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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP179-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 08:20:07 AM UTC 2026

% Result   : Unsatisfiable 0.50s 0.77s
% Output   : Proof 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP179-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n022.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 00:55:09 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.50/0.77  % SZS status Unsatisfiable
% 0.50/0.77  % SZS output start Proof
% 0.50/0.78  (
% 0.50/0.78  (declare-sort $$unsorted 0)
% 0.50/0.78  (declare-const tptp.a $$unsorted)
% 0.50/0.78  (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted))
% 0.50/0.78  (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted))
% 0.50/0.78  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.50/0.78  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.50/0.78  (declare-const tptp.identity $$unsorted)
% 0.50/0.78  (define @t1 () (@var "X" $$unsorted))
% 0.50/0.78  (define @t2 () (tptp.multiply tptp.identity @t1))
% 0.50/0.78  (define @t3 () (@list @t1))
% 0.50/0.78  (define @t4 () (forall @t3 (= @t2 @t1)))
% 0.50/0.78  (define @t5 () (tptp.inverse @t1))
% 0.50/0.78  (define @t6 () (tptp.multiply @t5 @t1))
% 0.50/0.78  (define @t7 () (forall @t3 (= @t6 tptp.identity)))
% 0.50/0.78  (define @t8 () (@var "Z" $$unsorted))
% 0.50/0.78  (define @t9 () (@var "Y" $$unsorted))
% 0.50/0.78  (define @t10 () (tptp.multiply @t1 @t9))
% 0.50/0.78  (define @t11 () (@list @t1 @t9 @t8))
% 0.50/0.78  (define @t12 () (tptp.greatest_lower_bound @t1 @t9))
% 0.50/0.78  (define @t13 () (@list @t1 @t9))
% 0.50/0.78  (define @t14 () (tptp.least_upper_bound @t1 @t9))
% 0.50/0.78  (define @t15 () (tptp.greatest_lower_bound @t9 @t8))
% 0.50/0.78  (define @t16 () (tptp.least_upper_bound @t9 @t8))
% 0.50/0.78  (define @t17 () (tptp.least_upper_bound @t1 @t1))
% 0.50/0.78  (define @t18 () (forall @t3 (= @t17 @t1)))
% 0.50/0.78  (define @t19 () (tptp.greatest_lower_bound @t1 @t1))
% 0.50/0.78  (define @t20 () (forall @t3 (= @t19 @t1)))
% 0.50/0.78  (define @t21 () (tptp.least_upper_bound @t1 @t12))
% 0.50/0.78  (define @t22 () (forall @t13 (= @t21 @t1)))
% 0.50/0.78  (define @t23 () (tptp.greatest_lower_bound @t1 @t14))
% 0.50/0.78  (define @t24 () (forall @t13 (= @t23 @t1)))
% 0.50/0.78  (define @t25 () (tptp.multiply @t1 @t8))
% 0.50/0.78  (define @t26 () (tptp.multiply @t8 @t1))
% 0.50/0.78  (define @t27 () (tptp.multiply @t9 @t1))
% 0.50/0.78  (define @t28 () (@list @t9 @t8 @t1))
% 0.50/0.78  (define @t29 () (tptp.inverse tptp.identity))
% 0.50/0.78  (define @t30 () (tptp.inverse @t5))
% 0.50/0.78  (define @t31 () (forall @t3 (= @t30 @t1)))
% 0.50/0.78  (define @t32 () (tptp.greatest_lower_bound tptp.a tptp.identity))
% 0.50/0.78  (define @t33 () (tptp.inverse @t32))
% 0.50/0.78  (define @t34 () (tptp.inverse tptp.a))
% 0.50/0.78  (define @t35 () (tptp.least_upper_bound @t34 tptp.identity))
% 0.50/0.78  (define @t36 () (= @t35 @t33))
% 0.50/0.78  (define @t37 () (@list tptp.a))
% 0.50/0.78  (define @t38 () (@list @t32))
% 0.50/0.78  (define @t39 () (@list tptp.a tptp.identity))
% 0.50/0.78  (define @t40 () (@list @t34 tptp.identity))
% 0.50/0.78  (define @t41 () (@list tptp.identity tptp.a))
% 0.50/0.78  (define @t42 () (@list @t33))
