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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG084+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:05:11 AM UTC 2026

% Result   : Theorem 0.35s 0.59s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG084+1 : TPTP v9.2.1. Released v2.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n009.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 : Wed Jun  3 01:38:59 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.59  % SZS status Theorem
% 0.35/0.59  % SZS output start Proof
% 0.35/0.59  (
% 0.35/0.59  (declare-sort $$unsorted 0)
% 0.35/0.59  (declare-const tptp.e13 $$unsorted)
% 0.35/0.59  (declare-const tptp.e12 $$unsorted)
% 0.35/0.59  (declare-const tptp.j (-> $$unsorted $$unsorted))
% 0.35/0.59  (declare-const tptp.e11 $$unsorted)
% 0.35/0.59  (declare-const tptp.e10 $$unsorted)
% 0.35/0.59  (declare-const tptp.e24 $$unsorted)
% 0.35/0.59  (declare-const tptp.e23 $$unsorted)
% 0.35/0.59  (declare-const tptp.e22 $$unsorted)
% 0.35/0.59  (declare-const tptp.e21 $$unsorted)
% 0.35/0.59  (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.59  (declare-const tptp.e14 $$unsorted)
% 0.35/0.59  (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.59  (declare-const tptp.e20 $$unsorted)
% 0.35/0.59  (declare-const tptp.h (-> $$unsorted $$unsorted))
% 0.35/0.59  (define @t1 () (= tptp.e21 tptp.e24))
% 0.35/0.59  (define @t2 () (not @t1))
% 0.35/0.59  (define @t3 () (tptp.op1 tptp.e14 tptp.e14))
% 0.35/0.59  (define @t4 () (tptp.op1 tptp.e14 tptp.e13))
% 0.35/0.59  (define @t5 () (tptp.op1 tptp.e14 tptp.e12))
% 0.35/0.59  (define @t6 () (tptp.op1 tptp.e14 tptp.e11))
% 0.35/0.59  (define @t7 () (tptp.op1 tptp.e14 tptp.e10))
% 0.35/0.59  (define @t8 () (tptp.op1 tptp.e13 tptp.e14))
% 0.35/0.59  (define @t9 () (tptp.op1 tptp.e13 tptp.e13))
% 0.35/0.59  (define @t10 () (tptp.op1 tptp.e13 tptp.e12))
% 0.35/0.59  (define @t11 () (tptp.op1 tptp.e13 tptp.e11))
% 0.35/0.59  (define @t12 () (tptp.op1 tptp.e13 tptp.e10))
% 0.35/0.59  (define @t13 () (tptp.op1 tptp.e12 tptp.e14))
% 0.35/0.59  (define @t14 () (tptp.op1 tptp.e12 tptp.e13))
% 0.35/0.59  (define @t15 () (tptp.op1 tptp.e12 tptp.e12))
% 0.35/0.59  (define @t16 () (tptp.op1 tptp.e12 tptp.e11))
% 0.35/0.59  (define @t17 () (tptp.op1 tptp.e12 tptp.e10))
% 0.35/0.59  (define @t18 () (tptp.op1 tptp.e11 tptp.e14))
% 0.35/0.59  (define @t19 () (tptp.op1 tptp.e11 tptp.e13))
% 0.35/0.59  (define @t20 () (tptp.op1 tptp.e11 tptp.e12))
% 0.35/0.59  (define @t21 () (tptp.op1 tptp.e11 tptp.e11))
% 0.35/0.59  (define @t22 () (tptp.op1 tptp.e11 tptp.e10))
% 0.35/0.59  (define @t23 () (tptp.op1 tptp.e10 tptp.e14))
% 0.35/0.59  (define @t24 () (tptp.op1 tptp.e10 tptp.e13))
% 0.35/0.59  (define @t25 () (tptp.op1 tptp.e10 tptp.e12))
% 0.35/0.59  (define @t26 () (tptp.op1 tptp.e10 tptp.e11))
% 0.35/0.59  (define @t27 () (tptp.op1 tptp.e10 tptp.e10))
% 0.35/0.59  (define @t28 () (tptp.op2 tptp.e24 tptp.e24))
% 0.35/0.59  (define @t29 () (tptp.op2 tptp.e24 tptp.e23))
% 0.35/0.59  (define @t30 () (tptp.op2 tptp.e24 tptp.e22))
% 0.35/0.59  (define @t31 () (tptp.op2 tptp.e24 tptp.e21))
% 0.35/0.59  (define @t32 () (tptp.op2 tptp.e24 tptp.e20))
% 0.35/0.59  (define @t33 () (tptp.op2 tptp.e23 tptp.e24))
% 0.35/0.59  (define @t34 () (tptp.op2 tptp.e23 tptp.e23))
% 0.35/0.59  (define @t35 () (tptp.op2 tptp.e23 tptp.e22))
% 0.35/0.59  (define @t36 () (tptp.op2 tptp.e23 tptp.e21))
% 0.35/0.59  (define @t37 () (tptp.op2 tptp.e23 tptp.e20))
% 0.35/0.59  (define @t38 () (tptp.op2 tptp.e22 tptp.e24))
% 0.35/0.59  (define @t39 () (tptp.op2 tptp.e22 tptp.e23))
% 0.35/0.59  (define @t40 () (tptp.op2 tptp.e22 tptp.e22))
% 0.35/0.59  (define @t41 () (tptp.op2 tptp.e22 tptp.e21))
% 0.35/0.59  (define @t42 () (tptp.op2 tptp.e22 tptp.e20))
% 0.35/0.59  (define @t43 () (tptp.op2 tptp.e21 tptp.e24))
% 0.35/0.59  (define @t44 () (tptp.op2 tptp.e21 tptp.e23))
% 0.35/0.59  (define @t45 () (tptp.op2 tptp.e21 tptp.e22))
% 0.35/0.59  (define @t46 () (tptp.op2 tptp.e21 tptp.e21))
% 0.35/0.59  (define @t47 () (tptp.op2 tptp.e21 tptp.e20))
% 0.35/0.59  (define @t48 () (tptp.op2 tptp.e20 tptp.e24))
% 0.35/0.59  (define @t49 () (tptp.op2 tptp.e20 tptp.e23))
% 0.35/0.59  (define @t50 () (tptp.op2 tptp.e20 tptp.e22))
% 0.35/0.59  (define @t51 () (tptp.op2 tptp.e20 tptp.e21))
% 0.35/0.59  (define @t52 () (tptp.op2 tptp.e20 tptp.e20))
% 0.35/0.59  (define @t53 () (tptp.h tptp.e14))
% 0.35/0.59  (define @t54 () (tptp.j @t53))
% 0.35/0.59  (define @t55 () (tptp.h tptp.e13))
% 0.35/0.59  (define @t56 () (tptp.j @t55))
% 0.35/0.59  (define @t57 () (tptp.h tptp.e12))
% 0.35/0.59  (define @t58 () (tptp.j @t57))
% 0.35/0.59  (define @t59 () (tptp.h tptp.e11))
% 0.35/0.59  (define @t60 () (tptp.j @t59))
% 0.35/0.59  (define @t61 () (tptp.h tptp.e10))
% 0.35/0.59  (define @t62 () (tptp.j @t61))
% 0.35/0.59  (define @t63 () (tptp.j tptp.e24))
% 0.35/0.59  (define @t64 () (tptp.h @t63))
% 0.35/0.59  (define @t65 () (tptp.j tptp.e23))
% 0.35/0.59  (define @t66 () (tptp.h @t65))
% 0.35/0.59  (define @t67 () (tptp.j tptp.e22))
% 0.35/0.59  (define @t68 () (tptp.h @t67))
% 0.35/0.59  (define @t69 () (tptp.j tptp.e21))
% 0.35/0.59  (define @t70 () (tptp.h @t69))
% 0.35/0.59  (define @t71 () (tptp.j tptp.e20))
% 0.35/0.59  (define @t72 () (tptp.h @t71))
% 0.35/0.59  (define @t73 () (tptp.j @t28))
% 0.35/0.59  (define @t74 () (= @t73 (tptp.op1 @t63 @t63)))
% 0.35/0.59  (define @t75 () (= (tptp.j @t29) (tptp.op1 @t63 @t65)))
% 0.35/0.59  (define @t76 () (= (tptp.j @t30) (tptp.op1 @t63 @t67)))
% 0.35/0.59  (define @t77 () (tptp.j @t31))
