↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KLE128+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:28:20 AM UTC 2026

% Result   : Theorem 0.35s 0.84s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE128+1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n010.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 05:17:55 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.26/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.84  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.84  % SZS status Theorem
% 0.35/0.84  % SZS output start Proof
% 0.35/0.84  (
% 0.35/0.84  (declare-sort $$unsorted 0)
% 0.35/0.84  (declare-const tptp.divergence (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.zero $$unsorted)
% 0.35/0.84  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.35/0.84  (declare-const tptp.codomain (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.star (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.one $$unsorted)
% 0.35/0.84  (declare-const tptp.antidomain (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.domain (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.c (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.coantidomain (-> $$unsorted $$unsorted))
% 0.35/0.84  (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.84  (define @t1 () (@var "A" $$unsorted))
% 0.35/0.84  (define @t2 () (@var "B" $$unsorted))
% 0.35/0.84  (define @t3 () (tptp.addition @t1 @t2))
% 0.35/0.84  (define @t4 () (@list @t1 @t2))
% 0.35/0.84  (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1))))
% 0.35/0.84  (define @t6 () (@var "C" $$unsorted))
% 0.35/0.84  (define @t7 () (tptp.addition @t2 @t6))
% 0.35/0.84  (define @t8 () (tptp.addition @t1 tptp.zero))
% 0.35/0.84  (define @t9 () (@list @t1))
% 0.35/0.84  (define @t10 () (forall @t9 (= @t8 @t1)))
% 0.35/0.84  (define @t11 () (tptp.multiplication @t1 @t2))
% 0.35/0.84  (define @t12 () (tptp.multiplication @t2 @t6))
% 0.35/0.84  (define @t13 () (@list @t1 @t2 @t6))
% 0.35/0.84  (define @t14 () (tptp.multiplication @t1 @t6))
% 0.35/0.84  (define @t15 () (tptp.multiplication @t1 tptp.zero))
% 0.35/0.84  (define @t16 () (forall @t9 (= @t15 tptp.zero)))
% 0.35/0.84  (define @t17 () (@var "X0" $$unsorted))
% 0.35/0.84  (define @t18 () (tptp.antidomain @t17))
% 0.35/0.84  (define @t19 () (tptp.multiplication @t18 @t17))
% 0.35/0.84  (define @t20 () (@list @t17))
% 0.35/0.84  (define @t21 () (forall @t20 (= @t19 tptp.zero)))
% 0.35/0.84  (define @t22 () (@var "X1" $$unsorted))
% 0.35/0.84  (define @t23 () (tptp.antidomain @t22))
% 0.35/0.84  (define @t24 () (tptp.antidomain (tptp.multiplication @t17 (tptp.antidomain @t23))))
% 0.35/0.84  (define @t25 () (tptp.multiplication @t17 @t22))
% 0.35/0.84  (define @t26 () (tptp.addition (tptp.antidomain @t25) @t24))
% 0.35/0.84  (define @t27 () (@list @t17 @t22))
% 0.35/0.84  (define @t28 () (forall @t27 (= @t26 @t24)))
% 0.35/0.84  (define @t29 () (tptp.antidomain @t18))
% 0.35/0.84  (define @t30 () (tptp.addition @t29 @t18))
% 0.35/0.84  (define @t31 () (forall @t20 (= @t30 tptp.one)))
% 0.35/0.84  (define @t32 () (tptp.domain @t17))
% 0.35/0.84  (define @t33 () (forall @t20 (= @t32 @t29)))
% 0.35/0.84  (define @t34 () (tptp.coantidomain @t17))
% 0.35/0.84  (define @t35 () (tptp.coantidomain @t34))
% 0.35/0.84  (define @t36 () (tptp.coantidomain (tptp.multiplication @t35 @t22)))
% 0.35/0.84  (define @t37 () (tptp.domain @t22))
% 0.35/0.84  (define @t38 () (tptp.c @t22))
% 0.35/0.84  (define @t39 () (tptp.divergence @t17))
% 0.35/0.84  (define @t40 () (tptp.forward_diamond @t17 @t39))
% 0.35/0.84  (define @t41 () (forall @t20 (= @t40 @t39)))
% 0.35/0.84  (define @t42 () (@var "X2" $$unsorted))
% 0.35/0.84  (define @t43 () (tptp.domain @t42))
% 0.35/0.84  (define @t44 () (tptp.addition (tptp.divergence @t22) (tptp.forward_diamond (tptp.star @t22) @t43)))
% 0.35/0.84  (define @t45 () (tptp.addition @t32 @t44))
% 0.35/0.84  (define @t46 () (tptp.addition (tptp.forward_diamond @t22 @t32) @t43))
% 0.35/0.84  (define @t47 () (tptp.addition @t32 @t46))
% 0.35/0.84  (define @t48 () (=> (= @t47 @t46) (= @t45 @t44)))
% 0.35/0.84  (define @t49 () (@list @t17 @t22 @t42))
