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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS116+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 : n010.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 08:28:57 AM UTC 2026

% Result   : Unsatisfiable 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS116+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n010.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 05:27:40 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...
% 0.37/0.56  % SZS status Unsatisfiable
% 0.37/0.56  % SZS output start Proof
% 0.37/0.58  (
% 0.37/0.58  (declare-sort $$unsorted 0)
% 0.37/0.58  (declare-const tptp.i2003_11_14_17_21_33997 $$unsorted)
% 0.37/0.58  (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca_Vx3 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca_Vx5 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.rr (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.rp (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca_Vx4 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca_Vx6 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.rs (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca_Vx7 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.rinvP (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ca_Ax2 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.caxcomp (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cc (-> $$unsorted Bool))
% 0.37/0.58  (define @t1 () (@var "X" $$unsorted))
% 0.37/0.58  (define @t2 () (@list @t1))
% 0.37/0.58  (define @t3 () (tptp.ca @t1))
% 0.37/0.58  (define @t4 () (tptp.cUnsatisfiable @t1))
% 0.37/0.58  (define @t5 () (forall @t2 (=> @t4 @t3)))
% 0.37/0.58  (define @t6 () (@var "Y" $$unsorted))
% 0.37/0.58  (define @t7 () (tptp.ca_Ax2 @t6))
% 0.37/0.58  (define @t8 () (tptp.rs @t1 @t6))
% 0.37/0.58  (define @t9 () (and @t8 @t7))
% 0.37/0.58  (define @t10 () (@list @t6))
% 0.37/0.58  (define @t11 () (exists @t10 @t9))
% 0.37/0.58  (define @t12 () (=> @t4 @t11))
% 0.37/0.58  (define @t13 () (forall @t2 @t12))
% 0.37/0.58  (define @t14 () (tptp.ra_Px1 @t1 @t6))
% 0.37/0.58  (define @t15 () (exists @t10 @t14))
% 0.37/0.58  (define @t16 () (not @t15))
% 0.37/0.58  (define @t17 () (= @t3 @t16))
% 0.37/0.58  (define @t18 () (forall @t2 @t17))
% 0.37/0.58  (define @t19 () (@var "Y0" $$unsorted))
% 0.37/0.58  (define @t20 () (tptp.ra_Px1 @t1 @t19))
% 0.37/0.58  (define @t21 () (@list @t19))
% 0.37/0.58  (define @t22 () (exists @t21 @t20))
% 0.37/0.58  (define @t23 () (tptp.caxcomp @t1))
% 0.37/0.58  (define @t24 () (= @t23 @t22))
% 0.37/0.58  (define @t25 () (forall @t2 @t24))
% 0.37/0.58  (define @t26 () (tptp.ca_Vx7 @t6))
% 0.37/0.58  (define @t27 () (tptp.rinvR @t1 @t6))
% 0.37/0.58  (define @t28 () (forall @t10 (=> @t27 @t26)))
% 0.37/0.58  (define @t29 () (tptp.cc @t1))
% 0.37/0.58  (define @t30 () (= @t29 @t28))
% 0.37/0.58  (define @t31 () (forall @t2 @t30))
% 0.37/0.58  (define @t32 () (tptp.ca_Vx4 @t6))
% 0.37/0.58  (define @t33 () (tptp.rp @t1 @t6))
% 0.37/0.58  (define @t34 () (forall @t10 (=> @t33 @t32)))
% 0.37/0.58  (define @t35 () (tptp.cowlThing @t6))
% 0.37/0.58  (define @t36 () (and @t33 @t35))
% 0.37/0.58  (define @t37 () (exists @t10 @t36))
% 0.37/0.58  (define @t38 () (tptp.rr @t1 @t6))
% 0.37/0.58  (define @t39 () (and @t38 @t35))
% 0.37/0.58  (define @t40 () (exists @t10 @t39))
% 0.37/0.58  (define @t41 () (tptp.cc @t6))
% 0.37/0.58  (define @t42 () (forall @t10 (=> @t38 @t41)))
% 0.37/0.58  (define @t43 () (tptp.ca_Vx5 @t6))