% 0.35/0.59  (define @t78 () (= @t77 (tptp.op1 @t63 @t69)))
% 0.35/0.59  (define @t79 () (= (tptp.j @t32) (tptp.op1 @t63 @t71)))
% 0.35/0.59  (define @t80 () (= (tptp.j @t33) (tptp.op1 @t65 @t63)))
% 0.35/0.59  (define @t81 () (= (tptp.j @t34) (tptp.op1 @t65 @t65)))
% 0.35/0.59  (define @t82 () (= (tptp.j @t35) (tptp.op1 @t65 @t67)))
% 0.35/0.59  (define @t83 () (= (tptp.j @t36) (tptp.op1 @t65 @t69)))
% 0.35/0.59  (define @t84 () (= (tptp.j @t37) (tptp.op1 @t65 @t71)))
% 0.35/0.59  (define @t85 () (= (tptp.j @t38) (tptp.op1 @t67 @t63)))
% 0.35/0.59  (define @t86 () (= (tptp.j @t39) (tptp.op1 @t67 @t65)))
% 0.35/0.59  (define @t87 () (= (tptp.j @t40) (tptp.op1 @t67 @t67)))
% 0.35/0.59  (define @t88 () (= (tptp.j @t41) (tptp.op1 @t67 @t69)))
% 0.35/0.59  (define @t89 () (= (tptp.j @t42) (tptp.op1 @t67 @t71)))
% 0.35/0.59  (define @t90 () (= (tptp.j @t43) (tptp.op1 @t69 @t63)))
% 0.35/0.59  (define @t91 () (tptp.j @t44))
% 0.35/0.59  (define @t92 () (= @t91 (tptp.op1 @t69 @t65)))
% 0.35/0.59  (define @t93 () (= (tptp.j @t45) (tptp.op1 @t69 @t67)))
% 0.35/0.59  (define @t94 () (= (tptp.j @t46) (tptp.op1 @t69 @t69)))
% 0.35/0.59  (define @t95 () (= (tptp.j @t47) (tptp.op1 @t69 @t71)))
% 0.35/0.59  (define @t96 () (= (tptp.j @t48) (tptp.op1 @t71 @t63)))
% 0.35/0.59  (define @t97 () (= (tptp.j @t49) (tptp.op1 @t71 @t65)))
% 0.35/0.59  (define @t98 () (= (tptp.j @t50) (tptp.op1 @t71 @t67)))
% 0.35/0.59  (define @t99 () (= (tptp.j @t51) (tptp.op1 @t71 @t69)))
% 0.35/0.59  (define @t100 () (= (tptp.j @t52) (tptp.op1 @t71 @t71)))
% 0.35/0.59  (define @t101 () (= (tptp.h @t3) (tptp.op2 @t53 @t53)))
% 0.35/0.59  (define @t102 () (= (tptp.h @t4) (tptp.op2 @t53 @t55)))
% 0.35/0.59  (define @t103 () (= (tptp.h @t5) (tptp.op2 @t53 @t57)))
% 0.35/0.59  (define @t104 () (= (tptp.h @t6) (tptp.op2 @t53 @t59)))
% 0.35/0.59  (define @t105 () (= (tptp.h @t7) (tptp.op2 @t53 @t61)))
% 0.35/0.59  (define @t106 () (= (tptp.h @t8) (tptp.op2 @t55 @t53)))
% 0.35/0.59  (define @t107 () (= (tptp.h @t9) (tptp.op2 @t55 @t55)))
% 0.35/0.59  (define @t108 () (= (tptp.h @t10) (tptp.op2 @t55 @t57)))
% 0.35/0.59  (define @t109 () (= (tptp.h @t11) (tptp.op2 @t55 @t59)))
% 0.35/0.59  (define @t110 () (= (tptp.h @t12) (tptp.op2 @t55 @t61)))
% 0.35/0.59  (define @t111 () (= (tptp.h @t13) (tptp.op2 @t57 @t53)))
% 0.35/0.59  (define @t112 () (= (tptp.h @t14) (tptp.op2 @t57 @t55)))
% 0.35/0.59  (define @t113 () (= (tptp.h @t15) (tptp.op2 @t57 @t57)))
% 0.35/0.59  (define @t114 () (= (tptp.h @t16) (tptp.op2 @t57 @t59)))
% 0.35/0.59  (define @t115 () (= (tptp.h @t17) (tptp.op2 @t57 @t61)))
% 0.35/0.59  (define @t116 () (= (tptp.h @t18) (tptp.op2 @t59 @t53)))
% 0.35/0.59  (define @t117 () (= (tptp.h @t19) (tptp.op2 @t59 @t55)))
% 0.35/0.59  (define @t118 () (= (tptp.h @t20) (tptp.op2 @t59 @t57)))
% 0.35/0.59  (define @t119 () (= (tptp.h @t21) (tptp.op2 @t59 @t59)))
% 0.35/0.59  (define @t120 () (= (tptp.h @t22) (tptp.op2 @t59 @t61)))
% 0.35/0.59  (define @t121 () (= (tptp.h @t23) (tptp.op2 @t61 @t53)))
% 0.35/0.59  (define @t122 () (= (tptp.h @t24) (tptp.op2 @t61 @t55)))
% 0.35/0.59  (define @t123 () (= (tptp.h @t25) (tptp.op2 @t61 @t57)))
% 0.35/0.59  (define @t124 () (= (tptp.h @t26) (tptp.op2 @t61 @t59)))
% 0.35/0.59  (define @t125 () (tptp.h @t27))
% 0.35/0.59  (define @t126 () (= @t125 (tptp.op2 @t61 @t61)))
% 0.35/0.59  (define @t127 () (and @t126 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t76 @t75 @t74 (= @t72 tptp.e20) (= @t70 tptp.e21) (= @t68 tptp.e22) (= @t66 tptp.e23) (= @t64 tptp.e24) (= @t62 tptp.e10) (= @t60 tptp.e11) (= @t58 tptp.e12) (= @t56 tptp.e13) (= @t54 tptp.e14)))
% 0.35/0.59  (define @t128 () (not @t127))
% 0.35/0.59  (define @t129 () (or (= @t63 tptp.e10) (= @t63 tptp.e11) (= @t63 tptp.e12) (= @t63 tptp.e13) (= @t63 tptp.e14)))
% 0.35/0.59  (define @t130 () (or (= @t65 tptp.e10) (= @t65 tptp.e11) (= @t65 tptp.e12) (= @t65 tptp.e13) (= @t65 tptp.e14)))
% 0.35/0.59  (define @t131 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14)))
% 0.35/0.59  (define @t132 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14)))
% 0.35/0.59  (define @t133 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14)))
% 0.35/0.59  (define @t134 () (or (= @t53 tptp.e20) (= @t53 tptp.e21) (= @t53 tptp.e22) (= @t53 tptp.e23) (= @t53 tptp.e24)))
% 0.35/0.59  (define @t135 () (or (= @t55 tptp.e20) (= @t55 tptp.e21) (= @t55 tptp.e22) (= @t55 tptp.e23) (= @t55 tptp.e24)))
% 0.35/0.59  (define @t136 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24)))
% 0.35/0.59  (define @t137 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24)))
% 0.35/0.59  (define @t138 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24)))
% 0.35/0.59  (define @t139 () (and @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129))
% 0.35/0.59  (define @t140 () (=> @t139 @t128))
% 0.35/0.59  (define @t141 () (not @t140))
% 0.35/0.59  (define @t142 () (= tptp.e24 @t64))
% 0.35/0.59  (define @t143 () (not @t142))
% 0.35/0.59  (define @t144 () (= tptp.e10 @t63))
% 0.35/0.59  (define @t145 () (not @t144))
% 0.35/0.59  (define @t146 () (= tptp.e21 @t28))
% 0.35/0.59  (define @t147 () (not @t146))
% 0.35/0.59  (define @t148 () (= tptp.e10 @t27))
% 0.35/0.59  (define @t149 () (not @t148))
% 0.35/0.59  (define @t150 () (not @t126))
% 0.35/0.59  (define @t151 () (= tptp.e24 @t61))
% 0.35/0.59  (define @t152 () (= tptp.e21 @t61))
% 0.35/0.59  (define @t153 () (and @t151 @t152 @t2))
% 0.35/0.59  (define @t154 () (= tptp.e11 @t9))
% 0.35/0.59  (define @t155 () (= tptp.e12 @t11))
% 0.35/0.59  (define @t156 () (= tptp.e10 @t20))
% 0.35/0.59  (define @t157 () (= tptp.e23 @t31))