% 0.35/0.84  (define @t50 () (forall @t49 @t48))
% 0.35/0.84  (define @t51 () (tptp.forward_diamond @t17 @t37))
% 0.35/0.84  (define @t52 () (tptp.addition @t37 @t51))
% 0.35/0.84  (define @t53 () (=> (= @t52 @t51) (= @t37 tptp.zero)))
% 0.35/0.84  (define @t54 () (@list @t22))
% 0.35/0.84  (define @t55 () (forall @t54 @t53))
% 0.35/0.84  (define @t56 () (=> (= @t39 tptp.zero) @t55))
% 0.35/0.84  (define @t57 () (forall @t20 @t56))
% 0.35/0.84  (define @t58 () (not @t57))
% 0.35/0.84  (define @t59 () (= @t46 @t47))
% 0.35/0.84  (define @t60 () (= @t44 @t45))
% 0.35/0.84  (define @t61 () (@var "BOUND_VARIABLE_7652" $$unsorted))
% 0.35/0.84  (define @t62 () (tptp.domain @t61))
% 0.35/0.84  (define @t63 () (= tptp.zero @t62))
% 0.35/0.84  (define @t64 () (tptp.forward_diamond @t17 @t62))
% 0.35/0.84  (define @t65 () (not (= @t64 (tptp.addition @t62 @t64))))
% 0.35/0.84  (define @t66 () (= tptp.zero @t39))
% 0.35/0.84  (define @t67 () (not @t66))
% 0.35/0.84  (define @t68 () (or @t67 @t65 @t63))
% 0.35/0.84  (define @t69 () (@list @t17 @t61))
% 0.35/0.84  (define @t70 () (forall @t69 @t68))
% 0.35/0.84  (define @t71 () (@quantifiers_skolemize @t70 0))
% 0.35/0.84  (define @t72 () (tptp.divergence @t71))
% 0.35/0.84  (define @t73 () (@quantifiers_skolemize @t70 1))
% 0.35/0.84  (define @t74 () (@list @t71))
% 0.35/0.84  (define @t75 () (tptp.domain @t72))
% 0.35/0.84  (define @t76 () (tptp.multiplication @t71 @t75))
% 0.35/0.84  (define @t77 () (tptp.domain @t76))
% 0.35/0.84  (define @t78 () (tptp.antidomain @t77))
% 0.35/0.84  (define @t79 () (@list @t76))
% 0.35/0.84  (define @t80 () (tptp.antidomain @t76))
% 0.35/0.84  (define @t81 () (tptp.antidomain @t80))
% 0.35/0.84  (define @t82 () (tptp.antidomain @t81))
% 0.35/0.84  (define @t83 () (or @t65 @t63))
% 0.35/0.84  (define @t84 () (or @t67 @t83))
% 0.35/0.84  (define @t85 () (forall @t69 @t84))
% 0.35/0.84  (define @t86 () (@list @t61))
% 0.35/0.84  (define @t87 () (forall @t86 @t84))
% 0.35/0.84  (define @t88 () (forall @t86 @t83))
% 0.35/0.84  (define @t89 () (or @t67 @t88))
% 0.35/0.84  (define @t90 () (= tptp.zero @t37))
% 0.35/0.84  (define @t91 () (= @t51 @t52))
% 0.35/0.84  (define @t92 () (forall @t54 (or (not @t91) @t90)))
% 0.35/0.84  (define @t93 () (= tptp.zero @t72))
% 0.35/0.84  (define @t94 () (tptp.domain @t73))
% 0.35/0.84  (define @t95 () (= tptp.zero @t94))
% 0.35/0.84  (define @t96 () (tptp.forward_diamond @t71 @t94))
% 0.35/0.84  (define @t97 () (tptp.addition @t94 @t96))
% 0.35/0.84  (define @t98 () (= @t96 @t97))
% 0.35/0.84  (define @t99 () (not @t98))
% 0.35/0.84  (define @t100 () (not @t93))
% 0.35/0.84  (define @t101 () (or @t100 @t99 @t95))
% 0.35/0.84  (define @t102 () (@list true))
% 0.35/0.84  (define @t103 () (@list @t101))
% 0.35/0.84  (define @t104 () (tptp.antidomain @t78))
% 0.35/0.84  (define @t105 () (tptp.multiplication @t71 @t104))
% 0.35/0.84  (define @t106 () (tptp.antidomain @t105))
% 0.35/0.84  (define @t107 () (tptp.antidomain (tptp.multiplication @t71 @t77)))
% 0.35/0.84  (define @t108 () (tptp.addition @t107 @t106))
% 0.35/0.84  (define @t109 () (tptp.multiplication @t71 @t81))
% 0.35/0.84  (define @t110 () (tptp.antidomain @t73))
% 0.35/0.84  (define @t111 () (tptp.antidomain @t110))
% 0.35/0.84  (define @t112 () (tptp.antidomain @t111))
% 0.35/0.84  (define @t113 () (forall @t20 (= @t29 @t32)))
% 0.35/0.84  (define @t114 () (= @t111 @t94))
% 0.35/0.84  (define @t115 () (@list @t73))
% 0.35/0.84  (define @t116 () (@list false))
% 0.35/0.84  (define @t117 () (@list @t113))
% 0.35/0.84  (define @t118 () (tptp.addition @t94 @t112))
% 0.35/0.84  (define @t119 () (= @t81 @t77))
% 0.35/0.84  (define @t120 () (tptp.forward_diamond @t71 @t77))
% 0.35/0.84  (define @t121 () (tptp.addition @t111 @t112))
% 0.35/0.84  (define @t122 () (tptp.addition @t112 @t111))
% 0.35/0.84  (define @t123 () (= @t121 @t122))
% 0.35/0.84  (define @t124 () (@list @t5))
% 0.35/0.84  (define @t125 () (tptp.addition @t94 @t110))
% 0.35/0.84  (define @t126 () (tptp.addition @t72 @t94))
% 0.35/0.84  (define @t127 () (tptp.addition @t94 @t72))
% 0.35/0.84  (define @t128 () (= @t126 @t127))
% 0.35/0.84  (define @t129 () (@list @t94))
