%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN052^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:07:54 AM UTC 2026 % Result : Theorem 151.33s 151.69s % Output : Proof 151.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN052^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:19:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 151.33/151.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.33/151.69 --- 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... % 151.33/151.69 --- 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... % 151.33/151.69 --- Run --ho-elim --full-saturate-quant at 18s... % 151.33/151.69 % SZS status Theorem % 151.33/151.69 % SZS output start Proof % 151.33/151.69 ( % 151.33/151.69 (declare-sort $$unsorted 0) % 151.33/151.69 (declare-sort tptp.mu 0) % 151.33/151.69 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 151.33/151.69 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 151.33/151.69 (declare-const tptp.big_f (-> tptp.mu $$unsorted Bool)) % 151.33/151.69 (declare-const tptp.p (-> $$unsorted Bool)) % 151.33/151.69 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 151.33/151.69 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 151.33/151.69 (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)))))) % 151.33/151.69 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 151.33/151.69 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 151.33/151.69 (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))))))) % 151.33/151.69 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 151.33/151.69 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 151.33/151.69 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 151.33/151.69 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 151.33/151.69 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 151.33/151.69 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 151.33/151.69 (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)))))) % 151.33/151.69 (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) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.33/151.69 (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)))))) % 151.33/151.69 (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)))))) % 151.33/151.69 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 151.33/151.69 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.33/151.69 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.33/151.69 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 151.33/151.69 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 151.33/151.69 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 151.33/151.69 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 151.33/151.69 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 151.33/151.69 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 151.33/151.69 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 151.33/151.69 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 151.33/151.69 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 151.33/151.69 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 151.33/151.69 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 151.33/151.69 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 151.33/151.69 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 151.33/151.69 (define @t1 () (@var "V" $$unsorted)) % 151.33/151.69 (define @t2 () (@var "X" tptp.mu)) % 151.33/151.69 (define @t3 () (_ tptp.exists_in_world @t2)) % 151.33/151.69 (define @t4 () (_ @t3 @t1)) % 151.33/151.69 (define @t5 () (@list @t2)) % 151.33/151.69 (define @t6 () (exists @t5 @t4)) % 151.33/151.69 (define @t7 () (@list @t1)) % 151.33/151.69 (define @t8 () (forall @t7 @t6)) % 151.33/151.69 (define @t9 () (@var "W" $$unsorted)) % 151.33/151.69 (define @t10 () (_ @t3 @t9)) % 151.33/151.69 (define @t11 () (_ (_ tptp.rel_s4 @t1) @t9)) % 151.33/151.69 (define @t12 () (and @t4 @t11)) % 151.33/151.69 (define @t13 () (@list @t2 @t1 @t9)) % 151.33/151.69 (define @t14 () (forall @t13 (=> @t12 @t10))) % 151.33/151.69 (define @t15 () (_ tptp.mbox_s4 tptp.p)) % 151.33/151.69 (define @t16 () (@var "__flatten_var_0" $$unsorted)) % 151.33/151.69 (define @t17 () (@var "X1" tptp.mu)) % 151.33/151.69 (define @t18 () (_ tptp.big_f @t17)) % 151.33/151.69 (define @t19 () (@list @t17 @t16)) % 151.33/151.69 (define @t20 () (lambda @t19 (_ (_ tptp.mbox_s4 @t18) @t16))) % 151.33/151.69 (define @t21 () (_ tptp.mbox_s4 (_ tptp.mforall_ind @t20))) % 151.33/151.69 (define @t22 () (_ tptp.mimplies @t15)) % 151.33/151.69 (define @t23 () (_ tptp.big_f @t2)) % 151.33/151.69 (define @t24 () (_ tptp.mbox_s4 @t23)) % 151.33/151.69 (define @t25 () (@list @t2 @t16)) % 151.33/151.69 (define @t26 () (lambda @t25 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t22 @t24))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t24) @t15))) @t16))) % 151.33/151.69 (define @t27 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ tptp.mforall_ind @t26))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t22 @t21))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t21) @t15)))))))) % 151.33/151.69 (define @t28 () (@var "Y" (-> $$unsorted Bool))) % 151.33/151.69 (define @t29 () (@var "X" (-> $$unsorted Bool))) % 151.33/151.69 (define @t30 () (lambda (@list @t29 @t28 @t9) (= (_ @t29 @t9) (_ @t28 @t9)))) % 151.33/151.69 (define @t31 () (@var "Phi" (-> $$unsorted Bool))) % 151.33/151.69 (define @t32 () (_ @t31 @t9)) % 151.33/151.69 (define @t33 () (not @t32)) % 151.33/151.69 (define @t34 () (@list @t31 @t9)) % 151.33/151.69 (define @t35 () (lambda @t34 @t33)) % 151.33/151.69 (define @t36 () (@var "Psi" (-> $$unsorted Bool))) % 151.33/151.69 (define @t37 () (_ @t36 @t9)) % 151.33/151.69 (define @t38 () (lambda (@list @t31 @t36 @t9) (or @t32 @t37))) % 151.33/151.69 (define @t39 () (_ @t31 @t1)) % 151.33/151.69 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 151.33/151.69 (define @t41 () (lambda (@list @t40 @t31 @t9) (forall @t7 (or (not (_ (_ @t40 @t9) @t1)) @t39)))) % 151.33/151.69 (define @t42 () (@var "P" (-> $$unsorted Bool))) % 151.33/151.69 (define @t43 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 151.33/151.69 (define @t44 () (_ @t43 @t42)) % 151.33/151.69 (define @t45 () (lambda (@list @t43 @t9) (forall (@list @t42) (_ @t44 @t9)))) % 151.33/151.69 (define @t46 () (@list @t9)) % 151.33/151.69 (define @t47 () (lambda @t46 true)) % 151.33/151.69 (define @t48 () (_ tptp.mnot @t36)) % 151.33/151.69 (define @t49 () (_ tptp.mnot @t31)) % 151.33/151.69 (define @t50 () (_ tptp.mor @t49)) % 151.33/151.69 (define @t51 () (@list @t31 @t36 @t16)) % 151.33/151.69 (define @t52 () (lambda @t51 (_ (_ tptp.mnot (_ @t50 @t48)) @t16))) % 151.33/151.69 (define @t53 () (lambda @t51 (_ (_ @t50 @t36) @t16))) % 151.33/151.69 (define @t54 () (lambda @t51 (_ (_ (_ tptp.mor @t48) @t31) @t16))) % 151.33/151.69 (define @t55 () (lambda @t51 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t31) @t36)) (_ (_ tptp.mimplies @t36) @t31)) @t16))) % 151.33/151.69 (define @t56 () (lambda @t51 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t31) @t36)) @t16))) % 151.33/151.69 (define @t57 () (lambda (@list @t40 @t31 @t16) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t49)) @t16))) % 151.33/151.69 (define @t58 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 151.33/151.69 (define @t59 () (_ @t58 @t2)) % 151.33/151.69 (define @t60 () (_ @t59 @t9)) % 151.33/151.69 (define @t61 () (forall @t5 (=> @t10 @t60))) % 151.33/151.69 (define @t62 () (@list @t58 @t9)) % 151.33/151.69 (define @t63 () (lambda @t62 @t61)) % 151.33/151.69 (define @t64 () (lambda (@list @t58 @t16) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t25 (_ (_ tptp.mnot @t59) @t16)))) @t16))) % 151.33/151.69 (define @t65 () (lambda (@list @t43 @t16) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t42 @t16) (_ (_ tptp.mnot @t44) @t16)))) @t16))) % 151.33/151.69 (define @t66 () (@var "S" $$unsorted)) % 151.33/151.69 (define @t67 () (_ @t40 @t66)) % 151.33/151.69 (define @t68 () (_ @t67 @t66)) % 151.33/151.69 (define @t69 () (@list @t66)) % 151.33/151.69 (define @t70 () (forall @t69 @t68)) % 151.33/151.69 (define @t71 () (@list @t40)) % 151.33/151.69 (define @t72 () (lambda @t71 @t70)) % 151.33/151.69 (define @t73 () (@var "T" $$unsorted)) % 151.33/151.69 (define @t74 () (_ @t40 @t73)) % 151.33/151.69 (define @t75 () (_ @t67 @t73)) % 151.33/151.69 (define @t76 () (lambda @t71 (forall (@list @t66 @t73) (=> @t75 (_ @t74 @t66))))) % 151.33/151.69 (define @t77 () (@list @t73)) % 151.33/151.69 (define @t78 () (lambda @t71 (forall @t69 (exists @t77 @t75)))) % 151.33/151.69 (define @t79 () (@var "U" $$unsorted)) % 151.33/151.69 (define @t80 () (_ @t67 @t79)) % 151.33/151.69 (define @t81 () (_ @t74 @t79)) % 151.33/151.69 (define @t82 () (and @t75 @t81)) % 151.33/151.69 (define @t83 () (@list @t66 @t73 @t79)) % 151.33/151.69 (define @t84 () (forall @t83 (=> @t82 @t80))) % 151.33/151.69 (define @t85 () (lambda @t71 @t84)) % 151.33/151.69 (define @t86 () (and @t75 @t80)) % 151.33/151.69 (define @t87 () (lambda @t71 (forall @t83 (=> @t86 @t81)))) % 151.33/151.69 (define @t88 () (= @t73 @t79)) % 151.33/151.69 (define @t89 () (lambda @t71 (forall @t83 (=> @t86 @t88)))) % 151.33/151.69 (define @t90 () (@list @t79)) % 151.33/151.69 (define @t91 () (lambda @t71 (forall @t69 (exists @t77 (and @t75 (forall @t90 (=> @t80 @t88))))))) % 151.33/151.69 (define @t92 () (_ @t40 @t79)) % 151.33/151.69 (define @t93 () (_ @t92 @t73)) % 151.33/151.69 (define @t94 () (lambda @t71 (forall @t83 (=> @t75 (exists @t90 (and @t80 @t93)))))) % 151.33/151.69 (define @t95 () (lambda @t71 (forall @t83 (=> @t86 (or @t81 @t88 @t93))))) % 151.33/151.69 (define @t96 () (lambda @t71 (forall @t83 (=> @t86 (exists @t7 (and (_ @t74 @t1) (_ @t92 @t1))))))) % 151.33/151.69 (define @t97 () (forall @t46 @t32)) % 151.33/151.69 (define @t98 () (@list @t31)) % 151.33/151.69 (define @t99 () (lambda @t98 @t97)) % 151.33/151.69 (define @t100 () (lambda @t98 (exists @t46 @t32))) % 151.33/151.69 (define @t101 () (lambda @t98 (exists @t46 @t33))) % 151.33/151.69 (define @t102 () (lambda @t98 (forall @t46 @t33))) % 151.33/151.69 (define @t103 () (_ (_ tptp.rel_s4 @t9) @t1)) % 151.33/151.69 (define @t104 () (not @t103)) % 151.33/151.69 (define @t105 () (or @t104 @t39)) % 151.33/151.69 (define @t106 () (forall @t7 @t105)) % 151.33/151.69 (define @t107 () (lambda @t34 @t106)) % 151.33/151.69 (define @t108 () (lambda (@list @t31 @t16) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t49)) @t16))) % 151.33/151.69 (define @t109 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.33/151.69 (define @t110 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 151.33/151.69 (define @t111 () (_ @t110 @t109 @t66)) % 151.33/151.69 (define @t112 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 151.33/151.69 (define @t113 () (forall @t69 (tptp.rel_s4 @t66 @t66))) % 151.33/151.69 (define @t114 () (_ @t40 @t66 @t66)) % 151.33/151.69 (define @t115 () (@var "BOUND_VARIABLE_9129" $$unsorted)) % 151.33/151.69 (define @t116 () (@const 3 (@ho-elim-sort (-> $$unsorted Bool)))) % 151.33/151.69 (define @t117 () (@var "BOUND_VARIABLE_9127" $$unsorted)) % 151.33/151.69 (define @t118 () (_ @t110 @t109 @t117)) % 151.33/151.69 (define @t119 () (@var "BOUND_VARIABLE_8842" $$unsorted)) % 151.33/151.69 (define @t120 () (@var "BOUND_VARIABLE_8840" tptp.mu)) % 151.33/151.69 (define @t121 () (@const 4 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 151.33/151.69 (define @t122 () (@const 5 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 151.33/151.69 (define @t123 () (_ @t112 (_ @t122 @t121 @t120) @t119)) % 151.33/151.69 (define @t124 () (@var "BOUND_VARIABLE_8963" $$unsorted)) % 151.33/151.69 (define @t125 () (not (_ @t112 (_ @t110 @t109 @t124) @t119))) % 151.33/151.69 (define @t126 () (@const 6 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 151.33/151.69 (define @t127 () (not (_ @t112 (_ @t122 @t126 @t120) @t124))) % 151.33/151.69 (define @t128 () (@list @t124 @t120 @t119)) % 151.33/151.69 (define @t129 () (_ @t110 @t109 @t1)) % 151.33/151.69 (define @t130 () (@var "BOUND_VARIABLE_9110" $$unsorted)) % 151.33/151.69 (define @t131 () (@var "BOUND_VARIABLE_9108" tptp.mu)) % 151.33/151.69 (define @t132 () (@var "BOUND_VARIABLE_9106" $$unsorted)) % 151.33/151.69 (define @t133 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 151.33/151.69 (define @t134 () (_ @t110 @t109 @t133)) % 151.33/151.69 (define @t135 () (@var "BOUND_VARIABLE_8880" $$unsorted)) % 151.33/151.69 (define @t136 () (_ @t112 @t116 @t135)) % 151.33/151.69 (define @t137 () (@list @t135)) % 151.33/151.69 (define @t138 () (@var "BOUND_VARIABLE_8749" $$unsorted)) % 151.33/151.69 (define @t139 () (@var "BOUND_VARIABLE_8747" $$unsorted)) % 151.33/151.69 (define @t140 () (_ @t110 @t109 @t139)) % 151.33/151.69 (define @t141 () (@var "BOUND_VARIABLE_8624" $$unsorted)) % 151.33/151.69 (define @t142 () (@var "BOUND_VARIABLE_8741" tptp.mu)) % 151.33/151.69 (define @t143 () (_ @t122 @t121 @t142)) % 151.33/151.69 (define @t144 () (@list @t141)) % 151.33/151.69 (define @t145 () (@var "BOUND_VARIABLE_9060" $$unsorted)) % 151.33/151.69 (define @t146 () (_ @t110 @t109 @t145)) % 151.33/151.69 (define @t147 () (@var "BOUND_VARIABLE_8745" $$unsorted)) % 151.33/151.69 (define @t148 () (@var "BOUND_VARIABLE_8743" $$unsorted)) % 151.33/151.69 (define @t149 () (_ @t110 @t109 @t148)) % 151.33/151.69 (define @t150 () (@var "BOUND_VARIABLE_8549" $$unsorted)) % 151.33/151.69 (define @t151 () (_ @t112 @t116 @t150)) % 151.33/151.69 (define @t152 () (@list @t150)) % 151.33/151.69 (define @t153 () (and (or (not (_ @t112 @t146 @t148)) (not (forall @t152 (or (not (_ @t112 @t149 @t150)) @t151))) (not (_ @t112 @t149 @t147)) (_ @t112 @t143 @t147)) (or (not (_ @t112 @t146 @t139)) (not (forall @t144 (or (not (_ @t112 @t140 @t141)) (_ @t112 @t143 @t141)))) (not (_ @t112 @t140 @t138)) (_ @t112 @t116 @t138)))) % 151.33/151.69 (define @t154 () (not (_ @t112 (_ @t122 @t126 @t142) @t145))) % 151.33/151.69 (define @t155 () (@list @t145 @t142 @t148 @t147 @t139 @t138)) % 151.33/151.69 (define @t156 () (@list @t9 @t1 @t133 @t132 @t131 @t130 @t117 @t115)) % 151.33/151.69 (define @t157 () (forall @t156 (or (not (_ @t112 (_ @t110 @t109 @t9) @t1)) (not (forall @t155 (or (not (_ @t112 @t129 @t145)) @t154 @t153))) (and (or (not (_ @t112 @t129 @t133)) (not (forall @t137 (or (not (_ @t112 @t134 @t135)) @t136))) (not (_ @t112 @t134 @t132)) (not (_ @t112 (_ @t122 @t126 @t131) @t132)) (not (_ @t112 (_ @t110 @t109 @t132) @t130)) (_ @t112 (_ @t122 @t121 @t131) @t130)) (or (not (_ @t112 @t129 @t117)) (not (forall @t128 (or (not (_ @t112 @t118 @t124)) @t127 @t125 @t123))) (not (_ @t112 @t118 @t115)) (_ @t112 @t116 @t115)))))) % 151.33/151.69 (define @t158 () (@quantifiers_skolemize @t157 3)) % 151.33/151.69 (define @t159 () (@quantifiers_skolemize @t157 6)) % 151.33/151.69 (define @t160 () (@quantifiers_skolemize @t157 1)) % 151.33/151.69 (define @t161 () (_ @t110 @t109 @t160)) % 151.33/151.69 (define @t162 () (_ @t112 @t161 @t159)) % 151.33/151.69 (define @t163 () (@quantifiers_skolemize @t157 7)) % 151.33/151.69 (define @t164 () (_ @t112 @t116 @t163)) % 151.33/151.69 (define @t165 () (_ @t110 @t109 @t159)) % 151.33/151.69 (define @t166 () (_ @t112 @t165 @t163)) % 151.33/151.69 (define @t167 () (not @t166)) % 151.33/151.69 (define @t168 () (forall @t128 (or (not (_ @t112 @t165 @t124)) @t127 @t125 @t123))) % 151.33/151.69 (define @t169 () (not @t168)) % 151.33/151.69 (define @t170 () (not @t162)) % 151.33/151.69 (define @t171 () (or @t170 @t169 @t167 @t164)) % 151.33/151.69 (define @t172 () (_ @t122 @t126 @t2)) % 151.33/151.69 (define @t173 () (not (_ @t112 @t172 @t1))) % 151.33/151.69 (define @t174 () (tptp.exists_in_world @t2 @t1)) % 151.33/151.69 (define @t175 () (not @t174)) % 151.33/151.69 (define @t176 () (not @t4)) % 151.33/151.69 (define @t177 () (forall @t5 @t176)) % 151.33/151.69 (define @t178 () (not @t177)) % 151.33/151.69 (define @t179 () (@list @t160)) % 151.33/151.69 (define @t180 () (forall @t5 (not (_ @t112 @t172 @t160)))) % 151.33/151.69 (define @t181 () (@quantifiers_skolemize @t180 0)) % 151.33/151.69 (define @t182 () (_ @t122 @t126 @t181)) % 151.33/151.69 (define @t183 () (_ @t112 @t182 @t160)) % 151.33/151.69 (define @t184 () (not @t180)) % 151.33/151.69 (define @t185 () (not @t183)) % 151.33/151.69 (define @t186 () (not @t185)) % 151.33/151.69 (define @t187 () (@list true)) % 151.33/151.69 (define @t188 () (tptp.exists_in_world @t2 @t9)) % 151.33/151.69 (define @t189 () (tptp.rel_s4 @t1 @t9)) % 151.33/151.69 (define @t190 () (not @t11)) % 151.33/151.69 (define @t191 () (or @t176 @t190 @t10)) % 151.33/151.69 (define @t192 () (_ @t112 @t182 @t159)) % 151.33/151.69 (define @t193 () (or @t185 @t170 @t192)) % 151.33/151.69 (define @t194 () (tptp.big_f @t120 @t119)) % 151.33/151.69 (define @t195 () (not (tptp.rel_s4 @t124 @t119))) % 151.33/151.69 (define @t196 () (not (tptp.exists_in_world @t120 @t124))) % 151.33/151.69 (define @t197 () (or (not (tptp.rel_s4 @t1 @t117)) (not (forall @t128 (or (not (tptp.rel_s4 @t117 @t124)) @t196 @t195 @t194))) (not (tptp.rel_s4 @t117 @t115)) (tptp.p @t115))) % 151.33/151.69 (define @t198 () (tptp.p @t135)) % 151.33/151.69 (define @t199 () (or (not (tptp.rel_s4 @t1 @t133)) (not (forall @t137 (or (not (tptp.rel_s4 @t133 @t135)) @t198))) (not (tptp.rel_s4 @t133 @t132)) (not (tptp.exists_in_world @t131 @t132)) (not (tptp.rel_s4 @t132 @t130)) (tptp.big_f @t131 @t130))) % 151.33/151.69 (define @t200 () (and @t199 @t197)) % 151.33/151.69 (define @t201 () (tptp.p @t138)) % 151.33/151.69 (define @t202 () (not (tptp.rel_s4 @t139 @t138))) % 151.33/151.69 (define @t203 () (not (forall @t144 (or (not (tptp.rel_s4 @t139 @t141)) (tptp.big_f @t142 @t141))))) % 151.33/151.69 (define @t204 () (tptp.big_f @t142 @t147)) % 151.33/151.69 (define @t205 () (not (tptp.rel_s4 @t148 @t147))) % 151.33/151.69 (define @t206 () (tptp.p @t150)) % 151.33/151.69 (define @t207 () (not (forall @t152 (or (not (tptp.rel_s4 @t148 @t150)) @t206)))) % 151.33/151.69 (define @t208 () (and (or (not (tptp.rel_s4 @t145 @t148)) @t207 @t205 @t204) (or (not (tptp.rel_s4 @t145 @t139)) @t203 @t202 @t201))) % 151.33/151.69 (define @t209 () (not (tptp.exists_in_world @t142 @t145))) % 151.33/151.69 (define @t210 () (not (forall @t155 (or (not (tptp.rel_s4 @t1 @t145)) @t209 @t208)))) % 151.33/151.69 (define @t211 () (tptp.rel_s4 @t9 @t1)) % 151.33/151.69 (define @t212 () (not @t211)) % 151.33/151.69 (define @t213 () (or @t212 @t210 @t200)) % 151.33/151.69 (define @t214 () (forall @t156 @t213)) % 151.33/151.69 (define @t215 () (forall (@list @t1 @t133 @t132 @t131 @t130 @t117 @t115) @t213)) % 151.33/151.69 (define @t216 () (lambda @t46 @t215)) % 151.33/151.69 (define @t217 () (_ @t216 @t9)) % 151.33/151.69 (define @t218 () (forall @t46 @t217)) % 151.33/151.69 (define @t219 () (_ @t31 @t9)) % 151.33/151.69 (define @t220 () (lambda @t98 (forall @t46 @t219))) % 