cvc5---1.3.4.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : REL048-1 : 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 : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:45:04 AM UTC 2026

% Result   : Unsatisfiable 160.80s 161.11s
% Output   : Proof 160.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : REL048-1 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n015.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 13:52:19 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.34/16.06  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.88/22.08  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.89/28.11  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 34.05/34.23  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 34.10/64.63  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 79.61/79.89  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 79.72/113.41  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 128.39/128.66  --- Run --prenex-quant=none --full-saturate-quant at 30...
% 158.68/159.04  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15...
% 160.80/161.11  % SZS status Unsatisfiable
% 160.80/161.11  % SZS output start Proof
% 160.90/161.13  (
% 160.90/161.13  (declare-sort $$unsorted 0)
% 160.90/161.13  (declare-const tptp.sk1 $$unsorted)
% 160.90/161.13  (declare-const tptp.sk2 $$unsorted)
% 160.90/161.13  (declare-const tptp.top $$unsorted)
% 160.90/161.13  (declare-const tptp.converse (-> $$unsorted $$unsorted))
% 160.90/161.13  (declare-const tptp.sk3 $$unsorted)
% 160.90/161.13  (declare-const tptp.one $$unsorted)
% 160.90/161.13  (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted))
% 160.90/161.13  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 160.90/161.13  (declare-const tptp.complement (-> $$unsorted $$unsorted))
% 160.90/161.13  (declare-const tptp.zero $$unsorted)
% 160.90/161.13  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 160.90/161.13  (define @t1 () (@var "A" $$unsorted))
% 160.90/161.13  (define @t2 () (@var "B" $$unsorted))
% 160.90/161.13  (define @t3 () (tptp.join @t1 @t2))
% 160.90/161.13  (define @t4 () (@list @t1 @t2))
% 160.90/161.13  (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1))))
% 160.90/161.13  (define @t6 () (@var "C" $$unsorted))
% 160.90/161.13  (define @t7 () (@list @t1 @t2 @t6))
% 160.90/161.13  (define @t8 () (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6))))
% 160.90/161.13  (define @t9 () (tptp.complement @t1))
% 160.90/161.13  (define @t10 () (tptp.complement @t2))
% 160.90/161.13  (define @t11 () (tptp.complement (tptp.join @t9 @t10)))
% 160.90/161.13  (define @t12 () (tptp.meet @t1 @t2))
% 160.90/161.13  (define @t13 () (forall @t4 (= @t12 @t11)))
% 160.90/161.13  (define @t14 () (tptp.composition @t1 @t2))
% 160.90/161.13  (define @t15 () (tptp.composition @t2 @t6))
% 160.90/161.13  (define @t16 () (forall @t7 (= (tptp.composition @t1 @t15) (tptp.composition @t14 @t6))))
% 160.90/161.13  (define @t17 () (tptp.composition @t1 tptp.one))
% 160.90/161.13  (define @t18 () (@list @t1))
% 160.90/161.13  (define @t19 () (forall @t18 (= @t17 @t1)))
% 160.90/161.13  (define @t20 () (tptp.converse @t1))
% 160.90/161.13  (define @t21 () (tptp.converse @t20))
% 160.90/161.13  (define @t22 () (forall @t18 (= @t21 @t1)))
% 160.90/161.13  (define @t23 () (tptp.converse @t2))
% 160.90/161.13  (define @t24 () (forall @t4 (= (tptp.converse @t3) (tptp.join @t20 @t23))))
% 160.90/161.13  (define @t25 () (forall @t4 (= (tptp.converse @t14) (tptp.composition @t23 @t20))))
% 160.90/161.13  (define @t26 () (tptp.join (tptp.composition @t20 (tptp.complement @t14)) @t10))
% 160.90/161.13  (define @t27 () (forall @t4 (= @t26 @t10)))
% 160.90/161.13  (define @t28 () (tptp.join tptp.sk1 tptp.sk2))
% 160.90/161.13  (define @t29 () (tptp.join @t28 tptp.sk3))
% 160.90/161.13  (define @t30 () (tptp.join tptp.sk2 tptp.sk3))
% 160.90/161.13  (define @t31 () (not (= @t30 tptp.sk3)))
% 160.90/161.13  (define @t32 () (tptp.join tptp.sk1 tptp.sk3))
% 160.90/161.13  (define @t33 () (not (= @t32 tptp.sk3)))
% 160.90/161.13  (define @t34 () (or @t33 @t31))
% 160.90/161.13  (define @t35 () (tptp.join tptp.sk1 @t30))
% 160.90/161.13  (define @t36 () (tptp.join tptp.sk2 tptp.sk1))
% 160.90/161.13  (define @t37 () (tptp.complement tptp.sk1))
% 160.90/161.13  (define @t38 () (@list tptp.sk1 @t37))
% 160.90/161.13  (define @t39 () (tptp.complement (tptp.join @t37 @t37)))
% 160.90/161.13  (define @t40 () (tptp.complement (tptp.join @t37 (tptp.complement @t37))))
% 160.90/161.13  (define @t41 () (tptp.meet tptp.sk1 @t37))
% 160.90/161.13  (define @t42 () (forall @t4 (= @t11 @t12)))
% 160.90/161.13  (define @t43 () (= @t40 @t41))
% 160.90/161.13  (define @t44 () (@list false))
% 160.90/161.13  (define @t45 () (@list @t42))
% 160.90/161.13  (define @t46 () (@list tptp.sk1))
% 160.90/161.13  (define @t47 () (@list tptp.one))
% 160.90/161.13  (define @t48 () (tptp.complement tptp.one))
% 160.90/161.13  (define @t49 () (@list tptp.one @t48))
% 160.90/161.13  (define @t50 () (@list @t48))
% 160.90/161.13  (define @t51 () (tptp.join tptp.one @t48))
% 160.90/161.13  (define @t52 () (tptp.join @t48 tptp.one))
% 160.90/161.13  (define @t53 () (= @t51 @t52))
% 160.90/161.13  (define @t54 () (tptp.complement @t52))
% 160.90/161.13  (define @t55 () (@list tptp.one @t52))
% 160.90/161.13  (define @t56 () (tptp.converse tptp.one))
% 160.90/161.13  (define @t57 () (tptp.composition @t56 (tptp.complement (tptp.composition tptp.one @t52))))
% 160.90/161.13  (define @t58 () (tptp.join @t57 @t40))
% 160.90/161.13  (define @t59 () (tptp.join @t57 tptp.sk1))
% 160.90/161.13  (define @t60 () (tptp.join @t30 tptp.sk2))
% 160.90/161.13  (define @t61 () (tptp.converse tptp.sk1))
% 160.90/161.13  (define @t62 () (@list tptp.one tptp.one))
% 160.90/161.13  (define @t63 () (@list @t54 tptp.one))
% 160.90/161.13  (define @t64 () (tptp.join @t48 @t48))
% 160.90/161.13  (define @t65 () (tptp.complement @t64))
% 160.90/161.13  (define @t66 () (@list @t65 @t54))
% 160.90/161.13  (define @t67 () (tptp.complement @t54))
% 160.90/161.13  (define @t68 () (tptp.join @t65 @t52))
% 160.90/161.13  (define @t69 () (tptp.complement @t68))
% 160.90/161.13  (define @t70 () (tptp.join @t65 @t54))
% 160.90/161.13  (define @t71 () (tptp.complement @t70))
% 160.90/161.13  (define @t72 () (tptp.join @t69 @t48))
% 160.90/161.13  (define @t73 () (tptp.composition tptp.one tptp.one))
% 160.90/161.13  (define @t74 () (tptp.complement @t73))
% 160.90/161.13  (define @t75 () (tptp.composition @t56 @t74))
% 160.90/161.13  (define @t76 () (tptp.join @t52 tptp.one))
% 160.90/161.13  (define @t77 () (tptp.join @t48 @t52))
% 160.90/161.13  (define @t78 () (tptp.complement @t77))
% 160.90/161.13  (define @t79 () (tptp.join @t48 @t54))
% 160.90/161.13  (define @t80 () (tptp.complement @t79))
% 160.90/161.13  (define @t81 () (tptp.join @t80 @t78))
% 160.90/161.13  (define @t82 () (tptp.join @t68 @t69))
% 160.90/161.13  (define @t83 () (tptp.join tptp.one @t52))
% 160.90/161.13  (define @t84 () (tptp.join @t54 @t48))
% 160.90/161.13  (define @t85 () (tptp.join @t52 @t80))
% 160.90/161.13  (define @t86 () (tptp.join @t52 @t48))
% 160.90/161.13  (define @t87 () (tptp.join @t80 @t77))
% 160.90/161.13  (define @t88 () (tptp.complement @t87))
% 160.90/161.13  (define @t89 () (tptp.complement @t81))
% 160.90/161.13  (define @t90 () (@list @t54))
% 160.90/161.13  (define @t91 () (tptp.complement (tptp.join @t48 @t68)))
% 160.90/161.13  (define @t92 () (tptp.complement (tptp.join @t48 @t69)))
% 160.90/161.13  (define @t93 () (tptp.join @t92 @t91))
% 160.90/161.13  (define @t94 () (tptp.join @t80 @t52))
% 160.90/161.13  (define @t95 () (tptp.join @t48 @t87))
% 160.90/161.13  (define @t96 () (tptp.join @t48 @t67))
% 160.90/161.13  (define @t97 () (tptp.complement @t96))
% 160.90/161.13  (define @t98 () (tptp.join @t97 @t91))
% 160.90/161.13  (define @t99 () (tptp.complement (tptp.join @t67 @t48)))
% 160.90/161.13  (define @t100 () (tptp.join @t99 (tptp.complement (tptp.join @t67 tptp.one))))
% 160.90/161.13  (define @t101 () (tptp.join @t54 @t54))
% 160.90/161.13  (define @t102 () (tptp.converse @t54))
% 160.90/161.13  (define @t103 () (tptp.converse @t102))
% 160.90/161.13  (define @t104 () (@list @t65))
% 160.90/161.13  (define @t105 () (tptp.join @t102 @t102))
% 160.90/161.13  (define @t106 () (tptp.converse @t105))
% 160.90/161.13  (define @t107 () (tptp.converse @t65))
% 160.90/161.13  (define @t108 () (tptp.converse @t107))
% 160.90/161.13  (define @t109 () (tptp.join @t91 @t54))
% 160.90/161.13  (define @t110 () (tptp.converse @t56))
% 160.90/161.13  (define @t111 () (tptp.join @t54 tptp.one))
% 160.90/161.13  (define @t112 () (tptp.converse @t111))
% 160.90/161.13  (define @t113 () (tptp.converse @t112))
% 160.90/161.13  (define @t114 () (tptp.composition tptp.one @t111))
% 160.90/161.13  (define @t115 () (tptp.converse @t114))
% 160.90/161.13  (define @t116 () (tptp.composition @t112 @t56))
% 160.90/161.13  (define @t117 () (= @t115 @t116))
% 160.90/161.13  (define @t118 () (@list tptp.one @t111))
% 160.90/161.13  (define @t119 () (tptp.composition @t56 @t56))
% 160.90/161.13  (define @t120 () (tptp.composition @t112 @t119))
% 160.90/161.13  (define @t121 () (tptp.composition @t116 @t56))
% 160.90/161.13  (define @t122 () (= @t120 @t121))
% 160.90/161.13  (define @t123 () (@list @t112 @t56 @t56))
% 160.90/161.13  (define @t124 () (@list @t16))
% 160.90/161.13  (define @t125 () (tptp.join @t102 @t56))
% 160.90/161.13  (define @t126 () (= @t112 @t125))
% 160.90/161.13  (define @t127 () (tptp.composition @t102 @t56))
% 160.90/161.13  (define @t128 () (tptp.join @t127 @t56))
% 160.90/161.13  (define @t129 () (tptp.join @t65 tptp.one))
% 160.90/161.13  (define @t130 () (tptp.complement @t129))
% 160.90/161.13  (define @t131 () (tptp.complement (tptp.join @t65 @t48)))
% 160.90/161.13  (define @t132 () (tptp.join @t52 @t131))
% 160.90/161.13  (define @t133 () (tptp.join @t48 @t65))
% 160.90/161.13  (define @t134 () (tptp.complement @t133))
% 160.90/161.13  (define @t135 () (tptp.join @t130 @t83))
% 160.90/161.13  (define @t136 () (tptp.join @t130 @t52))
% 160.90/161.13  (define @t137 () (tptp.complement @t136))
% 160.90/161.13  (define @t138 () (tptp.complement @t84))
% 160.90/161.13  (define @t139 () (tptp.converse @t48))
% 160.90/161.13  (define @t140 () (tptp.composition @t102 @t75))
% 160.90/161.13  (define @t141 () (tptp.composition @t107 @t75))
% 160.90/161.13  (define @t142 () (tptp.complement @t48))
% 160.90/161.13  (define @t143 () (tptp.meet tptp.one @t48))
% 160.90/161.13  (define @t144 () (tptp.join @t130 @t54))
% 160.90/161.13  (define @t145 () (tptp.complement @t144))
