%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC320+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 : n029.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 08:58:51 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC320+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 % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:41:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.nil $$unsorted) % 0.52/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.71 (define @t3 () (= @t2 @t1)) % 0.52/0.71 (define @t4 () (not @t3)) % 0.52/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.71 (define @t7 () (@list @t1)) % 0.52/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.71 (define @t9 () (@list @t2)) % 0.52/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.71 (define @t13 () (tptp.ssList @t10)) % 0.52/0.71 (define @t14 () (@list @t10)) % 0.52/0.71 (define @t15 () (tptp.ssList @t12)) % 0.52/0.71 (define @t16 () (@list @t12)) % 0.52/0.71 (define @t17 () (tptp.ssList @t2)) % 0.52/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.71 (define @t21 () (tptp.ssList @t1)) % 0.52/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.52/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.52/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.52/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.52/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.52/0.71 (define @t30 () (tptp.ssList @t27)) % 0.52/0.71 (define @t31 () (@list @t27)) % 0.52/0.71 (define @t32 () (tptp.ssList @t28)) % 0.52/0.71 (define @t33 () (@list @t28)) % 0.52/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.52/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.52/0.71 (define @t36 () (= @t1 @t12)) % 0.52/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.52/0.71 (define @t38 () (= @t1 @t2)) % 0.52/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.52/0.71 (define @t40 () (= tptp.nil @t2)) % 0.52/0.71 (define @t41 () (tptp.hd @t2)) % 0.52/0.71 (define @t42 () (not @t40)) % 0.52/0.71 (define @t43 () (tptp.tl @t2)) % 0.52/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.52/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.52/0.71 (define @t46 () (tptp.leq @t1 @t2)) % 0.52/0.71 (define @t47 () (tptp.leq @t2 @t1)) % 0.52/0.71 (define @t48 () (tptp.geq @t2 @t1)) % 0.52/0.71 (define @t49 () (tptp.lt @t1 @t2)) % 0.52/0.71 (define @t50 () (tptp.lt @t2 @t1)) % 0.52/0.71 (define @t51 () (tptp.lt @t2 @t12)) % 0.52/0.71 (define @t52 () (tptp.gt @t2 @t1)) % 0.52/0.71 (define @t53 () (tptp.memberP @t12 @t2)) % 0.52/0.71 (define @t54 () (tptp.app @t12 @t2)) % 0.52/0.71 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.52/0.71 (define @t56 () (tptp.hd @t1)) % 0.52/0.71 (define @t57 () (= tptp.nil @t1)) % 0.52/0.71 (define @t58 () (not @t57)) % 0.52/0.71 (define @t59 () (tptp.cons @t2 @t1)) % 0.52/0.71 (define @t60 () (= @t12 @t2)) % 0.52/0.71 (define @t61 () (@var "X1" $$unsorted)) % 0.52/0.71 (define @t62 () (tptp.cons @t61 tptp.nil)) % 0.52/0.71 (define @t63 () (@var "X2" $$unsorted)) % 0.52/0.71 (define @t64 () (tptp.app @t63 @t62)) % 0.52/0.71 (define @t65 () (tptp.app @t62 @t63)) % 0.52/0.71 (define @t66 () (tptp.ssList @t63)) % 0.52/0.71 (define @t67 () (and @t66 (= @t65 @t2) (= @t64 @t1))) % 0.52/0.71 (define @t68 () (@list @t63)) % 0.52/0.71 (define @t69 () (exists @t68 @t67)) % 0.52/0.71 (define @t70 () (tptp.ssItem @t61)) % 0.52/0.71 (define @t71 () (and @t70 @t69)) % 0.52/0.71 (define @t72 () (@list @t61)) % 0.52/0.71 (define @t73 () (exists @t72 @t71)) % 0.52/0.71 (define @t74 () (tptp.neq @t1 tptp.nil)) % 0.52/0.71 (define @t75 () (not @t74)) % 0.52/0.71 (define @t76 () (or @t75 @t73)) % 0.52/0.71 (define @t77 () (or @t58 @t40)) % 0.52/0.71 (define @t78 () (and @t77 @t76)) % 0.52/0.71 (define @t79 () (tptp.neq @t10 tptp.nil)) % 0.52/0.71 (define @t80 () (tptp.cons @t28 tptp.nil)) % 0.52/0.71 (define @t81 () (tptp.app @t27 @t80)) % 0.52/0.71 (define @t82 () (not (= @t81 @t10))) % 0.52/0.71 (define @t83 () (tptp.app @t80 @t27)) % 0.52/0.71 (define @t84 () (not (= @t83 @t12))) % 0.52/0.71 (define @t85 () (not @t30)) % 0.52/0.71 (define @t86 () (or @t85 @t84 @t82)) % 0.52/0.71 (define @t87 () (forall @t31 @t86)) % 0.52/0.71 (define @t88 () (tptp.ssItem @t28)) % 0.52/0.71 (define @t89 () (=> @t88 @t87)) % 0.52/0.71 (define @t90 () (forall @t33 @t89)) % 0.52/0.71 (define @t91 () (and @t90 @t79)) % 0.52/0.71 (define @t92 () (not (= tptp.nil @t12))) % 0.52/0.71 (define @t93 () (and @t92 (= tptp.nil @t10))) % 0.52/0.71 (define @t94 () (not (= @t2 @t12))) % 0.52/0.71 (define @t95 () (not (= @t1 @t10))) % 0.52/0.71 (define @t96 () (not @t13)) % 0.52/0.71 (define @t97 () (or @t96 @t95 @t94 @t93 @t91 @t78)) % 0.52/0.71 (define @t98 () (forall @t14 @t97)) % 0.52/0.71 (define @t99 () (=> @t15 @t98)) % 0.52/0.71 (define @t100 () (forall @t16 @t99)) % 0.52/0.71 (define @t101 () (=> @t21 @t100)) % 0.52/0.71 (define @t102 () (forall @t7 @t101)) % 0.52/0.71 (define @t103 () (=> @t17 @t102)) % 0.52/0.71 (define @t104 () (forall @t9 @t103)) % 0.52/0.71 (define @t105 () (not @t104)) % 0.52/0.71 (define @t106 () (@var "BOUND_VARIABLE_11183" $$unsorted)) % 0.52/0.71 (define @t107 () (tptp.neq @t106 tptp.nil)) % 0.52/0.71 (define @t108 () (@var "BOUND_VARIABLE_11185" $$unsorted)) % 0.52/0.71 (define @t109 () (tptp.cons @t108 tptp.nil)) % 0.52/0.71 (define @t110 () (@var "BOUND_VARIABLE_11187" $$unsorted)) % 0.52/0.71 (define @t111 () (and (or (not (tptp.ssItem @t108)) (not (tptp.ssList @t110)) (not (= @t2 (tptp.app @t109 @t110))) (not (= @t106 (tptp.app @t110 @t109)))) @t107)) % 0.52/0.71 (define @t112 () (= @t2 tptp.nil)) % 0.52/0.71 (define @t113 () (not @t112)) % 0.52/0.71 (define @t114 () (= @t106 tptp.nil)) % 0.52/0.71 (define @t115 () (and @t113 @t114)) % 0.52/0.71 (define @t116 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 0.52/0.71 (define @t117 () (tptp.app @t116 @t62)) % 0.52/0.71 (define @t118 () (not (= @t106 @t117))) % 0.52/0.71 (define @t119 () (tptp.app @t62 @t116)) % 0.52/0.71 (define @t120 () (not (= @t2 @t119))) % 0.52/0.71 (define @t121 () (not (tptp.ssList @t116))) % 0.52/0.71 (define @t122 () (not @t70)) % 0.52/0.71 (define @t123 () (or @t122 @t121 @t120 @t118)) % 0.52/0.71 (define @t124 () (@list @t61 @t116)) % 0.52/0.71 (define @t125 () (forall @t124 @t123)) % 0.52/0.71 (define @t126 () (not @t125)) % 0.52/0.71 (define @t127 () (not @t107)) % 0.52/0.71 (define @t128 () (or @t127 @t126)) % 0.52/0.71 (define @t129 () (not @t114)) % 0.52/0.71 (define @t130 () (or @t129 @t112)) % 0.52/0.71 (define @t131 () (and @t130 @t128)) % 0.52/0.71 (define @t132 () (not (tptp.ssList @t106))) % 0.52/0.71 (define @t133 () (not @t17)) % 0.52/0.71 (define @t134 () (or @t133 @t132 @t131 @t115 @t111)) % 0.52/0.71 (define @t135 () (or @t132 @t131 @t115 @t111)) % 0.52/0.71 (define @t136 () (or @t133 @t135)) % 0.52/0.71 (define @t137 () (@list @t2 @t106 @t108 @t110)) % 0.52/0.71 (define @t138 () (forall @t137 @t136)) % 0.52/0.71 (define @t139 () (@list @t106 @t108 @t110)) % 0.52/0.71 (define @t140 () (forall @t139 @t136)) % 0.52/0.71 (define @t141 () (forall @t139 @t135)) % 0.52/0.71 (define @t142 () (@var "BOUND_VARIABLE_11161" $$unsorted)) % 0.52/0.71 (define @t143 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 0.52/0.71 (define @t144 () (or @t133 @t141)) % 0.52/0.71 (define @t145 () (tptp.cons @t143 tptp.nil)) % 0.52/0.71 (define @t146 () (or (not (tptp.ssItem @t143)) (not (tptp.ssList @t142)) (not (= @t2 (tptp.app @t145 @t142))) (not (= @t1 (tptp.app @t142 @t145))))) % 0.52/0.71 (define @t147 () (and @t146 @t74)) % 0.52/0.71 (define @t148 () (= @t1 tptp.nil)) % 0.52/0.71 (define @t149 () (and @t113 @t148)) % 0.52/0.71 (define @t150 () (not (= @t1 @t117))) % 0.52/0.71 (define @t151 () (or @t122 @t121 @t120 @t150)) % 0.52/0.71 (define @t152 () (and (or (not @t148) @t112) (or @t75 (not (forall @t124 @t151))))) % 0.52/0.71 (define @t153 () (not @t21)) % 0.52/0.71 (define @t154 () (or @t153 @t152 @t149 @t147)) % 0.52/0.71 (define @t155 () (forall (@list @t1 @t143 @t142) @t154)) % 0.52/0.71 (define @t156 () (or @t133 @t155)) % 0.52/0.71 (define @t157 () (@list @t143 @t142)) % 0.52/0.71 (define @t158 () (forall @t157 @t154)) % 0.52/0.71 (define @t159 () (forall @t157 @t74)) % 0.52/0.71 (define @t160 () (forall @t157 @t146)) % 0.52/0.71 (define @t161 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 0.52/0.71 (define @t162 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 0.52/0.71 (define @t163 () (@list @t162 @t161)) % 0.52/0.71 (define @t164 () (and @t160 @t159)) % 0.52/0.71 (define @t165 () (forall @t157 @t147)) % 0.52/0.71 (define @t166 () (or @t153 @t152 @t149 @t165)) % 0.52/0.71 (define @t167 () (tptp.cons @t162 tptp.nil)) % 0.52/0.71 (define @t168 () (and (forall (@list @t162 @t161) (or (not (tptp.ssItem @t162)) (not (tptp.ssList @t161)) (not (= @t2 (tptp.app @t167 @t161))) (not (= @t1 (tptp.app @t161 @t167))))) @t74)) % 0.52/0.71 (define @t169 () (or @t153 @t152 @t149 @t168)) % 0.52/0.71 (define @t170 () (forall @t7 @t169)) % 0.52/0.71 (define @t171 () (or @t133 @t170)) % 0.52/0.71 (define @t172 () (or @t133 @t169)) % 0.52/0.71 (define @t173 () (or @t153 @t152 @t133 @t149 @t168)) % 0.52/0.71 (define @t174 () (or @t152 @t153 @t133 @t149 @t168)) % 0.52/0.71 (define @t175 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 0.52/0.71 (define @t176 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 0.52/0.71 (define @t177 () (@list @t176 @t175)) % 0.52/0.71 (define @t178 () (forall @t177 @t74)) % 0.52/0.71 (define @t179 () (tptp.cons @t176 tptp.nil)) % 0.52/0.71 (define @t180 () (not (= @t1 (tptp.app @t175 @t179)))) % 0.52/0.71 (define @t181 () (tptp.app @t179 @t175)) % 0.52/0.71 (define @t182 () (not (tptp.ssList @t175))) % 0.52/0.71 (define @t183 () (not (tptp.ssItem @t176))) % 0.52/0.71 (define @t184 () (or @t183 @t182 (not (= @t2 @t181)) @t180)) % 0.52/0.71 (define @t185 () (forall @t177 @t184)) % 0.52/0.71 (define @t186 () (@list @t176 @t175)) % 0.52/0.71 (define @t187 () (and @t185 @t178)) % 0.52/0.71 (define @t188 () (and @t184 @t74)) % 0.52/0.71 (define @t189 () (forall @t177 @t188)) % 0.52/0.71 (define @t190 () (or @t133 @t149 @t189)) % 0.52/0.71 (define @t191 () (or @t133 @t149 @t188)) % 0.52/0.71 (define @t192 () (not (= @t2 @t2))) % 0.52/0.71 (define @t193 () (or @t133 @t192 @t149 @t188)) % 0.52/0.71 (define @t194 () (or @t183 @t182 (not (= @t12 @t181)) @t180)) % 0.52/0.71 (define @t195 () (and @t194 @t74)) % 0.52/0.71 (define @t196 () (not (= @t12 tptp.nil))) % 0.52/0.71 (define @t197 () (and @t196 @t148)) % 0.52/0.71 (define @t198 () (not @t15)) % 0.52/0.71 (define @t199 () (or @t94 @t198 @t94 @t197 @t195)) % 0.52/0.71 (define @t200 () (or @t198 @t94 @t197 @t195)) % 0.52/0.71 (define @t201 () (forall @t16 @t200)) % 0.52/0.71 (define @t202 () (forall @t177 @t201)) % 0.52/0.71 (define @t203 () (forall (@list @t176 @t175 @t12) @t200)) % 0.52/0.71 (define @t204 () (forall (@list @t12 @t176 @t175) @t200)) % 0.52/0.71 (define @t205 () (forall @t177 @t200)) % 0.52/0.71 (define @t206 () (forall @t177 @t194)) % 0.52/0.71 (define @t207 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 0.52/0.71 (define @t208 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 0.52/0.71 (define @t209 () (@list @t208 @t207)) % 0.52/0.71 (define @t210 () (and @t206 @t178)) % 0.52/0.71 (define @t211 () (forall @t177 @t195)) % 0.52/0.71 (define @t212 () (or @t198 @t94 @t197 @t211)) % 0.52/0.71 (define @t213 () (tptp.cons @t208 tptp.nil)) % 0.52/0.71 (define @t214 () (and (forall (@list @t208 @t207) (or (not (tptp.ssItem @t208)) (not (tptp.ssList @t207)) (not (= @t12 (tptp.app @t213 @t207))) (not (= @t1 (tptp.app @t207 @t213))))) @t74)) % 0.52/0.71 (define @t215 () (or @t198 @t94 @t197 @t214)) % 0.52/0.71 (define @t216 () (forall @t16 @t215)) % 0.52/0.71 (define @t217 () (or @t152 @t153 @t216)) % 0.52/0.71 (define @t218 () (or @t152 @t153 @t215)) % 0.52/0.71 (define @t219 () (or @t198 @t94 @t152 @t153 @t197 @t214)) % 0.52/0.71 (define @t220 () (or @t94 @t152 @t153 @t197 @t214)) % 0.52/0.71 (define @t221 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 0.52/0.71 (define @t222 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 0.52/0.71 (define @t223 () (@list @t222 @t221)) % 0.52/0.71 (define @t224 () (forall @t223 @t74)) % 0.52/0.71 (define @t225 () (tptp.cons @t222 tptp.nil)) % 0.52/0.71 (define @t226 () (tptp.app @t221 @t225)) % 