% 0.35/0.59  (define @t158 () (= tptp.e24 @t44))
% 0.35/0.59  (define @t159 () (= tptp.e13 @t63))
% 0.35/0.59  (define @t160 () (and @t92 @t78 @t74 @t154 @t155 @t156 @t146 @t157 @t158 @t159))
% 0.35/0.59  (define @t161 () (not @t74))
% 0.35/0.59  (define @t162 () (not @t78))
% 0.35/0.59  (define @t163 () (not @t92))
% 0.35/0.59  (define @t164 () (not @t159))
% 0.35/0.59  (define @t165 () (not @t157))
% 0.35/0.59  (define @t166 () (not @t158))
% 0.35/0.59  (define @t167 () (@list true false false false false false false false false false))
% 0.35/0.59  (define @t168 () (= tptp.e10 @t8))
% 0.35/0.59  (define @t169 () (= tptp.e14 @t14))
% 0.35/0.59  (define @t170 () (= tptp.e13 @t15))
% 0.35/0.59  (define @t171 () (= tptp.e12 @t63))
% 0.35/0.59  (define @t172 () (and @t92 @t78 @t74 @t168 @t169 @t170 @t146 @t157 @t158 @t171))
% 0.35/0.59  (define @t173 () (not @t171))
% 0.35/0.59  (define @t174 () (= tptp.e10 @t4))
% 0.35/0.59  (define @t175 () (= tptp.e13 @t18))
% 0.35/0.59  (define @t176 () (= tptp.e14 @t21))
% 0.35/0.59  (define @t177 () (= tptp.e11 @t63))
% 0.35/0.59  (define @t178 () (and @t92 @t78 @t74 @t174 @t175 @t176 @t146 @t157 @t158 @t177))
% 0.35/0.59  (define @t179 () (not @t177))
% 0.35/0.59  (define @t180 () (= tptp.e14 @t63))
% 0.35/0.59  (define @t181 () (= tptp.e12 @t3))
% 0.35/0.59  (define @t182 () (= tptp.e11 @t5))
% 0.35/0.59  (define @t183 () (= tptp.e10 @t16))
% 0.35/0.59  (define @t184 () (and @t92 @t78 @t74 @t181 @t182 @t183 @t146 @t157 @t158 @t180))
% 0.35/0.59  (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e10 tptp.e14)) (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) (not (= tptp.e11 tptp.e14)) (not (= tptp.e12 tptp.e13)) (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14))))
% 0.35/0.59  (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) (not (= tptp.e20 tptp.e23)) (not (= tptp.e20 tptp.e24)) (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) @t2 (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) (not (= tptp.e23 tptp.e24))))
% 0.35/0.59  (assume @p3 (and (not (= tptp.e10 tptp.e20)) (not (= tptp.e10 tptp.e21)) (not (= tptp.e10 tptp.e22)) (not (= tptp.e10 tptp.e23)) (not (= tptp.e10 tptp.e24)) (not (= tptp.e11 tptp.e20)) (not (= tptp.e11 tptp.e21)) (not (= tptp.e11 tptp.e22)) (not (= tptp.e11 tptp.e23)) (not (= tptp.e11 tptp.e24)) (not (= tptp.e12 tptp.e20)) (not (= tptp.e12 tptp.e21)) (not (= tptp.e12 tptp.e22)) (not (= tptp.e12 tptp.e23)) (not (= tptp.e12 tptp.e24)) (not (= tptp.e13 tptp.e20)) (not (= tptp.e13 tptp.e21)) (not (= tptp.e13 tptp.e22)) (not (= tptp.e13 tptp.e23)) (not (= tptp.e13 tptp.e24)) (not (= tptp.e14 tptp.e20)) (not (= tptp.e14 tptp.e21)) (not (= tptp.e14 tptp.e22)) (not (= tptp.e14 tptp.e23)) (not (= tptp.e14 tptp.e24))))
% 0.35/0.59  (assume @p4 (and (= @t27 tptp.e10) (= @t26 tptp.e11) (= @t25 tptp.e12) (= @t24 tptp.e13) (= @t23 tptp.e14) (= @t22 tptp.e11) (= @t21 tptp.e14) (= @t20 tptp.e10) (= @t19 tptp.e12) (= @t18 tptp.e13) (= @t17 tptp.e12) (= @t16 tptp.e10) (= @t15 tptp.e13) (= @t14 tptp.e14) (= @t13 tptp.e11) (= @t12 tptp.e13) (= @t11 tptp.e12) (= @t10 tptp.e14) (= @t9 tptp.e11) (= @t8 tptp.e10) (= @t7 tptp.e14) (= @t6 tptp.e13) (= @t5 tptp.e11) (= @t4 tptp.e10) (= @t3 tptp.e12)))
% 0.35/0.59  (assume @p5 (and (= @t52 tptp.e20) (= @t51 tptp.e21) (= @t50 tptp.e22) (= @t49 tptp.e23) (= @t48 tptp.e24) (= @t47 tptp.e21) (= @t46 tptp.e22) (= @t45 tptp.e23) (= @t44 tptp.e24) (= @t43 tptp.e20) (= @t42 tptp.e22) (= @t41 tptp.e24) (= @t40 tptp.e21) (= @t39 tptp.e20) (= @t38 tptp.e23) (= @t37 tptp.e23) (= @t36 tptp.e20) (= @t35 tptp.e24) (= @t34 tptp.e21) (= @t33 tptp.e22) (= @t32 tptp.e24) (= @t31 tptp.e23) (= @t30 tptp.e20) (= @t29 tptp.e22) (= @t28 tptp.e21)))
% 0.35/0.59  (assume @p6 @t141)
% 0.35/0.59  (assume @p7 true)
% 0.35/0.59  (step @p8 :rule and_elim :premises (@p4) :args (11))
% 0.35/0.59  (step @p9 :rule symm :premises (@p8))
% 0.35/0.59  (step @p10 :rule and_elim :premises (@p4) :args (22))
% 0.35/0.59  (step @p11 :rule symm :premises (@p10))
% 0.35/0.59  (step @p12 :rule and_elim :premises (@p4) :args (24))
% 0.35/0.59  (step @p13 :rule symm :premises (@p12))
% 0.35/0.59  (step @p14 :rule and_elim :premises (@p5) :args (8))
% 0.35/0.59  (step @p15 :rule symm :premises (@p14))
% 0.35/0.59  (step @p16 :rule and_elim :premises (@p5) :args (21))
% 0.35/0.59  (step @p17 :rule symm :premises (@p16))
% 0.35/0.59  (step @p18 :rule and_elim :premises (@p5) :args (24))
% 0.35/0.59  (step @p19 :rule symm :premises (@p18))
% 0.35/0.59  (step @p20 :rule eq-symm :args (@t54 tptp.e14))
% 0.35/0.59  (step @p21 :rule eq-symm :args (@t56 tptp.e13))
% 0.35/0.59  (step @p22 :rule eq-symm :args (@t58 tptp.e12))
% 0.35/0.59  (step @p23 :rule eq-symm :args (@t60 tptp.e11))
% 0.35/0.59  (step @p24 :rule eq-symm :args (@t62 tptp.e10))
% 0.35/0.59  (step @p25 :rule eq-symm :args (@t64 tptp.e24))
% 0.35/0.59  (step @p26 :rule eq-symm :args (@t66 tptp.e23))
% 0.35/0.59  (step @p27 :rule eq-symm :args (@t68 tptp.e22))
% 0.35/0.59  (step @p28 :rule eq-symm :args (@t70 tptp.e21))
% 0.35/0.59  (step @p29 :rule eq-symm :args (@t72 tptp.e20))
% 0.35/0.59  (step @p30 :rule refl :args (@t74))
% 0.35/0.59  (step @p31 :rule refl :args (@t75))
% 0.35/0.59  (step @p32 :rule refl :args (@t76))
% 0.35/0.59  (step @p33 :rule refl :args (@t78))
% 0.35/0.59  (step @p34 :rule refl :args (@t79))
% 0.35/0.59  (step @p35 :rule refl :args (@t80))
% 0.35/0.59  (step @p36 :rule refl :args (@t81))
% 0.35/0.59  (step @p37 :rule refl :args (@t82))
% 0.35/0.59  (step @p38 :rule refl :args (@t83))
% 0.35/0.59  (step @p39 :rule refl :args (@t84))
