↑ Up

cvc5---1.3.4.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT160-1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n024.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 08:29:51 AM UTC 2026

% Result   : Unsatisfiable 66.06s 66.37s
% Output   : Proof 66.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : LAT160-1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 00:54:45 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.15/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.38/15.68  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.49/21.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.48/27.72  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.57/33.81  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 63.66/63.96  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 66.06/66.37  % SZS status Unsatisfiable
% 66.06/66.37  % SZS output start Proof
% 66.06/66.38  (
% 66.06/66.38  (declare-sort $$unsorted 0)
% 66.06/66.38  (declare-const tptp.b $$unsorted)
% 66.06/66.38  (declare-const tptp.a $$unsorted)
% 66.06/66.38  (declare-const tptp.c $$unsorted)
% 66.06/66.38  (declare-const tptp.d $$unsorted)
% 66.06/66.38  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 66.06/66.38  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 66.06/66.38  (define @t1 () (@var "X" $$unsorted))
% 66.06/66.38  (define @t2 () (tptp.meet @t1 @t1))
% 66.06/66.38  (define @t3 () (@list @t1))
% 66.06/66.38  (define @t4 () (forall @t3 (= @t2 @t1)))
% 66.06/66.38  (define @t5 () (tptp.join @t1 @t1))
% 66.06/66.38  (define @t6 () (forall @t3 (= @t5 @t1)))
% 66.06/66.38  (define @t7 () (@var "Y" $$unsorted))
% 66.06/66.38  (define @t8 () (tptp.join @t1 @t7))
% 66.06/66.38  (define @t9 () (tptp.meet @t1 @t8))
% 66.06/66.38  (define @t10 () (@list @t1 @t7))
% 66.06/66.38  (define @t11 () (forall @t10 (= @t9 @t1)))
% 66.06/66.38  (define @t12 () (tptp.meet @t1 @t7))
% 66.06/66.38  (define @t13 () (tptp.join @t1 @t12))
% 66.06/66.38  (define @t14 () (forall @t10 (= @t13 @t1)))
% 66.06/66.38  (define @t15 () (@var "Z" $$unsorted))
% 66.06/66.38  (define @t16 () (@list @t1 @t7 @t15))
% 66.06/66.38  (define @t17 () (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15)))))
% 66.06/66.38  (define @t18 () (@var "U" $$unsorted))
% 66.06/66.38  (define @t19 () (tptp.meet tptp.c tptp.d))
% 66.06/66.38  (define @t20 () (tptp.meet tptp.a tptp.c))
% 66.06/66.38  (define @t21 () (tptp.join @t20 @t19))
% 66.06/66.38  (define @t22 () (tptp.join tptp.b @t21))
% 66.06/66.38  (define @t23 () (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.c (tptp.join tptp.a tptp.d)))))
% 66.06/66.38  (define @t24 () (= @t23 (tptp.meet tptp.a @t22)))
% 66.06/66.38  (define @t25 () (@list tptp.a tptp.c))
% 66.06/66.38  (define @t26 () (tptp.meet tptp.c (tptp.join tptp.a tptp.b)))
% 66.06/66.38  (define @t27 () (tptp.join tptp.b @t19))
% 66.06/66.38  (define @t28 () (tptp.join @t27 @t26))
% 66.06/66.38  (define @t29 () (tptp.join tptp.b (tptp.join @t19 @t26)))
% 66.06/66.38  (define @t30 () (= @t28 @t29))
% 66.06/66.38  (define @t31 () (= @t29 @t28))
% 66.06/66.38  (define @t32 () (@list false))
% 66.06/66.38  (define @t33 () (@list @t17))
% 66.06/66.38  (define @t34 () (tptp.join tptp.a @t27))
% 66.06/66.38  (define @t35 () (tptp.meet tptp.c @t34))
% 66.06/66.38  (define @t36 () (tptp.meet tptp.c tptp.b))
% 66.06/66.38  (define @t37 () (tptp.join @t27 @t36))
% 66.06/66.38  (define @t38 () (tptp.join @t37 @t35))
% 66.06/66.38  (define @t39 () (tptp.join @t27 (tptp.join @t36 @t35)))
% 66.06/66.38  (define @t40 () (= @t38 @t39))
% 66.06/66.38  (define @t41 () (= @t39 @t38))
% 66.06/66.38  (define @t42 () (tptp.meet tptp.c @t27))
% 66.06/66.38  (define @t43 () (tptp.join @t19 @t36))
% 66.06/66.38  (define @t44 () (tptp.join tptp.b @t42))
% 66.06/66.38  (define @t45 () (tptp.join @t42 @t36))
% 66.06/66.38  (define @t46 () (tptp.join @t44 @t19))
% 66.06/66.38  (define @t47 () (tptp.join @t46 @t42))
% 66.06/66.38  (define @t48 () (tptp.join @t19 @t42))
% 66.06/66.38  (define @t49 () (tptp.join @t44 @t48))
% 66.06/66.38  (define @t50 () (= @t47 @t49))