% 0.50/0.78  (define @t43 () (tptp.inverse @t33))
% 0.50/0.78  (define @t44 () (tptp.least_upper_bound tptp.identity @t34))
% 0.50/0.78  (define @t45 () (tptp.multiply @t35 tptp.a))
% 0.50/0.78  (define @t46 () (tptp.multiply @t34 tptp.a))
% 0.50/0.78  (define @t47 () (tptp.greatest_lower_bound tptp.identity tptp.a))
% 0.50/0.78  (define @t48 () (tptp.multiply @t34 @t32))
% 0.50/0.78  (define @t49 () (tptp.greatest_lower_bound @t45 @t44))
% 0.50/0.78  (define @t50 () (tptp.least_upper_bound @t48 @t47))
% 0.50/0.78  (define @t51 () (tptp.least_upper_bound @t32 @t32))
% 0.50/0.78  (define @t52 () (tptp.multiply @t45 tptp.identity))
% 0.50/0.78  (define @t53 () (tptp.multiply @t46 tptp.identity))
% 0.50/0.78  (define @t54 () (= tptp.identity @t29))
% 0.50/0.78  (define @t55 () (= tptp.identity (tptp.multiply @t29 tptp.identity)))
% 0.50/0.78  (define @t56 () (= tptp.identity @t46))
% 0.50/0.78  (define @t57 () (tptp.multiply @t33 @t32))
% 0.50/0.78  (define @t58 () (= tptp.identity @t57))
% 0.50/0.78  (define @t59 () (= @t32 @t47))
% 0.50/0.78  (define @t60 () (= @t35 @t44))
% 0.50/0.78  (define @t61 () (tptp.least_upper_bound tptp.a @t32))
% 0.50/0.78  (define @t62 () (= tptp.a @t61))
% 0.50/0.78  (define @t63 () (tptp.greatest_lower_bound @t34 @t35))
% 0.50/0.78  (define @t64 () (= @t34 @t63))
% 0.50/0.78  (define @t65 () (= tptp.identity (tptp.least_upper_bound tptp.identity @t47)))
% 0.50/0.78  (define @t66 () (= tptp.identity (tptp.greatest_lower_bound tptp.identity @t44)))
% 0.50/0.78  (define @t67 () (tptp.least_upper_bound @t46 @t48))
% 0.50/0.78  (define @t68 () (tptp.multiply @t34 @t61))
% 0.50/0.78  (define @t69 () (= @t68 @t67))
% 0.50/0.78  (define @t70 () (tptp.greatest_lower_bound @t46 @t45))
% 0.50/0.78  (define @t71 () (tptp.multiply @t63 tptp.a))
% 0.50/0.78  (define @t72 () (= @t71 @t70))
% 0.50/0.78  (define @t73 () (tptp.multiply @t33 @t43))
% 0.50/0.78  (define @t74 () (= (tptp.inverse @t57) @t73))
% 0.50/0.78  (define @t75 () (= @t33 (tptp.multiply tptp.identity @t33)))
% 0.50/0.78  (define @t76 () (= tptp.identity (tptp.multiply @t43 @t33)))
% 0.50/0.78  (define @t77 () (tptp.multiply @t32 @t33))
% 0.50/0.78  (define @t78 () (tptp.multiply @t77 @t43))
% 0.50/0.78  (define @t79 () (= @t78 (tptp.multiply @t32 @t73)))
% 0.50/0.78  (define @t80 () (tptp.greatest_lower_bound @t70 @t44))
% 0.50/0.78  (define @t81 () (tptp.greatest_lower_bound @t46 @t49))
% 0.50/0.78  (define @t82 () (= @t81 @t80))
% 0.50/0.78  (define @t83 () (tptp.least_upper_bound @t67 @t47))
% 0.50/0.78  (define @t84 () (tptp.least_upper_bound @t46 @t50))
% 0.50/0.78  (define @t85 () (= @t84 @t83))
% 0.50/0.78  (define @t86 () (= @t32 @t51))
% 0.50/0.78  (define @t87 () (tptp.greatest_lower_bound @t35 @t35))
% 0.50/0.78  (define @t88 () (= @t35 @t87))
% 0.50/0.78  (define @t89 () (tptp.greatest_lower_bound @t53 @t52))
% 0.50/0.78  (define @t90 () (tptp.multiply @t70 tptp.identity))
% 0.50/0.78  (define @t91 () (= @t90 @t89))
% 0.50/0.78  (define @t92 () (= @t32 @t43))
% 0.50/0.78  (define @t93 () (tptp.multiply tptp.identity tptp.a))
% 0.50/0.78  (define @t94 () (= tptp.a @t93))
% 0.50/0.78  (define @t95 () (= @t43 (tptp.multiply tptp.identity @t43)))
% 0.50/0.78  (define @t96 () (= @t45 (tptp.multiply tptp.identity @t45)))
% 0.50/0.78  (define @t97 () (tptp.greatest_lower_bound @t49 @t46))