% 160.90/161.13  (define @t146 () (tptp.join @t65 @t92))
% 160.90/161.13  (define @t147 () (tptp.join @t146 @t54))
% 160.90/161.13  (define @t148 () (tptp.composition @t54 tptp.one))
% 160.90/161.13  (define @t149 () (tptp.composition @t106 @t110))
% 160.90/161.13  (define @t150 () (tptp.composition @t56 @t102))
% 160.90/161.13  (define @t151 () (tptp.join @t56 @t56))
% 160.90/161.13  (define @t152 () (tptp.join tptp.one tptp.one))
% 160.90/161.13  (define @t153 () (tptp.composition @t91 @t152))
% 160.90/161.13  (define @t154 () (tptp.composition @t153 tptp.one))
% 160.90/161.13  (define @t155 () (tptp.composition @t56 @t107))
% 160.90/161.13  (define @t156 () (tptp.composition @t92 @t152))
% 160.90/161.13  (define @t157 () (tptp.composition @t152 tptp.one))
% 160.90/161.13  (define @t158 () (tptp.composition @t92 @t157))
% 160.90/161.13  (define @t159 () (tptp.composition @t156 tptp.one))
% 160.90/161.13  (define @t160 () (= @t158 @t159))
% 160.90/161.13  (define @t161 () (@list @t92 @t152 tptp.one))
% 160.90/161.13  (define @t162 () (tptp.composition tptp.one @t152))
% 160.90/161.13  (define @t163 () (tptp.converse @t151))
% 160.90/161.13  (define @t164 () (tptp.join @t61 @t61))
% 160.90/161.13  (define @t165 () (tptp.join tptp.sk1 tptp.sk1))
% 160.90/161.13  (define @t166 () (tptp.join tptp.sk2 @t28))
% 160.90/161.13  (define @t167 () (tptp.join @t166 @t30))
% 160.90/161.13  (define @t168 () (tptp.join tptp.sk2 tptp.sk2))
% 160.90/161.13  (define @t169 () (tptp.join @t168 @t30))
% 160.90/161.13  (define @t170 () (tptp.join @t169 tptp.sk1))
% 160.90/161.13  (define @t171 () (tptp.join tptp.sk2 @t165))
% 160.90/161.13  (define @t172 () (tptp.join @t36 tptp.sk1))
% 160.90/161.13  (define @t173 () (= @t171 @t172))
% 160.90/161.13  (define @t174 () (@list @t8))
% 160.90/161.13  (define @t175 () (tptp.join @t28 tptp.sk1))
% 160.90/161.13  (define @t176 () (tptp.join tptp.sk1 @t28))
% 160.90/161.13  (define @t177 () (tptp.join tptp.sk1 @t175))
% 160.90/161.13  (define @t178 () (tptp.join @t176 tptp.sk1))
% 160.90/161.13  (define @t179 () (= @t177 @t178))
% 160.90/161.13  (define @t180 () (tptp.join tptp.sk2 @t30))
% 160.90/161.13  (define @t181 () (tptp.join tptp.sk2 @t32))
% 160.90/161.13  (define @t182 () (tptp.join @t176 tptp.sk2))
% 160.90/161.13  (define @t183 () (tptp.join @t32 @t176))
% 160.90/161.13  (define @t184 () (tptp.join @t178 @t30))
% 160.90/161.13  (define @t185 () (tptp.join tptp.sk3 @t165))
% 160.90/161.13  (define @t186 () (tptp.join @t182 tptp.sk2))
% 160.90/161.13  (define @t187 () (tptp.converse @t61))
% 160.90/161.13  (define @t188 () (tptp.composition @t56 @t61))
% 160.90/161.13  (define @t189 () (tptp.join @t97 @t52))
% 160.90/161.13  (define @t190 () (tptp.complement @t189))
% 160.90/161.13  (define @t191 () (tptp.join @t97 @t54))
% 160.90/161.13  (define @t192 () (tptp.complement @t191))
% 160.90/161.13  (define @t193 () (tptp.join @t107 @t107))
% 160.90/161.13  (define @t194 () (tptp.join @t48 @t78))
% 160.90/161.13  (define @t195 () (tptp.complement (tptp.join @t48 @t142)))
% 160.90/161.13  (define @t196 () (= @t195 @t143))
% 160.90/161.13  (define @t197 () (tptp.join @t30 @t172))
% 160.90/161.13  (define @t198 () (tptp.join @t28 @t28))
% 160.90/161.13  (define @t199 () (tptp.join @t198 tptp.sk2))
% 160.90/161.13  (define @t200 () (tptp.join @t30 tptp.sk1))
% 160.90/161.13  (define @t201 () (tptp.join @t166 tptp.sk1))
% 160.90/161.13  (define @t202 () (tptp.join tptp.sk2 @t201))
% 160.90/161.13  (define @t203 () (tptp.join @t30 @t57))
% 160.90/161.13  (define @t204 () (= @t35 @t29))
% 160.90/161.13  (assume @p1 @t5)
% 160.90/161.13  (assume @p2 @t8)
% 160.90/161.13  (assume @p3 (forall @t4 (= @t1 (tptp.join @t11 (tptp.complement (tptp.join @t9 @t2))))))
% 160.90/161.13  (assume @p4 @t13)
% 160.90/161.13  (assume @p5 @t16)
% 160.90/161.13  (assume @p6 @t19)
% 160.90/161.13  (assume @p7 (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t15))))
% 160.90/161.13  (assume @p8 @t22)
% 160.90/161.13  (assume @p9 @t24)
% 160.90/161.13  (assume @p10 @t25)
% 160.90/161.13  (assume @p11 @t27)
% 160.90/161.13  (assume @p12 (forall @t18 (= tptp.top (tptp.join @t1 @t9))))
% 160.90/161.13  (assume @p13 (forall @t18 (= tptp.zero (tptp.meet @t1 @t9))))
% 160.90/161.13  (assume @p14 (= @t29 tptp.sk3))
% 160.90/161.13  (assume @p15 @t34)
% 160.90/161.13  (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.sk2 tptp.sk3)))
% 160.90/161.13  (step @p17 :rule trans :premises (@p16 @p14))
% 160.90/161.13  (step @p18 :rule refl :args (tptp.sk2))
% 160.90/161.13  (step @p19 :rule cong :premises (@p18 @p17) :args ((tptp.join tptp.sk2 @t35)))
% 160.90/161.13  (step @p20 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 tptp.sk1 @t30)))
% 160.90/161.13  (step @p21 :rule symm :premises (@p20))
% 160.90/161.13  (step @p22 :rule instantiate :premises (@p1) :args ((@list @t36 @t30)))
% 160.90/161.13  (step @p23 :rule symm :premises (@p22))
% 160.90/161.13  (step @p24 :rule instantiate :premises (@p2) :args ((@list @t30 tptp.sk2 tptp.sk1)))
% 160.90/161.13  (step @p25 :rule symm :premises (@p24))
% 160.90/161.13  (step @p26 :rule instantiate :premises (@p3) :args (@t38))
% 160.90/161.13  (step @p27 :rule symm :premises (@p26))
% 160.90/161.13  (step @p28 :rule refl :args (@t39))
% 160.90/161.13  (step @p29 :rule eq-symm :args (@t12 @t11))
% 160.90/161.13  (step @p30 :rule cong :premises (@p29) :args (@t13))
% 160.90/161.13  (step @p31 :rule eq_resolve :premises (@p4 @p30))
% 160.90/161.13  (step @p32 :rule eq-symm :args (@t40 @t41))
% 160.90/161.13  (step @p33 :rule refl :args (@t42))
% 160.90/161.13  (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t42 @t43)))
% 160.90/161.13  (assume-push @p912 @t42)
% 160.90/161.13  (step @p36 :rule instantiate :premises (@p31) :args (@t38))
% 160.90/161.13  (step-pop @p913 :rule scope :premises (@p36))
% 160.90/161.13  (step @p37 :rule process_scope :premises (@p913) :args (@t43))
% 160.90/161.13  (step @p39 :rule eq_resolve :premises (@p37 @p34))
% 160.90/161.13  (step @p40 :rule implies_elim :premises (@p39))
% 160.90/161.13  (step @p41 :rule chain_m_resolution :premises (@p40 @p31) :args ((= @t41 @t40) @t44 @t45))
% 160.90/161.13  (step @p42 :rule instantiate :premises (@p13) :args (@t46))
% 160.90/161.13  (step @p43 :rule instantiate :premises (@p13) :args (@t47))
% 160.90/161.13  (step @p44 :rule symm :premises (@p43))
% 160.90/161.13  (step @p45 :rule instantiate :premises (@p31) :args (@t49))
% 160.90/161.13  (step @p46 :rule instantiate :premises (@p12) :args (@t50))
% 160.90/161.13  (step @p47 :rule instantiate :premises (@p12) :args (@t47))
% 160.90/161.13  (step @p48 :rule symm :premises (@p47))
% 160.90/161.13  (step @p49 :rule eq-symm :args (@t51 @t52))
% 160.90/161.13  (step @p50 :rule refl :args (@t5))
% 160.90/161.13  (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t5 @t53)))
% 160.90/161.13  (assume-push @p914 @t5)
% 160.90/161.13  (step @p53 :rule instantiate :premises (@p1) :args (@t49))
% 160.90/161.13  (step-pop @p915 :rule scope :premises (@p53))
% 160.90/161.13  (step @p54 :rule process_scope :premises (@p915) :args (@t53))
% 160.90/161.13  (step @p56 :rule eq_resolve :premises (@p54 @p51))
% 160.90/161.13  (step @p57 :rule implies_elim :premises (@p56))
% 160.90/161.13  (step @p58 :rule chain_m_resolution :premises (@p57 @p1) :args ((= @t52 @t51) @t44 (@list @t5)))
% 160.90/161.13  (step @p59 :rule trans :premises (@p58 @p48 @p46))
% 160.90/161.13  (step @p60 :rule cong :premises (@p59) :args (@t54))
% 160.90/161.13  (step @p61 :rule trans :premises (@p60 @p45 @p44 @p42 @p41))
% 160.90/161.13  (step @p62 :rule eq-symm :args (@t26 @t10))
% 160.90/161.13  (step @p63 :rule cong :premises (@p62) :args (@t27))
% 160.90/161.13  (step @p64 :rule eq_resolve :premises (@p11 @p63))
% 160.90/161.13  (step @p65 :rule instantiate :premises (@p64) :args (@t55))
% 160.90/161.13  (step @p66 :rule symm :premises (@p65))
% 160.90/161.13  (step @p67 :rule symm :premises (@p61))
% 160.90/161.13  (step @p68 :rule refl :args (@t57))
% 160.90/161.13  (step @p69 :rule cong :premises (@p68 @p67) :args (@t58))
% 160.90/161.13  (step @p70 :rule trans :premises (@p69 @p66))
% 160.90/161.13  (step @p71 :rule trans :premises (@p70 @p61))
% 160.90/161.13  (step @p72 :rule cong :premises (@p71 @p28) :args ((tptp.join @t58 @t39)))
% 160.90/161.13  (step @p73 :rule instantiate :premises (@p2) :args ((@list @t57 @t40 @t39)))
% 160.90/161.13  (step @p74 :rule cong :premises (@p68 @p26) :args (@t59))
% 160.90/161.13  (step @p75 :rule trans :premises (@p74 @p73 @p72 @p27))
% 160.90/161.13  (step @p76 :rule refl :args (@t60))
% 160.90/161.13  (step @p77 :rule cong :premises (@p76 @p75) :args ((tptp.join @t60 @t59)))
% 160.90/161.13  (step @p78 :rule instantiate :premises (@p2) :args ((@list @t60 @t57 tptp.sk1)))
% 160.90/161.13  (step @p79 :rule symm :premises (@p78))
% 160.90/161.13  (step @p80 :rule eq-symm :args (@t21 @t1))
% 160.90/161.13  (step @p81 :rule cong :premises (@p80) :args (@t22))
% 160.90/161.13  (step @p82 :rule eq_resolve :premises (@p8 @p81))
% 160.90/161.13  (step @p83 :rule instantiate :premises (@p82) :args (@t46))
% 160.90/161.13  (step @p84 :rule symm :premises (@p83))
% 160.90/161.13  (step @p85 :rule eq-symm :args (@t17 @t1))
% 160.90/161.13  (step @p86 :rule cong :premises (@p85) :args (@t19))
% 160.90/161.13  (step @p87 :rule eq_resolve :premises (@p6 @p86))
% 160.90/161.13  (step @p88 :rule instantiate :premises (@p87) :args (@t46))
% 160.90/161.13  (step @p89 :rule symm :premises (@p88))
% 160.90/161.13  (step @p90 :rule cong :premises (@p89) :args ((tptp.converse (tptp.composition tptp.sk1 tptp.one))))
% 160.90/161.13  (step @p91 :rule instantiate :premises (@p10) :args ((@list tptp.sk1 tptp.one)))
% 160.90/161.13  (step @p92 :rule symm :premises (@p91))
% 160.90/161.13  (step @p93 :rule refl :args (@t61))
% 160.90/161.13  (step @p94 :rule instantiate :premises (@p87) :args (@t47))
% 160.90/161.13  (step @p95 :rule symm :premises (@p94))
% 160.90/161.13  (step @p96 :rule instantiate :premises (@p3) :args (@t62))
% 160.90/161.13  (step @p97 :rule symm :premises (@p96))
% 160.90/161.13  (step @p98 :rule instantiate :premises (@p3) :args (@t63))
% 160.90/161.13  (step @p99 :rule symm :premises (@p98))
% 160.90/161.13  (step @p100 :rule instantiate :premises (@p1) :args (@t66))
% 160.90/161.13  (step @p101 :rule symm :premises (@p100))
% 160.90/161.13  (step @p102 :rule trans :premises (@p101 @p97))
% 160.90/161.13  (step @p103 :rule refl :args (@t67))
% 160.90/161.13  (step @p104 :rule cong :premises (@p103 @p102) :args ((tptp.join @t67 (tptp.join @t54 @t65))))
% 160.90/161.13  (step @p105 :rule instantiate :premises (@p2) :args ((@list @t67 @t54 @t65)))