151.33/151.69 (define @t221 () (@list @t133 @t132 @t131 @t130 @t117 @t115)) % 151.33/151.69 (define @t222 () (forall @t221 @t213)) % 151.33/151.69 (define @t223 () (forall (@list @t117 @t115) @t197)) % 151.33/151.69 (define @t224 () (@var "BOUND_VARIABLE_8991" $$unsorted)) % 151.33/151.69 (define @t225 () (@var "BOUND_VARIABLE_9028" $$unsorted)) % 151.33/151.69 (define @t226 () (forall @t221 @t197)) % 151.33/151.69 (define @t227 () (forall (@list @t133 @t132 @t131 @t130) @t199)) % 151.33/151.69 (define @t228 () (@var "BOUND_VARIABLE_8909" $$unsorted)) % 151.33/151.69 (define @t229 () (@var "BOUND_VARIABLE_8907" tptp.mu)) % 151.33/151.69 (define @t230 () (@var "BOUND_VARIABLE_8905" $$unsorted)) % 151.33/151.69 (define @t231 () (@var "BOUND_VARIABLE_9043" $$unsorted)) % 151.33/151.69 (define @t232 () (forall @t221 @t199)) % 151.33/151.69 (define @t233 () (and @t232 @t226)) % 151.33/151.69 (define @t234 () (forall @t221 @t200)) % 151.33/151.69 (define @t235 () (or @t212 @t210 @t234)) % 151.33/151.69 (define @t236 () (tptp.p @t224)) % 151.33/151.69 (define @t237 () (not (tptp.rel_s4 @t225 @t224))) % 151.33/151.69 (define @t238 () (not (forall @t128 (or (not (tptp.rel_s4 @t225 @t124)) @t196 @t195 @t194)))) % 151.33/151.69 (define @t239 () (@list @t225 @t224)) % 151.33/151.69 (define @t240 () (forall @t239 (or (not (tptp.rel_s4 @t1 @t225)) @t238 @t237 @t236))) % 151.33/151.69 (define @t241 () (tptp.big_f @t229 @t228)) % 151.33/151.69 (define @t242 () (not (tptp.rel_s4 @t230 @t228))) % 151.33/151.69 (define @t243 () (not (tptp.exists_in_world @t229 @t230))) % 151.33/151.69 (define @t244 () (not (tptp.rel_s4 @t231 @t230))) % 151.33/151.69 (define @t245 () (not (forall @t137 (or (not (tptp.rel_s4 @t231 @t135)) @t198)))) % 151.33/151.69 (define @t246 () (@list @t231 @t230 @t229 @t228)) % 151.33/151.69 (define @t247 () (forall @t246 (or (not (tptp.rel_s4 @t1 @t231)) @t245 @t244 @t243 @t242 @t241))) % 151.33/151.69 (define @t248 () (not @t240)) % 151.33/151.69 (define @t249 () (not @t247)) % 151.33/151.69 (define @t250 () (not (or @t249 @t248))) % 151.33/151.69 (define @t251 () (or @t212 @t210 @t250)) % 151.33/151.69 (define @t252 () (or @t210 @t250)) % 151.33/151.69 (define @t253 () (@list @t16)) % 151.33/151.69 (define @t254 () (not (tptp.rel_s4 @t1 @t224))) % 151.33/151.69 (define @t255 () (not (forall @t128 (or (not (tptp.rel_s4 @t1 @t124)) @t196 @t195 @t194)))) % 151.33/151.69 (define @t256 () (not (tptp.rel_s4 @t16 @t1))) % 151.33/151.69 (define @t257 () (@list @t1 @t224)) % 151.33/151.69 (define @t258 () (forall @t257 (or @t256 @t255 @t254 @t236))) % 151.33/151.69 (define @t259 () (@list @t1)) % 151.33/151.69 (define @t260 () (not @t258)) % 151.33/151.69 (define @t261 () (not (tptp.rel_s4 @t1 @t230))) % 151.33/151.69 (define @t262 () (not (forall @t137 (or (not (tptp.rel_s4 @t1 @t135)) @t198)))) % 151.33/151.69 (define @t263 () (@list @t1 @t230 @t229 @t228)) % 151.33/151.69 (define @t264 () (forall @t263 (or @t256 @t262 @t261 @t243 @t242 @t241))) % 151.33/151.69 (define @t265 () (not @t264)) % 151.33/151.69 (define @t266 () (or @t265 @t260)) % 151.33/151.69 (define @t267 () (not @t266)) % 151.33/151.69 (define @t268 () (and (or (not (tptp.rel_s4 @t1 @t148)) @t207 @t205 @t204) (or (not (tptp.rel_s4 @t1 @t139)) @t203 @t202 @t201))) % 151.33/151.69 (define @t269 () (not (tptp.exists_in_world @t142 @t1))) % 151.33/151.69 (define @t270 () (@list @t1 @t142 @t148 @t147 @t139 @t138)) % 151.33/151.69 (define @t271 () (forall @t270 (or @t256 @t269 @t268))) % 151.33/151.69 (define @t272 () (not @t271)) % 151.33/151.69 (define @t273 () (or @t272 @t267)) % 151.33/151.69 (define @t274 () (lambda @t253 @t273)) % 151.33/151.69 (define @t275 () (or @t212 (_ @t274 @t1))) % 151.33/151.69 (define @t276 () (forall @t7 @t275)) % 151.33/151.69 (define @t277 () (lambda @t46 @t276)) % 151.33/151.69 (define @t278 () (_ @t31 @t1)) % 151.33/151.69 (define @t279 () (lambda @t34 (forall @t7 (or @t212 @t278)))) % 151.33/151.69 (define @t280 () (lambda @t253 @t267)) % 151.33/151.69 (define @t281 () (_ @t280 @t16)) % 151.33/151.69 (define @t282 () (or @t272 @t281)) % 151.33/151.69 (define @t283 () (lambda @t253 @t282)) % 151.33/151.69 (define @t284 () (_ @t36 @t16)) % 151.33/151.69 (define @t285 () (@list @t36 @t16)) % 151.33/151.69 (define @t286 () (or @t212 @t255 @t254 @t236)) % 151.33/151.69 (define @t287 () (lambda @t46 (forall @t257 @t286))) % 151.33/151.69 (define @t288 () (_ @t287 @t16)) % 151.33/151.69 (define @t289 () (not @t288)) % 151.33/151.69 (define @t290 () (or @t265 @t289)) % 151.33/151.69 (define @t291 () (not @t290)) % 151.33/151.69 (define @t292 () (lambda @t253 @t291)) % 151.33/151.69 (define @t293 () (not @t284)) % 151.33/151.69 (define @t294 () (or @t254 @t236)) % 151.33/151.69 (define @t295 () (or @t212 @t255 @t294)) % 151.33/151.69 (define @t296 () (forall @t257 @t295)) % 151.33/151.69 (define @t297 () (@list @t224)) % 151.33/151.69 (define @t298 () (forall @t297 @t295)) % 151.33/151.69 (define @t299 () (forall @t297 @t294)) % 151.33/151.69 (define @t300 () (@var "BOUND_VARIABLE_8955" $$unsorted)) % 151.33/151.69 (define @t301 () (@list @t300)) % 151.33/151.69 (define @t302 () (or @t212 @t255 @t299)) % 151.33/151.69 (define @t303 () (tptp.p @t300)) % 151.33/151.69 (define @t304 () (@list @t300)) % 151.33/151.69 (define @t305 () (forall @t304 (or (not (tptp.rel_s4 @t1 @t300)) @t303))) % 151.33/151.69 (define @t306 () (or @t212 @t255 @t305)) % 151.33/151.69 (define @t307 () (or @t255 @t305)) % 151.33/151.69 (define @t308 () (tptp.p @t1)) % 151.33/151.69 (define @t309 () (forall @t7 (or @t256 @t308))) % 151.33/151.69 (define @t310 () (not (tptp.rel_s4 @t1 @t119))) % 151.33/151.69 (define @t311 () (not (tptp.exists_in_world @t120 @t1))) % 151.33/151.69 (define @t312 () (@list @t1 @t120 @t119)) % 151.33/151.69 (define @t313 () (forall @t312 (or @t256 @t311 @t310 @t194))) % 151.33/151.69 (define @t314 () (not @t313)) % 151.33/151.69 (define @t315 () (or @t314 @t309)) % 151.33/151.69 (define @t316 () (lambda @t253 @t315)) % 151.33/151.69 (define @t317 () (or @t212 (_ @t316 @t1))) % 151.33/151.69 (define @t318 () (forall @t7 @t317)) % 151.33/151.69 (define @t319 () (lambda @t46 @t318)) % 151.33/151.69 (define @t320 () (lambda @t46 (forall @t7 (or @t212 @t308)))) % 151.33/151.69 (define @t321 () (_ @t320 @t16)) % 151.33/151.69 (define @t322 () (or @t314 @t321)) % 151.33/151.69 (define @t323 () (lambda @t253 @t322)) % 151.33/151.69 (define @t324 () (_ @t279 tptp.p)) % 151.33/151.69 (define @t325 () (or @t212 @t311 @t310 @t194)) % 151.33/151.69 (define @t326 () (lambda @t46 (forall @t312 @t325))) % 151.33/151.69 (define @t327 () (_ @t326 @t16)) % 151.33/151.69 (define @t328 () (not @t327)) % 151.33/151.69 (define @t329 () (or @t328 @t284)) % 151.33/151.69 (define @t330 () (lambda @t285 @t329)) % 151.33/151.69 (define @t331 () (not (_ @t31 @t16))) % 151.33/151.69 (define @t332 () (or @t331 @t284)) % 151.33/151.69 (define @t333 () (lambda @t51 @t332)) % 151.33/151.69 (define @t334 () (or @t311 @t310 @t194)) % 151.33/151.69 (define @t335 () (or @t212 @t334)) % 151.33/151.69 (define @t336 () (forall @t312 @t335)) % 151.33/151.69 (define @t337 () (@list @t120 @t119)) % 151.33/151.69 (define @t338 () (forall @t337 @t335)) % 151.33/151.69 (define @t339 () (forall @t337 @t334)) % 151.33/151.69 (define @t340 () (@var "BOUND_VARIABLE_8817" $$unsorted)) % 151.33/151.69 (define @t341 () (or @t212 @t339)) % 151.33/151.69 (define @t342 () (tptp.big_f @t2 @t340)) % 151.33/151.69 (define @t343 () (@list @t2 @t340)) % 151.33/151.69 (define @t344 () (forall @t343 (or @t175 (not (tptp.rel_s4 @t1 @t340)) @t342))) % 151.33/151.69 (define @t345 () (not (tptp.rel_s4 @t9 @t340))) % 151.33/151.69 (define @t346 () (not @t188)) % 151.33/151.69 (define @t347 () (or @t346 @t345 @t342)) % 151.33/151.69 (define @t348 () (lambda @t46 (forall @t343 @t347))) % 151.33/151.69 (define @t349 () (_ @t348 @t1)) % 151.33/151.69 (define @t350 () (or @t212 @t349)) % 151.33/151.69 (define @t351 () (forall @t7 @t350)) % 151.33/151.69 (define @t352 () (lambda @t46 @t351)) % 151.33/151.69 (define @t353 () (or @t345 @t342)) % 151.33/151.69 (define @t354 () (or @t346 @t353)) % 151.33/151.69 (define @t355 () (forall @t343 @t354)) % 151.33/151.69 (define @t356 () (@list @t340)) % 151.33/151.69 (define @t357 () (forall @t356 @t354)) % 151.33/151.69 (define @t358 () (forall @t356 @t353)) % 151.33/151.69 (define @t359 () (or @t346 @t358)) % 151.33/151.69 (define @t360 () (tptp.big_f @t2 @t1)) % 151.33/151.69 (define @t361 () (forall @t7 (or @t212 @t360))) % 151.33/151.69 (define @t362 () (tptp.big_f @t17 @t1)) % 151.33/151.69 (define @t363 () (forall @t7 (or @t256 @t362))) % 151.33/151.69 (define @t364 () (lambda @t19 @t363)) % 151.33/151.69 (define @t365 () (_ @t364 @t2 @t9)) % 151.33/151.69 (define @t366 () (or @t346 @t365)) % 151.33/151.69 (define @t367 () (forall @t5 @t366)) % 151.33/151.69 (define @t368 () (lambda @t46 @t367)) % 151.33/151.69 (define @t369 () (_ @t58 @t2 @t9)) % 151.33/151.69 (define @t370 () (lambda @t62 (forall @t5 (or @t346 @t369)))) % 151.33/151.69 (define @t371 () (_ @t18 @t1)) % 151.33/151.69 (define @t372 () (or @t212 @t371)) % 151.33/151.69 (define @t373 () (_ @t18 @t1)) % 151.33/151.69 (define @t374 () (or @t212 @t373)) % 151.33/151.69 (define @t375 () (forall @t7 @t374)) % 151.33/151.69 (define @t376 () (lambda @t46 @t375)) % 151.33/151.69 (define @t377 () (_ @t279 @t18)) % 151.33/151.69 (define @t378 () (lambda @t19 (_ @t377 @t16))) % 151.33/151.69 (define @t379 () (or @t212 @t262 @t261 @t243 @t242 @t241)) % 151.33/151.69 (define @t380 () (lambda @t46 (forall @t263 @t379))) % 151.33/151.69 (define @t381 () (_ @t380 @t16)) % 151.33/151.69 (define @t382 () (not @t381)) % 151.33/151.69 (define @t383 () (or @t382 @t293)) % 151.33/151.69 (define @t384 () (not @t383)) % 151.33/151.69 (define @t385 () (lambda @t285 @t384)) % 151.33/151.69 (define @t386 () (not (or @t331 @t293))) % 151.33/151.69 (define @t387 () (lambda @t51 @t386)) % 151.33/151.69 (define @t388 () (or @t261 @t243 @t242 @t241)) % 151.33/151.69 (define @t389 () (or @t212 @t262 @t388)) % 151.33/151.69 (define @t390 () (forall @t263 @t389)) % 151.33/151.69 (define @t391 () (@list @t230 @t229 @t228)) % 151.33/151.69 (define @t392 () (forall @t391 @t389)) % 151.33/151.69 (define @t393 () (forall @t391 @t388)) % 151.33/151.69 (define @t394 () (@var "BOUND_VARIABLE_8869" $$unsorted)) % 151.33/151.69 (define @t395 () (or @t212 @t262 @t393)) % 151.33/151.69 (define @t396 () (not (tptp.rel_s4 @t394 @t119))) % 151.33/151.69 (define @t397 () (not (tptp.exists_in_world @t120 @t394))) % 151.33/151.69 (define @t398 () (@list @t394 @t120 @t119)) % 151.33/151.69 (define @t399 () (forall @t398 (or (not (tptp.rel_s4 @t1 @t394)) @t397 @t396 @t194))) % 151.33/151.69 (define @t400 () (or @t212 @t262 @t399)) % 151.33/151.69 (define @t401 () (or @t262 @t399)) % 151.33/151.69 (define @t402 () (not @t309)) % 151.33/151.69 (define @t403 () (or @t402 @t313)) % 151.33/151.69 (define @t404 () (lambda @t253 @t403)) % 151.33/151.69 (define @t405 () (or @t212 (_ @t404 @t1))) % 151.33/151.69 (define @t406 () (forall @t7 @t405)) % 151.33/151.69 (define @t407 () (lambda @t46 @t406)) % 151.33/151.69 (define @t408 () (or @t402 @t327)) % 151.33/151.69 (define @t409 () (lambda @t253 @t408)) % 151.33/151.69 (define @t410 () (lambda @t285 (or @t402 @t284))) % 151.33/151.69 (define @t411 () (not @t321)) % 151.33/151.69 (define @t412 () (or @t411 @t284)) % 151.33/151.69 (define @t413 () (lambda @t285 @t412)) % 151.33/151.69 (define @t414 () (or @t212 @t269 @t268)) % 151.33/151.69 (define @t415 () (lambda @t46 (forall @t270 @t414))) % 151.33/151.69 (define @t416 () (_ @t415 @t16)) % 151.33/151.69 (define @t417 () (not @t416)) % 151.33/151.69 (define @t418 () (or @t417 @t284)) % 151.33/151.69 (define @t419 () (lambda @t285 @t418)) % 151.33/151.69 (define @t420 () (or @t269 @t268)) % 151.33/151.69 (define @t421 () (or @t212 @t420)) % 151.33/151.69 (define @t422 () (forall @t270 @t421)) % 151.33/151.69 (define @t423 () (@list @t142 @t148 @t147 @t139 @t138)) % 151.33/151.69 (define @t424 () (forall @t423 @t421)) % 151.33/151.69 (define @t425 () (forall @t423 @t420)) % 151.33/151.69 (define @t426 () (@var "BOUND_VARIABLE_8707" $$unsorted)) % 151.33/151.69 (define @t427 () (@var "BOUND_VARIABLE_8705" $$unsorted)) % 151.33/151.69 (define @t428 () (@var "BOUND_VARIABLE_8692" $$unsorted)) % 151.33/151.69 (define @t429 () (@var "BOUND_VARIABLE_8690" $$unsorted)) % 151.33/151.69 (define @t430 () (or @t212 @t425)) % 151.33/151.69 (define @t431 () (tptp.p @t426)) % 151.33/151.69 (define @t432 () (not (tptp.rel_s4 @t427 @t426))) % 151.33/151.69 (define @t433 () (tptp.big_f @t2 @t141)) % 151.33/151.69 (define @t434 () (not (forall @t144 (or (not (tptp.rel_s4 @t427 @t141)) @t433)))) % 151.33/151.69 (define @t435 () (tptp.big_f @t2 @t428)) % 151.33/151.69 (define @t436 () (not (tptp.rel_s4 @t429 @t428))) % 151.33/151.69 (define @t437 () (not (forall @t152 (or (not (tptp.rel_s4 @t429 @t150)) @t206)))) % 151.33/151.69 (define @t438 () (@list @t2 @t429 @t428 @t427 @t426)) % 151.33/151.69 (define @t439 () (forall @t438 (or @t175 (and (or (not (tptp.rel_s4 @t1 @t429)) @t437 @t436 @t435) (or (not (tptp.rel_s4 @t1 @t427)) @t434 @t432 @t431))))) % 151.33/151.69 (define @t440 () (or (not (tptp.rel_s4 @t9 @t427)) @t434 @t432 @t431)) % 151.33/151.69 (define @t441 () (or (not (tptp.rel_s4 @t9 @t429)) @t437 @t436 @t435)) % 151.33/151.69 (define @t442 () (and @t441 @t440)) % 151.33/151.69 (define @t443 () (or @t346 @t442)) % 151.33/151.69 (define @t444 () (forall @t438 @t443)) % 151.33/151.69 (define @t445 () (lambda @t46 @t444)) % 151.33/151.69 (define @t446 () (_ @t445 @t1)) % 151.33/151.69 (define @t447 () (or @t212 @t446)) % 151.33/151.69 (define @t448 () (forall @t7 @t447)) % 151.33/151.69 (define @t449 () (lambda @t46 @t448)) % 151.33/151.69 (define @t450 () (@list @t429 @t428 @t427 @t426)) % 151.33/151.69 (define @t451 () (forall @t450 @t443)) % 151.33/151.69 (define @t452 () (forall (@list @t427 @t426) @t440)) % 151.33/151.69 (define @t453 () (@var "BOUND_VARIABLE_8649" $$unsorted)) % 151.33/151.69 (define @t454 () (forall @t450 @t440)) % 151.33/151.69 (define @t455 () (forall (@list @t429 @t428) @t441)) % 151.33/151.69 (define @t456 () (@var "BOUND_VARIABLE_8574" $$unsorted)) % 151.33/151.69 (define @t457 () (forall @t450 @t441)) % 151.33/151.69 (define @t458 () (and @t457 @t454)) % 151.33/151.69 (define @t459 () (forall @t450 @t442)) % 151.33/151.69 (define @t460 () (or @t346 @t459)) % 151.33/151.69 (define @t461 () (tptp.p @t453)) % 151.33/151.69 (define @t462 () (not (tptp.rel_s4 @t1 @t453))) % 151.33/151.69 (define @t463 () (not (forall @t144 (or (not (tptp.rel_s4 @t1 @t141)) @t433)))) % 151.33/151.69 (define @t464 () (or @t212 @t463 @t462 @t461)) % 151.33/151.69 (define @t465 () (@list @t1 @t453)) % 151.33/151.69 (define @t466 () (forall @t465 @t464)) % 151.33/151.69 (define @t467 () (tptp.big_f @t2 @t456)) % 151.33/151.69 (define @t468 () (not (tptp.rel_s4 @t1 @t456))) % 151.33/151.69 (define @t469 () (not (forall @t152 (or (not (tptp.rel_s4 @t1 @t150)) @t206)))) % 151.33/151.69 (define @t470 () (or @t212 @t469 @t468 @t467)) % 151.33/151.69 (define @t471 () (@list @t1 @t456)) % 151.33/151.69 (define @t472 () (forall @t471 @t470)) % 151.33/151.69 (define @t473 () (not @t466)) % 151.33/151.69 (define @t474 () (not @t472)) % 151.33/151.69 (define @t475 () (not (or @t474 @t473))) % 151.33/151.69 (define @t476 () (or @t346 @t475)) % 151.33/151.69 (define @t477 () (forall @t465 (or @t256 @t463 @t462 @t461))) % 151.33/151.69 (define @t478 () (forall @t471 (or @t256 @t469 @t468 @t467))) % 151.33/151.69 (define @t479 () (not @t478)) % 151.33/151.69 (define @t480 () (not (or @t479 (not @t477)))) % 151.33/151.69 (define @t481 () (lambda @t25 @t480)) % 151.33/151.69 (define @t482 () (_ @t481 @t2 @t9)) % 151.33/151.69 (define @t483 () (or @t346 @t482)) % 151.33/151.69 (define @t484 () (forall @t5 @t483)) % 151.33/151.69 (define @t485 () (lambda @t46 @t484)) % 151.33/151.69 (define @t486 () (lambda @t46 @t466)) % 151.33/151.69 (define @t487 () (_ @t486 @t16)) % 151.33/151.69 (define @t488 () (not @t487)) % 151.33/151.69 (define @t489 () (or @t479 @t488)) % 151.33/151.69 (define @t490 () (not @t489)) % 151.33/151.69 (define @t491 () (lambda @t253 @t490)) % 151.33/151.69 (define @t492 () (or @t462 @t461)) % 151.33/151.69 (define @t493 () (or @t212 @t463 @t492)) % 151.33/151.69 (define @t494 () (forall @t465 @t493)) % 151.33/151.69 (define @t495 () (@list @t453)) % 151.33/151.69 (define @t496 () (forall @t495 @t493)) % 151.33/151.69 (define @t497 () (forall @t495 @t492)) % 151.33/151.69 (define @t498 () (@var "BOUND_VARIABLE_8616" $$unsorted)) % 151.33/151.69 (define @t499 () (@list @t498)) % 151.33/151.69 (define @t500 () (or @t212 @t463 @t497)) % 151.33/151.69 (define @t501 () (tptp.p @t498)) % 151.33/151.69 (define @t502 () (@list @t498)) % 151.33/151.69 (define @t503 () (forall @t502 (or (not (tptp.rel_s4 @t1 @t498)) @t501))) % 151.33/151.69 (define @t504 () (or @t212 @t463 @t503)) % 151.33/151.69 (define @t505 () (or @t463 @t503)) % 151.33/151.69 (define @t506 () (forall @t7 (or @t256 @t360))) % 151.33/151.69 (define @t507 () (not @t506)) % 151.33/151.69 (define @t508 () (or @t507 @t309)) % 151.33/151.69 (define @t509 () (lambda @t253 @t508)) % 151.33/151.69 (define @t510 () (or @t212 (_ @t509 @t1))) % 151.33/151.69 (define @t511 () (forall @t7 @t510)) % 151.33/151.69 (define @t512 () (lambda @t46 @t511)) % 151.33/151.69 (define @t513 () (or @t507 @t321)) % 151.33/151.69 (define @t514 () (lambda @t253 @t513)) % 151.33/151.69 (define @t515 () (lambda @t46 @t361)) % 151.33/151.69 (define @t516 () (_ @t515 @t16)) % 151.33/151.69 (define @t517 () (not @t516)) % 151.33/151.69 (define @t518 () (or @t517 @t284)) % 151.33/151.69 (define @t519 () (lambda @t285 @t518)) % 151.33/151.69 (define @t520 () (_ @t23 @t1)) % 151.33/151.69 (define @t521 () (or @t212 @t520)) % 151.33/151.69 (define @t522 () (_ @t23 @t1)) % 151.33/151.69 (define @t523 () (or @t212 @t522)) % 151.33/151.69 (define @t524 () (forall @t7 @t523)) % 151.33/151.69 (define @t525 () (lambda @t46 @t524)) % 151.33/151.69 (define @t526 () (_ @t279 @t23)) % 151.33/151.69 (define @t527 () (lambda @t46 @t472)) % 151.33/151.69 (define @t528 () (_ @t527 @t16)) % 151.33/151.69 (define @t529 () (not @t528)) % 151.33/151.69 (define @t530 () (or @t529 @t293)) % 151.33/151.69 (define @t531 () (not @t530)) % 151.33/151.69 (define @t532 () (lambda @t285 @t531)) % 151.33/151.69 (define @t533 () (or @t468 @t467)) % 151.33/151.69 (define @t534 () (or @t212 @t469 @t533)) % 151.33/151.69 (define @t535 () (forall @t471 @t534)) % 151.33/151.69 (define @t536 () (@list @t456)) % 151.33/151.69 (define @t537 () (forall @t536 @t534)) % 151.33/151.69 (define @t538 () (forall @t536 @t533)) % 151.33/151.69 (define @t539 () (@var "BOUND_VARIABLE_8541" $$unsorted)) % 151.33/151.69 (define @t540 () (@list @t539)) % 151.33/151.69 (define @t541 () (or @t212 @t469 @t538)) % 151.33/151.69 (define @t542 () (tptp.big_f @t2 @t539)) % 151.33/151.69 (define @t543 () (@list @t539)) % 151.33/151.69 (define @t544 () (forall @t543 (or (not (tptp.rel_s4 @t1 @t539)) @t542))) % 151.33/151.69 (define @t545 () (or @t212 @t469 @t544)) % 151.33/151.69 (define @t546 () (or @t469 @t544)) % 151.33/151.69 (define @t547 () (or @t402 @t506)) % 151.33/151.69 (define @t548 () (lambda @t253 @t547)) % 151.33/151.69 (define @t549 () (or @t212 (_ @t548 @t1))) % 151.33/151.69 (define @t550 () (forall @t7 @t549)) % 151.33/151.69 (define @t551 () (lambda @t46 @t550)) % 151.33/151.69 (define @t552 () (or @t402 @t516)) % 151.33/151.69 (define @t553 () (lambda @t253 @t552)) % 151.33/151.69 (define @t554 () (_ @t333 @t324)) % 151.33/151.69 (define @t555 () (lambda @t25 (_ (_ (_ @t387 (_ @t279 (_ @t554 @t526))) (_ @t279 (_ (_ @t333 @t526) @t324))) @t16))) % 151.33/151.69 (define @t556 () (_ @t279 (_ @t370 @t378))) % 151.33/151.69 (define @t557 () (not @t10)) % 151.33/151.69 (define @t558 () (or @t557 @t60)) % 151.33/151.69 (define @t559 () (or @t33 @t37)) % 151.33/151.69 (define @t560 () (lambda @t46 @t559)) % 151.33/151.69 (define @t561 () (@list @t36 @t9)) % 151.33/151.69 (define @t562 () (lambda @t561 @t559)) % 151.33/151.69 (define @t563 () (lambda @t46 @t33)) % 151.33/151.69 (define @t564 () (_ @t563 @t9)) % 151.33/151.69 (define @t565 () (or @t564 @t37)) % 151.33/151.69 (define @t566 () (lambda @t561 @t565)) % 151.33/151.69 (define @t567 () (not @t37)) % 151.33/151.69 (define @t568 () (or @t33 @t567)) % 151.33/151.69 (define @t569 () (lambda @t46 @t568)) % 151.33/151.69 (define @t570 () (_ @t569 @t9)) % 151.33/151.69 (define @t571 () (not @t570)) % 151.33/151.69 (define @t572 () (lambda @t46 @t571)) % 151.33/151.69 (define @t573 () (lambda @t46 @t567)) % 151.33/151.69 (define @t574 () (_ @t573 @t9)) % 151.33/151.69 (define @t575 () (or @t33 @t574)) % 151.33/151.69 (define @t576 () (lambda @t46 @t575)) % 151.33/151.69 (define @t577 () (forall @t155 (or (not (_ @t112 @t161 @t145)) @t154 @t153))) % 151.33/151.69 (define @t578 () (@quantifiers_skolemize @t157 5)) % 151.33/151.69 (define @t579 () (@quantifiers_skolemize @t157 4)) % 151.33/151.69 (define @t580 () (_ @t122 @t121 @t579)) % 151.33/151.69 (define @t581 () (_ @t112 @t580 @t578)) % 151.33/151.69 (define @t582 () (_ @t110 @t109 @t158)) % 151.33/151.69 (define @t583 () (_ @t112 @t582 @t578)) % 151.33/151.69 (define @t584 () (not @t583)) % 151.33/151.69 (define @t585 () (_ @t112 (_ @t122 @t126 @t579) @t158)) % 151.33/151.69 (define @t586 () (not @t585)) % 151.33/151.69 (define @t587 () (@quantifiers_skolemize @t157 2)) % 151.33/151.69 (define @t588 () (_ @t110 @t109 @t587)) % 151.33/151.69 (define @t589 () (_ @t112 @t588 @t158)) % 151.33/151.69 (define @t590 () (not @t589)) % 151.33/151.69 (define @t591 () (forall @t137 (or (not (_ @t112 @t588 @t135)) @t136))) % 151.33/151.69 (define @t592 () (not @t591)) % 151.33/151.69 (define @t593 () (_ @t112 @t161 @t587)) % 151.33/151.69 (define @t594 () (not @t593)) % 151.33/151.69 (define @t595 () (or @t594 @t592 @t590 @t586 @t584 @t581)) % 151.33/151.69 (define @t596 () (and @t595 @t171)) % 151.33/151.69 (define @t597 () (not @t577)) % 151.33/151.69 (define @t598 () (@quantifiers_skolemize @t157 0)) % 151.33/151.69 (define @t599 () (_ @t110 @t109 @t598)) % 151.33/151.69 (define @t600 () (or (not (_ @t112 @t599 @t160)) @t597 @t596)) % 151.33/151.69 (define @t601 () (@list @t600)) % 151.33/151.69 (define @t602 () (_ @t122 @t121 @t181)) % 151.33/151.69 (define @t603 () (forall @t144 (or (not (_ @t112 @t165 @t141)) (_ @t112 @t602 @t141)))) % 151.33/151.69 (define @t604 () (not @t603)) % 151.33/151.69 (define @t605 () (or @t170 @t604 @t167 @t164)) % 151.33/151.69 (define @t606 () (and (or (not (_ @t112 @t161 @t598)) (not (forall @t152 (or (not (_ @t112 @t599 @t150)) @t151))) (not (_ @t112 @t599 @t158)) (_ @t112 @t602 @t158)) @t605)) % 151.33/151.69 (define @t607 () (_ @t112 @t161 @t160)) % 151.33/151.69 (define @t608 () (not @t607)) % 151.33/151.69 (define @t609 () (or @t608 @t185 @t606)) % 151.33/151.69 (define @t610 () (@list false false false)) % 151.33/151.69 (define @t611 () (@list false)) % 151.33/151.69 (define @t612 () (@quantifiers_skolemize @t603 0)) % 151.33/151.69 (define @t613 () (_ @t112 @t602 @t612)) % 151.33/151.69 (define @t614 () (_ @t112 @t165 @t612)) % 151.33/151.69 (define @t615 () (not @t614)) % 151.33/151.69 (define @t616 () (or @t615 @t613)) % 151.33/151.69 (define @t617 () (not @t616)) % 151.33/151.69 (define @t618 () (not @t192)) % 151.33/151.69 (define @t619 () (_ @t112 @t165 @t159)) % 151.33/151.69 (define @t620 () (not @t619)) % 151.33/151.69 (define @t621 () (or @t620 @t618 @t615 @t613)) % 151.33/151.69 (define @t622 () (@list @t595)) % 151.33/151.69 (define @t623 () (forall @t152 (or (not (_ @t112 @t582 @t150)) @t151))) % 151.33/151.69 (define @t624 () (@quantifiers_skolemize @t623 0)) % 151.33/151.69 (define @t625 () (_ @t112 @t116 @t624)) % 151.33/151.69 (define @t626 () (_ @t112 @t588 @t624)) % 151.33/151.69 (define @t627 () (not @t626)) % 151.33/151.69 (define @t628 () (or @t627 @t625)) % 151.33/151.69 (define @t629 () (_ @t112 @t582 @t624)) % 151.33/151.69 (define @t630 () (not @t629)) % 151.33/151.69 (define @t631 () (or @t630 @t625)) % 151.33/151.69 (define @t632 () (forall @t83 (or (not (tptp.rel_s4 @t66 @t73)) (not (tptp.rel_s4 @t73 @t79)) (tptp.rel_s4 @t66 @t79)))) % 151.33/151.69 (define @t633 () (_ @t40 @t66 @t79)) % 151.33/151.69 (define @t634 () (_ @t40 @t73 @t79)) % 151.33/151.69 (define @t635 () (_ @t40 @t66 @t73)) % 151.33/151.69 (define @t636 () (not @t81)) % 151.33/151.69 (define @t637 () (not @t75)) % 151.33/151.69 (define @t638 () (or @t637 @t636 @t80)) % 151.33/151.69 (define @t639 () (or @t590 @t630 @t626)) % 151.33/151.69 (define @t640 () (not @t628)) % 151.33/151.69 (define @t641 () (not @t631)) % 151.33/151.69 (define @t642 () (not @t623)) % 151.33/151.69 (define @t643 () (_ @t112 @t161 @t158)) % 151.33/151.69 (define @t644 () (or @t594 @t590 @t643)) % 151.33/151.69 (define @t645 () (_ @t112 @t582 @t158)) % 151.33/151.69 (define @t646 () (not @t645)) % 151.33/151.69 (define @t647 () (or @t646 @t642 @t584 @t581)) % 151.33/151.69 (define @t648 () (and @t647 (or @t646 (not (forall @t144 (or (not (_ @t112 @t582 @t141)) (_ @t112 @t580 @t141)))) @t584 (_ @t112 @t116 @t578)))) % 151.33/151.69 (define @t649 () (not @t643)) % 151.33/151.69 (define @t650 () (or @t649 @t586 @t648)) % 151.33/151.69 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 151.33/151.69 (assume @p2 @t8) % 151.33/151.69 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 151.33/151.69 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 151.33/151.69 (assume @p5 @t14) % 151.33/151.69 (assume @p6 @t27) % 151.33/151.69 (assume @p7 true) % 151.33/151.69 (step @p8 (= tptp.meq_prop @t30) :rule refl :args (@t30)) % 151.33/151.69 (step @p9 (= tptp.mnot @t35) :rule refl :args (@t35)) % 151.33/151.69 (step @p10 (= tptp.mor @t38) :rule refl :args (@t38)) % 151.33/151.69 (step @p11 (= tptp.mbox @t41) :rule refl :args (@t41)) % 151.33/151.69 (step @p12 (= tptp.mforall_prop @t45) :rule refl :args (@t45)) % 151.33/151.69 (step @p13 (= tptp.mtrue @t47) :rule refl :args (@t47)) % 151.33/151.69 (step @p14 (= tptp.mand @t52) :rule refl :args (@t52)) % 151.33/151.69 (step @p15 (= tptp.mimplies @t53) :rule refl :args (@t53)) % 151.33/151.69 (step @p16 (= tptp.mimplied @t54) :rule refl :args (@t54)) % 151.33/151.69 (step @p17 (= tptp.mequiv @t55) :rule refl :args (@t55)) % 151.33/151.69 (step @p18 (= tptp.mxor @t56) :rule refl :args (@t56)) % 151.33/151.69 (step @p19 (= tptp.mdia @t57) :rule refl :args (@t57)) % 151.33/151.69 (step @p20 (= tptp.mforall_ind @t63) :rule refl :args (@t63)) % 151.33/151.69 (step @p21 (= tptp.mexists_ind @t64) :rule refl :args (@t64)) % 151.33/151.69 (step @p22 (= tptp.mexists_prop @t65) :rule refl :args (@t65)) % 151.33/151.69 (step @p23 (= tptp.mreflexive @t72) :rule refl :args (@t72)) % 151.33/151.69 (step @p24 (= tptp.msymmetric @t76) :rule refl :args (@t76)) % 151.33/151.69 (step @p25 (= tptp.mserial @t78) :rule refl :args (@t78)) % 151.33/151.69 (step @p26 (= tptp.mtransitive @t85) :rule refl :args (@t85)) % 151.33/151.69 (step @p27 (= tptp.meuclidean @t87) :rule refl :args (@t87)) % 151.33/151.69 (step @p28 (= tptp.mpartially_functional @t89) :rule refl :args (@t89)) % 151.33/151.69 (step @p29 (= tptp.mfunctional @t91) :rule refl :args (@t91)) % 151.33/151.69 (step @p30 (= tptp.mweakly_dense @t94) :rule refl :args (@t94)) % 151.33/151.69 (step @p31 (= tptp.mweakly_connected @t95) :rule refl :args (@t95)) % 151.33/151.69 (step @p32 (= tptp.mweakly_directed @t96) :rule refl :args (@t96)) % 151.33/151.69 (step @p33 (= tptp.mvalid @t99) :rule refl :args (@t99)) % 151.33/151.69 (step @p34 (= tptp.msatisfiable @t100) :rule refl :args (@t100)) % 151.33/151.69 (step @p35 (= tptp.mcountersatisfiable @t101) :rule refl :args (@t101)) % 151.33/151.69 (step @p36 (= tptp.minvalid @t102) :rule refl :args (@t102)) % 151.33/151.69 (step @p37 (= tptp.mbox_s4 @t107) :rule refl :args (@t107)) % 151.33/151.69 (step @p38 (= tptp.mdia_s4 @t108) :rule refl :args (@t108)) % 151.33/151.69 ; WARNING: add trust step for TRUST % 151.33/151.69 ; trust TRUST PREPROCESS_HO_ELIM % 151.33/151.69 (step @p39 :rule trust :premises () :args ((= @t113 (forall @t69 (_ @t112 @t111 @t66))))) % 151.33/151.69 (step @p40 :rule beta-reduce :args ((= (_ (lambda @t71 (forall @t69 @t114)) tptp.rel_s4) @t113))) % 151.33/151.69 (step @p41 :rule refl :args (tptp.rel_s4)) % 151.33/151.69 (step @p42 :rule refl :args (@t114)) % 151.33/151.69 (step @p43 :rule refl :args (@t68)) % 151.33/151.69 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t68 @t114))) % 151.33/151.69 (step @p45 :rule symm :premises (@p44)) % 151.33/151.69 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 151.33/151.69 (step @p47 :rule cong :premises (@p46) :args (@t70)) % 151.33/151.69 (step @p48 :rule cong :premises (@p47) :args (@t72)) % 151.33/151.69 (step @p49 :rule trans :premises (@p23 @p48)) % 151.33/151.69 (step @p50 :rule ho_cong :premises (@p49 @p41)) % 151.33/151.69 (step @p51 :rule trans :premises (@p50 @p40)) % 151.33/151.69 (step @p52 :rule trans :premises (@p51 @p39)) % 151.33/151.69 (step @p53 :rule eq_resolve :premises (@p3 @p52)) % 151.33/151.69 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t158))) % 151.33/151.69 (step @p55 :rule bool-double-not-elim :args (@t162)) % 151.33/151.69 (step @p56 :rule refl :args (@t171)) % 151.33/151.69 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t171 (not @t170)))) % 151.33/151.69 (step @p58 :rule cnf_or_neg :args (@t171 0)) % 151.33/151.69 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 151.33/151.69 (step @p60 :rule reordering :premises (@p59) :args ((or @t162 @t171))) % 151.33/151.69 (step @p61 :rule bool-double-not-elim :args (@t168)) % 151.33/151.69 (step @p62 :rule nary_cong :premises (@p56 @p61) :args ((or @t171 (not @t169)))) % 151.33/151.69 (step @p63 :rule cnf_or_neg :args (@t171 1)) % 151.33/151.69 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 151.33/151.69 (step @p65 :rule reordering :premises (@p64) :args ((or @t168 @t171))) % 151.33/151.69 (step @p66 :rule bool-double-not-elim :args (@t166)) % 151.33/151.69 (step @p67 :rule nary_cong :premises (@p56 @p66) :args ((or @t171 (not @t167)))) % 151.33/151.69 (step @p68 :rule cnf_or_neg :args (@t171 2)) % 151.33/151.69 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 151.33/151.69 (step @p70 :rule reordering :premises (@p69) :args ((or @t166 @t171))) % 151.33/151.69 (step @p71 :rule cnf_or_neg :args (@t171 3)) % 151.33/151.69 ; trust TRUST PREPROCESS_HO_ELIM % 151.33/151.69 (step @p72 :rule trust :premises () :args ((= (forall @t7 (not (forall @t5 @t175))) (forall @t7 (not (forall @t5 @t173)))))) % 151.33/151.69 (step @p73 :rule refl :args (@t174)) % 151.33/151.69 (step @p74 :rule refl :args (@t4)) % 151.33/151.69 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t4 @t174))) % 151.33/151.69 (step @p76 :rule symm :premises (@p75)) % 151.33/151.69 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 151.33/151.69 (step @p78 :rule cong :premises (@p77) :args (@t176)) % 151.33/151.69 (step @p79 :rule cong :premises (@p78) :args (@t177)) % 151.33/151.69 (step @p80 :rule cong :premises (@p79) :args (@t178)) % 151.33/151.69 (step @p81 :rule exists-elim :args ((= @t6 @t178))) % 151.33/151.69 (step @p82 :rule trans :premises (@p81 @p80)) % 151.33/151.69 (step @p83 :rule cong :premises (@p82) :args (@t8)) % 151.33/151.69 (step @p84 :rule trans :premises (@p83 @p72)) % 151.33/151.69 (step @p85 :rule eq_resolve :premises (@p2 @p84)) % 151.33/151.69 (step @p86 :rule instantiate :premises (@p85) :args (@t179)) % 151.33/151.69 (step @p87 :rule refl :args (@t183)) % 151.33/151.69 (step @p88 :rule bool-double-not-elim :args (@t180)) % 151.33/151.69 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t184) @t183))) % 151.33/151.69 (step @p90 :rule bool-double-not-elim :args (@t183)) % 151.33/151.69 (step @p91 :rule refl :args (@t184)) % 151.33/151.69 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t184 @t186))) % 151.33/151.69 (assume-push @p838 @t184) % 151.33/151.69 (step @p94 :rule skolemize :premises (@p86)) % 151.33/151.69 (step-pop @p839 :rule scope :premises (@p94)) % 151.33/151.69 (step @p95 :rule process_scope :premises (@p839) :args (@t186)) % 151.33/151.69 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 151.33/151.69 (step @p98 :rule implies_elim :premises (@p97)) % 151.33/151.69 (step @p99 :rule eq_resolve :premises (@p98 @p89)) % 151.33/151.69 (step @p100 :rule chain_m_resolution :premises (@p99 @p86) :args (@t183 @t187 (@list @t180))) % 151.33/151.69 ; trust TRUST PREPROCESS_HO_ELIM % 151.33/151.69 (step @p101 :rule trust :premises () :args ((= (forall @t13 (or @t175 (not @t189) @t188)) (forall @t13 (or @t173 (not (_ @t112 @t129 @t9)) (_ @t112 @t172 @t9)))))) % 151.33/151.69 (step @p102 :rule refl :args (@t188)) % 151.33/151.69 (step @p103 :rule refl :args (@t10)) % 151.33/151.69 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t10 @t188))) % 151.33/151.69 (step @p105 :rule symm :premises (@p104)) % 151.33/151.69 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 151.33/151.69 (step @p107 :rule refl :args (@t189)) % 151.33/151.69 (step @p108 :rule refl :args (@t11)) % 151.33/151.69 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t11 @t189))) % 151.33/151.69 (step @p110 :rule symm :premises (@p109)) % 151.33/151.69 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 151.33/151.69 (step @p112 :rule cong :premises (@p111) :args (@t190)) % 151.33/151.69 (step @p113 :rule nary_cong :premises (@p78 @p112 @p106) :args (@t191)) % 151.33/151.69 (step @p114 :rule cong :premises (@p113) :args ((forall @t13 @t191))) % 151.33/151.69 (step @p115 :rule aci_norm :args ((= (or (or @t176 @t190) @t10) @t191))) % 151.33/151.69 (step @p116 :rule bool-and-de-morgan :args (@t4 @t11 true)) % 151.33/151.69 (step @p117 :rule nary_cong :premises (@p116 @p103) :args ((or (not @t12) @t10))) % 151.33/151.69 (step @p118 :rule trans :premises (@p117 @p115)) % 151.33/151.69 (step @p119 :rule bool-impl-elim :args (@t12 @t10)) % 151.33/151.69 (step @p120 :rule trans :premises (@p119 @p118)) % 151.33/151.69 (step @p121 :rule cong :premises (@p120) :args (@t14)) % 151.33/151.69 (step @p122 :rule trans :premises (@p121 @p114)) % 151.33/151.69 (step @p123 :rule trans :premises (@p122 @p101)) % 151.33/151.69 (step @p124 :rule eq_resolve :premises (@p5 @p123)) % 151.33/151.69 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t181 @t160 @t159))) % 151.33/151.69 (step @p126 :rule cnf_or_pos :args (@t193)) % 151.33/151.69 (step @p127 :rule reordering :premises (@p126) :args ((or @t170 @t185 @t192 (not @t193)))) % 151.33/151.69 ; trust TRUST PREPROCESS_HO_ELIM % 151.33/151.69 (step @p128 :rule trust :premises () :args ((= (not @t214) (not @t157)))) % 151.33/151.69 (step @p129 :rule quant-merge-prenex :args ((= (forall @t46 @t215) @t214))) % 151.33/151.69 (step @p130 :rule beta-reduce :args ((= @t217 @t215))) % 151.33/151.69 (step @p131 :rule cong :premises (@p130) :args (@t218)) % 151.33/151.69 (step @p132 :rule trans :premises (@p131 @p129)) % 151.33/151.69 (step @p133 :rule beta-reduce :args ((= (_ @t220 @t216) @t218))) % 151.33/151.69 (step @p134 :rule trans :premises (@p133 @p132)) % 151.33/151.69 (step @p135 :rule quant-merge-prenex :args ((= (forall @t7 @t222) @t215))) % 151.33/151.69 (step @p136 :rule alpha_equiv :args (@t223 (@list @t117 @t115) (@list @t225 @t224))) % 151.33/151.69 (step @p137 :rule quant-unused-vars :args ((= @t226 @t223))) % 151.33/151.69 (step @p138 :rule trans :premises (@p137 @p136)) % 151.33/151.69 (step @p139 :rule alpha_equiv :args (@t227 (@list @t133 @t132 @t131 @t130) (@list @t231 @t230 @t229 @t228))) % 151.33/151.69 (step @p140 :rule quant-unused-vars :args ((= @t232 @t227))) % 151.33/151.69 (step @p141 :rule trans :premises (@p140 @p139)) % 151.33/151.69 (step @p142 :rule nary_cong :premises (@p141 @p138) :args (@t233)) % 151.33/151.69 (step @p143 :rule quant-miniscope-and :args ((= @t234 @t233))) % 151.33/151.69 (step @p144 :rule trans :premises (@p143 @p142)) % 151.33/151.69 (step @p145 :rule refl :args (@t210)) % 151.33/151.69 (step @p146 :rule refl :args (@t212)) % 151.33/151.69 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144) :args (@t235)) % 151.33/151.69 (step @p148 :rule quant-miniscope-or :args ((= @t222 @t235))) % 151.33/151.69 (step @p149 :rule trans :premises (@p148 @p147)) % 151.33/151.69 (step @p150 :rule symm :premises (@p149)) % 151.33/151.69 (step @p151 :rule cong :premises (@p150) :args ((forall @t7 (or @t212 @t210 (and @t247 @t240))))) % 151.33/151.69 (step @p152 :rule trans :premises (@p151 @p135)) % 151.33/151.69 (step @p153 :rule bool-double-not-elim :args (@t240)) % 151.33/151.69 (step @p154 :rule bool-double-not-elim :args (@t247)) % 151.33/151.69 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((and (not @t249) (not @t248)))) % 151.33/151.69 (step @p156 :rule bool-or-de-morgan :args (@t249 @t248 false)) % 151.33/151.69 (step @p157 :rule trans :premises (@p156 @p155)) % 151.33/151.69 (step @p158 :rule nary_cong :premises (@p146 @p145 @p157) :args (@t251)) % 151.33/151.69 (step @p159 :rule cong :premises (@p158) :args ((forall @t7 @t251))) % 151.33/151.69 (step @p160 :rule trans :premises (@p159 @p152)) % 151.33/151.69 (step @p161 :rule aci_norm :args ((= (or @t212 @t252) @t251))) % 151.33/151.69 (step @p162 :rule beta-reduce :args ((= (_ (lambda @t253 (or (not (forall @t155 (or (not (tptp.rel_s4 @t16 @t145)) @t209 @t208))) (not (or (not (forall @t246 (or (not (tptp.rel_s4 @t16 @t231)) @t245 @t244 @t243 @t242 @t241))) (not (forall @t239 (or (not (tptp.rel_s4 @t16 @t225)) @t238 @t237 @t236))))))) @t1) @t252))) % 151.33/151.69 (step @p163 :rule refl :args (@t1)) % 151.33/151.69 (step @p164 :rule alpha_equiv :args (@t258 @t259 (@list @t225))) % 151.33/151.69 (step @p165 :rule cong :premises (@p164) :args (@t260)) 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:premises (@p597 @p596)) % 151.33/151.69 (step @p599 :rule beta-reduce :args ((= (_ @t35 @t31) @t563))) % 151.33/151.69 (step @p600 :rule refl :args (@t38)) % 151.33/151.69 (step @p601 :rule ho_cong :premises (@p600 @p599)) % 151.33/151.69 (step @p602 :rule trans :premises (@p601 @p598)) % 151.33/151.69 (step @p603 :rule ho_cong :premises (@p602 @p592)) % 151.33/151.69 (step @p604 :rule trans :premises (@p603 @p591)) % 151.33/151.69 (step @p605 :rule ho_cong :premises (@p604 @p279)) % 151.33/151.69 (step @p606 :rule trans :premises (@p605 @p590)) % 151.33/151.69 (step @p607 :rule refl :args (@t31)) % 151.33/151.69 (step @p608 :rule ho_cong :premises (@p9 @p607)) % 151.33/151.69 (step @p609 :rule ho_cong :premises (@p10 @p608)) % 151.33/151.69 (step @p610 :rule ho_cong :premises (@p609 @p592)) % 151.33/151.69 (step @p611 :rule ho_cong :premises (@p610 @p279)) % 151.33/151.69 (step @p612 :rule trans :premises (@p611 @p606)) % 151.33/151.69 (step @p613 :rule cong :premises (@p612) :args (@t53)) % 151.33/151.69 (step @p614 :rule trans :premises (@p15 @p613)) % 151.33/151.69 (step @p615 :rule ho_cong :premises (@p614 @p589)) % 151.33/151.69 (step @p616 :rule ho_cong :premises (@p615 @p570)) % 151.33/151.69 (step @p617 :rule ho_cong :premises (@p569 @p616)) % 151.33/151.69 (step @p618 :rule ho_cong :premises (@p614 @p570)) % 151.33/151.69 (step @p619 :rule ho_cong :premises (@p618 @p589)) % 151.33/151.69 (step @p620 :rule ho_cong :premises (@p569 @p619)) % 151.33/151.69 (step @p621 :rule beta-reduce :args ((= (_ (lambda @t46 (not @t568)) @t16) @t386))) % 151.33/151.69 (step @p622 :rule beta-reduce :args ((= @t570 @t568))) % 151.33/151.69 (step @p623 :rule cong :premises (@p622) :args (@t571)) % 151.33/151.69 (step @p624 :rule cong :premises (@p623) :args (@t572)) % 151.33/151.69 (step @p625 :rule beta-reduce :args ((= (_ @t35 @t569) @t572))) % 151.33/151.69 (step @p626 :rule trans :premises (@p625 @p624)) % 151.33/151.69 (step @p627 :rule beta-reduce :args ((= @t574 @t567))) % 151.33/151.69 (step @p628 :rule refl :args (@t33)) % 151.33/151.69 (step @p629 :rule nary_cong :premises (@p628 @p627) :args (@t575)) % 151.33/151.69 (step @p630 :rule cong :premises (@p629) :args (@t576)) % 151.33/151.69 (step @p631 :rule beta-reduce :args ((= (_ @t562 @t573) @t576))) % 151.33/151.69 (step @p632 :rule trans :premises (@p631 @p630)) % 151.33/151.69 (step @p633 :rule beta-reduce :args ((= (_ @t35 @t36) @t573))) % 151.33/151.69 (step @p634 :rule ho_cong :premises (@p602 @p633)) % 151.33/151.69 (step @p635 :rule trans :premises (@p634 @p632)) % 151.33/151.69 (step @p636 :rule refl :args (@t35)) % 151.33/151.69 (step @p637 :rule ho_cong :premises (@p636 @p635)) % 151.33/151.69 (step @p638 :rule trans :premises (@p637 @p626)) % 151.33/151.69 (step @p639 :rule ho_cong :premises (@p638 @p279)) % 151.33/151.69 (step @p640 :rule trans :premises (@p639 @p621)) % 151.33/151.69 (step @p641 :rule ho_cong :premises (@p9 @p592)) % 151.33/151.69 (step @p642 :rule ho_cong :premises (@p609 @p641)) % 151.33/151.69 (step @p643 :rule ho_cong :premises (@p9 @p642)) % 151.33/151.69 (step @p644 :rule ho_cong :premises (@p643 @p279)) % 151.33/151.69 (step @p645 :rule trans :premises (@p644 @p640)) % 151.33/151.69 (step @p646 :rule cong :premises (@p645) :args (@t52)) % 151.33/151.69 (step @p647 :rule trans :premises (@p14 @p646)) % 151.33/151.69 (step @p648 :rule ho_cong :premises (@p647 @p620)) % 151.33/151.69 (step @p649 :rule ho_cong :premises (@p648 @p617)) % 151.33/151.69 (step @p650 :rule refl :args (@t23)) % 151.33/151.69 (step @p651 :rule ho_cong :premises (@p569 @p650)) % 151.33/151.69 (step @p652 :rule ho_cong :premises (@p614 @p651)) % 151.33/151.69 (step @p653 :rule ho_cong :premises (@p652 @p570)) % 151.33/151.69 (step @p654 :rule ho_cong :premises (@p569 @p653)) % 151.33/151.69 (step @p655 :rule ho_cong :premises (@p618 @p651)) % 151.33/151.69 (step @p656 :rule ho_cong :premises (@p569 @p655)) % 151.33/151.69 (step @p657 :rule ho_cong :premises (@p647 @p656)) % 151.33/151.69 (step @p658 :rule ho_cong :premises (@p657 @p654)) % 151.33/151.69 (step @p659 :rule ho_cong :premises (@p658 @p279)) % 151.33/151.69 (step @p660 :rule cong :premises (@p659) :args (@t26)) % 151.33/151.69 (step @p661 :rule ho_cong :premises (@p587 @p660)) % 151.33/151.69 (step @p662 :rule ho_cong :premises (@p569 @p661)) % 151.33/151.69 (step @p663 :rule ho_cong :premises (@p614 @p662)) % 151.33/151.69 (step @p664 :rule ho_cong :premises (@p663 @p649)) % 151.33/151.69 (step @p665 :rule ho_cong :premises (@p569 @p664)) % 151.33/151.69 (step @p666 :rule refl :args (@t219)) % 151.33/151.69 (step @p667 :rule refl :args (@t32)) % 151.33/151.69 (step @p668 :rule cong :premises (@p667 @p666) :args ((= @t32 @t219))) % 151.33/151.69 (step @p669 :rule symm :premises (@p668)) % 151.33/151.69 (step @p670 :rule eq_resolve :premises (@p667 @p669)) % 151.33/151.69 (step @p671 :rule cong :premises (@p670) :args (@t97)) % 151.33/151.69 (step @p672 :rule cong :premises (@p671) :args (@t99)) % 151.33/151.69 (step @p673 :rule trans :premises (@p33 @p672)) % 151.33/151.69 (step @p674 :rule ho_cong :premises (@p673 @p665)) % 151.33/151.69 (step @p675 :rule cong :premises (@p674) :args (@t27)) % 151.33/151.69 (step @p676 :rule trans :premises (@p675 @p553)) % 151.33/151.69 (step @p677 :rule trans :premises (@p676 @p128)) % 151.33/151.69 (step @p678 :rule eq_resolve :premises (@p6 @p677)) % 151.33/151.69 (step @p679 :rule skolemize :premises (@p678)) % 151.33/151.69 (step @p680 :rule bool-double-not-elim :args (@t577)) % 151.33/151.69 (step @p681 :rule refl :args (@t600)) % 151.33/151.69 (step @p682 :rule nary_cong :premises (@p681 @p680) :args ((or @t600 (not @t597)))) % 151.33/151.69 (step @p683 :rule cnf_or_neg :args (@t600 1)) % 151.33/151.69 (step @p684 :rule eq_resolve :premises (@p683 @p682)) % 151.33/151.69 (step @p685 :rule reordering :premises (@p684) :args ((or @t577 @t600))) % 151.33/151.69 (step @p686 :rule chain_m_resolution :premises (@p685 @p679) :args (@t577 @t187 @t601)) % 151.33/151.69 (step @p687 :rule instantiate :premises (@p686) :args ((@list @t160 @t181 @t598 @t158 @t159 @t163))) % 151.33/151.69 (step @p688 :rule instantiate :premises (@p53) :args (@t179)) % 151.33/151.69 (step @p689 :rule cnf_or_pos :args (@t609)) % 151.33/151.69 (step @p690 :rule reordering :premises (@p689) :args ((or @t608 @t185 @t606 (not @t609)))) % 151.33/151.69 (step @p691 :rule chain_m_resolution :premises (@p690 @p688 @p100 @p687) :args (@t606 @t610 (@list @t607 @t183 @t609))) % 151.33/151.69 (step @p692 :rule cnf_and_pos :args (@t606 1)) % 151.33/151.69 (step @p693 :rule reordering :premises (@p692) :args ((or @t605 (not @t606)))) % 151.33/151.69 (step @p694 :rule chain_m_resolution :premises (@p693 @p691) :args (@t605 @t611 (@list @t606))) % 151.33/151.69 (step @p695 :rule cnf_or_pos :args (@t605)) % 151.33/151.69 (step @p696 :rule reordering :premises (@p695) :args ((or @t170 @t167 @t164 @t604 (not @t605)))) % 151.33/151.69 (step @p697 :rule refl :args (@t617)) % 151.33/151.69 (step @p698 :rule bool-double-not-elim :args (@t603)) % 151.33/151.69 (step @p699 :rule nary_cong :premises (@p698 @p697) :args ((or (not @t604) @t617))) % 151.33/151.69 (assume-push @p840 @t604) % 151.33/151.69 (step @p701 :rule skolemize :premises (@p840)) % 151.33/151.69 (step-pop @p841 :rule scope :premises (@p701)) % 151.33/151.69 (step @p702 :rule process_scope :premises (@p841) :args (@t617)) % 151.33/151.69 (step @p704 :rule implies_elim :premises (@p702)) % 151.33/151.69 (step @p705 :rule eq_resolve :premises (@p704 @p699)) % 151.33/151.69 (step @p706 :rule bool-double-not-elim :args (@t614)) % 151.33/151.69 (step @p707 :rule refl :args (@t616)) % 151.33/151.69 (step @p708 :rule nary_cong :premises (@p707 @p706) :args ((or @t616 (not @t615)))) % 151.33/151.69 (step @p709 :rule cnf_or_neg :args (@t616 0)) % 151.33/151.69 (step @p710 :rule eq_resolve :premises (@p709 @p708)) % 151.33/151.69 (step @p711 :rule reordering :premises (@p710) :args ((or @t614 @t616))) % 151.33/151.69 (step @p712 :rule cnf_or_neg :args (@t616 1)) % 151.33/151.69 (step @p713 :rule instantiate :premises (@p53) :args ((@list @t159))) % 151.33/151.69 (step @p714 :rule cnf_or_pos :args (@t621)) % 151.33/151.69 (step @p715 :rule reordering :premises (@p714) :args ((or @t620 @t618 @t615 @t613 (not @t621)))) % 151.33/151.69 (assume-push @p842 @t168) % 151.33/151.69 (step @p717 :rule instantiate :premises (@p842) :args ((@list @t159 @t181 @t612))) % 151.33/151.69 (step-pop @p843 :rule scope :premises (@p717)) % 151.33/151.69 (step @p718 :rule process_scope :premises (@p843) :args (@t621)) % 151.33/151.69 (step @p720 :rule implies_elim :premises (@p718)) % 151.33/151.69 (step @p721 :rule chain_m_resolution :premises (@p720 @p715 @p713 @p712 @p711 @p705 @p696 @p694 @p127 @p125 @p100 @p71 @p70 @p65 @p60) :args (@t171 (@list true false true false true true false false false false true false false false) (@list @t621 @t619 @t613 @t614 @t616 @t603 @t605 @t192 @t193 @t183 @t164 @t166 @t168 @t162))) % 151.33/151.69 (step @p722 :rule cnf_or_neg :args (@t600 2)) % 151.33/151.69 (step @p723 :rule chain_m_resolution :premises (@p722 @p679) :args ((not @t596) @t187 @t601)) % 151.33/151.69 (step @p724 :rule cnf_and_neg :args (@t596)) % 151.33/151.69 (step @p725 :rule chain_m_resolution :premises (@p724 @p723 @p721) :args ((not @t595) (@list true false) (@list @t596 @t171))) % 151.33/151.69 (step @p726 :rule cnf_or_neg :args (@t595 5)) % 151.33/151.69 (step @p727 :rule chain_m_resolution :premises (@p726 @p725) :args ((not @t581) @t187 @t622)) % 151.33/151.69 (step @p728 :rule bool-double-not-elim :args (@t583)) % 151.33/151.69 (step @p729 :rule refl :args (@t595)) % 151.33/151.69 (step @p730 :rule nary_cong :premises (@p729 @p728) :args ((or @t595 (not @t584)))) % 151.33/151.69 (step @p731 :rule cnf_or_neg :args (@t595 4)) % 151.33/151.69 (step @p732 :rule eq_resolve :premises (@p731 @p730)) % 151.33/151.69 (step @p733 :rule reordering :premises (@p732) :args ((or @t583 @t595))) % 151.33/151.69 (step @p734 :rule chain_m_resolution :premises (@p733 @p725) :args (@t583 @t187 @t622)) % 151.33/151.69 (step @p735 :rule bool-double-not-elim :args (@t591)) % 151.33/151.69 (step @p736 :rule nary_cong :premises (@p729 @p735) :args ((or @t595 (not @t592)))) % 151.33/151.69 (step @p737 :rule cnf_or_neg :args (@t595 1)) % 151.33/151.69 (step @p738 :rule eq_resolve :premises (@p737 @p736)) % 151.33/151.69 (step @p739 :rule reordering :premises (@p738) :args ((or @t591 @t595))) % 151.33/151.69 (step @p740 :rule chain_m_resolution :premises (@p739 @p725) :args (@t591 @t187 @t622)) % 151.33/151.69 (assume-push @p844 @t591) % 151.33/151.69 (step @p742 :rule instantiate :premises (@p844) :args ((@list @t624))) % 151.33/151.69 (step-pop @p845 :rule scope :premises (@p742)) % 151.33/151.69 (step @p743 :rule process_scope :premises (@p845) :args (@t628)) % 151.33/151.69 (step @p745 :rule implies_elim :premises (@p743)) % 151.33/151.69 (step @p746 :rule chain_m_resolution :premises (@p745 @p740) :args (@t628 @t611 (@list @t591))) % 151.33/151.69 (step @p747 :rule bool-double-not-elim :args (@t589)) % 151.33/151.69 (step @p748 :rule nary_cong :premises (@p729 @p747) :args ((or @t595 (not @t590)))) % 151.33/151.69 (step @p749 :rule cnf_or_neg :args (@t595 2)) % 151.33/151.69 (step @p750 :rule eq_resolve :premises (@p749 @p748)) % 151.33/151.69 (step @p751 :rule reordering :premises (@p750) :args ((or @t589 @t595))) % 151.33/151.69 (step @p752 :rule chain_m_resolution :premises (@p751 @p725) :args (@t589 @t187 @t622)) % 151.33/151.69 (step @p753 :rule bool-double-not-elim :args (@t629)) % 151.33/151.69 (step @p754 :rule refl :args (@t631)) % 151.33/151.69 (step @p755 :rule nary_cong :premises (@p754 @p753) :args ((or @t631 (not @t630)))) % 151.33/151.69 (step @p756 :rule cnf_or_neg :args (@t631 0)) % 151.33/151.69 (step @p757 :rule eq_resolve :premises (@p756 @p755)) % 151.33/151.69 (step @p758 :rule reordering :premises (@p757) :args ((or @t629 @t631))) % 151.33/151.69 (step @p759 :rule cnf_or_neg :args (@t631 1)) % 151.33/151.69 ; trust TRUST PREPROCESS_HO_ELIM % 151.33/151.69 (step @p760 :rule trust :premises () :args ((= @t632 (forall @t83 (or (not (_ @t112 @t111 @t73)) (not (_ @t112 (_ @t110 @t109 @t73) @t79)) (_ @t112 @t111 @t79)))))) % 151.33/151.69 (step @p761 :rule beta-reduce :args ((= (_ (lambda @t71 (forall @t83 (or (not @t635) (not @t634) @t633))) tptp.rel_s4) @t632))) % 151.33/151.69 (step @p762 :rule refl :args (@t633)) % 151.33/151.69 (step @p763 :rule refl :args (@t80)) % 151.33/151.69 (step @p764 :rule cong :premises (@p763 @p762) :args ((= @t80 @t633))) % 151.33/151.69 (step @p765 :rule symm :premises (@p764)) % 151.33/151.69 (step @p766 :rule eq_resolve :premises (@p763 @p765)) % 151.33/151.69 (step @p767 :rule refl :args (@t634)) % 151.33/151.69 (step @p768 :rule refl :args (@t81)) % 151.33/151.69 (step @p769 :rule cong :premises (@p768 @p767) :args ((= @t81 @t634))) % 151.33/151.69 (step @p770 :rule symm :premises (@p769)) % 151.33/151.69 (step @p771 :rule eq_resolve :premises (@p768 @p770)) % 151.33/151.69 (step @p772 :rule cong :premises (@p771) :args (@t636)) % 151.33/151.69 (step @p773 :rule refl :args (@t635)) % 151.33/151.69 (step @p774 :rule refl :args (@t75)) % 151.33/151.69 (step @p775 :rule cong :premises (@p774 @p773) :args ((= @t75 @t635))) % 151.33/151.69 (step @p776 :rule symm :premises (@p775)) % 151.33/151.69 (step @p777 :rule eq_resolve :premises (@p774 @p776)) % 151.33/151.69 (step @p778 :rule cong :premises (@p777) :args (@t637)) % 151.33/151.69 (step @p779 :rule nary_cong :premises (@p778 @p772 @p766) :args (@t638)) % 151.33/151.69 (step @p780 :rule cong :premises (@p779) :args ((forall @t83 @t638))) % 151.33/151.69 (step @p781 :rule aci_norm :args ((= (or (or @t637 @t636) @t80) @t638))) % 151.33/151.69 (step @p782 :rule bool-and-de-morgan :args (@t75 @t81 true)) % 151.33/151.69 (step @p783 :rule nary_cong :premises (@p782 @p763) :args ((or (not @t82) @t80))) % 151.33/151.69 (step @p784 :rule trans :premises (@p783 @p781)) % 151.33/151.69 (step @p785 :rule bool-impl-elim :args (@t82 @t80)) % 151.33/151.69 (step @p786 :rule trans :premises (@p785 @p784)) % 151.33/151.69 (step @p787 :rule cong :premises (@p786) :args (@t84)) % 151.33/151.69 (step @p788 :rule trans :premises (@p787 @p780)) % 151.33/151.69 (step @p789 :rule cong :premises (@p788) :args (@t85)) % 151.33/151.69 (step @p790 :rule trans :premises (@p26 @p789)) % 151.33/151.69 (step @p791 :rule ho_cong :premises (@p790 @p41)) % 151.33/151.69 (step @p792 :rule trans :premises (@p791 @p761)) % 151.33/151.69 (step @p793 :rule trans :premises (@p792 @p760)) % 151.33/151.69 (step @p794 :rule eq_resolve :premises (@p4 @p793)) % 151.33/151.69 (step @p795 :rule instantiate :premises (@p794) :args ((@list @t587 @t158 @t624))) % 151.33/151.69 (step @p796 :rule cnf_or_pos :args (@t639)) % 151.33/151.69 (step @p797 :rule reordering :premises (@p796) :args ((or @t590 @t630 @t626 (not @t639)))) % 151.33/151.69 (step @p798 :rule cnf_or_pos :args (@t628)) % 151.33/151.69 (step @p799 :rule reordering :premises (@p798) :args ((or @t625 @t627 @t640))) % 151.33/151.69 (step @p800 :rule chain_m_resolution :premises (@p799 @p797 @p795 @p759 @p758) :args ((or @t590 @t631 @t640) (@list false false true false) (@list @t626 @t639 @t625 @t629))) % 151.33/151.69 (step @p801 :rule chain_m_resolution :premises (@p800 @p752 @p746) :args (@t631 (@list false false) (@list @t589 @t628))) % 151.33/151.69 (step @p802 :rule refl :args (@t641)) % 151.33/151.69 (step @p803 :rule bool-double-not-elim :args (@t623)) % 151.33/151.69 (step @p804 :rule nary_cong :premises (@p803 @p802) :args ((or (not @t642) @t641))) % 151.33/151.69 (assume-push @p846 @t642) % 151.33/151.69 (step @p806 :rule skolemize :premises (@p846)) % 151.33/151.69 (step-pop @p847 :rule scope :premises (@p806)) % 151.33/151.69 (step @p807 :rule process_scope :premises (@p847) :args (@t641)) % 151.33/151.69 (step @p809 :rule implies_elim :premises (@p807)) % 151.33/151.69 (step @p810 :rule eq_resolve :premises (@p809 @p804)) % 151.33/151.69 (step @p811 :rule chain_m_resolution :premises (@p810 @p801) :args (@t623 @t611 (@list @t631))) % 151.33/151.69 (step @p812 :rule instantiate :premises (@p686) :args ((@list @t158 @t579 @t158 @t578 @t158 @t578))) % 151.33/151.69 (step @p813 :rule instantiate :premises (@p794) :args ((@list @t160 @t587 @t158))) % 151.33/151.69 (step @p814 :rule bool-double-not-elim :args (@t593)) % 151.33/151.69 (step @p815 :rule nary_cong :premises (@p729 @p814) :args ((or @t595 (not @t594)))) % 151.33/151.69 (step @p816 :rule cnf_or_neg :args (@t595 0)) % 151.33/151.69 (step @p817 :rule eq_resolve :premises (@p816 @p815)) % 151.33/151.69 (step @p818 :rule reordering :premises (@p817) :args ((or @t593 @t595))) % 151.33/151.69 (step @p819 :rule chain_m_resolution :premises (@p818 @p725) :args (@t593 @t187 @t622)) % 151.33/151.69 (step @p820 :rule cnf_or_pos :args (@t644)) % 151.33/151.69 (step @p821 :rule reordering :premises (@p820) :args ((or @t594 @t590 @t643 (not @t644)))) % 151.33/151.69 (step @p822 :rule chain_m_resolution :premises (@p821 @p819 @p752 @p813) :args (@t643 @t610 (@list @t593 @t589 @t644))) % 151.33/151.69 (step @p823 :rule bool-double-not-elim :args (@t585)) % 151.33/151.69 (step @p824 :rule nary_cong :premises (@p729 @p823) :args ((or @t595 (not @t586)))) % 151.33/151.69 (step @p825 :rule cnf_or_neg :args (@t595 3)) % 151.33/151.69 (step @p826 :rule eq_resolve :premises (@p825 @p824)) % 151.33/151.69 (step @p827 :rule reordering :premises (@p826) :args ((or @t585 @t595))) % 151.33/151.69 (step @p828 :rule chain_m_resolution :premises (@p827 @p725) :args (@t585 @t187 @t622)) % 151.33/151.69 (step @p829 :rule cnf_or_pos :args (@t650)) % 151.33/151.69 (step @p830 :rule reordering :premises (@p829) :args ((or @t586 @t649 @t648 (not @t650)))) % 151.33/151.69 (step @p831 :rule chain_m_resolution :premises (@p830 @p828 @p822 @p812) :args (@t648 @t610 (@list @t585 @t643 @t650))) % 151.33/151.69 (step @p832 :rule cnf_and_pos :args (@t648 0)) % 151.33/151.69 (step @p833 :rule reordering :premises (@p832) :args ((or @t647 (not @t648)))) % 151.33/151.69 (step @p834 :rule chain_m_resolution :premises (@p833 @p831) :args (@t647 @t611 (@list @t648))) % 151.33/151.69 (step @p835 :rule cnf_or_pos :args (@t647)) % 151.33/151.69 (step @p836 :rule reordering :premises (@p835) :args ((or @t584 @t581 @t646 @t642 (not @t647)))) % 151.33/151.69 (step @p837 false :rule chain_m_resolution :premises (@p836 @p834 @p811 @p734 @p727 @p54) :args (false (@list false false false true false) (@list @t647 @t623 @t583 @t581 @t645))) % 151.33/151.69 ) % 151.33/151.69 % SZS output end Proof % 151.33/151.69 % cvc5 exiting %------------------------------------------------------------------------------