% 0.37/0.58  (define @t44 () (forall @t10 (=> @t33 @t43)))
% 0.37/0.58  (define @t45 () (tptp.ca_Vx3 @t6))
% 0.37/0.58  (define @t46 () (forall @t10 (=> @t33 @t45)))
% 0.37/0.58  (define @t47 () (and @t46 @t44 @t42 @t40 @t37 @t34))
% 0.37/0.58  (define @t48 () (tptp.ca_Ax2 @t1))
% 0.37/0.58  (define @t49 () (= @t48 @t47))
% 0.37/0.58  (define @t50 () (forall @t2 @t49))
% 0.37/0.58  (define @t51 () (tptp.ca_Vx3 @t1))
% 0.37/0.58  (define @t52 () (forall @t2 (= @t51 @t40)))
% 0.37/0.58  (define @t53 () (tptp.ca_Vx5 @t1))
% 0.37/0.58  (define @t54 () (forall @t2 (= @t53 @t42)))
% 0.37/0.58  (define @t55 () (tptp.caxcomp @t6))
% 0.37/0.58  (define @t56 () (tptp.rinvS @t1 @t6))
% 0.37/0.58  (define @t57 () (forall @t10 (=> @t56 @t55)))
% 0.37/0.58  (define @t58 () (tptp.ca_Vx6 @t1))
% 0.37/0.58  (define @t59 () (= @t58 @t57))
% 0.37/0.58  (define @t60 () (forall @t2 @t59))
% 0.37/0.58  (define @t61 () (tptp.ca_Vx6 @t6))
% 0.37/0.58  (define @t62 () (tptp.rinvP @t1 @t6))
% 0.37/0.58  (define @t63 () (forall @t10 (=> @t62 @t61)))
% 0.37/0.58  (define @t64 () (tptp.ca_Vx7 @t1))
% 0.37/0.58  (define @t65 () (= @t64 @t63))
% 0.37/0.58  (define @t66 () (forall @t2 @t65))
% 0.37/0.58  (define @t67 () (@list @t1 @t6))
% 0.37/0.58  (define @t68 () (forall @t67 (= @t62 (tptp.rp @t6 @t1))))
% 0.37/0.58  (define @t69 () (forall @t67 (= @t27 (tptp.rr @t6 @t1))))
% 0.37/0.58  (define @t70 () (forall @t67 (= @t56 (tptp.rs @t6 @t1))))
% 0.37/0.58  (define @t71 () (@var "Z" $$unsorted))
% 0.37/0.58  (define @t72 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_33997))
% 0.37/0.58  (define @t73 () (not @t7))
% 0.37/0.58  (define @t74 () (forall @t10 (or (not (tptp.rs tptp.i2003_11_14_17_21_33997 @t6)) @t73)))
% 0.37/0.58  (define @t75 () (@quantifiers_skolemize @t74 0))
% 0.37/0.58  (define @t76 () (@list @t75))
% 0.37/0.58  (define @t77 () (not @t35))
% 0.37/0.58  (define @t78 () (not (tptp.rp @t75 @t6)))
% 0.37/0.58  (define @t79 () (forall @t10 (or @t78 @t77)))
% 0.37/0.58  (define @t80 () (@quantifiers_skolemize @t79 0))
% 0.37/0.58  (define @t81 () (@list @t80))
% 0.37/0.58  (define @t82 () (not (tptp.rr @t80 @t6)))
% 0.37/0.58  (define @t83 () (forall @t10 (or @t82 @t77)))
% 0.37/0.58  (define @t84 () (@quantifiers_skolemize @t83 0))
% 0.37/0.58  (define @t85 () (@list @t84))
% 0.37/0.58  (define @t86 () (not @t38))
% 0.37/0.58  (define @t87 () (forall @t10 (not @t36)))
% 0.37/0.58  (define @t88 () (not @t87))
% 0.37/0.58  (define @t89 () (forall @t10 (not @t39)))
% 0.37/0.58  (define @t90 () (not @t89))
% 0.37/0.58  (define @t91 () (not (forall @t10 (or (not @t8) @t73))))
% 0.37/0.58  (define @t92 () (forall @t10 (not @t9)))
% 0.37/0.58  (define @t93 () (not @t92))
% 0.37/0.58  (define @t94 () (@list tptp.i2003_11_14_17_21_33997))
% 0.37/0.58  (define @t95 () (not @t74))
% 0.37/0.58  (define @t96 () (not @t72))
% 0.37/0.58  (define @t97 () (or @t96 @t95))
% 0.37/0.58  (define @t98 () (@list false false))
% 0.37/0.58  (define @t99 () (tptp.ca_Ax2 @t75))
% 0.37/0.58  (define @t100 () (not @t99))
% 0.37/0.58  (define @t101 () (tptp.rs tptp.i2003_11_14_17_21_33997 @t75))
% 0.37/0.58  (define @t102 () (not @t101))
% 0.37/0.58  (define @t103 () (or @t102 @t100))
% 0.37/0.58  (define @t104 () (@list true))
% 0.37/0.58  (define @t105 () (@list @t103))
% 0.37/0.58  (define @t106 () (not @t79))
% 0.37/0.58  (define @t107 () (not (tptp.rr @t75 @t6)))
% 0.37/0.58  (define @t108 () (forall @t10 (or @t78 @t43)))
% 0.37/0.58  (define @t109 () (forall @t10 (or @t78 @t45)))
