%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG003^1 : 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 : n024.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 08:15:58 AM UTC 2026 % Result : Theorem 2.99s 3.22s % Output : Proof 2.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEG003^1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.26 % Computer : n024.cluster.edu % 0.06/0.26 % Model : x86_64 x86_64 % 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.26 % Memory : 8042.1875MB % 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.26 % CPULimit : 300 % 0.06/0.26 % WCLimit : 300 % 0.06/0.26 % DateTime : Mon Jun 1 18:02:15 EDT 2026 % 0.06/0.26 % CPUTime : % 0.14/0.35 %----Proving TH0 % 2.99/3.22 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.99/3.22 % SZS status Theorem % 2.99/3.22 % SZS output start Proof % 2.99/3.22 ( % 2.99/3.22 (declare-sort tptp.reg 0) % 2.99/3.22 (declare-sort $$unsorted 0) % 2.99/3.22 (declare-sort tptp.mu 0) % 2.99/3.22 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 2.99/3.22 (declare-const tptp.france tptp.reg) % 2.99/3.22 (declare-const tptp.catalunya tptp.reg) % 2.99/3.22 (declare-const tptp.spain tptp.reg) % 2.99/3.22 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 2.99/3.22 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 2.99/3.22 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 2.99/3.22 (declare-const tptp.paris tptp.reg) % 2.99/3.22 (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" $$unsorted)) (= _let_2 _let_1))))) % 2.99/3.22 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 2.99/3.22 (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)))))) % 2.99/3.22 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.99/3.22 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 2.99/3.22 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 2.99/3.22 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 2.99/3.22 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 2.99/3.22 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 2.99/3.22 (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))))))) % 2.99/3.22 (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))))))) % 2.99/3.22 (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)))))) % 2.99/3.22 (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)))))) % 2.99/3.22 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 2.99/3.22 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 2.99/3.22 (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)))))) % 2.99/3.22 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 2.99/3.22 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.99/3.22 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.99/3.22 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 2.99/3.22 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 2.99/3.22 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 2.99/3.22 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 2.99/3.22 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 2.99/3.22 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 2.99/3.22 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 2.99/3.22 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 2.99/3.22 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 2.99/3.22 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 2.99/3.22 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 2.99/3.22 (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)))))) % 2.99/3.22 (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))))))))) % 2.99/3.22 (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)))))) % 2.99/3.22 (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))))))))) % 2.99/3.22 (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))))))) % 2.99/3.22 (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))))))) % 2.99/3.22 (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))))))) % 2.99/3.22 (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)))))))))) % 2.99/3.22 (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))))))))))) % 2.99/3.22 (define @t1 () (@var "X" tptp.reg)) % 2.99/3.22 (define @t2 () (_ tptp.c @t1)) % 2.99/3.22 (define @t3 () (@var "Y" tptp.reg)) % 2.99/3.22 (define @t4 () (_ (_ tptp.c @t3) @t1)) % 2.99/3.22 (define @t5 () (_ @t2 @t3)) % 2.99/3.22 (define @t6 () (@list @t1 @t3)) % 2.99/3.22 (define @t7 () (forall @t6 (=> @t5 @t4))) % 2.99/3.22 (define @t8 () (@var "__flatten_var_0" $$unsorted)) % 2.99/3.22 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 2.99/3.22 (define @t10 () (_ tptp.mbox tptp.a)) % 2.99/3.22 (define @t11 () (_ tptp.mbox tptp.fool)) % 2.99/3.22 (define @t12 () (@list @t9 @t8)) % 2.99/3.22 (define @t13 () (lambda @t12 (_ (_ (_ tptp.mimplies (_ @t11 @t9)) (_ @t10 @t9)) @t8))) % 2.99/3.22 (define @t14 () (@list (@var "X" $$unsorted))) % 2.99/3.22 (define @t15 () (lambda @t14 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))) % 2.99/3.22 (define @t16 () (lambda @t14 (_ (_ tptp.ec tptp.spain) tptp.france))) % 2.99/3.22 (define @t17 () (lambda @t14 (_ (_ tptp.ntpp tptp.paris) tptp.france))) % 2.99/3.22 (define @t18 () (and (_ (_ tptp.dc tptp.catalunya) tptp.paris) (_ (_ tptp.dc tptp.spain) tptp.paris))) % 2.99/3.22 (define @t19 () (lambda @t14 @t18)) % 2.99/3.22 (define @t20 () (not (_ tptp.mvalid (_ @t10 @t19)))) % 2.99/3.22 (define @t21 () (@var "Y" tptp.mu)) % 2.99/3.22 (define @t22 () (@var "X" tptp.mu)) % 2.99/3.22 (define @t23 () (@var "W" $$unsorted)) % 2.99/3.22 (define @t24 () (lambda (@list @t22 @t21 @t23) (= @t22 @t21))) % 2.99/3.22 (define @t25 () (@var "Y" (-> $$unsorted