%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG016^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:16:00 AM UTC 2026 % Result : Theorem 169.03s 169.33s % Output : Proof 169.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG016^1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n023.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 23:04:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 169.03/169.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.03/169.33 --- 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... % 169.03/169.33 --- 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... % 169.03/169.33 --- Run --ho-elim --full-saturate-quant at 18s... % 169.03/169.33 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.03/169.33 % SZS status Theorem % 169.03/169.33 % SZS output start Proof % 169.03/169.33 ( % 169.03/169.33 (declare-sort tptp.reg 0) % 169.03/169.33 (declare-sort $$unsorted 0) % 169.03/169.33 (declare-sort tptp.mu 0) % 169.03/169.33 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 169.03/169.33 (declare-const tptp.france tptp.reg) % 169.03/169.33 (declare-const tptp.catalunya tptp.reg) % 169.03/169.33 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 169.03/169.33 (declare-const tptp.spain tptp.reg) % 169.03/169.33 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 169.03/169.33 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 169.03/169.33 (declare-const tptp.paris tptp.reg) % 169.03/169.33 (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" $$unsorted)) (= _let_2 _let_1))))) % 169.03/169.33 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 169.03/169.33 (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)))))) % 169.03/169.33 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 169.03/169.33 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 169.03/169.33 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 169.03/169.33 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 169.03/169.33 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 169.03/169.33 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 169.03/169.33 (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))))))) % 169.03/169.33 (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))))))) % 169.03/169.33 (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)))))) % 169.03/169.33 (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)))))) % 169.03/169.33 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 169.03/169.33 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 169.03/169.33 (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)))))) % 169.03/169.33 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 169.03/169.33 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 169.03/169.33 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 169.03/169.33 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 169.03/169.33 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 169.03/169.33 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 169.03/169.33 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 169.03/169.33 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 169.03/169.33 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 169.03/169.33 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 169.03/169.33 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 169.03/169.33 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 169.03/169.33 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 169.03/169.33 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 169.03/169.33 (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)))))) % 169.03/169.33 (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))))))))) % 169.03/169.33 (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)))))) % 169.03/169.33 (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))))))))) % 169.03/169.33 (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))))))) % 169.03/169.33 (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))))))) % 169.03/169.33 (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))))))) % 169.03/169.33 (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)))))))))) % 169.03/169.33 (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))))))))))) % 169.03/169.33 (define @t1 () (@var "X" tptp.reg)) % 169.03/169.33 (define @t2 () (_ tptp.c @t1)) % 169.03/169.33 (define @t3 () (@var "Y" tptp.reg)) % 169.03/169.33 (define @t4 () (_ @t2 @t3)) % 169.03/169.33 (define @t5 () (@list @t1 @t3)) % 169.03/169.33 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 169.03/169.33 (define @t7 () (@var "A" (-> $$unsorted Bool))) % 169.03/169.33 (define @t8 () (_ tptp.mbox tptp.fool)) % 169.03/169.33 (define @t9 () (_ @t8 @t7)) % 169.03/169.33 (define @t10 () (_ tptp.mimplies @t9)) % 169.03/169.33 (define @t11 () (@list @t7 @t6)) % 169.03/169.33 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 169.03/169.33 (define @t13 () (_ tptp.mbox tptp.a)) % 169.03/169.33 (define @t14 () (@list (@var "X" $$unsorted))) % 169.03/169.33 (define @t15 () (lambda @t14 (_ (_ tptp.ec tptp.spain) tptp.france))) % 169.03/169.33 (define @t16 () (@var "Z" tptp.reg)) % 169.03/169.33 (define @t17 () (not (_ (_ tptp.o @t16) @t3))) % 169.03/169.33 (define @t18 () (_ tptp.p @t3)) % 169.03/169.33 (define @t19 () (_ tptp.p @t16)) % 169.03/169.33 (define @t20 () (and (_ @t19 tptp.spain) (_ @t18 tptp.france))) % 169.03/169.33 (define @t21 () (=> @t20 @t17)) % 169.03/169.33 (define @t22 () (@list @t16 @t3)) % 169.03/169.33 (define @t23 () (forall @t22 @t21)) % 169.03/169.33 (define @t24 () (lambda @t14 @t23)) % 169.03/169.33 (define @t25 () (not (_ tptp.mvalid (_ @t8 @t24)))) % 169.03/169.33 (define @t26 () (@var "Y" tptp.mu)) % 169.03/169.33 (define @t27 () (@var "X" tptp.mu)) % 169.03/169.33 (define @t28 () (@var "W" $$unsorted)) % 169.03/169.33 (define @t29 () (lambda (@list @t27 @t26 @t28) (= @t27 @t26))) % 169.03/169.33 (define @t30 () (@var "Y" (-> $$unsorted Bool))) % 169.03/169.33 (define @t31 () (@var "X" (-> $$unsorted Bool))) % 169.03/169.33 (define @t32 () (lambda (@list @t31 @t30 @t28) (= (_ @t31 @t28) (_ @t30 @t28)))) % 169.03/169.33 (define @t33 () (_ @t12 @t28)) % 169.03/169.33 (define @t34 () (not @t33)) % 169.03/169.33 (define @t35 () (@list @t12 @t28)) % 169.03/169.33 (define @t36 () (lambda @t35 @t34)) % 169.03/169.33 (define @t37 () (@var "Psi" (-> $$unsorted Bool))) % 169.03/169.33 (define @t38 () (lambda (@list @t12 @t37 @t28) (or @t33 (_ @t37 @t28)))) % 169.03/169.33 (define @t39 () (_ tptp.mnot @t37)) % 169.03/169.33 (define @t40 () (_ tptp.mnot @t12)) % 169.03/169.33 (define @t41 () (_ tptp.mor @t40)) % 169.03/169.33 (define @t42 () (@list @t12 @t37 @t6)) % 169.03/169.33 (define @t43 () (lambda @t42 (_ (_ tptp.mnot (_ @t41 @t39)) @t6))) % 169.03/169.33 (define @t44 () (lambda @t42 (_ (_ @t41 @t37) @t6))) % 169.03/169.33 (define @t45 () (lambda @t42 (_ (_ (_ tptp.mor @t39) @t12) @t6))) % 169.03/169.33 (define @t46 () (lambda @t42 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t37)) (_ (_ tptp.mimplies @t37) @t12)) @t6))) % 169.03/169.33 (define @t47 () (lambda @t42 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t37)) @t6))) % 169.03/169.33 (define @t48 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 169.03/169.33 (define @t49 () (_ @t48 @t27)) % 169.03/169.33 (define @t50 () (lambda (@list @t48 @t28) (forall (@list @t27) (_ @t49 @t28)))) % 169.03/169.33 (define @t51 () (@var "P" (-> $$unsorted Bool))) % 169.03/169.33 (define @t52 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 169.03/169.33 (define @t53 () (_ @t52 @t51)) % 169.03/169.33 (define @t54 () (lambda (@list @t52 @t28) (forall (@list @t51) (_ @t53 @t28)))) % 169.03/169.33 (define @t55 () (lambda (@list @t48 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t27 @t6) (_ (_ tptp.mnot @t49) @t6)))) @t6))) % 169.03/169.33 (define @t56 () (lambda (@list @t52 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t51 @t6) (_ (_ tptp.mnot @t53) @t6)))) @t6))) % 169.03/169.33 (define @t57 () (@list @t28)) % 169.03/169.33 (define @t58 () (lambda @t57 true)) % 169.03/169.33 (define @t59 () (@var "V" $$unsorted)) % 169.03/169.33 (define @t60 () (_ @t12 @t59)) % 169.03/169.33 (define @t61 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 169.03/169.33 (define @t62 () (_ (_ @t61 @t28) @t59)) % 169.03/169.33 (define @t63 () (not @t62)) % 169.03/169.33 (define @t64 () (or @t63 @t60)) % 169.03/169.33 (define @t65 () (@list @t59)) % 169.03/169.33 (define @t66 () (forall @t65 @t64)) % 169.03/169.33 (define @t67 () (@list @t61 @t12 @t28)) % 169.03/169.33 (define @t68 () (lambda @t67 @t66)) % 169.03/169.33 (define @t69 () (lambda (@list @t61 @t12 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t61) @t40)) @t6))) % 169.03/169.33 (define @t70 () (@var "S" $$unsorted)) % 169.03/169.33 (define @t71 () (_ @t61 @t70)) % 169.03/169.33 (define @t72 () (@list @t70)) % 169.03/169.33 (define @t73 () (@list @t61)) % 169.03/169.33 (define @t74 () (lambda @t73 (forall @t72 (_ @t71 @t70)))) % 169.03/169.33 (define @t75 () (@var "T" $$unsorted)) % 169.03/169.33 (define @t76 () (_ @t61 @t75)) % 169.03/169.33 (define @t77 () (_ @t71 @t75)) % 169.03/169.33 (define @t78 () (lambda @t73 (forall (@list @t70 @t75) (=> @t77 (_ @t76 @t70))))) % 169.03/169.33 (define @t79 () (@list @t75)) % 169.03/169.33 (define @t80 () (lambda @t73 (forall @t72 (exists @t79 @t77)))) % 169.03/169.33 (define @t81 () (@var "U" $$unsorted)) % 169.03/169.33 (define @t82 () (_ @t71 @t81)) % 169.03/169.33 (define @t83 () (_ @t76 @t81)) % 169.03/169.33 (define @t84 () (@list @t70 @t75 @t81)) % 169.03/169.33 (define @t85 () (lambda @t73 (forall @t84 (=> (and @t77 @t83) @t82)))) % 169.03/169.33 (define @t86 () (and @t77 @t82)) % 169.03/169.33 (define @t87 () (lambda @t73 (forall @t84 (=> @t86 @t83)))) % 169.03/169.33 (define @t88 () (= @t75 @t81)) % 169.03/169.33 (define @t89 () (lambda @t73 (forall @t84 (=> @t86 @t88)))) % 169.03/169.33 (define @t90 () (@list @t81)) % 169.03/169.33 (define @t91 () (lambda @t73 (forall @t72 (exists @t79 (and @t77 (forall @t90 (=> @t82 @t88))))))) % 169.03/169.33 (define @t92 () (_ @t61 @t81)) % 169.03/169.33 (define @t93 () (_ @t92 @t75)) % 169.03/169.33 (define @t94 () (lambda @t73 (forall @t84 (=> @t77 (exists @t90 (and @t82 @t93)))))) % 169.03/169.33 (define @t95 () (lambda @t73 (forall @t84 (=> @t86 (or @t83 @t88 @t93))))) % 169.03/169.33 (define @t96 () (lambda @t73 (forall @t84 (=> @t86 (exists @t65 (and (_ @t76 @t59) (_ @t92 @t59))))))) % 169.03/169.33 (define @t97 () (forall @t57 @t33)) % 169.03/169.33 (define @t98 () (@list @t12)) % 169.03/169.33 (define @t99 () (lambda @t98 @t97)) % 169.03/169.33 (define @t100 () (lambda @t98 (forall @t57 @t34))) % 169.03/169.33 (define @t101 () (lambda @t98 (exists @t57 @t33))) % 169.03/169.33 (define @t102 () (lambda @t98 (exists @t57 @t34))) % 169.03/169.33 (define @t103 () (lambda @t5 (not @t4))) % 169.03/169.33 (define @t104 () (_ tptp.c @t16)) % 169.03/169.33 (define @t105 () (_ @t104 @t3)) % 169.03/169.33 (define @t106 () (_ @t104 @t1)) % 169.03/169.33 (define @t107 () (@list @t16)) % 169.03/169.33 (define @t108 () (forall @t107 (=> @t106 @t105))) % 169.03/169.33 (define @t109 () (lambda @t5 @t108)) % 169.03/169.33 (define @t110 () (_ @t18 @t1)) % 169.03/169.33 (define @t111 () (_ (_ tptp.p @t1) @t3)) % 169.03/169.33 (define @t112 () (lambda @t5 (and @t111 @t110))) % 169.03/169.33 (define @t113 () (and (_ @t19 @t1) (_ @t19 @t3))) % 169.03/169.33 (define @t114 () (exists @t107 @t113)) % 169.03/169.33 (define @t115 () (lambda @t5 @t114)) % 169.03/169.33 (define @t116 () (not @t110)) % 169.03/169.33 (define @t117 () (_ (_ tptp.o @t1) @t3)) % 169.03/169.33 (define @t118 () (lambda @t5 (and @t117 (not @t111) @t116))) % 169.03/169.33 (define @t119 () (not @t117)) % 169.03/169.33 (define @t120 () (and @t4 @t119)) % 169.03/169.33 (define @t121 () (lambda @t5 @t120)) % 169.03/169.33 (define @t122 () (lambda @t5 (and @t111 @t116))) % 169.03/169.33 (define @t123 () (_ tptp.ec @t16)) % 169.03/169.33 (define @t124 () (exists @t107 (and (_ @t123 @t1) (_ @t123 @t3)))) % 169.03/169.33 (define @t125 () (_ (_ tptp.pp @t1) @t3)) % 169.03/169.33 (define @t126 () (lambda @t5 (and @t125 @t124))) % 169.03/169.33 (define @t127 () (lambda @t5 (and @t125 (not @t124)))) % 169.03/169.33 (define @t128 () (@list @t28 @t59)) % 169.03/169.33 (define @t129 () (forall @t128 (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))) @t28) @t59)))) % 169.03/169.33 (define @t130 () (@var "BOUND_VARIABLE_8328" tptp.reg)) % 169.03/169.33 (define @t131 () (@const 3 (@ho-elim-sort (-> tptp.reg tptp.reg Bool)))) % 169.03/169.33 (define @t132 () (@const 4 (-> (@ho-elim-sort (-> tptp.reg