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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : RNG097+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 08:45:40 AM UTC 2026

% Result   : Theorem 36.96s 37.18s
% Output   : Proof 36.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG097+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n017.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 14:05:31 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 36.96/37.18  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 36.96/37.18  --- Run --no-e-matching --full-saturate-quant at 6...
% 36.96/37.18  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 36.96/37.18  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 36.96/37.18  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 36.96/37.18  % SZS status Theorem
% 36.96/37.18  % SZS output start Proof
% 36.96/37.18  (
% 36.96/37.18  (declare-sort $$unsorted 0)
% 36.96/37.18  (declare-const tptp.xw $$unsorted)
% 36.96/37.18  (declare-const tptp.xa $$unsorted)
% 36.96/37.18  (declare-const tptp.xb $$unsorted)
% 36.96/37.18  (declare-const tptp.xx $$unsorted)
% 36.96/37.18  (declare-const tptp.xy $$unsorted)
% 36.96/37.18  (declare-const tptp.xI $$unsorted)
% 36.96/37.18  (declare-const tptp.aElement0 (-> $$unsorted Bool))
% 36.96/37.18  (declare-const tptp.sz00 $$unsorted)
% 36.96/37.18  (declare-const tptp.sz10 $$unsorted)
% 36.96/37.18  (declare-const tptp.smndt0 (-> $$unsorted $$unsorted))
% 36.96/37.18  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 36.96/37.18  (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 36.96/37.18  (declare-const tptp.aIdeal0 (-> $$unsorted Bool))
% 36.96/37.18  (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 36.96/37.18  (declare-const tptp.xJ $$unsorted)
% 36.96/37.18  (declare-const tptp.aSet0 (-> $$unsorted Bool))
% 36.96/37.18  (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted))
% 36.96/37.18  (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool))
% 36.96/37.18  (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 36.96/37.18  (define @t1 () (@var "W0" $$unsorted))
% 36.96/37.18  (define @t2 () (tptp.aElement0 @t1))
% 36.96/37.18  (define @t3 () (@list @t1))
% 36.96/37.18  (define @t4 () (tptp.aElement0 tptp.sz00))
% 36.96/37.18  (define @t5 () (tptp.aElement0 tptp.sz10))
% 36.96/37.18  (define @t6 () (tptp.smndt0 @t1))
% 36.96/37.18  (define @t7 () (tptp.aElement0 @t6))
% 36.96/37.18  (define @t8 () (forall @t3 (=> @t2 @t7)))
% 36.96/37.18  (define @t9 () (@var "W1" $$unsorted))
% 36.96/37.18  (define @t10 () (tptp.sdtpldt0 @t1 @t9))
% 36.96/37.18  (define @t11 () (tptp.aElement0 @t9))
% 36.96/37.18  (define @t12 () (and @t2 @t11))
% 36.96/37.18  (define @t13 () (@list @t1 @t9))
% 36.96/37.18  (define @t14 () (tptp.sdtasdt0 @t1 @t9))
% 36.96/37.18  (define @t15 () (tptp.aElement0 @t14))
% 36.96/37.18  (define @t16 () (forall @t13 (=> @t12 @t15)))
% 36.96/37.18  (define @t17 () (= @t10 (tptp.sdtpldt0 @t9 @t1)))
% 36.96/37.18  (define @t18 () (forall @t13 (=> @t12 @t17)))
% 36.96/37.18  (define @t19 () (@var "W2" $$unsorted))
% 36.96/37.18  (define @t20 () (tptp.sdtpldt0 @t9 @t19))
% 36.96/37.18  (define @t21 () (= (tptp.sdtpldt0 @t10 @t19) (tptp.sdtpldt0 @t1 @t20)))
% 36.96/37.18  (define @t22 () (tptp.aElement0 @t19))
% 36.96/37.18  (define @t23 () (and @t2 @t11 @t22))
% 36.96/37.18  (define @t24 () (@list @t1 @t9 @t19))
% 36.96/37.18  (define @t25 () (forall @t24 (=> @t23 @t21)))
% 36.96/37.18  (define @t26 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))
% 36.96/37.18  (define @t27 () (tptp.sdtpldt0 @t1 tptp.sz00))
% 36.96/37.18  (define @t28 () (and (= @t27 @t1) @t26))
% 36.96/37.18  (define @t29 () (=> @t2 @t28))
% 36.96/37.18  (define @t30 () (forall @t3 @t29))
% 36.96/37.18  (define @t31 () (= tptp.sz00 (tptp.sdtpldt0 @t6 @t1)))
% 36.96/37.18  (define @t32 () (tptp.sdtpldt0 @t1 @t6))
% 36.96/37.18  (define @t33 () (and (= @t32 tptp.sz00) @t31))
% 36.96/37.18  (define @t34 () (=> @t2 @t33))
% 36.96/37.18  (define @t35 () (forall @t3 @t34))
% 36.96/37.18  (define @t36 () (tptp.sdtasdt0 @t9 @t1))
% 36.96/37.18  (define @t37 () (tptp.sdtasdt0 tptp.sz10 @t1))
% 36.96/37.18  (define @t38 () (= @t1 @t37))
% 36.96/37.18  (define @t39 () (tptp.sdtasdt0 @t1 tptp.sz10))
% 36.96/37.18  (define @t40 () (and (= @t39 @t1) @t38))
% 36.96/37.18  (define @t41 () (=> @t2 @t40))
% 36.96/37.18  (define @t42 () (forall @t3 @t41))
% 36.96/37.18  (define @t43 () (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t14 (tptp.sdtasdt0 @t1 @t19))) (= (tptp.sdtasdt0 @t20 @t1) (tptp.sdtpldt0 @t36 (tptp.sdtasdt0 @t19 @t1)))))
% 36.96/37.18  (define @t44 () (forall @t24 (=> @t23 @t43)))
% 36.96/37.18  (define @t45 () (tptp.smndt0 tptp.sz10))
% 36.96/37.18  (define @t46 () (tptp.sdtasdt0 @t1 @t45))
% 36.96/37.18  (define @t47 () (= @t6 @t46))
% 36.96/37.18  (define @t48 () (tptp.sdtasdt0 @t45 @t1))
% 36.96/37.18  (define @t49 () (and (= @t48 @t6) @t47))
% 36.96/37.18  (define @t50 () (=> @t2 @t49))
% 36.96/37.18  (define @t51 () (forall @t3 @t50))
% 36.96/37.18  (define @t52 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))
% 36.96/37.18  (define @t53 () (tptp.sdtasdt0 @t1 tptp.sz00))
% 36.96/37.18  (define @t54 () (and (= @t53 tptp.sz00) @t52))
% 36.96/37.18  (define @t55 () (=> @t2 @t54))
% 36.96/37.18  (define @t56 () (forall @t3 @t55))
% 36.96/37.18  (define @t57 () (tptp.aSet0 @t1))
% 36.96/37.18  (define @t58 () (tptp.aElementOf0 @t9 @t1))
% 36.96/37.18  (define @t59 () (@list @t9))
% 36.96/37.18  (define @t60 () (forall @t59 (=> @t58 @t11)))
% 36.96/37.18  (define @t61 () (=> @t57 @t60))
% 36.96/37.18  (define @t62 () (forall @t3 @t61))
% 36.96/37.18  (define @t63 () (tptp.aElementOf0 @t19 @t1))
% 36.96/37.18  (define @t64 () (tptp.aElementOf0 @t19 @t9))
% 36.96/37.18  (define @t65 () (@list @t19))
% 36.96/37.18  (define @t66 () (and @t57 (tptp.aSet0 @t9)))
% 36.96/37.18  (define @t67 () (@var "W3" $$unsorted))
% 36.96/37.18  (define @t68 () (@var "W5" $$unsorted))
% 36.96/37.18  (define @t69 () (@var "W4" $$unsorted))
% 36.96/37.18  (define @t70 () (tptp.aElementOf0 @t67 @t19))
% 36.96/37.18  (define @t71 () (@list @t67))
% 36.96/37.18  (define @t72 () (tptp.aSet0 @t19))
