.37/0.70 (define @t39 () (forall @t9 @t38)) % 0.37/0.70 (define @t40 () (tptp.cons @t1 @t2)) % 0.37/0.70 (define @t41 () (tptp.ssList tptp.nil)) % 0.37/0.70 (define @t42 () (= @t1 @t2)) % 0.37/0.70 (define @t43 () (tptp.cons @t12 @t1)) % 0.37/0.70 (define @t44 () (= tptp.nil @t2)) % 0.37/0.70 (define @t45 () (tptp.hd @t2)) % 0.37/0.70 (define @t46 () (not @t44)) % 0.37/0.70 (define @t47 () (tptp.tl @t2)) % 0.37/0.70 (define @t48 () (tptp.app @t2 @t1)) % 0.37/0.70 (define @t49 () (tptp.app @t1 @t2)) % 0.37/0.70 (define @t50 () (tptp.leq @t1 @t2)) % 0.37/0.70 (define @t51 () (tptp.leq @t2 @t1)) % 0.37/0.70 (define @t52 () (tptp.geq @t2 @t1)) % 0.37/0.70 (define @t53 () (tptp.lt @t1 @t2)) % 0.37/0.70 (define @t54 () (tptp.lt @t2 @t1)) % 0.37/0.70 (define @t55 () (tptp.lt @t2 @t12)) % 0.37/0.70 (define @t56 () (tptp.gt @t2 @t1)) % 0.37/0.70 (define @t57 () (tptp.memberP @t12 @t2)) % 0.37/0.70 (define @t58 () (tptp.app @t12 @t2)) % 0.37/0.70 (define @t59 () (tptp.cons @t2 tptp.nil)) % 0.37/0.70 (define @t60 () (tptp.hd @t1)) % 0.37/0.70 (define @t61 () (= tptp.nil @t1)) % 0.37/0.70 (define @t62 () (not @t61)) % 0.37/0.70 (define @t63 () (tptp.cons @t2 @t1)) % 0.37/0.70 (define @t64 () (= @t12 @t2)) % 0.37/0.70 (define @t65 () (and @t61 @t44)) % 0.37/0.70 (define @t66 () (tptp.neq @t10 tptp.nil)) % 0.37/0.70 (define @t67 () (not (tptp.memberP @t10 @t27))) % 0.37/0.70 (define @t68 () (tptp.cons @t27 tptp.nil)) % 0.37/0.70 (define @t69 () (not (= @t68 @t12))) % 0.37/0.70 (define @t70 () (or @t69 @t67)) % 0.37/0.70 (define @t71 () (tptp.ssItem @t27)) % 0.37/0.70 (define @t72 () (=> @t71 @t70)) % 0.37/0.70 (define @t73 () (forall @t31 @t72)) % 0.37/0.70 (define @t74 () (and @t73 @t66)) % 0.37/0.70 (define @t75 () (not (= tptp.nil @t12))) % 0.37/0.70 (define @t76 () (and @t75 (= tptp.nil @t10))) % 0.37/0.70 (define @t77 () (tptp.memberP @t1 @t28)) % 0.37/0.70 (define @t78 () (tptp.cons @t28 tptp.nil)) % 0.37/0.70 (define @t79 () (tptp.ssItem @t28)) % 0.37/0.70 (define @t80 () (and @t79 (= @t78 @t2) @t77)) % 0.37/0.70 (define @t81 () (exists @t33 @t80)) % 0.37/0.70 (define @t82 () (not (= @t2 @t12))) % 0.37/0.70 (define @t83 () (not (= @t1 @t10))) % 0.37/0.70 (define @t84 () (or @t83 @t82 @t81 @t76 @t65 @t74)) % 0.37/0.70 (define @t85 () (=> @t13 @t84)) % 0.37/0.70 (define @t86 () (forall @t14 @t85)) % 0.37/0.70 (define @t87 () (=> @t15 @t86)) % 0.37/0.70 (define @t88 () (forall @t16 @t87)) % 0.37/0.70 (define @t89 () (=> @t21 @t88)) % 0.37/0.70 (define @t90 () (forall @t7 @t89)) % 0.37/0.70 (define @t91 () (=> @t17 @t90)) % 0.37/0.70 (define @t92 () (forall @t9 @t91)) % 0.37/0.70 (define @t93 () (not @t92)) % 0.37/0.70 (define @t94 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 0.37/0.70 (define @t95 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 0.37/0.70 (define @t96 () (and (or (not (tptp.ssItem @t95)) (not (= @t2 (tptp.cons @t95 tptp.nil))) (not (tptp.memberP @t94 @t95))) (tptp.neq @t94 tptp.nil))) % 0.37/0.70 (define @t97 () (= @t2 tptp.nil)) % 0.37/0.70 (define @t98 () (not @t97)) % 0.37/0.70 (define @t99 () (= @t94 tptp.nil)) % 0.37/0.70 (define @t100 () (and @t98 @t99)) % 0.37/0.70 (define @t101 () (and @t99 @t97)) % 0.37/0.70 (define @t102 () (= @t2 @t78)) % 0.37/0.70 (define @t103 () (not @t102)) % 0.37/0.70 (define @t104 () (not @t79)) % 0.37/0.70 (define @t105 () (not (forall @t33 (or @t104 @t103 (not (tptp.memberP @t94 @t28)))))) % 0.37/0.70 (define @t106 () (not (tptp.ssList @t94))) % 0.37/0.70 (define @t107 () (not @t17)) % 0.37/0.70 (define @t108 () (or @t107 @t106 @t105 @t101 @t100 @t96)) % 0.37/0.70 (define @t109 () (or @t106 @t105 @t101 @t100 @t96)) % 0.37/0.70 (define @t110 () (or @t107 @t109)) % 0.37/0.70 (define @t111 () (@list @t2 @t94 @t95)) % 0.37/0.70 (define @t112 () (forall @t111 @t110)) % 0.37/0.70 (define @t113 () (@list @t94 @t95)) % 0.37/0.70 (define @t114 () (forall @t113 @t110)) % 0.37/0.70 (define @t115 () (forall @t113 @t109)) % 0.37/0.70 (define @t116 () (@var "BOUND_VARIABLE_11071" $$unsorted)) % 0.37/0.70 (define @t117 () (or @t107 @t115)) % 0.37/0.70 (define @t118 () (tptp.neq @t1 tptp.nil)) % 0.37/0.70 (define @t119 () (or (not (tptp.ssItem @t116)) (not (= @t2 (tptp.cons @t116 tptp.nil))) (not (tptp.memberP @t1 @t116)))) % 0.37/0.70 (define @t120 () (and @t119 @t118)) % 0.37/0.70 (define @t121 () (= @t1 tptp.nil)) % 0.37/0.70 (define @t122 () (and @t98 @t121)) % 0.37/0.70 (define @t123 () (and @t121 @t97)) % 0.37/0.70 (define @t124 () (not @t77)) % 0.37/0.70 (define @t125 () (or @t104 @t103 @t124)) % 0.37/0.70 (define @t126 () (not (forall @t33 @t125))) % 0.37/0.70 (define @t127 () (not @t21)) % 0.37/0.70 (define @t128 () (or @t127 @t126 @t123 @t122 @t120)) % 0.37/0.70 (define @t129 () (forall (@list @t1 @t116) @t128)) % 0.37/0.70 (define @t130 () (or @t107 @t129)) % 0.37/0.70 (define @t131 () (@list @t116)) % 0.37/0.70 (define @t132 () (forall @t131 @t128)) % 0.37/0.70 (define @t133 () (forall @t131 @t118)) % 0.37/0.70 (define @t134 () (forall @t131 @t119)) % 0.37/0.70 (define @t135 () (@var "BOUND_VARIABLE_11046" $$unsorted)) % 0.37/0.70 (define @t136 () (@list @t135)) % 0.37/0.70 (define @t137 () (and @t134 @t133)) % 0.37/0.70 (define @t138 () (forall @t131 @t120)) % 0.37/0.70 (define @t139 () (or @t127 @t126 @t123 @t122 @t138)) % 0.37/0.70 (define @t140 () (and (forall (@list @t135) (or (not (tptp.ssItem @t135)) (not (= @t2 (tptp.cons @t135 tptp.nil))) (not (tptp.memberP @t1 @t135)))) @t118)) % 0.37/0.70 (define @t141 () (or @t127 @t126 @t123 @t122 @t140)) % 0.37/0.70 (define @t142 () (forall @t7 @t141)) % 0.37/0.70 (define @t143 () (or @t107 @t142)) % 0.37/0.70 (define @t144 () (or @t107 @t141)) % 0.37/0.70 (define @t145 () (or @t127 @t126 @t123 @t107 @t122 @t140)) % 0.37/0.70 (define @t146 () (or @t126 @t123 @t127 @t107 @t122 @t140)) % 0.37/0.70 (define @t147 () (@var "BOUND_VARIABLE_11017" $$unsorted)) % 0.37/0.70 (define @t148 () (@list @t147)) % 0.37/0.70 (define @t149 () (forall @t148 @t118)) % 0.37/0.70 (define @t150 () (not (tptp.memberP @t1 @t147))) % 0.37/0.70 (define @t151 () (tptp.cons @t147 tptp.nil)) % 0.37/0.70 (define @t152 () (not (tptp.ssItem @t147))) % 0.37/0.70 (define @t153 () (or @t152 (not (= @t2 @t151)) @t150)) % 0.37/0.70 (define @t154 () (forall @t148 @t153)) % 0.37/0.70 (define @t155 () (@list @t147)) % 0.37/0.70 (define @t156 () (and @t154 @t149)) % 0.37/0.70 (define @t157 () (and @t153 @t118)) % 0.37/0.70 (define @t158 () (forall @t148 @t157)) % 0.37/0.70 (define @t159 () (or @t107 @t122 @t158)) % 0.37/0.70 (define @t160 () (or @t107 @t122 @t157)) % 0.37/0.70 (define @t161 () (not (= @t2 @t2))) % 0.37/0.70 (define @t162 () (or @t107 @t161 @t122 @t157)) % 0.37/0.70 (define @t163 () (or @t152 (not (= @t12 @t151)) @t150)) % 0.37/0.70 (define @t164 () (and @t163 @t118)) % 0.37/0.70 (define @t165 () (not (= @t12 tptp.nil))) % 0.37/0.70 (define @t166 () (and @t165 @t121)) % 0.37/0.70 (define @t167 () (not @t15)) % 0.37/0.70 (define @t168 () (or @t82 @t167 @t82 @t166 @t164)) % 0.37/0.70 (define @t169 () (or @t167 @t82 @t166 @t164)) % 0.37/0.70 (define @t170 () (forall @t16 @t169)) % 0.37/0.70 (define @t171 () (forall @t148 @t170)) % 0.37/0.70 (define @t172 () (forall (@list @t147 @t12) @t169)) % 0.37/0.70 (define @t173 () (forall (@list @t12 @t147) @t169)) % 0.37/0.70 (define @t174 () (forall @t148 @t169)) % 0.37/0.70 (define @t175 () (forall @t148 @t163)) % 0.37/0.70 (define @t176 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 0.37/0.70 (define @t177 () (@list @t176)) % 0.37/0.70 (define @t178 () (and @t175 @t149)) % 0.37/0.70 (define @t179 () (forall @t148 @t164)) % 0.37/0.70 (define @t180 () (or @t167 @t82 @t166 @t179)) % 0.37/0.70 (define @t181 () (and (forall (@list @t176) (or (not (tptp.ssItem @t176)) (not (= @t12 (tptp.cons @t176 tptp.nil))) (not (tptp.memberP @t1 @t176)))) @t118)) % 0.37/0.70 (define @t182 () (or @t167 @t82 @t166 @t181)) % 0.37/0.70 (define @t183 () (forall @t16 @t182)) % 0.37/0.70 (define @t184 () (or @t126 @t123 @t127 @t183)) % 0.37/0.70 (define @t185 () (or @t126 @t123 @t127 @t182)) % 0.37/0.70 (define @t186 () (or @t167 @t82 @t126 @t123 @t127 @t166 @t181)) % 0.37/0.70 (define @t187 () (or @t82 @t126 @t123 @t127 @t166 @t181)) % 0.37/0.70 (define @t188 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 0.37/0.70 (define @t189 () (@list @t188)) % 0.37/0.70 (define @t190 () (forall @t189 @t118)) % 0.37/0.70 (define @t191 () (not (= @t12 (tptp.cons @t188 tptp.nil)))) % 0.37/0.70 (define @t192 () (not (tptp.ssItem @t188))) % 0.37/0.70 (define @t193 () (or @t192 @t191 (not (tptp.memberP @t1 @t188)))) % 0.37/0.70 (define @t194 () (forall @t189 @t193)) % 0.37/0.70 (define @t195 () (@list @t188)) % 0.37/0.70 (define @t196 () (and @t194 @t190)) % 0.37/0.70 (define @t197 () (and @t193 @t118)) % 0.37/0.70 (define @t198 () (forall @t189 @t197)) % 0.37/0.70 (define @t199 () (or @t127 @t166 @t198)) % 0.37/0.70 (define @t200 () (or @t127 @t166 @t197)) % 0.37/0.70 (define @t201 () (not (= @t1 @t1))) % 0.37/0.70 (define @t202 () (or @t127 @t201 @t166 @t197)) % 0.37/0.70 (define @t203 () (or @t192 @t191 (not (tptp.memberP @t10 @t188)))) % 0.37/0.70 (define @t204 () (and @t203 @t66)) % 0.37/0.70 (define @t205 () (and @t165 (= @t10 tptp.nil))) % 0.37/0.70 (define @t206 () (not @t13)) % 0.37/0.70 (define @t207 () (or @t83 @t206 @t83 @t205 @t204)) % 0.37/0.70 (define @t208 () (or @t206 @t83 @t205 @t204)) % 0.37/0.70 (define @t209 () (forall @t14 @t208)) % 0.37/0.70 (define @t210 () (forall @t189 @t209)) % 0.37/0.70 (define @t211 () (forall (@list @t188 @t10) @t208)) % 0.37/0.70 (define @t212 () (forall (@list @t10 @t188) @t208)) % 0.37/0.70 (define @t213 () (forall @t189 @t208)) % 0.37/0.70 (define @t214 () (forall @t189 @t66)) % 0.37/0.70 (define @t215 () (forall @t189 @t203)) % 0.37/0.70 (define @t216 () (and @t215 @t214)) % 0.37/0.70 (define @t217 () (forall @t189 @t204)) % 0.37/0.70 (define @t218 () (or @t206 @t83 @t205 @t217)) % 0.37/0.70 (define @t219 () (not (= @t12 @t68))) % 0.37/0.70 (define @t220 () (not @t71)) % 0.37/0.70 (define @t221 () (or @t220 @t219 @t67)) % 0.37/0.70 (define @t222 () (and (forall @t31 @t221) @t66)) % 0.37/0.70 (define @t223 () (or @t206 @t83 @t205 @t222)) % 0.37/0.70 (define @t224 () (forall @t14 @t223)) % 0.37/0.70 (define @t225 () (or @t82 @t126 @t123 @t224)) % 0.37/0.70 (define @t226 () (or @t82 @t126 @t123 @t223)) % 0.37/0.70 (define @t227 () (or @t206 @t83 @t82 @t126 @t205 @t123 @t222)) % 0.37/0.70 (define @t228 () (or @t83 @t82 @t126 @t205 @t123 @t222)) % 0.37/0.70 (define @t229 () (or @t219 @t67)) % 0.37/0.70 (define @t230 () (and @t79 @t102 @t77)) % 0.37/0.70 (define @t231 () (forall @t33 (not @t230))) % 0.37/0.70 (define @t232 () (not @t231)) % 0.37/0.70 (define @t233 () (= tptp.nil @t94)) % 0.37/0.70 (define @t234 () (forall @t111 (or @t107 @t106 @t105 (and @t233 @t97) (and @t98 @t233) @t96))) % 0.37/0.70 (define @t235 () (@quantifiers_skolemize @t234 1)) % 0.37/0.70 (define @t236 () (tptp.neq @t235 tptp.nil)) % 0.37/0.70 (define @t237 () (@quantifiers_skolemize @t234 2)) % 0.37/0.70 (define @t238 () (not (tptp.memberP @t235 @t237))) % 0.37/0.70 (define @t239 () (tptp.cons @t237 tptp.nil)) % 0.37/0.70 (define @t240 () (@quantifiers_skolemize @t234 0)) % 0.37/0.70 (define @t241 () (not (tptp.ssItem @t237))) % 0.37/0.70 (define @t242 () (or @t241 (not (= @t240 @t239)) @t238)) % 0.37/0.70 (define @t243 () (and @t242 @t236)) % 0.37/0.70 (define @t244 () (= tptp.nil @t235)) % 0.37/0.70 (define @t245 () (= tptp.nil @t240)) % 0.37/0.70 (define @t246 () (not @t245)) % 0.37/0.70 (define @t247 () (and @t246 @t244)) % 0.37/0.70 (define @t248 () (and @t244 @t245)) % 0.37/0.70 (define @t249 () (not (tptp.memberP @t235 @t28))) % 0.37/0.70 (define @t250 () (forall @t33 (or @t104 (not (= @t78 @t240)) @t249))) % 0.37/0.70 (define @t251 () (not @t250)) % 0.37/0.70 (define @t252 () (tptp.ssList @t235)) % 0.37/0.70 (define @t253 () (not @t252)) % 0.37/0.70 (define @t254 () (not (tptp.ssList @t240))) % 0.37/0.70 (define @t255 () (or @t254 @t253 @t251 @t248 @t247 @t243)) % 0.37/0.70 (define @t256 () (not @t255)) % 0.37/0.70 (define @t257 () (not @t234)) % 0.37/0.70 (define @t258 () (= @t240 tptp.nil)) % 0.37/0.70 (define @t259 () (not @t258)) % 0.37/0.70 (define @t260 () (and @t259 @t244)) % 0.37/0.70 (define @t261 () (and @t244 @t258)) % 0.37/0.70 (define @t262 () (not (= @t240 @t78))) % 0.37/0.70 (define @t263 () (or @t104 @t262 @t249)) % 0.37/0.70 (define @t264 () (forall @t33 @t263)) % 0.37/0.70 (define @t265 () (not @t264)) % 0.37/0.70 (define @t266 () (or @t254 @t253 @t265 @t261 @t260 @t243)) % 0.37/0.70 (define @t267 () (not @t266)) % 0.37/0.70 (define @t268 () (@list true)) % 0.37/0.70 (define @t269 () (@list @t255)) % 0.37/0.70 (define @t270 () (@var "BOUND_VARIABLE_9108" $$unsorted)) % 0.37/0.70 (define @t271 () (= (tptp.neq @t2 @t270) (not (= @t2 @t270)))) % 0.37/0.70 (define @t272 () (not (tptp.ssList @t270))) % 0.37/0.70 (define @t273 () (or @t107 @t272 @t271)) % 0.37/0.70 (define @t274 () (or @t272 @t271)) % 0.37/0.70 (define @t275 () (or @t107 @t274)) % 0.37/0.70 (define @t276 () (@list @t2 @t270)) % 0.37/0.70 (define @t277 () (forall @t276 @t275)) % 0.37/0.70 (define @t278 () (@list @t270)) % 0.37/0.70 (define @t279 () (forall @t278 @t275)) % 0.37/0.70 (define @t280 () (forall @t278 @t274)) % 0.37/0.70 (define @t281 () (or @t107 @t280)) % 0.37/0.70 (define @t282 () (forall @t7 (or @t127 @t5))) % 0.37/0.70 (define @t283 () (not (= @t235 tptp.nil))) % 0.37/0.70 (define @t284 () (= @t236 @t283)) % 0.37/0.70 (define @t285 () (not @t41)) % 0.37/0.70 (define @t286 () (or @t253 @t285 @t284)) % 0.37/0.70 (define @t287 () (forall @t276 @t273)) % 0.37/0.70 (define @t288 () (not @t244)) % 0.37/0.70 (define @t289 () (= @t236 @t288)) % 0.37/0.70 (define @t290 () (or @t253 @t285 @t289)) % 0.37/0.70 (define @t291 () (@list false)) % 0.37/0.70 (define @t292 () (not (= @t239 @t240))) % 0.37/0.70 (define @t293 () (or @t241 @t292 @t238)) % 0.37/0.70 (define @t294 () (@list true false)) % 0.37/0.70 (define @t295 () (not @t289)) % 0.37/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.70 (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))))))))))) % 0.37/0.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.70 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.37/0.70 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.37/0.70 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.37/0.70 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.37/0.70 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.37/0.70 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.37/0.70 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.37/0.70 (assume @p15 @t39) % 0.37/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.37/0.70 (assume @p17 @t41) % 0.37/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.37/0.70 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t42))))))))))) % 0.37/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.37/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.37/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.37/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.37/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 0.37/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.37/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 0.37/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 0.37/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 0.37/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 0.37/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 0.37/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 0.37/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 0.37/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 0.37/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 0.37/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.70 (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)))))))))))) % 0.37/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 0.37/0.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t58 @t1))))))))) % 0.37/0.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 0.37/0.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t58 @t10) @t1))))))))))) % 0.37/0.