% 160.90/161.13  (step @p106 :rule symm :premises (@p105))
% 160.90/161.13  (step @p107 :rule instantiate :premises (@p3) :args ((@list @t64 @t52)))
% 160.90/161.13  (step @p108 :rule symm :premises (@p107))
% 160.90/161.13  (step @p109 :rule instantiate :premises (@p1) :args ((@list @t71 @t69)))
% 160.90/161.13  (step @p110 :rule symm :premises (@p109))
% 160.90/161.13  (step @p111 :rule cong :premises (@p96) :args (@t48))
% 160.90/161.13  (step @p112 :rule refl :args (@t69))
% 160.90/161.13  (step @p113 :rule cong :premises (@p112 @p111) :args (@t72))
% 160.90/161.13  (step @p114 :rule trans :premises (@p113 @p110 @p108))
% 160.90/161.13  (step @p115 :rule cong :premises (@p114) :args ((tptp.complement @t72)))
% 160.90/161.13  (step @p116 :rule symm :premises (@p113))
% 160.90/161.13  (step @p117 :rule instantiate :premises (@p64) :args (@t62))
% 160.90/161.13  (step @p118 :rule symm :premises (@p117))
% 160.90/161.13  (step @p119 :rule refl :args (@t75))
% 160.90/161.13  (step @p120 :rule cong :premises (@p119 @p118) :args ((tptp.join @t75 (tptp.join @t75 @t48))))
% 160.90/161.13  (step @p121 :rule instantiate :premises (@p2) :args ((@list @t75 @t75 @t48)))
% 160.90/161.13  (step @p122 :rule symm :premises (@p121))
% 160.90/161.13  (step @p123 :rule trans :premises (@p122 @p120 @p118))
% 160.90/161.13  (step @p124 :rule trans :premises (@p123 @p111))
% 160.90/161.13  (step @p125 :rule cong :premises (@p124 @p112) :args ((tptp.join (tptp.join (tptp.join @t75 @t75) @t48) @t69)))
% 160.90/161.13  (step @p126 :rule symm :premises (@p123))
% 160.90/161.13  (step @p127 :rule instantiate :premises (@p64) :args ((@list @t52 tptp.one)))
% 160.90/161.13  (step @p128 :rule symm :premises (@p127))
% 160.90/161.13  (step @p129 :rule trans :premises (@p128 @p126))
% 160.90/161.13  (step @p130 :rule cong :premises (@p129 @p112) :args ((tptp.join (tptp.join (tptp.composition (tptp.converse @t52) (tptp.complement (tptp.composition @t52 tptp.one))) @t48) @t69)))
% 160.90/161.13  (step @p131 :rule instantiate :premises (@p1) :args ((@list @t65 @t52)))
% 160.90/161.13  (step @p132 :rule symm :premises (@p131))
% 160.90/161.13  (step @p133 :rule refl :args (@t65))
% 160.90/161.13  (step @p53 :rule instantiate :premises (@p1) :args (@t49))
% 160.90/161.13  (step @p134 :rule instantiate :premises (@p12) :args ((@list @t52)))
% 160.90/161.13  (step @p135 :rule symm :premises (@p134))
% 160.90/161.13  (step @p136 :rule trans :premises (@p135 @p47 @p53))
% 160.90/161.13  (step @p137 :rule cong :premises (@p136 @p133) :args ((tptp.join (tptp.join @t52 @t54) @t65)))
% 160.90/161.13  (step @p138 :rule instantiate :premises (@p2) :args ((@list @t52 @t54 @t65)))
% 160.90/161.13  (step @p139 :rule symm :premises (@p102))
% 160.90/161.13  (step @p140 :rule refl :args (@t52))
% 160.90/161.13  (step @p141 :rule cong :premises (@p140 @p139) :args (@t76))
% 160.90/161.13  (step @p142 :rule instantiate :premises (@p1) :args (@t55))
% 160.90/161.13  (step @p143 :rule instantiate :premises (@p3) :args (@t55))
% 160.90/161.13  (step @p144 :rule symm :premises (@p143))
% 160.90/161.13  (step @p145 :rule cong :premises (@p144 @p140) :args ((tptp.join @t81 @t52)))
% 160.90/161.13  (step @p146 :rule instantiate :premises (@p2) :args ((@list @t80 @t78 @t52)))
% 160.90/161.13  (step @p147 :rule instantiate :premises (@p12) :args ((@list @t68)))
% 160.90/161.13  (step @p148 :rule symm :premises (@p147))
% 160.90/161.13  (step @p149 :rule trans :premises (@p148 @p47 @p53))
% 160.90/161.13  (step @p150 :rule refl :args (@t78))
% 160.90/161.13  (step @p151 :rule cong :premises (@p150 @p149) :args ((tptp.join @t78 @t82)))
% 160.90/161.13  (step @p152 :rule instantiate :premises (@p2) :args ((@list @t78 @t68 @t69)))
% 160.90/161.13  (step @p153 :rule symm :premises (@p152))
% 160.90/161.13  (step @p154 :rule trans :premises (@p142 @p141 @p138 @p137 @p132))
% 160.90/161.13  (step @p155 :rule cong :premises (@p150 @p154) :args ((tptp.join @t78 @t83)))
% 160.90/161.13  (step @p156 :rule symm :premises (@p142))
% 160.90/161.13  (step @p157 :rule symm :premises (@p141))
% 160.90/161.13  (step @p158 :rule symm :premises (@p138))
% 160.90/161.13  (step @p159 :rule symm :premises (@p137))
% 160.90/161.13  (step @p160 :rule instantiate :premises (@p12) :args ((@list @t79)))
% 160.90/161.13  (step @p161 :rule symm :premises (@p160))
% 160.90/161.13  (step @p162 :rule trans :premises (@p161 @p47 @p53))
% 160.90/161.13  (step @p163 :rule cong :premises (@p133 @p162) :args ((tptp.join @t65 (tptp.join @t79 @t80))))
% 160.90/161.13  (step @p164 :rule instantiate :premises (@p2) :args ((@list @t65 @t79 @t80)))
% 160.90/161.13  (step @p165 :rule symm :premises (@p164))
% 160.90/161.13  (step @p166 :rule refl :args (@t80))
% 160.90/161.13  (step @p167 :rule instantiate :premises (@p1) :args ((@list @t54 @t48)))
% 160.90/161.13  (step @p168 :rule cong :premises (@p133 @p167) :args ((tptp.join @t65 @t84)))
% 160.90/161.13  (step @p169 :rule instantiate :premises (@p2) :args ((@list @t65 @t54 @t48)))
% 160.90/161.13  (step @p170 :rule symm :premises (@p169))
% 160.90/161.13  (step @p171 :rule refl :args (@t48))
% 160.90/161.13  (step @p172 :rule cong :premises (@p96 @p171) :args (@t51))
% 160.90/161.13  (step @p173 :rule trans :premises (@p58 @p172 @p170 @p168))
% 160.90/161.13  (step @p174 :rule cong :premises (@p173 @p166) :args (@t85))
% 160.90/161.13  (step @p175 :rule trans :premises (@p174 @p165 @p163 @p131 @p159 @p158 @p157 @p156))
% 160.90/161.13  (step @p176 :rule cong :premises (@p150 @p175) :args ((tptp.join @t78 @t85)))
% 160.90/161.13  (step @p177 :rule instantiate :premises (@p1) :args ((@list @t85 @t78)))
% 160.90/161.13  (step @p178 :rule instantiate :premises (@p2) :args ((@list @t52 @t80 @t78)))
% 160.90/161.13  (step @p179 :rule cong :premises (@p140 @p143) :args (@t76))
% 160.90/161.13  (step @p180 :rule trans :premises (@p142 @p179 @p178 @p177 @p176 @p155))
% 160.90/161.13  (step @p181 :rule symm :premises (@p154))
% 160.90/161.13  (step @p182 :rule trans :premises (@p181 @p180))
% 160.90/161.13  (step @p183 :rule cong :premises (@p182 @p112) :args (@t82))
% 160.90/161.13  (step @p184 :rule instantiate :premises (@p12) :args ((@list @t77)))
% 160.90/161.13  (step @p185 :rule symm :premises (@p184))
% 160.90/161.13  (step @p186 :rule instantiate :premises (@p1) :args ((@list @t77 @t78)))
% 160.90/161.13  (step @p187 :rule symm :premises (@p186))
% 160.90/161.13  (step @p188 :rule instantiate :premises (@p1) :args ((@list @t48 @t52)))
% 160.90/161.13  (step @p189 :rule symm :premises (@p188))
% 160.90/161.13  (step @p190 :rule cong :premises (@p150 @p189) :args ((tptp.join @t78 @t86)))
% 160.90/161.13  (step @p191 :rule instantiate :premises (@p2) :args ((@list @t78 @t52 @t48)))
% 160.90/161.13  (step @p192 :rule symm :premises (@p191))
% 160.90/161.13  (step @p193 :rule trans :premises (@p58 @p48 @p147 @p183 @p153 @p151))
% 160.90/161.13  (step @p194 :rule cong :premises (@p193 @p171) :args (@t86))
% 160.90/161.13  (step @p195 :rule trans :premises (@p194 @p192 @p190 @p187 @p185 @p147 @p183 @p153 @p151))
% 160.90/161.13  (step @p196 :rule cong :premises (@p166 @p195) :args ((tptp.join @t80 @t86)))
% 160.90/161.13  (step @p197 :rule cong :premises (@p166 @p188) :args (@t87))
% 160.90/161.13  (step @p198 :rule trans :premises (@p197 @p196 @p146 @p145 @p142 @p141 @p138 @p137 @p132))
% 160.90/161.13  (step @p199 :rule cong :premises (@p198) :args (@t88))
% 160.90/161.13  (step @p200 :rule cong :premises (@p144) :args (@t89))
% 160.90/161.13  (step @p201 :rule trans :premises (@p200 @p127))
% 160.90/161.13  (step @p202 :rule cong :premises (@p201 @p199) :args ((tptp.join @t89 @t88)))
% 160.90/161.13  (step @p203 :rule instantiate :premises (@p3) :args ((@list @t79 @t77)))
% 160.90/161.13  (step @p204 :rule trans :premises (@p203 @p202 @p130 @p125 @p109 @p116))
% 160.90/161.13  (step @p205 :rule cong :premises (@p204) :args (@t80))
% 160.90/161.13  (step @p206 :rule trans :premises (@p205 @p115))
% 160.90/161.13  (step @p207 :rule instantiate :premises (@p1) :args ((@list @t54 @t67)))
% 160.90/161.13  (step @p208 :rule instantiate :premises (@p12) :args (@t90))
% 160.90/161.13  (step @p209 :rule trans :premises (@p58 @p48 @p208 @p207))
% 160.90/161.13  (step @p210 :rule cong :premises (@p209 @p206) :args (@t85))
% 160.90/161.13  (step @p211 :rule symm :premises (@p174))
% 160.90/161.13  (step @p212 :rule symm :premises (@p163))
% 160.90/161.13  (step @p213 :rule instantiate :premises (@p3) :args ((@list tptp.one @t68)))
% 160.90/161.13  (step @p214 :rule symm :premises (@p213))
% 160.90/161.13  (step @p215 :rule cong :premises (@p140 @p214) :args ((tptp.join @t52 @t93)))
% 160.90/161.13  (step @p216 :rule instantiate :premises (@p2) :args ((@list @t52 @t92 @t91)))
% 160.90/161.13  (step @p217 :rule symm :premises (@p216))
% 160.90/161.13  (step @p218 :rule instantiate :premises (@p1) :args ((@list @t48 @t68)))
% 160.90/161.13  (step @p219 :rule symm :premises (@p218))
% 160.90/161.13  (step @p220 :rule cong :premises (@p166 @p193) :args (@t94))
% 160.90/161.13  (step @p221 :rule trans :premises (@p220 @p146 @p145))
% 160.90/161.13  (step @p222 :rule trans :premises (@p221 @p154))
% 160.90/161.13  (step @p223 :rule cong :premises (@p222 @p171) :args ((tptp.join @t94 @t48)))
% 160.90/161.13  (step @p224 :rule instantiate :premises (@p2) :args ((@list @t80 @t52 @t48)))
% 160.90/161.13  (step @p225 :rule trans :premises (@p197 @p224 @p223 @p219))
% 160.90/161.13  (step @p226 :rule cong :premises (@p225) :args (@t88))
% 160.90/161.13  (step @p227 :rule symm :premises (@p199))
% 160.90/161.13  (step @p228 :rule trans :premises (@p227 @p226))
% 160.90/161.13  (step @p229 :rule symm :premises (@p111))
% 160.90/161.13  (step @p230 :rule cong :premises (@p229 @p112) :args ((tptp.join @t71 @t69)))
% 160.90/161.13  (step @p231 :rule trans :premises (@p107 @p230))
% 160.90/161.13  (step @p232 :rule cong :premises (@p231) :args (@t65))
% 160.90/161.13  (step @p233 :rule cong :premises (@p140 @p232) :args ((tptp.join @t52 @t65)))
% 160.90/161.13  (step @p234 :rule trans :premises (@p142 @p141 @p138 @p137 @p233))
% 160.90/161.13  (step @p235 :rule cong :premises (@p234 @p228) :args ((tptp.join @t83 @t69)))
% 160.90/161.13  (step @p236 :rule symm :premises (@p180))
% 160.90/161.13  (step @p237 :rule cong :premises (@p236 @p112) :args ((tptp.join (tptp.join @t78 @t68) @t69)))
% 160.90/161.13  (step @p238 :rule trans :premises (@p58 @p48 @p147 @p183 @p237 @p235 @p217 @p215 @p141 @p138 @p137 @p132 @p212 @p164 @p211 @p210 @p106 @p104))
% 160.90/161.13  (step @p239 :rule cong :premises (@p238) :args (@t54))
