%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG011^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:15:59 AM UTC 2026 % Result : Theorem 0.43s 0.68s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG011^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:03:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.43/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.68 % SZS status Theorem % 0.43/0.68 % SZS output start Proof % 0.43/0.68 ( % 0.43/0.68 (declare-sort tptp.reg 0) % 0.43/0.68 (declare-sort $$unsorted 0) % 0.43/0.68 (declare-sort tptp.mu 0) % 0.43/0.68 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 0.43/0.68 (declare-const tptp.france tptp.reg) % 0.43/0.68 (declare-const tptp.catalunya tptp.reg) % 0.43/0.68 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 0.43/0.68 (declare-const tptp.spain tptp.reg) % 0.43/0.68 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 0.43/0.68 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.43/0.68 (declare-const tptp.paris tptp.reg) % 0.43/0.68 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.43/0.68 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.43/0.68 (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)))))) % 0.43/0.68 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.43/0.68 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.43/0.68 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.43/0.68 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.43/0.68 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.43/0.68 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.43/0.68 (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) (_ (_ _let_3 _let_2) _let_1))))))) % 0.43/0.69 (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))))))) % 0.43/0.69 (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)))))) % 0.43/0.69 (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)))))) % 0.43/0.69 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.43/0.69 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.43/0.69 (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)))))) % 0.43/0.69 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.43/0.69 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.43/0.69 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.43/0.69 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.43/0.69 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.43/0.69 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.43/0.69 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.43/0.69 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.43/0.69 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.43/0.69 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.43/0.69 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.43/0.69 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.43/0.69 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.43/0.69 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.43/0.69 (define tptp.dc () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (not (_ (_ tptp.c _let_2) _let_1)))))) % 0.43/0.69 (define tptp.p () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.c _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.43/0.69 (define tptp.eq () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (_ (_ tptp.p _let_2) _let_1)))))) % 0.43/0.69 (define tptp.o () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.p _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.43/0.69 (define tptp.po () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.o _let_1) _let_2) (not (_ (_ tptp.p _let_1) _let_2)) (not (_ (_ tptp.p _let_2) _let_1))))))) % 0.43/0.69 (define tptp.ec () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.c _let_2) _let_1) (not (_ (_ tptp.o _let_2) _let_1))))))) % 0.43/0.69 (define tptp.pp () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (not (_ (_ tptp.p _let_2) _let_1))))))) % 0.43/0.69 (define tptp.tpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))) % 0.43/0.69 (define tptp.ntpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (not (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))) % 0.43/0.69 (define @t1 () (@var "X" tptp.reg)) % 0.43/0.69 (define @t2 () (_ tptp.c @t1)) % 0.43/0.69 (define @t3 () (@var "Y" tptp.reg)) % 0.43/0.69 (define @t4 () (_ @t2 @t3)) % 0.43/0.69 (define @t5 () (@list @t1 @t3)) % 0.43/0.69 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.43/0.69 (define @t7 () (@var "A" (-> $$unsorted Bool))) % 0.43/0.69 (define @t8 () (_ tptp.mbox tptp.fool)) % 0.43/0.69 (define @t9 () (_ @t8 @t7)) % 0.43/0.69 (define @t10 () (_ tptp.mimplies @t9)) % 0.43/0.69 (define @t11 () (@list @t7 @t6)) % 0.43/0.69 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 0.43/0.69 (define @t13 () (_ tptp.mbox tptp.a)) % 0.43/0.69 (define @t14 () (@list (@var "X" $$unsorted))) % 0.43/0.69 (define @t15 () (lambda @t14 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))) % 0.43/0.69 (define @t16 () (lambda @t14 (_ (_ tptp.ntpp tptp.paris) tptp.france))) % 0.43/0.69 (define @t17 () (@var "Z" tptp.reg)) % 0.43/0.69 (define @t18 () (and (_ (_ tptp.pp tptp.paris) @t17) (_ (_ tptp.pp tptp.catalunya) @t17))) % 0.43/0.69 (define @t19 () (and (_ (_ tptp.ntpp tptp.france) @t17) (_ (_ tptp.ntpp tptp.spain) @t17))) % 0.43/0.69 (define @t20 () (=> @t19 @t18)) % 0.43/0.69 (define @t21 () (@list @t17)) % 0.43/0.69 (define @t22 () (forall @t21 @t20)) % 0.43/0.69 (define @t23 () (lambda @t14 @t22)) % 0.43/0.69 (define @t24 () (not (_ tptp.mvalid (_ @t13 @t23)))) % 0.43/0.69 (define @t25 () (@var "Y" tptp.mu)) % 0.43/0.69 (define @t26 () (@var "X" tptp.mu)) % 0.43/0.69 (define @t27 () (@var "W" $$unsorted)) % 0.43/0.69 (define @t28 () (lambda (@list @t26 @t25 @t27) (= @t26 @t25))) % 0.43/0.69 (define @t29 () (@var "Y" (-> $$unsorted Bool))) % 0.43/0.69 (define @t30 () (@var "X" (-> $$unsorted Bool))) % 0.43/0.69 (define @t31 () (lambda (@list @t30 @t29 @t27) (= (_ @t30 @t27) (_ @t29 @t27)))) % 0.43/0.69 (define @t32 () (_ @t12 @t27)) % 0.43/0.69 (define @t33 () (not @t32)) % 0.43/0.69 (define @t34 () (@list @t12 @t27)) % 0.43/0.69 (define @t35 () (lambda @t34 @t33)) % 0.43/0.69 (define @t36 () (@var "Psi" (-> $$unsorted Bool))) % 0.43/0.69 (define @t37 () (lambda (@list @t12 @t36 @t27) (or @t32 (_ @t36 @t27)))) % 0.43/0.69 (define @t38 () (_ tptp.mnot @t36)) % 0.43/0.69 (define @t39 () (_ tptp.mnot @t12)) % 0.43/0.69 (define @t40 () (_ tptp.mor @t39)) % 0.43/0.69 (define @t41 () (@list @t12 @t36 @t6)) % 0.43/0.69 (define @t42 () (lambda @t41 (_ (_ tptp.mnot (_ @t40 @t38)) @t6))) % 0.43/0.69 (define @t43 () (lambda @t41 (_ (_ @t40 @t36) @t6))) % 0.43/0.69 (define @t44 () (lambda @t41 (_ (_ (_ tptp.mor @t38) @t12) @t6))) % 0.43/0.69 (define @t45 () (lambda @t41 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t36)) (_ (_ tptp.mimplies @t36) @t12)) @t6))) % 0.43/0.69 (define @t46 () (lambda @t41 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t36)) @t6))) % 0.43/0.69 (define @t47 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.43/0.69 (define @t48 () (_ @t47 @t26)) % 0.43/0.69 (define @t49 () (lambda (@list @t47 @t27) (forall (@list @t26) (_ @t48 @t27)))) % 0.43/0.69 (define @t50 () (@var "P" (-> $$unsorted Bool))) % 0.43/0.69 (define @t51 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.43/0.69 (define @t52 () (_ @t51 @t50)) % 0.43/0.69 (define @t53 () (lambda (@list @t51 @t27) (forall (@list @t50) (_ @t52 @t27)))) % 0.43/0.69 (define @t54 () (lambda (@list @t47 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t26 @t6) (_ (_ tptp.mnot @t48) @t6)))) @t6))) % 0.43/0.69 (define @t55 () (lambda (@list @t51 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t50 @t6) (_ (_ tptp.mnot @t52) @t6)))) @t6))) % 0.43/0.69 (define @t56 () (@list @t27)) % 0.43/0.69 (define @t57 () (lambda @t56 true)) % 0.43/0.69 (define @t58 () (@var "V" $$unsorted)) % 0.43/0.69 (define @t59 () (_ @t12 @t58)) % 0.43/0.69 (define @t60 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.43/0.69 (define @t61 () (_ (_ @t60 @t27) @t58)) % 0.43/0.69 (define @t62 () (not @t61)) % 0.43/0.69 (define @t63 () (or @t62 @t59)) % 0.43/0.69 (define @t64 () (@list @t58)) % 0.43/0.69 (define @t65 () (forall @t64 @t63)) % 0.43/0.69 (define @t66 () (@list @t60 @t12 @t27)) % 0.43/0.69 (define @t67 () (lambda @t66 @t65)) % 0.43/0.69 (define @t68 () (lambda (@list @t60 @t12 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t60) @t39)) @t6))) % 0.43/0.69 (define @t69 () (@var "S" $$unsorted)) % 0.43/0.69 (define @t70 () (_ @t60 @t69)) % 0.43/0.69 (define @t71 () (@list @t69)) % 0.43/0.69 (define @t72 () (@list @t60)) % 0.43/0.69 (define @t73 () (lambda @t72 (forall @t71 (_ @t70 @t69)))) % 0.43/0.69 (define @t74 () (@var "T" $$unsorted)) % 0.43/0.69 (define @t75 () (_ @t60 @t74)) % 0.43/0.69 (define @t76 () (_ @t70 @t74)) % 0.43/0.69 (define @t77 () (lambda @t72 (forall (@list @t69 @t74) (=> @t76 (_ @t75 @t69))))) % 0.43/0.69 (define @t78 () (@list @t74)) % 0.43/0.69 (define @t79 () (lambda @t72 (forall @t71 (exists @t78 @t76)))) % 0.43/0.69 (define @t80 () (@var "U" $$unsorted)) % 0.43/0.69 (define @t81 () (_ @t70 @t80)) % 0.43/0.69 (define @t82 () (_ @t75 @t80)) % 0.43/0.69 (define @t83 () (@list @t69 @t74 @t80)) % 0.43/0.69 (define @t84 () (lambda @t72 (forall @t83 (=> (and @t76 @t82) @t81)))) % 0.43/0.69 (define @t85 () (and @t76 @t81)) % 0.43/0.69 (define @t86 () (lambda @t72 (forall @t83 (=> @t85 @t82)))) % 0.43/0.69 (define @t87 () (= @t74 @t80)) % 0.43/0.69 (define @t88 () (lambda @t72 (forall @t83 (=> @t85 @t87)))) % 0.43/0.69 (define @t89 () (@list @t80)) % 0.43/0.69 (define @t90 () (lambda @t72 (forall @t71 (exists @t78 (and @t76 (forall @t89 (=> @t81 @t87))))))) % 0.43/0.69 (define @t91 () (_ @t60 @t80)) % 0.43/0.69 (define @t92 () (_ @t91 @t74)) % 0.43/0.69 (define @t93 () (lambda @t72 (forall @t83 (=> @t76 (exists @t89 (and @t81 @t92)))))) % 0.43/0.69 (define @t94 () (lambda @t72 (forall @t83 (=> @t85 (or @t82 @t87 @t92))))) % 0.43/0.69 (define @t95 () (lambda @t72 (forall @t83 (=> @t85 (exists @t64 (and (_ @t75 @t58) (_ @t91 @t58))))))) % 0.43/0.69 (define @t96 () (forall @t56 @t32)) % 