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 0.37/0.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t59)))) % 0.37/0.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t59)))) % 0.37/0.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t59)))) % 0.37/0.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t59)))) % 0.37/0.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60))))))))) % 0.37/0.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t59)))) % 0.37/0.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60))))))))) % 0.37/0.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t59)))) % 0.37/0.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t59)))) % 0.37/0.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.70 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 0.37/0.70 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 0.37/0.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t46 (= @t60 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 0.37/0.70 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 0.37/0.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t64)))))))) % 0.37/0.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t64)))))))) % 0.37/0.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.37/0.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t48) @t65)))))) % 0.37/0.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 0.37/0.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 0.37/0.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 0.37/0.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 0.37/0.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 0.37/0.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.70 (assume @p96 @t93) % 0.37/0.70 (assume @p97 true) % 0.37/0.70 (step @p98 :rule refl :args (@t96)) % 0.37/0.70 (step @p99 :rule eq-symm :args (@t94 tptp.nil)) % 0.37/0.70 (step @p100 :rule refl :args (@t98)) % 0.37/0.70 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t100)) % 0.37/0.70 (step @p102 :rule refl :args (@t97)) % 0.37/0.70 (step @p103 :rule nary_cong :premises (@p99 @p102) :args (@t101)) % 0.37/0.70 (step @p104 :rule refl :args (@t105)) % 0.37/0.70 (step @p105 :rule refl :args (@t106)) % 0.37/0.70 (step @p106 :rule refl :args (@t107)) % 0.37/0.70 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p101 @p98) :args (@t108)) % 0.37/0.70 (step @p108 :rule aci_norm :args ((= @t110 @t108))) % 0.37/0.70 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.70 (step @p110 :rule cong :premises (@p109) :args (@t112)) % 0.37/0.70 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t114) @t112))) % 0.37/0.70 (step @p112 :rule alpha_equiv :args (@t115 (@list @t94 @t95) (@list @t1 @t116))) % 0.37/0.70 (step @p113 :rule refl :args (@t107)) % 0.37/0.70 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t117)) % 0.37/0.70 (step @p115 :rule quant-miniscope-or :args ((= @t114 @t117))) % 0.37/0.70 (step @p116 :rule trans :premises (@p115 @p114)) % 0.37/0.70 (step @p117 :rule symm :premises (@p116)) % 0.37/0.70 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t130))) % 0.37/0.70 (step @p119 :rule trans :premises (@p118 @p111)) % 0.37/0.70 (step @p120 :rule trans :premises (@p119 @p110)) % 0.37/0.70 (step @p121 :rule aci_norm :args ((= (or @t107 @t130) @t130))) % 0.37/0.70 (step @p122 :rule bool-impl-elim :args (@t17 @t130)) % 0.37/0.70 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.70 (step @p124 :rule cong :premises (@p123) :args ((forall @t9 (=> @t17 @t130)))) % 0.37/0.70 (step @p125 :rule trans :premises (@p124 @p120)) % 0.37/0.70 (step @p126 :rule quant-merge-prenex :args ((= (forall @t7 @t132) @t129))) % 0.37/0.70 (step @p127 :rule quant-unused-vars :args ((= @t133 @t118))) % 0.37/0.70 (step @p128 :rule alpha_equiv :args (@t134 (@list @t116) @t136)) % 0.37/0.70 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t137)) % 0.37/0.70 (step @p130 :rule quant-miniscope-and :args ((= @t138 @t137))) % 0.37/0.70 (step @p131 :rule trans :premises (@p130 @p129)) % 0.37/0.70 (step @p132 :rule refl :args (@t122)) % 0.37/0.70 (step @p133 :rule refl :args (@t123)) % 0.37/0.70 (step @p134 :rule refl :args (@t126)) % 0.37/0.70 (step @p135 :rule refl :args (@t127)) % 0.37/0.70 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131) :args (@t139)) % 0.37/0.70 (step @p137 :rule quant-miniscope-or :args ((= @t132 @t139))) % 0.37/0.70 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.70 (step @p139 :rule symm :premises (@p138)) % 0.37/0.70 (step @p140 :rule cong :premises (@p139) :args (@t142)) % 0.37/0.70 (step @p141 :rule trans :premises (@p140 @p126)) % 0.37/0.70 (step @p142 :rule nary_cong :premises (@p106 @p141) :args (@t143)) % 0.37/0.70 (step @p143 :rule quant-miniscope-or :args ((= (forall @t7 @t144) @t143))) % 0.37/0.70 (step @p144 :rule aci_norm :args ((= @t145 @t144))) % 0.37/0.70 (step @p145 :rule cong :premises (@p144) :args ((forall @t7 @t145))) % 0.37/0.70 (step @p146 :rule trans :premises (@p145 @p143)) % 0.37/0.70 (step @p147 :rule trans :premises (@p146 @p142)) % 0.37/0.70 (step @p148 :rule aci_norm :args ((= (or @t127 @t146) @t145))) % 0.37/0.70 (step @p149 :rule bool-impl-elim :args (@t21 @t146)) % 0.37/0.70 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.70 (step @p151 :rule cong :premises (@p150) :args ((forall @t7 (=> @t21 @t146)))) % 0.37/0.70 (step @p152 :rule trans :premises (@p151 @p147)) % 0.37/0.70 (step @p153 :rule aci_norm :args ((= (or @t126 @t123 @t127 (or @t107 @t122 @t140)) @t146))) % 0.37/0.70 (step @p154 :rule quant-unused-vars :args ((= @t149 @t118))) % 0.37/0.70 (step @p155 :rule alpha_equiv :args (@t154 @t155 @t136)) % 0.37/0.70 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t156)) % 0.37/0.70 (step @p157 :rule quant-miniscope-and :args ((= @t158 @t156))) % 0.37/0.70 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.70 (step @p159 :rule refl :args (@t122)) % 0.37/0.70 (step @p160 :rule nary_cong :premises (@p106 @p159 @p158) :args (@t159)) % 0.37/0.70 (step @p161 :rule quant-miniscope-or :args ((= (forall @t148 @t160) @t159))) % 0.37/0.70 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.70 (step @p163 :rule aci_norm :args ((= (or @t107 false @t122 @t157) @t160))) % 0.37/0.70 (step @p164 :rule refl :args (@t157)) % 0.37/0.70 (step @p165 :rule evaluate :args ((not true))) % 0.37/0.70 (step @p166 :rule eq-refl :args (@t2)) % 0.37/0.70 (step @p167 :rule cong :premises (@p166) :args (@t161)) % 0.37/0.70 (step @p168 :rule trans :premises (@p167 @p165)) % 0.37/0.70 (step @p169 :rule nary_cong :premises (@p106 @p168 @p159 @p164) :args (@t162)) % 0.37/0.70 (step @p170 :rule trans :premises (@p169 @p163)) % 0.37/0.70 (step @p171 :rule cong :premises (@p170) :args ((forall @t148 @t162))) % 0.37/0.70 (step @p172 :rule trans :premises (@p171 @p162)) % 0.37/0.70 (step @p173 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t64) @t167 @t82 @t166 @t164)) @t162))) % 0.37/0.70 (step @p174 :rule refl :args (@t164)) % 0.37/0.70 (step @p175 :rule refl :args (@t166)) % 0.37/0.70 (step @p176 :rule refl :args (@t82)) % 0.37/0.70 (step @p177 :rule refl :args (@t167)) % 0.37/0.70 (step @p178 :rule eq-symm :args (@t2 @t12)) % 0.37/0.70 (step @p179 :rule cong :premises (@p178) :args (@t82)) % 0.37/0.70 (step @p180 :rule nary_cong :premises (@p179 @p177 @p176 @p175 @p174) :args (@t168)) % 0.37/0.70 (step @p181 :rule aci_norm :args ((= @t169 @t168))) % 0.37/0.70 (step @p182 :rule trans :premises (@p181 @p180)) % 0.37/0.70 (step @p183 :rule cong :premises (@p182) :args (@t170)) % 0.37/0.70 (step @p184 :rule trans :premises (@p183 @p173)) % 0.37/0.70 (step @p185 :rule cong :premises (@p184) :args (@t171)) % 0.37/0.70 (step @p186 :rule quant-merge-prenex :args ((= @t171 @t172))) % 0.37/0.70 (step @p187 :rule symm :premises (@p186)) % 0.37/0.70 (step @p188 :rule quant_var_reordering :args ((= @t173 @t172))) % 0.37/0.70 (step @p189 :rule trans :premises (@p188 @p187 @p185)) % 0.37/0.70 (step @p190 :rule trans :premises (@p189 @p172)) % 0.37/0.70 (step @p191 :rule quant-merge-prenex :args ((= (forall @t16 @t174) @t173))) % 0.37/0.70 (step @p192 :rule alpha_equiv :args (@t175 @t155 @t177)) % 0.37/0.70 (step @p193 :rule nary_cong :premises (@p192 @p154) :args (@t178)) % 0.37/0.70 (step @p194 :rule quant-miniscope-and :args ((= @t179 @t178))) % 0.37/0.70 (step @p195 :rule trans :premises (@p194 @p193)) % 0.37/0.70 (step @p196 :rule nary_cong :premises (@p177 @p176 @p175 @p195) :args (@t180)) % 0.37/0.70 (step @p197 :rule quant-miniscope-or :args ((= @t174 @t180))) % 0.37/0.70 (step @p198 :rule trans :premises (@p197 @p196)) % 0.37/0.70 (step @p199 :rule symm :premises (@p198)) % 0.37/0.70 (step @p200 :rule cong :premises (@p199) :args (@t183)) % 0.37/0.70 (step @p201 :rule trans :premises (@p200 @p191)) % 0.37/0.70 (step @p202 :rule trans :premises (@p201 @p190)) % 0.37/0.70 (step @p203 :rule refl :args (@t127)) % 0.37/0.70 (step @p204 :rule refl :args (@t123)) % 0.37/0.70 (step @p205 :rule refl :args (@t126)) % 0.37/0.70 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203 @p202) :args (@t184)) % 0.37/0.70 (step @p207 :rule trans :premises (@p206 @p153)) % 0.37/0.70 (step @p208 :rule quant-miniscope-or :args ((= (forall @t16 @t185) @t184))) % 0.37/0.70 (step @p209 :rule aci_norm :args ((= @t186 @t185))) % 0.37/0.70 (step @p210 :rule cong :premises (@p209) :args ((forall @t16 @t186))) % 0.37/0.70 (step @p211 :rule trans :premises (@p210 @p208)) % 0.37/0.70 (step @p212 :rule trans :premises (@p211 @p207)) % 0.37/0.70 (step @p213 :rule aci_norm :args ((= (or @t167 @t187) @t186))) % 0.37/0.70 (step @p214 :rule bool-impl-elim :args (@t15 @t187)) % 0.37/0.70 (step @p215 :rule trans :premises (@p214 @p213)) % 0.37/0.70 (step @p216 :rule cong :premises (@p215) :args ((forall @t16 (=> @t15 @t187)))) % 0.37/0.70 (step @p217 :rule trans :premises (@p216 @p212)) % 0.37/0.70 (step @p218 :rule aci_norm :args ((= (or @t82 @t126 @t123 (or @t127 @t166 @t181)) @t187))) % 0.37/0.70 (step @p219 :rule quant-unused-vars :args ((= @t190 @t118))) % 0.37/0.70 (step @p220 :rule alpha_equiv :args (@t194 @t195 @t177)) % 0.37/0.70 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t196)) % 0.37/0.70 (step @p222 :rule quant-miniscope-and :args ((= @t198 @t196))) % 0.37/0.70 (step @p223 :rule trans :premises (@p222 @p221)) % 0.37/0.70 (step @p224 :rule refl :args (@t166)) % 0.37/0.70 (step @p225 :rule nary_cong :premises (@p203 @p224 @p223) :args (@t199)) % 0.37/0.70 (step @p226 :rule quant-miniscope-or :args ((= (forall @t189 @t200) @t199))) % 0.37/0.70 (step @p227 :rule trans :premises (@p226 @p225)) % 0.37/0.70 (step @p228 :rule aci_norm :args ((= (or @t127 false @t166 @t197) @t200))) % 0.37/0.70 (step @p229 :rule refl :args (@t197)) % 0.37/0.70 (step @p230 :rule eq-refl :args (@t1)) % 0.37/0.70 (step @p231 :rule cong :premises (@p230) :args (@t201)) % 0.37/0.70 (step @p232 :rule trans :premises (@p231 @p165)) % 0.37/0.70 (step @p233 :rule nary_cong :premises (@p203 @p232 @p224 @p229) :args (@t202)) % 0.37/0.70 (step @p234 :rule trans :premises (@p233 @p228)) % 0.37/0.70 (step @p235 :rule cong :premises (@p234) :args ((forall @t189 @t202))) % 0.37/0.70 (step @p236 :rule trans :premises (@p235 @p227)) % 0.37/0.70 (step @p237 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t206 @t83 @t205 @t204)) @t202))) % 0.37/0.70 (step @p238 :rule refl :args (@t204)) % 0.37/0.70 (step @p239 :rule refl :args (@t205)) % 0.37/0.70 (step @p240 :rule refl :args (@t83)) % 0.37/0.70 (step @p241 :rule refl :args (@t206)) % 0.37/0.70 (step @p242 :rule eq-symm :args (@t1 @t10)) % 0.37/0.70 (step @p243 :rule cong :premises (@p242) :args (@t83)) % 0.37/0.70 (step @p244 :rule nary_cong :premises (@p243 @p241 @p240 @p239 @p238) :args (@t207)) % 0.37/0.70 (step @p245 :rule aci_norm :args ((= @t208 @t207))) % 0.37/0.70 (step @p246 :rule trans :premises (@p245 @p244)) % 0.37/0.70 (step @p247 :rule cong :premises (@p246) :args (@t209)) % 0.37/0.70 (step @p248 :rule trans :premises (@p247 @p237)) % 0.37/0.70 (step @p249 :rule cong :premises (@p248) :args (@t210)) % 0.37/0.70 (step @p250 :rule quant-merge-prenex :args ((= @t210 @t211))) % 0.37/0.70 (step @p251 :rule symm :premises (@p250)) % 0.37/0.70 (step @p252 :rule quant_var_reordering :args ((= @t212 @t211))) % 0.37/0.70 (step @p253 :rule trans :premises (@p252 @p251 @p249)) % 0.37/0.70 (step @p254 :rule trans :premises (@p253 @p236)) % 0.37/0.70 (step @p255 :rule quant-merge-prenex :args ((= (forall @t14 @t213) @t212))) % 0.37/0.70 (step @p256 :rule quant-unused-vars :args ((= @t214 @t66))) % 0.37/0.70 (step @p257 :rule alpha_equiv :args (@t215 @t195 (@list @t27))) % 0.37/0.70 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t216)) % 0.37/0.70 (step @p259 :rule quant-miniscope-and :args ((= @t217 @t216))) % 0.37/0.70 (step @p260 :rule trans :premises (@p259 @p258)) % 0.37/0.70 (step @p261 :rule nary_cong :premises (@p241 @p240 @p239 @p260) :args (@t218)) % 0.37/0.70 (step @p262 :rule quant-miniscope-or :args ((= @t213 @t218))) % 0.37/0.70 (step @p263 :rule trans :premises (@p262 @p261)) % 0.37/0.70 (step @p264 :rule symm :premises (@p263)) % 0.37/0.70 (step @p265 :rule cong :premises (@p264) :args (@t224)) % 0.37/0.70 (step @p266 :rule trans :premises (@p265 @p255)) % 0.37/0.70 (step @p267 :rule trans :premises (@p266 @p254)) % 0.37/0.70 (step @p268 :rule refl :args (@t82)) % 0.37/0.70 (step @p269 :rule nary_cong :premises (@p268 @p205 @p204 @p267) :args (@t225)) % 0.37/0.70 (step @p270 :rule trans :premises (@p269 @p218)) % 0.37/0.70 (step @p271 :rule quant-miniscope-or :args ((= (forall @t14 @t226) @t225))) % 0.37/0.70 (step @p272 :rule aci_norm :args ((= @t227 @t226))) % 0.37/0.70 (step @p273 :rule cong :premises (@p272) :args ((forall @t14 @t227))) % 0.37/0.70 (step @p274 :rule trans :premises (@p273 @p271)) % 0.37/0.70 (step @p275 :rule trans :premises (@p274 @p270)) % 0.37/0.70 (step @p276 :rule aci_norm :args ((= (or @t206 @t228) @t227))) % 0.37/0.70 (step @p277 :rule bool-impl-elim :args (@t13 @t228)) % 0.37/0.70 (step @p278 :rule trans :premises (@p277 @p276)) % 0.37/0.70 (step @p279 :rule cong :premises (@p278) :args ((forall @t14 (=> @t13 @t228)))) % 0.37/0.70 (step @p280 :rule trans :premises (@p279 @p275)) % 0.37/0.70 (step @p281 :rule refl :args (@t66)) % 0.37/0.70 (step @p282 :rule aci_norm :args ((= (or @t220 @t229) @t221))) % 0.37/0.70 (step @p283 :rule bool-impl-elim :args (@t71 @t229)) % 0.37/0.70 (step @p284 :rule trans :premises (@p283 @p282)) % 0.37/0.70 (step @p285 :rule cong :premises (@p284) :args ((forall @t31 (=> @t71 @t229)))) % 0.37/0.70 (step @p286 :rule refl :args (@t67)) % 0.37/0.70 (step @p287 :rule eq-symm :args (@t68 @t12)) % 0.37/0.70 (step @p288 :rule cong :premises (@p287) :args (@t69)) % 0.37/0.70 (step @p289 :rule nary_cong :premises (@p288 @p286) :args (@t70)) % 0.37/0.70 (step @p290 :rule refl :args (@t71)) % 0.37/0.70 (step @p291 :rule cong :premises (@p290 @p289) :args (@t72)) % 0.37/0.70 (step @p292 :rule cong :premises (@p291) :args (@t73)) % 0.37/0.70 (step @p293 :rule trans :premises (@p292 @p285)) % 0.37/0.70 (step @p294 :rule nary_cong :premises (@p293 @p281) :args (@t74)) % 0.37/0.70 (step @p295 :rule eq-symm :args (tptp.nil @t2)) % 0.37/0.70 (step @p296 :rule eq-symm :args (tptp.nil @t1)) % 0.37/0.70 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t65)) % 0.37/0.70 (step @p298 :rule eq-symm :args (tptp.nil @t10)) % 0.37/0.70 (step @p299 :rule eq-symm :args (tptp.nil @t12)) % 0.37/0.70 (step @p300 :rule cong :premises (@p299) :args (@t75)) % 0.37/0.70 (step @p301 :rule nary_cong :premises (@p300 @p298) :args (@t76)) % 0.37/0.70 (step @p302 :rule aci_norm :args ((= (or @t104 (or @t103 @t124)) @t125))) % 0.37/0.70 (step @p303 :rule bool-and-de-morgan :args (@t102 @t77 true)) % 0.37/0.70 (step @p304 :rule refl :args (@t104)) % 0.37/0.70 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t104 (not (and @t102 @t77))))) % 0.37/0.70 (step @p306 :rule bool-and-de-morgan :args (@t79 @t102 (and @t77))) % 0.37/0.70 (step @p307 :rule trans :premises (@p306 @p305)) % 0.37/0.70 (step @p308 :rule trans :premises (@p307 @p302)) % 0.37/0.70 (step @p309 :rule cong :premises (@p308) :args (@t231)) % 0.37/0.70 (step @p310 :rule cong :premises (@p309) :args (@t232)) % 0.37/0.70 (step @p311 :rule exists-elim :args ((= (exists @t33 @t230) @t232))) % 0.37/0.70 (step @p312 :rule trans :premises (@p311 @p310)) % 0.37/0.70 (step @p313 :rule refl :args (@t77)) % 0.37/0.70 (step @p314 :rule eq-symm :args (@t78 @t2)) % 0.37/0.70 (step @p315 :rule refl :args (@t79)) % 0.37/0.70 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313) :args (@t80)) % 0.37/0.70 (step @p317 :rule cong :premises (@p316) :args (@t81)) % 0.37/0.70 (step @p318 :rule trans :premises (@p317 @p312)) % 0.37/0.70 (step @p319 :rule refl :args (@t83)) % 0.37/0.70 (step @p320 :rule nary_cong :premises (@p319 @p268 @p318 @p301 @p297 @p294) :args (@t84)) % 0.37/0.70 (step @p321 :rule refl :args (@t13)) % 0.37/0.70 (step @p322 :rule cong :premises (@p321 @p320) :args (@t85)) % 0.37/0.70 (step @p323 :rule cong :premises (@p322) :args (@t86)) % 0.37/0.70 (step @p324 :rule trans :premises (@p323 @p280)) % 0.37/0.70 (step @p325 :rule refl :args (@t15)) % 0.37/0.70 (step @p326 :rule cong :premises (@p325 @p324) :args (@t87)) % 0.37/0.70 (step @p327 :rule cong :premises (@p326) :args (@t88)) % 0.37/0.70 (step @p328 :rule trans :premises (@p327 @p217)) % 0.37/0.70 (step @p329 :rule refl :args (@t21)) % 0.37/0.70 (step @p330 :rule cong :premises (@p329 @p328) :args (@t89)) % 0.37/0.70 (step @p331 :rule cong :premises (@p330) :args (@t90)) % 0.37/0.70 (step @p332 :rule trans :premises (@p331 @p152)) % 0.37/0.70 (step @p333 :rule refl :args (@t17)) % 0.37/0.70 (step @p334 :rule cong :premises (@p333 @p332) :args (@t91)) % 0.37/0.70 (step @p335 :rule cong :premises (@p334) :args (@t92)) % 0.37/0.70 (step @p336 :rule trans :premises (@p335 @p125)) % 0.37/0.70 (step @p337 :rule cong :premises (@p336) :args (@t93)) % 0.37/0.70 (step @p338 :rule eq_resolve :premises (@p96 @p337)) % 0.37/0.70 (step @p339 :rule refl :args (@t256)) % 0.37/0.70 (step @p340 :rule bool-double-not-elim :args (@t234)) % 0.37/0.70 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t257) @t256))) % 0.37/0.70 (step @p342 :rule refl :args (@t243)) % 0.37/0.70 (step @p343 :rule refl :args (@t244)) % 0.37/0.70 (step @p344 :rule eq-symm :args (@t240 tptp.nil)) % 0.37/0.70 (step @p345 :rule cong :premises (@p344) :args (@t259)) % 0.37/0.70 (step @p346 :rule nary_cong :premises (@p345 @p343) :args (@t260)) % 0.37/0.70 (step @p347 :rule nary_cong :premises (@p343 @p344) :args (@t261)) % 0.37/0.70 (step @p348 :rule refl :args (@t249)) % 0.37/0.70 (step @p349 :rule eq-symm :args (@t240 @t78)) % 0.37/0.70 (step @p350 :rule cong :premises (@p349) :args (@t262)) % 0.37/0.70 (step @p351 :rule refl :args (@t104)) % 0.37/0.70 (step @p352 :rule nary_cong :premises (@p351 @p350 @p348) :args (@t263)) % 0.37/0.70 (step @p353 :rule cong :premises (@p352) :args (@t264)) % 0.37/0.70 (step @p354 :rule cong :premises (@p353) :args (@t265)) % 0.37/0.70 (step @p355 :rule refl :args (@t253)) % 0.37/0.70 (step @p356 :rule refl :args (@t254)) % 0.37/0.70 (step @p357 :rule nary_cong :premises (@p356 @p355 @p354 @p347 @p346 @p342) :args (@t266)) % 0.37/0.70 (step @p358 :rule cong :premises (@p357) :args (@t267)) % 0.37/0.70 (step @p359 :rule refl :args (@t257)) % 0.37/0.70 (step @p360 :rule cong :premises (@p359 @p358) :args ((=> @t257 @t267))) % 0.37/0.70 (assume-push @p461 @t257) % 0.37/0.70 (step @p362 :rule skolemize :premises (@p338)) % 0.37/0.70 (step-pop @p462 :rule scope :premises (@p362)) % 0.37/0.70 (step @p363 :rule process_scope :premises (@p462) :args (@t267)) % 0.37/0.70 (step @p365 :rule eq_resolve :premises (@p363 @p360)) % 0.37/0.70 (step @p366 :rule implies_elim :premises (@p365)) % 0.37/0.70 (step @p367 :rule eq_resolve :premises (@p366 @p341)) % 0.37/0.70 (step @p368 :rule chain_m_resolution :premises (@p367 @p338) :args (@t256 @t268 (@list @t234))) % 0.37/0.70 (step @p369 :rule cnf_or_neg :args (@t255 4)) % 0.37/0.70 (step @p370 :rule chain_m_resolution :premises (@p369 @p368) :args ((not @t247) @t268 @t269)) % 0.37/0.70 (step @p371 :rule aci_norm :args ((= @t275 @t273))) % 0.37/0.70 (step @p372 :rule cong :premises (@p371) :args (@t277)) % 0.37/0.70 (step @p373 :rule quant-merge-prenex :args ((= (forall @t9 @t279) @t277))) % 0.37/0.70 (step @p374 :rule alpha_equiv :args (@t280 (@list @t270) (@list @t1))) % 0.37/0.70 (step @p375 :rule nary_cong :premises (@p113 @p374) :args (@t281)) % 0.37/0.70 (step @p376 :rule quant-miniscope-or :args ((= @t279 @t281))) % 0.37/0.70 (step @p377 :rule trans :premises (@p376 @p375)) % 0.37/0.70 (step @p378 :rule symm :premises (@p377)) % 0.37/0.70 (step @p379 :rule cong :premises (@p378) :args ((forall @t9 (or @t107 @t282)))) % 0.37/0.70 (step @p380 :rule trans :premises (@p379 @p373)) % 0.37/0.70 (step @p381 :rule trans :premises (@p380 @p372)) % 0.37/0.70 (step @p382 :rule bool-impl-elim :args (@t17 @t282)) % 0.37/0.70 (step @p383 :rule cong :premises (@p382) :args ((forall @t9 (=> @t17 @t282)))) % 0.37/0.70 (step @p384 :rule trans :premises (@p383 @p381)) % 0.37/0.70 (step @p385 :rule bool-impl-elim :args (@t21 @t5)) % 0.37/0.70 (step @p386 :rule cong :premises (@p385) :args (@t37)) % 0.37/0.70 (step @p387 :rule cong :premises (@p333 @p386) :args (@t38)) % 0.37/0.70 (step @p388 :rule cong :premises (@p387) :args (@t39)) % 0.37/0.70 (step @p389 :rule trans :premises (@p388 @p384)) % 0.37/0.70 (step @p390 :rule eq_resolve :premises (@p15 @p389)) % 0.37/0.70 (step @p391 :rule eq-symm :args (@t235 tptp.nil)) % 