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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI597_1 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:07:56 AM UTC 2026

% Result   : Theorem 105.47s 105.71s
% Output   : Proof 105.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI597_1 : TPTP v9.2.1. Released v5.1.0.
% 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 : n018.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 : Wed Jun  3 02:29:50 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_ARI
% 105.47/105.71  --- Run --finite-model-find --decision=internal at 45...
% 105.47/105.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 105.47/105.71  --- Run --no-e-matching --full-saturate-quant at 45...
% 105.47/105.71  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45...
% 105.47/105.71  % SZS status Theorem
% 105.47/105.71  % SZS output start Proof
% 105.47/105.71  (
% 105.47/105.71  (declare-const tptp.a Int)
% 105.47/105.71  (declare-const tptp.b Int)
% 105.47/105.71  (declare-const tptp.p (-> Int Bool))
% 105.47/105.71  (define @t1 () (@var "X" Int))
% 105.47/105.71  (define @t2 () (tptp.p (* 2 @t1)))
% 105.47/105.71  (define @t3 () (@list @t1))
% 105.47/105.71  (define @t4 () (exists @t3 @t2))
% 105.47/105.71  (define @t5 () (+ tptp.a tptp.b))
% 105.47/105.71  (define @t6 () (tptp.p @t5))
% 105.47/105.71  (define @t7 () (tptp.p tptp.b))
% 105.47/105.71  (define @t8 () (tptp.p tptp.a))
% 105.47/105.71  (define @t9 () (and @t8 @t7 @t6))
% 105.47/105.71  (define @t10 () (=> @t9 @t4))
% 105.47/105.71  (define @t11 () (not @t10))
% 105.47/105.71  (define @t12 () (div_total tptp.a 2))
% 105.47/105.71  (define @t13 () (@purify @t12))
% 105.47/105.71  (define @t14 () (* -2 @t13))
% 105.47/105.71  (define @t15 () (+ tptp.a @t14))
% 105.47/105.71  (define @t16 () (* 2 @t13))
% 105.47/105.71  (define @t17 () (+ 2 @t16))
% 105.47/105.71  (define @t18 () (>= @t15 2))
% 105.47/105.71  (define @t19 () (+ 1 @t13))
% 105.47/105.71  (define @t20 () (+ @t13 1))
% 105.47/105.71  (define @t21 () (* 2 @t20))
% 105.47/105.71  (define @t22 () (>= tptp.a @t21))
% 105.47/105.71  (define @t23 () (* 1 (- @t15 0)))
% 105.47/105.71  (define @t24 () (* 1 (- tptp.a @t16)))
% 105.47/105.71  (define @t25 () (>= @t15 0))
% 105.47/105.71  (define @t26 () (div_total tptp.b 2))
% 105.47/105.71  (define @t27 () (@purify @t26))
% 105.47/105.71  (define @t28 () (* -2 @t27))
% 105.47/105.71  (define @t29 () (+ tptp.b @t28))
% 105.47/105.71  (define @t30 () (* 2 @t27))
% 105.47/105.71  (define @t31 () (+ 2 @t30))
% 105.47/105.71  (define @t32 () (>= @t29 2))
% 105.47/105.71  (define @t33 () (+ 1 @t27))
% 105.47/105.71  (define @t34 () (+ @t27 1))
% 105.47/105.71  (define @t35 () (* 2 @t34))
% 105.47/105.71  (define @t36 () (>= tptp.b @t35))
% 105.47/105.71  (define @t37 () (* 1 (- @t29 0)))
% 105.47/105.71  (define @t38 () (* 1 (- tptp.b @t30)))
% 105.47/105.71  (define @t39 () (>= @t29 0))
% 105.47/105.71  (define @t40 () (div_total @t5 2))
% 105.47/105.71  (define @t41 () (@purify @t40))
% 105.47/105.71  (define @t42 () (* -2 @t41))
% 105.47/105.71  (define @t43 () (+ tptp.a tptp.b @t42))
% 105.47/105.71  (define @t44 () (* 2 @t41))
% 105.47/105.71  (define @t45 () (+ 2 @t44))
% 105.47/105.71  (define @t46 () (>= @t43 2))
% 105.47/105.71  (define @t47 () (+ 1 @t41))
% 105.47/105.71  (define @t48 () (+ @t41 1))
% 105.47/105.71  (define @t49 () (* 2 @t48))
% 105.47/105.71  (define @t50 () (>= @t5 @t49))
% 105.47/105.71  (define @t51 () (* 1 (- @t43 0)))
% 105.47/105.71  (define @t52 () (* 1 (- @t5 @t44)))
% 105.47/105.71  (define @t53 () (>= @t43 0))
% 105.47/105.71  (define @t54 () (forall @t3 (not @t2)))
% 105.47/105.71  (define @t55 () (* 2 @t12))
% 105.47/105.71  (define @t56 () (tptp.p @t55))
% 105.47/105.71  (define @t57 () (not @t56))
% 105.47/105.71  (define @t58 () (tptp.p @t16))
% 105.47/105.71  (define @t59 () (not @t58))
% 105.47/105.71  (define @t60 () (@list false))
% 105.47/105.71  (define @t61 () (@list @t54))
% 105.47/105.71  (define @t62 () (= tptp.a @t16))
% 105.47/105.71  (define @t63 () (not @t62))
% 105.47/105.71  (define @t64 () (not @t8))
% 105.47/105.71  (define @t65 () (= false true))
% 105.47/105.71  (define @t66 () (and @t8 @t62 @t59))
% 105.47/105.71  (define @t67 () (@list false true))
% 105.47/105.71  (define @t68 () (>= @t15 1))
% 105.47/105.71  (define @t69 () (not @t25))
% 105.47/105.71  (define @t70 () (= @t15 0))
% 105.47/105.71  (define @t71 () (and @t25 @t63))
% 105.47/105.71  (define @t72 () (* 2 @t26))
% 105.47/105.71  (define @t73 () (tptp.p @t72))
% 105.47/105.71  (define @t74 () (not @t73))
% 105.47/105.71  (define @t75 () (tptp.p @t30))