% 0.35/0.59  (step @p40 :rule refl :args (@t85))
% 0.35/0.59  (step @p41 :rule refl :args (@t86))
% 0.35/0.59  (step @p42 :rule refl :args (@t87))
% 0.35/0.59  (step @p43 :rule refl :args (@t88))
% 0.35/0.59  (step @p44 :rule refl :args (@t89))
% 0.35/0.59  (step @p45 :rule refl :args (@t90))
% 0.35/0.59  (step @p46 :rule refl :args (@t92))
% 0.35/0.59  (step @p47 :rule refl :args (@t93))
% 0.35/0.59  (step @p48 :rule refl :args (@t94))
% 0.35/0.59  (step @p49 :rule refl :args (@t95))
% 0.35/0.59  (step @p50 :rule refl :args (@t96))
% 0.35/0.59  (step @p51 :rule refl :args (@t97))
% 0.35/0.59  (step @p52 :rule refl :args (@t98))
% 0.35/0.59  (step @p53 :rule refl :args (@t99))
% 0.35/0.59  (step @p54 :rule refl :args (@t100))
% 0.35/0.59  (step @p55 :rule refl :args (@t101))
% 0.35/0.59  (step @p56 :rule refl :args (@t102))
% 0.35/0.59  (step @p57 :rule refl :args (@t103))
% 0.35/0.59  (step @p58 :rule refl :args (@t104))
% 0.35/0.59  (step @p59 :rule refl :args (@t105))
% 0.35/0.59  (step @p60 :rule refl :args (@t106))
% 0.35/0.59  (step @p61 :rule refl :args (@t107))
% 0.35/0.59  (step @p62 :rule refl :args (@t108))
% 0.35/0.59  (step @p63 :rule refl :args (@t109))
% 0.35/0.59  (step @p64 :rule refl :args (@t110))
% 0.35/0.59  (step @p65 :rule refl :args (@t111))
% 0.35/0.59  (step @p66 :rule refl :args (@t112))
% 0.35/0.59  (step @p67 :rule refl :args (@t113))
% 0.35/0.59  (step @p68 :rule refl :args (@t114))
% 0.35/0.59  (step @p69 :rule refl :args (@t115))
% 0.35/0.59  (step @p70 :rule refl :args (@t116))
% 0.35/0.59  (step @p71 :rule refl :args (@t117))
% 0.35/0.59  (step @p72 :rule refl :args (@t118))
% 0.35/0.59  (step @p73 :rule refl :args (@t119))
% 0.35/0.59  (step @p74 :rule refl :args (@t120))
% 0.35/0.59  (step @p75 :rule refl :args (@t121))
% 0.35/0.59  (step @p76 :rule refl :args (@t122))
% 0.35/0.59  (step @p77 :rule refl :args (@t123))
% 0.35/0.59  (step @p78 :rule refl :args (@t124))
% 0.35/0.59  (step @p79 :rule refl :args (@t126))
% 0.35/0.59  (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20) :args (@t127))
% 0.35/0.59  (step @p81 :rule cong :premises (@p80) :args (@t128))
% 0.35/0.59  (step @p82 :rule eq-symm :args (@t63 tptp.e14))
% 0.35/0.59  (step @p83 :rule eq-symm :args (@t63 tptp.e13))
% 0.35/0.59  (step @p84 :rule eq-symm :args (@t63 tptp.e12))
% 0.35/0.59  (step @p85 :rule eq-symm :args (@t63 tptp.e11))
% 0.35/0.59  (step @p86 :rule eq-symm :args (@t63 tptp.e10))
% 0.35/0.59  (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83 @p82) :args (@t129))
% 0.35/0.59  (step @p88 :rule eq-symm :args (@t65 tptp.e14))
% 0.35/0.59  (step @p89 :rule eq-symm :args (@t65 tptp.e13))
% 0.35/0.59  (step @p90 :rule eq-symm :args (@t65 tptp.e12))
% 0.35/0.59  (step @p91 :rule eq-symm :args (@t65 tptp.e11))
% 0.35/0.59  (step @p92 :rule eq-symm :args (@t65 tptp.e10))
% 0.35/0.59  (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88) :args (@t130))
% 0.35/0.59  (step @p94 :rule eq-symm :args (@t67 tptp.e14))
% 0.35/0.59  (step @p95 :rule eq-symm :args (@t67 tptp.e13))
% 0.35/0.59  (step @p96 :rule eq-symm :args (@t67 tptp.e12))
% 0.35/0.59  (step @p97 :rule eq-symm :args (@t67 tptp.e11))
% 0.35/0.59  (step @p98 :rule eq-symm :args (@t67 tptp.e10))
% 0.35/0.59  (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t131))
% 0.35/0.59  (step @p100 :rule eq-symm :args (@t69 tptp.e14))
% 0.35/0.59  (step @p101 :rule eq-symm :args (@t69 tptp.e13))
% 0.35/0.59  (step @p102 :rule eq-symm :args (@t69 tptp.e12))
% 0.35/0.59  (step @p103 :rule eq-symm :args (@t69 tptp.e11))
% 0.35/0.59  (step @p104 :rule eq-symm :args (@t69 tptp.e10))
% 0.35/0.59  (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100) :args (@t132))
% 0.35/0.59  (step @p106 :rule eq-symm :args (@t71 tptp.e14))
% 0.35/0.59  (step @p107 :rule eq-symm :args (@t71 tptp.e13))
% 0.35/0.59  (step @p108 :rule eq-symm :args (@t71 tptp.e12))
% 0.35/0.59  (step @p109 :rule eq-symm :args (@t71 tptp.e11))
% 0.35/0.59  (step @p110 :rule eq-symm :args (@t71 tptp.e10))
% 0.35/0.59  (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106) :args (@t133))
% 0.35/0.59  (step @p112 :rule eq-symm :args (@t53 tptp.e24))
% 0.35/0.59  (step @p113 :rule eq-symm :args (@t53 tptp.e23))
% 0.35/0.59  (step @p114 :rule eq-symm :args (@t53 tptp.e22))
% 0.35/0.59  (step @p115 :rule eq-symm :args (@t53 tptp.e21))
% 0.35/0.59  (step @p116 :rule eq-symm :args (@t53 tptp.e20))
% 0.35/0.59  (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112) :args (@t134))
% 0.35/0.59  (step @p118 :rule eq-symm :args (@t55 tptp.e24))
% 0.35/0.59  (step @p119 :rule eq-symm :args (@t55 tptp.e23))
% 0.35/0.59  (step @p120 :rule eq-symm :args (@t55 tptp.e22))
% 0.35/0.59  (step @p121 :rule eq-symm :args (@t55 tptp.e21))
% 0.35/0.59  (step @p122 :rule eq-symm :args (@t55 tptp.e20))
% 0.35/0.59  (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119 @p118) :args (@t135))
% 0.35/0.59  (step @p124 :rule eq-symm :args (@t57 tptp.e24))
% 0.35/0.59  (step @p125 :rule eq-symm :args (@t57 tptp.e23))
% 0.35/0.59  (step @p126 :rule eq-symm :args (@t57 tptp.e22))
% 0.35/0.59  (step @p127 :rule eq-symm :args (@t57 tptp.e21))
% 0.35/0.59  (step @p128 :rule eq-symm :args (@t57 tptp.e20))
% 0.35/0.59  (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125 @p124) :args (@t136))
% 0.35/0.59  (step @p130 :rule eq-symm :args (@t59 tptp.e24))
% 0.35/0.59  (step @p131 :rule eq-symm :args (@t59 tptp.e23))
% 0.35/0.59  (step @p132 :rule eq-symm :args (@t59 tptp.e22))
% 0.35/0.59  (step @p133 :rule eq-symm :args (@t59 tptp.e21))