% 0.35/0.84  (define @t130 () (tptp.addition @t97 @t120))
% 0.35/0.84  (define @t131 () (tptp.addition @t120 @t97))
% 0.35/0.84  (define @t132 () (= @t130 @t131))
% 0.35/0.84  (define @t133 () (@list @t97 @t120))
% 0.35/0.84  (define @t134 () (tptp.star @t71))
% 0.35/0.84  (define @t135 () (tptp.domain @t94))
% 0.35/0.84  (define @t136 () (tptp.multiplication @t71 @t135))
% 0.35/0.84  (define @t137 () (tptp.antidomain @t136))
% 0.35/0.84  (define @t138 () (tptp.multiplication @t137 @t71))
% 0.35/0.84  (define @t139 () (tptp.antidomain (tptp.antidomain @t94)))
% 0.35/0.84  (define @t140 () (= @t139 @t135))
% 0.35/0.84  (define @t141 () (tptp.antidomain (tptp.multiplication @t71 @t139)))
% 0.35/0.84  (define @t142 () (tptp.forward_diamond @t134 @t77))
% 0.35/0.84  (define @t143 () (tptp.addition @t72 @t142))
% 0.35/0.84  (define @t144 () (tptp.antidomain (tptp.antidomain @t72)))
% 0.35/0.84  (define @t145 () (= @t144 @t75))
% 0.35/0.84  (define @t146 () (tptp.forward_diamond @t134 @t75))
% 0.35/0.84  (define @t147 () (tptp.addition @t72 @t146))
% 0.35/0.84  (define @t148 () (tptp.addition @t94 @t147))
% 0.35/0.84  (define @t149 () (tptp.domain @t77))
% 0.35/0.84  (define @t150 () (tptp.multiplication @t134 @t149))
% 0.35/0.84  (define @t151 () (tptp.domain @t150))
% 0.35/0.84  (define @t152 () (tptp.addition @t142 @t72))
% 0.35/0.84  (define @t153 () (= @t152 @t143))
% 0.35/0.84  (define @t154 () (= @t147 @t148))
% 0.35/0.84  (define @t155 () (tptp.addition @t96 @t75))
% 0.35/0.84  (define @t156 () (= @t155 (tptp.addition @t94 @t155)))
% 0.35/0.84  (define @t157 () (not @t156))
% 0.35/0.84  (define @t158 () (or @t157 @t154))
% 0.35/0.84  (assume @p1 @t5)
% 0.35/0.84  (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6))))
% 0.35/0.84  (assume @p3 @t10)
% 0.35/0.84  (assume @p4 (forall @t9 (= (tptp.addition @t1 @t1) @t1)))
% 0.35/0.84  (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6))))
% 0.35/0.84  (assume @p6 (forall @t9 (= (tptp.multiplication @t1 tptp.one) @t1)))
% 0.35/0.85  (assume @p7 (forall @t9 (= (tptp.multiplication tptp.one @t1) @t1)))
% 0.35/0.85  (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t14))))
% 0.35/0.85  (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t14 @t12))))
% 0.35/0.85  (assume @p10 @t16)
% 0.35/0.85  (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero)))
% 0.35/0.85  (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2))))
% 0.35/0.85  (assume @p13 @t21)
% 0.35/0.85  (assume @p14 @t28)
% 0.35/0.85  (assume @p15 @t31)
% 0.35/0.85  (assume @p16 @t33)
% 0.35/0.85  (assume @p17 (forall @t20 (= (tptp.multiplication @t17 @t34) tptp.zero)))
% 0.35/0.85  (assume @p18 (forall @t27 (= (tptp.addition (tptp.coantidomain @t25) @t36) @t36)))
% 0.35/0.85  (assume @p19 (forall @t20 (= (tptp.addition @t35 @t34) tptp.one)))
% 0.35/0.85  (assume @p20 (forall @t20 (= (tptp.codomain @t17) @t35)))
% 0.35/0.85  (assume @p21 (forall @t20 (= (tptp.c @t17) (tptp.antidomain @t32))))
% 0.35/0.85  (assume @p22 (forall @t27 (= (tptp.domain_difference @t17 @t22) (tptp.multiplication @t32 @t23))))
% 0.35/0.85  (assume @p23 (forall @t27 (= (tptp.forward_diamond @t17 @t22) (tptp.domain (tptp.multiplication @t17 @t37)))))
% 0.35/0.85  (assume @p24 (forall @t27 (= (tptp.backward_diamond @t17 @t22) (tptp.codomain (tptp.multiplication (tptp.codomain @t22) @t17)))))
% 0.35/0.85  (assume @p25 (forall @t27 (= (tptp.forward_box @t17 @t22) (tptp.c (tptp.forward_diamond @t17 @t38)))))
% 0.35/0.85  (assume @p26 (forall @t27 (= (tptp.backward_box @t17 @t22) (tptp.c (tptp.backward_diamond @t17 @t38)))))
% 0.35/0.85  (assume @p27 @t41)
% 0.35/0.85  (assume @p28 @t50)
% 0.35/0.85  (assume @p29 @t58)
% 0.35/0.85  (assume @p30 true)
% 0.35/0.85  (step @p31 :rule bool-impl-elim :args (@t59 @t60))
% 0.35/0.85  (step @p32 :rule cong :premises (@p31) :args ((forall @t49 (=> @t59 @t60))))
% 0.35/0.85  (step @p33 :rule eq-symm :args (@t45 @t44))
% 0.35/0.85  (step @p34 :rule eq-symm :args (@t47 @t46))
% 0.35/0.85  (step @p35 :rule cong :premises (@p34 @p33) :args (@t48))
% 0.35/0.85  (step @p36 :rule cong :premises (@p35) :args (@t50))
% 0.35/0.85  (step @p37 :rule trans :premises (@p36 @p32))