% 66.06/66.38  (define @t51 () (= @t49 @t47))
% 66.06/66.38  (define @t52 () (@list tptp.a))
% 66.06/66.38  (define @t53 () (tptp.meet tptp.c tptp.a))
% 66.06/66.38  (define @t54 () (tptp.join @t53 @t35))
% 66.06/66.38  (define @t55 () (tptp.join @t27 @t53))
% 66.06/66.38  (define @t56 () (tptp.join @t55 @t35))
% 66.06/66.38  (define @t57 () (tptp.join @t27 @t54))
% 66.06/66.38  (define @t58 () (= @t56 @t57))
% 66.06/66.38  (define @t59 () (@list @t27 @t53 @t35))
% 66.06/66.38  (define @t60 () (= @t57 @t56))
% 66.06/66.38  (define @t61 () (tptp.join tptp.a @t37))
% 66.06/66.38  (define @t62 () (tptp.meet tptp.c @t61))
% 66.06/66.38  (define @t63 () (tptp.meet @t53 tptp.a))
% 66.06/66.38  (define @t64 () (= @t20 @t53))
% 66.06/66.38  (define @t65 () (tptp.join @t21 tptp.b))
% 66.06/66.38  (define @t66 () (= @t22 @t65))
% 66.06/66.38  (define @t67 () (tptp.join @t19 @t20))
% 66.06/66.38  (define @t68 () (= @t21 @t67))
% 66.06/66.38  (define @t69 () (tptp.meet tptp.a @t29))
% 66.06/66.38  (define @t70 () (= @t23 @t69))
% 66.06/66.38  (define @t71 () (tptp.join @t19 tptp.b))
% 66.06/66.38  (define @t72 () (tptp.join @t20 @t71))
% 66.06/66.38  (define @t73 () (= @t65 @t72))
% 66.06/66.38  (define @t74 () (tptp.join tptp.b @t67))
% 66.06/66.38  (define @t75 () (tptp.join @t27 @t20))
% 66.06/66.38  (define @t76 () (= @t75 @t74))
% 66.06/66.38  (define @t77 () (= @t71 @t27))
% 66.06/66.38  (define @t78 () (tptp.meet tptp.a @t39))
% 66.06/66.38  (define @t79 () (= (tptp.meet tptp.a @t28) @t78))
% 66.06/66.38  (define @t80 () (tptp.meet tptp.b tptp.c))
% 66.06/66.38  (define @t81 () (= @t36 @t80))
% 66.06/66.38  (define @t82 () (tptp.join @t35 @t37))
% 66.06/66.38  (define @t83 () (= @t38 @t82))
% 66.06/66.38  (define @t84 () (tptp.join tptp.b @t36))
% 66.06/66.38  (define @t85 () (tptp.join @t19 @t84))
% 66.06/66.38  (define @t86 () (= (tptp.join @t71 @t36) @t85))
% 66.06/66.38  (define @t87 () (tptp.join @t27 @t35))
% 66.06/66.38  (define @t88 () (= (tptp.join @t35 @t27) @t87))
% 66.06/66.38  (define @t89 () (= tptp.b (tptp.join tptp.b @t80)))
% 66.06/66.38  (define @t90 () (tptp.join @t36 tptp.b))
% 66.06/66.38  (define @t91 () (= @t84 @t90))
% 66.06/66.38  (define @t92 () (tptp.meet @t27 tptp.c))
% 66.06/66.38  (define @t93 () (= @t42 @t92))
% 66.06/66.38  (define @t94 () (= @t37 (tptp.join @t37 (tptp.meet @t37 tptp.c))))
% 66.06/66.38  (define @t95 () (tptp.join @t36 @t19))
% 66.06/66.38  (define @t96 () (= @t95 @t43))
% 66.06/66.38  (define @t97 () (tptp.join @t36 @t36))
% 66.06/66.38  (define @t98 () (= @t36 @t97))
% 66.06/66.38  (define @t99 () (tptp.join @t19 @t90))
% 66.06/66.38  (define @t100 () (tptp.join @t43 tptp.b))
% 66.06/66.38  (define @t101 () (= @t100 @t99))
% 66.06/66.38  (define @t102 () (tptp.join @t43 @t44))
% 66.06/66.38  (define @t103 () (tptp.join @t100 @t42))
% 66.06/66.38  (define @t104 () (= @t103 @t102))
% 66.06/66.38  (define @t105 () (tptp.join @t45 @t36))
% 66.06/66.38  (define @t106 () (= @t105 (tptp.join @t42 @t97)))
% 66.06/66.38  (define @t107 () (tptp.join @t36 @t42))
% 66.06/66.38  (define @t108 () (= @t45 @t107))
% 66.06/66.38  (define @t109 () (tptp.join @t84 @t42))
% 66.06/66.38  (define @t110 () (= @t109 (tptp.join tptp.b @t107)))
% 66.06/66.38  (define @t111 () (= @t102 (tptp.join @t44 @t43)))
% 66.06/66.38  (define @t112 () (tptp.join tptp.b @t45))
% 66.06/66.38  (define @t113 () (tptp.join @t112 @t36))
% 66.06/66.38  (define @t114 () (= @t113 (tptp.join tptp.b @t105)))
% 66.06/66.38  (define @t115 () (tptp.join @t44 @t95))
% 66.06/66.38  (define @t116 () (= (tptp.join (tptp.join @t44 @t36) @t19) @t115))
% 66.06/66.38  (define @t117 () (tptp.join tptp.a tptp.a))
% 66.06/66.38  (define @t118 () (= tptp.a @t117))
% 66.06/66.38  (define @t119 () (tptp.meet tptp.a tptp.a))
% 66.06/66.38  (define @t120 () (= tptp.a @t119))
% 66.06/66.38  (define @t121 () (tptp.meet tptp.c @t119))
% 66.06/66.38  (define @t122 () (= @t63 @t121))
% 66.06/66.38  (define @t123 () (tptp.meet tptp.c @t117))
% 66.06/66.38  (define @t124 () (tptp.join @t27 @t123))
% 66.06/66.38  (define @t125 () (tptp.meet tptp.a @t124))
% 66.06/66.38  (define @t126 () (= @t125 (tptp.meet tptp.a @t57)))
