%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM020^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:38:22 AM UTC 2026 % Result : Theorem 6.93s 7.13s % Output : Proof 6.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM020^1 : TPTP v9.2.1. Released v3.6.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 05:19:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 6.93/7.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 6.93/7.13 % SZS status Theorem % 6.93/7.13 % SZS output start Proof % 6.93/7.13 ( % 6.93/7.13 (declare-sort $$unsorted 0) % 6.93/7.13 (define tptp.zero () (let ((_let_1 (@var "Y" $$unsorted))) (lambda (@list (@var "X" (-> $$unsorted $$unsorted)) _let_1) _let_1))) % 6.93/7.13 (define tptp.one () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 6.93/7.13 (define tptp.two () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 _let_1)))))) % 6.93/7.13 (define tptp.three () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 _let_1))))))) % 6.93/7.13 (define tptp.four () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1)))))))) % 6.93/7.13 (define tptp.five () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1))))))))) % 6.93/7.13 (define tptp.six () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1)))))))))) % 6.93/7.13 (define tptp.seven () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1))))))))))) % 6.93/7.13 (define tptp.eight () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1)))))))))))) % 6.93/7.13 (define tptp.nine () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1))))))))))))) % 6.93/7.13 (define tptp.ten () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_1) (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 (_ _let_2 _let_1)))))))))))))) % 6.93/7.13 (define tptp.succ () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "N" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)))) (lambda (@list _let_3 _let_2 _let_1) (_ _let_2 (_ (_ _let_3 _let_2) _let_1))))))) % 6.93/7.13 (define tptp.plus () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "N" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)))) (let ((_let_4 (@var "M" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)))) (lambda (@list _let_4 _let_3 _let_2 _let_1) (_ (_ _let_4 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 6.93/7.13 (define tptp.mult () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "N" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)))) (let ((_let_4 (@var "M" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)))) (lambda (@list _let_4 _let_3 _let_2 _let_1) (_ (_ _let_4 (_ _let_3 _let_2)) _let_1))))))) % 6.93/7.13 (define @t1 () (@var "N" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted))) % 6.93/7.13 (define @t2 () (= (_ (_ tptp.mult @t1) tptp.three) tptp.six)) % 6.93/7.13 (define @t3 () (@list @t1)) % 6.93/7.13 (define @t4 () (exists @t3 @t2)) % 6.93/7.13 (define @t5 () (not @t4)) % 6.93/7.13 (define @t6 () (@var "Y" $$unsorted)) % 6.93/7.13 (define @t7 () (@var "X" (-> $$unsorted $$unsorted))) % 6.93/7.13 (define @t8 () (@list @t7 @t6)) % 6.93/7.13 (define @t9 () (lambda @t8 @t6)) % 6.93/7.13 (define @t10 () (_ @t7 @t6)) % 6.93/7.13 (define @t11 () (lambda @t8 @t10)) % 6.93/7.13 (define @t12 () (_ @t7 @t10)) % 6.93/7.13 (define @t13 () (lambda @t8 @t12)) % 6.93/7.13 (define @t14 () (_ @t7 @t12)) % 6.93/7.13 (define @t15 () (lambda @t8 @t14)) % 6.93/7.13 (define @t16 () (_ @t7 @t14)) % 6.93/7.13 (define @t17 () (lambda @t8 @t16)) % 6.93/7.13 (define @t18 () (_ @t7 @t16)) % 6.93/7.13 (define @t19 () (lambda @t8 @t18)) % 6.93/7.13 (define @t20 () (_ @t7 @t18)) % 6.93/7.13 (define @t21 () (lambda @t8 @t20)) % 6.93/7.13 (define @t22 () (_ @t7 @t20)) % 6.93/7.13 (define @t23 () (lambda @t8 @t22)) % 6.93/7.13 (define @t24 () (_ @t7 @t22)) % 6.93/7.13 (define @t25 () (lambda @t8 @t24)) % 6.93/7.13 (define @t26 () (_ @t7 @t24)) % 6.93/7.13 (define @t27 () (lambda @t8 @t26)) % 6.93/7.13 (define @t28 () (lambda @t8 (_ @t7 @t26))) % 6.93/7.13 (define @t29 () (_ @t1 @t7)) % 6.93/7.13 (define @t30 () (_ @t29 @t6)) % 6.93/7.13 (define @t31 () (lambda (@list @t1 @t7 @t6) (_ @t7 @t30))) % 6.93/7.13 (define @t32 () (@var "M" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted))) % 6.93/7.13 (define @t33 () (@list @t32 @t1 @t7 @t6)) % 6.93/7.13 (define @t34 () (lambda @t33 (_ (_ @t32 @t7) @t30))) % 6.93/7.13 (define @t35 () (lambda @t33 (_ (_ @t32 @t29) @t6))) % 6.93/7.13 (define @t36 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 6.93/7.13 (define @t37 () (_ @t7 @t36)) % 6.93/7.13 (define @t38 () (_ @t7 @t37)) % 6.93/7.13 (define @t39 () (_ @t7 @t38)) % 6.93/7.13 (define @t40 () (@list @t36)) % 6.93/7.13 (define @t41 () (lambda @t40 @t39)) % 6.93/7.13 (define @t42 () (_ @t1 @t41 @t6)) % 6.93/7.13 (define @t43 () (_ @t7 @t6)) % 6.93/7.13 (define @t44 () (_ @t7 @t43)) % 6.93/7.13 (define @t45 () (_ @t7 @t44)) % 6.93/7.13 (define @t46 () (_ @t7 @t45)) % 6.93/7.13 (define @t47 () (_ @t7 @t46)) % 6.93/7.13 (define @t48 () (_ @t7 @t47)) % 6.93/7.13 (define @t49 () (lambda @t8 @t48)) % 6.93/7.13 (define @t50 () (forall @t3 (not (= @t49 (lambda @t8 @t42))))) % 6.93/7.13 (define @t51 () (_ @t7 @t36)) % 6.93/7.13 (define @t52 () (_ @t7 @t51)) % 6.93/7.13 (define @t53 () (_ @t7 @t52)) % 6.93/7.13 (define @t54 () (lambda @t40 @t53)) % 6.93/7.13 (define @t55 () (_ (_ @t1 @t54) @t6)) % 6.93/7.13 (define @t56 () (lambda @t8 @t55)) % 6.93/7.13 (define @t57 () (= @t21 @t56)) % 6.93/7.13 (define @t58 () (not @t57)) % 6.93/7.13 (define @t59 () (forall @t3 @t58)) % 6.93/7.13 (define @t60 () (not @t59)) % 6.93/7.13 (define @t61 () (lambda (@list @t6) @t14)) % 6.93/7.13 (define @t62 () (_ @t15 @t7)) % 6.93/7.13 (define @t63 () (lambda @t8 (_ (_ @t1 @t62) @t6))) % 6.93/7.13 (define @t64 () (@var "BOUND_VARIABLE_7533" (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted))) % 6.93/7.13 (define @t65 () (_ @t64 @t7)) % 6.93/7.13 (define @t66 () (lambda (@list @t64 @t7 @t6) (_ (_ @t1 @t65) @t6))) % 6.93/7.13 (define @t67 () (= (_ (_ @t35 @t1) @t15) @t21)) % 6.93/7.13 (define @t68 () (exists @t3 @t67)) % 6.93/7.13 (define @t69 () (_ @t41 @t6)) % 6.93/7.13 (define @t70 () (_ @t41 @t69)) % 6.93/7.13 (define @t71 () (@var "BOUND_VARIABLE_187783" $$unsorted)) % 6.93/7.13 (define @t72 () (@var "BOUND_VARIABLE_187782" (-> $$unsorted $$unsorted))) % 6.93/7.13 (define @t73 () (lambda (@list @t72 @t71) (_ @t72 (_ @t72 @t71)))) % 6.93/7.13 (define @t74 () (_ @t73 @t41 @t6)) % 6.93/7.13 (define @t75 () (lambda @t8 @t74)) % 6.93/7.13 (define @t76 () (= @t49 @t75)) % 6.93/7.13 (define @t77 () (not @t76)) % 6.93/7.13 (assume @p1 @t5) % 6.93/7.13 (assume @p2 true) % 6.93/7.13 (step @p3 (= tptp.zero @t9) :rule refl :args (@t9)) % 6.93/7.13 (step @p4 (= tptp.one @t11) :rule refl :args (@t11)) % 6.93/7.13 (step @p5 (= tptp.two @t13) :rule refl :args (@t13)) % 6.93/7.13 (step @p6 (= tptp.three @t15) :rule refl :args (@t15)) % 6.93/7.13 (step @p7 (= tptp.four @t17) :rule refl :args (@t17)) % 6.93/7.13 (step @p8 (= tptp.five @t19) :rule refl :args (@t19)) % 6.93/7.13 (step @p9 (= tptp.six @t21) :rule refl :args (@t21)) % 6.93/7.13 (step @p10 (= tptp.seven @t23) :rule refl :args (@t23)) % 6.93/7.13 (step @p11 (= tptp.eight @t25) :rule refl :args (@t25)) % 6.93/7.13 (step @p12 (= tptp.nine @t27) :rule refl :args (@t27)) % 6.93/7.13 (step @p13 (= tptp.ten @t28) :rule refl :args (@t28)) % 6.93/7.13 (step @p14 (= tptp.succ @t31) :rule refl :args (@t31)) % 6.93/7.13 (step @p15 (= tptp.plus @t34) :rule refl :args (@t34)) % 6.93/7.13 (step @p16 (= tptp.mult @t35) :rule refl :args (@t35)) % 6.93/7.13 (step @p17 :rule bool-double-not-elim :args (@t50)) % 6.93/7.13 (step @p18 :rule refl :args ((_ @t1 @t54 @t6))) % 6.93/7.13 (step @p19 :rule refl :args (@t6)) % 6.93/7.13 (step @p20 :rule refl :args ((_ @t7 @t52))) % 6.93/7.13 (step @p21 :rule refl :args ((_ @t7 @t51))) % 6.93/7.13 (step @p22 :rule refl :args (@t37)) % 6.93/7.13 (step @p23 :rule cong :premises (@p22) :args (@t38)) % 6.93/7.13 (step @p24 :rule trans :premises (@p23 @p21)) % 6.93/7.13 (step @p25 :rule cong :premises (@p24) :args (@t39)) % 6.93/7.13 (step @p26 :rule trans :premises (@p25 @p20)) % 6.93/7.13 (step @p27 :rule cong :premises (@p26) :args (@t41)) % 6.93/7.13 (step @p28 :rule cong :premises (@p27 @p19) :args (@t42)) % 6.93/7.13 (step @p29 :rule trans :premises (@p28 @p18)) % 6.93/7.13 (step @p30 :rule refl :args (@t1)) % 6.93/7.13 (step @p31 :rule ho_cong :premises (@p30 @p27)) % 6.93/7.13 (step @p32 :rule ho_cong :premises (@p31 @p19)) % 6.93/7.13 (step @p33 :rule cong :premises (@p32 @p29) :args ((= (_ (_ @t1 @t41) @t6) @t42))) % 6.93/7.13 (step @p34 :rule symm :premises (@p33)) % 6.93/7.13 (step @p35 :rule refl :args (@t55)) % 6.93/7.13 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 6.93/7.13 (step @p37 :rule refl :args (@t7)) % 6.93/7.13 (step @p38 :rule ho_cong :premises (@p37 @p24)) % 6.93/7.13 (step @p39 :rule cong :premises (@p38 @p26) :args ((= (_ @t7 @t38) @t39))) % 6.93/7.13 (step @p40 :rule symm :premises (@p39)) % 6.93/7.13 (step @p41 :rule refl :args (@t53)) % 6.93/7.13 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 6.93/7.13 (step @p43 :rule ho_cong :premises (@p37 @p22)) % 6.93/7.13 (step @p44 :rule cong :premises (@p43 @p24) :args ((= (_ @t7 @t37) @t38))) % 6.93/7.13 (step @p45 :rule symm :premises (@p44)) % 6.93/7.13 (step @p46 :rule refl :args (@t52)) % 6.93/7.13 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 6.93/7.13 (step @p48 :rule refl :args (@t51)) % 6.93/7.13 (step @p49 :rule cong :premises (@p48 @p22) :args ((= @t51 @t37))) % 6.93/7.13 (step @p50 :rule symm :premises (@p49)) % 6.93/7.13 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 6.93/7.13 (step @p52 :rule ho_cong :premises (@p37 @p51)) % 6.93/7.13 (step @p53 :rule trans :premises (@p52 @p47)) % 6.93/7.13 (step @p54 :rule ho_cong :premises (@p37 @p53)) % 6.93/7.13 (step @p55 :rule trans :premises (@p54 @p42)) % 6.93/7.13 (step @p56 :rule cong :premises (@p55) :args (@t54)) % 6.93/7.13 (step @p57 :rule ho_cong :premises (@p30 @p56)) % 6.93/7.13 (step @p58 :rule ho_cong :premises (@p57 @p19)) % 6.93/7.13 (step @p59 :rule trans :premises (@p58 @p36)) % 6.93/7.13 (step @p60 :rule cong :premises (@p59) :args (@t56)) % 6.93/7.13 (step @p61 :rule refl :args ((_ @t7 @t18))) % 6.93/7.13 (step @p62 :rule refl :args ((_ @t7 @t16))) % 6.93/7.13 (step @p63 :rule refl :args ((_ @t7 @t14))) % 6.93/7.13 (step @p64 :rule refl :args ((_ @t7 @t12))) % 6.93/7.13 (step @p65 :rule refl :args ((_ @t7 @t10))) % 6.93/7.13 (step @p66 :rule refl :args (@t43)) % 6.93/7.13 (step @p67 :rule cong :premises (@p66) :args (@t44)) % 6.93/7.13 (step @p68 :rule trans :premises (@p67 @p65)) % 6.93/7.13 (step @p69 :rule cong :premises (@p68) :args (@t45)) % 6.93/7.13 (step @p70 :rule trans :premises (@p69 @p64)) % 6.93/7.13 (step @p71 :rule cong :premises (@p70) :args (@t46)) % 6.93/7.13 (step @p72 :rule trans :premises (@p71 @p63)) % 6.93/7.13 (step @p73 :rule cong :premises (@p72) :args (@t47)) % 6.93/7.13 (step @p74 :rule trans :premises (@p73 @p62)) % 6.93/7.13 (step @p75 :rule cong :premises (@p74) :args (@t48)) % 6.93/7.13 (step @p76 :rule trans :premises (@p75 @p61)) % 6.93/7.13 (step @p77 :rule ho_cong :premises (@p37 @p74)) % 6.93/7.13 (step @p78 :rule cong :premises (@p77 @p76) :args ((= (_ @t7 @t47) @t48))) % 6.93/7.13 (step @p79 :rule symm :premises (@p78)) % 6.93/7.13 (step @p80 :rule refl :args (@t20)) % 6.93/7.13 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 6.93/7.13 (step @p82 :rule ho_cong :premises (@p37 @p72)) % 6.93/7.13 (step @p83 :rule cong :premises (@p82 @p74) :args ((= (_ @t7 @t46) @t47))) % 6.93/7.13 (step @p84 :rule symm :premises (@p83)) % 6.93/7.13 (step @p85 :rule refl :args (@t18)) % 6.93/7.13 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 6.93/7.13 (step @p87 :rule ho_cong :premises (@p37 @p70)) % 6.93/7.13 (step @p88 :rule cong :premises (@p87 @p72) :args ((= (_ @t7 @t45) @t46))) % 6.93/7.13 (step @p89 :rule symm :premises (@p88)) % 6.93/7.13 (step @p90 :rule refl :args (@t16)) % 6.93/7.13 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 6.93/7.13 (step @p92 :rule ho_cong :premises (@p37 @p68)) % 6.93/7.13 (step @p93 :rule cong :premises (@p92 @p70) :args ((= (_ @t7 @t44) @t45))) % 6.93/7.13 (step @p94 :rule symm :premises (@p93)) % 6.93/7.13 (step @p95 :rule refl :args (@t14)) % 6.93/7.13 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 6.93/7.13 (step @p97 :rule ho_cong :premises (@p37 @p66)) % 6.93/7.13 (step @p98 :rule cong :premises (@p97 @p68) :args ((= (_ @t7 @t43) @t44))) % 6.93/7.13 (step @p99 :rule symm :premises (@p98)) % 6.93/7.13 (step @p100 :rule refl :args (@t12)) % 6.93/7.13 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 6.93/7.13 (step @p102 :rule refl :args (@t10)) % 6.93/7.13 (step @p103 :rule cong :premises (@p102 @p66) :args ((= @t10 @t43))) % 6.93/7.13 (step @p104 :rule symm :premises (@p103)) % 6.93/7.13 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 6.93/7.13 (step @p106 :rule ho_cong :premises (@p37 @p105)) % 6.93/7.13 (step @p107 :rule trans :premises (@p106 @p101)) % 6.93/7.13 (step @p108 :rule ho_cong :premises (@p37 @p107)) % 6.93/7.13 (step @p109 :rule trans :premises (@p108 @p96)) % 6.93/7.13 (step @p110 :rule ho_cong :premises (@p37 @p109)) % 6.93/7.13 (step @p111 :rule trans :premises (@p110 @p91)) % 6.93/7.13 (step @p112 :rule ho_cong :premises (@p37 @p111)) % 6.93/7.13 (step @p113 :rule trans :premises (@p112 @p86)) % 6.93/7.13 (step @p114 :rule ho_cong :premises (@p37 @p113)) % 6.93/7.13 (step @p115 :rule trans :premises (@p114 @p81)) % 6.93/7.13 (step @p116 :rule cong :premises (@p115) :args (@t21)) % 6.93/7.13 (step @p117 :rule cong :premises (@p116 @p60) :args (@t57)) % 6.93/7.13 (step @p118 :rule cong :premises (@p117) :args (@t58)) % 6.93/7.14 (step @p119 :rule cong :premises (@p118) :args (@t59)) % 6.93/7.14 (step @p120 :rule cong :premises (@p119) :args (@t60)) % 6.93/7.14 (step @p121 :rule exists-elim :args ((= (exists @t3 @t57) @t60))) % 6.93/7.14 (step @p122 :rule trans :premises (@p121 @p120)) % 6.93/7.14 (step @p123 :rule eq-symm :args (@t56 @t21)) % 6.93/7.14 (step @p124 :rule refl :args (@t21)) % 6.93/7.14 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 6.93/7.14 ; trust TRUST_THEORY_REWRITE % 6.93/7.14 (step @p125 :rule trust :premises () :args ((= (lambda @t8 (_ (_ @t1 @t61) @t6)) @t56))) % 6.93/7.14 (step @p126 :rule refl :args (@t6)) % 6.93/7.14 (step @p127 :rule beta-reduce :args ((= @t62 @t61))) % 6.93/7.14 (step @p128 :rule refl :args (@t1)) % 6.93/7.14 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 6.93/7.14 (step @p130 :rule ho_cong :premises (@p129 @p126)) % 6.93/7.14 (step @p131 :rule cong :premises (@p130) :args (@t63)) % 6.93/7.14 (step @p132 :rule trans :premises (@p131 @p125)) % 6.93/7.14 (step @p133 :rule beta-reduce :args ((= (_ @t66 @t15) @t63))) % 6.93/7.14 (step @p134 :rule trans :premises (@p133 @p132)) % 6.93/7.14 (step @p135 :rule refl :args (@t15)) % 6.93/7.14 (step @p136 :rule