% 0.35/0.85  (step @p38 :rule eq_resolve :premises (@p28 @p37))
% 0.35/0.85  (step @p39 :rule instantiate :premises (@p38) :args ((@list @t73 @t71 @t72)))
% 0.35/0.85  (step @p40 :rule eq-symm :args (@t32 @t29))
% 0.35/0.85  (step @p41 :rule cong :premises (@p40) :args (@t33))
% 0.35/0.85  (step @p42 :rule eq_resolve :premises (@p16 @p41))
% 0.35/0.85  (step @p43 :rule instantiate :premises (@p42) :args ((@list @t72)))
% 0.35/0.85  (step @p44 :rule eq-symm :args (@t40 @t39))
% 0.35/0.85  (step @p45 :rule cong :premises (@p44) :args (@t41))
% 0.35/0.85  (step @p46 :rule eq_resolve :premises (@p27 @p45))
% 0.35/0.85  (step @p47 :rule instantiate :premises (@p46) :args (@t74))
% 0.35/0.85  (step @p48 :rule symm :premises (@p47))
% 0.35/0.85  (step @p49 :rule instantiate :premises (@p23) :args ((@list @t71 @t72)))
% 0.35/0.85  (step @p50 :rule symm :premises (@p49))
% 0.35/0.85  (step @p51 :rule trans :premises (@p50 @p48))
% 0.35/0.85  (step @p52 :rule cong :premises (@p51) :args (@t78))
% 0.35/0.85  (step @p53 :rule instantiate :premises (@p42) :args (@t79))
% 0.35/0.85  (step @p54 :rule cong :premises (@p53) :args (@t82))
% 0.35/0.85  (step @p55 :rule eq-symm :args (@t8 @t1))
% 0.35/0.85  (step @p56 :rule cong :premises (@p55) :args (@t10))
% 0.35/0.85  (step @p57 :rule eq_resolve :premises (@p3 @p56))
% 0.35/0.85  (step @p58 :rule instantiate :premises (@p57) :args ((@list @t82)))
% 0.35/0.85  (step @p59 :rule symm :premises (@p58))
% 0.35/0.85  (step @p60 :rule aci_norm :args ((= @t84 @t68)))
% 0.35/0.85  (step @p61 :rule cong :premises (@p60) :args (@t85))
% 0.35/0.85  (step @p62 :rule quant-merge-prenex :args ((= (forall @t20 @t87) @t85)))
% 0.35/0.85  (step @p63 :rule alpha_equiv :args (@t88 (@list @t61) (@list @t22)))
% 0.35/0.85  (step @p64 :rule refl :args (@t67))
% 0.35/0.85  (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t89))
% 0.35/0.85  (step @p66 :rule quant-miniscope-or :args ((= @t87 @t89)))
% 0.35/0.85  (step @p67 :rule trans :premises (@p66 @p65))
% 0.35/0.85  (step @p68 :rule symm :premises (@p67))
% 0.35/0.85  (step @p69 :rule cong :premises (@p68) :args ((forall @t20 (or @t67 @t92))))
% 0.35/0.85  (step @p70 :rule trans :premises (@p69 @p62))
% 0.35/0.85  (step @p71 :rule trans :premises (@p70 @p61))
% 0.35/0.85  (step @p72 :rule bool-impl-elim :args (@t66 @t92))
% 0.35/0.85  (step @p73 :rule cong :premises (@p72) :args ((forall @t20 (=> @t66 @t92))))
% 0.35/0.85  (step @p74 :rule trans :premises (@p73 @p71))
% 0.35/0.85  (step @p75 :rule bool-impl-elim :args (@t91 @t90))
% 0.35/0.85  (step @p76 :rule cong :premises (@p75) :args ((forall @t54 (=> @t91 @t90))))
% 0.35/0.85  (step @p77 :rule eq-symm :args (@t37 tptp.zero))
% 0.35/0.85  (step @p78 :rule eq-symm :args (@t52 @t51))
% 0.35/0.85  (step @p79 :rule cong :premises (@p78 @p77) :args (@t53))
% 0.35/0.85  (step @p80 :rule cong :premises (@p79) :args (@t55))
% 0.35/0.85  (step @p81 :rule trans :premises (@p80 @p76))
% 0.35/0.85  (step @p82 :rule eq-symm :args (@t39 tptp.zero))
% 0.35/0.85  (step @p83 :rule cong :premises (@p82 @p81) :args (@t56))
% 0.35/0.85  (step @p84 :rule cong :premises (@p83) :args (@t57))
% 0.35/0.85  (step @p85 :rule trans :premises (@p84 @p74))
% 0.35/0.85  (step @p86 :rule cong :premises (@p85) :args (@t58))
% 0.35/0.85  (step @p87 :rule eq_resolve :premises (@p29 @p86))
% 0.35/0.85  (step @p88 :rule skolemize :premises (@p87))
% 0.35/0.85  (step @p89 :rule bool-double-not-elim :args (@t93))
% 0.35/0.85  (step @p90 :rule refl :args (@t101))
% 0.35/0.85  (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t101 (not @t100))))
% 0.35/0.85  (step @p92 :rule cnf_or_neg :args (@t101 0))
% 0.35/0.85  (step @p93 :rule eq_resolve :premises (@p92 @p91))
% 0.35/0.85  (step @p94 :rule reordering :premises (@p93) :args ((or @t93 @t101)))
% 0.35/0.85  (step @p95 :rule chain_m_resolution :premises (@p94 @p88) :args (@t93 @t102 @t103))
% 0.35/0.85  (step @p96 :rule symm :premises (@p95))
% 0.35/0.85  (step @p97 :rule trans :premises (@p53 @p50 @p48 @p96))
% 0.35/0.85  (step @p98 :rule refl :args (@t82))
% 0.35/0.85  (step @p99 :rule cong :premises (@p98 @p97) :args ((tptp.addition @t82 @t81)))
% 0.35/0.85  (step @p100 :rule eq-symm :args (@t30 tptp.one))