Bool))) % 2.99/3.22 (define @t26 () (@var "X" (-> $$unsorted Bool))) % 2.99/3.22 (define @t27 () (lambda (@list @t26 @t25 @t23) (= (_ @t26 @t23) (_ @t25 @t23)))) % 2.99/3.22 (define @t28 () (_ @t9 @t23)) % 2.99/3.22 (define @t29 () (not @t28)) % 2.99/3.22 (define @t30 () (@list @t9 @t23)) % 2.99/3.22 (define @t31 () (lambda @t30 @t29)) % 2.99/3.22 (define @t32 () (@var "Psi" (-> $$unsorted Bool))) % 2.99/3.22 (define @t33 () (_ @t32 @t23)) % 2.99/3.22 (define @t34 () (lambda (@list @t9 @t32 @t23) (or @t28 @t33))) % 2.99/3.22 (define @t35 () (_ tptp.mnot @t32)) % 2.99/3.22 (define @t36 () (_ tptp.mnot @t9)) % 2.99/3.22 (define @t37 () (_ tptp.mor @t36)) % 2.99/3.22 (define @t38 () (@list @t9 @t32 @t8)) % 2.99/3.22 (define @t39 () (lambda @t38 (_ (_ tptp.mnot (_ @t37 @t35)) @t8))) % 2.99/3.22 (define @t40 () (lambda @t38 (_ (_ @t37 @t32) @t8))) % 2.99/3.22 (define @t41 () (lambda @t38 (_ (_ (_ tptp.mor @t35) @t9) @t8))) % 2.99/3.22 (define @t42 () (lambda @t38 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t32)) (_ (_ tptp.mimplies @t32) @t9)) @t8))) % 2.99/3.22 (define @t43 () (lambda @t38 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t32)) @t8))) % 2.99/3.22 (define @t44 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 2.99/3.22 (define @t45 () (_ @t44 @t22)) % 2.99/3.22 (define @t46 () (lambda (@list @t44 @t23) (forall (@list @t22) (_ @t45 @t23)))) % 2.99/3.22 (define @t47 () (@var "P" (-> $$unsorted Bool))) % 2.99/3.22 (define @t48 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 2.99/3.22 (define @t49 () (_ @t48 @t47)) % 2.99/3.22 (define @t50 () (_ @t49 @t23)) % 2.99/3.22 (define @t51 () (@list @t47)) % 2.99/3.22 (define @t52 () (forall @t51 @t50)) % 2.99/3.22 (define @t53 () (@list @t48 @t23)) % 2.99/3.22 (define @t54 () (lambda @t53 @t52)) % 2.99/3.22 (define @t55 () (lambda (@list @t44 @t8) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t22 @t8) (_ (_ tptp.mnot @t45) @t8)))) @t8))) % 2.99/3.22 (define @t56 () (lambda (@list @t48 @t8) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t47 @t8) (_ (_ tptp.mnot @t49) @t8)))) @t8))) % 2.99/3.22 (define @t57 () (@list @t23)) % 2.99/3.22 (define @t58 () (lambda @t57 true)) % 2.99/3.22 (define @t59 () (@var "V" $$unsorted)) % 2.99/3.22 (define @t60 () (_ @t9 @t59)) % 2.99/3.22 (define @t61 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 2.99/3.22 (define @t62 () (_ (_ @t61 @t23) @t59)) % 2.99/3.22 (define @t63 () (not @t62)) % 2.99/3.22 (define @t64 () (or @t63 @t60)) % 2.99/3.22 (define @t65 () (@list @t59)) % 2.99/3.22 (define @t66 () (forall @t65 @t64)) % 2.99/3.22 (define @t67 () (@list @t61 @t9 @t23)) % 2.99/3.22 (define @t68 () (lambda @t67 @t66)) % 2.99/3.22 (define @t69 () (lambda (@list @t61 @t9 @t8) (_ (_ tptp.mnot (_ (_ tptp.mbox @t61) @t36)) @t8))) % 2.99/3.22 (define @t70 () (@var "S" $$unsorted)) % 2.99/3.22 (define @t71 () (_ @t61 @t70)) % 2.99/3.22 (define @t72 () (@list @t70)) % 2.99/3.22 (define @t73 () (@list @t61)) % 2.99/3.22 (define @t74 () (lambda @t73 (forall @t72 (_ @t71 @t70)))) % 2.99/3.22 (define @t75 () (@var "T" $$unsorted)) % 2.99/3.22 (define @t76 () (_ @t61 @t75)) % 2.99/3.22 (define @t77 () (_ @t71 @t75)) % 2.99/3.22 (define @t78 () (lambda @t73 (forall (@list @t70 @t75) (=> @t77 (_ @t76 @t70))))) % 2.99/3.22 (define @t79 () (@list @t75)) % 2.99/3.22 (define @t80 () (lambda @t73 (forall @t72 (exists @t79 @t77)))) % 2.99/3.22 (define @t81 () (@var "U" $$unsorted)) % 2.99/3.22 (define @t82 () (_ @t71 @t81)) % 2.99/3.22 (define @t83 () (_ @t76 @t81)) % 2.99/3.22 (define @t84 () (@list @t70 @t75 @t81)) % 2.99/3.22 (define @t85 () (lambda @t73 (forall @t84 (=> (and @t77 @t83) @t82)))) % 2.99/3.22 (define @t86 () (and @t77 @t82)) % 2.99/3.22 (define @t87 () (lambda @t73 (forall @t84 (=> @t86 @t83)))) % 2.99/3.22 (define @t88 () (= @t75 @t81)) % 2.99/3.22 (define @t89 () (lambda @t73 (forall @t84 (=> @t86 @t88)))) % 2.99/3.22 (define @t90 () (@list @t81)) % 2.99/3.22 (define @t91 () (lambda @t73 (forall @t72 (exists @t79 (and @t77 (forall @t90 (=> @t82 @t88))))))) % 2.99/3.22 (define @t92 () (_ @t61 @t81)) % 2.99/3.22 (define @t93 () (_ @t92 @t75)) % 2.99/3.22 (define @t94 () (lambda @t73 (forall @t84 (=> @t77 (exists @t90 (and @t82 @t93)))))) % 2.99/3.22 (define @t95 () (lambda @t73 (forall @t84 (=> @t86 (or @t83 @t88 @t93))))) % 2.99/3.22 (define @t96 () (lambda @t73 (forall @t84 (=> @t86 (exists @t65 (and (_ @t76 @t59) (_ @t92 @t59))))))) % 2.99/3.22 (define @t97 () (forall @t57 @t28)) % 2.99/3.22 (define @t98 () (@list @t9)) % 2.99/3.22 (define @t99 () (lambda @t98 @t97)) % 2.99/3.22 (define @t100 () (lambda @t98 (forall @t57 @t29))) % 2.99/3.22 (define @t101 () (lambda @t98 (exists @t57 @t28))) % 2.99/3.22 (define @t102 () (lambda @t98 (exists @t57 @t29))) % 2.99/3.22 (define @t103 () (not @t5)) % 2.99/3.22 (define @t104 () (lambda @t6 @t103)) % 2.99/3.22 (define @t105 () (@var "Z" tptp.reg)) % 2.99/3.22 (define @t106 () (_ tptp.c @t105)) % 2.99/3.22 (define @t107 () (_ @t106 @t3)) % 2.99/3.22 (define @t108 () (_ @t106 @t1)) % 2.99/3.22 (define @t109 () (@list @t105)) % 2.99/3.22 (define @t110 () (forall @t109 (=> @t108 @t107))) % 2.99/3.22 (define @t111 () (lambda @t6 @t110)) % 2.99/3.22 (define @t112 () (_ (_ tptp.p @t3) @t1)) % 2.99/3.22 (define @t113 () (_ (_ tptp.p @t1) @t3)) % 2.99/3.22 (define @t114 () (lambda @t6 (and @t113 @t112))) % 2.99/3.22 (define @t115 () (_ tptp.p @t105)) % 2.99/3.22 (define @t116 () (and (_ @t115 @t1) (_ @t115 @t3))) % 2.99/3.22 (define @t117 () (exists @t109 @t116)) % 2.99/3.22 (define @t118 () (lambda @t6 @t117)) % 2.99/3.22 (define @t119 () (not @t112)) % 2.99/3.22 (define @t120 () (_ (_ tptp.o @t1) @t3)) % 2.99/3.22 (define @t121 () (lambda @t6 (and @t120 (not @t113) @t119))) % 2.99/3.22 (define @t122 () (not @t120)) % 2.99/3.22 (define @t123 () (and @t5 @t122)) % 2.99/3.22 (define @t124 () (lambda @t6 @t123)) % 2.99/3.22 (define @t125 () (and @t113 @t119)) % 2.99/3.22 (define @t126 () (lambda @t6 @t125)) % 2.99/3.22 (define @t127 () (_ tptp.ec @t105)) % 2.99/3.22 (define @t128 () (and (_ @t127 @t1) (_ @t127 @t3))) % 2.99/3.22 (define @t129 () (exists @t109 @t128)) % 2.99/3.22 (define @t130 () (_ (_ tptp.pp @t1) @t3)) % 2.99/3.22 (define @t131 () (and @t130 @t129)) % 2.99/3.22 (define @t132 () (lambda @t6 @t131)) % 2.99/3.22 (define @t133 () (not @t129)) % 2.99/3.22 (define @t134 () (and @t130 @t133)) % 2.99/3.22 (define @t135 () (lambda @t6 @t134)) % 2.99/3.22 (define @t136 () (@var "BOUND_VARIABLE_8753" $$unsorted)) % 2.99/3.22 (define @t137 () (_ @t47 @t136)) % 2.99/3.22 (define @t138 () (not (tptp.a @t23 @t136))) % 2.99/3.22 (define @t139 () (_ @t47 @t59)) % 2.99/3.22 (define @t140 () (not (tptp.fool @t23 @t59))) % 2.99/3.22 (define @t141 () (not (forall @t65 (or @t140 @t139)))) % 2.99/3.22 (define @t142 () (or @t141 @t138 @t137)) % 2.99/3.22 (define @t143 () (forall (@list @t23 @t47 @t136) @t142)) % 2.99/3.22 (define @t144 () (@list @t47 @t136)) % 2.99/3.22 (define @t145 () (forall @t144 @t142)) % 2.99/3.22 (define @t146 () (lambda @t57 @t145)) % 2.99/3.22 (define @t147 () (_ @t146 @t23)) % 2.99/3.22 (define @t148 () (forall @t57 @t147)) % 2.99/3.22 (define @t149 () (_ @t9 @t23)) % 2.99/3.22 (define @t150 () (lambda @t98 (forall @t57 @t149))) % 2.99/3.22 (define @t151 () (or @t138 @t137)) % 2.99/3.22 (define @t152 () (or @t141 @t151)) % 2.99/3.22 (define @t153 () (forall @t144 @t152)) % 2.99/3.22 (define @t154 () (@list @t136)) % 2.99/3.22 (define @t155 () (forall @t154 @t152)) % 2.99/3.22 (define @t156 () (forall @t154 @t151)) % 2.99/3.22 (define @t157 () (or @t141 @t156)) % 2.99/3.22 (define @t158 () (not (tptp.a @t23 @t59))) % 2.99/3.22 (define @t159 () (or @t141 (forall @t65 (or @t158 @t139)))) % 2.99/3.22 (define @t160 () (_ @t9 @t59)) % 2.99/3.22 (define @t161 () (forall @t65 (or (not (tptp.a @t8 @t59)) @t160))) % 2.99/3.22 (define @t162 () (forall @t65 (or (not (tptp.fool @t8 @t59)) @t160))) % 2.99/3.22 (define @t163 () (not @t162)) % 2.99/3.22 (define @t164 () (or @t163 @t161)) % 2.99/3.22 (define @t165 () (lambda @t12 @t164)) % 2.99/3.22 (define @t166 () (_ @t165 @t47 @t23)) % 2.99/3.22 (define @t167 () (forall @t51 @t166)) % 2.99/3.22 (define @t168 () (lambda @t57 @t167)) % 2.99/3.22 (define @t169 () (_ @t48 @t47 @t23)) % 2.99/3.22 (define @t170 () (lambda @t53 (forall @t51 @t169))) % 2.99/3.22 (define @t171 () (@list @t8)) % 2.99/3.22 (define @t172 () (forall @t65 (or @t158 @t160))) % 2.99/3.22 (define @t173 () (lambda @t57 @t172)) % 2.99/3.22 (define @t174 () (_ @t173 @t8)) % 2.99/3.22 (define @t175 () (or @t163 @t174)) % 2.99/3.22 (define @t176 () (lambda @t171 @t175)) % 2.99/3.22 (define @t177 () (_ @t32 @t8)) % 2.99/3.22 (define @t178 () (@list @t32 @t8)) % 2.99/3.22 (define @t179 () (lambda @t30 @t172)) % 2.99/3.22 (define @t180 () (_ @t61 @t23 @t59)) % 2.99/3.22 (define @t181 () (lambda @t67 (forall @t65 (or (not @t180) @t160)))) % 2.99/3.22 (define @t182 () (_ @t181 tptp.a)) % 2.99/3.22 (define @t183 () (forall @t65 (or @t140 @t160))) % 2.99/3.22 (define @t184 () (lambda @t57 @t183)) % 2.99/3.22 (define @t185 () (_ @t184 @t8)) % 2.99/3.22 (define @t186 () (not @t185)) % 2.99/3.22 (define @t187 () (or @t186 @t177)) % 2.99/3.22 (define @t188 () (lambda @t178 @t187)) % 2.99/3.22 (define @t189 () (or (not (_ @t9 @t8)) @t177)) % 2.99/3.22 (define @t190 () (lambda @t38 @t189)) % 2.99/3.22 (define @t191 () (lambda @t30 @t183)) % 2.99/3.22 (define @t192 () (_ @t181 tptp.fool)) % 2.99/3.22 (define @t193 () (or @t29 @t33)) % 2.99/3.22 (define @t194 () (lambda @t57 @t193)) % 2.99/3.22 (define @t195 () (@list @t32 @t23)) % 2.99/3.22 (define @t196 () (lambda @t57 @t29)) % 2.99/3.22 (define @t197 () (_ @t196 @t23)) % 2.99/3.22 (define @t198 () (or @t197 @t33)) % 2.99/3.22 (define @t199 () (lambda @t195 @t198)) % 2.99/3.22 (define @t200 () (@list @t23 @t59)) % 2.99/3.22 (define @t201 () (forall @t200 @t158)) % 2.99/3.22 (define @t202 () (@quantifiers_skolemize @t201 1)) % 2.99/3.22 (define @t203 () (@quantifiers_skolemize @t201 0)) % 2.99/3.22 (define @t204 () (tptp.a @t203 @t202)) % 2.99/3.22 (define @t205 () (not @t204)) % 2.99/3.22 (define @t206 () (not (tptp.fool @t203 @t59))) % 2.99/3.22 (define @t207 () (forall @t65 @t206)) % 2.99/3.22 (define @t208 () (not @t207)) % 2.99/3.22 (define @t209 () (or @t208 @t205)) % 2.99/3.22 (define @t210 () (lambda (@list (@var "BOUND_VARIABLE_36229" $$unsorted)) false)) % 2.99/3.22 (define @t211 () (_ @t210 @t202)) % 2.99/3.22 (define @t212 () (_ @t210 @t59)) % 2.99/3.22 (define @t213 () (or @t206 @t212)) % 2.99/3.22 (define @t214 () (forall @t65 @t213)) % 2.99/3.22 (define @t215 () (not @t214)) % 2.99/3.22 (define @t216 () (or @t215 @t205 @t211)) % 2.99/3.22 (define @t217 () (@list false)) % 2.99/3.22 (define @t218 () (tptp.c tptp.spain tptp.paris)) % 2.99/3.22 (define @t219 () (_ tptp.c tptp.spain)) % 2.99/3.22 (define @t220 () (_ @t219 tptp.paris)) % 2.99/3.22 (define @t221 () (not @t220)) % 2.99/3.22 (define @t222 () (tptp.c tptp.catalunya tptp.paris)) % 2.99/3.22 (define @t223 () (_ tptp.c tptp.catalunya)) % 2.99/3.22 (define @t224 () (_ @t223 tptp.paris)) % 2.99/3.22 (define @t225 () (not @t224)) % 2.99/3.22 (define @t226 () (and @t225 @t221)) % 2.99/3.22 (define @t227 () (or @t226 @t201)) % 2.99/3.22 (define @t228 () (forall @t65 @t158)) % 2.99/3.22 (define @t229 () (forall @t57 @t228)) % 2.99/3.22 (define @t230 () (or @t226 @t229)) % 2.99/3.22 (define @t231 () (or @t226 @t228)) % 2.99/3.22 (define @t232 () (lambda @t57 @t231)) % 2.99/3.22 (define @t233 () (_ @t232 @t23)) % 2.99/3.22 (define @t234 () (forall @t57 @t233)) % 2.99/3.22 (define @t235 () (or @t226 @t158)) % 2.99/3.22 (define @t236 () (or @t158 @t226)) % 2.99/3.22 (define @t237 () (lambda @t14 @t226)) % 2.99/3.22 (define @t238 () (_ @t237 @t59)) % 2.99/3.22 (define @t239 () (or @t158 @t238)) % 2.99/3.22 (define @t240 () (forall @t65 @t239)) % 2.99/3.22 (define @t241 () (lambda @t57 @t240)) % 2.99/3.22 (define @t242 () (_ @t219 @t3)) % 2.99/3.22 (define @t243 () (@list @t3)) % 2.99/3.22 (define @t244 () (lambda @t243 (not @t242))) % 2.99/3.22 (define @t245 () (_ @t104 tptp.spain)) % 2.99/3.22 (define @t246 () (lambda @t243 (not (_ @t223 @t3)))) % 2.99/3.22 (define @t247 () (_ @t104 tptp.catalunya)) % 2.99/3.22 (define @t248 () (and (_ @t247 tptp.paris) (_ @t245 tptp.paris))) % 2.99/3.22 (define @t249 () (lambda @t14 @t248)) % 2.99/3.22 (define @t250 () (not @t201)) % 2.99/3.22 (define @t251 () (not @t205)) % 2.99/3.22 (define @t252 () (@list true)) % 2.99/3.22 (define @t253 () (@list @t201)) % 2.99/3.22 (define @t254 () (@list false false)) % 2.99/3.22 (define @t255 () (@quantifiers_skolemize @t207 0)) % 2.99/3.22 (define @t256 () (tptp.fool @t203 @t255)) % 2.99/3.22 (define @t257 () (not @t256)) % 2.99/3.22 (define @t258 () (not @t257)) % 2.99/3.22 (define @t259 () (forall @t200 @t140)) % 2.99/3.22 (define @t260 () (@var "BOUND_VARIABLE_8327" tptp.reg)) % 2.99/3.22 (define @t261 () (tptp.c @t260 tptp.france)) % 2.99/3.22 (define @t262 () (tptp.c @t260 @t105)) % 2.99/3.22 (define @t263 () (not @t262)) % 2.99/3.22 (define @t264 () (@list @t260)) % 2.99/3.22 (define @t265 () (tptp.c @t260 tptp.spain)) % 2.99/3.22 (define @t266 () (not (forall @t264 (or @t263 @t265)))) % 2.99/3.22 (define @t267 () (forall @t109 (or @t266 (not (forall @t264 (or @t263 @t261)))))) % 2.99/3.22 (define @t268 () (tptp.c tptp.spain tptp.france)) % 2.99/3.22 (define @t269 () (_ @t219 tptp.france)) % 2.99/3.22 (define @t270 () (and @t269 @t267)) % 2.99/3.22 (define @t271 () (forall @t65 @t140)) % 2.99/3.22 (define @t272 () (forall @t57 @t271)) % 2.99/3.22 (define @t273 () (or @t270 @t272)) % 2.99/3.22 (define @t274 () (or @t270 @t271)) % 2.99/3.22 (define @t275 () (lambda @t57 @t274)) % 2.99/3.22 (define @t276 () (_ @t275 @t23)) % 2.99/3.22 (define @t277 () (forall @t57 @t276)) % 2.99/3.22 (define @t278 () (or @t270 @t140)) % 2.99/3.22 (define @t279 () (or @t140 @t270)) % 2.99/3.22 (define @t280 () (lambda @t14 @t270)) % 2.99/3.22 (define @t281 () (_ @t280 @t59)) % 2.99/3.22 (define @t282 () (or @t140 @t281)) % 2.99/3.22 (define @t283 () (forall @t65 @t282)) % 2.99/3.22 (define @t284 () (lambda @t57 @t283)) % 2.99/3.22 (define @t285 () (tptp.c @t260 @t3)) % 2.99/3.22 (define @t286 () (forall @t264 (or @t263 @t285))) % 2.99/3.22 (define @t287 () (not @t286)) % 2.99/3.22 (define @t288 () (lambda @t243 (and @t242 (forall @t109 (or @t266 @t287))))) % 2.99/3.22 (define @t289 () (tptp.c @t260 @t1)) % 2.99/3.22 (define @t290 () (forall @t264 (or @t263 @t289))) % 2.99/3.22 (define @t291 () (forall @t109 (or (not @t290) @t287))) % 2.99/3.22 (define @t292 () (and @t5 @t291)) % 2.99/3.22 (define @t293 () (lambda @t6 @t292)) % 2.99/3.22 (define @t294 () (_ @t293 tptp.spain)) % 2.99/3.22 (define @t295 () (not @t291)) % 2.99/3.22 (define @t296 () (lambda @t243 @t295)) % 2.99/3.22 (define @t297 () (_ (lambda @t6 @t295) @t1)) % 2.99/3.22 (define @t298 () (not (_ @t297 @t3))) % 2.99/3.22 (define @t299 () (and @t290 @t286)) % 2.99/3.22 (define @t300 () (forall @t109 (not @t299))) % 2.99/3.22 (define @t301 () (not @t300)) % 2.99/3.22 (define @t302 () (lambda @t243 @t286)) % 2.99/3.22 (define @t303 () (tptp.c @t105 @t3)) % 2.99/3.22 (define @t304 () (tptp.c @t105 @t1)) % 2.99/3.22 (define @t305 () (not @t304)) % 2.99/3.22 (define @t306 () (forall @t109 (or @t305 @t303))) % 2.99/3.22 (define @t307 () (@list @t105)) % 2.99/3.22 (define @t308 () (lambda @t6 @t306)) % 2.99/3.22 (define @t309 () (_ @t308 @t105)) % 2.99/3.22 (define @t310 () (and (_ @t309 @t1) (_ @t309 @t3))) % 2.99/3.22 (define @t311 () (not @t108)) % 2.99/3.22 (define @t312 () (or @t311 @t107)) % 2.99/3.22 (define @t313 () (and @t268 @t267)) % 2.99/3.22 (define @t314 () (not @t313)) % 2.99/3.22 (define @t315 () (@list @t313)) % 2.99/3.22 (define @t316 () (@var "BOUND_VARIABLE_9877" tptp.reg)) % 2.99/3.22 (define @t317 () (@var "BOUND_VARIABLE_9878" tptp.reg)) % 2.99/3.22 (define @t318 () (not (tptp.c @t316 @t317))) % 2.99/3.22 (define @t319 () (@list @t316)) % 2.99/3.22 (define @t320 () (@list @t316 @t317)) % 2.99/3.22 (define @t321 () (@var "BOUND_VARIABLE_8440" tptp.reg)) % 2.99/3.22 (define @t322 () (tptp.c @t260 tptp.paris)) % 2.99/3.22 (define @t323 () (not (tptp.c @t260 @t321))) % 2.99/3.22 (define @t324 () (not (forall @t264 (or @t323 @t322)))) % 2.99/3.22 (define @t325 () (not (forall @t264 (or @t323 @t265)))) % 2.99/3.22 (define @t326 () (@list @t321)) % 2.99/3.22 (define @t327 () (forall @t326 (or @t325 @t324))) % 2.99/3.22 (define @t328 () (@quantifiers_skolemize @t327 0)) % 2.99/3.22 (define @t329 () (not (tptp.c @t260 @t328))) % 2.99/3.22 (define @t330 () (forall @t264 (or @t329 @t261))) % 2.99/3.22 (define @t331 () (not @t330)) % 2.99/3.22 (define @t332 () (forall @t264 (or @t329 @t265))) % 2.99/3.22 (define @t333 () (not @t332)) % 2.99/3.22 (define @t334 () (or @t333 @t331)) % 2.99/3.22 (define @t335 () (tptp.c @t105 tptp.paris)) % 2.99/3.22 (define @t336 () (tptp.c @t105 tptp.france)) % 2.99/3.22 (define @t337 () (not @t336)) % 