% 0.50/0.78  (define @t98 () (= @t81 @t97))
% 0.50/0.78  (define @t99 () (= @t84 (tptp.least_upper_bound @t50 @t46)))
% 0.50/0.78  (define @t100 () (tptp.multiply @t35 tptp.identity))
% 0.50/0.78  (define @t101 () (tptp.multiply @t35 @t32))
% 0.50/0.78  (define @t102 () (= @t101 (tptp.greatest_lower_bound @t45 @t100)))
% 0.50/0.78  (define @t103 () (tptp.multiply tptp.identity @t51))
% 0.50/0.78  (define @t104 () (tptp.multiply @t34 @t51))
% 0.50/0.78  (define @t105 () (tptp.least_upper_bound @t104 @t103))
% 0.50/0.78  (define @t106 () (tptp.multiply @t35 @t51))
% 0.50/0.78  (define @t107 () (= @t106 @t105))
% 0.50/0.78  (define @t108 () (tptp.greatest_lower_bound (tptp.multiply @t53 @t45) (tptp.multiply @t52 @t45)))
% 0.50/0.78  (define @t109 () (tptp.multiply @t89 @t45))
% 0.50/0.78  (define @t110 () (= @t109 @t108))
% 0.50/0.78  (define @t111 () (tptp.multiply @t34 @t29))
% 0.50/0.78  (define @t112 () (= (tptp.inverse @t93) @t111))
% 0.50/0.78  (define @t113 () (tptp.multiply @t51 tptp.identity))
% 0.50/0.78  (define @t114 () (tptp.multiply @t35 @t113))
% 0.50/0.78  (define @t115 () (= (tptp.multiply @t106 tptp.identity) @t114))
% 0.50/0.78  (define @t116 () (tptp.multiply @t106 @t33))
% 0.50/0.78  (define @t117 () (= @t116 (tptp.multiply @t35 (tptp.multiply @t51 @t33))))
% 0.50/0.78  (define @t118 () (tptp.least_upper_bound @t49 @t97))
% 0.50/0.78  (define @t119 () (= @t49 @t118))
% 0.50/0.78  (define @t120 () (= @t100 (tptp.least_upper_bound (tptp.multiply @t34 tptp.identity) (tptp.multiply tptp.identity tptp.identity))))
% 0.50/0.78  (define @t121 () (tptp.multiply @t57 tptp.identity))
% 0.50/0.78  (define @t122 () (tptp.multiply @t87 @t32))
% 0.50/0.78  (define @t123 () (and @t54 @t55 @t56 @t58 @t59 @t60 @t62 @t64 @t65 @t66 @t69 @t72 @t74 @t75 @t76 @t79 @t82 @t85 @t86 @t88 @t91 @t92 @t94 @t95 @t96 @t98 @t99 @t102 @t107 @t110 @t112 @t115 @t117 @t119 @t120))
% 0.50/0.78  (assume @p1 @t4)
% 0.50/0.78  (assume @p2 @t7)
% 0.50/0.78  (assume @p3 (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8)))))
% 0.50/0.78  (assume @p4 (forall @t13 (= @t12 (tptp.greatest_lower_bound @t9 @t1))))
% 0.50/0.78  (assume @p5 (forall @t13 (= @t14 (tptp.least_upper_bound @t9 @t1))))
% 0.50/0.78  (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.greatest_lower_bound @t12 @t8))))
% 0.50/0.78  (assume @p7 (forall @t11 (= (tptp.least_upper_bound @t1 @t16) (tptp.least_upper_bound @t14 @t8))))
% 0.50/0.78  (assume @p8 @t18)
% 0.50/0.78  (assume @p9 @t20)
% 0.50/0.78  (assume @p10 @t22)
% 0.50/0.78  (assume @p11 @t24)
% 0.50/0.78  (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t16) (tptp.least_upper_bound @t10 @t25))))
% 0.50/0.78  (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t15) (tptp.greatest_lower_bound @t10 @t25))))
% 0.50/0.78  (assume @p14 (forall @t28 (= (tptp.multiply @t16 @t1) (tptp.least_upper_bound @t27 @t26))))
% 0.50/0.78  (assume @p15 (forall @t28 (= (tptp.multiply @t15 @t1) (tptp.greatest_lower_bound @t27 @t26))))
% 0.50/0.78  (assume @p16 (= @t29 tptp.identity))
% 0.50/0.78  (assume @p17 @t31)
% 0.50/0.78  (assume @p18 (forall @t13 (= (tptp.inverse @t10) (tptp.multiply (tptp.inverse @t9) @t5))))
% 0.50/0.78  (assume @p19 (not @t36))
% 0.50/0.78  (step @p20 :rule symm :premises (@p16))