% 105.47/105.71  (define @t76 () (not @t75))
% 105.47/105.71  (define @t77 () (= tptp.b @t30))
% 105.47/105.71  (define @t78 () (not @t77))
% 105.47/105.71  (define @t79 () (not @t7))
% 105.47/105.71  (define @t80 () (and @t7 @t77 @t76))
% 105.47/105.71  (define @t81 () (>= @t29 1))
% 105.47/105.71  (define @t82 () (not @t39))
% 105.47/105.71  (define @t83 () (= @t29 0))
% 105.47/105.71  (define @t84 () (and @t39 @t78))
% 105.47/105.71  (define @t85 () (* 2 @t40))
% 105.47/105.71  (define @t86 () (tptp.p @t85))
% 105.47/105.71  (define @t87 () (not @t86))
% 105.47/105.71  (define @t88 () (tptp.p @t44))
% 105.47/105.71  (define @t89 () (not @t88))
% 105.47/105.71  (define @t90 () (+ (* -1 tptp.b) @t44))
% 105.47/105.71  (define @t91 () (= tptp.a @t90))
% 105.47/105.71  (define @t92 () (not @t91))
% 105.47/105.71  (define @t93 () (not @t6))
% 105.47/105.71  (define @t94 () (= @t5 @t44))
% 105.47/105.71  (define @t95 () (* 1 (- tptp.a @t90)))
% 105.47/105.71  (define @t96 () (and @t6 @t94 @t89))
% 105.47/105.71  (define @t97 () (>= @t43 1))
% 105.47/105.71  (define @t98 () (not @t53))
% 105.47/105.71  (define @t99 () (= @t43 0))
% 105.47/105.71  (define @t100 () (and @t53 @t92))
% 105.47/105.71  (define @t101 () (not @t97))
% 105.47/105.71  (define @t102 () (not @t81))
% 105.47/105.71  (define @t103 () (not @t68))
% 105.47/105.71  (define @t104 () (not @t46))
% 105.47/105.71  (define @t105 () (not @t32))
% 105.47/105.71  (define @t106 () (not @t18))
% 105.47/105.71  (define @t107 () (+ @t13 @t27 (* -1 @t41)))
% 105.47/105.71  (define @t108 () (+ 2 @t16 @t30 @t42))
% 105.47/105.71  (define @t109 () (+ 1 @t30))
% 105.47/105.71  (define @t110 () (+ 1 @t16))
% 105.47/105.71  (define @t111 () (* -1 (+ -1 @t28)))
% 105.47/105.71  (define @t112 () (* -1 (+ -1 @t14)))
% 105.47/105.71  (define @t113 () (+ @t112 @t111 @t42))
% 105.47/105.71  (define @t114 () (>= @t113 2))
% 105.47/105.71  (define @t115 () (+ 1 1))
% 105.47/105.71  (define @t116 () (>= @t29 @t115))
% 105.47/105.71  (define @t117 () (not (> @t29 1)))
% 105.47/105.71  (define @t118 () (>= @t15 @t115))
% 105.47/105.71  (define @t119 () (not (> @t15 1)))
% 105.47/105.71  (define @t120 () (to_int -1/2))
% 105.47/105.71  (define @t121 () (to_real @t107))
% 105.47/105.71  (define @t122 () (and @t106 @t68 @t105 @t81 @t104 @t97))
% 105.47/105.71  (assume @p1 @t11)
% 105.47/105.71  (assume @p2 true)
% 105.47/105.71  (step @p3 :rule arith_poly_norm :args ((= (* -2 (- tptp.a @t17)) (* -2 (- @t15 2)))))
% 105.47/105.71  (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= tptp.a @t17) @t18)))
% 105.47/105.71  (step @p5 :rule arith_poly_norm :args ((= (* 2 @t19) @t17)))
% 105.47/105.71  (step @p6 :rule arith_poly_norm :args ((= @t20 @t19)))
% 105.47/105.71  (step @p7 :rule refl :args (2))
% 105.47/105.71  (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t21))
% 105.47/105.71  (step @p9 :rule trans :premises (@p8 @p5))
% 105.47/105.71  (step @p10 :rule refl :args (tptp.a))
% 105.47/105.71  (step @p11 :rule cong :premises (@p10 @p9) :args (@t22))
% 105.47/105.71  (step @p12 :rule trans :premises (@p11 @p4))
% 105.47/105.71  (step @p13 :rule cong :premises (@p12) :args ((not @t22)))
% 105.47/105.71  (step @p14 :rule arith-elim-lt :args (tptp.a @t21))
% 105.47/105.71  (step @p15 :rule trans :premises (@p14 @p13))
% 105.47/105.71  (step @p16 :rule arith_poly_norm :args ((= @t24 @t23)))
% 105.47/105.71  (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= tptp.a @t16) @t25)))
% 105.47/105.72  (step @p18 :rule arith-elim-leq :args (@t16 tptp.a))
% 105.47/105.72  (step @p19 :rule trans :premises (@p18 @p17))
% 105.47/105.72  (step @p20 :rule nary_cong :premises (@p19 @p15) :args ((and (<= @t16 tptp.a) (< tptp.a @t21))))
% 105.47/105.72  (step @p21 :rule arith_reduction :args (@t12))
% 105.47/105.72  (step @p22 :rule and_elim :premises (@p21) :args (1))
% 105.47/105.72  (step @p23 :rule eq_resolve :premises (@p22 @p20))
% 105.47/105.72  (step @p24 :rule and_elim :premises (@p23) :args (1))
% 105.47/105.72  (step @p25 :rule arith_poly_norm :args ((= (* -2 (- tptp.b @t31)) (* -2 (- @t29 2)))))
% 105.47/105.72  (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (>= tptp.b @t31) @t32)))
% 105.47/105.72  (step @p27 :rule arith_poly_norm :args ((= (* 2 @t33) @t31)))
% 105.47/105.72  (step @p28 :rule arith_poly_norm :args ((= @t34 @t33)))
% 105.47/105.72  (step @p29 :rule nary_cong :premises (@p7 @p28) :args (@t35))
% 105.47/105.72  (step @p30 :rule trans :premises (@p29 @p27))
% 105.47/105.72  (step @p31 :rule refl :args (tptp.b))
% 105.47/105.72  (step @p32 :rule cong :premises (@p31 @p30) :args (@t36))