% 0.35/0.85  (step @p101 :rule cong :premises (@p100) :args (@t31))
% 0.35/0.85  (step @p102 :rule eq_resolve :premises (@p15 @p101))
% 0.35/0.85  (step @p103 :rule instantiate :premises (@p102) :args ((@list @t80)))
% 0.35/0.85  (step @p104 :rule instantiate :premises (@p102) :args (@t79))
% 0.35/0.85  (step @p105 :rule symm :premises (@p104))
% 0.35/0.85  (step @p106 :rule cong :premises (@p52) :args (@t104))
% 0.35/0.85  (step @p107 :rule trans :premises (@p106 @p43))
% 0.35/0.85  (step @p108 :rule refl :args (@t71))
% 0.35/0.85  (step @p109 :rule cong :premises (@p108 @p107) :args (@t105))
% 0.35/0.85  (step @p110 :rule cong :premises (@p109) :args (@t106))
% 0.35/0.85  (step @p111 :rule eq-symm :args (@t26 @t24))
% 0.35/0.85  (step @p112 :rule cong :premises (@p111) :args (@t28))
% 0.35/0.85  (step @p113 :rule eq_resolve :premises (@p14 @p112))
% 0.35/0.85  (step @p114 :rule instantiate :premises (@p113) :args ((@list @t71 @t77)))
% 0.35/0.85  (step @p115 :rule symm :premises (@p114))
% 0.35/0.85  (step @p116 :rule trans :premises (@p115 @p110))
% 0.35/0.85  (step @p117 :rule refl :args (@t81))
% 0.35/0.85  (step @p118 :rule cong :premises (@p117 @p116) :args ((tptp.addition @t81 @t108)))
% 0.35/0.85  (step @p119 :rule instantiate :premises (@p2) :args ((@list @t106 @t107 @t81)))
% 0.35/0.85  (step @p120 :rule symm :premises (@p119))
% 0.35/0.85  (step @p121 :rule cong :premises (@p108 @p53) :args (@t109))
% 0.35/0.85  (step @p122 :rule cong :premises (@p121) :args ((tptp.antidomain @t109)))
% 0.35/0.85  (step @p123 :rule symm :premises (@p121))
% 0.35/0.85  (step @p124 :rule trans :premises (@p95 @p47 @p49))
% 0.35/0.85  (step @p125 :rule cong :premises (@p108 @p124) :args ((tptp.multiplication @t71 tptp.zero)))
% 0.35/0.85  (step @p126 :rule eq-symm :args (@t15 tptp.zero))
% 0.35/0.85  (step @p127 :rule cong :premises (@p126) :args (@t16))
% 0.35/0.85  (step @p128 :rule eq_resolve :premises (@p10 @p127))
% 0.35/0.85  (step @p129 :rule instantiate :premises (@p128) :args (@t74))
% 0.35/0.85  (step @p130 :rule trans :premises (@p50 @p48 @p96 @p129 @p125 @p123))
% 0.35/0.85  (step @p131 :rule cong :premises (@p130) :args (@t78))
% 0.35/0.85  (step @p132 :rule instantiate :premises (@p102) :args ((@list @t110)))
% 0.35/0.85  (step @p133 :rule symm :premises (@p132))
% 0.35/0.85  (step @p134 :rule instantiate :premises (@p1) :args ((@list @t111 @t112)))
% 0.35/0.85  (step @p135 :rule refl :args (@t112))
% 0.35/0.85  (step @p136 :rule eq-symm :args (@t111 @t94))
% 0.35/0.85  (step @p137 :rule refl :args (@t113))
% 0.35/0.85  (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t113 @t114)))
% 0.35/0.85  (assume-push @p332 @t113)
% 0.35/0.85  (step @p140 :rule instantiate :premises (@p42) :args (@t115))
% 0.35/0.85  (step-pop @p333 :rule scope :premises (@p140))
% 0.35/0.85  (step @p141 :rule process_scope :premises (@p333) :args (@t114))
% 0.35/0.85  (step @p143 :rule eq_resolve :premises (@p141 @p138))
% 0.35/0.85  (step @p144 :rule implies_elim :premises (@p143))
% 0.35/0.85  (step @p145 :rule chain_m_resolution :premises (@p144 @p42) :args ((= @t94 @t111) @t116 @t117))
% 0.35/0.85  (step @p146 :rule cong :premises (@p145 @p135) :args (@t118))
% 0.35/0.85  (step @p147 :rule trans :premises (@p146 @p134 @p133 @p103 @p99 @p59 @p54 @p131 @p122))
% 0.35/0.85  (step @p148 :rule eq-symm :args (@t81 @t77))
% 0.35/0.85  (step @p149 :rule cong :premises (@p137 @p148) :args ((=> @t113 @t119)))
% 0.35/0.85  (assume-push @p334 @t113)
% 0.35/0.85  (step-pop @p335 :rule scope :premises (@p53))
% 0.35/0.85  (step @p151 :rule process_scope :premises (@p335) :args (@t119))
% 0.35/0.85  (step @p153 :rule eq_resolve :premises (@p151 @p149))
% 0.35/0.85  (step @p154 :rule implies_elim :premises (@p153))
% 0.35/0.85  (step @p155 :rule chain_m_resolution :premises (@p154 @p42) :args ((= @t77 @t81) @t116 @t117))
% 0.35/0.85  (step @p156 :rule trans :premises (@p47 @p49 @p155))
% 0.35/0.85  (step @p157 :rule cong :premises (@p108 @p51) :args (@t120))
% 0.35/0.85  (step @p158 :rule trans :premises (@p157 @p48))
% 0.35/0.85  (step @p159 :rule trans :premises (@p158 @p156))