2.99/3.22 (define @t338 () (not @t335)) % 2.99/3.22 (define @t339 () (forall @t109 (or @t338 @t336))) % 2.99/3.22 (define @t340 () (not (forall @t264 (or @t323 @t261)))) % 2.99/3.22 (define @t341 () (not (forall @t264 (or @t323 @t262)))) % 2.99/3.22 (define @t342 () (not (forall @t326 (or @t341 @t324)))) % 2.99/3.22 (define @t343 () (forall @t109 (or @t338 @t342 @t337 (not (forall @t326 (or @t341 @t340)))))) % 2.99/3.22 (define @t344 () (and @t343 @t339 (not (forall @t109 (or @t337 @t335))))) % 2.99/3.22 (define @t345 () (or @t344 @t229)) % 2.99/3.22 (define @t346 () (or @t344 @t228)) % 2.99/3.22 (define @t347 () (lambda @t57 @t346)) % 2.99/3.22 (define @t348 () (_ @t347 @t23)) % 2.99/3.22 (define @t349 () (forall @t57 @t348)) % 2.99/3.22 (define @t350 () (or @t344 @t158)) % 2.99/3.22 (define @t351 () (or @t158 @t344)) % 2.99/3.22 (define @t352 () (lambda @t14 @t344)) % 2.99/3.22 (define @t353 () (_ @t352 @t59)) % 2.99/3.22 (define @t354 () (or @t158 @t353)) % 2.99/3.22 (define @t355 () (forall @t65 @t354)) % 2.99/3.22 (define @t356 () (lambda @t57 @t355)) % 2.99/3.22 (define @t357 () (not @t303)) % 2.99/3.22 (define @t358 () (not (forall @t264 (or @t323 @t285)))) % 2.99/3.22 (define @t359 () (forall @t326 (or @t341 @t358))) % 2.99/3.22 (define @t360 () (not @t359)) % 2.99/3.22 (define @t361 () (lambda @t243 (and (forall @t109 (or @t338 @t342 @t357 @t360)) (forall @t109 (or @t338 @t303)) (not (forall @t109 (or @t357 @t335)))))) % 2.99/3.22 (define @t362 () (forall @t109 (or @t357 @t304))) % 2.99/3.22 (define @t363 () (not @t362)) % 2.99/3.22 (define @t364 () (not (forall @t264 (or @t323 @t289)))) % 2.99/3.22 (define @t365 () (forall @t326 (or @t341 @t364))) % 2.99/3.22 (define @t366 () (not @t365)) % 2.99/3.22 (define @t367 () (forall @t109 (or @t305 @t366 @t357 @t360))) % 2.99/3.22 (define @t368 () (and @t367 @t306 @t363)) % 2.99/3.22 (define @t369 () (_ (lambda @t6 @t368) tptp.paris)) % 2.99/3.22 (define @t370 () (and @t306 @t363)) % 2.99/3.22 (define @t371 () (not @t107)) % 2.99/3.22 (define @t372 () (or @t311 @t366 @t371 @t360)) % 2.99/3.22 (define @t373 () (and @t107 @t359)) % 2.99/3.22 (define @t374 () (and @t108 @t365 @t107 @t359)) % 2.99/3.22 (define @t375 () (forall @t109 (not @t374))) % 2.99/3.22 (define @t376 () (not @t375)) % 2.99/3.22 (define @t377 () (and @t108 @t365)) % 2.99/3.22 (define @t378 () (lambda @t243 @t373)) % 2.99/3.22 (define @t379 () (_ @t293 @t105)) % 2.99/3.22 (define @t380 () (and (_ @t379 @t1) (_ @t379 @t3))) % 2.99/3.22 (define @t381 () (exists @t109 @t380)) % 2.99/3.22 (define @t382 () (not @t381)) % 2.99/3.22 (define @t383 () (lambda @t243 @t370)) % 2.99/3.22 (define @t384 () (_ (lambda @t6 @t370) @t1)) % 2.99/3.22 (define @t385 () (_ @t384 @t3)) % 2.99/3.22 (define @t386 () (@var "BOUND_VARIABLE_8289" tptp.reg)) % 2.99/3.22 (define @t387 () (tptp.c @t105 @t386)) % 2.99/3.22 (define @t388 () (lambda (@list @t386) (forall @t109 (or @t357 @t387)))) % 2.99/3.22 (define @t389 () (not (_ (_ @t308 @t3) @t1))) % 2.99/3.22 (define @t390 () (lambda @t243 @t306)) % 2.99/3.22 (define @t391 () (_ @t308 @t1)) % 2.99/3.22 (define @t392 () (not @t344)) % 2.99/3.22 (define @t393 () (@list @t344)) % 2.99/3.22 (define @t394 () (not @t218)) % 2.99/3.22 (define @t395 () (not @t222)) % 2.99/3.22 (define @t396 () (tptp.c @t3 @t1)) % 2.99/3.22 (define @t397 () (tptp.c @t1 @t3)) % 2.99/3.22 (define @t398 () (or @t103 @t4)) % 2.99/3.22 (define @t399 () (tptp.c tptp.paris tptp.spain)) % 2.99/3.22 (define @t400 () (not @t399)) % 2.99/3.22 (define @t401 () (or @t400 @t218)) % 2.99/3.22 (define @t402 () (tptp.c tptp.paris tptp.catalunya)) % 2.99/3.22 (define @t403 () (or @t395 @t402)) % 2.99/3.22 (define @t404 () (tptp.c @t105 tptp.catalunya)) % 2.99/3.22 (define @t405 () (tptp.c @t105 tptp.spain)) % 2.99/3.22 (define @t406 () (not @t405)) % 2.99/3.22 (define @t407 () (not @t404)) % 2.99/3.22 (define @t408 () (forall @t109 (or @t407 @t405))) % 2.99/3.22 (define @t409 () (not (forall @t326 (or @t341 (not (forall @t264 (or @t323 (tptp.c @t260 tptp.catalunya)))))))) % 2.99/3.22 (define @t410 () (and (not (forall @t109 (or @t407 @t409 @t406 (not (forall @t326 (or @t341 @t325)))))) @t408 (not (forall @t109 (or @t406 @t404))))) % 2.99/3.22 (define @t411 () (or @t410 @t229)) % 2.99/3.22 (define @t412 () (or @t410 @t228)) % 2.99/3.22 (define @t413 () (lambda @t57 @t412)) % 2.99/3.22 (define @t414 () (_ @t413 @t23)) % 2.99/3.22 (define @t415 () (forall @t57 @t414)) % 2.99/3.22 (define @t416 () (or @t410 @t158)) % 2.99/3.22 (define @t417 () (or @t158 @t410)) % 2.99/3.22 (define @t418 () (lambda @t14 @t410)) % 2.99/3.22 (define @t419 () (_ @t418 @t59)) % 2.99/3.22 (define @t420 () (or @t158 @t419)) % 2.99/3.22 (define @t421 () (forall @t65 @t420)) % 2.99/3.22 (define @t422 () (lambda @t57 @t421)) % 2.99/3.22 (define @t423 () (lambda @t243 (and (not (forall @t109 (or @t407 @t409 @t357 @t360))) (forall @t109 (or @t407 @t303)) (not (forall @t109 (or @t357 @t404)))))) % 2.99/3.22 (define @t424 () (not @t367)) % 2.99/3.22 (define @t425 () (and @t424 @t306 @t363)) % 2.99/3.22 (define @t426 () (_ (lambda @t6 @t425) tptp.catalunya)) % 2.99/3.22 (define @t427 () (not @t402)) % 2.99/3.22 (define @t428 () (or @t427 @t399)) % 2.99/3.22 (define @t429 () (forall @t326 (or @t325 @t340))) % 2.99/3.22 (define @t430 () (not @t429)) % 2.99/3.22 (define @t431 () (not @t268)) % 2.99/3.22 (define @t432 () (not @t327)) % 2.99/3.22 (define @t433 () (or @t394 @t432 @t431 @t430)) % 2.99/3.22 (define @t434 () (forall @t264 (or @t329 @t322))) % 2.99/3.22 (define @t435 () (not @t434)) % 2.99/3.22 (define @t436 () (or @t333 @t435)) % 2.99/3.22 (define @t437 () (not @t334)) % 2.99/3.22 (define @t438 () (@quantifiers_skolemize @t330 0)) % 2.99/3.22 (define @t439 () (@list @t438)) % 2.99/3.22 (define @t440 () (tptp.c @t438 tptp.paris)) % 2.99/3.22 (define @t441 () (tptp.c @t438 @t328)) % 2.99/3.22 (define @t442 () (not @t441)) % 2.99/3.22 (define @t443 () (or @t442 @t440)) % 2.99/3.22 (define @t444 () (tptp.c @t438 tptp.france)) % 2.99/3.22 (define @t445 () (or @t442 @t444)) % 2.99/3.22 (define @t446 () (not @t445)) % 2.99/3.22 (define @t447 () (not @t440)) % 2.99/3.22 (define @t448 () (or @t447 @t444)) % 2.99/3.22 (define @t449 () (not @t436)) % 2.99/3.22 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 2.99/3.22 (assume @p2 (forall (@list @t1) (_ @t2 @t1))) % 2.99/3.22 (assume @p3 @t7) % 2.99/3.22 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop @t13))) % 2.99/3.22 (assume @p5 (_ tptp.mvalid (_ @t10 @t15))) % 2.99/3.22 (assume @p6 (_ tptp.mvalid (_ @t11 @t16))) % 2.99/3.22 (assume @p7 (_ tptp.mvalid (_ @t10 @t17))) % 2.99/3.22 (assume @p8 @t20) % 2.99/3.22 (assume @p9 true) % 2.99/3.22 (step @p10 (= tptp.meq_ind @t24) :rule refl :args (@t24)) % 2.99/3.22 (step @p11 (= tptp.meq_prop @t27) :rule refl :args (@t27)) % 2.99/3.22 (step @p12 (= tptp.mnot @t31) :rule refl :args (@t31)) % 2.99/3.22 (step @p13 (= tptp.mor @t34) :rule refl :args (@t34)) % 2.99/3.22 (step @p14 (= tptp.mand @t39) :rule refl :args (@t39)) % 2.99/3.22 (step @p15 (= tptp.mimplies @t40) :rule refl :args (@t40)) % 2.99/3.22 (step @p16 (= tptp.mimplied @t41) :rule refl :args (@t41)) % 2.99/3.22 (step @p17 (= tptp.mequiv @t42) :rule refl :args (@t42)) % 2.99/3.22 (step @p18 (= tptp.mxor @t43) :rule refl :args (@t43)) % 2.99/3.22 (step @p19 (= tptp.mforall_ind @t46) :rule refl :args (@t46)) % 2.99/3.22 (step @p20 (= tptp.mforall_prop @t54) :rule refl :args (@t54)) % 2.99/3.22 (step @p21 (= tptp.mexists_ind @t55) :rule refl :args (@t55)) % 2.99/3.22 (step @p22 (= tptp.mexists_prop @t56) :rule refl :args (@t56)) % 2.99/3.22 (step @p23 (= tptp.mtrue @t58) :rule refl :args (@t58)) % 2.99/3.22 (step @p24 (= tptp.mbox @t68) :rule refl :args (@t68)) % 2.99/3.22 (step @p25 (= tptp.mdia @t69) :rule refl :args (@t69)) % 2.99/3.22 (step @p26 (= tptp.mreflexive @t74) :rule refl :args (@t74)) % 2.99/3.22 (step @p27 (= tptp.msymmetric @t78) :rule refl :args (@t78)) % 2.99/3.22 (step @p28 (= tptp.mserial @t80) :rule refl :args (@t80)) % 2.99/3.22 (step @p29 (= tptp.mtransitive @t85) :rule refl :args (@t85)) % 2.99/3.22 (step @p30 (= tptp.meuclidean @t87) :rule refl :args (@t87)) % 2.99/3.22 (step @p31 (= tptp.mpartially_functional @t89) :rule refl :args (@t89)) % 2.99/3.22 (step @p32 (= tptp.mfunctional @t91) :rule refl :args (@t91)) % 2.99/3.22 (step @p33 (= tptp.mweakly_dense @t94) :rule refl :args (@t94)) % 2.99/3.22 (step @p34 (= tptp.mweakly_connected @t95) :rule refl :args (@t95)) % 2.99/3.22 (step @p35 (= tptp.mweakly_directed @t96) :rule refl :args (@t96)) % 2.99/3.22 (step @p36 (= tptp.mvalid @t99) :rule refl :args (@t99)) % 2.99/3.22 (step @p37 (= tptp.minvalid @t100) :rule refl :args (@t100)) % 2.99/3.22 (step @p38 (= tptp.msatisfiable @t101) :rule refl :args (@t101)) % 2.99/3.22 (step @p39 (= tptp.mcountersatisfiable @t102) :rule refl :args (@t102)) % 2.99/3.22 (step @p40 (= tptp.dc @t104) :rule refl :args (@t104)) % 2.99/3.22 (step @p41 (= tptp.p @t111) :rule refl :args (@t111)) % 2.99/3.22 (step @p42 (= tptp.eq @t114) :rule refl :args (@t114)) % 2.99/3.22 (step @p43 (= tptp.o @t118) :rule refl :args (@t118)) % 2.99/3.22 (step @p44 (= tptp.po @t121) :rule refl :args (@t121)) % 2.99/3.22 (step @p45 (= tptp.ec @t124) :rule refl :args (@t124)) % 2.99/3.22 (step @p46 (= tptp.pp @t126) :rule refl :args (@t126)) % 2.99/3.22 (step @p47 (= tptp.tpp @t132) :rule refl :args (@t132)) % 2.99/3.22 (step @p48 (= tptp.ntpp @t135) :rule refl :args (@t135)) % 2.99/3.22 (step @p49 :rule quant-merge-prenex :args ((= (forall @t57 @t145) @t143))) % 2.99/3.22 (step @p50 :rule beta-reduce :args ((= @t147 @t145))) % 2.99/3.22 (step @p51 :rule cong :premises (@p50) :args (@t148)) % 2.99/3.22 (step @p52 :rule trans :premises (@p51 @p49)) % 2.99/3.22 (step @p53 :rule beta-reduce :args ((= (_ @t150 @t146) @t148))) % 2.99/3.22 (step @p54 :rule trans :premises (@p53 @p52)) % 2.99/3.22 (step @p55 :rule aci_norm :args ((= @t152 @t142))) % 2.99/3.22 (step @p56 :rule cong :premises (@p55) :args (@t153)) % 2.99/3.22 (step @p57 :rule quant-merge-prenex :args ((= (forall @t51 @t155) @t153))) % 2.99/3.22 (step @p58 :rule alpha_equiv :args (@t156 (@list @t136) (@list @t59))) % 2.99/3.22 (step @p59 :rule refl :args (@t141)) % 2.99/3.22 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t157)) % 2.99/3.22 (step @p61 :rule quant-miniscope-or :args ((= @t155 @t157))) % 2.99/3.22 (step @p62 :rule trans :premises (@p61 @p60)) % 2.99/3.22 (step @p63 :rule symm :premises (@p62)) % 2.99/3.22 (step @p64 :rule cong :premises (@p63) :args ((forall @t51 @t159))) % 2.99/3.22 (step @p65 :rule trans :premises (@p64 @p57)) % 2.99/3.22 (step @p66 :rule trans :premises (@p65 @p56)) % 2.99/3.22 (step @p67 :rule beta-reduce :args ((= @t166 @t159))) % 2.99/3.22 (step @p68 :rule cong :premises (@p67) :args (@t167)) % 2.99/3.22 (step @p69 :rule trans :premises (@p68 @p66)) % 2.99/3.22 (step @p70 :rule cong :premises (@p69) :args (@t168)) % 2.99/3.22 (step @p71 :rule beta-reduce :args ((= (_ @t170 @t165) @t168))) % 2.99/3.22 (step @p72 :rule trans :premises (@p71 @p70)) % 2.99/3.22 (step @p73 :rule beta-reduce :args ((= (_ (lambda @t171 @t164) @t8) @t164))) % 2.99/3.22 (step @p74 :rule refl :args (@t8)) % 2.99/3.22 (step @p75 :rule beta-reduce :args ((= @t174 @t161))) % 2.99/3.22 (step @p76 :rule refl :args (@t163)) % 