% 0.37/0.58  (define @t110 () (and @t109 @t108 (forall @t10 (or @t107 @t41)) (not (forall @t10 (or @t107 @t77))) @t106 (forall @t10 (or @t78 @t32))))
% 0.37/0.58  (define @t111 () (= @t99 @t110))
% 0.37/0.58  (define @t112 () (not @t110))
% 0.37/0.58  (define @t113 () (@list false))
% 0.37/0.58  (define @t114 () (@list @t110))
% 0.37/0.58  (define @t115 () (tptp.rp @t75 @t80))
% 0.37/0.58  (define @t116 () (not @t115))
% 0.37/0.58  (define @t117 () (or @t116 (not (tptp.cowlThing @t80))))
% 0.37/0.58  (define @t118 () (tptp.ca_Vx5 @t80))
% 0.37/0.58  (define @t119 () (or @t116 @t118))
% 0.37/0.58  (define @t120 () (forall @t10 (or @t82 @t41)))
% 0.37/0.58  (define @t121 () (= @t118 @t120))
% 0.37/0.58  (define @t122 () (tptp.ca_Vx3 @t80))
% 0.37/0.58  (define @t123 () (or @t116 @t122))
% 0.37/0.58  (define @t124 () (not @t83))
% 0.37/0.58  (define @t125 () (= @t122 @t124))
% 0.37/0.58  (define @t126 () (tptp.rr @t80 @t84))
% 0.37/0.58  (define @t127 () (not @t126))
% 0.37/0.58  (define @t128 () (or @t127 (not (tptp.cowlThing @t84))))
% 0.37/0.58  (define @t129 () (tptp.cc @t84))
% 0.37/0.58  (define @t130 () (or @t127 @t129))
% 0.37/0.58  (define @t131 () (forall @t10 (or (not (tptp.rinvR @t84 @t6)) @t26)))
% 0.37/0.58  (define @t132 () (= @t129 @t131))
% 0.37/0.58  (define @t133 () (tptp.rinvR @t84 @t80))
% 0.37/0.58  (define @t134 () (= @t133 @t126))
% 0.37/0.58  (define @t135 () (= @t126 @t133))
% 0.37/0.58  (define @t136 () (tptp.ca_Vx7 @t80))
% 0.37/0.58  (define @t137 () (not @t133))
% 0.37/0.58  (define @t138 () (or @t137 @t136))
% 0.37/0.58  (define @t139 () (forall @t10 (or (not (tptp.rinvP @t80 @t6)) @t61)))
% 0.37/0.58  (define @t140 () (= @t136 @t139))
% 0.37/0.58  (define @t141 () (tptp.rinvP @t80 @t75))
% 0.37/0.58  (define @t142 () (= @t141 @t115))
% 0.37/0.58  (define @t143 () (= @t115 @t141))
% 0.37/0.58  (define @t144 () (tptp.ca_Vx6 @t75))
% 0.37/0.58  (define @t145 () (not @t141))
% 0.37/0.58  (define @t146 () (or @t145 @t144))
% 0.37/0.58  (define @t147 () (forall @t10 (or (not (tptp.rinvS @t75 @t6)) @t55)))
% 0.37/0.58  (define @t148 () (= @t144 @t147))
% 0.37/0.58  (define @t149 () (tptp.rinvS @t75 tptp.i2003_11_14_17_21_33997))
% 0.37/0.58  (define @t150 () (= @t149 @t101))
% 0.37/0.58  (define @t151 () (= @t101 @t149))
% 0.37/0.58  (define @t152 () (tptp.caxcomp tptp.i2003_11_14_17_21_33997))
% 0.37/0.58  (define @t153 () (not @t149))
% 0.37/0.58  (define @t154 () (or @t153 @t152))
% 0.37/0.58  (define @t155 () (forall @t10 (not @t14)))
% 0.37/0.58  (define @t156 () (tptp.ca tptp.i2003_11_14_17_21_33997))
% 0.37/0.58  (define @t157 () (or @t96 @t156))
% 0.37/0.58  (define @t158 () (forall @t10 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_33997 @t6))))
% 0.37/0.58  (define @t159 () (= @t156 @t158))
% 0.37/0.58  (define @t160 () (forall @t21 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_33997 @t19))))
% 0.37/0.58  (define @t161 () (not @t160))
% 0.37/0.58  (define @t162 () (= @t152 @t161))
% 0.37/0.58  (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1)))))
% 0.37/0.58  (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1)))))
% 0.37/0.58  (assume @p3 @t5)
% 0.37/0.58  (assume @p4 @t13)
% 0.37/0.58  (assume @p5 @t18)
% 0.37/0.58  (assume @p6 @t25)
% 0.37/0.58  (assume @p7 @t31)
% 0.37/0.58  (assume @p8 @t50)
% 0.37/0.58  (assume @p9 @t52)
% 0.37/0.58  (assume @p10 (forall @t2 (= (tptp.ca_Vx4 @t1) @t37)))
% 0.37/0.58  (assume @p11 @t54)
% 0.37/0.58  (assume @p12 @t60)
% 0.37/0.58  (assume @p13 @t66)
% 0.37/0.58  (assume @p14 @t68)