% 0.50/0.78  (step @p21 :rule eq-symm :args (@t6 tptp.identity))
% 0.50/0.78  (step @p22 :rule cong :premises (@p21) :args (@t7))
% 0.50/0.78  (step @p23 :rule eq_resolve :premises (@p2 @p22))
% 0.50/0.78  (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.identity)))
% 0.50/0.78  (step @p25 :rule instantiate :premises (@p23) :args (@t37))
% 0.50/0.78  (step @p26 :rule instantiate :premises (@p23) :args (@t38))
% 0.50/0.78  (step @p27 :rule instantiate :premises (@p4) :args (@t39))
% 0.50/0.78  (step @p28 :rule instantiate :premises (@p5) :args (@t40))
% 0.50/0.78  (step @p29 :rule eq-symm :args (@t21 @t1))
% 0.50/0.78  (step @p30 :rule cong :premises (@p29) :args (@t22))
% 0.50/0.78  (step @p31 :rule eq_resolve :premises (@p10 @p30))
% 0.50/0.78  (step @p32 :rule instantiate :premises (@p31) :args (@t39))
% 0.50/0.78  (step @p33 :rule eq-symm :args (@t23 @t1))
% 0.50/0.78  (step @p34 :rule cong :premises (@p33) :args (@t24))
% 0.50/0.78  (step @p35 :rule eq_resolve :premises (@p11 @p34))
% 0.50/0.78  (step @p36 :rule instantiate :premises (@p35) :args (@t40))
% 0.50/0.78  (step @p37 :rule instantiate :premises (@p31) :args (@t41))
% 0.50/0.78  (step @p38 :rule instantiate :premises (@p35) :args ((@list tptp.identity @t34)))
% 0.50/0.78  (step @p39 :rule instantiate :premises (@p12) :args ((@list @t34 tptp.a @t32)))
% 0.50/0.78  (step @p40 :rule instantiate :premises (@p15) :args ((@list @t34 @t35 tptp.a)))
% 0.50/0.78  (step @p41 :rule instantiate :premises (@p18) :args ((@list @t33 @t32)))
% 0.50/0.78  (step @p42 :rule eq-symm :args (@t2 @t1))
% 0.50/0.78  (step @p43 :rule cong :premises (@p42) :args (@t4))
% 0.50/0.78  (step @p44 :rule eq_resolve :premises (@p1 @p43))
% 0.50/0.78  (step @p45 :rule instantiate :premises (@p44) :args (@t42))
% 0.50/0.78  (step @p46 :rule instantiate :premises (@p23) :args (@t42))
% 0.50/0.78  (step @p47 :rule instantiate :premises (@p3) :args ((@list @t32 @t33 @t43)))
% 0.50/0.78  (step @p48 :rule instantiate :premises (@p6) :args ((@list @t46 @t45 @t44)))
% 0.50/0.78  (step @p49 :rule instantiate :premises (@p7) :args ((@list @t46 @t48 @t47)))
% 0.50/0.78  (step @p50 :rule eq-symm :args (@t17 @t1))
% 0.50/0.78  (step @p51 :rule cong :premises (@p50) :args (@t18))
% 0.50/0.78  (step @p52 :rule eq_resolve :premises (@p8 @p51))
% 0.50/0.78  (step @p53 :rule instantiate :premises (@p52) :args (@t38))
% 0.50/0.78  (step @p54 :rule eq-symm :args (@t19 @t1))
% 0.50/0.78  (step @p55 :rule cong :premises (@p54) :args (@t20))
% 0.50/0.78  (step @p56 :rule eq_resolve :premises (@p9 @p55))
% 0.50/0.78  (step @p57 :rule instantiate :premises (@p56) :args ((@list @t35)))
% 0.50/0.78  (step @p58 :rule instantiate :premises (@p15) :args ((@list @t46 @t45 tptp.identity)))
% 0.50/0.78  (step @p59 :rule eq-symm :args (@t30 @t1))
% 0.50/0.78  (step @p60 :rule cong :premises (@p59) :args (@t31))
% 0.50/0.78  (step @p61 :rule eq_resolve :premises (@p17 @p60))
% 0.50/0.78  (step @p62 :rule instantiate :premises (@p61) :args (@t38))
% 0.50/0.78  (step @p63 :rule instantiate :premises (@p44) :args (@t37))
% 0.50/0.78  (step @p64 :rule instantiate :premises (@p44) :args ((@list @t43)))
% 0.50/0.78  (step @p65 :rule instantiate :premises (@p44) :args ((@list @t45)))
% 0.50/0.78  (step @p66 :rule instantiate :premises (@p4) :args ((@list @t46 @t49)))