% 0.35/0.85  (step @p160 :rule cong :premises (@p159 @p147) :args ((tptp.addition @t120 @t118)))
% 0.35/0.85  (step @p161 :rule symm :premises (@p146))
% 0.35/0.85  (step @p162 :rule eq-symm :args (@t121 @t122))
% 0.35/0.85  (step @p163 :rule refl :args (@t5))
% 0.35/0.85  (step @p164 :rule cong :premises (@p163 @p162) :args ((=> @t5 @t123)))
% 0.35/0.85  (assume-push @p336 @t5)
% 0.35/0.85  (step-pop @p337 :rule scope :premises (@p134))
% 0.35/0.85  (step @p166 :rule process_scope :premises (@p337) :args (@t123))
% 0.35/0.85  (step @p168 :rule eq_resolve :premises (@p166 @p164))
% 0.35/0.85  (step @p169 :rule implies_elim :premises (@p168))
% 0.35/0.85  (step @p170 :rule chain_m_resolution :premises (@p169 @p1) :args ((= @t122 @t121) @t116 @t124))
% 0.35/0.85  (step @p171 :rule instantiate :premises (@p102) :args (@t115))
% 0.35/0.85  (step @p172 :rule symm :premises (@p171))
% 0.35/0.85  (step @p173 :rule refl :args (@t110))
% 0.35/0.85  (step @p174 :rule cong :premises (@p145 @p173) :args (@t125))
% 0.35/0.85  (step @p175 :rule trans :premises (@p174 @p172 @p132 @p170 @p161))
% 0.35/0.85  (step @p176 :rule refl :args (@t120))
% 0.35/0.85  (step @p177 :rule cong :premises (@p176 @p175) :args ((tptp.addition @t120 @t125)))
% 0.35/0.85  (step @p178 :rule instantiate :premises (@p2) :args ((@list @t110 @t94 @t120)))
% 0.35/0.85  (step @p179 :rule symm :premises (@p178))
% 0.35/0.85  (step @p180 :rule refl :args (@t94))
% 0.35/0.85  (step @p181 :rule symm :premises (@p158))
% 0.35/0.85  (step @p182 :rule cong :premises (@p181 @p180) :args (@t126))
% 0.35/0.85  (step @p183 :rule eq-symm :args (@t126 @t127))
% 0.35/0.85  (step @p184 :rule cong :premises (@p163 @p183) :args ((=> @t5 @t128)))
% 0.35/0.85  (assume-push @p338 @t5)
% 0.35/0.85  (step @p186 :rule instantiate :premises (@p1) :args ((@list @t72 @t94)))
% 0.35/0.85  (step-pop @p339 :rule scope :premises (@p186))
% 0.35/0.85  (step @p187 :rule process_scope :premises (@p339) :args (@t128))
% 0.35/0.85  (step @p189 :rule eq_resolve :premises (@p187 @p184))
% 0.35/0.85  (step @p190 :rule implies_elim :premises (@p189))
% 0.35/0.85  (step @p191 :rule chain_m_resolution :premises (@p190 @p1) :args ((= @t127 @t126) @t116 @t124))
% 0.35/0.85  (step @p192 :rule trans :premises (@p191 @p182))
% 0.35/0.85  (step @p193 :rule instantiate :premises (@p57) :args (@t129))
% 0.35/0.85  (step @p194 :rule symm :premises (@p193))
% 0.35/0.85  (step @p195 :rule cong :premises (@p180 @p96) :args (@t127))
% 0.35/0.85  (step @p196 :rule trans :premises (@p195 @p194))
% 0.35/0.85  (step @p197 :rule symm :premises (@p196))
% 0.35/0.85  (step @p140 :rule instantiate :premises (@p42) :args (@t115))
% 0.35/0.85  (step @p198 :rule trans :premises (@p140 @p197 @p192))
% 0.35/0.85  (step @p199 :rule cong :premises (@p198 @p173) :args ((tptp.addition @t111 @t110)))
% 0.35/0.85  (step @p200 :rule cong :premises (@p135 @p145) :args ((tptp.addition @t112 @t94)))
% 0.35/0.85  (step @p201 :rule trans :premises (@p200 @p133 @p171 @p199 @p179 @p177 @p160))
% 0.35/0.85  (step @p202 :rule symm :premises (@p200))
% 0.35/0.85  (step @p203 :rule symm :premises (@p103))
% 0.35/0.85  (step @p204 :rule symm :premises (@p99))
% 0.35/0.85  (step @p205 :rule symm :premises (@p54))
% 0.35/0.85  (step @p206 :rule symm :premises (@p131))
% 0.35/0.85  (step @p207 :rule symm :premises (@p122))
% 0.35/0.85  (step @p208 :rule trans :premises (@p207 @p206 @p205 @p58 @p204 @p203 @p132 @p202))
% 0.35/0.85  (step @p209 :rule trans :premises (@p208 @p201))
% 0.35/0.85  (step @p210 :rule cong :premises (@p209 @p115) :args ((tptp.addition @t107 @t108)))
% 0.35/0.85  (step @p211 :rule refl :args (@t107))
% 0.35/0.85  (step @p212 :rule cong :premises (@p211 @p114) :args (@t108))
% 0.35/0.85  (step @p213 :rule symm :premises (@p110))
% 0.35/0.85  (step @p214 :rule trans :premises (@p213 @p114 @p212 @p210 @p120 @p118 @p105 @p103 @p99 @p59 @p54 @p52))
% 0.35/0.85  (step @p215 :rule cong :premises (@p214) :args (@t81))
% 0.35/0.85  (step @p216 :rule trans :premises (@p157 @p49 @p155 @p215 @p43))
% 0.35/0.85  (step @p217 :rule refl :args (@t96))
% 0.35/0.85  (step @p218 :rule cong :premises (@p217 @p216) :args ((tptp.addition @t96 @t120)))
