%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC419+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 : n015.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 08:59:15 AM UTC 2026 % Result : Theorem 16.87s 17.11s % Output : Proof 16.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC419+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n015.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 19:47:04 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.87/17.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.87/17.11 --- Run --no-e-matching --full-saturate-quant at 6... % 16.87/17.11 % SZS status Theorem % 16.87/17.11 % SZS output start Proof % 16.87/17.11 ( % 16.87/17.11 (declare-sort $$unsorted 0) % 16.87/17.11 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 16.87/17.11 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 16.87/17.11 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 16.87/17.11 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 16.87/17.11 (declare-const tptp.nil $$unsorted) % 16.87/17.11 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.ssList (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 16.87/17.11 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.87/17.11 (define @t1 () (@var "V" $$unsorted)) % 16.87/17.11 (define @t2 () (@var "U" $$unsorted)) % 16.87/17.11 (define @t3 () (= @t2 @t1)) % 16.87/17.11 (define @t4 () (not @t3)) % 16.87/17.11 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 16.87/17.11 (define @t6 () (tptp.ssItem @t1)) % 16.87/17.11 (define @t7 () (@list @t1)) % 16.87/17.11 (define @t8 () (tptp.ssItem @t2)) % 16.87/17.11 (define @t9 () (@list @t2)) % 16.87/17.11 (define @t10 () (@var "X" $$unsorted)) % 16.87/17.11 (define @t11 () (tptp.cons @t1 @t10)) % 16.87/17.11 (define @t12 () (@var "W" $$unsorted)) % 16.87/17.11 (define @t13 () (tptp.ssList @t10)) % 16.87/17.11 (define @t14 () (@list @t10)) % 16.87/17.11 (define @t15 () (tptp.ssList @t12)) % 16.87/17.11 (define @t16 () (@list @t12)) % 16.87/17.11 (define @t17 () (tptp.ssList @t2)) % 16.87/17.11 (define @t18 () (tptp.cons @t1 tptp.nil)) % 16.87/17.11 (define @t19 () (tptp.app @t1 @t12)) % 16.87/17.11 (define @t20 () (tptp.frontsegP @t2 @t1)) % 16.87/17.11 (define @t21 () (tptp.ssList @t1)) % 16.87/17.11 (define @t22 () (tptp.app @t12 @t1)) % 16.87/17.11 (define @t23 () (tptp.rearsegP @t2 @t1)) % 16.87/17.11 (define @t24 () (tptp.segmentP @t2 @t1)) % 16.87/17.11 (define @t25 () (tptp.leq @t12 @t1)) % 16.87/17.11 (define @t26 () (tptp.leq @t1 @t12)) % 16.87/17.11 (define @t27 () (@var "Z" $$unsorted)) % 16.87/17.11 (define @t28 () (@var "Y" $$unsorted)) % 16.87/17.11 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 16.87/17.11 (define @t30 () (tptp.ssList @t27)) % 16.87/17.11 (define @t31 () (@list @t27)) % 16.87/17.11 (define @t32 () (tptp.ssList @t28)) % 16.87/17.11 (define @t33 () (@list @t28)) % 16.87/17.11 (define @t34 () (tptp.ssItem @t12)) % 16.87/17.11 (define @t35 () (tptp.lt @t1 @t12)) % 16.87/17.11 (define @t36 () (= @t1 @t12)) % 16.87/17.11 (define @t37 () (tptp.cons @t1 @t2)) % 16.87/17.11 (define @t38 () (tptp.ssList @t37)) % 16.87/17.11 (define @t39 () (forall @t7 (=> @t6 @t38))) % 16.87/17.11 (define @t40 () (=> @t17 @t39)) % 16.87/17.11 (define @t41 () (forall @t9 @t40)) % 16.87/17.11 (define @t42 () (tptp.ssList tptp.nil)) % 16.87/17.11 (define @t43 () (= @t1 @t2)) % 16.87/17.11 (define @t44 () (tptp.cons @t12 @t1)) % 16.87/17.11 (define @t45 () (= tptp.nil @t2)) % 16.87/17.11 (define @t46 () (tptp.hd @t2)) % 16.87/17.11 (define @t47 () (not @t45)) % 16.87/17.11 (define @t48 () (tptp.tl @t2)) % 16.87/17.11 (define @t49 () (tptp.app @t2 @t1)) % 16.87/17.11 (define @t50 () (tptp.app @t1 @t2)) % 16.87/17.11 (define @t51 () (tptp.app tptp.nil @t2)) % 16.87/17.11 (define @t52 () (=> @t17 (= @t51 @t2))) % 16.87/17.11 (define @t53 () (forall @t9 @t52)) % 16.87/17.11 (define @t54 () (tptp.leq @t1 @t2)) % 16.87/17.11 (define @t55 () (tptp.leq @t2 @t1)) % 16.87/17.11 (define @t56 () (tptp.geq @t2 @t1)) % 16.87/17.11 (define @t57 () (tptp.lt @t1 @t2)) % 16.87/17.11 (define @t58 () (tptp.lt @t2 @t1)) % 16.87/17.11 (define @t59 () (tptp.lt @t2 @t12)) % 16.87/17.11 (define @t60 () (tptp.gt @t2 @t1)) % 16.87/17.11 (define @t61 () (tptp.memberP @t12 @t2)) % 16.87/17.11 (define @t62 () (tptp.app @t12 @t2)) % 16.87/17.11 (define @t63 () (tptp.cons @t2 tptp.nil)) % 16.87/17.11 (define @t64 () (tptp.hd @t1)) % 16.87/17.11 (define @t65 () (= tptp.nil @t1)) % 16.87/17.11 (define @t66 () (not @t65)) % 16.87/17.11 (define @t67 () (tptp.cons @t2 @t1)) % 16.87/17.11 (define @t68 () (= @t12 @t2)) % 16.87/17.11 (define @t69 () (tptp.app @t2 tptp.nil)) % 16.87/17.11 (define @t70 () (=> @t17 (= @t69 @t2))) % 16.87/17.11 (define @t71 () (forall @t9 @t70)) % 16.87/17.11 (define @t72 () (tptp.neq @t10 tptp.nil)) % 16.87/17.11 (define @t73 () (@var "X2" $$unsorted)) % 16.87/17.11 (define @t74 () (tptp.cons @t73 tptp.nil)) % 16.87/17.11 (define @t75 () (@var "X3" $$unsorted)) % 16.87/17.11 (define @t76 () (tptp.app @t75 @t74)) % 16.87/17.11 (define @t77 () (not (= @t76 @t12))) % 16.87/17.11 (define @t78 () (tptp.app @t74 @t75)) % 16.87/17.11 (define @t79 () (not (= @t78 @t10))) % 16.87/17.11 (define @t80 () (not (tptp.ssList @t75))) % 16.87/17.11 (define @t81 () (or @t80 @t79 @t77)) % 16.87/17.11 (define @t82 () (@list @t75)) % 16.87/17.11 (define @t83 () (forall @t82 @t81)) % 16.87/17.11 (define @t84 () (tptp.ssItem @t73)) % 16.87/17.11 (define @t85 () (=> @t84 @t83)) % 16.87/17.11 (define @t86 () (@list @t73)) % 16.87/17.11 (define @t87 () (forall @t86 @t85)) % 16.87/17.11 (define @t88 () (and @t87 @t72)) % 16.87/17.11 (define @t89 () (not (= tptp.nil @t12))) % 16.87/17.11 (define @t90 () (and @t89 (= tptp.nil @t10))) % 16.87/17.11 (define @t91 () (tptp.cons @t28 tptp.nil)) % 16.87/17.11 (define @t92 () (@var "X1" $$unsorted)) % 16.87/17.11 (define @t93 () (tptp.app (tptp.app @t92 @t91) @t27)) % 16.87/17.11 (define @t94 () (tptp.app @t27 @t91)) % 16.87/17.11 (define @t95 () (tptp.app @t94 @t92)) % 16.87/17.11 (define @t96 () (tptp.ssList @t92)) % 