%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP265^18 : 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 : 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 08:37:17 AM UTC 2026 % Result : Theorem 0.17s 0.37s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NLP265^18 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 05:17:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TH0 % 0.17/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.17/0.37 % SZS status Theorem % 0.17/0.37 % SZS output start Proof % 0.17/0.37 ( % 0.17/0.37 (declare-sort tptp.mindex 0) % 0.17/0.37 (declare-sort tptp.mworld 0) % 0.17/0.37 (declare-sort $$unsorted 0) % 0.17/0.37 (declare-const tptp.mactual tptp.mworld) % 0.17/0.37 (declare-const tptp.mrel (-> tptp.mindex tptp.mworld tptp.mworld Bool)) % 0.17/0.37 (declare-const tptp.bigcity (-> $$unsorted tptp.mworld Bool)) % 0.17/0.37 (declare-const tptp.portland $$unsorted) % 0.17/0.37 (declare-const |tptp.'#b_bob'| tptp.mindex) % 0.17/0.37 (declare-const |tptp.'#b_alice'| tptp.mindex) % 0.17/0.37 (declare-const |tptp.'#i_bob'| tptp.mindex) % 0.17/0.37 (declare-const |tptp.'#i_alice'| tptp.mindex) % 0.17/0.37 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.17/0.37 (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)))))) % 0.17/0.37 (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))))))) % 0.17/0.37 (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))))))) % 0.17/0.37 (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))))))) % 0.17/0.37 (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))))))) % 0.17/0.37 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.17/0.37 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.17/0.37 (define @t1 () (@var "V" tptp.mworld)) % 0.17/0.37 (define @t2 () (@var "W" tptp.mworld)) % 0.17/0.37 (define @t3 () (@list @t2 @t1)) % 0.17/0.37 (define @t4 () (_ (_ (_ tptp.mrel |tptp.'#b_alice'|) @t2) @t1)) % 0.17/0.37 (define @t5 () (forall @t3 @t4)) % 0.17/0.37 (define @t6 () (_ tptp.bigcity tptp.portland)) % 0.17/0.37 (define @t7 () (_ tptp.mbox |tptp.'#b_bob'|)) % 0.17/0.37 (define @t8 () (_ (_ tptp.mbox |tptp.'#i_alice'|) (_ @t7 @t6))) % 0.17/0.37 (define @t9 () (_ tptp.mnot @t6)) % 0.17/0.37 (define @t10 () (_ tptp.mbox |tptp.'#b_alice'|)) % 0.17/0.37 (define @t11 () (_ @t10 (_ @t7 @t9))) % 0.17/0.37 (define @t12 () (_ tptp.mand @t6)) % 0.17/0.37 (define @t13 () (_ @t10 @t6)) % 0.17/0.37 (define @t14 () (not (_ tptp.mlocal @t8))) % 0.17/0.37 (define @t15 () (@var "Phi" (-> tptp.mworld Bool))) % 0.17/0.37 (define @t16 () (lambda (@list @t15) (_ @t15 tptp.mactual))) % 0.17/0.37 (define @t17 () (@var "A" (-> tptp.mworld Bool))) % 0.17/0.37 (define @t18 () (_ @t17 @t2)) % 0.17/0.37 (define @t19 () (lambda (@list @t17 @t2) (not @t18))) % 0.17/0.37 (define @t20 () (@var "B" (-> tptp.mworld Bool))) % 0.17/0.37 (define @t21 () (_ @t20 @t2)) % 0.17/0.37 (define @t22 () (@list @t17 @t20 @t2)) % 0.17/0.37 (define @t23 () (lambda @t22 (and @t18 @t21))) % 0.17/0.37 (define @t24 () (lambda @t22 (or @t18 @t21))) % 0.17/0.37 (define @t25 () (lambda @t22 (=> @t18 @t21))) % 0.17/0.37 (define @t26 () (lambda @t22 (= @t18 @t21))) % 0.17/0.37 (define @t27 () (_ @t15 @t1)) % 0.17/0.37 (define @t28 () (@var "R" tptp.mindex)) % 0.17/0.37 (define @t29 () (_ (_ (_ tptp.mrel @t28) @t2) @t1)) % 0.17/0.37 (define @t30 () (@list @t1)) % 0.17/0.37 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.17/0.37 (define @t32 () (@list @t28 @t15 @t2)) % 0.17/0.37 (define @t33 () (lambda @t32 @t31)) % 0.17/0.37 (define @t34 () (lambda @t32 (exists @t30 (and @t29 @t27)))) % 0.17/0.37 (define @t35 () (tptp.mrel |tptp.'#b_alice'| @t2 @t1)) % 0.17/0.37 (define @t36 () (tptp.bigcity tptp.portland @t1)) % 0.17/0.37 (define @t37 () (not @t35)) % 0.17/0.37 (define @t38 () (@list @t2)) % 0.17/0.37 (define @t39 () (lambda @t38 (forall @t30 (or @t37 @t36)))) % 0.17/0.37 (define @t40 () (_ @t39 tptp.mactual)) % 0.17/0.37 (define @t41 () (_ @t6 @t1)) % 0.17/0.37 (define @t42 () (or @t37 @t41)) % 0.17/0.37 (define @t43 () (_ @t6 @t1)) % 0.17/0.37 (define @t44 () (or @t37 @t43)) % 0.17/0.37 (define @t45 () (forall @t30 @t44)) % 0.17/0.37 (define @t46 () (lambda @t38 @t45)) % 0.17/0.37 (define @t47 () (_ @t15 @t1)) % 0.17/0.37 (define @t48 () (@list @t15 @t2)) % 0.17/0.37 (define @t49 () (lambda @t48 (forall @t30 (or @t37 @t47)))) % 0.17/0.37 (define @t50 () (tptp.mrel @t28 @t2 @t1)) % 0.17/0.37 (define @t51 () (lambda @t32 (forall @t30 (or (not @t50) @t47)))) % 0.17/0.37 (define @t52 () (not @t29)) % 0.17/0.37 (define @t53 () (or @t52 @t27)) % 0.17/0.37 (define @t54 () (@var "BOUND_VARIABLE_7726" tptp.mworld)) % 0.17/0.37 (define @t55 () (tptp.bigcity tptp.portland @t54)) % 0.17/0.37 (define @t56 () (not (tptp.mrel |tptp.'#b_bob'| @t1 @t54))) % 0.17/0.37 (define @t57 () (@list @t1 @t54)) % 0.17/0.37 (define @t58 () (forall @t57 (or (not (tptp.mrel |tptp.'#i_alice'| tptp.mactual @t1)) @t56 @t55))) % 0.17/0.37 (define @t59 () (@quantifiers_skolemize @t58 1)) % 0.17/0.37 (define @t60 () (not (tptp.mrel |tptp.'#i_alice'| @t2 @t1))) % 0.17/0.37 (define @t61 () (or @t60 @t56 @t55)) % 0.17/0.37 (define @t62 () (lambda @t38 (forall @t57 @t61))) % 0.17/0.37 (define @t63 () (_ @t62 tptp.mactual)) % 0.17/0.37 (define @t64 () (or @t56 @t55)) % 0.17/0.37 (define @t65 () (or @t60 @t64)) % 0.17/0.37 (define @t66 () (forall @t57 @t65)) % 0.17/0.37 (define @t67 () (@list @t54)) % 0.17/0.37 (define @t68 () (forall @t67 @t65)) % 0.17/0.37 (define @t69 () (forall @t67 @t64)) % 0.17/0.37 (define @t70 () (@var "BOUND_VARIABLE_7710" tptp.mworld)) % 0.17/0.37 (define @t71 () (@list @t70)) % 0.17/0.37 (define @t72 () (or @t60 @t69)) % 0.17/0.37 (define @t73 () (tptp.bigcity tptp.portland @t70)) % 0.17/0.37 (define @t74 () (@list @t70)) % 0.17/0.37 (define @t75 () (forall @t74 (or (not (tptp.mrel |tptp.'