% 36.96/37.18  (define @t73 () (tptp.sdtpldt1 @t1 @t9))
% 36.96/37.18  (define @t74 () (tptp.sdtasasdt0 @t1 @t9))
% 36.96/37.18  (define @t75 () (tptp.aElementOf0 (tptp.sdtasdt0 @t19 @t9) @t1))
% 36.96/37.18  (define @t76 () (forall @t65 (=> @t22 @t75)))
% 36.96/37.18  (define @t77 () (tptp.aElementOf0 @t20 @t1))
% 36.96/37.18  (define @t78 () (forall @t65 (=> @t63 @t77)))
% 36.96/37.18  (define @t79 () (and @t78 @t76))
% 36.96/37.18  (define @t80 () (=> @t58 @t79))
% 36.96/37.18  (define @t81 () (forall @t59 @t80))
% 36.96/37.18  (define @t82 () (and @t57 @t81))
% 36.96/37.18  (define @t83 () (tptp.aIdeal0 @t1))
% 36.96/37.18  (define @t84 () (= @t83 @t82))
% 36.96/37.18  (define @t85 () (forall @t3 @t84))
% 36.96/37.18  (define @t86 () (and @t83 (tptp.aIdeal0 @t9)))
% 36.96/37.18  (define @t87 () (tptp.aIdeal0 tptp.xJ))
% 36.96/37.18  (define @t88 () (tptp.aIdeal0 tptp.xI))
% 36.96/37.18  (define @t89 () (tptp.aElement0 tptp.xx))
% 36.96/37.18  (define @t90 () (tptp.sdtpldt0 tptp.xa tptp.xb))
% 36.96/37.18  (define @t91 () (tptp.aElementOf0 tptp.xb tptp.xJ))
% 36.96/37.18  (define @t92 () (tptp.aElementOf0 tptp.xa tptp.xI))
% 36.96/37.18  (define @t93 () (tptp.sdtasdt0 tptp.xx tptp.xb))
% 36.96/37.18  (define @t94 () (tptp.sdtasdt0 tptp.xy tptp.xa))
% 36.96/37.18  (define @t95 () (tptp.smndt0 tptp.xx))
% 36.96/37.18  (define @t96 () (tptp.sdtpldt0 tptp.xb @t45))
% 36.96/37.18  (define @t97 () (tptp.sdtasdt0 tptp.xx @t96))
% 36.96/37.18  (define @t98 () (tptp.aElementOf0 @t97 tptp.xI))
% 36.96/37.18  (define @t99 () (not @t98))
% 36.96/37.18  (define @t100 () (@var "BOUND_VARIABLE_7854" $$unsorted))
% 36.96/37.18  (define @t101 () (tptp.sdtasdt0 @t100 @t9))
% 36.96/37.18  (define @t102 () (not (tptp.aElement0 @t100)))
% 36.96/37.18  (define @t103 () (or @t102 (tptp.aElementOf0 @t101 @t1)))
% 36.96/37.18  (define @t104 () (@var "BOUND_VARIABLE_7847" $$unsorted))
% 36.96/37.18  (define @t105 () (tptp.sdtpldt0 @t9 @t104))
% 36.96/37.18  (define @t106 () (or (not (tptp.aElementOf0 @t104 @t1)) (tptp.aElementOf0 @t105 @t1)))
% 36.96/37.18  (define @t107 () (and @t106 @t103))
% 36.96/37.18  (define @t108 () (not @t58))
% 36.96/37.18  (define @t109 () (or @t108 @t107))
% 36.96/37.18  (define @t110 () (@list @t9 @t104 @t100))
% 36.96/37.18  (define @t111 () (@list @t104 @t100))
% 36.96/37.18  (define @t112 () (forall @t111 @t109))
% 36.96/37.18  (define @t113 () (forall (@list @t100) @t103))
% 36.96/37.18  (define @t114 () (@list @t19))
% 36.96/37.18  (define @t115 () (forall @t111 @t103))
% 36.96/37.18  (define @t116 () (forall (@list @t104) @t106))
% 36.96/37.18  (define @t117 () (forall @t111 @t106))
% 36.96/37.18  (define @t118 () (and @t117 @t115))
% 36.96/37.18  (define @t119 () (forall @t111 @t107))
% 36.96/37.18  (define @t120 () (or @t108 @t119))
% 36.96/37.18  (define @t121 () (not @t22))
% 36.96/37.18  (define @t122 () (and (forall @t65 (or (not @t63) @t77)) (forall @t65 (or @t121 @t75))))
% 36.96/37.18  (define @t123 () (forall @t110 (or (not (tptp.aElementOf0 @t9 tptp.xI)) (and (or (not (tptp.aElementOf0 @t104 tptp.xI)) (tptp.aElementOf0 @t105 tptp.xI)) (or @t102 (tptp.aElementOf0 @t101 tptp.xI))))))
% 36.96/37.18  (define @t124 () (tptp.aSet0 tptp.xI))
% 36.96/37.18  (define @t125 () (and @t124 @t123))
% 36.96/37.18  (define @t126 () (= @t88 @t125))
% 36.96/37.18  (define @t127 () (@list false false))
% 36.96/37.18  (define @t128 () (not @t125))
% 36.96/37.18  (define @t129 () (@list false))
% 36.96/37.18  (define @t130 () (@list @t125))
% 36.96/37.18  (define @t131 () (tptp.smndt0 @t90))
% 36.96/37.18  (define @t132 () (tptp.sdtpldt0 @t131 tptp.xb))
% 36.96/37.18  (define @t133 () (tptp.sdtasdt0 @t131 tptp.xa))
% 36.96/37.18  (define @t134 () (tptp.aElementOf0 @t133 tptp.xI))
% 36.96/37.18  (define @t135 () (tptp.aElement0 @t131))
% 36.96/37.18  (define @t136 () (not @t135))
% 36.96/37.18  (define @t137 () (or @t136 @t134))
% 36.96/37.18  (define @t138 () (not @t92))
% 36.96/37.18  (define @t139 () (and (or @t138 (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xa tptp.xa) tptp.xI)) @t137))
% 36.96/37.18  (define @t140 () (or @t138 @t139))
% 36.96/37.18  (define @t141 () (@list @t90))
% 36.96/37.18  (define @t142 () (tptp.aElement0 @t90))
% 36.96/37.18  (define @t143 () (not @t142))
% 36.96/37.18  (define @t144 () (or @t143 @t135))
% 36.96/37.18  (define @t145 () (= @t6 @t48))
% 36.96/37.18  (define @t146 () (and @t145 @t47))
% 36.96/37.18  (define @t147 () (not @t2))
% 36.96/37.18  (define @t148 () (or @t147 @t146))
% 36.96/37.18  (define @t149 () (@list tptp.xa))
% 36.96/37.18  (define @t150 () (@var "BOUND_VARIABLE_7742" $$unsorted))
% 36.96/37.18  (define @t151 () (tptp.aElement0 @t150))
% 36.96/37.18  (define @t152 () (not (tptp.aElementOf0 @t150 @t1)))
% 36.96/37.18  (define @t153 () (not @t57))
% 36.96/37.18  (define @t154 () (or @t152 @t151))
% 36.96/37.18  (define @t155 () (or @t153 @t154))
% 36.96/37.18  (define @t156 () (forall (@list @t1 @t150) @t155))
% 36.96/37.18  (define @t157 () (@list @t150))
% 36.96/37.18  (define @t158 () (forall @t157 @t155))
% 36.96/37.18  (define @t159 () (forall @t157 @t154))
% 36.96/37.18  (define @t160 () (or @t153 @t159))
% 36.96/37.18  (define @t161 () (forall @t59 (or @t108 @t11)))
% 36.96/37.18  (define @t162 () (tptp.aElement0 tptp.xa))
% 36.96/37.18  (define @t163 () (not @t124))
% 36.96/37.18  (define @t164 () (or @t163 @t138 @t162))
% 36.96/37.18  (define @t165 () (@list false false false))
% 36.96/37.18  (define @t166 () (tptp.sdtasdt0 tptp.xa @t131))
% 36.96/37.18  (define @t167 () (tptp.smndt0 tptp.xa))
% 36.96/37.18  (define @t168 () (= @t167 @t166))
% 36.96/37.18  (define @t169 () (= @t167 @t133))
% 36.96/37.18  (define @t170 () (and @t169 @t168))
% 36.96/37.18  (define @t171 () (not @t162))
% 36.96/37.18  (define @t172 () (or @t171 @t170))
% 36.96/37.18  (define @t173 () (not @t170))
% 36.96/37.18  (define @t174 () (@list @t170))
% 36.96/37.18  (define @t175 () (and (= @t1 @t27) @t26))
% 36.96/37.18  (define @t176 () (tptp.sdtpldt0 tptp.sz00 tptp.xa))
% 36.96/37.18  (define @t177 () (= tptp.xa @t176))
% 36.96/37.18  (define @t178 () (and (= tptp.xa (tptp.sdtpldt0 tptp.xa tptp.sz00)) @t177))
% 36.96/37.18  (define @t179 () (or @t171 @t178))
