%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG009^1 : 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 : n018.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 0.64s 0.80s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG009^1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 23:02:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.64/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.64/0.80 % SZS status Theorem % 0.64/0.80 % SZS output start Proof % 0.64/0.80 ( % 0.64/0.80 (declare-sort tptp.reg 0) % 0.64/0.80 (declare-sort $$unsorted 0) % 0.64/0.80 (declare-sort tptp.mu 0) % 0.64/0.80 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 0.64/0.80 (declare-const tptp.france tptp.reg) % 0.64/0.80 (declare-const tptp.catalunya tptp.reg) % 0.64/0.80 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 0.64/0.80 (declare-const tptp.spain tptp.reg) % 0.64/0.80 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 0.64/0.80 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.64/0.80 (declare-const tptp.paris tptp.reg) % 0.64/0.80 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.64/0.80 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.64/0.81 (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)))))) % 0.64/0.81 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.64/0.81 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.64/0.81 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.64/0.81 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.64/0.81 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.64/0.81 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.64/0.81 (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))))))) % 0.64/0.81 (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))))))) % 0.64/0.81 (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)))))) % 0.64/0.81 (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)))))) % 0.64/0.81 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.64/0.81 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.64/0.81 (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)))))) % 0.64/0.81 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.64/0.81 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.64/0.81 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.64/0.81 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.64/0.81 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.64/0.81 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.64/0.81 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.64/0.81 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.64/0.81 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.64/0.81 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.64/0.81 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.64/0.81 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.64/0.81 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.64/0.81 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.64/0.81 (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)))))) % 0.64/0.81 (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))))))))) % 0.64/0.81 (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)))))) % 0.64/0.81 (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))))))))) % 0.64/0.81 (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))))))) % 0.64/0.81 (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))))))) % 0.64/0.81 (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))))))) % 0.64/0.81 (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)))))))))) % 0.64/0.81 (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))))))))))) % 0.64/0.81 (define @t1 () (@var "X" tptp.reg)) % 0.64/0.81 (define @t2 () (_ tptp.c @t1)) % 0.64/0.81 (define @t3 () (_ @t2 @t1)) % 0.64/0.81 (define @t4 () (@list @t1)) % 0.64/0.81 (define @t5 () (forall @t4 @t3)) % 0.64/0.81 (define @t6 () (@var "Y" tptp.reg)) % 0.64/0.81 (define @t7 () (_ (_ tptp.c @t6) @t1)) % 0.64/0.81 (define @t8 () (_ @t2 @t6)) % 0.64/0.81 (define @t9 () (@list @t1 @t6)) % 0.64/0.81 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.64/0.81 (define @t11 () (@var "__flatten_var_0" $$unsorted)) % 0.64/0.81 (define @t12 () (@var "A" (-> $$unsorted Bool))) % 0.64/0.81 (define @t13 () (_ tptp.mbox tptp.fool)) % 0.64/0.81 (define @t14 () (_ @t13 @t12)) % 0.64/0.81 (define @t15 () (_ tptp.mimplies @t14)) % 0.64/0.81 (define @t16 () (@list @t12 @t11)) % 0.64/0.81 (define @t17 () (@var "Phi" (-> $$unsorted Bool))) % 0.64/0.81 (define @t18 () (_ tptp.mbox tptp.a)) % 0.64/0.81 (define @t19 () (@list (@var "X" $$unsorted))) % 0.64/0.81 (define @t20 () (lambda @t19 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))) % 0.64/0.81 (define @t21 () (lambda @t19 (_ (_ tptp.ntpp tptp.paris) tptp.france))) % 0.64/0.81 (define @t22 () (@var "Z" tptp.reg)) % 0.64/0.81 (define @t23 () (not (_ (_ tptp.eq @t22) tptp.spain))) % 0.64/0.81 (define @t24 () (not (_ (_ tptp.o @t22) tptp.paris))) % 0.64/0.81 (define @t25 () (and @t24 @t23)) % 0.64/0.81 (define @t26 () (@list @t22)) % 0.64/0.81 (define @t27 () (exists @t26 @t25)) % 0.64/0.81 (define @t28 () (lambda @t19 @t27)) % 0.64/0.81 (define @t29 () (not (_ tptp.mvalid (_ @t18 @t28)))) % 0.64/0.81 (define @t30 () (@var "Y" tptp.mu)) % 0.64/0.81 (define @t31 () (@var "X" tptp.mu)) % 0.64/0.81 (define @t32 () (@var "W" $$unsorted)) % 0.64/0.81 (define @t33 () (lambda (@list @t31 @t30 @t32) (= @t31 @t30))) % 0.64/0.81 (define @t34 () (@var "Y" (-> $$unsorted Bool))) % 0.64/0.81 (define @t35 () (@var "X" (-> $$unsorted Bool))) % 0.64/0.81 (define @t36 () (lambda (@list @t35 @t34 @t32) (= (_ @t35 @t32) (_ @t34 @t32)))) % 0.64/0.81 (define @t37 () (_ @t17 @t32)) % 0.64/0.81 (define @t38 () (not @t37)) % 0.64/0.81 (define @t39 () (@list @t17 @t32)) % 0.64/0.81 (define @t40 () (lambda @t39 @t38)) % 0.64/0.81 (define @t41 () (@var "Psi" (-> $$unsorted Bool))) % 0.64/0.81 (define @t42 () (lambda (@list @t17 @t41 @t32) (or @t37 (_ @t41 @t32)))) % 0.64/0.81 (define @t43 () (_ tptp.mnot @t41)) % 0.64/0.81 (define @t44 () (_ tptp.mnot @t17)) % 0.64/0.81 (define @t45 () (_ tptp.mor @t44)) % 0.64/0.81 (define @t46 () (@list @t17 @t41 @t11)) % 0.64/0.81 (define @t47 () (lambda @t46 (_ (_ tptp.mnot (_ @t45 @t43)) @t11))) % 0.64/0.81 (define @t48 () (lambda @t46 (_ (_ @t45 @t41) @t11))) % 0.64/0.81 (define @t49 () (lambda @t46 (_ (_ (_ tptp.mor @t43) @t17) @t11))) % 0.64/0.81 (define @t50 () (lambda @t46 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t17) @t41)) (_ (_ tptp.mimplies @t41) @t17)) @t11))) % 0.64/0.81 (define @t51 () (lambda @t46 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t17) @t41)) @t11))) % 0.64/0.81 (define @t52 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.64/0.81 (define @t53 () (_ @t52 @t31)) % 0.64/0.81 (define @t54 () (lambda (@list @t52 @t32) (forall (@list @t31) (_ @t53 @t32)))) % 0.64/0.81 (define @t55 () (@var "P" (-> $$unsorted Bool))) % 0.64/0.81 (define @t56 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.64/0.81 (define @t57 () (_ @t56 @t55)) % 0.64/0.81 (define @t58 () (lambda (@list @t56 @t32) (forall (@list @t55) (_ @t57 @t32)))) % 0.64/0.81 (define @t59 () (lambda (@list @t52 @t11) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t31 @t11) (_ (_ tptp.mnot @t53) @t11)))) @t11))) % 0.64/0.81 (define @t60 () (lambda (@list @t56 @t11) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t55 @t11) (_ (_ tptp.mnot @t57) @t11)))) @t11))) % 0.64/0.81 (define @t61 () (@list @t32)) % 0.64/0.81 (define @t62 () (lambda @t61 true)) % 0.64/0.81 (define @t63 () (@var "V" $$unsorted)) % 0.64/0.81 (define @t64 () (_ @t17 @t63)) % 0.64/0.81 (define @t65 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.64/0.81 (define @t66 () (_ (_ @t65 @t32) @t63)) % 0.64/0.81 (define @t67 () (not @t66)) % 0.64/0.81 (define @t68 () (or @t67 @t64)) % 0.64/0.81 (define @t69 () (@list @t63)) % 0.64/0.81 (define @t70 () (forall @t69 @t68)) % 0.64/0.81 (define @t71 () (@list @t65 @t17 @t32)) % 0.64/0.81 (define @t72 () (lambda @t71 @t70)) % 0.64/0.81 (define @t73 () (lambda (@list @t65 @t17 @t11) (_ (_ tptp.mnot (_ (_ tptp.mbox @t65) @t44)) @t11))) % 0.64/0.81 (define @t74 () (@var "S" $$unsorted)) % 0.64/0.81 (define @t75 () (_ @t65 @t74)) % 0.64/0.81 (define @t76 () (@list @t74)) % 0.64/0.81 (define @t77 () (@list @t65)) % 0.64/0.81 (define @t78 () (lambda @t77 (forall @t76 (_ @t75 @t74)))) % 0.64/0.81 (define @t79 () (@var "T" $$unsorted)) % 0.64/0.81 (define @t80 () (_ @t65 @t79)) % 0.64/0.81 (define @t81 () (_ @t75 @t79)) % 0.64/0.81 (define @t82 () (lambda @t77 (forall (@list @t74 @t79) (=> @t81 (_ @t80 @t74))))) % 0.64/0.81 (define @t83 () (@list @t79)) % 0.64/0.81 (define @t84 () (lambda @t77 (forall @t76 (exists @t83 @t81)))) % 0.64/0.81 (define @t85 () (@var "U" $$unsorted)) % 0.64/0.81 (define @t86 () (_ @t75 @t85)) % 0.64/0.81 (define @t87 () (_ @t80 @t85)) % 0.64/0.81 (define @t88 () (@list @t74 @t79 @t85)) % 0.64/0.81 (define @t89 () (lambda @t77 (forall @t88 (=> (and @t81 @t87) @t86)))) % 0.64/0.81 (define @t90 () (and @t81 @t86)) % 0.64/0.81 (define @t91 () (lambda @t77 (forall @t88 (=> @t90 @t87)))) % 0.64/0.81 (define @t92 () (= @t79 @t85)) % 0.64/0.81 (define @t93 () (lambda @t77 (forall @t88 (=> @t90 @t92)))) % 0.64/0.81 (define @t94 () (@list @t85)) % 0.64/0.81 (define @t95 () (lambda @t77 (forall @t76 (exists @t83 (and @t81 (forall @t94 (=> @t86 @t92))))))) % 0.64/0.81 (define @t96 () (_ @t65 @t85)) % 0.64/0.81 (define @t97 () (_ @t96 @t79)) % 0.64/0.81 (define @t98 () (lambda @t77 (forall @t88 (=> @t81 (exists @t94 (and @t86 @t97)))))) % 0.64/0.81 (define @t99 () (lambda @t77 (forall @t88 (=> @t90 (or @t87 @t92 @t97))))) % 0.64/0.81 (define @t100 () (lambda @t77 (forall @t88 (=> @t90 (exists @t69 (and (_ @t80 @t63) (_ @t96 @t63))))))) % 0.64/0.81 (define @t101 () (forall @t61 @t37)) % 0.64/0.81 (define @t102 () (@list @t17)) % 0.64/0.81 (define @t103 () (lambda @t102 @t101)) % 0.64/0.81 (define @t104 () (lambda @t102 (forall @t61 @t38))) % 0.64/0.81 (define @t105 () (lambda @t102 (exists @t61 @t37))) % 0.64/0.81 (define @t106 () (lambda @t102 (exists @t61 @t38))) % 0.64/0.81 (define @t107 () (not @t8)) % 0.64/0.81 (define @t108 () (lambda @t9 @t107)) % 0.64/0.81 (define @t109 () (_ tptp.c @t22)) % 0.64/0.81 (define @t110 () (_ @t109 @t6)) % 0.64/0.81 (define @t111 () (_ @t109 @t1)) % 0.64/0.81 (define @t112 () (forall @t26 (=> @t111 @t110))) % 0.64/0.81 (define @t113 () (lambda @t9 @t112)) % 0.64/0.81 (define @t114 () (_ (_ tptp.p @t6) @t1)) % 0.64/0.81 (define @t115 () (_ (_ tptp.p @t1) @t6)) % 0.64/0.81 (define @t116 () (and @t115 @t114)) % 0.64/0.81 (define @t117 () (lambda @t9 @t116)) % 0.64/0.81 (define @t118 () (_ tptp.p @t22)) % 0.64/0.81 (define @t119 () (and (_ @t118 @t1) (_ @t118 @t6))) % 0.64/0.81 (define @t120 () (exists @t26 @t119)) % 0.64/0.81 (define @t121 () (lambda @t9 @t120)) % 0.64/0.81 (define @t122 () (not @t114)) % 0.64/0.81 (define @t123 () (_ (_ tptp.o @t1) @t6)) % 0.64/0.81 (define @t124 () (lambda @t9 (and @t123 (not @t115) @t122))) % 0.64/0.81 (define @t125 () (not @t123)) % 0.64/0.81 (define @t126 () (and @t8 @t125)) % 0.64/0.81 (define @t127 () (lambda @t9 @t126)) % 0.64/0.81 (define @t128 () (and @t115 @t122)) % 0.64/0.81 (define @t129 () (lambda @t9 @t128)) % 0.64/0.81 (define @t130 () (_ tptp.ec @t22)) % 0.64/0.81 (define @t131 () (and (_ @t130 @t1) (_ @t130 @t6))) % 0.64/0.81 (define @t132 () (exists @t26 @t131)) % 0.64/0.81 (define @t133 () (_ (_ tptp.pp @t1) @t6)) % 0.64/0.81 (define @t134 () (and @t133 @t132)) % 0.64/0.81 (define @t135 () (lambda @t9 @t134)) % 0.64/0.81 (define @t136 () (not @t132)) % 0.64/0.81 (define @t137 () (and @t133 @t136)) % 0.64/0.81 (define @t138 () (lambda @t9 @t137)) % 0.64/0.81 (define @t139 () (tptp.c @t1 @t1)) % 0.64/0.81 (define @t140 () (not (tptp.a @t32 @t63))) % 0.64/0.81 (define @t141 () (forall (@list @t32 @t63) @t140)) % 0.64/0.81 (define @t142 () (forall @t69 @t140)) % 0.64/0.81 (define @t143 () (forall @t61 @t142)) % 0.64/0.81 (define @t144 () (@var "BOUND_VARIABLE_9185" tptp.reg)) % 0.64/0.81 (define @t145 () (or (not (tptp.c @t144 tptp.spain)) (tptp.c @t144 @t22))) % 0.64/0.81 (define @t146 () (@var "BOUND_VARIABLE_9179" tptp.reg)) % 0.64/0.81 (define @t147 () (or (not (tptp.c @t146 @t22)) (tptp.c @t146 tptp.spain))) % 0.64/0.81 (define @t148 () (and @t147 @t145)) % 0.64/0.81 (define @t149 () (@var "BOUND_VARIABLE_8327" tptp.reg)) % 0.64/0.81 (define @t150 () (tptp.c @t149 tptp.paris)) % 0.64/0.81 (define @t151 () (@var "BOUND_VARIABLE_9100" tptp.reg)) % 0.64/0.81 (define @t152 () (not (tptp.c @t149 @t151))) % 0.64/0.81 (define @t153 () (@list @t149)) % 0.64/0.81 (define @t154 () (not (forall @t153 (or @t152 @t150)))) % 0.64/0.81 (define @t155 () (tptp.c @t149 @t22)) % 0.64/0.81 (define @t156 () (not (forall @t153 (or @t152 @t155)))) % 0.64/0.81 (define @t157 () (@list @t151)) % 0.64/0.81 (define @t158 () (forall @t157 (or @t156 @t154))) % 0.64/0.81 (define @t159 () (not @t158)) % 0.64/0.81 (define @t160 () (or @t159 @t148)) % 0.64/0.81 (define @t161 () (forall (@list @t22 @t146 @t144) @t160)) % 0.64/0.81 (define @t162 () (not @t161)) % 0.64/0.81 (define @t163 () (or @t162 @t143)) % 0.64/0.81 (define @t164 () (or @t162 @t142)) % 0.64/0.81 (define @t165 () (lambda @t61 @t164)) % 0.64/0.81 (define @t166 () (_ @t165 @t32)) % 0.64/0.81 (define @t167 () (forall @t61 @t166)) % 0.64/0.81 (define @t168 () (_ @t17 @t32)) % 0.64/0.81 (define @t169 () (lambda @t102 (forall @t61 @t168))) % 0.64/0.81 (define @t170 () (or @t162 @t140)) % 0.64/0.81 (define @t171 () (or @t140 @t162)) % 0.64/0.81 (define @t172 () (lambda @t19 @t162)) % 0.64/0.81 (define @t173 () (_ @t172 @t63)) % 0.64/0.81 (define @t174 () (or @t140 @t173)) % 0.64/0.81 (define @t175 () (forall @t69 @t174)) % 0.64/0.81 (define @t176 () (lambda @t61 @t175)) % 0.64/0.81 (define @t177 () (_ @t17 @t63)) % 0.64/0.81 (define @t178 () (lambda @t39 (forall @t69 (or @t140 @t177)))) % 0.64/0.81 (define @t179 () (@list @t146 @t144)) % 0.64/0.81 (define @t180 () (forall @t179 @t160)) % 0.64/0.81 (define @t181 () (forall (@list @t144) @t145)) % 0.64/0.81 (define @t182 () (@var "BOUND_VARIABLE_9133" tptp.reg)) % 0.64/0.81 (define @t183 () (@list @t182)) % 0.64/0.81 (define @t184 () (forall @t179 @t145)) % 0.64/0.81 (define @t185 () (forall (@list @t146) @t147)) % 0.64/0.81 (define @t186 () (@var "BOUND_VARIABLE_9141" tptp.reg)) % 0.64/0.81 (define @t187 () (@list @t186)) % 0.64/0.81 (define @t188 () (forall @t179 @t147)) % 0.64/0.81 (define @t189 () (and @t188 @t184)) % 0.64/0.81 (define @t190 () (forall @t179 @t148)) % 0.64/0.81 (define @t191 () (or @t159 @t190)) % 0.64/0.81 (define @t192 () (tptp.c @t182 @t22)) % 0.64/0.81 (define @t193 () (@list @t182)) % 0.64/0.81 (define @t194 () (not (tptp.c @t186 @t22))) % 0.64/0.81 (define @t195 () (@list @t186)) % 0.64/0.81 (define @t196 () (and (forall @t195 (or @t194 (tptp.c @t186 tptp.spain))) (forall @t193 (or (not (tptp.c @t182 tptp.spain)) @t192)))) % 0.64/0.81 (define @t197 () (not @t196)) % 0.64/0.81 (define @t198 () (and @t158 @t197)) % 0.64/0.81 (define @t199 () (forall @t26 (not @t198))) % 0.64/0.81 (define @t200 () (not @t199)) % 0.64/0.81 (define @t201 () (not (tptp.c @t182 @t6))) % 0.64/0.81 (define @t202 () (tptp.c @t186 @t6)) % 0.64/0.81 (define @t203 () (@list @t6)) % 0.64/0.81 (define @t204 () (lambda @t203 (and (forall @t195 (or @t194 @t202)) (forall @t193 (or @t201 @t192))))) % 0.64/0.81 (define @t205 () (tptp.c @t22 @t1)) % 0.64/0.81 (define @t206 () (tptp.c @t22 @t6)) % 0.64/0.81 (define @t207 () (not @t206)) % 0.64/0.81 (define @t208 () (forall @t26 (or @t207 @t205))) % 0.64/0.81 (define @t209 () (@list @t22)) % 0.64/0.81 (define @t210 () (not @t205)) % 0.64/0.81 (define @t211 () (forall @t26 (or @t210 @t206))) % 0.64/0.81 (define @t212 () (and @t211 @t208)) % 0.64/0.81 (define @t213 () (lambda @t9 @t212)) % 0.64/0.81 (define @t214 () (not (_ (_ @t213 @t22) tptp.spain))) % 0.64/0.81 (define @t215 () (tptp.c @t149 @t6)) % 0.64/0.81 (define @t216 () (not (forall @t153 (or @t152 @t215)))) % 0.64/0.81 (define @t217 () (lambda @t203 (not (forall @t157 (or @t156 @t216))))) % 0.64/0.81 (define @t218 () (tptp.c @t149 @t1)) % 0.64/0.81 (define @t219 () (not @t155)) % 0.64/0.81 (define @t220 () (forall @t153 (or @t219 @t215))) % 0.64/0.81 (define @t221 () (forall @t153 (or @t219 @t218))) % 0.64/0.81 (define @t222 () (forall @t26 (or (not @t221) (not @t220)))) % 0.64/0.81 (define @t223 () (not @t222)) % 0.64/0.81 (define @t224 () (lambda @t9 @t223)) % 0.64/0.81 (define @t225 () (not (_ (_ @t224 @t22) tptp.paris))) % 0.64/0.81 (define @t226 () (and @t225 @t214)) % 0.64/0.81 (define @t227 () (exists @t26 @t226)) % 0.64/0.81 (define @t228 () (lambda @t19 @t227)) % 0.64/0.81 (define @t229 () (_ @t65 @t32 @t63)) % 0.64/0.81 (define @t230 () (_ (lambda @t71 (forall @t69 (or (not @t229) @t177))) tptp.a)) % 0.64/0.81 (define @t231 () (@var "BOUND_VARIABLE_8289" tptp.reg)) % 0.64/0.81 (define @t232 () (tptp.c @t22 @t231)) % 0.64/0.81 (define @t233 () (lambda (@list @t231) (forall @t26 (or @t207 @t232)))) % 0.64/0.81 (define @t234 () (lambda @t9 @t211)) % 0.64/0.81 (define @t235 () (lambda @t203 @t211)) % 0.64/0.81 (define @t236 () (_ @t234 @t1)) % 0.64/0.81 (define @t237 () (_ (_ @t234 @t6) @t1)) % 0.64/0.81 (define @t238 () (_ @t236 @t6)) % 0.64/0.81 (define @t239 () (not @t111)) % 0.64/0.81 (define @t240 () (or @t239 @t110)) % 0.64/0.81 (define @t241 () (and @t221 @t220)) % 0.64/0.81 (define @t242 () (forall @t26 (not @t241))) % 0.64/0.81 (define @t243 () (not @t242)) % 0.64/0.81 (define @t244 () (lambda @t203 @t220)) % 0.64/0.81 (define @t245 () (_ @t234 @t22)) % 0.64/0.81 (define @t246 () (and (_ @t245 @t1) (_ @t245 @t6))) % 0.64/0.81 (define @t247 () (@var "BOUND_VARIABLE_8440" tptp.reg)) % 0.64/0.81 (define @t248 () (not (tptp.c @t149 @t247))) % 0.64/0.81 (define @t249 () (not (forall @t153 (or @t248 @t155)))) % 0.64/0.81 (define @t250 () (@list @t247)) % 0.64/0.81 (define @t251 () (tptp.c @t22 tptp.spain)) % 0.64/0.81 (define @t252 () (not @t251)) % 0.64/0.81 (define @t253 () (tptp.c @t149 tptp.catalunya)) % 0.64/0.81 (define @t254 () (not (forall @t250 (or @t249 (not (forall @t153 (or @t248 @t253))))))) % 0.64/0.81 (define @t255 () (tptp.c @t22 tptp.catalunya)) % 0.64/0.81 (define @t256 () (not @t255)) % 0.64/0.81 (define @t257 () (forall @t26 (or @t256 @t254 @t252 (not (forall @t250 (or @t249 (not (forall @t153 (or @t248 (tptp.c @t149 tptp.spain)))))))))) % 0.64/0.81 (define @t258 () (@quantifiers_skolemize @t257 0)) % 0.64/0.81 (define @t259 () (tptp.c @t22 tptp.paris)) % 0.64/0.81 (define @t260 () (tptp.c @t22 tptp.france)) % 0.64/0.81 (define @t261 () (not @t260)) % 0.64/0.81 (define @t262 () (forall @t26 (or @t261 @t259))) % 0.64/0.81 (define @t263 () (@quantifiers_skolemize @t262 0)) % 0.64/0.81 (define @t264 () (forall @t26 (or @t252 @t255))) % 0.64/0.81 (define @t265 () (not @t264)) % 0.64/0.81 (define @t266 () (forall @t26 (or @t256 @t251))) % 0.64/0.81 (define @t267 () (and (not @t257) @t266 @t265)) % 0.64/0.81 (define @t268 () (or @t267 @t143)) % 0.64/0.81 (define @t269 () (or @t267 @t142)) % 0.64/0.81 (define @t270 () (lambda @t61 @t269)) % 0.64/0.81 (define @t271 () (_ @t270 @t32)) % 0.64/0.81 (define @t272 () (forall @t61 @t271)) % 0.64/0.81 (define @t273 () (or @t267 @t140)) % 0.64/0.81 (define @t274 () (or @t140 @t267)) % 0.64/0.81 (define @t275 () (lambda @t19 @t267)) % 0.64/0.81 (define @t276 () (_ @t275 @t63)) % 0.64/0.81 (define @t277 () (or @t140 @t276)) % 0.64/0.81 (define @t278 () (forall @t69 @t277)) % 0.64/0.81 (define @t279 () (lambda @t61 @t278)) % 0.64/0.81 (define @t280 () (not (forall @t153 (or @t248 @t215)))) % 0.64/0.81 (define @t281 () (forall @t250 (or @t249 @t280))) % 0.64/0.81 (define @t282 () (not @t281)) % 0.64/0.81 (define @t283 () (lambda @t203 (and (not (forall @t26 (or @t256 @t254 @t207 @t282))) (forall @t26 (or @t256 @t206)) (not (forall @t26 (or @t207 @t255)))))) % 0.64/0.81 (define @t284 () (not @t208)) % 0.64/0.81 (define @t285 () (not (forall @t153 (or @t248 @t218)))) % 0.64/0.81 (define @t286 () (forall @t250 (or @t249 @t285))) % 0.64/0.81 (define @t287 () (not @t286)) % 0.64/0.81 (define @t288 () (forall @t26 (or @t210 @t287 @t207 @t282))) % 0.64/0.81 (define @t289 () (not @t288)) % 0.64/0.81 (define @t290 () (and @t289 @t211 @t284)) % 0.64/0.81 (define @t291 () (_ (lambda @t9 @t290) tptp.catalunya)) % 0.64/0.81 (define @t292 () (and @t211 @t284)) % 0.64/0.81 (define @t293 () (not @t110)) % 0.64/0.81 (define @t294 () (or @t239 @t287 @t293 @t282)) % 0.64/0.81 (define @t295 () (and @t110 @t281)) % 0.64/0.81 (define @t296 () (and @t111 @t286 @t110 @t281)) % 0.64/0.81 (define @t297 () (forall @t26 (not @t296))) % 0.64/0.81 (define @t298 () (not @t297)) % 0.64/0.81 (define @t299 () (and @t111 @t286)) % 0.64/0.81 (define @t300 () (lambda @t203 @t295)) % 0.64/0.81 (define @t301 () (and @t8 @t222)) % 0.64/0.81 (define @t302 () (lambda @t9 @t301)) % 0.64/0.81 (define @t303 () (_ @t302 @t22)) % 0.64/0.81 (define @t304 () (and (_ @t303 @t1) (_ @t303 @t6))) % 0.64/0.81 (define @t305 () (exists @t26 @t304)) % 0.64/0.81 (define @t306 () (lambda @t203 @t292)) % 0.64/0.81 (define @t307 () (_ (lambda @t9 @t292) @t1)) % 0.64/0.81 (define @t308 () (_ @t307 @t6)) % 0.64/0.81 (define @t309 () (lambda @t203 @t223)) % 0.64/0.81 (define @t310 () (_ @t224 @t1)) % 0.64/0.81 (define @t311 () (not (_ @t310 @t6))) % 0.64/0.81 (define @t312 () (not @t237)) % 0.64/0.81 (define @t313 () (@list true)) % 0.64/0.81 (define @t314 () (@list @t141)) % 0.64/0.81 (define @t315 () (not @t267)) % 0.64/0.81 (define @t316 () (@list false)) % 0.64/0.81 (define @t317 () (@list @t267)) % 0.64/0.81 (define @t318 () (tptp.c @t6 @t1)) % 0.64/0.81 (define @t319 () (tptp.c @t1 @t6)) % 0.64/0.81 (define @t320 () (or @t107 @t7)) % 0.64/0.81 (define @t321 () (@quantifiers_skolemize @t264 0)) % 0.64/0.81 (define @t322 () (or (not (tptp.c @t321 tptp.spain)) (tptp.c @t321 tptp.catalunya))) % 0.64/0.81 (define @t323 () (tptp.c @t258 tptp.spain)) % 0.64/0.81 (define @t324 () (and (or (not (tptp.c @t258 tptp.catalunya)) @t323) @t322)) % 0.64/0.81 (define @t325 () (not @t324)) % 0.64/0.81 (define @t326 () (forall @t157 (or (not (forall @t153 (or @t152 @t253))) @t154))) % 0.64/0.81 (define @t327 () (not @t326)) % 0.64/0.81 (define @t328 () (or @t327 @t324)) % 0.64/0.81 (define @t329 () (@list true false)) % 0.64/0.81 (define @t330 () (@quantifiers_skolemize @t326 0)) % 0.64/0.81 (define @t331 () (not (tptp.c @t149 @t330))) % 0.64/0.81 (define @t332 () (forall @t153 (or @t331 @t150))) % 0.64/0.81 (define @t333 () (not @t332)) % 0.64/0.81 (define @t334 () (forall @t153 (or @t331 @t253))) % 0.64/0.81 (define @t335 () (not @t334)) % 0.64/0.81 (define @t336 () (or @t335 @t333)) % 0.64/0.81 (define @t337 () (@list @t336)) % 0.64/0.81 (define @t338 () (@list @t330)) % 0.64/0.81 (define @t339 () (tptp.c @t330 tptp.catalunya)) % 0.64/0.81 (define @t340 () (tptp.c @t330 @t330)) % 0.64/0.81 (define @t341 () (not @t340)) % 0.64/0.81 (define @t342 () (or @t341 @t339)) % 0.64/0.81 (define @t343 () (@list false false)) % 0.64/0.81 (define @t344 () (tptp.c tptp.catalunya @t330)) % 0.64/0.81 (define @t345 () (not @t339)) % 0.64/0.81 (define @t346 () (or @t345 @t344)) % 0.64/0.81 (define @t347 () (tptp.c tptp.catalunya tptp.paris)) % 0.64/0.81 (define @t348 () (not @t344)) % 0.64/0.81 (define @t349 () (or @t348 @t347)) % 0.64/0.81 (define @t350 () (tptp.c tptp.paris tptp.catalunya)) % 0.64/0.81 (define @t351 () (not @t347)) % 0.64/0.81 (define @t352 () (or @t351 @t350)) % 0.64/0.81 (define @t353 () (tptp.c tptp.paris tptp.spain)) % 0.64/0.81 (define @t354 () (not @t350)) % 0.64/0.81 (define @t355 () (or @t354 @t353)) % 0.64/0.81 (define @t356 () (not @t262)) % 0.64/0.81 (define @t357 () (not @t259)) % 0.64/0.81 (define @t358 () (not (forall @t250 (or @t249 (not (forall @t153 (or @t248 @t150))))))) % 0.64/0.81 (define @t359 () (and (forall @t26 (or @t357 @t358 @t261 (not (forall @t250 (or @t249 (not (forall @t153 (or @t248 (tptp.c @t149 tptp.france))))))))) (forall @t26 (or @t357 @t260)) @t356)) % 0.64/0.81 (define @t360 () (or @t359 @t143)) % 0.64/0.81 (define @t361 () (or @t359 @t142)) % 0.64/0.81 (define @t362 () (lambda @t61 @t361)) % 0.64/0.81 (define @t363 () (_ @t362 @t32)) % 0.64/0.81 (define @t364 () (forall @t61 @t363)) % 0.64/0.81 (define @t365 () (or @t359 @t140)) % 0.64/0.81 (define @t366 () (or @t140 @t359)) % 0.64/0.81 (define @t367 () (lambda @t19 @t359)) % 0.64/0.81 (define @t368 () (_ @t367 @t63)) % 0.64/0.81 (define @t369 () (or @t140 @t368)) % 0.64/0.81 (define @t370 () (forall @t69 @t369)) % 0.64/0.81 (define @t371 () (lambda @t61 @t370)) % 0.64/0.81 (define @t372 () (lambda @t203 (and (forall @t26 (or @t357 @t358 @t207 @t282)) (forall @t26 (or @t357 @t206)) (not (forall @t26 (or @t207 @t259)))))) % 0.64/0.81 (define @t373 () (and @t288 @t211 @t284)) % 0.64/0.81 (define @t374 () (_ (lambda @t9 @t373) tptp.paris)) % 0.64/0.81 (define @t375 () (not @t305)) % 0.64/0.81 (define @t376 () (tptp.c @t263 tptp.paris)) % 0.64/0.81 (define @t377 () (or (not (tptp.c @t263 tptp.france)) @t376)) % 0.64/0.81 (define @t378 () (tptp.c tptp.paris @t263)) % 0.64/0.81 (define @t379 () (not @t378)) % 0.64/0.81 (define @t380 () (or @t379 @t376)) % 0.64/0.81 (define @t381 () (not @t353)) % 0.64/0.81 (define @t382 () (or @t381 @t378)) % 0.64/0.81 (define @t383 () (not @t382)) % 0.64/0.81 (define @t384 () (and (or (not (tptp.c @t258 @t263)) @t323) @t382)) % 0.64/0.81 (define @t385 () (not @t384)) % 0.64/0.81 (define @t386 () (tptp.c @t149 @t263)) % 0.64/0.81 (define @t387 () (forall @t157 (or (not (forall @t153 (or @t152 @t386))) @t154))) % 0.64/0.81 (define @t388 () (not @t387)) % 0.64/0.81 (define @t389 () (or @t388 @t384)) % 0.64/0.81 (define @t390 () (@quantifiers_skolemize @t387 0)) % 0.64/0.81 (define @t391 () (not (tptp.c @t149 @t390))) % 0.64/0.81 (define @t392 () (forall @t153 (or @t391 @t386))) % 0.64/0.81 (define @t393 () (forall @t153 (or @t391 @t150))) % 0.64/0.81 (define @t394 () (not @t393)) % 0.64/0.81 (define @t395 () (not @t392)) % 0.64/0.81 (define @t396 () (or @t395 @t394)) % 0.64/0.81 (define @t397 () (@list @t396)) % 0.64/0.81 (define @t398 () (@list @t390)) % 0.64/0.81 (define @t399 () (tptp.c @t263 @t390)) % 0.64/0.81 (define @t400 () (not @t399)) % 0.64/0.81 (define @t401 () (or @t400 @t376)) % 0.64/0.81 (define @t402 () (tptp.c @t390 @t263)) % 0.64/0.81 (define @t403 () (not @t402)) % 0.64/0.81 (define @t404 () (or @t403 @t399)) % 0.64/0.81 (define @t405 () (tptp.c @t390 @t390)) % 0.64/0.81 (define @t406 () (not @t405)) % 0.64/0.81 (define @t407 () (or @t406 @t402)) % 0.64/0.81 (define @t408 () (forall @t4 @t139)) % 0.64/0.81 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.64/0.81 (assume @p2 @t5) % 0.64/0.81 (assume @p3 @t10) % 0.64/0.81 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t16 (_ (_ @t15 @t12) @t11))))) % 0.64/0.81 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t16 (_ (_ @t15 (_ @t13 @t14)) @t11))))) % 0.64/0.81 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t17 @t11) (_ (_ (_ tptp.mimplies (_ @t13 @t17)) (_ @t18 @t17)) @t11))))) % 0.64/0.81 (assume @p7 (_ tptp.mvalid (_ @t18 @t20))) % 0.64/0.81 (assume @p8 (_ tptp.mvalid (_ @t13 (lambda @t19 (_ (_ tptp.ec tptp.spain) tptp.france))))) % 0.64/0.81 (assume @p9 (_ tptp.mvalid (_ @t18 @t21))) % 0.64/0.81 (assume @p10 @t29) % 0.64/0.81 (assume @p11 true) % 0.64/0.81 (step @p12 (= tptp.meq_ind @t33) :rule refl :args (@t33)) % 0.64/0.81 (step @p13 (= tptp.meq_prop @t36) :rule refl :args (@t36)) % 0.64/0.81 (step @p14 (= tptp.mnot @t40) :rule refl :args (@t40)) % 0.64/0.81 (step @p15 (= tptp.mor @t42) :rule refl :args (@t42)) % 0.64/0.81 (step @p16 (= tptp.mand @t47) :rule refl :args (@t47)) % 0.64/0.81 (step @p17 (= tptp.mimplies @t48) :rule refl :args (@t48)) % 0.64/0.81 (step @p18 (= tptp.mimplied @t49) :rule refl :args (@t49)) % 0.64/0.81 (step @p19 (= tptp.mequiv @t50) :rule refl :args (@t50)) % 0.64/0.81 (step @p20 (= tptp.mxor @t51) :rule refl :args (@t51)) % 0.64/0.81 (step @p21 (= tptp.mforall_ind @t54) :rule refl :args (@t54)) % 0.64/0.81 (step @p22 (= tptp.mforall_prop @t58) :rule refl :args (@t58)) % 0.64/0.81 (step @p23 (= tptp.mexists_ind @t59) :rule refl :args (@t59)) % 0.64/0.81 (step @p24 (= tptp.mexists_prop @t60) :rule refl :args (@t60)) % 0.64/0.81 (step @p25 (= tptp.mtrue @t62) :rule refl :args (@t62)) % 0.64/0.81 (step @p26 (= tptp.mbox @t72) :rule refl :args (@t72)) % 0.64/0.81 (step @p27 (= tptp.mdia @t73) :rule refl :args (@t73)) % 0.64/0.81 (step @p28 (= tptp.mreflexive @t78) :rule refl :args (@t78)) % 0.64/0.81 (step @p29 (= tptp.msymmetric @t82) :rule refl :args (@t82)) % 0.64/0.81 (step @p30 (= tptp.mserial @t84) :rule refl :args (@t84)) % 0.64/0.81 (step @p31 (= tptp.mtransitive @t89) :rule refl :args (@t89)) % 0.64/0.81 (step @p32 (= tptp.meuclidean @t91) :rule refl :args (@t91)) % 0.64/0.81 (step @p33 (= tptp.mpartially_functional @t93) :rule refl :args (@t93)) % 0.64/0.81 (step @p34 (= tptp.mfunctional @t95) :rule refl :args (@t95)) % 0.64/0.81 (step @p35 (= tptp.mweakly_dense @t98) :rule refl :args (@t98)) % 0.64/0.81 (step @p36 (= tptp.mweakly_connected @t99) :rule refl :args (@t99)) % 0.64/0.81 (step @p37 (= tptp.mweakly_directed @t100) :rule refl :args (@t100)) % 0.64/0.81 (step @p38 (= tptp.mvalid @t103) :rule refl :args (@t103)) % 0.64/0.81 (step @p39 (= tptp.minvalid @t104) :rule refl :args (@t104)) % 0.64/0.81 (step @p40 (= tptp.msatisfiable @t105) :rule refl :args (@t105)) % 0.64/0.81 (step @p41 (= tptp.mcountersatisfiable @t106) :rule refl :args (@t106)) % 0.64/0.81 (step @p42 (= tptp.dc @t108) :rule refl :args (@t108)) % 0.64/0.81 (step @p43 (= tptp.p @t113) :rule refl :args (@t113)) % 0.64/0.81 (step @p44 (= tptp.eq @t117) :rule refl :args (@t117)) % 0.64/0.81 (step @p45 (= tptp.o @t121) :rule refl :args (@t121)) % 0.64/0.81 (step @p46 (= tptp.po @t124) :rule refl :args (@t124)) % 0.64/0.81 (step @p47 (= tptp.ec @t127) :rule refl :args (@t127)) % 0.64/0.81 (step @p48 (= tptp.pp @t129) :rule refl :args (@t129)) % 0.64/0.81 (step @p49 (= tptp.tpp @t135) :rule refl :args (@t135)) % 0.64/0.81 (step @p50 (= tptp.ntpp @t138) :rule refl :args (@t138)) % 0.64/0.81 (step @p51 :rule refl :args (@t139)) % 0.64/0.81 (step @p52 :rule refl :args (@t3)) % 0.64/0.81 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t3 @t139))) % 0.64/0.81 (step @p54 :rule symm :premises (@p53)) % 0.64/0.81 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.64/0.81 (step @p56 :rule cong :premises (@p55) :args (@t5)) % 0.64/0.81 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 0.64/0.81 (step @p58 :rule quant-merge-prenex :args ((= @t143 @t141))) % 0.64/0.81 (step @p59 :rule refl :args (@t162)) % 0.64/0.81 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t163)) % 0.64/0.81 (step @p61 :rule quant-miniscope-or :args ((= (forall @t61 @t164) @t163))) % 0.64/0.81 (step @p62 :rule trans :premises (@p61 @p60)) % 0.64/0.81 (step @p63 :rule beta-reduce :args ((= @t166 @t164))) % 0.64/0.81 (step @p64 :rule cong :premises (@p63) :args (@t167)) % 0.64/0.81 (step @p65 :rule trans :premises (@p64 @p62)) % 0.64/0.81 (step @p66 :rule beta-reduce :args ((= (_ @t169 @t165) @t167))) % 0.64/0.81 (step @p67 :rule trans :premises (@p66 @p65)) % 0.64/0.81 (step @p68 :rule quant-miniscope-or :args ((= (forall @t69 @t170) @t164))) % 0.64/0.81 (step @p69 :rule aci_norm :args ((= @t171 @t170))) % 0.64/0.81 (step @p70 :rule cong :premises (@p69) :args ((forall @t69 @t171))) % 0.64/0.81 (step @p71 :rule trans :premises (@p70 @p68)) % 0.64/0.81 (step @p72 :rule beta-reduce :args ((= @t173 @t162))) % 0.64/0.81 (step @p73 :rule refl :args (@t140)) % 0.64/0.81 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t174)) % 0.64/0.81 (step @p75 :rule cong :premises (@p74) :args (@t175)) % 0.64/0.81 (step @p76 :rule trans :premises (@p75 @p71)) % 0.64/0.81 (step @p77 :rule cong :premises (@p76) :args (@t176)) % 0.64/0.81 (step @p78 :rule beta-reduce :args ((= (_ @t178 @t172) @t176))) % 0.64/0.81 (step @p79 :rule trans :premises (@p78 @p77)) % 0.64/0.81 (step @p80 :rule quant-merge-prenex :args ((= (forall @t26 @t180) @t161))) % 0.64/0.81 (step @p81 :rule alpha_equiv :args (@t181 (@list @t144) @t183)) % 0.64/0.81 (step @p82 :rule quant-unused-vars :args ((= @t184 @t181))) % 0.64/0.81 (step @p83 :rule trans :premises (@p82 @p81)) % 0.64/0.81 (step @p84 :rule alpha_equiv :args (@t185 (@list @t146) @t187)) % 0.64/0.81 (step @p85 :rule quant-unused-vars :args ((= @t188 @t185))) % 0.64/0.81 (step @p86 :rule trans :premises (@p85 @p84)) % 0.64/0.81 (step @p87 :rule nary_cong :premises (@p86 @p83) :args (@t189)) % 0.64/0.81 (step @p88 :rule quant-miniscope-and :args ((= @t190 @t189))) % 0.64/0.81 (step @p89 :rule trans :premises (@p88 @p87)) % 0.64/0.81 (step @p90 :rule refl :args (@t159)) % 0.64/0.81 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t191)) % 0.64/0.81 (step @p92 :rule quant-miniscope-or :args ((= @t180 @t191))) % 0.64/0.81 (step @p93 :rule trans :premises (@p92 @p91)) % 0.64/0.81 (step @p94 :rule symm :premises (@p93)) % 0.64/0.81 (step @p95 :rule cong :premises (@p94) :args ((forall @t26 (or @t159 @t196)))) % 0.64/0.81 (step @p96 :rule trans :premises (@p95 @p80)) % 0.64/0.81 (step @p97 :rule bool-double-not-elim :args (@t196)) % 0.64/0.81 (step @p98 :rule nary_cong :premises (@p90 @p97) :args ((or @t159 (not @t197)))) % 0.64/0.81 (step @p99 :rule bool-and-de-morgan :args (@t158 @t197 true)) % 0.64/0.81 (step @p100 :rule trans :premises (@p99 @p98)) % 0.64/0.81 (step @p101 :rule cong :premises (@p100) :args (@t199)) % 0.64/0.81 (step @p102 :rule trans :premises (@p101 @p96)) % 0.64/0.81 (step @p103 :rule cong :premises (@p102) :args (@t200)) % 0.64/0.81 (step @p104 :rule exists-elim :args ((= (exists @t26 @t198) @t200))) % 0.64/0.81 (step @p105 :rule trans :premises (@p104 @p103)) % 0.64/0.81 (step @p106 :rule beta-reduce :args ((= (_ @t204 tptp.spain) @t196))) % 0.64/0.81 (step @p107 :rule refl :args (tptp.spain)) % 0.64/0.81 (step @p108 :rule beta-reduce :args ((= (_ (lambda @t9 (and (forall @t195 (or (not (tptp.c @t186 @t1)) @t202)) (forall @t193 (or @t201 (tptp.c @t182 @t1))))) @t22) @t204))) % 0.64/0.81 (step @p109 :rule refl :args (@t22)) % 