% 105.47/105.72  (step @p33 :rule trans :premises (@p32 @p26))
% 105.47/105.72  (step @p34 :rule cong :premises (@p33) :args ((not @t36)))
% 105.47/105.72  (step @p35 :rule arith-elim-lt :args (tptp.b @t35))
% 105.47/105.72  (step @p36 :rule trans :premises (@p35 @p34))
% 105.47/105.72  (step @p37 :rule arith_poly_norm :args ((= @t38 @t37)))
% 105.47/105.72  (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= tptp.b @t30) @t39)))
% 105.47/105.72  (step @p39 :rule arith-elim-leq :args (@t30 tptp.b))
% 105.47/105.72  (step @p40 :rule trans :premises (@p39 @p38))
% 105.47/105.72  (step @p41 :rule nary_cong :premises (@p40 @p36) :args ((and (<= @t30 tptp.b) (< tptp.b @t35))))
% 105.47/105.72  (step @p42 :rule arith_reduction :args (@t26))
% 105.47/105.72  (step @p43 :rule and_elim :premises (@p42) :args (1))
% 105.47/105.72  (step @p44 :rule eq_resolve :premises (@p43 @p41))
% 105.47/105.72  (step @p45 :rule and_elim :premises (@p44) :args (1))
% 105.47/105.72  (step @p46 :rule arith_poly_norm :args ((= (* -2 (- @t5 @t45)) (* -2 (- @t43 2)))))
% 105.47/105.72  (step @p47 :rule arith_poly_norm_rel :premises (@p46) :args ((= (>= @t5 @t45) @t46)))
% 105.47/105.72  (step @p48 :rule arith_poly_norm :args ((= (* 2 @t47) @t45)))
% 105.47/105.72  (step @p49 :rule arith_poly_norm :args ((= @t48 @t47)))
% 105.47/105.72  (step @p50 :rule nary_cong :premises (@p7 @p49) :args (@t49))
% 105.47/105.72  (step @p51 :rule trans :premises (@p50 @p48))
% 105.47/105.72  (step @p52 :rule refl :args (@t5))
% 105.47/105.72  (step @p53 :rule cong :premises (@p52 @p51) :args (@t50))
% 105.47/105.72  (step @p54 :rule trans :premises (@p53 @p47))
% 105.47/105.72  (step @p55 :rule cong :premises (@p54) :args ((not @t50)))
% 105.47/105.72  (step @p56 :rule arith-elim-lt :args (@t5 @t49))
% 105.47/105.72  (step @p57 :rule trans :premises (@p56 @p55))
% 105.47/105.72  (step @p58 :rule arith_poly_norm :args ((= @t52 @t51)))
% 105.47/105.72  (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= (>= @t5 @t44) @t53)))
% 105.47/105.72  (step @p60 :rule arith-elim-leq :args (@t44 @t5))
% 105.47/105.72  (step @p61 :rule trans :premises (@p60 @p59))
% 105.47/105.72  (step @p62 :rule nary_cong :premises (@p61 @p57) :args ((and (<= @t44 @t5) (< @t5 @t49))))
% 105.47/105.72  (step @p63 :rule arith_reduction :args (@t40))
% 105.47/105.72  (step @p64 :rule and_elim :premises (@p63) :args (1))
% 105.47/105.72  (step @p65 :rule eq_resolve :premises (@p64 @p62))
% 105.47/105.72  (step @p66 :rule and_elim :premises (@p65) :args (1))
% 105.47/105.72  (step @p67 :rule exists-elim :args ((= @t4 (not @t54))))
% 105.47/105.72  (step @p68 :rule refl :args (@t9))
% 105.47/105.72  (step @p69 :rule cong :premises (@p68 @p67) :args (@t10))
% 105.47/105.72  (step @p70 :rule cong :premises (@p69) :args (@t11))
% 105.47/105.72  (step @p71 :rule eq_resolve :premises (@p1 @p70))
% 105.47/105.72  (step @p72 :rule not_implies_elim2 :premises (@p71))
% 105.47/105.72  (step @p73 :rule not_not_elim :premises (@p72))
% 105.47/105.72  (step @p74 :rule and_elim :premises (@p21) :args (0))
% 105.47/105.72  (step @p75 :rule nary_cong :premises (@p7 @p74) :args (@t55))
% 105.47/105.72  (step @p76 :rule cong :premises (@p75) :args (@t56))
% 105.47/105.72  (step @p77 :rule cong :premises (@p76) :args (@t57))
% 105.47/105.72  (step @p78 :rule refl :args (@t54))
% 105.47/105.72  (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t54 @t57)))
% 105.47/105.72  (assume-push @p427 @t54)
% 105.47/105.72  (step @p81 :rule instantiate :premises (@p73) :args ((@list @t12)))
% 105.47/105.72  (step-pop @p428 :rule scope :premises (@p81))
% 105.47/105.72  (step @p82 :rule process_scope :premises (@p428) :args (@t57))
% 105.47/105.72  (step @p84 :rule eq_resolve :premises (@p82 @p79))
% 105.47/105.72  (step @p85 :rule implies_elim :premises (@p84))
% 105.47/105.72  (step @p86 :rule chain_m_resolution :premises (@p85 @p73) :args (@t59 @t60 @t61))
% 105.47/105.72  (step @p87 :rule not_implies_elim1 :premises (@p71))
% 105.47/105.72  (step @p88 :rule and_elim :premises (@p87) :args (0))
% 105.47/105.72  (step @p89 :rule refl :args (@t63))
% 105.47/105.72  (step @p90 :rule bool-double-not-elim :args (@t58))
% 105.47/105.72  (step @p91 :rule refl :args (@t64))
% 105.47/105.72  (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args ((or @t64 (not @t59) @t63)))
% 105.47/105.72  (assume-push @p429 @t8)
% 105.47/105.72  (assume-push @p430 @t62)
% 105.47/105.72  (assume-push @p431 @t59)
% 105.47/105.72  (step @p96 :rule evaluate :args (@t65))
% 105.47/105.72  (step @p97 :rule true_intro :premises (@p88))
% 105.47/105.72  (step @p98 :rule symm :premises (@p430))