% 36.96/37.18  (define @t180 () (tptp.sdtasdt0 @t131 @t176))
% 36.96/37.18  (define @t181 () (not @t11))
% 36.96/37.18  (define @t182 () (or @t147 @t181 @t121))
% 36.96/37.18  (define @t183 () (not @t23))
% 36.96/37.18  (define @t184 () (tptp.sdtasdt0 tptp.sz00 @t131))
% 36.96/37.18  (define @t185 () (tptp.sdtasdt0 @t131 tptp.sz00))
% 36.96/37.18  (define @t186 () (tptp.sdtpldt0 @t185 @t133))
% 36.96/37.18  (define @t187 () (= @t180 @t186))
% 36.96/37.18  (define @t188 () (and @t187 (= (tptp.sdtasdt0 @t176 @t131) (tptp.sdtpldt0 @t184 @t166))))
% 36.96/37.18  (define @t189 () (not @t4))
% 36.96/37.18  (define @t190 () (or @t136 @t189 @t171 @t188))
% 36.96/37.18  (define @t191 () (@list false false false false))
% 36.96/37.18  (define @t192 () (and (= tptp.sz00 @t53) @t52))
% 36.96/37.18  (define @t193 () (= tptp.sz00 @t185))
% 36.96/37.18  (define @t194 () (and @t193 (= tptp.sz00 @t184)))
% 36.96/37.18  (define @t195 () (or @t136 @t194))
% 36.96/37.18  (define @t196 () (and (= tptp.sz00 @t32) @t31))
% 36.96/37.18  (define @t197 () (@list tptp.xb))
% 36.96/37.18  (define @t198 () (tptp.aSet0 tptp.xJ))
% 36.96/37.18  (define @t199 () (and @t198 (forall @t110 (or (not (tptp.aElementOf0 @t9 tptp.xJ)) (and (or (not (tptp.aElementOf0 @t104 tptp.xJ)) (tptp.aElementOf0 @t105 tptp.xJ)) (or @t102 (tptp.aElementOf0 @t101 tptp.xJ)))))))
% 36.96/37.18  (define @t200 () (= @t87 @t199))
% 36.96/37.18  (define @t201 () (tptp.aElement0 tptp.xb))
% 36.96/37.18  (define @t202 () (not @t91))
% 36.96/37.18  (define @t203 () (not @t198))
% 36.96/37.18  (define @t204 () (or @t203 @t202 @t201))
% 36.96/37.18  (define @t205 () (tptp.smndt0 tptp.xb))
% 36.96/37.18  (define @t206 () (tptp.sdtpldt0 tptp.xb @t205))
% 36.96/37.18  (define @t207 () (= tptp.sz00 @t206))
% 36.96/37.18  (define @t208 () (and @t207 (= tptp.sz00 (tptp.sdtpldt0 @t205 tptp.xb))))
% 36.96/37.18  (define @t209 () (not @t201))
% 36.96/37.18  (define @t210 () (or @t209 @t208))
% 36.96/37.18  (define @t211 () (tptp.sdtasdt0 tptp.xb @t131))
% 36.96/37.18  (define @t212 () (= @t205 @t211))
% 36.96/37.18  (define @t213 () (tptp.sdtasdt0 @t131 tptp.xb))
% 36.96/37.18  (define @t214 () (and (= @t205 @t213) @t212))
% 36.96/37.18  (define @t215 () (or @t209 @t214))
% 36.96/37.18  (define @t216 () (tptp.sdtpldt0 tptp.xb @t211))
% 36.96/37.18  (define @t217 () (tptp.sdtpldt0 @t216 @t166))
% 36.96/37.18  (define @t218 () (or @t147 @t181))
% 36.96/37.18  (define @t219 () (not @t12))
% 36.96/37.18  (define @t220 () (tptp.aElement0 @t166))
% 36.96/37.18  (define @t221 () (or @t171 @t136 @t220))
% 36.96/37.18  (define @t222 () (@list tptp.xb @t131))
% 36.96/37.18  (define @t223 () (tptp.aElement0 @t211))
% 36.96/37.18  (define @t224 () (or @t209 @t136 @t223))
% 36.96/37.18  (define @t225 () (tptp.sdtpldt0 @t211 @t166))
% 36.96/37.18  (define @t226 () (tptp.sdtpldt0 tptp.xb @t225))
% 36.96/37.18  (define @t227 () (= @t217 @t226))
% 36.96/37.18  (define @t228 () (not @t220))
% 36.96/37.18  (define @t229 () (not @t223))
% 36.96/37.18  (define @t230 () (or @t209 @t229 @t228 @t227))
% 36.96/37.18  (define @t231 () (tptp.sdtpldt0 tptp.xb tptp.xa))
% 36.96/37.18  (define @t232 () (tptp.sdtasdt0 @t231 @t131))
% 36.96/37.18  (define @t233 () (= @t232 @t225))
% 36.96/37.18  (define @t234 () (and (= (tptp.sdtasdt0 @t131 @t231) (tptp.sdtpldt0 @t213 @t133)) @t233))
% 36.96/37.18  (define @t235 () (or @t136 @t209 @t171 @t234))
% 36.96/37.18  (define @t236 () (= @t90 @t231))
% 36.96/37.18  (define @t237 () (or @t171 @t209 @t236))
% 36.96/37.18  (define @t238 () (tptp.sdtasdt0 @t90 @t131))
% 36.96/37.18  (define @t239 () (= @t131 @t238))
% 36.96/37.18  (define @t240 () (and (= @t131 (tptp.sdtasdt0 @t131 @t90)) @t239))
% 36.96/37.18  (define @t241 () (or @t143 @t240))
% 36.96/37.18  (define @t242 () (tptp.sdtpldt0 tptp.xb @t131))
% 36.96/37.18  (define @t243 () (= @t242 @t132))
% 36.96/37.18  (define @t244 () (or @t209 @t136 @t243))
% 36.96/37.18  (define @t245 () (tptp.aElementOf0 @t132 tptp.xI))
% 36.96/37.18  (define @t246 () (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xx @t132) tptp.xI))
% 36.96/37.18  (define @t247 () (not @t89))
% 36.96/37.18  (define @t248 () (or @t247 @t246))
% 36.96/37.18  (define @t249 () (and (or @t138 (tptp.aElementOf0 (tptp.sdtpldt0 @t132 tptp.xa) tptp.xI)) @t248))
% 36.96/37.18  (define @t250 () (not @t245))
% 36.96/37.18  (define @t251 () (or @t250 @t249))
% 36.96/37.18  (define @t252 () (= @t1 @t39))
% 36.96/37.18  (define @t253 () (and @t252 @t38))
% 36.96/37.18  (define @t254 () (or @t147 @t253))
% 36.96/37.18  (define @t255 () (tptp.sdtasdt0 @t90 tptp.xx))
% 36.96/37.18  (define @t256 () (= tptp.xx @t255))
% 36.96/37.18  (define @t257 () (tptp.sdtasdt0 tptp.xx @t90))
% 36.96/37.18  (define @t258 () (and (= tptp.xx @t257) @t256))
% 36.96/37.18  (define @t259 () (or @t247 @t258))
% 36.96/37.18  (define @t260 () (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xa tptp.xx) (tptp.sdtasdt0 tptp.xb tptp.xx)))
% 36.96/37.18  (define @t261 () (= @t255 @t260))
% 36.96/37.18  (define @t262 () (and (= @t257 (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xx tptp.xa) @t93)) @t261))
% 36.96/37.18  (define @t263 () (or @t247 @t171 @t209 @t262))
% 36.96/37.18  (define @t264 () (tptp.sdtasdt0 tptp.xx @t242))
% 36.96/37.18  (assume @p1 (forall @t3 (=> @t2 true)))
% 36.96/37.18  (assume @p2 @t4)
% 36.96/37.18  (assume @p3 @t5)
% 36.96/37.18  (assume @p4 @t8)
% 36.96/37.18  (assume @p5 (forall @t13 (=> @t12 (tptp.aElement0 @t10))))
% 36.96/37.18  (assume @p6 @t16)
% 36.96/37.18  (assume @p7 @t18)
% 36.96/37.18  (assume @p8 @t25)
% 36.96/37.18  (assume @p9 @t30)
% 36.96/37.18  (assume @p10 @t35)
% 36.96/37.18  (assume @p11 (forall @t13 (=> @t12 (= @t14 @t36))))
% 36.96/37.18  (assume @p12 (forall @t24 (=> @t23 (= (tptp.sdtasdt0 @t14 @t19) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t9 @t19))))))
% 36.96/37.18  (assume @p13 @t42)
% 36.96/37.18  (assume @p14 @t44)
% 36.96/37.18  (assume @p15 @t51)
% 36.96/37.18  (assume @p16 @t56)
% 36.96/37.18  (assume @p17 (forall @t13 (=> @t12 (=> (= @t14 tptp.sz00) (or (= @t1 tptp.sz00) (= @t9 tptp.sz00))))))
% 36.96/37.18  (assume @p18 (not (= tptp.sz10 tptp.sz00)))
% 36.96/37.18  (assume @p19 (forall @t3 (=> @t57 true)))
% 36.96/37.18  (assume @p20 @t62)