16.87/17.11 (define @t97 () (and @t96 (= @t95 @t1) (= @t93 @t2))) % 16.87/17.11 (define @t98 () (@list @t92)) % 16.87/17.11 (define @t99 () (exists @t98 @t97)) % 16.87/17.11 (define @t100 () (and @t30 @t99)) % 16.87/17.11 (define @t101 () (exists @t31 @t100)) % 16.87/17.11 (define @t102 () (tptp.ssItem @t28)) % 16.87/17.11 (define @t103 () (and @t102 @t101)) % 16.87/17.11 (define @t104 () (exists @t33 @t103)) % 16.87/17.11 (define @t105 () (tptp.neq @t1 tptp.nil)) % 16.87/17.11 (define @t106 () (not @t105)) % 16.87/17.11 (define @t107 () (not (= @t2 @t12))) % 16.87/17.11 (define @t108 () (not (= @t1 @t10))) % 16.87/17.11 (define @t109 () (not @t13)) % 16.87/17.11 (define @t110 () (or @t109 @t108 @t107 @t106 @t104 @t90 @t88)) % 16.87/17.11 (define @t111 () (forall @t14 @t110)) % 16.87/17.11 (define @t112 () (=> @t15 @t111)) % 16.87/17.11 (define @t113 () (forall @t16 @t112)) % 16.87/17.11 (define @t114 () (=> @t21 @t113)) % 16.87/17.11 (define @t115 () (forall @t7 @t114)) % 16.87/17.11 (define @t116 () (=> @t17 @t115)) % 16.87/17.11 (define @t117 () (forall @t9 @t116)) % 16.87/17.11 (define @t118 () (not @t117)) % 16.87/17.11 (define @t119 () (@var "BOUND_VARIABLE_11216" $$unsorted)) % 16.87/17.11 (define @t120 () (tptp.neq @t119 tptp.nil)) % 16.87/17.11 (define @t121 () (@var "BOUND_VARIABLE_11218" $$unsorted)) % 16.87/17.11 (define @t122 () (tptp.cons @t121 tptp.nil)) % 16.87/17.11 (define @t123 () (@var "BOUND_VARIABLE_11220" $$unsorted)) % 16.87/17.11 (define @t124 () (and (or (not (tptp.ssItem @t121)) (not (tptp.ssList @t123)) (not (= @t119 (tptp.app @t122 @t123))) (not (= @t2 (tptp.app @t123 @t122)))) @t120)) % 16.87/17.11 (define @t125 () (not (= @t2 tptp.nil))) % 16.87/17.11 (define @t126 () (and @t125 (= @t119 tptp.nil))) % 16.87/17.11 (define @t127 () (@var "BOUND_VARIABLE_10998" $$unsorted)) % 16.87/17.11 (define @t128 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 16.87/17.11 (define @t129 () (tptp.app (tptp.app @t128 @t91) @t127)) % 16.87/17.11 (define @t130 () (not (= @t2 @t129))) % 16.87/17.11 (define @t131 () (tptp.app (tptp.app @t127 @t91) @t128)) % 16.87/17.11 (define @t132 () (not (= @t119 @t131))) % 16.87/17.11 (define @t133 () (not (tptp.ssList @t128))) % 16.87/17.11 (define @t134 () (not (tptp.ssList @t127))) % 16.87/17.11 (define @t135 () (not @t102)) % 16.87/17.11 (define @t136 () (or @t135 @t134 @t133 @t132 @t130)) % 16.87/17.11 (define @t137 () (@list @t28 @t127 @t128)) % 16.87/17.11 (define @t138 () (forall @t137 @t136)) % 16.87/17.11 (define @t139 () (not @t138)) % 16.87/17.11 (define @t140 () (not @t120)) % 16.87/17.11 (define @t141 () (not (tptp.ssList @t119))) % 16.87/17.11 (define @t142 () (not @t17)) % 16.87/17.11 (define @t143 () (or @t142 @t141 @t140 @t139 @t126 @t124)) % 16.87/17.11 (define @t144 () (or @t141 @t140 @t139 @t126 @t124)) % 16.87/17.11 (define @t145 () (or @t142 @t144)) % 16.87/17.11 (define @t146 () (@list @t2 @t119 @t121 @t123)) % 16.87/17.11 (define @t147 () (forall @t146 @t145)) % 16.87/17.11 (define @t148 () (@list @t119 @t121 @t123)) % 16.87/17.11 (define @t149 () (forall @t148 @t145)) % 16.87/17.11 (define @t150 () (forall @t148 @t144)) % 16.87/17.11 (define @t151 () (@var "BOUND_VARIABLE_11194" $$unsorted)) % 16.87/17.11 (define @t152 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 16.87/17.11 (define @t153 () (or @t142 @t150)) % 16.87/17.11 (define @t154 () (tptp.cons @t152 tptp.nil)) % 16.87/17.11 (define @t155 () (or (not (tptp.ssItem @t152)) (not (tptp.ssList @t151)) (not (= @t1 (tptp.app @t154 @t151))) (not (= @t2 (tptp.app @t151 @t154))))) % 16.87/17.11 (define @t156 () (and @t155 @t105)) % 16.87/17.11 (define @t157 () (= @t1 tptp.nil)) % 16.87/17.11 (define @t158 () (and @t125 @t157)) % 16.87/17.11 (define @t159 () (not (= @t1 @t131))) % 16.87/17.11 (define @t160 () (or @t135 @t134 @t133 @t159 @t130)) % 16.87/17.11 (define @t161 () (not (forall @t137 @t160))) % 16.87/17.11 (define @t162 () (not @t21)) % 16.87/17.11 (define @t163 () (or @t162 @t106 @t161 @t158 @t156)) % 16.87/17.11 (define @t164 () (forall (@list @t1 @t152 @t151) @t163)) % 16.87/17.11 (define @t165 () (or @t142 @t164)) % 16.87/17.11 (define @t166 () (@list @t152 @t151)) % 16.87/17.11 (define @t167 () (forall @t166 @t163)) % 16.87/17.11 (define @t168 () (forall @t166 @t105)) % 16.87/17.11 (define @t169 () (forall @t166 @t155)) % 16.87/17.11 (define @t170 () (@var "BOUND_VARIABLE_11161" $$unsorted)) % 16.87/17.11 (define @t171 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 16.87/17.11 (define @t172 () (@list @t171 @t170)) % 16.87/17.11 (define @t173 () (and @t169 @t168)) % 16.87/17.11 (define @t174 () (forall @t166 @t156)) % 16.87/17.11 (define @t175 () (or @t162 @t106 @t161 @t158 @t174)) % 16.87/17.11 (define @t176 () (tptp.cons @t171 tptp.nil)) % 16.87/17.11 (define @t177 () (and (forall (@list @t171 @t170) (or (not (tptp.ssItem @t171)) (not (tptp.ssList @t170)) (not (= @t1 (tptp.app @t176 @t170))) (not (= @t2 (tptp.app @t170 @t176))))) @t105)) % 16.87/17.11 (define @t178 () (or @t162 @t106 @t161 @t158 @t177)) % 16.87/17.11 (define @t179 () (forall @t7 @t178)) % 16.87/17.11 (define @t180 () (or @t142 @t179)) % 16.87/17.11 (define @t181 () (or @t142 @t178)) % 16.87/17.11 (define @t182 () (or @t162 @t106 @t161 @t142 @t158 @t177)) % 16.87/17.11 (define @t183 () (or @t106 @t161 @t162 @t142 @t158 @t177)) % 16.87/17.11 (define @t184 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 16.87/17.11 (define @t185 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 16.87/17.11 (define @t186 () (@list @t185 @t184)) % 16.87/17.11 (define @t187 () (forall @t186 @t105)) % 16.87/17.11 (define @t188 () (tptp.cons @t185 tptp.nil)) % 16.87/17.11 (define @t189 () (tptp.app @t184 @t188)) % 16.87/17.11 (define @t190 () (not (= @t1 (tptp.app @t188 @t184)))) % 16.87/17.11 (define @t191 () (not (tptp.ssList @t184))) % 16.87/17.11 (define @t192 () (not (tptp.ssItem @t185))) % 16.87/17.11 (define @t193 () (or @t192 @t191 @t190 (not (= @t2 @t189)))) % 16.87/17.11 (define @t194 () (forall @t186 @t193)) % 16.87/17.11 (define @t195 () (@list @t185 @t184)) % 16.87/17.11 (define @t196 () (and @t194 @t187)) % 16.87/17.11 (define @t197 () (and @t193 @t105)) % 16.87/17.11 (define @t198 () (forall @t186 @t197)) % 16.87/17.11 (define @t199 () (or @t142 @t158 @t198)) % 16.87/17.11 (define @t200 () (or @t142 @t158 @t197)) % 16.87/17.11 (define @t201 () (not (= @t2 @t2))) % 16.87/17.11 (define @t202 () (or @t142 @t201 @t158 @t197)) % 16.87/17.11 (define @t203 () (or @t192 @t191 @t190 (not (= @t12 @t189)))) % 16.87/17.11 (define @t204 () (and @t203 @t105)) % 16.87/17.11 (define @t205 () (not (= @t12 tptp.nil))) % 16.87/17.11 (define @t206 () (and @t205 @t157)) % 16.87/17.11 (define @t207 () (not @t15)) % 16.87/17.11 (define @t208 () (or @t107 @t207 @t107 @t206 @t204)) % 16.87/17.11 (define @t209 () (or @t207 @t107 @t206 @t204)) % 16.87/17.11 (define @t210 () (forall @t16 @t209)) % 16.87/17.11 (define @t211 () (forall @t186 @t210)) % 16.87/17.11 (define @t212 () (forall (@list @t185 @t184 @t12) @t209)) % 16.87/17.11 (define @t213 () (forall (@list @t12 @t185 @t184) @t209)) % 16.87/17.11 (define @t214 () (forall @t186 @t209)) % 16.87/17.11 (define @t215 () (forall @t186 @t203)) % 16.87/17.11 (define @t216 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 16.87/17.11 (define @t217 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 16.87/17.11 (define @t218 () (@list @t217 @t216)) % 16.87/17.11 (define @t219 () (and @t215 @t187)) % 16.87/17.11 (define @t220 () (forall @t186 @t204)) % 16.87/17.11 (define @t221 () (or @t207 @t107 @t206 @t220)) % 16.87/17.11 (define @t222 () (tptp.cons @t217 tptp.nil)) % 16.87/17.11 (define @t223 () (and (forall (@list @t217 @t216) (or (not (tptp.ssItem @t217)) (not (tptp.ssList @t216)) (not (= @t1 (tptp.app @t222 @t216))) (not (= @t12 (tptp.app @t216 @t222))))) @t105)) % 16.87/17.11 (define @t224 () (or @t207 @t107 @t206 @t223)) % 16.87/17.11 (define @t225 () (forall @t16 @t224)) % 16.87/17.11 (define @t226 () (or @t106 @t161 @t162 @t225)) % 16.87/17.11 (define @t227 () (or @t106 @t161 @t162 @t224)) % 16.87/17.11 (define @t228 () (or @t207 @t107 @t106 @t161 @t162 @t206 @t223)) % 16.87/17.11 (define @t229 () (or @t107 @t106 @t161 @t162 @t206 @t223)) % 16.87/17.11 (define @t230 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 16.87/17.11 (define @t231 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 16.87/17.11 (define @t232 () (@list @t231 @t230)) % 16.87/17.11 (define @t233 () (forall @t232 @t105)) % 16.87/17.11 (define @t234 () (tptp.cons @t231 tptp.nil)) % 16.87/17.11 (define @t235 () (not (= @t12 (tptp.app @t230 @t234)))) % 16.87/17.11 (define @t236 () (tptp.app @t234 @t230)) % 16.87/17.11 (define @t237 () (not (tptp.ssList @t230))) % 16.87/17.11 (define @t238 () (not (tptp.ssItem @t231))) % 16.87/17.11 (define @t239 () (or @t238 @t237 (not (= @t1 @t236)) @t235)) % 16.87/17.11 (define @t240 () (forall @t232 @t239)) % 16.87/17.11 (define @t241 () (@list @t231 @t230)) % 16.87/17.11 (define @t242 () (and @t240 @t233)) % 16.87/17.11 (define @t243 () (and @t239 @t105)) % 16.87/17.11 (define @t244 () (forall @t232 @t243)) % 16.87/17.11 (define @t245 () (or @t162 @t206 @t244)) % 16.87/17.11 (define @t246 () (or @t162 @t206 @t243)) % 16.87/17.11 (define @t247 () (not (= @t1 @t1))) % 16.87/17.11 (define @t248 () (or @t162 @t247 @t206 @t243)) % 16.87/17.11 (define @t249 () (or @t238 @t237 (not (= @t10 @t236)) @t235)) % 16.87/17.11 (define @t250 () (and @t249 @t72)) % 16.87/17.11 (define @t251 () (and @t205 (= @t10 tptp.nil))) % 16.87/17.11 (define @t252 () (or @t108 @t109 @t108 @t251 @t250)) % 16.87/17.11 (define @t253 () (or @t109 @t108 @t251 @t250)) % 16.87/17.11 (define @t254 () (forall @t14 @t253)) % 16.87/17.11 (define @t255 () (forall @t232 @t254)) % 16.87/17.11 (define @t256 () (forall (@list @t231 @t230 @t10) @t253)) % 16.87/17.11 (define @t257 () (forall (@list @t10 @t231 @t230) @t253)) % 16.87/17.11 (define @t258 () (forall @t232 @t253)) % 16.87/17.11 (define @t259 () (forall @t232 @t72)) % 16.87/17.11 (define @t260 () (forall @t232 @t249)) % 16.87/17.11 (define @t261 () (@var "BOUND_VARIABLE_11036" $$unsorted)) % 16.87/17.11 (define @t262 () (and @t260 @t259)) % 16.87/17.11 (define @t263 () (forall @t232 @t250)) % 16.87/17.11 (define @t264 () (or @t109 @t108 @t251 @t263)) % 16.87/17.11 (define @t265 () (not (= @t12 (tptp.app @t261 @t74)))) % 16.87/17.11 (define @t266 () (not (= @t10 (tptp.app @t74 @t261)))) % 16.87/17.11 (define @t267 () (not (tptp.ssList @t261))) % 16.87/17.11 (define @t268 () (not @t84)) % 16.87/17.11 (define @t269 () (or @t268 @t267 @t266 @t265)) % 16.87/17.11 (define @t270 () (@list @t73 @t261)) % 16.87/17.11 (define @t271 () (and (forall @t270 @t269) @t72)) % 16.87/17.11 (define @t272 () (or @t109 @t108 @t251 @t271)) % 16.87/17.11 (define @t273 () (forall @t14 @t272)) % 16.87/17.11 (define @t274 () (or @t107 @t106 @t161 @t273)) % 16.87/17.11 (define @t275 () (or @t107 @t106 @t161 @t272)) % 16.87/17.11 (define @t276 () (or @t109 @t108 @t107 @t106 @t161 @t251 @t271)) % 16.87/17.11 (define @t277 () (or @t267 @t266 @t265)) % 16.87/17.11 (define @t278 () (or @t268 @t277)) % 16.87/17.11 (define @t279 () (forall @t270 @t278)) % 16.87/17.11 (define @t280 () (@list @t261)) % 16.87/17.11 (define @t281 () (forall @t280 @t278)) % 16.87/17.11 (define @t282 () (forall @t280 @t277)) % 16.87/17.11 (define @t283 () (or @t268 @t282)) % 16.87/17.11 (define @t284 () (forall @t82 (or @t80 (not (= @t10 @t78)) (not (= @t12 @t76))))) % 16.87/17.11 (define @t285 () (or @t134 @t133 @t159 @t130)) % 16.87/17.11 (define @t286 () (or @t135 @t285)) % 16.87/17.11 (define @t287 () (forall @t137 @t286)) % 16.87/17.11 (define @t288 () (@list @t127 @t128)) % 16.87/17.11 (define @t289 () (forall @t288 @t286)) % 16.87/17.11 (define @t290 () (forall @t288 @t285)) % 16.87/17.11 (define @t291 () (@var "BOUND_VARIABLE_10972" $$unsorted)) % 16.87/17.11 (define @t292 () (or @t135 @t290)) % 16.87/17.11 (define @t293 () (not (= @t2 (tptp.app (tptp.app @t291 @t91) @t27)))) % 16.87/17.11 (define @t294 () (not (= @t1 (tptp.app @t94 @t291)))) % 16.87/17.11 (define @t295 () (not (tptp.ssList @t291))) % 16.87/17.11 (define @t296 () (not @t30)) % 