%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET914^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:48:58 AM UTC 2026 % Result : Theorem 7.71s 7.96s % Output : Proof 7.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET914^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:38 EDT 2026 % 0.20/0.35 % CPUTime : % 0.27/0.53 %----Proving TH0 % 7.71/7.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 7.71/7.96 % SZS status Theorem % 7.71/7.96 % SZS output start Proof % 7.71/7.96 ( % 7.71/7.96 (declare-sort tptp.mu 0) % 7.71/7.96 (declare-sort $$unsorted 0) % 7.71/7.96 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 7.71/7.96 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 7.71/7.96 (declare-const tptp.in (-> tptp.mu tptp.mu $$unsorted Bool)) % 7.71/7.96 (declare-const tptp.empty (-> tptp.mu $$unsorted Bool)) % 7.71/7.96 (declare-const tptp.disjoint (-> tptp.mu tptp.mu $$unsorted Bool)) % 7.71/7.96 (declare-const tptp.unordered_pair (-> tptp.mu tptp.mu tptp.mu)) % 7.71/7.96 (declare-const tptp.qmltpeq (-> tptp.mu tptp.mu $$unsorted Bool)) % 7.71/7.96 (declare-const tptp.set_intersection2 (-> tptp.mu tptp.mu tptp.mu)) % 7.71/7.96 (declare-const tptp.empty_set tptp.mu) % 7.71/7.96 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 7.71/7.96 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 7.71/7.96 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 7.71/7.96 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 7.71/7.96 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 7.71/7.96 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 7.71/7.96 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 7.71/7.96 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 7.71/7.96 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 7.71/7.96 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 7.71/7.96 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 7.71/7.96 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 7.71/7.96 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 7.71/7.96 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 7.71/7.96 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 7.71/7.96 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 7.71/7.96 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 7.71/7.96 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 7.71/7.96 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 7.71/7.96 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$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)))))))))) % 7.71/7.96 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 7.71/7.96 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 7.71/7.96 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 7.71/7.96 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 7.71/7.96 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 7.71/7.96 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 7.71/7.96 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 7.71/7.96 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 7.71/7.96 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 7.71/7.96 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 7.71/7.96 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 7.71/7.96 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 7.71/7.96 (define @t1 () (@var "V" $$unsorted)) % 7.71/7.96 (define @t2 () (@var "X" tptp.mu)) % 7.71/7.96 (define @t3 () (_ tptp.exists_in_world @t2)) % 7.71/7.96 (define @t4 () (_ @t3 @t1)) % 7.71/7.96 (define @t5 () (@list @t2)) % 7.71/7.96 (define @t6 () (@list @t1)) % 7.71/7.96 (define @t7 () (@var "W" $$unsorted)) % 7.71/7.96 (define @t8 () (_ @t3 @t7)) % 7.71/7.96 (define @t9 () (@var "V1" tptp.mu)) % 7.71/7.96 (define @t10 () (@var "V2" tptp.mu)) % 7.71/7.96 (define @t11 () (_ (_ tptp.set_intersection2 @t10) @t9)) % 7.71/7.96 (define @t12 () (_ (_ tptp.exists_in_world @t11) @t1)) % 7.71/7.96 (define @t13 () (@list @t1 @t10 @t9)) % 7.71/7.96 (define @t14 () (forall @t13 @t12)) % 7.71/7.96 (define @t15 () (_ (_ tptp.unordered_pair @t10) @t9)) % 7.71/7.96 (define @t16 () (_ (_ tptp.exists_in_world @t15) @t1)) % 7.71/7.96 (define @t17 () (forall @t13 @t16)) % 7.71/7.96 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 7.71/7.96 (define @t19 () (_ tptp.qmltpeq @t2)) % 7.71/7.96 (define @t20 () (_ @t19 @t2)) % 7.71/7.96 (define @t21 () (@list @t2 @t18)) % 7.71/7.96 (define @t22 () (lambda @t21 (_ @t20 @t18))) % 7.71/7.96 (define @t23 () (@var "Y" tptp.mu)) % 7.71/7.96 (define @t24 () (_ tptp.qmltpeq @t23)) % 7.71/7.96 (define @t25 () (_ @t19 @t23)) % 7.71/7.96 (define @t26 () (@list @t23 @t18)) % 7.71/7.96 (define @t27 () (@var "Z" tptp.mu)) % 7.71/7.96 (define @t28 () (@var "C" tptp.mu)) % 7.71/7.96 (define @t29 () (@var "B" tptp.mu)) % 7.71/7.96 (define @t30 () (_ tptp.set_intersection2 @t29)) % 7.71/7.96 (define @t31 () (@var "A" tptp.mu)) % 7.71/7.96 (define @t32 () (_ tptp.set_intersection2 @t31)) % 7.71/7.96 (define @t33 () (_ tptp.qmltpeq @t31)) % 7.71/7.96 (define @t34 () (_ @t33 @t29)) % 7.71/7.96 (define @t35 () (_ tptp.mimplies @t34)) % 7.71/7.96 (define @t36 () (@list @t28 @t18)) % 7.71/7.96 (define @t37 () (@list @t29 @t18)) % 7.71/7.96 (define @t38 () (@list @t31 @t18)) % 7.71/7.96 (define @t39 () (_ tptp.set_intersection2 @t28)) % 7.71/7.96 (define @t40 () (_ tptp.unordered_pair @t29)) % 7.71/7.96 (define @t41 () (_ tptp.unordered_pair @t31)) % 7.71/7.96 (define @t42 () (_ tptp.unordered_pair @t28)) % 7.71/7.96 (define @t43 () (_ tptp.disjoint @t29)) % 7.71/7.96 (define @t44 () (_ tptp.disjoint @t31)) % 7.71/7.96 (define @t45 () (_ tptp.mand @t34)) % 7.71/7.96 (define @t46 () (_ tptp.disjoint @t28)) % 7.71/7.96 (define @t47 () (_ tptp.empty @t31)) % 7.71/7.96 (define @t48 () (_ tptp.in @t29)) % 7.71/7.96 (define @t49 () (_ tptp.in @t31)) % 7.71/7.96 (define @t50 () (_ @t49 @t28)) % 7.71/7.96 (define @t51 () (_ tptp.in @t28)) % 7.71/7.96 (define @t52 () (_ @t48 @t31)) % 7.71/7.96 (define @t53 () (_ tptp.mnot @t52)) % 7.71/7.96 (define @t54 () (_ @t41 @t29)) % 7.71/7.96 (define @t55 () (_ @t32 @t29)) % 7.71/7.96 (define @t56 () (_ tptp.qmltpeq @t55)) % 7.71/7.96 (define @t57 () (lambda @t37 (_ @t53 @t18))) % 7.71/7.96 (define @t58 () (_ @t33 tptp.empty_set)) % 7.71/7.96 (define @t59 () (lambda @t38 (_ (_ (_ tptp.mequiv @t58) (_ tptp.mforall_ind @t57)) @t18))) % 7.71/7.96 (define @t60 () (@var "D" tptp.mu)) % 7.71/7.96 (define @t61 () (_ tptp.qmltpeq @t60)) % 7.71/7.96 (define @t62 () (_ @t61 @t29)) % 7.71/7.96 (define @t63 () (_ @t61 @t31)) % 7.71/7.96 (define @t64 () (_ tptp.in @t60)) % 7.71/7.96 (define @t65 () (_ @t64 @t28)) % 7.71/7.96 (define @t66 () (_ tptp.mequiv @t65)) % 7.71/7.96 (define @t67 () (@list @t60 @t18)) % 7.71/7.96 (define @t68 () (lambda @t67 (_ (_ @t66 (_ (_ tptp.mor @t63) @t62)) @t18))) % 7.71/7.96 (define @t69 () (_ tptp.qmltpeq @t28)) % 7.71/7.96 (define @t70 () (_ @t69 @t54)) % 7.71/7.96 (define @t71 () (lambda @t36 (_ (_ (_ tptp.mequiv @t70) (_ tptp.mforall_ind @t68)) @t18))) % 7.71/7.96 (define @t72 () (lambda @t37 (_ (_ tptp.mforall_ind @t71) @t18))) % 7.71/7.96 (define @t73 () (lambda @t38 (_ (_ tptp.mforall_ind @t72) @t18))) % 7.71/7.96 (define @t74 () (_ @t64 @t29)) % 7.71/7.96 (define @t75 () (_ @t64 @t31)) % 7.71/7.96 (define @t76 () (lambda @t67 (_ (_ @t66 (_ (_ tptp.mand @t75) @t74)) @t18))) % 7.71/7.96 (define @t77 () (_ @t69 @t55)) % 7.71/7.96 (define @t78 () (lambda @t36 (_ (_ (_ tptp.mequiv @t77) (_ tptp.mforall_ind @t76)) @t18))) % 7.71/7.96 (define @t79 () (lambda @t37 (_ (_ tptp.mforall_ind @t78) @t18))) % 7.71/7.96 (define @t80 () (lambda @t38 (_ (_ tptp.mforall_ind @t79) @t18))) % 7.71/7.96 (define @t81 () (_ @t56 tptp.empty_set)) % 7.71/7.96 (define @t82 () (_ @t44 @t29)) % 7.71/7.96 (define @t83 () (lambda @t37 (_ (_ (_ tptp.mequiv @t82) @t81) @t18))) % 7.71/7.96 (define @t84 () (lambda @t38 (_ (_ tptp.mforall_ind @t83) @t18))) % 7.71/7.96 (define @t85 () (_ tptp.disjoint @t54)) % 7.71/7.96 (define @t86 () (_ @t85 @t28)) % 7.71/7.96 (define @t87 () (lambda @t36 (_ (_ tptp.mnot (_ (_ tptp.mand @t86) @t50)) @t18))) % 7.71/7.96 (define @t88 () (lambda @t37 (_ (_ tptp.mforall_ind @t87) @t18))) % 7.71/7.96 (define @t89 () (lambda @t38 (_ (_ tptp.mforall_ind @t88) @t18))) % 7.71/7.96 (define @t90 () (not (_ tptp.mvalid (_ tptp.mforall_ind @t89)))) % 7.71/7.96 (define @t91 () (@var "Y" (-> $$unsorted Bool))) % 7.71/7.96 (define @t92 () (@var "X" (-> $$unsorted Bool))) % 7.71/7.96 (define @t93 () (lambda (@list @t92 @t91 @t7) (= (_ @t92 @t7) (_ @t91 @t7)))) % 7.71/7.96 (define @t94 () (@var "Phi" (-> $$unsorted Bool))) % 7.71/7.96 (define @t95 () (_ @t94 @t7)) % 7.71/7.96 (define @t96 () (not @t95)) % 7.71/7.96 (define @t97 () (@list @t94 @t7)) % 7.71/7.96 (define @t98 () (lambda @t97 @t96)) % 7.71/7.96 (define @t99 () (@var "Psi" (-> $$unsorted Bool))) % 7.71/7.96 (define @t100 () (_ @t99 @t7)) % 7.71/7.96 (define @t101 () (lambda (@list @t94 @t99 @t7) (or @t95 @t100))) % 7.71/7.96 (define @t102 () (_ @t94 @t1)) % 7.71/7.96 (define @t103 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 7.71/7.96 (define @t104 () (lambda (@list @t103 @t94 @t7) (forall @t6 (or (not (_ (_ @t103 @t7) @t1)) @t102)))) % 7.71/7.96 (define @t105 () (@var "P" (-> $$unsorted Bool))) % 7.71/7.96 (define @t106 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 7.71/7.96 (define @t107 () (_ @t106 @t105)) % 7.71/7.96 (define @t108 () (lambda (@list @t106 @t7) (forall (@list @t105) (_ @t107 @t7)))) % 7.71/7.96 (define @t109 () (@list @t7)) % 7.71/7.96 (define @t110 () (lambda @t109 true)) % 7.71/7.96 (define @t111 () (_ tptp.mnot @t99)) % 7.71/7.96 (define @t112 () (_ tptp.mnot @t94)) % 7.71/7.96 (define @t113 () (_ tptp.mor @t112)) % 7.71/7.96 (define @t114 () (@list @t94 @t99 @t18)) % 7.71/7.96 (define @t115 () (lambda @t114 (_ (_ tptp.mnot (_ @t113 @t111)) @t18))) % 7.71/7.96 (define @t116 () (lambda @t114 (_ (_ @t113 @t99) @t18))) % 7.71/7.96 (define @t117 () (lambda @t114 (_ (_ (_ tptp.mor @t111) @t94) @t18))) % 7.71/7.96 (define @t118 () (lambda @t114 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t94) @t99)) (_ (_ tptp.mimplies @t99) @t94)) @t18))) % 7.71/7.96 (define @t119 () (lambda @t114 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t94) @t99)) @t18))) % 7.71/7.96 (define @t120 () (lambda (@list @t103 @t94 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t103) @t112)) @t18))) % 7.71/7.96 (define @t121 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 7.71/7.96 (define @t122 () (_ @t121 @t2)) % 7.71/7.96 (define @t123 () (_ @t122 @t7)) % 7.71/7.96 (define @t124 () (forall @t5 (=> @t8 @t123))) % 7.71/7.96 (define @t125 () (@list @t121 @t7)) % 7.71/7.96 (define @t126 () (lambda @t125 @t124)) % 7.71/7.96 (define @t127 () (lambda (@list @t121 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t21 (_ (_ tptp.mnot @t122) @t18)))) @t18))) % 7.71/7.96 (define @t128 () (lambda (@list @t106 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t105 @t18) (_ (_ tptp.mnot @t107) @t18)))) @t18))) % 7.71/7.96 (define @t129 () (@var "S" $$unsorted)) % 7.71/7.96 (define @t130 () (_ @t103 @t129)) % 7.71/7.96 (define @t131 () (@list @t129)) % 7.71/7.96 (define @t132 () (@list @t103)) % 7.71/7.96 (define @t133 () (lambda @t132 (forall @t131 (_ @t130 @t129)))) % 7.71/7.96 (define @t134 () (@var "T" $$unsorted)) % 7.71/7.96 (define @t135 () (_ @t103 @t134)) % 7.71/7.96 (define @t136 () (_ @t130 @t134)) % 7.71/7.96 (define @t137 () (lambda @t132 (forall (@list @t129 @t134) (=> @t136 (_ @t135 @t129))))) % 7.71/7.96 (define @t138 () (@list @t134)) % 7.71/7.96 (define @t139 () (lambda @t132 (forall @t131 (exists @t138 @t136)))) % 7.71/7.96 (define @t140 () (@var "U" $$unsorted)) % 7.71/7.96 (define @t141 () (_ @t130 @t140)) % 7.71/7.96 (define @t142 () (_ @t135 @t140)) % 7.71/7.96 (define @t143 () (@list @t129 @t134 @t140)) % 7.71/7.96 (define @t144 () (lambda @t132 (forall @t143 (=> (and @t136 @t142) @t141)))) % 7.71/7.96 (define @t145 () (and @t136 @t141)) % 7.71/7.96 (define @t146 () (lambda @t132 (forall @t143 (=> @t145 @t142)))) % 7.71/7.96 (define @t147 () (= @t134 @t140)) % 7.71/7.96 (define @t148 () (lambda @t132 (forall @t143 (=> @t145 @t147)))) % 7.71/7.96 (define @t149 () (@list @t140)) % 7.71/7.96 (define @t150 () (lambda @t132 (forall @t131 (exists @t138 (and @t136 (forall @t149 (=> @t141 @t147))))))) % 7.71/7.96 (define @t151 () (_ @t103 @t140)) % 7.71/7.96 (define @t152 () (_ @t151 @t134)) % 7.71/7.96 (define @t153 () (lambda @t132 (forall @t143 (=> @t136 (exists @t149 (and @t141 @t152)))))) % 7.71/7.96 (define @t154 () (lambda @t132 (forall @t143 (=> @t145 (or @t142 @t147 @t152))))) % 7.71/7.96 (define @t155 () (lambda @t132 (forall @t143 (=> @t145 (exists @t6 (and (_ @t135 @t1) (_ @t151 @t1))))))) % 7.71/7.96 (define @t156 () (forall @t109 @t95)) % 7.71/7.96 (define @t157 () (@list @t94)) % 7.71/7.96 (define @t158 () (lambda @t157 @t156)) % 7.71/7.96 (define @t159 () (lambda @t157 (exists @t109 @t95))) % 7.71/7.96 (define @t160 () (lambda @t157 (exists @t109 @t96))) % 7.71/7.96 (define @t161 () (lambda @t157 (forall @t109 @t96))) % 7.71/7.96 (define @t162 () (lambda @t97 (forall @t6 (or (not (_ (_ tptp.rel_s4 @t7) @t1)) @t102)))) % 7.71/7.96 (define @t163 () (lambda (@list @t94 @t18) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t112)) @t18))) % 7.71/7.96 (define @t164 () (@var "BOUND_VARIABLE_11405" tptp.mu)) % 7.71/7.96 (define @t165 () (@var "BOUND_VARIABLE_11407" tptp.mu)) % 7.71/7.96 (define @t166 () (tptp.qmltpeq @t165 (tptp.unordered_pair @t2 @t164) @t7)) % 7.71/7.96 (define @t167 () (@var "BOUND_VARIABLE_11088" tptp.mu)) % 7.71/7.96 (define @t168 () (tptp.in @t167 @t165 @t7)) % 7.71/7.96 (define @t169 () (tptp.qmltpeq @t167 @t164 @t7)) % 7.71/7.96 (define @t170 () (tptp.qmltpeq @t167 @t2 @t7)) % 7.71/7.96 (define @t171 () (not @t170)) % 7.71/7.96 (define @t172 () (not (tptp.exists_in_world @t167 @t7))) % 7.71/7.96 (define @t173 () (@list @t167)) % 7.71/7.96 (define @t174 () (@var "BOUND_VARIABLE_11409" tptp.mu)) % 7.71/7.96 (define @t175 () (tptp.in @t174 @t165 @t7)) % 7.71/7.96 (define @t176 () (tptp.qmltpeq @t174 @t164 @t7)) % 7.71/7.96 (define @t177 () (tptp.qmltpeq @t174 @t2 @t7)) % 7.71/7.96 (define @t178 () (and (or (not @t166) (not (tptp.exists_in_world @t174 @t7)) (and (or (not @t175) @t177 @t176) (or (and (not @t177) (not @t176)) @t175))) (or (not (forall @t173 (or @t172 (and (or (not @t168) @t170 @t169) (or (and @t171 (not @t169)) @t168))))) @t166))) % 7.71/7.96 (define @t179 () (not (tptp.exists_in_world @t165 @t7))) % 7.71/7.96 (define @t180 () (not (tptp.exists_in_world @t164 @t7))) % 7.71/7.96 (define @t181 () (tptp.exists_in_world @t2 @t7)) % 7.71/7.96 (define @t182 () (not @t181)) % 7.71/7.96 (define @t183 () (or @t182 @t180 @t179 @t178)) % 7.71/7.96 (define @t184 () (@list @t2 @t164 @t165 @t174)) % 7.71/7.96 (define @t185 () (forall @t184 @t183)) % 7.71/7.96 (define @t186 () (lambda @t109 @t185)) % 7.71/7.96 (define @t187 () (_ @t186 @t7)) % 7.71/7.96 (define @t188 () (forall @t109 @t187)) % 7.71/7.96 (define @t189 () (_ @t94 @t7)) % 7.71/7.96 (define @t190 () (lambda @t157 (forall @t109 @t189))) % 7.71/7.96 (define @t191 () (or @t180 @t179 @t178)) % 7.71/7.96 (define @t192 () (or @t182 @t191)) % 7.71/7.96 (define @t193 () (forall @t184 @t192)) % 7.71/7.96 (define @t194 () (@list @t164 @t165 @t174)) % 7.71/7.96 (define @t195 () (forall @t194 @t192)) % 7.71/7.96 (define @t196 () (forall @t194 @t191)) % 7.71/7.96 (define @t197 () (@var "BOUND_VARIABLE_11272" tptp.mu)) % 7.71/7.96 (define @t198 () (@var "BOUND_VARIABLE_11270" tptp.mu)) % 7.71/7.96 (define @t199 () (@var "BOUND_VARIABLE_11348" tptp.mu)) % 7.71/7.96 (define @t200 () (or @t182 @t196)) % 7.71/7.96 (define @t201 () (tptp.qmltpeq @t198 (tptp.unordered_pair @t2 @t199) @t7)) % 7.71/7.96 (define @t202 () (tptp.in @t167 @t198 @t7)) % 7.71/7.96 (define @t203 () (tptp.qmltpeq @t167 @t199 @t7)) % 7.71/7.96 (define @t204 () (not @t202)) % 7.71/7.96 (define @t205 () (tptp.in @t197 @t198 @t7)) % 7.71/7.96 (define @t206 () (tptp.qmltpeq @t197 @t199 @t7)) % 7.71/7.96 (define @t207 () (tptp.qmltpeq @t197 @t2 @t7)) % 7.71/7.96 (define @t208 () (not @t207)) % 7.71/7.96 (define @t209 () (not @t205)) % 7.71/7.96 (define @t210 () (not (tptp.exists_in_world @t197 @t7))) % 7.71/7.96 (define @t211 () (not (tptp.exists_in_world @t198 @t7))) % 7.71/7.96 (define @t212 () (@list @t199 @t198 @t197)) % 7.71/7.96 (define @t213 () (forall @t212 (or (not (tptp.exists_in_world @t199 @t7)) @t211 (and (or (not @t201) @t210 (and (or @t209 @t207 @t206) (or (and @t208 (not @t206)) @t205))) (or (not (forall @t173 (or @t172 (and (or @t204 @t170 @t203) (or (and @t171 (not @t203)) @t202))))) @t201))))) % 7.71/7.96 (define @t214 () (tptp.qmltpeq @t198 (tptp.unordered_pair @t31 @t199) @t18)) % 7.71/7.96 (define @t215 () (tptp.in @t167 @t198 @t18)) % 7.71/7.96 (define @t216 () (tptp.qmltpeq @t167 @t199 @t18)) % 7.71/7.96 (define @t217 () (tptp.qmltpeq @t167 @t31 @t18)) % 7.71/7.96 (define @t218 () (not @t217)) % 7.71/7.96 (define @t219 () (not @t215)) % 7.71/7.96 (define @t220 () (not (tptp.exists_in_world @t167 @t18))) % 7.71/7.96 (define @t221 () (tptp.in @t197 @t198 @t18)) % 7.71/7.96 (define @t222 () (tptp.qmltpeq @t197 @t199 @t18)) % 7.71/7.96 (define @t223 () (tptp.qmltpeq @t197 @t31 @t18)) % 7.71/7.96 (define @t224 () (not @t223)) % 7.71/7.96 (define @t225 () (not @t221)) % 7.71/7.96 (define @t226 () (not (tptp.exists_in_world @t197 @t18))) % 7.71/7.96 (define @t227 () (not (tptp.exists_in_world @t198 @t18))) % 7.71/7.96 (define @t228 () (tptp.unordered_pair @t31 @t2)) % 7.71/7.96 (define @t229 () (tptp.qmltpeq @t198 @t228 @t18)) % 7.71/7.96 (define @t230 () (tptp.qmltpeq @t167 @t2 @t18)) % 7.71/7.96 (define @t231 () (tptp.qmltpeq @t197 @t2 @t18)) % 7.71/7.96 (define @t232 () (not (tptp.exists_in_world @t2 @t18))) % 7.71/7.96 (define @t233 () (@list @t2 @t198 @t197)) % 7.71/7.96 (define @t234 () (forall @t233 (or @t232 @t227 (and (or (not @t229) @t226 (and (or @t225 @t223 @t231) (or (and @t224 (not @t231)) @t221))) (or (not (forall @t173 (or @t220 (and (or @t219 @t217 @t230) (or (and @t218 (not @t230)) @t215))))) @t229))))) % 7.71/7.96 (define @t235 () (@list @t2)) % 7.71/7.96 (define @t236 () (lambda @t38 @t234)) % 7.71/7.96 (define @t237 () (or @t182 (_ @t236 @t2 @t7))) % 7.71/7.96 (define @t238 () (forall @t5 @t237)) % 7.71/7.96 (define @t239 () (lambda @t109 @t238)) % 7.71/7.96 (define @t240 () (_ @t121 @t2 @t7)) % 7.71/7.96 (define @t241 () (lambda @t125 (forall @t5 (or @t182 @t240)))) % 7.71/7.96 (define @t242 () (tptp.qmltpeq @t198 @t228 @t7)) % 7.71/7.96 (define @t243 () (tptp.qmltpeq @t167 @t31 @t7)) % 7.71/7.96 (define @t244 () (not @t243)) % 7.71/7.96 (define @t245 () (and @t244 @t171)) % 7.71/7.96 (define @t246 () (tptp.qmltpeq @t197 @t31 @t7)) % 7.71/7.96 (define @t247 () (and (or (not @t242) @t210 (and (or @t209 @t246 @t207) (or (and (not @t246) @t208) @t205))) (or (not (forall @t173 (or @t172 (and (or @t204 @t243 @t170) (or @t245 @t202))))) @t242))) % 7.71/7.96 (define @t248 () (or @t182 @t211 @t247)) % 7.71/7.96 (define @t249 () (or @t211 @t247)) % 7.71/7.96 (define @t250 () (or @t182 @t249)) % 7.71/7.96 (define @t251 () (forall @t233 @t250)) % 7.71/7.96 (define @t252 () (@list @t198 @t197)) % 7.71/7.96 (define @t253 () (forall @t252 @t250)) % 7.71/7.96 (define @t254 () (forall @t252 @t249)) % 7.71/7.96 (define @t255 () (@var "BOUND_VARIABLE_11153" tptp.mu)) % 7.71/7.96 (define @t256 () (@var "BOUND_VARIABLE_11213" tptp.mu)) % 7.71/7.96 (define @t257 () (or @t182 @t254)) % 7.71/7.96 (define @t258 () (tptp.qmltpeq @t256 @t228 @t7)) % 7.71/7.96 (define @t259 () (tptp.in @t167 @t256 @t7)) % 7.71/7.96 (define @t260 () (tptp.in @t255 @t256 @t7)) % 7.71/7.96 (define @t261 () (tptp.qmltpeq @t255 @t2 @t7)) % 7.71/7.96 (define @t262 () (tptp.qmltpeq @t255 @t31 @t7)) % 7.71/7.96 (define @t263 () (not @t262)) % 7.71/7.96 (define @t264 () (not (tptp.exists_in_world @t255 @t7))) % 7.71/7.96 (define @t265 () (@list @t256 @t255)) % 7.71/7.96 (define @t266 () (forall @t265 (or (not (tptp.exists_in_world @t256 @t7)) (and (or (not @t258) @t264 (and (or (not @t260) @t262 @t261) (or (and @t263 (not @t261)) @t260))) (or (not (forall @t173 (or @t172 (and (or (not @t259) @t243 @t170) (or @t245 @t259))))) @t258))))) % 7.71/7.96 (define @t267 () (tptp.unordered_pair @t31 @t29)) % 7.71/7.96 (define @t268 () (tptp.qmltpeq @t256 @t267 @t18)) % 7.71/7.96 (define @t269 () (tptp.in @t167 @t256 @t18)) % 7.71/7.96 (define @t270 () (tptp.qmltpeq @t167 @t29 @t18)) % 7.71/7.96 (define @t271 () (and @t218 (not @t270))) % 7.71/7.96 (define @t272 () (tptp.in @t255 @t256 @t18)) % 7.71/7.96 (define @t273 () (tptp.qmltpeq @t255 @t29 @t18)) % 7.71/7.96 (define @t274 () (tptp.qmltpeq @t255 @t31 @t18)) % 7.71/7.96 (define @t275 () (and (not @t274) (not @t273))) % 7.71/7.96 (define @t276 () (not (tptp.exists_in_world @t255 @t18))) % 7.71/7.96 (define @t277 () (tptp.qmltpeq @t2 @t267 @t18)) % 7.71/7.96 (define @t278 () (tptp.in @t167 @t2 @t18)) % 7.71/7.96 (define @t279 () (tptp.in @t255 @t2 @t18)) % 7.71/7.96 (define @t280 () (@list @t2 @t255)) % 7.71/7.96 (define @t281 () (forall @t280 (or @t232 (and (or (not @t277) @t276 (and (or (not @t279) @t274 @t273) (or @t275 @t279))) (or (not (forall @t173 (or @t220 (and (or (not @t278) @t217 @t270) (or @t271 @t278))))) @t277))))) % 7.71/7.96 (define @t282 () (lambda @t37 @t281)) % 7.71/7.96 (define @t283 () (or @t182 (_ @t282 @t2 @t7))) % 7.71/7.96 (define @t284 () (forall @t5 @t283)) % 7.71/7.96 (define @t285 () (lambda @t109 @t284)) % 7.71/7.96 (define @t286 () (tptp.qmltpeq @t2 @t267 @t7)) % 7.71/7.96 (define @t287 () (tptp.in @t167 @t2 @t7)) % 7.71/7.96 (define @t288 () (tptp.qmltpeq @t167 @t29 @t7)) % 7.71/7.96 (define @t289 () (forall @t173 (or @t172 (and (or (not @t287) @t243 @t288) (or (and @t244 (not @t288)) @t287))))) % 7.71/7.96 (define @t290 () (not @t289)) % 7.71/7.96 (define @t291 () (or @t290 @t286)) % 7.71/7.96 (define @t292 () (tptp.in @t255 @t2 @t7)) % 7.71/7.96 (define @t293 () (tptp.qmltpeq @t255 @t29 @t7)) % 7.71/7.96 (define @t294 () (and (or (not @t292) @t262 @t293) (or (and @t263 (not @t293)) @t292))) % 7.71/7.96 (define @t295 () (not @t286)) % 7.71/7.96 (define @t296 () (or @t295 @t264 @t294)) % 7.71/7.96 (define @t297 () (or @t264 @t294)) % 7.71/7.96 (define @t298 () (or @t295 @t297)) % 7.71/7.96 (define @t299 () (and @t298 @t291)) % 7.71/7.96 (define @t300 () (or @t182 @t299)) % 7.71/7.96 (define @t301 () (forall @t280 @t300)) % 7.71/7.96 (define @t302 () (@list @t255)) % 7.71/7.96 (define @t303 () (forall @t302 @t300)) % 7.71/7.96 (define @t304 () (forall @t302 @t291)) % 7.71/7.96 (define @t305 () (forall @t302 @t297)) % 7.71/7.96 (define @t306 () (@list @t167)) % 7.71/7.96 (define @t307 () (or @t295 @t305)) % 7.71/7.96 (define @t308 () (forall @t302 @t298)) % 7.71/7.96 (define @t309 () (and @t308 @t304)) % 7.71/7.96 (define @t310 () (forall @t302 @t299)) % 7.71/7.96 (define @t311 () (or @t182 @t310)) % 7.71/7.96 (define @t312 () (_ (_ @t19 @t54) @t7)) % 7.71/7.96 (define @t313 () (or @t290 @t312)) % 7.71/7.96 (define @t314 () (not @t312)) % 7.71/7.96 (define @t315 () (or @t314 @t289)) % 7.71/7.96 (define @t316 () (and @t315 @t313)) % 7.71/7.96 (define @t317 () (or @t182 @t316)) % 7.71/7.96 (define @t318 () (not @t313)) % 7.71/7.96 (define @t319 () (not @t315)) % 7.71/7.96 (define @t320 () (not (or @t319 @t318))) % 7.71/7.96 (define @t321 () (or @t182 @t320)) % 7.71/7.96 (define @t322 () (_ @t70 @t18)) % 7.71/7.96 (define @t323 () (tptp.in @t167 @t28 @t18)) % 7.71/7.96 (define @t324 () (forall @t173 (or @t220 (and (or (not @t323) @t217 @t270) (or @t271 @t323))))) % 7.71/7.96 (define @t325 () (not @t322)) % 7.71/7.96 (define @t326 () (tptp.in @t2 @t28 @t18)) % 7.71/7.96 (define @t327 () (tptp.qmltpeq @t2 @t29 @t18)) % 7.71/7.96 (define @t328 () (tptp.qmltpeq @t2 @t31 @t18)) % 7.71/7.96 (define @t329 () (not @t326)) % 7.71/7.96 (define @t330 () (forall @t5 (or @t232 (and (or @t329 @t328 @t327) (or (and (not @t328) (not @t327)) @t326))))) % 7.71/7.96 (define @t331 () (not @t330)) % 7.71/7.96 (define @t332 () (or @t331 @t322)) % 7.71/7.96 (define @t333 () (not @t332)) % 7.71/7.96 (define @t334 () (or @t325 @t330)) % 7.71/7.96 (define @t335 () (not @t334)) % 7.71/7.96 (define @t336 () (or @t335 @t333)) % 7.71/7.96 (define @t337 () (not @t336)) % 7.71/7.96 (define @t338 () (lambda @t36 @t337)) % 7.71/7.96 (define @t339 () (or @t182 (_ @t338 @t2 @t7))) % 7.71/7.96 (define @t340 () (forall @t5 @t339)) % 7.71/7.96 (define @t341 () (lambda @t109 @t340)) % 7.71/7.96 (define @t342 () (@list @t18)) % 7.71/7.96 (define @t343 () (tptp.in @t2 @t28 @t7)) % 7.71/7.96 (define @t344 () (tptp.qmltpeq @t2 @t29 @t7)) % 7.71/7.96 (define @t345 () (tptp.qmltpeq @t2 @t31 @t7)) % 7.71/7.96 (define @t346 () (not @t343)) % 7.71/7.96 (define @t347 () (lambda @t109 (forall @t5 (or @t182 (and (or @t346 @t345 @t344) (or (and (not @t345) (not @t344)) @t343)))))) % 7.71/7.96 (define @t348 () (_ @t347 @t18)) % 7.71/7.96 (define @t349 () (not @t348)) % 7.71/7.96 (define @t350 () (or @t349 @t322)) % 7.71/7.96 (define @t351 () (not @t350)) % 7.71/7.96 (define @t352 () (or @t325 @t348)) % 7.71/7.96 (define @t353 () (not @t352)) % 7.71/7.96 (define @t354 () (or @t353 @t351)) % 7.71/7.96 (define @t355 () (not @t354)) % 7.71/7.96 (define @t356 () (lambda @t342 @t355)) % 7.71/7.96 (define @t357 () (_ @t99 @t18)) % 7.71/7.96 (define @t358 () (not @t357)) % 7.71/7.96 (define @t359 () (@list @t99 @t18)) % 7.71/7.96 (define @t360 () (lambda @t359 (not (or (not (or @t325 @t357)) (not (or @t358 @t322)))))) % 7.71/7.96 (define @t361 () (_ tptp.in @t2)) % 7.71/7.96 (define @t362 () (_ (_ @t361 @t28) @t7)) % 7.71/7.96 (define @t363 () (_ (_ @t19 @t29) @t7)) % 7.71/7.96 (define @t364 () (not @t363)) % 7.71/7.96 (define @t365 () (_ (_ @t19 @t31) @t7)) % 7.71/7.96 (define @t366 () (not @t365)) % 7.71/7.96 (define @t367 () (and @t366 @t364)) % 7.71/7.96 (define @t368 () (or @t367 @t362)) % 7.71/7.96 (define @t369 () (not @t362)) % 7.71/7.96 (define @t370 () (or @t369 @t365 @t363)) % 7.71/7.96 (define @t371 () (and @t370 @t368)) % 7.71/7.96 (define @t372 () (or @t182 @t371)) % 7.71/7.96 (define @t373 () (or (not (or @t365 @t363)) @t362)) % 7.71/7.96 (define @t374 () (not @t373)) % 7.71/7.96 (define @t375 () (not @t370)) % 7.71/7.96 (define @t376 () (not (or @t375 @t374))) % 7.71/7.96 (define @t377 () (or @t182 @t376)) % 7.71/7.96 (define @t378 () (_ @t65 @t18)) % 7.71/7.96 (define @t379 () (_ @t62 @t18)) % 7.71/7.96 (define @t380 () (_ @t63 @t18)) % 7.71/7.96 (define @t381 () (or @t380 @t379)) % 7.71/7.96 (define @t382 () (not @t378)) % 7.71/7.96 (define @t383 () (or @t382 @t380 @t379)) % 7.71/7.96 (define @t384 () (not (or (not @t383) (not (or (not @t381) @t378))))) % 7.71/7.96 (define @t385 () (lambda @t67 @t384)) % 7.71/7.96 (define @t386 () (_ @t385 @t2 @t7)) % 7.71/7.96 (define @t387 () (or @t182 @t386)) % 7.71/7.96 (define @t388 () (forall @t5 @t387)) % 7.71/7.96 (define @t389 () (lambda @t109 @t388)) % 7.71/7.96 (define @t390 () (_ @t63 @t7)) % 7.71/7.96 (define @t391 () (lambda @t109 (or @t390 (_ @t62 @t7)))) % 7.71/7.96 (define @t392 () (_ @t391 @t18)) % 7.71/7.96 (define @t393 () (not @t392)) % 7.71/7.96 (define @t394 () (or @t393 @t378)) % 7.71/7.96 (define @t395 () (not @t394)) % 7.71/7.96 (define @t396 () (or @t382 @t392)) % 7.71/7.96 (define @t397 () (not @t396)) % 7.71/7.96 (define @t398 () (or @t397 @t395)) % 7.71/7.96 (define @t399 () (not @t398)) % 7.71/7.96 (define @t400 () (lambda @t342 @t399)) % 7.71/7.96 (define @t401 () (lambda @t359 (not (or (not (or @t382 @t357)) (not (or @t358 @t378)))))) % 7.71/7.96 (define @t402 () (@list @t99 @t7)) % 7.71/7.96 (define @t403 () (lambda @t402 (or @t390 @t100))) % 7.71/7.96 (define @t404 () (_ @t101 @t63)) % 7.71/7.96 (define @t405 () (_ @t94 @t18)) % 7.71/7.96 (define @t406 () (or @t358 @t405)) % 7.71/7.96 (define @t407 () (not @t405)) % 7.71/7.96 (define @t408 () (or @t407 @t357)) % 7.71/7.96 (define @t409 () (not @t408)) % 7.71/7.96 (define @t410 () (not (or @t409 (not @t406)))) % 7.71/7.96 (define @t411 () (lambda @t114 @t410)) % 7.71/7.96 (define @t412 () (_ @t411 @t65)) % 7.71/7.96 (define @t413 () (lambda @t67 (_ (_ @t412 (_ @t404 @t62)) @t18))) % 7.71/7.96 (define @t414 () (_ @t411 @t70)) % 7.71/7.96 (define @t415 () (lambda @t36 (_ (_ @t414 (_ @t241 @t413)) @t18))) % 7.71/7.96 (define @t416 () (lambda @t37 (_ (_ @t241 @t415) @t18))) % 7.71/7.96 (define @t417 () (lambda @t342 @t406)) % 7.71/7.96 (define @t418 () (_ @t417 @t18)) % 7.71/7.96 (define @t419 () (not @t418)) % 7.71/7.96 (define @t420 () (or @t409 @t419)) % 7.71/7.96 (define @t421 () (not @t420)) % 7.71/7.96 (define @t422 () (lambda @t342 @t421)) % 7.71/7.96 (define @t423 () (@var "BOUND_VARIABLE_7630" (-> $$unsorted Bool))) % 7.71/7.96 (define @t424 () (not (_ @t423 @t18))) % 7.71/7.96 (define @t425 () (@list @t423 @t18)) % 7.71/7.96 (define @t426 () (@var "BOUND_VARIABLE_7650" (-> $$unsorted Bool))) % 7.71/7.96 (define @t427 () (_ @t426 @t18)) % 7.71/7.96 (define @t428 () (lambda (@list @t426 @t18) (or @t358 @t427))) % 7.71/7.96 (define @t429 () (lambda @t114 @t408)) % 7.71/7.96 (define @t430 () (@list @t99)) % 7.71/7.96 (define @t431 () (lambda @t342 @t408)) % 7.71/7.96 (define @t432 () (_ @t431 @t18)) % 7.71/7.96 (define @t433 () (not @t432)) % 7.71/7.96 (define @t434 () (or @t433 @t424)) % 7.71/7.96 (define @t435 () (not @t434)) % 7.71/7.96 (define @t436 () (lambda @t425 @t435)) % 7.71/7.96 (define @t437 () (not (or @t407 @t358))) % 7.71/7.96 (define @t438 () (lambda @t114 @t437)) % 7.71/7.96 (define @t439 () (lambda @t359 @t408)) % 7.71/7.96 (define @t440 () (or @t96 @t100)) % 7.71/7.96 (define @t441 () (lambda @t109 @t440)) % 7.71/7.96 (define @t442 () (lambda @t402 @t440)) % 7.71/7.96 (define @t443 () (lambda @t109 @t96)) % 7.71/7.96 (define @t444 () (_ @t443 @t7)) % 7.71/7.96 (define @t445 () (or @t444 @t100)) % 7.71/7.96 (define @t446 () (lambda @t402 @t445)) % 7.71/7.96 (define @t447 () (not @t100)) % 7.71/7.96 (define @t448 () (or @t96 @t447)) % 7.71/7.96 (define @t449 () (lambda @t109 @t448)) % 7.71/7.96 (define @t450 () (_ @t449 @t7)) % 7.71/7.96 (define @t451 () (not @t450)) % 7.71/7.96 (define @t452 () (lambda @t109 @t451)) % 7.71/7.96 (define @t453 () (lambda @t109 @t447)) % 7.71/7.96 (define @t454 () (_ @t453 @t7)) % 7.71/7.96 (define @t455 () (or @t96 @t454)) % 7.71/7.96 (define @t456 () (lambda @t109 @t455)) % 7.71/7.96 (define @t457 () (not @t8)) % 7.71/7.96 (define @t458 () (or @t457 @t123)) % 7.71/7.96 (define @t459 () (@var "BOUND_VARIABLE_12449" tptp.mu)) % 7.71/7.96 (define @t460 () (not (tptp.in @t2 @t459 @t7))) % 7.71/7.96 (define @t461 () (@var "BOUND_VARIABLE_12447" tptp.mu)) % 7.71/7.96 (define @t462 () (not (tptp.disjoint (tptp.unordered_pair @t2 @t461) @t459 @t7))) % 7.71/7.96 (define @t463 () (not (tptp.exists_in_world @t459 @t7))) % 7.71/7.96 (define @t464 () (not (tptp.exists_in_world @t461 @t7))) % 7.71/7.96 (define @t465 () (or @t182 @t464 @t463 @t462 @t460)) % 7.71/7.96 (define @t466 () (forall (@list @t7 @t2 @t461 @t459) @t465)) % 7.71/7.96 (define @t467 () (@quantifiers_skolemize @t466 1)) % 7.71/7.96 (define @t468 () (@quantifiers_skolemize @t466 2)) % 7.71/7.96 (define @t469 () (tptp.unordered_pair @t467 @t468)) % 7.71/7.96 (define @t470 () (@quantifiers_skolemize @t466 0)) % 7.71/7.96 (define @t471 () (tptp.unordered_pair @t10 @t9)) % 7.71/7.96 (define @t472 () (tptp.exists_in_world @t471 @t1)) % 7.71/7.96 (define @t473 () (@list @t2 @t461 @t459)) % 7.71/7.96 (define @t474 () (forall @t473 @t465)) % 7.71/7.96 (define @t475 () (lambda @t109 @t474)) % 7.71/7.96 (define @t476 () (_ @t475 @t7)) % 7.71/7.96 (define @t477 () (forall @t109 @t476)) % 7.71/7.96 (define @t478 () (or @t464 @t463 @t462 @t460)) % 7.71/7.96 (define @t479 () (or @t182 @t478)) % 7.71/7.96 (define @t480 () (forall @t473 @t479)) % 7.71/7.96 (define @t481 () (@list @t461 @t459)) % 7.71/7.96 (define @t482 () (forall @t481 @t479)) % 7.71/7.96 (define @t483 () (forall @t481 @t478)) % 7.71/7.96 (define @t484 () (@var "BOUND_VARIABLE_12393" tptp.mu)) % 7.71/7.96 (define @t485 () (@var "BOUND_VARIABLE_12424" tptp.mu)) % 7.71/7.96 (define @t486 () (or @t182 @t483)) % 7.71/7.96 (define @t487 () (not (tptp.exists_in_world @t484 @t7))) % 7.71/7.96 (define @t488 () (@list @t485 @t484)) % 7.71/7.96 (define @t489 () (forall @t488 (or (not (tptp.exists_in_world @t485 @t7)) @t487 (not (tptp.disjoint (tptp.unordered_pair @t2 @t485) @t484 @t7)) (not (tptp.in @t2 @t484 @t7))))) % 7.71/7.96 (define @t490 () (not (tptp.in @t31 @t484 @t18))) % 7.71/7.96 (define @t491 () (not (tptp.exists_in_world @t484 @t18))) % 7.71/7.96 (define @t492 () (@list @t2 @t484)) % 7.71/7.96 (define @t493 () (forall @t492 (or @t232 @t491 (not (tptp.disjoint @t228 @t484 @t18)) @t490))) % 7.71/7.96 (define @t494 () (lambda @t38 @t493)) % 7.71/7.96 (define @t495 () (or @t182 (_ @t494 @t2 @t7))) % 7.71/7.96 (define @t496 () (forall @t5 @t495)) % 7.71/7.96 (define @t497 () (lambda @t109 @t496)) % 7.71/7.96 (define @t498 () (not (tptp.in @t31 @t484 @t7))) % 7.71/7.96 (define @t499 () (not (tptp.disjoint @t228 @t484 @t7))) % 7.71/7.96 (define @t500 () (or @t182 @t487 @t499 @t498)) % 7.71/7.96 (define @t501 () (or @t487 @t499 @t498)) % 7.71/7.96 (define @t502 () (or @t182 @t501)) % 7.71/7.96 (define @t503 () (forall @t492 @t502)) % 7.71/7.96 (define @t504 () (@list @t484)) % 7.71/7.96 (define @t505 () (forall @t504 @t502)) % 7.71/7.96 (define @t506 () (forall @t504 @t501)) % 7.71/7.96 (define @t507 () (@var "BOUND_VARIABLE_12370" tptp.mu)) % 7.71/7.96 (define @t508 () (@list @t507)) % 7.71/7.96 (define @t509 () (or @t182 @t506)) % 7.71/7.96 (define @t510 () (@list @t507)) % 7.71/7.96 (define @t511 () (forall @t510 (or (not (tptp.exists_in_world @t507 @t7)) (not (tptp.disjoint @t228 @t507 @t7)) (not (tptp.in @t31 @t507 @t7))))) % 7.71/7.96 (define @t512 () (forall @t5 (or @t232 (not (tptp.disjoint @t267 @t2 @t18)) (not (tptp.in @t31 @t2 @t18))))) % 7.71/7.96 (define @t513 () (lambda @t37 @t512)) % 7.71/7.96 (define @t514 () (or @t182 (_ @t513 @t2 @t7))) % 7.71/7.96 (define @t515 () (forall @t5 @t514)) % 7.71/7.96 (define @t516 () (lambda @t109 @t515)) % 7.71/7.96 (define @t517 () (tptp.in @t31 @t2 @t7)) % 7.71/7.96 (define @t518 () (tptp.disjoint @t267 @t2 @t7)) % 7.71/7.96 (define @t519 () (_ (_ @t49 @t2) @t7)) % 7.71/7.96 (define @t520 () (not @t519)) % 7.71/7.96 (define @t521 () (_ (_ @t85 @t2) @t7)) % 7.71/7.96 (define @t522 () (not @t521)) % 7.71/7.96 (define @t523 () (or @t182 @t522 @t520)) % 7.71/7.96 (define @t524 () (or @t522 @t520)) % 7.71/7.96 (define @t525 () (not (_ @t86 @t18))) % 7.71/7.96 (define @t526 () (or @t525 (not (_ @t50 @t18)))) % 7.71/7.96 (define @t527 () (lambda @t36 @t526)) % 7.71/7.96 (define @t528 () (_ @t527 @t2 @t7)) % 7.71/7.96 (define @t529 () (or @t182 @t528)) % 7.71/7.96 (define @t530 () (forall @t5 @t529)) % 7.71/7.96 (define @t531 () (lambda @t109 @t530)) % 7.71/7.96 (define @t532 () (or (not (_ @t86 @t7)) (not (_ @t50 @t7)))) % 7.71/7.96 (define @t533 () (lambda @t342 (not @t526))) % 7.71/7.96 (define @t534 () (_ @t533 @t7)) % 7.71/7.96 (define @t535 () (not @t534)) % 7.71/7.96 (define @t536 () (lambda @t109 @t535)) % 7.71/7.96 (define @t537 () (lambda @t359 (not (or @t525 @t358)))) % 7.71/7.96 (define @t538 () (_ @t438 @t86)) % 7.71/7.96 (define @t539 () (lambda @t36 (_ (_ @t98 (_ @t538 @t50)) @t18))) % 7.71/7.96 (define @t540 () (lambda @t37 (_ (_ @t241 @t539) @t18))) % 7.71/7.96 (define @t541 () (lambda @t38 (_ (_ @t241 @t540) @t18))) % 7.71/7.96 (define @t542 () (tptp.exists_in_world @t468 @t470)) % 7.71/7.96 (define @t543 () (@quantifiers_skolemize @t466 3)) % 7.71/7.96 (define @t544 () (tptp.in @t467 @t543 @t470)) % 7.71/7.96 (define @t545 () (not @t544)) % 7.71/7.96 (define @t546 () (tptp.disjoint @t469 @t543 @t470)) % 7.71/7.96 (define @t547 () (not @t546)) % 7.71/7.96 (define @t548 () (tptp.exists_in_world @t543 @t470)) % 7.71/7.96 (define @t549 () (not @t548)) % 7.71/7.96 (define @t550 () (not @t542)) % 7.71/7.96 (define @t551 () (tptp.exists_in_world @t467 @t470)) % 7.71/7.96 (define @t552 () (not @t551)) % 7.71/7.96 (define @t553 () (or @t552 @t550 @t549 @t547 @t545)) % 7.71/7.96 (define @t554 () (@list true)) % 7.71/7.96 (define @t555 () (@list @t553)) % 7.71/7.96 (define @t556 () (tptp.qmltpeq @t469 @t469 @t470)) % 7.71/7.96 (define @t557 () (tptp.in @t167 @t469 @t470)) % 7.71/7.96 (define @t558 () (tptp.qmltpeq @t167 @t468 @t470)) % 7.71/7.96 (define @t559 () (tptp.qmltpeq @t167 @t467 @t470)) % 7.71/7.96 (define @t560 () (tptp.in @t467 @t469 @t470)) % 7.71/7.96 (define @t561 () (tptp.qmltpeq @t467 @t468 @t470)) % 7.71/7.96 (define @t562 () (tptp.qmltpeq @t467 @t467 @t470)) % 7.71/7.96 (define @t563 () (not @t562)) % 7.71/7.96 (define @t564 () (and @t563 (not @t561))) % 7.71/7.96 (define @t565 () (or @t564 @t560)) % 7.71/7.96 (define @t566 () (not @t560)) % 7.71/7.96 (define @t567 () (and (or @t566 @t562 @t561) @t565)) % 7.71/7.96 (define @t568 () (not @t556)) % 7.71/7.96 (define @t569 () (or @t568 @t552 @t567)) % 7.71/7.96 (define @t570 () (and @t569 (or (not (forall @t173 (or (not (tptp.exists_in_world @t167 @t470)) (and (or (not @t557) @t559 @t558) (or (and (not @t559) (not @t558)) @t557))))) @t556))) % 7.71/7.96 (define @t571 () (tptp.exists_in_world @t469 @t470)) % 7.71/7.96 (define @t572 () (not @t571)) % 7.71/7.96 (define @t573 () (or @t552 @t550 @t572 @t570)) % 7.71/7.96 (define @t574 () (@list false false false false)) % 7.71/7.96 (define @t575 () (tptp.qmltpeq @t2 @t2 @t7)) % 7.71/7.96 (define @t576 () (or @t182 @t575)) % 7.71/7.96 (define @t577 () (forall @t5 @t576)) % 7.71/7.96 (define @t578 () (lambda @t109 @t577)) % 7.71/7.96 (define @t579 () (_ @t578 @t7)) % 7.71/7.96 (define @t580 () (forall @t109 @t579)) % 7.71/7.96 (define @t581 () (_ @t20 @t7)) % 7.71/7.96 (define @t582 () (or @t182 @t581)) % 7.71/7.96 (define @t583 () (_ @t22 @t2 @t7)) % 7.71/7.96 (define @t584 () (or @t182 @t583)) % 7.71/7.96 (define @t585 () (forall @t5 @t584)) % 7.71/7.96 (define @t586 () (lambda @t109 @t585)) % 7.71/7.96 (define @t587 () (or @t552 @t562)) % 7.71/7.96 (define @t588 () (@list false false)) % 7.71/7.96 (define @t589 () (not @t564)) % 7.71/7.96 (define @t590 () (@list false)) % 7.71/7.96 (define @t591 () (@var "BOUND_VARIABLE_11891" tptp.mu)) % 7.71/7.96 (define @t592 () (@var "BOUND_VARIABLE_11893" tptp.mu)) % 7.71/7.96 (define @t593 () (tptp.qmltpeq @t592 (tptp.set_intersection2 @t2 @t591) @t7)) % 7.71/7.96 (define @t594 () (@var "BOUND_VARIABLE_11580" tptp.mu)) % 7.71/7.96 (define @t595 () (tptp.in @t594 @t591 @t7)) % 7.71/7.96 (define @t596 () (tptp.in @t594 @t2 @t7)) % 7.71/7.96 (define @t597 () (not @t596)) % 7.71/7.96 (define @t598 () (tptp.in @t594 @t592 @t7)) % 7.71/7.96 (define @t599 () (not (tptp.exists_in_world @t594 @t7))) % 7.71/7.96 (define @t600 () (@list @t594)) % 7.71/7.96 (define @t601 () (@var "BOUND_VARIABLE_11895" tptp.mu)) % 7.71/7.96 (define @t602 () (tptp.in @t601 @t591 @t7)) % 7.71/7.96 (define @t603 () (tptp.in @t601 @t2 @t7)) % 7.71/7.96 (define @t604 () (tptp.in @t601 @t592 @t7)) % 7.71/7.96 (define @t605 () (and (or (not @t593) (not (tptp.exists_in_world @t601 @t7)) (and (or (not @t604) (and @t603 @t602)) (or @t604 (not @t603) (not @t602)))) (or (not (forall @t600 (or @t599 (and (or (not @t598) (and @t596 @t595)) (or @t598 @t597 (not @t595)))))) @t593))) % 7.71/7.96 (define @t606 () (not (tptp.exists_in_world @t592 @t7))) % 7.71/7.96 (define @t607 () (not (tptp.exists_in_world @t591 @t7))) % 7.71/7.96 (define @t608 () (or @t182 @t607 @t606 @t605)) % 7.71/7.96 (define @t609 () (@list @t2 @t591 @t592 @t601)) % 7.71/7.96 (define @t610 () (forall @t609 @t608)) % 7.71/7.96 (define @t611 () (lambda @t109 @t610)) % 7.71/7.96 (define @t612 () (_ @t611 @t7)) % 7.71/7.96 (define @t613 () (forall @t109 @t612)) % 7.71/7.96 (define @t614 () (or @t607 @t606 @t605)) % 7.71/7.96 (define @t615 () (or @t182 @t614)) % 7.71/7.96 (define @t616 () (forall @t609 @t615)) % 7.71/7.96 (define @t617 () (@list @t591 @t592 @t601)) % 7.71/7.96 (define @t618 () (forall @t617 @t615)) % 7.71/7.96 (define @t619 () (forall @t617 @t614)) % 7.71/7.96 (define @t620 () (@var "BOUND_VARIABLE_11760" tptp.mu)) % 7.71/7.96 (define @t621 () (@var "BOUND_VARIABLE_11758" tptp.mu)) % 7.71/7.96 (define @t622 () (@var "BOUND_VARIABLE_11834" tptp.mu)) % 7.71/7.96 (define @t623 () (or @t182 @t619)) % 7.71/7.96 (define @t624 () (tptp.qmltpeq @t621 (tptp.set_intersection2 @t2 @t622) @t7)) % 7.71/7.96 (define @t625 () (tptp.in @t594 @t622 @t7)) % 7.71/7.96 (define @t626 () (tptp.in @t594 @t621 @t7)) % 7.71/7.96 (define @t627 () (not @t626)) % 7.71/7.96 (define @t628 () (tptp.in @t620 @t622 @t7)) % 7.71/7.96 (define @t629 () (tptp.in @t620 @t2 @t7)) % 7.71/7.96 (define @t630 () (not @t629)) % 7.71/7.96 (define @t631 () (tptp.in @t620 @t621 @t7)) % 7.71/7.96 (define @t632 () (not @t631)) % 7.71/7.96 (define @t633 () (not (tptp.exists_in_world @t620 @t7))) % 7.71/7.96 (define @t634 () (not (tptp.exists_in_world @t621 @t7))) % 7.71/7.96 (define @t635 () (@list @t622 @t621 @t620)) % 7.71/7.96 (define @t636 () (forall @t635 (or (not (tptp.exists_in_world @t622 @t7)) @t634 (and (or (not @t624) @t633 (and (or @t632 (and @t629 @t628)) (or @t631 @t630 (not @t628)))) (or (not (forall @t600 (or @t599 (and (or @t627 (and @t596 @t625)) (or @t626 @t597 (not @t625)))))) @t624))))) % 7.71/7.96 (define @t637 () (tptp.qmltpeq @t621 (tptp.set_intersection2 @t31 @t622) @t18)) % 7.71/7.96 (define @t638 () (tptp.in @t594 @t622 @t18)) % 7.71/7.96 (define @t639 () (tptp.in @t594 @t31 @t18)) % 7.71/7.96 (define @t640 () (not @t639)) % 7.71/7.96 (define @t641 () (tptp.in @t594 @t621 @t18)) % 7.71/7.96 (define @t642 () (not @t641)) % 7.71/7.96 (define @t643 () (not (tptp.exists_in_world @t594 @t18))) % 7.71/7.96 (define @t644 () (tptp.in @t620 @t622 @t18)) % 7.71/7.96 (define @t645 () (tptp.in @t620 @t31 @t18)) % 7.71/7.96 (define @t646 () (not @t645)) % 7.71/7.96 (define @t647 () (tptp.in @t620 @t621 @t18)) % 7.71/7.96 (define @t648 () (not @t647)) % 7.71/7.96 (define @t649 () (not (tptp.exists_in_world @t620 @t18))) % 7.71/7.96 (define @t650 () (not (tptp.exists_in_world @t621 @t18))) % 7.71/7.96 (define @t651 () (tptp.set_intersection2 @t31 @t2)) % 7.71/7.96 (define @t652 () (tptp.qmltpeq @t621 @t651 @t18)) % 7.71/7.96 (define @t653 () (tptp.in @t594 @t2 @t18)) % 7.71/7.96 (define @t654 () (not @t653)) % 7.71/7.96 (define @t655 () (tptp.in @t620 @t2 @t18)) % 7.71/7.96 (define @t656 () (@list @t2 @t621 @t620)) % 7.71/7.96 (define @t657 () (forall @t656 (or @t232 @t650 (and (or (not @t652) @t649 (and (or @t648 (and @t645 @t655)) (or @t647 @t646 (not @t655)))) (or (not (forall @t600 (or @t643 (and (or @t642 (and @t639 @t653)) (or @t641 @t640 @t654))))) @t652))))) % 7.71/7.96 (define @t658 () (lambda @t38 @t657)) % 7.71/7.96 (define @t659 () (or @t182 (_ @t658 @t2 @t7))) % 7.71/7.96 (define @t660 () (forall @t5 @t659)) % 7.71/7.96 (define @t661 () (lambda @t109 @t660)) % 7.71/7.96 (define @t662 () (tptp.qmltpeq @t621 @t651 @t7)) % 7.71/7.96 (define @t663 () (tptp.in @t594 @t31 @t7)) % 7.71/7.96 (define @t664 () (not @t663)) % 7.71/7.96 (define @t665 () (and @t663 @t596)) % 7.71/7.96 (define @t666 () (tptp.in @t620 @t31 @t7)) % 7.71/7.96 (define @t667 () (and (or (not @t662) @t633 (and (or @t632 (and @t666 @t629)) (or @t631 (not @t666) @t630))) (or (not (forall @t600 (or @t599 (and (or @t627 @t665) (or @t626 @t664 @t597))))) @t662))) % 7.71/7.96 (define @t668 () (or @t182 @t634 @t667)) % 7.71/7.96 (define @t669 () (or @t634 @t667)) % 7.71/7.96 (define @t670 () (or @t182 @t669)) % 7.71/7.96 (define @t671 () (forall @t656 @t670)) % 7.71/7.96 (define @t672 () (@list @t621 @t620)) % 7.71/7.96 (define @t673 () (forall @t672 @t670)) % 7.71/7.96 (define @t674 () (forall @t672 @t669)) % 7.71/7.96 (define @t675 () (@var "BOUND_VARIABLE_11645" tptp.mu)) % 7.71/7.96 (define @t676 () (@var "BOUND_VARIABLE_11705" tptp.mu)) % 7.71/7.96 (define @t677 () (or @t182 @t674)) % 7.71/7.96 (define @t678 () (tptp.qmltpeq @t676 @t651 @t7)) % 7.71/7.96 (define @t679 () (tptp.in @t594 @t676 @t7)) % 7.71/7.96 (define @t680 () (tptp.in @t675 @t2 @t7)) % 7.71/7.96 (define @t681 () (not @t680)) % 7.71/7.96 (define @t682 () (tptp.in @t675 @t31 @t7)) % 7.71/7.96 (define @t683 () (not @t682)) % 7.71/7.96 (define @t684 () (tptp.in @t675 @t676 @t7)) % 7.71/7.96 (define @t685 () (not (tptp.exists_in_world @t675 @t7))) % 7.71/7.96 (define @t686 () (@list @t676 @t675)) % 7.71/7.96 (define @t687 () (forall @t686 (or (not (tptp.exists_in_world @t676 @t7)) (and (or (not @t678) @t685 (and (or (not @t684) (and @t682 @t680)) (or @t684 @t683 @t681))) (or (not (forall @t600 (or @t599 (and (or (not @t679) @t665) (or @t679 @t664 @t597))))) @t678))))) % 7.71/7.96 (define @t688 () (tptp.set_intersection2 @t31 @t29)) % 7.71/7.96 (define @t689 () (tptp.qmltpeq @t676 @t688 @t18)) % 7.71/7.96 (define @t690 () (tptp.in @t594 @t29 @t18)) % 7.71/7.96 (define @t691 () (not @t690)) % 7.71/7.96 (define @t692 () (tptp.in @t594 @t676 @t18)) % 