%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU493^1 : 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 : n027.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 08:51:56 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU493^1 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:38:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.38/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.38/0.62 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.38/0.62 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.38/0.62 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.38/0.62 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.38/0.62 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.62 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.38/0.62 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.62 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.62 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.38/0.62 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.38/0.62 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.62 (define tptp.trans () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "Y" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.38/0.62 (define tptp.tc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_1) (forall (@list _let_3) (=> (and (_ tptp.trans _let_3) (_ (_ tptp.subrel _let_4) _let_3)) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.38/0.62 (define tptp.trc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.rc (_ tptp.tc _let_3)) _let_2) _let_1)))))) % 0.38/0.62 (define tptp.trsc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.sc (_ tptp.rc (_ tptp.tc _let_3))) _let_2) _let_1)))))) % 0.38/0.62 (define tptp.po () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.refl _let_1) (_ tptp.antisymm _let_1) (_ tptp.trans _let_1))))) % 0.38/0.62 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.38/0.62 (define tptp.total () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (or (= _let_1 _let_2) (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.62 (define tptp.term () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "A" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.38/0.62 (define tptp.ind () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@list _let_1))) (let ((_let_5 (@var "Y" $$unsorted))) (let ((_let_6 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_6) (forall (@list _let_2) (=> (forall _let_4 (=> (forall (@list _let_5) (=> (_ (_ (_ tptp.tc _let_6) _let_1) _let_5) (_ _let_2 _let_5))) _let_3)) (forall _let_4 _let_3))))))))))) % 0.38/0.62 (define tptp.innf () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (not (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.62 (define tptp.nfof () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "Y" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (and (_ (_ (_ tptp.trc _let_2) _let_3) _let_1) (_ (_ tptp.innf _let_2) _let_1))))))) % 0.38/0.62 (define tptp.norm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1) (exists (@list _let_2) (_ (_ (_ tptp.nfof _let_3) _let_2) _let_1)))))))) % 0.38/0.62 (define tptp.join () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ tptp.trc _let_3))) (let ((_let_5 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.38/0.62 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))) % 0.38/0.62 (define tptp.sconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.38/0.62 (define tptp.confl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ (_ tptp.trc _let_3) _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))) % 0.38/0.62 (define