0.52/0.71 (define @t227 () (not (= @t12 (tptp.app @t225 @t221)))) % 0.52/0.71 (define @t228 () (not (tptp.ssList @t221))) % 0.52/0.71 (define @t229 () (not (tptp.ssItem @t222))) % 0.52/0.71 (define @t230 () (or @t229 @t228 @t227 (not (= @t1 @t226)))) % 0.52/0.71 (define @t231 () (forall @t223 @t230)) % 0.52/0.71 (define @t232 () (@list @t222 @t221)) % 0.52/0.71 (define @t233 () (and @t231 @t224)) % 0.52/0.71 (define @t234 () (and @t230 @t74)) % 0.52/0.71 (define @t235 () (forall @t223 @t234)) % 0.52/0.71 (define @t236 () (or @t153 @t197 @t235)) % 0.52/0.71 (define @t237 () (or @t153 @t197 @t234)) % 0.52/0.71 (define @t238 () (not (= @t1 @t1))) % 0.52/0.71 (define @t239 () (or @t153 @t238 @t197 @t234)) % 0.52/0.71 (define @t240 () (or @t229 @t228 @t227 (not (= @t10 @t226)))) % 0.52/0.71 (define @t241 () (and @t240 @t79)) % 0.52/0.71 (define @t242 () (and @t196 (= @t10 tptp.nil))) % 0.52/0.71 (define @t243 () (or @t95 @t96 @t95 @t242 @t241)) % 0.52/0.71 (define @t244 () (or @t96 @t95 @t242 @t241)) % 0.52/0.71 (define @t245 () (forall @t14 @t244)) % 0.52/0.71 (define @t246 () (forall @t223 @t245)) % 0.52/0.71 (define @t247 () (forall (@list @t222 @t221 @t10) @t244)) % 0.52/0.71 (define @t248 () (forall (@list @t10 @t222 @t221) @t244)) % 0.52/0.71 (define @t249 () (forall @t223 @t244)) % 0.52/0.71 (define @t250 () (forall @t223 @t79)) % 0.52/0.71 (define @t251 () (forall @t223 @t240)) % 0.52/0.71 (define @t252 () (@var "BOUND_VARIABLE_10962" $$unsorted)) % 0.52/0.71 (define @t253 () (and @t251 @t250)) % 0.52/0.71 (define @t254 () (forall @t223 @t241)) % 0.52/0.71 (define @t255 () (or @t96 @t95 @t242 @t254)) % 0.52/0.71 (define @t256 () (not (= @t10 (tptp.app @t252 @t80)))) % 0.52/0.71 (define @t257 () (not (= @t12 (tptp.app @t80 @t252)))) % 0.52/0.71 (define @t258 () (not (tptp.ssList @t252))) % 0.52/0.71 (define @t259 () (not @t88)) % 0.52/0.71 (define @t260 () (or @t259 @t258 @t257 @t256)) % 0.52/0.71 (define @t261 () (@list @t28 @t252)) % 0.52/0.71 (define @t262 () (and (forall @t261 @t260) @t79)) % 0.52/0.71 (define @t263 () (or @t96 @t95 @t242 @t262)) % 0.52/0.71 (define @t264 () (forall @t14 @t263)) % 0.52/0.71 (define @t265 () (or @t94 @t152 @t264)) % 0.52/0.71 (define @t266 () (or @t94 @t152 @t263)) % 0.52/0.71 (define @t267 () (or @t96 @t95 @t94 @t242 @t262 @t152)) % 0.52/0.71 (define @t268 () (or @t121 @t120 @t150)) % 0.52/0.71 (define @t269 () (or @t122 @t268)) % 0.52/0.71 (define @t270 () (forall @t124 @t269)) % 0.52/0.71 (define @t271 () (@list @t116)) % 0.52/0.71 (define @t272 () (forall @t271 @t269)) % 0.52/0.71 (define @t273 () (forall @t271 @t268)) % 0.52/0.71 (define @t274 () (or @t122 @t273)) % 0.52/0.71 (define @t275 () (= @t1 @t64)) % 0.52/0.71 (define @t276 () (not @t275)) % 0.52/0.71 (define @t277 () (= @t2 @t65)) % 0.52/0.71 (define @t278 () (not @t277)) % 0.52/0.71 (define @t279 () (not @t66)) % 0.52/0.71 (define @t280 () (or @t279 @t278 @t276)) % 0.52/0.71 (define @t281 () (forall @t68 @t280)) % 0.52/0.71 (define @t282 () (not @t281)) % 0.52/0.71 (define @t283 () (and @t70 @t282)) % 0.52/0.71 (define @t284 () (forall @t72 (not @t283))) % 0.52/0.71 (define @t285 () (not @t284)) % 0.52/0.71 (define @t286 () (and @t66 @t277 @t275)) % 0.52/0.71 (define @t287 () (forall @t68 (not @t286))) % 0.52/0.71 (define @t288 () (not @t287)) % 0.52/0.71 (define @t289 () (or @t258 @t257 @t256)) % 0.52/0.71 (define @t290 () (or @t259 @t289)) % 0.52/0.71 (define @t291 () (forall @t261 @t290)) % 0.52/0.71 (define @t292 () (@list @t252)) % 0.52/0.71 (define @t293 () (forall @t292 @t290)) % 0.52/0.71 (define @t294 () (forall @t292 @t289)) % 0.52/0.71 (define @t295 () (or @t259 @t294)) % 0.52/0.71 (define @t296 () (forall @t31 (or @t85 (not (= @t12 @t83)) (not (= @t10 @t81))))) % 0.52/0.71 (define @t297 () (= tptp.nil @t106)) % 0.52/0.71 (define @t298 () (forall @t137 (or @t133 @t132 (and (or (not @t297) @t112) (or @t127 (not (forall @t124 (or @t122 @t121 @t120 (not (= @t117 @t106))))))) (and @t113 @t297) @t111))) % 0.52/0.71 (define @t299 () (@quantifiers_skolemize @t298 1)) % 0.52/0.71 (define @t300 () (tptp.neq @t299 tptp.nil)) % 0.52/0.71 (define @t301 () (@quantifiers_skolemize @t298 2)) % 0.52/0.71 (define @t302 () (tptp.cons @t301 tptp.nil)) % 0.52/0.71 (define @t303 () (@quantifiers_skolemize @t298 3)) % 0.52/0.71 (define @t304 () (tptp.app @t303 @t302)) % 0.52/0.71 (define @t305 () (tptp.app @t302 @t303)) % 0.52/0.71 (define @t306 () (@quantifiers_skolemize @t298 0)) % 0.52/0.71 (define @t307 () (not (tptp.ssList @t303))) % 0.52/0.71 (define @t308 () (not (tptp.ssItem @t301))) % 0.52/0.71 (define @t309 () (or @t308 @t307 (not (= @t306 @t305)) (not (= @t299 @t304)))) % 0.52/0.71 (define @t310 () (and @t309 @t300)) % 0.52/0.71 (define @t311 () (= tptp.nil @t299)) % 0.52/0.71 (define @t312 () (= tptp.nil @t306)) % 0.52/0.71 (define @t313 () (not @t312)) % 0.52/0.71 (define @t314 () (and @t313 @t311)) % 0.52/0.71 (define @t315 () (not (= @t117 @t299))) % 0.52/0.71 (define @t316 () (forall @t124 (or @t122 @t121 (not (= @t119 @t306)) @t315))) % 0.52/0.71 (define @t317 () (not @t316)) % 0.52/0.71 (define @t318 () (not @t300)) % 0.52/0.71 (define @t319 () (or @t318 @t317)) % 0.52/0.71 (define @t320 () (not @t311)) % 0.52/0.71 (define @t321 () (or @t320 @t312)) % 0.52/0.71 (define @t322 () (and @t321 @t319)) % 0.52/0.71 (define @t323 () (not (tptp.ssList @t299))) % 0.52/0.71 (define @t324 () (not (tptp.ssList @t306))) % 0.52/0.71 (define @t325 () (or @t324 @t323 @t322 @t314 @t310)) % 0.52/0.71 (define @t326 () (not @t325)) % 0.52/0.71 (define @t327 () (not @t298)) % 0.52/0.71 (define @t328 () (= @t306 tptp.nil)) % 0.52/0.71 (define @t329 () (not @t328)) % 0.52/0.71 (define @t330 () (and @t329 @t311)) % 0.52/0.71 (define @t331 () (not (= @t306 @t119))) % 0.52/0.71 (define @t332 () (or @t122 @t121 @t331 @t315)) % 0.52/0.71 (define @t333 () (forall @t124 @t332)) % 0.52/0.71 (define @t334 () (not @t333)) % 0.52/0.71 (define @t335 () (or @t318 @t334)) % 0.52/0.71 (define @t336 () (or @t320 @t328)) % 0.52/0.71 (define @t337 () (and @t336 @t335)) % 0.52/0.71 (define @t338 () (or @t324 @t323 @t337 @t330 @t310)) % 0.52/0.71 (define @t339 () (not @t338)) % 0.52/0.71 (define @t340 () (@list