% 66.06/66.38  (define @t127 () (= @t54 (tptp.join @t35 @t53)))
% 66.06/66.38  (define @t128 () (= @t57 (tptp.join @t54 @t27)))
% 66.06/66.38  (define @t129 () (= @t35 (tptp.join @t35 @t35)))
% 66.06/66.38  (define @t130 () (tptp.join @t54 @t49))
% 66.06/66.38  (define @t131 () (tptp.join (tptp.join @t54 @t44) @t48))
% 66.06/66.38  (define @t132 () (= @t131 @t130))
% 66.06/66.38  (define @t133 () (tptp.join @t35 @t62))
% 66.06/66.38  (define @t134 () (tptp.join @t55 @t133))
% 66.06/66.38  (define @t135 () (= (tptp.join @t56 @t62) @t134))
% 66.06/66.38  (define @t136 () (tptp.meet tptp.a @t35))
% 66.06/66.38  (define @t137 () (tptp.meet @t20 @t34))
% 66.06/66.38  (define @t138 () (= @t137 @t136))
% 66.06/66.38  (define @t139 () (= tptp.a (tptp.join tptp.a @t20)))
% 66.06/66.38  (define @t140 () (tptp.join tptp.a @t63))
% 66.06/66.38  (define @t141 () (tptp.join @t140 @t27))
% 66.06/66.38  (define @t142 () (= @t141 (tptp.join tptp.a (tptp.join @t63 @t27))))
% 66.06/66.38  (define @t143 () (tptp.meet @t35 tptp.a))
% 66.06/66.38  (define @t144 () (= @t136 @t143))
% 66.06/66.38  (define @t145 () (tptp.meet tptp.a @t34))
% 66.06/66.38  (define @t146 () (tptp.meet @t53 @t145))
% 66.06/66.38  (define @t147 () (= (tptp.meet @t63 @t34) @t146))
% 66.06/66.38  (define @t148 () (tptp.join @t35 @t143))
% 66.06/66.38  (define @t149 () (= @t35 @t148))
% 66.06/66.38  (define @t150 () (tptp.join tptp.a @t55))
% 66.06/66.38  (define @t151 () (= tptp.a (tptp.meet tptp.a @t150)))
% 66.06/66.38  (define @t152 () (tptp.meet tptp.c @t150))
% 66.06/66.38  (define @t153 () (tptp.join @t56 @t152))
% 66.06/66.38  (define @t154 () (and @t64 @t66 @t68 @t70 @t73 @t76 @t31 @t77 @t79 @t81 @t41 @t83 @t86 @t88 @t89 @t91 @t93 @t94 @t96 @t98 @t101 @t104 @t106 @t108 @t110 @t111 @t114 @t116 @t51 @t118 @t120 @t122 @t126 @t127 @t128 @t60 @t129 @t132 @t135 @t138 @t139 @t142 @t144 @t147 @t149 @t151))
% 66.06/66.38  (assume @p1 @t4)
% 66.06/66.38  (assume @p2 @t6)
% 66.06/66.38  (assume @p3 @t11)
% 66.06/66.38  (assume @p4 @t14)
% 66.06/66.38  (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1))))
% 66.06/66.38  (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1))))
% 66.06/66.38  (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15)))))
% 66.06/66.38  (assume @p8 @t17)
% 66.06/66.38  (assume @p9 (forall (@list @t1 @t7 @t15 @t18) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 @t18)))) (tptp.meet @t1 (tptp.join @t7 (tptp.join (tptp.meet @t15 @t18) (tptp.meet @t15 @t8)))))))
% 66.06/66.38  (assume @p10 (not @t24))
% 66.06/66.38  (step @p11 :rule instantiate :premises (@p5) :args (@t25))
% 66.06/66.38  (step @p12 :rule instantiate :premises (@p6) :args ((@list tptp.b @t21)))
% 66.06/66.38  (step @p13 :rule instantiate :premises (@p6) :args ((@list @t20 @t19)))
% 66.06/66.38  (step @p14 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.c tptp.d)))
% 66.06/66.38  (step @p15 :rule instantiate :premises (@p8) :args ((@list @t20 @t19 tptp.b)))
% 66.06/66.38  (step @p16 :rule instantiate :premises (@p8) :args ((@list tptp.b @t19 @t20)))
% 66.06/66.38  (step @p17 :rule eq-symm :args (@t28 @t29))
% 66.06/66.38  (step @p18 :rule refl :args (@t17))
% 66.06/66.38  (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t17 @t30)))
% 66.06/66.38  (assume-push @p328 @t17)
% 66.06/66.38  (step @p21 :rule instantiate :premises (@p8) :args ((@list tptp.b @t19 @t26)))
% 66.06/66.38  (step-pop @p329 :rule scope :premises (@p21))
% 66.06/66.38  (step @p22 :rule process_scope :premises (@p329) :args (@t30))
% 66.06/66.38  (step @p24 :rule eq_resolve :premises (@p22 @p19))
% 66.06/66.38  (step @p25 :rule implies_elim :premises (@p24))
% 66.06/66.38  (step @p26 :rule chain_m_resolution :premises (@p25 @p8) :args (@t31 @t32 @t33))
% 66.06/66.38  (step @p27 :rule instantiate :premises (@p6) :args ((@list @t19 tptp.b)))
% 66.06/66.38  (step @p28 :rule instantiate :premises (@p9) :args ((@list tptp.a @t27 tptp.c tptp.b)))
% 66.06/66.38  (step @p29 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.b)))
% 66.06/66.38  (step @p30 :rule eq-symm :args (@t38 @t39))
