%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT334^8 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:14:46 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT334^8 : TPTP v9.2.1. Released v8.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 22:32:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.35/0.50 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-sort tptp.mworld 0) % 0.39/0.58 (declare-const tptp.mactual tptp.mworld) % 0.39/0.58 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.39/0.58 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.39/0.58 (declare-const tptp.math $$unsorted) % 0.39/0.58 (declare-const tptp.john $$unsorted) % 0.39/0.58 (declare-const tptp.cs $$unsorted) % 0.39/0.58 (declare-const tptp.mary $$unsorted) % 0.39/0.58 (declare-const tptp.teach (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.39/0.58 (declare-const tptp.sue $$unsorted) % 0.39/0.58 (declare-const tptp.psych $$unsorted) % 0.39/0.58 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.39/0.58 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.39/0.58 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.58 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.58 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.58 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.58 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.39/0.58 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.39/0.58 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.39/0.58 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.39/0.58 (define @t1 () (@var "W" tptp.mworld)) % 0.39/0.58 (define @t2 () (_ tptp.mrel @t1)) % 0.39/0.58 (define @t3 () (@list @t1)) % 0.39/0.58 (define @t4 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t5 () (_ (_ tptp.eiw_di @t4) @t1)) % 0.39/0.58 (define @t6 () (@list @t4)) % 0.39/0.58 (define @t7 () (_ (_ tptp.teach tptp.sue) tptp.psych)) % 0.39/0.58 (define @t8 () (_ (_ tptp.teach tptp.mary) tptp.psych)) % 0.39/0.58 (define @t9 () (@var "__flatten_var_0" tptp.mworld)) % 0.39/0.58 (define @t10 () (_ (_ tptp.teach @t4) tptp.cs)) % 0.39/0.58 (define @t11 () (lambda (@list @t4 @t9) (_ @t10 @t9))) % 0.39/0.58 (define @t12 () (_ tptp.mexists_di @t11)) % 0.39/0.58 (define @t13 () (_ (_ tptp.teach tptp.john) tptp.math)) % 0.39/0.58 (define @t14 () (not (_ tptp.mlocal (_ tptp.mbox @t12)))) % 0.39/0.58 (define @t15 () (@var "Phi" (-> tptp.mworld Bool))) % 0.39/0.58 (define @t16 () (lambda (@list @t15) (_ @t15 tptp.mactual))) % 0.39/0.58 (define @t17 () (@var "A" (-> tptp.mworld Bool))) % 0.39/0.58 (define @t18 () (_ @t17 @t1)) % 0.39/0.58 (define @t19 () (lambda (@list @t17 @t1) (not @t18))) % 0.39/0.58 (define @t20 () (@var "B" (-> tptp.mworld Bool))) % 0.39/0.58 (define @t21 () (_ @t20 @t1)) % 0.39/0.58 (define @t22 () (@list @t17 @t20 @t1)) % 0.39/0.58 (define @t23 () (lambda @t22 (and @t18 @t21))) % 0.39/0.58 (define @t24 () (lambda @t22 (or @t18 @t21))) % 0.39/0.58 (define @t25 () (lambda @t22 (=> @t18 @t21))) % 0.39/0.58 (define @t26 () (lambda @t22 (= @t18 @t21))) % 0.39/0.58 (define @t27 () (@var "V" tptp.mworld)) % 0.39/0.58 (define @t28 () (_ @t15 @t27)) % 0.39/0.58 (define @t29 () (_ @t2 @t27)) % 0.39/0.58 (define @t30 () (@list @t27)) % 0.39/0.58 (define @t31 () (forall @t30 (=> @t29 @t28))) % 0.39/0.58 (define @t32 () (@list @t15 @t1)) % 0.39/0.58 (define @t33 () (lambda @t32 @t31)) % 0.39/0.58 (define @t34 () (lambda @t32 (exists @t30 (and @t29 @t28)))) % 0.39/0.58 (define @t35 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.39/0.58 (define @t36 () (_ (_ @t35 @t4) @t1)) % 0.39/0.58 (define @t37 () (@list @t35 @t1)) % 0.39/0.58 (define @t38 () (lambda @t37 (forall @t6 (=> @t5 @t36)))) % 0.39/0.58 (define @t39 () (and @t5 @t36)) % 0.39/0.58 (define @t40 () (exists @t6 @t39)) % 0.39/0.58 (define @t41 () (lambda @t37 @t40)) % 0.39/0.58 (define @t42 () (not (forall @t6 (or (not (tptp.eiw_di @t4 @t27)) (not (tptp.teach @t4 tptp.cs @t27)))))) % 0.39/0.58 (define @t43 () (not (tptp.mrel tptp.mactual @t27))) % 0.39/0.58 (define @t44 () (forall @t30 (or @t43 @t42))) % 0.39/0.58 (define @t45 () (tptp.mrel @t1 @t27)) % 0.39/0.58 (define @t46 () (not @t45)) % 0.39/0.58 (define @t47 () (lambda @t3 (forall @t30 (or @t46 @t42)))) % 0.39/0.58 (define @t48 () (_ @t47 tptp.mactual)) % 0.39/0.58 (define @t49 () (tptp.teach @t4 tptp.cs @t1)) % 0.39/0.58 (define @t50 () (tptp.eiw_di @t4 @t1)) % 0.39/0.58 (define @t51 () (not @t50)) % 0.39/0.58 (define @t52 () (not (forall @t6 (or @t51 (not @t49))))) % 0.39/0.58 (define @t53 () (lambda @t3 @t52)) % 0.39/0.58 (define @t54 () (_ @t53 @t27)) % 0.39/0.58 (define @t55 () (or @t46 @t54)) % 0.39/0.58 (define @t56 () (forall @t30 @t55)) % 0.39/0.58 (define @t57 () (lambda @t3 @t56)) % 0.39/0.58 (define @t58 () (_ @t15 @t27)) % 0.39/0.58 (define @t59 () (lambda @t32 (forall @t30 (or @t46 @t58)))) % 0.39/0.58 (define @t60 () (_ @t10 @t1)) % 0.39/0.58 (define @t61 () (not @t60)) % 0.39/0.58 (define @t62 () (or @t51 @t61)) % 0.39/0.58 (define @t63 () (_ @t11 @t4 @t1)) % 0.39/0.58 (define @t64 () (not @t63)) % 0.39/0.58 (define @t65 () (or @t51 @t64)) % 0.39/0.58 (define @t66 () (forall @t6 @t65)) % 0.39/0.58 (define @t67 () (not @t66)) % 0.39/0.58 (define @t68 () (lambda @t3 @t67)) % 0.39/0.58 (define @t69 () (_ @t35 @t4 @t1)) % 0.39/0.58 (define @t70 () (_ (lambda @t37 (not (forall @t6 (or @t51 (not @t69))))) @t11)) % 0.39/0.58 (define @t71 () (not @t36)) % 0.39/0.58 (define @t72 () (not @t5)) % 0.39/0.58 (define @t73 () (or @t72 @t71)) % 0.39/0.58 (define @t74 () (forall @t6 (not @t39))) % 0.39/0.58 (define @t75 () (not @t74)) % 0.39/0.58 (define @t76 () (not @t29)) % 0.39/0.58 (define @t77 () (or @t76 @t28)) % 0.39/0.58 (define @t78 () (@quantifiers_skolemize @t44 0)) % 0.39/0.58 (define @t79 () (tptp.mrel tptp.mactual @t78)) % 0.39/0.58 (define @t80 () (forall @t6 (or (not (tptp.eiw_di @t4 @t78)) (not (tptp.teach @t4 tptp.cs @t78))))) % 0.39/0.58 (define @t81 () (not @t80)) % 0.39/0.58 (define @t82 () (not @t79)) % 0.39/0.58 (define @t83 () (or @t82 @t81)) % 0.39/0.58 (define @t84 () (@list true)) % 0.39/0.58 (define @t85 () (@list @t83)) % 0.39/0.58 (define @t86 () (and (tptp.teach tptp.john tptp.math @t78) @t81 (tptp.teach tptp.mary tptp.psych @t78) (tptp.teach tptp.sue tptp.psych @t78))) % 0.39/0.58 (define @t87 () (not @t86)) % 0.39/0.58 (define @t88 () (tptp.teach tptp.sue tptp.psych @t27)) % 0.39/0.58 (define @t89 () (tptp.teach tptp.mary tptp.psych @t27)) % 0.39/0.58 (define @t90 () (tptp.teach tptp.john tptp.math @t27)) % 0.39/0.58 (define @t91 () (and @t90 @t42 @t89 @t88)) % 0.39/0.58 (define @t92 () (lambda @t3 (forall @t30 (or @t46 @t91)))) % 0.39/0.58 (define @t93 () (_ @t92 tptp.mactual)) % 0.39/0.58 (define @t94 () (_ @t7 @t27)) % 0.39/0.58 (define @t95 () (_ @t8 @t27)) % 0.39/0.58 (define @t96 () (_ @t13 @t27)) % 0.39/0.58 (define @t97 () (and @t96 @t42 @t95 @t94)) % 0.39/0.58 (define @t98 () (or @t46 @t97)) % 0.39/0.58 (define @t99 () (_ @t7 @t1)) % 0.39/0.58 (define @t100 () (_ @t8 @t1)) % 0.39/0.58 (define @t101 () (_ @t13 @t1)) % 0.39/0.58 (define @t102 () (and @t101 @t52 @t100 @t99)) % 0.39/0.58 (define @t103 () (lambda @t3 @t102)) % 0.39/0.58 (define @t104 () (_ @t103 @t27)) % 0.39/0.58 (define @t105 () (or @t46 @t104)) % 0.39/0.58 (define @t106 () (forall @t30 @t105)) % 0.39/0.58 (define @t107 () (lambda @t3 @t106)) % 0.39/0.58 (define @t108 () (and @t52 @t100 @t99)) % 0.39/0.58 (define @t109 () (lambda @t3 @t108)) % 0.39/0.58 (define @t110 () (_ @t109 @t1)) % 0.39/0.58 (define @t111 () (and @t101 @t110)) % 0.39/0.58 (define @t112 () (lambda @t3 @t111)) % 0.39/0.58 (define @t113 () (@list @t20 @t1)) % 0.39/0.58 (define @t114 () (lambda @t113 (and @t101 @t21))) % 0.39/0.58 (define @t115 () (and @t100 @t99)) % 0.39/0.58 (define @t116 () (lambda @t3 @t115)) % 0.39/0.58 (define @t117 () (_ @t116 @t1)) % 0.39/0.58 (define @t118 () (and @t52 @t117)) % 0.39/0.58 (define @t119 () (lambda @t3 @t118)) % 0.39/0.58 (define @t120 () (lambda @t113 (and @t100 @t21))) % 0.39/0.58 (define @t121 () (_ @t53 @t1)) % 0.39/0.58 (define @t122 () (and @t121 @t21)) % 0.39/0.58 (define @t123 () (lambda @t113 @t122)) % 0.39/0.58 (define @t124 () (or @t82 @t86)) % 0.39/0.58 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.39/0.58 (assume @p2 (forall @t3 (exists @t6 @t5))) % 0.39/0.58 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mand @t13) (_ (_ tptp.mand @t12) (_ (_ tptp.mand @t8) @t7)))))) % 0.39/0.58 (assume @p4 @t14) % 0.39/0.58 (assume @p5 true) % 0.39/0.58 (step @p6 (= tptp.mlocal @t16) :rule refl :args (@t16)) % 0.39/0.58 (step @p7 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.39/0.58 (step @p8 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.39/0.58 (step @p9 (= tptp.mor @t24) :rule refl :args (@t24)) % 0.39/0.58 (step @p10 (= tptp.mimplies @t25) :rule refl :args (@t25)) % 0.39/0.58 (step @p11 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.39/0.58 (step @p12 (= tptp.mbox @t33) :rule refl :args (@t33)) % 0.39/0.58 (step @p13 (= tptp.mdia @t34) :rule refl :args (@t34)) % 