tptp.reg Bool)) tptp.reg (@ho-elim-sort (-> tptp.reg Bool))))) % 169.03/169.33 (define @t133 () (_ @t132 @t131 @t130)) % 169.03/169.33 (define @t134 () (@const 5 (-> (@ho-elim-sort (-> tptp.reg Bool)) tptp.reg Bool))) % 169.03/169.33 (define @t135 () (@var "BOUND_VARIABLE_9151" tptp.reg)) % 169.03/169.33 (define @t136 () (not (_ @t134 @t133 @t135))) % 169.03/169.33 (define @t137 () (@list @t130)) % 169.03/169.33 (define @t138 () (_ @t134 @t133 @t16)) % 169.03/169.33 (define @t139 () (@var "BOUND_VARIABLE_9135" tptp.reg)) % 169.03/169.33 (define @t140 () (_ @t132 @t131 @t139)) % 169.03/169.33 (define @t141 () (_ @t134 @t140 tptp.france)) % 169.03/169.33 (define @t142 () (@list @t139)) % 169.03/169.33 (define @t143 () (_ @t134 @t133 tptp.spain)) % 169.03/169.33 (define @t144 () (not @t138)) % 169.03/169.33 (define @t145 () (not (forall @t137 (or @t144 @t143)))) % 169.03/169.33 (define @t146 () (@list @t16 @t3 @t135)) % 169.03/169.33 (define @t147 () (forall @t146 (or @t145 (not (forall @t142 (or (not (_ @t134 @t140 @t3)) @t141))) (not (forall @t137 (or @t136 @t138))) (not (forall @t137 (or @t136 (_ @t134 @t133 @t3))))))) % 169.03/169.33 (define @t148 () (not (tptp.fool @t28 @t59))) % 169.03/169.33 (define @t149 () (forall @t128 @t148)) % 169.03/169.33 (define @t150 () (tptp.c @t130 @t3)) % 169.03/169.33 (define @t151 () (not (tptp.c @t130 @t135))) % 169.03/169.33 (define @t152 () (not (forall @t137 (or @t151 @t150)))) % 169.03/169.33 (define @t153 () (tptp.c @t130 @t16)) % 169.03/169.33 (define @t154 () (not (forall @t137 (or @t151 @t153)))) % 169.03/169.33 (define @t155 () (forall @t142 (or (not (tptp.c @t139 @t3)) (tptp.c @t139 tptp.france)))) % 169.03/169.34 (define @t156 () (not @t155)) % 169.03/169.34 (define @t157 () (not @t153)) % 169.03/169.34 (define @t158 () (forall @t137 (or @t157 (tptp.c @t130 tptp.spain)))) % 169.03/169.34 (define @t159 () (not @t158)) % 169.03/169.34 (define @t160 () (or @t159 @t156 @t154 @t152)) % 169.03/169.34 (define @t161 () (forall @t146 @t160)) % 169.03/169.34 (define @t162 () (forall @t65 @t148)) % 169.03/169.34 (define @t163 () (forall @t57 @t162)) % 169.03/169.34 (define @t164 () (or @t161 @t163)) % 169.03/169.34 (define @t165 () (or @t161 @t162)) % 169.03/169.34 (define @t166 () (lambda @t57 @t165)) % 169.03/169.34 (define @t167 () (_ @t166 @t28)) % 169.03/169.34 (define @t168 () (forall @t57 @t167)) % 169.03/169.34 (define @t169 () (_ @t12 @t28)) % 169.03/169.34 (define @t170 () (lambda @t98 (forall @t57 @t169))) % 169.03/169.34 (define @t171 () (or @t161 @t148)) % 169.03/169.34 (define @t172 () (or @t148 @t161)) % 169.03/169.34 (define @t173 () (lambda @t14 @t161)) % 169.03/169.34 (define @t174 () (_ @t173 @t59)) % 169.03/169.34 (define @t175 () (or @t148 @t174)) % 169.03/169.34 (define @t176 () (forall @t65 @t175)) % 169.03/169.34 (define @t177 () (lambda @t57 @t176)) % 169.03/169.34 (define @t178 () (_ @t12 @t59)) % 169.03/169.34 (define @t179 () (lambda @t35 (forall @t65 (or @t148 @t178)))) % 169.03/169.34 (define @t180 () (or @t154 @t152)) % 169.03/169.34 (define @t181 () (or @t159 @t156 @t180)) % 169.03/169.34 (define @t182 () (forall @t146 @t181)) % 169.03/169.34 (define @t183 () (@list @t135)) % 169.03/169.34 (define @t184 () (forall @t183 @t181)) % 169.03/169.34 (define @t185 () (forall @t183 @t180)) % 169.03/169.34 (define @t186 () (@var "BOUND_VARIABLE_9107" tptp.reg)) % 169.03/169.34 (define @t187 () (@list @t186)) % 169.03/169.34 (define @t188 () (or @t159 @t156 @t185)) % 169.03/169.34 (define @t189 () (not (tptp.c @t130 @t186))) % 169.03/169.34 (define @t190 () (not (forall @t137 (or @t189 @t150)))) % 169.03/169.34 (define @t191 () (@list @t186)) % 169.03/169.34 (define @t192 () (forall @t191 (or (not (forall @t137 (or @t189 @t153))) @t190))) % 169.03/169.34 (define @t193 () (or @t159 @t156 @t192)) % 169.03/169.34 (define @t194 () (and @t158 @t155)) % 169.03/169.34 (define @t195 () (tptp.c @t16 @t3)) % 169.03/169.34 (define @t196 () (not @t195)) % 169.03/169.34 (define @t197 () (forall @t107 (or @t196 (tptp.c @t16 tptp.france)))) % 169.03/169.34 (define @t198 () (@list @t16)) % 169.03/169.34 (define @t199 () (and @t158 @t197)) % 169.03/169.34 (define @t200 () (=> @t199 @t192)) % 169.03/169.34 (define @t201 () (not @t192)) % 169.03/169.34 (define @t202 () (@list @t3)) % 169.03/169.34 (define @t203 () (lambda @t202 @t201)) % 169.03/169.34 (define @t204 () (tptp.c @t130 @t1)) % 169.03/169.34 (define @t205 () (forall @t137 (or @t157 @t150))) % 169.03/169.34 (define @t206 () (not @t205)) % 169.03/169.34 (define @t207 () (forall @t137 (or @t157 @t204))) % 169.03/169.34 (define @t208 () (forall @t107 (or (not @t207) @t206))) % 169.03/169.34 (define @t209 () (not @t208)) % 169.03/169.34 (define @t210 () (lambda @t5 @t209)) % 169.03/169.34 (define @t211 () (not (_ (_ @t210 @t16) @t3))) % 169.03/169.34 (define @t212 () (@var "BOUND_VARIABLE_8290" tptp.reg)) % 169.03/169.34 (define @t213 () (tptp.c @t16 @t212)) % 169.03/169.34 (define @t214 () (lambda (@list @t212) (forall @t107 (or @t196 @t213)))) % 169.03/169.34 (define @t215 () (tptp.c @t16 @t1)) % 169.03/169.34 (define @t216 () (not @t215)) % 169.03/169.34 (define @t217 () (forall @t107 (or @t216 @t195))) % 169.03/169.34 (define @t218 () (lambda @t5 @t217)) % 169.03/169.34 (define @t219 () (lambda @t202 @t205)) % 169.03/169.34 (define @t220 () (_ @t218 @t16)) % 169.03/169.34 (define @t221 () (and (_ @t220 tptp.spain) (_ (_ @t218 @t3) tptp.france))) % 169.03/169.34 (define @t222 () (=> @t221 @t211)) % 169.03/169.34 (define @t223 () (forall @t22 @t222)) % 169.03/169.34 (define @t224 () (lambda @t14 @t223)) % 169.03/169.34 (define @t225 () (_ @t61 @t28 @t59)) % 169.03/169.34 (define @t226 () (_ (lambda @t67 (forall @t65 (or (not @t225) @t178))) tptp.fool)) % 169.03/169.34 (define @t227 () (and @t207 @t205)) % 169.03/169.34 (define @t228 () (forall @t107 (not @t227))) % 169.03/169.34 (define @t229 () (not @t228)) % 169.03/169.34 (define @t230 () (and (_ @t220 @t1) (_ @t220 @t3))) % 169.03/169.34 (define @t231 () (not @t106)) % 169.03/169.34 (define @t232 () (or @t231 @t105)) % 169.03/169.34 (define @t233 () (@quantifiers_skolemize @t147 0)) % 169.03/169.34 (define @t234 () (_ @t134 @t133 @t233)) % 169.03/169.34 (define @t235 () (forall @t137 (or (not @t234) @t143))) % 169.03/169.34 (define @t236 () (@quantifiers_skolemize @t147 1)) % 169.03/169.34 (define @t237 () (@quantifiers_skolemize @t147 2)) % 169.03/169.34 (define @t238 () (not (_ @t134 @t133 @t237))) % 169.03/169.34 (define @t239 () (forall @t137 (or @t238 (_ @t134 @t133 @t236)))) % 169.03/169.34 (define @t240 () (not @t239)) % 169.03/169.34 (define @t241 () (forall @t137 (or @t238 @t234))) % 169.03/169.34 (define @t242 () (not @t241)) % 169.03/169.34 (define @t243 () (forall @t142 (or (not (_ @t134 @t140 @t236)) @t141))) % 169.03/169.34 (define @t244 () (not @t243)) % 169.03/169.34 (define @t245 () (not @t235)) % 169.03/169.34 (define @t246 () (or @t245 @t244 @t242 @t240)) % 169.03/169.34 (define @t247 () (@list true)) % 169.03/169.34 (define @t248 () (@list @t246)) % 169.03/169.34 (define @t249 () (forall @t137 (or @t238 @t143))) % 169.03/169.34 (define @t250 () (@quantifiers_skolemize @t249 0)) % 169.03/169.34 (define @t251 () (@list @t250)) % 169.03/169.34 (define @t252 () (_ @t134 @t133 tptp.france)) % 169.03/169.34 (define @t253 () (forall @t107 (or @t145 (not (forall @t137 (or @t144 @t252)))))) % 169.03/169.34 (define @t254 () (and (_ @t134 (_ @t132 @t131 tptp.spain) tptp.france) @t253)) % 169.03/169.34 (define @t255 () (_ tptp.c tptp.spain)) % 169.03/169.34 (define @t256 () (and (_ @t255 tptp.france) (forall @t107 (or @t159 (not (forall @t137 (or @t157 (tptp.c @t130 tptp.france)))))))) % 169.03/169.34 (define @t257 () (or @t256 @t163)) % 169.03/169.34 (define @t258 () (or @t256 @t162)) % 169.03/169.34 (define @t259 () (lambda @t57 @t258)) % 169.03/169.34 (define @t260 () (_ @t259 @t28)) % 169.03/169.34 (define @t261 () (forall @t57 @t260)) % 169.03/169.34 (define @t262 () (or @t256 @t148)) % 169.03/169.34 (define @t263 () (or @t148 @t256)) % 169.03/169.34 (define @t264 () (lambda @t14 @t256)) % 169.03/169.34 (define @t265 () (_ @t264 @t59)) % 169.03/169.34 (define @t266 () (or @t148 @t265)) % 169.03/169.34 (define @t267 () (forall @t65 @t266)) % 169.03/169.34 (define @t268 () (lambda @t57 @t267)) % 169.03/169.34 (define @t269 () (lambda @t202 (and (_ @t255 @t3) (forall @t107 (or @t159 @t206))))) % 169.03/169.34 (define @t270 () (_ (lambda @t5 (and @t4 @t208)) tptp.spain)) % 169.03/169.34 (define @t271 () (lambda @t202 @t209)) % 169.03/169.34 (define @t272 () (_ @t210 @t1)) % 169.03/169.34 (define @t273 () (not (_ @t272 @t3))) % 169.03/169.34 (define @t274 () (@list false)) % 169.03/169.34 (define @t275 () (forall @t137 (or @t238 @t252))) % 169.03/169.34 (define @t276 () (@quantifiers_skolemize @t275 0)) % 169.03/169.34 (define @t277 () (_ @t132 @t131 @t276)) % 169.03/169.34 (define @t278 () (_ @t134 @t277 @t237)) % 169.03/169.34 (define @t279 () (_ @t134 @t277 tptp.france)) % 169.03/169.34 (define @t280 () (not @t278)) % 169.03/169.34 (define @t281 () (or @t280 @t279)) % 169.03/169.34 (define @t282 () (@list @t276)) % 169.03/169.34 (define @t283 () (_ @t134 @t277 @t236)) % 169.03/169.34 (define @t284 () (or @t280 @t283)) % 169.03/169.34 (define @t285 () (not @t283)) % 169.03/169.34 (define @t286 () (or @t285 @t279)) % 169.03/169.34 (define @t287 () (not @t281)) % 169.03/169.34 (define @t288 () (not @t275)) % 169.03/169.34 (define @t289 () (not @t249)) % 169.03/169.34 (define @t290 () (or @t289 @t288)) % 169.03/169.34 (define @t291 () (@list false false)) % 169.03/169.34 (define @t292 () (_ @t132 @t131 @t250)) % 169.03/169.34 (define @t293 () (_ @t134 @t292 tptp.spain)) % 169.03/169.34 (define @t294 () (_ @t134 @t292 @t237)) % 169.03/169.34 (define @t295 () (not @t294)) % 169.03/169.34 (define @t296 () (or @t295 @t293)) % 169.03/169.34 (define @t297 () (not @t296)) % 169.03/169.34 (define @t298 () (@list @t296)) % 169.03/169.34 (define @t299 () (_ @t134 @t292 @t233)) % 169.03/169.34 (define @t300 () (or @t295 @t299)) % 169.03/169.34 (define @t301 () (not @t299)) % 169.03/169.34 (define @t302 () (or @t301 @t293)) % 169.03/169.34 (define @t303 () (not @t302)) % 169.03/169.34 (define @t304 () (@list true false)) % 169.03/169.34 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 169.03/169.34 (assume @p2 (forall (@list @t1) (_ @t2 @t1))) % 169.03/169.34 (assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1)))) % 169.03/169.34 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 @t7) @t6))))) % 169.03/169.34 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 (_ @t8 @t9)) @t6))))) % 169.03/169.34 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t12 @t6) (_ (_ (_ tptp.mimplies (_ @t8 @t12)) (_ @t13 @t12)) @t6))))) % 169.03/169.34 (assume @p7 (_ tptp.mvalid (_ @t13 (lambda @t14 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))))) % 169.03/169.34 (assume @p8 (_ tptp.mvalid (_ @t8 @t15))) % 169.03/169.34 (assume @p9 (_ tptp.mvalid (_ @t13 (lambda @t14 (_ (_ tptp.ntpp tptp.paris) tptp.france))))) % 169.03/169.34 (assume @p10 @t25) % 169.03/169.34 (assume @p11 true) % 169.03/169.34 (step @p12 (= tptp.meq_ind @t29) :rule refl :args (@t29)) % 169.03/169.34 (step @p13 (= tptp.meq_prop @t32) :rule refl :args (@t32)) % 169.03/169.34 (step @p14 (= tptp.mnot @t36) :rule refl :args (@t36)) % 169.03/169.34 (step @p15 (= tptp.mor @t38) :rule refl :args (@t38)) % 169.03/169.34 (step @p16 (= tptp.mand @t43) :rule refl :args (@t43)) % 169.03/169.34 (step @p17 (= tptp.mimplies @t44) :rule refl :args (@t44)) % 169.03/169.34 (step @p18 (= tptp.mimplied @t45) :rule refl :args (@t45)) % 169.03/169.34 (step @p19 (= tptp.mequiv @t46) :rule refl :args (@t46)) % 169.03/169.34 (step @p20 (= tptp.mxor @t47) :rule refl :args (@t47)) % 169.03/169.34 (step @p21 (= tptp.mforall_ind @t50) :rule refl :args (@t50)) % 169.03/169.34 (step @p22 (= tptp.mforall_prop @t54) :rule refl :args (@t54)) % 169.03/169.34 (step @p23 (= tptp.mexists_ind @t55) :rule refl :args (@t55)) % 169.03/169.34 (step @p24 (= tptp.mexists_prop @t56) :rule refl :args (@t56)) % 169.03/169.34 (step @p25 (= tptp.mtrue @t58) :rule refl :args (@t58)) % 169.03/169.34 (step @p26 (= tptp.mbox @t68) :rule refl :args (@t68)) % 169.03/169.34 (step @p27 (= tptp.mdia @t69) :rule refl :args (@t69)) % 169.03/169.34 (step @p28 (= tptp.mreflexive @t74) :rule refl :args (@t74)) % 169.03/169.34 (step @p29 (= tptp.msymmetric @t78) :rule refl :args (@t78)) % 169.03/169.34 (step @p30 (= tptp.mserial @t80) :rule refl :args (@t80)) % 169.03/169.34 (step @p31 (= tptp.mtransitive @t85) :rule refl :args (@t85)) % 169.03/169.34 (step @p32 (= tptp.meuclidean @t87) :rule refl :args (@t87)) % 169.03/169.34 (step @p33 (= tptp.mpartially_functional @t89) :rule refl :args (@t89)) % 169.03/169.34 (step @p34 (= tptp.mfunctional @t91) :rule refl :args (@t91)) % 169.03/169.34 (step @p35 (= tptp.mweakly_dense @t94) :rule refl :args (@t94)) % 169.03/169.34 (step @p36 (= tptp.mweakly_connected @t95) :rule refl :args (@t95)) % 169.03/169.34 (step @p37 (= tptp.mweakly_directed @t96) :rule refl :args (@t96)) % 169.03/169.34 (step @p38 (= tptp.mvalid @t99) :rule refl :args (@t99)) % 169.03/169.34 (step @p39 (= tptp.minvalid @t100) :rule refl :args (@t100)) % 169.03/169.34 (step @p40 (= tptp.msatisfiable @t101) :rule refl :args (@t101)) % 169.03/169.34 (step @p41 (= tptp.mcountersatisfiable @t102) :rule refl :args (@t102)) % 169.03/169.34 (step @p42 (= tptp.dc @t103) :rule refl :args (@t103)) % 169.03/169.34 (step @p43 (= tptp.p @t109) :rule refl :args (@t109)) % 169.03/169.34 (step @p44 (= tptp.eq @t112) :rule refl :args (@t112)) % 169.03/169.34 (step @p45 (= tptp.o @t115) :rule refl :args (@t115)) % 169.03/169.34 (step @p46 (= tptp.po @t118) :rule refl :args (@t118)) % 169.03/169.34 (step @p47 (= tptp.ec @t121) :rule refl :args (@t121)) % 169.03/169.34 (step @p48 (= tptp.pp @t122) :rule refl :args (@t122)) % 169.03/169.34 (step @p49 (= tptp.tpp @t126) :rule refl :args (@t126)) % 169.03/169.34 (step @p50 (= tptp.ntpp @t127) :rule refl :args (@t127)) % 169.03/169.34 ; WARNING: add trust step for TRUST % 169.03/169.34 ; trust TRUST PREPROCESS_HO_ELIM % 169.03/169.34 (step @p51 :rule trust :premises () :args ((= (not (or @t161 @t149)) (not (or @t147 @t129))))) % 169.03/169.34 (step @p52 :rule quant-merge-prenex :args ((= @t163 @t149))) % 169.03/169.34 (step @p53 :rule refl :args (@t161)) % 169.03/169.34 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t164)) % 169.03/169.34 (step @p55 :rule quant-miniscope-or :args ((= (forall @t57 @t165) @t164))) % 169.03/169.34 (step @p56 :rule trans :premises (@p55 @p54)) % 169.03/169.34 (step @p57 :rule beta-reduce :args ((= @t167 @t165))) % 169.03/169.34 (step @p58 :rule cong :premises (@p57) :args (@t168)) % 169.03/169.34 (step @p59 :rule trans :premises (@p58 @p56)) % 169.03/169.34 (step @p60 :rule beta-reduce :args ((= (_ @t170 @t166) @t168))) % 169.03/169.34 (step @p61 :rule trans :premises (@p60 @p59)) % 169.03/169.34 (step @p62 :rule quant-miniscope-or :args ((= (forall @t65 @t171) @t165))) % 169.03/169.34 (step @p63 :rule aci_norm :args ((= @t172 @t171))) % 169.03/169.34 (step @p64 :rule cong :premises (@p63) :args ((forall @t65 @t172))) % 169.03/169.34 (step @p65 :rule trans :premises (@p64 @p62)) % 169.03/169.34 (step @p66 :rule beta-reduce :args ((= @t174 @t161))) % 169.03/169.34 (step @p67 :rule refl :args (@t148)) % 169.03/169.34 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t175)) % 169.03/169.34 (step @p69 :rule cong :premises (@p68) :args (@t176)) % 169.03/169.34 (step @p70 :rule trans :premises (@p69 @p65)) % 169.03/169.34 (step @p71 :rule cong :premises (@p70) :args (@t177)) % 169.03/169.34 (step @p72 :rule beta-reduce :args ((= (_ @t179 @t173) @t177))) % 169.03/169.34 (step @p73 :rule trans :premises (@p72 @p71)) % 169.03/169.34 (step @p74 :rule aci_norm :args ((= @t181 @t160))) % 169.03/169.34 (step @p75 :rule cong :premises (@p74) :args (@t182)) % 169.03/169.34 (step @p76 :rule quant-merge-prenex :args ((= (forall @t22 @t184) @t182))) % 169.03/169.34 (step @p77 :rule alpha_equiv :args (@t185 (@list @t135) @t187)) % 169.03/169.34 (step @p78 :rule refl :args (@t156)) % 169.03/169.34 (step @p79 :rule refl :args (@t159)) % 169.03/169.34 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t188)) % 169.03/169.34 (step @p81 :rule quant-miniscope-or :args ((= @t184 @t188))) % 169.03/169.34 (step @p82 :rule trans :premises (@p81 @p80)) % 169.03/169.34 (step @p83 :rule symm :premises (@p82)) % 169.03/169.34 (step @p84 :rule cong :premises (@p83) :args ((forall @t22 @t193))) % 169.03/169.34 (step @p85 :rule trans :premises (@p84 @p76)) % 169.03/169.34 (step @p86 :rule trans :premises (@p85 @p75)) % 169.03/169.34 (step @p87 :rule aci_norm :args ((= (or (or @t159 @t156) @t192) @t193))) % 169.03/169.34 (step @p88 :rule refl :args (@t192)) % 169.03/169.34 (step @p89 :rule bool-and-de-morgan :args (@t158 @t155 true)) % 169.03/169.34 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t194) @t192))) % 169.03/169.34 (step @p91 :rule trans :premises (@p90 @p87)) % 169.03/169.34 (step @p92 :rule bool-impl-elim :args (@t194 @t192)) % 169.03/169.34 (step @p93 :rule trans :premises (@p92 @p91)) % 169.03/169.34 (step @p94 :rule cong :premises (@p93) :args ((forall @t22 (=> @t194 @t192)))) % 169.03/169.34 (step @p95 :rule trans :premises (@p94 @p86)) % 169.03/169.34 (step @p96 :rule alpha_equiv :args (@t197 @t198 (@list @t139))) % 169.03/169.34 (step @p97 :rule refl :args (@t158)) % 169.03/169.34 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t199)) % 169.03/169.34 (step @p99 :rule cong :premises (@p98 @p88) :args (@t200)) % 169.03/169.34 (step @p100 :rule cong :premises (@p99) :args ((forall @t22 @t200))) % 169.03/169.34 (step @p101 :rule trans :premises (@p100 @p95)) % 169.03/169.34 (step @p102 :rule bool-double-not-elim :args (@t192)) % 169.03/169.34 (step @p103 :rule beta-reduce :args ((= (_ @t203 @t3) @t201))) % 169.03/169.34 (step @p104 :rule refl :args (@t3)) % 169.03/169.34 (step @p105 :rule beta-reduce :args ((= (_ (lambda @t5 (not (forall @t191 (or (not (forall @t137 (or @t189 @t204))) @t190)))) @t16) @t203))) % 169.03/169.34 (step @p106 :rule refl :args (@t16)) % 169.03/169.34 (step @p107 :rule alpha_equiv :args (@t208 @t198 @t187)) % 169.03/169.34 (step @p108 :rule cong :premises (@p107) :args (@t209)) % 169.03/169.34 (step @p109 :rule cong :premises (@p108) :args (@t210)) % 169.03/169.34 (step @p110 :rule ho_cong :premises (@p109 @p106)) % 169.03/169.34 (step @p111 :rule trans :premises (@p110 @p105)) % 169.03/169.34 (step @p112 :rule ho_cong :premises (@p111 @p104)) % 169.03/169.34 (step @p113 :rule trans :premises (@p112 @p103)) % 169.03/169.34 (step @p114 :rule cong :premises (@p113) :args (@t211)) % 169.03/169.34 (step @p115 :rule trans :premises (@p114 @p102)) % 169.03/169.34 (step @p116 :rule beta-reduce :args ((= (_ @t214 tptp.france) @t197))) % 169.03/169.34 (step @p117 :rule refl :args (tptp.france)) % 169.03/169.34 (step @p118 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t212) (forall @t107 (or @t216 @t213))) @t3) @t214))) % 