% 36.96/37.18  (assume @p21 (forall @t13 (=> @t66 (=> (and (forall @t65 (=> @t63 @t64)) (forall @t65 (=> @t64 @t63))) (= @t1 @t9)))))
% 36.96/37.18  (assume @p22 (forall @t13 (=> @t66 (forall @t65 (= (= @t19 @t73) (and @t72 (forall @t71 (= @t70 (exists (@list @t69 @t68) (and (tptp.aElementOf0 @t69 @t1) (tptp.aElementOf0 @t68 @t9) (= (tptp.sdtpldt0 @t69 @t68) @t67)))))))))))
% 36.96/37.18  (assume @p23 (forall @t13 (=> @t66 (forall @t65 (= (= @t19 @t74) (and @t72 (forall @t71 (= @t70 (and (tptp.aElementOf0 @t67 @t1) (tptp.aElementOf0 @t67 @t9))))))))))
% 36.96/37.18  (assume @p24 @t85)
% 36.96/37.18  (assume @p25 (forall @t13 (=> @t86 (tptp.aIdeal0 @t73))))
% 36.96/37.18  (assume @p26 (forall @t13 (=> @t86 (tptp.aIdeal0 @t74))))
% 36.96/37.18  (assume @p27 (forall @t24 (=> (and @t2 @t11 (tptp.aIdeal0 @t19)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t9 @t19) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t9)) @t19)))))
% 36.96/37.18  (assume @p28 (and @t88 @t87))
% 36.96/37.18  (assume @p29 (forall @t3 (=> @t2 (tptp.aElementOf0 @t1 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))
% 36.96/37.18  (assume @p30 (and @t89 (tptp.aElement0 tptp.xy)))
% 36.96/37.18  (assume @p31 (and @t92 @t91 (= @t90 tptp.sz10)))
% 36.96/37.18  (assume @p32 (= tptp.xw (tptp.sdtpldt0 @t94 @t93)))
% 36.96/37.18  (assume @p33 (= (tptp.sdtpldt0 tptp.xw @t95) (tptp.sdtpldt0 @t94 (tptp.sdtpldt0 @t93 @t95))))
% 36.96/37.18  (assume @p34 @t99)
% 36.96/37.18  (assume @p35 true)
% 36.96/37.18  (step @p36 :rule evaluate :args ((= false true)))
% 36.96/37.18  (step @p37 :rule quant-merge-prenex :args ((= (forall @t59 @t112) (forall @t110 @t109))))
% 36.96/37.18  (step @p38 :rule alpha_equiv :args (@t113 (@list @t100) @t114))
% 36.96/37.18  (step @p39 :rule quant-unused-vars :args ((= @t115 @t113)))
% 36.96/37.18  (step @p40 :rule trans :premises (@p39 @p38))
% 36.96/37.18  (step @p41 :rule alpha_equiv :args (@t116 (@list @t104) @t114))
% 36.96/37.18  (step @p42 :rule quant-unused-vars :args ((= @t117 @t116)))
% 36.96/37.18  (step @p43 :rule trans :premises (@p42 @p41))
% 36.96/37.18  (step @p44 :rule nary_cong :premises (@p43 @p40) :args (@t118))
% 36.96/37.18  (step @p45 :rule quant-miniscope-and :args ((= @t119 @t118)))
% 36.96/37.18  (step @p46 :rule trans :premises (@p45 @p44))
% 36.96/37.18  (step @p47 :rule refl :args (@t108))
% 36.96/37.18  (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t120))
% 36.96/37.18  (step @p49 :rule quant-miniscope-or :args ((= @t112 @t120)))
% 36.96/37.18  (step @p50 :rule trans :premises (@p49 @p48))
% 36.96/37.18  (step @p51 :rule symm :premises (@p50))
% 36.96/37.18  (step @p52 :rule cong :premises (@p51) :args ((forall @t59 (or @t108 @t122))))
% 36.96/37.18  (step @p53 :rule trans :premises (@p52 @p37))
% 36.96/37.18  (step @p54 :rule bool-impl-elim :args (@t58 @t122))
% 36.96/37.18  (step @p55 :rule cong :premises (@p54) :args ((forall @t59 (=> @t58 @t122))))
% 36.96/37.18  (step @p56 :rule trans :premises (@p55 @p53))
% 36.96/37.18  (step @p57 :rule bool-impl-elim :args (@t22 @t75))
% 36.96/37.18  (step @p58 :rule cong :premises (@p57) :args (@t76))
% 36.96/37.18  (step @p59 :rule bool-impl-elim :args (@t63 @t77))
% 36.96/37.18  (step @p60 :rule cong :premises (@p59) :args (@t78))
% 36.96/37.18  (step @p61 :rule nary_cong :premises (@p60 @p58) :args (@t79))
% 36.96/37.18  (step @p62 :rule refl :args (@t58))
% 36.96/37.18  (step @p63 :rule cong :premises (@p62 @p61) :args (@t80))
% 36.96/37.18  (step @p64 :rule cong :premises (@p63) :args (@t81))
% 36.96/37.18  (step @p65 :rule trans :premises (@p64 @p56))
% 36.96/37.18  (step @p66 :rule refl :args (@t57))
% 36.96/37.18  (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t82))
% 36.96/37.18  (step @p68 :rule refl :args (@t83))
% 36.96/37.18  (step @p69 :rule cong :premises (@p68 @p67) :args (@t84))
% 36.96/37.18  (step @p70 :rule cong :premises (@p69) :args (@t85))
% 36.96/37.18  (step @p71 :rule eq_resolve :premises (@p24 @p70))
% 36.96/37.18  (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.xI)))
% 36.96/37.18  (step @p73 :rule and_elim :premises (@p28) :args (0))
% 36.96/37.18  (step @p74 :rule cnf_equiv_pos1 :args (@t126))
% 36.96/37.18  (step @p75 :rule reordering :premises (@p74) :args ((or (not @t88) @t125 (not @t126))))
% 36.96/37.18  (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72) :args (@t125 @t127 (@list @t88 @t126)))
% 36.96/37.18  (step @p77 :rule cnf_and_pos :args (@t125 1))
% 36.96/37.18  (step @p78 :rule reordering :premises (@p77) :args ((or @t123 @t128)))
% 36.96/37.18  (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t123 @t129 @t130))
% 36.96/37.18  (step @p80 :rule instantiate :premises (@p79) :args ((@list @t132 tptp.xa tptp.xx)))
% 36.96/37.18  (step @p81 :rule instantiate :premises (@p79) :args ((@list tptp.xa tptp.xa @t131)))
% 36.96/37.18  (step @p82 :rule and_elim :premises (@p31) :args (0))
% 36.96/37.18  (step @p83 :rule cnf_or_pos :args (@t140))
% 36.96/37.18  (step @p84 :rule reordering :premises (@p83) :args ((or @t138 @t139 (not @t140))))
% 36.96/37.18  (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p81) :args (@t139 @t127 (@list @t92 @t140)))
% 36.96/37.18  (step @p86 :rule cnf_and_pos :args (@t139 1))
% 36.96/37.18  (step @p87 :rule reordering :premises (@p86) :args ((or @t137 (not @t139))))
% 36.96/37.18  (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t137 @t129 (@list @t139)))
% 36.96/37.18  (step @p89 :rule bool-impl-elim :args (@t2 @t7))
% 36.96/37.18  (step @p90 :rule cong :premises (@p89) :args (@t8))
% 36.96/37.18  (step @p91 :rule eq_resolve :premises (@p4 @p90))
% 36.96/37.18  (step @p92 :rule instantiate :premises (@p91) :args (@t141))
% 36.96/37.18  (step @p93 :rule and_elim :premises (@p31) :args (2))
% 36.96/37.18  (step @p94 :rule symm :premises (@p93))
% 36.96/37.18  (step @p95 :rule cong :premises (@p94) :args (@t5))
% 36.96/37.18  (step @p96 :rule eq_resolve :premises (@p3 @p95))
% 36.96/37.18  (step @p97 :rule cnf_or_pos :args (@t144))
% 36.96/37.18  (step @p98 :rule reordering :premises (@p97) :args ((or @t143 @t135 (not @t144))))
% 36.96/37.18  (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p92) :args (@t135 @t127 (@list @t142 @t144)))