#b_bob'| @t1 @t70)) @t73))) % 0.17/0.37 (define @t76 () (not (tptp.mrel |tptp.'#b_bob'| @t2 @t1))) % 0.17/0.37 (define @t77 () (forall @t30 (or @t76 @t36))) % 0.17/0.37 (define @t78 () (lambda @t38 @t77)) % 0.17/0.37 (define @t79 () (or @t60 (_ @t78 @t1))) % 0.17/0.37 (define @t80 () (forall @t30 @t79)) % 0.17/0.37 (define @t81 () (lambda @t38 @t80)) % 0.17/0.37 (define @t82 () (lambda @t48 (forall @t30 (or @t60 @t47)))) % 0.17/0.37 (define @t83 () (or @t76 @t41)) % 0.17/0.37 (define @t84 () (or @t76 @t43)) % 0.17/0.37 (define @t85 () (forall @t30 @t84)) % 0.17/0.37 (define @t86 () (lambda @t38 @t85)) % 0.17/0.37 (define @t87 () (lambda @t48 (forall @t30 (or @t76 @t47)))) % 0.17/0.37 (define @t88 () (_ @t51 |tptp.'#b_bob'|)) % 0.17/0.37 (define @t89 () (_ @t51 |tptp.'#i_alice'|)) % 0.17/0.37 (define @t90 () (tptp.bigcity tptp.portland @t59)) % 0.17/0.37 (define @t91 () (@quantifiers_skolemize @t58 0)) % 0.17/0.37 (define @t92 () (or (not (tptp.mrel |tptp.'#i_alice'| tptp.mactual @t91)) (not (tptp.mrel |tptp.'#b_bob'| @t91 @t59)) @t90)) % 0.17/0.37 (define @t93 () (tptp.mrel |tptp.'#b_alice'| tptp.mactual @t59)) % 0.17/0.37 (define @t94 () (not @t93)) % 0.17/0.37 (define @t95 () (or @t94 @t90)) % 0.17/0.37 (define @t96 () (@list true false)) % 0.17/0.37 (define @t97 () (forall @t3 @t35)) % 0.17/0.37 (assume @p1 (forall @t3 (_ (_ (_ tptp.mrel |tptp.'#i_alice'|) @t2) @t1))) % 0.17/0.37 (assume @p2 (forall @t3 (_ (_ (_ tptp.mrel |tptp.'#i_bob'|) @t2) @t1))) % 0.17/0.37 (assume @p3 @t5) % 0.17/0.37 (assume @p4 (forall @t3 (_ (_ (_ tptp.mrel |tptp.'#b_bob'|) @t2) @t1))) % 0.17/0.37 (assume @p5 (_ tptp.mlocal (_ @t10 (_ (_ tptp.mimplies (_ @t12 @t11)) @t8)))) % 0.17/0.37 (assume @p6 (_ tptp.mlocal (_ @t7 (_ (_ tptp.mimplies (_ @t12 (_ @t7 (_ @t10 @t9)))) (_ (_ tptp.mbox |tptp.'#i_bob'|) @t13))))) % 0.17/0.37 (assume @p7 (_ tptp.mlocal @t13)) % 0.17/0.37 (assume @p8 (_ tptp.mlocal @t11)) % 0.17/0.37 (assume @p9 @t14) % 0.17/0.37 (assume @p10 true) % 0.17/0.37 (step @p11 (= tptp.mlocal @t16) :rule refl :args (@t16)) % 0.17/0.37 (step @p12 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.17/0.37 (step @p13 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.17/0.37 (step @p14 (= tptp.mor @t24) :rule refl :args (@t24)) % 0.17/0.37 (step @p15 (= tptp.mimplies @t25) :rule refl :args (@t25)) % 0.17/0.37 (step @p16 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.17/0.37 (step @p17 (= tptp.mbox @t33) :rule refl :args (@t33)) % 0.17/0.37 (step @p18 (= tptp.mdia @t34) :rule refl :args (@t34)) % 0.17/0.37 (step @p19 :rule refl :args (@t35)) % 