% 160.90/161.13  (step @p240 :rule symm :premises (@p183))
% 160.90/161.13  (step @p241 :rule symm :premises (@p237))
% 160.90/161.13  (step @p242 :rule symm :premises (@p235))
% 160.90/161.13  (step @p243 :rule symm :premises (@p215))
% 160.90/161.13  (step @p244 :rule symm :premises (@p224))
% 160.90/161.13  (step @p245 :rule symm :premises (@p223))
% 160.90/161.13  (step @p246 :rule cong :premises (@p171 @p198) :args (@t95))
% 160.90/161.13  (step @p247 :rule trans :premises (@p246 @p218 @p245 @p244 @p196 @p146 @p145 @p142 @p243 @p216 @p242 @p241 @p240 @p148 @p47 @p53))
% 160.90/161.13  (step @p248 :rule cong :premises (@p247) :args ((tptp.complement @t95)))
% 160.90/161.13  (step @p249 :rule symm :premises (@p246))
% 160.90/161.13  (step @p250 :rule symm :premises (@p196))
% 160.90/161.13  (step @p251 :rule symm :premises (@p146))
% 160.90/161.13  (step @p252 :rule symm :premises (@p145))
% 160.90/161.13  (step @p253 :rule trans :premises (@p131 @p159 @p158 @p157 @p156 @p252 @p251 @p250 @p224 @p223 @p219 @p249))
% 160.90/161.13  (step @p254 :rule cong :premises (@p253) :args (@t69))
% 160.90/161.13  (step @p255 :rule symm :premises (@p226))
% 160.90/161.13  (step @p256 :rule trans :premises (@p255 @p199 @p254 @p248 @p239))
% 160.90/161.13  (step @p257 :rule instantiate :premises (@p1) :args ((@list @t48 @t67)))
% 160.90/161.13  (step @p258 :rule cong :premises (@p257) :args (@t97))
% 160.90/161.13  (step @p259 :rule cong :premises (@p258 @p256) :args (@t98))
% 160.90/161.13  (step @p260 :rule symm :premises (@p254))
% 160.90/161.13  (step @p261 :rule symm :premises (@p248))
% 160.90/161.13  (step @p262 :rule trans :premises (@p261 @p260 @p227 @p226))
% 160.90/161.13  (step @p263 :rule symm :premises (@p258))
% 160.90/161.13  (step @p264 :rule instantiate :premises (@p3) :args ((@list @t96 @t52)))
% 160.90/161.13  (step @p265 :rule symm :premises (@p264))
% 160.90/161.13  (step @p266 :rule trans :premises (@p220 @p146 @p145 @p142 @p243 @p216 @p242 @p241 @p240 @p148 @p47 @p53))
% 160.90/161.13  (step @p267 :rule refl :args (@t97))
% 160.90/161.13  (step @p268 :rule cong :premises (@p267 @p266) :args ((tptp.join @t97 @t94)))
% 160.90/161.13  (step @p269 :rule instantiate :premises (@p2) :args ((@list @t97 @t80 @t52)))
% 160.90/161.13  (step @p270 :rule symm :premises (@p269))
% 160.90/161.13  (step @p271 :rule instantiate :premises (@p3) :args ((@list tptp.one @t54)))
% 160.90/161.13  (step @p272 :rule cong :premises (@p271 @p140) :args (@t83))
% 160.90/161.13  (step @p273 :rule trans :premises (@p58 @p48 @p147 @p183 @p237 @p235 @p217 @p215 @p156 @p272 @p270 @p268))
% 160.90/161.13  (step @p274 :rule cong :premises (@p273) :args (@t54))
% 160.90/161.13  (step @p275 :rule symm :premises (@p239))
% 160.90/161.13  (step @p276 :rule cong :premises (@p263 @p275) :args (@t100))
% 160.90/161.13  (step @p277 :rule trans :premises (@p98 @p276))
% 160.90/161.13  (step @p278 :rule cong :premises (@p277) :args (@t67))
% 160.90/161.13  (step @p279 :rule cong :premises (@p278 @p274) :args ((tptp.join @t67 @t54)))
% 160.90/161.13  (step @p280 :rule trans :premises (@p58 @p48 @p208 @p207 @p279 @p265 @p257))
% 160.90/161.13  (step @p281 :rule cong :premises (@p280) :args (@t54))
% 160.90/161.13  (step @p282 :rule trans :premises (@p281 @p263))
% 160.90/161.13  (step @p283 :rule cong :premises (@p282 @p262) :args (@t101))
% 160.90/161.13  (step @p284 :rule instantiate :premises (@p82) :args (@t90))
% 160.90/161.13  (step @p285 :rule symm :premises (@p284))
% 160.90/161.13  (step @p286 :rule cong :premises (@p285 @p285) :args ((tptp.join @t103 @t103)))
% 160.90/161.13  (step @p287 :rule instantiate :premises (@p9) :args ((@list @t102 @t102)))
% 160.90/161.13  (step @p288 :rule trans :premises (@p287 @p286 @p283 @p259 @p99))
% 160.90/161.13  (step @p289 :rule instantiate :premises (@p82) :args (@t104))
% 160.90/161.13  (step @p290 :rule symm :premises (@p289))
% 160.90/161.13  (step @p291 :rule cong :premises (@p290 @p288) :args ((tptp.join @t108 @t106)))
% 160.90/161.13  (step @p292 :rule symm :premises (@p287))
% 160.90/161.13  (step @p293 :rule symm :premises (@p286))
% 160.90/161.13  (step @p294 :rule refl :args (@t54))
% 160.90/161.13  (step @p295 :rule symm :premises (@p262))
% 160.90/161.13  (step @p296 :rule cong :premises (@p295 @p294) :args (@t109))
% 160.90/161.13  (step @p297 :rule trans :premises (@p296 @p293 @p292))
% 160.90/161.13  (step @p298 :rule symm :premises (@p205))
% 160.90/161.14  (step @p299 :rule symm :premises (@p115))
% 160.90/161.14  (step @p300 :rule trans :premises (@p290 @p299 @p298))
% 160.90/161.14  (step @p301 :rule symm :premises (@p300))
% 160.90/161.14  (step @p302 :rule symm :premises (@p206))
% 160.90/161.14  (step @p303 :rule symm :premises (@p232))
% 160.90/161.14  (step @p304 :rule trans :premises (@p303 @p302 @p301))
% 160.90/161.14  (step @p305 :rule cong :premises (@p304 @p297) :args ((tptp.join @t92 @t109)))
% 160.90/161.14  (step @p306 :rule instantiate :premises (@p2) :args ((@list @t92 @t91 @t54)))
% 160.90/161.14  (step @p307 :rule symm :premises (@p306))
% 160.90/161.14  (step @p308 :rule cong :premises (@p213 @p294) :args ((tptp.join tptp.one @t54)))
% 160.90/161.14  (step @p309 :rule instantiate :premises (@p1) :args (@t63))
% 160.90/161.14  (step @p310 :rule instantiate :premises (@p82) :args (@t47))
% 160.90/161.14  (step @p311 :rule symm :premises (@p310))
% 160.90/161.14  (step @p312 :rule cong :premises (@p285 @p311) :args ((tptp.join @t103 @t110)))
% 160.90/161.14  (step @p313 :rule instantiate :premises (@p9) :args ((@list @t102 @t56)))
% 160.90/161.14  (step @p314 :rule instantiate :premises (@p9) :args (@t63))
% 160.90/161.14  (step @p315 :rule cong :premises (@p314) :args (@t113))
% 160.90/161.14  (step @p316 :rule trans :premises (@p315 @p313 @p312 @p309 @p308 @p307 @p305 @p291 @p97))
% 160.90/161.14  (step @p317 :rule cong :premises (@p311 @p316) :args ((tptp.composition @t110 @t113)))
% 160.90/161.14  (step @p318 :rule symm :premises (@p315))
% 160.90/161.14  (step @p319 :rule symm :premises (@p313))
% 160.90/161.14  (step @p320 :rule symm :premises (@p312))
% 160.90/161.14  (step @p321 :rule trans :premises (@p320 @p319 @p318))
% 160.90/161.14  (step @p322 :rule cong :premises (@p310 @p321) :args (@t114))
% 160.90/161.14  (step @p323 :rule trans :premises (@p322 @p317 @p95))
% 160.90/161.14  (step @p324 :rule cong :premises (@p323) :args (@t115))
% 160.90/161.14  (step @p325 :rule eq-symm :args (@t115 @t116))
% 160.90/161.14  (step @p326 :rule refl :args (@t25))
% 160.90/161.14  (step @p327 :rule cong :premises (@p326 @p325) :args ((=> @t25 @t117)))
% 160.90/161.14  (assume-push @p916 @t25)
% 160.90/161.14  (step @p329 :rule instantiate :premises (@p10) :args (@t118))
% 160.90/161.14  (step-pop @p917 :rule scope :premises (@p329))
% 160.90/161.14  (step @p330 :rule process_scope :premises (@p917) :args (@t117))
% 160.90/161.14  (step @p332 :rule eq_resolve :premises (@p330 @p327))
% 160.90/161.14  (step @p333 :rule implies_elim :premises (@p332))
% 160.90/161.14  (step @p334 :rule chain_m_resolution :premises (@p333 @p10) :args ((= @t116 @t115) @t44 (@list @t25)))
% 160.90/161.14  (step @p335 :rule cong :premises (@p95) :args ((tptp.converse @t73)))
% 160.90/161.14  (step @p336 :rule instantiate :premises (@p10) :args (@t62))
% 160.90/161.14  (step @p337 :rule symm :premises (@p336))
% 160.90/161.14  (step @p338 :rule trans :premises (@p337 @p335))
% 160.90/161.14  (step @p339 :rule refl :args (@t112))
% 160.90/161.14  (step @p340 :rule cong :premises (@p339 @p338) :args (@t120))
% 160.90/161.14  (step @p341 :rule eq-symm :args (@t120 @t121))
% 160.90/161.14  (step @p342 :rule refl :args (@t16))
% 160.90/161.14  (step @p343 :rule cong :premises (@p342 @p341) :args ((=> @t16 @t122)))
% 160.90/161.14  (assume-push @p918 @t16)
% 160.90/161.14  (step @p345 :rule instantiate :premises (@p5) :args (@t123))
% 160.90/161.14  (step-pop @p919 :rule scope :premises (@p345))
% 160.90/161.14  (step @p346 :rule process_scope :premises (@p919) :args (@t122))
% 160.90/161.14  (step @p348 :rule eq_resolve :premises (@p346 @p343))
% 160.90/161.14  (step @p349 :rule implies_elim :premises (@p348))
% 160.90/161.14  (step @p350 :rule chain_m_resolution :premises (@p349 @p5) :args ((= @t121 @t120) @t44 @t124))
% 160.90/161.14  (step @p351 :rule refl :args (@t56))
% 160.90/161.14  (step @p352 :rule eq-symm :args (@t112 @t125))
% 160.90/161.14  (step @p353 :rule refl :args (@t24))
% 160.90/161.14  (step @p354 :rule cong :premises (@p353 @p352) :args ((=> @t24 @t126)))
% 160.90/161.14  (assume-push @p920 @t24)
% 160.90/161.14  (step-pop @p921 :rule scope :premises (@p314))
% 160.90/161.14  (step @p356 :rule process_scope :premises (@p921) :args (@t126))
% 160.90/161.14  (step @p358 :rule eq_resolve :premises (@p356 @p354))
% 160.90/161.14  (step @p359 :rule implies_elim :premises (@p358))
% 160.90/161.14  (step @p360 :rule chain_m_resolution :premises (@p359 @p9) :args ((= @t125 @t112) @t44 (@list @t24)))
% 160.90/161.14  (step @p361 :rule cong :premises (@p360 @p351) :args ((tptp.composition @t125 @t56)))
% 160.90/161.14  (step @p362 :rule instantiate :premises (@p7) :args ((@list @t102 @t56 @t56)))
% 160.90/161.14  (step @p363 :rule symm :premises (@p362))
% 160.90/161.14  (step @p364 :rule symm :premises (@p338))
% 160.90/161.14  (step @p365 :rule refl :args (@t127))
% 160.90/161.14  (step @p366 :rule cong :premises (@p365 @p364) :args (@t128))
% 160.90/161.14  (step @p367 :rule trans :premises (@p366 @p363 @p361))
% 160.90/161.14  (step @p368 :rule cong :premises (@p367 @p351) :args ((tptp.composition @t128 @t56)))
% 160.90/161.14  (step @p369 :rule trans :premises (@p368 @p350 @p340 @p334 @p324))
% 160.90/161.14  (step @p370 :rule symm :premises (@p368))
% 160.90/161.14  (step @p345 :rule instantiate :premises (@p5) :args (@t123))
% 160.90/161.14  (step @p371 :rule symm :premises (@p340))
% 160.90/161.14  (step @p329 :rule instantiate :premises (@p10) :args (@t118))
% 160.90/161.14  (step @p372 :rule symm :premises (@p324))
% 160.90/161.14  (step @p373 :rule cong :premises (@p189 @p150) :args ((tptp.join @t86 @t78)))
% 160.90/161.14  (step @p374 :rule instantiate :premises (@p2) :args ((@list @t52 @t48 @t78)))
% 160.90/161.14  (step @p375 :rule symm :premises (@p194))
% 160.90/161.14  (step @p376 :rule symm :premises (@p190))
% 160.90/161.14  (step @p377 :rule trans :premises (@p58 @p48 @p184 @p186 @p376 @p191 @p375 @p189))
% 160.90/161.14  (step @p378 :rule cong :premises (@p377) :args (@t54))
% 160.90/161.14  (step @p379 :rule cong :premises (@p171 @p378) :args (@t79))
% 160.90/161.14  (step @p380 :rule symm :premises (@p203))
% 160.90/161.14  (step @p381 :rule symm :premises (@p202))