% 105.47/105.72  (step @p99 :rule cong :premises (@p98) :args (@t58))
% 105.47/105.72  (step @p100 :rule false_intro :premises (@p86))
% 105.47/105.72  (step @p101 :rule symm :premises (@p100))
% 105.47/105.72  (step @p102 :rule trans :premises (@p101 @p99 @p97))
% 105.47/105.72  (step @p103 false :rule eq_resolve :premises (@p102 @p96))
% 105.47/105.72  (step-pop @p432 :rule scope :premises (@p103))
% 105.47/105.72  (step-pop @p433 :rule scope :premises (@p432))
% 105.47/105.72  (step-pop @p434 :rule scope :premises (@p433))
% 105.47/105.72  (step @p104 :rule process_scope :premises (@p434) :args (false))
% 105.47/105.72  (assume-push @p435 @t8)
% 105.47/105.72  (assume-push @p436 @t59)
% 105.47/105.72  (assume-push @p437 @t62)
% 105.47/105.72  (step @p111 :rule and_intro :premises (@p88 @p437 @p86))
% 105.47/105.72  (step-pop @p438 :rule scope :premises (@p111))
% 105.47/105.72  (step-pop @p439 :rule scope :premises (@p438))
% 105.47/105.72  (step-pop @p440 :rule scope :premises (@p439))
% 105.47/105.72  (step @p112 :rule process_scope :premises (@p440) :args (@t66))
% 105.47/105.72  (step @p116 :rule implies_elim :premises (@p112))
% 105.47/105.72  (step @p117 :rule resolution :premises (@p116 @p104) :args (true @t66))
% 105.47/105.72  (step @p118 :rule not_and :premises (@p117))
% 105.47/105.72  (step @p119 :rule eq_resolve :premises (@p118 @p92))
% 105.47/105.72  (step @p120 :rule chain_m_resolution :premises (@p119 @p88 @p86) :args (@t63 @t67 (@list @t8 @t58)))
% 105.47/105.72  (step @p121 :rule and_elim :premises (@p23) :args (0))
% 105.47/105.72  (step @p122 :rule refl :args (@t68))
% 105.47/105.72  (step @p123 :rule bool-double-not-elim :args (@t62))
% 105.47/105.72  (step @p124 :rule refl :args (@t69))
% 105.47/105.72  (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or @t69 (not @t63) @t68)))
% 105.47/105.72  (assume-push @p441 @t25)
% 105.47/105.72  (assume-push @p442 @t63)
% 105.47/105.72  (assume-push @p443 @t25)
% 105.47/105.72  (assume-push @p444 @t63)
% 105.47/105.72  (step @p130 :rule arith_poly_norm :args ((= @t23 @t24)))
% 105.47/105.72  (step @p131 :rule arith_poly_norm_rel :premises (@p130) :args ((= @t70 @t62)))
% 105.47/105.72  (step @p132 :rule cong :premises (@p131) :args ((not @t70)))
% 105.47/105.72  (step @p133 :rule symm :premises (@p132))
% 105.47/105.72  (step @p134 :rule eq_resolve :premises (@p442 @p133))
% 105.47/105.72  (step @p135 :rule arith_trichotomy :premises (@p121 @p134))
% 105.47/105.72  (step @p136 :rule int_tight_lb :premises (@p135))
% 105.47/105.72  (step-pop @p445 :rule scope :premises (@p136))
% 105.47/105.72  (step-pop @p446 :rule scope :premises (@p445))
% 105.47/105.72  (step @p137 :rule process_scope :premises (@p446) :args (@t68))
% 105.47/105.72  (step @p140 :rule and_intro :premises (@p121 @p442))
% 105.47/105.72  (step @p141 :rule modus_ponens :premises (@p140 @p137))
% 105.47/105.72  (step-pop @p447 :rule scope :premises (@p141))
% 105.47/105.72  (step-pop @p448 :rule scope :premises (@p447))
% 105.47/105.72  (step @p142 :rule process_scope :premises (@p448) :args (@t68))
% 105.47/105.72  (step @p145 :rule implies_elim :premises (@p142))
% 105.47/105.72  (step @p146 :rule cnf_and_neg :args (@t71))
% 105.47/105.72  (step @p147 :rule resolution :premises (@p146 @p145) :args (true @t71))
% 105.47/105.72  (step @p148 :rule eq_resolve :premises (@p147 @p125))
% 105.47/105.72  (step @p149 :rule chain_m_resolution :premises (@p148 @p121 @p120) :args (@t68 @t67 (@list @t25 @t62)))
% 105.47/105.72  (step @p150 :rule and_elim :premises (@p42) :args (0))
% 105.47/105.72  (step @p151 :rule nary_cong :premises (@p7 @p150) :args (@t72))
% 105.47/105.72  (step @p152 :rule cong :premises (@p151) :args (@t73))
% 105.47/105.72  (step @p153 :rule cong :premises (@p152) :args (@t74))
% 105.47/105.72  (step @p154 :rule cong :premises (@p78 @p153) :args ((=> @t54 @t74)))
% 105.47/105.72  (assume-push @p449 @t54)
% 105.47/105.72  (step @p156 :rule instantiate :premises (@p73) :args ((@list @t26)))
% 105.47/105.72  (step-pop @p450 :rule scope :premises (@p156))
% 105.47/105.72  (step @p157 :rule process_scope :premises (@p450) :args (@t74))
% 105.47/105.72  (step @p159 :rule eq_resolve :premises (@p157 @p154))
% 105.47/105.72  (step @p160 :rule implies_elim :premises (@p159))
% 105.47/105.72  (step @p161 :rule chain_m_resolution :premises (@p160 @p73) :args (@t76 @t60 @t61))
% 105.47/105.72  (step @p162 :rule and_elim :premises (@p87) :args (1))
% 105.47/105.72  (step @p163 :rule refl :args (@t78))
% 105.47/105.72  (step @p164 :rule bool-double-not-elim :args (@t75))
% 105.47/105.72  (step @p165 :rule refl :args (@t79))