16.87/17.11 (define @t297 () (or @t296 @t295 @t294 @t293)) % 16.87/17.11 (define @t298 () (@list @t27 @t291)) % 16.87/17.11 (define @t299 () (forall @t298 @t297)) % 16.87/17.11 (define @t300 () (not @t299)) % 16.87/17.11 (define @t301 () (and @t102 @t300)) % 16.87/17.11 (define @t302 () (forall @t33 (not @t301))) % 16.87/17.11 (define @t303 () (not @t302)) % 16.87/17.11 (define @t304 () (or @t295 @t294 @t293)) % 16.87/17.11 (define @t305 () (or @t296 @t304)) % 16.87/17.11 (define @t306 () (forall @t298 @t305)) % 16.87/17.11 (define @t307 () (@list @t291)) % 16.87/17.11 (define @t308 () (forall @t307 @t305)) % 16.87/17.11 (define @t309 () (forall @t307 @t304)) % 16.87/17.11 (define @t310 () (or @t296 @t309)) % 16.87/17.11 (define @t311 () (= @t2 @t93)) % 16.87/17.11 (define @t312 () (not @t311)) % 16.87/17.11 (define @t313 () (= @t1 @t95)) % 16.87/17.11 (define @t314 () (not @t313)) % 16.87/17.11 (define @t315 () (not @t96)) % 16.87/17.11 (define @t316 () (or @t315 @t314 @t312)) % 16.87/17.11 (define @t317 () (forall @t98 @t316)) % 16.87/17.11 (define @t318 () (not @t317)) % 16.87/17.11 (define @t319 () (and @t30 @t318)) % 16.87/17.11 (define @t320 () (forall @t31 (not @t319))) % 16.87/17.11 (define @t321 () (not @t320)) % 16.87/17.11 (define @t322 () (and @t96 @t313 @t311)) % 16.87/17.11 (define @t323 () (forall @t98 (not @t322))) % 16.87/17.11 (define @t324 () (not @t323)) % 16.87/17.11 (define @t325 () (forall @t146 (or @t142 @t141 @t140 (not (forall @t137 (or @t135 @t134 @t133 (not (= @t131 @t119)) @t130))) (and @t125 (= tptp.nil @t119)) @t124))) % 16.87/17.11 (define @t326 () (@quantifiers_skolemize @t325 1)) % 16.87/17.11 (define @t327 () (tptp.neq @t326 tptp.nil)) % 16.87/17.11 (define @t328 () (@quantifiers_skolemize @t325 2)) % 16.87/17.11 (define @t329 () (tptp.cons @t328 tptp.nil)) % 16.87/17.11 (define @t330 () (@quantifiers_skolemize @t325 3)) % 16.87/17.11 (define @t331 () (tptp.app @t330 @t329)) % 16.87/17.11 (define @t332 () (@quantifiers_skolemize @t325 0)) % 16.87/17.11 (define @t333 () (= @t332 @t331)) % 16.87/17.11 (define @t334 () (not @t333)) % 16.87/17.11 (define @t335 () (tptp.app @t329 @t330)) % 16.87/17.11 (define @t336 () (= @t326 @t335)) % 16.87/17.11 (define @t337 () (not @t336)) % 16.87/17.11 (define @t338 () (tptp.ssList @t330)) % 16.87/17.11 (define @t339 () (not @t338)) % 16.87/17.11 (define @t340 () (tptp.ssItem @t328)) % 16.87/17.11 (define @t341 () (not @t340)) % 16.87/17.11 (define @t342 () (or @t341 @t339 @t337 @t334)) % 16.87/17.11 (define @t343 () (and @t342 @t327)) % 16.87/17.11 (define @t344 () (= tptp.nil @t326)) % 16.87/17.11 (define @t345 () (not (= @t131 @t326))) % 16.87/17.11 (define @t346 () (forall @t137 (or @t135 @t134 @t133 @t345 (not (= @t129 @t332))))) % 16.87/17.11 (define @t347 () (not @t346)) % 16.87/17.11 (define @t348 () (not @t327)) % 16.87/17.11 (define @t349 () (not (tptp.ssList @t326))) % 16.87/17.11 (define @t350 () (tptp.ssList @t332)) % 16.87/17.11 (define @t351 () (not @t350)) % 16.87/17.11 (define @t352 () (or @t351 @t349 @t348 @t347 (and (not (= tptp.nil @t332)) @t344) @t343)) % 16.87/17.11 (define @t353 () (not @t352)) % 16.87/17.11 (define @t354 () (not @t325)) % 16.87/17.11 (define @t355 () (not (= @t332 tptp.nil))) % 16.87/17.11 (define @t356 () (and @t355 @t344)) % 16.87/17.11 (define @t357 () (not (= @t332 @t129))) % 16.87/17.11 (define @t358 () (or @t135 @t134 @t133 @t345 @t357)) % 16.87/17.11 (define @t359 () (forall @t137 @t358)) % 16.87/17.11 (define @t360 () (not @t359)) % 16.87/17.11 (define @t361 () (or @t351 @t349 @t348 @t360 @t356 @t343)) % 16.87/17.11 (define @t362 () (not @t361)) % 16.87/17.11 (define @t363 () (@list true)) % 16.87/17.11 (define @t364 () (@list @t352)) % 16.87/17.11 (define @t365 () (not @t342)) % 16.87/17.11 (define @t366 () (@list @t342)) % 16.87/17.11 (define @t367 () (tptp.app @t331 tptp.nil)) % 16.87/17.11 (define @t368 () (not (= @t367 @t332))) % 16.87/17.11 (define @t369 () (tptp.app tptp.nil @t329)) % 16.87/17.12 (define @t370 () (tptp.app @t369 @t330)) % 16.87/17.12 (define @t371 () (not (= @t370 @t326))) % 16.87/17.12 (define @t372 () (not @t42)) % 16.87/17.12 (define @t373 () (or @t341 @t372 @t339 @t371 @t368)) % 16.87/17.12 (define @t374 () (= @t332 @t367)) % 16.87/17.12 (define @t375 () (not @t374)) % 16.87/17.12 (define @t376 () (= @t326 @t370)) % 16.87/17.12 (define @t377 () (not @t376)) % 16.87/17.12 (define @t378 () (or @t341 @t372 @t339 @t377 @t375)) % 16.87/17.12 (define @t379 () (tptp.app @t332 tptp.nil)) % 16.87/17.12 (define @t380 () (= @t2 @t69)) % 16.87/17.12 (define @t381 () (= @t332 @t379)) % 16.87/17.12 (define @t382 () (or @t351 @t381)) % 16.87/17.12 (define @t383 () (@list false false)) % 16.87/17.12 (define @t384 () (= @t2 @t51)) % 16.87/17.12 (define @t385 () (@var "BOUND_VARIABLE_9150" $$unsorted)) % 16.87/17.12 (define @t386 () (tptp.ssList (tptp.cons @t385 @t2))) % 16.87/17.12 (define @t387 () (not (tptp.ssItem @t385))) % 16.87/17.12 (define @t388 () (or @t387 @t386)) % 16.87/17.12 (define @t389 () (or @t142 @t388)) % 16.87/17.12 (define @t390 () (forall (@list @t2 @t385) @t389)) % 16.87/17.12 (define @t391 () (@list @t385)) % 16.87/17.12 (define @t392 () (forall @t391 @t389)) % 16.87/17.12 (define @t393 () (forall @t391 @t388)) % 16.87/17.12 (define @t394 () (or @t142 @t393)) % 16.87/17.12 (define @t395 () (forall @t7 (or (not @t6) @t38))) % 16.87/17.12 (define @t396 () (tptp.ssList @t329)) % 16.87/17.12 (define @t397 () (or @t372 @t341 @t396)) % 16.87/17.12 (define @t398 () (= @t329 @t369)) % 16.87/17.12 (define @t399 () (not @t396)) % 16.87/17.12 (define @t400 () (or @t399 @t398)) % 16.87/17.12 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 16.87/17.12 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 16.87/17.12 (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))))))))))) % 16.87/17.12 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 16.87/17.12 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 16.87/17.12 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 16.87/17.12 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 16.87/17.12 (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))))))))))))))))) % 16.87/17.12 (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)))))))))))))))) % 16.87/17.12 (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))))))))))))))))) % 16.87/17.12 (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))))))))))))))) % 16.87/17.12 (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))))))))))))))) % 16.87/17.12 (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)))))))))))))))) % 16.87/17.12 (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))))))))))))) % 16.87/17.12 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 16.87/17.12 (assume @p16 @t41) % 16.87/17.12 (assume @p17 @t42) % 16.87/17.12 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 16.87/17.12 (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) @t43))))))))))) % 16.87/17.12 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 16.87/17.12 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 16.87/17.12 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 16.87/17.12 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 16.87/17.12 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 16.87/17.12 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 16.87/17.12 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 16.87/17.12 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 16.87/17.12 (assume @p28 @t53) % 16.87/17.12 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 @t54) @t3)))))) % 16.87/17.12 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t26) (tptp.leq @t2 @t12))))))))) % 16.87/17.12 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 16.87/17.12 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t54)))))) % 16.87/17.12 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not @t57))))))) % 16.87/17.12 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t59)))))))) % 16.87/17.12 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t57)))))) % 16.87/17.12 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t61))))))))) % 16.87/17.12 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t61))))))))) % 16.87/17.12 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 16.87/17.12 (assume @p39 (not (tptp.singletonP tptp.nil))) % 16.87/17.12 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 16.87/17.12 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 16.87/17.12 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 16.87/17.12 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 16.87/17.12 (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)))))))))))) % 16.87/17.12 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 16.87/17.12 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 16.87/17.12 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 16.87/17.12 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 16.87/17.12 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 16.87/17.12 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t62 @t1))))))))) % 16.87/17.12 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 16.87/17.12 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 16.87/17.12 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 16.87/17.12 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 16.87/17.12 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 16.87/17.12 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t62 @t10) @t1))))))))))) % 16.87/17.12 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 16.87/17.12 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 16.87/17.12 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t63)))) % 16.87/17.12 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 16.87/17.12 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t63)))) % 16.87/17.12 (assume @p62 (tptp.totalorderP tptp.nil)) % 16.87/17.12 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t63)))) % 16.87/17.12 (assume @p64 (tptp.strictorderP tptp.nil)) % 16.87/17.12 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t63)))) % 16.87/17.12 (assume @p66 (tptp.totalorderedP tptp.nil)) % 16.87/17.12 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t67) (or @t65 (and @t66 (tptp.totalorderedP @t1) (tptp.leq @t2 @t64))))))))) % 16.87/17.12 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t63)))) % 16.87/17.12 (assume @p69 (tptp.strictorderedP tptp.nil)) % 16.87/17.12 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t67) (or @t65 (and @t66 (tptp.strictorderedP @t1) (tptp.lt @t2 @t64))))))))) % 16.87/17.12 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t63)))) % 16.87/17.12 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 16.87/17.12 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t63)))) % 16.87/17.12 (assume @p74 (tptp.equalelemsP tptp.nil)) % 16.87/17.12 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 16.87/17.12 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 16.87/17.12 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t66 @t47 (= @t64 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 16.87/17.12 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 16.87/17.12 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t68)))))))) % 16.87/17.12 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t68)))))))) % 16.87/17.12 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 16.87/17.12 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 16.87/17.12 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t65 @t45))))))) % 16.87/17.12 (assume @p84 @t71) % 16.87/17.12 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 16.87/17.12 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 16.87/17.12 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 (tptp.geq @t1 @t2)) @t3)))))) % 16.87/17.12 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 16.87/17.12 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 16.87/17.12 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 16.87/17.12 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t59)))))))) % 16.87/17.12 