169.03/169.34 (step @p119 :rule refl :args (@t3)) % 169.03/169.34 (step @p120 :rule alpha_equiv :args (@t218 (@list @t3) (@list @t212))) % 169.03/169.34 (step @p121 :rule ho_cong :premises (@p120 @p119)) % 169.03/169.34 (step @p122 :rule trans :premises (@p121 @p118)) % 169.03/169.34 (step @p123 :rule ho_cong :premises (@p122 @p117)) % 169.03/169.34 (step @p124 :rule trans :premises (@p123 @p116)) % 169.03/169.34 (step @p125 :rule beta-reduce :args ((= (_ @t219 tptp.spain) @t158))) % 169.03/169.34 (step @p126 :rule refl :args (tptp.spain)) % 169.03/169.34 (step @p127 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t137 (or (not @t204) @t150))) @t16) @t219))) % 169.03/169.34 (step @p128 :rule alpha_equiv :args (@t217 @t198 (@list @t130))) % 169.03/169.34 (step @p129 :rule cong :premises (@p128) :args (@t218)) % 169.03/169.34 (step @p130 :rule ho_cong :premises (@p129 @p106)) % 169.03/169.34 (step @p131 :rule trans :premises (@p130 @p127)) % 169.03/169.34 (step @p132 :rule ho_cong :premises (@p131 @p126)) % 169.03/169.34 (step @p133 :rule trans :premises (@p132 @p125)) % 169.03/169.34 (step @p134 :rule nary_cong :premises (@p133 @p124) :args (@t221)) % 169.03/169.34 (step @p135 :rule cong :premises (@p134 @p115) :args (@t222)) % 169.03/169.34 (step @p136 :rule cong :premises (@p135) :args (@t223)) % 169.03/169.34 (step @p137 :rule trans :premises (@p136 @p101)) % 169.03/169.34 (step @p138 :rule cong :premises (@p137) :args (@t224)) % 169.03/169.34 (step @p139 :rule beta-reduce :args ((= @t226 @t179))) % 169.03/169.34 (step @p140 :rule ho_cong :premises (@p139 @p138)) % 169.03/169.34 (step @p141 :rule trans :premises (@p140 @p73)) % 169.03/169.34 (step @p142 :rule refl :args (@t170)) % 169.03/169.34 (step @p143 :rule ho_cong :premises (@p142 @p141)) % 169.03/169.34 (step @p144 :rule trans :premises (@p143 @p61)) % 169.03/169.34 (step @p145 :rule cong :premises (@p144) :args ((not (_ @t170 (_ @t226 @t224))))) % 169.03/169.34 (step @p146 :rule refl :args (@t16)) % 169.03/169.34 (step @p147 :rule bool-and-de-morgan :args (@t207 @t205 true)) % 169.03/169.34 (step @p148 :rule cong :premises (@p147) :args (@t228)) % 169.03/169.34 (step @p149 :rule cong :premises (@p148) :args (@t229)) % 169.03/169.34 (step @p150 :rule exists-elim :args ((= (exists @t107 @t227) @t229))) % 169.03/169.34 (step @p151 :rule trans :premises (@p150 @p149)) % 169.03/169.34 (step @p152 :rule beta-reduce :args ((= (_ @t219 @t3) @t205))) % 169.03/169.34 (step @p153 :rule ho_cong :premises (@p131 @p104)) % 169.03/169.34 (step @p154 :rule trans :premises (@p153 @p152)) % 169.03/169.34 (step @p155 :rule beta-reduce :args ((= (_ @t219 @t1) @t207))) % 169.03/169.34 (step @p156 :rule refl :args (@t1)) % 169.03/169.34 (step @p157 :rule ho_cong :premises (@p131 @p156)) % 169.03/169.34 (step @p158 :rule trans :premises (@p157 @p155)) % 169.03/169.34 (step @p159 :rule nary_cong :premises (@p158 @p154) :args (@t230)) % 169.03/169.34 (step @p160 :rule cong :premises (@p159) :args ((exists @t107 @t230))) % 169.03/169.34 (step @p161 :rule trans :premises (@p160 @p151)) % 169.03/169.34 (step @p162 :rule refl :args (@t195)) % 169.03/169.34 (step @p163 :rule refl :args (@t105)) % 169.03/169.34 (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t105 @t195))) % 169.03/169.34 (step @p165 :rule symm :premises (@p164)) % 169.03/169.34 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 169.03/169.34 (step @p167 :rule refl :args (@t215)) % 169.03/169.34 (step @p168 :rule refl :args (@t106)) % 169.03/169.34 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t106 @t215))) % 169.03/169.34 (step @p170 :rule symm :premises (@p169)) % 169.03/169.34 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 169.03/169.34 (step @p172 :rule cong :premises (@p171) :args (@t231)) % 169.03/169.34 (step @p173 :rule nary_cong :premises (@p172 @p166) :args (@t232)) % 169.03/169.34 (step @p174 :rule cong :premises (@p173) :args ((forall @t107 @t232))) % 169.03/169.34 (step @p175 :rule bool-impl-elim :args (@t106 @t105)) % 169.03/169.34 (step @p176 :rule cong :premises (@p175) :args (@t108)) % 169.03/169.34 (step @p177 :rule trans :premises (@p176 @p174)) % 169.03/169.34 (step @p178 :rule cong :premises (@p177) :args (@t109)) % 169.03/169.34 (step @p179 :rule trans :premises (@p43 @p178)) % 169.03/169.34 (step @p180 :rule ho_cong :premises (@p179 @p146)) % 169.03/169.34 (step @p181 :rule ho_cong :premises (@p180 @p104)) % 169.03/169.34 (step @p182 :rule ho_cong :premises (@p180 @p156)) % 169.03/169.34 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t113)) % 169.03/169.34 (step @p184 :rule cong :premises (@p183) :args (@t114)) % 169.03/169.34 (step @p185 :rule trans :premises (@p184 @p161)) % 169.03/169.34 (step @p186 :rule cong :premises (@p185) :args (@t115)) % 169.03/169.34 (step @p187 :rule trans :premises (@p45 @p186)) % 169.03/169.34 (step @p188 :rule ho_cong :premises (@p187 @p146)) % 169.03/169.34 (step @p189 :rule ho_cong :premises (@p188 @p104)) % 169.03/169.34 (step @p190 :rule cong :premises (@p189) :args (@t17)) % 169.03/169.34 (step @p191 :rule ho_cong :premises (@p179 @p104)) % 169.03/169.34 (step @p192 :rule ho_cong :premises (@p191 @p117)) % 169.03/169.34 (step @p193 :rule ho_cong :premises (@p180 @p126)) % 169.03/169.34 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t20)) % 169.03/169.34 (step @p195 :rule cong :premises (@p194 @p190) :args (@t21)) % 169.03/169.34 (step @p196 :rule cong :premises (@p195) :args (@t23)) % 169.03/169.34 (step @p197 :rule cong :premises (@p196) :args (@t24)) % 169.03/169.34 (step @p198 :rule refl :args (tptp.fool)) % 169.03/169.34 (step @p199 :rule refl :args (@t178)) % 169.03/169.34 (step @p200 :rule refl :args (@t60)) % 169.03/169.34 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t60 @t178))) % 169.03/169.34 (step @p202 :rule symm :premises (@p201)) % 169.03/169.34 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 169.03/169.34 (step @p204 :rule refl :args (@t225)) % 169.03/169.34 (step @p205 :rule refl :args (@t62)) % 169.03/169.34 (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t62 @t225))) % 169.03/169.34 (step @p207 :rule symm :premises (@p206)) % 169.03/169.34 (step @p208 :rule eq_resolve :premises (@p205 @p207)) % 169.03/169.34 (step @p209 :rule cong :premises (@p208) :args (@t63)) % 169.03/169.34 (step @p210 :rule nary_cong :premises (@p209 @p203) :args (@t64)) % 169.03/169.34 (step @p211 :rule cong :premises (@p210) :args (@t66)) % 169.03/169.34 (step @p212 :rule cong :premises (@p211) :args (@t68)) % 169.03/169.34 (step @p213 :rule trans :premises (@p26 @p212)) % 169.03/169.34 (step @p214 :rule ho_cong :premises (@p213 @p198)) % 169.03/169.34 (step @p215 :rule ho_cong :premises (@p214 @p197)) % 169.03/169.34 (step @p216 :rule refl :args (@t169)) % 169.03/169.34 (step @p217 :rule refl :args (@t33)) % 169.03/169.34 (step @p218 :rule cong :premises (@p217 @p216) :args ((= @t33 @t169))) % 169.03/169.34 (step @p219 :rule symm :premises (@p218)) % 169.03/169.34 (step @p220 :rule eq_resolve :premises (@p217 @p219)) % 169.03/169.34 (step @p221 :rule cong :premises (@p220) :args (@t97)) % 169.03/169.34 (step @p222 :rule cong :premises (@p221) :args (@t99)) % 169.03/169.34 (step @p223 :rule trans :premises (@p38 @p222)) % 169.03/169.34 (step @p224 :rule ho_cong :premises (@p223 @p215)) % 169.03/169.34 (step @p225 :rule cong :premises (@p224) :args (@t25)) % 169.03/169.34 (step @p226 :rule trans :premises (@p225 @p145)) % 169.03/169.34 (step @p227 :rule trans :premises (@p226 @p51)) % 169.03/169.34 (step @p228 :rule eq_resolve :premises (@p10 @p227)) % 169.03/169.34 (step @p229 :rule not_or_elim :premises (@p228) :args (0)) % 169.03/169.34 (step @p230 :rule skolemize :premises (@p229)) % 169.03/169.34 (step @p231 :rule bool-double-not-elim :args (@t235)) % 169.03/169.34 (step @p232 :rule refl :args (@t246)) % 169.03/169.34 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t246 (not @t245)))) % 169.03/169.34 (step @p234 :rule cnf_or_neg :args (@t246 0)) % 169.03/169.34 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 169.03/169.34 (step @p236 :rule reordering :premises (@p235) :args ((or @t235 @t246))) % 169.03/169.34 (step @p237 :rule chain_m_resolution :premises (@p236 @p230) :args (@t235 @t247 @t248)) % 169.03/169.34 (step @p238 :rule bool-double-not-elim :args (@t241)) % 169.03/169.34 (step @p239 :rule nary_cong :premises (@p232 @p238) :args ((or @t246 (not @t242)))) % 169.03/169.34 (step @p240 :rule cnf_or_neg :args (@t246 2)) % 169.03/169.34 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 169.03/169.34 (step @p242 :rule reordering :premises (@p241) :args ((or @t241 @t246))) % 169.03/169.34 (step @p243 :rule chain_m_resolution :premises (@p242 @p230) :args (@t241 @t247 @t248)) % 169.03/169.34 (step @p244 :rule instantiate :premises (@p243) :args (@t251)) % 169.03/169.34 (step @p245 :rule not_or_elim :premises (@p228) :args (1)) % 169.03/169.34 ; trust TRUST PREPROCESS_HO_ELIM % 169.03/169.34 (step @p246 :rule trust :premises () :args ((= (or @t256 @t149) (or @t254 @t129)))) % 169.03/169.34 (step @p247 :rule refl :args (@t256)) % 169.03/169.34 (step @p248 :rule nary_cong :premises (@p247 @p52) :args (@t257)) % 169.03/169.34 (step @p249 :rule quant-miniscope-or :args ((= (forall @t57 @t258) @t257))) % 169.03/169.34 (step @p250 :rule trans :premises (@p249 @p248)) % 169.03/169.34 (step @p251 :rule beta-reduce :args ((= @t260 @t258))) % 169.03/169.34 (step @p252 :rule cong :premises (@p251) :args (@t261)) % 169.03/169.34 (step @p253 :rule trans :premises (@p252 @p250)) % 169.03/169.34 (step @p254 :rule beta-reduce :args ((= (_ @t170 @t259) @t261))) % 169.03/169.34 (step @p255 :rule trans :premises (@p254 @p253)) % 169.03/169.34 (step @p256 :rule quant-miniscope-or :args ((= (forall @t65 @t262) @t258))) % 169.03/169.34 (step @p257 :rule aci_norm :args ((= @t263 @t262))) % 169.03/169.34 (step @p258 :rule cong :premises (@p257) :args ((forall @t65 @t263))) % 169.03/169.34 (step @p259 :rule trans :premises (@p258 @p256)) % 169.03/169.34 (step @p260 :rule beta-reduce :args ((= @t265 @t256))) % 169.03/169.34 (step @p261 :rule nary_cong :premises (@p67 @p260) :args (@t266)) % 169.03/169.34 (step @p262 :rule cong :premises (@p261) :args (@t267)) % 169.03/169.34 (step @p263 :rule trans :premises (@p262 @p259)) % 169.03/169.34 (step @p264 :rule cong :premises (@p263) :args (@t268)) % 169.03/169.34 (step @p265 :rule beta-reduce :args ((= (_ @t179 @t264) @t268))) % 169.03/169.34 (step @p266 :rule trans :premises (@p265 @p264)) % 169.03/169.34 (step @p267 :rule beta-reduce :args ((= (_ @t269 tptp.france) @t256))) % 169.03/169.34 (step @p268 :rule beta-reduce :args ((= @t270 @t269))) % 169.03/169.34 (step @p269 :rule ho_cong :premises (@p268 @p117)) % 169.03/169.34 (step @p270 :rule trans :premises (@p269 @p267)) % 169.03/169.34 (step @p271 :rule cong :premises (@p270) :args ((lambda @t14 (_ @t270 tptp.france)))) % 169.03/169.34 (step @p272 :rule ho_cong :premises (@p139 @p271)) % 169.03/169.34 (step @p273 :rule trans :premises (@p272 @p266)) % 169.03/169.34 (step @p274 :rule ho_cong :premises (@p142 @p273)) % 169.03/169.34 (step @p275 :rule trans :premises (@p274 @p255)) % 169.03/169.34 (step @p276 :rule bool-double-not-elim :args (@t208)) % 169.03/169.34 (step @p277 :rule beta-reduce :args ((= (_ @t271 @t3) @t209))) % 169.03/169.34 (step @p278 :rule beta-reduce :args ((= @t272 @t271))) % 169.03/169.34 (step @p279 :rule ho_cong :premises (@p278 @p104)) % 169.03/169.34 (step @p280 :rule trans :premises (@p279 @p277)) % 169.03/169.34 (step @p281 :rule cong :premises (@p280) :args (@t273)) % 169.03/169.34 (step @p282 :rule trans :premises (@p281 @p276)) % 169.03/169.34 (step @p283 :rule refl :args (@t4)) % 169.03/169.34 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((and @t4 @t273))) % 169.03/169.34 (step @p285 :rule ho_cong :premises (@p187 @p156)) % 169.03/169.34 (step @p286 :rule ho_cong :premises (@p285 @p104)) % 169.03/169.34 (step @p287 :rule cong :premises (@p286) :args (@t119)) % 169.03/169.34 (step @p288 :rule nary_cong :premises (@p283 @p287) :args (@t120)) % 169.03/169.34 (step @p289 :rule trans :premises (@p288 @p284)) % 169.03/169.34 (step @p290 :rule cong :premises (@p289) :args (@t121)) % 169.03/169.34 (step @p291 :rule trans :premises (@p47 @p290)) % 169.03/169.34 (step @p292 :rule ho_cong :premises (@p291 @p126)) % 169.03/169.34 (step @p293 :rule ho_cong :premises (@p292 @p117)) % 169.03/169.34 (step @p294 :rule cong :premises (@p293) :args (@t15)) % 169.03/169.34 (step @p295 :rule ho_cong :premises (@p214 @p294)) % 169.03/169.34 (step @p296 :rule ho_cong :premises (@p223 @p295)) % 169.03/169.34 (step @p297 :rule trans :premises (@p296 @p275)) % 169.03/169.34 (step @p298 :rule trans :premises (@p297 @p246)) % 169.03/169.34 (step @p299 :rule eq_resolve :premises (@p8 @p298)) % 169.03/169.34 (step @p300 :rule reordering :premises (@p299) :args ((or @t129 @t254))) % 169.03/169.34 (step @p301 :rule chain_m_resolution :premises (@p300 @p245) :args (@t254 @t247 (@list @t129))) % 169.03/169.34 (step @p302 :rule cnf_and_pos :args (@t254 1)) % 169.03/169.34 (step @p303 :rule reordering :premises (@p302) :args ((or @t253 (not @t254)))) % 169.03/169.34 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t253 @t274 (@list @t254))) % 169.03/169.34 (step @p305 :rule instantiate :premises (@p304) :args ((@list @t237))) % 169.03/169.34 (step @p306 :rule bool-double-not-elim :args (@t278)) % 169.03/169.34 (step @p307 :rule refl :args (@t281)) % 169.03/169.34 (step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or @t281 (not @t280)))) % 169.03/169.34 (step @p309 :rule cnf_or_neg :args (@t281 0)) % 169.03/169.34 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 169.03/169.34 (step @p311 :rule reordering :premises (@p310) :args ((or @t278 @t281))) % 169.03/169.34 (step @p312 :rule cnf_or_neg :args (@t281 1)) % 169.03/169.34 (step @p313 :rule bool-double-not-elim :args (@t239)) % 169.03/169.34 (step @p314 :rule nary_cong :premises (@p232 @p313) :args ((or @t246 (not @t240)))) % 169.03/169.34 (step @p315 :rule cnf_or_neg :args (@t246 3)) % 169.03/169.34 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 169.03/169.34 (step @p317 :rule reordering :premises (@p316) :args ((or @t239 @t246))) % 169.03/169.34 (step @p318 :rule chain_m_resolution :premises (@p317 @p230) :args (@t239 @t247 @t248)) % 169.03/169.34 (step @p319 :rule instantiate :premises (@p318) :args (@t282)) % 169.03/169.34 (step @p320 :rule cnf_or_pos :args (@t284)) % 169.03/169.34 (step @p321 :rule reordering :premises (@p320) :args ((or @t280 @t283 (not @t284)))) % 169.03/169.34 (step @p322 :rule bool-double-not-elim :args (@t243)) % 169.03/169.34 (step @p323 :rule nary_cong :premises (@p232 @p322) :args ((or @t246 (not @t244)))) % 169.03/169.34 (step @p324 :rule cnf_or_neg :args (@t246 1)) % 169.03/169.34 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 169.03/169.34 (step @p326 :rule reordering :premises (@p325) :args ((or @t243 @t246))) % 169.03/169.34 (step @p327 :rule chain_m_resolution :premises (@p326 @p230) :args (@t243 @t247 @t248)) % 169.03/169.34 (step @p328 :rule instantiate :premises (@p327) :args (@t282)) % 169.03/169.34 (step @p329 :rule cnf_or_pos :args (@t286)) % 169.03/169.34 (step @p330 :rule reordering :premises (@p329) :args ((or @t279 @t285 (not @t286)))) % 169.03/169.34 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p321 @p319 @p312 @p311) :args (@t281 (@list false false false true false) (@list @t286 @t283 @t284 @t279 @t278))) % 169.03/169.34 (step @p332 :rule refl :args (@t287)) % 169.03/169.34 (step @p333 :rule bool-double-not-elim :args (@t275)) % 169.03/169.34 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or (not @t288) @t287))) % 169.03/169.34 (assume-push @p376 @t288) % 169.03/169.34 (step @p336 :rule skolemize :premises (@p376)) % 169.03/169.34 (step-pop @p377 :rule scope :premises (@p336)) % 169.03/169.34 (step @p337 :rule process_scope :premises (@p377) :args (@t287)) % 169.03/169.34 (step @p339 :rule implies_elim :premises (@p337)) % 169.03/169.34 (step @p340 :rule eq_resolve :premises (@p339 @p334)) % 169.03/169.34 (step @p341 :rule chain_m_resolution :premises (@p340 @p331) :args (@t275 @t274 (@list @t281))) % 169.03/169.34 (step @p342 :rule cnf_or_pos :args (@t290)) % 169.03/169.34 (step @p343 :rule reordering :premises (@p342) :args ((or @t289 @t288 (not @t290)))) % 169.03/169.34 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p305) :args (@t289 @t291 (@list @t275 @t290))) % 169.03/169.34 (step @p345 :rule refl :args (@t297)) % 169.03/169.34 (step @p346 :rule bool-double-not-elim :args (@t249)) % 169.03/169.34 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or (not @t289) @t297))) % 169.03/169.34 (assume-push @p378 @t289) % 169.03/169.34 (step @p349 :rule skolemize :premises (@p378)) % 169.03/169.34 (step-pop @p379 :rule scope :premises (@p349)) % 169.03/169.34 (step @p350 :rule process_scope :premises (@p379) :args (@t297)) % 169.03/169.34 (step @p352 :rule implies_elim :premises (@p350)) % 169.03/169.34 (step @p353 :rule eq_resolve :premises (@p352 @p347)) % 169.03/169.34 (step @p354 :rule chain_m_resolution :premises (@p353 @p344) :args (@t297 @t247 (@list @t249))) % 169.03/169.34 (step @p355 :rule bool-double-not-elim :args (@t294)) % 169.03/169.34 (step @p356 :rule refl :args (@t296)) % 169.03/169.34 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t296 (not @t295)))) % 169.03/169.34 (step @p358 :rule cnf_or_neg :args (@t296 0)) % 169.03/169.34 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 169.03/169.34 (step @p360 :rule reordering :premises (@p359) :args ((or @t294 @t296))) % 169.03/169.34 (step @p361 :rule chain_m_resolution :premises (@p360 @p354) :args (@t294 @t247 @t298)) % 169.03/169.34 (step @p362 :rule cnf_or_pos :args (@t300)) % 169.03/169.34 (step @p363 :rule reordering :premises (@p362) :args ((or @t295 @t299 (not @t300)))) % 169.03/169.34 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p244) :args (@t299 @t291 (@list @t294 @t300))) % 169.03/169.34 (step @p365 :rule cnf_or_neg :args (@t296 1)) % 169.03/169.34 (step @p366 :rule chain_m_resolution :premises (@p365 @p354) :args ((not @t293) @t247 @t298)) % 169.03/169.34 (step @p367 :rule cnf_or_pos :args (@t302)) % 169.03/169.34 (step @p368 :rule reordering :premises (@p367) :args ((or @t293 @t301 @t303))) % 169.03/169.34 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p364) :args (@t303 @t304 (@list @t293 @t299))) % 169.03/169.34 (assume-push @p380 @t235) % 169.03/169.34 (step @p371 :rule instantiate :premises (@p237) :args (@t251)) % 169.03/169.34 (step-pop @p381 :rule scope :premises (@p371)) % 169.03/169.34 (step @p372 :rule process_scope :premises (@p381) :args (@t302)) % 169.03/169.34 (step @p374 :rule implies_elim :premises (@p372)) % 169.03/169.34 (step @p375 false :rule chain_m_resolution :premises (@p374 @p369 @p237) :args (false @t304 (@list @t302 @t235))) % 169.03/169.34 ) % 169.03/169.34 % SZS output end Proof % 169.03/169.34 % cvc5 exiting %------------------------------------------------------------------------------