7.71/7.96 (define @t693 () (and @t639 @t690)) % 7.71/7.96 (define @t694 () (tptp.in @t675 @t29 @t18)) % 7.71/7.96 (define @t695 () (not @t694)) % 7.71/7.96 (define @t696 () (tptp.in @t675 @t31 @t18)) % 7.71/7.96 (define @t697 () (not @t696)) % 7.71/7.96 (define @t698 () (tptp.in @t675 @t676 @t18)) % 7.71/7.96 (define @t699 () (and @t696 @t694)) % 7.71/7.96 (define @t700 () (not (tptp.exists_in_world @t675 @t18))) % 7.71/7.96 (define @t701 () (tptp.qmltpeq @t2 @t688 @t18)) % 7.71/7.96 (define @t702 () (tptp.in @t675 @t2 @t18)) % 7.71/7.96 (define @t703 () (@list @t2 @t675)) % 7.71/7.96 (define @t704 () (forall @t703 (or @t232 (and (or (not @t701) @t700 (and (or (not @t702) @t699) (or @t702 @t697 @t695))) (or (not (forall @t600 (or @t643 (and (or @t654 @t693) (or @t653 @t640 @t691))))) @t701))))) % 7.71/7.96 (define @t705 () (lambda @t37 @t704)) % 7.71/7.96 (define @t706 () (or @t182 (_ @t705 @t2 @t7))) % 7.71/7.96 (define @t707 () (forall @t5 @t706)) % 7.71/7.96 (define @t708 () (lambda @t109 @t707)) % 7.71/7.96 (define @t709 () (tptp.qmltpeq @t2 @t688 @t7)) % 7.71/7.96 (define @t710 () (tptp.in @t594 @t29 @t7)) % 7.71/7.96 (define @t711 () (forall @t600 (or @t599 (and (or @t597 (and @t663 @t710)) (or @t596 @t664 (not @t710)))))) % 7.71/7.96 (define @t712 () (not @t711)) % 7.71/7.96 (define @t713 () (or @t712 @t709)) % 7.71/7.96 (define @t714 () (tptp.in @t675 @t29 @t7)) % 7.71/7.96 (define @t715 () (and (or @t681 (and @t682 @t714)) (or @t680 @t683 (not @t714)))) % 7.71/7.96 (define @t716 () (not @t709)) % 7.71/7.96 (define @t717 () (or @t716 @t685 @t715)) % 7.71/7.96 (define @t718 () (or @t685 @t715)) % 7.71/7.96 (define @t719 () (or @t716 @t718)) % 7.71/7.96 (define @t720 () (and @t719 @t713)) % 7.71/7.96 (define @t721 () (or @t182 @t720)) % 7.71/7.96 (define @t722 () (forall @t703 @t721)) % 7.71/7.96 (define @t723 () (@list @t675)) % 7.71/7.96 (define @t724 () (forall @t723 @t721)) % 7.71/7.96 (define @t725 () (forall @t723 @t713)) % 7.71/7.96 (define @t726 () (forall @t723 @t718)) % 7.71/7.96 (define @t727 () (@list @t594)) % 7.71/7.96 (define @t728 () (or @t716 @t726)) % 7.71/7.96 (define @t729 () (forall @t723 @t719)) % 7.71/7.96 (define @t730 () (and @t729 @t725)) % 7.71/7.96 (define @t731 () (forall @t723 @t720)) % 7.71/7.96 (define @t732 () (or @t182 @t731)) % 7.71/7.96 (define @t733 () (_ (_ @t19 @t55) @t7)) % 7.71/7.96 (define @t734 () (or @t712 @t733)) % 7.71/7.96 (define @t735 () (not @t733)) % 7.71/7.96 (define @t736 () (or @t735 @t711)) % 7.71/7.96 (define @t737 () (and @t736 @t734)) % 7.71/7.96 (define @t738 () (or @t182 @t737)) % 7.71/7.96 (define @t739 () (not @t734)) % 7.71/7.96 (define @t740 () (not @t736)) % 7.71/7.96 (define @t741 () (not (or @t740 @t739))) % 7.71/7.96 (define @t742 () (or @t182 @t741)) % 7.71/7.96 (define @t743 () (_ @t77 @t18)) % 7.71/7.96 (define @t744 () (tptp.in @t594 @t28 @t18)) % 7.71/7.96 (define @t745 () (forall @t600 (or @t643 (and (or (not @t744) @t693) (or @t744 @t640 @t691))))) % 7.71/7.96 (define @t746 () (not @t743)) % 7.71/7.96 (define @t747 () (tptp.in @t2 @t29 @t18)) % 7.71/7.96 (define @t748 () (tptp.in @t2 @t31 @t18)) % 7.71/7.96 (define @t749 () (not @t748)) % 7.71/7.96 (define @t750 () (forall @t5 (or @t232 (and (or @t329 (and @t748 @t747)) (or @t326 @t749 (not @t747)))))) % 7.71/7.96 (define @t751 () (not @t750)) % 7.71/7.96 (define @t752 () (or @t751 @t743)) % 7.71/7.96 (define @t753 () (not @t752)) % 7.71/7.96 (define @t754 () (or @t746 @t750)) % 7.71/7.96 (define @t755 () (not @t754)) % 7.71/7.96 (define @t756 () (or @t755 @t753)) % 7.71/7.96 (define @t757 () (not @t756)) % 7.71/7.96 (define @t758 () (lambda @t36 @t757)) % 7.71/7.96 (define @t759 () (or @t182 (_ @t758 @t2 @t7))) % 7.71/7.96 (define @t760 () (forall @t5 @t759)) % 7.71/7.96 (define @t761 () (lambda @t109 @t760)) % 7.71/7.96 (define @t762 () (tptp.in @t2 @t29 @t7)) % 7.71/7.96 (define @t763 () (tptp.in @t2 @t31 @t7)) % 7.71/7.96 (define @t764 () (not @t763)) % 7.71/7.96 (define @t765 () (lambda @t109 (forall @t5 (or @t182 (and (or @t346 (and @t763 @t762)) (or @t343 @t764 (not @t762))))))) % 7.71/7.96 (define @t766 () (_ @t765 @t18)) % 7.71/7.96 (define @t767 () (not @t766)) % 7.71/7.96 (define @t768 () (or @t767 @t743)) % 7.71/7.96 (define @t769 () (not @t768)) % 7.71/7.96 (define @t770 () (or @t746 @t766)) % 7.71/7.96 (define @t771 () (not @t770)) % 7.71/7.96 (define @t772 () (or @t771 @t769)) % 7.71/7.96 (define @t773 () (not @t772)) % 7.71/7.96 (define @t774 () (lambda @t342 @t773)) % 7.71/7.96 (define @t775 () (lambda @t359 (not (or (not (or @t746 @t357)) (not (or @t358 @t743)))))) % 7.71/7.96 (define @t776 () (_ (_ @t361 @t29) @t7)) % 7.71/7.96 (define @t777 () (not @t776)) % 7.71/7.96 (define @t778 () (_ (_ @t361 @t31) @t7)) % 7.71/7.96 (define @t779 () (not @t778)) % 7.71/7.96 (define @t780 () (or @t362 @t779 @t777)) % 7.71/7.96 (define @t781 () (and @t778 @t776)) % 7.71/7.96 (define @t782 () (or @t369 @t781)) % 7.71/7.96 (define @t783 () (and @t782 @t780)) % 7.71/7.96 (define @t784 () (or @t182 @t783)) % 7.71/7.96 (define @t785 () (or @t369 (not (or @t779 @t777)))) % 7.71/7.96 (define @t786 () (not @t780)) % 7.71/7.96 (define @t787 () (not @t785)) % 7.71/7.96 (define @t788 () (not (or @t787 @t786))) % 7.71/7.96 (define @t789 () (or @t182 @t788)) % 7.71/7.96 (define @t790 () (not (_ @t74 @t18))) % 7.71/7.96 (define @t791 () (not (_ @t75 @t18))) % 7.71/7.96 (define @t792 () (or @t378 @t791 @t790)) % 7.71/7.96 (define @t793 () (or @t791 @t790)) % 7.71/7.96 (define @t794 () (not @t793)) % 7.71/7.96 (define @t795 () (not (or (not (or @t382 @t794)) (not @t792)))) % 7.71/7.96 (define @t796 () (lambda @t67 @t795)) % 7.71/7.96 (define @t797 () (_ @t796 @t2 @t7)) % 7.71/7.96 (define @t798 () (or @t182 @t797)) % 7.71/7.96 (define @t799 () (forall @t5 @t798)) % 7.71/7.96 (define @t800 () (lambda @t109 @t799)) % 7.71/7.96 (define @t801 () (lambda @t342 @t794)) % 7.71/7.96 (define @t802 () (_ @t801 @t18)) % 7.71/7.96 (define @t803 () (not @t802)) % 7.71/7.96 (define @t804 () (or @t803 @t378)) % 7.71/7.96 (define @t805 () (not @t804)) % 7.71/7.96 (define @t806 () (or @t382 @t802)) % 7.71/7.96 (define @t807 () (not @t806)) % 7.71/7.96 (define @t808 () (or @t807 @t805)) % 7.71/7.96 (define @t809 () (not @t808)) % 7.71/7.96 (define @t810 () (lambda @t342 @t809)) % 7.71/7.96 (define @t811 () (lambda @t359 (not (or @t791 @t358)))) % 7.71/7.96 (define @t812 () (_ @t438 @t75)) % 7.71/7.96 (define @t813 () (lambda @t67 (_ (_ @t412 (_ @t812 @t74)) @t18))) % 7.71/7.96 (define @t814 () (_ @t411 @t77)) % 7.71/7.96 (define @t815 () (lambda @t36 (_ (_ @t814 (_ @t241 @t813)) @t18))) % 7.71/7.96 (define @t816 () (lambda @t37 (_ (_ @t241 @t815) @t18))) % 7.71/7.96 (define @t817 () (tptp.set_intersection2 @t469 @t543)) % 7.71/7.96 (define @t818 () (tptp.set_intersection2 @t10 @t9)) % 7.71/7.96 (define @t819 () (tptp.exists_in_world @t818 @t1)) % 7.71/7.96 (define @t820 () (@list @t470 @t469 @t543)) % 7.71/7.96 (define @t821 () (tptp.qmltpeq @t817 @t817 @t470)) % 7.71/7.96 (define @t822 () (tptp.in @t594 @t543 @t470)) % 7.71/7.96 (define @t823 () (tptp.in @t594 @t469 @t470)) % 7.71/7.96 (define @t824 () (tptp.in @t594 @t817 @t470)) % 7.71/7.96 (define @t825 () (tptp.in @t467 @t817 @t470)) % 7.71/7.96 (define @t826 () (or @t825 @t566 @t545)) % 7.71/7.96 (define @t827 () (not @t825)) % 7.71/7.96 (define @t828 () (and (or @t827 (and @t560 @t544)) @t826)) % 7.71/7.96 (define @t829 () (not @t821)) % 7.71/7.96 (define @t830 () (or @t829 @t552 @t828)) % 7.71/7.96 (define @t831 () (and @t830 (or (not (forall @t600 (or (not (tptp.exists_in_world @t594 @t470)) (and (or (not @t824) (and @t823 @t822)) (or @t824 (not @t823) (not @t822)))))) @t821))) % 7.71/7.96 (define @t832 () (tptp.exists_in_world @t817 @t470)) % 7.71/7.96 (define @t833 () (not @t832)) % 7.71/7.96 (define @t834 () (or @t572 @t549 @t833 @t831)) % 7.71/7.96 (define @t835 () (or @t833 @t821)) % 7.71/7.96 (define @t836 () (@list false false false)) % 7.71/7.96 (define @t837 () (tptp.qmltpeq @t2 tptp.empty_set @t7)) % 7.71/7.96 (define @t838 () (@var "BOUND_VARIABLE_10868" tptp.mu)) % 7.71/7.96 (define @t839 () (@list @t838)) % 7.71/7.96 (define @t840 () (forall @t839 (or (not (tptp.exists_in_world @t838 @t7)) (not (tptp.in @t838 @t2 @t7))))) % 7.71/7.96 (define @t841 () (not @t840)) % 7.71/7.96 (define @t842 () (or @t841 @t837)) % 7.71/7.96 (define @t843 () (@var "BOUND_VARIABLE_10914" tptp.mu)) % 7.71/7.96 (define @t844 () (not (tptp.in @t843 @t2 @t7))) % 7.71/7.96 (define @t845 () (not (tptp.exists_in_world @t843 @t7))) % 7.71/7.96 (define @t846 () (not @t837)) % 7.71/7.96 (define @t847 () (or @t846 @t845 @t844)) % 7.71/7.96 (define @t848 () (or @t182 (and @t847 @t842))) % 7.71/7.96 (define @t849 () (@list @t2 @t843)) % 7.71/7.96 (define @t850 () (forall @t849 @t848)) % 7.71/7.96 (define @t851 () (lambda @t109 @t850)) % 7.71/7.96 (define @t852 () (_ @t851 @t7)) % 7.71/7.96 (define @t853 () (forall @t109 @t852)) % 7.71/7.96 (define @t854 () (or @t845 @t844)) % 7.71/7.96 (define @t855 () (or @t846 @t854)) % 7.71/7.96 (define @t856 () (and @t855 @t842)) % 7.71/7.96 (define @t857 () (or @t182 @t856)) % 7.71/7.96 (define @t858 () (forall @t849 @t857)) % 7.71/7.96 (define @t859 () (@list @t843)) % 7.71/7.96 (define @t860 () (forall @t859 @t857)) % 7.71/7.96 (define @t861 () (forall @t859 @t842)) % 7.71/7.96 (define @t862 () (forall @t859 @t854)) % 7.71/7.96 (define @t863 () (@list @t838)) % 7.71/7.96 (define @t864 () (or @t846 @t862)) % 7.71/7.96 (define @t865 () (forall @t859 @t855)) % 7.71/7.96 (define @t866 () (and @t865 @t861)) % 7.71/7.96 (define @t867 () (forall @t859 @t856)) % 7.71/7.96 (define @t868 () (or @t182 @t867)) % 7.71/7.96 (define @t869 () (_ (_ @t19 tptp.empty_set) @t7)) % 7.71/7.96 (define @t870 () (or @t841 @t869)) % 7.71/7.96 (define @t871 () (not @t869)) % 7.71/7.96 (define @t872 () (or @t871 @t840)) % 7.71/7.96 (define @t873 () (and @t872 @t870)) % 7.71/7.96 (define @t874 () (or @t182 @t873)) % 7.71/7.96 (define @t875 () (not @t870)) % 7.71/7.96 (define @t876 () (not @t872)) % 7.71/7.96 (define @t877 () (not (or @t876 @t875))) % 7.71/7.96 (define @t878 () (or @t182 @t877)) % 7.71/7.96 (define @t879 () (_ @t58 @t18)) % 7.71/7.96 (define @t880 () (forall @t839 (or (not (tptp.exists_in_world @t838 @t18)) (not (tptp.in @t838 @t31 @t18))))) % 7.71/7.96 (define @t881 () (not @t879)) % 7.71/7.96 (define @t882 () (forall @t5 (or @t232 @t749))) % 7.71/7.96 (define @t883 () (not @t882)) % 7.71/7.96 (define @t884 () (or @t883 @t879)) % 7.71/7.96 (define @t885 () (not @t884)) % 7.71/7.96 (define @t886 () (or @t881 @t882)) % 7.71/7.96 (define @t887 () (not @t886)) % 7.71/7.96 (define @t888 () (or @t887 @t885)) % 7.71/7.96 (define @t889 () (not @t888)) % 7.71/7.96 (define @t890 () (lambda @t38 @t889)) % 7.71/7.96 (define @t891 () (or @t182 (_ @t890 @t2 @t7))) % 7.71/7.96 (define @t892 () (forall @t5 @t891)) % 7.71/7.96 (define @t893 () (lambda @t109 @t892)) % 7.71/7.96 (define @t894 () (lambda @t109 (forall @t5 (or @t182 @t764)))) % 7.71/7.96 (define @t895 () (_ @t894 @t18)) % 7.71/7.96 (define @t896 () (not @t895)) % 7.71/7.96 (define @t897 () (or @t896 @t879)) % 7.71/7.96 (define @t898 () (not @t897)) % 7.71/7.96 (define @t899 () (or @t881 @t895)) % 7.71/7.96 (define @t900 () (not @t899)) % 7.71/7.96 (define @t901 () (or @t900 @t898)) % 7.71/7.96 (define @t902 () (not @t901)) % 7.71/7.96 (define @t903 () (lambda @t342 @t902)) % 7.71/7.96 (define @t904 () (lambda @t359 (not (or (not (or @t881 @t357)) (not (or @t358 @t879)))))) % 7.71/7.96 (define @t905 () (or @t182 @t779)) % 7.71/7.96 (define @t906 () (not (_ @t52 @t18))) % 7.71/7.96 (define @t907 () (lambda @t37 @t906)) % 7.71/7.96 (define @t908 () (_ @t907 @t2 @t7)) % 7.71/7.96 (define @t909 () (or @t182 @t908)) % 7.71/7.96 (define @t910 () (forall @t5 @t909)) % 7.71/7.96 (define @t911 () (lambda @t109 @t910)) % 7.71/7.96 (define @t912 () (lambda @t109 (not (_ @t52 @t7)))) % 7.71/7.96 (define @t913 () (_ @t98 @t52)) % 7.71/7.96 (define @t914 () (lambda @t37 (_ @t913 @t18))) % 7.71/7.96 (define @t915 () (_ @t411 @t58)) % 7.71/7.96 (define @t916 () (tptp.qmltpeq @t817 tptp.empty_set @t470)) % 7.71/7.96 (define @t917 () (not @t916)) % 7.71/7.96 (define @t918 () (or @t917 @t552 @t827)) % 7.71/7.96 (define @t919 () (and @t918 (or (not (forall @t839 (or (not (tptp.exists_in_world @t838 @t470)) (not (tptp.in @t838 @t817 @t470))))) @t916))) % 7.71/7.96 (define @t920 () (or @t833 @t919)) % 7.71/7.96 (define @t921 () (@var "BOUND_VARIABLE_12050" tptp.mu)) % 7.71/7.96 (define @t922 () (tptp.disjoint @t2 @t921 @t7)) % 7.71/7.96 (define @t923 () (tptp.qmltpeq (tptp.set_intersection2 @t2 @t921) tptp.empty_set @t7)) % 7.71/7.96 (define @t924 () (and (or (not @t922) @t923) (or (not @t923) @t922))) % 7.71/7.96 (define @t925 () (not (tptp.exists_in_world @t921 @t7))) % 7.71/7.96 (define @t926 () (or @t182 @t925 @t924)) % 7.71/7.96 (define @t927 () (@list @t2 @t921)) % 7.71/7.96 (define @t928 () (forall @t927 @t926)) % 7.71/7.96 (define @t929 () (lambda @t109 @t928)) % 7.71/7.96 (define @t930 () (_ @t929 @t7)) % 7.71/7.96 (define @t931 () (forall @t109 @t930)) % 7.71/7.96 (define @t932 () (or @t925 @t924)) % 7.71/7.96 (define @t933 () (or @t182 @t932)) % 7.71/7.96 (define @t934 () (forall @t927 @t933)) % 7.71/7.96 (define @t935 () (@list @t921)) % 7.71/7.96 (define @t936 () (forall @t935 @t933)) % 7.71/7.96 (define @t937 () (forall @t935 @t932)) % 7.71/7.96 (define @t938 () (@var "BOUND_VARIABLE_12019" tptp.mu)) % 7.71/7.96 (define @t939 () (@list @t938)) % 7.71/7.96 (define @t940 () (or @t182 @t937)) % 7.71/7.96 (define @t941 () (tptp.disjoint @t2 @t938 @t7)) % 7.71/7.96 (define @t942 () (tptp.qmltpeq (tptp.set_intersection2 @t2 @t938) tptp.empty_set @t7)) % 7.71/7.96 (define @t943 () (@list @t938)) % 7.71/7.96 (define @t944 () (forall @t943 (or (not (tptp.exists_in_world @t938 @t7)) (and (or (not @t941) @t942) (or (not @t942) @t941))))) % 7.71/7.96 (define @t945 () (tptp.disjoint @t31 @t938 @t18)) % 7.71/7.96 (define @t946 () (tptp.qmltpeq (tptp.set_intersection2 @t31 @t938) tptp.empty_set @t18)) % 7.71/7.96 (define @t947 () (tptp.disjoint @t31 @t2 @t18)) % 7.71/7.96 (define @t948 () (tptp.qmltpeq @t651 tptp.empty_set @t18)) % 7.71/7.96 (define @t949 () (forall @t5 (or @t232 (and (or (not @t947) @t948) (or (not @t948) @t947))))) % 7.71/7.96 (define @t950 () (lambda @t38 @t949)) % 7.71/7.96 (define @t951 () (or @t182 (_ @t950 @t2 @t7))) % 7.71/7.96 (define @t952 () (forall @t5 @t951)) % 7.71/7.96 (define @t953 () (lambda @t109 @t952)) % 7.71/7.96 (define @t954 () (tptp.disjoint @t31 @t2 @t7)) % 7.71/7.96 (define @t955 () (tptp.qmltpeq @t651 tptp.empty_set @t7)) % 7.71/7.96 (define @t956 () (_ (_ @t44 @t2) @t7)) % 7.71/7.96 (define @t957 () (_ @t32 @t2)) % 7.71/7.96 (define @t958 () (_ (_ (_ tptp.qmltpeq @t957) tptp.empty_set) @t7)) % 7.71/7.96 (define @t959 () (not @t958)) % 7.71/7.96 (define @t960 () (or @t959 @t956)) % 7.71/7.96 (define @t961 () (not @t956)) % 7.71/7.96 (define @t962 () (or @t961 @t958)) % 7.71/7.96 (define @t963 () (and @t962 @t960)) % 7.71/7.96 (define @t964 () (or @t182 @t963)) % 7.71/7.96 (define @t965 () (not @t960)) % 7.71/7.96 (define @t966 () (not @t962)) % 7.71/7.96 (define @t967 () (not (or @t966 @t965))) % 7.71/7.96 (define @t968 () (or @t182 @t967)) % 7.71/7.96 (define @t969 () (_ @t82 @t18)) % 7.71/7.96 (define @t970 () (_ @t81 @t18)) % 7.71/7.96 (define @t971 () (not @t969)) % 7.71/7.96 (define @t972 () (not (or (not (or @t971 @t970)) (not (or (not @t970) @t969))))) % 7.71/7.96 (define @t973 () (lambda @t37 @t972)) % 7.71/7.96 (define @t974 () (_ @t973 @t2 @t7)) % 7.71/7.96 (define @t975 () (or @t182 @t974)) % 7.71/7.96 (define @t976 () (forall @t5 @t975)) % 7.71/7.96 (define @t977 () (lambda @t109 @t976)) % 7.71/7.96 (define @t978 () (lambda @t342 @t972)) % 7.71/7.96 (define @t979 () (lambda @t359 (not (or (not (or @t971 @t357)) (not (or @t358 @t969)))))) % 7.71/7.96 (define @t980 () (_ @t411 @t82)) % 7.71/7.96 (define @t981 () (lambda @t37 (_ (_ @t980 @t81) @t18))) % 7.71/7.96 (define @t982 () (or @t547 @t916)) % 7.71/7.96 (define @t983 () (and @t982 (or @t917 @t546))) % 7.71/7.96 (define @t984 () (or @t572 @t549 @t983)) % 7.71/7.96 (define @t985 () (not @t565)) % 7.71/7.96 (define @t986 () (not @t567)) % 7.71/7.96 (define @t987 () (or @t572 @t556)) % 7.71/7.96 (define @t988 () (not @t569)) % 7.71/7.96 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 7.71/7.96 (assume @p2 (forall @t6 (exists @t5 @t4))) % 7.71/7.96 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 7.71/7.96 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 7.71/7.96 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 7.71/7.96 (assume @p6 (forall @t6 (_ (_ tptp.exists_in_world tptp.empty_set) @t1))) % 7.71/7.96 (assume @p7 @t14) % 7.71/7.96 (assume @p8 @t17) % 7.71/7.96 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t22))) % 7.71/7.96 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t21 (_ (_ tptp.mforall_ind (lambda @t26 (_ (_ (_ tptp.mimplies @t25) (_ @t24 @t2)) @t18))) @t18))))) % 7.71/7.96 (assume @p11 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t21 (_ (_ tptp.mforall_ind (lambda @t26 (_ (_ tptp.mforall_ind (lambda (@list @t27 @t18) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t25) (_ @t24 @t27))) (_ @t19 @t27)) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p12 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ @t35 (_ (_ tptp.qmltpeq (_ @t32 @t28)) (_ @t30 @t28))) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p13 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ @t35 (_ (_ tptp.qmltpeq (_ @t39 @t31)) (_ @t39 @t29))) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ @t35 (_ (_ tptp.qmltpeq (_ @t41 @t28)) (_ @t40 @t28))) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ @t35 (_ (_ tptp.qmltpeq (_ @t42 @t31)) (_ @t42 @t29))) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ (_ tptp.mimplies (_ @t45 (_ @t44 @t28))) (_ @t43 @t28)) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ (_ tptp.mimplies (_ @t45 (_ @t46 @t31))) (_ @t46 @t29)) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ (_ tptp.mimplies (_ @t45 @t47)) (_ tptp.empty @t29)) @t18))) @t18))))) % 7.71/7.96 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ (_ tptp.mimplies (_ @t45 @t50)) (_ @t48 @t28)) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p20 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mforall_ind (lambda @t36 (_ (_ (_ tptp.mimplies (_ @t45 (_ @t51 @t31))) (_ @t51 @t29)) @t18))) @t18))) @t18))))) % 7.71/7.96 (assume @p21 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ (_ tptp.mimplies (_ @t49 @t29)) @t53) @t18))) @t18))))) % 7.71/7.96 (assume @p22 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ (_ tptp.qmltpeq @t54) (_ @t40 @t31)) @t18))) @t18))))) % 7.71/7.96 (assume @p23 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ @t56 (_ @t30 @t31)) @t18))) @t18))))) % 7.71/7.96 (assume @p24 (_ tptp.mvalid (_ tptp.mforall_ind @t59))) % 7.71/7.96 (assume @p25 (_ tptp.mvalid (_ tptp.mforall_ind @t73))) % 7.71/7.96 (assume @p26 (_ tptp.mvalid (_ tptp.mforall_ind @t80))) % 7.71/7.96 (assume @p27 (_ tptp.mvalid (_ tptp.mforall_ind @t84))) % 7.71/7.96 (assume @p28 (_ tptp.mvalid (_ tptp.empty tptp.empty_set))) % 7.71/7.96 (assume @p29 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ (_ tptp.qmltpeq (_ @t32 @t31)) @t31) @t18))) @t18))))) % 7.71/7.96 (assume @p30 (_ tptp.mvalid (_ tptp.mexists_ind (lambda @t38 (_ @t47 @t18))))) % 7.71/7.96 (assume @p31 (_ tptp.mvalid (_ tptp.mexists_ind (lambda @t38 (_ (_ tptp.mnot @t47) @t18))))) % 7.71/7.96 (assume @p32 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t38 (_ (_ tptp.mforall_ind (lambda @t37 (_ (_ (_ tptp.mimplies @t82) (_ @t43 @t31)) @t18))) @t18))))) % 7.71/7.96 (assume @p33 @t90) % 7.71/7.96 (assume @p34 true) % 7.71/7.96 (step @p35 (= tptp.meq_prop @t93) :rule refl :args (@t93)) % 7.71/7.96 (step @p36 (= tptp.mnot @t98) :rule refl :args (@t98)) % 7.71/7.96 (step @p37 (= tptp.mor @t101) :rule refl :args (@t101)) % 7.71/7.96 (step @p38 (= tptp.mbox @t104) :rule refl :args (@t104)) % 7.71/7.96 (step @p39 (= tptp.mforall_prop @t108) :rule refl :args (@t108)) % 7.71/7.96 (step @p40 (= tptp.mtrue @t110) :rule refl :args (@t110)) % 7.71/7.96 (step @p41 (= tptp.mand @t115) :rule refl :args (@t115)) % 7.71/7.96 (step @p42 (= tptp.mimplies @t116) :rule refl :args (@t116)) % 7.71/7.96 (step @p43 (= tptp.mimplied @t117) :rule refl :args (@t117)) % 7.71/7.96 (step @p44 (= tptp.mequiv @t118) :rule refl :args (@t118)) % 7.71/7.96 (step @p45 (= tptp.mxor @t119) :rule refl :args (@t119)) % 7.71/7.96 (step @p46 (= tptp.mdia @t120) :rule refl :args (@t120)) % 7.71/7.96 (step @p47 (= tptp.mforall_ind @t126) :rule refl :args (@t126)) % 7.71/7.96 (step @p48 (= tptp.mexists_ind @t127) :rule refl :args (@t127)) % 7.71/7.96 (step @p49 (= tptp.mexists_prop @t128) :rule refl :args (@t128)) % 7.71/7.96 (step @p50 (= tptp.mreflexive @t133) :rule refl :args (@t133)) % 7.71/7.96 (step @p51 (= tptp.msymmetric @t137) :rule refl :args (@t137)) % 7.71/7.96 (step @p52 (= tptp.mserial @t139) :rule refl :args (@t139)) % 7.71/7.96 (step @p53 (= tptp.mtransitive @t144) :rule refl :args (@t144)) % 7.71/7.96 (step @p54 (= tptp.meuclidean @t146) :rule refl :args (@t146)) % 7.71/7.96 (step @p55 (= tptp.mpartially_functional @t148) :rule refl :args (@t148)) % 7.71/7.96 (step @p56 (= tptp.mfunctional @t150) :rule refl :args (@t150)) % 7.71/7.96 (step @p57 (= tptp.mweakly_dense @t153) :rule refl :args (@t153)) % 7.71/7.96 (step @p58 (= tptp.mweakly_connected @t154) :rule refl :args (@t154)) % 7.71/7.96 (step @p59 (= tptp.mweakly_directed @t155) :rule refl :args (@t155)) % 7.71/7.96 (step @p60 (= tptp.mvalid @t158) :rule refl :args (@t158)) % 7.71/7.96 (step @p61 (= tptp.msatisfiable @t159) :rule refl :args (@t159)) % 7.71/7.96 (step @p62 (= tptp.mcountersatisfiable @t160) :rule refl :args (@t160)) % 7.71/7.96 (step @p63 (= tptp.minvalid @t161) :rule refl :args (@t161)) % 7.71/7.96 (step @p64 (= tptp.mbox_s4 @t162) :rule refl :args (@t162)) % 7.71/7.96 (step @p65 (= tptp.mdia_s4 @t163) :rule refl :args (@t163)) % 7.71/7.96 (step @p66 :rule quant-merge-prenex :args ((= (forall @t109 @t185) (forall (@list @t7 @t2 @t164 @t165 @t174) @t183)))) % 7.71/7.96 (step @p67 :rule beta-reduce :args ((= @t187 @t185))) % 7.71/7.96 (step @p68 :rule cong :premises (@p67) :args (@t188)) % 7.71/7.96 (step @p69 :rule trans :premises (@p68 @p66)) % 7.71/7.96 (step @p70 :rule beta-reduce :args ((= (_ @t190 @t186) @t188))) % 7.71/7.96 (step @p71 :rule trans :premises (@p70 @p69)) % 7.71/7.96 (step @p72 :rule aci_norm :args ((= @t192 @t183))) % 7.71/7.96 (step @p73 :rule cong :premises (@p72) :args (@t193)) % 7.71/7.96 (step @p74 :rule quant-merge-prenex :args ((= (forall @t5 @t195) @t193))) % 7.71/7.96 (step @p75 :rule alpha_equiv :args (@t196 (@list @t164 @t165 @t174) (@list @t199 @t198 @t197))) % 7.71/7.96 (step @p76 :rule refl :args (@t182)) % 7.71/7.96 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t200)) % 7.71/7.96 (step @p78 :rule quant-miniscope-or :args ((= @t195 @t200))) % 7.71/7.96 (step @p79 :rule trans :premises (@p78 @p77)) % 7.71/7.96 (step @p80 :rule symm :premises (@p79)) % 7.71/7.96 (step @p81 :rule cong :premises (@p80) :args ((forall @t5 (or @t182 @t213)))) % 7.71/7.96 (step @p82 :rule trans :premises (@p81 @p74)) % 7.71/7.96 (step @p83 :rule trans :premises (@p82 @p73)) % 7.71/7.96 (step @p84 :rule beta-reduce :args ((= (_ (lambda @t38 (forall @t212 (or (not (tptp.exists_in_world @t199 @t18)) @t227 (and (or (not @t214) @t226 (and (or @t225 @t223 @t222) (or (and @t224 (not @t222)) @t221))) (or (not (forall @t173 (or @t220 (and (or @t219 @t217 @t216) (or (and @t218 (not @t216)) @t215))))) @t214))))) @t2 @t7) @t213))) % 7.71/7.96 (step @p85 :rule refl :args (@t7)) % 7.71/7.96 (step @p86 :rule refl :args (@t2)) % 7.71/7.96 (step @p87 :rule alpha_equiv :args (@t234 @t235 (@list @t199))) % 7.71/7.96 (step @p88 :rule cong :premises (@p87) :args (@t236)) % 7.71/7.96 (step @p89 :rule ho_cong :premises (@p88 @p86 @p85)) % 7.71/7.96 (step @p90 :rule trans :premises (@p89 @p84)) % 7.71/7.96 (step @p91 :rule refl :args (@t182)) % 7.71/7.96 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t237)) % 7.71/7.96 (step @p93 :rule cong :premises (@p92) :args (@t238)) % 7.71/7.96 (step @p94 :rule trans :premises (@p93 @p83)) % 7.71/7.96 (step @p95 :rule cong :premises (@p94) :args (@t239)) % 7.71/7.96 (step @p96 :rule beta-reduce :args ((= (_ @t241 @t236) @t239))) % 7.71/7.96 (step @p97 :rule trans :premises (@p96 @p95)) % 7.71/7.96 (step @p98 :rule beta-reduce :args ((= (_ (lambda @t109 (forall @t233 @t248)) @t18) @t234))) % 7.71/7.96 (step @p99 :rule refl :args (@t18)) % 7.71/7.96 (step @p100 :rule aci_norm :args ((= @t250 @t248))) % 7.71/7.96 (step @p101 :rule cong :premises (@p100) :args (@t251)) % 7.71/7.96 (step @p102 :rule quant-merge-prenex :args ((= (forall @t5 @t253) @t251))) % 7.71/7.96 (step @p103 :rule alpha_equiv :args (@t254 (@list @t198 @t197) (@list @t256 @t255))) % 7.71/7.96 (step @p104 :rule nary_cong :premises (@p76 @p103) :args (@t257)) % 7.71/7.96 (step @p105 :rule quant-miniscope-or :args ((= @t253 @t257))) % 7.71/7.96 (step @p106 :rule trans :premises (@p105 @p104)) % 7.71/7.96 (step @p107 :rule symm :premises (@p106)) % 7.71/7.96 (step @p108 :rule cong :premises (@p107) :args ((forall @t5 (or @t182 @t266)))) % 7.71/7.96 (step @p109 :rule trans :premises (@p108 @p102)) % 7.71/7.96 (step @p110 :rule trans :premises (@p109 @p101)) % 7.71/7.96 (step @p111 :rule beta-reduce :args ((= (_ (lambda @t37 (forall @t265 (or (not (tptp.exists_in_world @t256 @t18)) (and (or (not @t268) @t276 (and (or (not @t272) @t274 @t273) (or @t275 @t272))) (or (not (forall @t173 (or @t220 (and (or (not @t269) @t217 @t270) (or @t271 @t269))))) @t268))))) @t2 @t7) @t266))) % 7.71/7.96 (step @p112 :rule alpha_equiv :args (@t281 @t235 (@list @t256))) % 7.71/7.96 (step @p113 :rule cong :premises (@p112) :args (@t282)) % 7.71/7.96 (step @p114 :rule ho_cong :premises (@p113 @p86 @p85)) % 7.71/7.96 (step @p115 :rule trans :premises (@p114 @p111)) % 7.71/7.96 (step @p116 :rule nary_cong :premises (@p91 @p115) :args (@t283)) % 7.71/7.96 (step @p117 :rule cong :premises (@p116) :args (@t284)) % 7.71/7.96 (step @p118 :rule trans :premises (@p117 @p110)) % 7.71/7.96 (step @p119 :rule cong :premises (@p118) :args (@t285)) % 7.71/7.96 (step @p120 :rule beta-reduce :args ((= (_ @t241 @t282) @t285))) % 7.71/7.96 (step @p121 :rule trans :premises (@p120 @p119)) % 7.71/7.96 (step @p122 :rule beta-reduce :args ((= (_ (lambda @t109 (forall @t280 (or @t182 (and @t296 @t291)))) @t18) @t281))) % 7.71/7.96 (step @p123 :rule refl :args (@t291)) % 7.71/7.96 (step @p124 :rule aci_norm :args ((= @t298 @t296))) % 7.71/7.96 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t299)) % 7.71/7.96 (step @p126 :rule nary_cong :premises (@p91 @p125) :args (@t300)) % 7.71/7.96 (step @p127 :rule cong :premises (@p126) :args (@t301)) % 7.71/7.96 (step @p128 :rule quant-merge-prenex :args ((= (forall @t5 @t303) @t301))) % 7.71/7.96 (step @p129 :rule quant-unused-vars :args ((= @t304 @t291))) % 7.71/7.96 (step @p130 :rule alpha_equiv :args (@t305 (@list @t255) @t306)) % 7.71/7.96 (step @p131 :rule refl :args (@t295)) % 7.71/7.96 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t307)) % 7.71/7.96 (step @p133 :rule quant-miniscope-or :args ((= @t308 @t307))) % 7.71/7.96 (step @p134 :rule trans :premises (@p133 @p132)) % 7.71/7.96 (step @p135 :rule nary_cong :premises (@p134 @p129) :args (@t309)) % 7.71/7.96 (step @p136 :rule quant-miniscope-and :args ((= @t310 @t309))) % 7.71/7.96 (step @p137 :rule trans :premises (@p136 @p135)) % 7.71/7.96 (step @p138 :rule nary_cong :premises (@p76 @p137) :args (@t311)) % 7.71/7.96 (step @p139 :rule quant-miniscope-or :args ((= @t303 @t311))) % 7.71/7.96 (step @p140 :rule trans :premises (@p139 @p138)) % 7.71/7.96 (step @p141 :rule symm :premises (@p140)) % 7.71/7.96 (step @p142 :rule cong :premises (@p141) :args ((forall @t5 (or @t182 (and (or @t295 @t289) @t291))))) % 7.71/7.96 (step @p143 :rule trans :premises (@p142 @p128)) % 7.71/7.96 (step @p144 :rule trans :premises (@p143 @p127)) % 7.71/7.96 (step @p145 :rule refl :args ((tptp.qmltpeq @t2 @t54 @t7))) % 7.71/7.96 (step @p146 :rule refl :args (@t267)) % 7.71/7.96 (step @p147 :rule cong :premises (@p86 @p146 @p85) :args (@t286)) % 7.71/7.96 (step @p148 :rule trans :premises (@p147 @p145)) % 7.71/7.96 (step @p149 :rule refl :args (@t19)) % 7.71/7.96 (step @p150 :rule ho_cong :premises (@p149 @p146)) % 7.71/7.96 (step @p151 :rule ho_cong :premises (@p150 @p85)) % 7.71/7.96 (step @p152 :rule cong :premises (@p151 @p148) :args ((= (_ (_ @t19 @t267) @t7) @t286))) % 7.71/7.96 (step @p153 :rule symm :premises (@p152)) % 7.71/7.96 (step @p154 :rule refl :args (@t312)) % 7.71/7.96 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 7.71/7.96 (step @p156 :rule refl :args (@t54)) % 7.71/7.96 (step @p157 :rule cong :premises (@p156 @p146) :args ((= @t54 @t267))) % 7.71/7.96 (step @p158 :rule symm :premises (@p157)) % 7.71/7.96 (step @p159 :rule eq_resolve :premises (@p156 @p158)) % 7.71/7.96 (step @p160 :rule ho_cong :premises (@p149 @p159)) % 7.71/7.96 (step @p161 :rule ho_cong :premises (@p160 @p85)) % 7.71/7.96 (step @p162 :rule trans :premises (@p161 @p155)) % 7.71/7.96 (step @p163 :rule refl :args (@t290)) % 7.71/7.96 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t313)) % 7.71/7.96 (step @p165 :rule refl :args (@t289)) % 7.71/7.96 (step @p166 :rule cong :premises (@p162) :args (@t314)) % 7.71/7.96 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t315)) % 7.71/7.96 (step @p168 :rule nary_cong :premises (@p167 @p164) :args (@t316)) % 7.71/7.96 (step @p169 :rule nary_cong :premises (@p76 @p168) :args (@t317)) % 7.71/7.96 (step @p170 :rule cong :premises (@p169) :args ((forall @t5 @t317))) % 7.71/7.96 (step @p171 :rule trans :premises (@p170 @p144)) % 7.71/7.96 (step @p172 :rule bool-double-not-elim :args (@t313)) % 7.71/7.96 (step @p173 :rule bool-double-not-elim :args (@t315)) % 7.71/7.96 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((and (not @t319) (not @t318)))) % 7.71/7.96 (step @p175 :rule bool-or-de-morgan :args (@t319 @t318 false)) % 7.71/7.96 (step @p176 :rule trans :premises (@p175 @p174)) % 7.71/7.96 (step @p177 :rule nary_cong :premises (@p76 @p176) :args (@t321)) % 7.71/7.96 (step @p178 :rule cong :premises (@p177) :args ((forall @t5 @t321))) % 7.71/7.96 (step @p179 :rule trans :premises (@p178 @p171)) % 7.71/7.96 (step @p180 :rule beta-reduce :args ((= (_ (lambda @t36 (not (or (not (or @t325 @t324)) (not (or (not @t324) @t322))))) @t2 @t7) @t320))) % 7.71/7.96 (step @p181 :rule refl :args (@t322)) % 7.71/7.96 (step @p182 :rule alpha_equiv :args (@t330 @t235 @t306)) % 7.71/7.96 (step @p183 :rule cong :premises (@p182) :args (@t331)) % 7.71/7.96 (step @p184 :rule nary_cong :premises (@p183 @p181) :args (@t332)) % 7.71/7.96 (step @p185 :rule cong :premises (@p184) :args (@t333)) % 7.71/7.96 (step @p186 :rule refl :args (@t325)) % 7.71/7.96 (step @p187 :rule nary_cong :premises (@p186 @p182) :args (@t334)) % 7.71/7.96 (step @p188 :rule cong :premises (@p187) :args (@t335)) % 7.71/7.96 (step @p189 :rule nary_cong :premises (@p188 @p185) :args (@t336)) % 7.71/7.96 (step @p190 :rule cong :premises (@p189) :args (@t337)) % 7.71/7.96 (step @p191 :rule cong :premises (@p190) :args (@t338)) % 7.71/7.96 (step @p192 :rule ho_cong :premises (@p191 @p86 @p85)) % 7.71/7.96 (step @p193 :rule trans :premises (@p192 @p180)) % 7.71/7.96 (step @p194 :rule nary_cong :premises (@p91 @p193) :args (@t339)) % 7.71/7.96 (step @p195 :rule cong :premises (@p194) :args (@t340)) % 7.71/7.96 (step @p196 :rule trans :premises (@p195 @p179)) % 7.71/7.96 (step @p197 :rule cong :premises (@p196) :args (@t341)) % 7.71/7.96 (step @p198 :rule beta-reduce :args ((= (_ @t241 @t338) @t341))) % 7.71/7.96 (step @p199 :rule trans :premises (@p198 @p197)) % 7.71/7.96 (step @p200 :rule beta-reduce :args ((= (_ (lambda @t342 @t337) @t18) @t337))) % 7.71/7.96 (step @p201 :rule refl :args (@t322)) % 7.71/7.96 (step @p202 :rule beta-reduce :args ((= @t348 @t330))) % 7.71/7.96 (step @p203 :rule cong :premises (@p202) :args (@t349)) % 7.71/7.96 (step @p204 :rule nary_cong :premises (@p203 @p201) :args (@t350)) % 7.71/7.96 (step @p205 :rule cong :premises (@p204) :args (@t351)) % 7.71/7.96 (step @p206 :rule refl :args (@t325)) % 7.71/7.96 (step @p207 :rule nary_cong :premises (@p206 @p202) :args (@t352)) % 7.71/7.96 (step @p208 :rule cong :premises (@p207) :args (@t353)) % 7.71/7.96 (step @p209 :rule nary_cong :premises (@p208 @p205) :args (@t354)) % 7.71/7.96 (step @p210 :rule cong :premises (@p209) :args (@t355)) % 7.71/7.96 (step @p211 :rule cong :premises (@p210) :args (@t356)) % 7.71/7.96 (step @p212 :rule beta-reduce :args ((= (_ @t360 @t347) @t356))) % 7.71/7.96 (step @p213 :rule trans :premises (@p212 @p211)) % 7.71/7.96 (step @p214 :rule refl :args (@t343)) % 7.71/7.96 (step @p215 :rule refl :args (@t362)) % 7.71/7.96 (step @p216 :rule cong :premises (@p215 @p214) :args ((= @t362 @t343))) % 7.71/7.96 (step @p217 :rule symm :premises (@p216)) % 7.71/7.96 (step @p218 :rule eq_resolve :premises (@p215 @p217)) % 7.71/7.96 (step @p219 :rule refl :args (@t344)) % 7.71/7.96 (step @p220 :rule refl :args (@t363)) % 7.71/7.96 (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t363 @t344))) % 7.71/7.96 (step @p222 :rule symm :premises (@p221)) % 7.71/7.96 (step @p223 :rule eq_resolve :premises (@p220 @p222)) % 7.71/7.96 (step @p224 :rule cong :premises (@p223) :args (@t364)) % 7.71/7.96 (step @p225 :rule refl :args (@t345)) % 7.71/7.96 (step @p226 :rule refl :args (@t365)) % 7.71/7.96 (step @p227 :rule cong :premises (@p226 @p225) :args ((= @t365 @t345))) % 7.71/7.96 (step @p228 :rule symm :premises (@p227)) % 7.71/7.96 (step @p229 :rule eq_resolve :premises (@p226 @p228)) % 7.71/7.96 (step @p230 :rule cong :premises (@p229) :args (@t366)) % 7.71/7.96 (step @p231 :rule nary_cong :premises (@p230 @p224) :args (@t367)) % 7.71/7.96 (step @p232 :rule nary_cong :premises (@p231 @p218) :args (@t368)) % 7.71/7.96 (step @p233 :rule cong :premises (@p218) :args (@t369)) % 7.71/7.96 (step @p234 :rule nary_cong :premises (@p233 @p229 @p223) :args (@t370)) % 7.71/7.96 (step @p235 :rule nary_cong :premises (@p234 @p232) :args (@t371)) % 7.71/7.96 (step @p236 :rule nary_cong :premises (@p76 @p235) :args (@t372)) % 7.71/7.96 (step @p237 :rule cong :premises (@p236) :args ((forall @t5 @t372))) % 7.71/7.96 (step @p238 :rule bool-or-de-morgan :args (@t365 @t363 false)) % 7.71/7.96 (step @p239 :rule nary_cong :premises (@p238 @p215) :args (@t373)) % 7.71/7.96 (step @p240 :rule refl :args (@t370)) % 7.71/7.96 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((and @t370 @t373))) % 7.71/7.96 (step @p242 :rule bool-double-not-elim :args (@t373)) % 7.71/7.96 (step @p243 :rule bool-double-not-elim :args (@t370)) % 7.71/7.96 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((and (not @t375) (not @t374)))) % 7.71/7.96 (step @p245 :rule bool-or-de-morgan :args (@t375 @t374 false)) % 7.71/7.96 (step @p246 :rule trans :premises (@p245 @p244)) % 7.71/7.96 (step @p247 :rule trans :premises (@p246 @p241)) % 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7.71/7.97 (step @p1127 :rule beta-reduce :args ((= (_ (lambda @t109 (forall @t5 (or @t182 (and (or (not @t954) @t955) (or (not @t955) @t954))))) @t18) @t949))) % 7.71/7.97 (step @p1128 :rule refl :args (@t954)) % 7.71/7.97 (step @p1129 :rule refl :args (@t956)) % 7.71/7.97 (step @p1130 :rule cong :premises (@p1129 @p1128) :args ((= @t956 @t954))) % 7.71/7.97 (step @p1131 :rule symm :premises (@p1130)) % 7.71/7.97 (step @p1132 :rule eq_resolve :premises (@p1129 @p1131)) % 7.71/7.97 (step @p1133 :rule refl :args ((tptp.qmltpeq @t957 tptp.empty_set @t7))) % 7.71/7.97 (step @p1134 :rule refl :args (tptp.empty_set)) % 7.71/7.97 (step @p1135 :rule refl :args (@t651)) % 7.71/7.97 (step @p1136 :rule cong :premises (@p1135 @p1134 @p85) :args (@t955)) % 7.71/7.97 (step @p1137 :rule trans :premises (@p1136 @p1133)) % 7.71/7.97 (step @p1138 :rule refl :args (tptp.qmltpeq)) % 7.71/7.97 (step @p1139 :rule ho_cong :premises (@p1138 @p1135)) % 7.71/7.97 (step @p1140 :rule ho_cong :premises (@p1139 @p1134)) % 7.71/7.97 (step @p1141 :rule ho_cong :premises (@p1140 @p85)) % 7.71/7.97 (step @p1142 :rule cong :premises (@p1141 @p1137) :args ((= (_ (_ (_ tptp.qmltpeq @t651) tptp.empty_set) @t7) @t955))) % 7.71/7.97 (step @p1143 :rule symm :premises (@p1142)) % 7.71/7.97 (step @p1144 :rule refl :args (@t958)) % 7.71/7.97 (step @p1145 :rule eq_resolve :premises (@p1144 @p1143)) % 7.71/7.97 (step @p1146 :rule refl :args (@t957)) % 7.71/7.97 (step @p1147 :rule cong :premises (@p1146 @p1135) :args ((= @t957 @t651))) % 7.71/7.97 (step @p1148 :rule symm :premises (@p1147)) % 7.71/7.97 (step @p1149 :rule eq_resolve :premises (@p1146 @p1148)) % 7.71/7.97 (step @p1150 :rule ho_cong :premises (@p1138 @p1149)) % 7.71/7.97 (step @p1151 :rule ho_cong :premises (@p1150 @p1134)) % 7.71/7.97 (step @p1152 :rule ho_cong :premises (@p1151 @p85)) % 7.71/7.97 (step @p1153 :rule trans :premises (@p1152 @p1145)) % 7.71/7.97 (step @p1154 :rule cong :premises (@p1153) :args (@t959)) % 7.71/7.97 (step @p1155 :rule nary_cong :premises (@p1154 @p1132) :args (@t960)) % 7.71/7.97 (step @p1156 :rule cong :premises (@p1132) :args (@t961)) % 7.71/7.97 (step @p1157 :rule nary_cong :premises (@p1156 @p1153) :args (@t962)) % 7.71/7.97 (step @p1158 :rule nary_cong :premises (@p1157 @p1155) :args (@t963)) % 7.71/7.97 (step @p1159 :rule nary_cong :premises (@p76 @p1158) :args (@t964)) % 7.71/7.97 (step @p1160 :rule cong :premises (@p1159) :args ((forall @t5 @t964))) % 7.71/7.97 (step @p1161 :rule bool-double-not-elim :args (@t960)) % 7.71/7.97 (step @p1162 :rule bool-double-not-elim :args (@t962)) % 7.71/7.97 (step @p1163 :rule nary_cong :premises (@p1162 @p1161) :args ((and (not @t966) (not @t965)))) % 7.71/7.97 (step @p1164 :rule bool-or-de-morgan :args (@t966 @t965 false)) % 7.71/7.97 (step @p1165 :rule trans :premises (@p1164 @p1163)) % 7.71/7.97 (step @p1166 :rule nary_cong :premises (@p76 @p1165) :args (@t968)) % 7.71/7.97 (step @p1167 :rule cong :premises (@p1166) :args ((forall @t5 @t968))) % 7.71/7.97 (step @p1168 :rule trans :premises (@p1167 @p1160)) % 7.71/7.97 (step @p1169 :rule beta-reduce :args ((= @t974 @t967))) % 7.71/7.97 (step @p1170 :rule nary_cong :premises (@p91 @p1169) :args (@t975)) % 7.71/7.97 (step @p1171 :rule cong :premises (@p1170) :args (@t976)) % 7.71/7.97 (step @p1172 :rule trans :premises (@p1171 @p1168)) % 7.71/7.97 (step @p1173 :rule cong :premises (@p1172) :args (@t977)) % 7.71/7.97 (step @p1174 :rule beta-reduce :args ((= (_ @t241 @t973) @t977))) % 7.71/7.97 (step @p1175 :rule trans :premises (@p1174 @p1173)) % 7.71/7.97 (step @p1176 :rule beta-reduce :args ((= (_ @t978 @t18) @t972))) % 7.71/7.97 (step @p1177 :rule beta-reduce :args ((= (_ @t979 @t81) @t978))) % 7.71/7.97 (step @p1178 :rule refl :args (@t81)) % 7.71/7.97 (step @p1179 :rule beta-reduce :args ((= @t980 @t979))) % 7.71/7.97 (step @p1180 :rule ho_cong :premises (@p1179 @p1178)) % 7.71/7.97 (step @p1181 :rule trans :premises (@p1180 @p1177)) % 7.71/7.97 (step @p1182 :rule ho_cong :premises (@p1181 @p99)) % 7.71/7.97 (step @p1183 :rule trans :premises (@p1182 @p1176)) % 7.71/7.97 (step @p1184 :rule cong :premises (@p1183) :args (@t981)) % 7.71/7.97 (step @p1185 :rule ho_cong :premises (@p285 @p1184)) % 7.71/7.97 (step @p1186 :rule trans :premises (@p1185 @p1175)) % 7.71/7.97 (step @p1187 :rule ho_cong :premises (@p1186 @p99)) % 7.71/7.97 (step @p1188 :rule trans :premises (@p1187 @p1127)) % 7.71/7.97 (step @p1189 :rule cong :premises (@p1188) :args ((lambda @t38 (_ (_ @t241 @t981) @t18)))) % 7.71/7.97 (step @p1190 :rule ho_cong :premises (@p285 @p1189)) % 7.71/7.97 (step @p1191 :rule trans :premises (@p1190 @p1126)) % 7.71/7.97 (step @p1192 :rule ho_cong :premises (@p306 @p1191)) % 7.71/7.97 (step @p1193 :rule trans :premises (@p1192 @p1104)) % 7.71/7.97 (step @p1194 :rule refl :args (@t82)) % 7.71/7.97 (step @p1195 :rule ho_cong :premises (@p414 @p1194)) % 7.71/7.97 (step @p1196 :rule ho_cong :premises (@p1195 @p1178)) % 7.71/7.97 (step @p1197 :rule ho_cong :premises (@p1196 @p99)) % 7.71/7.97 (step @p1198 :rule cong :premises (@p1197) :args (@t83)) % 7.71/7.97 (step @p1199 :rule ho_cong :premises (@p436 @p1198)) % 7.71/7.97 (step @p1200 :rule ho_cong :premises (@p1199 @p99)) % 7.71/7.97 (step @p1201 :rule cong :premises (@p1200) :args (@t84)) % 7.71/7.97 (step @p1202 :rule ho_cong :premises (@p436 @p1201)) % 7.71/7.97 (step @p1203 :rule ho_cong :premises (@p457 @p1202)) % 7.71/7.97 (step @p1204 :rule trans :premises (@p1203 @p1193)) % 7.71/7.97 (step @p1205 :rule eq_resolve :premises (@p27 @p1204)) % 7.71/7.97 (step @p1206 :rule instantiate :premises (@p1205) :args (@t820)) % 7.71/7.97 (step @p1207 :rule cnf_or_pos :args (@t984)) % 7.71/7.97 (step @p1208 :rule reordering :premises (@p1207) :args ((or @t549 @t572 @t983 (not @t984)))) % 7.71/7.97 (step @p1209 :rule chain_m_resolution :premises (@p1208 @p951 @p483 @p1206) :args (@t983 @t836 (@list @t548 @t571 @t984))) % 7.71/7.97 (step @p1210 :rule cnf_and_pos :args (@t983 0)) % 7.71/7.97 (step @p1211 :rule reordering :premises (@p1210) :args ((or @t982 (not @t983)))) % 7.71/7.97 (step @p1212 :rule chain_m_resolution :premises (@p1211 @p1209) :args (@t982 @t590 (@list @t983))) % 7.71/7.97 (step @p1213 :rule bool-double-not-elim :args (@t546)) % 7.71/7.97 (step @p1214 :rule nary_cong :premises (@p621 @p1213) :args ((or @t553 (not @t547)))) % 7.71/7.97 (step @p1215 :rule cnf_or_neg :args (@t553 3)) % 7.71/7.97 (step @p1216 :rule eq_resolve :premises (@p1215 @p1214)) % 7.71/7.97 (step @p1217 :rule reordering :premises (@p1216) :args ((or @t546 @t553))) % 7.71/7.97 (step @p1218 :rule chain_m_resolution :premises (@p1217 @p619) :args (@t546 @t554 @t555)) % 7.71/7.97 (step @p1219 :rule cnf_or_pos :args (@t982)) % 7.71/7.97 (step @p1220 :rule reordering :premises (@p1219) :args ((or @t547 @t916 (not @t982)))) % 7.71/7.97 (step @p1221 :rule chain_m_resolution :premises (@p1220 @p1218 @p1212) :args (@t916 @t588 (@list @t546 @t982))) % 7.71/7.97 (step @p1222 :rule cnf_or_pos :args (@t918)) % 7.71/7.97 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t552 @t917 @t827 (not @t918)))) % 7.71/7.97 (step @p1224 :rule chain_m_resolution :premises (@p1223 @p632 @p1221 @p1098) :args (@t827 @t836 (@list @t551 @t916 @t918))) % 7.71/7.97 (step @p1225 :rule bool-double-not-elim :args (@t544)) % 7.71/7.97 (step @p1226 :rule nary_cong :premises (@p621 @p1225) :args ((or @t553 (not @t545)))) % 7.71/7.97 (step @p1227 :rule cnf_or_neg :args (@t553 4)) % 7.71/7.97 (step @p1228 :rule eq_resolve :premises (@p1227 @p1226)) % 7.71/7.97 (step @p1229 :rule reordering :premises (@p1228) :args ((or @t544 @t553))) % 7.71/7.97 (step @p1230 :rule chain_m_resolution :premises (@p1229 @p619) :args (@t544 @t554 @t555)) % 7.71/7.97 (step @p1231 :rule cnf_or_pos :args (@t826)) % 7.71/7.97 (step @p1232 :rule reordering :premises (@p1231) :args ((or @t545 @t566 @t825 (not @t826)))) % 7.71/7.97 (step @p1233 :rule chain_m_resolution :premises (@p1232 @p1230 @p1224 @p967) :args (@t566 (@list false true false) (@list @t544 @t825 @t826))) % 7.71/7.97 (step @p1234 :rule cnf_or_pos :args (@t565)) % 7.71/7.97 (step @p1235 :rule reordering :premises (@p1234) :args ((or @t560 @t564 @t985))) % 7.71/7.97 (step @p1236 :rule chain_m_resolution :premises (@p1235 @p1233 @p669) :args (@t985 (@list true true) (@list @t560 @t564))) % 7.71/7.97 (step @p1237 :rule cnf_and_pos :args (@t567 1)) % 7.71/7.97 (step @p1238 :rule reordering :premises (@p1237) :args ((or @t565 @t986))) % 7.71/7.97 (step @p1239 :rule chain_m_resolution :premises (@p1238 @p1236) :args (@t986 @t554 (@list @t565))) % 7.71/7.97 (step @p1240 :rule instantiate :premises (@p662) :args ((@list @t470 @t469))) % 7.71/7.97 (step @p1241 :rule cnf_or_pos :args (@t987)) % 7.71/7.97 (step @p1242 :rule reordering :premises (@p1241) :args ((or @t572 @t556 (not @t987)))) % 7.71/7.97 (step @p1243 :rule chain_m_resolution :premises (@p1242 @p483 @p1240) :args (@t556 @t588 (@list @t571 @t987))) % 7.71/7.97 (step @p1244 :rule cnf_or_pos :args (@t569)) % 7.71/7.97 (step @p1245 :rule reordering :premises (@p1244) :args ((or @t552 @t568 @t567 @t988))) % 7.71/7.97 (step @p1246 :rule chain_m_resolution :premises (@p1245 @p632 @p1243 @p1239) :args (@t988 (@list false false true) (@list @t551 @t556 @t567))) % 7.71/7.97 (step @p1247 :rule cnf_and_pos :args (@t570 0)) % 7.71/7.97 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t569 (not @t570)))) % 7.71/7.97 (step @p1249 false :rule chain_m_resolution :premises (@p1248 @p1246 @p635) :args (false (@list true false) (@list @t569 @t570))) % 7.71/7.97 ) % 7.71/7.97 % SZS output end Proof % 7.71/7.97 % cvc5 exiting %------------------------------------------------------------------------------