%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP267^17 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:37:18 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP267^17 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 : Tue Jun 2 10:18:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-sort tptp.mworld 0) % 0.37/0.58 (declare-sort tptp.mindex 0) % 0.37/0.58 (declare-const tptp.mactual tptp.mworld) % 0.37/0.58 (declare-const tptp.mrel (-> tptp.mindex tptp.mworld tptp.mworld Bool)) % 0.37/0.58 (declare-const tptp.second $$unsorted) % 0.37/0.58 (declare-const |tptp.'#b_u'| tptp.mindex) % 0.37/0.58 (declare-const |tptp.'#b_s'| tptp.mindex) % 0.37/0.58 (declare-const tptp.ninetyfive $$unsorted) % 0.37/0.58 (declare-const tptp.first $$unsorted) % 0.37/0.58 (declare-const tptp.paris $$unsorted) % 0.37/0.58 (declare-const tptp.dest (-> $$unsorted tptp.mworld Bool)) % 0.37/0.58 (declare-const tptp.price (-> $$unsorted tptp.mworld Bool)) % 0.37/0.58 (declare-const tptp.class (-> $$unsorted tptp.mworld Bool)) % 0.37/0.58 (declare-const tptp.seventy $$unsorted) % 0.37/0.58 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.37/0.58 (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)))))) % 0.37/0.58 (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))))))) % 0.37/0.58 (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))))))) % 0.37/0.58 (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))))))) % 0.37/0.58 (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))))))) % 0.37/0.58 (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))) (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))))))))) % 0.37/0.58 (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))) (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))))))))) % 0.37/0.58 (define @t1 () (@var "W" tptp.mworld)) % 0.37/0.58 (define @t2 () (_ tptp.mrel |tptp.'#b_u'|)) % 0.37/0.58 (define @t3 () (_ @t2 @t1)) % 0.37/0.58 (define @t4 () (@list @t1)) % 0.37/0.58 (define @t5 () (@var "V" tptp.mworld)) % 0.37/0.58 (define @t6 () (@var "U" tptp.mworld)) % 0.37/0.58 (define @t7 () (@list @t1 @t5 @t6)) % 0.37/0.58 (define @t8 () (_ tptp.mrel |tptp.'#b_s'|)) % 0.37/0.58 (define @t9 () (_ @t8 @t1)) % 0.37/0.58 (define @t10 () (_ tptp.price tptp.ninetyfive)) % 0.37/0.58 (define @t11 () (_ tptp.class tptp.first)) % 0.37/0.58 (define @t12 () (_ tptp.dest tptp.paris)) % 0.37/0.58 (define @t13 () (_ tptp.mand @t12)) % 0.37/0.58 (define @t14 () (_ tptp.mbox |tptp.'#b_s'|)) % 0.37/0.58 (define @t15 () (_ tptp.price tptp.seventy)) % 0.37/0.58 (define @t16 () (_ tptp.class tptp.second)) % 0.37/0.58 (define @t17 () (_ @t13 @t16)) % 0.37/0.58 (define @t18 () (_ tptp.mnot (_ (_ tptp.mand @t11) @t16))) % 0.37/0.58 (define @t19 () (_ tptp.mbox |tptp.'