% 160.90/161.14  (step @p382 :rule symm :premises (@p130))
% 160.90/161.14  (step @p383 :rule symm :premises (@p125))
% 160.90/161.14  (step @p384 :rule instantiate :premises (@p3) :args ((@list @t64 tptp.one)))
% 160.90/161.14  (step @p385 :rule symm :premises (@p384))
% 160.90/161.14  (step @p386 :rule trans :premises (@p385 @p107 @p383 @p382 @p381 @p380 @p379))
% 160.90/161.14  (step @p387 :rule cong :premises (@p140 @p386) :args ((tptp.join @t52 (tptp.join @t131 @t130))))
% 160.90/161.14  (step @p388 :rule instantiate :premises (@p2) :args ((@list @t52 @t131 @t130)))
% 160.90/161.14  (step @p389 :rule symm :premises (@p388))
% 160.90/161.14  (step @p390 :rule instantiate :premises (@p1) :args ((@list @t132 @t130)))
% 160.90/161.14  (step @p391 :rule symm :premises (@p390))
% 160.90/161.14  (step @p392 :rule instantiate :premises (@p1) :args ((@list @t48 @t65)))
% 160.90/161.14  (step @p393 :rule cong :premises (@p392) :args (@t134))
% 160.90/161.14  (step @p394 :rule cong :premises (@p171 @p97) :args ((tptp.join @t48 @t70)))
% 160.90/161.14  (step @p395 :rule instantiate :premises (@p2) :args ((@list @t48 @t65 @t54)))
% 160.90/161.14  (step @p396 :rule symm :premises (@p395))
% 160.90/161.14  (step @p397 :rule instantiate :premises (@p1) :args ((@list @t133 @t54)))
% 160.90/161.14  (step @p398 :rule symm :premises (@p397))
% 160.90/161.14  (step @p399 :rule trans :premises (@p398 @p396 @p394))
% 160.90/161.14  (step @p400 :rule cong :premises (@p399 @p393) :args ((tptp.join (tptp.join @t54 @t133) @t134)))
% 160.90/161.14  (step @p401 :rule instantiate :premises (@p2) :args ((@list @t54 @t133 @t134)))
% 160.90/161.14  (step @p402 :rule instantiate :premises (@p12) :args ((@list @t133)))
% 160.90/161.14  (step @p403 :rule trans :premises (@p58 @p48 @p402))
% 160.90/161.14  (step @p404 :rule cong :premises (@p294 @p403) :args ((tptp.join @t54 @t52)))
% 160.90/161.14  (step @p405 :rule instantiate :premises (@p1) :args ((@list @t52 @t54)))
% 160.90/161.14  (step @p406 :rule trans :premises (@p142 @p243 @p216 @p242 @p241 @p240 @p148 @p134 @p405 @p404 @p401 @p400))
% 160.90/161.14  (step @p407 :rule refl :args (@t130))
% 160.90/161.14  (step @p408 :rule cong :premises (@p407 @p406) :args (@t135))
% 160.90/161.14  (step @p409 :rule trans :premises (@p58 @p48 @p147 @p183 @p237 @p235 @p217 @p215 @p156))
% 160.90/161.14  (step @p410 :rule cong :premises (@p407 @p409) :args (@t136))
% 160.90/161.14  (step @p411 :rule trans :premises (@p410 @p408 @p391 @p389 @p387 @p374 @p373 @p185 @p47 @p53))
% 160.90/161.14  (step @p412 :rule cong :premises (@p411) :args (@t137))
% 160.90/161.14  (step @p413 :rule cong :premises (@p167) :args (@t138))
% 160.90/161.14  (step @p414 :rule symm :premises (@p167))
% 160.90/161.14  (step @p415 :rule instantiate :premises (@p82) :args (@t50))
% 160.90/161.14  (step @p416 :rule symm :premises (@p415))
% 160.90/161.14  (step @p417 :rule instantiate :premises (@p87) :args ((@list @t139)))
% 160.90/161.14  (step @p418 :rule symm :premises (@p417))
% 160.90/161.14  (step @p419 :rule cong :premises (@p418) :args ((tptp.converse (tptp.composition @t139 tptp.one))))
% 160.90/161.14  (step @p420 :rule instantiate :premises (@p10) :args ((@list @t139 tptp.one)))
% 160.90/161.14  (step @p421 :rule symm :premises (@p420))
% 160.90/161.14  (step @p422 :rule cong :premises (@p95) :args (@t74))
% 160.90/161.14  (step @p423 :rule trans :premises (@p422 @p415))
% 160.90/161.14  (step @p424 :rule cong :premises (@p351 @p423) :args (@t75))
% 160.90/161.14  (step @p425 :rule refl :args (@t74))
% 160.90/161.14  (step @p426 :rule cong :premises (@p338 @p425) :args ((tptp.composition @t119 @t74)))
% 160.90/161.14  (step @p427 :rule instantiate :premises (@p5) :args ((@list @t56 @t56 @t74)))
% 160.90/161.14  (step @p428 :rule cong :premises (@p97) :args ((tptp.converse @t70)))
% 160.90/161.14  (step @p429 :rule instantiate :premises (@p9) :args (@t66))
% 160.90/161.14  (step @p430 :rule symm :premises (@p429))
% 160.90/161.14  (step @p431 :rule trans :premises (@p430 @p428))
% 160.90/161.14  (step @p432 :rule cong :premises (@p431 @p119) :args ((tptp.composition (tptp.join @t107 @t102) @t75)))
% 160.90/161.14  (step @p433 :rule instantiate :premises (@p7) :args ((@list @t107 @t102 @t75)))
% 160.90/161.14  (step @p434 :rule symm :premises (@p433))
% 160.90/161.14  (step @p435 :rule instantiate :premises (@p1) :args ((@list @t141 @t140)))
% 160.90/161.14  (step @p436 :rule symm :premises (@p435))
% 160.90/161.14  (step @p437 :rule trans :premises (@p436 @p434 @p432 @p427 @p426 @p424 @p421 @p419 @p416))
% 160.90/161.14  (step @p438 :rule cong :premises (@p171 @p437) :args ((tptp.join @t48 (tptp.join @t140 @t141))))
% 160.90/161.14  (step @p439 :rule symm :premises (@p432))
% 160.90/161.14  (step @p440 :rule symm :premises (@p427))
% 160.90/161.14  (step @p441 :rule symm :premises (@p426))
% 160.90/161.14  (step @p442 :rule trans :premises (@p441 @p440 @p439 @p433 @p435))
% 160.90/161.14  (step @p443 :rule cong :premises (@p171 @p442) :args ((tptp.join @t48 @t75)))
% 160.90/161.14  (step @p444 :rule instantiate :premises (@p1) :args ((@list @t75 @t48)))
% 160.90/161.14  (step @p445 :rule trans :premises (@p117 @p444 @p443 @p438 @p107 @p383 @p382 @p381 @p380 @p414))
% 160.90/161.14  (step @p446 :rule cong :premises (@p445) :args (@t142))
% 160.90/161.14  (step @p447 :rule symm :premises (@p444))
% 160.90/161.14  (step @p448 :rule symm :premises (@p443))
% 160.90/161.14  (step @p449 :rule symm :premises (@p438))
% 160.90/161.14  (step @p450 :rule instantiate :premises (@p1) :args ((@list @t131 @t130)))
% 160.90/161.14  (step @p451 :rule symm :premises (@p450))
% 160.90/161.14  (step @p452 :rule instantiate :premises (@p31) :args ((@list tptp.one @t64)))
% 160.90/161.14  (step @p453 :rule symm :premises (@p452))
% 160.90/161.14  (step @p454 :rule trans :premises (@p117 @p444 @p443 @p438))
% 160.90/161.14  (step @p455 :rule refl :args (tptp.one))
% 160.90/161.14  (step @p456 :rule cong :premises (@p455 @p454) :args (@t143))
% 160.90/161.14  (step @p457 :rule trans :premises (@p60 @p45 @p456 @p453 @p393))
% 160.90/161.14  (step @p458 :rule cong :premises (@p407 @p457) :args (@t144))
% 160.90/161.14  (step @p459 :rule trans :premises (@p458 @p451 @p385 @p449 @p448 @p447 @p118))
% 160.90/161.14  (step @p460 :rule cong :premises (@p459) :args (@t145))
% 160.90/161.14  (step @p461 :rule trans :premises (@p460 @p446 @p413))
% 160.90/161.14  (step @p462 :rule trans :premises (@p461 @p206))
% 160.90/161.14  (step @p463 :rule cong :premises (@p462 @p412) :args ((tptp.join @t145 @t137)))
% 160.90/161.14  (step @p464 :rule instantiate :premises (@p3) :args ((@list @t129 @t52)))
% 160.90/161.14  (step @p465 :rule cong :premises (@p133 @p214) :args ((tptp.join @t65 @t93)))
% 160.90/161.14  (step @p466 :rule instantiate :premises (@p2) :args ((@list @t65 @t92 @t91)))
% 160.90/161.14  (step @p467 :rule symm :premises (@p466))
% 160.90/161.14  (step @p468 :rule refl :args (@t146))
% 160.90/161.14  (step @p469 :rule cong :premises (@p468 @p262) :args (@t147))
% 160.90/161.14  (step @p470 :rule instantiate :premises (@p87) :args (@t90))
% 160.90/161.14  (step @p471 :rule symm :premises (@p470))
% 160.90/161.14  (step @p472 :rule cong :premises (@p471 @p471) :args ((tptp.join @t148 @t148)))
% 160.90/161.14  (step @p473 :rule instantiate :premises (@p7) :args ((@list @t54 @t54 tptp.one)))
% 160.90/161.14  (step @p474 :rule trans :premises (@p287 @p286))
% 160.90/161.14  (step @p475 :rule cong :premises (@p474 @p311) :args (@t149))
% 160.90/161.14  (step @p476 :rule symm :premises (@p474))
% 160.90/161.14  (step @p477 :rule cong :premises (@p471) :args ((tptp.converse @t148)))
% 160.90/161.14  (step @p478 :rule instantiate :premises (@p10) :args (@t63))
% 160.90/161.14  (step @p479 :rule symm :premises (@p478))
% 160.90/161.14  (step @p480 :rule trans :premises (@p479 @p477))
% 160.90/161.14  (step @p481 :rule cong :premises (@p480 @p480) :args ((tptp.join @t150 @t150)))
% 160.90/161.14  (step @p482 :rule instantiate :premises (@p7) :args ((@list @t56 @t56 @t102)))
% 160.90/161.14  (step @p483 :rule trans :premises (@p482 @p481))
% 160.90/161.14  (step @p484 :rule cong :premises (@p483) :args ((tptp.converse (tptp.composition @t151 @t102))))
% 160.90/161.14  (step @p485 :rule instantiate :premises (@p10) :args ((@list @t151 @t102)))
% 160.90/161.14  (step @p486 :rule symm :premises (@p485))
% 160.90/161.14  (step @p487 :rule instantiate :premises (@p9) :args ((@list @t56 @t56)))
% 160.90/161.14  (step @p488 :rule symm :premises (@p487))
% 160.90/161.14  (step @p489 :rule cong :premises (@p310 @p310) :args (@t152))
% 160.90/161.14  (step @p490 :rule trans :premises (@p489 @p488))
% 160.90/161.14  (step @p491 :rule trans :premises (@p295 @p284))
% 160.90/161.14  (step @p492 :rule cong :premises (@p491 @p490) :args (@t153))
% 160.90/161.14  (step @p493 :rule refl :args (@t152))
% 160.90/161.14  (step @p494 :rule symm :premises (@p378))
% 160.90/161.14  (step @p495 :rule trans :premises (@p494 @p262))
% 160.90/161.14  (step @p496 :rule cong :premises (@p495 @p493) :args ((tptp.composition @t78 @t152)))
% 160.90/161.14  (step @p497 :rule trans :premises (@p496 @p492 @p486 @p484 @p287 @p286))
% 160.90/161.14  (step @p498 :rule symm :premises (@p496))
% 160.90/161.14  (step @p499 :rule trans :premises (@p498 @p497 @p476))
% 160.90/161.14  (step @p500 :rule cong :premises (@p499 @p310) :args (@t154))
% 160.90/161.14  (step @p501 :rule trans :premises (@p500 @p475 @p473 @p472 @p283 @p259 @p99))
% 160.90/161.14  (step @p502 :rule symm :premises (@p304))
% 160.90/161.14  (step @p503 :rule cong :premises (@p290 @p502) :args ((tptp.join @t108 @t108)))
% 160.90/161.14  (step @p504 :rule instantiate :premises (@p9) :args ((@list @t107 @t107)))
% 160.90/161.14  (step @p505 :rule instantiate :premises (@p87) :args (@t104))
% 160.90/161.14  (step @p506 :rule symm :premises (@p505))
% 160.90/161.14  (step @p507 :rule cong :premises (@p506) :args ((tptp.converse (tptp.composition @t65 tptp.one))))
% 160.90/161.14  (step @p508 :rule instantiate :premises (@p10) :args ((@list @t65 tptp.one)))
% 160.90/161.14  (step @p509 :rule symm :premises (@p508))
% 160.90/161.14  (step @p510 :rule trans :premises (@p509 @p507))
% 160.90/161.14  (step @p511 :rule cong :premises (@p510 @p510) :args ((tptp.join @t155 @t155)))
% 160.90/161.14  (step @p512 :rule instantiate :premises (@p7) :args ((@list @t56 @t56 @t107)))
% 160.90/161.14  (step @p513 :rule trans :premises (@p512 @p511))
% 160.90/161.14  (step @p514 :rule cong :premises (@p513) :args ((tptp.converse (tptp.composition @t151 @t107))))
% 160.90/161.14  (step @p515 :rule instantiate :premises (@p10) :args ((@list @t151 @t107)))