0.43/0.69 (define @t97 () (@list @t12)) % 0.43/0.69 (define @t98 () (lambda @t97 @t96)) % 0.43/0.69 (define @t99 () (lambda @t97 (forall @t56 @t33))) % 0.43/0.69 (define @t100 () (lambda @t97 (exists @t56 @t32))) % 0.43/0.69 (define @t101 () (lambda @t97 (exists @t56 @t33))) % 0.43/0.69 (define @t102 () (lambda @t5 (not @t4))) % 0.43/0.69 (define @t103 () (_ tptp.c @t17)) % 0.43/0.69 (define @t104 () (_ @t103 @t3)) % 0.43/0.69 (define @t105 () (_ @t103 @t1)) % 0.43/0.69 (define @t106 () (forall @t21 (=> @t105 @t104))) % 0.43/0.69 (define @t107 () (lambda @t5 @t106)) % 0.43/0.69 (define @t108 () (_ (_ tptp.p @t3) @t1)) % 0.43/0.69 (define @t109 () (_ (_ tptp.p @t1) @t3)) % 0.43/0.69 (define @t110 () (lambda @t5 (and @t109 @t108))) % 0.43/0.69 (define @t111 () (_ tptp.p @t17)) % 0.43/0.69 (define @t112 () (and (_ @t111 @t1) (_ @t111 @t3))) % 0.43/0.69 (define @t113 () (exists @t21 @t112)) % 0.43/0.69 (define @t114 () (lambda @t5 @t113)) % 0.43/0.69 (define @t115 () (not @t108)) % 0.43/0.69 (define @t116 () (_ (_ tptp.o @t1) @t3)) % 0.43/0.69 (define @t117 () (lambda @t5 (and @t116 (not @t109) @t115))) % 0.43/0.69 (define @t118 () (not @t116)) % 0.43/0.69 (define @t119 () (and @t4 @t118)) % 0.43/0.69 (define @t120 () (lambda @t5 @t119)) % 0.43/0.69 (define @t121 () (and @t109 @t115)) % 0.43/0.69 (define @t122 () (lambda @t5 @t121)) % 0.43/0.69 (define @t123 () (_ tptp.ec @t17)) % 0.43/0.69 (define @t124 () (and (_ @t123 @t1) (_ @t123 @t3))) % 0.43/0.69 (define @t125 () (exists @t21 @t124)) % 0.43/0.69 (define @t126 () (_ (_ tptp.pp @t1) @t3)) % 0.43/0.69 (define @t127 () (and @t126 @t125)) % 0.43/0.69 (define @t128 () (lambda @t5 @t127)) % 0.43/0.69 (define @t129 () (not @t125)) % 0.43/0.69 (define @t130 () (and @t126 @t129)) % 0.43/0.69 (define @t131 () (lambda @t5 @t130)) % 0.43/0.69 (define @t132 () (not (tptp.a @t27 @t58))) % 0.43/0.69 (define @t133 () (forall (@list @t27 @t58) @t132)) % 0.43/0.69 (define @t134 () (forall @t64 @t132)) % 0.43/0.69 (define @t135 () (forall @t56 @t134)) % 0.43/0.69 (define @t136 () (@var "BOUND_VARIABLE_9324" tptp.reg)) % 0.43/0.69 (define @t137 () (tptp.c @t136 tptp.spain)) % 0.43/0.69 (define @t138 () (not (tptp.c @t136 @t17))) % 0.43/0.69 (define @t139 () (@var "BOUND_VARIABLE_9318" tptp.reg)) % 0.43/0.69 (define @t140 () (tptp.c @t139 tptp.france)) % 0.43/0.69 (define @t141 () (not (tptp.c @t139 @t17))) % 0.43/0.69 (define @t142 () (@var "BOUND_VARIABLE_9277" tptp.reg)) % 0.43/0.69 (define @t143 () (tptp.c @t142 tptp.catalunya)) % 0.43/0.69 (define @t144 () (@list @t142)) % 0.43/0.69 (define @t145 () (not (forall @t144 (or (not (tptp.c @t142 @t17)) @t143)))) % 0.43/0.69 (define @t146 () (@var "BOUND_VARIABLE_9336" tptp.reg)) % 0.43/0.69 (define @t147 () (or (not (tptp.c @t146 tptp.catalunya)) (tptp.c @t146 @t17))) % 0.43/0.69 (define @t148 () (@var "BOUND_VARIABLE_9246" tptp.reg)) % 0.43/0.69 (define @t149 () (tptp.c @t148 tptp.paris)) % 0.43/0.69 (define @t150 () (@list @t148)) % 0.43/0.69 (define @t151 () (not (forall @t150 (or (not (tptp.c @t148 @t17)) @t149)))) % 0.43/0.69 (define @t152 () (@var "BOUND_VARIABLE_9330" tptp.reg)) % 0.43/0.69 (define @t153 () (or (not (tptp.c @t152 tptp.paris)) (tptp.c @t152 @t17))) % 0.43/0.69 (define @t154 () (and @t153 @t151 @t147 @t145)) % 0.43/0.69 (define @t155 () (@var "BOUND_VARIABLE_9195" tptp.reg)) % 0.43/0.69 (define @t156 () (not (tptp.c @t155 tptp.spain))) % 0.43/0.69 (define @t157 () (@list @t155)) % 0.43/0.69 (define @t158 () (forall @t157 (or @t156 (tptp.c @t155 @t17)))) % 0.43/0.69 (define @t159 () (not @t158)) % 0.43/0.69 (define @t160 () (@var "BOUND_VARIABLE_8327" tptp.reg)) % 0.43/0.69 (define @t161 () (tptp.c @t160 @t17)) % 0.43/0.69 (define @t162 () (@var "BOUND_VARIABLE_8440" tptp.reg)) % 0.43/0.69 (define @t163 () (not (tptp.c @t160 @t162))) % 0.43/0.69 (define @t164 () (@list @t160)) % 0.43/0.69 (define @t165 () (not (forall @t164 (or @t163 @t161)))) % 0.43/0.69 (define @t166 () (@var "BOUND_VARIABLE_9203" tptp.reg)) % 0.43/0.69 (define @t167 () (not (forall @t164 (or @t163 (tptp.c @t160 @t166))))) % 0.43/0.69 (define @t168 () (@list @t162)) % 0.43/0.69 (define @t169 () (not (forall @t164 (or @t163 (tptp.c @t160 tptp.spain))))) % 0.43/0.69 (define @t170 () (not (forall @t168 (or @t167 @t169)))) % 0.43/0.69 (define @t171 () (not (tptp.c @t166 tptp.spain))) % 0.43/0.69 (define @t172 () (@list @t166)) % 0.43/0.69 (define @t173 () (forall @t172 (or @t171 @t170 (not (tptp.c @t166 @t17)) (not (forall @t168 (or @t167 @t165)))))) % 0.43/0.69 (define @t174 () (not @t173)) % 0.43/0.69 (define @t175 () (@var "BOUND_VARIABLE_9128" tptp.reg)) % 0.43/0.69 (define @t176 () (not (tptp.c @t175 tptp.france))) % 0.43/0.69 (define @t177 () (@list @t175)) % 0.43/0.69 (define @t178 () (forall @t177 (or @t176 (tptp.c @t175 @t17)))) % 0.43/0.69 (define @t179 () (not @t178)) % 0.43/0.69 (define @t180 () (@var "BOUND_VARIABLE_9136" tptp.reg)) % 0.43/0.69 (define @t181 () (not (forall @t164 (or @t163 (tptp.c @t160 @t180))))) % 0.43/0.69 (define @t182 () (not (forall @t164 (or @t163 (tptp.c @t160 tptp.france))))) % 