tptp.cr () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ (_ tptp.trsc _let_3) _let_2) _let_1) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))) % 0.38/0.62 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.62 (define @t2 () (=> (_ tptp.po @t1) (_ tptp.po (_ tptp.inv @t1)))) % 0.38/0.62 (define @t3 () (@list @t1)) % 0.38/0.62 (define @t4 () (forall @t3 @t2)) % 0.38/0.62 (define @t5 () (not @t4)) % 0.38/0.62 (define @t6 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t8 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.38/0.62 (define @t9 () (_ (_ @t8 @t7) @t6)) % 0.38/0.62 (define @t10 () (_ @t1 @t7)) % 0.38/0.62 (define @t11 () (_ @t10 @t6)) % 0.38/0.62 (define @t12 () (@list @t7 @t6)) % 0.38/0.62 (define @t13 () (@list @t1 @t8)) % 0.38/0.62 (define @t14 () (lambda @t13 (forall @t12 (=> @t11 @t9)))) % 0.38/0.62 (define @t15 () (_ @t1 @t6)) % 0.38/0.62 (define @t16 () (_ @t15 @t7)) % 0.38/0.62 (define @t17 () (@list @t1 @t7 @t6)) % 0.38/0.62 (define @t18 () (lambda @t17 @t16)) % 0.38/0.62 (define @t19 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.38/0.62 (define @t20 () (_ @t19 @t1)) % 0.38/0.62 (define @t21 () (@list @t19)) % 0.38/0.62 (define @t22 () (lambda @t21 (forall @t3 (= (_ @t19 @t20) @t20)))) % 0.38/0.62 (define @t23 () (_ tptp.subrel @t1)) % 0.38/0.62 (define @t24 () (lambda @t21 (forall @t3 (_ @t23 @t20)))) % 0.38/0.62 (define @t25 () (_ @t23 @t8)) % 0.38/0.62 (define @t26 () (lambda @t21 (forall @t13 (=> @t25 (_ (_ tptp.subrel @t20) (_ @t19 @t8)))))) % 0.38/0.62 (define @t27 () (_ @t10 @t7)) % 0.38/0.62 (define @t28 () (@list @t7)) % 0.38/0.62 (define @t29 () (forall @t28 @t27)) % 0.38/0.62 (define @t30 () (lambda @t3 @t29)) % 0.38/0.62 (define @t31 () (lambda @t3 (forall @t28 (not @t27)))) % 0.38/0.62 (define @t32 () (= @t7 @t6)) % 0.38/0.62 (define @t33 () (lambda @t17 (or @t32 @t11))) % 0.38/0.62 (define @t34 () (lambda @t3 (forall @t12 (=> @t11 @t16)))) % 0.38/0.62 (define @t35 () (and @t11 @t16)) % 0.38/0.62 (define @t36 () (forall @t12 (=> @t35 @t32))) % 0.38/0.62 (define @t37 () (lambda @t3 @t36)) % 0.38/0.62 (define @t38 () (not @t16)) % 0.38/0.62 (define @t39 () (lambda @t3 (forall @t12 (=> @t11 @t38)))) % 0.38/0.62 (define @t40 () (lambda @t17 (or @t16 @t11))) % 0.38/0.62 (define @t41 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t42 () (_ @t10 @t41)) % 0.38/0.62 (define @t43 () (_ @t15 @t41)) % 0.38/0.62 (define @t44 () (and @t11 @t43)) % 0.38/0.62 (define @t45 () (@list @t7 @t6 @t41)) % 0.38/0.62 (define @t46 () (forall @t45 (=> @t44 @t42))) % 0.38/0.62 (define @t47 () (lambda @t3 @t46)) % 0.38/0.62 (define @t48 () (lambda @t17 (forall (@list @t8) (=> (and (_ tptp.trans @t8) @t25) @t9)))) % 0.38/0.62 (define @t49 () (@var "__flatten_var_1" $$unsorted)) % 0.38/0.62 (define @t50 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.62 (define @t51 () (_ tptp.tc @t1)) % 0.38/0.62 (define @t52 () (_ tptp.rc @t51)) % 0.38/0.62 (define @t53 () (@list @t1 @t50 @t49)) % 0.38/0.62 (define @t54 () (lambda @t53 (_ (_ @t52 @t50) @t49))) % 0.38/0.62 (define @t55 () (lambda @t53 (_ (_ (_ tptp.sc @t52) @t50) @t49))) % 0.38/0.62 (define @t56 () (_ tptp.trans @t1)) % 0.38/0.62 (define @t57 () (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t56)) % 0.38/0.62 (define @t58 () (lambda @t3 @t57)) % 0.38/0.62 (define @t59 () (lambda @t3 (and (_ tptp.asymm @t1) @t56))) % 0.38/0.62 (define @t60 () (lambda @t3 (forall @t12 (or @t32 @t11 @t16)))) % 0.38/0.62 (define @t61 () (not @t11)) % 0.38/0.62 (define @t62 () (@var "A" (-> $$unsorted Bool))) % 0.38/0.62 (define @t63 () (@list @t6)) % 0.38/0.62 (define @t64 () (_ @t62 @t7)) % 0.38/0.62 (define @t65 () (lambda @t3 (forall (@list @t62) (=> (exists @t28 @t64) (exists @t28 (and @t64 (forall @t63 (=> (_ @t62 @t6) @t61)))))))) % 0.38/0.62 (define @t66 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.62 (define @t67 () (_ @t66 @t7)) % 0.38/0.62 (define @t68 () (lambda @t3 (forall (@list @t66) (=> (forall @t28 (=> (forall @t63 (=> (_ (_ @t51 @t7) @t6) (_ @t66 @t6))) @t67)) (forall @t28 @t67))))) % 0.38/0.62 (define @t69 () (lambda (@list @t1 @t7) (not (exists @t63 @t11)))) % 0.38/0.62 (define @t70 () (_ tptp.trc @t1)) % 0.38/0.62 (define @t71 () (_ @t70 @t6)) % 0.38/0.62 (define @t72 () (lambda @t17 (and (_ @t71 @t7) (_ (_ tptp.innf @t1) @t7)))) % 0.38/0.62 (define @t73 () (lambda @t3 (forall @t28 (exists @t63 (_ (_ (_ tptp.nfof @t1) @t6) @t7))))) % 0.38/0.62 (define @t74 () (_ @t70 @t7)) % 0.38/0.62 (define @t75 () (_ @t74 @t41)) % 0.38/0.62 (define @t76 () (lambda @t17 (exists (@list @t41) (and @t75 (_ @t71 @t41))))) % 0.38/0.62 (define @t77 () (_ tptp.join @t1)) % 0.38/0.62 (define @t78 () (_ (_ @t77 @t41) @t6)) % 0.38/0.62 (define @t79 () (lambda @t3 (forall @t45 (=> (and @t42 @t11) @t78)))) % 0.38/0.62 (define @t80 () (_ @t74 @t6)) % 0.38/0.62 (define @t81 () (lambda @t3 (forall @t45 (=> (and @t42 @t80) @t78)))) % 0.38/0.62 (define @t82 () (lambda @t3 (forall @t45 (=> (and @t75 @t80) @t78)))) % 0.38/0.62 (define @t83 () (lambda @t3 (forall @t12 (=> (_ (_ (_ tptp.trsc @t1) @t7) @t6) (_ (_ @t77 @t7) @t6))))) % 0.38/0.62 (define @t84 () (@var "BOUND_VARIABLE_8890" $$unsorted)) % 0.38/0.62 (define @t85 () (@var "BOUND_VARIABLE_8894" $$unsorted)) % 0.38/0.62 (define @t86 () (@var "BOUND_VARIABLE_8892" $$unsorted)) % 0.38/0.62 (define @t87 () (or (not (_ @t1 @t86 @t84)) (not (_ @t1 @t85 @t86)) (_ @t1 @t85 @t84))) % 0.38/0.62 (define @t88 () (@var "BOUND_VARIABLE_8882" $$unsorted)) % 0.38/0.62 (define @t89 () (@var "BOUND_VARIABLE_8880" $$unsorted)) % 0.38/0.62 (define @t90 () (or (not (_ @t1 @t88 @t89)) (not (_ @t1 @t89 @t88)) (= @t89 @t88))) % 0.38/0.62 (define @t91 () (@var "BOUND_VARIABLE_8877" $$unsorted)) % 0.38/0.62 (define @t92 () (_ @t1 @t91 @t91)) % 0.38/0.62 (define @t93 () (and @t92 @t90 @t87)) % 0.38/0.62 (define @t94 () (_ @t1 @t7 @t41)) % 0.38/0.62 (define @t95 () (_ @t1 @t6 @t41)) % 0.38/0.62 (define @t96 () (_ @t1 @t7 @t6)) % 0.38/0.62 (define @t97 () (not @t96)) % 0.38/0.62 (define @t98 () (forall @t45 (or @t97 (not @t95) @t94))) % 0.38/0.62 (define @t99 () (not @t98)) % 0.38/0.62 (define @t100 () (_ @t1 @t6 @t7)) % 0.38/0.62 (define @t101 () (not @t100)) % 0.38/0.62 (define @t102 () (forall @t12 (or @t97 @t101 @t32))) % 0.38/0.62 (define @t103 () (not @t102)) % 0.38/0.62 (define @t104 () (_ @t1 @t7 @t7)) % 0.38/0.62 (define @t105 () (forall @t28 @t104)) % 0.38/0.62 (define @t106 () (not @t105)) % 0.38/0.62 (define @t107 () (or @t106 @t103 @t99 @t93)) % 0.38/0.62 (define @t108 () (forall (@list @t1 @t91 @t89 @t88 @t84 @t86 @t85) @t107)) % 0.38/0.62 (define @t109 () (@quantifiers_skolemize @t108 4)) % 0.38/0.62 (define @t110 () (@quantifiers_skolemize @t108 5)) % 0.38/0.62 (define @t111 () (@quantifiers_skolemize @t108 0)) % 0.38/0.62 (define @t112 () (_ @t111 @t110 @t109)) % 0.38/0.62 (define @t113 () (@quantifiers_skolemize @t108 6)) % 0.38/0.62 (define @t114 () (_ @t111 @t113 @t109)) % 0.38/0.62 (define @t115 () (_ @t111 @t113 @t110)) % 0.38/0.62 (define @t116 () (not @t115)) % 0.38/0.62 (define @t117 () (not @t112)) % 0.38/0.62 (define @t118 () (or @t117 @t116 @t114)) % 0.38/0.62 (define @t119 () (@list @t91 @t89 @t88 @t84 @t86 @t85)) % 0.38/0.62 (define @t120 () (forall @t119 @t107)) % 0.38/0.62 (define @t121 () (forall (@list @t84 @t86 @t85) @t87)) % 0.38/0.62 (define @t122 () (forall @t119 @t87)) % 0.38/0.62 (define @t123 () (forall (@list @t89 @t88) @t90)) % 0.38/0.62 (define @t124 () (forall @t119 @t90)) % 0.38/0.62 (define @t125 () (forall (@list @t91) @t92)) % 0.38/0.62 (define @t126 () (forall @t119 @t92)) % 0.38/0.62 (define @t127 () (and @t126 @t124 @t122)) % 0.38/0.62 (define @t128 () (forall @t119 @t93)) % 0.38/0.62 (define @t129 () (or @t106 @t103 @t99 @t128)) % 0.38/0.62 (define @t130 () (_ @t1 @t41 @t7)) % 0.38/0.62 (define @t131 () (_ @t1 @t41 @t6)) % 0.38/0.62 (define @t132 () (and @t105 (forall @t12 (or @t101 @t97 @t32)) (forall @t45 (or @t101 (not @t131) @t130)))) % 0.38/0.62 (define @t133 () (or @t106 @t103 @t99 @t132)) % 0.38/0.62 (define @t134 () (or @t106 @t103 @t99)) % 0.38/0.62 (define @t135 () (and @t105 @t102 @t98)) % 0.38/0.62 (define @t136 () (_ @t1 @t41)) % 0.38/0.62 (define @t137 () (_ @t136 @t7)) % 0.38/0.62 (define @t138 () (_ @t136 @t6)) % 0.38/0.62 (define @t139 () (not @t138)) % 0.38/0.62 (define @t140 () (or @t38 @t139 @t137)) % 0.38/0.62 (define @t141 () (lambda @t12 @t16)) % 0.38/0.62 (define @t142 () (_ @t141 @t7 @t41)) % 0.38/0.62 (define @t143 () (_ @t141 @t6 @t41)) % 0.38/0.62 (define @t144 () (not @t143)) % 0.38/0.62 (define @t145 () (_ @t141 @t7 @t6)) % 0.38/0.62 (define @t146 () (not @t145)) % 0.38/0.62 (define @t147 () (or @t146 @t144 @t142)) % 0.38/0.62 (define @t148 () (forall @t45 @t147)) % 0.38/0.62 (define @t149 () (or @t38 @t61 @t32)) % 0.38/0.62 (define @t150 () (_ @t141 @t6 @t7)) % 0.38/0.62 (define @t151 () (not @t150)) % 0.38/0.62 (define @t152 () (or @t146 @t151 @t32)) % 0.38/0.62 (define @t153 () (forall @t12 @t152)) % 0.38/0.62 (define @t154 () (_ @t141 @t7 @t7)) % 0.38/0.62 (define @t155 () (forall @t28 @t154)) % 0.38/0.62 (define @t156 () (and @t155 @t153 @t148)) % 0.38/0.62 (define @t157 () (lambda @t3 @t135)) % 0.38/0.62 (define @t158 () (_ @t18 @t1)) % 0.38/0.62 (define @t159 () (_ @t157 @t1)) % 0.38/0.62 (define @t160 () (=> @t159 (_ @t157 @t158))) % 0.38/0.62 (define @t161 () (forall @t3 @t160)) % 0.38/0.62 (define @t162 () (_ (lambda @t3 @t98) @t1)) % 0.38/0.62 (define @t163 () (_ (lambda @t3 @t102) @t1)) % 0.38/0.62 (define @t164 () (_ (lambda @t3 @t105) @t1)) % 0.38/0.62 (define @t165 () (not @t43)) % 0.38/0.62 (define @t166 () (or @t61 @t165 @t42)) % 0.38/0.62 (define @t167 () (or @t61 @t38 @t32)) % 0.38/0.62 (define @t168 () (not (_ @t111 @t7 @t6))) % 0.38/0.62 (define @t169 () (forall @t45 (or @t168 (not (_ @t111 @t6 @t41)) (_ @t111 @t7 @t41)))) % 0.38/0.62 (define @t170 () (@quantifiers_skolemize @t108 3)) % 0.38/0.62 (define @t171 () (@quantifiers_skolemize @t108 2)) % 0.38/0.62 (define @t172 () (= @t171 @t170)) % 0.38/0.62 (define @t173 () (_ @t111 @t171 @t170)) % 0.38/0.62 (define @t174 () (not @t173)) % 0.38/0.62 (define @t175 () (_ @t111 @t170 @t171)) % 0.38/0.62 (define @t176 () (not @t175)) % 0.38/0.62 (define @t177 () (or @t176 @t174 @t172)) % 0.38/0.62 (define @t178 () (@quantifiers_skolemize @t108 1)) % 0.38/0.62 (define @t179 () (_ @t111 @t178 @t178)) % 0.38/0.62 (define @t180 () (and @t179 @t177 @t118)) % 0.38/0.62 (define @t181 () (not @t169)) % 0.38/0.62 (define @t182 () (forall @t12 (or @t168 (not (_ @t111 @t6 @t7)) @t32))) % 0.38/0.62 (define @t183 () (not @t182)) % 0.38/0.62 (define @t184 () (forall @t28 (_ @t111 @t7 @t7))) % 0.38/0.62 (define @t185 () (not @t184)) % 0.38/0.62 (define @t186 () (or @t185 @t183 @t181 @t180)) % 0.38/0.62 (define @t187 () (@list true)) % 0.38/0.62 (define @t188 () (@list @t186)) % 0.38/0.62 (define @t189 () (or @t116 @t117 @t114)) % 0.38/0.62 (define @t190 () (@list @t177)) % 0.38/0.62 (define @t191 () (or @t174 @t176 @t172)) % 0.38/0.62 (assume @p1 @t5) % 0.38/0.62 (assume @p2 true) % 0.38/0.62 (step @p3 (= tptp.subrel @t14) :rule refl :args (@t14)) % 0.38/0.62 (step @p4 (= tptp.inv @t18) :rule refl :args (@t18)) % 0.38/0.62 (step @p5 (= tptp.idem @t22) :rule refl :args (@t22)) % 0.38/0.62 (step @p6 (= tptp.infl @t24) :rule refl :args (@t24)) % 0.38/0.62 (step @p7 (= tptp.mono @t26) :rule refl :args (@t26)) % 0.38/0.62 (step @p8 (= tptp.refl @t30) :rule refl :args (@t30)) % 0.38/0.62 (step @p9 (= tptp.irrefl @t31) :rule refl :args (@t31)) % 0.38/0.62 (step @p10 (= tptp.rc @t33) :rule refl :args (@t33)) % 0.38/0.62 (step @p11 (= tptp.symm @t34) :rule refl :args (@t34)) % 0.38/0.62 (step @p12 (= tptp.antisymm @t37) :rule refl :args (@t37)) % 0.38/0.62 (step @p13 (= tptp.asymm @t39) :rule refl :args (@t39)) % 0.38/0.62 (step @p14 (= tptp.sc @t40) :rule refl :args (@t40)) % 0.38/0.62 (step @p15 (= tptp.trans @t47) :rule refl :args (@t47)) % 0.38/0.62 (step @p16 (= tptp.tc @t48) :rule refl :args (@t48)) % 0.38/0.62 (step @p17 (= tptp.trc @t54) :rule refl :args (@t54)) % 0.38/0.62 (step @p18 (= tptp.trsc @t55) :rule refl :args (@t55)) % 0.38/0.62 (step @p19 (= tptp.po @t58) :rule refl :args (@t58)) % 0.38/0.62 (step @p20 (= tptp.so @t59) :rule refl :args (@t59)) % 0.38/0.62 (step @p21 (= tptp.total @t60) :rule refl :args (@t60)) % 0.38/0.62 (step @p22 (= tptp.term @t65) :rule refl :args (@t65)) % 0.38/0.62 (step @p23 (= tptp.ind @t68) :rule refl :args (@t68)) % 0.38/0.62 (step @p24 (= tptp.innf @t69) :rule refl :args (@t69)) % 0.38/0.62 (step @p25 (= tptp.nfof @t72) :rule refl :args (@t72)) % 0.38/0.62 (step @p26 (= tptp.norm @t73) :rule refl :args (@t73)) % 0.38/0.62 (step @p27 (= tptp.join @t76) :rule refl :args (@t76)) % 0.38/0.62 (step @p28 (= tptp.lconfl @t79) :rule refl :args (@t79)) % 0.38/0.62 (step @p29 (= tptp.sconfl @t81) :rule refl :args (@t81)) % 0.38/0.62 (step @p30 (= tptp.confl @t82) :rule refl :args (@t82)) % 0.38/0.62 (step @p31 (= tptp.cr @t83) :rule refl :args (@t83)) % 0.38/0.62 (step @p32 :rule bool-double-not-elim :args (@t112)) % 0.38/0.62 (step @p33 :rule refl :args (@t118)) % 0.38/0.62 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t118 (not @t117)))) % 0.38/0.62 (step @p35 :rule cnf_or_neg :args (@t118 0)) % 0.38/0.62 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.38/0.62 (step @p37 :rule reordering :premises (@p36) :args ((or @t112 @t118))) % 0.38/0.62 (step @p38 :rule bool-double-not-elim :args (@t115)) % 0.38/0.62 (step @p39 :rule nary_cong :premises (@p33 @p38) :args ((or @t118 (not @t116)))) % 0.38/0.62 (step @p40 :rule cnf_or_neg :args (@t118 1)) % 0.38/0.62 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.38/0.62 (step @p42 :rule reordering :premises (@p41) :args ((or @t115 @t118))) % 0.38/0.62 (step @p43 :rule cnf_or_neg :args (@t118 2)) % 0.38/0.62 (step @p44 :rule quant-merge-prenex :args ((= (forall @t3 @t120) @t108))) % 0.38/0.62 (step @p45 :rule alpha_equiv :args (@t121 (@list @t84 @t86 @t85) (@list @t7 @t6 @t41))) % 0.38/0.62 (step @p46 :rule quant-unused-vars :args ((= @t122 @t121))) % 0.38/0.62 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.62 (step @p48 :rule alpha_equiv :args (@t123 (@list @t89 @t88) (@list @t7 @t6))) % 0.38/0.62 (step @p49 :rule quant-unused-vars :args ((= @t124 @t123))) % 0.38/0.62 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.62 (step @p51 :rule alpha_equiv :args (@t125 (@list @t91) (@list @t7))) % 0.38/0.62 (step @p52 :rule quant-unused-vars :args ((= @t126 @t125))) % 0.38/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.62 (step @p54 :rule nary_cong :premises (@p53 @p50 @p47) :args (@t127)) % 0.38/0.62 (step @p55 :rule quant-miniscope-and :args ((= @t128 @t127))) % 0.38/0.62 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.62 (step @p57 :rule refl :args (@t99)) % 0.38/0.62 (step @p58 :rule refl :args (@t103)) % 0.38/0.62 (step @p59 :rule refl :args (@t106)) % 0.38/0.62 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57 @p56) :args (@t129)) % 0.38/0.62 (step @p61 :rule quant-miniscope-or :args ((= @t120 @t129))) % 0.38/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.62 (step @p63 :rule symm :premises (@p62)) % 0.38/0.62 (step @p64 :rule cong :premises (@p63) :args ((forall @t3 @t133))) % 0.38/0.62 (step @p65 :rule trans :premises (@p64 @p44)) % 0.38/0.62 (step @p66 :rule aci_norm :args ((= (or @t134 @t132) @t133))) % 0.38/0.62 (step @p67 :rule refl :args (@t132)) % 0.38/0.62 (step @p68 :rule aci_norm :args ((= (or @t106 (or @t103 @t99)) @t134))) % 0.38/0.62 (step @p69 :rule bool-and-de-morgan :args (@t102 @t98 true)) % 0.38/0.62 (step @p70 :rule nary_cong :premises (@p59 @p69) :args ((or @t106 (not (and @t102 @t98))))) % 0.38/0.62 (step @p71 :rule bool-and-de-morgan :args (@t105 @t102 (and @t98))) % 0.38/0.62 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.62 (step @p73 :rule trans :premises (@p72 @p68)) % 0.38/0.62 (step @p74 :rule nary_cong :premises (@p73 @p67) :args ((or (not @t135) @t132))) % 0.38/0.62 (step @p75 :rule trans :premises (@p74 @p66)) % 0.38/0.62 (step @p76 :rule bool-impl-elim :args (@t135 @t132)) % 0.38/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.62 (step @p78 :rule cong :premises (@p77) :args ((forall @t3 (=> @t135 @t132)))) % 0.38/0.62 (step @p79 :rule trans :premises (@p78 @p65)) % 0.38/0.62 (step @p80 :rule refl :args (@t130)) % 0.38/0.62 (step @p81 :rule refl :args (@t137)) % 0.38/0.62 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t137 @t130))) % 0.38/0.62 (step @p83 :rule symm :premises (@p82)) % 0.38/0.62 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.38/0.62 (step @p85 :rule refl :args (@t131)) % 0.38/0.62 (step @p86 :rule refl :args (@t138)) % 0.38/0.62 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t138 @t131))) % 0.38/0.62 (step @p88 :rule symm :premises (@p87)) % 0.38/0.62 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.38/0.62 (step @p90 :rule cong :premises (@p89) :args (@t139)) % 0.38/0.62 (step @p91 :rule refl :args (@t100)) % 0.38/0.62 (step @p92 :rule refl 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0.38/0.62 (step @p138 :rule beta-reduce :args ((= @t159 @t135))) % 0.38/0.62 (step @p139 :rule cong :premises (@p138 @p137) :args (@t160)) % 0.38/0.62 (step @p140 :rule cong :premises (@p139) :args (@t161)) % 0.38/0.62 (step @p141 :rule trans :premises (@p140 @p79)) % 0.38/0.62 (step @p142 :rule cong :premises (@p141) :args ((not @t161))) % 0.38/0.62 (step @p143 :rule refl :args (@t1)) % 0.38/0.62 (step @p144 :rule ho_cong :premises (@p4 @p143)) % 0.38/0.62 (step @p145 :rule beta-reduce :args ((= @t162 @t98))) % 0.38/0.62 (step @p146 :rule beta-reduce :args ((= @t163 @t102))) % 0.38/0.62 (step @p147 :rule beta-reduce :args ((= @t164 @t105))) % 0.38/0.62 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args ((and @t164 @t163 @t162))) % 0.38/0.62 (step @p149 :rule refl :args (@t94)) % 0.38/0.62 (step @p150 :rule refl :args (@t42)) % 0.38/0.62 (step @p151 :rule cong :premises (@p150 @p149) :args ((= @t42 @t94))) % 0.38/0.62 (step @p152 :rule symm :premises (@p151)) % 0.38/0.62 (step @p153 :rule eq_resolve :premises (@p150 @p152)) % 0.38/0.62 (step @p154 :rule refl :args (@t95)) % 0.38/0.62 (step @p155 :rule refl :args (@t43)) % 0.38/0.62 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t43 @t95))) % 0.38/0.62 (step @p157 :rule symm :premises (@p156)) % 0.38/0.62 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 0.38/0.62 (step @p159 :rule cong :premises (@p158) :args (@t165)) % 0.38/0.62 (step @p160 :rule nary_cong :premises (@p113 @p159 @p153) :args (@t166)) % 0.38/0.62 (step @p161 :rule cong :premises (@p160) :args ((forall @t45 @t166))) % 0.38/0.62 (step @p162 :rule aci_norm :args ((= (or (or @t61 @t165) @t42) @t166))) % 0.38/0.62 (step @p163 :rule bool-and-de-morgan :args (@t11 @t43 true)) % 0.38/0.62 (step @p164 :rule nary_cong :premises (@p163 @p150) :args ((or (not @t44) @t42))) % 0.38/0.62 (step @p165 :rule trans :premises (@p164 @p162)) % 0.38/0.62 (step @p166 :rule bool-impl-elim :args (@t44 @t42)) % 0.38/0.62 (step @p167 :rule trans :premises (@p166 @p165)) % 0.38/0.62 (step @p168 :rule cong :premises (@p167) :args (@t46)) % 0.38/0.62 (step @p169 :rule trans :premises (@p168 @p161)) % 0.38/0.62 (step @p170 :rule cong :premises (@p169) :args (@t47)) % 0.38/0.62 (step @p171 :rule trans :premises (@p15 @p170)) % 0.38/0.62 (step @p172 :rule ho_cong :premises (@p171 @p143)) % 0.38/0.62 (step @p173 :rule nary_cong :premises (@p113 @p96 @p107) :args (@t167)) % 0.38/0.62 (step @p174 :rule cong :premises (@p173) :args ((forall @t12 @t167))) % 0.38/0.62 (step @p175 :rule aci_norm :args ((= (or (or @t61 @t38) @t32) @t167))) % 0.38/0.62 (step @p176 :rule bool-and-de-morgan :args (@t11 @t16 true)) % 0.38/0.62 (step @p177 :rule nary_cong :premises (@p176 @p107) :args ((or (not @t35) @t32))) % 0.38/0.62 (step @p178 :rule trans :premises (@p177 @p175)) % 0.38/0.62 (step @p179 :rule bool-impl-elim :args (@t35 @t32)) % 0.38/0.62 (step @p180 :rule trans :premises (@p179 @p178)) % 0.38/0.62 (step @p181 :rule cong :premises (@p180) :args (@t36)) % 0.38/0.62 (step @p182 :rule trans :premises (@p181 @p174)) % 0.38/0.62 (step @p183 :rule cong :premises (@p182) :args (@t37)) % 0.38/0.62 (step @p184 :rule trans :premises (@p12 @p183)) % 0.38/0.62 (step @p185 :rule ho_cong :premises (@p184 @p143)) % 0.38/0.62 (step @p186 :rule cong :premises (@p127) :args (@t30)) % 0.38/0.62 (step @p187 :rule trans :premises (@p8 @p186)) % 0.38/0.62 (step @p188 :rule ho_cong :premises (@p187 @p143)) % 0.38/0.62 (step @p189 :rule nary_cong :premises (@p188 @p185 @p172) :args (@t57)) % 0.38/0.62 (step @p190 :rule trans :premises (@p189 @p148)) % 0.38/0.62 (step @p191 :rule cong :premises (@p190) :args (@t58)) % 0.38/0.62 (step @p192 :rule trans :premises (@p19 @p191)) % 0.38/0.62 (step @p193 :rule ho_cong :premises (@p192 @p144)) % 0.38/0.62 (step @p194 :rule ho_cong :premises (@p192 @p143)) % 0.38/0.62 (step @p195 :rule cong :premises (@p194 @p193) :args (@t2)) % 0.38/0.62 (step @p196 :rule cong :premises (@p195) :args (@t4)) % 0.38/0.62 (step @p197 :rule cong :premises (@p196) :args (@t5)) % 0.38/0.62 (step @p198 :rule trans :premises (@p197 @p142)) % 0.38/0.62 (step @p199 :rule eq_resolve :premises (@p1 @p198)) % 0.38/0.62 (step @p200 :rule skolemize :premises (@p199)) % 0.38/0.62 (step @p201 :rule bool-double-not-elim :args (@t169)) % 0.38/0.62 (step @p202 :rule refl :args (@t186)) % 0.38/0.62 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t186 (not @t181)))) % 0.38/0.63 (step @p204 :rule cnf_or_neg :args (@t186 2)) % 0.38/0.63 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.38/0.63 (step @p206 :rule reordering :premises (@p205) :args ((or @t169 @t186))) % 0.38/0.63 (step @p207 :rule chain_m_resolution :premises (@p206 @p200) :args (@t169 @t187 @t188)) % 0.38/0.63 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t113 @t110 @t109))) % 0.38/0.63 (step @p209 :rule cnf_or_pos :args (@t189)) % 0.38/0.63 (step @p210 :rule reordering :premises (@p209) :args ((or @t117 @t116 @t114 (not @t189)))) % 0.38/0.63 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p43 @p42 @p37) :args (@t118 (@list false true false false) (@list @t189 @t114 @t115 @t112))) % 0.38/0.63 (step @p212 :rule bool-double-not-elim :args (@t184)) % 0.38/0.63 (step @p213 :rule nary_cong :premises (@p202 @p212) :args ((or @t186 (not @t185)))) % 0.38/0.63 (step @p214 :rule cnf_or_neg :args (@t186 0)) % 0.38/0.63 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.38/0.63 (step @p216 :rule reordering :premises (@p215) :args ((or @t184 @t186))) % 0.38/0.63 (step @p217 :rule chain_m_resolution :premises (@p216 @p200) :args (@t184 @t187 @t188)) % 0.38/0.63 (step @p218 :rule instantiate :premises (@p217) :args ((@list @t178))) % 0.38/0.63 (step @p219 :rule cnf_or_neg :args (@t186 3)) % 0.38/0.63 (step @p220 :rule chain_m_resolution :premises (@p219 @p200) :args ((not @t180) @t187 @t188)) % 0.38/0.63 (step @p221 :rule cnf_and_neg :args (@t180)) % 0.38/0.63 (step @p222 :rule chain_m_resolution :premises (@p221 @p220 @p218 @p211) :args ((not @t177) (@list true false false) (@list @t180 @t179 @t118))) % 0.38/0.63 (step @p223 :rule bool-double-not-elim :args (@t175)) % 0.38/0.63 (step @p224 :rule refl :args (@t177)) % 0.38/0.63 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t177 (not @t176)))) % 0.38/0.63 (step @p226 :rule cnf_or_neg :args (@t177 0)) % 0.38/0.63 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.38/0.63 (step @p228 :rule reordering :premises (@p227) :args ((or @t175 @t177))) % 0.38/0.63 (step @p229 :rule chain_m_resolution :premises (@p228 @p222) :args (@t175 @t187 @t190)) % 0.38/0.63 (step @p230 :rule bool-double-not-elim :args (@t182)) % 0.38/0.63 (step @p231 :rule nary_cong :premises (@p202 @p230) :args ((or @t186 (not @t183)))) % 0.38/0.63 (step @p232 :rule cnf_or_neg :args (@t186 1)) % 0.38/0.63 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.38/0.63 (step @p234 :rule reordering :premises (@p233) :args ((or @t182 @t186))) % 0.38/0.63 (step @p235 :rule chain_m_resolution :premises (@p234 @p200) :args (@t182 @t187 @t188)) % 0.38/0.63 (step @p236 :rule instantiate :premises (@p235) :args ((@list @t171 @t170))) % 0.38/0.63 (step @p237 :rule bool-double-not-elim :args (@t173)) % 0.38/0.63 (step @p238 :rule nary_cong :premises (@p224 @p237) :args ((or @t177 (not @t174)))) % 0.38/0.63 (step @p239 :rule cnf_or_neg :args (@t177 1)) % 0.38/0.63 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 0.38/0.63 (step @p241 :rule reordering :premises (@p240) :args ((or @t173 @t177))) % 0.38/0.63 (step @p242 :rule chain_m_resolution :premises (@p241 @p222) :args (@t173 @t187 @t190)) % 0.38/0.63 (step @p243 :rule cnf_or_neg :args (@t177 2)) % 0.38/0.63 (step @p244 :rule chain_m_resolution :premises (@p243 @p222) :args ((not @t172) @t187 @t190)) % 0.38/0.63 (step @p245 :rule cnf_or_pos :args (@t191)) % 0.38/0.63 (step @p246 :rule reordering :premises (@p245) :args ((or @t176 @t174 @t172 (not @t191)))) % 0.38/0.63 (step @p247 false :rule chain_m_resolution :premises (@p246 @p244 @p242 @p236 @p229) :args (false (@list true false false false) (@list @t172 @t173 @t191 @t175))) % 0.38/0.63 ) % 0.38/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------