0.39/0.58 (step @p14 (= tptp.mforall_di @t38) :rule refl :args (@t38)) % 0.39/0.58 (step @p15 (= tptp.mexists_di @t41) :rule refl :args (@t41)) % 0.39/0.58 (step @p16 :rule beta-reduce :args ((= @t48 @t44))) % 0.39/0.58 (step @p17 :rule beta-reduce :args ((= (_ @t16 @t47) @t48))) % 0.39/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.58 (step @p19 :rule beta-reduce :args ((= @t54 @t42))) % 0.39/0.58 (step @p20 :rule refl :args (@t46)) % 0.39/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t55)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21) :args (@t56)) % 0.39/0.58 (step @p23 :rule cong :premises (@p22) :args (@t57)) % 0.39/0.58 (step @p24 :rule beta-reduce :args ((= (_ @t59 @t53) @t57))) % 0.39/0.58 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.58 (step @p26 :rule refl :args (@t49)) % 0.39/0.58 (step @p27 :rule refl :args (@t60)) % 0.39/0.58 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t60 @t49))) % 0.39/0.58 (step @p29 :rule symm :premises (@p28)) % 0.39/0.58 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.39/0.58 (step @p31 :rule cong :premises (@p30) :args (@t61)) % 0.39/0.58 (step @p32 :rule refl :args (@t51)) % 0.39/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t62)) % 0.39/0.58 (step @p34 :rule cong :premises (@p33) :args ((forall @t6 @t62))) % 0.39/0.58 (step @p35 :rule beta-reduce :args ((= @t63 @t60))) % 0.39/0.58 (step @p36 :rule cong :premises (@p35) :args (@t64)) % 0.39/0.58 (step @p37 :rule refl :args (@t51)) % 0.39/0.58 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t65)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t66)) % 0.39/0.58 (step @p40 :rule trans :premises (@p39 @p34)) % 0.39/0.58 (step @p41 :rule cong :premises (@p40) :args (@t67)) % 0.39/0.58 (step @p42 :rule cong :premises (@p41) :args (@t68)) % 0.39/0.58 (step @p43 :rule beta-reduce :args ((= @t70 @t68))) % 0.39/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.58 (step @p45 :rule refl :args (@t59)) % 0.39/0.58 (step @p46 :rule ho_cong :premises (@p45 @p44)) % 0.39/0.58 (step @p47 :rule trans :premises (@p46 @p25)) % 0.39/0.58 (step @p48 :rule refl :args (@t16)) % 0.39/0.58 (step @p49 :rule ho_cong :premises (@p48 @p47)) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p18)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50) :args ((not (_ @t16 (_ @t59 @t70))))) % 0.39/0.58 (step @p52 :rule refl :args (@t11)) % 0.39/0.58 (step @p53 :rule refl :args (@t69)) % 0.39/0.58 (step @p54 :rule refl :args (@t36)) % 0.39/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t36 @t69))) % 0.39/0.58 (step @p56 :rule symm :premises (@p55)) % 0.39/0.58 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.39/0.58 (step @p58 :rule cong :premises (@p57) :args (@t71)) % 0.39/0.58 (step @p59 :rule refl :args (@t50)) % 0.39/0.58 (step @p60 :rule refl :args (@t5)) % 0.39/0.58 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t5 @t50))) % 0.39/0.58 (step @p62 :rule symm :premises (@p61)) % 0.39/0.58 