true)) % 0.52/0.71 (define @t341 () (@list @t325)) % 0.52/0.71 (define @t342 () (not (= @t304 @t299))) % 0.52/0.71 (define @t343 () (not (= @t305 @t306))) % 0.52/0.71 (define @t344 () (or @t308 @t307 @t343 @t342)) % 0.52/0.71 (define @t345 () (@list @t321)) % 0.52/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.71 (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))))))))))) % 0.52/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.52/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.71 (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))))))))))))))))) % 0.52/0.71 (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)))))))))))))))) % 0.52/0.71 (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))))))))))))))))) % 0.52/0.71 (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))))))))))))))) % 0.52/0.71 (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))))))))))))))) % 0.52/0.71 (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)))))))))))))))) % 0.52/0.71 (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))))))))))))) % 0.52/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.52/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.52/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.52/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.52/0.71 (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) @t38))))))))))) % 0.52/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.52/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.52/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.52/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.52/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.52/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.52/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.52/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.52/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.52/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.52/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.52/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.52/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.52/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.52/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.52/0.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.52/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.52/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.71 (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)))))))))))) % 0.52/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.52/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.52/0.71 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.52/0.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.52/0.71 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.52/0.71 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.52/0.71 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.52/0.71 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.52/0.71 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.52/0.71 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.52/0.71 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.52/0.71 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.52/0.71 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.52/0.71 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.52/0.71 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.52/0.71 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.52/0.71 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.52/0.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.52/0.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.52/0.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.52/0.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.52/0.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.52/0.71 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.52/0.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.52/0.71 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.52/0.71 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.52/0.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.52/0.71 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.52/0.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.52/0.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.52/0.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.52/0.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.52/0.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.52/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.52/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.52/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.52/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.52/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.52/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.52/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.52/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.52/0.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.52/0.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.52/0.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.52/0.71 (assume @p96 @t105) % 0.52/0.71 (assume @p97 true) % 0.52/0.71 (step @p98 :rule refl :args (@t111)) % 0.52/0.71 (step @p99 :rule eq-symm :args (@t106 tptp.nil)) % 0.52/0.71 (step @p100 :rule refl :args (@t113)) % 0.52/0.71 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t115)) % 0.52/0.71 (step @p102 :rule eq-symm :args (@t106 @t117)) % 0.52/0.71 (step @p103 :rule cong :premises (@p102) :args (@t118)) % 0.52/0.71 (step @p104 :rule refl :args (@t120)) % 0.52/0.71 (step @p105 :rule refl :args (@t121)) % 0.52/0.71 (step @p106 :rule refl :args (@t122)) % 0.52/0.71 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t123)) % 0.52/0.71 (step @p108 :rule cong :premises (@p107) :args (@t125)) % 0.52/0.71 (step @p109 :rule cong :premises (@p108) :args (@t126)) % 0.52/0.71 (step @p110 :rule refl :args (@t127)) % 0.52/0.71 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t128)) % 0.52/0.71 (step @p112 :rule refl :args (@t112)) % 0.52/0.71 (step @p113 :rule cong :premises (@p99) :args (@t129)) % 0.52/0.71 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t130)) % 