0.43/0.69 (define @t183 () (not (forall @t168 (or @t181 @t182)))) % 0.43/0.69 (define @t184 () (not (tptp.c @t180 tptp.france))) % 0.43/0.69 (define @t185 () (@list @t180)) % 0.43/0.69 (define @t186 () (forall @t185 (or @t184 @t183 (not (tptp.c @t180 @t17)) (not (forall @t168 (or @t181 @t165)))))) % 0.43/0.69 (define @t187 () (not @t186)) % 0.43/0.69 (define @t188 () (or @t187 @t179 @t174 @t159 @t154 @t141 @t140 @t138 @t137)) % 0.43/0.69 (define @t189 () (@list @t17 @t139 @t136 @t152 @t146)) % 0.43/0.69 (define @t190 () (forall @t189 @t188)) % 0.43/0.69 (define @t191 () (or @t190 @t135)) % 0.43/0.69 (define @t192 () (or @t190 @t134)) % 0.43/0.69 (define @t193 () (lambda @t56 @t192)) % 0.43/0.69 (define @t194 () (_ @t193 @t27)) % 0.43/0.69 (define @t195 () (forall @t56 @t194)) % 0.43/0.69 (define @t196 () (_ @t12 @t27)) % 0.43/0.69 (define @t197 () (lambda @t97 (forall @t56 @t196))) % 0.43/0.69 (define @t198 () (or @t190 @t132)) % 0.43/0.69 (define @t199 () (or @t132 @t190)) % 0.43/0.69 (define @t200 () (lambda @t14 @t190)) % 0.43/0.69 (define @t201 () (_ @t200 @t58)) % 0.43/0.69 (define @t202 () (or @t132 @t201)) % 0.43/0.69 (define @t203 () (forall @t64 @t202)) % 0.43/0.69 (define @t204 () (lambda @t56 @t203)) % 0.43/0.69 (define @t205 () (_ @t12 @t58)) % 0.43/0.69 (define @t206 () (lambda @t34 (forall @t64 (or @t132 @t205)))) % 0.43/0.69 (define @t207 () (or @t138 @t137)) % 0.43/0.69 (define @t208 () (or @t141 @t140)) % 0.43/0.69 (define @t209 () (or @t187 @t179 @t208 @t174 @t159 @t207 @t154)) % 0.43/0.69 (define @t210 () (forall @t189 @t209)) % 0.43/0.69 (define @t211 () (forall (@list @t139 @t136 @t152 @t146) @t209)) % 0.43/0.69 (define @t212 () (@list @t152 @t146)) % 0.43/0.69 (define @t213 () (forall @t212 @t145)) % 0.43/0.69 (define @t214 () (forall (@list @t146) @t147)) % 0.43/0.69 (define @t215 () (@var "BOUND_VARIABLE_9286" tptp.reg)) % 0.43/0.69 (define @t216 () (@list @t215)) % 0.43/0.69 (define @t217 () (forall @t212 @t147)) % 0.43/0.69 (define @t218 () (forall @t212 @t151)) % 0.43/0.69 (define @t219 () (forall (@list @t152) @t153)) % 0.43/0.69 (define @t220 () (@var "BOUND_VARIABLE_9255" tptp.reg)) % 0.43/0.69 (define @t221 () (@list @t220)) % 0.43/0.69 (define @t222 () (forall @t212 @t153)) % 0.43/0.69 (define @t223 () (and @t222 @t218 @t217 @t213)) % 0.43/0.69 (define @t224 () (forall @t212 @t154)) % 0.43/0.69 (define @t225 () (forall (@list @t136) @t207)) % 0.43/0.69 (define @t226 () (@var "BOUND_VARIABLE_9186" tptp.reg)) % 0.43/0.69 (define @t227 () (@list @t226)) % 0.43/0.69 (define @t228 () (forall (@list @t139) @t208)) % 0.43/0.69 (define @t229 () (@var "BOUND_VARIABLE_9119" tptp.reg)) % 0.43/0.69 (define @t230 () (@list @t229)) % 0.43/0.69 (define @t231 () (or @t187 @t179 @t228 @t174 @t159 @t225 @t224)) % 0.43/0.69 (define @t232 () (not (tptp.c @t215 tptp.catalunya))) % 0.43/0.69 (define @t233 () (@list @t215)) % 0.43/0.69 (define @t234 () (forall @t233 (or @t232 (tptp.c @t215 @t17)))) % 0.43/0.69 (define @t235 () (not (tptp.c @t220 tptp.paris))) % 0.43/0.69 (define @t236 () (@list @t220)) % 0.43/0.69 (define @t237 () (forall @t236 (or @t235 (tptp.c @t220 @t17)))) % 0.43/0.69 (define @t238 () (and @t237 @t151 @t234 @t145)) % 0.43/0.69 (define @t239 () (tptp.c @t226 tptp.spain)) % 0.43/0.69 (define @t240 () (@list @t226)) % 0.43/0.69 (define @t241 () (forall @t240 (or (not (tptp.c @t226 @t17)) @t239))) % 0.43/0.69 (define @t242 () (tptp.c @t229 tptp.france)) % 0.43/0.69 (define @t243 () (@list @t229)) % 0.43/0.69 (define @t244 () (forall @t243 (or (not (tptp.c @t229 @t17)) @t242))) % 0.43/0.69 (define @t245 () (or @t187 @t179 @t244 @t174 @t159 @t241 @t238)) % 0.43/0.69 (define @t246 () (not @t241)) % 0.43/0.69 (define @t247 () (not @t246)) % 0.43/0.69 (define @t248 () (not @t244)) % 0.43/0.69 (define @t249 () (not @t248)) % 0.43/0.69 (define @t250 () (or @t187 @t179 @t249 @t174 @t159 @t247)) % 0.43/0.69 (define @t251 () (and @t173 @t158 @t246)) % 0.43/0.69 (define @t252 () (and @t186 @t178 @t248 @t173 @t158 @t246)) % 0.43/0.69 (define @t253 () (and @t234 @t145)) % 0.43/0.69 (define @t254 () (and @t237 @t151)) % 0.43/0.69 (define @t255 () (@list @t3)) % 0.43/0.69 (define @t256 () (tptp.c @t17 tptp.catalunya)) % 0.43/0.69 (define @t257 () (tptp.c @t17 @t3)) % 0.43/0.69 (define @t258 () (not @t257)) % 0.43/0.69 (define @t259 () (forall @t21 (or @t258 @t256))) % 0.43/0.69 (define @t260 () (@list @t17)) % 0.43/0.69 (define @t261 () (not @t259)) % 0.43/0.69 (define @t262 () (not @t256)) % 0.43/0.69 (define @t263 () (forall @t21 (or @t262 @t257))) % 0.43/0.69 (define @t264 () (and @t263 @t261)) % 0.43/0.69 (define @t265 () (lambda @t255 @t264)) % 0.43/0.69 (define @t266 () (tptp.c @t17 @t1)) % 0.43/0.69 (define @t267 () (forall @t21 (or @t258 @t266))) % 0.43/0.69 (define @t268 () (not @t267)) % 0.43/0.69 (define @t269 () (not @t266)) % 0.43/0.69 (define @t270 () (forall @t21 (or @t269 @t257))) % 0.43/0.69 (define @t271 () (and @t270 @t268)) % 0.43/0.69 (define @t272 () (lambda @t5 @t271)) % 0.43/0.69 (define @t273 () (_ @t272 tptp.catalunya)) % 0.43/0.69 (define @t274 () (tptp.c @t17 tptp.paris)) % 0.43/0.69 (define @t275 () (forall @t21 (or @t258 @t274))) % 0.43/0.69 (define @t276 () (not @t275)) % 0.43/0.69 (define @t277 () (not @t274)) % 0.43/0.69 (define @t278 () (forall @t21 (or @t277 @t257))) % 0.43/0.69 (define @t279 () (and @t278 @t276)) % 0.43/0.69 (define @t280 () (lambda @t255 @t279)) % 0.43/0.69 (define @t281 () (_ @t272 tptp.paris)) % 0.43/0.69 (define @t282 () (and (_ @t281 @t17) (_ @t273 @t17))) % 0.43/0.69 (define @t283 () (and @t186 @t178 @t248)) % 0.43/0.69 (define @t284 () (tptp.c @t160 @t3)) % 0.43/0.69 (define @t285 () (not (forall @t164 (or @t163 @t284)))) % 0.43/0.69 (define @t286 () (tptp.c @t17 tptp.spain)) % 0.43/0.69 (define @t287 () (forall @t21 (or @t258 @t286))) % 0.43/0.69 (define @t288 () (not @t287)) % 0.43/0.69 (define @t289 () (not @t286)) % 0.43/0.69 (define @t290 () (forall @t21 (or @t289 @t257))) % 0.43/0.69 (define @t291 () (forall @t168 (or @t165 @t285))) % 0.43/0.69 (define @t292 () (not @t291)) % 0.43/0.69 (define @t293 () (not (forall @t168 (or @t165 @t169)))) % 0.43/0.69 (define @t294 () (forall @t21 (or @t289 @t293 @t258 @t292))) % 0.43/0.69 (define @t295 () (and @t294 @t290 @t288)) % 0.43/0.69 (define @t296 () (lambda @t255 @t295)) % 0.43/0.69 (define @t297 () (tptp.c @t160 @t1)) % 0.43/0.69 (define @t298 () (not (forall @t164 (or @t163 @t297)))) % 0.43/0.69 (define @t299 () (forall @t168 (or @t165 @t298))) % 0.43/0.69 (define @t300 () (not @t299)) % 0.43/0.69 (define @t301 () (forall @t21 (or @t269 @t300 @t258 @t292))) % 0.43/0.69 (define @t302 () (and @t301 @t270 @t268)) % 0.43/0.69 (define @t303 () (lambda @t5 @t302)) % 0.43/0.69 (define @t304 () (_ @t303 tptp.spain)) % 0.43/0.69 (define @t305 () (tptp.c @t17 tptp.france)) % 0.43/0.69 (define @t306 () (forall @t21 (or @t258 @t305))) % 0.43/0.69 (define @t307 () (not @t306)) % 0.43/0.69 (define @t308 () (not @t305)) % 0.43/0.69 (define @t309 () (forall @t21 (or @t308 @t257))) % 0.43/0.69 (define @t310 () (not (forall @t168 (or @t165 @t182)))) % 0.43/0.69 (define @t311 () (forall @t21 (or @t308 @t310 @t258 @t292))) % 0.43/0.69 (define @t312 () (and @t311 @t309 @t307)) % 0.43/0.69 (define @t313 () (lambda @t255 @t312)) % 0.43/0.69 (define @t314 () (_ @t303 tptp.france)) % 0.43/0.69 (define @t315 () (and (_ @t314 @t17) (_ @t304 @t17))) % 0.43/0.69 (define @t316 () (=> @t315 @t282)) % 0.43/0.69 (define @t317 () (forall @t21 @t316)) % 0.43/0.69 (define @t318 () (lambda @t14 @t317)) % 0.43/0.69 (define @t319 () (_ @t60 @t27 @t58)) % 0.43/0.69 (define @t320 () (_ (lambda @t66 (forall @t64 (or (not @t319) @t205))) tptp.a)) % 0.43/0.69 (define @t321 () (@var "BOUND_VARIABLE_8289" tptp.reg)) % 0.43/0.69 (define @t322 () (tptp.c @t17 @t321)) % 0.43/0.69 (define @t323 () (lambda (@list @t321) (forall @t21 (or @t258 @t322)))) % 0.43/0.69 (define @t324 () (lambda @t5 @t270)) % 0.43/0.69 (define @t325 () (not (_ (_ @t324 @t3) @t1))) % 0.43/0.69 (define @t326 () (lambda @t255 @t270)) % 0.43/0.69 (define @t327 () (_ @t324 @t1)) % 0.43/0.69 (define @t328 () (not @t105)) % 0.43/0.69 (define @t329 () (or @t328 @t104)) % 0.43/0.69 (define @t330 () (not @t104)) % 0.43/0.69 (define @t331 () (or @t328 @t300 @t330 @t292)) % 0.43/0.69 (define @t332 () (and @t104 @t291)) % 0.43/0.69 (define @t333 () (and @t105 @t299 @t104 @t291)) % 0.43/0.69 (define @t334 () (forall @t21 (not @t333))) % 0.43/0.69 (define @t335 () (not @t334)) % 0.43/0.69 (define @t336 () (and @t105 @t299)) % 0.43/0.69 (define @t337 () (lambda @t255 @t332)) % 0.43/0.69 (define @t338 () (not @t161)) % 0.43/0.69 (define @t339 () (forall @t164 (or @t338 @t284))) % 0.43/0.69 (define @t340 () (forall @t164 (or @t338 @t297))) % 0.43/0.69 (define @t341 () (forall @t21 (or (not @t340) (not @t339)))) % 0.43/0.69 (define @t342 () (and @t4 @t341)) % 0.43/0.69 (define @t343 () (lambda @t5 @t342)) % 0.43/0.69 (define @t344 () (_ @t343 @t17)) % 0.43/0.69 (define @t345 () (and (_ @t344 @t1) (_ @t344 @t3))) % 0.43/0.69 (define @t346 () (exists @t21 @t345)) % 0.43/0.69 (define @t347 () (not @t346)) % 0.43/0.69 (define @t348 () (lambda @t255 @t271)) % 0.43/0.69 (define @t349 () (_ @t272 @t1)) % 0.43/0.69 (define @t350 () (_ @t349 @t3)) % 0.43/0.69 (define @t351 () (not @t341)) % 0.43/0.69 (define @t352 () (lambda @t255 @t351)) % 0.43/0.69 (define @t353 () (_ (lambda @t5 @t351) @t1)) % 0.43/0.69 (define @t354 () (not (_ @t353 @t3))) % 0.43/0.69 (define @t355 () (and @t340 @t339)) % 0.43/0.69 (define @t356 () (forall @t21 (not @t355))) % 0.43/0.69 (define @t357 () (not @t356)) % 0.43/0.69 (define @t358 () (lambda @t255 @t339)) % 0.43/0.69 (define @t359 () (_ @t324 @t17)) % 0.43/0.69 (define @t360 () (and (_ @t359 @t1) (_ @t359 @t3))) % 0.43/0.69 (define @t361 () (@quantifiers_skolemize @t190 0)) % 0.43/0.69 (define @t362 () (forall @t177 (or @t176 (tptp.c @t175 @t361)))) % 0.43/0.69 (define @t363 () (@quantifiers_skolemize @t190 2)) % 0.43/0.69 (define @t364 () (@quantifiers_skolemize @t190 1)) % 0.43/0.69 (define @t365 () (forall @t144 (or (not (tptp.c @t142 @t361)) @t143))) % 0.43/0.69 (define @t366 () (not @t365)) % 