% 0.37/0.58  (assume @p15 @t69)
% 0.37/0.58  (assume @p16 @t70)
% 0.37/0.58  (assume @p17 (forall (@list @t1 @t6 @t71) (=> (and @t33 (tptp.rp @t6 @t71)) (tptp.rp @t1 @t71))))
% 0.37/0.58  (assume @p18 @t72)
% 0.37/0.58  (step @p19 :rule bool-impl-elim :args (@t56 @t55))
% 0.37/0.58  (step @p20 :rule cong :premises (@p19) :args (@t57))
% 0.37/0.58  (step @p21 :rule refl :args (@t58))
% 0.37/0.58  (step @p22 :rule cong :premises (@p21 @p20) :args (@t59))
% 0.37/0.58  (step @p23 :rule cong :premises (@p22) :args (@t60))
% 0.37/0.58  (step @p24 :rule eq_resolve :premises (@p12 @p23))
% 0.37/0.58  (step @p25 :rule instantiate :premises (@p24) :args (@t76))
% 0.37/0.58  (step @p26 :rule bool-impl-elim :args (@t62 @t61))
% 0.37/0.58  (step @p27 :rule cong :premises (@p26) :args (@t63))
% 0.37/0.58  (step @p28 :rule refl :args (@t64))
% 0.37/0.58  (step @p29 :rule cong :premises (@p28 @p27) :args (@t65))
% 0.37/0.58  (step @p30 :rule cong :premises (@p29) :args (@t66))
% 0.37/0.58  (step @p31 :rule eq_resolve :premises (@p13 @p30))
% 0.37/0.58  (step @p32 :rule instantiate :premises (@p31) :args (@t81))
% 0.37/0.58  (step @p33 :rule bool-impl-elim :args (@t27 @t26))
% 0.37/0.58  (step @p34 :rule cong :premises (@p33) :args (@t28))
% 0.37/0.58  (step @p35 :rule refl :args (@t29))
% 0.37/0.58  (step @p36 :rule cong :premises (@p35 @p34) :args (@t30))
% 0.37/0.58  (step @p37 :rule cong :premises (@p36) :args (@t31))
% 0.37/0.58  (step @p38 :rule eq_resolve :premises (@p7 @p37))
% 0.37/0.58  (step @p39 :rule instantiate :premises (@p38) :args (@t85))
% 0.37/0.58  (step @p40 :rule eq-symm :args ((forall @t10 (or @t86 @t41)) @t53))
% 0.37/0.58  (step @p41 :rule refl :args (@t53))
% 0.37/0.58  (step @p42 :rule bool-impl-elim :args (@t38 @t41))
% 0.37/0.58  (step @p43 :rule cong :premises (@p42) :args (@t42))
% 0.37/0.58  (step @p44 :rule cong :premises (@p43 @p41) :args ((= @t42 @t53)))
% 0.37/0.58  (step @p45 :rule trans :premises (@p44 @p40))
% 0.37/0.58  (step @p46 :rule eq-symm :args (@t53 @t42))
% 0.37/0.58  (step @p47 :rule trans :premises (@p46 @p45))
% 0.37/0.58  (step @p48 :rule cong :premises (@p47) :args (@t54))
% 0.37/0.58  (step @p49 :rule eq_resolve :premises (@p11 @p48))
% 0.37/0.58  (step @p50 :rule instantiate :premises (@p49) :args (@t81))
% 0.37/0.58  (step @p51 :rule bool-impl-elim :args (@t33 @t32))
% 0.37/0.58  (step @p52 :rule cong :premises (@p51) :args (@t34))
% 0.37/0.58  (step @p53 :rule bool-and-de-morgan :args (@t33 @t35 true))
% 0.37/0.58  (step @p54 :rule cong :premises (@p53) :args (@t87))
% 0.37/0.58  (step @p55 :rule cong :premises (@p54) :args (@t88))
% 0.37/0.58  (step @p56 :rule exists-elim :args ((= @t37 @t88)))
% 0.37/0.58  (step @p57 :rule trans :premises (@p56 @p55))
% 0.37/0.58  (step @p58 :rule bool-and-de-morgan :args (@t38 @t35 true))
% 0.37/0.59  (step @p59 :rule cong :premises (@p58) :args (@t89))
% 0.37/0.59  (step @p60 :rule cong :premises (@p59) :args (@t90))
% 0.37/0.59  (step @p61 :rule exists-elim :args ((= @t40 @t90)))
% 0.37/0.59  (step @p62 :rule trans :premises (@p61 @p60))
% 0.37/0.59  (step @p63 :rule bool-impl-elim :args (@t33 @t43))
% 0.37/0.59  (step @p64 :rule cong :premises (@p63) :args (@t44))
% 0.37/0.59  (step @p65 :rule bool-impl-elim :args (@t33 @t45))
% 0.37/0.59  (step @p66 :rule cong :premises (@p65) :args (@t46))
% 0.37/0.59  (step @p67 :rule nary_cong :premises (@p66 @p64 @p43 @p62 @p57 @p52) :args (@t47))
% 0.37/0.59  (step @p68 :rule refl :args (@t48))
% 0.37/0.59  (step @p69 :rule cong :premises (@p68 @p67) :args (@t49))