% 36.96/37.18  (step @p100 :rule cnf_or_pos :args (@t137))
% 36.96/37.18  (step @p101 :rule reordering :premises (@p100) :args ((or @t136 @t134 (not @t137))))
% 36.96/37.18  (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p88) :args (@t134 @t127 (@list @t135 @t137)))
% 36.96/37.18  (step @p103 :rule true_intro :premises (@p102))
% 36.96/37.18  (step @p104 :rule refl :args (tptp.xI))
% 36.96/37.18  (step @p105 :rule cong :premises (@p94) :args (@t45))
% 36.96/37.18  (step @p106 :rule refl :args (@t1))
% 36.96/37.18  (step @p107 :rule cong :premises (@p106 @p105) :args (@t46))
% 36.96/37.18  (step @p108 :rule refl :args (@t6))
% 36.96/37.18  (step @p109 :rule cong :premises (@p108 @p107) :args (@t47))
% 36.96/37.18  (step @p110 :rule cong :premises (@p105 @p106) :args (@t48))
% 36.96/37.18  (step @p111 :rule cong :premises (@p108 @p110) :args (@t145))
% 36.96/37.18  (step @p112 :rule nary_cong :premises (@p111 @p109) :args (@t146))
% 36.96/37.18  (step @p113 :rule refl :args (@t147))
% 36.96/37.18  (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t148))
% 36.96/37.18  (step @p115 :rule cong :premises (@p114) :args ((forall @t3 @t148)))
% 36.96/37.18  (step @p116 :rule bool-impl-elim :args (@t2 @t146))
% 36.96/37.18  (step @p117 :rule cong :premises (@p116) :args ((forall @t3 (=> @t2 @t146))))
% 36.96/37.18  (step @p118 :rule refl :args (@t47))
% 36.96/37.18  (step @p119 :rule eq-symm :args (@t48 @t6))
% 36.96/37.18  (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t49))
% 36.96/37.18  (step @p121 :rule refl :args (@t2))
% 36.96/37.18  (step @p122 :rule cong :premises (@p121 @p120) :args (@t50))
% 36.96/37.18  (step @p123 :rule cong :premises (@p122) :args (@t51))
% 36.96/37.18  (step @p124 :rule trans :premises (@p123 @p117))
% 36.96/37.18  (step @p125 :rule trans :premises (@p124 @p115))
% 36.96/37.18  (step @p126 :rule eq_resolve :premises (@p15 @p125))
% 36.96/37.18  (step @p127 :rule instantiate :premises (@p126) :args (@t149))
% 36.96/37.18  (step @p128 :rule aci_norm :args ((= @t155 (or @t153 @t152 @t151))))
% 36.96/37.18  (step @p129 :rule cong :premises (@p128) :args (@t156))
% 36.96/37.18  (step @p130 :rule quant-merge-prenex :args ((= (forall @t3 @t158) @t156)))
% 36.96/37.18  (step @p131 :rule alpha_equiv :args (@t159 (@list @t150) (@list @t9)))
% 36.96/37.18  (step @p132 :rule refl :args (@t153))
% 36.96/37.18  (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t160))
% 36.96/37.18  (step @p134 :rule quant-miniscope-or :args ((= @t158 @t160)))
% 36.96/37.18  (step @p135 :rule trans :premises (@p134 @p133))
% 36.96/37.18  (step @p136 :rule symm :premises (@p135))
% 36.96/37.18  (step @p137 :rule cong :premises (@p136) :args ((forall @t3 (or @t153 @t161))))
% 36.96/37.18  (step @p138 :rule trans :premises (@p137 @p130))
% 36.96/37.18  (step @p139 :rule trans :premises (@p138 @p129))
% 36.96/37.18  (step @p140 :rule bool-impl-elim :args (@t57 @t161))
% 36.96/37.18  (step @p141 :rule cong :premises (@p140) :args ((forall @t3 (=> @t57 @t161))))
% 36.96/37.18  (step @p142 :rule trans :premises (@p141 @p139))
% 36.96/37.18  (step @p143 :rule bool-impl-elim :args (@t58 @t11))
% 36.96/37.18  (step @p144 :rule cong :premises (@p143) :args (@t60))
% 36.96/37.18  (step @p145 :rule cong :premises (@p66 @p144) :args (@t61))
% 36.96/37.18  (step @p146 :rule cong :premises (@p145) :args (@t62))
% 36.96/37.18  (step @p147 :rule trans :premises (@p146 @p142))
% 36.96/37.18  (step @p148 :rule eq_resolve :premises (@p20 @p147))
% 36.96/37.18  (step @p149 :rule instantiate :premises (@p148) :args ((@list tptp.xI tptp.xa)))
% 36.96/37.18  (step @p150 :rule cnf_and_pos :args (@t125 0))
% 36.96/37.18  (step @p151 :rule reordering :premises (@p150) :args ((or @t124 @t128)))
% 36.96/37.18  (step @p152 :rule chain_m_resolution :premises (@p151 @p76) :args (@t124 @t129 @t130))
% 36.96/37.18  (step @p153 :rule cnf_or_pos :args (@t164))
% 36.96/37.18  (step @p154 :rule reordering :premises (@p153) :args ((or @t138 @t162 @t163 (not @t164))))
% 36.96/37.18  (step @p155 :rule chain_m_resolution :premises (@p154 @p82 @p152 @p149) :args (@t162 @t165 (@list @t92 @t124 @t164)))
% 36.96/37.18  (step @p156 :rule cnf_or_pos :args (@t172))
% 36.96/37.18  (step @p157 :rule reordering :premises (@p156) :args ((or @t171 @t170 (not @t172))))
% 36.96/37.18  (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p127) :args (@t170 @t127 (@list @t162 @t172)))
% 36.96/37.18  (step @p159 :rule cnf_and_pos :args (@t170 0))
% 36.96/37.18  (step @p160 :rule reordering :premises (@p159) :args ((or @t169 @t173)))
% 36.96/37.18  (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t169 @t129 @t174))
% 36.96/37.18  (step @p162 :rule cnf_and_pos :args (@t170 1))
% 36.96/37.18  (step @p163 :rule reordering :premises (@p162) :args ((or @t168 @t173)))
% 36.96/37.18  (step @p164 :rule chain_m_resolution :premises (@p163 @p158) :args (@t168 @t129 @t174))
% 36.96/37.18  (step @p165 :rule symm :premises (@p164))
% 36.96/37.18  (step @p166 :rule trans :premises (@p165 @p161))
% 36.96/37.18  (step @p167 :rule symm :premises (@p161))
% 36.96/37.18  (step @p168 :rule bool-impl-elim :args (@t2 @t175))
% 36.96/37.18  (step @p169 :rule cong :premises (@p168) :args ((forall @t3 (=> @t2 @t175))))
% 36.96/37.18  (step @p170 :rule refl :args (@t26))
% 36.96/37.18  (step @p171 :rule eq-symm :args (@t27 @t1))
% 36.96/37.18  (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t28))
% 36.96/37.18  (step @p173 :rule cong :premises (@p121 @p172) :args (@t29))
% 36.96/37.18  (step @p174 :rule cong :premises (@p173) :args (@t30))
% 36.96/37.18  (step @p175 :rule trans :premises (@p174 @p169))
% 36.96/37.18  (step @p176 :rule eq_resolve :premises (@p9 @p175))
% 36.96/37.18  (step @p177 :rule instantiate :premises (@p176) :args (@t149))
% 36.96/37.18  (step @p178 :rule cnf_or_pos :args (@t179))
% 36.96/37.18  (step @p179 :rule reordering :premises (@p178) :args ((or @t171 @t178 (not @t179))))
% 36.96/37.18  (step @p180 :rule chain_m_resolution :premises (@p179 @p155 @p177) :args (@t178 @t127 (@list @t162 @t179)))
% 36.96/37.18  (step @p181 :rule cnf_and_pos :args (@t178 1))
% 36.96/37.18  (step @p182 :rule reordering :premises (@p181) :args ((or @t177 (not @t178))))