% 0.35/0.59  (step @p134 :rule eq-symm :args (@t59 tptp.e20))
% 0.35/0.59  (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131 @p130) :args (@t137))
% 0.35/0.59  (step @p136 :rule eq-symm :args (@t61 tptp.e24))
% 0.35/0.59  (step @p137 :rule eq-symm :args (@t61 tptp.e23))
% 0.35/0.59  (step @p138 :rule eq-symm :args (@t61 tptp.e22))
% 0.35/0.59  (step @p139 :rule eq-symm :args (@t61 tptp.e21))
% 0.35/0.59  (step @p140 :rule eq-symm :args (@t61 tptp.e20))
% 0.35/0.59  (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137 @p136) :args (@t138))
% 0.35/0.59  (step @p142 :rule nary_cong :premises (@p141 @p135 @p129 @p123 @p117 @p111 @p105 @p99 @p93 @p87) :args (@t139))
% 0.35/0.59  (step @p143 :rule cong :premises (@p142 @p81) :args (@t140))
% 0.35/0.59  (step @p144 :rule cong :premises (@p143) :args (@t141))
% 0.35/0.59  (step @p145 :rule eq_resolve :premises (@p6 @p144))
% 0.35/0.59  (step @p146 :rule not_implies_elim2 :premises (@p145))
% 0.35/0.59  (step @p147 :rule not_not_elim :premises (@p146))
% 0.35/0.59  (step @p148 :rule and_elim :premises (@p147) :args (33))
% 0.35/0.59  (step @p149 :rule and_elim :premises (@p147) :args (46))
% 0.35/0.59  (step @p150 :rule and_elim :premises (@p147) :args (49))
% 0.35/0.59  (step @p151 :rule and_elim :premises (@p147) :args (54))
% 0.35/0.59  (step @p152 :rule and_elim :premises (@p147) :args (0))
% 0.35/0.59  (step @p153 :rule and_elim :premises (@p4) :args (0))
% 0.35/0.59  (step @p154 :rule symm :premises (@p153))
% 0.35/0.59  (step @p155 :rule and_elim :premises (@p2) :args (6))
% 0.35/0.59  (step @p156 :rule refl :args (@t143))
% 0.35/0.59  (step @p157 :rule refl :args (@t145))
% 0.35/0.59  (step @p158 :rule refl :args (@t147))
% 0.35/0.59  (step @p159 :rule refl :args (@t149))
% 0.35/0.59  (step @p160 :rule refl :args (@t150))
% 0.35/0.59  (step @p161 :rule bool-double-not-elim :args (@t1))
% 0.35/0.59  (step @p162 :rule nary_cong :premises (@p161 @p160 @p159 @p158 @p157 @p156) :args ((or (not @t2) @t150 @t149 @t147 @t145 @t143)))
% 0.35/0.59  (assume-push @p475 @t151)
% 0.35/0.59  (assume-push @p476 @t152)
% 0.35/0.59  (assume-push @p477 @t2)
% 0.35/0.59  (step @p166 :rule evaluate :args ((= false true)))
% 0.35/0.59  (step @p167 :rule symm :premises (@p475))
% 0.35/0.59  (step @p168 :rule trans :premises (@p476 @p167))
% 0.35/0.59  (step @p169 :rule true_intro :premises (@p168))
% 0.35/0.59  (step @p170 :rule false_intro :premises (@p155))
% 0.35/0.59  (step @p171 :rule symm :premises (@p170))
% 0.35/0.59  (step @p172 :rule trans :premises (@p171 @p169))
% 0.35/0.59  (step @p173 false :rule eq_resolve :premises (@p172 @p166))
% 0.35/0.59  (step-pop @p478 :rule scope :premises (@p173))
% 0.35/0.59  (step-pop @p479 :rule scope :premises (@p478))
% 0.35/0.59  (step-pop @p480 :rule scope :premises (@p479))
% 0.35/0.59  (step @p174 :rule process_scope :premises (@p480) :args (false))
% 0.35/0.59  (assume-push @p481 @t2)
% 0.35/0.59  (assume-push @p482 @t126)
% 0.35/0.59  (assume-push @p483 @t148)
% 0.35/0.59  (assume-push @p484 @t146)
% 0.35/0.59  (assume-push @p485 @t144)
% 0.35/0.59  (assume-push @p486 @t142)
% 0.35/0.59  (assume-push @p487 @t148)
% 0.35/0.59  (assume-push @p488 @t126)
% 0.35/0.59  (assume-push @p489 @t144)
% 0.35/0.59  (assume-push @p490 @t142)
% 0.35/0.59  (assume-push @p491 @t146)
% 0.35/0.59  (step @p189 :rule cong :premises (@p153) :args (@t125))
% 0.35/0.59  (step @p190 :rule symm :premises (@p152))
% 0.35/0.59  (step @p191 :rule symm :premises (@p485))
% 0.35/0.59  (step @p192 :rule cong :premises (@p191) :args (@t64))
% 0.35/0.59  (step @p193 :rule trans :premises (@p151 @p192))
% 0.35/0.59  (step @p194 :rule cong :premises (@p193 @p193) :args (@t28))
% 0.35/0.59  (step @p195 :rule trans :premises (@p19 @p194 @p190 @p189))
% 0.35/0.59  (step-pop @p492 :rule scope :premises (@p195))
% 0.35/0.59  (step-pop @p493 :rule scope :premises (@p492))
% 0.35/0.59  (step-pop @p494 :rule scope :premises (@p493))
% 0.35/0.59  (step-pop @p495 :rule scope :premises (@p494))
% 0.35/0.59  (step-pop @p496 :rule scope :premises (@p495))
% 0.35/0.59  (step @p196 :rule process_scope :premises (@p496) :args (@t152))
% 0.35/0.59  (step @p202 :rule and_intro :premises (@p154 @p152 @p485 @p151 @p19))
% 0.35/0.59  (step @p203 :rule modus_ponens :premises (@p202 @p196))
% 0.35/0.59  (assume-push @p497 @t144)
% 0.35/0.59  (assume-push @p498 @t142)
% 0.35/0.59  (step @p206 :rule symm :premises (@p485))
% 0.35/0.59  (step @p207 :rule cong :premises (@p206) :args (@t64))
% 0.35/0.59  (step @p208 :rule trans :premises (@p151 @p207))
% 0.35/0.59  (step-pop @p499 :rule scope :premises (@p208))
% 0.35/0.59  (step-pop @p500 :rule scope :premises (@p499))
% 0.35/0.59  (step @p209 :rule process_scope :premises (@p500) :args (@t151))
% 0.35/0.59  (step @p212 :rule and_intro :premises (@p485 @p151))
% 0.35/0.59  (step @p213 :rule modus_ponens :premises (@p212 @p209))
% 0.35/0.59  (step @p214 :rule and_intro :premises (@p213 @p203 @p155))
% 0.35/0.59  (step-pop @p501 :rule scope :premises (@p214))
% 0.35/0.59  (step-pop @p502 :rule scope :premises (@p501))
% 0.35/0.59  (step-pop @p503 :rule scope :premises (@p502))
% 0.35/0.59  (step-pop @p504 :rule scope :premises (@p503))
% 0.35/0.59  (step-pop @p505 :rule scope :premises (@p504))
% 0.35/0.59  (step-pop @p506 :rule scope :premises (@p505))
% 0.35/0.59  (step @p215 :rule process_scope :premises (@p506) :args (@t153))
% 0.35/0.59  (step @p222 :rule implies_elim :premises (@p215))
% 0.35/0.59  (step @p223 :rule resolution :premises (@p222 @p174) :args (true @t153))
% 0.35/0.59  (step @p224 :rule not_and :premises (@p223))