% 105.47/105.72  (step @p166 :rule nary_cong :premises (@p165 @p164 @p163) :args ((or @t79 (not @t76) @t78)))
% 105.47/105.72  (assume-push @p451 @t7)
% 105.47/105.72  (assume-push @p452 @t77)
% 105.47/105.72  (assume-push @p453 @t76)
% 105.47/105.72  (step @p96 :rule evaluate :args (@t65))
% 105.47/105.72  (step @p170 :rule true_intro :premises (@p162))
% 105.47/105.72  (step @p171 :rule symm :premises (@p452))
% 105.47/105.72  (step @p172 :rule cong :premises (@p171) :args (@t75))
% 105.47/105.72  (step @p173 :rule false_intro :premises (@p161))
% 105.47/105.72  (step @p174 :rule symm :premises (@p173))
% 105.47/105.72  (step @p175 :rule trans :premises (@p174 @p172 @p170))
% 105.47/105.72  (step @p176 false :rule eq_resolve :premises (@p175 @p96))
% 105.47/105.72  (step-pop @p454 :rule scope :premises (@p176))
% 105.47/105.72  (step-pop @p455 :rule scope :premises (@p454))
% 105.47/105.72  (step-pop @p456 :rule scope :premises (@p455))
% 105.47/105.72  (step @p177 :rule process_scope :premises (@p456) :args (false))
% 105.47/105.72  (assume-push @p457 @t7)
% 105.47/105.72  (assume-push @p458 @t76)
% 105.47/105.72  (assume-push @p459 @t77)
% 105.47/105.72  (step @p184 :rule and_intro :premises (@p162 @p459 @p161))
% 105.47/105.72  (step-pop @p460 :rule scope :premises (@p184))
% 105.47/105.72  (step-pop @p461 :rule scope :premises (@p460))
% 105.47/105.72  (step-pop @p462 :rule scope :premises (@p461))
% 105.47/105.72  (step @p185 :rule process_scope :premises (@p462) :args (@t80))
% 105.47/105.72  (step @p189 :rule implies_elim :premises (@p185))
% 105.47/105.72  (step @p190 :rule resolution :premises (@p189 @p177) :args (true @t80))
% 105.47/105.72  (step @p191 :rule not_and :premises (@p190))
% 105.47/105.72  (step @p192 :rule eq_resolve :premises (@p191 @p166))
% 105.47/105.72  (step @p193 :rule chain_m_resolution :premises (@p192 @p162 @p161) :args (@t78 @t67 (@list @t7 @t75)))
% 105.47/105.72  (step @p194 :rule and_elim :premises (@p44) :args (0))
% 105.47/105.72  (step @p195 :rule refl :args (@t81))
% 105.47/105.72  (step @p196 :rule bool-double-not-elim :args (@t77))
% 105.47/105.72  (step @p197 :rule refl :args (@t82))
% 105.47/105.72  (step @p198 :rule nary_cong :premises (@p197 @p196 @p195) :args ((or @t82 (not @t78) @t81)))
% 105.47/105.72  (assume-push @p463 @t39)
% 105.47/105.72  (assume-push @p464 @t78)
% 105.47/105.72  (assume-push @p465 @t39)
% 105.47/105.72  (assume-push @p466 @t78)
% 105.47/105.72  (step @p203 :rule arith_poly_norm :args ((= @t37 @t38)))
% 105.47/105.72  (step @p204 :rule arith_poly_norm_rel :premises (@p203) :args ((= @t83 @t77)))
% 105.47/105.72  (step @p205 :rule cong :premises (@p204) :args ((not @t83)))
% 105.47/105.72  (step @p206 :rule symm :premises (@p205))
% 105.47/105.72  (step @p207 :rule eq_resolve :premises (@p464 @p206))
% 105.47/105.72  (step @p208 :rule arith_trichotomy :premises (@p194 @p207))
% 105.47/105.72  (step @p209 :rule int_tight_lb :premises (@p208))
% 105.47/105.72  (step-pop @p467 :rule scope :premises (@p209))
% 105.47/105.72  (step-pop @p468 :rule scope :premises (@p467))
% 105.47/105.72  (step @p210 :rule process_scope :premises (@p468) :args (@t81))
% 105.47/105.72  (step @p213 :rule and_intro :premises (@p194 @p464))
% 105.47/105.72  (step @p214 :rule modus_ponens :premises (@p213 @p210))
% 105.47/105.72  (step-pop @p469 :rule scope :premises (@p214))
% 105.47/105.72  (step-pop @p470 :rule scope :premises (@p469))
% 105.47/105.72  (step @p215 :rule process_scope :premises (@p470) :args (@t81))
% 105.47/105.72  (step @p218 :rule implies_elim :premises (@p215))
% 105.47/105.72  (step @p219 :rule cnf_and_neg :args (@t84))
% 105.47/105.72  (step @p220 :rule resolution :premises (@p219 @p218) :args (true @t84))
% 105.47/105.72  (step @p221 :rule eq_resolve :premises (@p220 @p198))
% 105.47/105.72  (step @p222 :rule chain_m_resolution :premises (@p221 @p194 @p193) :args (@t81 @t67 (@list @t39 @t77)))
% 105.47/105.72  (step @p223 :rule and_elim :premises (@p63) :args (0))
% 105.47/105.72  (step @p224 :rule nary_cong :premises (@p7 @p223) :args (@t85))
% 105.47/105.72  (step @p225 :rule cong :premises (@p224) :args (@t86))
% 105.47/105.72  (step @p226 :rule cong :premises (@p225) :args (@t87))
% 105.47/105.72  (step @p227 :rule cong :premises (@p78 @p226) :args ((=> @t54 @t87)))
% 105.47/105.72  (assume-push @p471 @t54)
% 105.47/105.72  (step @p229 :rule instantiate :premises (@p73) :args ((@list @t40)))
% 105.47/105.72  (step-pop @p472 :rule scope :premises (@p229))
% 105.47/105.72  (step @p230 :rule process_scope :premises (@p472) :args (@t87))
% 105.47/105.72  (step @p232 :rule eq_resolve :premises (@p230 @p227))