0.17/0.37 (step @p20 :rule refl :args (@t4)) % 0.17/0.37 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t4 @t35))) % 0.17/0.37 (step @p22 :rule symm :premises (@p21)) % 0.17/0.37 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.17/0.37 (step @p24 :rule cong :premises (@p23) :args (@t5)) % 0.17/0.37 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 0.17/0.37 (step @p26 :rule beta-reduce :args ((= @t40 (forall @t30 (or (not (tptp.mrel |tptp.'#b_alice'| tptp.mactual @t1)) @t36))))) % 0.17/0.37 (step @p27 :rule beta-reduce :args ((= (_ @t16 @t39) @t40))) % 0.17/0.37 (step @p28 :rule trans :premises (@p27 @p26)) % 0.17/0.37 (step @p29 :rule refl :args (@t36)) % 0.17/0.37 (step @p30 :rule refl :args (@t41)) % 0.17/0.37 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t41 @t36))) % 0.17/0.37 (step @p32 :rule symm :premises (@p31)) % 0.17/0.37 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.17/0.37 (step @p34 :rule refl :args (@t37)) % 0.17/0.37 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t42)) % 0.17/0.37 (step @p36 :rule cong :premises (@p35) :args ((forall @t30 @t42))) % 0.17/0.37 (step @p37 :rule refl :args (@t43)) % 0.17/0.37 (step @p38 :rule refl :args (@t37)) % 0.17/0.37 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t44)) % 0.17/0.37 (step @p40 :rule cong :premises (@p39) :args (@t45)) % 0.17/0.37 (step @p41 :rule trans :premises (@p40 @p36)) % 0.17/0.37 (step @p42 :rule cong :premises (@p41) :args (@t46)) % 0.17/0.37 (step @p43 :rule beta-reduce :args ((= (_ @t49 @t6) @t46))) % 0.17/0.37 (step @p44 :rule trans :premises (@p43 @p42)) % 0.17/0.37 (step @p45 :rule refl :args (@t6)) % 0.17/0.37 (step @p46 :rule beta-reduce :args ((= (_ @t51 |tptp.'#b_alice'|) @t49))) % 0.17/0.37 (step @p47 :rule ho_cong :premises (@p46 @p45)) % 0.17/0.37 (step @p48 :rule trans :premises (@p47 @p44)) % 0.17/0.37 (step @p49 :rule refl :args (@t16)) % 0.17/0.37 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 0.17/0.37 (step @p51 :rule trans :premises (@p50 @p28)) % 0.17/0.37 (step @p52 :rule refl :args (|tptp.'#b_alice'|)) % 0.17/0.37 (step @p53 :rule refl :args (@t47)) % 0.17/0.37 (step @p54 :rule refl :args (@t27)) % 0.17/0.37 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t27 @t47))) % 0.17/0.37 (step @p56 :rule symm :premises (@p55)) % 0.17/0.37 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.17/0.37 (step @p58 :rule refl :args (@t50)) % 0.17/0.37 (step @p59 :rule refl :args (@t29)) % 0.17/0.37 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t29 @t50))) % 0.17/0.37 (step @p61 :rule symm :premises (@p60)) % 0.17/0.37 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.17/0.37 (step @p63 :rule cong :premises (@p62) :args (@t52)) % 0.17/0.37 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t53)) % 0.17/0.37 (step @p65 :rule cong :premises (@p64) :args ((forall @t30 @t53))) % 0.17/0.37 (step @p66 :rule bool-impl-elim :args (@t29 @t27)) % 0.17/0.37 (step @p67 :rule cong :premises (@p66) :args (@t31)) % 0.17/0.37 (step @p68 :rule trans :premises (@p67 @p65)) % 0.17/0.37 (step @p69 :rule cong :premises (@p68) :args (@t33)) % 0.17/0.37 (step @p70 :rule trans :premises (@p17 @p69)) % 0.17/0.37 (step @p71 :rule ho_cong :premises (@p70 @p52)) % 0.17/0.37 (step @p72 :rule ho_cong :premises (@p71 @p45)) % 0.17/0.37 (step @p73 :rule ho_cong :premises (@p11 @p72)) % 0.17/0.37 (step @p74 :rule trans :premises (@p73 @p51)) % 0.17/0.37 (step @p75 :rule eq_resolve :premises (@p7 @p74)) % 0.17/0.37 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t59))) % 0.17/0.37 (step @p77 :rule beta-reduce :args ((= @t63 @t58))) % 0.17/0.37 (step @p78 :rule beta-reduce :args ((= (_ @t16 @t62) @t63))) % 0.17/0.37 (step @p79 :rule trans :premises (@p78 @p77)) % 0.17/0.37 (step @p80 :rule aci_norm :args ((= @t65 @t61))) % 0.17/0.37 (step @p81 :rule cong :premises (@p80) :args (@t66)) % 0.17/0.37 (step @p82 :rule quant-merge-prenex :args ((= (forall @t30 @t68) @t66))) % 0.17/0.37 (step @p83 :rule alpha_equiv :args (@t69 (@list @t54) @t71)) % 0.17/0.37 (step @p84 :rule refl :args (@t60)) % 0.17/0.37 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t72)) % 0.17/0.37 (step @p86 :rule quant-miniscope-or :args ((= @t68 @t72))) % 0.17/0.37 (step @p87 :rule trans :premises (@p86 @p85)) % 0.17/0.37 (step @p88 :rule symm :premises (@p87)) % 0.17/0.37 (step @p89 :rule cong :premises (@p88) :args ((forall @t30 (or @t60 @t75)))) % 0.17/0.37 (step @p90 :rule trans :premises (@p89 @p82)) % 0.17/0.37 (step @p91 :rule trans :premises (@p90 @p81)) % 0.17/0.37 (step @p92 :rule beta-reduce :args ((= (_ (lambda @t38 (forall @t74 (or (not (tptp.mrel |tptp.'#b_bob'| @t2 @t70)) @t73))) @t1) @t75))) % 0.17/0.37 (step @p93 :rule refl :args (@t1)) % 0.17/0.37 (step @p94 :rule alpha_equiv :args (@t77 (@list @t1) @t71)) % 0.17/0.37 (step @p95 :rule cong :premises (@p94) :args (@t78)) % 0.17/0.37 (step @p96 :rule ho_cong :premises (@p95 @p93)) % 0.17/0.37 (step @p97 :rule trans :premises (@p96 @p92)) % 0.17/0.37 (step @p98 :rule refl :args (@t60)) % 0.17/0.37 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t79)) % 0.17/0.37 (step @p100 :rule cong :premises (@p99) :args (@t80)) % 0.17/0.37 (step @p101 :rule trans :premises (@p100 @p91)) % 0.17/0.37 (step @p102 :rule cong :premises (@p101) :args (@t81)) % 0.17/0.37 (step @p103 :rule beta-reduce :args ((= (_ @t82 @t78) @t81))) % 0.17/0.37 (step @p104 :rule trans :premises (@p103 @p102)) % 0.17/0.37 (step @p105 :rule refl :args (@t76)) % 0.17/0.37 (step @p106 :rule nary_cong :premises (@p105 @p33) :args (@t83)) % 0.17/0.37 (step @p107 :rule cong :premises (@p106) :args ((forall @t30 @t83))) % 0.17/0.37 (step @p108 :rule refl :args (@t76)) % 0.17/0.37 (step @p109 :rule nary_cong :premises (@p108 @p37) :args (@t84)) % 0.17/0.37 (step @p110 :rule cong :premises (@p109) :args (@t85)) % 0.17/0.37 (step @p111 :rule trans :premises (@p110 @p107)) % 0.17/0.37 (step @p112 :rule cong :premises (@p111) :args (@t86)) % 0.17/0.37 (step @p113 :rule beta-reduce :args ((= (_ @t87 @t6) @t86))) % 0.17/0.37 (step @p114 :rule trans :premises (@p113 @p112)) % 0.17/0.37 (step @p115 :rule beta-reduce :args ((= @t88 @t87))) % 0.17/0.37 (step @p116 :rule ho_cong :premises (@p115 @p45)) % 0.17/0.37 (step @p117 :rule trans :premises (@p116 @p114)) % 0.17/0.37 (step @p118 :rule beta-reduce :args ((= @t89 @t82))) % 0.17/0.37 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 0.17/0.37 (step @p120 :rule trans :premises (@p119 @p104)) % 0.17/0.37 (step @p121 :rule ho_cong :premises (@p49 @p120)) % 0.17/0.37 (step @p122 :rule trans :premises (@p121 @p79)) % 0.17/0.37 (step @p123 :rule cong :premises (@p122) :args ((not (_ @t16 (_ @t89 (_ @t88 @t6)))))) % 0.17/0.37 (step @p124 :rule refl :args (|tptp.'#b_bob'|)) % 0.17/0.37 (step @p125 :rule ho_cong :premises (@p70 @p124)) % 0.17/0.37 (step @p126 :rule ho_cong :premises (@p125 @p45)) % 0.17/0.37 (step @p127 :rule refl :args (|tptp.'#i_alice'|)) % 0.17/0.37 (step @p128 :rule ho_cong :premises (@p70 @p127)) % 0.17/0.37 (step @p129 :rule ho_cong :premises (@p128 @p126)) % 0.17/0.37 (step @p130 :rule ho_cong :premises (@p11 @p129)) % 0.17/0.37 (step @p131 :rule cong :premises (@p130) :args (@t14)) % 0.17/0.37 (step @p132 :rule trans :premises (@p131 @p123)) % 0.17/0.37 (step @p133 :rule eq_resolve :premises (@p9 @p132)) % 0.17/0.37 (step @p134 :rule skolemize :premises (@p133)) % 0.17/0.37 (step @p135 :rule cnf_or_neg :args (@t92 2)) % 0.17/0.37 (step @p136 :rule chain_m_resolution :premises (@p135 @p134) :args ((not @t90) (@list true) (@list @t92))) % 0.17/0.37 (step @p137 :rule cnf_or_pos :args (@t95)) % 0.17/0.37 (step @p138 :rule reordering :premises (@p137) :args ((or @t90 @t94 (not @t95)))) % 0.17/0.37 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p76) :args (@t94 @t96 (@list @t90 @t95))) % 0.17/0.37 (assume-push @p146 @t97) % 0.17/0.37 (step @p141 :rule instantiate :premises (@p25) :args ((@list tptp.mactual @t59))) % 0.17/0.37 (step-pop @p147 :rule scope :premises (@p141)) % 0.17/0.37 (step @p142 :rule process_scope :premises (@p147) :args (@t93)) % 0.17/0.37 (step @p144 :rule implies_elim :premises (@p142)) % 0.17/0.37 (step @p145 false :rule chain_m_resolution :premises (@p144 @p139 @p25) :args (false @t96 (@list @t93 @t97))) % 0.17/0.37 ) % 0.17/0.37 % SZS output end Proof % 0.17/0.37 % cvc5 exiting %------------------------------------------------------------------------------