% 0.35/0.59  (step @p225 :rule eq_resolve :premises (@p224 @p162))
% 0.35/0.59  (step @p226 :rule reordering :premises (@p225) :args ((or @t1 @t149 @t147 @t145 @t150 @t143)))
% 0.35/0.59  (step @p227 :rule chain_m_resolution :premises (@p226 @p155 @p154 @p19 @p152 @p151) :args (@t145 (@list true false false false false) (@list @t1 @t148 @t146 @t126 @t142)))
% 0.35/0.59  (step @p228 :rule and_elim :premises (@p4) :args (18))
% 0.35/0.59  (step @p229 :rule symm :premises (@p228))
% 0.35/0.59  (step @p230 :rule and_elim :premises (@p4) :args (16))
% 0.35/0.59  (step @p231 :rule symm :premises (@p230))
% 0.35/0.59  (step @p232 :rule and_elim :premises (@p4) :args (7))
% 0.35/0.59  (step @p233 :rule symm :premises (@p232))
% 0.35/0.59  (assume-push @p507 @t92)
% 0.35/0.59  (assume-push @p508 @t78)
% 0.35/0.59  (assume-push @p509 @t74)
% 0.35/0.59  (assume-push @p510 @t154)
% 0.35/0.59  (assume-push @p511 @t155)
% 0.35/0.59  (assume-push @p512 @t156)
% 0.35/0.59  (assume-push @p513 @t146)
% 0.35/0.59  (assume-push @p514 @t157)
% 0.35/0.59  (assume-push @p515 @t158)
% 0.35/0.59  (assume-push @p516 @t159)
% 0.35/0.59  (assume-push @p517 @t158)
% 0.35/0.59  (assume-push @p518 @t92)
% 0.35/0.59  (assume-push @p519 @t146)
% 0.35/0.59  (assume-push @p520 @t74)
% 0.35/0.59  (assume-push @p521 @t159)
% 0.35/0.59  (assume-push @p522 @t154)
% 0.35/0.59  (assume-push @p523 @t157)
% 0.35/0.59  (assume-push @p524 @t78)
% 0.35/0.59  (assume-push @p525 @t155)
% 0.35/0.59  (assume-push @p526 @t156)
% 0.35/0.59  (step @p254 :rule cong :premises (@p14) :args (@t91))
% 0.35/0.59  (step @p255 :rule symm :premises (@p148))
% 0.35/0.59  (step @p256 :rule cong :premises (@p16) :args (@t77))
% 0.35/0.59  (step @p257 :rule symm :premises (@p149))
% 0.35/0.59  (step @p258 :rule cong :premises (@p18) :args (@t73))
% 0.35/0.59  (step @p259 :rule symm :premises (@p150))
% 0.35/0.59  (step @p260 :rule cong :premises (@p516 @p516) :args (@t9))
% 0.35/0.59  (step @p261 :rule trans :premises (@p229 @p260 @p259 @p258))
% 0.35/0.59  (step @p262 :rule cong :premises (@p516 @p261) :args (@t11))
% 0.35/0.59  (step @p263 :rule trans :premises (@p231 @p262 @p257 @p256))
% 0.35/0.59  (step @p264 :rule cong :premises (@p261 @p263) :args (@t20))
% 0.35/0.59  (step @p265 :rule trans :premises (@p233 @p264 @p255 @p254))
% 0.35/0.59  (step-pop @p527 :rule scope :premises (@p265))
% 0.35/0.59  (step-pop @p528 :rule scope :premises (@p527))
% 0.35/0.59  (step-pop @p529 :rule scope :premises (@p528))
% 0.35/0.59  (step-pop @p530 :rule scope :premises (@p529))
% 0.35/0.59  (step-pop @p531 :rule scope :premises (@p530))
% 0.35/0.59  (step-pop @p532 :rule scope :premises (@p531))
% 0.35/0.59  (step-pop @p533 :rule scope :premises (@p532))
% 0.35/0.59  (step-pop @p534 :rule scope :premises (@p533))
% 0.35/0.59  (step-pop @p535 :rule scope :premises (@p534))
% 0.35/0.59  (step-pop @p536 :rule scope :premises (@p535))
% 0.35/0.59  (step @p266 :rule process_scope :premises (@p536) :args (@t144))
% 0.35/0.59  (step @p277 :rule and_intro :premises (@p15 @p148 @p19 @p150 @p516 @p229 @p17 @p149 @p231 @p233))
% 0.35/0.59  (step @p278 :rule modus_ponens :premises (@p277 @p266))
% 0.35/0.59  (step-pop @p537 :rule scope :premises (@p278))
% 0.35/0.59  (step-pop @p538 :rule scope :premises (@p537))
% 0.35/0.59  (step-pop @p539 :rule scope :premises (@p538))
% 0.35/0.59  (step-pop @p540 :rule scope :premises (@p539))
% 0.35/0.59  (step-pop @p541 :rule scope :premises (@p540))
% 0.35/0.59  (step-pop @p542 :rule scope :premises (@p541))
% 0.35/0.59  (step-pop @p543 :rule scope :premises (@p542))
% 0.35/0.59  (step-pop @p544 :rule scope :premises (@p543))
% 0.35/0.59  (step-pop @p545 :rule scope :premises (@p544))
% 0.35/0.59  (step-pop @p546 :rule scope :premises (@p545))
% 0.35/0.59  (step @p279 :rule process_scope :premises (@p546) :args (@t144))
% 0.35/0.59  (step @p290 :rule implies_elim :premises (@p279))
% 0.35/0.59  (step @p291 :rule cnf_and_neg :args (@t160))
% 0.35/0.59  (step @p292 :rule resolution :premises (@p291 @p290) :args (true @t160))
% 0.35/0.59  (step @p293 :rule reordering :premises (@p292) :args ((or @t144 (not @t156) (not @t155) (not @t154) @t166 @t165 @t147 @t164 @t163 @t162 @t161)))
% 0.35/0.59  (step @p294 :rule chain_m_resolution :premises (@p293 @p227 @p233 @p231 @p229 @p15 @p17 @p19 @p148 @p149 @p150) :args (@t164 @t167 (@list @t144 @t156 @t155 @t154 @t158 @t157 @t146 @t92 @t78 @t74)))
% 0.35/0.59  (step @p295 :rule and_elim :premises (@p4) :args (19))
% 0.35/0.59  (step @p296 :rule symm :premises (@p295))
% 0.35/0.59  (step @p297 :rule and_elim :premises (@p4) :args (13))
% 0.35/0.59  (step @p298 :rule symm :premises (@p297))
% 0.35/0.59  (step @p299 :rule and_elim :premises (@p4) :args (12))
% 0.35/0.59  (step @p300 :rule symm :premises (@p299))
% 0.35/0.59  (assume-push @p547 @t92)
% 0.35/0.59  (assume-push @p548 @t78)
% 0.35/0.59  (assume-push @p549 @t74)
% 0.35/0.59  (assume-push @p550 @t168)
% 0.35/0.59  (assume-push @p551 @t169)
% 0.35/0.59  (assume-push @p552 @t170)
% 0.35/0.59  (assume-push @p553 @t146)
% 0.35/0.59  (assume-push @p554 @t157)
% 0.35/0.59  (assume-push @p555 @t158)
% 0.35/0.59  (assume-push @p556 @t171)
% 0.35/0.59  (assume-push @p557 @t158)
% 0.35/0.59  (assume-push @p558 @t92)
% 0.35/0.59  (assume-push @p559 @t146)
% 0.35/0.59  (assume-push @p560 @t74)
% 0.35/0.59  (assume-push @p561 @t171)
% 0.35/0.59  (assume-push @p562 @t170)
% 0.35/0.59  (assume-push @p563 @t157)
% 0.35/0.59  (assume-push @p564 @t78)
% 0.35/0.59  (assume-push @p565 @t169)
% 0.35/0.59  (assume-push @p566 @t168)