% 105.47/105.72  (step @p233 :rule implies_elim :premises (@p232))
% 105.47/105.72  (step @p234 :rule chain_m_resolution :premises (@p233 @p73) :args (@t89 @t60 @t61))
% 105.47/105.72  (step @p235 :rule and_elim :premises (@p87) :args (2))
% 105.47/105.72  (step @p236 :rule refl :args (@t92))
% 105.47/105.72  (step @p237 :rule bool-double-not-elim :args (@t88))
% 105.47/105.72  (step @p238 :rule refl :args (@t93))
% 105.47/105.72  (step @p239 :rule nary_cong :premises (@p238 @p237 @p236) :args ((or @t93 (not @t89) @t92)))
% 105.47/105.72  (assume-push @p473 @t6)
% 105.47/105.72  (assume-push @p474 @t94)
% 105.47/105.72  (assume-push @p475 @t89)
% 105.47/105.72  (step @p96 :rule evaluate :args (@t65))
% 105.47/105.72  (step @p243 :rule true_intro :premises (@p235))
% 105.47/105.72  (step @p244 :rule symm :premises (@p474))
% 105.47/105.72  (step @p245 :rule cong :premises (@p244) :args (@t88))
% 105.47/105.72  (step @p246 :rule false_intro :premises (@p234))
% 105.47/105.72  (step @p247 :rule symm :premises (@p246))
% 105.47/105.72  (step @p248 :rule trans :premises (@p247 @p245 @p243))
% 105.47/105.72  (step @p249 false :rule eq_resolve :premises (@p248 @p96))
% 105.47/105.72  (step-pop @p476 :rule scope :premises (@p249))
% 105.47/105.72  (step-pop @p477 :rule scope :premises (@p476))
% 105.47/105.72  (step-pop @p478 :rule scope :premises (@p477))
% 105.47/105.72  (step @p250 :rule process_scope :premises (@p478) :args (false))
% 105.47/105.72  (assume-push @p479 @t6)
% 105.47/105.72  (assume-push @p480 @t89)
% 105.47/105.72  (assume-push @p481 @t91)
% 105.47/105.72  (step @p257 :rule arith_poly_norm :args ((= @t52 @t95)))
% 105.47/105.72  (step @p258 :rule arith_poly_norm_rel :premises (@p257) :args ((= @t94 @t91)))
% 105.47/105.72  (step @p259 :rule symm :premises (@p258))
% 105.47/105.72  (step @p260 :rule eq_resolve :premises (@p481 @p259))
% 105.47/105.72  (step @p261 :rule and_intro :premises (@p235 @p260 @p234))
% 105.47/105.72  (step-pop @p482 :rule scope :premises (@p261))
% 105.47/105.72  (step-pop @p483 :rule scope :premises (@p482))
% 105.47/105.72  (step-pop @p484 :rule scope :premises (@p483))
% 105.47/105.72  (step @p262 :rule process_scope :premises (@p484) :args (@t96))
% 105.47/105.72  (step @p266 :rule implies_elim :premises (@p262))
% 105.47/105.72  (step @p267 :rule resolution :premises (@p266 @p250) :args (true @t96))
% 105.47/105.72  (step @p268 :rule not_and :premises (@p267))
% 105.47/105.72  (step @p269 :rule eq_resolve :premises (@p268 @p239))
% 105.47/105.72  (step @p270 :rule chain_m_resolution :premises (@p269 @p235 @p234) :args (@t92 @t67 (@list @t6 @t88)))
% 105.47/105.72  (step @p271 :rule and_elim :premises (@p65) :args (0))
% 105.47/105.72  (step @p272 :rule refl :args (@t97))
% 105.47/105.72  (step @p273 :rule bool-double-not-elim :args (@t91))
% 105.47/105.72  (step @p274 :rule refl :args (@t98))
% 105.47/105.72  (step @p275 :rule nary_cong :premises (@p274 @p273 @p272) :args ((or @t98 (not @t92) @t97)))
% 105.47/105.72  (assume-push @p485 @t53)
% 105.47/105.72  (assume-push @p486 @t92)
% 105.47/105.72  (assume-push @p487 @t53)
% 105.47/105.72  (assume-push @p488 @t92)
% 105.47/105.72  (step @p280 :rule arith_poly_norm :args ((= @t51 @t95)))
% 105.47/105.72  (step @p281 :rule arith_poly_norm_rel :premises (@p280) :args ((= @t99 @t91)))
% 105.47/105.72  (step @p282 :rule cong :premises (@p281) :args ((not @t99)))
% 105.47/105.72  (step @p283 :rule symm :premises (@p282))
% 105.47/105.72  (step @p284 :rule eq_resolve :premises (@p486 @p283))
% 105.47/105.72  (step @p285 :rule arith_trichotomy :premises (@p271 @p284))
% 105.47/105.72  (step @p286 :rule int_tight_lb :premises (@p285))
% 105.47/105.72  (step-pop @p489 :rule scope :premises (@p286))
% 105.47/105.72  (step-pop @p490 :rule scope :premises (@p489))
% 105.47/105.72  (step @p287 :rule process_scope :premises (@p490) :args (@t97))
% 105.47/105.72  (step @p290 :rule and_intro :premises (@p271 @p486))
% 105.47/105.72  (step @p291 :rule modus_ponens :premises (@p290 @p287))
% 105.47/105.72  (step-pop @p491 :rule scope :premises (@p291))
% 105.47/105.72  (step-pop @p492 :rule scope :premises (@p491))
% 105.47/105.72  (step @p292 :rule process_scope :premises (@p492) :args (@t97))
% 105.47/105.72  (step @p295 :rule implies_elim :premises (@p292))
% 105.47/105.72  (step @p296 :rule cnf_and_neg :args (@t100))
% 105.47/105.72  (step @p297 :rule resolution :premises (@p296 @p295) :args (true @t100))
% 105.47/105.72  (step @p298 :rule eq_resolve :premises (@p297 @p275))
% 105.47/105.72  (step @p299 :rule chain_m_resolution :premises (@p298 @p271 @p270) :args (@t97 @t67 (@list @t53 @t91)))