% 0.35/0.85  (step @p219 :rule bool-double-not-elim :args (@t98))
% 0.35/0.85  (step @p220 :rule nary_cong :premises (@p90 @p219) :args ((or @t101 (not @t99))))
% 0.35/0.85  (step @p221 :rule cnf_or_neg :args (@t101 1))
% 0.35/0.85  (step @p222 :rule eq_resolve :premises (@p221 @p220))
% 0.35/0.85  (step @p223 :rule reordering :premises (@p222) :args ((or @t98 @t101)))
% 0.35/0.85  (step @p224 :rule chain_m_resolution :premises (@p223 @p88) :args (@t98 @t102 @t103))
% 0.35/0.85  (step @p225 :rule symm :premises (@p224))
% 0.35/0.85  (step @p226 :rule cong :premises (@p225 @p176) :args (@t130))
% 0.35/0.85  (step @p227 :rule eq-symm :args (@t130 @t131))
% 0.35/0.85  (step @p228 :rule cong :premises (@p163 @p227) :args ((=> @t5 @t132)))
% 0.35/0.85  (assume-push @p340 @t5)
% 0.35/0.85  (step @p230 :rule instantiate :premises (@p1) :args (@t133))
% 0.35/0.85  (step-pop @p341 :rule scope :premises (@p230))
% 0.35/0.85  (step @p231 :rule process_scope :premises (@p341) :args (@t132))
% 0.35/0.85  (step @p233 :rule eq_resolve :premises (@p231 @p228))
% 0.35/0.85  (step @p234 :rule implies_elim :premises (@p233))
% 0.35/0.85  (step @p235 :rule chain_m_resolution :premises (@p234 @p1) :args ((= @t131 @t130) @t116 @t124))
% 0.35/0.85  (step @p236 :rule instantiate :premises (@p2) :args ((@list @t96 @t94 @t120)))
% 0.35/0.85  (step @p237 :rule symm :premises (@p236))
% 0.35/0.85  (step @p238 :rule trans :premises (@p197 @p192))
% 0.35/0.85  (step @p239 :rule cong :premises (@p238 @p217) :args (@t97))
% 0.35/0.85  (step @p240 :rule trans :premises (@p224 @p239 @p237 @p235 @p226 @p218))
% 0.35/0.85  (step @p241 :rule cong :premises (@p180 @p240) :args (@t97))
% 0.35/0.85  (step @p242 :rule symm :premises (@p239))
% 0.35/0.85  (step @p230 :rule instantiate :premises (@p1) :args (@t133))
% 0.35/0.85  (step @p243 :rule symm :premises (@p226))
% 0.35/0.85  (step @p244 :rule symm :premises (@p218))
% 0.35/0.85  (step @p245 :rule trans :premises (@p244 @p243 @p230 @p236 @p242 @p241))
% 0.35/0.85  (step @p246 :rule cnf_or_neg :args (@t101 2))
% 0.35/0.85  (step @p247 :rule chain_m_resolution :premises (@p246 @p88) :args ((not @t95) @t102 @t103))
% 0.35/0.85  (step @p248 :rule false_intro :premises (@p247))
% 0.35/0.85  (step @p249 :rule instantiate :premises (@p23) :args ((@list @t134 @t77)))
% 0.35/0.85  (step @p250 :rule instantiate :premises (@p23) :args ((@list @t138 @t94)))
% 0.35/0.85  (step @p251 :rule symm :premises (@p250))
% 0.35/0.85  (step @p252 :rule instantiate :premises (@p42) :args (@t129))
% 0.35/0.85  (step @p253 :rule refl :args (@t138))
% 0.35/0.85  (step @p254 :rule cong :premises (@p253 @p252) :args ((tptp.multiplication @t138 @t139)))
% 0.35/0.85  (step @p255 :rule instantiate :premises (@p5) :args ((@list @t137 @t71 @t139)))
% 0.35/0.85  (step @p256 :rule eq-symm :args (@t139 @t135))
% 0.35/0.85  (step @p257 :rule cong :premises (@p137 @p256) :args ((=> @t113 @t140)))
% 0.35/0.85  (assume-push @p342 @t113)
% 0.35/0.85  (step-pop @p343 :rule scope :premises (@p252))
% 0.35/0.85  (step @p259 :rule process_scope :premises (@p343) :args (@t140))
% 0.35/0.85  (step @p261 :rule eq_resolve :premises (@p259 @p257))
% 0.35/0.85  (step @p262 :rule implies_elim :premises (@p261))
% 0.35/0.85  (step @p263 :rule chain_m_resolution :premises (@p262 @p42) :args ((= @t135 @t139) @t116 @t117))
% 0.35/0.85  (step @p264 :rule cong :premises (@p108 @p263) :args (@t136))
% 0.35/0.85  (step @p265 :rule symm :premises (@p264))
% 0.35/0.85  (step @p266 :rule cong :premises (@p265) :args (@t141))
% 0.35/0.85  (step @p267 :rule cong :premises (@p266 @p264) :args ((tptp.multiplication @t141 @t136)))
% 0.35/0.85  (step @p268 :rule refl :args (@t136))
% 0.35/0.85  (step @p269 :rule symm :premises (@p266))
% 0.35/0.85  (step @p270 :rule cong :premises (@p269 @p268) :args ((tptp.multiplication @t137 @t136)))
% 0.35/0.85  (step @p271 :rule eq-symm :args (@t19 tptp.zero))
% 0.35/0.85  (step @p272 :rule cong :premises (@p271) :args (@t21))
% 0.35/0.85  (step @p273 :rule eq_resolve :premises (@p13 @p272))
% 0.35/0.85  (step @p274 :rule instantiate :premises (@p273) :args ((@list @t136)))
% 0.35/0.85  (step @p275 :rule trans :premises (@p96 @p274 @p270 @p267 @p255 @p254))