beta-reduce :args ((= (_ (lambda (@list @t32 @t64 @t7 @t6) (_ (_ @t32 @t65) @t6)) @t1) @t66))) % 6.93/7.14 (step @p137 :rule alpha_equiv :args (@t35 (@list @t1) (@list @t64))) % 6.93/7.14 (step @p138 :rule ho_cong :premises (@p137 @p30)) % 6.93/7.14 (step @p139 :rule trans :premises (@p138 @p136)) % 6.93/7.14 (step @p140 :rule ho_cong :premises (@p139 @p135)) % 6.93/7.14 (step @p141 :rule trans :premises (@p140 @p134)) % 6.93/7.14 (step @p142 :rule cong :premises (@p141 @p124) :args (@t67)) % 6.93/7.14 (step @p143 :rule trans :premises (@p142 @p123)) % 6.93/7.14 (step @p144 :rule cong :premises (@p143) :args (@t68)) % 6.93/7.14 (step @p145 :rule trans :premises (@p144 @p122)) % 6.93/7.14 (step @p146 :rule cong :premises (@p145) :args ((not @t68))) % 6.93/7.14 (step @p147 :rule trans :premises (@p146 @p17)) % 6.93/7.14 (step @p148 :rule ho_cong :premises (@p16 @p128)) % 6.93/7.14 (step @p149 :rule ho_cong :premises (@p148 @p6)) % 6.93/7.14 (step @p150 :rule cong :premises (@p149 @p9) :args (@t2)) % 6.93/7.14 (step @p151 :rule cong :premises (@p150) :args (@t4)) % 6.93/7.14 (step @p152 :rule cong :premises (@p151) :args (@t5)) % 6.93/7.14 (step @p153 :rule trans :premises (@p152 @p147)) % 6.93/7.14 (step @p154 :rule eq_resolve :premises (@p1 @p153)) % 6.93/7.14 (step @p155 :rule bool-impl-false1 :args (@t50)) % 6.93/7.14 (step @p156 :rule evaluate :args ((not true))) % 6.93/7.14 (step @p157 :rule eq-refl :args (@t49)) % 6.93/7.14 (step @p158 :rule beta-reduce :args ((= (_ @t41 @t45) @t48))) % 6.93/7.14 (step @p159 :rule beta-reduce :args ((= @t69 @t45))) % 6.93/7.14 (step @p160 :rule cong :premises (@p159) :args (@t70)) % 6.93/7.14 (step @p161 :rule trans :premises (@p160 @p158)) % 6.93/7.14 (step @p162 :rule beta-reduce :args ((= @t74 @t70))) % 6.93/7.14 (step @p163 :rule trans :premises (@p162 @p161)) % 6.93/7.14 (step @p164 :rule cong :premises (@p163) :args (@t75)) % 6.93/7.14 (step @p165 :rule refl :args (@t49)) % 6.93/7.14 (step @p166 :rule cong :premises (@p165 @p164) :args (@t76)) % 6.93/7.14 (step @p167 :rule trans :premises (@p166 @p157)) % 6.93/7.14 (step @p168 :rule cong :premises (@p167) :args (@t77)) % 6.93/7.14 (step @p169 :rule trans :premises (@p168 @p156)) % 6.93/7.14 (step @p170 :rule refl :args (@t50)) % 6.93/7.14 (step @p171 :rule cong :premises (@p170 @p169) :args ((=> @t50 @t77))) % 6.93/7.14 (step @p172 :rule trans :premises (@p171 @p155)) % 6.93/7.14 (assume-push @p179 @t50) % 6.93/7.14 (step @p174 :rule instantiate :premises (@p154) :args ((@list @t73))) % 6.93/7.14 (step-pop @p180 :rule scope :premises (@p174)) % 6.93/7.14 (step @p175 :rule process_scope :premises (@p180) :args (@t77)) % 6.93/7.14 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 6.93/7.14 (step @p178 false :rule chain_m_resolution :premises (@p177 @p154) :args (false (@list false) (@list @t50))) % 6.93/7.14 ) % 6.93/7.14 % SZS output end Proof % 6.93/7.14 % cvc5 exiting %------------------------------------------------------------------------------