% 160.90/161.14  (step @p516 :rule symm :premises (@p515))
% 160.90/161.14  (step @p517 :rule cong :premises (@p304 @p490) :args (@t156))
% 160.90/161.14  (step @p518 :rule trans :premises (@p517 @p516 @p514 @p504 @p503))
% 160.90/161.14  (step @p519 :rule cong :premises (@p95 @p95) :args ((tptp.join @t73 @t73)))
% 160.90/161.14  (step @p520 :rule instantiate :premises (@p7) :args ((@list tptp.one tptp.one tptp.one)))
% 160.90/161.14  (step @p521 :rule trans :premises (@p520 @p519))
% 160.90/161.14  (step @p522 :rule refl :args (@t92))
% 160.90/161.14  (step @p523 :rule cong :premises (@p522 @p521) :args (@t158))
% 160.90/161.14  (step @p524 :rule eq-symm :args (@t158 @t159))
% 160.90/161.14  (step @p525 :rule cong :premises (@p342 @p524) :args ((=> @t16 @t160)))
% 160.90/161.14  (assume-push @p922 @t16)
% 160.90/161.14  (step @p527 :rule instantiate :premises (@p5) :args (@t161))
% 160.90/161.14  (step-pop @p923 :rule scope :premises (@p527))
% 160.90/161.14  (step @p528 :rule process_scope :premises (@p923) :args (@t160))
% 160.90/161.14  (step @p530 :rule eq_resolve :premises (@p528 @p525))
% 160.90/161.14  (step @p531 :rule implies_elim :premises (@p530))
% 160.90/161.14  (step @p532 :rule chain_m_resolution :premises (@p531 @p5) :args ((= @t159 @t158) @t44 @t124))
% 160.90/161.14  (step @p533 :rule trans :premises (@p532 @p523))
% 160.90/161.14  (step @p534 :rule trans :premises (@p533 @p518))
% 160.90/161.14  (step @p535 :rule cong :premises (@p534 @p501) :args ((tptp.join @t159 @t154)))
% 160.90/161.14  (step @p536 :rule instantiate :premises (@p7) :args ((@list @t156 @t153 tptp.one)))
% 160.90/161.14  (step @p537 :rule instantiate :premises (@p7) :args ((@list @t92 @t91 @t152)))
% 160.90/161.14  (step @p538 :rule cong :premises (@p213 @p493) :args (@t162))
% 160.90/161.14  (step @p539 :rule symm :premises (@p490))
% 160.90/161.14  (step @p540 :rule cong :premises (@p311 @p539) :args ((tptp.composition @t110 @t163)))
% 160.90/161.14  (step @p541 :rule instantiate :premises (@p10) :args ((@list @t151 @t56)))
% 160.90/161.14  (step @p542 :rule instantiate :premises (@p7) :args ((@list @t56 @t56 @t56)))
% 160.90/161.14  (step @p543 :rule symm :premises (@p542))
% 160.90/161.14  (step @p544 :rule cong :premises (@p364 @p364) :args (@t151))
% 160.90/161.14  (step @p545 :rule trans :premises (@p544 @p543))
% 160.90/161.14  (step @p546 :rule cong :premises (@p545) :args (@t163))
% 160.90/161.14  (step @p547 :rule trans :premises (@p489 @p488 @p546 @p541 @p540 @p538 @p537))
% 160.90/161.14  (step @p548 :rule cong :premises (@p547 @p455) :args (@t157))
% 160.90/161.14  (step @p549 :rule symm :premises (@p520))
% 160.90/161.14  (step @p550 :rule symm :premises (@p519))
% 160.90/161.14  (step @p551 :rule trans :premises (@p550 @p549 @p548 @p536 @p535 @p469 @p467 @p465 @p464 @p463 @p97))
% 160.90/161.14  (step @p552 :rule cong :premises (@p551) :args ((tptp.converse @t152)))
% 160.90/161.14  (step @p553 :rule instantiate :premises (@p9) :args (@t62))
% 160.90/161.14  (step @p554 :rule symm :premises (@p553))
% 160.90/161.14  (step @p555 :rule trans :premises (@p554 @p552 @p372 @p329 @p371 @p345 @p370))
% 160.90/161.14  (step @p556 :rule trans :premises (@p555 @p369))
% 160.90/161.14  (step @p557 :rule cong :premises (@p556 @p93) :args ((tptp.composition @t151 @t61)))
% 160.90/161.14  (step @p558 :rule instantiate :premises (@p7) :args ((@list @t56 @t56 @t61)))
% 160.90/161.14  (step @p559 :rule symm :premises (@p558))
% 160.90/161.14  (step @p560 :rule symm :premises (@p90))
% 160.90/161.14  (step @p561 :rule trans :premises (@p560 @p91))
% 160.90/161.14  (step @p562 :rule cong :premises (@p561 @p561) :args (@t164))
% 160.90/161.14  (step @p563 :rule trans :premises (@p562 @p559 @p557 @p92 @p90))
% 160.90/161.14  (step @p564 :rule cong :premises (@p563) :args ((tptp.converse @t164)))
% 160.90/161.14  (step @p565 :rule instantiate :premises (@p9) :args ((@list @t61 @t61)))
% 160.90/161.14  (step @p566 :rule symm :premises (@p565))
% 160.90/161.14  (step @p567 :rule cong :premises (@p83 @p83) :args (@t165))
% 160.90/161.14  (step @p568 :rule trans :premises (@p567 @p566 @p564 @p84))
% 160.90/161.14  (step @p569 :rule instantiate :premises (@p1) :args ((@list @t30 tptp.sk2)))
% 160.90/161.14  (step @p570 :rule symm :premises (@p569))
% 160.90/161.14  (step @p571 :rule trans :premises (@p21 @p19))
% 160.90/161.14  (step @p572 :rule cong :premises (@p18 @p571) :args ((tptp.join tptp.sk2 (tptp.join @t36 @t30))))
% 160.90/161.14  (step @p573 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 @t36 @t30)))
% 160.90/161.14  (step @p574 :rule symm :premises (@p573))
% 160.90/161.14  (step @p575 :rule refl :args (@t30))
% 160.90/161.14  (step @p576 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 tptp.sk2)))
% 160.90/161.14  (step @p577 :rule cong :premises (@p18 @p576) :args (@t166))
% 160.90/161.14  (step @p578 :rule cong :premises (@p577 @p575) :args (@t167))
% 160.90/161.14  (step @p579 :rule instantiate :premises (@p1) :args ((@list tptp.sk2 @t28)))
% 160.90/161.14  (step @p580 :rule symm :premises (@p579))
% 160.90/161.14  (step @p581 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.sk2 tptp.sk2)))
% 160.90/161.14  (step @p582 :rule trans :premises (@p581 @p580))
% 160.90/161.14  (step @p583 :rule cong :premises (@p582 @p575) :args ((tptp.join (tptp.join tptp.sk1 @t168) @t30)))
% 160.90/161.14  (step @p584 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t168 @t30)))
% 160.90/161.14  (step @p585 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 @t169)))
% 160.90/161.14  (step @p586 :rule symm :premises (@p585))
% 160.90/161.14  (step @p587 :rule trans :premises (@p586 @p584 @p583 @p578 @p574 @p572 @p570))
% 160.90/161.14  (step @p588 :rule cong :premises (@p587 @p68) :args ((tptp.join @t170 @t57)))
% 160.90/161.14  (step @p589 :rule instantiate :premises (@p2) :args ((@list @t169 tptp.sk1 @t57)))
% 160.90/161.14  (step @p590 :rule instantiate :premises (@p1) :args ((@list @t57 tptp.sk1)))
% 160.90/161.14  (step @p591 :rule symm :premises (@p74))
% 160.90/161.14  (step @p592 :rule symm :premises (@p73))
% 160.90/161.14  (step @p593 :rule symm :premises (@p72))
% 160.90/161.14  (step @p594 :rule trans :premises (@p26 @p593 @p592 @p591 @p590))
% 160.90/161.14  (step @p595 :rule refl :args (@t169))
% 160.90/161.14  (step @p596 :rule cong :premises (@p595 @p594) :args (@t170))
% 160.90/161.14  (step @p597 :rule symm :premises (@p584))
% 160.90/161.14  (step @p598 :rule symm :premises (@p583))
% 160.90/161.14  (step @p599 :rule symm :premises (@p578))
% 160.90/161.14  (step @p600 :rule symm :premises (@p572))
% 160.90/161.14  (step @p601 :rule trans :premises (@p569 @p600 @p573 @p599 @p598 @p597 @p585 @p596 @p589 @p588))
% 160.90/161.14  (step @p602 :rule instantiate :premises (@p1) :args ((@list tptp.sk2 tptp.sk3)))
% 160.90/161.14  (step @p603 :rule symm :premises (@p602))
% 160.90/161.14  (step @p604 :rule cong :premises (@p17 @p18) :args ((tptp.join @t35 tptp.sk2)))
% 160.90/161.14  (step @p605 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t30 tptp.sk2)))
% 160.90/161.14  (step @p606 :rule trans :premises (@p605 @p604 @p603))
% 160.90/161.14  (step @p607 :rule cong :premises (@p18 @p606) :args ((tptp.join tptp.sk2 (tptp.join tptp.sk1 @t60))))
% 160.90/161.14  (step @p608 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 tptp.sk1 @t60)))
% 160.90/161.14  (step @p609 :rule symm :premises (@p608))
% 160.90/161.14  (step @p610 :rule cong :premises (@p576 @p76) :args ((tptp.join @t28 @t60)))
% 160.90/161.14  (step @p611 :rule instantiate :premises (@p1) :args ((@list @t28 @t60)))
% 160.90/161.14  (step @p612 :rule symm :premises (@p611))
% 160.90/161.14  (step @p613 :rule refl :args (@t28))
% 160.90/161.14  (step @p614 :rule trans :premises (@p578 @p574 @p572 @p570))
% 160.90/161.14  (step @p615 :rule cong :premises (@p614 @p613) :args ((tptp.join @t167 @t28)))
% 160.90/161.14  (step @p616 :rule trans :premises (@p615 @p612 @p610 @p609 @p607 @p570))
% 160.90/161.14  (step @p617 :rule symm :premises (@p615))
% 160.90/161.14  (step @p618 :rule trans :premises (@p617 @p616 @p601))
% 160.90/161.14  (step @p619 :rule cong :premises (@p618 @p568) :args ((tptp.join (tptp.join @t60 @t28) @t165)))
% 160.90/161.14  (step @p620 :rule instantiate :premises (@p2) :args ((@list @t60 @t28 @t165)))
% 160.90/161.14  (step @p621 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.sk2 @t165)))
% 160.90/161.14  (step @p622 :rule eq-symm :args (@t171 @t172))
% 160.90/161.14  (step @p623 :rule refl :args (@t8))
% 160.90/161.14  (step @p624 :rule cong :premises (@p623 @p622) :args ((=> @t8 @t173)))
% 160.90/161.14  (assume-push @p924 @t8)
% 160.90/161.14  (step @p626 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 tptp.sk1 tptp.sk1)))
% 160.90/161.14  (step-pop @p925 :rule scope :premises (@p626))
% 160.90/161.14  (step @p627 :rule process_scope :premises (@p925) :args (@t173))
% 160.90/161.14  (step @p629 :rule eq_resolve :premises (@p627 @p624))
% 160.90/161.14  (step @p630 :rule implies_elim :premises (@p629))
% 160.90/161.14  (step @p631 :rule chain_m_resolution :premises (@p630 @p2) :args ((= @t172 @t171) @t44 @t174))
% 160.90/161.14  (step @p632 :rule refl :args (tptp.sk1))
% 160.90/161.14  (step @p633 :rule cong :premises (@p576 @p632) :args (@t175))
% 160.90/161.14  (step @p634 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 @t28)))
% 160.90/161.14  (step @p635 :rule trans :premises (@p634 @p633 @p631))
% 160.90/161.14  (step @p636 :rule cong :premises (@p632 @p635) :args ((tptp.join tptp.sk1 @t176)))
% 160.90/161.14  (step @p637 :rule symm :premises (@p634))
% 160.90/161.14  (step @p638 :rule cong :premises (@p632 @p637) :args (@t177))
% 160.90/161.14  (step @p639 :rule eq-symm :args (@t177 @t178))
% 160.90/161.14  (step @p640 :rule cong :premises (@p623 @p639) :args ((=> @t8 @t179)))
% 160.90/161.14  (assume-push @p926 @t8)
% 160.90/161.14  (step @p642 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t28 tptp.sk1)))
% 160.90/161.14  (step-pop @p927 :rule scope :premises (@p642))
% 160.90/161.14  (step @p643 :rule process_scope :premises (@p927) :args (@t179))
% 160.90/161.14  (step @p645 :rule eq_resolve :premises (@p643 @p640))
% 160.90/161.14  (step @p646 :rule implies_elim :premises (@p645))
% 160.90/161.14  (step @p647 :rule chain_m_resolution :premises (@p646 @p2) :args ((= @t178 @t177) @t44 @t174))
% 160.90/161.14  (step @p648 :rule trans :premises (@p647 @p638 @p636 @p621))
% 160.90/161.14  (step @p649 :rule cong :premises (@p76 @p648) :args ((tptp.join @t60 @t178)))
% 160.90/161.14  (step @p650 :rule refl :args (@t178))