#b_u'|)) % 0.37/0.58 (define @t20 () (_ tptp.mnot (_ (_ tptp.mand @t15) @t10))) % 0.37/0.58 (define @t21 () (not (_ tptp.mlocal (_ @t14 @t15)))) % 0.37/0.58 (define @t22 () (@var "Phi" (-> tptp.mworld Bool))) % 0.37/0.58 (define @t23 () (lambda (@list @t22) (_ @t22 tptp.mactual))) % 0.37/0.58 (define @t24 () (@var "A" (-> tptp.mworld Bool))) % 0.37/0.58 (define @t25 () (_ @t24 @t1)) % 0.37/0.58 (define @t26 () (lambda (@list @t24 @t1) (not @t25))) % 0.37/0.58 (define @t27 () (@var "B" (-> tptp.mworld Bool))) % 0.37/0.58 (define @t28 () (_ @t27 @t1)) % 0.37/0.58 (define @t29 () (@list @t24 @t27 @t1)) % 0.37/0.58 (define @t30 () (lambda @t29 (and @t25 @t28))) % 0.37/0.58 (define @t31 () (lambda @t29 (or @t25 @t28))) % 0.37/0.58 (define @t32 () (lambda @t29 (=> @t25 @t28))) % 0.37/0.58 (define @t33 () (lambda @t29 (= @t25 @t28))) % 0.37/0.58 (define @t34 () (_ @t22 @t5)) % 0.37/0.58 (define @t35 () (@var "R" tptp.mindex)) % 0.37/0.58 (define @t36 () (_ (_ (_ tptp.mrel @t35) @t1) @t5)) % 0.37/0.58 (define @t37 () (@list @t5)) % 0.37/0.58 (define @t38 () (forall @t37 (=> @t36 @t34))) % 0.37/0.58 (define @t39 () (@list @t35 @t22 @t1)) % 0.37/0.58 (define @t40 () (lambda @t39 @t38)) % 0.37/0.58 (define @t41 () (lambda @t39 (exists @t37 (and @t36 @t34)))) % 0.37/0.58 (define @t42 () (tptp.price tptp.seventy @t5)) % 0.37/0.58 (define @t43 () (not (tptp.mrel |tptp.'#b_s'| tptp.mactual @t5))) % 0.37/0.58 (define @t44 () (forall @t37 (or @t43 @t42))) % 0.37/0.58 (define @t45 () (not (tptp.mrel |tptp.'#b_s'| @t1 @t5))) % 0.37/0.58 (define @t46 () (lambda @t4 (forall @t37 (or @t45 @t42)))) % 0.37/0.58 (define @t47 () (_ @t46 tptp.mactual)) % 0.37/0.58 (define @t48 () (_ @t15 @t5)) % 0.37/0.58 (define @t49 () (or @t45 @t48)) % 0.37/0.58 (define @t50 () (_ @t15 @t5)) % 0.37/0.58 (define @t51 () (or @t45 @t50)) % 0.37/0.58 (define @t52 () (forall @t37 @t51)) % 0.37/0.58 (define @t53 () (lambda @t4 @t52)) % 0.37/0.58 (define @t54 () (_ @t22 @t5)) % 0.37/0.58 (define @t55 () (lambda (@list @t22 @t1) (forall @t37 (or @t45 @t54)))) % 0.37/0.58 (define @t56 () (tptp.mrel @t35 @t1 @t5)) % 0.37/0.58 (define @t57 () (_ (lambda @t39 (forall @t37 (or (not @t56) @t54))) |tptp.'#b_s'|)) % 0.37/0.58 (define @t58 () (not @t36)) % 0.37/0.58 (define @t59 () (or @t58 @t34)) % 0.37/0.58 (define @t60 () (@quantifiers_skolemize @t44 0)) % 0.37/0.58 (define @t61 () (tptp.mrel |tptp.'#b_s'| tptp.mactual @t60)) % 0.37/0.58 (define @t62 () (tptp.price tptp.seventy @t60)) % 0.37/0.58 (define @t63 () (not @t61)) % 0.37/0.58 (define @t64 () (or @t63 @t62)) % 0.37/0.58 (define @t65 () (@list true)) % 0.37/0.58 (define @t66 () (@list @t64)) % 0.37/0.58 (define @t67 () (tptp.class tptp.second @t5)) % 0.37/0.58 (define @t68 () (not @t67)) % 0.37/0.58 (define @t69 () (tptp.dest tptp.paris @t5)) % 0.37/0.58 (define @t70 () (not @t69)) % 0.37/0.58 (define @t71 () (lambda @t4 (forall @t37 (or @t45 @t70 @t68 @t42)))) % 0.37/0.58 (define @t72 () (_ @t71 tptp.mactual)) % 0.37/0.58 (define @t73 () (_ @t16 @t5)) % 0.37/0.58 (define @t74 () (not @t73)) % 0.37/0.58 (define @t75 () (_ @t12 @t5)) % 0.37/0.58 (define @t76 () (not @t75)) % 0.37/0.58 (define @t77 () (or @t45 @t76 @t74 @t48)) % 0.37/0.58 (define @t78 () (or @t76 @t74 @t48)) % 0.37/0.58 (define @t79 () (and @t75 @t73)) % 0.37/0.58 (define @t80 () (=> @t79 @t48)) % 0.37/0.58 (define @t81 () (or @t45 @t80)) % 0.37/0.58 (define @t82 () (_ @t12 @t1)) % 0.37/0.58 (define @t83 () (and @t82 (_ @t16 @t1))) % 0.37/0.58 (define @t84 () (lambda @t4 (=> @t83 (_ @t15 @t1)))) % 0.37/0.58 (define @t85 () (_ @t84 @t5)) % 0.37/0.58 (define @t86 () (or @t45 @t85)) % 0.37/0.58 (define @t87 () (forall @t37 @t86)) % 0.37/0.58 (define @t88 () (lambda @t4 @t87)) % 0.37/0.58 (define @t89 () (@list @t27 @t1)) % 0.37/0.58 (define @t90 () (lambda @t4 @t83)) % 0.37/0.58 (define @t91 () (_ @t90 @t1)) % 0.37/0.58 (define @t92 () (=> @t91 @t28)) % 0.37/0.58 (define @t93 () (lambda @t89 @t92)) % 0.37/0.58 (define @t94 () (lambda @t89 (and @t82 @t28))) % 0.37/0.58 (define @t95 () (@list @t60)) % 0.37/0.58 (define @t96 () (and @t69 @t67)) % 0.37/0.58 (define @t97 () (lambda @t4 (forall @t37 (or @t45 @t96)))) % 0.37/0.58 (define @t98 () (_ @t97 tptp.mactual)) % 0.37/0.58 (define @t99 () (or @t45 @t79)) % 0.37/0.58 (define @t100 () (_ @t90 @t5)) % 0.37/0.58 (define @t101 () (or @t45 @t100)) % 0.37/0.58 (define @t102 () (forall @t37 @t101)) % 0.37/0.58 (define @t103 () (lambda @t4 @t102)) % 0.37/0.58 (define @t104 () (tptp.class tptp.second @t60)) % 0.37/0.58 (define @t105 () (tptp.dest tptp.paris @t60)) % 0.37/0.58 (define @t106 () (and @t105 @t104)) % 0.37/0.58 (define @t107 () (or @t63 @t106)) % 0.37/0.58 (define @t108 () (not @t106)) % 0.37/0.58 (define @t109 () (@list false)) % 0.37/0.58 (define @t110 () (@list @t106)) % 0.37/0.58 (define @t111 () (not @t104)) % 0.37/0.58 (define @t112 () (not @t105)) % 0.37/0.58 (define @t113 () (or @t63 @t112 @t111 @t62)) % 0.37/0.58 (assume @p1 (forall @t4 (_ @t3 @t1))) % 0.37/0.58 (assume @p2 (forall @t7 (=> (and (_ @t3 @t6) (_ @t3 @t5)) (_ (_ @t2 @t6) @t5)))) % 0.37/0.58 (assume @p3 (forall @t4 (_ @t9 @t1))) % 0.37/0.58 (assume @p4 (forall @t7 (=> (and (_ @t9 @t6) (_ @t9 @t5)) (_ (_ @t8 @t6) @t5)))) % 0.37/0.58 (assume @p5 (_ tptp.mlocal (_ @t14 (_ (_ tptp.mimplies (_ @t13 @t11)) @t10)))) % 0.37/0.58 (assume @p6 (_ tptp.mlocal (_ @t14 (_ (_ tptp.mimplies @t17) @t15)))) % 0.37/0.58 (assume @p7 (_ tptp.mlocal (_ @t14 @t18))) % 0.37/0.58 (assume @p8 (_ tptp.mlocal (_ @t19 @t18))) % 0.37/0.58 (assume @p9 (_ tptp.mlocal (_ @t14 @t20))) % 0.37/0.58 (assume @p10 (_ tptp.mlocal (_ @t19 @t20))) % 0.37/0.58 (assume @p11 (_ tptp.mlocal (_ @t14 @t17))) % 0.37/0.58 (assume @p12 @t21) % 0.37/0.58 (assume @p13 true) % 0.37/0.58 (step @p14 (= tptp.mlocal @t23) :rule refl :args (@t23)) % 0.37/0.58 (step @p15 (= tptp.mnot @t26) :rule refl :args (@t26)) % 0.37/0.58 (step @p16 (= tptp.mand @t30) :rule refl :args (@t30)) % 0.37/0.58 (step @p17 (= tptp.mor @t31) :rule refl :args (@t31)) % 0.37/0.58 (step @p18 (= tptp.mimplies @t32) :rule refl :args (@t32)) % 0.37/0.58 (step @p19 (= tptp.mequiv @t33) :rule refl :args (@t33)) % 0.37/0.58 (step @p20 (= tptp.mbox @t40) :rule refl :args (@t40)) % 0.37/0.58 (step @p21 (= tptp.mdia @t41) :rule refl :args (@t41)) % 0.37/0.58 (step @p22 :rule beta-reduce :args ((= @t47 @t44))) % 0.37/0.58 (step @p23 :rule beta-reduce :args ((= (_ @t23 @t46) @t47))) % 0.37/0.58 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.58 (step @p25 :rule refl :args (@t42)) % 0.37/0.58 (step @p26 :rule refl :args (@t48)) % 0.37/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t48 @t42))) % 0.37/0.58 (step @p28 :rule symm :premises (@p27)) % 0.37/0.58 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.58 (step @p30 :rule refl :args (@t45)) % 0.37/0.58 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t49)) % 0.37/0.58 (step @p32 :rule cong :premises (@p31) :args ((forall @t37 @t49))) % 0.37/0.58 (step @p33 :rule refl :args (@t50)) % 0.37/0.58 (step @p34 :rule refl :args (@t45)) % 0.37/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t51)) % 0.37/0.58 (step @p36 :rule cong :premises (@p35) :args (@t52)) % 0.37/0.58 (step @p37 :rule trans :premises (@p36 @p32)) % 0.37/0.58 (step @p38 :rule cong :premises (@p37) :args (@t53)) % 0.37/0.58 (step @p39 :rule beta-reduce :args ((= (_ @t55 @t15) @t53))) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.58 (step @p41 :rule refl :args (@t15)) % 0.37/0.58 (step @p42 :rule beta-reduce :args ((= @t57 @t55))) % 0.37/0.58 (step @p43 :rule ho_cong :premises (@p42 @p41)) % 0.37/0.58 (step @p44 :rule trans :premises (@p43 @p40)) % 0.37/0.58 (step @p45 :rule refl :args (@t23)) % 0.37/0.58 (step @p46 :rule ho_cong :premises (@p45 @p44)) % 0.37/0.58 (step @p47 :rule trans :premises (@p46 @p24)) % 0.37/0.58 (step @p48 :rule cong :premises (@p47) :args ((not (_ @t23 (_ @t57 @t15))))) % 0.37/0.58 (step @p49 :rule refl :args (|tptp.'#b_s'|)) % 0.37/0.58 (step @p50 :rule refl :args (@t54)) % 0.37/0.58 (step @p51 :rule refl :args (@t34)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t34 @t54))) % 0.37/0.58 (step @p53 :rule symm :premises (@p52)) % 0.37/0.58 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.37/0.58 (step @p55 :rule refl :args (@t56)) % 0.37/0.58 (step @p56 :rule refl :args (@t36)) % 0.37/0.58 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t36 @t56))) % 0.37/0.58 (step @p58 :rule symm :premises (@p57)) % 0.37/0.58 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.37/0.58 (step @p60 :rule