% 66.06/66.38  (step @p31 :rule cong :premises (@p18 @p30) :args ((=> @t17 @t40)))
% 66.06/66.38  (assume-push @p330 @t17)
% 66.06/66.38  (step @p33 :rule instantiate :premises (@p8) :args ((@list @t27 @t36 @t35)))
% 66.06/66.38  (step-pop @p331 :rule scope :premises (@p33))
% 66.06/66.38  (step @p34 :rule process_scope :premises (@p331) :args (@t40))
% 66.06/66.38  (step @p36 :rule eq_resolve :premises (@p34 @p31))
% 66.06/66.38  (step @p37 :rule implies_elim :premises (@p36))
% 66.06/66.38  (step @p38 :rule chain_m_resolution :premises (@p37 @p8) :args (@t41 @t32 @t33))
% 66.06/66.38  (step @p39 :rule instantiate :premises (@p6) :args ((@list @t37 @t35)))
% 66.06/66.38  (step @p40 :rule instantiate :premises (@p8) :args ((@list @t19 tptp.b @t36)))
% 66.06/66.38  (step @p41 :rule instantiate :premises (@p6) :args ((@list @t35 @t27)))
% 66.06/66.38  (step @p42 :rule eq-symm :args (@t13 @t1))
% 66.06/66.38  (step @p43 :rule cong :premises (@p42) :args (@t14))
% 66.06/66.38  (step @p44 :rule eq_resolve :premises (@p4 @p43))
% 66.06/66.38  (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.b tptp.c)))
% 66.06/66.38  (step @p46 :rule instantiate :premises (@p6) :args ((@list tptp.b @t36)))
% 66.06/66.38  (step @p47 :rule instantiate :premises (@p5) :args ((@list tptp.c @t27)))
% 66.06/66.38  (step @p48 :rule instantiate :premises (@p44) :args ((@list @t37 tptp.c)))
% 66.06/66.38  (step @p49 :rule instantiate :premises (@p6) :args ((@list @t36 @t19)))
% 66.06/66.38  (step @p50 :rule eq-symm :args (@t5 @t1))
% 66.06/66.38  (step @p51 :rule cong :premises (@p50) :args (@t6))
% 66.06/66.38  (step @p52 :rule eq_resolve :premises (@p2 @p51))
% 66.06/66.38  (step @p53 :rule instantiate :premises (@p52) :args ((@list @t36)))
% 66.06/66.38  (step @p54 :rule instantiate :premises (@p8) :args ((@list @t19 @t36 tptp.b)))
% 66.06/66.38  (step @p55 :rule instantiate :premises (@p8) :args ((@list @t43 tptp.b @t42)))
% 66.06/66.38  (step @p56 :rule instantiate :premises (@p8) :args ((@list @t42 @t36 @t36)))
% 66.06/66.38  (step @p57 :rule instantiate :premises (@p6) :args ((@list @t42 @t36)))
% 66.06/66.38  (step @p58 :rule instantiate :premises (@p8) :args ((@list tptp.b @t36 @t42)))
% 66.06/66.38  (step @p59 :rule instantiate :premises (@p6) :args ((@list @t43 @t44)))
% 66.06/66.38  (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.b @t45 @t36)))
% 66.06/66.38  (step @p61 :rule instantiate :premises (@p8) :args ((@list @t44 @t36 @t19)))
% 66.06/66.38  (step @p62 :rule eq-symm :args (@t47 @t49))
% 66.06/66.38  (step @p63 :rule cong :premises (@p18 @p62) :args ((=> @t17 @t50)))
% 66.06/66.38  (assume-push @p332 @t17)
% 66.06/66.38  (step @p65 :rule instantiate :premises (@p8) :args ((@list @t44 @t19 @t42)))
% 66.06/66.38  (step-pop @p333 :rule scope :premises (@p65))
% 66.06/66.38  (step @p66 :rule process_scope :premises (@p333) :args (@t50))
% 66.06/66.38  (step @p68 :rule eq_resolve :premises (@p66 @p63))
% 66.06/66.38  (step @p69 :rule implies_elim :premises (@p68))
% 66.06/66.38  (step @p70 :rule chain_m_resolution :premises (@p69 @p8) :args (@t51 @t32 @t33))
% 66.06/66.38  (step @p71 :rule instantiate :premises (@p52) :args (@t52))
% 66.06/66.38  (step @p72 :rule eq-symm :args (@t2 @t1))
% 66.06/66.38  (step @p73 :rule cong :premises (@p72) :args (@t4))
% 66.06/66.38  (step @p74 :rule eq_resolve :premises (@p1 @p73))
% 66.06/66.38  (step @p75 :rule instantiate :premises (@p74) :args (@t52))
% 66.06/66.38  (step @p76 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a tptp.a)))
% 66.06/66.38  (step @p77 :rule instantiate :premises (@p9) :args ((@list tptp.a @t27 tptp.c tptp.a)))
% 66.06/66.38  (step @p78 :rule instantiate :premises (@p6) :args ((@list @t53 @t35)))
% 66.06/66.38  (step @p79 :rule instantiate :premises (@p6) :args ((@list @t27 @t54)))
% 66.06/66.38  (step @p80 :rule eq-symm :args (@t56 @t57))
% 66.06/66.38  (step @p81 :rule cong :premises (@p18 @p80) :args ((=> @t17 @t58)))
% 66.06/66.38  (assume-push @p334 @t17)
% 66.06/66.38  (step @p83 :rule instantiate :premises (@p8) :args (@t59))
% 66.06/66.38  (step-pop @p335 :rule scope :premises (@p83))