% 160.90/161.14  (step @p651 :rule cong :premises (@p570 @p650) :args ((tptp.join @t180 @t178)))
% 160.90/161.14  (step @p652 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 @t30 @t178)))
% 160.90/161.14  (step @p653 :rule instantiate :premises (@p1) :args ((@list @t178 @t30)))
% 160.90/161.14  (step @p654 :rule instantiate :premises (@p2) :args ((@list @t176 tptp.sk1 @t30)))
% 160.90/161.14  (step @p655 :rule symm :premises (@p17))
% 160.90/161.14  (step @p656 :rule refl :args (@t176))
% 160.90/161.14  (step @p657 :rule cong :premises (@p656 @p655) :args ((tptp.join @t176 tptp.sk3)))
% 160.90/161.14  (step @p658 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t28 tptp.sk3)))
% 160.90/161.14  (step @p659 :rule symm :premises (@p14))
% 160.90/161.14  (step @p660 :rule cong :premises (@p632 @p659) :args (@t32))
% 160.90/161.14  (step @p661 :rule trans :premises (@p660 @p658 @p657 @p654 @p653))
% 160.90/161.14  (step @p662 :rule cong :premises (@p18 @p661) :args (@t181))
% 160.90/161.14  (step @p663 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 tptp.sk1 tptp.sk3)))
% 160.90/161.14  (step @p664 :rule symm :premises (@p663))
% 160.90/161.14  (step @p665 :rule refl :args (tptp.sk3))
% 160.90/161.14  (step @p666 :rule cong :premises (@p576 @p665) :args (@t29))
% 160.90/161.14  (step @p667 :rule trans :premises (@p659 @p666 @p664 @p662 @p652 @p651 @p649 @p620 @p619 @p79 @p77 @p25 @p23 @p21 @p19))
% 160.90/161.14  (step @p668 :rule cong :premises (@p632 @p14) :args ((tptp.join tptp.sk1 @t29)))
% 160.90/161.14  (step @p669 :rule symm :premises (@p658))
% 160.90/161.14  (step @p670 :rule symm :premises (@p576))
% 160.90/161.14  (step @p671 :rule cong :premises (@p670 @p665) :args ((tptp.join @t36 tptp.sk3)))
% 160.90/161.14  (step @p672 :rule trans :premises (@p663 @p671 @p14))
% 160.90/161.14  (step @p673 :rule cong :premises (@p656 @p672) :args ((tptp.join @t176 @t181)))
% 160.90/161.14  (step @p674 :rule instantiate :premises (@p2) :args ((@list @t176 tptp.sk2 @t32)))
% 160.90/161.14  (step @p675 :rule symm :premises (@p674))
% 160.90/161.14  (step @p676 :rule instantiate :premises (@p1) :args ((@list @t176 tptp.sk3)))
% 160.90/161.14  (step @p677 :rule symm :premises (@p676))
% 160.90/161.14  (step @p678 :rule cong :premises (@p672 @p656) :args ((tptp.join @t181 @t176)))
% 160.90/161.14  (step @p679 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 @t32 @t176)))
% 160.90/161.14  (step @p680 :rule trans :premises (@p679 @p678 @p677 @p669 @p668))
% 160.90/161.14  (step @p681 :rule refl :args (@t182))
% 160.90/161.14  (step @p682 :rule cong :premises (@p681 @p680) :args ((tptp.join @t182 (tptp.join tptp.sk2 @t183))))
% 160.90/161.14  (step @p683 :rule instantiate :premises (@p2) :args ((@list @t182 tptp.sk2 @t183)))
% 160.90/161.14  (step @p684 :rule symm :premises (@p683))
% 160.90/161.14  (step @p685 :rule refl :args (@t32))
% 160.90/161.14  (step @p686 :rule cong :premises (@p685 @p637) :args ((tptp.join @t32 @t175)))
% 160.90/161.14  (step @p687 :rule instantiate :premises (@p2) :args ((@list @t32 @t28 tptp.sk1)))
% 160.90/161.14  (step @p688 :rule symm :premises (@p687))
% 160.90/161.14  (step @p689 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 tptp.sk3)))
% 160.90/161.14  (step @p690 :rule symm :premises (@p689))
% 160.90/161.14  (step @p691 :rule cong :premises (@p656 @p17) :args ((tptp.join @t176 @t35)))
% 160.90/161.14  (step @p692 :rule symm :premises (@p654))
% 160.90/161.14  (step @p693 :rule trans :premises (@p692 @p691 @p669 @p668 @p689))
% 160.90/161.14  (step @p694 :rule trans :premises (@p693 @p690))
% 160.90/161.14  (step @p695 :rule cong :premises (@p694 @p613) :args ((tptp.join @t184 @t28)))
% 160.90/161.14  (step @p696 :rule instantiate :premises (@p2) :args ((@list @t178 @t30 @t28)))
% 160.90/161.14  (step @p697 :rule cong :premises (@p575 @p670) :args ((tptp.join @t30 @t36)))
% 160.90/161.14  (step @p698 :rule cong :premises (@p18 @p655) :args (@t30))
% 160.90/161.14  (step @p699 :rule trans :premises (@p698 @p20 @p22 @p697))
% 160.90/161.14  (step @p700 :rule cong :premises (@p650 @p699) :args (@t184))
% 160.90/161.14  (step @p701 :rule trans :premises (@p690 @p660 @p658 @p657 @p654 @p700 @p696 @p695))
% 160.90/161.14  (step @p702 :rule trans :premises (@p689 @p701))
% 160.90/161.14  (step @p703 :rule cong :premises (@p702 @p632) :args ((tptp.join @t32 tptp.sk1)))
% 160.90/161.14  (step @p704 :rule instantiate :premises (@p1) :args ((@list @t32 tptp.sk1)))
% 160.90/161.14  (step @p705 :rule symm :premises (@p704))
% 160.90/161.14  (step @p706 :rule cong :premises (@p632 @p17) :args ((tptp.join tptp.sk1 @t35)))
% 160.90/161.14  (step @p707 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.sk1 @t30)))
% 160.90/161.14  (step @p708 :rule symm :premises (@p707))
% 160.90/161.14  (step @p709 :rule instantiate :premises (@p1) :args ((@list @t165 @t30)))
% 160.90/161.14  (step @p710 :rule symm :premises (@p709))
% 160.90/161.14  (step @p711 :rule trans :premises (@p710 @p708 @p706))
% 160.90/161.14  (step @p712 :rule cong :premises (@p632 @p711) :args ((tptp.join tptp.sk1 (tptp.join @t30 @t165))))
% 160.90/161.14  (step @p713 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t30 @t165)))
% 160.90/161.14  (step @p714 :rule symm :premises (@p713))
% 160.90/161.14  (step @p715 :rule refl :args (@t165))
% 160.90/161.14  (step @p716 :rule cong :premises (@p655 @p715) :args (@t185))
% 160.90/161.14  (step @p717 :rule trans :premises (@p716 @p714 @p712 @p705 @p703 @p688 @p686))
% 160.90/161.14  (step @p718 :rule refl :args (@t186))
% 160.90/161.14  (step @p719 :rule cong :premises (@p718 @p717) :args ((tptp.join @t186 @t185)))
% 160.90/161.14  (step @p720 :rule instantiate :premises (@p2) :args ((@list @t186 tptp.sk3 @t165)))
% 160.90/161.14  (step @p721 :rule symm :premises (@p720))
% 160.90/161.14  (step @p722 :rule cong :premises (@p84 @p84) :args ((tptp.join @t187 @t187)))
% 160.90/161.14  (step @p723 :rule trans :premises (@p92 @p90))
% 160.90/161.14  (step @p724 :rule cong :premises (@p723 @p723) :args ((tptp.join @t188 @t188)))
% 160.90/161.14  (step @p725 :rule cong :premises (@p311 @p311) :args ((tptp.join @t110 @t110)))
% 160.90/161.14  (step @p726 :rule cong :premises (@p338 @p338) :args ((tptp.join @t119 @t119)))
% 160.90/161.14  (step @p727 :rule trans :premises (@p542 @p726))
% 160.90/161.14  (step @p728 :rule cong :premises (@p727) :args ((tptp.converse (tptp.composition @t151 @t56))))
% 160.90/161.14  (step @p729 :rule symm :premises (@p541))
% 160.90/161.14  (step @p730 :rule cong :premises (@p310 @p490) :args (@t162))
% 160.90/161.14  (step @p731 :rule cong :premises (@p214 @p493) :args ((tptp.composition @t93 @t152)))
% 160.90/161.14  (step @p732 :rule symm :premises (@p537))
% 160.90/161.14  (step @p733 :rule trans :premises (@p732 @p731 @p730 @p729 @p728 @p487 @p725))
% 160.90/161.14  (step @p734 :rule cong :premises (@p733 @p455) :args ((tptp.composition (tptp.join @t156 @t153) tptp.one)))
% 160.90/161.14  (step @p735 :rule symm :premises (@p536))
% 160.90/161.14  (step @p736 :rule trans :premises (@p285 @p262))
% 160.90/161.14  (step @p737 :rule cong :premises (@p736 @p539) :args ((tptp.composition @t103 @t163)))
% 160.90/161.14  (step @p738 :rule symm :premises (@p482))
% 160.90/161.14  (step @p739 :rule cong :premises (@p470) :args (@t102))
% 160.90/161.14  (step @p740 :rule trans :premises (@p739 @p478))
% 160.90/161.14  (step @p741 :rule cong :premises (@p740 @p740) :args (@t105))
% 160.90/161.14  (step @p742 :rule trans :premises (@p741 @p738))
% 160.90/161.14  (step @p743 :rule cong :premises (@p742) :args (@t106))
% 160.90/161.14  (step @p744 :rule trans :premises (@p293 @p292 @p743 @p485 @p737 @p498))
% 160.90/161.14  (step @p745 :rule trans :premises (@p474 @p744 @p496))
% 160.90/161.14  (step @p746 :rule cong :premises (@p745 @p311) :args (@t149))
% 160.90/161.14  (step @p747 :rule cong :premises (@p476 @p310) :args ((tptp.composition @t101 tptp.one)))
% 160.90/161.14  (step @p748 :rule symm :premises (@p473))
% 160.90/161.14  (step @p749 :rule cong :premises (@p470 @p470) :args (@t101))
% 160.90/161.14  (step @p750 :rule symm :premises (@p208))
% 160.90/161.14  (step @p751 :rule symm :premises (@p207))
% 160.90/161.14  (step @p752 :rule symm :premises (@p271))
% 160.90/161.14  (step @p753 :rule cong :premises (@p752 @p140) :args ((tptp.join (tptp.join @t97 @t80) @t52)))
% 160.90/161.14  (step @p754 :rule symm :premises (@p220))
% 160.90/161.14  (step @p755 :rule trans :premises (@p58 @p48 @p147 @p183 @p237 @p235 @p217 @p215 @p156 @p252 @p251 @p754))
% 160.90/161.14  (step @p756 :rule cong :premises (@p267 @p755) :args (@t189))
% 160.90/161.14  (step @p757 :rule trans :premises (@p756 @p269 @p753 @p142 @p243 @p216 @p242 @p241 @p240 @p148 @p47 @p53))
% 160.90/161.14  (step @p758 :rule cong :premises (@p757) :args (@t190))
% 160.90/161.14  (step @p759 :rule cong :premises (@p258 @p239) :args (@t191))
% 160.90/161.14  (step @p760 :rule trans :premises (@p759 @p99))
% 160.90/161.14  (step @p761 :rule cong :premises (@p760) :args (@t192))
% 160.90/161.14  (step @p762 :rule cong :premises (@p761 @p758) :args ((tptp.join @t192 @t190)))
% 160.90/161.14  (step @p763 :rule symm :premises (@p257))
% 160.90/161.14  (step @p764 :rule trans :premises (@p763 @p264 @p762 @p751 @p750 @p47 @p53))
% 160.90/161.14  (step @p765 :rule cong :premises (@p764) :args (@t99))
% 160.90/161.14  (step @p766 :rule trans :premises (@p258 @p765))
% 160.90/161.14  (step @p767 :rule cong :premises (@p766 @p295) :args (@t98))
% 160.90/161.14  (step @p768 :rule trans :premises (@p275 @p261 @p260 @p227 @p226))
% 160.90/161.14  (step @p769 :rule cong :premises (@p263 @p768) :args (@t100))
% 160.90/161.14  (step @p770 :rule trans :premises (@p98 @p769 @p767 @p749 @p748 @p747 @p746))
% 160.90/161.14  (step @p527 :rule instantiate :premises (@p5) :args (@t161))
% 160.90/161.14  (step @p771 :rule trans :premises (@p550 @p549))
% 160.90/161.14  (step @p772 :rule cong :premises (@p522 @p771) :args (@t156))
% 160.90/161.14  (step @p773 :rule trans :premises (@p772 @p527))
% 160.90/161.14  (step @p774 :rule cong :premises (@p502 @p539) :args ((tptp.composition @t108 @t163)))
% 160.90/161.14  (step @p775 :rule symm :premises (@p512))
% 160.90/161.14  (step @p776 :rule cong :premises (@p505) :args (@t107))
% 160.90/161.14  (step @p777 :rule trans :premises (@p776 @p508))
% 160.90/161.14  (step @p778 :rule cong :premises (@p777 @p777) :args (@t193))
% 160.90/161.14  (step @p779 :rule trans :premises (@p778 @p775))
% 160.90/161.14  (step @p780 :rule cong :premises (@p779) :args ((tptp.converse @t193)))
% 160.90/161.14  (step @p781 :rule symm :premises (@p504))
