%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU473^1 : 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 : n001.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 08:51:54 AM UTC 2026 % Result : Theorem 0.52s 0.74s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU473^1 : TPTP v9.2.1. Released v3.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 17:37:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.52/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.74 % SZS status Theorem % 0.52/0.74 % SZS output start Proof % 0.52/0.74 ( % 0.52/0.74 (declare-sort $$unsorted 0) % 0.52/0.74 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.52/0.74 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.52/0.74 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.52/0.74 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.52/0.74 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.52/0.74 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.52/0.74 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.52/0.74 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.52/0.74 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.52/0.74 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.52/0.74 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.52/0.74 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.52/0.74 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 0.52/0.74 (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))))))))) % 0.52/0.74 (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)))))) % 0.52/0.74 (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)))))) % 0.52/0.74 (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))))) % 0.52/0.74 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.52/0.74 (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)))))))) % 0.52/0.74 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.52/0.74 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 0.52/0.74 (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)))))))) % 0.52/0.74 (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))))))) % 0.52/0.74 (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)))))))) % 0.52/0.74 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.52/0.74 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.52/0.74 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.52/0.74 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.52/0.74 (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)))))))) % 0.52/0.74 (define @t1 () (not (_ tptp.mono tptp.trsc))) % 0.52/0.74 (define @t2 () (@var "Y" $$unsorted)) % 0.52/0.74 (define @t3 () (@var "X" $$unsorted)) % 0.52/0.74 (define @t4 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t5 () (_ (_ @t4 @t3) @t2)) % 0.52/0.74 (define @t6 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t7 () (_ @t6 @t3)) % 0.52/0.74 (define @t8 () (_ @t7 @t2)) % 0.52/0.74 (define @t9 () (@list @t3 @t2)) % 0.52/0.74 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.52/0.74 (define @t11 () (@list @t6 @t4)) % 0.52/0.74 (define @t12 () (lambda @t11 @t10)) % 0.52/0.74 (define @t13 () (_ @t6 @t2)) % 0.52/0.74 (define @t14 () (_ @t13 @t3)) % 0.52/0.74 (define @t15 () (@list @t6 @t3 @t2)) % 0.52/0.74 (define @t16 () (lambda @t15 @t14)) % 0.52/0.74 (define @t17 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t18 () (_ @t17 @t6)) % 0.52/0.74 (define @t19 () (@list @t6)) % 0.52/0.74 (define @t20 () (@list @t17)) % 0.52/0.74 (define @t21 () (lambda @t20 (forall @t19 (= (_ @t17 @t18) @t18)))) % 0.52/0.74 (define @t22 () (_ tptp.subrel @t6)) % 0.52/0.74 (define @t23 () (lambda @t20 (forall @t19 (_ @t22 @t18)))) % 0.52/0.74 (define @t24 () (_ @t17 @t4)) % 0.52/0.74 (define @t25 () (_ @t22 @t4)) % 0.52/0.74 (define @t26 () (=> @t25 (_ (_ tptp.subrel @t18) @t24))) % 0.52/0.74 (define @t27 () (forall @t11 @t26)) % 0.52/0.74 (define @t28 () (lambda @t20 @t27)) % 0.52/0.74 (define @t29 () (_ @t7 @t3)) % 0.52/0.74 (define @t30 () (@list @t3)) % 