% 66.06/66.38  (step @p84 :rule process_scope :premises (@p335) :args (@t58))
% 66.06/66.38  (step @p86 :rule eq_resolve :premises (@p84 @p81))
% 66.06/66.38  (step @p87 :rule implies_elim :premises (@p86))
% 66.06/66.38  (step @p88 :rule chain_m_resolution :premises (@p87 @p8) :args (@t60 @t32 @t33))
% 66.06/66.38  (step @p89 :rule instantiate :premises (@p52) :args ((@list @t35)))
% 66.06/66.38  (step @p90 :rule instantiate :premises (@p8) :args ((@list @t54 @t44 @t48)))
% 66.06/66.38  (step @p91 :rule instantiate :premises (@p8) :args ((@list @t55 @t35 @t62)))
% 66.06/66.38  (step @p92 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.c @t34)))
% 66.06/66.38  (step @p93 :rule instantiate :premises (@p44) :args (@t25))
% 66.06/66.38  (step @p94 :rule instantiate :premises (@p8) :args ((@list tptp.a @t63 @t27)))
% 66.06/66.38  (step @p95 :rule instantiate :premises (@p5) :args ((@list tptp.a @t35)))
% 66.06/66.38  (step @p96 :rule instantiate :premises (@p7) :args ((@list @t53 tptp.a @t34)))
% 66.06/66.38  (step @p97 :rule instantiate :premises (@p44) :args ((@list @t35 tptp.a)))
% 66.06/66.38  (step @p98 :rule eq-symm :args (@t9 @t1))
% 66.06/66.38  (step @p99 :rule cong :premises (@p98) :args (@t11))
% 66.06/66.38  (step @p100 :rule eq_resolve :premises (@p3 @p99))
% 66.06/66.38  (step @p101 :rule instantiate :premises (@p100) :args ((@list tptp.a @t55)))
% 66.06/66.38  (assume-push @p336 @t64)
% 66.06/66.38  (assume-push @p337 @t66)
% 66.06/66.38  (assume-push @p338 @t68)
% 66.06/66.38  (assume-push @p339 @t70)
% 66.06/66.38  (assume-push @p340 @t73)
% 66.06/66.38  (assume-push @p341 @t76)
% 66.06/66.38  (assume-push @p342 @t31)
% 66.06/66.38  (assume-push @p343 @t77)
% 66.06/66.38  (assume-push @p344 @t79)
% 66.06/66.38  (assume-push @p345 @t81)
% 66.06/66.38  (assume-push @p346 @t41)
% 66.06/66.38  (assume-push @p347 @t83)
% 66.06/66.38  (assume-push @p348 @t86)
% 66.06/66.38  (assume-push @p349 @t88)
% 66.06/66.38  (assume-push @p350 @t89)
% 66.06/66.38  (assume-push @p351 @t91)
% 66.06/66.38  (assume-push @p352 @t93)
% 66.06/66.38  (assume-push @p353 @t94)
% 66.06/66.38  (assume-push @p354 @t96)
% 66.06/66.38  (assume-push @p355 @t98)
% 66.06/66.38  (assume-push @p356 @t101)
% 66.06/66.38  (assume-push @p357 @t104)
% 66.06/66.38  (assume-push @p358 @t106)
% 66.06/66.38  (assume-push @p359 @t108)
% 66.06/66.38  (assume-push @p360 @t110)
% 66.06/66.38  (assume-push @p361 @t111)
% 66.06/66.38  (assume-push @p362 @t114)
% 66.06/66.38  (assume-push @p363 @t116)
% 66.06/66.38  (assume-push @p364 @t51)
% 66.06/66.38  (assume-push @p365 @t118)
% 66.06/66.38  (assume-push @p366 @t120)
% 66.06/66.38  (assume-push @p367 @t122)
% 66.06/66.38  (assume-push @p368 @t126)
% 66.06/66.38  (assume-push @p369 @t127)
% 66.06/66.38  (assume-push @p370 @t128)
% 66.06/66.38  (assume-push @p371 @t60)
% 66.06/66.38  (assume-push @p372 @t129)
% 66.06/66.38  (assume-push @p373 @t132)
% 66.06/66.38  (assume-push @p374 @t135)
% 66.06/66.38  (assume-push @p375 @t138)
% 66.06/66.38  (assume-push @p376 @t139)
% 66.06/66.38  (assume-push @p377 @t142)
% 66.06/66.38  (assume-push @p378 @t144)
% 66.06/66.38  (assume-push @p379 @t147)
% 66.06/66.38  (assume-push @p380 @t149)
% 66.06/66.38  (assume-push @p381 @t151)
% 66.06/66.38  (step @p148 :rule symm :premises (@p13))
% 66.06/66.38  (step @p149 :rule refl :args (tptp.b))
% 66.06/66.38  (step @p150 :rule cong :premises (@p149 @p148) :args (@t74))
% 66.06/66.38  (step @p151 :rule symm :premises (@p11))
% 66.06/66.38  (step @p152 :rule symm :premises (@p71))
% 66.06/66.38  (step @p153 :rule refl :args (tptp.c))
% 66.06/66.38  (step @p154 :rule cong :premises (@p153 @p152) :args (@t123))
% 66.06/66.38  (step @p155 :rule trans :premises (@p154 @p151))
% 66.06/66.38  (step @p156 :rule refl :args (@t27))
% 66.06/66.38  (step @p157 :rule cong :premises (@p156 @p155) :args (@t124))
% 66.06/66.38  (step @p158 :rule trans :premises (@p157 @p16 @p150))
% 66.06/66.38  (step @p159 :rule refl :args (tptp.a))
% 66.06/66.38  (step @p160 :rule cong :premises (@p159 @p158) :args (@t125))
% 66.06/66.38  (step @p161 :rule symm :premises (@p77))