% 0.35/0.85  (step @p276 :rule cong :premises (@p275) :args (@t75))
% 0.35/0.85  (step @p277 :rule trans :premises (@p47 @p49 @p155 @p215 @p43 @p276 @p251))
% 0.35/0.85  (step @p278 :rule cong :premises (@p277 @p249) :args (@t143))
% 0.35/0.85  (step @p279 :rule symm :premises (@p215))
% 0.35/0.85  (step @p280 :rule eq-symm :args (@t144 @t75))
% 0.35/0.85  (step @p281 :rule cong :premises (@p137 @p280) :args ((=> @t113 @t145)))
% 0.35/0.85  (assume-push @p344 @t113)
% 0.35/0.85  (step-pop @p345 :rule scope :premises (@p43))
% 0.35/0.85  (step @p283 :rule process_scope :premises (@p345) :args (@t145))
% 0.35/0.85  (step @p285 :rule eq_resolve :premises (@p283 @p281))
% 0.35/0.85  (step @p286 :rule implies_elim :premises (@p285))
% 0.35/0.85  (step @p287 :rule chain_m_resolution :premises (@p286 @p42) :args ((= @t75 @t144) @t116 @t117))
% 0.35/0.85  (step @p288 :rule trans :premises (@p287 @p279 @p53))
% 0.35/0.85  (step @p289 :rule refl :args (@t134))
% 0.35/0.85  (step @p290 :rule cong :premises (@p289 @p288) :args (@t146))
% 0.35/0.85  (step @p291 :rule refl :args (@t72))
% 0.35/0.85  (step @p292 :rule cong :premises (@p291 @p290) :args (@t147))
% 0.35/0.85  (step @p293 :rule trans :premises (@p292 @p278))
% 0.35/0.85  (step @p294 :rule cong :premises (@p180 @p293) :args (@t148))
% 0.35/0.85  (step @p295 :rule symm :premises (@p294))
% 0.35/0.85  (step @p296 :rule instantiate :premises (@p128) :args ((@list @t134)))
% 0.35/0.85  (step @p297 :rule symm :premises (@p296))
% 0.35/0.85  (step @p298 :rule cong :premises (@p51) :args (@t149))
% 0.35/0.85  (step @p299 :rule trans :premises (@p298 @p287 @p279 @p53 @p50 @p48 @p96))
% 0.35/0.85  (step @p300 :rule cong :premises (@p289 @p299) :args (@t150))
% 0.35/0.85  (step @p301 :rule trans :premises (@p300 @p297 @p95))
% 0.35/0.85  (step @p302 :rule cong :premises (@p301) :args (@t151))
% 0.35/0.85  (step @p303 :rule instantiate :premises (@p57) :args ((@list @t142)))
% 0.35/0.85  (step @p304 :rule symm :premises (@p303))
% 0.35/0.85  (step @p305 :rule refl :args (@t142))
% 0.35/0.85  (step @p306 :rule cong :premises (@p305 @p96) :args (@t152))
% 0.35/0.85  (step @p307 :rule eq-symm :args (@t152 @t143))
% 0.35/0.85  (step @p308 :rule cong :premises (@p163 @p307) :args ((=> @t5 @t153)))
% 0.35/0.85  (assume-push @p346 @t5)
% 0.35/0.85  (step @p310 :rule instantiate :premises (@p1) :args ((@list @t142 @t72)))
% 0.35/0.85  (step-pop @p347 :rule scope :premises (@p310))
% 0.35/0.85  (step @p311 :rule process_scope :premises (@p347) :args (@t153))
% 0.35/0.85  (step @p313 :rule eq_resolve :premises (@p311 @p308))
% 0.35/0.85  (step @p314 :rule implies_elim :premises (@p313))
% 0.35/0.85  (step @p315 :rule chain_m_resolution :premises (@p314 @p1) :args ((= @t143 @t152) @t116 @t124))
% 0.35/0.85  (step @p316 :rule symm :premises (@p278))
% 0.35/0.85  (step @p317 :rule trans :premises (@p316 @p315 @p306 @p304 @p249 @p302 @p287 @p279 @p53 @p50 @p48))
% 0.35/0.85  (step @p318 :rule cong :premises (@p180 @p317) :args ((tptp.addition @t94 (tptp.addition (tptp.forward_diamond @t138 @t94) @t151))))
% 0.35/0.85  (step @p319 :rule symm :premises (@p318))
% 0.35/0.85  (step @p320 :rule trans :premises (@p197 @p319 @p295))
% 0.35/0.85  (step @p321 :rule symm :premises (@p320))
% 0.35/0.85  (step @p322 :rule symm :premises (@p293))
% 0.35/0.85  (step @p323 :rule symm :premises (@p317))
% 0.35/0.85  (step @p324 :rule trans :premises (@p95 @p323 @p322))
% 0.35/0.85  (step @p325 :rule symm :premises (@p324))
% 0.35/0.85  (step @p326 :rule cong :premises (@p325 @p321) :args (@t154))
% 0.35/0.85  (step @p327 :rule trans :premises (@p326 @p248))
% 0.35/0.85  (step @p328 :rule false_elim :premises (@p327))
% 0.35/0.85  (step @p329 :rule cnf_or_pos :args (@t158))
% 0.35/0.85  (step @p330 :rule reordering :premises (@p329) :args ((or @t157 @t154 (not @t158))))
% 0.35/0.85  (step @p331 false :rule chain_m_resolution :premises (@p330 @p328 @p245 @p39) :args (false (@list true false false) (@list @t154 @t156 @t158)))
% 0.35/0.85  )
% 0.35/0.85  % SZS output end Proof
% 0.35/0.85  % cvc5 exiting
%------------------------------------------------------------------------------