% 0.35/0.59  (step @p254 :rule cong :premises (@p14) :args (@t91))
% 0.35/0.59  (step @p255 :rule symm :premises (@p148))
% 0.35/0.59  (step @p256 :rule cong :premises (@p16) :args (@t77))
% 0.35/0.59  (step @p257 :rule symm :premises (@p149))
% 0.35/0.59  (step @p258 :rule cong :premises (@p18) :args (@t73))
% 0.35/0.59  (step @p259 :rule symm :premises (@p150))
% 0.35/0.59  (step @p321 :rule cong :premises (@p556 @p556) :args (@t15))
% 0.35/0.59  (step @p322 :rule trans :premises (@p300 @p321 @p259 @p258))
% 0.35/0.59  (step @p323 :rule cong :premises (@p556 @p322) :args (@t14))
% 0.35/0.59  (step @p324 :rule trans :premises (@p298 @p323 @p257 @p256))
% 0.35/0.59  (step @p325 :rule cong :premises (@p322 @p324) :args (@t8))
% 0.35/0.59  (step @p326 :rule trans :premises (@p296 @p325 @p255 @p254))
% 0.35/0.59  (step-pop @p567 :rule scope :premises (@p326))
% 0.35/0.59  (step-pop @p568 :rule scope :premises (@p567))
% 0.35/0.59  (step-pop @p569 :rule scope :premises (@p568))
% 0.35/0.59  (step-pop @p570 :rule scope :premises (@p569))
% 0.35/0.59  (step-pop @p571 :rule scope :premises (@p570))
% 0.35/0.59  (step-pop @p572 :rule scope :premises (@p571))
% 0.35/0.59  (step-pop @p573 :rule scope :premises (@p572))
% 0.35/0.59  (step-pop @p574 :rule scope :premises (@p573))
% 0.35/0.59  (step-pop @p575 :rule scope :premises (@p574))
% 0.35/0.59  (step-pop @p576 :rule scope :premises (@p575))
% 0.35/0.59  (step @p327 :rule process_scope :premises (@p576) :args (@t144))
% 0.35/0.59  (step @p338 :rule and_intro :premises (@p15 @p148 @p19 @p150 @p556 @p300 @p17 @p149 @p298 @p296))
% 0.35/0.59  (step @p339 :rule modus_ponens :premises (@p338 @p327))
% 0.35/0.59  (step-pop @p577 :rule scope :premises (@p339))
% 0.35/0.59  (step-pop @p578 :rule scope :premises (@p577))
% 0.35/0.59  (step-pop @p579 :rule scope :premises (@p578))
% 0.35/0.59  (step-pop @p580 :rule scope :premises (@p579))
% 0.35/0.59  (step-pop @p581 :rule scope :premises (@p580))
% 0.35/0.59  (step-pop @p582 :rule scope :premises (@p581))
% 0.35/0.59  (step-pop @p583 :rule scope :premises (@p582))
% 0.35/0.59  (step-pop @p584 :rule scope :premises (@p583))
% 0.35/0.59  (step-pop @p585 :rule scope :premises (@p584))
% 0.35/0.59  (step-pop @p586 :rule scope :premises (@p585))
% 0.35/0.59  (step @p340 :rule process_scope :premises (@p586) :args (@t144))
% 0.35/0.59  (step @p351 :rule implies_elim :premises (@p340))
% 0.35/0.59  (step @p352 :rule cnf_and_neg :args (@t172))
% 0.35/0.59  (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t172))
% 0.35/0.59  (step @p354 :rule reordering :premises (@p353) :args ((or @t144 (not @t170) (not @t169) (not @t168) @t166 @t165 @t147 @t173 @t163 @t162 @t161)))
% 0.35/0.59  (step @p355 :rule chain_m_resolution :premises (@p354 @p227 @p300 @p298 @p296 @p15 @p17 @p19 @p148 @p149 @p150) :args (@t173 @t167 (@list @t144 @t170 @t169 @t168 @t158 @t157 @t146 @t92 @t78 @t74)))
% 0.35/0.59  (step @p356 :rule and_elim :premises (@p4) :args (23))
% 0.35/0.59  (step @p357 :rule symm :premises (@p356))
% 0.35/0.59  (step @p358 :rule and_elim :premises (@p4) :args (9))
% 0.35/0.59  (step @p359 :rule symm :premises (@p358))
% 0.35/0.59  (step @p360 :rule and_elim :premises (@p4) :args (6))
% 0.35/0.59  (step @p361 :rule symm :premises (@p360))
% 0.35/0.59  (assume-push @p587 @t92)
% 0.35/0.59  (assume-push @p588 @t78)
% 0.35/0.59  (assume-push @p589 @t74)
% 0.35/0.59  (assume-push @p590 @t174)
% 0.35/0.59  (assume-push @p591 @t175)
% 0.35/0.59  (assume-push @p592 @t176)
% 0.35/0.59  (assume-push @p593 @t146)
% 0.35/0.59  (assume-push @p594 @t157)
% 0.35/0.59  (assume-push @p595 @t158)
% 0.35/0.59  (assume-push @p596 @t177)
% 0.35/0.59  (assume-push @p597 @t158)
% 0.35/0.59  (assume-push @p598 @t92)
% 0.35/0.59  (assume-push @p599 @t146)
% 0.35/0.59  (assume-push @p600 @t74)
% 0.35/0.59  (assume-push @p601 @t177)
% 0.35/0.59  (assume-push @p602 @t176)
% 0.35/0.59  (assume-push @p603 @t157)
% 0.35/0.59  (assume-push @p604 @t78)
% 0.35/0.59  (assume-push @p605 @t175)
% 0.35/0.59  (assume-push @p606 @t174)
% 0.35/0.59  (step @p254 :rule cong :premises (@p14) :args (@t91))
% 0.35/0.59  (step @p255 :rule symm :premises (@p148))
% 0.35/0.59  (step @p256 :rule cong :premises (@p16) :args (@t77))
% 0.35/0.59  (step @p257 :rule symm :premises (@p149))
% 0.35/0.59  (step @p258 :rule cong :premises (@p18) :args (@t73))
% 0.35/0.59  (step @p259 :rule symm :premises (@p150))
% 0.35/0.59  (step @p382 :rule cong :premises (@p596 @p596) :args (@t21))
% 0.35/0.59  (step @p383 :rule trans :premises (@p361 @p382 @p259 @p258))
% 0.35/0.59  (step @p384 :rule cong :premises (@p596 @p383) :args (@t18))
% 0.35/0.59  (step @p385 :rule trans :premises (@p359 @p384 @p257 @p256))
% 0.35/0.59  (step @p386 :rule cong :premises (@p383 @p385) :args (@t4))
% 0.35/0.59  (step @p387 :rule trans :premises (@p357 @p386 @p255 @p254))
% 0.35/0.59  (step-pop @p607 :rule scope :premises (@p387))
% 0.35/0.59  (step-pop @p608 :rule scope :premises (@p607))
% 0.35/0.59  (step-pop @p609 :rule scope :premises (@p608))
% 0.35/0.59  (step-pop @p610 :rule scope :premises (@p609))
% 0.35/0.59  (step-pop @p611 :rule scope :premises (@p610))
% 0.35/0.59  (step-pop @p612 :rule scope :premises (@p611))
% 0.35/0.59  (step-pop @p613 :rule scope :premises (@p612))
% 0.35/0.59  (step-pop @p614 :rule scope :premises (@p613))
% 0.35/0.59  (step-pop @p615 :rule scope :premises (@p614))
% 0.35/0.59  (step-pop @p616 :rule scope :premises (@p615))
% 0.35/0.59  (step @p388 :rule process_scope :premises (@p616) :args (@t144))
% 0.35/0.59  (step @p399 :rule and_intro :premises (@p15 @p148 @p19 @p150 @p596 @p361 @p17 @p149 @p359 @p357))