% 36.96/37.18  (step @p183 :rule chain_m_resolution :premises (@p182 @p180) :args (@t177 @t129 (@list @t178)))
% 36.96/37.18  (step @p184 :rule symm :premises (@p183))
% 36.96/37.18  (step @p185 :rule refl :args (@t131))
% 36.96/37.18  (step @p186 :rule cong :premises (@p185 @p184) :args (@t180))
% 36.96/37.18  (step @p187 :rule aci_norm :args ((= (or @t182 @t43) (or @t147 @t181 @t121 @t43))))
% 36.96/37.18  (step @p188 :rule refl :args (@t43))
% 36.96/37.18  (step @p189 :rule aci_norm :args ((= (or @t147 (or @t181 @t121)) @t182)))
% 36.96/37.18  (step @p190 :rule bool-and-de-morgan :args (@t11 @t22 true))
% 36.96/37.18  (step @p191 :rule refl :args (@t147))
% 36.96/37.18  (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t147 (not (and @t11 @t22)))))
% 36.96/37.18  (step @p193 :rule bool-and-de-morgan :args (@t2 @t11 (and @t22)))
% 36.96/37.18  (step @p194 :rule trans :premises (@p193 @p192))
% 36.96/37.18  (step @p195 :rule trans :premises (@p194 @p189))
% 36.96/37.18  (step @p196 :rule nary_cong :premises (@p195 @p188) :args ((or @t183 @t43)))
% 36.96/37.18  (step @p197 :rule trans :premises (@p196 @p187))
% 36.96/37.18  (step @p198 :rule bool-impl-elim :args (@t23 @t43))
% 36.96/37.18  (step @p199 :rule trans :premises (@p198 @p197))
% 36.96/37.18  (step @p200 :rule cong :premises (@p199) :args (@t44))
% 36.96/37.18  (step @p201 :rule eq_resolve :premises (@p14 @p200))
% 36.96/37.18  (step @p202 :rule instantiate :premises (@p201) :args ((@list @t131 tptp.sz00 tptp.xa)))
% 36.96/37.18  (step @p203 :rule cnf_or_pos :args (@t190))
% 36.96/37.18  (step @p204 :rule reordering :premises (@p203) :args ((or @t189 @t136 @t171 @t188 (not @t190))))
% 36.96/37.18  (step @p205 :rule chain_m_resolution :premises (@p204 @p2 @p99 @p155 @p202) :args (@t188 @t191 (@list @t4 @t135 @t162 @t190)))
% 36.96/37.18  (step @p206 :rule cnf_and_pos :args (@t188 0))
% 36.96/37.18  (step @p207 :rule reordering :premises (@p206) :args ((or @t187 (not @t188))))
% 36.96/37.18  (step @p208 :rule chain_m_resolution :premises (@p207 @p205) :args (@t187 @t129 (@list @t188)))
% 36.96/37.18  (step @p209 :rule symm :premises (@p208))
% 36.96/37.18  (step @p210 :rule bool-impl-elim :args (@t2 @t192))
% 36.96/37.18  (step @p211 :rule cong :premises (@p210) :args ((forall @t3 (=> @t2 @t192))))
% 36.96/37.18  (step @p212 :rule refl :args (@t52))
% 36.96/37.18  (step @p213 :rule eq-symm :args (@t53 tptp.sz00))
% 36.96/37.18  (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t54))
% 36.96/37.18  (step @p215 :rule cong :premises (@p121 @p214) :args (@t55))
% 36.96/37.18  (step @p216 :rule cong :premises (@p215) :args (@t56))
% 36.96/37.18  (step @p217 :rule trans :premises (@p216 @p211))
% 36.96/37.18  (step @p218 :rule eq_resolve :premises (@p16 @p217))
% 36.96/37.18  (step @p219 :rule instantiate :premises (@p218) :args ((@list @t131)))
% 36.96/37.18  (step @p220 :rule cnf_or_pos :args (@t195))
% 36.96/37.18  (step @p221 :rule reordering :premises (@p220) :args ((or @t136 @t194 (not @t195))))
% 36.96/37.18  (step @p222 :rule chain_m_resolution :premises (@p221 @p99 @p219) :args (@t194 @t127 (@list @t135 @t195)))
% 36.96/37.18  (step @p223 :rule cnf_and_pos :args (@t194 0))
% 36.96/37.18  (step @p224 :rule reordering :premises (@p223) :args ((or @t193 (not @t194))))
% 36.96/37.18  (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t193 @t129 (@list @t194)))
% 36.96/37.18  (step @p226 :rule bool-impl-elim :args (@t2 @t196))
% 36.96/37.18  (step @p227 :rule cong :premises (@p226) :args ((forall @t3 (=> @t2 @t196))))
% 36.96/37.18  (step @p228 :rule refl :args (@t31))
% 36.96/37.18  (step @p229 :rule eq-symm :args (@t32 tptp.sz00))
% 36.96/37.18  (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t33))
% 36.96/37.18  (step @p231 :rule cong :premises (@p121 @p230) :args (@t34))
% 36.96/37.18  (step @p232 :rule cong :premises (@p231) :args (@t35))
% 36.96/37.18  (step @p233 :rule trans :premises (@p232 @p227))
% 36.96/37.18  (step @p234 :rule eq_resolve :premises (@p10 @p233))
% 36.96/37.18  (step @p235 :rule instantiate :premises (@p234) :args (@t197))
% 36.96/37.18  (step @p236 :rule instantiate :premises (@p148) :args ((@list tptp.xJ tptp.xb)))
% 36.96/37.18  (step @p237 :rule instantiate :premises (@p71) :args ((@list tptp.xJ)))
% 36.96/37.18  (step @p238 :rule and_elim :premises (@p28) :args (1))
% 36.96/37.18  (step @p239 :rule cnf_equiv_pos1 :args (@t200))
% 36.96/37.18  (step @p240 :rule reordering :premises (@p239) :args ((or (not @t87) @t199 (not @t200))))
% 36.96/37.18  (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p237) :args (@t199 @t127 (@list @t87 @t200)))
% 36.96/37.18  (step @p242 :rule cnf_and_pos :args (@t199 0))
% 36.96/37.18  (step @p243 :rule reordering :premises (@p242) :args ((or @t198 (not @t199))))
% 36.96/37.18  (step @p244 :rule chain_m_resolution :premises (@p243 @p241) :args (@t198 @t129 (@list @t199)))
% 36.96/37.18  (step @p245 :rule and_elim :premises (@p31) :args (1))
% 36.96/37.18  (step @p246 :rule cnf_or_pos :args (@t204))
% 36.96/37.18  (step @p247 :rule reordering :premises (@p246) :args ((or @t202 @t201 @t203 (not @t204))))
% 36.96/37.18  (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p244 @p236) :args (@t201 @t165 (@list @t91 @t198 @t204)))
% 36.96/37.18  (step @p249 :rule cnf_or_pos :args (@t210))
% 36.96/37.18  (step @p250 :rule reordering :premises (@p249) :args ((or @t209 @t208 (not @t210))))
% 36.96/37.18  (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p235) :args (@t208 @t127 (@list @t201 @t210)))
% 36.96/37.18  (step @p252 :rule cnf_and_pos :args (@t208 0))
% 36.96/37.18  (step @p253 :rule reordering :premises (@p252) :args ((or @t207 (not @t208))))
% 36.96/37.18  (step @p254 :rule chain_m_resolution :premises (@p253 @p251) :args (@t207 @t129 (@list @t208)))
% 36.96/37.18  (step @p255 :rule symm :premises (@p254))
% 36.96/37.18  (step @p256 :rule instantiate :premises (@p126) :args (@t197))
% 36.96/37.18  (step @p257 :rule cnf_or_pos :args (@t215))
% 36.96/37.18  (step @p258 :rule reordering :premises (@p257) :args ((or @t209 @t214 (not @t215))))
% 36.96/37.18  (step @p259 :rule chain_m_resolution :premises (@p258 @p248 @p256) :args (@t214 @t127 (@list @t201 @t215)))