% 0.50/0.78  (step @p67 :rule instantiate :premises (@p5) :args ((@list @t46 @t50)))
% 0.50/0.78  (step @p68 :rule instantiate :premises (@p13) :args ((@list @t35 tptp.a tptp.identity)))
% 0.50/0.78  (step @p69 :rule instantiate :premises (@p14) :args ((@list @t34 tptp.identity @t51)))
% 0.50/0.78  (step @p70 :rule instantiate :premises (@p15) :args ((@list @t53 @t52 @t45)))
% 0.50/0.78  (step @p71 :rule instantiate :premises (@p18) :args (@t41))
% 0.50/0.78  (step @p72 :rule instantiate :premises (@p3) :args ((@list @t35 @t51 tptp.identity)))
% 0.50/0.78  (step @p73 :rule instantiate :premises (@p3) :args ((@list @t35 @t51 @t33)))
% 0.50/0.78  (step @p74 :rule instantiate :premises (@p31) :args ((@list @t49 @t46)))
% 0.50/0.78  (step @p75 :rule instantiate :premises (@p14) :args ((@list @t34 tptp.identity tptp.identity)))
% 0.50/0.78  (assume-push @p265 @t54)
% 0.50/0.78  (assume-push @p266 @t55)
% 0.50/0.78  (assume-push @p267 @t56)
% 0.50/0.78  (assume-push @p268 @t58)
% 0.50/0.78  (assume-push @p269 @t59)
% 0.50/0.78  (assume-push @p270 @t60)
% 0.50/0.78  (assume-push @p271 @t62)
% 0.50/0.78  (assume-push @p272 @t64)
% 0.50/0.78  (assume-push @p273 @t65)
% 0.50/0.78  (assume-push @p274 @t66)
% 0.50/0.78  (assume-push @p275 @t69)
% 0.50/0.78  (assume-push @p276 @t72)
% 0.50/0.78  (assume-push @p277 @t74)
% 0.50/0.78  (assume-push @p278 @t75)
% 0.50/0.78  (assume-push @p279 @t76)
% 0.50/0.78  (assume-push @p280 @t79)
% 0.50/0.78  (assume-push @p281 @t82)
% 0.50/0.78  (assume-push @p282 @t85)
% 0.50/0.78  (assume-push @p283 @t86)
% 0.50/0.78  (assume-push @p284 @t88)
% 0.50/0.78  (assume-push @p285 @t91)
% 0.50/0.78  (assume-push @p286 @t92)
% 0.50/0.78  (assume-push @p287 @t94)
% 0.50/0.78  (assume-push @p288 @t95)
% 0.50/0.78  (assume-push @p289 @t96)
% 0.50/0.78  (assume-push @p290 @t98)
% 0.50/0.78  (assume-push @p291 @t99)
% 0.50/0.78  (assume-push @p292 @t102)
% 0.50/0.78  (assume-push @p293 @t107)
% 0.50/0.78  (assume-push @p294 @t110)
% 0.50/0.78  (assume-push @p295 @t112)
% 0.50/0.78  (assume-push @p296 @t115)
% 0.50/0.78  (assume-push @p297 @t117)
% 0.50/0.78  (assume-push @p298 @t119)
% 0.50/0.78  (assume-push @p299 @t120)
% 0.50/0.78  (step @p111 :rule symm :premises (@p45))
% 0.50/0.78  (step @p112 :rule refl :args (@t33))
% 0.50/0.78  (step @p113 :rule cong :premises (@p16 @p112) :args ((tptp.multiply @t29 @t33)))
% 0.50/0.78  (step @p114 :rule symm :premises (@p25))
% 0.50/0.78  (step @p115 :rule refl :args (tptp.a))
% 0.50/0.78  (step @p116 :rule symm :premises (@p36))
% 0.50/0.78  (step @p117 :rule cong :premises (@p116 @p115) :args (@t71))
% 0.50/0.78  (step @p118 :rule symm :premises (@p40))
% 0.50/0.78  (step @p119 :rule trans :premises (@p118 @p117 @p114 @p20))
% 0.50/0.78  (step @p120 :rule cong :premises (@p119 @p112) :args ((tptp.multiply @t70 @t33)))
% 0.50/0.78  (step @p121 :rule symm :premises (@p119))
% 0.50/0.78  (step @p122 :rule symm :premises (@p37))
% 0.50/0.78  (step @p123 :rule refl :args (@t47))
% 0.50/0.78  (step @p124 :rule symm :premises (@p32))
% 0.50/0.78  (step @p125 :rule refl :args (@t34))
% 0.50/0.78  (step @p126 :rule cong :premises (@p125 @p124) :args (@t68))
% 0.50/0.78  (step @p127 :rule symm :premises (@p39))
% 0.50/0.78  (step @p128 :rule trans :premises (@p127 @p126 @p114))
% 0.50/0.78  (step @p129 :rule cong :premises (@p128 @p123) :args (@t83))