% 66.06/66.38  (step @p83 :rule instantiate :premises (@p8) :args (@t59))
% 66.06/66.38  (step @p162 :rule symm :premises (@p89))
% 66.06/66.38  (step @p163 :rule cong :premises (@p159 @p27) :args ((tptp.join tptp.a @t71)))
% 66.06/66.38  (step @p164 :rule symm :premises (@p45))
% 66.06/66.38  (step @p165 :rule cong :premises (@p149 @p29) :args (@t84))
% 66.06/66.38  (step @p166 :rule trans :premises (@p165 @p164))
% 66.06/66.38  (step @p167 :rule refl :args (@t19))
% 66.06/66.38  (step @p168 :rule cong :premises (@p167 @p166) :args (@t85))
% 66.06/66.38  (step @p169 :rule refl :args (@t36))
% 66.06/66.38  (step @p170 :rule symm :premises (@p27))
% 66.06/66.38  (step @p171 :rule cong :premises (@p170 @p169) :args (@t37))
% 66.06/66.38  (step @p172 :rule trans :premises (@p171 @p40 @p168))
% 66.06/66.38  (step @p173 :rule cong :premises (@p159 @p172) :args (@t61))
% 66.06/66.38  (step @p174 :rule trans :premises (@p173 @p163))
% 66.06/66.38  (step @p175 :rule cong :premises (@p153 @p174) :args (@t62))
% 66.06/66.38  (step @p176 :rule refl :args (@t35))
% 66.06/66.38  (step @p177 :rule cong :premises (@p176 @p175) :args (@t133))
% 66.06/66.38  (step @p178 :rule trans :premises (@p177 @p162))
% 66.06/66.38  (step @p179 :rule refl :args (@t55))
% 66.06/66.38  (step @p180 :rule cong :premises (@p179 @p178) :args (@t134))
% 66.06/66.38  (step @p181 :rule refl :args (@t62))
% 66.06/66.38  (step @p182 :rule symm :premises (@p79))
% 66.06/66.38  (step @p183 :rule symm :premises (@p48))
% 66.06/66.38  (step @p184 :rule symm :premises (@p171))
% 66.06/66.38  (step @p185 :rule symm :premises (@p40))
% 66.06/66.38  (step @p186 :rule symm :premises (@p168))
% 66.06/66.38  (step @p187 :rule trans :premises (@p170 @p186 @p185 @p184))
% 66.06/66.38  (step @p188 :rule cong :premises (@p187 @p153) :args (@t92))
% 66.06/66.38  (step @p189 :rule trans :premises (@p47 @p188))
% 66.06/66.38  (step @p190 :rule refl :args (@t37))
% 66.06/66.38  (step @p191 :rule cong :premises (@p190 @p189) :args ((tptp.join @t37 @t42)))
% 66.06/66.38  (step @p192 :rule refl :args (@t42))
% 66.06/66.38  (step @p193 :rule symm :premises (@p46))
% 66.06/66.38  (step @p194 :rule cong :premises (@p167 @p193) :args (@t99))
% 66.06/66.38  (step @p195 :rule trans :premises (@p54 @p194 @p185 @p184))
% 66.06/66.38  (step @p196 :rule cong :premises (@p195 @p192) :args (@t103))
% 66.06/66.38  (step @p197 :rule symm :premises (@p55))
% 66.06/66.38  (step @p198 :rule symm :premises (@p59))
% 66.06/66.38  (step @p199 :rule refl :args (@t44))
% 66.06/66.38  (step @p200 :rule cong :premises (@p199 @p49) :args (@t115))
% 66.06/66.38  (step @p201 :rule cong :premises (@p166 @p192) :args (@t109))
% 66.06/66.38  (step @p202 :rule symm :premises (@p58))
% 66.06/66.38  (step @p203 :rule cong :premises (@p149 @p57) :args (@t112))
% 66.06/66.38  (step @p204 :rule trans :premises (@p203 @p202 @p201))
% 66.06/66.38  (step @p205 :rule cong :premises (@p204 @p169) :args (@t113))
% 66.06/66.38  (step @p206 :rule symm :premises (@p60))
% 66.06/66.38  (step @p207 :rule symm :premises (@p56))
% 66.06/66.38  (step @p208 :rule cong :premises (@p192 @p53) :args (@t45))
% 66.06/66.38  (step @p209 :rule trans :premises (@p208 @p207))
% 66.06/66.38  (step @p210 :rule cong :premises (@p149 @p209) :args (@t112))
% 66.06/66.38  (step @p211 :rule symm :premises (@p203))
% 66.06/66.38  (step @p212 :rule symm :premises (@p201))
% 66.06/66.38  (step @p213 :rule trans :premises (@p212 @p58 @p211 @p210 @p206 @p205))
% 66.06/66.38  (step @p214 :rule cong :premises (@p213 @p167) :args (@t46))
% 66.06/66.38  (step @p215 :rule trans :premises (@p214 @p61 @p200 @p198 @p197 @p196 @p191 @p183))
% 66.06/66.38  (step @p216 :rule cong :premises (@p215 @p192) :args (@t47))
% 66.06/66.38  (step @p217 :rule trans :premises (@p70 @p216 @p191 @p183 @p171 @p40 @p168 @p27))
% 66.06/66.38  (step @p218 :rule refl :args (@t54))
% 66.06/66.38  (step @p219 :rule cong :premises (@p218 @p217) :args (@t130))
% 66.06/66.38  (step @p220 :rule trans :premises (@p90 @p219 @p182 @p88))
% 66.06/66.38  (step @p221 :rule cong :premises (@p220 @p181) :args ((tptp.join @t131 @t62)))
% 66.06/66.38  (step @p222 :rule symm :premises (@p175))