0.37/0.70 (step @p392 :rule cong :premises (@p391) :args (@t283)) % 0.37/0.70 (step @p393 :rule refl :args (@t236)) % 0.37/0.70 (step @p394 :rule cong :premises (@p393 @p392) :args (@t284)) % 0.37/0.70 (step @p395 :rule refl :args (@t285)) % 0.37/0.70 (step @p396 :rule nary_cong :premises (@p355 @p395 @p394) :args (@t286)) % 0.37/0.70 (step @p397 :rule refl :args (@t287)) % 0.37/0.70 (step @p398 :rule cong :premises (@p397 @p396) :args ((=> @t287 @t286))) % 0.37/0.70 (assume-push @p463 @t287) % 0.37/0.70 (step @p400 :rule instantiate :premises (@p390) :args ((@list @t235 tptp.nil))) % 0.37/0.70 (step-pop @p464 :rule scope :premises (@p400)) % 0.37/0.70 (step @p401 :rule process_scope :premises (@p464) :args (@t286)) % 0.37/0.70 (step @p403 :rule eq_resolve :premises (@p401 @p398)) % 0.37/0.70 (step @p404 :rule implies_elim :premises (@p403)) % 0.37/0.70 (step @p405 :rule chain_m_resolution :premises (@p404 @p390) :args (@t290 @t291 (@list @t287))) % 0.37/0.70 (step @p406 :rule bool-double-not-elim :args (@t252)) % 0.37/0.70 (step @p407 :rule refl :args (@t255)) % 0.37/0.70 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t255 (not @t253)))) % 0.37/0.70 (step @p409 :rule cnf_or_neg :args (@t255 1)) % 0.37/0.70 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 0.37/0.70 (step @p411 :rule reordering :premises (@p410) :args ((or @t252 @t255))) % 0.37/0.70 (step @p412 :rule chain_m_resolution :premises (@p411 @p368) :args (@t252 @t268 @t269)) % 0.37/0.70 (step @p413 :rule cnf_or_pos :args (@t290)) % 0.37/0.70 (step @p414 :rule reordering :premises (@p413) :args ((or @t285 @t253 @t289 (not @t290)))) % 0.37/0.70 (step @p415 :rule chain_m_resolution :premises (@p414 @p17 @p412 @p405) :args (@t289 (@list false false false) (@list @t41 @t252 @t290))) % 0.37/0.70 (step @p416 :rule bool-double-not-elim :args (@t250)) % 0.37/0.70 (step @p417 :rule nary_cong :premises (@p407 @p416) :args ((or @t255 (not @t251)))) % 0.37/0.70 (step @p418 :rule cnf_or_neg :args (@t255 2)) % 0.37/0.70 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 0.37/0.70 (step @p420 :rule reordering :premises (@p419) :args ((or @t250 @t255))) % 0.37/0.70 (step @p421 :rule chain_m_resolution :premises (@p420 @p368) :args (@t250 @t268 @t269)) % 0.37/0.70 (step @p422 :rule refl :args (@t238)) % 0.37/0.70 (step @p423 :rule eq-symm :args (@t239 @t240)) % 0.37/0.70 (step @p424 :rule cong :premises (@p423) :args (@t292)) % 0.37/0.70 (step @p425 :rule refl :args (@t241)) % 0.37/0.70 (step @p426 :rule nary_cong :premises (@p425 @p424 @p422) :args (@t293)) % 0.37/0.70 (step @p427 :rule refl :args (@t250)) % 0.37/0.70 (step @p428 :rule cong :premises (@p427 @p426) :args ((=> @t250 @t293))) % 0.37/0.70 (assume-push @p465 @t250) % 0.37/0.70 (step @p430 :rule instantiate :premises (@p421) :args ((@list @t237))) % 0.37/0.70 (step-pop @p466 :rule scope :premises (@p430)) % 0.37/0.70 (step @p431 :rule process_scope :premises (@p466) :args (@t293)) % 0.37/0.70 (step @p433 :rule eq_resolve :premises (@p431 @p428)) % 0.37/0.70 (step @p434 :rule implies_elim :premises (@p433)) % 0.37/0.70 (step @p435 :rule reordering :premises (@p434) :args ((or @t242 @t251))) % 0.37/0.70 (step @p436 :rule chain_m_resolution :premises (@p435 @p421) :args (@t242 @t291 (@list @t250))) % 0.37/0.70 (step @p437 :rule cnf_or_neg :args (@t255 5)) % 0.37/0.70 (step @p438 :rule chain_m_resolution :premises (@p437 @p368) :args ((not @t243) @t268 @t269)) % 0.37/0.70 (step @p439 :rule cnf_and_neg :args (@t243)) % 0.37/0.70 (step @p440 :rule chain_m_resolution :premises (@p439 @p438 @p436) :args ((not @t236) @t294 (@list @t243 @t242))) % 0.37/0.70 (step @p441 :rule bool-double-not-elim :args (@t244)) % 0.37/0.70 (step @p442 :rule refl :args (@t295)) % 0.37/0.70 (step @p443 :rule nary_cong :premises (@p442 @p393 @p441) :args ((or @t295 @t236 (not @t288)))) % 0.37/0.70 (step @p444 :rule cnf_equiv_pos2 :args (@t289)) % 0.37/0.70 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.37/0.70 (step @p446 :rule reordering :premises (@p445) :args ((or @t244 @t236 @t295))) % 0.37/0.70 (step @p447 :rule chain_m_resolution :premises (@p446 @p440 @p415) :args (@t244 @t294 (@list @t236 @t289))) % 0.37/0.70 (step @p448 :rule cnf_or_neg :args (@t255 3)) % 0.37/0.70 (step @p449 :rule chain_m_resolution :premises (@p448 @p368) :args ((not @t248) @t268 @t269)) % 0.37/0.70 (step @p450 :rule cnf_and_neg :args (@t248)) % 0.37/0.70 (step @p451 :rule reordering :premises (@p450) :args ((or @t248 @t246 @t288))) % 0.37/0.70 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p447) :args (@t246 @t294 (@list @t248 @t244))) % 0.37/0.70 (step @p453 :rule refl :args (@t288)) % 0.37/0.70 (step @p454 :rule bool-double-not-elim :args (@t245)) % 0.37/0.70 (step @p455 :rule refl :args (@t247)) % 0.37/0.70 (step @p456 :rule nary_cong :premises (@p455 @p454 @p453) :args ((or @t247 (not @t246) @t288))) % 0.37/0.70 (step @p457 :rule cnf_and_neg :args (@t247)) % 0.37/0.70 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 0.37/0.70 (step @p459 :rule reordering :premises (@p458) :args ((or @t245 @t247 @t288))) % 0.37/0.70 (step @p460 false :rule chain_m_resolution :premises (@p459 @p452 @p447 @p370) :args (false (@list true false true) (@list @t245 @t244 @t247))) % 0.37/0.70 ) % 0.37/0.70 % SZS output end Proof % 0.37/0.70 % cvc5 exiting %------------------------------------------------------------------------------