% 0.50/0.78  (step @p130 :rule symm :premises (@p67))
% 0.50/0.78  (step @p131 :rule refl :args (@t50))
% 0.50/0.78  (step @p132 :rule cong :premises (@p131 @p25) :args ((tptp.least_upper_bound @t50 tptp.identity)))
% 0.50/0.78  (step @p133 :rule symm :premises (@p38))
% 0.50/0.78  (step @p134 :rule refl :args (@t44))
% 0.50/0.78  (step @p135 :rule trans :premises (@p118 @p117 @p114))
% 0.50/0.78  (step @p136 :rule cong :premises (@p135 @p134) :args (@t80))
% 0.50/0.78  (step @p137 :rule symm :premises (@p66))
% 0.50/0.78  (step @p138 :rule trans :premises (@p137 @p48 @p136 @p133))
% 0.50/0.78  (step @p139 :rule symm :premises (@p62))
% 0.50/0.78  (step @p140 :rule symm :premises (@p64))
% 0.50/0.78  (step @p141 :rule refl :args (tptp.identity))
% 0.50/0.78  (step @p142 :rule cong :premises (@p141 @p62) :args ((tptp.multiply tptp.identity @t32)))
% 0.50/0.78  (step @p143 :rule symm :premises (@p53))
% 0.50/0.78  (step @p144 :rule cong :premises (@p141 @p143) :args (@t103))
% 0.50/0.78  (step @p145 :rule trans :premises (@p144 @p142 @p140 @p139 @p27))
% 0.50/0.78  (step @p146 :rule cong :premises (@p125 @p143) :args (@t104))
% 0.50/0.78  (step @p147 :rule cong :premises (@p146 @p145) :args (@t105))
% 0.50/0.78  (step @p148 :rule refl :args (@t35))
% 0.50/0.78  (step @p149 :rule cong :premises (@p148 @p53) :args (@t101))
% 0.50/0.78  (step @p150 :rule symm :premises (@p68))
% 0.50/0.78  (step @p151 :rule refl :args (@t100))
% 0.50/0.78  (step @p152 :rule symm :premises (@p65))
% 0.50/0.78  (step @p153 :rule refl :args (@t45))
% 0.50/0.78  (step @p154 :rule cong :premises (@p16 @p153) :args ((tptp.multiply @t29 @t45)))
% 0.50/0.78  (step @p155 :rule symm :premises (@p24))
% 0.50/0.78  (step @p156 :rule symm :premises (@p26))
% 0.50/0.78  (step @p157 :rule trans :premises (@p156 @p20))
% 0.50/0.78  (step @p158 :rule cong :premises (@p157 @p141) :args (@t121))
% 0.50/0.78  (step @p159 :rule symm :premises (@p157))
% 0.50/0.78  (step @p160 :rule trans :premises (@p119 @p159))
% 0.50/0.78  (step @p161 :rule cong :premises (@p160 @p141) :args (@t90))
% 0.50/0.78  (step @p162 :rule symm :premises (@p58))
% 0.50/0.78  (step @p163 :rule trans :premises (@p162 @p161 @p158 @p155 @p20))
% 0.50/0.78  (step @p164 :rule cong :premises (@p163 @p153) :args (@t109))
% 0.50/0.78  (step @p165 :rule symm :premises (@p70))
% 0.50/0.78  (step @p166 :rule trans :premises (@p165 @p164 @p154 @p152))
% 0.50/0.78  (step @p167 :rule cong :premises (@p166 @p151) :args ((tptp.greatest_lower_bound @t108 @t100)))
% 0.50/0.78  (step @p168 :rule symm :premises (@p75))
% 0.50/0.78  (step @p169 :rule cong :premises (@p156 @p141) :args (@t121))
% 0.50/0.78  (step @p170 :rule symm :premises (@p158))
% 0.50/0.78  (step @p171 :rule trans :premises (@p24 @p170 @p169))
% 0.50/0.78  (step @p172 :rule trans :premises (@p114 @p20))
% 0.50/0.78  (step @p173 :rule trans :premises (@p172 @p159))
% 0.50/0.78  (step @p174 :rule cong :premises (@p173 @p141) :args (@t53))
% 0.50/0.78  (step @p175 :rule trans :premises (@p174 @p158 @p155))
% 0.50/0.78  (step @p176 :rule cong :premises (@p125 @p175) :args ((tptp.multiply @t34 @t53)))
% 0.50/0.78  (step @p177 :rule symm :premises (@p176))
% 0.50/0.78  (step @p178 :rule cong :premises (@p125 @p16) :args (@t111))
% 0.50/0.78  (step @p179 :rule cong :premises (@p63) :args (@t34))