% 0.37/0.59  (step @p70 :rule cong :premises (@p69) :args (@t50))
% 0.37/0.59  (step @p71 :rule eq_resolve :premises (@p8 @p70))
% 0.37/0.59  (step @p72 :rule instantiate :premises (@p71) :args (@t76))
% 0.37/0.59  (step @p73 :rule bool-impl-elim :args (@t4 @t91))
% 0.37/0.59  (step @p74 :rule cong :premises (@p73) :args ((forall @t2 (=> @t4 @t91))))
% 0.37/0.59  (step @p75 :rule bool-and-de-morgan :args (@t8 @t7 true))
% 0.37/0.59  (step @p76 :rule cong :premises (@p75) :args (@t92))
% 0.37/0.59  (step @p77 :rule cong :premises (@p76) :args (@t93))
% 0.37/0.59  (step @p78 :rule exists-elim :args ((= @t11 @t93)))
% 0.37/0.59  (step @p79 :rule trans :premises (@p78 @p77))
% 0.37/0.59  (step @p80 :rule refl :args (@t4))
% 0.37/0.59  (step @p81 :rule cong :premises (@p80 @p79) :args (@t12))
% 0.37/0.59  (step @p82 :rule cong :premises (@p81) :args (@t13))
% 0.37/0.59  (step @p83 :rule trans :premises (@p82 @p74))
% 0.37/0.59  (step @p84 :rule eq_resolve :premises (@p4 @p83))
% 0.37/0.59  (step @p85 :rule instantiate :premises (@p84) :args (@t94))
% 0.37/0.59  (step @p86 :rule cnf_or_pos :args (@t97))
% 0.37/0.59  (step @p87 :rule reordering :premises (@p86) :args ((or @t96 @t95 (not @t97))))
% 0.37/0.59  (step @p88 :rule chain_m_resolution :premises (@p87 @p18 @p85) :args (@t95 @t98 (@list @t72 @t97)))
% 0.37/0.59  (step @p89 :rule skolemize :premises (@p88))
% 0.37/0.59  (step @p90 :rule bool-double-not-elim :args (@t99))
% 0.37/0.59  (step @p91 :rule refl :args (@t103))
% 0.37/0.59  (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t103 (not @t100))))
% 0.37/0.59  (step @p93 :rule cnf_or_neg :args (@t103 1))
% 0.37/0.59  (step @p94 :rule eq_resolve :premises (@p93 @p92))
% 0.37/0.59  (step @p95 :rule reordering :premises (@p94) :args ((or @t99 @t103)))
% 0.37/0.59  (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t99 @t104 @t105))
% 0.37/0.59  (step @p97 :rule cnf_equiv_pos1 :args (@t111))
% 0.37/0.59  (step @p98 :rule reordering :premises (@p97) :args ((or @t100 @t110 (not @t111))))
% 0.37/0.59  (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p72) :args (@t110 @t98 (@list @t99 @t111)))
% 0.37/0.59  (step @p100 :rule cnf_and_pos :args (@t110 1))
% 0.37/0.59  (step @p101 :rule reordering :premises (@p100) :args ((or @t108 @t112)))
% 0.37/0.59  (step @p102 :rule chain_m_resolution :premises (@p101 @p99) :args (@t108 @t113 @t114))
% 0.37/0.59  (step @p103 :rule instantiate :premises (@p102) :args (@t81))
% 0.37/0.59  (step @p104 :rule cnf_and_pos :args (@t110 4))
% 0.37/0.59  (step @p105 :rule reordering :premises (@p104) :args ((or @t106 @t112)))
% 0.37/0.59  (step @p106 :rule chain_m_resolution :premises (@p105 @p99) :args (@t106 @t113 @t114))
% 0.37/0.59  (step @p107 :rule skolemize :premises (@p106))
% 0.37/0.59  (step @p108 :rule bool-double-not-elim :args (@t115))
% 0.37/0.59  (step @p109 :rule refl :args (@t117))
% 0.37/0.59  (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t117 (not @t116))))
% 0.37/0.59  (step @p111 :rule cnf_or_neg :args (@t117 0))
% 0.37/0.59  (step @p112 :rule eq_resolve :premises (@p111 @p110))
% 0.37/0.59  (step @p113 :rule reordering :premises (@p112) :args ((or @t115 @t117)))
% 0.37/0.59  (step @p114 :rule chain_m_resolution :premises (@p113 @p107) :args (@t115 @t104 (@list @t117)))
% 0.37/0.59  (step @p115 :rule cnf_or_pos :args (@t119))
% 0.37/0.59  (step @p116 :rule reordering :premises (@p115) :args ((or @t116 @t118 (not @t119))))