2.99/3.22 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t175)) % 2.99/3.22 (step @p78 :rule cong :premises (@p77) :args (@t176)) % 2.99/3.22 (step @p79 :rule beta-reduce :args ((= (_ (lambda @t178 (or @t163 @t177)) @t173) @t176))) % 2.99/3.22 (step @p80 :rule trans :premises (@p79 @p78)) % 2.99/3.22 (step @p81 :rule beta-reduce :args ((= (_ @t179 @t9) @t173))) % 2.99/3.22 (step @p82 :rule refl :args (@t9)) % 2.99/3.22 (step @p83 :rule beta-reduce :args ((= @t182 @t179))) % 2.99/3.22 (step @p84 :rule ho_cong :premises (@p83 @p82)) % 2.99/3.22 (step @p85 :rule trans :premises (@p84 @p81)) % 2.99/3.22 (step @p86 :rule refl :args (@t177)) % 2.99/3.22 (step @p87 :rule beta-reduce :args ((= @t185 @t162))) % 2.99/3.22 (step @p88 :rule cong :premises (@p87) :args (@t186)) % 2.99/3.22 (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t187)) % 2.99/3.22 (step @p90 :rule cong :premises (@p89) :args (@t188)) % 2.99/3.22 (step @p91 :rule beta-reduce :args ((= (_ @t190 @t184) @t188))) % 2.99/3.22 (step @p92 :rule trans :premises (@p91 @p90)) % 2.99/3.22 (step @p93 :rule beta-reduce :args ((= (_ @t191 @t9) @t184))) % 2.99/3.22 (step @p94 :rule beta-reduce :args ((= @t192 @t191))) % 2.99/3.22 (step @p95 :rule ho_cong :premises (@p94 @p82)) % 2.99/3.22 (step @p96 :rule trans :premises (@p95 @p93)) % 2.99/3.22 (step @p97 :rule refl :args (@t190)) % 2.99/3.22 (step @p98 :rule ho_cong :premises (@p97 @p96)) % 2.99/3.22 (step @p99 :rule trans :premises (@p98 @p92)) % 2.99/3.22 (step @p100 :rule ho_cong :premises (@p99 @p85)) % 2.99/3.22 (step @p101 :rule trans :premises (@p100 @p80)) % 2.99/3.22 (step @p102 :rule ho_cong :premises (@p101 @p74)) % 2.99/3.22 (step @p103 :rule trans :premises (@p102 @p73)) % 2.99/3.22 (step @p104 :rule cong :premises (@p103) :args ((lambda @t12 (_ (_ (_ @t190 (_ @t192 @t9)) (_ @t182 @t9)) @t8)))) % 2.99/3.22 (step @p105 :rule refl :args (@t170)) % 2.99/3.22 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 2.99/3.22 (step @p107 :rule trans :premises (@p106 @p72)) % 2.99/3.22 (step @p108 :rule refl :args (@t150)) % 2.99/3.22 (step @p109 :rule ho_cong :premises (@p108 @p107)) % 2.99/3.22 (step @p110 :rule trans :premises (@p109 @p54)) % 2.99/3.22 (step @p111 :rule refl :args (tptp.a)) % 2.99/3.22 (step @p112 :rule refl :args (@t160)) % 2.99/3.22 (step @p113 :rule refl :args (@t60)) % 2.99/3.22 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t60 @t160))) % 2.99/3.22 (step @p115 :rule symm :premises (@p114)) % 2.99/3.22 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 2.99/3.22 (step @p117 :rule refl :args (@t180)) % 2.99/3.22 (step @p118 :rule refl :args (@t62)) % 2.99/3.22 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t62 @t180))) % 2.99/3.22 (step @p120 :rule symm :premises (@p119)) % 2.99/3.22 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 2.99/3.22 (step @p122 :rule cong :premises (@p121) :args (@t63)) % 2.99/3.22 (step @p123 :rule nary_cong :premises (@p122 @p116) :args (@t64)) % 2.99/3.22 (step @p124 :rule cong :premises (@p123) :args (@t66)) % 2.99/3.22 (step @p125 :rule cong :premises (@p124) :args (@t68)) % 2.99/3.22 (step @p126 :rule trans :premises (@p24 @p125)) % 2.99/3.22 (step @p127 :rule ho_cong :premises (@p126 @p111)) % 2.99/3.22 (step @p128 :rule ho_cong :premises (@p127 @p82)) % 2.99/3.22 (step @p129 :rule refl :args (tptp.fool)) % 2.99/3.22 (step @p130 :rule ho_cong :premises (@p126 @p129)) % 2.99/3.22 (step @p131 :rule ho_cong :premises (@p130 @p82)) % 2.99/3.22 (step @p132 :rule beta-reduce :args ((= (_ @t194 @t8) @t189))) % 2.99/3.22 (step @p133 :rule beta-reduce :args ((= (_ (lambda @t195 @t193) @t32) @t194))) % 2.99/3.22 (step @p134 :rule refl :args (@t32)) % 2.99/3.22 (step @p135 :rule refl :args (@t33)) % 2.99/3.22 (step @p136 :rule beta-reduce :args ((= @t197 @t29))) % 2.99/3.22 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t198)) % 2.99/3.22 (step @p138 :rule cong :premises (@p137) :args (@t199)) % 2.99/3.22 (step @p139 :rule beta-reduce :args ((= (_ @t34 @t196) @t199))) % 2.99/3.22 (step @p140 :rule trans :premises (@p139 @p138)) % 2.99/3.22 (step @p141 :rule beta-reduce :args ((= (_ @t31 @t9) @t196))) % 2.99/3.22 (step @p142 :rule refl :args (@t34)) % 2.99/3.22 (step @p143 :rule ho_cong :premises (@p142 @p141)) % 2.99/3.22 (step @p144 :rule trans :premises (@p143 @p140)) % 2.99/3.22 (step @p145 :rule ho_cong :premises (@p144 @p134)) % 2.99/3.22 (step @p146 :rule trans :premises (@p145 @p133)) % 2.99/3.22 (step @p147 :rule ho_cong :premises (@p146 @p74)) % 2.99/3.22 (step @p148 :rule trans :premises (@p147 @p132)) % 2.99/3.22 (step @p149 :rule ho_cong :premises (@p12 @p82)) % 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:premises (@p613 @p255)) % 2.99/3.22 (step @p615 :rule trans :premises (@p614 @p612)) % 2.99/3.22 (step @p616 :rule cong :premises (@p615) :args ((lambda @t14 (_ @t426 tptp.spain)))) % 2.99/3.22 (step @p617 :rule ho_cong :premises (@p83 @p616)) % 2.99/3.22 (step @p618 :rule trans :premises (@p617 @p611)) % 2.99/3.22 (step @p619 :rule ho_cong :premises (@p108 @p618)) % 2.99/3.22 (step @p620 :rule trans :premises (@p619 @p600)) % 2.99/3.22 (step @p621 :rule aci_norm :args ((= (and @t370 @t424) @t425))) % 2.99/3.22 (step @p622 :rule nary_cong :premises (@p512 @p506) :args ((and @t385 @t381))) % 2.99/3.22 (step @p623 :rule trans :premises (@p622 @p621)) % 2.99/3.22 (step @p624 :rule nary_cong :premises (@p545 @p519) :args (@t131)) % 2.99/3.22 (step @p625 :rule trans :premises (@p624 @p623)) % 2.99/3.22 (step @p626 :rule cong :premises (@p625) :args (@t132)) % 2.99/3.22 (step @p627 :rule trans :premises (@p47 @p626)) % 2.99/3.22 (step @p628 :rule ho_cong :premises (@p627 @p258)) % 2.99/3.22 (step @p629 :rule ho_cong :premises (@p628 @p255)) % 2.99/3.22 (step @p630 :rule cong :premises (@p629) :args (@t15)) % 2.99/3.22 (step @p631 :rule ho_cong :premises (@p127 @p630)) % 2.99/3.22 (step @p632 :rule ho_cong :premises (@p176 @p631)) % 2.99/3.22 (step @p633 :rule trans :premises (@p632 @p620)) % 2.99/3.22 (step @p634 :rule eq_resolve :premises (@p5 @p633)) % 2.99/3.22 (step @p635 :rule chain_m_resolution :premises (@p634 @p269) :args (@t410 @t252 @t253)) % 2.99/3.22 (step @p636 :rule cnf_and_pos :args (@t410 1)) % 2.99/3.22 (step @p637 :rule reordering :premises (@p636) :args ((or @t408 (not @t410)))) % 2.99/3.22 (step @p638 :rule chain_m_resolution :premises (@p637 @p635) :args (@t408 @t217 (@list @t410))) % 2.99/3.22 (step @p639 :rule instantiate :premises (@p638) :args ((@list tptp.paris))) % 2.99/3.22 (step @p640 :rule cnf_or_pos :args (@t428)) % 2.99/3.22 (step @p641 :rule reordering :premises (@p640) :args ((or @t427 @t399 (not @t428)))) % 2.99/3.22 (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p591 @p589 @p588 @p586 @p569) :args (@t218 (@list false false false true false false) (@list @t428 @t402 @t403 @t399 @t401 @t222))) % 2.99/3.22 (step @p643 :rule cnf_or_pos :args (@t433)) % 2.99/3.22 (step @p644 :rule reordering :premises (@p643) :args ((or @t394 @t431 @t432 @t430 (not @t433)))) % 2.99/3.22 (step @p645 :rule bool-double-not-elim :args (@t332)) % 2.99/3.22 (step @p646 :rule refl :args (@t436)) % 2.99/3.22 (step @p647 :rule nary_cong :premises (@p646 @p645) :args ((or @t436 (not @t333)))) % 2.99/3.22 (step @p648 :rule cnf_or_neg :args (@t436 0)) % 2.99/3.22 (step @p649 :rule eq_resolve :premises (@p648 @p647)) % 2.99/3.22 (step @p650 :rule reordering :premises (@p649) :args ((or @t332 @t436))) % 2.99/3.22 (step @p651 :rule bool-double-not-elim :args (@t434)) % 2.99/3.22 (step @p652 :rule nary_cong :premises (@p646 @p651) :args ((or @t436 (not @t435)))) % 2.99/3.22 (step @p653 :rule cnf_or_neg :args (@t436 1)) % 2.99/3.22 (step @p654 :rule eq_resolve :premises (@p653 @p652)) % 2.99/3.22 (step @p655 :rule reordering :premises (@p654) :args ((or @t434 @t436))) % 2.99/3.22 (step @p656 :rule cnf_or_pos :args (@t334)) % 2.99/3.22 (step @p657 :rule reordering :premises (@p656) :args ((or @t333 @t331 @t437))) % 2.99/3.22 (assume-push @p709 @t434) % 2.99/3.22 (step @p659 :rule instantiate :premises (@p709) :args (@t439)) % 2.99/3.22 (step-pop @p710 :rule scope :premises (@p659)) % 2.99/3.22 (step @p660 :rule process_scope :premises (@p710) :args (@t443)) % 2.99/3.22 (step @p662 :rule implies_elim :premises (@p660)) % 2.99/3.22 (step @p663 :rule refl :args (@t446)) % 2.99/3.22 (step @p664 :rule bool-double-not-elim :args (@t330)) % 2.99/3.22 (step @p665 :rule nary_cong :premises (@p664 @p663) :args ((or (not @t331) @t446))) % 2.99/3.22 (assume-push @p711 @t331) % 2.99/3.22 (step @p667 :rule skolemize :premises (@p711)) % 2.99/3.22 (step-pop @p712 :rule scope :premises (@p667)) % 2.99/3.22 (step @p668 :rule process_scope :premises (@p712) :args (@t446)) % 2.99/3.22 (step @p670 :rule implies_elim :premises (@p668)) % 2.99/3.22 (step @p671 :rule eq_resolve :premises (@p670 @p665)) % 2.99/3.22 (step @p672 :rule bool-double-not-elim :args (@t441)) % 2.99/3.22 (step @p673 :rule refl :args (@t445)) % 2.99/3.22 (step @p674 :rule nary_cong :premises (@p673 @p672) :args ((or @t445 (not @t442)))) % 2.99/3.22 (step @p675 :rule cnf_or_neg :args (@t445 0)) % 2.99/3.22 (step @p676 :rule eq_resolve :premises (@p675 @p674)) % 2.99/3.22 (step @p677 :rule reordering :premises (@p676) :args ((or @t441 @t445))) % 2.99/3.22 (step @p678 :rule cnf_or_neg :args (@t445 1)) % 2.99/3.22 (step @p679 :rule cnf_or_pos :args (@t443)) % 2.99/3.22 (step @p680 :rule reordering :premises (@p679) :args ((or @t442 @t440 (not @t443)))) % 2.99/3.22 (step @p681 :rule cnf_and_pos :args (@t344 1)) % 2.99/3.22 (step @p682 :rule reordering :premises (@p681) :args ((or @t339 @t392))) % 2.99/3.22 (step @p683 :rule chain_m_resolution :premises (@p682 @p558) :args (@t339 @t217 @t393)) % 2.99/3.22 (step @p684 :rule instantiate :premises (@p683) :args (@t439)) % 2.99/3.22 (step @p685 :rule cnf_or_pos :args (@t448)) % 2.99/3.22 (step @p686 :rule reordering :premises (@p685) :args ((or @t444 @t447 (not @t448)))) % 2.99/3.22 (step @p687 :rule chain_m_resolution :premises (@p686 @p684 @p680 @p678 @p677 @p671 @p662 @p657 @p655 @p650) :args ((or @t436 @t437) (@list false false true false true false true false false) (@list @t448 @t440 @t444 @t441 @t445 @t443 @t330 @t434 @t332))) % 2.99/3.22 (step @p688 :rule refl :args (@t449)) % 2.99/3.22 (step @p689 :rule bool-double-not-elim :args (@t327)) % 2.99/3.22 (step @p690 :rule nary_cong :premises (@p689 @p688) :args ((or (not @t432) @t449))) % 2.99/3.22 (assume-push @p713 @t432) % 2.99/3.22 (step @p692 :rule skolemize :premises (@p713)) % 2.99/3.22 (step-pop @p714 :rule scope :premises (@p692)) % 2.99/3.22 (step @p693 :rule process_scope :premises (@p714) :args (@t449)) % 2.99/3.22 (step @p695 :rule implies_elim :premises (@p693)) % 2.99/3.22 (step @p696 :rule eq_resolve :premises (@p695 @p690)) % 2.99/3.22 (step @p697 :rule chain_m_resolution :premises (@p696 @p687 @p644 @p642 @p562 @p437 @p432) :args ((or @t431 (not @t267)) (@list false true false false false false) (@list @t436 @t327 @t218 @t433 @t334 @t429))) % 2.99/3.22 (step @p698 false :rule chain_m_resolution :premises (@p697 @p428 @p425) :args (false @t254 (@list @t267 @t268))) % 2.99/3.22 ) % 2.99/3.22 % SZS output end Proof % 2.99/3.22 % cvc5 exiting %------------------------------------------------------------------------------