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (or @t3 @t58))))))) % 16.87/17.12 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 (and @t4 @t55))))))) % 16.87/17.12 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not (tptp.gt @t1 @t2)))))))) % 16.87/17.12 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 16.87/17.12 (assume @p96 @t118) % 16.87/17.12 (assume @p97 true) % 16.87/17.12 (step @p98 :rule refl :args (@t124)) % 16.87/17.12 (step @p99 :rule eq-symm :args (@t119 tptp.nil)) % 16.87/17.12 (step @p100 :rule refl :args (@t125)) % 16.87/17.12 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t126)) % 16.87/17.12 (step @p102 :rule refl :args (@t130)) % 16.87/17.12 (step @p103 :rule eq-symm :args (@t119 @t131)) % 16.87/17.12 (step @p104 :rule cong :premises (@p103) :args (@t132)) % 16.87/17.12 (step @p105 :rule refl :args (@t133)) % 16.87/17.12 (step @p106 :rule refl :args (@t134)) % 16.87/17.12 (step @p107 :rule refl :args (@t135)) % 16.87/17.12 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p102) :args (@t136)) % 16.87/17.12 (step @p109 :rule cong :premises (@p108) :args (@t138)) % 16.87/17.12 (step @p110 :rule cong :premises (@p109) :args (@t139)) % 16.87/17.12 (step @p111 :rule refl :args (@t140)) % 16.87/17.12 (step @p112 :rule refl :args (@t141)) % 16.87/17.12 (step @p113 :rule refl :args (@t142)) % 16.87/17.12 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p101 @p98) :args (@t143)) % 16.87/17.12 (step @p115 :rule aci_norm :args ((= @t145 @t143))) % 16.87/17.12 (step @p116 :rule trans :premises (@p115 @p114)) % 16.87/17.12 (step @p117 :rule cong :premises (@p116) :args (@t147)) % 16.87/17.12 (step @p118 :rule quant-merge-prenex :args ((= (forall @t9 @t149) @t147))) % 16.87/17.12 (step @p119 :rule alpha_equiv :args (@t150 (@list @t119 @t121 @t123) (@list @t1 @t152 @t151))) % 16.87/17.12 (step @p120 :rule refl :args (@t142)) % 16.87/17.12 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t153)) % 16.87/17.12 (step @p122 :rule quant-miniscope-or :args ((= @t149 @t153))) % 16.87/17.12 (step @p123 :rule trans :premises (@p122 @p121)) % 16.87/17.12 (step @p124 :rule symm :premises (@p123)) % 16.87/17.12 (step @p125 :rule cong :premises (@p124) :args ((forall @t9 @t165))) % 16.87/17.12 (step @p126 :rule trans :premises (@p125 @p118)) % 16.87/17.12 (step @p127 :rule trans :premises (@p126 @p117)) % 16.87/17.12 (step @p128 :rule aci_norm :args ((= (or @t142 @t165) @t165))) % 16.87/17.12 (step @p129 :rule bool-impl-elim :args (@t17 @t165)) % 16.87/17.12 (step @p130 :rule trans :premises (@p129 @p128)) % 16.87/17.12 (step @p131 :rule cong :premises (@p130) :args ((forall @t9 (=> @t17 @t165)))) % 16.87/17.12 (step @p132 :rule trans :premises (@p131 @p127)) % 16.87/17.12 (step @p133 :rule quant-merge-prenex :args ((= (forall @t7 @t167) @t164))) % 16.87/17.12 (step @p134 :rule quant-unused-vars :args ((= @t168 @t105))) % 16.87/17.12 (step @p135 :rule alpha_equiv :args (@t169 (@list @t152 @t151) @t172)) % 16.87/17.12 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t173)) % 16.87/17.12 (step @p137 :rule quant-miniscope-and :args ((= @t174 @t173))) % 16.87/17.12 (step @p138 :rule trans :premises (@p137 @p136)) % 16.87/17.12 (step @p139 :rule refl :args (@t158)) % 16.87/17.12 (step @p140 :rule refl :args (@t161)) % 16.87/17.12 (step @p141 :rule refl :args (@t106)) % 16.87/17.12 (step @p142 :rule refl :args (@t162)) % 16.87/17.12 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p138) :args (@t175)) % 16.87/17.12 (step @p144 :rule quant-miniscope-or :args ((= @t167 @t175))) % 16.87/17.12 (step @p145 :rule trans :premises (@p144 @p143)) % 16.87/17.12 (step @p146 :rule symm :premises (@p145)) % 16.87/17.12 (step @p147 :rule cong :premises (@p146) :args (@t179)) % 16.87/17.12 (step @p148 :rule trans :premises (@p147 @p133)) % 16.87/17.12 (step @p149 :rule nary_cong :premises (@p113 @p148) :args (@t180)) % 16.87/17.12 (step @p150 :rule quant-miniscope-or :args ((= (forall @t7 @t181) @t180))) % 16.87/17.12 (step @p151 :rule aci_norm :args ((= @t182 @t181))) % 16.87/17.12 (step @p152 :rule cong :premises (@p151) :args ((forall @t7 @t182))) % 16.87/17.12 (step @p153 :rule trans :premises (@p152 @p150)) % 16.87/17.12 (step @p154 :rule trans :premises (@p153 @p149)) % 16.87/17.12 (step @p155 :rule aci_norm :args ((= (or @t162 @t183) @t182))) % 16.87/17.12 (step @p156 :rule bool-impl-elim :args (@t21 @t183)) % 16.87/17.12 (step @p157 :rule trans :premises (@p156 @p155)) % 16.87/17.12 (step @p158 :rule cong :premises (@p157) :args ((forall @t7 (=> @t21 @t183)))) % 16.87/17.12 (step @p159 :rule trans :premises (@p158 @p154)) % 16.87/17.12 (step @p160 :rule aci_norm :args ((= (or @t106 @t161 @t162 (or @t142 @t158 @t177)) @t183))) % 16.87/17.12 (step @p161 :rule quant-unused-vars :args ((= @t187 @t105))) % 16.87/17.12 (step @p162 :rule alpha_equiv :args (@t194 @t195 @t172)) % 16.87/17.12 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t196)) % 16.87/17.12 (step @p164 :rule quant-miniscope-and :args ((= @t198 @t196))) % 16.87/17.12 (step @p165 :rule trans :premises (@p164 @p163)) % 16.87/17.12 (step @p166 :rule refl :args (@t158)) % 16.87/17.12 (step @p167 :rule nary_cong :premises (@p113 @p166 @p165) :args (@t199)) % 16.87/17.12 (step @p168 :rule quant-miniscope-or :args ((= (forall @t186 @t200) @t199))) % 16.87/17.12 (step @p169 :rule trans :premises (@p168 @p167)) % 16.87/17.12 (step @p170 :rule aci_norm :args ((= (or @t142 false @t158 @t197) @t200))) % 16.87/17.12 (step @p171 :rule refl :args (@t197)) % 16.87/17.12 (step @p172 :rule evaluate :args ((not true))) % 16.87/17.12 (step @p173 :rule eq-refl :args (@t2)) % 16.87/17.12 (step @p174 :rule cong :premises (@p173) :args (@t201)) % 16.87/17.12 (step @p175 :rule trans :premises (@p174 @p172)) % 16.87/17.12 (step @p176 :rule nary_cong :premises (@p113 @p175 @p166 @p171) :args (@t202)) % 16.87/17.12 (step @p177 :rule trans :premises (@p176 @p170)) % 16.87/17.12 (step @p178 :rule cong :premises (@p177) :args ((forall @t186 @t202))) % 16.87/17.12 (step @p179 :rule trans :premises (@p178 @p169)) % 16.87/17.12 (step @p180 