% 0.37/0.59  (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p103) :args (@t118 @t98 (@list @t115 @t119)))
% 0.37/0.59  (step @p118 :rule cnf_equiv_pos1 :args (@t121))
% 0.37/0.59  (step @p119 :rule reordering :premises (@p118) :args ((or (not @t118) @t120 (not @t121))))
% 0.37/0.59  (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p50) :args (@t120 @t98 (@list @t118 @t121)))
% 0.37/0.59  (step @p121 :rule instantiate :premises (@p120) :args (@t85))
% 0.37/0.59  (step @p122 :rule eq-symm :args ((not (forall @t10 (or @t86 @t77))) @t51))
% 0.37/0.59  (step @p123 :rule refl :args (@t51))
% 0.37/0.59  (step @p124 :rule cong :premises (@p62 @p123) :args ((= @t40 @t51)))
% 0.37/0.59  (step @p125 :rule trans :premises (@p124 @p122))
% 0.37/0.59  (step @p126 :rule eq-symm :args (@t51 @t40))
% 0.37/0.59  (step @p127 :rule trans :premises (@p126 @p125))
% 0.37/0.59  (step @p128 :rule cong :premises (@p127) :args (@t52))
% 0.37/0.59  (step @p129 :rule eq_resolve :premises (@p9 @p128))
% 0.37/0.59  (step @p130 :rule instantiate :premises (@p129) :args (@t81))
% 0.37/0.59  (step @p131 :rule cnf_and_pos :args (@t110 0))
% 0.37/0.59  (step @p132 :rule reordering :premises (@p131) :args ((or @t109 @t112)))
% 0.37/0.59  (step @p133 :rule chain_m_resolution :premises (@p132 @p99) :args (@t109 @t113 @t114))
% 0.37/0.59  (step @p134 :rule instantiate :premises (@p133) :args (@t81))
% 0.37/0.59  (step @p135 :rule cnf_or_pos :args (@t123))
% 0.37/0.59  (step @p136 :rule reordering :premises (@p135) :args ((or @t116 @t122 (not @t123))))
% 0.37/0.59  (step @p137 :rule chain_m_resolution :premises (@p136 @p114 @p134) :args (@t122 @t98 (@list @t115 @t123)))
% 0.37/0.59  (step @p138 :rule cnf_equiv_pos1 :args (@t125))
% 0.37/0.59  (step @p139 :rule reordering :premises (@p138) :args ((or (not @t122) @t124 (not @t125))))
% 0.37/0.59  (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p130) :args (@t124 @t98 (@list @t122 @t125)))
% 0.37/0.59  (step @p141 :rule skolemize :premises (@p140))
% 0.37/0.59  (step @p142 :rule bool-double-not-elim :args (@t126))
% 0.37/0.59  (step @p143 :rule refl :args (@t128))
% 0.37/0.59  (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t128 (not @t127))))
% 0.37/0.59  (step @p145 :rule cnf_or_neg :args (@t128 0))
% 0.37/0.59  (step @p146 :rule eq_resolve :premises (@p145 @p144))
% 0.37/0.59  (step @p147 :rule reordering :premises (@p146) :args ((or @t126 @t128)))
% 0.37/0.59  (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t126 @t104 (@list @t128)))
% 0.37/0.59  (step @p149 :rule cnf_or_pos :args (@t130))
% 0.37/0.59  (step @p150 :rule reordering :premises (@p149) :args ((or @t127 @t129 (not @t130))))
% 0.37/0.59  (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p121) :args (@t129 @t98 (@list @t126 @t130)))
% 0.37/0.59  (step @p152 :rule cnf_equiv_pos1 :args (@t132))
% 0.37/0.59  (step @p153 :rule reordering :premises (@p152) :args ((or (not @t129) @t131 (not @t132))))
% 0.37/0.59  (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p39) :args (@t131 @t98 (@list @t129 @t132)))
% 0.37/0.59  (step @p155 :rule instantiate :premises (@p154) :args (@t81))
% 0.37/0.59  (step @p156 :rule eq-symm :args (@t133 @t126))
% 0.37/0.59  (step @p157 :rule refl :args (@t69))
% 0.37/0.59  (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t69 @t134)))
% 0.37/0.59  (assume-push @p249 @t69)
% 0.37/0.59  (step @p160 :rule instantiate :premises (@p15) :args ((@list @t84 @t80)))
% 0.37/0.59  (step-pop @p250 :rule scope :premises (@p160))
% 0.37/0.59  (step @p161 :rule process_scope :premises (@p250) :args (@t134))