% 0.50/0.78  (step @p180 :rule trans :premises (@p179 @p71 @p178 @p177))
% 0.50/0.78  (step @p181 :rule trans :premises (@p180 @p176))
% 0.50/0.78  (step @p182 :rule cong :premises (@p181 @p171) :args (@t35))
% 0.50/0.78  (step @p183 :rule symm :premises (@p28))
% 0.50/0.78  (step @p184 :rule trans :premises (@p183 @p182 @p168))
% 0.50/0.78  (step @p185 :rule symm :premises (@p166))
% 0.50/0.78  (step @p186 :rule cong :premises (@p185 @p184) :args (@t49))
% 0.50/0.78  (step @p187 :rule cong :premises (@p153 @p28) :args ((tptp.greatest_lower_bound @t45 @t35)))
% 0.50/0.78  (step @p188 :rule trans :premises (@p187 @p186 @p167 @p150 @p149 @p69 @p147))
% 0.50/0.78  (step @p189 :rule symm :premises (@p187))
% 0.50/0.78  (step @p190 :rule trans :premises (@p189 @p188))
% 0.50/0.78  (step @p191 :rule cong :premises (@p190 @p138) :args (@t118))
% 0.50/0.78  (step @p192 :rule symm :premises (@p186))
% 0.50/0.78  (step @p193 :rule symm :premises (@p167))
% 0.50/0.78  (step @p194 :rule symm :premises (@p149))
% 0.50/0.78  (step @p195 :rule symm :premises (@p46))
% 0.50/0.78  (step @p196 :rule cong :premises (@p62 @p112) :args (@t77))
% 0.50/0.78  (step @p197 :rule trans :premises (@p196 @p195 @p20))
% 0.50/0.78  (step @p198 :rule trans :premises (@p197 @p16))
% 0.50/0.78  (step @p199 :rule cong :premises (@p198 @p139) :args (@t78))
% 0.50/0.78  (step @p200 :rule symm :premises (@p47))
% 0.50/0.78  (step @p201 :rule cong :premises (@p26) :args (@t29))
% 0.50/0.78  (step @p202 :rule trans :premises (@p20 @p201 @p41))
% 0.50/0.78  (step @p203 :rule cong :premises (@p143 @p202) :args (@t113))
% 0.50/0.78  (step @p204 :rule trans :premises (@p203 @p200 @p199 @p142 @p140 @p139 @p53))
% 0.50/0.78  (step @p205 :rule cong :premises (@p148 @p204) :args (@t114))
% 0.50/0.78  (step @p206 :rule symm :premises (@p57))
% 0.50/0.78  (step @p207 :rule cong :premises (@p206 @p53) :args (@t122))
% 0.50/0.78  (step @p208 :rule cong :premises (@p207 @p141) :args ((tptp.multiply @t122 tptp.identity)))
% 0.50/0.78  (step @p209 :rule trans :premises (@p208 @p72 @p205 @p194 @p68 @p193 @p192 @p74 @p191 @p132 @p130 @p49 @p129 @p122 @p20))
% 0.50/0.78  (step @p210 :rule symm :premises (@p208))
% 0.50/0.78  (step @p211 :rule symm :premises (@p72))
% 0.50/0.78  (step @p212 :rule symm :premises (@p205))
% 0.50/0.78  (step @p213 :rule trans :premises (@p207 @p212 @p211 @p210))
% 0.50/0.78  (step @p214 :rule trans :premises (@p213 @p209 @p121))
% 0.50/0.78  (step @p215 :rule cong :premises (@p214 @p112) :args ((tptp.multiply @t122 @t33)))
% 0.50/0.78  (step @p216 :rule symm :premises (@p207))
% 0.50/0.78  (step @p217 :rule cong :premises (@p216 @p112) :args (@t116))
% 0.50/0.78  (step @p218 :rule symm :premises (@p73))
% 0.50/0.78  (step @p219 :rule cong :premises (@p53 @p112) :args (@t77))
% 0.50/0.78  (step @p220 :rule symm :premises (@p196))
% 0.50/0.78  (step @p221 :rule trans :premises (@p46 @p220 @p219))
% 0.50/0.78  (step @p222 :rule cong :premises (@p148 @p221) :args (@t100))
% 0.50/0.78  (step @p223 :rule trans :premises (@p182 @p168 @p222 @p218 @p217 @p215 @p120 @p113 @p111))
% 0.50/0.78  (step-pop @p300 :rule scope :premises (@p223))
% 0.50/0.78  (step-pop @p301 :rule scope :premises (@p300))
% 0.50/0.78  (step-pop @p302 :rule scope :premises (@p301))