0.43/0.69 (define @t367 () (@quantifiers_skolemize @t190 4)) % 0.43/0.69 (define @t368 () (tptp.c @t367 @t361)) % 0.43/0.69 (define @t369 () (tptp.c @t367 tptp.catalunya)) % 0.43/0.69 (define @t370 () (not @t369)) % 0.43/0.69 (define @t371 () (or @t370 @t368)) % 0.43/0.69 (define @t372 () (forall @t150 (or (not (tptp.c @t148 @t361)) @t149))) % 0.43/0.69 (define @t373 () (not @t372)) % 0.43/0.69 (define @t374 () (@quantifiers_skolemize @t190 3)) % 0.43/0.69 (define @t375 () (tptp.c @t374 @t361)) % 0.43/0.69 (define @t376 () (tptp.c @t374 tptp.paris)) % 0.43/0.69 (define @t377 () (not @t376)) % 0.43/0.69 (define @t378 () (or @t377 @t375)) % 0.43/0.69 (define @t379 () (and @t378 @t373 @t371 @t366)) % 0.43/0.69 (define @t380 () (forall @t157 (or @t156 (tptp.c @t155 @t361)))) % 0.43/0.69 (define @t381 () (not @t380)) % 0.43/0.69 (define @t382 () (not (forall @t164 (or @t163 (tptp.c @t160 @t361))))) % 0.43/0.69 (define @t383 () (not @t362)) % 0.43/0.69 (define @t384 () (or (not (forall @t185 (or @t184 @t183 (not (tptp.c @t180 @t361)) (not (forall @t168 (or @t181 @t382)))))) @t383 (not (forall @t172 (or @t171 @t170 (not (tptp.c @t166 @t361)) (not (forall @t168 (or @t167 @t382)))))) @t381 @t379 (not (tptp.c @t364 @t361)) (tptp.c @t364 tptp.france) (not (tptp.c @t363 @t361)) (tptp.c @t363 tptp.spain))) % 0.43/0.69 (define @t385 () (@list true)) % 0.43/0.69 (define @t386 () (@list @t384)) % 0.43/0.69 (define @t387 () (@list @t374)) % 0.43/0.69 (define @t388 () (forall @t21 (or @t289 @t256))) % 0.43/0.69 (define @t389 () (not @t388)) % 0.43/0.69 (define @t390 () (forall @t21 (or @t262 @t286))) % 0.43/0.69 (define @t391 () (not (forall @t168 (or @t165 (not (forall @t164 (or @t163 (tptp.c @t160 tptp.catalunya)))))))) % 0.43/0.69 (define @t392 () (and (not (forall @t21 (or @t262 @t391 @t289 @t293))) @t390 @t389)) % 0.43/0.69 (define @t393 () (or @t392 @t135)) % 0.43/0.69 (define @t394 () (or @t392 @t134)) % 0.43/0.69 (define @t395 () (lambda @t56 @t394)) % 0.43/0.69 (define @t396 () (_ @t395 @t27)) % 0.43/0.69 (define @t397 () (forall @t56 @t396)) % 0.43/0.69 (define @t398 () (or @t392 @t132)) % 0.43/0.69 (define @t399 () (or @t132 @t392)) % 0.43/0.69 (define @t400 () (lambda @t14 @t392)) % 0.43/0.69 (define @t401 () (_ @t400 @t58)) % 0.43/0.69 (define @t402 () (or @t132 @t401)) % 0.43/0.69 (define @t403 () (forall @t64 @t402)) % 0.43/0.69 (define @t404 () (lambda @t56 @t403)) % 0.43/0.69 (define @t405 () (lambda @t255 (and (not (forall @t21 (or @t262 @t391 @t258 @t292))) @t263 @t261))) % 0.43/0.69 (define @t406 () (not @t301)) % 0.43/0.69 (define @t407 () (and @t406 @t270 @t268)) % 0.43/0.69 (define @t408 () (_ (lambda @t5 @t407) tptp.catalunya)) % 0.43/0.69 (define @t409 () (@list @t133)) % 0.43/0.69 (define @t410 () (not @t392)) % 0.43/0.69 (define @t411 () (@list false)) % 0.43/0.69 (define @t412 () (@list @t392)) % 0.43/0.69 (define @t413 () (@list @t367)) % 0.43/0.69 (define @t414 () (tptp.c @t367 tptp.spain)) % 0.43/0.69 (define @t415 () (or @t370 @t414)) % 0.43/0.69 (define @t416 () (not @t414)) % 0.43/0.69 (define @t417 () (or @t416 @t368)) % 0.43/0.69 (define @t418 () (@quantifiers_skolemize @t388 0)) % 0.43/0.69 (define @t419 () (@list @t418)) % 0.43/0.69 (define @t420 () (tptp.c @t418 tptp.spain)) % 0.43/0.69 (define @t421 () (tptp.c @t418 tptp.catalunya)) % 0.43/0.69 (define @t422 () (not @t420)) % 0.43/0.69 (define @t423 () (or @t422 @t421)) % 0.43/0.69 (define @t424 () (@list @t423)) % 0.43/0.69 (define @t425 () (tptp.c @t418 @t361)) % 0.43/0.69 (define @t426 () (or @t422 @t425)) % 0.43/0.69 (define @t427 () (@list false false)) % 0.43/0.69 (define @t428 () (not @t425)) % 0.43/0.69 (define @t429 () (or @t428 @t421)) % 0.43/0.69 (define @t430 () (not @t429)) % 0.43/0.69 (define @t431 () (@list true false)) % 0.43/0.69 (define @t432 () (forall @t21 (or @t308 @t274))) % 0.43/0.69 (define @t433 () (@quantifiers_skolemize @t432 0)) % 0.43/0.69 (define @t434 () (@list @t433)) % 0.43/0.69 (define @t435 () (not @t432)) % 0.43/0.69 (define @t436 () (forall @t21 (or @t277 @t305))) % 0.43/0.69 (define @t437 () (not (forall @t168 (or @t165 (not (forall @t164 (or @t163 (tptp.c @t160 tptp.paris)))))))) % 0.43/0.69 (define @t438 () (and (forall @t21 (or @t277 @t437 @t308 @t310)) @t436 @t435)) % 0.43/0.69 (define @t439 () (or @t438 @t135)) % 0.43/0.69 (define @t440 () (or @t438 @t134)) % 0.43/0.69 (define @t441 () (lambda @t56 @t440)) % 0.43/0.69 (define @t442 () (_ @t441 @t27)) % 0.43/0.69 (define @t443 () (forall @t56 @t442)) % 0.43/0.69 (define @t444 () (or @t438 @t132)) % 0.43/0.69 (define @t445 () (or @t132 @t438)) % 0.43/0.69 (define @t446 () (lambda @t14 @t438)) % 0.43/0.69 (define @t447 () (_ @t446 @t58)) % 0.43/0.69 (define @t448 () (or @t132 @t447)) % 0.43/0.69 (define @t449 () (forall @t64 @t448)) % 0.43/0.69 (define @t450 () (lambda @t56 @t449)) % 0.43/0.69 (define @t451 () (lambda @t255 (and (forall @t21 (or @t277 @t437 @t258 @t292)) @t278 @t276))) % 0.43/0.69 (define @t452 () (_ @t303 tptp.paris)) % 0.43/0.69 (define @t453 () (not @t438)) % 0.43/0.69 (define @t454 () (@list @t438)) % 