% 0.37/0.59  (step @p163 :rule eq_resolve :premises (@p161 @p158))
% 0.37/0.59  (step @p164 :rule implies_elim :premises (@p163))
% 0.37/0.59  (step @p165 :rule chain_m_resolution :premises (@p164 @p15) :args (@t135 @t113 (@list @t69)))
% 0.37/0.59  (step @p166 :rule cnf_equiv_pos1 :args (@t135))
% 0.37/0.59  (step @p167 :rule reordering :premises (@p166) :args ((or @t127 @t133 (not @t135))))
% 0.37/0.59  (step @p168 :rule chain_m_resolution :premises (@p167 @p148 @p165) :args (@t133 @t98 (@list @t126 @t135)))
% 0.37/0.59  (step @p169 :rule cnf_or_pos :args (@t138))
% 0.37/0.59  (step @p170 :rule reordering :premises (@p169) :args ((or @t137 @t136 (not @t138))))
% 0.37/0.59  (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p155) :args (@t136 @t98 (@list @t133 @t138)))
% 0.37/0.59  (step @p172 :rule cnf_equiv_pos1 :args (@t140))
% 0.37/0.59  (step @p173 :rule reordering :premises (@p172) :args ((or (not @t136) @t139 (not @t140))))
% 0.37/0.59  (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p32) :args (@t139 @t98 (@list @t136 @t140)))
% 0.37/0.59  (step @p175 :rule instantiate :premises (@p174) :args (@t76))
% 0.37/0.59  (step @p176 :rule eq-symm :args (@t141 @t115))
% 0.37/0.59  (step @p177 :rule refl :args (@t68))
% 0.37/0.59  (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t68 @t142)))
% 0.37/0.59  (assume-push @p251 @t68)
% 0.37/0.59  (step @p180 :rule instantiate :premises (@p14) :args ((@list @t80 @t75)))
% 0.37/0.59  (step-pop @p252 :rule scope :premises (@p180))
% 0.37/0.59  (step @p181 :rule process_scope :premises (@p252) :args (@t142))
% 0.37/0.59  (step @p183 :rule eq_resolve :premises (@p181 @p178))
% 0.37/0.59  (step @p184 :rule implies_elim :premises (@p183))
% 0.37/0.59  (step @p185 :rule chain_m_resolution :premises (@p184 @p14) :args (@t143 @t113 (@list @t68)))
% 0.37/0.59  (step @p186 :rule cnf_equiv_pos1 :args (@t143))
% 0.37/0.59  (step @p187 :rule reordering :premises (@p186) :args ((or @t116 @t141 (not @t143))))
% 0.37/0.59  (step @p188 :rule chain_m_resolution :premises (@p187 @p114 @p185) :args (@t141 @t98 (@list @t115 @t143)))
% 0.37/0.59  (step @p189 :rule cnf_or_pos :args (@t146))
% 0.37/0.59  (step @p190 :rule reordering :premises (@p189) :args ((or @t145 @t144 (not @t146))))
% 0.37/0.59  (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p175) :args (@t144 @t98 (@list @t141 @t146)))
% 0.37/0.59  (step @p192 :rule cnf_equiv_pos1 :args (@t148))
% 0.37/0.59  (step @p193 :rule reordering :premises (@p192) :args ((or (not @t144) @t147 (not @t148))))
% 0.37/0.59  (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p25) :args (@t147 @t98 (@list @t144 @t148)))
% 0.37/0.59  (step @p195 :rule instantiate :premises (@p194) :args (@t94))
% 0.37/0.59  (step @p196 :rule eq-symm :args (@t149 @t101))
% 0.37/0.59  (step @p197 :rule refl :args (@t70))
% 0.37/0.59  (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t70 @t150)))
% 0.37/0.59  (assume-push @p253 @t70)
% 0.37/0.59  (step @p200 :rule instantiate :premises (@p16) :args ((@list @t75 tptp.i2003_11_14_17_21_33997)))
% 0.37/0.59  (step-pop @p254 :rule scope :premises (@p200))
% 0.37/0.59  (step @p201 :rule process_scope :premises (@p254) :args (@t150))
% 0.37/0.59  (step @p203 :rule eq_resolve :premises (@p201 @p198))
% 0.37/0.59  (step @p204 :rule implies_elim :premises (@p203))
% 0.37/0.59  (step @p205 :rule chain_m_resolution :premises (@p204 @p16) :args (@t151 @t113 (@list @t70)))
% 0.37/0.59  (step @p206 :rule bool-double-not-elim :args (@t101))