% 0.35/0.59  (step @p400 :rule modus_ponens :premises (@p399 @p388))
% 0.35/0.59  (step-pop @p617 :rule scope :premises (@p400))
% 0.35/0.59  (step-pop @p618 :rule scope :premises (@p617))
% 0.35/0.59  (step-pop @p619 :rule scope :premises (@p618))
% 0.35/0.59  (step-pop @p620 :rule scope :premises (@p619))
% 0.35/0.59  (step-pop @p621 :rule scope :premises (@p620))
% 0.35/0.59  (step-pop @p622 :rule scope :premises (@p621))
% 0.35/0.59  (step-pop @p623 :rule scope :premises (@p622))
% 0.35/0.59  (step-pop @p624 :rule scope :premises (@p623))
% 0.35/0.59  (step-pop @p625 :rule scope :premises (@p624))
% 0.35/0.59  (step-pop @p626 :rule scope :premises (@p625))
% 0.35/0.59  (step @p401 :rule process_scope :premises (@p626) :args (@t144))
% 0.35/0.59  (step @p412 :rule implies_elim :premises (@p401))
% 0.35/0.59  (step @p413 :rule cnf_and_neg :args (@t178))
% 0.35/0.59  (step @p414 :rule resolution :premises (@p413 @p412) :args (true @t178))
% 0.35/0.59  (step @p415 :rule reordering :premises (@p414) :args ((or @t144 (not @t176) (not @t175) (not @t174) @t166 @t165 @t147 @t179 @t163 @t162 @t161)))
% 0.35/0.59  (step @p416 :rule chain_m_resolution :premises (@p415 @p227 @p361 @p359 @p357 @p15 @p17 @p19 @p148 @p149 @p150) :args (@t179 @t167 (@list @t144 @t176 @t175 @t174 @t158 @t157 @t146 @t92 @t78 @t74)))
% 0.35/0.59  (step @p417 :rule not_implies_elim1 :premises (@p145))
% 0.35/0.59  (step @p418 :rule and_elim :premises (@p417) :args (9))
% 0.35/0.59  (step @p419 :rule chain_m_resolution :premises (@p418 @p227 @p416 @p355 @p294) :args (@t180 (@list true true true true) (@list @t144 @t177 @t171 @t159)))
% 0.35/0.59  (assume-push @p627 @t92)
% 0.35/0.59  (assume-push @p628 @t78)
% 0.35/0.59  (assume-push @p629 @t74)
% 0.35/0.59  (assume-push @p630 @t181)
% 0.35/0.59  (assume-push @p631 @t182)
% 0.35/0.59  (assume-push @p632 @t183)
% 0.35/0.59  (assume-push @p633 @t146)
% 0.35/0.59  (assume-push @p634 @t157)
% 0.35/0.59  (assume-push @p635 @t158)
% 0.35/0.59  (assume-push @p636 @t180)
% 0.35/0.59  (assume-push @p637 @t158)
% 0.35/0.59  (assume-push @p638 @t92)
% 0.35/0.59  (assume-push @p639 @t146)
% 0.35/0.59  (assume-push @p640 @t74)
% 0.35/0.59  (assume-push @p641 @t180)
% 0.35/0.59  (assume-push @p642 @t181)
% 0.35/0.59  (assume-push @p643 @t157)
% 0.35/0.59  (assume-push @p644 @t78)
% 0.35/0.59  (assume-push @p645 @t182)
% 0.35/0.59  (assume-push @p646 @t183)
% 0.35/0.59  (step @p254 :rule cong :premises (@p14) :args (@t91))
% 0.35/0.59  (step @p255 :rule symm :premises (@p148))
% 0.35/0.59  (step @p256 :rule cong :premises (@p16) :args (@t77))
% 0.35/0.59  (step @p257 :rule symm :premises (@p149))
% 0.35/0.59  (step @p258 :rule cong :premises (@p18) :args (@t73))
% 0.35/0.59  (step @p259 :rule symm :premises (@p150))
% 0.35/0.59  (step @p440 :rule cong :premises (@p636 @p636) :args (@t3))
% 0.35/0.59  (step @p441 :rule trans :premises (@p13 @p440 @p259 @p258))
% 0.35/0.59  (step @p442 :rule cong :premises (@p636 @p441) :args (@t5))
% 0.35/0.59  (step @p443 :rule trans :premises (@p11 @p442 @p257 @p256))
% 0.35/0.59  (step @p444 :rule cong :premises (@p441 @p443) :args (@t16))
% 0.35/0.59  (step @p445 :rule trans :premises (@p9 @p444 @p255 @p254))
% 0.35/0.59  (step-pop @p647 :rule scope :premises (@p445))
% 0.35/0.59  (step-pop @p648 :rule scope :premises (@p647))
% 0.35/0.59  (step-pop @p649 :rule scope :premises (@p648))
% 0.35/0.59  (step-pop @p650 :rule scope :premises (@p649))
% 0.35/0.59  (step-pop @p651 :rule scope :premises (@p650))
% 0.35/0.59  (step-pop @p652 :rule scope :premises (@p651))
% 0.35/0.59  (step-pop @p653 :rule scope :premises (@p652))
% 0.35/0.59  (step-pop @p654 :rule scope :premises (@p653))
% 0.35/0.59  (step-pop @p655 :rule scope :premises (@p654))
% 0.35/0.59  (step-pop @p656 :rule scope :premises (@p655))
% 0.35/0.59  (step @p446 :rule process_scope :premises (@p656) :args (@t144))
% 0.35/0.59  (step @p457 :rule and_intro :premises (@p15 @p148 @p19 @p150 @p636 @p13 @p17 @p149 @p11 @p9))
% 0.35/0.59  (step @p458 :rule modus_ponens :premises (@p457 @p446))
% 0.35/0.59  (step-pop @p657 :rule scope :premises (@p458))
% 0.35/0.59  (step-pop @p658 :rule scope :premises (@p657))
% 0.35/0.59  (step-pop @p659 :rule scope :premises (@p658))
% 0.35/0.59  (step-pop @p660 :rule scope :premises (@p659))
% 0.35/0.59  (step-pop @p661 :rule scope :premises (@p660))
% 0.35/0.59  (step-pop @p662 :rule scope :premises (@p661))
% 0.35/0.59  (step-pop @p663 :rule scope :premises (@p662))
% 0.35/0.59  (step-pop @p664 :rule scope :premises (@p663))
% 0.35/0.59  (step-pop @p665 :rule scope :premises (@p664))
% 0.35/0.59  (step-pop @p666 :rule scope :premises (@p665))
% 0.35/0.59  (step @p459 :rule process_scope :premises (@p666) :args (@t144))
% 0.35/0.59  (step @p470 :rule implies_elim :premises (@p459))
% 0.35/0.59  (step @p471 :rule cnf_and_neg :args (@t184))
% 0.35/0.59  (step @p472 :rule resolution :premises (@p471 @p470) :args (true @t184))
% 0.35/0.59  (step @p473 :rule reordering :premises (@p472) :args ((or @t144 (not @t183) (not @t182) (not @t181) @t166 @t165 @t147 (not @t180) @t163 @t162 @t161)))
% 0.35/0.59  (step @p474 false :rule chain_m_resolution :premises (@p473 @p419 @p227 @p150 @p149 @p148 @p19 @p17 @p15 @p13 @p11 @p9) :args (false (@list false true false false false false false false false false false) (@list @t180 @t144 @t74 @t78 @t92 @t146 @t157 @t158 @t181 @t182 @t183)))
% 0.35/0.59  )
% 0.35/0.59  % SZS output end Proof
% 0.35/0.59  % cvc5 exiting
%------------------------------------------------------------------------------