% 66.06/66.38  (step @p223 :rule symm :premises (@p93))
% 66.06/66.38  (step @p224 :rule symm :premises (@p75))
% 66.06/66.38  (step @p225 :rule cong :premises (@p153 @p224) :args (@t121))
% 66.06/66.38  (step @p226 :rule trans :premises (@p76 @p225 @p151))
% 66.06/66.38  (step @p227 :rule cong :premises (@p159 @p226) :args (@t140))
% 66.06/66.38  (step @p228 :rule trans :premises (@p227 @p223))
% 66.06/66.38  (step @p229 :rule cong :premises (@p228 @p187) :args (@t141))
% 66.06/66.38  (step @p230 :rule symm :premises (@p94))
% 66.06/66.38  (step @p231 :rule symm :premises (@p226))
% 66.06/66.38  (step @p232 :rule cong :premises (@p231 @p27) :args (@t72))
% 66.06/66.38  (step @p233 :rule cong :premises (@p156 @p11) :args (@t75))
% 66.06/66.38  (step @p234 :rule symm :premises (@p233))
% 66.06/66.38  (step @p235 :rule trans :premises (@p234 @p16 @p150 @p12 @p15 @p232))
% 66.06/66.38  (step @p236 :rule cong :premises (@p159 @p235) :args (@t150))
% 66.06/66.38  (step @p237 :rule trans :premises (@p236 @p230 @p229 @p173 @p163))
% 66.06/66.38  (step @p238 :rule cong :premises (@p153 @p237) :args (@t152))
% 66.06/66.38  (step @p239 :rule trans :premises (@p238 @p222))
% 66.06/66.38  (step @p240 :rule symm :premises (@p220))
% 66.06/66.38  (step @p241 :rule cong :premises (@p240 @p239) :args (@t153))
% 66.06/66.38  (step @p242 :rule trans :premises (@p241 @p221 @p91 @p180 @p83))
% 66.06/66.38  (step @p243 :rule cong :premises (@p159 @p242) :args ((tptp.meet tptp.a @t153)))
% 66.06/66.38  (step @p244 :rule symm :premises (@p241))
% 66.06/66.38  (step @p245 :rule symm :premises (@p221))
% 66.06/66.38  (step @p246 :rule symm :premises (@p91))
% 66.06/66.38  (step @p247 :rule symm :premises (@p180))
% 66.06/66.38  (step @p248 :rule symm :premises (@p78))
% 66.06/66.38  (step @p249 :rule symm :premises (@p101))
% 66.06/66.38  (step @p250 :rule symm :premises (@p237))
% 66.06/66.38  (step @p251 :rule cong :premises (@p159 @p250) :args (@t145))
% 66.06/66.38  (step @p252 :rule trans :premises (@p251 @p249))
% 66.06/66.38  (step @p253 :rule refl :args (@t53))
% 66.06/66.38  (step @p254 :rule cong :premises (@p253 @p252) :args (@t146))
% 66.06/66.38  (step @p255 :rule refl :args (@t34))
% 66.06/66.38  (step @p256 :rule symm :premises (@p76))
% 66.06/66.38  (step @p257 :rule symm :premises (@p225))
% 66.06/66.38  (step @p258 :rule trans :premises (@p257 @p256))
% 66.06/66.38  (step @p259 :rule cong :premises (@p258 @p255) :args ((tptp.meet @t53 @t34)))
% 66.06/66.38  (step @p260 :rule cong :premises (@p11 @p255) :args (@t137))
% 66.06/66.38  (step @p261 :rule symm :premises (@p92))
% 66.06/66.38  (step @p262 :rule symm :premises (@p95))
% 66.06/66.38  (step @p263 :rule trans :premises (@p262 @p261 @p260 @p259 @p96 @p254 @p76 @p225))
% 66.06/66.38  (step @p264 :rule cong :premises (@p176 @p263) :args (@t148))
% 66.06/66.38  (step @p265 :rule trans :premises (@p97 @p264 @p248))
% 66.06/66.38  (step @p266 :rule symm :premises (@p187))
% 66.06/66.38  (step @p267 :rule trans :premises (@p215 @p266))
% 66.06/66.38  (step @p268 :rule cong :premises (@p267 @p265) :args ((tptp.join @t46 @t35)))
% 66.06/66.38  (step @p269 :rule symm :premises (@p267))
% 66.06/66.38  (step @p270 :rule cong :premises (@p269 @p176) :args (@t87))
% 66.06/66.38  (step @p271 :rule cong :premises (@p176 @p266) :args (@t82))
% 66.06/66.38  (step @p272 :rule trans :premises (@p38 @p39 @p271 @p41 @p270 @p268 @p88 @p247 @p246 @p245 @p244))
% 66.06/66.38  (step @p273 :rule cong :premises (@p159 @p272) :args (@t78))
% 66.06/66.38  (step @p274 :rule cong :premises (@p159 @p26) :args (@t69))
% 66.06/66.38  (step @p275 :rule trans :premises (@p14 @p274 @p28 @p273 @p243 @p161 @p160))
% 66.06/66.38  (step-pop @p382 :rule scope :premises (@p275))
% 66.06/66.38  (step-pop @p383 :rule scope :premises (@p382))
% 66.06/66.38  (step-pop @p384 :rule scope :premises (@p383))
% 66.06/66.38  (step-pop @p385 :rule scope :premises (@p384))
% 66.06/66.38  (step-pop @p386 :rule scope :premises (@p385))
% 66.06/66.38  (step-pop @p387 :rule scope :premises (@p386))
% 66.06/66.38  (step-pop @p388 :rule scope :premises (@p387))
