%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG008^1 : 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 : 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 168.89s 169.63s % Output : Proof 168.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG008^1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n018.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:02:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TH0 % 168.89/169.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 168.89/169.63 --- 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... % 168.89/169.63 --- 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... % 168.89/169.63 --- Run --ho-elim --full-saturate-quant at 18s... % 168.89/169.63 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 168.89/169.63 % SZS status Theorem % 168.89/169.63 % SZS output start Proof % 168.89/169.63 ( % 168.89/169.63 (declare-sort tptp.reg 0) % 168.89/169.63 (declare-sort $$unsorted 0) % 168.89/169.63 (declare-sort tptp.mu 0) % 168.89/169.63 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 168.89/169.63 (declare-const tptp.france tptp.reg) % 168.89/169.63 (declare-const tptp.catalunya tptp.reg) % 168.89/169.63 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 168.89/169.63 (declare-const tptp.spain tptp.reg) % 168.89/169.63 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 168.89/169.63 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 168.89/169.63 (declare-const tptp.paris tptp.reg) % 168.89/169.63 (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" $$unsorted)) (= _let_2 _let_1))))) % 168.89/169.63 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 168.89/169.63 (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)))))) % 168.89/169.63 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 168.89/169.63 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 168.89/169.63 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 168.89/169.63 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 168.89/169.63 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 168.89/169.63 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 168.89/169.63 (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))))))) % 168.89/169.63 (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))))))) % 168.89/169.63 (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)))))) % 168.89/169.63 (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)))))) % 168.89/169.63 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 168.89/169.63 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 168.89/169.63 (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)))))) % 168.89/169.63 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 168.89/169.63 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 168.89/169.63 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 168.89/169.63 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 168.89/169.63 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 168.89/169.63 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 168.89/169.63 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 168.89/169.63 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 168.89/169.63 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 168.89/169.63 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 168.89/169.63 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 168.89/169.63 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 168.89/169.63 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 168.89/169.63 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 168.89/169.63 (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)))))) % 168.89/169.63 (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))))))))) % 168.89/169.63 (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)))))) % 168.89/169.63 (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))))))))) % 168.89/169.63 (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))))))) % 168.89/169.63 (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))))))) % 168.89/169.63 (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))))))) % 168.89/169.63 (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)))))))))) % 168.89/169.63 (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))))))))))) % 168.89/169.63 (define @t1 () (@var "X" tptp.reg)) % 168.89/169.63 (define @t2 () (_ tptp.c @t1)) % 168.89/169.63 (define @t3 () (@var "Y" tptp.reg)) % 168.89/169.63 (define @t4 () (_ @t2 @t3)) % 168.89/169.63 (define @t5 () (@list @t1 @t3)) % 168.89/169.63 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 168.89/169.63 (define @t7 () (@var "A" (-> $$unsorted Bool))) % 168.89/169.63 (define @t8 () (_ tptp.mbox tptp.fool)) % 168.89/169.63 (define @t9 () (_ @t8 @t7)) % 168.89/169.63 (define @t10 () (_ tptp.mimplies @t9)) % 168.89/169.63 (define @t11 () (@list @t7 @t6)) % 168.89/169.63 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 168.89/169.63 (define @t13 () (_ tptp.mbox tptp.a)) % 168.89/169.63 (define @t14 () (@list (@var "X" $$unsorted))) % 168.89/169.63 (define @t15 () (lambda @t14 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))) % 168.89/169.63 (define @t16 () (lambda @t14 (_ (_ tptp.ntpp tptp.paris) tptp.france))) % 168.89/169.63 (define @t17 () (=> (_ (_ tptp.eq tptp.catalunya) tptp.paris) (_ (_ tptp.o tptp.france) tptp.spain))) % 168.89/169.63 (define @t18 () (lambda @t14 @t17)) % 168.89/169.63 (define @t19 () (not (_ tptp.mvalid (_ @t13 @t18)))) % 168.89/169.63 (define @t20 () (@var "Y" tptp.mu)) % 168.89/169.63 (define @t21 () (@var "X" tptp.mu)) % 168.89/169.63 (define @t22 () (@var "W" $$unsorted)) % 168.89/169.63 (define @t23 () (lambda (@list @t21 @t20 @t22) (= @t21 @t20))) % 168.89/169.63 (define @t24 () (@var "Y" (-> $$unsorted Bool))) % 168.89/169.63 (define @t25 () (@var "X" (-> $$unsorted Bool))) % 168.89/169.63 (define @t26 () (lambda (@list @t25 @t24 @t22) (= (_ @t25 @t22) (_ @t24 @t22)))) % 168.89/169.63 (define @t27 () (_ @t12 @t22)) % 168.89/169.63 (define @t28 () (not @t27)) % 168.89/169.63 (define @t29 () (@list @t12 @t22)) % 168.89/169.63 (define @t30 () (lambda @t29 @t28)) % 168.89/169.63 (define @t31 () (@var "Psi" (-> $$unsorted Bool))) % 168.89/169.63 (define @t32 () (lambda (@list @t12 @t31 @t22) (or @t27 (_ @t31 @t22)))) % 168.89/169.63 (define @t33 () (_ tptp.mnot @t31)) % 168.89/169.63 (define @t34 () (_ tptp.mnot @t12)) % 168.89/169.63 (define @t35 () (_ tptp.mor @t34)) % 168.89/169.63 (define @t36 () (@list @t12 @t31 @t6)) % 168.89/169.63 (define @t37 () (lambda @t36 (_ (_ tptp.mnot (_ @t35 @t33)) @t6))) % 168.89/169.63 (define @t38 () (lambda @t36 (_ (_ @t35 @t31) @t6))) % 168.89/169.63 (define @t39 () (lambda @t36 (_ (_ (_ tptp.mor @t33) @t12) @t6))) % 168.89/169.63 (define @t40 () (lambda @t36 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t31)) (_ (_ tptp.mimplies @t31) @t12)) @t6))) % 168.89/169.63 (define @t41 () (lambda @t36 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t31)) @t6))) % 168.89/169.63 (define @t42 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 168.89/169.63 (define @t43 () (_ @t42 @t21)) % 168.89/169.63 (define @t44 () (lambda (@list @t42 @t22) (forall (@list @t21) (_ @t43 @t22)))) % 168.89/169.63 (define @t45 () (@var "P" (-> $$unsorted Bool))) % 168.89/169.63 (define @t46 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 168.89/169.63 (define @t47 () (_ @t46 @t45)) % 168.89/169.63 (define @t48 () (lambda (@list @t46 @t22) (forall (@list @t45) (_ @t47 @t22)))) % 168.89/169.63 (define @t49 () (lambda (@list @t42 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t21 @t6) (_ (_ tptp.mnot @t43) @t6)))) @t6))) % 168.89/169.63 (define @t50 () (lambda (@list @t46 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t45 @t6) (_ (_ tptp.mnot @t47) @t6)))) @t6))) % 168.89/169.63 (define @t51 () (@list @t22)) % 168.89/169.63 (define @t52 () (lambda @t51 true)) % 168.89/169.63 (define @t53 () (@var "V" $$unsorted)) % 168.89/169.63 (define @t54 () (_ @t12 @t53)) % 168.89/169.63 (define @t55 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 168.89/169.63 (define @t56 () (_ (_ @t55 @t22) @t53)) % 168.89/169.63 (define @t57 () (not @t56)) % 168.89/169.63 (define @t58 () (or @t57 @t54)) % 168.89/169.63 (define @t59 () (@list @t53)) % 168.89/169.63 (define @t60 () (forall @t59 @t58)) % 168.89/169.63 (define @t61 () (@list @t55 @t12 @t22)) % 168.89/169.63 (define @t62 () (lambda @t61 @t60)) % 168.89/169.63 (define @t63 () (lambda (@list @t55 @t12 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t55) @t34)) @t6))) % 168.89/169.63 (define @t64 () (@var "S" $$unsorted)) % 168.89/169.63 (define @t65 () (_ @t55 @t64)) % 168.89/169.63 (define @t66 () (@list @t64)) % 168.89/169.63 (define @t67 () (@list @t55)) % 168.89/169.63 (define @t68 () (lambda @t67 (forall @t66 (_ @t65 @t64)))) % 168.89/169.63 (define @t69 () (@var "T" $$unsorted)) % 168.89/169.63 (define @t70 () (_ @t55 @t69)) % 168.89/169.63 (define @t71 () (_ @t65 @t69)) % 168.89/169.63 (define @t72 () (lambda @t67 (forall (@list @t64 @t69) (=> @t71 (_ @t70 @t64))))) % 168.89/169.63 (define @t73 () (@list @t69)) % 168.89/169.63 (define @t74 () (lambda @t67 (forall @t66 (exists @t73 @t71)))) % 168.89/169.63 (define @t75 () (@var "U" $$unsorted)) % 168.89/169.63 (define @t76 () (_ @t65 @t75)) % 168.89/169.63 (define @t77 () (_ @t70 @t75)) % 168.89/169.63 (define @t78 () (@list @t64 @t69 @t75)) % 168.89/169.63 (define @t79 () (lambda @t67 (forall @t78 (=> (and @t71 @t77) @t76)))) % 168.89/169.63 (define @t80 () (and @t71 @t76)) % 168.89/169.63 (define @t81 () (lambda @t67 (forall @t78 (=> @t80 @t77)))) % 168.89/169.63 (define @t82 () (= @t69 @t75)) % 168.89/169.63 (define @t83 () (lambda @t67 (forall @t78 (=> @t80 @t82)))) % 168.89/169.63 (define @t84 () (@list @t75)) % 168.89/169.63 (define @t85 () (lambda @t67 (forall @t66 (exists @t73 (and @t71 (forall @t84 (=> @t76 @t82))))))) % 168.89/169.63 (define @t86 () (_ @t55 @t75)) % 168.89/169.63 (define @t87 () (_ @t86 @t69)) % 168.89/169.63 (define @t88 () (lambda @t67 (forall @t78 (=> @t71 (exists @t84 (and @t76 @t87)))))) % 168.89/169.63 (define @t89 () (lambda @t67 (forall @t78 (=> @t80 (or @t77 @t82 @t87))))) % 168.89/169.63 (define @t90 () (lambda @t67 (forall @t78 (=> @t80 (exists @t59 (and (_ @t70 @t53) (_ @t86 @t53))))))) % 168.89/169.63 (define @t91 () (forall @t51 @t27)) % 168.89/169.63 (define @t92 () (@list @t12)) % 168.89/169.63 (define @t93 () (lambda @t92 @t91)) % 168.89/169.63 (define @t94 () (lambda @t92 (forall @t51 @t28))) % 168.89/169.63 (define @t95 () (lambda @t92 (exists @t51 @t27))) % 168.89/169.63 (define @t96 () (lambda @t92 (exists @t51 @t28))) % 168.89/169.63 (define @t97 () (lambda @t5 (not @t4))) % 168.89/169.63 (define @t98 () (@var "Z" tptp.reg)) % 168.89/169.63 (define @t99 () (_ tptp.c @t98)) % 168.89/169.63 (define @t100 () (_ @t99 @t3)) % 168.89/169.63 (define @t101 () (_ @t99 @t1)) % 168.89/169.63 (define @t102 () (@list @t98)) % 168.89/169.63 (define @t103 () (forall @t102 (=> @t101 @t100))) % 168.89/169.63 (define @t104 () (lambda @t5 @t103)) % 168.89/169.63 (define @t105 () (_ (_ tptp.p @t3) @t1)) % 168.89/169.63 (define @t106 () (_ (_ tptp.p @t1) @t3)) % 168.89/169.63 (define @t107 () (and @t106 @t105)) % 168.89/169.63 (define @t108 () (lambda @t5 @t107)) % 168.89/169.63 (define @t109 () (_ tptp.p @t98)) % 168.89/169.63 (define @t110 () (and (_ @t109 @t1) (_ @t109 @t3))) % 168.89/169.63 (define @t111 () (exists @t102 @t110)) % 168.89/169.63 (define @t112 () (lambda @t5 @t111)) % 168.89/169.63 (define @t113 () (not @t105)) % 168.89/169.63 (define @t114 () (_ (_ tptp.o @t1) @t3)) % 168.89/169.63 (define @t115 () (lambda @t5 (and @t114 (not @t106) @t113))) % 168.89/169.63 (define @t116 () (not @t114)) % 168.89/169.63 (define @t117 () (and @t4 @t116)) % 168.89/169.63 (define @t118 () (lambda @t5 @t117)) % 168.89/169.63 (define @t119 () (and @t106 @t113)) % 168.89/169.63 (define @t120 () (lambda @t5 @t119)) % 168.89/169.63 (define @t121 () (_ tptp.ec @t98)) % 168.89/169.63 (define @t122 () (and (_ @t121 @t1) (_ @t121 @t3))) % 168.89/169.63 (define @t123 () (exists @t102 @t122)) % 168.89/169.63 (define @t124 () (_ (_ tptp.pp @t1) @t3)) % 168.89/169.63 (define @t125 () (and @t124 @t123)) % 168.89/169.63 (define @t126 () (lambda @t5 @t125)) % 168.89/169.63 (define @t127 () (not @t123)) % 168.89/169.63 (define @t128 () (and @t124 @t127)) % 168.89/169.63 (define @t129 () (lambda @t5 @t128)) % 168.89/169.63 (define @t130 () (@list @t22 @t53)) % 168.89/169.63 (define @t131 () (forall @t130 (not (_ (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (_ (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))) (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))) @t22) @t53)))) % 168.89/169.63 (define @t132 () (@var "BOUND_VARIABLE_8328" tptp.reg)) % 168.89/169.63 (define @t133 () (@const 3 (@ho-elim-sort (-> tptp.reg tptp.reg Bool)))) % 168.89/169.63 (define @t134 () (@const 4 (-> (@ho-elim-sort (-> tptp.reg tptp.reg Bool)) tptp.reg (@ho-elim-sort (-> tptp.reg Bool))))) % 168.89/169.63 (define @t135 () (_ @t134 @t133 @t132)) % 168.89/169.63 (define @t136 () (@const 5 (-> (@ho-elim-sort (-> tptp.reg Bool)) tptp.reg Bool))) % 168.89/169.63 (define @t137 () (_ @t136 @t135 tptp.spain)) % 168.89/169.63 (define @t138 () (_ @t136 @t135 @t98)) % 168.89/169.63 (define @t139 () (not @t138)) % 168.89/169.63 (define @t140 () (@list @t132)) % 168.89/169.63 (define @t141 () (not (forall @t140 (or @t139 @t137)))) % 168.89/169.63 (define @t142 () (_ @t136 @t135 tptp.france)) % 168.89/169.63 (define @t143 () (not (forall @t140 (or @t139 @t142)))) % 168.89/169.63 (define @t144 () (or @t143 @t141)) % 168.89/169.63 (define @t145 () (forall @t102 @t144)) % 168.89/169.63 (define @t146 () (_ @t134 @t133 @t98)) % 168.89/169.63 (define @t147 () (_ @t136 @t146 tptp.catalunya)) % 168.89/169.63 (define @t148 () (_ @t136 @t146 tptp.paris)) % 168.89/169.63 (define @t149 () (not @t148)) % 168.89/169.63 (define @t150 () (not @t147)) % 168.89/169.63 (define @t151 () (not (tptp.a @t22 @t53))) % 168.89/169.63 (define @t152 () (forall @t130 @t151)) % 168.89/169.63 (define @t153 () (tptp.c @t132 tptp.spain)) % 168.89/169.63 (define @t154 () (tptp.c @t132 @t98)) % 168.89/169.63 (define @t155 () (not @t154)) % 168.89/169.63 (define @t156 () (tptp.c @t132 tptp.france)) % 168.89/169.63 (define @t157 () (not (forall @t140 (or @t155 @t156)))) % 168.89/169.63 (define @t158 () (not (forall @t102 (or @t157 (not (forall @t140 (or @t155 @t153))))))) % 168.89/169.63 (define @t159 () (tptp.c @t98 tptp.catalunya)) % 168.89/169.63 (define @t160 () (tptp.c @t98 tptp.paris)) % 168.89/169.63 (define @t161 () (not @t160)) % 168.89/169.63 (define @t162 () (forall @t102 (or @t161 @t159))) % 168.89/169.63 (define @t163 () (not @t162)) % 168.89/169.63 (define @t164 () (not @t159)) % 168.89/169.63 (define @t165 () (forall @t102 (or @t164 @t160))) % 168.89/169.63 (define @t166 () (not @t165)) % 168.89/169.63 (define @t167 () (forall @t59 @t151)) % 168.89/169.63 (define @t168 () (forall @t51 @t167)) % 168.89/169.63 (define @t169 () (or @t166 @t163 @t158 @t168)) % 168.89/169.63 (define @t170 () (or @t166 @t163 @t158 @t167)) % 168.89/169.63 (define @t171 () (lambda @t51 @t170)) % 168.89/169.63 (define @t172 () (_ @t171 @t22)) % 168.89/169.63 (define @t173 () (forall @t51 @t172)) % 168.89/169.63 (define @t174 () (_ @t12 @t22)) % 168.89/169.63 (define @t175 () (lambda @t92 (forall @t51 @t174))) % 168.89/169.63 (define @t176 () (or @t166 @t163 @t158 @t151)) % 168.89/169.63 (define @t177 () (or @t151 @t166 @t163 @t158)) % 168.89/169.63 (define @t178 () (or @t166 @t163 @t158)) % 168.89/169.63 (define @t179 () (and @t165 @t162)) % 168.89/169.63 (define @t180 () (=> @t179 @t158)) % 168.89/169.63 (define @t181 () (or @t151 @t180)) % 168.89/169.63 (define @t182 () (lambda @t14 @t180)) % 168.89/169.63 (define @t183 () (_ @t182 @t53)) % 168.89/169.63 (define @t184 () (or @t151 @t183)) % 168.89/169.63 (define @t185 () (forall @t59 @t184)) % 168.89/169.63 (define @t186 () (lambda @t51 @t185)) % 168.89/169.63 (define @t187 () (_ @t12 @t53)) % 168.89/169.63 (define @t188 () (lambda @t29 (forall @t59 (or @t151 @t187)))) % 168.89/169.63 (define @t189 () (tptp.c @t132 @t3)) % 168.89/169.63 (define @t190 () (forall @t140 (or @t155 @t189))) % 168.89/169.63 (define @t191 () (not @t190)) % 168.89/169.63 (define @t192 () (@list @t3)) % 168.89/169.63 (define @t193 () (lambda @t192 (not (forall @t102 (or @t157 @t191))))) % 168.89/169.63 (define @t194 () (tptp.c @t132 @t1)) % 168.89/169.63 (define @t195 () (forall @t140 (or @t155 @t194))) % 168.89/169.63 (define @t196 () (forall @t102 (or (not @t195) @t191))) % 168.89/169.63 (define @t197 () (not @t196)) % 168.89/169.63 (define @t198 () (lambda @t5 @t197)) % 168.89/169.63 (define @t199 () (_ @t198 tptp.france)) % 168.89/169.63 (define @t200 () (tptp.c @t98 @t3)) % 168.89/169.63 (define @t201 () (not @t200)) % 168.89/169.63 (define @t202 () (forall @t102 (or @t201 @t159))) % 168.89/169.63 (define @t203 () (forall @t102 (or @t164 @t200))) % 168.89/169.63 (define @t204 () (lambda @t192 (and @t203 @t202))) % 168.89/169.63 (define @t205 () (tptp.c @t98 @t1)) % 168.89/169.63 (define @t206 () (forall @t102 (or @t201 @t205))) % 168.89/169.63 (define @t207 () (not @t205)) % 168.89/169.63 (define @t208 () (forall @t102 (or @t207 @t200))) % 168.89/169.63 (define @t209 () (_ (lambda @t5 (and @t208 @t206)) tptp.catalunya)) % 168.89/169.63 (define @t210 () (=> (_ @t209 tptp.paris) (_ @t199 tptp.spain))) % 168.89/169.63 (define @t211 () (lambda @t14 @t210)) % 168.89/169.63 (define @t212 () (_ @t55 @t22 @t53)) % 168.89/169.63 (define @t213 () (_ (lambda @t61 (forall @t59 (or (not @t212) @t187))) tptp.a)) % 168.89/169.63 (define @t214 () (and @t195 @t190)) % 168.89/169.63 (define @t215 () (forall @t102 (not @t214))) % 168.89/169.63 (define @t216 () (not @t215)) % 168.89/169.63 (define @t217 () (lambda @t192 @t190)) % 168.89/169.63 (define @t218 () (@list @t98)) % 168.89/169.63 (define @t219 () (@list @t132)) % 168.89/169.63 (define @t220 () (lambda @t5 @t208)) % 168.89/169.63 (define @t221 () (_ @t220 @t98)) % 168.89/169.63 (define @t222 () (and (_ @t221 @t1) (_ @t221 @t3))) % 168.89/169.63 (define @t223 () (not @t101)) % 168.89/169.63 (define @t224 () (or @t223 @t100)) % 168.89/169.63 (define @t225 () (@var "BOUND_VARIABLE_8290" tptp.reg)) % 168.89/169.63 (define @t226 () (tptp.c @t98 @t225)) % 168.89/169.63 (define @t227 () (lambda (@list @t225) (forall @t102 (or @t201 @t226)))) % 168.89/169.63 (define @t228 () (lambda @t192 @t208)) % 168.89/169.63 (define @t229 () (_ @t220 @t1)) % 168.89/169.63 (define @t230 () (_ (_ @t220 @t3) @t1)) % 168.89/169.63 (define @t231 () (_ @t229 @t3)) % 168.89/169.63 (define @t232 () (or @t141 @t143)) % 168.89/169.63 (define @t233 () (forall @t102 @t232)) % 168.89/169.63 (define @t234 () (@list false)) % 168.89/169.63 (define @t235 () (_ @t136 @t146 tptp.spain)) % 168.89/169.63 (define @t236 () (not @t235)) % 168.89/169.63 (define @t237 () (forall @t102 (or @t150 @t235))) % 168.89/169.63 (define @t238 () (@var "BOUND_VARIABLE_8441" tptp.reg)) % 168.89/169.63 (define @t239 () (not (_ @t136 @t135 @t238))) % 168.89/169.63 (define @t240 () (not (forall @t140 (or @t239 @t138)))) % 168.89/169.63 (define @t241 () (@list @t238)) % 168.89/169.63 (define @t242 () (_ @t136 @t135 tptp.catalunya)) % 168.89/169.63 (define @t243 () (and (not (forall @t102 (or @t150 (not (forall @t241 (or @t240 (not (forall @t140 (or @t239 @t242)))))) @t236 (not (forall @t241 (or @t240 (not (forall @t140 (or @t239 @t137))))))))) @t237 (not (forall @t102 (or @t236 @t147))))) % 168.89/169.63 (define @t244 () (tptp.c @t98 tptp.spain)) % 168.89/169.63 (define @t245 () (not @t244)) % 168.89/169.63 (define @t246 () (not (tptp.c @t132 @t238))) % 168.89/169.63 (define @t247 () (not (forall @t140 (or @t246 @t154)))) % 168.89/169.63 (define @t248 () (not (forall @t241 (or @t247 (not (forall @t140 (or @t246 (tptp.c @t132 tptp.catalunya)))))))) % 168.89/169.63 (define @t249 () (and (not (forall @t102 (or @t164 @t248 @t245 (not (forall @t241 (or @t247 (not (forall @t140 (or @t246 @t153))))))))) (forall @t102 (or @t164 @t244)) (not (forall @t102 (or @t245 @t159))))) % 168.89/169.63 (define @t250 () (or @t249 @t168)) % 168.89/169.63 (define @t251 () (or @t249 @t167)) % 168.89/169.63 (define @t252 () (lambda @t51 @t251)) % 168.89/169.63 (define @t253 () (_ @t252 @t22)) % 168.89/169.63 (define @t254 () (forall @t51 @t253)) % 168.89/169.63 (define @t255 () (or @t249 @t151)) % 168.89/169.63 (define @t256 () (or @t151 @t249)) % 168.89/169.63 (define @t257 () (lambda @t14 @t249)) % 168.89/169.63 (define @t258 () (_ @t257 @t53)) % 168.89/169.63 (define @t259 () (or @t151 @t258)) % 168.89/169.63 (define @t260 () (forall @t59 @t259)) % 168.89/169.63 (define @t261 () (lambda @t51 @t260)) % 168.89/169.63 (define @t262 () (not (forall @t140 (or @t246 @t189)))) % 168.89/169.63 (define @t263 () (forall @t241 (or @t247 @t262))) % 168.89/169.63 (define @t264 () (not @t263)) % 168.89/169.63 (define @t265 () (lambda @t192 (and (not (forall @t102 (or @t164 @t248 @t201 @t264))) @t203 (not @t202)))) % 168.89/169.63 (define @t266 () (not @t206)) % 168.89/169.63 (define @t267 () (not (forall @t140 (or @t246 @t194)))) % 168.89/169.63 (define @t268 () (forall @t241 (or @t247 @t267))) % 168.89/169.63 (define @t269 () (not @t268)) % 168.89/169.63 (define @t270 () (forall @t102 (or @t207 @t269 @t201 @t264))) % 168.89/169.63 (define @t271 () (not @t270)) % 168.89/169.63 (define @t272 () (and @t271 @t208 @t266)) % 168.89/169.63 (define @t273 () (_ (lambda @t5 @t272) tptp.catalunya)) % 168.89/169.63 (define @t274 () (and @t208 @t266)) % 168.89/169.63 (define @t275 () (not @t100)) % 168.89/169.63 (define @t276 () (or @t223 @t269 @t275 @t264)) % 168.89/169.63 (define @t277 () (and @t100 @t263)) % 168.89/169.63 (define @t278 () (and @t101 @t268 @t100 @t263)) % 168.89/169.63 (define @t279 () (forall @t102 (not @t278))) % 168.89/169.63 (define @t280 () (not @t279)) % 168.89/169.63 (define @t281 () (and @t101 @t268)) % 168.89/169.63 (define @t282 () (lambda @t192 @t277)) % 168.89/169.63 (define @t283 () (and @t4 @t196)) % 168.89/169.63 (define @t284 () (lambda @t5 @t283)) % 168.89/169.63 (define @t285 () (_ @t284 @t98)) % 168.89/169.63 (define @t286 () (and (_ @t285 @t1) (_ @t285 @t3))) % 168.89/169.63 (define @t287 () (exists @t102 @t286)) % 168.89/169.63 (define @t288 () (lambda @t192 @t274)) % 168.89/169.63 (define @t289 () (_ (lambda @t5 @t274) @t1)) % 168.89/169.63 (define @t290 () (_ @t289 @t3)) % 168.89/169.63 (define @t291 () (lambda @t192 @t197)) % 168.89/169.63 (define @t292 () (_ @t198 @t1)) % 168.89/169.63 (define @t293 () (not (_ @t292 @t3))) % 168.89/169.63 (define @t294 () (not @t230)) % 168.89/169.63 (define @t295 () (@list true)) % 168.89/169.63 (define @t296 () (@list @t131)) % 168.89/169.63 (define @t297 () (not @t242)) % 168.89/169.63 (define @t298 () (forall @t140 (or @t297 @t137))) % 168.89/169.63 (define @t299 () (forall @t140 (or @t297 @t142))) % 168.89/169.63 (define @t300 () (not @t299)) % 168.89/169.63 (define @t301 () (not @t298)) % 168.89/169.63 (define @t302 () (or @t301 @t300)) % 168.89/169.63 (define @t303 () (@list false false)) % 168.89/169.63 (define @t304 () (@quantifiers_skolemize @t299 0)) % 168.89/169.63 (define @t305 () (_ @t134 @t133 @t304)) % 168.89/169.63 (define @t306 () (_ @t136 @t305 tptp.france)) % 168.89/169.63 (define @t307 () (_ @t136 @t305 tptp.catalunya)) % 168.89/169.63 (define @t308 () (not @t307)) % 168.89/169.63 (define @t309 () (or @t308 @t306)) % 168.89/169.63 (define @t310 () (@list @t309)) % 168.89/169.63 (define @t311 () (_ @t136 @t146 tptp.france)) % 168.89/169.63 (define @t312 () (not @t311)) % 168.89/169.63 (define @t313 () (forall @t102 (or @t149 @t311))) % 168.89/169.63 (define @t314 () (and (forall @t102 (or @t149 (not (forall @t241 (or @t240 (not (forall @t140 (or @t239 (_ @t136 @t135 tptp.paris))))))) @t312 (not (forall @t241 (or @t240 (not (forall @t140 (or @t239 @t142)))))))) @t313 (not (forall @t102 (or @t312 @t148))))) % 168.89/169.63 (define @t315 () (tptp.c @t98 tptp.france)) % 168.89/169.63 (define @t316 () (not @t315)) % 168.89/169.63 (define @t317 () (not (forall @t241 (or @t247 (not (forall @t140 (or @t246 (tptp.c @t132 tptp.paris)))))))) % 168.89/169.63 (define @t318 () (and (forall @t102 (or @t161 @t317 @t316 (not (forall @t241 (or @t247 (not (forall @t140 (or @t246 @t156)))))))) (forall @t102 (or @t161 @t315)) (not (forall @t102 (or @t316 @t160))))) % 168.89/169.63 (define @t319 () (or @t318 @t168)) % 168.89/169.63 (define @t320 () (or @t318 @t167)) % 168.89/169.63 (define @t321 () (lambda @t51 @t320)) % 168.89/169.63 (define @t322 () (_ @t321 @t22)) % 168.89/169.63 (define @t323 () (forall @t51 @t322)) % 168.89/169.63 (define @t324 () (or @t318 @t151)) % 168.89/169.63 (define @t325 () (or @t151 @t318)) % 168.89/169.63 (define @t326 () (lambda @t14 @t318)) % 168.89/169.63 (define @t327 () (_ @t326 @t53)) % 168.89/169.63 (define @t328 () (or @t151 @t327)) % 168.89/169.63 (define @t329 () (forall @t59 @t328)) % 168.89/169.63 (define @t330 () (lambda @t51 @t329)) % 168.89/169.63 (define @t331 () (lambda @t192 (and (forall @t102 (or @t161 @t317 @t201 @t264)) (forall @t102 (or @t161 @t200)) (not (forall @t102 (or @t201 @t160)))))) % 168.89/169.63 (define @t332 () (and @t270 @t208 @t266)) % 168.89/169.63 (define @t333 () (_ (lambda @t5 @t332) tptp.paris)) % 168.89/169.63 (define @t334 () (not @t287)) % 168.89/169.63 (define @t335 () (@list @t304)) % 168.89/169.63 (define @t336 () (_ @t136 @t305 tptp.paris)) % 168.89/169.63 (define @t337 () (or @t308 @t336)) % 168.89/169.63 (define @t338 () (not @t336)) % 168.89/169.63 (define @t339 () (or @t338 @t306)) % 168.89/169.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 168.89/169.63 (assume @p2 (forall (@list @t1) (_ @t2 @t1))) % 168.89/169.63 (assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1)))) % 168.89/169.63 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 @t7) @t6))))) % 168.89/169.63 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 (_ @t8 @t9)) @t6))))) % 168.89/169.63 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t12 @t6) (_ (_ (_ tptp.mimplies (_ @t8 @t12)) (_ @t13 @t12)) @t6))))) % 168.89/169.63 (assume @p7 (_ tptp.mvalid (_ @t13 @t15))) % 168.89/169.63 (assume @p8 (_ tptp.mvalid (_ @t8 (lambda @t14 (_ (_ tptp.ec tptp.spain) tptp.france))))) % 168.89/169.63 (assume @p9 (_ tptp.mvalid (_ @t13 @t16))) % 168.89/169.63 (assume @p10 @t19) % 168.89/169.63 (assume @p11 true) % 168.89/169.63 (step @p12 (= tptp.meq_ind @t23) :rule refl :args (@t23)) % 168.89/169.63 (step @p13 (= tptp.meq_prop @t26) :rule refl :args (@t26)) % 168.89/169.63 (step @p14 (= tptp.mnot @t30) :rule refl :args (@t30)) % 168.89/169.63 (step @p15 (= tptp.mor @t32) :rule refl :args (@t32)) % 168.89/169.63 (step @p16 (= tptp.mand @t37) :rule refl :args (@t37)) % 168.89/169.63 (step @p17 (= tptp.mimplies @t38) :rule refl :args (@t38)) % 168.89/169.63 (step @p18 (= tptp.mimplied @t39) :rule refl :args (@t39)) % 168.89/169.63 (step @p19 (= tptp.mequiv @t40) :rule refl :args (@t40)) % 168.89/169.63 (step @p20 (= tptp.mxor @t41) :rule refl :args (@t41)) % 168.89/169.63 (step @p21 (= tptp.mforall_ind @t44) :rule refl :args (@t44)) % 168.89/169.63 (step @p22 (= tptp.mforall_prop @t48) :rule refl :args (@t48)) % 168.89/169.63 (step @p23 (= tptp.mexists_ind @t49) :rule refl :args (@t49)) % 168.89/169.63 (step @p24 (= tptp.mexists_prop @t50) :rule refl :args (@t50)) % 168.89/169.63 (step @p25 (= tptp.mtrue @t52) :rule refl :args (@t52)) % 168.89/169.63 (step @p26 (= tptp.mbox @t62) :rule refl :args (@t62)) % 168.89/169.63 (step @p27 (= tptp.mdia @t63) :rule refl :args (@t63)) % 168.89/169.63 (step @p28 (= tptp.mreflexive @t68) :rule refl :args (@t68)) % 168.89/169.63 (step @p29 (= tptp.msymmetric @t72) :rule refl :args (@t72)) % 168.89/169.63 (step @p30 (= tptp.mserial @t74) :rule refl :args (@t74)) % 168.89/169.63 (step @p31 (= tptp.mtransitive @t79) :rule refl :args (@t79)) % 168.89/169.63 (step @p32 (= tptp.meuclidean @t81) :rule refl :args (@t81)) % 168.89/169.63 (step @p33 (= tptp.mpartially_functional @t83) :rule refl :args (@t83)) % 168.89/169.63 (step @p34 (= tptp.mfunctional @t85) :rule refl :args (@t85)) % 168.89/169.63 (step @p35 (= tptp.mweakly_dense @t88) :rule refl :args (@t88)) % 168.89/169.63 (step @p36 (= tptp.mweakly_connected @t89) :rule refl :args (@t89)) % 168.89/169.63 (step @p37 (= tptp.mweakly_directed @t90) :rule refl :args (@t90)) % 168.89/169.63 (step @p38 (= tptp.mvalid @t93) :rule refl :args (@t93)) % 168.89/169.63 (step @p39 (= tptp.minvalid @t94) :rule refl :args (@t94)) % 168.89/169.63 (step @p40 (= tptp.msatisfiable @t95) :rule refl :args (@t95)) % 168.89/169.63 (step @p41 (= tptp.mcountersatisfiable @t96) :rule refl :args (@t96)) % 168.89/169.63 (step @p42 (= tptp.dc @t97) :rule refl :args (@t97)) % 168.89/169.63 (step @p43 (= tptp.p @t104) :rule refl :args (@t104)) % 168.89/169.63 (step @p44 (= tptp.eq @t108) :rule refl :args (@t108)) % 168.89/169.63 (step @p45 (= tptp.o @t112) :rule refl :args (@t112)) % 168.89/169.63 (step @p46 (= tptp.po @t115) :rule refl :args (@t115)) % 168.89/169.63 (step @p47 (= tptp.ec @t118) :rule refl :args (@t118)) % 168.89/169.63 (step @p48 (= tptp.pp @t120) :rule refl :args (@t120)) % 168.89/169.63 (step @p49 (= tptp.tpp @t126) :rule refl :args (@t126)) % 168.89/169.63 (step @p50 (= tptp.ntpp @t129) :rule refl :args (@t129)) % 168.89/169.63 ; WARNING: add trust step for TRUST % 168.89/169.63 ; trust TRUST PREPROCESS_HO_ELIM % 168.89/169.63 (step @p51 :rule trust :premises () :args ((= (not (or @t166 @t163 @t158 @t152)) (not (or (not (forall @t102 (or @t150 @t148))) (not (forall @t102 (or @t149 @t147))) (not @t145) @t131))))) % 168.89/169.63 (step @p52 :rule quant-merge-prenex :args ((= @t168 @t152))) % 168.89/169.63 (step @p53 :rule refl :args (@t158)) % 168.89/169.63 (step @p54 :rule refl :args (@t163)) % 168.89/169.63 (step @p55 :rule refl :args (@t166)) % 168.89/169.63 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52) :args (@t169)) % 168.89/169.63 (step @p57 :rule quant-miniscope-or :args ((= (forall @t51 @t170) @t169))) % 168.89/169.63 (step @p58 :rule trans :premises (@p57 @p56)) % 168.89/169.63 (step @p59 :rule beta-reduce :args ((= @t172 @t170))) % 168.89/169.63 (step @p60 :rule cong :premises (@p59) :args (@t173)) % 168.89/169.63 (step @p61 :rule trans :premises (@p60 @p58)) % 168.89/169.63 (step @p62 :rule beta-reduce :args ((= (_ @t175 @t171) @t173))) % 168.89/169.63 (step @p63 :rule trans :premises (@p62 @p61)) % 168.89/169.63 (step @p64 :rule quant-miniscope-or :args ((= (forall @t59 @t176) @t170))) % 168.89/169.63 (step @p65 :rule aci_norm :args ((= @t177 @t176))) % 168.89/169.63 (step @p66 :rule cong :premises (@p65) :args ((forall @t59 @t177))) % 168.89/169.63 (step @p67 :rule trans :premises (@p66 @p64)) % 168.89/169.63 (step @p68 :rule aci_norm :args ((= (or @t151 @t178) @t177))) % 168.89/169.63 (step @p69 :rule aci_norm :args ((= (or (or @t166 @t163) @t158) @t178))) % 168.89/169.63 (step @p70 :rule refl :args (@t158)) % 168.89/169.63 (step @p71 :rule bool-and-de-morgan :args (@t165 @t162 true)) % 168.89/169.63 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t179) @t158))) % 168.89/169.63 (step @p73 :rule trans :premises (@p72 @p69)) % 168.89/169.63 (step @p74 :rule bool-impl-elim :args (@t179 @t158)) % 168.89/169.63 (step @p75 :rule trans :premises (@p74 @p73)) % 168.89/169.63 (step @p76 :rule refl :args (@t151)) % 168.89/169.63 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t181)) % 168.89/169.63 (step @p78 :rule trans :premises (@p77 @p68)) % 168.89/169.63 (step @p79 :rule cong :premises (@p78) :args ((forall @t59 @t181))) % 168.89/169.63 (step @p80 :rule trans :premises (@p79 @p67)) % 168.89/169.63 (step @p81 :rule beta-reduce :args ((= @t183 @t180))) % 168.89/169.63 (step @p82 :rule refl :args (@t151)) % 168.89/169.63 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t184)) % 168.89/169.63 (step @p84 :rule cong :premises (@p83) :args (@t185)) % 168.89/169.63 (step @p85 :rule trans :premises (@p84 @p80)) % 168.89/169.63 (step @p86 :rule cong :premises (@p85) :args (@t186)) % 168.89/169.63 (step @p87 :rule beta-reduce :args ((= (_ @t188 @t182) @t186))) % 168.89/169.63 (step @p88 :rule trans :premises (@p87 @p86)) % 168.89/169.63 (step @p89 :rule beta-reduce :args ((= (_ @t193 tptp.spain) @t158))) % 168.89/169.63 (step @p90 :rule refl :args (tptp.spain)) % 168.89/169.63 (step @p91 :rule beta-reduce :args ((= @t199 @t193))) % 168.89/169.63 (step @p92 :rule ho_cong :premises (@p91 @p90)) % 168.89/169.63 (step @p93 :rule trans :premises (@p92 @p89)) % 168.89/169.63 (step @p94 :rule beta-reduce :args ((= (_ @t204 tptp.paris) @t179))) % 168.89/169.63 (step @p95 :rule refl :args (tptp.paris)) % 168.89/169.63 (step @p96 :rule beta-reduce :args ((= @t209 @t204))) % 168.89/169.63 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 168.89/169.63 (step @p98 :rule trans :premises (@p97 @p94)) % 168.89/169.63 (step @p99 :rule cong :premises (@p98 @p93) :args (@t210)) % 168.89/169.63 (step @p100 :rule cong :premises (@p99) :args (@t211)) % 168.89/169.63 (step @p101 :rule beta-reduce :args ((= @t213 @t188))) % 168.89/169.63 (step @p102 :rule ho_cong :premises (@p101 @p100)) % 168.89/169.63 (step @p103 :rule trans :premises (@p102 @p88)) % 168.89/169.63 (step @p104 :rule refl :args (@t175)) % 168.89/169.63 (step @p105 :rule ho_cong :premises (@p104 @p103)) % 168.89/169.63 (step @p106 :rule trans :premises (@p105 @p63)) % 168.89/169.63 (step @p107 :rule cong :premises (@p106) :args ((not (_ @t175 (_ @t213 @t211))))) % 168.89/169.63 (step @p108 :rule refl :args (tptp.france)) % 168.89/169.63 (step @p109 :rule bool-and-de-morgan :args (@t195 @t190 true)) % 168.89/169.63 (step @p110 :rule cong :premises (@p109) :args (@t215)) % 168.89/169.63 (step @p111 :rule cong :premises (@p110) :args (@t216)) % 168.89/169.63 (step @p112 :rule exists-elim :args ((= (exists @t102 @t214) @t216))) % 168.89/169.63 (step @p113 :rule trans :premises (@p112 @p111)) % 168.89/169.63 (step @p114 :rule beta-reduce :args ((= (_ @t217 @t3) @t190))) % 168.89/169.63 (step @p115 :rule refl :args (@t3)) % 168.89/169.63 (step @p116 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t140 (or (not @t194) @t189))) @t98) @t217))) % 168.89/169.63 (step @p117 :rule refl :args (@t98)) % 168.89/169.63 (step @p118 :rule alpha_equiv :args (@t208 @t218 @t219)) % 168.89/169.63 (step @p119 :rule cong :premises (@p118) :args (@t220)) % 168.89/169.63 (step @p120 :rule ho_cong :premises (@p119 @p117)) % 168.89/169.63 (step @p121 :rule trans :premises (@p120 @p116)) % 168.89/169.63 (step @p122 :rule ho_cong :premises (@p121 @p115)) % 168.89/169.63 (step @p123 :rule trans :premises (@p122 @p114)) % 168.89/169.63 (step @p124 :rule beta-reduce :args ((= (_ @t217 @t1) @t195))) % 168.89/169.63 (step @p125 :rule refl :args (@t1)) % 168.89/169.63 (step @p126 :rule ho_cong :premises (@p121 @p125)) % 168.89/169.63 (step @p127 :rule trans :premises (@p126 @p124)) % 168.89/169.63 (step @p128 :rule nary_cong :premises (@p127 @p123) :args (@t222)) % 168.89/169.63 (step @p129 :rule cong :premises (@p128) :args ((exists @t102 @t222))) % 168.89/169.63 (step @p130 :rule trans :premises (@p129 @p113)) % 168.89/169.63 (step @p131 :rule refl :args (@t98)) % 168.89/169.63 (step @p132 :rule refl :args (@t200)) % 168.89/169.63 (step @p133 :rule refl :args (@t100)) % 168.89/169.63 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t100 @t200))) % 168.89/169.63 (step @p135 :rule symm :premises (@p134)) % 168.89/169.63 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 168.89/169.63 (step @p137 :rule refl :args (@t205)) % 168.89/169.63 (step @p138 :rule refl :args (@t101)) % 168.89/169.63 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t101 @t205))) % 168.89/169.63 (step @p140 :rule symm :premises (@p139)) % 168.89/169.63 