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t68) @t207 @t107 @t206 @t204)) @t202))) % 16.87/17.12 (step @p181 :rule refl :args (@t204)) % 16.87/17.12 (step @p182 :rule refl :args (@t206)) % 16.87/17.12 (step @p183 :rule refl :args (@t107)) % 16.87/17.12 (step @p184 :rule refl :args (@t207)) % 16.87/17.12 (step @p185 :rule eq-symm :args (@t2 @t12)) % 16.87/17.12 (step @p186 :rule cong :premises (@p185) :args (@t107)) % 16.87/17.12 (step @p187 :rule nary_cong :premises (@p186 @p184 @p183 @p182 @p181) :args (@t208)) % 16.87/17.12 (step @p188 :rule aci_norm :args ((= @t209 @t208))) % 16.87/17.12 (step @p189 :rule trans :premises (@p188 @p187)) % 16.87/17.12 (step @p190 :rule cong :premises (@p189) :args (@t210)) % 16.87/17.12 (step @p191 :rule trans :premises (@p190 @p180)) % 16.87/17.12 (step @p192 :rule cong :premises (@p191) :args (@t211)) % 16.87/17.12 (step @p193 :rule quant-merge-prenex :args ((= @t211 @t212))) % 16.87/17.12 (step @p194 :rule symm :premises (@p193)) % 16.87/17.12 (step @p195 :rule quant_var_reordering :args ((= @t213 @t212))) % 16.87/17.12 (step @p196 :rule trans :premises (@p195 @p194 @p192)) % 16.87/17.12 (step @p197 :rule trans :premises (@p196 @p179)) % 16.87/17.12 (step @p198 :rule quant-merge-prenex :args ((= (forall @t16 @t214) @t213))) % 16.87/17.12 (step @p199 :rule alpha_equiv :args (@t215 @t195 @t218)) % 16.87/17.12 (step @p200 :rule nary_cong :premises (@p199 @p161) :args (@t219)) % 16.87/17.12 (step @p201 :rule quant-miniscope-and :args ((= @t220 @t219))) % 16.87/17.12 (step @p202 :rule trans :premises (@p201 @p200)) % 16.87/17.12 (step @p203 :rule nary_cong :premises (@p184 @p183 @p182 @p202) :args (@t221)) % 16.87/17.12 (step @p204 :rule quant-miniscope-or :args ((= @t214 @t221))) % 16.87/17.12 (step @p205 :rule trans :premises (@p204 @p203)) % 16.87/17.12 (step @p206 :rule symm :premises (@p205)) % 16.87/17.12 (step @p207 :rule cong :premises (@p206) :args (@t225)) % 16.87/17.12 (step @p208 :rule trans :premises (@p207 @p198)) % 16.87/17.12 (step @p209 :rule trans :premises (@p208 @p197)) % 16.87/17.12 (step @p210 :rule refl :args (@t162)) % 16.87/17.12 (step @p211 :rule refl :args (@t161)) % 16.87/17.12 (step @p212 :rule refl :args (@t106)) % 16.87/17.12 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209) :args (@t226)) % 16.87/17.12 (step @p214 :rule trans :premises (@p213 @p160)) % 16.87/17.12 (step @p215 :rule quant-miniscope-or :args ((= (forall @t16 @t227) @t226))) % 16.87/17.12 (step @p216 :rule aci_norm :args ((= @t228 @t227))) % 16.87/17.12 (step @p217 :rule cong :premises (@p216) :args ((forall @t16 @t228))) % 16.87/17.12 (step @p218 :rule trans :premises (@p217 @p215)) % 16.87/17.12 (step @p219 :rule trans :premises (@p218 @p214)) % 16.87/17.12 (step @p220 :rule aci_norm :args ((= (or @t207 @t229) @t228))) % 16.87/17.12 (step @p221 :rule bool-impl-elim :args (@t15 @t229)) % 16.87/17.12 (step @p222 :rule trans :premises (@p221 @p220)) % 16.87/17.12 (step @p223 :rule cong :premises (@p222) :args ((forall @t16 (=> @t15 @t229)))) % 16.87/17.12 (step @p224 :rule trans :premises (@p223 @p219)) % 16.87/17.12 (step @p225 :rule aci_norm :args ((= (or @t107 @t106 @t161 (or @t162 @t206 @t223)) @t229))) % 16.87/17.12 (step @p226 :rule quant-unused-vars :args ((= @t233 @t105))) % 16.87/17.12 (step @p227 :rule alpha_equiv :args (@t240 @t241 @t218)) % 16.87/17.12 (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t242)) % 16.87/17.12 (step @p229 :rule quant-miniscope-and :args ((= @t244 @t242))) % 16.87/17.12 (step @p230 :rule trans :premises (@p229 @p228)) % 16.87/17.12 (step @p231 :rule refl :args (@t206)) % 16.87/17.12 (step @p232 :rule nary_cong :premises (@p210 @p231 @p230) :args (@t245)) % 16.87/17.12 (step @p233 :rule quant-miniscope-or :args ((= (forall @t232 @t246) @t245))) % 16.87/17.12 (step @p234 :rule trans :premises (@p233 @p232)) % 16.87/17.12 (step @p235 :rule aci_norm :args ((= (or @t162 false @t206 @t243) @t246))) % 16.87/17.12 (step @p236 :rule refl :args (@t243)) % 16.87/17.12 (step @p237 :rule eq-refl :args (@t1)) % 16.87/17.12 (step @p238 :rule cong :premises (@p237) :args (@t247)) % 16.87/17.12 (step @p239 :rule trans :premises 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nary_cong :premises (@p443 @p449) :args ((or @t342 (not @t339)))) % 16.87/17.12 (step @p451 :rule cnf_or_neg :args (@t342 1)) % 16.87/17.12 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 16.87/17.12 (step @p453 :rule reordering :premises (@p452) :args ((or @t338 @t342))) % 16.87/17.12 (step @p454 :rule chain_m_resolution :premises (@p453 @p441) :args (@t338 @t363 @t366)) % 16.87/17.12 (step @p455 :rule bool-double-not-elim :args (@t346)) % 16.87/17.12 (step @p456 :rule nary_cong :premises (@p433 @p455) :args ((or @t352 (not @t347)))) % 16.87/17.12 (step @p457 :rule cnf_or_neg :args (@t352 3)) % 16.87/17.12 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 16.87/17.12 (step @p459 :rule reordering :premises (@p458) :args ((or @t346 @t352))) % 16.87/17.12 (step @p460 :rule chain_m_resolution :premises (@p459 @p429) :args (@t346 @t363 @t364)) % 16.87/17.12 (step @p461 :rule eq-symm :args (@t367 @t332)) % 16.87/17.12 (step @p462 :rule cong :premises (@p461) :args (@t368)) % 16.87/17.12 (step @p463 :rule eq-symm :args (@t370 @t326)) % 16.87/17.12 (step @p464 :rule cong :premises (@p463) :args (@t371)) % 16.87/17.12 (step @p465 :rule refl :args (@t339)) % 16.87/17.12 (step @p466 :rule refl :args (@t372)) % 16.87/17.12 (step @p467 :rule refl :args (@t341)) % 16.87/17.12 (step @p468 :rule nary_cong :premises (@p467 @p466 @p465 @p464 @p462) :args (@t373)) % 16.87/17.12 (step @p469 :rule refl :args (@t346)) % 16.87/17.12 (step @p470 :rule cong :premises (@p469 @p468) :args ((=> @t346 @t373))) % 16.87/17.12 (assume-push @p553 @t346) % 16.87/17.12 (step @p472 :rule instantiate :premises (@p460) :args ((@list @t328 tptp.nil @t330))) % 16.87/17.12 (step-pop @p554 :rule scope :premises (@p472)) % 16.87/17.12 (step @p473 :rule process_scope :premises (@p554) :args (@t373)) % 16.87/17.12 (step @p475 :rule eq_resolve :premises (@p473 @p470)) % 16.87/17.12 (step @p476 :rule implies_elim :premises (@p475)) % 16.87/17.12 (step @p477 :rule chain_m_resolution :premises (@p476 @p460) :args (@t378 (@list false) (@list @t346))) % 16.87/17.12 (step @p478 :rule refl :args (tptp.nil)) % 16.87/17.12 (step @p479 :rule bool-double-not-elim :args (@t333)) % 16.87/17.12 (step @p480 :rule nary_cong :premises (@p443 @p479) :args ((or @t342 (not @t334)))) % 16.87/17.12 (step @p481 :rule cnf_or_neg :args (@t342 3)) % 16.87/17.12 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 16.87/17.12 (step @p483 :rule reordering :premises (@p482) :args ((or @t333 @t342))) % 16.87/17.12 (step @p484 :rule chain_m_resolution :premises (@p483 @p441) :args (@t333 @t363 @t366)) % 16.87/17.12 (step @p485 :rule cong :premises (@p484 @p478) :args (@t379)) % 16.87/17.12 (step @p486 :rule bool-impl-elim :args (@t17 @t380)) % 16.87/17.12 (step @p487 :rule cong :premises (@p486) :args ((forall @t9 (=> @t17 @t380)))) % 16.87/17.12 (step @p488 :rule eq-symm :args (@t69 @t2)) % 16.87/17.12 (step @p489 :rule cong :premises (@p395 @p488) :args (@t70)) % 16.87/17.12 (step @p490 :rule cong :premises (@p489) :args (@t71)) % 16.87/17.12 (step @p491 :rule trans :premises (@p490 @p487)) % 16.87/17.12 (step @p492 :rule eq_resolve :premises (@p84 @p491)) % 16.87/17.12 (step @p493 :rule instantiate :premises (@p492) :args ((@list @t332))) % 16.87/17.12 (step @p494 :rule bool-double-not-elim :args (@t350)) % 16.87/17.12 (step @p495 :rule nary_cong :premises (@p433 @p494) :args ((or @t352 (not @t351)))) % 16.87/17.12 (step @p496 :rule cnf_or_neg :args (@t352 0)) % 16.87/17.12 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 16.87/17.12 (step @p498 :rule reordering :premises (@p497) :args ((or @t350 @t352))) % 16.87/17.12 (step @p499 :rule chain_m_resolution :premises (@p498 @p429) :args (@t350 @t363 @t364)) % 16.87/17.12 (step @p500 :rule cnf_or_pos :args (@t382)) % 16.87/17.12 (step @p501 :rule reordering :premises (@p500) :args ((or @t351 @t381 (not @t382)))) % 16.87/17.12 (step @p502 :rule chain_m_resolution :premises (@p501 @p499 @p493) :args (@t381 @t383 (@list @t350 @t382))) % 16.87/17.12 (step @p503 :rule trans :premises (@p502 @p485)) % 16.87/17.12 (step @p504 :rule refl :args (@t330)) % 16.87/17.12 (step @p505 :rule bool-impl-elim :args (@t17 @t384)) % 16.87/17.12 (step @p506 :rule cong :premises (@p505) :args ((forall @t9 (=> @t17 @t384)))) % 16.87/17.12 (step @p507 :rule eq-symm :args (@t51 @t2)) % 16.87/17.12 (step @p508 :rule cong :premises (@p395 @p507) :args (@t52)) % 16.87/17.12 (step @p509 :rule cong :premises (@p508) :args (@t53)) % 16.87/17.12 (step @p510 :rule trans :premises (@p509 @p506)) % 16.87/17.12 (step @p511 :rule eq_resolve :premises (@p28 @p510)) % 16.87/17.12 (step @p512 :rule instantiate :premises (@p511) :args ((@list @t329))) % 16.87/17.12 (step @p513 :rule aci_norm :args ((= @t389 (or @t142 @t387 @t386)))) % 16.87/17.12 (step @p514 :rule cong :premises (@p513) :args (@t390)) % 16.87/17.12 (step @p515 :rule quant-merge-prenex :args ((= (forall @t9 @t392) @t390))) % 16.87/17.12 (step @p516 :rule alpha_equiv :args (@t393 (@list @t385) (@list @t1))) % 16.87/17.12 (step @p517 :rule nary_cong :premises (@p120 @p516) :args (@t394)) % 16.87/17.12 (step @p518 :rule quant-miniscope-or :args ((= @t392 @t394))) % 16.87/17.12 (step @p519 :rule trans :premises (@p518 @p517)) % 16.87/17.12 (step @p520 :rule symm :premises (@p519)) % 16.87/17.12 (step @p521 :rule cong :premises (@p520) :args ((forall @t9 (or @t142 @t395)))) % 16.87/17.12 (step @p522 :rule trans :premises (@p521 @p515)) % 16.87/17.12 (step @p523 :rule trans :premises (@p522 @p514)) % 16.87/17.12 (step @p524 :rule bool-impl-elim :args (@t17 @t395)) % 16.87/17.12 (step @p525 :rule cong :premises (@p524) :args ((forall @t9 (=> @t17 @t395)))) % 16.87/17.12 (step @p526 :rule trans :premises (@p525 @p523)) % 16.87/17.12 (step @p527 :rule bool-impl-elim :args (@t6 @t38)) % 16.87/17.12 (step @p528 :rule cong :premises (@p527) :args (@t39)) % 16.87/17.12 (step @p529 :rule cong :premises (@p395 @p528) :args (@t40)) % 16.87/17.12 (step @p530 :rule cong :premises (@p529) :args (@t41)) % 16.87/17.12 (step @p531 :rule trans :premises (@p530 @p526)) % 16.87/17.12 (step @p532 :rule eq_resolve :premises (@p16 @p531)) % 16.87/17.12 (step @p533 :rule instantiate :premises (@p532) :args ((@list tptp.nil @t328))) % 16.87/17.12 (step @p534 :rule cnf_or_pos :args (@t397)) % 16.87/17.12 (step @p535 :rule reordering :premises (@p534) :args ((or @t372 @t341 @t396 (not @t397)))) % 16.87/17.12 (step @p536 :rule chain_m_resolution :premises (@p535 @p17 @p448 @p533) :args (@t396 (@list false false false) (@list @t42 @t340 @t397))) % 16.87/17.12 (step @p537 :rule cnf_or_pos :args (@t400)) % 16.87/17.12 (step @p538 :rule reordering :premises (@p537) :args ((or @t399 @t398 (not @t400)))) % 16.87/17.12 (step @p539 :rule chain_m_resolution :premises (@p538 @p536 @p512) :args (@t398 @t383 (@list @t396 @t400))) % 16.87/17.12 (step @p540 :rule cong :premises (@p539 @p504) :args (@t335)) % 16.87/17.12 (step @p541 :rule bool-double-not-elim :args (@t336)) % 16.87/17.12 (step @p542 :rule nary_cong :premises (@p443 @p541) :args ((or @t342 (not @t337)))) % 16.87/17.12 (step @p543 :rule cnf_or_neg :args (@t342 2)) % 16.87/17.12 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 16.87/17.12 (step @p545 :rule reordering :premises (@p544) :args ((or @t336 @t342))) % 16.87/17.12 (step @p546 :rule chain_m_resolution :premises (@p545 @p441) :args (@t336 @t363 @t366)) % 16.87/17.12 (step @p547 :rule trans :premises (@p546 @p540)) % 16.87/17.12 (step @p548 :rule cnf_or_pos :args (@t378)) % 16.87/17.12 (step @p549 :rule reordering :premises (@p548) :args ((or @t372 @t341 @t339 @t377 @t375 (not @t378)))) % 16.87/17.12 (step @p550 false :rule chain_m_resolution :premises (@p549 @p547 @p503 @p477 @p454 @p448 @p17) :args (false (@list false false false false false false) (@list @t376 @t374 @t378 @t338 @t340 @t42))) % 16.87/17.12 ) % 16.87/17.12 % SZS output end Proof % 16.87/17.12 % cvc5 exiting %------------------------------------------------------------------------------