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.39/0.58 (step @p64 :rule cong :premises (@p63) :args (@t72)) % 0.39/0.58 (step @p65 :rule nary_cong :premises (@p64 @p58) :args (@t73)) % 0.39/0.58 (step @p66 :rule cong :premises (@p65) :args ((forall @t6 @t73))) % 0.39/0.58 (step @p67 :rule bool-and-de-morgan :args (@t5 @t36 true)) % 0.39/0.58 (step @p68 :rule cong :premises (@p67) :args (@t74)) % 0.39/0.58 (step @p69 :rule trans :premises (@p68 @p66)) % 0.39/0.58 (step @p70 :rule cong :premises (@p69) :args (@t75)) % 0.39/0.58 (step @p71 :rule exists-elim :args ((= @t40 @t75))) % 0.39/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.39/0.58 (step @p73 :rule cong :premises (@p72) :args (@t41)) % 0.39/0.58 (step @p74 :rule trans :premises (@p15 @p73)) % 0.39/0.58 (step @p75 :rule ho_cong :premises (@p74 @p52)) % 0.39/0.58 (step @p76 :rule refl :args (@t58)) % 0.39/0.58 (step @p77 :rule refl :args (@t28)) % 0.39/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t28 @t58))) % 0.39/0.58 (step @p79 :rule symm :premises (@p78)) % 0.39/0.58 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.39/0.58 (step @p81 :rule refl :args (@t45)) % 0.39/0.58 (step @p82 :rule refl :args (@t29)) % 0.39/0.58 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t29 @t45))) % 0.39/0.58 (step @p84 :rule symm :premises (@p83)) % 0.39/0.58 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.39/0.58 (step @p86 :rule cong :premises (@p85) :args (@t76)) % 0.39/0.58 (step @p87 :rule nary_cong :premises (@p86 @p80) :args (@t77)) % 0.39/0.58 (step @p88 :rule cong :premises (@p87) :args ((forall @t30 @t77))) % 0.39/0.58 (step @p89 :rule bool-impl-elim :args (@t29 @t28)) % 0.39/0.58 (step @p90 :rule cong :premises (@p89) :args (@t31)) % 0.39/0.58 (step @p91 :rule trans :premises (@p90 @p88)) % 0.39/0.58 (step @p92 :rule cong :premises (@p91) :args (@t33)) % 0.39/0.58 (step @p93 :rule trans :premises (@p12 @p92)) % 0.39/0.58 (step @p94 :rule ho_cong :premises (@p93 @p75)) % 0.39/0.58 (step @p95 :rule ho_cong :premises (@p6 @p94)) % 0.39/0.58 (step @p96 :rule cong :premises (@p95) :args (@t14)) % 0.39/0.58 (step @p97 :rule trans :premises (@p96 @p51)) % 0.39/0.58 (step @p98 :rule eq_resolve :premises (@p4 @p97)) % 0.39/0.58 (step @p99 :rule skolemize :premises (@p98)) % 0.39/0.58 (step @p100 :rule bool-double-not-elim :args (@t79)) % 0.39/0.58 (step @p101 :rule refl :args (@t83)) % 0.39/0.58 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t83 (not @t82)))) % 0.39/0.58 (step @p103 :rule cnf_or_neg :args (@t83 0)) % 0.39/0.58 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.39/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t79 @t83))) % 0.39/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p99) :args (@t79 @t84 @t85)) % 0.39/0.58 (step @p107 :rule bool-double-not-elim :args (@t80)) % 0.39/0.58 (step @p108 :rule nary_cong :premises (@p101 @p107) :args ((or @t83 (not @t81)))) % 0.39/0.58 (step @p109 :rule cnf_or_neg :args (@t83 1)) % 0.39/0.58 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.39/0.58 (step @p111 :rule reordering :premises (@p110) :args ((or @t80 @t83))) % 0.39/0.58 (step @p112 :rule chain_m_resolution :premises (@p111 @p99) :args (@t80 @t84 @t85)) % 0.39/0.58 (step @p113 :rule cnf_and_pos :args (@t86 1)) % 0.39/0.58 (step @p114 :rule reordering :premises (@p113) :args ((or @t81 @t87))) % 0.39/0.58 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t87 (@list false) (@list @t80))) % 0.39/0.58 (step @p116 :rule beta-reduce :args ((= @t93 (forall @t30 (or @t43 @t91))))) % 0.39/0.58 (step @p117 :rule beta-reduce :args ((= (_ @t16 @t92) @t93))) % 0.39/0.58 (step @p118 :rule trans :premises (@p117 @p116)) % 0.39/0.58 (step @p119 :rule refl :args (@t88)) % 0.39/0.58 (step @p120 :rule refl :args (@t94)) % 0.39/0.58 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t94 @t88))) % 0.39/0.58 (step @p122 :rule symm :premises (@p121)) % 0.39/0.58 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.39/0.58 (step @p124 :rule refl :args (@t89)) % 0.39/0.58 (step @p125 :rule refl :args (@t95)) % 0.39/0.58 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t95 @t89))) % 0.39/0.58 (step @p127 :rule symm :premises (@p126)) % 0.39/0.58 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.39/0.58 (step @p129 :rule refl :args (@t42)) % 0.39/0.58 (step @p130 :rule refl :args (@t90)) % 0.39/0.58 (step @p131 :rule refl :args (@t96)) % 0.39/0.58 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t96 @t90))) % 0.39/0.58 (step @p133 :rule symm :premises (@p132)) % 0.39/0.58 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.39/0.58 (step @p135 :rule nary_cong :premises (@p134 @p129 @p128 @p123) :args (@t97)) % 0.39/0.58 (step @p136 :rule refl :args (@t46)) % 0.39/0.58 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t98)) % 0.39/0.58 (step @p138 :rule cong :premises (@p137) :args ((forall @t30 @t98))) % 0.39/0.58 (step @p139 :rule beta-reduce :args ((= @t104 @t97))) % 0.39/0.58 (step @p140 :rule nary_cong :premises (@p20 @p139) :args (@t105)) % 0.39/0.58 (step @p141 :rule cong :premises (@p140) :args (@t106)) % 0.39/0.58 (step @p142 :rule trans :premises (@p141 @p138)) % 0.39/0.58 (step @p143 :rule cong :premises (@p142) :args (@t107)) % 0.39/0.58 (step @p144 :rule beta-reduce :args ((= (_ @t59 @t103) @t107))) % 0.39/0.58 (step @p145 :rule trans :premises (@p144 @p143)) % 0.39/0.58 (step @p146 :rule aci_norm :args ((= (and @t101 @t108) @t102))) % 0.39/0.58 (step @p147 :rule beta-reduce :args ((= @t110 @t108))) % 0.39/0.58 (step @p148 :rule refl :args (@t101)) % 0.39/0.58 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t111)) % 0.39/0.58 (step @p150 :rule trans :premises (@p149 @p146)) % 0.39/0.58 (step @p151 :rule cong :premises (@p150) :args (@t112)) % 0.39/0.58 (step @p152 :rule beta-reduce :args ((= (_ @t114 @t109) @t112))) % 0.39/0.58 (step @p153 :rule trans :premises (@p152 @p151)) % 0.39/0.58 (step @p154 :rule aci_norm :args ((= (and @t52 @t115) @t108))) % 0.39/0.58 (step @p155 :rule beta-reduce :args ((= @t117 @t115))) % 0.39/0.58 (step @p156 :rule refl :args (@t52)) % 0.39/0.58 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t118)) % 0.39/0.58 (step @p158 :rule trans :premises (@p157 @p154)) % 0.39/0.58 (step @p159 :rule cong :premises (@p158) :args (@t119)) % 0.39/0.58 (step @p160 :rule beta-reduce :args ((= (_ (lambda @t113 (and @t52 @t21)) @t116) @t119))) % 0.39/0.58 (step @p161 :rule trans :premises (@p160 @p159)) % 0.39/0.58 (step @p162 :rule beta-reduce :args ((= (_ @t120 @t7) @t116))) % 0.39/0.58 (step @p163 :rule refl :args (@t7)) % 0.39/0.58 (step @p164 :rule beta-reduce :args ((= (_ @t23 @t8) @t120))) % 0.39/0.58 (step @p165 :rule ho_cong :premises (@p164 @p163)) % 0.39/0.58 (step @p166 :rule trans :premises (@p165 @p162)) % 0.39/0.58 (step @p167 :rule refl :args (@t21)) % 0.39/0.58 (step @p168 :rule beta-reduce :args ((= @t121 @t52))) % 0.39/0.58 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t122)) % 0.39/0.58 (step @p170 :rule cong :premises (@p169) :args (@t123)) % 0.39/0.58 (step @p171 :rule beta-reduce :args ((= (_ @t23 @t53) @t123))) % 0.39/0.58 (step @p172 :rule trans :premises (@p171 @p170)) % 0.39/0.58 (step @p173 :rule refl :args (@t23)) % 0.39/0.58 (step @p174 :rule ho_cong :premises (@p173 @p44)) % 0.39/0.58 (step @p175 :rule trans :premises (@p174 @p172)) % 0.39/0.58 (step @p176 :rule ho_cong :premises (@p175 @p166)) % 0.39/0.58 (step @p177 :rule trans :premises (@p176 @p161)) % 0.39/0.58 (step @p178 :rule beta-reduce :args ((= (_ @t23 @t13) @t114))) % 0.39/0.58 (step @p179 :rule ho_cong :premises (@p178 @p177)) % 0.39/0.58 (step @p180 :rule trans :premises (@p179 @p153)) % 0.39/0.58 (step @p181 :rule ho_cong :premises (@p45 @p180)) % 0.39/0.58 (step @p182 :rule trans :premises (@p181 @p145)) % 0.39/0.58 (step @p183 :rule ho_cong :premises (@p48 @p182)) % 0.39/0.58 (step @p184 :rule trans :premises (@p183 @p118)) % 0.39/0.58 (step @p185 :rule refl :args (@t8)) % 0.39/0.58 (step @p186 :rule ho_cong :premises (@p8 @p185)) % 0.39/0.58 (step @p187 :rule ho_cong :premises (@p186 @p163)) % 0.39/0.58 (step @p188 :rule ho_cong :premises (@p8 @p75)) % 0.39/0.58 (step @p189 :rule ho_cong :premises (@p188 @p187)) % 0.39/0.58 (step @p190 :rule refl :args (@t13)) % 0.39/0.58 (step @p191 :rule ho_cong :premises (@p8 @p190)) % 0.39/0.58 (step @p192 :rule ho_cong :premises (@p191 @p189)) % 0.39/0.58 (step @p193 :rule ho_cong :premises (@p93 @p192)) % 0.39/0.58 (step @p194 :rule ho_cong :premises (@p6 @p193)) % 0.39/0.58 (step @p195 :rule trans :premises (@p194 @p184)) % 0.39/0.58 (step @p196 :rule eq_resolve :premises (@p3 @p195)) % 0.39/0.58 (step @p197 :rule instantiate :premises (@p196) :args ((@list @t78))) % 0.39/0.58 (step @p198 :rule cnf_or_pos :args (@t124)) % 0.39/0.58 (step @p199 :rule reordering :premises (@p198) :args ((or @t82 @t86 (not @t124)))) % 0.39/0.58 (step @p200 false :rule chain_m_resolution :premises (@p199 @p197 @p115 @p106) :args (false (@list false true false) (@list @t124 @t86 @t79))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------