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 168.89/169.63 (step @p142 :rule cong :premises (@p141) :args (@t223)) % 168.89/169.63 (step @p143 :rule nary_cong :premises (@p142 @p136) :args (@t224)) % 168.89/169.63 (step @p144 :rule cong :premises (@p143) :args ((forall @t102 @t224))) % 168.89/169.63 (step @p145 :rule bool-impl-elim :args (@t101 @t100)) % 168.89/169.63 (step @p146 :rule cong :premises (@p145) :args (@t103)) % 168.89/169.63 (step @p147 :rule trans :premises (@p146 @p144)) % 168.89/169.63 (step @p148 :rule cong :premises (@p147) :args (@t104)) % 168.89/169.63 (step @p149 :rule trans :premises (@p43 @p148)) % 168.89/169.63 (step @p150 :rule ho_cong :premises (@p149 @p131)) % 168.89/169.63 (step @p151 :rule ho_cong :premises (@p150 @p115)) % 168.89/169.63 (step @p152 :rule ho_cong :premises (@p150 @p125)) % 168.89/169.63 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t110)) % 168.89/169.63 (step @p154 :rule cong :premises (@p153) :args (@t111)) % 168.89/169.63 (step @p155 :rule trans :premises (@p154 @p130)) % 168.89/169.63 (step @p156 :rule cong :premises (@p155) :args (@t112)) % 168.89/169.63 (step @p157 :rule trans :premises (@p45 @p156)) % 168.89/169.63 (step @p158 :rule ho_cong :premises (@p157 @p108)) % 168.89/169.63 (step @p159 :rule ho_cong :premises (@p158 @p90)) % 168.89/169.63 (step @p160 :rule refl :args (tptp.catalunya)) % 168.89/169.63 (step @p161 :rule beta-reduce :args ((= (_ @t227 @t1) @t206))) % 168.89/169.63 (step @p162 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t225) (forall @t102 (or @t207 @t226))) @t3) @t227))) % 168.89/169.63 (step @p163 :rule refl :args (@t3)) % 168.89/169.63 (step @p164 :rule alpha_equiv :args (@t220 (@list @t3) (@list @t225))) % 168.89/169.63 (step @p165 :rule ho_cong :premises (@p164 @p163)) % 168.89/169.63 (step @p166 :rule trans :premises (@p165 @p162)) % 168.89/169.63 (step @p167 :rule ho_cong :premises (@p166 @p125)) % 168.89/169.63 (step @p168 :rule trans :premises (@p167 @p161)) % 168.89/169.63 (step @p169 :rule beta-reduce :args ((= (_ @t228 @t3) @t208))) % 168.89/169.63 (step @p170 :rule beta-reduce :args ((= @t229 @t228))) % 168.89/169.63 (step @p171 :rule ho_cong :premises (@p170 @p115)) % 168.89/169.63 (step @p172 :rule trans :premises (@p171 @p169)) % 168.89/169.63 (step @p173 :rule nary_cong :premises (@p172 @p168) :args ((and @t231 @t230))) % 168.89/169.63 (step @p174 :rule ho_cong :premises (@p149 @p115)) % 168.89/169.63 (step @p175 :rule ho_cong :premises (@p174 @p125)) % 168.89/169.63 (step @p176 :rule ho_cong :premises (@p149 @p125)) % 168.89/169.63 (step @p177 :rule ho_cong :premises (@p176 @p115)) % 168.89/169.63 (step @p178 :rule nary_cong :premises (@p177 @p175) :args (@t107)) % 168.89/169.63 (step @p179 :rule trans :premises (@p178 @p173)) % 168.89/169.63 (step @p180 :rule cong :premises (@p179) :args (@t108)) % 168.89/169.63 (step @p181 :rule trans :premises (@p44 @p180)) % 168.89/169.63 (step @p182 :rule ho_cong :premises (@p181 @p160)) % 168.89/169.63 (step @p183 :rule ho_cong :premises (@p182 @p95)) % 168.89/169.63 (step @p184 :rule cong :premises (@p183 @p159) :args (@t17)) % 168.89/169.63 (step @p185 :rule cong :premises (@p184) :args (@t18)) % 168.89/169.63 (step @p186 :rule refl :args (tptp.a)) % 168.89/169.63 (step @p187 :rule refl :args (@t187)) % 168.89/169.63 (step @p188 :rule refl :args (@t54)) % 168.89/169.63 (step @p189 :rule cong :premises (@p188 @p187) :args ((= @t54 @t187))) % 168.89/169.63 (step @p190 :rule symm :premises (@p189)) % 168.89/169.63 (step @p191 :rule eq_resolve :premises (@p188 @p190)) % 168.89/169.63 (step @p192 :rule refl :args (@t212)) % 168.89/169.63 (step @p193 :rule refl :args (@t56)) % 168.89/169.63 (step @p194 :rule cong :premises (@p193 @p192) :args ((= @t56 @t212))) % 168.89/169.63 (step @p195 :rule symm :premises (@p194)) % 168.89/169.63 (step @p196 :rule eq_resolve :premises (@p193 @p195)) % 168.89/169.63 (step @p197 :rule cong :premises (@p196) :args (@t57)) % 168.89/169.63 (step @p198 :rule nary_cong :premises (@p197 @p191) :args (@t58)) % 168.89/169.63 (step @p199 :rule cong :premises (@p198) :args (@t60)) % 168.89/169.63 (step @p200 :rule cong :premises (@p199) :args (@t62)) % 168.89/169.63 (step @p201 :rule trans :premises (@p26 @p200)) % 168.89/169.63 (step @p202 :rule ho_cong :premises (@p201 @p186)) % 168.89/169.63 (step @p203 :rule ho_cong :premises (@p202 @p185)) % 168.89/169.63 (step @p204 :rule refl :args (@t174)) % 168.89/169.63 (step @p205 :rule refl :args (@t27)) % 168.89/169.63 (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t27 @t174))) % 168.89/169.63 (step @p207 :rule symm :premises (@p206)) % 168.89/169.63 (step @p208 :rule eq_resolve :premises (@p205 @p207)) % 168.89/169.63 (step @p209 :rule cong :premises (@p208) :args (@t91)) % 168.89/169.63 (step @p210 :rule cong :premises (@p209) :args (@t93)) % 168.89/169.63 (step @p211 :rule trans :premises (@p38 @p210)) % 168.89/169.63 (step @p212 :rule ho_cong :premises (@p211 @p203)) % 168.89/169.63 (step @p213 :rule cong :premises (@p212) :args (@t19)) % 168.89/169.63 (step @p214 :rule trans :premises (@p213 @p107)) % 168.89/169.63 (step @p215 :rule trans :premises (@p214 @p51)) % 168.89/169.63 (step @p216 :rule eq_resolve :premises (@p10 @p215)) % 168.89/169.63 (step @p217 :rule not_or_elim :premises (@p216) :args (2)) % 168.89/169.63 (step @p218 :rule not_not_elim :premises (@p217)) % 168.89/169.63 (step @p219 :rule aci_norm :args ((= @t144 @t232))) % 168.89/169.63 (step @p220 :rule cong :premises (@p219) :args (@t145)) % 168.89/169.63 (step @p221 :rule true_intro :premises (@p220)) % 168.89/169.63 (step @p222 :rule eq-symm :args (@t233 @t145)) % 168.89/169.63 (step @p223 :rule trans :premises (@p222 @p221)) % 168.89/169.63 (step @p224 :rule true_elim :premises (@p223)) % 168.89/169.63 (step @p225 :rule equiv_elim2 :premises (@p224)) % 168.89/169.63 (step @p226 :rule chain_m_resolution :premises (@p225 @p218) :args (@t233 @t234 (@list @t145))) % 168.89/169.63 (step @p227 :rule instantiate :premises (@p226) :args ((@list tptp.catalunya))) % 168.89/169.63 (step @p228 :rule not_or_elim :premises (@p216) :args (3)) % 168.89/169.63 ; trust TRUST PREPROCESS_HO_ELIM % 168.89/169.63 (step @p229 :rule trust :premises () :args ((= (or @t249 @t152) (or @t243 @t131)))) % 168.89/169.63 (step @p230 :rule refl :args (@t249)) % 168.89/169.63 (step @p231 :rule nary_cong :premises (@p230 @p52) :args (@t250)) % 168.89/169.63 (step @p232 :rule quant-miniscope-or :args ((= (forall @t51 @t251) @t250))) % 168.89/169.63 (step @p233 :rule trans :premises (@p232 @p231)) % 168.89/169.63 (step @p234 :rule beta-reduce :args ((= @t253 @t251))) % 168.89/169.63 (step @p235 :rule cong :premises (@p234) :args (@t254)) % 168.89/169.63 (step @p236 :rule trans :premises (@p235 @p233)) % 168.89/169.63 (step @p237 :rule beta-reduce :args ((= (_ @t175 @t252) @t254))) % 168.89/169.63 (step @p238 :rule trans :premises (@p237 @p236)) % 168.89/169.63 (step @p239 :rule quant-miniscope-or :args ((= (forall @t59 @t255) @t251))) % 168.89/169.63 (step @p240 :rule aci_norm :args ((= @t256 @t255))) % 168.89/169.63 (step @p241 :rule cong :premises (@p240) :args ((forall @t59 @t256))) % 168.89/169.63 (step @p242 :rule trans :premises (@p241 @p239)) % 168.89/169.63 (step @p243 :rule beta-reduce :args ((= @t258 @t249))) % 168.89/169.63 (step @p244 :rule nary_cong :premises (@p82 @p243) :args (@t259)) % 168.89/169.63 (step @p245 :rule cong :premises (@p244) :args (@t260)) % 168.89/169.63 (step @p246 :rule trans :premises (@p245 @p242)) % 168.89/169.63 (step @p247 :rule cong :premises (@p246) :args (@t261)) % 168.89/169.63 (step @p248 :rule beta-reduce :args ((= (_ @t188 @t257) @t261))) % 168.89/169.63 (step @p249 :rule trans :premises (@p248 @p247)) % 168.89/169.63 (step @p250 :rule beta-reduce :args ((= (_ @t265 tptp.spain) @t249))) % 168.89/169.63 (step @p251 :rule beta-reduce :args ((= @t273 @t265))) % 168.89/169.63 (step @p252 :rule ho_cong :premises (@p251 @p90)) % 168.89/169.63 (step @p253 :rule trans :premises (@p252 @p250)) % 168.89/169.63 (step @p254 :rule cong :premises (@p253) :args ((lambda @t14 (_ @t273 tptp.spain)))) % 168.89/169.63 (step @p255 :rule ho_cong :premises (@p101 @p254)) % 168.89/169.63 (step @p256 :rule trans :premises (@p255 @p249)) % 168.89/169.63 (step @p257 :rule ho_cong :premises (@p104 @p256)) % 168.89/169.63 (step @p258 :rule trans :premises (@p257 @p238)) % 168.89/169.63 (step @p259 :rule aci_norm :args ((= (and @t274 @t271) @t272))) % 168.89/169.63 (step @p260 :rule refl :args (@t264)) % 168.89/169.63 (step @p261 :rule cong :premises (@p136) :args (@t275)) % 168.89/169.63 (step @p262 :rule refl :args (@t269)) % 168.89/169.63 (step @p263 :rule nary_cong :premises (@p142 @p262 @p261 @p260) :args (@t276)) % 168.89/169.63 (step @p264 :rule cong :premises (@p263) :args ((forall @t102 @t276))) % 168.89/169.63 (step @p265 :rule aci_norm :args ((= (or @t223 (or @t269 (or @t275 @t264))) @t276))) % 168.89/169.63 (step @p266 :rule bool-and-de-morgan :args (@t100 @t263 true)) % 168.89/169.63 (step @p267 :rule nary_cong :premises (@p262 @p266) :args ((or @t269 (not @t277)))) % 168.89/169.63 (step @p268 :rule bool-and-de-morgan :args (@t268 @t100 (and @t263))) % 168.89/169.63 (step @p269 :rule trans :premises (@p268 @p267)) % 168.89/169.63 (step @p270 :rule refl :args (@t223)) % 168.89/169.63 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t223 (not (and @t268 @t100 @t263))))) % 168.89/169.63 (step @p272 :rule bool-and-de-morgan :args (@t101 @t268 (and @t100 @t263))) % 168.89/169.63 (step @p273 :rule trans :premises (@p272 @p271)) % 168.89/169.63 (step @p274 :rule trans :premises (@p273 @p265)) % 168.89/169.63 (step @p275 :rule cong :premises (@p274) :args (@t279)) % 168.89/169.63 (step @p276 :rule trans :premises (@p275 @p264)) % 168.89/169.63 (step @p277 :rule cong :premises (@p276) :args (@t280)) % 168.89/169.63 (step @p278 :rule exists-elim :args ((= (exists @t102 @t278) @t280))) % 168.89/169.63 (step @p279 :rule trans :premises (@p278 @p277)) % 168.89/169.63 (step @p280 :rule aci_norm :args ((= (and @t281 @t277) @t278))) % 168.89/169.63 (step @p281 :rule beta-reduce :args ((= (_ @t282 @t3) @t277))) % 168.89/169.63 (step @p282 :rule beta-reduce :args ((= (_ (lambda @t5 (and @t4 (forall @t241 (or @t267 @t262)))) @t98) @t282))) % 168.89/169.63 (step @p283 :rule alpha_equiv :args (@t196 @t218 (@list @t238))) % 168.89/169.63 (step @p284 :rule refl :args (@t4)) % 168.89/169.63 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t283)) % 168.89/169.63 (step @p286 :rule cong :premises (@p285) :args (@t284)) % 168.89/169.63 (step @p287 :rule ho_cong :premises (@p286 @p117)) % 168.89/169.63 (step @p288 :rule trans :premises (@p287 @p282)) % 168.89/169.63 (step @p289 :rule ho_cong :premises (@p288 @p115)) % 168.89/169.63 (step @p290 :rule trans :premises (@p289 @p281)) % 168.89/169.63 (step @p291 :rule beta-reduce :args ((= (_ @t282 @t1) @t281))) % 168.89/169.63 (step @p292 :rule ho_cong :premises (@p288 @p125)) % 168.89/169.63 (step @p293 :rule trans :premises (@p292 @p291)) % 168.89/169.63 (step @p294 :rule nary_cong :premises (@p293 @p290) :args (@t286)) % 168.89/169.63 (step @p295 :rule trans :premises (@p294 @p280)) % 168.89/169.63 (step @p296 :rule cong :premises (@p295) :args (@t287)) % 168.89/169.63 (step @p297 :rule trans :premises (@p296 @p279)) % 168.89/169.63 (step @p298 :rule beta-reduce :args ((= (_ @t288 @t3) @t274))) % 168.89/169.63 (step @p299 :rule beta-reduce :args ((= @t289 @t288))) % 168.89/169.63 (step @p300 :rule ho_cong :premises (@p299 @p115)) % 168.89/169.63 (step @p301 :rule trans :premises (@p300 @p298)) % 168.89/169.63 (step @p302 :rule nary_cong :premises (@p301 @p297) :args ((and @t290 @t287))) % 168.89/169.63 (step @p303 :rule trans :premises (@p302 @p259)) % 168.89/169.63 (step @p304 :rule bool-double-not-elim :args (@t196)) % 168.89/169.63 (step @p305 :rule beta-reduce :args ((= (_ @t291 @t3) @t197))) % 168.89/169.63 (step @p306 :rule beta-reduce :args ((= @t292 @t291))) % 168.89/169.63 (step @p307 :rule ho_cong :premises (@p306 @p115)) % 168.89/169.63 (step @p308 :rule trans :premises (@p307 @p305)) % 168.89/169.63 (step @p309 :rule cong :premises (@p308) :args (@t293)) % 168.89/169.63 (step @p310 :rule trans :premises (@p309 @p304)) % 168.89/169.63 (step @p311 :rule refl :args (@t4)) % 168.89/169.63 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((and @t4 @t293))) % 168.89/169.63 (step @p313 :rule ho_cong :premises (@p157 @p125)) % 168.89/169.63 (step @p314 :rule ho_cong :premises (@p313 @p115)) % 168.89/169.63 (step @p315 :rule cong :premises (@p314) :args (@t116)) % 168.89/169.63 (step @p316 :rule nary_cong :premises (@p311 @p315) :args (@t117)) % 168.89/169.63 (step @p317 :rule trans :premises (@p316 @p312)) % 168.89/169.63 (step @p318 :rule cong :premises (@p317) :args (@t118)) % 168.89/169.63 (step @p319 :rule trans :premises (@p47 @p318)) % 168.89/169.63 (step @p320 :rule ho_cong :premises (@p319 @p131)) % 168.89/169.63 (step @p321 :rule ho_cong :premises (@p320 @p115)) % 168.89/169.63 (step @p322 :rule ho_cong :premises (@p320 @p125)) % 168.89/169.63 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t122)) % 168.89/169.63 (step @p324 :rule cong :premises (@p323) :args (@t123)) % 168.89/169.63 (step @p325 :rule cong :premises (@p168) :args (@t294)) % 168.89/169.63 (step @p326 :rule nary_cong :premises (@p172 @p325) :args ((and @t231 @t294))) % 168.89/169.63 (step @p327 :rule cong :premises (@p175) :args (@t113)) % 168.89/169.63 (step @p328 :rule nary_cong :premises (@p177 @p327) :args (@t119)) % 168.89/169.63 (step @p329 :rule trans :premises (@p328 @p326)) % 168.89/169.63 (step @p330 :rule cong :premises (@p329) :args (@t120)) % 168.89/169.63 (step @p331 :rule trans :premises (@p48 @p330)) % 168.89/169.63 (step @p332 :rule ho_cong :premises (@p331 @p125)) % 168.89/169.63 (step @p333 :rule ho_cong :premises (@p332 @p115)) % 168.89/169.63 (step @p334 :rule nary_cong :premises (@p333 @p324) :args (@t125)) % 168.89/169.63 (step @p335 :rule trans :premises (@p334 @p303)) % 168.89/169.63 (step @p336 :rule cong :premises (@p335) :args (@t126)) % 168.89/169.63 (step @p337 :rule trans :premises (@p49 @p336)) % 168.89/169.63 (step @p338 :rule ho_cong :premises (@p337 @p160)) % 168.89/169.63 (step @p339 :rule ho_cong :premises (@p338 @p90)) % 168.89/169.63 (step @p340 :rule cong :premises (@p339) :args (@t15)) % 168.89/169.63 (step @p341 :rule ho_cong :premises (@p202 @p340)) % 168.89/169.63 (step @p342 :rule ho_cong :premises (@p211 @p341)) % 168.89/169.63 (step @p343 :rule trans :premises (@p342 @p258)) % 168.89/169.63 (step @p344 :rule trans :premises (@p343 @p229)) % 168.89/169.63 (step @p345 :rule eq_resolve :premises (@p7 @p344)) % 168.89/169.63 (step @p346 :rule reordering :premises (@p345) :args ((or @t131 @t243))) % 168.89/169.63 (step @p347 :rule chain_m_resolution :premises (@p346 @p228) :args (@t243 @t295 @t296)) % 168.89/169.63 (step @p348 :rule cnf_and_pos :args (@t243 1)) % 168.89/169.63 (step @p349 :rule reordering :premises (@p348) :args ((or @t237 (not @t243)))) % 168.89/169.63 (step @p350 :rule chain_m_resolution :premises (@p349 @p347) :args (@t237 @t234 (@list @t243))) % 168.89/169.63 (step @p351 :rule alpha_equiv :args (@t237 @t218 @t219)) % 168.89/169.63 (step @p352 :rule equiv_elim1 :premises (@p351)) % 168.89/169.63 (step @p353 :rule chain_m_resolution :premises (@p352 @p350) :args (@t298 @t234 (@list @t237))) % 168.89/169.63 (step @p354 :rule cnf_or_pos :args (@t302)) % 168.89/169.63 (step @p355 :rule reordering :premises (@p354) :args ((or @t301 @t300 (not @t302)))) % 168.89/169.63 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p227) :args (@t300 @t303 (@list @t298 @t302))) % 168.89/169.63 (step @p357 :rule skolemize :premises (@p356)) % 168.89/169.63 (step @p358 :rule cnf_or_neg :args (@t309 1)) % 168.89/169.63 (step @p359 :rule chain_m_resolution :premises (@p358 @p357) :args ((not @t306) @t295 @t310)) % 168.89/169.63 ; trust TRUST PREPROCESS_HO_ELIM % 168.89/169.63 (step @p360 :rule trust :premises () :args ((= (or @t318 @t152) (or @t314 @t131)))) % 168.89/169.63 (step @p361 :rule refl :args (@t318)) % 168.89/169.63 (step @p362 :rule nary_cong :premises (@p361 @p52) :args (@t319)) % 168.89/169.63 (step @p363 :rule quant-miniscope-or :args ((= (forall @t51 @t320) @t319))) % 168.89/169.63 (step @p364 :rule trans :premises (@p363 @p362)) % 168.89/169.63 (step @p365 :rule beta-reduce :args ((= @t322 @t320))) % 168.89/169.63 (step @p366 :rule cong :premises (@p365) :args (@t323)) % 168.89/169.63 (step @p367 :rule trans :premises (@p366 @p364)) % 168.89/169.63 (step @p368 :rule beta-reduce :args ((= (_ @t175 @t321) @t323))) % 168.89/169.63 (step @p369 :rule trans :premises (@p368 @p367)) % 168.89/169.63 (step @p370 :rule quant-miniscope-or :args ((= (forall @t59 @t324) @t320))) % 168.89/169.63 (step @p371 :rule aci_norm :args ((= @t325 @t324))) % 168.89/169.63 (step @p372 :rule cong :premises (@p371) :args ((forall @t59 @t325))) % 168.89/169.63 (step @p373 :rule trans :premises (@p372 @p370)) % 168.89/169.64 (step @p374 :rule beta-reduce :args ((= @t327 @t318))) % 168.89/169.64 (step @p375 :rule nary_cong :premises (@p82 @p374) :args (@t328)) % 168.89/169.64 (step @p376 :rule cong :premises (@p375) :args (@t329)) % 168.89/169.64 (step @p377 :rule trans :premises (@p376 @p373)) % 168.89/169.64 (step @p378 :rule cong :premises (@p377) :args (@t330)) % 168.89/169.64 (step @p379 :rule beta-reduce :args ((= (_ @t188 @t326) @t330))) % 168.89/169.64 (step @p380 :rule trans :premises (@p379 @p378)) % 168.89/169.64 (step @p381 :rule beta-reduce :args ((= (_ @t331 tptp.france) @t318))) % 168.89/169.64 (step @p382 :rule beta-reduce :args ((= @t333 @t331))) % 168.89/169.64 (step @p383 :rule ho_cong :premises (@p382 @p108)) % 168.89/169.64 (step @p384 :rule trans :premises (@p383 @p381)) % 168.89/169.64 (step @p385 :rule cong :premises (@p384) :args ((lambda @t14 (_ @t333 tptp.france)))) % 168.89/169.64 (step @p386 :rule ho_cong :premises (@p101 @p385)) % 168.89/169.64 (step @p387 :rule trans :premises (@p386 @p380)) % 168.89/169.64 (step @p388 :rule ho_cong :premises (@p104 @p387)) % 168.89/169.64 (step @p389 :rule trans :premises (@p388 @p369)) % 168.89/169.64 (step @p390 :rule aci_norm :args ((= (and @t274 @t270) @t332))) % 168.89/169.64 (step @p391 :rule bool-double-not-elim :args (@t270)) % 168.89/169.64 (step @p392 :rule cong :premises (@p297) :args (@t334)) % 168.89/169.64 (step @p393 :rule trans :premises (@p392 @p391)) % 168.89/169.64 (step @p394 :rule nary_cong :premises (@p301 @p393) :args ((and @t290 @t334))) % 168.89/169.64 (step @p395 :rule trans :premises (@p394 @p390)) % 168.89/169.64 (step @p396 :rule cong :premises (@p324) :args (@t127)) % 168.89/169.64 (step @p397 :rule nary_cong :premises (@p333 @p396) :args (@t128)) % 168.89/169.64 (step @p398 :rule trans :premises (@p397 @p395)) % 168.89/169.64 (step @p399 :rule cong :premises (@p398) :args (@t129)) % 168.89/169.64 (step @p400 :rule trans :premises (@p50 @p399)) % 168.89/169.64 (step @p401 :rule ho_cong :premises (@p400 @p95)) % 168.89/169.64 (step @p402 :rule ho_cong :premises (@p401 @p108)) % 168.89/169.64 (step @p403 :rule cong :premises (@p402) :args (@t16)) % 168.89/169.64 (step @p404 :rule ho_cong :premises (@p202 @p403)) % 168.89/169.64 (step @p405 :rule ho_cong :premises (@p211 @p404)) % 168.89/169.64 (step @p406 :rule trans :premises (@p405 @p389)) % 168.89/169.64 (step @p407 :rule trans :premises (@p406 @p360)) % 168.89/169.64 (step @p408 :rule eq_resolve :premises (@p9 @p407)) % 168.89/169.64 (step @p409 :rule reordering :premises (@p408) :args ((or @t131 @t314))) % 168.89/169.64 (step @p410 :rule chain_m_resolution :premises (@p409 @p228) :args (@t314 @t295 @t296)) % 168.89/169.64 (step @p411 :rule cnf_and_pos :args (@t314 1)) % 168.89/169.64 (step @p412 :rule reordering :premises (@p411) :args ((or @t313 (not @t314)))) % 168.89/169.64 (step @p413 :rule chain_m_resolution :premises (@p412 @p410) :args (@t313 @t234 (@list @t314))) % 168.89/169.64 (step @p414 :rule instantiate :premises (@p413) :args (@t335)) % 168.89/169.64 (step @p415 :rule not_or_elim :premises (@p216) :args (0)) % 168.89/169.64 (step @p416 :rule not_not_elim :premises (@p415)) % 168.89/169.64 (step @p417 :rule instantiate :premises (@p416) :args (@t335)) % 168.89/169.64 (step @p418 :rule bool-double-not-elim :args (@t307)) % 168.89/169.64 (step @p419 :rule refl :args (@t309)) % 168.89/169.64 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t309 (not @t308)))) % 168.89/169.64 (step @p421 :rule cnf_or_neg :args (@t309 0)) % 168.89/169.64 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 168.89/169.64 (step @p423 :rule reordering :premises (@p422) :args ((or @t307 @t309))) % 168.89/169.64 (step @p424 :rule chain_m_resolution :premises (@p423 @p357) :args (@t307 @t295 @t310)) % 168.89/169.64 (step @p425 :rule cnf_or_pos :args (@t337)) % 168.89/169.64 (step @p426 :rule reordering :premises (@p425) :args ((or @t308 @t336 (not @t337)))) % 168.89/169.64 (step @p427 :rule chain_m_resolution :premises (@p426 @p424 @p417) :args (@t336 @t303 (@list @t307 @t337))) % 168.89/169.64 (step @p428 :rule cnf_or_pos :args (@t339)) % 168.89/169.64 (step @p429 :rule reordering :premises (@p428) :args ((or @t306 @t338 (not @t339)))) % 168.89/169.64 (step @p430 false :rule chain_m_resolution :premises (@p429 @p427 @p414 @p359) :args (false (@list false false true) (@list @t336 @t339 @t306))) % 168.89/169.64 ) % 168.89/169.64 % SZS output end Proof % 168.89/169.64 % cvc5 exiting %------------------------------------------------------------------------------