0.64/0.81 (step @p110 :rule alpha_equiv :args (@t208 @t209 @t183)) % 0.64/0.81 (step @p111 :rule alpha_equiv :args (@t211 @t209 @t187)) % 0.64/0.81 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t212)) % 0.64/0.81 (step @p113 :rule cong :premises (@p112) :args (@t213)) % 0.64/0.81 (step @p114 :rule ho_cong :premises (@p113 @p109)) % 0.64/0.81 (step @p115 :rule trans :premises (@p114 @p108)) % 0.64/0.81 (step @p116 :rule ho_cong :premises (@p115 @p107)) % 0.64/0.81 (step @p117 :rule trans :premises (@p116 @p106)) % 0.64/0.81 (step @p118 :rule cong :premises (@p117) :args (@t214)) % 0.64/0.81 (step @p119 :rule bool-double-not-elim :args (@t158)) % 0.64/0.81 (step @p120 :rule beta-reduce :args ((= (_ @t217 tptp.paris) @t159))) % 0.64/0.81 (step @p121 :rule refl :args (tptp.paris)) % 0.64/0.81 (step @p122 :rule beta-reduce :args ((= (_ (lambda @t9 (not (forall @t157 (or (not (forall @t153 (or @t152 @t218))) @t216)))) @t22) @t217))) % 0.64/0.81 (step @p123 :rule alpha_equiv :args (@t222 @t209 (@list @t151))) % 0.64/0.81 (step @p124 :rule cong :premises (@p123) :args (@t223)) % 0.64/0.81 (step @p125 :rule cong :premises (@p124) :args (@t224)) % 0.64/0.81 (step @p126 :rule ho_cong :premises (@p125 @p109)) % 0.64/0.81 (step @p127 :rule trans :premises (@p126 @p122)) % 0.64/0.81 (step @p128 :rule ho_cong :premises (@p127 @p121)) % 0.64/0.81 (step @p129 :rule trans :premises (@p128 @p120)) % 0.64/0.81 (step @p130 :rule cong :premises (@p129) :args (@t225)) % 0.64/0.81 (step @p131 :rule trans :premises (@p130 @p119)) % 0.64/0.81 (step @p132 :rule nary_cong :premises (@p131 @p118) :args (@t226)) % 0.64/0.81 (step @p133 :rule cong :premises (@p132) :args (@t227)) % 0.64/0.81 (step @p134 :rule trans :premises (@p133 @p105)) % 0.64/0.81 (step @p135 :rule cong :premises (@p134) :args (@t228)) % 0.64/0.81 (step @p136 :rule beta-reduce :args ((= @t230 @t178))) % 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@p503 :rule cnf_or_pos :args (@t389)) % 0.64/0.81 (step @p504 :rule reordering :premises (@p503) :args ((or @t388 @t384 (not @t389)))) % 0.64/0.81 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p253) :args (@t388 @t329 (@list @t384 @t389))) % 0.64/0.81 (step @p506 :rule skolemize :premises (@p505)) % 0.64/0.81 (step @p507 :rule bool-double-not-elim :args (@t392)) % 0.64/0.81 (step @p508 :rule refl :args (@t396)) % 0.64/0.81 (step @p509 :rule nary_cong :premises (@p508 @p507) :args ((or @t396 (not @t395)))) % 0.64/0.81 (step @p510 :rule cnf_or_neg :args (@t396 0)) % 0.64/0.81 (step @p511 :rule eq_resolve :premises (@p510 @p509)) % 0.64/0.81 (step @p512 :rule reordering :premises (@p511) :args ((or @t392 @t396))) % 0.64/0.81 (step @p513 :rule chain_m_resolution :premises (@p512 @p506) :args (@t392 @t313 @t397)) % 0.64/0.81 (step @p514 :rule instantiate :premises (@p513) :args (@t398)) % 0.64/0.81 (step @p515 :rule instantiate :premises (@p391) :args ((@list @t390 @t263))) % 0.64/0.81 (step @p516 :rule bool-double-not-elim :args (@t393)) % 0.64/0.81 (step @p517 :rule nary_cong :premises (@p508 @p516) :args ((or @t396 (not @t394)))) % 0.64/0.81 (step @p518 :rule cnf_or_neg :args (@t396 1)) % 0.64/0.81 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 0.64/0.81 (step @p520 :rule reordering :premises (@p519) :args ((or @t393 @t396))) % 0.64/0.81 (step @p521 :rule chain_m_resolution :premises (@p520 @p506) :args (@t393 @t313 @t397)) % 0.64/0.81 (step @p522 :rule instantiate :premises (@p521) :args ((@list @t263))) % 0.64/0.81 (step @p523 :rule cnf_or_pos :args (@t401)) % 0.64/0.81 (step @p524 :rule reordering :premises (@p523) :args ((or @t376 @t400 (not @t401)))) % 0.64/0.81 (step @p525 :rule chain_m_resolution :premises (@p524 @p493 @p522) :args (@t400 @t329 (@list @t376 @t401))) % 0.64/0.81 (step @p526 :rule cnf_or_pos :args (@t404)) % 0.64/0.81 (step @p527 :rule reordering :premises (@p526) :args ((or @t399 @t403 (not @t404)))) % 0.64/0.81 (step @p528 :rule chain_m_resolution :premises (@p527 @p525 @p515) :args (@t403 @t329 (@list @t399 @t404))) % 0.64/0.81 (step @p529 :rule cnf_or_pos :args (@t407)) % 0.64/0.81 (step @p530 :rule reordering :premises (@p529) :args ((or @t402 @t406 (not @t407)))) % 0.64/0.81 (step @p531 :rule chain_m_resolution :premises (@p530 @p528 @p514) :args (@t406 @t329 (@list @t402 @t407))) % 0.64/0.81 (assume-push @p538 @t408) % 0.64/0.81 (step @p533 :rule instantiate :premises (@p57) :args (@t398)) % 0.64/0.81 (step-pop @p539 :rule scope :premises (@p533)) % 0.64/0.81 (step @p534 :rule process_scope :premises (@p539) :args (@t405)) % 0.64/0.81 (step @p536 :rule implies_elim :premises (@p534)) % 0.64/0.81 (step @p537 false :rule chain_m_resolution :premises (@p536 @p531 @p57) :args (false @t329 (@list @t405 @t408))) % 0.64/0.81 ) % 0.64/0.81 % SZS output end Proof % 0.64/0.81 % cvc5 exiting %------------------------------------------------------------------------------