%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG019^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:16:00 AM UTC 2026 % Result : Theorem 205.02s 205.39s % Output : Proof 205.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG019^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n027.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Jun 1 23:03:51 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 205.02/205.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 205.02/205.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 205.02/205.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 205.02/205.39 --- Run --ho-elim --full-saturate-quant at 18s... % 205.02/205.39 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 205.02/205.39 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 205.02/205.39 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 205.02/205.39 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 205.02/205.39 % SZS status Theorem % 205.02/205.39 % SZS output start Proof % 205.02/205.39 ( % 205.02/205.39 (declare-sort tptp.reg 0) % 205.02/205.39 (declare-sort $$unsorted 0) % 205.02/205.39 (declare-sort tptp.mu 0) % 205.02/205.39 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 205.02/205.39 (declare-const tptp.france tptp.reg) % 205.02/205.39 (declare-const tptp.catalunya tptp.reg) % 205.02/205.39 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 205.02/205.39 (declare-const tptp.spain tptp.reg) % 205.02/205.39 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 205.02/205.39 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 205.02/205.39 (declare-const tptp.paris tptp.reg) % 205.02/205.39 (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" $$unsorted)) (= _let_2 _let_1))))) % 205.02/205.39 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 205.02/205.39 (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)))))) % 205.02/205.39 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 205.02/205.39 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 205.02/205.39 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 205.02/205.39 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 205.02/205.39 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 205.02/205.39 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 205.02/205.39 (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))))))) % 205.02/205.39 (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))))))) % 205.02/205.39 (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)))))) % 205.02/205.39 (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)))))) % 205.02/205.39 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 205.02/205.39 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 205.02/205.39 (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)))))) % 205.02/205.39 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 205.02/205.39 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 205.02/205.39 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 205.02/205.39 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 205.02/205.39 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 205.02/205.39 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 205.02/205.39 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 205.02/205.39 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 205.02/205.39 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 205.02/205.39 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 205.02/205.39 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 205.02/205.39 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 205.02/205.39 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 205.02/205.39 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 205.02/205.39 (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)))))) % 205.02/205.39 (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))))))))) % 205.02/205.39 (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)))))) % 205.02/205.39 (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))))))))) % 205.02/205.39 (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))))))) % 205.02/205.39 (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))))))) % 205.02/205.39 (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))))))) % 205.02/205.39 (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)))))))))) % 205.02/205.39 (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))))))))))) % 205.02/205.39 (define @t1 () (@var "X" tptp.reg)) % 205.02/205.39 (define @t2 () (_ tptp.c @t1)) % 205.02/205.39 (define @t3 () (@var "Y" tptp.reg)) % 205.02/205.39 (define @t4 () (_ @t2 @t3)) % 205.02/205.39 (define @t5 () (@list @t1 @t3)) % 205.02/205.39 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 205.02/205.39 (define @t7 () (@var "A" (-> $$unsorted Bool))) % 205.02/205.39 (define @t8 () (_ tptp.mbox tptp.fool)) % 205.02/205.39 (define @t9 () (_ @t8 @t7)) % 205.02/205.39 (define @t10 () (_ tptp.mimplies @t9)) % 205.02/205.39 (define @t11 () (@list @t7 @t6)) % 205.02/205.39 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 205.02/205.39 (define @t13 () (_ tptp.mbox tptp.a)) % 205.02/205.39 (define @t14 () (@list (@var "X" $$unsorted))) % 205.02/205.39 (define @t15 () (lambda @t14 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))) % 205.02/205.39 (define @t16 () (lambda @t14 (_ (_ tptp.ntpp tptp.paris) tptp.france))) % 205.02/205.39 (define @t17 () (@var "Z" tptp.reg)) % 205.02/205.39 (define @t18 () (_ tptp.o @t17)) % 205.02/205.39 (define @t19 () (and (_ @t18 tptp.spain) (_ @t18 tptp.france))) % 205.02/205.39 (define @t20 () (and (_ @t18 tptp.paris) (_ @t18 tptp.catalunya))) % 205.02/205.39 (define @t21 () (=> @t20 @t19)) % 205.02/205.39 (define @t22 () (@list @t17)) % 205.02/205.39 (define @t23 () (forall @t22 @t21)) % 205.02/205.39 (define @t24 () (lambda @t14 @t23)) % 205.02/205.39 (define @t25 () (not (_ tptp.mvalid (_ @t13 @t24)))) % 205.02/205.39 (define @t26 () (@var "Y" tptp.mu)) % 205.02/205.39 (define @t27 () (@var "X" tptp.mu)) % 205.02/205.39 (define @t28 () (@var "W" $$unsorted)) % 205.02/205.39 (define @t29 () (lambda (@list @t27 @t26 @t28) (= @t27 @t26))) % 205.02/205.39 (define @t30 () (@var "Y" (-> $$unsorted Bool))) % 205.02/205.39 (define @t31 () (@var "X" (-> $$unsorted Bool))) % 205.02/205.39 (define @t32 () (lambda (@list @t31 @t30 @t28) (= (_ @t31 @t28) (_ @t30 @t28)))) % 205.02/205.39 (define @t33 () (_ @t12 @t28)) % 205.02/205.39 (define @t34 () (not @t33)) % 205.02/205.39 (define @t35 () (@list @t12 @t28)) % 205.02/205.39 (define @t36 () (lambda @t35 @t34)) % 205.02/205.39 (define @t37 () (@var "Psi" (-> $$unsorted Bool))) % 205.02/205.39 (define @t38 () (lambda (@list @t12 @t37 @t28) (or @t33 (_ @t37 @t28)))) % 205.02/205.39 (define @t39 () (_ tptp.mnot @t37)) % 205.02/205.39 (define @t40 () (_ tptp.mnot @t12)) % 205.02/205.39 (define @t41 () (_ tptp.mor @t40)) % 205.02/205.39 (define @t42 () (@list @t12 @t37 @t6)) % 205.02/205.39 (define @t43 () (lambda @t42 (_ (_ tptp.mnot (_ @t41 @t39)) @t6))) % 205.02/205.39 (define @t44 () (lambda @t42 (_ (_ @t41 @t37) @t6))) % 205.02/205.39 (define @t45 () (lambda @t42 (_ (_ (_ tptp.mor @t39) @t12) @t6))) % 205.02/205.39 (define @t46 () (lambda @t42 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t37)) (_ (_ tptp.mimplies @t37) @t12)) @t6))) % 205.02/205.39 (define @t47 () (lambda @t42 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t37)) @t6))) % 205.02/205.39 (define @t48 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 205.02/205.39 (define @t49 () (_ @t48 @t27)) % 205.02/205.39 (define @t50 () (lambda (@list @t48 @t28) (forall (@list @t27) (_ @t49 @t28)))) % 205.02/205.39 (define @t51 () (@var "P" (-> $$unsorted Bool))) % 205.02/205.39 (define @t52 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 205.02/205.39 (define @t53 () (_ @t52 @t51)) % 205.02/205.39 (define @t54 () (lambda (@list @t52 @t28) (forall (@list @t51) (_ @t53 @t28)))) % 205.02/205.39 (define @t55 () (lambda (@list @t48 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t27 @t6) (_ (_ tptp.mnot @t49) @t6)))) @t6))) % 205.02/205.39 (define @t56 () (lambda (@list @t52 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t51 @t6) (_ (_ tptp.mnot @t53) @t6)))) @t6))) % 205.02/205.39 (define @t57 () (@list @t28)) % 205.02/205.39 (define @t58 () (lambda @t57 true)) % 205.02/205.39 (define @t59 () (@var "V" $$unsorted)) % 205.02/205.39 (define @t60 () (_ @t12 @t59)) % 205.02/205.39 (define @t61 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 205.02/205.39 (define @t62 () (_ (_ @t61 @t28) @t59)) % 205.02/205.39 (define @t63 () (not @t62)) % 205.02/205.39 (define @t64 () (or @t63 @t60)) % 205.02/205.39 (define @t65 () (@list @t59)) % 205.02/205.39 (define @t66 () (forall @t65 @t64)) % 205.02/205.39 (define @t67 () (@list @t61 @t12 @t28)) % 205.02/205.39 (define @t68 () (lambda @t67 @t66)) % 205.02/205.39 (define @t69 () (lambda (@list @t61 @t12 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t61) @t40)) @t6))) % 205.02/205.39 (define @t70 () (@var "S" $$unsorted)) % 205.02/205.39 (define @t71 () (_ @t61 @t70)) % 205.02/205.39 (define @t72 () (@list @t70)) % 205.02/205.39 (define @t73 () (@list @t61)) % 205.02/205.39 (define @t74 () (lambda @t73 (forall @t72 (_ @t71 @t70)))) % 205.02/205.39 (define @t75 () (@var "T" $$unsorted)) % 205.02/205.39 (define @t76 () (_ @t61 @t75)) % 205.02/205.39 (define @t77 () (_ @t71 @t75)) % 205.02/205.39 (define @t78 () (lambda @t73 (forall (@list @t70 @t75) (=> @t77 (_ @t76 @t70))))) % 205.02/205.39 (define @t79 () (@list @t75)) % 205.02/205.39 (define @t80 () (lambda @t73 (forall @t72 (exists @t79 @t77)))) % 205.02/205.39 (define @t81 () (@var "U" $$unsorted)) % 205.02/205.39 (define @t82 () (_ @t71 @t81)) % 205.02/205.39 (define @t83 () (_ @t76 @t81)) % 205.02/205.39 (define @t84 () (@list @t70 @t75 @t81)) % 205.02/205.39 (define @t85 () (lambda @t73 (forall @t84 (=> (and @t77 @t83) @t82)))) % 205.02/205.39 (define @t86 () (and @t77 @t82)) % 205.02/205.39 (define @t87 () (lambda @t73 (forall @t84 (=> @t86 @t83)))) % 205.02/205.39 (define @t88 () (= @t75 @t81)) % 205.02/205.39 (define @t89 () (lambda @t73 (forall @t84 (=> @t86 @t88)))) % 205.02/205.39 (define @t90 () (@list @t81)) % 205.02/205.39 (define @t91 () (lambda @t73 (forall @t72 (exists @t79 (and @t77 (forall @t90 (=> @t82 @t88))))))) % 205.02/205.39 (define @t92 () (_ @t61 @t81)) % 205.02/205.39 (define @t93 () (_ @t92 @t75)) % 205.02/205.39 (define @t94 () (lambda @t73 (forall @t84 (=> @t77 (exists @t90 (and @t82 @t93)))))) % 205.02/205.39 (define @t95 () (lambda @t73 (forall @t84 (=> @t86 (or @t83 @t88 @t93))))) % 205.02/205.39 (define @t96 () (lambda @t73 (forall @t84 (=> @t86 (exists @t65 (and (_ @t76 @t59) (_ @t92 @t59))))))) % 205.02/205.39 (define @t97 () (forall @t57 @t33)) % 205.02/205.39 (define @t98 () (@list @t12)) % 205.02/205.39 (define @t99 () (lambda @t98 @t97)) % 205.02/205.39 (define @t100 () (lambda @t98 (forall @t57 @t34))) % 205.02/205.39 (define @t101 () (lambda @t98 (exists @t57 @t33))) % 205.02/205.39 (define @t102 () (lambda @t98 (exists @t57 @t34))) % 205.02/205.39 (define @t103 () (lambda @t5 (not @t4))) % 205.02/205.39 (define @t104 () (_ tptp.c @t17)) % 205.02/205.39 (define @t105 () (_ @t104 @t3)) % 205.02/205.39 (define @t106 () (_ @t104 @t1)) % 205.02/205.39 (define @t107 () (forall @t22 (=> @t106 @t105))) % 205.02/205.39 (define @t108 () (lambda @t5 @t107)) % 205.02/205.39 (define @t109 () (_ (_ tptp.p @t3) @t1)) % 205.02/205.39 (define @t110 () (_ (_ tptp.p @t1) @t3)) % 205.02/205.39 (define @t111 () (lambda @t5 (and @t110 @t109))) % 205.02/205.39 (define @t112 () (_ tptp.p @t17)) % 205.02/205.39 (define @t113 () (and (_ @t112 @t1) (_ @t112 @t3))) % 205.02/205.39 (define @t114 () (exists @t22 @t113)) % 205.02/205.39 (define @t115 () (lambda @t5 @t114)) % 205.02/205.39 (define @t116 () (not @t109)) % 205.02/205.39 (define @t117 () (_ (_ tptp.o @t1) @t3)) % 205.02/205.39 (define @t118 () (lambda @t5 (and @t117 (not @t110) @t116))) % 205.02/205.39 (define @t119 () (not @t117)) % 205.02/205.39 (define @t120 () (and @t4 @t119)) % 205.02/205.39 (define @t121 () (lambda @t5 @t120)) % 205.02/205.39 (define @t122 () (and @t110 @t116)) % 205.02/205.39 (define @t123 () (lambda @t5 @t122)) % 205.02/205.39 (define @t124 () (_ tptp.ec @t17)) % 205.02/205.39 (define @t125 () (and (_ @t124 @t1) (_ @t124 @t3))) % 205.02/205.39 (define @t126 () (exists @t22 @t125)) % 205.02/205.39 (define @t127 () (_ (_ tptp.pp @t1) @t3)) % 205.02/205.39 (define @t128 () (and @t127 @t126)) % 205.02/205.39 (define @t129 () (lambda @t5 @t128)) % 205.02/205.39 (define @t130 () (not @t126)) % 205.02/205.39 (define @t131 () (and @t127 @t130)) % 205.02/205.39 (define @t132 () (lambda @t5 @t131)) % 205.02/205.39 (define @t133 () (not (tptp.a @t28 @t59))) % 205.02/205.39 (define @t134 () (forall (@list @t28 @t59) @t133)) % 205.02/205.39 (define @t135 () (forall @t65 @t133)) % 205.02/205.39 (define @t136 () (forall @t57 @t135)) % 205.02/205.39 (define @t137 () (@var "BOUND_VARIABLE_8328" tptp.reg)) % 205.02/205.39 (define @t138 () (tptp.c @t137 tptp.catalunya)) % 205.02/205.39 (define @t139 () (@var "BOUND_VARIABLE_9174" tptp.reg)) % 205.02/205.39 (define @t140 () (not (tptp.c @t137 @t139))) % 205.02/205.39 (define @t141 () (@list @t137)) % 205.02/205.39 (define @t142 () (not (forall @t141 (or @t140 @t138)))) % 205.02/205.39 (define @t143 () (tptp.c @t137 @t17)) % 205.02/205.39 (define @t144 () (not (forall @t141 (or @t140 @t143)))) % 205.02/205.39 (define @t145 () (tptp.c @t137 tptp.paris)) % 205.02/205.39 (define @t146 () (@var "BOUND_VARIABLE_9163" tptp.reg)) % 205.02/205.39 (define @t147 () (not (tptp.c @t137 @t146))) % 205.02/205.39 (define @t148 () (not (forall @t141 (or @t147 @t145)))) % 205.02/205.39 (define @t149 () (not (forall @t141 (or @t147 @t143)))) % 205.02/205.39 (define @t150 () (tptp.c @t137 tptp.france)) % 205.02/205.39 (define @t151 () (@var "BOUND_VARIABLE_9103" tptp.reg)) % 205.02/205.39 (define @t152 () (not (tptp.c @t137 @t151))) % 205.02/205.39 (define @t153 () (not (forall @t141 (or @t152 @t150)))) % 205.02/205.39 (define @t154 () (not (forall @t141 (or @t152 @t143)))) % 205.02/205.39 (define @t155 () (@list @t151)) % 205.02/205.39 (define @t156 () (not (forall @t155 (or @t154 @t153)))) % 205.02/205.39 (define @t157 () (tptp.c @t137 tptp.spain)) % 205.02/205.39 (define @t158 () (not (forall @t141 (or @t152 @t157)))) % 205.02/205.39 (define @t159 () (not (forall @t155 (or @t154 @t158)))) % 205.02/205.39 (define @t160 () (and @t159 @t156)) % 205.02/205.39 (define @t161 () (or @t160 @t149 @t148 @t144 @t142)) % 205.02/205.39 (define @t162 () (@list @t17 @t146 @t139)) % 205.02/205.39 (define @t163 () (forall @t162 @t161)) % 205.02/205.39 (define @t164 () (or @t163 @t136)) % 205.02/205.39 (define @t165 () (or @t163 @t135)) % 205.02/205.39 (define @t166 () (lambda @t57 @t165)) % 205.02/205.39 (define @t167 () (_ @t166 @t28)) % 205.02/205.39 (define @t168 () (forall @t57 @t167)) % 205.02/205.39 (define @t169 () (_ @t12 @t28)) % 205.02/205.39 (define @t170 () (lambda @t98 (forall @t57 @t169))) % 205.02/205.39 (define @t171 () (or @t163 @t133)) % 205.02/205.39 (define @t172 () (or @t133 @t163)) % 205.02/205.39 (define @t173 () (lambda @t14 @t163)) % 205.02/205.39 (define @t174 () (_ @t173 @t59)) % 205.02/205.39 (define @t175 () (or @t133 @t174)) % 205.02/205.39 (define @t176 () (forall @t65 @t175)) % 205.02/205.39 (define @t177 () (lambda @t57 @t176)) % 205.02/205.39 (define @t178 () (_ @t12 @t59)) % 205.02/205.39 (define @t179 () (lambda @t35 (forall @t65 (or @t133 @t178)))) % 205.02/205.39 (define @t180 () (or @t144 @t142)) % 205.02/205.39 (define @t181 () (or @t149 @t148)) % 205.02/205.39 (define @t182 () (or @t181 @t180 @t160)) % 205.02/205.39 (define @t183 () (forall @t162 @t182)) % 205.02/205.39 (define @t184 () (forall (@list @t146 @t139) @t182)) % 205.02/205.39 (define @t185 () (forall (@list @t139) @t180)) % 205.02/205.39 (define @t186 () (@list @t151)) % 205.02/205.39 (define @t187 () (forall (@list @t146) @t181)) % 205.02/205.39 (define @t188 () (or @t187 @t185 @t160)) % 205.02/205.39 (define @t189 () (forall @t155 (or @t154 (not (forall @t141 (or @t152 @t138)))))) % 205.02/205.39 (define @t190 () (forall @t155 (or @t154 (not (forall @t141 (or @t152 @t145)))))) % 205.02/205.39 (define @t191 () (or @t190 @t189 @t160)) % 205.02/205.39 (define @t192 () (not @t189)) % 205.02/205.39 (define @t193 () (not @t190)) % 205.02/205.39 (define @t194 () (and @t193 @t192)) % 205.02/205.39 (define @t195 () (tptp.c @t137 @t3)) % 205.02/205.39 (define @t196 () (not (forall @t141 (or @t152 @t195)))) % 205.02/205.39 (define @t197 () (@list @t3)) % 205.02/205.39 (define @t198 () (lambda @t197 (not (forall @t155 (or @t154 @t196))))) % 205.02/205.39 (define @t199 () (tptp.c @t137 @t1)) % 205.02/205.39 (define @t200 () (not @t143)) % 205.02/205.39 (define @t201 () (forall @t141 (or @t200 @t195))) % 205.02/205.39 (define @t202 () (forall @t141 (or @t200 @t199))) % 205.02/205.39 (define @t203 () (forall @t22 (or (not @t202) (not @t201)))) % 205.02/205.39 (define @t204 () (@list @t17)) % 205.02/205.39 (define @t205 () (not @t203)) % 205.02/205.39 (define @t206 () (lambda @t5 @t205)) % 205.02/205.39 (define @t207 () (_ @t206 @t17)) % 205.02/205.39 (define @t208 () (and (_ @t207 tptp.spain) (_ @t207 tptp.france))) % 205.02/205.39 (define @t209 () (and (_ @t207 tptp.paris) (_ @t207 tptp.catalunya))) % 205.02/205.39 (define @t210 () (=> @t209 @t208)) % 205.02/205.39 (define @t211 () (forall @t22 @t210)) % 205.02/205.39 (define @t212 () (lambda @t14 @t211)) % 205.02/205.39 (define @t213 () (_ @t61 @t28 @t59)) % 205.02/205.39 (define @t214 () (_ (lambda @t67 (forall @t65 (or (not @t213) @t178))) tptp.a)) % 205.02/205.39 (define @t215 () (and @t202 @t201)) % 205.02/205.39 (define @t216 () (forall @t22 (not @t215))) % 205.02/205.39 (define @t217 () (not @t216)) % 205.02/205.39 (define @t218 () (lambda @t197 @t201)) % 205.02/205.39 (define @t219 () (tptp.c @t17 @t3)) % 205.02/205.39 (define @t220 () (tptp.c @t17 @t1)) % 205.02/205.39 (define @t221 () (not @t220)) % 205.02/205.39 (define @t222 () (forall @t22 (or @t221 @t219))) % 205.02/205.39 (define @t223 () (lambda @t5 @t222)) % 205.02/205.39 (define @t224 () (_ @t223 @t17)) % 205.02/205.39 (define @t225 () (and (_ @t224 @t1) (_ @t224 @t3))) % 205.02/205.39 (define @t226 () (not @t106)) % 205.02/205.39 (define @t227 () (or @t226 @t105)) % 205.02/205.39 (define @t228 () (@quantifiers_skolemize @t163 2)) % 205.02/205.39 (define @t229 () (not (tptp.c @t137 @t228))) % 205.02/205.39 (define @t230 () (forall @t141 (or @t229 @t138))) % 205.02/205.39 (define @t231 () (not @t230)) % 205.02/205.39 (define @t232 () (tptp.c @t137 (@quantifiers_skolemize @t163 0))) % 205.02/205.39 (define @t233 () (forall @t141 (or @t229 @t232))) % 205.02/205.39 (define @t234 () (not @t233)) % 205.02/205.39 (define @t235 () (@quantifiers_skolemize @t163 1)) % 205.02/205.39 (define @t236 () (not (tptp.c @t137 @t235))) % 205.02/205.39 (define @t237 () (forall @t141 (or @t236 @t145))) % 205.02/205.39 (define @t238 () (not @t237)) % 205.02/205.39 (define @t239 () (forall @t141 (or @t236 @t232))) % 205.02/205.39 (define @t240 () (not @t239)) % 205.02/205.39 (define @t241 () (not (forall @t141 (or @t152 @t232)))) % 205.02/205.39 (define @t242 () (forall @t155 (or @t241 @t153))) % 205.02/205.39 (define @t243 () (not @t242)) % 205.02/205.39 (define @t244 () (forall @t155 (or @t241 @t158))) % 205.02/205.39 (define @t245 () (not @t244)) % 205.02/205.39 (define @t246 () (and @t245 @t243)) % 205.02/205.39 (define @t247 () (or @t246 @t240 @t238 @t234 @t231)) % 205.02/205.39 (define @t248 () (@list true)) % 205.02/205.39 (define @t249 () (@list @t247)) % 205.02/205.39 (define @t250 () (forall @t141 (or @t229 @t157))) % 205.02/205.39 (define @t251 () (@quantifiers_skolemize @t250 0)) % 205.02/205.39 (define @t252 () (tptp.c @t251 @t228)) % 205.02/205.39 (define @t253 () (tptp.c @t251 tptp.spain)) % 205.02/205.39 (define @t254 () (not @t252)) % 205.02/205.39 (define @t255 () (or @t254 @t253)) % 205.02/205.39 (define @t256 () (@list @t251)) % 205.02/205.39 (define @t257 () (tptp.c @t251 tptp.catalunya)) % 205.02/205.39 (define @t258 () (or @t254 @t257)) % 205.02/205.39 (define @t259 () (tptp.c @t17 tptp.catalunya)) % 205.02/205.39 (define @t260 () (tptp.c @t17 tptp.spain)) % 205.02/205.39 (define @t261 () (not @t260)) % 205.02/205.39 (define @t262 () (not @t259)) % 205.02/205.39 (define @t263 () (forall @t22 (or @t262 @t260))) % 205.02/205.39 (define @t264 () (@var "BOUND_VARIABLE_8441" tptp.reg)) % 205.02/205.39 (define @t265 () (not (tptp.c @t137 @t264))) % 205.02/205.39 (define @t266 () (not (forall @t141 (or @t265 @t143)))) % 205.02/205.39 (define @t267 () (@list @t264)) % 205.02/205.39 (define @t268 () (not (forall @t267 (or @t266 (not (forall @t141 (or @t265 @t138))))))) % 205.02/205.39 (define @t269 () (and (not (forall @t22 (or @t262 @t268 @t261 (not (forall @t267 (or @t266 (not (forall @t141 (or @t265 @t157))))))))) @t263 (not (forall @t22 (or @t261 @t259))))) % 205.02/205.39 (define @t270 () (or @t269 @t136)) % 205.02/205.39 (define @t271 () (or @t269 @t135)) % 205.02/205.39 (define @t272 () (lambda @t57 @t271)) % 205.02/205.39 (define @t273 () (_ @t272 @t28)) % 205.02/205.39 (define @t274 () (forall @t57 @t273)) % 205.02/205.39 (define @t275 () (or @t269 @t133)) % 205.02/205.39 (define @t276 () (or @t133 @t269)) % 205.02/205.39 (define @t277 () (lambda @t14 @t269)) % 205.02/205.39 (define @t278 () (_ @t277 @t59)) % 205.02/205.39 (define @t279 () (or @t133 @t278)) % 205.02/205.39 (define @t280 () (forall @t65 @t279)) % 205.02/205.39 (define @t281 () (lambda @t57 @t280)) % 205.02/205.39 (define @t282 () (not @t219)) % 205.02/205.39 (define @t283 () (not (forall @t141 (or @t265 @t195)))) % 205.02/205.39 (define @t284 () (forall @t267 (or @t266 @t283))) % 205.02/205.39 (define @t285 () (not @t284)) % 205.02/205.39 (define @t286 () (lambda @t197 (and (not (forall @t22 (or @t262 @t268 @t282 @t285))) (forall @t22 (or @t262 @t219)) (not (forall @t22 (or @t282 @t259)))))) % 205.02/205.39 (define @t287 () (forall @t22 (or @t282 @t220))) % 205.02/205.39 (define @t288 () (not @t287)) % 205.02/205.39 (define @t289 () (not (forall @t141 (or @t265 @t199)))) % 205.02/205.39 (define @t290 () (forall @t267 (or @t266 @t289))) % 205.02/205.39 (define @t291 () (not @t290)) % 205.02/205.39 (define @t292 () (forall @t22 (or @t221 @t291 @t282 @t285))) % 205.02/205.39 (define @t293 () (not @t292)) % 205.02/205.39 (define @t294 () (and @t293 @t222 @t288)) % 205.02/205.39 (define @t295 () (_ (lambda @t5 @t294) tptp.catalunya)) % 205.02/205.39 (define @t296 () (and @t222 @t288)) % 205.02/205.39 (define @t297 () (not @t105)) % 205.02/205.39 (define @t298 () (or @t226 @t291 @t297 @t285)) % 205.02/205.39 (define @t299 () (and @t105 @t284)) % 205.02/205.39 (define @t300 () (and @t106 @t290 @t105 @t284)) % 205.02/205.39 (define @t301 () (forall @t22 (not @t300))) % 205.02/205.39 (define @t302 () (not @t301)) % 205.02/205.39 (define @t303 () (and @t106 @t290)) % 205.02/205.39 (define @t304 () (lambda @t197 @t299)) % 205.02/205.39 (define @t305 () (and @t4 @t203)) % 205.02/205.39 (define @t306 () (lambda @t5 @t305)) % 205.02/205.39 (define @t307 () (_ @t306 @t17)) % 205.02/205.39 (define @t308 () (and (_ @t307 @t1) (_ @t307 @t3))) % 205.02/205.39 (define @t309 () (exists @t22 @t308)) % 205.02/205.39 (define @t310 () (lambda @t197 @t296)) % 205.02/205.39 (define @t311 () (_ (lambda @t5 @t296) @t1)) % 205.02/205.39 (define @t312 () (_ @t311 @t3)) % 205.02/205.39 (define @t313 () (lambda @t197 @t205)) % 205.02/205.39 (define @t314 () (_ @t206 @t1)) % 205.02/205.39 (define @t315 () (not (_ @t314 @t3))) % 205.02/205.39 (define @t316 () (@var "BOUND_VARIABLE_8290" tptp.reg)) % 205.02/205.39 (define @t317 () (tptp.c @t17 @t316)) % 205.02/205.39 (define @t318 () (lambda (@list @t316) (forall @t22 (or @t282 @t317)))) % 205.02/205.39 (define @t319 () (not (_ (_ @t223 @t3) @t1))) % 205.02/205.39 (define @t320 () (lambda @t197 @t222)) % 205.02/205.39 (define @t321 () (_ @t223 @t1)) % 205.02/205.39 (define @t322 () (@list @t134)) % 205.02/205.39 (define @t323 () (@list false)) % 205.02/205.39 (define @t324 () (not @t257)) % 205.02/205.39 (define @t325 () (or @t324 @t253)) % 205.02/205.39 (define @t326 () (not @t255)) % 205.02/205.39 (define @t327 () (not @t250)) % 205.02/205.39 (define @t328 () (or @t234 @t327)) % 205.02/205.39 (define @t329 () (not @t328)) % 205.02/205.39 (define @t330 () (@list false false)) % 205.02/205.39 (define @t331 () (forall @t141 (or @t236 @t150))) % 205.02/205.39 (define @t332 () (not @t331)) % 205.02/205.39 (define @t333 () (or @t240 @t332)) % 205.02/205.39 (define @t334 () (@quantifiers_skolemize @t331 0)) % 205.02/205.39 (define @t335 () (tptp.c @t334 tptp.france)) % 205.02/205.39 (define @t336 () (tptp.c @t334 @t235)) % 205.02/205.39 (define @t337 () (not @t336)) % 205.02/205.39 (define @t338 () (or @t337 @t335)) % 205.02/205.39 (define @t339 () (not @t338)) % 205.02/205.39 (define @t340 () (@list @t338)) % 205.02/205.39 (define @t341 () (@list @t334)) % 205.02/205.39 (define @t342 () (tptp.c @t17 tptp.paris)) % 205.02/205.39 (define @t343 () (tptp.c @t17 tptp.france)) % 205.02/205.39 (define @t344 () (not @t343)) % 205.02/205.39 (define @t345 () (not @t342)) % 205.02/205.39 (define @t346 () (forall @t22 (or @t345 @t343))) % 205.02/205.39 (define @t347 () (not (forall @t267 (or @t266 (not (forall @t141 (or @t265 @t145))))))) % 205.02/205.39 (define @t348 () (and (forall @t22 (or @t345 @t347 @t344 (not (forall @t267 (or @t266 (not (forall @t141 (or @t265 @t150)))))))) @t346 (not (forall @t22 (or @t344 @t342))))) % 205.02/205.39 (define @t349 () (or @t348 @t136)) % 205.02/205.39 (define @t350 () (or @t348 @t135)) % 205.02/205.39 (define @t351 () (lambda @t57 @t350)) % 205.02/205.39 (define @t352 () (_ @t351 @t28)) % 205.02/205.39 (define @t353 () (forall @t57 @t352)) % 205.02/205.39 (define @t354 () (or @t348 @t133)) % 205.02/205.39 (define @t355 () (or @t133 @t348)) % 205.02/205.39 (define @t356 () (lambda @t14 @t348)) % 205.02/205.39 (define @t357 () (_ @t356 @t59)) % 205.02/205.39 (define @t358 () (or @t133 @t357)) % 205.02/205.39 (define @t359 () (forall @t65 @t358)) % 205.02/205.39 (define @t360 () (lambda @t57 @t359)) % 205.02/205.39 (define @t361 () (lambda @t197 (and (forall @t22 (or @t345 @t347 @t282 @t285)) (forall @t22 (or @t345 @t219)) (not (forall @t22 (or @t282 @t342)))))) % 205.02/205.39 (define @t362 () (and @t292 @t222 @t288)) % 205.02/205.39 (define @t363 () (_ (lambda @t5 @t362) tptp.paris)) % 205.02/205.39 (define @t364 () (not @t309)) % 205.02/205.39 (define @t365 () (tptp.c @t334 tptp.paris)) % 205.02/205.39 (define @t366 () (not @t365)) % 205.02/205.39 (define @t367 () (or @t366 @t335)) % 205.02/205.39 (define @t368 () (or @t337 @t365)) % 205.02/205.39 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 205.02/205.39 (assume @p2 (forall (@list @t1) (_ @t2 @t1))) % 205.02/205.39 (assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1)))) % 205.02/205.39 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 @t7) @t6))))) % 205.02/205.39 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 (_ @t8 @t9)) @t6))))) % 205.02/205.39 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t12 @t6) (_ (_ (_ tptp.mimplies (_ @t8 @t12)) (_ @t13 @t12)) @t6))))) % 205.02/205.39 (assume @p7 (_ tptp.mvalid (_ @t13 @t15))) % 205.02/205.39 (assume @p8 (_ tptp.mvalid (_ @t8 (lambda @t14 (_ (_ tptp.ec tptp.spain) tptp.france))))) % 205.02/205.39 (assume @p9 (_ tptp.mvalid (_ @t13 @t16))) % 205.02/205.39 (assume @p10 @t25) % 205.02/205.39 (assume @p11 true) % 205.02/205.39 (step @p12 (= tptp.meq_ind @t29) :rule refl :args (@t29)) % 205.02/205.39 (step @p13 (= tptp.meq_prop @t32) :rule refl :args (@t32)) % 205.02/205.39 (step @p14 (= tptp.mnot @t36) :rule refl :args (@t36)) % 205.02/205.39 (step @p15 (= tptp.mor @t38) :rule refl :args (@t38)) % 205.02/205.39 (step @p16 (= tptp.mand @t43) :rule refl :args (@t43)) % 205.02/205.39 (step @p17 (= tptp.mimplies @t44) :rule refl :args (@t44)) % 205.02/205.39 (step @p18 (= tptp.mimplied @t45) :rule refl :args (@t45)) % 205.02/205.39 (step @p19 (= tptp.mequiv @t46) :rule refl :args (@t46)) % 205.02/205.39 (step @p20 (= tptp.mxor @t47) :rule refl :args (@t47)) % 205.02/205.39 (step @p21 (= tptp.mforall_ind @t50) :rule refl :args (@t50)) % 205.02/205.39 (step @p22 (= tptp.mforall_prop @t54) :rule refl :args (@t54)) % 205.02/205.39 (step @p23 (= tptp.mexists_ind @t55) :rule refl :args (@t55)) % 205.02/205.39 (step @p24 (= tptp.mexists_prop @t56) :rule refl :args (@t56)) % 205.02/205.39 (step @p25 (= tptp.mtrue @t58) :rule refl :args (@t58)) % 205.02/205.39 (step @p26 (= tptp.mbox @t68) :rule refl :args (@t68)) % 205.02/205.39 (step @p27 (= tptp.mdia @t69) :rule refl :args (@t69)) % 205.02/205.39 (step @p28 (= tptp.mreflexive @t74) :rule refl :args (@t74)) % 205.02/205.39 (step @p29 (= tptp.msymmetric @t78) :rule refl :args (@t78)) % 205.02/205.39 (step @p30 (= tptp.mserial @t80) :rule refl :args (@t80)) % 205.02/205.39 (step @p31 (= tptp.mtransitive @t85) :rule refl :args (@t85)) % 205.02/205.39 (step @p32 (= tptp.meuclidean @t87) :rule refl :args (@t87)) % 205.02/205.39 (step @p33 (= tptp.mpartially_functional @t89) :rule refl :args (@t89)) % 205.02/205.39 (step @p34 (= tptp.mfunctional @t91) :rule refl :args (@t91)) % 205.02/205.39 (step @p35 (= tptp.mweakly_dense @t94) :rule refl :args (@t94)) % 205.02/205.39 (step @p36 (= tptp.mweakly_connected @t95) :rule refl :args (@t95)) % 205.02/205.39 (step @p37 (= tptp.mweakly_directed @t96) :rule refl :args (@t96)) % 205.02/205.39 (step @p38 (= tptp.mvalid @t99) :rule refl :args (@t99)) % 205.02/205.39 (step @p39 (= tptp.minvalid @t100) :rule refl :args (@t100)) % 205.02/205.39 (step @p40 (= tptp.msatisfiable @t101) :rule refl :args (@t101)) % 205.02/205.39 (step @p41 (= tptp.mcountersatisfiable @t102) :rule refl :args (@t102)) % 205.02/205.39 (step @p42 (= tptp.dc @t103) :rule refl :args (@t103)) % 205.02/205.39 (step @p43 (= tptp.p @t108) :rule refl :args (@t108)) % 205.02/205.39 (step @p44 (= tptp.eq @t111) :rule refl :args (@t111)) % 205.02/205.39 (step @p45 (= tptp.o @t115) :rule refl :args (@t115)) % 205.02/205.39 (step @p46 (= tptp.po @t118) :rule refl :args (@t118)) % 205.02/205.39 (step @p47 (= tptp.ec @t121) :rule refl :args (@t121)) % 205.02/205.39 (step @p48 (= tptp.pp @t123) :rule refl :args (@t123)) % 205.02/205.39 (step @p49 (= tptp.tpp @t129) :rule refl :args (@t129)) % 205.02/205.39 (step @p50 (= tptp.ntpp @t132) :rule refl :args (@t132)) % 205.02/205.39 (step @p51 :rule quant-merge-prenex :args ((= @t136 @t134))) % 205.02/205.39 (step @p52 :rule refl :args (@t163)) % 205.02/205.39 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t164)) % 205.02/205.39 (step @p54 :rule quant-miniscope-or :args ((= (forall @t57 @t165) @t164))) % 205.02/205.39 (step @p55 :rule trans :premises (@p54 @p53)) % 205.02/205.39 (step @p56 :rule beta-reduce :args ((= @t167 @t165))) % 205.02/205.39 (step @p57 :rule cong :premises (@p56) :args (@t168)) % 205.02/205.39 (step @p58 :rule trans :premises (@p57 @p55)) % 205.02/205.39 (step @p59 :rule beta-reduce :args ((= (_ @t170 @t166) @t168))) % 205.02/205.39 (step @p60 :rule trans :premises (@p59 @p58)) % 205.02/205.39 (step @p61 :rule quant-miniscope-or :args ((= (forall @t65 @t171) @t165))) % 205.02/205.39 (step @p62 :rule aci_norm :args ((= @t172 @t171))) % 205.02/205.39 (step @p63 :rule cong :premises (@p62) :args ((forall @t65 @t172))) % 205.02/205.39 (step @p64 :rule trans :premises (@p63 @p61)) % 205.02/205.39 (step @p65 :rule beta-reduce :args ((= @t174 @t163))) % 205.02/205.39 (step @p66 :rule refl :args (@t133)) % 205.02/205.39 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t175)) % 205.02/205.39 (step @p68 :rule cong :premises (@p67) :args (@t176)) % 205.02/205.39 (step @p69 :rule trans :premises (@p68 @p64)) % 205.02/205.39 (step @p70 :rule cong :premises (@p69) :args (@t177)) % 205.02/205.39 (step @p71 :rule beta-reduce :args ((= (_ @t179 @t173) @t177))) % 205.02/205.39 (step @p72 :rule trans :premises (@p71 @p70)) % 205.02/205.39 (step @p73 :rule aci_norm :args ((= @t182 @t161))) % 205.02/205.39 (step @p74 :rule cong :premises (@p73) :args (@t183)) % 205.02/205.39 (step @p75 :rule quant-merge-prenex :args ((= (forall @t22 @t184) @t183))) % 205.02/205.39 (step @p76 :rule refl :args (@t160)) % 205.02/205.39 (step @p77 :rule alpha_equiv :args (@t185 (@list @t139) @t186)) % 205.02/205.39 (step @p78 :rule alpha_equiv :args (@t187 (@list @t146) @t186)) % 205.02/205.39 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t188)) % 205.02/205.39 (step @p80 :rule quant-miniscope-or :args ((= @t184 @t188))) % 205.02/205.39 (step @p81 :rule trans :premises (@p80 @p79)) % 205.02/205.39 (step @p82 :rule symm :premises (@p81)) % 205.02/205.39 (step @p83 :rule cong :premises (@p82) :args ((forall @t22 @t191))) % 205.02/205.39 (step @p84 :rule trans :premises (@p83 @p75)) % 205.02/205.39 (step @p85 :rule trans :premises (@p84 @p74)) % 205.02/205.39 (step @p86 :rule aci_norm :args ((= (or (or @t190 @t189) @t160) @t191))) % 205.02/205.39 (step @p87 :rule bool-double-not-elim :args (@t189)) % 205.02/205.39 (step @p88 :rule bool-double-not-elim :args (@t190)) % 205.02/205.39 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t193) (not @t192)))) % 205.02/205.39 (step @p90 :rule bool-and-de-morgan :args (@t193 @t192 true)) % 205.02/205.39 (step @p91 :rule trans :premises (@p90 @p89)) % 205.02/205.39 (step @p92 :rule nary_cong :premises (@p91 @p76) :args ((or (not @t194) @t160))) % 205.02/205.39 (step @p93 :rule trans :premises (@p92 @p86)) % 205.02/205.39 (step @p94 :rule bool-impl-elim :args (@t194 @t160)) % 205.02/205.39 (step @p95 :rule trans :premises (@p94 @p93)) % 205.02/205.39 (step @p96 :rule cong :premises (@p95) :args ((forall @t22 (=> @t194 @t160)))) % 205.02/205.39 (step @p97 :rule trans :premises (@p96 @p85)) % 205.02/205.39 (step @p98 :rule beta-reduce :args ((= (_ @t198 tptp.france) @t156))) % 205.02/205.39 (step @p99 :rule refl :args (tptp.france)) % 205.02/205.39 (step @p100 :rule beta-reduce :args ((= (_ (lambda @t5 (not (forall @t155 (or (not (forall @t141 (or @t152 @t199))) @t196)))) @t17) @t198))) % 205.02/205.39 (step @p101 :rule refl :args (@t17)) % 205.02/205.39 (step @p102 :rule alpha_equiv :args (@t203 @t204 @t186)) % 205.02/205.39 (step @p103 :rule cong :premises (@p102) :args (@t205)) % 205.02/205.39 (step @p104 :rule cong :premises (@p103) :args (@t206)) % 205.02/205.39 (step @p105 :rule ho_cong :premises (@p104 @p101)) % 205.02/205.39 (step @p106 :rule trans :premises (@p105 @p100)) % 205.02/205.39 (step @p107 :rule ho_cong :premises (@p106 @p99)) % 205.02/205.39 (step @p108 :rule trans :premises (@p107 @p98)) % 205.02/205.39 (step @p109 :rule beta-reduce :args ((= (_ @t198 tptp.spain) @t159))) % 205.02/205.39 (step @p110 :rule refl :args (tptp.spain)) % 205.02/205.39 (step @p111 :rule ho_cong :premises (@p106 @p110)) % 205.02/205.39 (step @p112 :rule trans :premises (@p111 @p109)) % 205.02/205.39 (step @p113 :rule nary_cong :premises (@p112 @p108) :args (@t208)) % 205.02/205.39 (step @p114 :rule beta-reduce :args ((= (_ @t198 tptp.catalunya) @t192))) % 205.02/205.39 (step @p115 :rule refl :args (tptp.catalunya)) % 205.02/205.39 (step @p116 :rule ho_cong :premises (@p106 @p115)) % 205.02/205.39 (step @p117 :rule trans :premises (@p116 @p114)) % 205.02/205.39 (step @p118 :rule beta-reduce :args ((= (_ @t198 tptp.paris) @t193))) % 205.02/205.39 (step @p119 :rule refl :args (tptp.paris)) % 205.02/205.39 (step @p120 :rule ho_cong :premises (@p106 @p119)) % 205.02/205.39 (step @p121 :rule trans :premises (@p120 @p118)) % 205.02/205.39 (step @p122 :rule nary_cong :premises (@p121 @p117) :args (@t209)) % 205.02/205.39 (step @p123 :rule cong :premises (@p122 @p113) :args (@t210)) % 205.02/205.39 (step @p124 :rule cong :premises (@p123) :args (@t211)) % 205.02/205.39 (step @p125 :rule trans :premises (@p124 @p97)) % 205.02/205.39 (step @p126 :rule cong :premises (@p125) :args (@t212)) % 205.02/205.39 (step @p127 :rule beta-reduce :args ((= @t214 @t179))) % 205.02/205.39 (step @p128 :rule ho_cong :premises (@p127 @p126)) % 205.02/205.39 (step @p129 :rule trans :premises (@p128 @p72)) % 205.02/205.39 (step @p130 :rule refl :args (@t170)) % 205.02/205.39 (step @p131 :rule ho_cong :premises (@p130 @p129)) % 205.02/205.39 (step @p132 :rule trans :premises (@p131 @p60)) % 205.02/205.39 (step @p133 :rule cong :premises (@p132) :args ((not (_ @t170 (_ @t214 @t212))))) % 205.02/205.39 (step @p134 :rule refl :args (@t17)) % 205.02/205.39 (step @p135 :rule bool-and-de-morgan :args (@t202 @t201 true)) % 205.02/205.39 (step @p136 :rule cong :premises (@p135) :args (@t216)) % 205.02/205.39 (step @p137 :rule cong :premises (@p136) :args (@t217)) % 205.02/205.39 (step @p138 :rule exists-elim :args ((= (exists @t22 @t215) @t217))) % 205.02/205.39 (step @p139 :rule trans :premises (@p138 @p137)) % 205.02/205.39 (step @p140 :rule beta-reduce :args ((= (_ @t218 @t3) @t201))) % 205.02/205.39 (step @p141 :rule refl :args (@t3)) % 205.02/205.39 (step @p142 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t141 (or (not @t199) @t195))) @t17) @t218))) % 205.02/205.39 (step @p143 :rule alpha_equiv :args (@t222 @t204 (@list @t137))) % 205.02/205.39 (step @p144 :rule cong :premises (@p143) :args (@t223)) % 205.02/205.39 (step @p145 :rule ho_cong :premises (@p144 @p101)) % 205.02/205.39 (step @p146 :rule trans :premises (@p145 @p142)) % 205.02/205.39 (step @p147 :rule ho_cong :premises (@p146 @p141)) % 205.02/205.39 (step @p148 :rule trans :premises (@p147 @p140)) % 205.02/205.39 (step @p149 :rule beta-reduce :args ((= (_ @t218 @t1) @t202))) % 205.02/205.39 (step @p150 :rule refl :args (@t1)) % 205.02/205.39 (step @p151 :rule ho_cong :premises (@p146 @p150)) % 205.02/205.39 (step @p152 :rule trans :premises (@p151 @p149)) % 205.02/205.39 (step @p153 :rule nary_cong :premises (@p152 @p148) :args (@t225)) % 205.02/205.39 (step @p154 :rule cong :premises (@p153) :args ((exists @t22 @t225))) % 205.02/205.39 (step @p155 :rule trans :premises (@p154 @p139)) % 205.02/205.39 (step @p156 :rule refl :args (@t219)) % 205.02/205.39 (step @p157 :rule refl :args (@t105)) % 205.02/205.39 (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t105 @t219))) % 205.02/205.39 (step @p159 :rule symm :premises (@p158)) % 205.02/205.39 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 205.02/205.39 (step @p161 :rule refl :args (@t220)) % 205.02/205.39 (step @p162 :rule refl :args (@t106)) % 205.02/205.39 (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t106 @t220))) % 205.02/205.39 (step @p164 :rule symm :premises (@p163)) % 205.02/205.39 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 205.02/205.39 (step @p166 :rule cong :premises (@p165) :args (@t226)) % 205.02/205.39 (step @p167 :rule nary_cong :premises (@p166 @p160) :args (@t227)) % 205.02/205.39 (step @p168 :rule cong :premises (@p167) :args ((forall @t22 @t227))) % 205.02/205.39 (step @p169 :rule bool-impl-elim :args (@t106 @t105)) % 205.02/205.39 (step @p170 :rule cong :premises (@p169) :args (@t107)) % 205.02/205.39 (step @p171 :rule trans :premises (@p170 @p168)) % 205.02/205.39 (step @p172 :rule cong :premises (@p171) :args (@t108)) % 205.02/205.39 (step @p173 :rule trans :premises (@p43 @p172)) % 205.02/205.39 (step @p174 :rule ho_cong :premises (@p173 @p134)) % 205.02/205.39 (step @p175 :rule ho_cong :premises (@p174 @p141)) % 205.02/205.39 (step @p176 :rule ho_cong :premises (@p174 @p150)) % 205.02/205.39 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t113)) % 205.02/205.39 (step @p178 :rule cong 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false) (@list @t325 @t257 @t258 @t253 @t252))) % 205.02/205.39 (step @p383 :rule refl :args (@t326)) % 205.02/205.39 (step @p384 :rule bool-double-not-elim :args (@t250)) % 205.02/205.39 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or (not @t327) @t326))) % 205.02/205.39 (assume-push @p516 @t327) % 205.02/205.39 (step @p387 :rule skolemize :premises (@p516)) % 205.02/205.39 (step-pop @p517 :rule scope :premises (@p387)) % 205.02/205.39 (step @p388 :rule process_scope :premises (@p517) :args (@t326)) % 205.02/205.39 (step @p390 :rule implies_elim :premises (@p388)) % 205.02/205.39 (step @p391 :rule eq_resolve :premises (@p390 @p385)) % 205.02/205.39 (step @p392 :rule chain_m_resolution :premises (@p391 @p382) :args (@t250 @t323 (@list @t255))) % 205.02/205.39 (step @p393 :rule bool-double-not-elim :args (@t233)) % 205.02/205.39 (step @p394 :rule nary_cong :premises (@p234 @p393) :args ((or @t247 (not @t234)))) % 205.02/205.39 (step @p395 :rule cnf_or_neg :args (@t247 3)) % 205.02/205.39 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 205.02/205.39 (step @p397 :rule reordering :premises (@p396) :args ((or @t233 @t247))) % 205.02/205.39 (step @p398 :rule chain_m_resolution :premises (@p397 @p223) :args (@t233 @t248 @t249)) % 205.02/205.39 (step @p399 :rule cnf_or_pos :args (@t328)) % 205.02/205.39 (step @p400 :rule reordering :premises (@p399) :args ((or @t234 @t327 @t329))) % 205.02/205.39 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p392) :args (@t329 @t330 (@list @t233 @t250))) % 205.02/205.39 (assume-push @p518 @t244) % 205.02/205.39 (step @p403 :rule instantiate :premises (@p518) :args ((@list @t228))) % 205.02/205.39 (step-pop @p519 :rule scope :premises (@p403)) % 205.02/205.39 (step @p404 :rule process_scope :premises (@p519) :args (@t328)) % 205.02/205.39 (step @p406 :rule implies_elim :premises (@p404)) % 205.02/205.39 (step @p407 :rule chain_m_resolution :premises (@p406 @p401) :args (@t245 @t248 (@list @t328))) % 205.02/205.39 (step @p408 :rule bool-double-not-elim :args (@t242)) % 205.02/205.39 (step @p409 :rule bool-double-not-elim :args (@t244)) % 205.02/205.39 (step @p410 :rule refl :args (@t246)) % 205.02/205.39 (step @p411 :rule nary_cong :premises (@p410 @p409 @p408) :args ((or @t246 (not @t245) (not @t243)))) % 205.02/205.39 (step @p412 :rule cnf_and_neg :args (@t246)) % 205.02/205.39 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 205.02/205.39 (step @p414 :rule reordering :premises (@p413) :args ((or @t244 @t242 @t246))) % 205.02/205.39 (step @p415 :rule chain_m_resolution :premises (@p414 @p407 @p225) :args (@t242 (@list true true) (@list @t244 @t246))) % 205.02/205.39 (assume-push @p520 @t242) % 205.02/205.39 (step @p417 :rule instantiate :premises (@p520) :args ((@list @t235))) % 205.02/205.39 (step-pop @p521 :rule scope :premises (@p417)) % 205.02/205.39 (step @p418 :rule process_scope :premises (@p521) :args (@t333)) % 205.02/205.39 (step @p420 :rule implies_elim :premises (@p418)) % 205.02/205.39 (step @p421 :rule chain_m_resolution :premises (@p420 @p415) :args (@t333 @t323 (@list @t242))) % 205.02/205.39 (step @p422 :rule bool-double-not-elim :args (@t239)) % 205.02/205.39 (step @p423 :rule nary_cong :premises (@p234 @p422) :args ((or @t247 (not @t240)))) % 205.02/205.39 (step @p424 :rule cnf_or_neg :args (@t247 1)) % 205.02/205.39 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 205.02/205.39 (step @p426 :rule reordering :premises (@p425) :args ((or @t239 @t247))) % 205.02/205.39 (step @p427 :rule chain_m_resolution :premises (@p426 @p223) :args (@t239 @t248 @t249)) % 205.02/205.39 (step @p428 :rule cnf_or_pos :args (@t333)) % 205.02/205.39 (step @p429 :rule reordering :premises (@p428) :args ((or @t240 @t332 (not @t333)))) % 205.02/205.39 (step @p430 :rule chain_m_resolution :premises (@p429 @p427 @p421) :args (@t332 @t330 (@list @t239 @t333))) % 205.02/205.39 (step @p431 :rule refl :args (@t339)) % 205.02/205.39 (step @p432 :rule bool-double-not-elim :args (@t331)) % 205.02/205.39 (step @p433 :rule nary_cong :premises (@p432 @p431) :args ((or (not @t332) @t339))) % 205.02/205.39 (assume-push @p522 @t332) % 205.02/205.39 (step @p435 :rule skolemize :premises (@p522)) % 205.02/205.39 (step-pop @p523 :rule scope :premises (@p435)) % 205.02/205.39 (step @p436 :rule process_scope :premises (@p523) :args (@t339)) % 205.02/205.39 (step @p438 :rule implies_elim :premises (@p436)) % 205.02/205.39 (step @p439 :rule eq_resolve :premises (@p438 @p433)) % 205.02/205.39 (step @p440 :rule chain_m_resolution :premises (@p439 @p430) :args (@t339 @t248 (@list @t331))) % 205.02/205.39 (step @p441 :rule bool-double-not-elim :args (@t336)) % 205.02/205.39 (step @p442 :rule refl :args (@t338)) % 205.02/205.39 (step @p443 :rule nary_cong :premises (@p442 @p441) :args ((or @t338 (not @t337)))) % 205.02/205.39 (step @p444 :rule cnf_or_neg :args (@t338 0)) % 205.02/205.39 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 205.02/205.39 (step @p446 :rule reordering :premises (@p445) :args ((or @t336 @t338))) % 205.02/205.39 (step @p447 :rule chain_m_resolution :premises (@p446 @p440) :args (@t336 @t248 @t340)) % 205.02/205.39 (step @p448 :rule bool-double-not-elim :args (@t237)) % 205.02/205.39 (step @p449 :rule nary_cong :premises (@p234 @p448) :args ((or @t247 (not @t238)))) % 205.02/205.39 (step @p450 :rule cnf_or_neg :args (@t247 2)) % 205.02/205.39 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 205.02/205.39 (step @p452 :rule reordering :premises (@p451) :args ((or @t237 @t247))) % 205.02/205.39 (step @p453 :rule chain_m_resolution :premises (@p452 @p223) :args (@t237 @t248 @t249)) % 205.02/205.39 (step @p454 :rule instantiate :premises (@p453) :args (@t341)) % 205.02/205.39 (step @p455 :rule refl :args (@t348)) % 205.02/205.39 (step @p456 :rule nary_cong :premises (@p455 @p51) :args (@t349)) % 205.02/205.39 (step @p457 :rule quant-miniscope-or :args ((= (forall @t57 @t350) @t349))) % 205.02/205.39 (step @p458 :rule trans :premises (@p457 @p456)) % 205.02/205.39 (step @p459 :rule beta-reduce :args ((= @t352 @t350))) % 205.02/205.39 (step @p460 :rule cong :premises (@p459) :args (@t353)) % 205.02/205.39 (step @p461 :rule trans :premises (@p460 @p458)) % 205.02/205.39 (step @p462 :rule beta-reduce :args ((= (_ @t170 @t351) @t353))) % 205.02/205.39 (step @p463 :rule trans :premises (@p462 @p461)) % 205.02/205.39 (step @p464 :rule quant-miniscope-or :args ((= (forall @t65 @t354) @t350))) % 205.02/205.39 (step @p465 :rule aci_norm :args ((= @t355 @t354))) % 205.02/205.39 (step @p466 :rule cong :premises (@p465) :args ((forall @t65 @t355))) % 205.02/205.39 (step @p467 :rule trans :premises (@p466 @p464)) % 205.02/205.39 (step @p468 :rule beta-reduce :args ((= @t357 @t348))) % 205.02/205.39 (step @p469 :rule nary_cong :premises (@p66 @p468) :args (@t358)) % 205.02/205.39 (step @p470 :rule cong :premises (@p469) :args (@t359)) % 205.02/205.39 (step @p471 :rule trans :premises (@p470 @p467)) % 205.02/205.39 (step @p472 :rule cong :premises (@p471) :args (@t360)) % 205.02/205.39 (step @p473 :rule beta-reduce :args ((= (_ @t179 @t356) @t360))) % 205.02/205.39 (step @p474 :rule trans :premises (@p473 @p472)) % 205.02/205.39 (step @p475 :rule beta-reduce :args ((= (_ @t361 tptp.france) @t348))) % 205.02/205.39 (step @p476 :rule beta-reduce :args ((= @t363 @t361))) % 205.02/205.39 (step @p477 :rule ho_cong :premises (@p476 @p99)) % 205.02/205.39 (step @p478 :rule trans :premises (@p477 @p475)) % 205.02/205.39 (step @p479 :rule cong :premises (@p478) :args ((lambda @t14 (_ @t363 tptp.france)))) % 205.02/205.39 (step @p480 :rule ho_cong :premises (@p127 @p479)) % 205.02/205.39 (step @p481 :rule trans :premises (@p480 @p474)) % 205.02/205.39 (step @p482 :rule ho_cong :premises (@p130 @p481)) % 205.02/205.39 (step @p483 :rule trans :premises (@p482 @p463)) % 205.02/205.39 (step @p484 :rule aci_norm :args ((= (and @t296 @t292) @t362))) % 205.02/205.39 (step @p485 :rule bool-double-not-elim :args (@t292)) % 205.02/205.39 (step @p486 :rule cong :premises (@p311) :args (@t364)) % 205.02/205.39 (step @p487 :rule trans :premises (@p486 @p485)) % 205.02/205.39 (step @p488 :rule nary_cong :premises (@p315 @p487) :args ((and @t312 @t364))) % 205.02/205.39 (step @p489 :rule trans :premises (@p488 @p484)) % 205.02/205.39 (step @p490 :rule cong :premises (@p338) :args (@t130)) % 205.02/205.39 (step @p491 :rule nary_cong :premises (@p363 @p490) :args (@t131)) % 205.02/205.39 (step @p492 :rule trans :premises (@p491 @p489)) % 205.02/205.39 (step @p493 :rule cong :premises (@p492) :args (@t132)) % 205.02/205.39 (step @p494 :rule trans :premises (@p50 @p493)) % 205.02/205.39 (step @p495 :rule ho_cong :premises (@p494 @p119)) % 205.02/205.39 (step @p496 :rule ho_cong :premises (@p495 @p99)) % 205.02/205.39 (step @p497 :rule cong :premises (@p496) :args (@t16)) % 205.02/205.39 (step @p498 :rule ho_cong :premises (@p208 @p497)) % 205.02/205.40 (step @p499 :rule ho_cong :premises (@p217 @p498)) % 205.02/205.40 (step @p500 :rule trans :premises (@p499 @p483)) % 205.02/205.40 (step @p501 :rule eq_resolve :premises (@p9 @p500)) % 205.02/205.40 (step @p502 :rule reordering :premises (@p501) :args ((or @t134 @t348))) % 205.02/205.40 (step @p503 :rule chain_m_resolution :premises (@p502 @p243) :args (@t348 @t248 @t322)) % 205.02/205.40 (step @p504 :rule cnf_and_pos :args (@t348 1)) % 205.02/205.40 (step @p505 :rule reordering :premises (@p504) :args ((or @t346 (not @t348)))) % 205.02/205.40 (step @p506 :rule chain_m_resolution :premises (@p505 @p503) :args (@t346 @t323 (@list @t348))) % 205.02/205.40 (step @p507 :rule instantiate :premises (@p506) :args (@t341)) % 205.02/205.40 (step @p508 :rule cnf_or_neg :args (@t338 1)) % 205.02/205.40 (step @p509 :rule chain_m_resolution :premises (@p508 @p440) :args ((not @t335) @t248 @t340)) % 205.02/205.40 (step @p510 :rule cnf_or_pos :args (@t367)) % 205.02/205.40 (step @p511 :rule reordering :premises (@p510) :args ((or @t335 @t366 (not @t367)))) % 205.02/205.40 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p507) :args (@t366 (@list true false) (@list @t335 @t367))) % 205.02/205.40 (step @p513 :rule cnf_or_pos :args (@t368)) % 205.02/205.40 (step @p514 :rule reordering :premises (@p513) :args ((or @t337 @t365 (not @t368)))) % 205.02/205.40 (step @p515 false :rule chain_m_resolution :premises (@p514 @p512 @p454 @p447) :args (false (@list true false false) (@list @t365 @t368 @t336))) % 205.02/205.40 ) % 205.02/205.40 % SZS output end Proof % 205.02/205.40 % cvc5 exiting %------------------------------------------------------------------------------