0.43/0.69 (define @t455 () (tptp.c @t433 tptp.france)) % 0.43/0.69 (define @t456 () (tptp.c @t433 tptp.paris)) % 0.43/0.69 (define @t457 () (not @t455)) % 0.43/0.69 (define @t458 () (or @t457 @t456)) % 0.43/0.69 (define @t459 () (@list @t458)) % 0.43/0.69 (define @t460 () (tptp.c @t433 @t361)) % 0.43/0.69 (define @t461 () (or @t457 @t460)) % 0.43/0.69 (define @t462 () (not @t460)) % 0.43/0.69 (define @t463 () (or @t462 @t456)) % 0.43/0.69 (define @t464 () (not @t463)) % 0.43/0.69 (define @t465 () (not @t371)) % 0.43/0.69 (define @t466 () (not @t378)) % 0.43/0.69 (define @t467 () (@list @t378)) % 0.43/0.69 (define @t468 () (tptp.c @t374 tptp.france)) % 0.43/0.69 (define @t469 () (or @t377 @t468)) % 0.43/0.69 (define @t470 () (not @t468)) % 0.43/0.69 (define @t471 () (or @t470 @t375)) % 0.43/0.69 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.43/0.69 (assume @p2 (forall (@list @t1) (_ @t2 @t1))) % 0.43/0.69 (assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1)))) % 0.43/0.69 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 @t7) @t6))))) % 0.43/0.69 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 (_ @t8 @t9)) @t6))))) % 0.43/0.69 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t12 @t6) (_ (_ (_ tptp.mimplies (_ @t8 @t12)) (_ @t13 @t12)) @t6))))) % 0.43/0.69 (assume @p7 (_ tptp.mvalid (_ @t13 @t15))) % 0.43/0.69 (assume @p8 (_ tptp.mvalid (_ @t8 (lambda @t14 (_ (_ tptp.ec tptp.spain) tptp.france))))) % 0.43/0.69 (assume @p9 (_ tptp.mvalid (_ @t13 @t16))) % 0.43/0.69 (assume @p10 @t24) % 0.43/0.69 (assume @p11 true) % 0.43/0.69 (step @p12 (= tptp.meq_ind @t28) :rule refl :args (@t28)) % 0.43/0.69 (step @p13 (= tptp.meq_prop @t31) :rule refl :args (@t31)) % 0.43/0.69 (step @p14 (= tptp.mnot @t35) :rule refl :args (@t35)) % 0.43/0.69 (step @p15 (= tptp.mor @t37) :rule refl :args (@t37)) % 0.43/0.69 (step @p16 (= tptp.mand @t42) :rule refl :args (@t42)) % 0.43/0.69 (step @p17 (= tptp.mimplies @t43) :rule refl :args (@t43)) % 0.43/0.69 (step @p18 (= tptp.mimplied @t44) :rule refl :args (@t44)) % 0.43/0.69 (step @p19 (= tptp.mequiv @t45) :rule refl :args (@t45)) % 0.43/0.69 (step @p20 (= tptp.mxor @t46) :rule refl :args (@t46)) % 0.43/0.69 (step @p21 (= tptp.mforall_ind @t49) :rule refl :args (@t49)) % 0.43/0.69 (step @p22 (= tptp.mforall_prop @t53) :rule refl :args (@t53)) % 0.43/0.69 (step @p23 (= tptp.mexists_ind @t54) :rule refl :args (@t54)) % 0.43/0.69 (step @p24 (= tptp.mexists_prop @t55) :rule refl :args (@t55)) % 0.43/0.69 (step @p25 (= tptp.mtrue @t57) :rule refl :args (@t57)) % 0.43/0.69 (step @p26 (= tptp.mbox @t67) :rule refl :args (@t67)) % 0.43/0.69 (step @p27 (= tptp.mdia @t68) :rule refl :args (@t68)) % 0.43/0.69 (step @p28 (= tptp.mreflexive @t73) :rule refl :args (@t73)) % 0.43/0.69 (step @p29 (= tptp.msymmetric @t77) :rule refl :args (@t77)) % 0.43/0.69 (step @p30 (= tptp.mserial @t79) :rule refl :args (@t79)) % 0.43/0.69 (step @p31 (= tptp.mtransitive @t84) :rule refl :args (@t84)) % 0.43/0.69 (step @p32 (= tptp.meuclidean @t86) :rule refl :args (@t86)) % 0.43/0.69 (step @p33 (= tptp.mpartially_functional @t88) :rule refl :args (@t88)) % 0.43/0.69 (step @p34 (= tptp.mfunctional @t90) :rule refl :args (@t90)) % 0.43/0.69 (step @p35 (= tptp.mweakly_dense @t93) :rule refl :args (@t93)) % 0.43/0.69 (step @p36 (= tptp.mweakly_connected @t94) :rule refl :args (@t94)) % 0.43/0.69 (step @p37 (= tptp.mweakly_directed @t95) :rule refl :args (@t95)) % 0.43/0.69 (step @p38 (= tptp.mvalid @t98) :rule refl :args (@t98)) % 0.43/0.69 (step @p39 (= tptp.minvalid @t99) :rule refl :args (@t99)) % 0.43/0.69 (step @p40 (= tptp.msatisfiable @t100) :rule refl :args (@t100)) % 0.43/0.69 (step @p41 (= tptp.mcountersatisfiable @t101) :rule refl :args (@t101)) % 0.43/0.69 (step @p42 (= tptp.dc @t102) :rule refl :args (@t102)) % 0.43/0.69 (step @p43 (= tptp.p @t107) :rule refl :args (@t107)) % 0.43/0.69 (step @p44 (= tptp.eq @t110) :rule refl :args (@t110)) % 0.43/0.69 (step @p45 (= tptp.o @t114) :rule refl :args (@t114)) % 0.43/0.69 (step @p46 (= tptp.po @t117) :rule refl :args (@t117)) % 0.43/0.69 (step @p47 (= tptp.ec @t120) :rule refl :args (@t120)) % 0.43/0.69 (step @p48 (= tptp.pp @t122) :rule refl :args (@t122)) % 0.43/0.69 (step @p49 (= tptp.tpp @t128) :rule refl :args (@t128)) % 0.43/0.69 (step @p50 (= tptp.ntpp @t131) :rule refl :args (@t131)) % 0.43/0.69 (step @p51 :rule quant-merge-prenex :args ((= @t135 @t133))) % 0.43/0.69 (step @p52 :rule refl :args (@t190)) % 0.43/0.69 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t191)) % 0.43/0.69 (step @p54 :rule quant-miniscope-or :args ((= (forall @t56 @t192) @t191))) % 0.43/0.69 (step @p55 :rule trans :premises (@p54 @p53)) % 0.43/0.69 (step @p56 :rule beta-reduce :args ((= @t194 @t192))) % 0.43/0.69 (step @p57 :rule cong :premises (@p56) :args (@t195)) % 0.43/0.69 (step @p58 :rule trans :premises (@p57 @p55)) % 0.43/0.69 (step @p59 :rule beta-reduce :args ((= (_ @t197 @t193) @t195))) % 0.43/0.69 (step @p60 :rule trans :premises (@p59 @p58)) % 0.43/0.69 (step @p61 :rule quant-miniscope-or :args ((= (forall @t64 @t198) @t192))) % 0.43/0.69 (step @p62 :rule aci_norm :args ((= @t199 @t198))) % 0.43/0.69 (step @p63 :rule cong :premises (@p62) :args ((forall @t64 @t199))) % 0.43/0.69 (step @p64 :rule trans :premises (@p63 @p61)) % 0.43/0.69 (step @p65 :rule beta-reduce :args ((= @t201 @t190))) % 0.43/0.69 (step @p66 :rule refl :args (@t132)) % 0.43/0.69 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t202)) % 0.43/0.69 (step @p68 :rule cong :premises (@p67) :args (@t203)) % 0.43/0.69 (step @p69 :rule trans :premises (@p68 @p64)) % 0.43/0.69 (step @p70 :rule cong :premises (@p69) :args (@t204)) % 0.43/0.69 (step @p71 :rule beta-reduce :args ((= (_ @t206 @t200) @t204))) % 0.43/0.69 (step @p72 :rule trans :premises (@p71 @p70)) % 0.43/0.69 (step @p73 :rule aci_norm :args ((= @t209 @t188))) % 0.43/0.69 (step @p74 :rule cong :premises (@p73) :args (@t210)) % 0.43/0.69 (step @p75 :rule quant-merge-prenex :args ((= (forall @t21 @t211) @t210))) % 0.43/0.69 (step @p76 :rule quant-unused-vars :args ((= @t213 @t145))) % 0.43/0.69 (step @p77 :rule alpha_equiv :args (@t214 (@list @t146) @t216)) % 0.43/0.69 (step @p78 :rule quant-unused-vars :args ((= @t217 @t214))) % 0.43/0.69 (step @p79 :rule trans :premises (@p78 @p77)) % 0.43/0.69 (step @p80 :rule quant-unused-vars :args ((= @t218 @t151))) % 0.43/0.69 (step @p81 :rule alpha_equiv :args (@t219 (@list @t152) @t221)) % 0.43/0.69 (step @p82 :rule quant-unused-vars :args ((= @t222 @t219))) % 0.43/0.69 (step @p83 :rule trans :premises (@p82 @p81)) % 0.43/0.69 (step @p84 :rule nary_cong :premises (@p83 @p80 @p79 @p76) :args (@t223)) % 0.43/0.69 (step @p85 :rule quant-miniscope-and :args ((= @t224 @t223))) % 0.43/0.69 (step @p86 :rule trans :premises (@p85 @p84)) % 0.43/0.69 (step @p87 :rule alpha_equiv :args (@t225 (@list @t136) @t227)) % 0.43/0.69 (step @p88 :rule refl :args (@t159)) % 0.43/0.69 (step @p89 :rule refl :args (@t174)) % 0.43/0.69 (step @p90 :rule alpha_equiv :args (@t228 (@list @t139) @t230)) % 0.43/0.69 (step @p91 :rule refl :args (@t179)) % 0.43/0.69 (step 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@t456 @t460))) % 0.43/0.69 (assume-push @p587 @t372) % 0.43/0.69 (step @p551 :rule instantiate :premises (@p587) :args (@t434)) % 0.43/0.69 (step-pop @p588 :rule scope :premises (@p551)) % 0.43/0.69 (step @p552 :rule process_scope :premises (@p588) :args (@t463)) % 0.43/0.69 (step @p554 :rule implies_elim :premises (@p552)) % 0.43/0.69 (step @p555 :rule chain_m_resolution :premises (@p554 @p549) :args (@t373 @t385 (@list @t463))) % 0.43/0.69 (step @p556 :rule bool-double-not-elim :args (@t365)) % 0.43/0.69 (step @p557 :rule refl :args (@t465)) % 0.43/0.69 (step @p558 :rule bool-double-not-elim :args (@t372)) % 0.43/0.69 (step @p559 :rule refl :args (@t466)) % 0.43/0.69 (step @p560 :rule refl :args (@t379)) % 0.43/0.69 (step @p561 :rule nary_cong :premises (@p560 @p559 @p558 @p557 @p556) :args ((or @t379 @t466 (not @t373) @t465 (not @t366)))) % 0.43/0.69 (step @p562 :rule cnf_and_neg :args (@t379)) % 0.43/0.69 (step @p563 :rule eq_resolve :premises (@p562 @p561)) % 0.43/0.69 (step @p564 :rule reordering :premises (@p563) :args ((or @t372 @t365 @t379 @t466 @t465))) % 0.43/0.69 (step @p565 :rule chain_m_resolution :premises (@p564 @p555 @p491 @p465 @p463) :args (@t466 (@list true true true false) (@list @t372 @t365 @t379 @t371))) % 0.43/0.69 (step @p566 :rule cnf_or_neg :args (@t378 1)) % 0.43/0.69 (step @p567 :rule chain_m_resolution :premises (@p566 @p565) :args ((not @t375) @t385 @t467)) % 0.43/0.69 (step @p568 :rule cnf_and_pos :args (@t438 1)) % 0.43/0.69 (step @p569 :rule reordering :premises (@p568) :args ((or @t436 @t453))) % 0.43/0.69 (step @p570 :rule chain_m_resolution :premises (@p569 @p530) :args (@t436 @t411 @t454)) % 0.43/0.69 (step @p571 :rule instantiate :premises (@p570) :args (@t387)) % 0.43/0.69 (step @p572 :rule bool-double-not-elim :args (@t376)) % 0.43/0.69 (step @p573 :rule refl :args (@t378)) % 0.43/0.69 (step @p574 :rule nary_cong :premises (@p573 @p572) :args ((or @t378 (not @t377)))) % 0.43/0.69 (step @p575 :rule cnf_or_neg :args (@t378 0)) % 0.43/0.69 (step @p576 :rule eq_resolve :premises (@p575 @p574)) % 0.43/0.69 (step @p577 :rule reordering :premises (@p576) :args ((or @t376 @t378))) % 0.43/0.69 (step @p578 :rule chain_m_resolution :premises (@p577 @p565) :args (@t376 @t385 @t467)) % 0.43/0.69 (step @p579 :rule cnf_or_pos :args (@t469)) % 0.43/0.69 (step @p580 :rule reordering :premises (@p579) :args ((or @t377 @t468 (not @t469)))) % 0.43/0.69 (step @p581 :rule chain_m_resolution :premises (@p580 @p578 @p571) :args (@t468 @t427 (@list @t376 @t469))) % 0.43/0.69 (step @p582 :rule cnf_or_pos :args (@t471)) % 0.43/0.69 (step @p583 :rule reordering :premises (@p582) :args ((or @t375 @t470 (not @t471)))) % 0.43/0.69 (step @p584 false :rule chain_m_resolution :premises (@p583 @p581 @p567 @p395) :args (false (@list false true false) (@list @t468 @t375 @t471))) % 0.43/0.69 ) % 0.43/0.69 % SZS output end Proof % 0.43/0.69 % cvc5 exiting %------------------------------------------------------------------------------