% 160.90/161.14  (step @p782 :rule cong :premises (@p289 @p304) :args (@t146))
% 160.90/161.14  (step @p783 :rule trans :premises (@p782 @p781 @p780 @p515 @p774))
% 160.90/161.14  (step @p784 :rule trans :premises (@p783 @p773))
% 160.90/161.14  (step @p785 :rule cong :premises (@p784 @p770) :args (@t147))
% 160.90/161.14  (step @p786 :rule cong :premises (@p468 @p295) :args ((tptp.join @t146 @t91)))
% 160.90/161.14  (step @p787 :rule cong :premises (@p133 @p213) :args (@t129))
% 160.90/161.14  (step @p788 :rule symm :premises (@p464))
% 160.90/161.14  (step @p789 :rule trans :premises (@p142 @p243 @p216 @p242 @p241 @p240 @p148 @p47 @p53))
% 160.90/161.14  (step @p790 :rule cong :premises (@p407 @p789) :args (@t135))
% 160.90/161.14  (step @p791 :rule symm :premises (@p405))
% 160.90/161.14  (step @p792 :rule symm :premises (@p402))
% 160.90/161.14  (step @p793 :rule trans :premises (@p792 @p47 @p53))
% 160.90/161.14  (step @p794 :rule cong :premises (@p294 @p793) :args ((tptp.join @t54 (tptp.join @t133 @t134))))
% 160.90/161.14  (step @p795 :rule symm :premises (@p401))
% 160.90/161.14  (step @p796 :rule symm :premises (@p392))
% 160.90/161.14  (step @p797 :rule cong :premises (@p796) :args (@t131))
% 160.90/161.14  (step @p798 :rule cong :premises (@p171 @p96) :args (@t52))
% 160.90/161.14  (step @p799 :rule trans :premises (@p798 @p395 @p397))
% 160.90/161.14  (step @p800 :rule cong :premises (@p799 @p797) :args (@t132))
% 160.90/161.14  (step @p801 :rule trans :premises (@p800 @p795 @p794 @p791 @p135 @p147 @p183 @p237 @p235 @p217 @p215 @p156))
% 160.90/161.14  (step @p802 :rule cong :premises (@p407 @p801) :args ((tptp.join @t130 @t132)))
% 160.90/161.14  (step @p803 :rule cong :premises (@p171 @p494) :args (@t194))
% 160.90/161.14  (step @p804 :rule trans :premises (@p803 @p203 @p202 @p130 @p125 @p108 @p384))
% 160.90/161.14  (step @p805 :rule cong :premises (@p140 @p804) :args ((tptp.join @t52 @t194)))
% 160.90/161.14  (step @p806 :rule symm :premises (@p374))
% 160.90/161.14  (step @p807 :rule cong :premises (@p188 @p150) :args ((tptp.join @t77 @t78)))
% 160.90/161.14  (step @p808 :rule trans :premises (@p58 @p48 @p184 @p807 @p806 @p805 @p388 @p390 @p802 @p790))
% 160.90/161.14  (step @p809 :rule cong :premises (@p808) :args (@t54))
% 160.90/161.14  (step @p810 :rule symm :premises (@p46))
% 160.90/161.14  (step @p811 :rule trans :premises (@p810 @p47 @p53))
% 160.90/161.14  (step @p812 :rule cong :premises (@p811) :args (@t195))
% 160.90/161.14  (step @p813 :rule eq-symm :args (@t195 @t143))
% 160.90/161.14  (step @p814 :rule cong :premises (@p33 @p813) :args ((=> @t42 @t196)))
% 160.90/161.14  (assume-push @p928 @t42)
% 160.90/161.14  (step-pop @p929 :rule scope :premises (@p45))
% 160.90/161.14  (step @p816 :rule process_scope :premises (@p929) :args (@t196))
% 160.90/161.14  (step @p818 :rule eq_resolve :premises (@p816 @p814))
% 160.90/161.14  (step @p819 :rule implies_elim :premises (@p818))
% 160.90/161.14  (step @p820 :rule chain_m_resolution :premises (@p819 @p31) :args ((= @t143 @t195) @t44 @t45))
% 160.90/161.14  (step @p821 :rule trans :premises (@p449 @p448 @p447 @p118))
% 160.90/161.14  (step @p822 :rule cong :premises (@p455 @p821) :args ((tptp.meet tptp.one @t64)))
% 160.90/161.14  (step @p823 :rule trans :premises (@p797 @p452 @p822 @p820 @p812))
% 160.90/161.14  (step @p824 :rule cong :premises (@p407 @p823) :args ((tptp.join @t130 @t131)))
% 160.90/161.14  (step @p825 :rule trans :premises (@p117 @p444 @p443 @p438 @p384 @p450 @p824))
% 160.90/161.14  (step @p826 :rule cong :premises (@p825) :args (@t142))
% 160.90/161.14  (step @p827 :rule trans :premises (@p167 @p203 @p202 @p130 @p125 @p108 @p449 @p448 @p447 @p118))
% 160.90/161.14  (step @p828 :rule cong :premises (@p827) :args (@t138))
% 160.90/161.14  (step @p829 :rule cong :premises (@p414) :args (@t80))
% 160.90/161.14  (step @p830 :rule trans :premises (@p829 @p828 @p826))
% 160.90/161.14  (step @p831 :rule trans :premises (@p302 @p830))
% 160.90/161.14  (step @p832 :rule cong :premises (@p831 @p809) :args (@t70))
% 160.90/161.14  (step @p833 :rule trans :premises (@p96 @p832 @p788 @p787 @p466 @p786 @p785 @p735 @p734 @p520 @p519))
% 160.90/161.14  (step @p834 :rule cong :premises (@p833) :args (@t56))
% 160.90/161.14  (step @p835 :rule trans :premises (@p368 @p350 @p340 @p334 @p324 @p834 @p553))
% 160.90/161.14  (step @p836 :rule trans :premises (@p372 @p329 @p371 @p345 @p370))
% 160.90/161.14  (step @p837 :rule trans :premises (@p836 @p835))
% 160.90/161.14  (step @p838 :rule cong :premises (@p837 @p93) :args (@t188))
% 160.90/161.14  (step @p839 :rule trans :premises (@p560 @p91 @p838 @p558 @p724))
% 160.90/161.14  (step @p840 :rule cong :premises (@p839) :args (@t187))
% 160.90/161.14  (step @p841 :rule trans :premises (@p83 @p840 @p565 @p722))
% 160.90/161.14  (step @p842 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 @t30)))
% 160.90/161.14  (step @p843 :rule symm :premises (@p842))
% 160.90/161.14  (step @p844 :rule symm :premises (@p699))
% 160.90/161.14  (step @p845 :rule cong :premises (@p844 @p632) :args ((tptp.join (tptp.join @t30 @t28) tptp.sk1)))
% 160.90/161.14  (step @p846 :rule instantiate :premises (@p2) :args ((@list @t30 @t28 tptp.sk1)))
% 160.90/161.14  (step @p847 :rule cong :premises (@p670 @p632) :args (@t172))
% 160.90/161.14  (step @p848 :rule cong :premises (@p575 @p847) :args (@t197))
% 160.90/161.14  (step @p849 :rule trans :premises (@p848 @p846 @p845 @p843 @p16 @p14))
% 160.90/161.14  (step @p850 :rule cong :premises (@p637 @p18) :args ((tptp.join @t175 tptp.sk2)))
% 160.90/161.14  (step @p851 :rule instantiate :premises (@p2) :args ((@list @t28 tptp.sk1 tptp.sk2)))
% 160.90/161.14  (step @p852 :rule trans :premises (@p851 @p850))
% 160.90/161.14  (step @p853 :rule cong :premises (@p852 @p18) :args (@t199))
% 160.90/161.14  (step @p854 :rule cong :premises (@p853 @p849) :args ((tptp.join @t199 @t197)))
% 160.90/161.14  (step @p855 :rule symm :premises (@p848))
% 160.90/161.14  (step @p856 :rule symm :premises (@p846))
% 160.90/161.14  (step @p857 :rule symm :premises (@p845))
% 160.90/161.14  (step @p858 :rule trans :premises (@p857 @p856 @p855))
% 160.90/161.14  (step @p859 :rule refl :args (@t199))
% 160.90/161.14  (step @p860 :rule cong :premises (@p859 @p858) :args ((tptp.join @t199 @t200)))
% 160.90/161.14  (step @p861 :rule instantiate :premises (@p2) :args ((@list @t199 @t30 tptp.sk1)))
% 160.90/161.14  (step @p862 :rule symm :premises (@p861))
% 160.90/161.14  (step @p863 :rule instantiate :premises (@p1) :args ((@list @t198 tptp.sk2)))
% 160.90/161.14  (step @p864 :rule symm :premises (@p863))
% 160.90/161.14  (step @p865 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.sk2 @t28)))
% 160.90/161.14  (step @p866 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 @t166)))
% 160.90/161.14  (step @p867 :rule symm :premises (@p866))
% 160.90/161.14  (step @p868 :rule trans :premises (@p867 @p865))
% 160.90/161.14  (step @p869 :rule cong :premises (@p18 @p868) :args (@t202))
% 160.90/161.14  (step @p870 :rule trans :premises (@p869 @p864))
% 160.90/161.14  (step @p871 :rule cong :premises (@p870 @p575) :args ((tptp.join @t202 @t30)))
% 160.90/161.14  (step @p872 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 @t201 @t30)))
% 160.90/161.14  (step @p873 :rule instantiate :premises (@p2) :args ((@list @t166 tptp.sk1 @t30)))
% 160.90/161.14  (step @p874 :rule refl :args (@t166))
% 160.90/161.14  (step @p875 :rule cong :premises (@p874 @p655) :args ((tptp.join @t166 tptp.sk3)))
% 160.90/161.14  (step @p876 :rule instantiate :premises (@p2) :args ((@list tptp.sk2 @t28 tptp.sk3)))
% 160.90/161.14  (step @p877 :rule cong :premises (@p18 @p659) :args (@t30))
% 160.90/161.14  (step @p878 :rule trans :premises (@p877 @p876 @p875 @p873))
% 160.90/161.14  (step @p879 :rule cong :premises (@p18 @p878) :args (@t180))
% 160.90/161.14  (step @p880 :rule trans :premises (@p569 @p879 @p872 @p871))
% 160.90/161.14  (step @p881 :rule cong :premises (@p880 @p632) :args ((tptp.join @t60 tptp.sk1)))
% 160.90/161.14  (step @p882 :rule trans :premises (@p698 @p20 @p22 @p24 @p881 @p862 @p860 @p854))
% 160.90/161.14  (step @p883 :rule symm :premises (@p590))
% 160.90/161.14  (step @p884 :rule trans :premises (@p883 @p74 @p73 @p72 @p27))
% 160.90/161.14  (step @p885 :rule cong :premises (@p76 @p884) :args ((tptp.join @t60 (tptp.join tptp.sk1 @t57))))
% 160.90/161.14  (step @p886 :rule instantiate :premises (@p2) :args ((@list @t60 tptp.sk1 @t57)))
% 160.90/161.14  (step @p887 :rule symm :premises (@p886))
% 160.90/161.14  (step @p888 :rule trans :premises (@p698 @p20 @p22 @p24))
% 160.90/161.14  (step @p889 :rule cong :premises (@p888 @p68) :args (@t203))
% 160.90/161.14  (step @p890 :rule trans :premises (@p889 @p887 @p885 @p25 @p23 @p21 @p19))
% 160.90/161.14  (step @p891 :rule trans :premises (@p890 @p882))
% 160.90/161.14  (step @p892 :rule cong :premises (@p891 @p841) :args ((tptp.join @t203 tptp.sk1)))
% 160.90/161.14  (step @p893 :rule instantiate :premises (@p2) :args ((@list @t30 @t57 tptp.sk1)))
% 160.90/161.14  (step @p894 :rule trans :premises (@p26 @p593 @p592 @p591))
% 160.90/161.14  (step @p895 :rule cong :premises (@p575 @p894) :args (@t200))
% 160.90/161.14  (step @p896 :rule eq-symm :args (@t35 @t29))
% 160.90/161.14  (step @p897 :rule cong :premises (@p623 @p896) :args ((=> @t8 @t204)))
% 160.90/161.14  (assume-push @p930 @t8)
% 160.90/161.14  (step-pop @p931 :rule scope :premises (@p16))
% 160.90/161.14  (step @p899 :rule process_scope :premises (@p931) :args (@t204))
% 160.90/161.14  (step @p901 :rule eq_resolve :premises (@p899 @p897))
% 160.90/161.14  (step @p902 :rule implies_elim :premises (@p901))
% 160.90/161.14  (step @p903 :rule chain_m_resolution :premises (@p902 @p2) :args ((= @t29 @t35) @t44 @t174))
% 160.90/161.14  (step @p904 :rule trans :premises (@p659 @p903 @p842 @p895 @p893 @p892 @p721 @p719 @p684 @p682 @p675 @p673 @p669 @p668))
% 160.90/161.14  (step @p905 :rule eq-symm :args (@t30 tptp.sk3))
% 160.90/161.14  (step @p906 :rule cong :premises (@p905) :args (@t31))
% 160.90/161.14  (step @p907 :rule eq-symm :args (@t32 tptp.sk3))
% 160.90/161.14  (step @p908 :rule cong :premises (@p907) :args (@t33))
% 160.90/161.14  (step @p909 :rule nary_cong :premises (@p908 @p906) :args (@t34))
% 160.90/161.14  (step @p910 :rule eq_resolve :premises (@p15 @p909))
% 160.90/161.14  (step @p911 false :rule chain_m_resolution :premises (@p910 @p904 @p667) :args (false (@list false false) (@list (= tptp.sk3 @t32) (= tptp.sk3 @t30))))
% 160.90/161.14  )
% 160.90/161.14  % SZS output end Proof
% 160.90/161.14  % cvc5 exiting
%------------------------------------------------------------------------------