% 0.37/0.59  (step @p207 :rule nary_cong :premises (@p91 @p206) :args ((or @t103 (not @t102))))
% 0.37/0.59  (step @p208 :rule cnf_or_neg :args (@t103 0))
% 0.37/0.59  (step @p209 :rule eq_resolve :premises (@p208 @p207))
% 0.37/0.59  (step @p210 :rule reordering :premises (@p209) :args ((or @t101 @t103)))
% 0.37/0.59  (step @p211 :rule chain_m_resolution :premises (@p210 @p89) :args (@t101 @t104 @t105))
% 0.37/0.59  (step @p212 :rule cnf_equiv_pos1 :args (@t151))
% 0.37/0.59  (step @p213 :rule reordering :premises (@p212) :args ((or @t102 @t149 (not @t151))))
% 0.37/0.59  (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p205) :args (@t149 @t98 (@list @t101 @t151)))
% 0.37/0.59  (step @p215 :rule cnf_or_pos :args (@t154))
% 0.37/0.59  (step @p216 :rule reordering :premises (@p215) :args ((or @t153 @t152 (not @t154))))
% 0.37/0.59  (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p195) :args (@t152 @t98 (@list @t149 @t154)))
% 0.37/0.59  (step @p218 :rule bool-double-not-elim :args (@t155))
% 0.37/0.59  (step @p219 :rule exists-elim :args ((= @t15 (not @t155))))
% 0.37/0.59  (step @p220 :rule cong :premises (@p219) :args (@t16))
% 0.37/0.59  (step @p221 :rule trans :premises (@p220 @p218))
% 0.37/0.59  (step @p222 :rule refl :args (@t3))
% 0.37/0.59  (step @p223 :rule cong :premises (@p222 @p221) :args (@t17))
% 0.37/0.59  (step @p224 :rule cong :premises (@p223) :args (@t18))
% 0.37/0.59  (step @p225 :rule eq_resolve :premises (@p5 @p224))
% 0.37/0.59  (step @p226 :rule instantiate :premises (@p225) :args (@t94))
% 0.37/0.59  (step @p227 :rule bool-impl-elim :args (@t4 @t3))
% 0.37/0.59  (step @p228 :rule cong :premises (@p227) :args (@t5))
% 0.37/0.59  (step @p229 :rule eq_resolve :premises (@p3 @p228))
% 0.37/0.59  (step @p230 :rule instantiate :premises (@p229) :args (@t94))
% 0.37/0.59  (step @p231 :rule cnf_or_pos :args (@t157))
% 0.37/0.59  (step @p232 :rule reordering :premises (@p231) :args ((or @t96 @t156 (not @t157))))
% 0.37/0.59  (step @p233 :rule chain_m_resolution :premises (@p232 @p18 @p230) :args (@t156 @t98 (@list @t72 @t157)))
% 0.37/0.59  (step @p234 :rule cnf_equiv_pos1 :args (@t159))
% 0.37/0.59  (step @p235 :rule reordering :premises (@p234) :args ((or (not @t156) @t158 (not @t159))))
% 0.37/0.59  (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p226) :args (@t158 @t98 (@list @t156 @t159)))
% 0.37/0.59  (step @p237 :rule alpha_equiv :args (@t158 (@list @t6) (@list @t19)))
% 0.37/0.59  (step @p238 :rule equiv_elim1 :premises (@p237))
% 0.37/0.59  (step @p239 :rule chain_m_resolution :premises (@p238 @p236) :args (@t160 @t113 (@list @t158)))
% 0.37/0.59  (step @p240 :rule exists-elim :args ((= @t22 (not (forall @t21 (not @t20))))))
% 0.37/0.59  (step @p241 :rule refl :args (@t23))
% 0.37/0.59  (step @p242 :rule cong :premises (@p241 @p240) :args (@t24))
% 0.37/0.59  (step @p243 :rule cong :premises (@p242) :args (@t25))
% 0.37/0.59  (step @p244 :rule eq_resolve :premises (@p6 @p243))
% 0.37/0.59  (step @p245 :rule instantiate :premises (@p244) :args (@t94))
% 0.37/0.59  (step @p246 :rule cnf_equiv_pos1 :args (@t162))
% 0.37/0.59  (step @p247 :rule reordering :premises (@p246) :args ((or (not @t152) @t161 (not @t162))))
% 0.37/0.59  (step @p248 false :rule chain_m_resolution :premises (@p247 @p245 @p239 @p217) :args (false (@list false false false) (@list @t162 @t160 @t152)))
% 0.37/0.59  )
% 0.37/0.59  % SZS output end Proof
% 0.37/0.59  % cvc5 exiting
%------------------------------------------------------------------------------