0.52/0.71 (step @p115 :rule nary_cong :premises (@p114 @p111) :args (@t131)) % 0.52/0.71 (step @p116 :rule refl :args (@t132)) % 0.52/0.71 (step @p117 :rule refl :args (@t133)) % 0.52/0.71 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p101 @p98) :args (@t134)) % 0.52/0.71 (step @p119 :rule aci_norm :args ((= @t136 @t134))) % 0.52/0.71 (step @p120 :rule trans :premises (@p119 @p118)) % 0.52/0.71 (step @p121 :rule cong :premises (@p120) :args (@t138)) % 0.52/0.71 (step @p122 :rule quant-merge-prenex :args ((= (forall @t9 @t140) @t138))) % 0.52/0.71 (step @p123 :rule alpha_equiv :args (@t141 (@list @t106 @t108 @t110) (@list @t1 @t143 @t142))) % 0.52/0.71 (step @p124 :rule refl :args (@t133)) % 0.52/0.71 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t144)) % 0.52/0.71 (step @p126 :rule quant-miniscope-or :args ((= @t140 @t144))) % 0.52/0.71 (step @p127 :rule trans :premises (@p126 @p125)) % 0.52/0.71 (step @p128 :rule symm :premises (@p127)) % 0.52/0.71 (step @p129 :rule cong :premises (@p128) :args ((forall @t9 @t156))) % 0.52/0.71 (step @p130 :rule trans :premises (@p129 @p122)) % 0.52/0.71 (step @p131 :rule trans :premises (@p130 @p121)) % 0.52/0.71 (step @p132 :rule aci_norm :args ((= (or @t133 @t156) @t156))) % 0.52/0.71 (step @p133 :rule bool-impl-elim :args (@t17 @t156)) % 0.52/0.71 (step @p134 :rule trans :premises (@p133 @p132)) % 0.52/0.71 (step @p135 :rule cong :premises (@p134) :args ((forall @t9 (=> @t17 @t156)))) % 0.52/0.71 (step @p136 :rule trans :premises (@p135 @p131)) % 0.52/0.71 (step @p137 :rule quant-merge-prenex :args ((= (forall @t7 @t158) @t155))) % 0.52/0.71 (step @p138 :rule quant-unused-vars :args ((= @t159 @t74))) % 0.52/0.71 (step @p139 :rule alpha_equiv :args (@t160 (@list @t143 @t142) @t163)) % 0.52/0.71 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t164)) % 0.52/0.71 (step @p141 :rule quant-miniscope-and :args ((= @t165 @t164))) % 0.52/0.71 (step @p142 :rule trans :premises (@p141 @p140)) % 0.52/0.71 (step @p143 :rule refl :args (@t149)) % 0.52/0.71 (step @p144 :rule refl :args (@t152)) % 0.52/0.71 (step @p145 :rule refl :args (@t153)) % 0.52/0.71 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (@t166)) % 0.52/0.71 (step @p147 :rule quant-miniscope-or :args ((= @t158 @t166))) % 0.52/0.71 (step @p148 :rule trans :premises (@p147 @p146)) % 0.52/0.71 (step @p149 :rule symm :premises (@p148)) % 0.52/0.71 (step @p150 :rule cong :premises (@p149) :args (@t170)) % 0.52/0.71 (step @p151 :rule trans :premises (@p150 @p137)) % 0.52/0.71 (step @p152 :rule nary_cong :premises (@p117 @p151) :args (@t171)) % 0.52/0.71 (step @p153 :rule quant-miniscope-or :args ((= (forall @t7 @t172) @t171))) % 0.52/0.71 (step @p154 :rule aci_norm :args ((= @t173 @t172))) % 0.52/0.71 (step @p155 :rule cong :premises (@p154) :args ((forall @t7 @t173))) % 0.52/0.71 (step @p156 :rule trans :premises (@p155 @p153)) % 0.52/0.71 (step @p157 :rule trans :premises (@p156 @p152)) % 0.52/0.71 (step @p158 :rule aci_norm :args ((= (or @t153 @t174) @t173))) % 0.52/0.71 (step @p159 :rule bool-impl-elim :args (@t21 @t174)) % 0.52/0.71 (step @p160 :rule trans :premises (@p159 @p158)) % 0.52/0.71 (step @p161 :rule cong :premises (@p160) :args ((forall @t7 (=> @t21 @t174)))) % 0.52/0.71 (step @p162 :rule trans :premises (@p161 @p157)) % 0.52/0.71 (step @p163 :rule aci_norm :args ((= (or @t152 @t153 (or @t133 @t149 @t168)) @t174))) % 0.52/0.71 (step @p164 :rule quant-unused-vars :args ((= @t178 @t74))) % 0.52/0.71 (step @p165 :rule alpha_equiv :args (@t185 @t186 @t163)) % 0.52/0.71 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t187)) % 0.52/0.71 (step @p167 :rule quant-miniscope-and :args ((= @t189 @t187))) % 0.52/0.71 (step @p168 :rule trans :premises (@p167 @p166)) % 0.52/0.71 (step @p169 :rule refl :args (@t149)) % 0.52/0.71 (step @p170 :rule nary_cong :premises (@p117 @p169 @p168) :args (@t190)) % 0.52/0.71 (step @p171 :rule quant-miniscope-or :args ((= (forall @t177 @t191) @t190))) % 0.52/0.71 (step @p172 :rule trans :premises (@p171 @p170)) % 0.52/0.71 (step @p173 :rule aci_norm :args ((= (or @t133 false @t149 @t188) @t191))) % 0.52/0.71 (step @p174 :rule refl :args (@t188)) % 0.52/0.71 (step @p175 :rule evaluate :args ((not true))) % 0.52/0.71 (step @p176 :rule eq-refl :args (@t2)) % 0.52/0.71 (step @p177 :rule cong :premises (@p176) :args (@t192)) % 0.52/0.71 (step @p178 :rule trans :premises (@p177 @p175)) % 0.52/0.71 (step @p179 :rule nary_cong :premises (@p117 @p178 @p169 @p174) :args (@t193)) % 0.52/0.71 (step @p180 :rule trans :premises (@p179 @p173)) % 0.52/0.71 (step @p181 :rule cong :premises (@p180) :args ((forall @t177 @t193))) % 0.52/0.71 (step @p182 :rule trans :premises (@p181 @p172)) % 0.52/0.71 (step @p183 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t198 @t94 @t197 @t195)) @t193))) % 0.52/0.71 (step @p184 :rule refl :args (@t195)) % 0.52/0.71 (step @p185 :rule refl :args (@t197)) % 0.52/0.71 (step @p186 :rule refl :args (@t94)) % 0.52/0.71 (step @p187 :rule refl :args (@t198)) % 0.52/0.71 (step @p188 :rule eq-symm :args (@t2 @t12)) % 0.52/0.71 (step @p189 :rule cong :premises (@p188) :args (@t94)) % 0.52/0.71 (step @p190 :rule nary_cong :premises (@p189 @p187 @p186 @p185 @p184) :args (@t199)) % 0.52/0.71 (step @p191 :rule aci_norm :args ((= @t200 @t199))) % 0.52/0.71 (step @p192 :rule trans :premises (@p191 @p190)) % 0.52/0.71 (step @p193 :rule cong :premises (@p192) :args (@t201)) % 0.52/0.71 (step @p194 :rule trans :premises (@p193 @p183)) % 0.52/0.71 (step @p195 :rule cong :premises (@p194) :args (@t202)) % 0.52/0.71 (step @p196 :rule quant-merge-prenex :args ((= @t202 @t203))) % 0.52/0.71 (step @p197 :rule symm :premises (@p196)) % 0.52/0.71 (step @p198 :rule quant_var_reordering :args ((= @t204 @t203))) % 0.52/0.71 (step @p199 :rule trans :premises (@p198 @p197 @p195)) % 0.52/0.71 (step @p200 :rule trans :premises (@p199 @p182)) % 0.52/0.71 (step @p201 :rule quant-merge-prenex :args ((= (forall @t16 @t205) @t204))) % 0.52/0.71 (step @p202 :rule alpha_equiv :args (@t206 @t186 @t209)) % 0.52/0.71 (step @p203 :rule nary_cong :premises (@p202 @p164) :args (@t210)) % 0.52/0.71 (step @p204 :rule quant-miniscope-and :args ((= @t211 @t210))) % 0.52/0.71 (step @p205 :rule trans :premises (@p204 @p203)) % 0.52/0.71 (step @p206 :rule nary_cong :premises (@p187 @p186 @p185 @p205) :args (@t212)) % 0.52/0.71 (step @p207 :rule quant-miniscope-or :args ((= @t205 @t212))) % 0.52/0.71 (step @p208 :rule trans :premises (@p207 @p206)) % 0.52/0.71 (step @p209 :rule symm :premises (@p208)) % 0.52/0.71 (step @p210 :rule cong :premises (@p209) :args (@t216)) % 0.52/0.71 (step @p211 :rule trans :premises (@p210 @p201)) % 0.52/0.71 (step @p212 :rule trans :premises (@p211 @p200)) % 0.52/0.71 (step @p213 :rule refl :args (@t153)) % 0.52/0.71 (step @p214 :rule refl :args (@t152)) % 0.52/0.71 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args (@t217)) % 0.52/0.71 (step @p216 :rule trans :premises (@p215 @p163)) % 0.52/0.71 (step @p217 :rule quant-miniscope-or :args ((= (forall @t16 @t218) @t217))) % 0.52/0.71 (step @p218 :rule aci_norm :args ((= @t219 @t218))) % 0.52/0.71 (step @p219 :rule cong :premises (@p218) :args ((forall @t16 @t219))) % 0.52/0.71 (step @p220 :rule trans :premises (@p219 @p217)) % 0.52/0.71 (step @p221 :rule trans :premises (@p220 @p216)) % 0.52/0.71 (step @p222 :rule aci_norm :args ((= (or @t198 @t220) @t219))) % 0.52/0.71 (step @p223 :rule bool-impl-elim :args (@t15 @t220)) % 0.52/0.71 (step @p224 :rule trans :premises (@p223 @p222)) % 0.52/0.71 (step @p225 :rule cong :premises (@p224) :args ((forall @t16 (=> @t15 @t220)))) % 0.52/0.71 (step @p226 :rule trans :premises (@p225 @p221)) % 0.52/0.71 (step @p227 :rule aci_norm :args ((= (or @t94 @t152 (or @t153 @t197 @t214)) @t220))) % 0.52/0.71 (step @p228 :rule quant-unused-vars :args ((= @t224 @t74))) % 0.52/0.71 (step @p229 :rule alpha_equiv :args (@t231 @t232 @t209)) % 0.52/0.71 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t233)) % 0.52/0.71 (step @p231 :rule quant-miniscope-and :args ((= @t235 @t233))) % 0.52/0.71 (step @p232 :rule trans :premises (@p231 @p230)) % 0.52/0.71 (step @p233 :rule refl :args (@t197)) % 0.52/0.71 (step @p234 :rule nary_cong :premises (@p213 @p233 @p232) :args (@t236)) % 0.52/0.71 (step @p235 :rule quant-miniscope-or :args ((= (forall @t223 @t237) @t236))) % 0.52/0.71 (step @p236 :rule trans :premises (@p235 @p234)) % 0.52/0.71 (step @p237 :rule aci_norm :args ((= (or @t153 false @t197 @t234) @t237))) % 0.52/0.71 (step @p238 :rule refl :args (@t234)) % 0.52/0.71 (step @p239 :rule eq-refl :args (@t1)) % 0.52/0.71 (step @p240 :rule cong :premises (@p239) :args (@t238)) % 0.52/0.71 (step @p241 :rule trans :premises (@p240 @p175)) % 0.52/0.71 (step @p242 :rule nary_cong :premises (@p213 @p241 @p233 @p238) :args (@t239)) % 0.52/0.71 (step @p243 :rule trans :premises (@p242 @p237)) % 0.52/0.71 (step @p244 :rule cong :premises (@p243) :args ((forall @t223 @t239))) % 0.52/0.71 (step @p245 :rule trans :premises (@p244 @p236)) % 0.52/0.71 (step @p246 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t96 @t95 @t242 @t241)) @t239))) % 0.52/0.71 (step @p247 :rule refl :args (@t241)) % 0.52/0.71 (step @p248 :rule refl :args (@t242)) % 0.52/0.71 (step @p249 :rule refl :args (@t95)) % 0.52/0.71 (step @p250 :rule refl :args (@t96)) % 0.52/0.71 (step @p251 :rule eq-symm :args (@t1 @t10)) % 0.52/0.71 (step @p252 :rule cong :premises (@p251) :args (@t95)) % 0.52/0.71 (step @p253 :rule nary_cong :premises (@p252 @p250 @p249 @p248 @p247) :args (@t243)) % 0.52/0.71 (step @p254 :rule aci_norm :args ((= @t244 @t243))) % 0.52/0.71 (step @p255 :rule trans :premises (@p254 @p253)) % 0.52/0.71 (step @p256 :rule cong :premises (@p255) :args (@t245)) % 0.52/0.71 (step @p257 :rule trans :premises (@p256 @p246)) % 0.52/0.71 (step @p258 :rule cong :premises (@p257) :args (@t246)) % 0.52/0.71 (step @p259 :rule quant-merge-prenex :args ((= @t246 @t247))) % 0.52/0.71 (step @p260 :rule symm :premises (@p259)) % 0.52/0.71 (step @p261 :rule quant_var_reordering :args ((= @t248 @t247))) % 0.52/0.71 (step @p262 :rule trans :premises (@p261 @p260 @p258)) % 0.52/0.71 (step @p263 :rule trans :premises (@p262 @p245)) % 0.52/0.71 (step @p264 :rule quant-merge-prenex :args ((= (forall @t14 @t249) @t248))) % 0.52/0.71 (step @p265 :rule quant-unused-vars :args ((= @t250 @t79))) % 0.52/0.71 (step @p266 :rule alpha_equiv :args (@t251 @t232 (@list @t28 @t252))) % 0.52/0.71 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t253)) % 0.52/0.71 (step @p268 :rule quant-miniscope-and :args ((= @t254 @t253))) % 0.52/0.71 (step @p269 :rule trans :premises (@p268 @p267)) % 0.52/0.71 (step @p270 :rule nary_cong :premises (@p250 @p249 @p248 @p269) :args (@t255)) % 0.52/0.71 (step @p271 :rule quant-miniscope-or :args ((= @t249 @t255))) % 0.52/0.71 (step @p272 :rule trans :premises (@p271 @p270)) % 0.52/0.71 (step @p273 :rule symm :premises (@p272)) % 0.52/0.71 (step @p274 :rule cong :premises (@p273) :args (@t264)) % 0.52/0.71 (step @p275 :rule trans :premises (@p274 @p264)) % 0.52/0.71 (step @p276 :rule trans :premises (@p275 @p263)) % 0.52/0.71 (step @p277 :rule refl :args (@t94)) % 0.52/0.71 (step @p278 :rule nary_cong :premises (@p277 @p214 @p276) :args (@t265)) % 0.52/0.71 (step @p279 :rule trans :premises (@p278 @p227)) % 0.52/0.71 (step @p280 :rule quant-miniscope-or :args ((= (forall @t14 @t266) @t265))) % 0.52/0.71 (step @p281 :rule aci_norm :args ((= @t267 @t266))) % 0.52/0.71 (step @p282 :rule cong :premises (@p281) :args ((forall @t14 @t267))) % 0.52/0.71 (step @p283 :rule trans :premises (@p282 @p280)) % 0.52/0.71 (step @p284 :rule trans :premises (@p283 @p279)) % 0.52/0.71 (step @p285 :rule aci_norm :args ((= @t269 @t151))) % 0.52/0.71 (step @p286 :rule cong :premises (@p285) :args (@t270)) % 0.52/0.71 (step @p287 :rule quant-merge-prenex :args ((= (forall @t72 @t272) @t270))) % 0.52/0.71 (step @p288 :rule alpha_equiv :args (@t273 (@list @t116) (@list @t63))) % 0.52/0.71 (step @p289 :rule refl :args (@t122)) % 0.52/0.71 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t274)) % 0.52/0.71 (step @p291 :rule quant-miniscope-or :args ((= @t272 @t274))) % 0.52/0.71 (step @p292 :rule trans :premises (@p291 @p290)) % 0.52/0.71 (step @p293 :rule symm :premises (@p292)) % 0.52/0.71 (step @p294 :rule cong :premises (@p293) :args ((forall @t72 (or @t122 @t281)))) % 0.52/0.71 (step @p295 :rule trans :premises (@p294 @p287)) % 0.52/0.71 (step @p296 :rule trans :premises (@p295 @p286)) % 0.52/0.71 (step @p297 :rule bool-double-not-elim :args (@t281)) % 0.52/0.71 (step @p298 :rule nary_cong :premises (@p289 @p297) :args ((or @t122 (not @t282)))) % 0.52/0.71 (step @p299 :rule bool-and-de-morgan :args (@t70 @t282 true)) % 0.52/0.71 (step @p300 :rule trans :premises (@p299 @p298)) % 0.52/0.71 (step @p301 :rule cong :premises (@p300) :args (@t284)) % 0.52/0.71 (step @p302 :rule trans :premises (@p301 @p296)) % 0.52/0.71 (step @p303 :rule cong :premises (@p302) :args (@t285)) % 0.52/0.71 (step @p304 :rule exists-elim :args ((= (exists @t72 @t283) @t285))) % 0.52/0.71 (step @p305 :rule trans :premises (@p304 @p303)) % 0.52/0.71 (step @p306 :rule aci_norm :args ((= (or @t279 (or @t278 @t276)) @t280))) % 0.52/0.71 (step @p307 :rule bool-and-de-morgan :args (@t277 @t275 true)) % 0.52/0.71 (step @p308 :rule refl :args (@t279)) % 0.52/0.71 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t279 (not (and @t277 @t275))))) % 0.52/0.71 (step @p310 :rule bool-and-de-morgan :args (@t66 @t277 (and @t275))) % 0.52/0.71 (step @p311 :rule trans :premises (@p310 @p309)) % 0.52/0.71 (step @p312 :rule trans :premises (@p311 @p306)) % 0.52/0.71 (step @p313 :rule cong :premises (@p312) :args (@t287)) % 0.52/0.71 (step @p314 :rule cong :premises (@p313) :args (@t288)) % 0.52/0.71 (step @p315 :rule exists-elim :args ((= (exists @t68 @t286) @t288))) % 0.52/0.71 (step @p316 :rule trans :premises (@p315 @p314)) % 0.52/0.71 (step @p317 :rule eq-symm :args (@t64 @t1)) % 0.52/0.71 (step @p318 :rule eq-symm :args (@t65 @t2)) % 0.52/0.71 (step @p319 :rule refl :args (@t66)) % 0.52/0.71 (step @p320 :rule nary_cong :premises (@p319 @p318 @p317) :args (@t67)) % 0.52/0.71 (step @p321 :rule cong :premises (@p320) :args (@t69)) % 0.52/0.71 (step @p322 :rule trans :premises (@p321 @p316)) % 0.52/0.71 (step @p323 :rule refl :args (@t70)) % 0.52/0.71 (step @p324 :rule nary_cong :premises (@p323 @p322) :args (@t71)) % 0.52/0.71 (step @p325 :rule cong :premises (@p324) :args (@t73)) % 0.52/0.71 (step @p326 :rule trans :premises (@p325 @p305)) % 0.52/0.71 (step @p327 :rule refl :args (@t75)) % 0.52/0.71 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t76)) % 0.52/0.71 (step @p329 :rule eq-symm :args (tptp.nil @t2)) % 0.52/0.71 (step @p330 :rule eq-symm :args (tptp.nil @t1)) % 0.52/0.71 (step @p331 :rule cong :premises (@p330) :args (@t58)) % 0.52/0.71 (step @p332 :rule nary_cong :premises (@p331 @p329) :args (@t77)) % 0.52/0.71 (step @p333 :rule nary_cong :premises (@p332 @p328) :args (@t78)) % 0.52/0.71 (step @p334 :rule refl :args (@t79)) % 0.52/0.71 (step @p335 :rule aci_norm :args ((= @t290 @t260))) % 0.52/0.71 (step @p336 :rule cong :premises (@p335) :args (@t291)) % 0.52/0.71 (step @p337 :rule quant-merge-prenex :args ((= (forall @t33 @t293) @t291))) % 0.52/0.71 (step @p338 :rule alpha_equiv :args (@t294 (@list @t252) (@list @t27))) % 0.52/0.71 (step @p339 :rule refl :args (@t259)) % 0.52/0.71 (step @p340 :rule nary_cong :premises (@p339 @p338) :args (@t295)) % 0.52/0.71 (step @p341 :rule quant-miniscope-or :args ((= @t293 @t295))) % 0.52/0.71 (step @p342 :rule trans :premises (@p341 @p340)) % 0.52/0.71 (step @p343 :rule symm :premises (@p342)) % 0.52/0.71 (step @p344 :rule cong :premises (@p343) :args ((forall @t33 (or @t259 @t296)))) % 0.52/0.71 (step @p345 :rule trans :premises (@p344 @p337)) % 0.52/0.71 (step @p346 :rule trans :premises (@p345 @p336)) % 0.52/0.71 (step @p347 :rule bool-impl-elim :args (@t88 @t296)) % 0.52/0.71 (step @p348 :rule cong :premises (@p347) :args ((forall @t33 (=> @t88 @t296)))) % 0.52/0.71 (step @p349 :rule trans :premises (@p348 @p346)) % 0.52/0.71 (step @p350 :rule eq-symm :args (@t81 @t10)) % 0.52/0.71 (step @p351 :rule cong :premises (@p350) :args (@t82)) % 0.52/0.71 (step @p352 :rule eq-symm :args (@t83 @t12)) % 0.52/0.71 (step @p353 :rule cong :premises (@p352) :args (@t84)) % 0.52/0.71 (step @p354 :rule refl :args (@t85)) % 0.52/0.71 (step @p355 :rule nary_cong :premises (@p354 @p353 @p351) :args (@t86)) % 0.52/0.71 (step @p356 :rule cong :premises (@p355) :args (@t87)) % 0.52/0.71 (step @p357 :rule refl :args (@t88)) % 0.52/0.71 (step @p358 :rule cong :premises (@p357 @p356) :args (@t89)) % 0.52/0.71 (step @p359 :rule cong :premises (@p358) :args (@t90)) % 0.52/0.71 (step @p360 :rule trans :premises (@p359 @p349)) % 0.52/0.71 (step @p361 :rule nary_cong :premises (@p360 @p334) :args (@t91)) % 0.52/0.71 (step @p362 :rule eq-symm :args (tptp.nil @t10)) % 0.52/0.71 (step @p363 :rule eq-symm :args (tptp.nil @t12)) % 0.52/0.71 (step @p364 :rule cong :premises (@p363) :args (@t92)) % 0.52/0.71 (step @p365 :rule nary_cong :premises (@p364 @p362) :args (@t93)) % 0.52/0.71 (step @p366 :rule refl :args (@t95)) % 0.52/0.71 (step @p367 :rule refl :args (@t96)) % 0.52/0.71 (step @p368 :rule nary_cong :premises (@p367 @p366 @p277 @p365 @p361 @p333) :args (@t97)) % 0.52/0.71 (step @p369 :rule cong :premises (@p368) :args (@t98)) % 0.52/0.71 (step @p370 :rule trans :premises (@p369 @p284)) % 0.52/0.71 (step @p371 :rule refl :args (@t15)) % 0.52/0.71 (step @p372 :rule cong :premises (@p371 @p370) :args (@t99)) % 0.52/0.71 (step @p373 :rule cong :premises (@p372) :args (@t100)) % 0.52/0.71 (step @p374 :rule trans :premises (@p373 @p226)) % 0.52/0.71 (step @p375 :rule refl :args (@t21)) % 0.52/0.71 (step @p376 :rule cong :premises (@p375 @p374) :args (@t101)) % 0.52/0.71 (step @p377 :rule cong :premises (@p376) :args (@t102)) % 0.52/0.71 (step @p378 :rule trans :premises (@p377 @p162)) % 0.52/0.71 (step @p379 :rule refl :args (@t17)) % 0.52/0.71 (step @p380 :rule cong :premises (@p379 @p378) :args (@t103)) % 0.52/0.71 (step @p381 :rule cong :premises (@p380) :args (@t104)) % 0.52/0.71 (step @p382 :rule trans :premises (@p381 @p136)) % 0.52/0.71 (step @p383 :rule cong :premises (@p382) :args (@t105)) % 0.52/0.71 (step @p384 :rule eq_resolve :premises (@p96 @p383)) % 0.52/0.71 (step @p385 :rule refl :args (@t326)) % 0.52/0.71 (step @p386 :rule bool-double-not-elim :args (@t298)) % 0.52/0.71 (step @p387 :rule nary_cong :premises (@p386 @p385) :args ((or (not @t327) @t326))) % 0.52/0.71 (step @p388 :rule refl :args (@t310)) % 0.52/0.71 (step @p389 :rule refl :args (@t311)) % 0.52/0.71 (step @p390 :rule eq-symm :args (@t306 tptp.nil)) % 0.52/0.71 (step @p391 :rule cong :premises (@p390) :args (@t329)) % 0.52/0.71 (step @p392 :rule nary_cong :premises (@p391 @p389) :args (@t330)) % 0.52/0.71 (step @p393 :rule refl :args (@t315)) % 0.52/0.71 (step @p394 :rule eq-symm :args (@t306 @t119)) % 0.52/0.71 (step @p395 :rule cong :premises (@p394) :args (@t331)) % 0.52/0.71 (step @p396 :rule nary_cong :premises (@p106 @p105 @p395 @p393) :args (@t332)) % 0.52/0.71 (step @p397 :rule cong :premises (@p396) :args (@t333)) % 0.52/0.71 (step @p398 :rule cong :premises (@p397) :args (@t334)) % 0.52/0.71 (step @p399 :rule refl :args (@t318)) % 0.52/0.71 (step @p400 :rule nary_cong :premises (@p399 @p398) :args (@t335)) % 0.52/0.71 (step @p401 :rule refl :args (@t320)) % 0.52/0.71 (step @p402 :rule nary_cong :premises (@p401 @p390) :args (@t336)) % 0.52/0.71 (step @p403 :rule nary_cong :premises (@p402 @p400) :args (@t337)) % 0.52/0.71 (step @p404 :rule refl :args (@t323)) % 0.52/0.71 (step @p405 :rule refl :args (@t324)) % 0.52/0.71 (step @p406 :rule nary_cong :premises (@p405 @p404 @p403 @p392 @p388) :args (@t338)) % 0.52/0.71 (step @p407 :rule cong :premises (@p406) :args (@t339)) % 0.52/0.71 (step @p408 :rule refl :args (@t327)) % 0.52/0.71 (step @p409 :rule cong :premises (@p408 @p407) :args ((=> @t327 @t339))) % 0.52/0.71 (assume-push @p472 @t327) % 0.52/0.71 (step @p411 :rule skolemize :premises (@p384)) % 0.52/0.71 (step-pop @p473 :rule scope :premises (@p411)) % 0.52/0.71 (step @p412 :rule process_scope :premises (@p473) :args (@t339)) % 0.52/0.71 (step @p414 :rule eq_resolve :premises (@p412 @p409)) % 0.52/0.71 (step @p415 :rule implies_elim :premises (@p414)) % 0.52/0.71 (step @p416 :rule eq_resolve :premises (@p415 @p387)) % 0.52/0.71 (step @p417 :rule chain_m_resolution :premises (@p416 @p384) :args (@t326 @t340 (@list @t298))) % 0.52/0.71 (step @p418 :rule cnf_or_neg :args (@t325 3)) % 0.52/0.71 (step @p419 :rule chain_m_resolution :premises (@p418 @p417) :args ((not @t314) @t340 @t341)) % 0.52/0.71 (step @p420 :rule bool-double-not-elim :args (@t300)) % 0.52/0.71 (step @p421 :rule refl :args (@t319)) % 0.52/0.71 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or @t319 (not @t318)))) % 0.52/0.71 (step @p423 :rule cnf_or_neg :args (@t319 0)) % 0.52/0.71 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 0.52/0.71 (step @p425 :rule reordering :premises (@p424) :args ((or @t300 @t319))) % 0.52/0.71 (step @p426 :rule bool-double-not-elim :args (@t316)) % 0.52/0.71 (step @p427 :rule nary_cong :premises (@p421 @p426) :args ((or @t319 (not @t317)))) % 0.52/0.71 (step @p428 :rule cnf_or_neg :args (@t319 1)) % 0.52/0.71 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 0.52/0.71 (step @p430 :rule reordering :premises (@p429) :args ((or @t316 @t319))) % 0.52/0.71 (step @p431 :rule cnf_or_neg :args (@t325 4)) % 0.52/0.71 (step @p432 :rule chain_m_resolution :premises (@p431 @p417) :args ((not @t310) @t340 @t341)) % 0.52/0.71 (step @p433 :rule cnf_and_neg :args (@t310)) % 0.52/0.71 (step @p434 :rule reordering :premises (@p433) :args ((or @t318 @t310 (not @t309)))) % 0.52/0.71 (step @p435 :rule eq-symm :args (@t304 @t299)) % 0.52/0.71 (step @p436 :rule cong :premises (@p435) :args (@t342)) % 0.52/0.71 (step @p437 :rule eq-symm :args (@t305 @t306)) % 0.52/0.71 (step @p438 :rule cong :premises (@p437) :args (@t343)) % 0.52/0.71 (step @p439 :rule refl :args (@t307)) % 0.52/0.71 (step @p440 :rule refl :args (@t308)) % 0.52/0.71 (step @p441 :rule nary_cong :premises (@p440 @p439 @p438 @p436) :args (@t344)) % 0.52/0.71 (step @p442 :rule refl :args (@t316)) % 0.52/0.71 (step @p443 :rule cong :premises (@p442 @p441) :args ((=> @t316 @t344))) % 0.52/0.71 (assume-push @p474 @t316) % 0.52/0.71 (step @p445 :rule instantiate :premises (@p474) :args ((@list @t301 @t303))) % 0.52/0.71 (step-pop @p475 :rule scope :premises (@p445)) % 0.52/0.71 (step @p446 :rule process_scope :premises (@p475) :args (@t344)) % 0.52/0.71 (step @p448 :rule eq_resolve :premises (@p446 @p443)) % 0.52/0.71 (step @p449 :rule implies_elim :premises (@p448)) % 0.52/0.71 (step @p450 :rule reordering :premises (@p449) :args ((or @t309 @t317))) % 0.52/0.71 (step @p451 :rule chain_m_resolution :premises (@p450 @p434 @p432 @p430 @p425) :args (@t319 (@list true true false false) (@list @t309 @t310 @t316 @t300))) % 0.52/0.71 (step @p452 :rule cnf_or_neg :args (@t325 2)) % 0.52/0.71 (step @p453 :rule chain_m_resolution :premises (@p452 @p417) :args ((not @t322) @t340 @t341)) % 0.52/0.71 (step @p454 :rule cnf_and_neg :args (@t322)) % 0.52/0.71 (step @p455 :rule chain_m_resolution :premises (@p454 @p453 @p451) :args ((not @t321) (@list true false) (@list @t322 @t319))) % 0.52/0.71 (step @p456 :rule bool-double-not-elim :args (@t311)) % 0.52/0.71 (step @p457 :rule refl :args (@t321)) % 0.52/0.71 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or @t321 (not @t320)))) % 0.52/0.71 (step @p459 :rule cnf_or_neg :args (@t321 0)) % 0.52/0.71 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 0.52/0.71 (step @p461 :rule reordering :premises (@p460) :args ((or @t311 @t321))) % 0.52/0.71 (step @p462 :rule chain_m_resolution :premises (@p461 @p455) :args (@t311 @t340 @t345)) % 0.52/0.71 (step @p463 :rule cnf_or_neg :args (@t321 1)) % 0.52/0.71 (step @p464 :rule chain_m_resolution :premises (@p463 @p455) :args (@t313 @t340 @t345)) % 0.52/0.71 (step @p465 :rule bool-double-not-elim :args (@t312)) % 0.52/0.71 (step @p466 :rule refl :args (@t314)) % 0.52/0.71 (step @p467 :rule nary_cong :premises (@p466 @p465 @p401) :args ((or @t314 (not @t313) @t320))) % 0.52/0.71 (step @p468 :rule cnf_and_neg :args (@t314)) % 0.52/0.71 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 0.52/0.71 (step @p470 :rule reordering :premises (@p469) :args ((or @t320 @t312 @t314))) % 0.52/0.71 (step @p471 false :rule chain_m_resolution :premises (@p470 @p464 @p462 @p419) :args (false (@list true false true) (@list @t312 @t311 @t314))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------