% 36.96/37.18  (step @p260 :rule cnf_and_pos :args (@t214 1))
% 36.96/37.18  (step @p261 :rule reordering :premises (@p260) :args ((or @t212 (not @t214))))
% 36.96/37.18  (step @p262 :rule chain_m_resolution :premises (@p261 @p259) :args (@t212 @t129 (@list @t214)))
% 36.96/37.18  (step @p263 :rule symm :premises (@p262))
% 36.96/37.18  (step @p264 :rule refl :args (tptp.xb))
% 36.96/37.18  (step @p265 :rule cong :premises (@p264 @p263) :args (@t216))
% 36.96/37.18  (step @p266 :rule trans :premises (@p265 @p255))
% 36.96/37.18  (step @p267 :rule trans :premises (@p266 @p225))
% 36.96/37.18  (step @p268 :rule cong :premises (@p267 @p166) :args (@t217))
% 36.96/37.18  (step @p269 :rule aci_norm :args ((= (or @t182 @t21) (or @t147 @t181 @t121 @t21))))
% 36.96/37.18  (step @p270 :rule refl :args (@t21))
% 36.96/37.18  (step @p271 :rule nary_cong :premises (@p195 @p270) :args ((or @t183 @t21)))
% 36.96/37.18  (step @p272 :rule trans :premises (@p271 @p269))
% 36.96/37.18  (step @p273 :rule bool-impl-elim :args (@t23 @t21))
% 36.96/37.18  (step @p274 :rule trans :premises (@p273 @p272))
% 36.96/37.18  (step @p275 :rule cong :premises (@p274) :args (@t25))
% 36.96/37.18  (step @p276 :rule eq_resolve :premises (@p8 @p275))
% 36.96/37.18  (step @p277 :rule instantiate :premises (@p276) :args ((@list tptp.xb @t211 @t166)))
% 36.96/37.18  (step @p278 :rule aci_norm :args ((= (or @t218 @t15) (or @t147 @t181 @t15))))
% 36.96/37.18  (step @p279 :rule refl :args (@t15))
% 36.96/37.18  (step @p280 :rule bool-and-de-morgan :args (@t2 @t11 true))
% 36.96/37.18  (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t219 @t15)))
% 36.96/37.18  (step @p282 :rule trans :premises (@p281 @p278))
% 36.96/37.18  (step @p283 :rule bool-impl-elim :args (@t12 @t15))
% 36.96/37.18  (step @p284 :rule trans :premises (@p283 @p282))
% 36.96/37.18  (step @p285 :rule cong :premises (@p284) :args (@t16))
% 36.96/37.18  (step @p286 :rule eq_resolve :premises (@p6 @p285))
% 36.96/37.18  (step @p287 :rule instantiate :premises (@p286) :args ((@list tptp.xa @t131)))
% 36.96/37.18  (step @p288 :rule cnf_or_pos :args (@t221))
% 36.96/37.18  (step @p289 :rule reordering :premises (@p288) :args ((or @t136 @t171 @t220 (not @t221))))
% 36.96/37.18  (step @p290 :rule chain_m_resolution :premises (@p289 @p99 @p155 @p287) :args (@t220 @t165 (@list @t135 @t162 @t221)))
% 36.96/37.18  (step @p291 :rule instantiate :premises (@p286) :args (@t222))
% 36.96/37.18  (step @p292 :rule cnf_or_pos :args (@t224))
% 36.96/37.18  (step @p293 :rule reordering :premises (@p292) :args ((or @t209 @t136 @t223 (not @t224))))
% 36.96/37.18  (step @p294 :rule chain_m_resolution :premises (@p293 @p248 @p99 @p291) :args (@t223 @t165 (@list @t201 @t135 @t224)))
% 36.96/37.18  (step @p295 :rule cnf_or_pos :args (@t230))
% 36.96/37.18  (step @p296 :rule reordering :premises (@p295) :args ((or @t209 @t229 @t228 @t227 (not @t230))))
% 36.96/37.18  (step @p297 :rule chain_m_resolution :premises (@p296 @p248 @p294 @p290 @p277) :args (@t227 @t191 (@list @t201 @t223 @t220 @t230)))
% 36.96/37.18  (step @p298 :rule symm :premises (@p297))
% 36.96/37.18  (step @p299 :rule instantiate :premises (@p201) :args ((@list @t131 tptp.xb tptp.xa)))
% 36.96/37.18  (step @p300 :rule cnf_or_pos :args (@t235))
% 36.96/37.18  (step @p301 :rule reordering :premises (@p300) :args ((or @t209 @t136 @t171 @t234 (not @t235))))
% 36.96/37.18  (step @p302 :rule chain_m_resolution :premises (@p301 @p248 @p99 @p155 @p299) :args (@t234 @t191 (@list @t201 @t135 @t162 @t235)))
% 36.96/37.18  (step @p303 :rule cnf_and_pos :args (@t234 1))
% 36.96/37.18  (step @p304 :rule reordering :premises (@p303) :args ((or @t233 (not @t234))))
% 36.96/37.18  (step @p305 :rule chain_m_resolution :premises (@p304 @p302) :args (@t233 @t129 (@list @t234)))
% 36.96/37.18  (step @p306 :rule aci_norm :args ((= (or @t218 @t17) (or @t147 @t181 @t17))))
% 36.96/37.18  (step @p307 :rule refl :args (@t17))
% 36.96/37.18  (step @p308 :rule nary_cong :premises (@p280 @p307) :args ((or @t219 @t17)))
% 36.96/37.18  (step @p309 :rule trans :premises (@p308 @p306))
% 36.96/37.18  (step @p310 :rule bool-impl-elim :args (@t12 @t17))
% 36.96/37.18  (step @p311 :rule trans :premises (@p310 @p309))
% 36.96/37.18  (step @p312 :rule cong :premises (@p311) :args (@t18))
% 36.96/37.18  (step @p313 :rule eq_resolve :premises (@p7 @p312))
% 36.96/37.18  (step @p314 :rule instantiate :premises (@p313) :args ((@list tptp.xa tptp.xb)))
% 36.96/37.18  (step @p315 :rule cnf_or_pos :args (@t237))
% 36.96/37.18  (step @p316 :rule reordering :premises (@p315) :args ((or @t209 @t171 @t236 (not @t237))))
% 36.96/37.18  (step @p317 :rule chain_m_resolution :premises (@p316 @p248 @p155 @p314) :args (@t236 @t165 (@list @t201 @t162 @t237)))
% 36.96/37.18  (step @p318 :rule cong :premises (@p317 @p185) :args (@t238))
% 36.96/37.18  (step @p319 :rule instantiate :premises (@p126) :args (@t141))
% 36.96/37.18  (step @p320 :rule cnf_or_pos :args (@t241))
% 36.96/37.18  (step @p321 :rule reordering :premises (@p320) :args ((or @t143 @t240 (not @t241))))
% 36.96/37.18  (step @p322 :rule chain_m_resolution :premises (@p321 @p96 @p319) :args (@t240 @t127 (@list @t142 @t241)))
% 36.96/37.18  (step @p323 :rule cnf_and_pos :args (@t240 1))
% 36.96/37.18  (step @p324 :rule reordering :premises (@p323) :args ((or @t239 (not @t240))))
% 36.96/37.18  (step @p325 :rule chain_m_resolution :premises (@p324 @p322) :args (@t239 @t129 (@list @t240)))
% 36.96/37.18  (step @p326 :rule trans :premises (@p325 @p318 @p305))
% 36.96/37.18  (step @p327 :rule cong :premises (@p264 @p326) :args (@t242))
% 36.96/37.18  (step @p328 :rule trans :premises (@p327 @p298 @p268 @p209 @p186 @p167 @p164))
% 36.96/37.18  (step @p329 :rule instantiate :premises (@p313) :args (@t222))
% 36.96/37.18  (step @p330 :rule cnf_or_pos :args (@t244))
% 36.96/37.18  (step @p331 :rule reordering :premises (@p330) :args ((or @t209 @t136 @t243 (not @t244))))
% 36.96/37.18  (step @p332 :rule chain_m_resolution :premises (@p331 @p248 @p99 @p329) :args (@t243 @t165 (@list @t201 @t135 @t244)))
% 36.96/37.18  (step @p333 :rule symm :premises (@p332))
% 36.96/37.18  (step @p334 :rule trans :premises (@p333 @p328 @p166))
% 36.96/37.18  (step @p335 :rule cong :premises (@p334 @p104) :args (@t245))