% 105.47/105.72  (step @p300 :rule refl :args (@t101))
% 105.47/105.72  (step @p301 :rule refl :args (@t102))
% 105.47/105.72  (step @p302 :rule refl :args (@t103))
% 105.47/105.72  (step @p303 :rule bool-double-not-elim :args (@t46))
% 105.47/105.72  (step @p304 :rule bool-double-not-elim :args (@t32))
% 105.47/105.72  (step @p305 :rule bool-double-not-elim :args (@t18))
% 105.47/105.72  (step @p306 :rule nary_cong :premises (@p305 @p304 @p303 @p302 @p301 @p300) :args ((or (not @t106) (not @t105) (not @t104) @t103 @t102 @t101)))
% 105.47/105.72  (assume-push @p493 @t106)
% 105.47/105.72  (assume-push @p494 @t68)
% 105.47/105.72  (assume-push @p495 @t105)
% 105.47/105.72  (assume-push @p496 @t81)
% 105.47/105.72  (assume-push @p497 @t104)
% 105.47/105.72  (assume-push @p498 @t97)
% 105.47/105.72  (step @p313 :rule arith_poly_norm :args ((= (* 1 (- @t108 2)) (* 2 (- @t107 0)))))
% 105.47/105.72  (step @p314 :rule arith_poly_norm_rel :premises (@p313) :args ((= (>= @t108 2) (>= @t107 0))))
% 105.47/105.72  (step @p315 :rule arith_poly_norm :args ((= (+ @t110 @t109 @t42) @t108)))
% 105.47/105.72  (step @p316 :rule refl :args (@t42))
% 105.47/105.72  (step @p317 :rule arith_poly_norm :args ((= @t111 @t109)))
% 105.47/105.72  (step @p318 :rule arith_poly_norm :args ((= @t112 @t110)))
% 105.47/105.72  (step @p319 :rule nary_cong :premises (@p318 @p317 @p316) :args (@t113))
% 105.47/105.72  (step @p320 :rule trans :premises (@p319 @p315))
% 105.47/105.72  (step @p321 :rule cong :premises (@p320 @p7) :args (@t114))
% 105.47/105.72  (step @p322 :rule trans :premises (@p321 @p314))
% 105.47/105.72  (step @p323 :rule cong :premises (@p322) :args ((not @t114)))
% 105.47/105.72  (step @p324 :rule cong :premises (@p31 @p317) :args ((= tptp.b @t111)))
% 105.47/105.72  (step @p325 :rule symm :premises (@p324))
% 105.47/105.72  (step @p326 :rule arith_poly_norm :args ((= (* -1 (- @t29 1)) (* -1 (- tptp.b @t109)))))
% 105.47/105.72  (step @p327 :rule arith_poly_norm_rel :premises (@p326) :args ((= (= @t29 1) (= tptp.b @t109))))
% 105.47/105.72  (step @p328 :rule trans :premises (@p327 @p325))
% 105.47/105.72  (step @p329 :rule eq-refl :args (@t105))
% 105.47/105.72  (step @p330 :rule evaluate :args (@t115))
% 105.47/105.72  (step @p331 :rule refl :args (@t29))
% 105.47/105.72  (step @p332 :rule cong :premises (@p331 @p330) :args (@t116))
% 105.47/105.72  (step @p333 :rule cong :premises (@p332) :args ((not @t116)))
% 105.47/105.72  (step @p334 :rule arith-leq-norm :args (@t29 1))
% 105.47/105.72  (step @p335 :rule trans :premises (@p334 @p333))
% 105.47/105.72  (step @p336 :rule cong :premises (@p335) :args ((not (<= @t29 1))))
% 105.47/105.72  (step @p337 :rule trans :premises (@p336 @p304))
% 105.47/105.72  (step @p338 :rule arith-elim-leq :args (@t29 1))
% 105.47/105.72  (step @p339 :rule symm :premises (@p338))
% 105.47/105.72  (step @p340 :rule cong :premises (@p339) :args ((not (>= 1 @t29))))
% 105.47/105.72  (step @p341 :rule arith-elim-gt :args (@t29 1))
% 105.47/105.72  (step @p342 :rule trans :premises (@p341 @p340))
% 105.47/105.72  (step @p343 :rule trans :premises (@p342 @p337))
% 105.47/105.72  (step @p344 :rule cong :premises (@p343) :args (@t117))
% 105.47/105.72  (step @p345 :rule refl :args (@t105))
% 105.47/105.72  (step @p346 :rule cong :premises (@p345 @p344) :args ((= @t105 @t117)))
% 105.47/105.72  (step @p347 :rule trans :premises (@p346 @p329))
% 105.47/105.72  (step @p348 :rule true_elim :premises (@p347))
% 105.47/105.72  (step @p349 :rule eq_resolve :premises (@p45 @p348))
% 105.47/105.72  (step @p350 :rule arith_trichotomy :premises (@p496 @p349))
% 105.47/105.72  (step @p351 :rule eq_resolve :premises (@p350 @p328))
% 105.47/105.72  (step @p352 :rule cong :premises (@p10 @p318) :args ((= tptp.a @t112)))
% 105.47/105.72  (step @p353 :rule symm :premises (@p352))
% 105.47/105.72  (step @p354 :rule arith_poly_norm :args ((= (* -1 (- @t15 1)) (* -1 (- tptp.a @t110)))))
% 105.47/105.72  (step @p355 :rule arith_poly_norm_rel :premises (@p354) :args ((= (= @t15 1) (= tptp.a @t110))))
% 105.47/105.72  (step @p356 :rule trans :premises (@p355 @p353))
% 105.47/105.72  (step @p357 :rule eq-refl :args (@t106))
% 105.47/105.72  (step @p358 :rule refl :args (@t15))
% 105.47/105.72  (step @p359 :rule cong :premises (@p358 @p330) :args (@t118))
% 105.47/105.72  (step @p360 :rule cong :premises (@p359) :args ((not @t118)))
% 105.47/105.72  (step @p361 :rule arith-leq-norm :args (@t15 1))
% 105.47/105.72  (step @p362 :rule trans :premises (@p361 @p360))
% 105.47/105.72  (step @p363 :rule cong :premises (@p362) :args ((not (<= @t15 1))))
% 105.47/105.72  (step @p364 :rule trans :premises (@p363 @p305))