% 0.50/0.78  (step-pop @p303 :rule scope :premises (@p302))
% 0.50/0.78  (step-pop @p304 :rule scope :premises (@p303))
% 0.50/0.78  (step-pop @p305 :rule scope :premises (@p304))
% 0.50/0.78  (step-pop @p306 :rule scope :premises (@p305))
% 0.50/0.78  (step-pop @p307 :rule scope :premises (@p306))
% 0.50/0.78  (step-pop @p308 :rule scope :premises (@p307))
% 0.50/0.78  (step-pop @p309 :rule scope :premises (@p308))
% 0.50/0.78  (step-pop @p310 :rule scope :premises (@p309))
% 0.50/0.78  (step-pop @p311 :rule scope :premises (@p310))
% 0.50/0.78  (step-pop @p312 :rule scope :premises (@p311))
% 0.50/0.78  (step-pop @p313 :rule scope :premises (@p312))
% 0.50/0.78  (step-pop @p314 :rule scope :premises (@p313))
% 0.50/0.78  (step-pop @p315 :rule scope :premises (@p314))
% 0.50/0.78  (step-pop @p316 :rule scope :premises (@p315))
% 0.50/0.78  (step-pop @p317 :rule scope :premises (@p316))
% 0.50/0.78  (step-pop @p318 :rule scope :premises (@p317))
% 0.50/0.78  (step-pop @p319 :rule scope :premises (@p318))
% 0.50/0.78  (step-pop @p320 :rule scope :premises (@p319))
% 0.50/0.78  (step-pop @p321 :rule scope :premises (@p320))
% 0.50/0.78  (step-pop @p322 :rule scope :premises (@p321))
% 0.50/0.78  (step-pop @p323 :rule scope :premises (@p322))
% 0.50/0.78  (step-pop @p324 :rule scope :premises (@p323))
% 0.50/0.78  (step-pop @p325 :rule scope :premises (@p324))
% 0.50/0.78  (step-pop @p326 :rule scope :premises (@p325))
% 0.50/0.78  (step-pop @p327 :rule scope :premises (@p326))
% 0.50/0.78  (step-pop @p328 :rule scope :premises (@p327))
% 0.50/0.78  (step-pop @p329 :rule scope :premises (@p328))
% 0.50/0.78  (step-pop @p330 :rule scope :premises (@p329))
% 0.50/0.78  (step-pop @p331 :rule scope :premises (@p330))
% 0.50/0.78  (step-pop @p332 :rule scope :premises (@p331))
% 0.50/0.78  (step-pop @p333 :rule scope :premises (@p332))
% 0.50/0.78  (step-pop @p334 :rule scope :premises (@p333))
% 0.50/0.78  (step @p224 :rule process_scope :premises (@p334) :args (@t36))
% 0.50/0.78  (step @p260 :rule implies_elim :premises (@p224))
% 0.50/0.78  (step @p261 :rule cnf_and_neg :args (@t123))
% 0.50/0.78  (step @p262 :rule resolution :premises (@p261 @p260) :args (true @t123))
% 0.50/0.78  (step @p263 :rule reordering :premises (@p262) :args ((or @t36 (not @t54) (not @t55) (not @t56) (not @t58) (not @t59) (not @t60) (not @t62) (not @t64) (not @t65) (not @t66) (not @t69) (not @t72) (not @t74) (not @t75) (not @t76) (not @t79) (not @t82) (not @t85) (not @t86) (not @t88) (not @t91) (not @t92) (not @t94) (not @t95) (not @t96) (not @t98) (not @t99) (not @t102) (not @t107) (not @t110) (not @t112) (not @t115) (not @t117) (not @t119) (not @t120))))
% 0.50/0.78  (step @p264 false :rule chain_m_resolution :premises (@p263 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p58 @p57 @p53 @p49 @p48 @p47 @p46 @p45 @p41 @p40 @p39 @p38 @p37 @p36 @p32 @p28 @p27 @p26 @p25 @p24 @p19 @p20) :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 true false) (@list @t120 @t119 @t117 @t115 @t112 @t110 @t107 @t102 @t99 @t98 @t96 @t95 @t94 @t92 @t91 @t88 @t86 @t85 @t82 @t79 @t76 @t75 @t74 @t72 @t69 @t66 @t65 @t64 @t62 @t60 @t59 @t58 @t56 @t55 @t36 @t54)))
% 0.50/0.78  )
% 0.50/0.78  % SZS output end Proof
% 0.50/0.78  % cvc5 exiting
%------------------------------------------------------------------------------