% 36.96/37.18  (step @p336 :rule trans :premises (@p335 @p103))
% 36.96/37.18  (step @p337 :rule true_elim :premises (@p336))
% 36.96/37.18  (step @p338 :rule cnf_or_pos :args (@t251))
% 36.96/37.18  (step @p339 :rule reordering :premises (@p338) :args ((or @t250 @t249 (not @t251))))
% 36.96/37.18  (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p80) :args (@t249 @t127 (@list @t245 @t251)))
% 36.96/37.18  (step @p341 :rule cnf_and_pos :args (@t249 1))
% 36.96/37.18  (step @p342 :rule reordering :premises (@p341) :args ((or @t248 (not @t249))))
% 36.96/37.18  (step @p343 :rule chain_m_resolution :premises (@p342 @p340) :args (@t248 @t129 (@list @t249)))
% 36.96/37.18  (step @p344 :rule and_elim :premises (@p30) :args (0))
% 36.96/37.18  (step @p345 :rule cnf_or_pos :args (@t248))
% 36.96/37.18  (step @p346 :rule reordering :premises (@p345) :args ((or @t247 @t246 (not @t248))))
% 36.96/37.18  (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p343) :args (@t246 @t127 (@list @t89 @t248)))
% 36.96/37.18  (step @p348 :rule true_intro :premises (@p347))
% 36.96/37.18  (step @p349 :rule symm :premises (@p325))
% 36.96/37.18  (step @p350 :rule symm :premises (@p317))
% 36.96/37.18  (step @p351 :rule cong :premises (@p350 @p185) :args (@t232))
% 36.96/37.18  (step @p352 :rule symm :premises (@p305))
% 36.96/37.18  (step @p353 :rule trans :premises (@p352 @p351 @p349))
% 36.96/37.18  (step @p354 :rule cong :premises (@p264 @p353) :args (@t226))
% 36.96/37.18  (step @p355 :rule trans :premises (@p167 @p164))
% 36.96/37.18  (step @p356 :rule cong :premises (@p264 @p262) :args (@t206))
% 36.96/37.18  (step @p357 :rule trans :premises (@p254 @p356))
% 36.96/37.18  (step @p358 :rule symm :premises (@p225))
% 36.96/37.18  (step @p359 :rule trans :premises (@p358 @p357))
% 36.96/37.18  (step @p360 :rule cong :premises (@p359 @p355) :args (@t186))
% 36.96/37.18  (step @p361 :rule cong :premises (@p185 @p183) :args (@t133))
% 36.96/37.18  (step @p362 :rule trans :premises (@p165 @p161 @p361 @p208 @p360 @p297 @p354 @p332))
% 36.96/37.18  (step @p363 :rule refl :args (tptp.xx))
% 36.96/37.18  (step @p364 :rule cong :premises (@p363 @p362) :args ((tptp.sdtasdt0 tptp.xx @t166)))
% 36.96/37.18  (step @p365 :rule cong :premises (@p94 @p106) :args (@t37))
% 36.96/37.18  (step @p366 :rule cong :premises (@p106 @p365) :args (@t38))
% 36.96/37.18  (step @p367 :rule cong :premises (@p106 @p94) :args (@t39))
% 36.96/37.18  (step @p368 :rule cong :premises (@p106 @p367) :args (@t252))
% 36.96/37.18  (step @p369 :rule nary_cong :premises (@p368 @p366) :args (@t253))
% 36.96/37.18  (step @p370 :rule nary_cong :premises (@p113 @p369) :args (@t254))
% 36.96/37.18  (step @p371 :rule cong :premises (@p370) :args ((forall @t3 @t254)))
% 36.96/37.18  (step @p372 :rule bool-impl-elim :args (@t2 @t253))
% 36.96/37.18  (step @p373 :rule cong :premises (@p372) :args ((forall @t3 (=> @t2 @t253))))
% 36.96/37.18  (step @p374 :rule refl :args (@t38))
% 36.96/37.18  (step @p375 :rule eq-symm :args (@t39 @t1))
% 36.96/37.18  (step @p376 :rule nary_cong :premises (@p375 @p374) :args (@t40))
% 36.96/37.18  (step @p377 :rule cong :premises (@p121 @p376) :args (@t41))
% 36.96/37.18  (step @p378 :rule cong :premises (@p377) :args (@t42))
% 36.96/37.18  (step @p379 :rule trans :premises (@p378 @p373))
% 36.96/37.18  (step @p380 :rule trans :premises (@p379 @p371))
% 36.96/37.18  (step @p381 :rule eq_resolve :premises (@p13 @p380))
% 36.96/37.18  (step @p382 :rule instantiate :premises (@p381) :args ((@list tptp.xx)))
% 36.96/37.18  (step @p383 :rule cnf_or_pos :args (@t259))
% 36.96/37.18  (step @p384 :rule reordering :premises (@p383) :args ((or @t247 @t258 (not @t259))))
% 36.96/37.18  (step @p385 :rule chain_m_resolution :premises (@p384 @p344 @p382) :args (@t258 @t127 (@list @t89 @t259)))
% 36.96/37.18  (step @p386 :rule cnf_and_pos :args (@t258 1))
% 36.96/37.18  (step @p387 :rule reordering :premises (@p386) :args ((or @t256 (not @t258))))
% 36.96/37.18  (step @p388 :rule chain_m_resolution :premises (@p387 @p385) :args (@t256 @t129 (@list @t258)))
% 36.96/37.18  (step @p389 :rule symm :premises (@p388))
% 36.96/37.18  (step @p390 :rule instantiate :premises (@p201) :args ((@list tptp.xx tptp.xa tptp.xb)))
% 36.96/37.18  (step @p391 :rule cnf_or_pos :args (@t263))
% 36.96/37.18  (step @p392 :rule reordering :premises (@p391) :args ((or @t247 @t209 @t171 @t262 (not @t263))))
% 36.96/37.18  (step @p393 :rule chain_m_resolution :premises (@p392 @p344 @p248 @p155 @p390) :args (@t262 @t191 (@list @t89 @t201 @t162 @t263)))
% 36.96/37.18  (step @p394 :rule cnf_and_pos :args (@t262 1))
% 36.96/37.18  (step @p395 :rule reordering :premises (@p394) :args ((or @t261 (not @t262))))
% 36.96/37.18  (step @p396 :rule chain_m_resolution :premises (@p395 @p393) :args (@t261 @t129 (@list @t262)))
% 36.96/37.18  (step @p397 :rule symm :premises (@p396))
% 36.96/37.18  (step @p398 :rule trans :premises (@p397 @p389))
% 36.96/37.18  (step @p399 :rule cong :premises (@p398 @p328) :args ((tptp.sdtasdt0 @t260 @t242)))
% 36.96/37.18  (step @p400 :rule refl :args (@t242))
% 36.96/37.18  (step @p401 :rule symm :premises (@p398))
% 36.96/37.18  (step @p402 :rule cong :premises (@p401 @p400) :args (@t264))
% 36.96/37.18  (step @p403 :rule trans :premises (@p402 @p399 @p364))
% 36.96/37.18  (step @p404 :rule cong :premises (@p403 @p104) :args ((tptp.aElementOf0 @t264 tptp.xI)))
% 36.96/37.18  (step @p405 :rule cong :premises (@p264 @p105) :args (@t96))
% 36.96/37.18  (step @p406 :rule cong :premises (@p363 @p405) :args (@t97))
% 36.96/37.18  (step @p407 :rule cong :premises (@p406 @p104) :args (@t98))
% 36.96/37.18  (step @p408 :rule cong :premises (@p407) :args (@t99))
% 36.96/37.18  (step @p409 :rule eq_resolve :premises (@p34 @p408))
% 36.96/37.18  (step @p410 :rule false_intro :premises (@p409))
% 36.96/37.18  (step @p411 :rule symm :premises (@p410))
% 36.96/37.18  (step @p412 :rule trans :premises (@p411 @p404 @p348))
% 36.96/37.18  (step @p413 false :rule eq_resolve :premises (@p412 @p36))
% 36.96/37.18  )
% 36.96/37.18  % SZS output end Proof
% 36.96/37.18  % cvc5 exiting
%------------------------------------------------------------------------------