% 105.47/105.72  (step @p365 :rule arith-elim-leq :args (@t15 1))
% 105.47/105.72  (step @p366 :rule symm :premises (@p365))
% 105.47/105.72  (step @p367 :rule cong :premises (@p366) :args ((not (>= 1 @t15))))
% 105.47/105.72  (step @p368 :rule arith-elim-gt :args (@t15 1))
% 105.47/105.72  (step @p369 :rule trans :premises (@p368 @p367))
% 105.47/105.72  (step @p370 :rule trans :premises (@p369 @p364))
% 105.47/105.72  (step @p371 :rule cong :premises (@p370) :args (@t119))
% 105.47/105.72  (step @p372 :rule refl :args (@t106))
% 105.47/105.72  (step @p373 :rule cong :premises (@p372 @p371) :args ((= @t106 @t119)))
% 105.47/105.72  (step @p374 :rule trans :premises (@p373 @p357))
% 105.47/105.72  (step @p375 :rule true_elim :premises (@p374))
% 105.47/105.72  (step @p376 :rule eq_resolve :premises (@p24 @p375))
% 105.47/105.72  (step @p377 :rule arith_trichotomy :premises (@p494 @p376))
% 105.47/105.72  (step @p378 :rule eq_resolve :premises (@p377 @p356))
% 105.47/105.72  (step @p379 :rule nary_cong :premises (@p378 @p351 @p316) :args (@t43))
% 105.47/105.72  (step @p380 :rule cong :premises (@p379 @p7) :args (@t46))
% 105.47/105.72  (step @p381 :rule cong :premises (@p380) :args (@t104))
% 105.47/105.72  (step @p382 :rule eq_resolve :premises (@p66 @p381))
% 105.47/105.72  (step @p383 :rule eq_resolve :premises (@p382 @p323))
% 105.47/105.72  (step @p384 :rule evaluate :args ((+ @t120 1)))
% 105.47/105.72  (step @p385 :rule symm :premises (@p384))
% 105.47/105.72  (step @p386 :rule evaluate :args ((= (to_real @t120) -1/2)))
% 105.47/105.72  (step @p387 :rule arith-int-geq-tighten :premises (@p386 @p385) :args (@t107 -1/2 0))
% 105.47/105.72  (step @p388 :rule arith_poly_norm :args ((= (* 1/2 (to_real (- @t108 1))) (* 1/1 (- @t121 -1/2)))))
% 105.47/105.72  (step @p389 :rule arith_poly_norm_rel :premises (@p388) :args ((= (>= @t108 1) (>= @t121 -1/2))))
% 105.47/105.72  (step @p390 :rule trans :premises (@p389 @p387))
% 105.47/105.72  (step @p391 :rule refl :args (1))
% 105.47/105.72  (step @p392 :rule cong :premises (@p320 @p391) :args ((>= @t113 1)))
% 105.47/105.72  (step @p393 :rule trans :premises (@p392 @p390))
% 105.47/105.72  (step @p394 :rule eq_resolve :premises (@p350 @p328))
% 105.47/105.72  (step @p395 :rule eq_resolve :premises (@p377 @p356))
% 105.47/105.72  (step @p396 :rule nary_cong :premises (@p395 @p394 @p316) :args (@t43))
% 105.47/105.72  (step @p397 :rule cong :premises (@p396 @p391) :args (@t97))
% 105.47/105.72  (step @p398 :rule eq_resolve :premises (@p498 @p397))
% 105.47/105.72  (step @p399 :rule eq_resolve :premises (@p398 @p393))
% 105.47/105.72  (step @p400 false :rule contra :premises (@p399 @p383))
% 105.47/105.72  (step-pop @p499 :rule scope :premises (@p400))
% 105.47/105.72  (step-pop @p500 :rule scope :premises (@p499))
% 105.47/105.72  (step-pop @p501 :rule scope :premises (@p500))
% 105.47/105.72  (step-pop @p502 :rule scope :premises (@p501))
% 105.47/105.72  (step-pop @p503 :rule scope :premises (@p502))
% 105.47/105.72  (step-pop @p504 :rule scope :premises (@p503))
% 105.47/105.72  (step @p401 :rule process_scope :premises (@p504) :args (false))
% 105.47/105.72  (assume-push @p505 @t106)
% 105.47/105.72  (assume-push @p506 @t105)
% 105.47/105.72  (assume-push @p507 @t104)
% 105.47/105.72  (assume-push @p508 @t68)
% 105.47/105.72  (assume-push @p509 @t81)
% 105.47/105.72  (assume-push @p510 @t97)
% 105.47/105.72  (step @p414 :rule and_intro :premises (@p24 @p508 @p45 @p509 @p66 @p510))
% 105.47/105.72  (step-pop @p511 :rule scope :premises (@p414))
% 105.47/105.72  (step-pop @p512 :rule scope :premises (@p511))
% 105.47/105.72  (step-pop @p513 :rule scope :premises (@p512))
% 105.47/105.72  (step-pop @p514 :rule scope :premises (@p513))
% 105.47/105.72  (step-pop @p515 :rule scope :premises (@p514))
% 105.47/105.72  (step-pop @p516 :rule scope :premises (@p515))
% 105.47/105.72  (step @p415 :rule process_scope :premises (@p516) :args (@t122))
% 105.47/105.72  (step @p422 :rule implies_elim :premises (@p415))
% 105.47/105.72  (step @p423 :rule resolution :premises (@p422 @p401) :args (true @t122))
% 105.47/105.72  (step @p424 :rule not_and :premises (@p423))
% 105.47/105.72  (step @p425 :rule eq_resolve :premises (@p424 @p306))
% 105.47/105.72  (step @p426 false :rule chain_m_resolution :premises (@p425 @p299 @p222 @p149 @p66 @p45 @p24) :args (false (@list false false false true true true) (@list @t97 @t81 @t68 @t46 @t32 @t18)))
% 105.47/105.72  )
% 105.47/105.72  % SZS output end Proof
% 105.47/105.72  % cvc5 exiting
%------------------------------------------------------------------------------