% 66.06/66.38  (step-pop @p389 :rule scope :premises (@p388))
% 66.06/66.38  (step-pop @p390 :rule scope :premises (@p389))
% 66.06/66.38  (step-pop @p391 :rule scope :premises (@p390))
% 66.06/66.38  (step-pop @p392 :rule scope :premises (@p391))
% 66.06/66.38  (step-pop @p393 :rule scope :premises (@p392))
% 66.06/66.38  (step-pop @p394 :rule scope :premises (@p393))
% 66.06/66.38  (step-pop @p395 :rule scope :premises (@p394))
% 66.06/66.38  (step-pop @p396 :rule scope :premises (@p395))
% 66.06/66.38  (step-pop @p397 :rule scope :premises (@p396))
% 66.06/66.38  (step-pop @p398 :rule scope :premises (@p397))
% 66.06/66.38  (step-pop @p399 :rule scope :premises (@p398))
% 66.06/66.38  (step-pop @p400 :rule scope :premises (@p399))
% 66.06/66.38  (step-pop @p401 :rule scope :premises (@p400))
% 66.06/66.38  (step-pop @p402 :rule scope :premises (@p401))
% 66.06/66.38  (step-pop @p403 :rule scope :premises (@p402))
% 66.06/66.38  (step-pop @p404 :rule scope :premises (@p403))
% 66.06/66.38  (step-pop @p405 :rule scope :premises (@p404))
% 66.06/66.38  (step-pop @p406 :rule scope :premises (@p405))
% 66.06/66.38  (step-pop @p407 :rule scope :premises (@p406))
% 66.06/66.38  (step-pop @p408 :rule scope :premises (@p407))
% 66.06/66.38  (step-pop @p409 :rule scope :premises (@p408))
% 66.06/66.38  (step-pop @p410 :rule scope :premises (@p409))
% 66.06/66.38  (step-pop @p411 :rule scope :premises (@p410))
% 66.06/66.38  (step-pop @p412 :rule scope :premises (@p411))
% 66.06/66.38  (step-pop @p413 :rule scope :premises (@p412))
% 66.06/66.38  (step-pop @p414 :rule scope :premises (@p413))
% 66.06/66.38  (step-pop @p415 :rule scope :premises (@p414))
% 66.06/66.38  (step-pop @p416 :rule scope :premises (@p415))
% 66.06/66.38  (step-pop @p417 :rule scope :premises (@p416))
% 66.06/66.38  (step-pop @p418 :rule scope :premises (@p417))
% 66.06/66.38  (step-pop @p419 :rule scope :premises (@p418))
% 66.06/66.38  (step-pop @p420 :rule scope :premises (@p419))
% 66.06/66.38  (step-pop @p421 :rule scope :premises (@p420))
% 66.06/66.38  (step-pop @p422 :rule scope :premises (@p421))
% 66.06/66.38  (step-pop @p423 :rule scope :premises (@p422))
% 66.06/66.38  (step-pop @p424 :rule scope :premises (@p423))
% 66.06/66.38  (step-pop @p425 :rule scope :premises (@p424))
% 66.06/66.38  (step-pop @p426 :rule scope :premises (@p425))
% 66.06/66.38  (step-pop @p427 :rule scope :premises (@p426))
% 66.06/66.38  (step @p276 :rule process_scope :premises (@p427) :args (@t24))
% 66.06/66.38  (step @p323 :rule implies_elim :premises (@p276))
% 66.06/66.38  (step @p324 :rule cnf_and_neg :args (@t154))
% 66.06/66.38  (step @p325 :rule resolution :premises (@p324 @p323) :args (true @t154))
% 66.06/66.38  (step @p326 :rule reordering :premises (@p325) :args ((or @t24 (not @t64) (not @t66) (not @t68) (not @t70) (not @t73) (not @t76) (not @t31) (not @t77) (not @t79) (not @t81) (not @t41) (not @t83) (not @t86) (not @t88) (not @t89) (not @t91) (not @t93) (not @t94) (not @t96) (not @t98) (not @t101) (not @t104) (not @t106) (not @t108) (not @t110) (not @t111) (not @t114) (not @t116) (not @t51) (not @t118) (not @t120) (not @t122) (not @t126) (not @t127) (not @t128) (not @t60) (not @t129) (not @t132) (not @t135) (not @t138) (not @t139) (not @t142) (not @t144) (not @t147) (not @t149) (not @t151))))
% 66.06/66.38  (step @p327 false :rule chain_m_resolution :premises (@p326 @p101 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p79 @p78 @p77 @p76 @p75 @p71 @p70 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p49 @p48 @p47 @p46 @p45 @p41 @p40 @p39 @p38 @p29 @p28 @p27 @p26 @p16 @p15 @p14 @p13 @p12 @p11 @p10) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t151 @t149 @t147 @t144 @t142 @t139 @t138 @t135 @t132 @t129 @t60 @t128 @t127 @t126 @t122 @t120 @t118 @t51 @t116 @t114 @t111 @t110 @t108 @t106 @t104 @t101 @t98 @t96 @t94 @t93 @t91 @t89 @t88 @t86 @t83 @t41 @t81 @t79 @t77 @t31 @t76 @t73 @t70 @t68 @t66 @t64 @t24)))
% 66.06/66.38  )
% 66.06/66.39  % SZS output end Proof
% 66.06/66.39  % cvc5 exiting
%------------------------------------------------------------------------------