cong :premises (@p59) :args (@t58)) % 0.37/0.58 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t59)) % 0.37/0.58 (step @p62 :rule cong :premises (@p61) :args ((forall @t37 @t59))) % 0.37/0.58 (step @p63 :rule bool-impl-elim :args (@t36 @t34)) % 0.37/0.58 (step @p64 :rule cong :premises (@p63) :args (@t38)) % 0.37/0.58 (step @p65 :rule trans :premises (@p64 @p62)) % 0.37/0.58 (step @p66 :rule cong :premises (@p65) :args (@t40)) % 0.37/0.58 (step @p67 :rule trans :premises (@p20 @p66)) % 0.37/0.58 (step @p68 :rule ho_cong :premises (@p67 @p49)) % 0.37/0.58 (step @p69 :rule ho_cong :premises (@p68 @p41)) % 0.37/0.58 (step @p70 :rule ho_cong :premises (@p14 @p69)) % 0.37/0.58 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p48)) % 0.37/0.58 (step @p73 :rule eq_resolve :premises (@p12 @p72)) % 0.37/0.58 (step @p74 :rule skolemize :premises (@p73)) % 0.37/0.58 (step @p75 :rule bool-double-not-elim :args (@t61)) % 0.37/0.58 (step @p76 :rule refl :args (@t64)) % 0.37/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t64 (not @t63)))) % 0.37/0.58 (step @p78 :rule cnf_or_neg :args (@t64 0)) % 0.37/0.58 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.37/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t61 @t64))) % 0.37/0.58 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t61 @t65 @t66)) % 0.37/0.58 (step @p82 :rule cnf_or_neg :args (@t64 1)) % 0.37/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p74) :args ((not @t62) @t65 @t66)) % 0.37/0.58 (step @p84 :rule beta-reduce :args ((= @t72 (forall @t37 (or @t43 @t70 @t68 @t42))))) % 0.37/0.58 (step @p85 :rule beta-reduce :args ((= (_ @t23 @t71) @t72))) % 0.37/0.58 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.58 (step @p87 :rule refl :args (@t67)) % 0.37/0.58 (step @p88 :rule refl :args (@t73)) % 0.37/0.58 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t73 @t67))) % 0.37/0.58 (step @p90 :rule symm :premises (@p89)) % 0.37/0.58 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.37/0.58 (step @p92 :rule cong :premises (@p91) :args (@t74)) % 0.37/0.58 (step @p93 :rule refl :args (@t69)) % 0.37/0.58 (step @p94 :rule refl :args (@t75)) % 0.37/0.58 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t75 @t69))) % 0.37/0.58 (step @p96 :rule symm :premises (@p95)) % 0.37/0.58 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.37/0.58 (step @p98 :rule cong :premises (@p97) :args (@t76)) % 0.37/0.58 (step @p99 :rule nary_cong :premises (@p30 @p98 @p92 @p29) :args (@t77)) % 0.37/0.58 (step @p100 :rule cong :premises (@p99) :args ((forall @t37 @t77))) % 0.37/0.58 (step @p101 :rule aci_norm :args ((= (or @t45 @t78) @t77))) % 0.37/0.58 (step @p102 :rule aci_norm :args ((= (or (or @t76 @t74) @t48) @t78))) % 0.37/0.58 (step @p103 :rule bool-and-de-morgan :args (@t75 @t73 true)) % 0.37/0.58 (step @p104 :rule nary_cong :premises (@p103 @p26) :args ((or (not @t79) @t48))) % 0.37/0.58 (step @p105 :rule trans :premises (@p104 @p102)) % 0.37/0.58 (step @p106 :rule bool-impl-elim :args (@t79 @t48)) % 0.37/0.58 (step @p107 :rule trans :premises (@p106 @p105)) % 0.37/0.58 (step @p108 :rule nary_cong :premises (@p30 @p107) :args (@t81)) % 0.37/0.58 (step @p109 :rule trans :premises (@p108 @p101)) % 0.37/0.58 (step @p110 :rule cong :premises (@p109) :args ((forall @t37 @t81))) % 0.37/0.58 (step @p111 :rule trans :premises (@p110 @p100)) % 0.37/0.58 (step @p112 :rule beta-reduce :args ((= @t85 @t80))) % 0.37/0.58 (step @p113 :rule nary_cong :premises (@p34 @p112) :args (@t86)) % 0.37/0.58 (step @p114 :rule cong :premises (@p113) :args (@t87)) % 0.37/0.58 (step @p115 :rule trans :premises (@p114 @p111)) % 0.37/0.58 (step @p116 :rule cong :premises (@p115) :args (@t88)) % 0.37/0.58 (step @p117 :rule beta-reduce :args ((= (_ @t55 @t84) @t88))) % 0.37/0.58 (step @p118 :rule trans :premises (@p117 @p116)) % 0.37/0.58 (step @p119 :rule beta-reduce :args ((= (_ (lambda @t89 (=> @t83 @t28)) @t15) @t84))) % 0.37/0.58 (step @p120 :rule refl :args (@t28)) % 0.37/0.58 (step @p121 :rule beta-reduce :args ((= @t91 @t83))) % 0.37/0.58 (step @p122 :rule cong :premises (@p121 @p120) :args (@t92)) % 0.37/0.58 (step @p123 :rule cong :premises (@p122) :args (@t93)) % 0.37/0.58 (step @p124 :rule beta-reduce :args ((= (_ @t32 @t90) @t93))) % 0.37/0.58 (step @p125 :rule trans :premises (@p124 @p123)) % 0.37/0.58 (step @p126 :rule beta-reduce :args ((= (_ @t94 @t16) @t90))) % 0.37/0.58 (step @p127 :rule refl :args (@t16)) % 0.37/0.58 (step @p128 :rule beta-reduce :args ((= (_ @t30 @t12) @t94))) % 0.37/0.58 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 0.37/0.58 (step @p130 :rule trans :premises (@p129 @p126)) % 0.37/0.58 (step @p131 :rule refl :args (@t32)) % 0.37/0.58 (step @p132 :rule ho_cong :premises (@p131 @p130)) % 0.37/0.58 (step @p133 :rule trans :premises (@p132 @p125)) % 0.37/0.58 (step @p134 :rule ho_cong :premises (@p133 @p41)) % 0.37/0.58 (step @p135 :rule trans :premises (@p134 @p119)) % 0.37/0.58 (step @p136 :rule ho_cong :premises (@p42 @p135)) % 0.37/0.58 (step @p137 :rule trans :premises (@p136 @p118)) % 0.37/0.58 (step @p138 :rule ho_cong :premises (@p45 @p137)) % 0.37/0.58 (step @p139 :rule trans :premises (@p138 @p86)) % 0.37/0.58 (step @p140 :rule refl :args (@t12)) % 0.37/0.58 (step @p141 :rule ho_cong :premises (@p16 @p140)) % 0.37/0.58 (step @p142 :rule ho_cong :premises (@p141 @p127)) % 0.37/0.58 (step @p143 :rule ho_cong :premises (@p18 @p142)) % 0.37/0.58 (step @p144 :rule ho_cong :premises (@p143 @p41)) % 0.37/0.58 (step @p145 :rule ho_cong :premises (@p68 @p144)) % 0.37/0.58 (step @p146 :rule ho_cong :premises (@p14 @p145)) % 0.37/0.58 (step @p147 :rule trans :premises (@p146 @p139)) % 0.37/0.58 (step @p148 :rule eq_resolve :premises (@p6 @p147)) % 0.37/0.58 (step @p149 :rule instantiate :premises (@p148) :args (@t95)) % 0.37/0.58 (step @p150 :rule beta-reduce :args ((= @t98 (forall @t37 (or @t43 @t96))))) % 0.37/0.58 (step @p151 :rule beta-reduce :args ((= (_ @t23 @t97) @t98))) % 0.37/0.58 (step @p152 :rule trans :premises (@p151 @p150)) % 0.37/0.58 (step @p153 :rule nary_cong :premises (@p97 @p91) :args (@t79)) % 0.37/0.58 (step @p154 :rule nary_cong :premises (@p30 @p153) :args (@t99)) % 0.37/0.58 (step @p155 :rule cong :premises (@p154) :args ((forall @t37 @t99))) % 0.37/0.58 (step @p156 :rule beta-reduce :args ((= @t100 @t79))) % 0.37/0.58 (step @p157 :rule nary_cong :premises (@p34 @p156) :args (@t101)) % 0.37/0.58 (step @p158 :rule cong :premises (@p157) :args (@t102)) % 0.37/0.58 (step @p159 :rule trans :premises (@p158 @p155)) % 0.37/0.58 (step @p160 :rule cong :premises (@p159) :args (@t103)) % 0.37/0.58 (step @p161 :rule beta-reduce :args ((= (_ @t55 @t90) @t103))) % 0.37/0.58 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.58 (step @p163 :rule ho_cong :premises (@p42 @p130)) % 0.37/0.58 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.58 (step @p165 :rule ho_cong :premises (@p45 @p164)) % 0.37/0.58 (step @p166 :rule trans :premises (@p165 @p152)) % 0.37/0.58 (step @p167 :rule ho_cong :premises (@p68 @p142)) % 0.37/0.58 (step @p168 :rule ho_cong :premises (@p14 @p167)) % 0.37/0.58 (step @p169 :rule trans :premises (@p168 @p166)) % 0.37/0.58 (step @p170 :rule eq_resolve :premises (@p11 @p169)) % 0.37/0.58 (step @p171 :rule instantiate :premises (@p170) :args (@t95)) % 0.37/0.58 (step @p172 :rule cnf_or_pos :args (@t107)) % 0.37/0.58 (step @p173 :rule reordering :premises (@p172) :args ((or @t63 @t106 (not @t107)))) % 0.37/0.58 (step @p174 :rule chain_m_resolution :premises (@p173 @p81 @p171) :args (@t106 (@list false false) (@list @t61 @t107))) % 0.37/0.58 (step @p175 :rule cnf_and_pos :args (@t106 0)) % 0.37/0.58 (step @p176 :rule reordering :premises (@p175) :args ((or @t105 @t108))) % 0.37/0.58 (step @p177 :rule chain_m_resolution :premises (@p176 @p174) :args (@t105 @t109 @t110)) % 0.37/0.58 (step @p178 :rule cnf_and_pos :args (@t106 1)) % 0.37/0.58 (step @p179 :rule reordering :premises (@p178) :args ((or @t104 @t108))) % 0.37/0.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p174) :args (@t104 @t109 @t110)) % 0.37/0.58 (step @p181 :rule cnf_or_pos :args (@t113)) % 0.37/0.58 (step @p182 :rule reordering :premises (@p181) :args ((or @t63 @t62 @t112 @t111 (not @t113)))) % 0.37/0.58 (step @p183 false :rule chain_m_resolution :premises (@p182 @p180 @p177 @p149 @p83 @p81) :args (false (@list false false false true false) (@list @t104 @t105 @t113 @t62 @t61))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------