0.52/0.74 (define @t31 () (lambda @t19 (forall @t30 @t29))) % 0.52/0.74 (define @t32 () (lambda @t19 (forall @t30 (not @t29)))) % 0.52/0.74 (define @t33 () (= @t3 @t2)) % 0.52/0.74 (define @t34 () (lambda @t15 (or @t33 @t8))) % 0.52/0.74 (define @t35 () (lambda @t19 (forall @t9 (=> @t8 @t14)))) % 0.52/0.74 (define @t36 () (lambda @t19 (forall @t9 (=> (and @t8 @t14) @t33)))) % 0.52/0.74 (define @t37 () (lambda @t19 (forall @t9 (=> @t8 (not @t14))))) % 0.52/0.74 (define @t38 () (lambda @t15 (or @t14 @t8))) % 0.52/0.74 (define @t39 () (@var "Z" $$unsorted)) % 0.52/0.74 (define @t40 () (_ @t7 @t39)) % 0.52/0.74 (define @t41 () (_ @t13 @t39)) % 0.52/0.74 (define @t42 () (and @t8 @t41)) % 0.52/0.74 (define @t43 () (@list @t3 @t2 @t39)) % 0.52/0.74 (define @t44 () (forall @t43 (=> @t42 @t40))) % 0.52/0.74 (define @t45 () (lambda @t19 @t44)) % 0.52/0.74 (define @t46 () (and (_ tptp.trans @t4) @t25)) % 0.52/0.74 (define @t47 () (=> @t46 @t5)) % 0.52/0.74 (define @t48 () (@list @t4)) % 0.52/0.74 (define @t49 () (forall @t48 @t47)) % 0.52/0.74 (define @t50 () (lambda @t15 @t49)) % 0.52/0.74 (define @t51 () (@var "__flatten_var_1" $$unsorted)) % 0.52/0.74 (define @t52 () (@var "__flatten_var_0" $$unsorted)) % 0.52/0.74 (define @t53 () (_ tptp.tc @t6)) % 0.52/0.74 (define @t54 () (_ tptp.rc @t53)) % 0.52/0.74 (define @t55 () (@list @t6 @t52 @t51)) % 0.52/0.74 (define @t56 () (lambda @t55 (_ (_ @t54 @t52) @t51))) % 0.52/0.74 (define @t57 () (lambda @t55 (_ (_ (_ tptp.sc @t54) @t52) @t51))) % 0.52/0.74 (define @t58 () (_ tptp.trans @t6)) % 0.52/0.74 (define @t59 () (lambda @t19 (and (_ tptp.refl @t6) (_ tptp.antisymm @t6) @t58))) % 0.52/0.74 (define @t60 () (lambda @t19 (and (_ tptp.asymm @t6) @t58))) % 0.52/0.74 (define @t61 () (lambda @t19 (forall @t9 (or @t33 @t8 @t14)))) % 0.52/0.74 (define @t62 () (not @t8)) % 0.52/0.74 (define @t63 () (@var "A" (-> $$unsorted Bool))) % 0.52/0.74 (define @t64 () (@list @t2)) % 0.52/0.74 (define @t65 () (_ @t63 @t3)) % 0.52/0.74 (define @t66 () (lambda @t19 (forall (@list @t63) (=> (exists @t30 @t65) (exists @t30 (and @t65 (forall @t64 (=> (_ @t63 @t2) @t62)))))))) % 0.52/0.74 (define @t67 () (@var "P" (-> $$unsorted Bool))) % 0.52/0.74 (define @t68 () (_ @t67 @t3)) % 0.52/0.74 (define @t69 () (lambda @t19 (forall (@list @t67) (=> (forall @t30 (=> (forall @t64 (=> (_ (_ @t53 @t3) @t2) (_ @t67 @t2))) @t68)) (forall @t30 @t68))))) % 0.52/0.74 (define @t70 () (lambda (@list @t6 @t3) (not (exists @t64 @t8)))) % 0.52/0.74 (define @t71 () (_ tptp.trc @t6)) % 0.52/0.74 (define @t72 () (_ @t71 @t2)) % 0.52/0.74 (define @t73 () (lambda @t15 (and (_ @t72 @t3) (_ (_ tptp.innf @t6) @t3)))) % 0.52/0.74 (define @t74 () (lambda @t19 (forall @t30 (exists @t64 (_ (_ (_ tptp.nfof @t6) @t2) @t3))))) % 0.52/0.74 (define @t75 () (_ @t71 @t3)) % 0.52/0.74 (define @t76 () (_ @t75 @t39)) % 0.52/0.74 (define @t77 () (lambda @t15 (exists (@list @t39) (and @t76 (_ @t72 @t39))))) % 0.52/0.74 (define @t78 () (_ tptp.join @t6)) % 0.52/0.74 (define @t79 () (_ (_ @t78 @t39) @t2)) % 0.52/0.74 (define @t80 () (lambda @t19 (forall @t43 (=> (and @t40 @t8) @t79)))) % 0.52/0.74 (define @t81 () (_ @t75 @t2)) % 0.52/0.74 (define @t82 () (lambda @t19 (forall @t43 (=> (and @t40 @t81) @t79)))) % 0.52/0.74 (define @t83 () (lambda @t19 (forall @t43 (=> (and @t76 @t81) @t79)))) % 0.52/0.74 (define @t84 () (lambda @t19 (forall @t9 (=> (_ (_ (_ tptp.trsc @t6) @t3) @t2) (_ (_ @t78 @t3) @t2))))) % 0.52/0.74 (define @t85 () (@var "BOUND_VARIABLE_7545" $$unsorted)) % 0.52/0.74 (define @t86 () (@var "BOUND_VARIABLE_7543" $$unsorted)) % 0.52/0.74 (define @t87 () (@var "BOUND_VARIABLE_8959" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t88 () (_ @t87 @t86 @t85)) % 0.52/0.74 (define @t89 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.52/0.74 (define @t90 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.52/0.74 (define @t91 () (_ @t4 @t90 @t89)) % 0.52/0.74 (define @t92 () (not @t91)) % 0.52/0.74 (define @t93 () (@list @t90 @t89)) % 0.52/0.74 (define @t94 () (not (forall @t93 (or @t92 (_ @t87 @t90 @t89))))) % 0.52/0.74 (define @t95 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.52/0.74 (define @t96 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.52/0.74 (define @t97 () (@list @t95 @t96 @t39)) % 0.52/0.74 (define @t98 () (not (forall @t97 (or (not (_ @t87 @t95 @t96)) (not (_ @t87 @t96 @t39)) (_ @t87 @t95 @t39))))) % 0.52/0.74 (define @t99 () (@var "BOUND_VARIABLE_8943" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t100 () (_ @t99 @t85 @t86)) % 0.52/0.74 (define @t101 () (not (forall @t93 (or @t92 (_ @t99 @t90 @t89))))) % 0.52/0.74 (define @t102 () (not (forall @t97 (or (not (_ @t99 @t95 @t96)) (not (_ @t99 @t96 @t39)) (_ @t99 @t95 @t39))))) % 0.52/0.74 (define @t103 () (= @t86 @t85)) % 0.52/0.74 (define @t104 () (@var "BOUND_VARIABLE_8897" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t105 () (_ @t104 @t90 @t89)) % 0.52/0.74 (define @t106 () (not (_ @t6 @t90 @t89))) % 0.52/0.74 (define @t107 () (not (forall @t97 (or (not (_ @t104 @t95 @t96)) (not (_ @t104 @t96 @t39)) (_ @t104 @t95 @t39))))) % 0.52/0.74 (define @t108 () (@list @t104)) % 0.52/0.74 (define @t109 () (forall @t108 (or @t107 (not (forall @t93 (or @t106 @t105))) (_ @t104 @t86 @t85)))) % 0.52/0.74 (define @t110 () (not @t109)) % 0.52/0.74 (define @t111 () (@var "BOUND_VARIABLE_8915" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t112 () (_ @t111 @t90 @t89)) % 0.52/0.74 (define @t113 () (not (forall @t97 (or (not (_ @t111 @t95 @t96)) (not (_ @t111 @t96 @t39)) (_ @t111 @t95 @t39))))) % 0.52/0.74 (define @t114 () (@list @t111)) % 0.52/0.74 (define @t115 () (forall @t114 (or @t113 (not (forall @t93 (or @t106 @t112))) (_ @t111 @t85 @t86)))) % 0.52/0.74 (define @t116 () (not @t115)) % 0.52/0.74 (define @t117 () (not @t103)) % 0.52/0.74 (define @t118 () (and @t117 @t116 @t110)) % 0.52/0.74 (define @t119 () (_ @t4 @t3 @t2)) % 0.52/0.74 (define @t120 () (_ @t6 @t3 @t2)) % 0.52/0.74 (define @t121 () (not @t120)) % 0.52/0.74 (define @t122 () (forall @t9 (or @t121 @t119))) % 0.52/0.74 (define @t123 () (not @t122)) % 0.52/0.74 (define @t124 () (or @t123 @t118 @t103 @t102 @t101 @t100 @t98 @t94 @t88)) % 0.52/0.74 (define @t125 () (or @t98 @t94 @t88)) % 0.52/0.74 (define @t126 () (or @t102 @t101 @t100)) % 0.52/0.74 (define @t127 () (or @t123 @t118 @t103 @t126 @t125)) % 0.52/0.74 (define @t128 () (@list @t6 @t4 @t86 @t85 @t99 @t87)) % 0.52/0.74 (define @t129 () (forall @t128 @t127)) % 0.52/0.74 (define @t130 () (forall (@list @t99 @t87) @t127)) % 0.52/0.74 (define @t131 () (@list @t6 @t4 @t86 @t85)) % 0.52/0.74 (define @t132 () (forall (@list @t87) @t125)) % 0.52/0.74 (define @t133 () (@var "BOUND_VARIABLE_8841" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t134 () (@list @t133)) % 0.52/0.74 (define @t135 () (forall (@list @t99) @t126)) % 0.52/0.74 (define @t136 () (@var "BOUND_VARIABLE_8859" (-> $$unsorted $$unsorted Bool))) % 0.52/0.74 (define @t137 () (@list @t136)) % 0.52/0.74 (define @t138 () (or @t123 @t118 @t103 @t135 @t132)) % 0.52/0.74 (define @t139 () (_ @t133 @t90 @t89)) % 0.52/0.74 (define @t140 () (not (forall @t97 (or (not (_ @t133 @t95 @t96)) (not (_ @t133 @t96 @t39)) (_ @t133 @t95 @t39))))) % 0.52/0.74 (define @t141 () (@list @t133)) % 0.52/0.74 (define @t142 () (forall @t141 (or @t140 (not (forall @t93 (or @t92 @t139))) (_ @t133 @t86 @t85)))) % 0.52/0.74 (define @t143 () (_ @t136 @t90 @t89)) % 0.52/0.74 (define @t144 () (not (forall @t97 (or (not (_ @t136 @t95 @t96)) (not (_ @t136 @t96 @t39)) (_ @t136 @t95 @t39))))) % 0.52/0.74 (define @t145 () (@list @t136)) % 0.52/0.74 (define @t146 () (forall @t145 (or @t144 (not (forall @t93 (or @t92 @t143))) (_ @t136 @t85 @t86)))) % 0.52/0.74 (define @t147 () (or @t123 (not (or @t103 @t115 @t109)) @t103 @t146 @t142)) % 0.52/0.74 (define @t148 () (not (forall @t93 (or @t106 @t91)))) % 0.52/0.74 (define @t149 () (not (forall @t97 (or (not (_ @t4 @t95 @t96)) (not (_ @t4 @t96 @t39)) (_ @t4 @t95 @t39))))) % 0.52/0.74 (define @t150 () (forall @t48 (or @t149 @t148 (_ @t4 @t86 @t85)))) % 0.52/0.74 (define @t151 () (@list @t4)) % 0.52/0.74 (define @t152 () (forall @t48 (or @t149 @t148 (_ @t4 @t85 @t86)))) % 0.52/0.74 (define @t153 () (or @t103 @t152 @t150)) % 0.52/0.74 (define @t154 () (not @t153)) % 0.52/0.74 (define @t155 () (or @t123 @t154 @t103 @t146 @t142)) % 0.52/0.74 (define @t156 () (or @t103 @t146 @t142)) % 0.52/0.74 (define @t157 () (= @t52 @t51)) % 0.52/0.74 (define @t158 () (forall @t48 (or @t149 @t148 (_ @t4 @t52 @t51)))) % 0.52/0.74 (define @t159 () (forall @t48 (or @t149 @t148 (_ @t4 @t51 @t52)))) % 0.52/0.74 (define @t160 () (or @t157 @t159 @t158)) % 0.52/0.74 (define @t161 () (lambda @t55 @t160)) % 0.52/0.74 (define @t162 () (_ @t161 @t6 @t86 @t85)) % 0.52/0.74 (define @t163 () (not @t162)) % 0.52/0.74 (define @t164 () (or @t123 @t163 (_ @t161 @t4 @t86 @t85))) % 0.52/0.74 (define @t165 () (forall @t131 @t164)) % 0.52/0.74 (define @t166 () (_ @t17 @t4 @t86 @t85)) % 0.52/0.74 (define @t167 () (not (_ @t17 @t6 @t86 @t85))) % 0.52/0.74 (define @t168 () (or @t123 @t167 @t166)) % 0.52/0.74 (define @t169 () (_ (lambda @t20 (forall @t131 @t168)) @t161)) % 0.52/0.74 (define @t170 () (or (= @t51 @t52) @t159 @t158)) % 0.52/0.74 (define @t171 () (forall @t48 (or @t149 @t148 (_ @t4 @t52 @t2)))) % 0.52/0.74 (define @t172 () (forall @t48 (or @t149 @t148 (_ @t4 @t2 @t52)))) % 0.52/0.74 (define @t173 () (or (= @t52 @t2) @t172 @t171)) % 0.52/0.74 (define @t174 () (lambda @t64 @t173)) % 0.52/0.74 (define @t175 () (forall @t48 (or @t149 @t148 @t119))) % 0.52/0.74 (define @t176 () (forall @t48 (or @t149 @t148 (_ @t4 @t2 @t3)))) % 0.52/0.74 (define @t177 () (or @t33 @t176 @t175)) % 0.52/0.74 (define @t178 () (or @t33 @t175)) % 0.52/0.74 (define @t179 () (lambda @t64 @t178)) % 0.52/0.74 (define @t180 () (lambda @t9 @t178)) % 0.52/0.74 (define @t181 () (_ @t180 @t3)) % 0.52/0.74 (define @t182 () (or (= @t2 @t3) @t176)) % 0.52/0.74 (define @t183 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.52/0.74 (define @t184 () (lambda (@list @t183) (or (= @t2 @t183) (forall @t48 (or @t149 @t148 (_ @t4 @t2 @t183)))))) % 0.52/0.74 (define @t185 () (or (_ (_ @t180 @t2) @t3) (_ @t181 @t2))) % 0.52/0.74 (define @t186 () (lambda @t9 @t185)) % 0.52/0.74 (define @t187 () (lambda @t64 @t175)) % 0.52/0.74 (define @t188 () (lambda @t9 @t175)) % 0.52/0.74 (define @t189 () (_ @t188 @t3)) % 0.52/0.74 (define @t190 () (or @t33 (_ @t189 @t2))) % 0.52/0.74 (define @t191 () (lambda @t9 @t190)) % 0.52/0.74 (define @t192 () (lambda @t15 @t175)) % 0.52/0.74 (define @t193 () (forall @t43 (or (not @t119) (not (_ @t4 @t2 @t39)) (_ @t4 @t3 @t39)))) % 0.52/0.74 (define @t194 () (not @t193)) % 0.52/0.74 (define @t195 () (or @t194 @t123 @t5)) % 0.52/0.74 (define @t196 () (and @t193 @t122)) % 0.52/0.74 (define @t197 () (lambda @t48 @t122)) % 0.52/0.74 (define @t198 () (lambda @t11 @t122)) % 0.52/0.74 (define @t199 () (_ @t198 @t6)) % 0.52/0.74 (define @t200 () (_ @t6 @t3 @t39)) % 0.52/0.74 (define @t201 () (_ @t6 @t2 @t39)) % 0.52/0.74 (define @t202 () (_ (lambda @t19 (forall @t43 (or @t121 (not @t201) @t200))) @t4)) % 0.52/0.74 (define @t203 () (_ @t199 @t4)) % 0.52/0.74 (define @t204 () (and @t202 @t203)) % 0.52/0.74 (define @t205 () (=> @t204 @t5)) % 0.52/0.74 (define @t206 () (or @t62 @t5)) % 0.52/0.74 (define @t207 () (not @t41)) % 0.52/0.74 (define @t208 () (or @t62 @t207 @t40)) % 0.52/0.74 (define @t209 () (or @t167 @t166)) % 0.52/0.74 (define @t210 () (or @t123 @t209)) % 0.52/0.74 (define @t211 () (forall @t131 @t210)) % 0.52/0.74 (define @t212 () (@list @t86 @t85)) % 0.52/0.74 (define @t213 () (forall @t212 @t210)) % 0.52/0.74 (define @t214 () (forall @t212 @t209)) % 0.52/0.74 (define @t215 () (or @t123 @t214)) % 0.52/0.74 (define @t216 () (_ @t17 @t4 @t3 @t2)) % 0.52/0.74 (define @t217 () (_ @t17 @t6 @t3 @t2)) % 0.52/0.74 (define @t218 () (not @t217)) % 0.52/0.74 (define @t219 () (forall @t9 (or @t218 @t216))) % 0.52/0.74 (define @t220 () (_ (_ @t24 @t3) @t2)) % 0.52/0.74 (define @t221 () (or @t218 @t220)) % 0.52/0.74 (define @t222 () (_ @t24 @t3 @t2)) % 0.52/0.74 (define @t223 () (or @t218 @t222)) % 0.52/0.74 (define @t224 () (forall @t9 @t223)) % 0.52/0.74 (define @t225 () (_ (_ @t18 @t3) @t2)) % 0.52/0.74 (define @t226 () (not @t225)) % 0.52/0.74 (define @t227 () (or @t226 @t119)) % 0.52/0.74 (define @t228 () (_ @t18 @t3 @t2)) % 0.52/0.74 (define @t229 () (not @t228)) % 0.52/0.74 (define @t230 () (or @t229 @t119)) % 0.52/0.74 (define @t231 () (forall @t9 @t230)) % 0.52/0.74 (define @t232 () (lambda @t48 @t231)) % 0.52/0.74 (define @t233 () (_ @t198 @t18)) % 0.52/0.74 (define @t234 () (=> @t203 (_ @t233 @t24))) % 0.52/0.74 (define @t235 () (forall @t128 @t124)) % 0.52/0.74 (define @t236 () (@quantifiers_skolemize @t235 5)) % 0.52/0.74 (define @t237 () (_ @t236 @t90 @t89)) % 0.52/0.74 (define @t238 () (@quantifiers_skolemize @t235 1)) % 0.52/0.74 (define @t239 () (not (_ @t238 @t90 @t89))) % 0.52/0.74 (define @t240 () (forall @t93 (or @t239 @t237))) % 0.52/0.74 (define @t241 () (@quantifiers_skolemize @t235 3)) % 0.52/0.74 (define @t242 () (@quantifiers_skolemize @t235 2)) % 0.52/0.74 (define @t243 () (_ @t236 @t242 @t241)) % 0.52/0.74 (define @t244 () (not @t240)) % 0.52/0.74 (define @t245 () (forall @t97 (or (not (_ @t236 @t95 @t96)) (not (_ @t236 @t96 @t39)) (_ @t236 @t95 @t39)))) % 0.52/0.74 (define @t246 () (not @t245)) % 0.52/0.74 (define @t247 () (@quantifiers_skolemize @t235 4)) % 0.52/0.74 (define @t248 () (_ @t247 @t241 @t242)) % 0.52/0.74 (define @t249 () (_ @t247 @t90 @t89)) % 0.52/0.74 (define @t250 () (forall @t93 (or @t239 @t249))) % 0.52/0.74 (define @t251 () (not @t250)) % 0.52/0.74 (define @t252 () (forall @t97 (or (not (_ @t247 @t95 @t96)) (not (_ @t247 @t96 @t39)) (_ @t247 @t95 @t39)))) % 0.52/0.74 (define @t253 () (not @t252)) % 0.52/0.74 (define @t254 () (= @t242 @t241)) % 0.52/0.74 (define @t255 () (@quantifiers_skolemize @t235 0)) % 0.52/0.74 (define @t256 () (not (_ @t255 @t90 @t89))) % 0.52/0.74 (define @t257 () (forall @t108 (or @t107 (not (forall @t93 (or @t256 @t105))) (_ @t104 @t242 @t241)))) % 0.52/0.74 (define @t258 () (not @t257)) % 0.52/0.74 (define @t259 () (forall @t114 (or @t113 (not (forall @t93 (or @t256 @t112))) (_ @t111 @t241 @t242)))) % 0.52/0.74 (define @t260 () (not @t259)) % 0.52/0.74 (define @t261 () (not @t254)) % 0.52/0.74 (define @t262 () (and @t261 @t260 @t258)) % 0.52/0.74 (define @t263 () (forall @t9 (or (not (_ @t255 @t3 @t2)) (_ @t238 @t3 @t2)))) % 0.52/0.74 (define @t264 () (not @t263)) % 0.52/0.74 (define @t265 () (or @t264 @t262 @t254 @t253 @t251 @t248 @t246 @t244 @t243)) % 0.52/0.74 (define @t266 () (@list true)) % 0.52/0.74 (define @t267 () (@list @t265)) % 0.52/0.74 (define @t268 () (forall @t93 (or @t256 @t237))) % 0.52/0.74 (define @t269 () (@quantifiers_skolemize @t268 1)) % 0.52/0.74 (define @t270 () (@quantifiers_skolemize @t268 0)) % 0.52/0.74 (define @t271 () (@list @t270 @t269)) % 0.52/0.74 (define @t272 () (forall @t93 (or @t256 @t249))) % 0.52/0.74 (define @t273 () (@quantifiers_skolemize @t272 1)) % 0.52/0.74 (define @t274 () (@quantifiers_skolemize @t272 0)) % 0.52/0.74 (define @t275 () (_ @t255 @t274 @t273)) % 0.52/0.74 (define @t276 () (_ @t247 @t274 @t273)) % 0.52/0.74 (define @t277 () (not @t275)) % 0.52/0.74 (define @t278 () (or @t277 @t276)) % 0.52/0.74 (define @t279 () (@list @t274 @t273)) % 0.52/0.74 (define @t280 () (_ @t238 @t274 @t273)) % 0.52/0.74 (define @t281 () (or @t277 @t280)) % 0.52/0.74 (define @t282 () (not @t280)) % 0.52/0.74 (define @t283 () (or @t282 @t276)) % 0.52/0.74 (define @t284 () (not @t278)) % 0.52/0.74 (define @t285 () (not @t272)) % 0.52/0.74 (define @t286 () (@list false)) % 0.52/0.74 (define @t287 () (or @t253 @t285 @t248)) % 0.52/0.74 (define @t288 () (not @t287)) % 0.52/0.74 (define @t289 () (@list false true false)) % 0.52/0.74 (define @t290 () (not @t268)) % 0.52/0.74 (define @t291 () (or @t246 @t290 @t243)) % 0.52/0.74 (define @t292 () (_ @t236 @t270 @t269)) % 0.52/0.74 (define @t293 () (_ @t255 @t270 @t269)) % 0.52/0.74 (define @t294 () (not @t293)) % 0.52/0.74 (define @t295 () (or @t294 @t292)) % 0.52/0.74 (define @t296 () (not @t295)) % 0.52/0.74 (define @t297 () (@list @t295)) % 0.52/0.74 (define @t298 () (_ @t238 @t270 @t269)) % 0.52/0.74 (define @t299 () (or @t294 @t298)) % 0.52/0.74 (define @t300 () (not @t298)) % 0.52/0.74 (define @t301 () (or @t300 @t292)) % 0.52/0.74 (define @t302 () (not @t301)) % 0.52/0.74 (define @t303 () (@list true false)) % 0.52/0.74 (assume @p1 @t1) % 0.52/0.74 (assume @p2 true) % 0.52/0.74 (step @p3 (= tptp.subrel @t12) :rule refl :args (@t12)) % 0.52/0.74 (step @p4 (= tptp.inv @t16) :rule refl :args (@t16)) % 0.52/0.74 (step @p5 (= tptp.idem @t21) :rule refl :args (@t21)) % 0.52/0.74 (step @p6 (= tptp.infl @t23) :rule refl :args (@t23)) % 0.52/0.74 (step @p7 (= tptp.mono @t28) :rule refl :args (@t28)) % 0.52/0.74 (step @p8 (= tptp.refl @t31) :rule refl :args (@t31)) % 0.52/0.74 (step @p9 (= tptp.irrefl @t32) :rule refl :args (@t32)) % 0.52/0.74 (step @p10 (= tptp.rc @t34) :rule refl :args (@t34)) % 0.52/0.74 (step @p11 (= tptp.symm @t35) :rule refl :args (@t35)) % 0.52/0.74 (step @p12 (= tptp.antisymm @t36) :rule refl :args (@t36)) % 0.52/0.74 (step @p13 (= tptp.asymm @t37) :rule refl :args (@t37)) % 0.52/0.74 (step @p14 (= tptp.sc @t38) :rule refl :args (@t38)) % 0.52/0.74 (step @p15 (= tptp.trans @t45) :rule refl :args (@t45)) % 0.52/0.74 (step @p16 (= tptp.tc @t50) :rule refl :args (@t50)) % 0.52/0.74 (step @p17 (= tptp.trc @t56) :rule refl :args (@t56)) % 0.52/0.74 (step @p18 (= tptp.trsc @t57) :rule refl :args (@t57)) % 0.52/0.74 (step @p19 (= tptp.po @t59) :rule refl :args (@t59)) % 0.52/0.74 (step @p20 (= tptp.so @t60) :rule refl :args (@t60)) % 0.52/0.74 (step @p21 (= tptp.total @t61) :rule refl :args (@t61)) % 0.52/0.74 (step @p22 (= tptp.term @t66) :rule refl :args (@t66)) % 0.52/0.74 (step @p23 (= tptp.ind @t69) :rule refl :args (@t69)) % 0.52/0.74 (step @p24 (= tptp.innf @t70) :rule refl :args (@t70)) % 0.52/0.74 (step @p25 (= tptp.nfof @t73) :rule refl :args (@t73)) % 0.52/0.74 (step @p26 (= tptp.norm @t74) :rule refl :args (@t74)) % 0.52/0.74 (step @p27 (= tptp.join @t77) :rule refl :args (@t77)) % 0.52/0.74 (step @p28 (= tptp.lconfl @t80) :rule refl :args (@t80)) % 0.52/0.74 (step @p29 (= tptp.sconfl @t82) :rule refl :args (@t82)) % 0.52/0.74 (step @p30 (= tptp.confl @t83) :rule refl 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:premises (@p295)) % 0.52/0.75 (step @p297 :rule bool-double-not-elim :args (@t240)) % 0.52/0.75 (step @p298 :rule refl :args (@t265)) % 0.52/0.75 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t265 (not @t244)))) % 0.52/0.75 (step @p300 :rule cnf_or_neg :args (@t265 7)) % 0.52/0.75 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.52/0.75 (step @p302 :rule reordering :premises (@p301) :args ((or @t240 @t265))) % 0.52/0.75 (step @p303 :rule chain_m_resolution :premises (@p302 @p296) :args (@t240 @t266 @t267)) % 0.52/0.75 (step @p304 :rule bool-double-not-elim :args (@t263)) % 0.52/0.75 (step @p305 :rule nary_cong :premises (@p298 @p304) :args ((or @t265 (not @t264)))) % 0.52/0.75 (step @p306 :rule cnf_or_neg :args (@t265 0)) % 0.52/0.75 (step @p307 :rule eq_resolve :premises (@p306 @p305)) % 0.52/0.75 (step @p308 :rule reordering :premises (@p307) :args ((or @t263 @t265))) % 0.52/0.75 (step @p309 :rule chain_m_resolution :premises (@p308 @p296) :args (@t263 @t266 @t267)) % 0.52/0.75 (step @p310 :rule instantiate :premises (@p309) :args (@t271)) % 0.52/0.75 (step @p311 :rule cnf_or_neg :args (@t265 1)) % 0.52/0.75 (step @p312 :rule chain_m_resolution :premises (@p311 @p296) :args ((not @t262) @t266 @t267)) % 0.52/0.75 (step @p313 :rule bool-double-not-elim :args (@t275)) % 0.52/0.75 (step @p314 :rule refl :args (@t278)) % 0.52/0.75 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or @t278 (not @t277)))) % 0.52/0.75 (step @p316 :rule cnf_or_neg :args (@t278 0)) % 0.52/0.75 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.52/0.75 (step @p318 :rule reordering :premises (@p317) :args ((or @t275 @t278))) % 0.52/0.75 (step @p319 :rule cnf_or_neg :args (@t278 1)) % 0.52/0.75 (step @p320 :rule instantiate :premises (@p309) :args (@t279)) % 0.52/0.75 (step @p321 :rule cnf_or_pos :args (@t281)) % 0.52/0.75 (step @p322 :rule reordering :premises (@p321) :args ((or @t277 @t280 (not @t281)))) % 0.52/0.75 (step @p323 :rule bool-double-not-elim :args (@t250)) % 0.52/0.75 (step @p324 :rule nary_cong :premises (@p298 @p323) :args ((or @t265 (not @t251)))) % 0.52/0.75 (step @p325 :rule cnf_or_neg :args (@t265 4)) % 0.52/0.75 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.52/0.75 (step @p327 :rule reordering :premises (@p326) :args ((or @t250 @t265))) % 0.52/0.75 (step @p328 :rule chain_m_resolution :premises (@p327 @p296) :args (@t250 @t266 @t267)) % 0.52/0.75 (step @p329 :rule instantiate :premises (@p328) :args (@t279)) % 0.52/0.75 (step @p330 :rule cnf_or_pos :args (@t283)) % 0.52/0.75 (step @p331 :rule reordering :premises (@p330) :args ((or @t276 @t282 (not @t283)))) % 0.52/0.75 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p322 @p320 @p319 @p318) :args (@t278 (@list false false false true false) (@list @t283 @t280 @t281 @t276 @t275))) % 0.52/0.75 (step @p333 :rule refl :args (@t284)) % 0.52/0.75 (step @p334 :rule bool-double-not-elim :args (@t272)) % 0.52/0.75 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or (not @t285) @t284))) % 0.52/0.75 (assume-push @p420 @t285) % 0.52/0.75 (step @p337 :rule skolemize :premises (@p420)) % 0.52/0.75 (step-pop @p421 :rule scope :premises (@p337)) % 0.52/0.75 (step @p338 :rule process_scope :premises (@p421) :args (@t284)) % 0.52/0.75 (step @p340 :rule implies_elim :premises (@p338)) % 0.52/0.75 (step @p341 :rule eq_resolve :premises (@p340 @p335)) % 0.52/0.75 (step @p342 :rule chain_m_resolution :premises (@p341 @p332) :args (@t272 @t286 (@list @t278))) % 0.52/0.75 (step @p343 :rule cnf_or_neg :args (@t265 5)) % 0.52/0.75 (step @p344 :rule chain_m_resolution :premises (@p343 @p296) :args ((not @t248) @t266 @t267)) % 0.52/0.75 (step @p345 :rule bool-double-not-elim :args (@t252)) % 0.52/0.75 (step @p346 :rule nary_cong :premises (@p298 @p345) :args ((or @t265 (not @t253)))) % 0.52/0.75 (step @p347 :rule cnf_or_neg :args (@t265 3)) % 0.52/0.75 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 0.52/0.75 (step @p349 :rule reordering :premises (@p348) :args ((or @t252 @t265))) % 0.52/0.75 (step @p350 :rule chain_m_resolution :premises (@p349 @p296) :args (@t252 @t266 @t267)) % 0.52/0.75 (step @p351 :rule cnf_or_pos :args (@t287)) % 0.52/0.75 (step @p352 :rule reordering :premises (@p351) :args ((or @t253 @t248 @t285 @t288))) % 0.52/0.75 (step @p353 :rule chain_m_resolution :premises (@p352 @p350 @p344 @p342) :args (@t288 @t289 (@list @t252 @t248 @t272))) % 0.52/0.75 (assume-push @p422 @t259) % 0.52/0.75 (step @p355 :rule instantiate :premises (@p422) :args ((@list @t247))) % 0.52/0.75 (step-pop @p423 :rule scope :premises (@p355)) % 0.52/0.75 (step @p356 :rule process_scope :premises (@p423) :args (@t287)) % 0.52/0.75 (step @p358 :rule implies_elim :premises (@p356)) % 0.52/0.75 (step @p359 :rule chain_m_resolution :premises (@p358 @p353) :args (@t260 @t266 (@list @t287))) % 0.52/0.75 (step @p360 :rule cnf_or_neg :args (@t265 2)) % 0.52/0.75 (step @p361 :rule reordering :premises (@p360) :args ((or @t261 @t265))) % 0.52/0.75 (step @p362 :rule chain_m_resolution :premises (@p361 @p296) :args (@t261 @t266 @t267)) % 0.52/0.75 (step @p363 :rule bool-double-not-elim :args (@t257)) % 0.52/0.75 (step @p364 :rule bool-double-not-elim :args (@t259)) % 0.52/0.75 (step @p365 :rule bool-double-not-elim :args (@t254)) % 0.52/0.75 (step @p366 :rule refl :args (@t262)) % 0.52/0.75 (step @p367 :rule nary_cong :premises (@p366 @p365 @p364 @p363) :args ((or @t262 (not @t261) (not @t260) (not @t258)))) % 0.52/0.75 (step @p368 :rule cnf_and_neg :args (@t262)) % 0.52/0.75 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.52/0.75 (step @p370 :rule reordering :premises (@p369) :args ((or @t254 @t259 @t257 @t262))) % 0.52/0.75 (step @p371 :rule chain_m_resolution :premises (@p370 @p362 @p359 @p312) :args (@t257 (@list true true true) (@list @t254 @t259 @t262))) % 0.52/0.75 (assume-push @p424 @t257) % 0.52/0.75 (step @p373 :rule instantiate :premises (@p424) :args ((@list @t236))) % 0.52/0.75 (step-pop @p425 :rule scope :premises (@p373)) % 0.52/0.75 (step @p374 :rule process_scope :premises (@p425) :args (@t291)) % 0.52/0.75 (step @p376 :rule implies_elim :premises (@p374)) % 0.52/0.75 (step @p377 :rule chain_m_resolution :premises (@p376 @p371) :args (@t291 @t286 (@list @t257))) % 0.52/0.75 (step @p378 :rule cnf_or_neg :args (@t265 8)) % 0.52/0.75 (step @p379 :rule chain_m_resolution :premises (@p378 @p296) :args ((not @t243) @t266 @t267)) % 0.52/0.75 (step @p380 :rule bool-double-not-elim :args (@t245)) % 0.52/0.75 (step @p381 :rule nary_cong :premises (@p298 @p380) :args ((or @t265 (not @t246)))) % 0.52/0.75 (step @p382 :rule cnf_or_neg :args (@t265 6)) % 0.52/0.75 (step @p383 :rule eq_resolve :premises (@p382 @p381)) % 0.52/0.75 (step @p384 :rule reordering :premises (@p383) :args ((or @t245 @t265))) % 0.52/0.75 (step @p385 :rule chain_m_resolution :premises (@p384 @p296) :args (@t245 @t266 @t267)) % 0.52/0.75 (step @p386 :rule cnf_or_pos :args (@t291)) % 0.52/0.75 (step @p387 :rule reordering :premises (@p386) :args ((or @t246 @t243 @t290 (not @t291)))) % 0.52/0.75 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p379 @p377) :args (@t290 @t289 (@list @t245 @t243 @t291))) % 0.52/0.75 (step @p389 :rule refl :args (@t296)) % 0.52/0.75 (step @p390 :rule bool-double-not-elim :args (@t268)) % 0.52/0.75 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or (not @t290) @t296))) % 0.52/0.75 (assume-push @p426 @t290) % 0.52/0.75 (step @p393 :rule skolemize :premises (@p426)) % 0.52/0.75 (step-pop @p427 :rule scope :premises (@p393)) % 0.52/0.75 (step @p394 :rule process_scope :premises (@p427) :args (@t296)) % 0.52/0.75 (step @p396 :rule implies_elim :premises (@p394)) % 0.52/0.75 (step @p397 :rule eq_resolve :premises (@p396 @p391)) % 0.52/0.75 (step @p398 :rule chain_m_resolution :premises (@p397 @p388) :args (@t296 @t266 (@list @t268))) % 0.52/0.75 (step @p399 :rule bool-double-not-elim :args (@t293)) % 0.52/0.75 (step @p400 :rule refl :args (@t295)) % 0.52/0.75 (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t295 (not @t294)))) % 0.52/0.75 (step @p402 :rule cnf_or_neg :args (@t295 0)) % 0.52/0.75 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.52/0.75 (step @p404 :rule reordering :premises (@p403) :args ((or @t293 @t295))) % 0.52/0.75 (step @p405 :rule chain_m_resolution :premises (@p404 @p398) :args (@t293 @t266 @t297)) % 0.52/0.75 (step @p406 :rule cnf_or_pos :args (@t299)) % 0.52/0.75 (step @p407 :rule reordering :premises (@p406) :args ((or @t294 @t298 (not @t299)))) % 0.52/0.75 (step @p408 :rule chain_m_resolution :premises (@p407 @p405 @p310) :args (@t298 (@list false false) (@list @t293 @t299))) % 0.52/0.75 (step @p409 :rule cnf_or_neg :args (@t295 1)) % 0.52/0.75 (step @p410 :rule chain_m_resolution :premises (@p409 @p398) :args ((not @t292) @t266 @t297)) % 0.52/0.75 (step @p411 :rule cnf_or_pos :args (@t301)) % 0.52/0.75 (step @p412 :rule reordering :premises (@p411) :args ((or @t292 @t300 @t302))) % 0.52/0.75 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p408) :args (@t302 @t303 (@list @t292 @t298))) % 0.52/0.75 (assume-push @p428 @t240) % 0.52/0.75 (step @p415 :rule instantiate :premises (@p303) :args (@t271)) % 0.52/0.75 (step-pop @p429 :rule scope :premises (@p415)) % 0.52/0.75 (step @p416 :rule process_scope :premises (@p429) :args (@t301)) % 0.52/0.75 (step @p418 :rule implies_elim :premises (@p416)) % 0.52/0.75 (step @p419 false :rule chain_m_resolution :premises (@p418 @p413 @p303) :args (false @t303 (@list @t301 @t240))) % 0.52/0.75 ) % 0.52/0.75 % SZS output end Proof % 0.52/0.75 % cvc5 exiting %------------------------------------------------------------------------------