%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA033^7 : 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 : n014.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 08:43:27 AM UTC 2026 % Result : Theorem 0.62s 0.87s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA033^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:00:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.62/0.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.62/0.87 % SZS status Theorem % 0.62/0.87 % SZS output start Proof % 0.62/0.87 ( % 0.62/0.87 (declare-sort tptp.mu 0) % 0.62/0.87 (declare-sort $$unsorted 0) % 0.62/0.87 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.open (-> tptp.mu $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.combo (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.h (-> tptp.mu $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.closed (-> tptp.mu $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.d tptp.mu) % 0.62/0.87 (declare-const tptp.n tptp.mu) % 0.62/0.87 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.o tptp.mu) % 0.62/0.87 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.62/0.87 (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)))))) % 0.62/0.87 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.62/0.87 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.62/0.87 (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))))))) % 0.62/0.87 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.62/0.87 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.62/0.87 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.62/0.87 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.62/0.87 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.62/0.87 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.62/0.87 (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)))))) % 0.62/0.87 (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)))))))) % 0.62/0.87 (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)))))) % 0.62/0.87 (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)))))) % 0.62/0.87 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.62/0.87 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.62/0.87 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.62/0.87 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.62/0.87 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.62/0.87 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.62/0.87 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.62/0.87 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.62/0.87 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.62/0.87 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.62/0.87 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.62/0.87 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.62/0.87 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.62/0.87 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.62/0.87 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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)))))))) % 0.62/0.87 (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))))) % 0.62/0.87 (define @t1 () (@var "V" $$unsorted)) % 0.62/0.87 (define @t2 () (@var "X" tptp.mu)) % 0.62/0.87 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.62/0.87 (define @t4 () (_ @t3 @t1)) % 0.62/0.87 (define @t5 () (@list @t2)) % 0.62/0.87 (define @t6 () (@list @t1)) % 0.62/0.87 (define @t7 () (@var "W" $$unsorted)) % 0.62/0.87 (define @t8 () (_ @t3 @t7)) % 0.62/0.87 (define @t9 () (_ (_ tptp.rel_s4 @t1) @t7)) % 0.62/0.87 (define @t10 () (and @t4 @t9)) % 0.62/0.87 (define @t11 () (@list @t2 @t1 @t7)) % 0.62/0.87 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.62/0.87 (define @t13 () (_ (_ tptp.exists_in_world tptp.d) @t1)) % 0.62/0.87 (define @t14 () (forall @t6 @t13)) % 0.62/0.87 (define @t15 () (@var "__flatten_var_0" $$unsorted)) % 0.62/0.87 (define @t16 () (@var "S" tptp.mu)) % 0.62/0.87 (define @t17 () (_ tptp.closed @t16)) % 0.62/0.87 (define @t18 () (_ tptp.h tptp.o)) % 0.62/0.87 (define @t19 () (@var "V" tptp.mu)) % 0.62/0.87 (define @t20 () (_ (_ tptp.combo @t16) @t19)) % 0.62/0.87 (define @t21 () (_ tptp.mand @t17)) % 0.62/0.87 (define @t22 () (_ tptp.open @t16)) % 0.62/0.87 (define @t23 () (@var "O" tptp.mu)) % 0.62/0.87 (define @t24 () (_ tptp.h @t23)) % 0.62/0.87 (define @t25 () (@list @t23 @t15)) % 0.62/0.87 (define @t26 () (lambda @t25 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t21 (_ (_ tptp.mand @t20) @t24))) (_ tptp.mbox_s4 @t22)))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t21 (_ (_ tptp.mand (_ tptp.mnot @t20)) @t18))) (_ tptp.mbox_s4 @t17)))) @t15))) % 0.62/0.87 (define @t27 () (@list @t19 @t15)) % 0.62/0.87 (define @t28 () (lambda @t27 (_ (_ tptp.mexists_ind @t26) @t15))) % 0.62/0.87 (define @t29 () (@list @t16 @t15)) % 0.62/0.87 (define @t30 () (lambda @t29 (_ (_ tptp.mforall_ind @t28) @t15))) % 0.62/0.87 (define @t31 () (_ tptp.closed tptp.d)) % 0.62/0.87 (define @t32 () (_ tptp.combo tptp.d)) % 0.62/0.87 (define @t33 () (_ @t32 tptp.n)) % 0.62/0.87 (define @t34 () (lambda @t29 (_ (_ tptp.mnot (_ (_ tptp.mand @t22) @t17)) @t15))) % 0.62/0.87 (define @t35 () (_ @t32 @t19)) % 0.62/0.87 (define @t36 () (lambda @t27 (_ (_ tptp.mbox_s4 @t35) @t15))) % 0.62/0.87 (define @t37 () (_ tptp.open tptp.d)) % 0.62/0.87 (define @t38 () (lambda @t25 (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ (_ tptp.mand @t35) @t24))) (_ tptp.mbox_s4 @t37)) @t15))) % 0.62/0.87 (define @t39 () (lambda @t27 (_ (_ tptp.mexists_ind @t38) @t15))) % 0.62/0.87 (define @t40 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mexists_ind @t39))))) % 0.62/0.87 (define @t41 () (@var "Y" (-> $$unsorted Bool))) % 0.62/0.87 (define @t42 () (@var "X" (-> $$unsorted Bool))) % 0.62/0.87 (define @t43 () (lambda (@list @t42 @t41 @t7) (= (_ @t42 @t7) (_ @t41 @t7)))) % 0.62/0.87 (define @t44 () (@var "Phi" (-> $$unsorted Bool))) % 0.62/0.87 (define @t45 () (_ @t44 @t7)) % 0.62/0.87 (define @t46 () (not @t45)) % 0.62/0.87 (define @t47 () (@list @t44 @t7)) % 0.62/0.87 (define @t48 () (lambda @t47 @t46)) % 0.62/0.87 (define @t49 () (@var "Psi" (-> $$unsorted Bool))) % 0.62/0.87 (define @t50 () (_ @t49 @t7)) % 0.62/0.87 (define @t51 () (lambda (@list @t44 @t49 @t7) (or @t45 @t50))) % 0.62/0.87 (define @t52 () (_ @t44 @t1)) % 0.62/0.87 (define @t53 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.62/0.87 (define @t54 () (lambda (@list @t53 @t44 @t7) (forall @t6 (or (not (_ (_ @t53 @t7) @t1)) @t52)))) % 0.62/0.87 (define @t55 () (@var "P" (-> $$unsorted Bool))) % 0.62/0.87 (define @t56 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.62/0.87 (define @t57 () (_ @t56 @t55)) % 0.62/0.87 (define @t58 () (lambda (@list @t56 @t7) (forall (@list @t55) (_ @t57 @t7)))) % 0.62/0.87 (define @t59 () (@list @t7)) % 0.62/0.87 (define @t60 () (lambda @t59 true)) % 0.62/0.87 (define @t61 () (_ tptp.mnot @t49)) % 0.62/0.87 (define @t62 () (_ tptp.mnot @t44)) % 0.62/0.87 (define @t63 () (_ tptp.mor @t62)) % 0.62/0.87 (define @t64 () (@list @t44 @t49 @t15)) % 0.62/0.87 (define @t65 () (lambda @t64 (_ (_ tptp.mnot (_ @t63 @t61)) @t15))) % 0.62/0.87 (define @t66 () (lambda @t64 (_ (_ @t63 @t49) @t15))) % 0.62/0.87 (define @t67 () (lambda @t64 (_ (_ (_ tptp.mor @t61) @t44) @t15))) % 0.62/0.87 (define @t68 () (lambda @t64 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t44) @t49)) (_ (_ tptp.mimplies @t49) @t44)) @t15))) % 0.62/0.87 (define @t69 () (lambda @t64 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t44) @t49)) @t15))) % 0.62/0.87 (define @t70 () (lambda (@list @t53 @t44 @t15) (_ (_ tptp.mnot (_ (_ tptp.mbox @t53) @t62)) @t15))) % 0.62/0.87 (define @t71 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.62/0.87 (define @t72 () (_ @t71 @t2)) % 0.62/0.87 (define @t73 () (_ @t72 @t7)) % 0.62/0.87 (define @t74 () (forall @t5 (=> @t8 @t73))) % 0.62/0.87 (define @t75 () (@list @t71 @t7)) % 0.62/0.87 (define @t76 () (lambda @t75 @t74)) % 0.62/0.87 (define @t77 () (@list @t2 @t15)) % 0.62/0.87 (define @t78 () (lambda @t77 (_ (_ tptp.mnot @t72) @t15))) % 0.62/0.87 (define @t79 () (@list @t71 @t15)) % 0.62/0.87 (define @t80 () (lambda @t79 (_ (_ tptp.mnot (_ tptp.mforall_ind @t78)) @t15))) % 0.62/0.87 (define @t81 () (lambda (@list @t56 @t15) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t55 @t15) (_ (_ tptp.mnot @t57) @t15)))) @t15))) % 0.62/0.87 (define @t82 () (@var "S" $$unsorted)) % 0.62/0.87 (define @t83 () (_ @t53 @t82)) % 0.62/0.87 (define @t84 () (_ @t83 @t82)) % 0.62/0.87 (define @t85 () (@list @t82)) % 0.62/0.87 (define @t86 () (forall @t85 @t84)) % 0.62/0.87 (define @t87 () (@list @t53)) % 0.62/0.87 (define @t88 () (lambda @t87 @t86)) % 0.62/0.87 (define @t89 () (@var "T" $$unsorted)) % 0.62/0.87 (define @t90 () (_ @t53 @t89)) % 0.62/0.87 (define @t91 () (_ @t83 @t89)) % 0.62/0.87 (define @t92 () (lambda @t87 (forall (@list @t82 @t89) (=> @t91 (_ @t90 @t82))))) % 0.62/0.87 (define @t93 () (@list @t89)) % 0.62/0.87 (define @t94 () (lambda @t87 (forall @t85 (exists @t93 @t91)))) % 0.62/0.87 (define @t95 () (@var "U" $$unsorted)) % 0.62/0.87 (define @t96 () (_ @t83 @t95)) % 0.62/0.87 (define @t97 () (_ @t90 @t95)) % 0.62/0.87 (define @t98 () (@list @t82 @t89 @t95)) % 0.62/0.87 (define @t99 () (lambda @t87 (forall @t98 (=> (and @t91 @t97) @t96)))) % 0.62/0.87 (define @t100 () (and @t91 @t96)) % 0.62/0.87 (define @t101 () (lambda @t87 (forall @t98 (=> @t100 @t97)))) % 0.62/0.87 (define @t102 () (= @t89 @t95)) % 0.62/0.87 (define @t103 () (lambda @t87 (forall @t98 (=> @t100 @t102)))) % 0.62/0.87 (define @t104 () (@list @t95)) % 0.62/0.87 (define @t105 () (lambda @t87 (forall @t85 (exists @t93 (and @t91 (forall @t104 (=> @t96 @t102))))))) % 0.62/0.87 (define @t106 () (_ @t53 @t95)) % 0.62/0.87 (define @t107 () (_ @t106 @t89)) % 0.62/0.87 (define @t108 () (lambda @t87 (forall @t98 (=> @t91 (exists @t104 (and @t96 @t107)))))) % 0.62/0.87 (define @t109 () (lambda @t87 (forall @t98 (=> @t100 (or @t97 @t102 @t107))))) % 0.62/0.87 (define @t110 () (lambda @t87 (forall @t98 (=> @t100 (exists @t6 (and (_ @t90 @t1) (_ @t106 @t1))))))) % 0.62/0.87 (define @t111 () (forall @t59 @t45)) % 0.62/0.87 (define @t112 () (@list @t44)) % 0.62/0.87 (define @t113 () (lambda @t112 @t111)) % 0.62/0.87 (define @t114 () (lambda @t112 (exists @t59 @t45))) % 0.62/0.87 (define @t115 () (lambda @t112 (exists @t59 @t46))) % 0.62/0.87 (define @t116 () (lambda @t112 (forall @t59 @t46))) % 0.62/0.87 (define @t117 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.62/0.87 (define @t118 () (not @t117)) % 0.62/0.87 (define @t119 () (or @t118 @t52)) % 0.62/0.87 (define @t120 () (forall @t6 @t119)) % 0.62/0.87 (define @t121 () (lambda @t47 @t120)) % 0.62/0.87 (define @t122 () (lambda (@list @t44 @t15) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t62)) @t15))) % 0.62/0.87 (define @t123 () (@var "BOUND_VARIABLE_8664" $$unsorted)) % 0.62/0.87 (define @t124 () (@var "BOUND_VARIABLE_9037" tptp.mu)) % 0.62/0.87 (define @t125 () (@var "BOUND_VARIABLE_8993" $$unsorted)) % 0.62/0.87 (define @t126 () (not (tptp.rel_s4 @t125 @t123))) % 0.62/0.87 (define @t127 () (@var "BOUND_VARIABLE_8834" tptp.mu)) % 0.62/0.87 (define @t128 () (not (tptp.h @t127 @t125))) % 0.62/0.87 (define @t129 () (@var "BOUND_VARIABLE_9039" tptp.mu)) % 0.62/0.87 (define @t130 () (not (tptp.rel_s4 @t1 @t125))) % 0.62/0.87 (define @t131 () (@list @t125 @t123)) % 0.62/0.87 (define @t132 () (not (tptp.exists_in_world @t127 @t1))) % 0.62/0.87 (define @t133 () (@list @t127)) % 0.62/0.87 (define @t134 () (@var "BOUND_VARIABLE_9043" $$unsorted)) % 0.62/0.87 (define @t135 () (@var "BOUND_VARIABLE_9041" $$unsorted)) % 0.62/0.87 (define @t136 () (and (or (not (tptp.rel_s4 @t1 @t135)) (not (tptp.closed @t124 @t135)) (tptp.combo @t124 @t129 @t135) (not (tptp.h tptp.o @t135)) (not (tptp.rel_s4 @t135 @t134)) (tptp.closed @t124 @t134)) (not (forall @t133 (or @t132 (not (forall @t131 (or @t130 (not (tptp.closed @t124 @t125)) (not (tptp.combo @t124 @t129 @t125)) @t128 @t126 (tptp.open @t124 @t123))))))))) % 0.62/0.87 (define @t137 () (not (tptp.exists_in_world @t129 @t1))) % 0.62/0.87 (define @t138 () (not (tptp.exists_in_world @t124 @t1))) % 0.62/0.87 (define @t139 () (tptp.rel_s4 @t7 @t1)) % 0.62/0.87 (define @t140 () (not @t139)) % 0.62/0.87 (define @t141 () (or @t140 @t138 @t137 @t136)) % 0.62/0.87 (define @t142 () (@list @t1 @t124 @t129 @t135 @t134)) % 0.62/0.87 (define @t143 () (forall @t142 @t141)) % 0.62/0.87 (define @t144 () (lambda @t59 @t143)) % 0.62/0.87 (define @t145 () (_ @t144 @t7)) % 0.62/0.87 (define @t146 () (forall @t59 @t145)) % 0.62/0.87 (define @t147 () (_ @t44 @t7)) % 0.62/0.87 (define @t148 () (lambda @t112 (forall @t59 @t147))) % 0.62/0.87 (define @t149 () (or @t138 @t137 @t136)) % 0.62/0.87 (define @t150 () (or @t140 @t149)) % 0.62/0.87 (define @t151 () (forall @t142 @t150)) % 0.62/0.87 (define @t152 () (@list @t124 @t129 @t135 @t134)) % 0.62/0.87 (define @t153 () (forall @t152 @t150)) % 0.62/0.87 (define @t154 () (forall @t152 @t149)) % 0.62/0.87 (define @t155 () (@var "BOUND_VARIABLE_8957" $$unsorted)) % 0.62/0.87 (define @t156 () (@var "BOUND_VARIABLE_8955" $$unsorted)) % 0.62/0.87 (define @t157 () (@var "BOUND_VARIABLE_8953" tptp.mu)) % 0.62/0.87 (define @t158 () (or @t140 @t154)) % 0.62/0.87 (define @t159 () (tptp.open @t2 @t123)) % 0.62/0.87 (define @t160 () (not (tptp.combo @t2 @t157 @t125))) % 0.62/0.87 (define @t161 () (not (tptp.closed @t2 @t125))) % 0.62/0.87 (define @t162 () (tptp.closed @t2 @t155)) % 0.62/0.87 (define @t163 () (not (tptp.rel_s4 @t156 @t155))) % 0.62/0.87 (define @t164 () (not (tptp.h tptp.o @t156))) % 0.62/0.87 (define @t165 () (tptp.combo @t2 @t157 @t156)) % 0.62/0.87 (define @t166 () (not (tptp.closed @t2 @t156))) % 0.62/0.87 (define @t167 () (tptp.exists_in_world @t2 @t1)) % 0.62/0.87 (define @t168 () (not @t167)) % 0.62/0.87 (define @t169 () (@list @t2 @t157 @t156 @t155)) % 0.62/0.87 (define @t170 () (forall @t169 (or @t168 (not (tptp.exists_in_world @t157 @t1)) (and (or (not (tptp.rel_s4 @t1 @t156)) @t166 @t165 @t164 @t163 @t162) (not (forall @t133 (or @t132 (not (forall @t131 (or @t130 @t161 @t160 @t128 @t126 @t159)))))))))) % 0.62/0.87 (define @t171 () (not (tptp.exists_in_world @t127 @t7))) % 0.62/0.87 (define @t172 () (or (not (tptp.rel_s4 @t7 @t156)) @t166 @t165 @t164 @t163 @t162)) % 0.62/0.87 (define @t173 () (not (tptp.exists_in_world @t157 @t7))) % 0.62/0.87 (define @t174 () (tptp.exists_in_world @t2 @t7)) % 0.62/0.87 (define @t175 () (not @t174)) % 0.62/0.87 (define @t176 () (not (tptp.rel_s4 @t1 @t123))) % 0.62/0.87 (define @t177 () (not (tptp.h @t127 @t1))) % 0.62/0.87 (define @t178 () (not (tptp.closed @t2 @t1))) % 0.62/0.87 (define @t179 () (@list @t1 @t123)) % 0.62/0.87 (define @t180 () (forall @t179 (or @t140 @t178 (not (tptp.combo @t2 @t157 @t1)) @t177 @t176 @t159))) % 0.62/0.87 (define @t181 () (@list @t1)) % 0.62/0.87 (define @t182 () (not @t180)) % 0.62/0.87 (define @t183 () (or @t171 @t182)) % 0.62/0.87 (define @t184 () (forall @t133 @t183)) % 0.62/0.87 (define @t185 () (not @t184)) % 0.62/0.87 (define @t186 () (and @t172 @t185)) % 0.62/0.87 (define @t187 () (or @t175 @t173 @t186)) % 0.62/0.87 (define @t188 () (forall @t169 @t187)) % 0.62/0.87 (define @t189 () (lambda @t59 @t188)) % 0.62/0.87 (define @t190 () (or @t140 (_ @t189 @t1))) % 0.62/0.87 (define @t191 () (forall @t6 @t190)) % 0.62/0.87 (define @t192 () (lambda @t59 @t191)) % 0.62/0.87 (define @t193 () (_ @t44 @t1)) % 0.62/0.87 (define @t194 () (lambda @t47 (forall @t6 (or @t140 @t193)))) % 0.62/0.87 (define @t195 () (or @t173 @t186)) % 0.62/0.87 (define @t196 () (or @t175 @t195)) % 0.62/0.87 (define @t197 () (forall @t169 @t196)) % 0.62/0.87 (define @t198 () (@list @t157 @t156 @t155)) % 0.62/0.87 (define @t199 () (forall @t198 @t196)) % 0.62/0.87 (define @t200 () (forall @t198 @t195)) % 0.62/0.87 (define @t201 () (@var "BOUND_VARIABLE_8872" $$unsorted)) % 0.62/0.87 (define @t202 () (@var "BOUND_VARIABLE_8870" $$unsorted)) % 0.62/0.87 (define @t203 () (@var "BOUND_VARIABLE_8910" tptp.mu)) % 0.62/0.87 (define @t204 () (or @t175 @t200)) % 0.62/0.87 (define @t205 () (not (tptp.rel_s4 @t202 @t201))) % 0.62/0.87 (define @t206 () (not (tptp.h tptp.o @t202))) % 0.62/0.87 (define @t207 () (not (tptp.rel_s4 @t7 @t202))) % 0.62/0.87 (define @t208 () (@list @t203 @t202 @t201)) % 0.62/0.87 (define @t209 () (forall @t208 (or (not (tptp.exists_in_world @t203 @t7)) (and (or @t207 (not (tptp.closed @t2 @t202)) (tptp.combo @t2 @t203 @t202) @t206 @t205 (tptp.closed @t2 @t201)) (not (forall @t133 (or @t171 (not (forall @t179 (or @t140 @t178 (not (tptp.combo @t2 @t203 @t1)) @t177 @t176 @t159)))))))))) % 0.62/0.87 (define @t210 () (tptp.open @t16 @t123)) % 0.62/0.87 (define @t211 () (tptp.closed @t16 @t1)) % 0.62/0.87 (define @t212 () (not @t211)) % 0.62/0.87 (define @t213 () (not (tptp.rel_s4 @t15 @t1))) % 0.62/0.87 (define @t214 () (not (tptp.exists_in_world @t127 @t15))) % 0.62/0.87 (define @t215 () (tptp.closed @t16 @t201)) % 0.62/0.87 (define @t216 () (not (tptp.closed @t16 @t202))) % 0.62/0.87 (define @t217 () (not (tptp.rel_s4 @t15 @t202))) % 0.62/0.87 (define @t218 () (tptp.combo @t16 @t2 @t1)) % 0.62/0.87 (define @t219 () (not @t218)) % 0.62/0.87 (define @t220 () (tptp.combo @t16 @t2 @t202)) % 0.62/0.87 (define @t221 () (not (tptp.exists_in_world @t2 @t15))) % 0.62/0.87 (define @t222 () (@list @t2 @t202 @t201)) % 0.62/0.87 (define @t223 () (forall @t222 (or @t221 (and (or @t217 @t216 @t220 @t206 @t205 @t215) (not (forall @t133 (or @t214 (not (forall @t179 (or @t213 @t212 @t219 @t177 @t176 @t210)))))))))) % 0.62/0.87 (define @t224 () (@list @t2)) % 0.62/0.87 (define @t225 () (lambda @t29 @t223)) % 0.62/0.87 (define @t226 () (or @t175 (_ @t225 @t2 @t7))) % 0.62/0.87 (define @t227 () (forall @t5 @t226)) % 0.62/0.87 (define @t228 () (lambda @t59 @t227)) % 0.62/0.87 (define @t229 () (_ @t71 @t2 @t7)) % 0.62/0.87 (define @t230 () (lambda @t75 (forall @t5 (or @t175 @t229)))) % 0.62/0.87 (define @t231 () (forall @t133 (or @t171 (not (forall @t179 (or @t140 @t212 @t219 @t177 @t176 @t210)))))) % 0.62/0.87 (define @t232 () (not @t231)) % 0.62/0.87 (define @t233 () (or @t207 @t216 @t220 @t206 @t205 @t215)) % 0.62/0.87 (define @t234 () (and @t233 @t232)) % 0.62/0.87 (define @t235 () (or @t175 @t234)) % 0.62/0.87 (define @t236 () (forall @t222 @t235)) % 0.62/0.87 (define @t237 () (@list @t202 @t201)) % 0.62/0.87 (define @t238 () (forall @t237 @t235)) % 0.62/0.87 (define @t239 () (forall @t237 @t232)) % 0.62/0.87 (define @t240 () (forall @t237 @t233)) % 0.62/0.87 (define @t241 () (@var "BOUND_VARIABLE_8776" $$unsorted)) % 0.62/0.87 (define @t242 () (and @t240 @t239)) % 0.62/0.87 (define @t243 () (forall @t237 @t234)) % 0.62/0.87 (define @t244 () (or @t175 @t243)) % 0.62/0.87 (define @t245 () (tptp.closed @t16 @t241)) % 0.62/0.87 (define @t246 () (not (tptp.rel_s4 @t1 @t241))) % 0.62/0.87 (define @t247 () (tptp.h tptp.o @t1)) % 0.62/0.87 (define @t248 () (not @t247)) % 0.62/0.87 (define @t249 () (@list @t1 @t241)) % 0.62/0.87 (define @t250 () (forall @t249 (or @t140 @t212 @t218 @t248 @t246 @t245))) % 0.62/0.87 (define @t251 () (not @t250)) % 0.62/0.87 (define @t252 () (not (or @t251 @t231))) % 0.62/0.87 (define @t253 () (or @t175 @t252)) % 0.62/0.87 (define @t254 () (tptp.combo @t16 @t19 @t1)) % 0.62/0.87 (define @t255 () (not @t254)) % 0.62/0.87 (define @t256 () (forall @t249 (or @t213 @t212 @t254 @t248 @t246 @t245))) % 0.62/0.87 (define @t257 () (not @t256)) % 0.62/0.87 (define @t258 () (tptp.h @t2 @t1)) % 0.62/0.87 (define @t259 () (not (forall @t179 (or @t213 @t212 @t255 (not @t258) @t176 @t210)))) % 0.62/0.87 (define @t260 () (or @t221 @t259)) % 0.62/0.87 (define @t261 () (forall @t5 @t260)) % 0.62/0.87 (define @t262 () (or @t257 @t261)) % 0.62/0.87 (define @t263 () (not @t262)) % 0.62/0.87 (define @t264 () (lambda @t27 @t263)) % 0.62/0.87 (define @t265 () (or @t175 (_ @t264 @t2 @t7))) % 0.62/0.87 (define @t266 () (forall @t5 @t265)) % 0.62/0.87 (define @t267 () (lambda @t59 @t266)) % 0.62/0.87 (define @t268 () (@list @t15)) % 0.62/0.87 (define @t269 () (or @t257 @t260)) % 0.62/0.87 (define @t270 () (or @t221 @t259 @t257)) % 0.62/0.87 (define @t271 () (or @t259 @t257)) % 0.62/0.87 (define @t272 () (tptp.h @t23 @t1)) % 0.62/0.87 (define @t273 () (not @t272)) % 0.62/0.87 (define @t274 () (forall @t179 (or @t213 @t212 @t255 @t273 @t176 @t210))) % 0.62/0.87 (define @t275 () (not @t274)) % 0.62/0.87 (define @t276 () (not (or @t275 @t257))) % 0.62/0.87 (define @t277 () (lambda @t25 @t276)) % 0.62/0.87 (define @t278 () (_ @t277 @t2 @t15)) % 0.62/0.87 (define @t279 () (not @t278)) % 0.62/0.87 (define @t280 () (or @t221 @t279)) % 0.62/0.87 (define @t281 () (forall @t5 @t280)) % 0.62/0.87 (define @t282 () (not @t281)) % 0.62/0.87 (define @t283 () (lambda @t268 @t282)) % 0.62/0.87 (define @t284 () (not (forall @t5 (or @t221 (not (_ @t71 @t2 @t15)))))) % 0.62/0.87 (define @t285 () (lambda @t79 @t284)) % 0.62/0.87 (define @t286 () (or @t140 @t212 @t254 @t248 @t246 @t245)) % 0.62/0.87 (define @t287 () (lambda @t59 (forall @t249 @t286))) % 0.62/0.87 (define @t288 () (_ @t287 @t15)) % 0.62/0.87 (define @t289 () (not @t288)) % 0.62/0.87 (define @t290 () (or @t275 @t289)) % 0.62/0.87 (define @t291 () (not @t290)) % 0.62/0.87 (define @t292 () (lambda @t268 @t291)) % 0.62/0.87 (define @t293 () (_ @t49 @t15)) % 0.62/0.87 (define @t294 () (not @t293)) % 0.62/0.87 (define @t295 () (@list @t49 @t15)) % 0.62/0.87 (define @t296 () (or @t246 @t245)) % 0.62/0.87 (define @t297 () (or @t140 @t296 @t212 @t254 @t248)) % 0.62/0.87 (define @t298 () (forall @t249 @t297)) % 0.62/0.87 (define @t299 () (@list @t241)) % 0.62/0.87 (define @t300 () (forall @t299 @t297)) % 0.62/0.87 (define @t301 () (forall @t299 @t296)) % 0.62/0.87 (define @t302 () (@var "BOUND_VARIABLE_8751" $$unsorted)) % 0.62/0.87 (define @t303 () (@list @t302)) % 0.62/0.87 (define @t304 () (or @t140 @t301 @t212 @t254 @t248)) % 0.62/0.87 (define @t305 () (tptp.closed @t16 @t302)) % 0.62/0.87 (define @t306 () (@list @t302)) % 0.62/0.87 (define @t307 () (forall @t306 (or (not (tptp.rel_s4 @t1 @t302)) @t305))) % 0.62/0.87 (define @t308 () (_ @t18 @t1)) % 0.62/0.87 (define @t309 () (not @t308)) % 0.62/0.87 (define @t310 () (_ @t20 @t1)) % 0.62/0.87 (define @t311 () (_ @t17 @t1)) % 0.62/0.87 (define @t312 () (not @t311)) % 0.62/0.87 (define @t313 () (or @t140 @t307 @t312 @t310 @t309)) % 0.62/0.87 (define @t314 () (or @t307 @t312 @t310 @t309)) % 0.62/0.87 (define @t315 () (not (_ @t18 @t15))) % 0.62/0.87 (define @t316 () (_ @t20 @t15)) % 0.62/0.87 (define @t317 () (not (_ @t17 @t15))) % 0.62/0.87 (define @t318 () (forall @t6 (or @t213 @t211))) % 0.62/0.87 (define @t319 () (or @t318 @t317 @t316 @t315)) % 0.62/0.87 (define @t320 () (lambda @t268 @t319)) % 0.62/0.87 (define @t321 () (or @t140 (_ @t320 @t1))) % 0.62/0.87 (define @t322 () (forall @t6 @t321)) % 0.62/0.87 (define @t323 () (lambda @t59 @t322)) % 0.62/0.87 (define @t324 () (lambda @t59 (forall @t6 (or @t140 @t211)))) % 0.62/0.87 (define @t325 () (_ @t324 @t15)) % 0.62/0.87 (define @t326 () (or @t325 @t317 @t316 @t315)) % 0.62/0.87 (define @t327 () (lambda @t268 @t326)) % 0.62/0.87 (define @t328 () (or @t293 @t317 @t316 @t315)) % 0.62/0.87 (define @t329 () (or @t140 @t311)) % 0.62/0.87 (define @t330 () (_ @t17 @t1)) % 0.62/0.87 (define @t331 () (or @t140 @t330)) % 0.62/0.87 (define @t332 () (forall @t6 @t331)) % 0.62/0.87 (define @t333 () (lambda @t59 @t332)) % 0.62/0.87 (define @t334 () (_ @t194 @t17)) % 0.62/0.87 (define @t335 () (or @t317 @t316 @t315)) % 0.62/0.87 (define @t336 () (not @t335)) % 0.62/0.87 (define @t337 () (lambda @t268 @t336)) % 0.62/0.87 (define @t338 () (_ @t337 @t15)) % 0.62/0.87 (define @t339 () (not @t338)) % 0.62/0.87 (define @t340 () (or @t339 @t293)) % 0.62/0.87 (define @t341 () (lambda @t295 @t340)) % 0.62/0.87 (define @t342 () (not (_ @t44 @t15))) % 0.62/0.87 (define @t343 () (or @t342 @t293)) % 0.62/0.87 (define @t344 () (lambda @t64 @t343)) % 0.62/0.87 (define @t345 () (or @t316 @t315)) % 0.62/0.87 (define @t346 () (not @t345)) % 0.62/0.87 (define @t347 () (lambda @t268 @t346)) % 0.62/0.87 (define @t348 () (_ @t347 @t15)) % 0.62/0.87 (define @t349 () (not @t348)) % 0.62/0.87 (define @t350 () (or @t317 @t349)) % 0.62/0.87 (define @t351 () (not @t350)) % 0.62/0.87 (define @t352 () (lambda @t268 @t351)) % 0.62/0.87 (define @t353 () (lambda @t295 (not (or @t317 @t294)))) % 0.62/0.87 (define @t354 () (not @t316)) % 0.62/0.87 (define @t355 () (lambda @t59 (not (_ @t20 @t7)))) % 0.62/0.87 (define @t356 () (_ @t355 @t15)) % 0.62/0.87 (define @t357 () (not @t356)) % 0.62/0.87 (define @t358 () (or @t357 @t294)) % 0.62/0.87 (define @t359 () (not @t358)) % 0.62/0.87 (define @t360 () (lambda @t295 @t359)) % 0.62/0.87 (define @t361 () (not (or @t342 @t294))) % 0.62/0.87 (define @t362 () (lambda @t64 @t361)) % 0.62/0.87 (define @t363 () (_ @t48 @t20)) % 0.62/0.87 (define @t364 () (_ @t362 @t17)) % 0.62/0.87 (define @t365 () (or @t140 @t212 @t255 @t273 @t176 @t210)) % 0.62/0.87 (define @t366 () (lambda @t59 (forall @t179 @t365))) % 0.62/0.87 (define @t367 () (_ @t366 @t15)) % 0.62/0.87 (define @t368 () (not @t367)) % 0.62/0.87 (define @t369 () (or @t368 @t294)) % 0.62/0.87 (define @t370 () (not @t369)) % 0.62/0.87 (define @t371 () (lambda @t295 @t370)) % 0.62/0.87 (define @t372 () (or @t176 @t210)) % 0.62/0.87 (define @t373 () (or @t140 @t372 @t212 @t255 @t273)) % 0.62/0.87 (define @t374 () (forall @t179 @t373)) % 0.62/0.87 (define @t375 () (@list @t123)) % 0.62/0.87 (define @t376 () (forall @t375 @t373)) % 0.62/0.87 (define @t377 () (forall @t375 @t372)) % 0.62/0.87 (define @t378 () (@var "BOUND_VARIABLE_8631" $$unsorted)) % 0.62/0.87 (define @t379 () (@list @t378)) % 0.62/0.87 (define @t380 () (or @t140 @t377 @t212 @t255 @t273)) % 0.62/0.87 (define @t381 () (tptp.open @t16 @t378)) % 0.62/0.87 (define @t382 () (@list @t378)) % 0.62/0.87 (define @t383 () (forall @t382 (or (not (tptp.rel_s4 @t1 @t378)) @t381))) % 0.62/0.87 (define @t384 () (_ @t24 @t1)) % 0.62/0.87 (define @t385 () (not @t384)) % 0.62/0.87 (define @t386 () (not @t310)) % 0.62/0.87 (define @t387 () (or @t140 @t383 @t312 @t386 @t385)) % 0.62/0.87 (define @t388 () (or @t383 @t312 @t386 @t385)) % 0.62/0.87 (define @t389 () (not (_ @t24 @t15))) % 0.62/0.87 (define @t390 () (tptp.open @t16 @t1)) % 0.62/0.87 (define @t391 () (forall @t6 (or @t213 @t390))) % 0.62/0.87 (define @t392 () (or @t391 @t317 @t354 @t389)) % 0.62/0.87 (define @t393 () (lambda @t268 @t392)) % 0.62/0.87 (define @t394 () (or @t140 (_ @t393 @t1))) % 0.62/0.87 (define @t395 () (forall @t6 @t394)) % 0.62/0.87 (define @t396 () (lambda @t59 @t395)) % 0.62/0.87 (define @t397 () (lambda @t59 (forall @t6 (or @t140 @t390)))) % 0.62/0.87 (define @t398 () (_ @t397 @t15)) % 0.62/0.87 (define @t399 () (or @t398 @t317 @t354 @t389)) % 0.62/0.87 (define @t400 () (lambda @t268 @t399)) % 0.62/0.87 (define @t401 () (or @t293 @t317 @t354 @t389)) % 0.62/0.87 (define @t402 () (_ @t22 @t1)) % 0.62/0.87 (define @t403 () (or @t140 @t402)) % 0.62/0.87 (define @t404 () (_ @t22 @t1)) % 0.62/0.87 (define @t405 () (or @t140 @t404)) % 0.62/0.87 (define @t406 () (forall @t6 @t405)) % 0.62/0.87 (define @t407 () (lambda @t59 @t406)) % 0.62/0.87 (define @t408 () (_ @t194 @t22)) % 0.62/0.87 (define @t409 () (or @t317 @t354 @t389)) % 0.62/0.87 (define @t410 () (not @t409)) % 0.62/0.87 (define @t411 () (lambda @t268 @t410)) % 0.62/0.87 (define @t412 () (_ @t411 @t15)) % 0.62/0.87 (define @t413 () (not @t412)) % 0.62/0.87 (define @t414 () (or @t413 @t293)) % 0.62/0.87 (define @t415 () (lambda @t295 @t414)) % 0.62/0.87 (define @t416 () (or @t354 @t389)) % 0.62/0.87 (define @t417 () (not @t416)) % 0.62/0.87 (define @t418 () (lambda @t268 @t417)) % 0.62/0.87 (define @t419 () (_ @t418 @t15)) % 0.62/0.87 (define @t420 () (not @t419)) % 0.62/0.87 (define @t421 () (or @t317 @t420)) % 0.62/0.87 (define @t422 () (not @t421)) % 0.62/0.87 (define @t423 () (lambda @t268 @t422)) % 0.62/0.87 (define @t424 () (lambda @t295 (not (or @t354 @t294)))) % 0.62/0.87 (define @t425 () (_ @t362 @t20)) % 0.62/0.87 (define @t426 () (lambda @t25 (_ (_ (_ @t362 (_ @t194 (_ (_ @t344 (_ @t364 (_ @t425 @t24))) @t408))) (_ @t194 (_ (_ @t344 (_ @t364 (_ (_ @t362 @t363) @t18))) @t334))) @t15))) % 0.62/0.87 (define @t427 () (lambda @t27 (_ (_ @t285 @t426) @t15))) % 0.62/0.87 (define @t428 () (not @t50)) % 0.62/0.87 (define @t429 () (or @t46 @t428)) % 0.62/0.87 (define @t430 () (lambda @t59 @t429)) % 0.62/0.87 (define @t431 () (_ @t430 @t7)) % 0.62/0.87 (define @t432 () (not @t431)) % 0.62/0.87 (define @t433 () (lambda @t59 @t432)) % 0.62/0.87 (define @t434 () (lambda @t59 @t428)) % 0.62/0.87 (define @t435 () (_ @t434 @t7)) % 0.62/0.87 (define @t436 () (or @t46 @t435)) % 0.62/0.87 (define @t437 () (lambda @t59 @t436)) % 0.62/0.87 (define @t438 () (or @t46 @t50)) % 0.62/0.87 (define @t439 () (@list @t49 @t7)) % 0.62/0.87 (define @t440 () (lambda @t439 @t438)) % 0.62/0.87 (define @t441 () (lambda @t59 @t46)) % 0.62/0.87 (define @t442 () (_ @t441 @t7)) % 0.62/0.87 (define @t443 () (or @t442 @t50)) % 0.62/0.87 (define @t444 () (lambda @t439 @t443)) % 0.62/0.87 (define @t445 () (lambda @t59 @t438)) % 0.62/0.87 (define @t446 () (forall @t5 (or @t175 (not @t229)))) % 0.62/0.87 (define @t447 () (lambda @t59 @t446)) % 0.62/0.87 (define @t448 () (_ @t447 @t7)) % 0.62/0.87 (define @t449 () (not @t448)) % 0.62/0.87 (define @t450 () (lambda @t59 @t449)) % 0.62/0.87 (define @t451 () (not @t73)) % 0.62/0.87 (define @t452 () (or @t175 @t451)) % 0.62/0.87 (define @t453 () (not (_ @t72 @t15))) % 0.62/0.87 (define @t454 () (lambda @t77 @t453)) % 0.62/0.87 (define @t455 () (_ @t454 @t2 @t7)) % 0.62/0.87 (define @t456 () (or @t175 @t455)) % 0.62/0.87 (define @t457 () (forall @t5 @t456)) % 0.62/0.87 (define @t458 () (lambda @t59 @t457)) % 0.62/0.87 (define @t459 () (lambda @t59 @t451)) % 0.62/0.88 (define @t460 () (_ @t48 @t72)) % 0.62/0.88 (define @t461 () (not @t8)) % 0.62/0.88 (define @t462 () (or @t461 @t73)) % 0.62/0.88 (define @t463 () (@var "BOUND_VARIABLE_9440" $$unsorted)) % 0.62/0.88 (define @t464 () (tptp.open tptp.d @t463)) % 0.62/0.88 (define @t465 () (@list @t463)) % 0.62/0.88 (define @t466 () (@var "BOUND_VARIABLE_9416" $$unsorted)) % 0.62/0.88 (define @t467 () (@var "BOUND_VARIABLE_9414" tptp.mu)) % 0.62/0.88 (define @t468 () (and (tptp.combo tptp.d @t2 @t466) (tptp.h @t467 @t466))) % 0.62/0.88 (define @t469 () (@list @t2 @t467 @t466)) % 0.62/0.88 (define @t470 () (not (forall @t469 (or @t168 (not (tptp.exists_in_world @t467 @t1)) (and (or (not (tptp.rel_s4 @t1 @t466)) @t468) (not (forall @t465 (or (not (tptp.rel_s4 @t1 @t463)) @t464)))))))) % 0.62/0.88 (define @t471 () (or @t140 @t470)) % 0.62/0.88 (define @t472 () (@list @t7 @t1)) % 0.62/0.88 (define @t473 () (forall @t472 @t471)) % 0.62/0.88 (define @t474 () (@quantifiers_skolemize @t473 0)) % 0.62/0.88 (define @t475 () (tptp.combo tptp.d @t2 @t1)) % 0.62/0.88 (define @t476 () (not (tptp.rel_s4 @t474 @t1))) % 0.62/0.88 (define @t477 () (@quantifiers_skolemize (forall @t5 (or (not (tptp.exists_in_world @t2 @t474)) (not (forall @t6 (or @t476 @t475))))) 0)) % 0.62/0.88 (define @t478 () (tptp.exists_in_world tptp.d @t1)) % 0.62/0.88 (define @t479 () (@list @t474)) % 0.62/0.88 (define @t480 () (forall @t6 (or @t213 @t475))) % 0.62/0.88 (define @t481 () (lambda @t268 (not (forall @t5 (or @t221 (not @t480)))))) % 0.62/0.88 (define @t482 () (_ @t481 @t7)) % 0.62/0.88 (define @t483 () (forall @t59 @t482)) % 0.62/0.88 (define @t484 () (tptp.combo tptp.d @t19 @t1)) % 0.62/0.88 (define @t485 () (forall @t6 (or @t213 @t484))) % 0.62/0.88 (define @t486 () (lambda @t27 @t485)) % 0.62/0.88 (define @t487 () (_ @t486 @t2 @t15)) % 0.62/0.88 (define @t488 () (not @t487)) % 0.62/0.88 (define @t489 () (or @t221 @t488)) % 0.62/0.88 (define @t490 () (forall @t5 @t489)) % 0.62/0.88 (define @t491 () (not @t490)) % 0.62/0.88 (define @t492 () (lambda @t268 @t491)) % 0.62/0.88 (define @t493 () (_ @t35 @t1)) % 0.62/0.88 (define @t494 () (or @t140 @t493)) % 0.62/0.88 (define @t495 () (_ @t35 @t1)) % 0.62/0.88 (define @t496 () (or @t140 @t495)) % 0.62/0.88 (define @t497 () (forall @t6 @t496)) % 0.62/0.88 (define @t498 () (lambda @t59 @t497)) % 0.62/0.88 (define @t499 () (_ @t194 @t35)) % 0.62/0.88 (define @t500 () (tptp.exists_in_world @t477 @t474)) % 0.62/0.88 (define @t501 () (forall @t6 (or @t476 (tptp.combo tptp.d @t477 @t1)))) % 0.62/0.88 (define @t502 () (not @t501)) % 0.62/0.88 (define @t503 () (not @t500)) % 0.62/0.88 (define @t504 () (or @t503 @t502)) % 0.62/0.88 (define @t505 () (@list true)) % 0.62/0.88 (define @t506 () (@list @t504)) % 0.62/0.88 (define @t507 () (_ @t53 @t82 @t82)) % 0.62/0.88 (define @t508 () (tptp.open tptp.d @t123)) % 0.62/0.88 (define @t509 () (not (tptp.combo tptp.d @t477 @t125))) % 0.62/0.88 (define @t510 () (not (tptp.closed tptp.d @t125))) % 0.62/0.88 (define @t511 () (not (tptp.rel_s4 @t474 @t125))) % 0.62/0.88 (define @t512 () (forall @t133 (or (not (tptp.exists_in_world @t127 @t474)) (not (forall @t131 (or @t511 @t510 @t509 @t128 @t126 @t508)))))) % 0.62/0.88 (define @t513 () (not @t512)) % 0.62/0.88 (define @t514 () (tptp.closed tptp.d @t474)) % 0.62/0.88 (define @t515 () (tptp.rel_s4 @t474 @t474)) % 0.62/0.88 (define @t516 () (not @t515)) % 0.62/0.88 (define @t517 () (and (or @t516 (not @t514) (tptp.combo tptp.d @t477 @t474) (not (tptp.h tptp.o @t474)) @t516 @t514) @t513)) % 0.62/0.88 (define @t518 () (tptp.exists_in_world tptp.d @t474)) % 0.62/0.88 (define @t519 () (not @t518)) % 0.62/0.88 (define @t520 () (or @t516 @t519 @t503 @t517)) % 0.62/0.88 (define @t521 () (@list false false false false)) % 0.62/0.88 (define @t522 () (@quantifiers_skolemize @t512 0)) % 0.62/0.88 (define @t523 () (forall @t131 (or @t511 @t510 @t509 (not (tptp.h @t522 @t125)) @t126 @t508))) % 0.62/0.88 (define @t524 () (not @t523)) % 0.62/0.88 (define @t525 () (tptp.exists_in_world @t522 @t474)) % 0.62/0.88 (define @t526 () (not @t525)) % 0.62/0.88 (define @t527 () (or @t526 @t524)) % 0.62/0.88 (define @t528 () (@list @t527)) % 0.62/0.88 (define @t529 () (@quantifiers_skolemize @t473 1)) % 0.62/0.88 (define @t530 () (@var "BOUND_VARIABLE_9205" tptp.mu)) % 0.62/0.88 (define @t531 () (not (tptp.closed @t530 @t1))) % 0.62/0.88 (define @t532 () (not (tptp.open @t530 @t1))) % 0.62/0.88 (define @t533 () (not (tptp.exists_in_world @t530 @t1))) % 0.62/0.88 (define @t534 () (or @t140 @t533 @t532 @t531)) % 0.62/0.88 (define @t535 () (@list @t1 @t530)) % 0.62/0.88 (define @t536 () (forall @t535 @t534)) % 0.62/0.88 (define @t537 () (lambda @t59 @t536)) % 0.62/0.88 (define @t538 () (_ @t537 @t7)) % 0.62/0.88 (define @t539 () (forall @t59 @t538)) % 0.62/0.88 (define @t540 () (or @t533 @t532 @t531)) % 0.62/0.88 (define @t541 () (or @t140 @t540)) % 0.62/0.88 (define @t542 () (forall @t535 @t541)) % 0.62/0.88 (define @t543 () (@list @t530)) % 0.62/0.88 (define @t544 () (forall @t543 @t541)) % 0.62/0.88 (define @t545 () (forall @t543 @t540)) % 0.62/0.88 (define @t546 () (or @t140 @t545)) % 0.62/0.88 (define @t547 () (forall @t5 (or @t168 (not (tptp.open @t2 @t1)) @t178))) % 0.62/0.88 (define @t548 () (tptp.closed @t2 @t7)) % 0.62/0.88 (define @t549 () (tptp.open @t2 @t7)) % 0.62/0.88 (define @t550 () (lambda @t59 (forall @t5 (or @t175 (not @t549) (not @t548))))) % 0.62/0.88 (define @t551 () (_ @t550 @t1)) % 0.62/0.88 (define @t552 () (or @t140 @t551)) % 0.62/0.88 (define @t553 () (forall @t6 @t552)) % 0.62/0.88 (define @t554 () (lambda @t59 @t553)) % 0.62/0.88 (define @t555 () (_ (_ tptp.closed @t2) @t7)) % 0.62/0.88 (define @t556 () (not @t555)) % 0.62/0.88 (define @t557 () (_ (_ tptp.open @t2) @t7)) % 0.62/0.88 (define @t558 () (not @t557)) % 0.62/0.88 (define @t559 () (or @t175 @t558 @t556)) % 0.62/0.88 (define @t560 () (or @t558 @t556)) % 0.62/0.88 (define @t561 () (not (_ @t22 @t15))) % 0.62/0.88 (define @t562 () (or @t561 @t317)) % 0.62/0.88 (define @t563 () (lambda @t29 @t562)) % 0.62/0.88 (define @t564 () (_ @t563 @t2 @t7)) % 0.62/0.88 (define @t565 () (or @t175 @t564)) % 0.62/0.88 (define @t566 () (forall @t5 @t565)) % 0.62/0.88 (define @t567 () (lambda @t59 @t566)) % 0.62/0.88 (define @t568 () (or (not (_ @t22 @t7)) (not (_ @t17 @t7)))) % 0.62/0.88 (define @t569 () (lambda @t268 (not @t562))) % 0.62/0.88 (define @t570 () (_ @t569 @t7)) % 0.62/0.88 (define @t571 () (not @t570)) % 0.62/0.88 (define @t572 () (lambda @t59 @t571)) % 0.62/0.88 (define @t573 () (lambda @t295 (not (or @t561 @t294)))) % 0.62/0.88 (define @t574 () (_ @t362 @t22)) % 0.62/0.88 (define @t575 () (@list @t529)) % 0.62/0.88 (define @t576 () (tptp.closed tptp.d @t1)) % 0.62/0.88 (define @t577 () (or @t140 @t576)) % 0.62/0.88 (define @t578 () (forall @t6 @t577)) % 0.62/0.88 (define @t579 () (lambda @t59 @t578)) % 0.62/0.88 (define @t580 () (_ @t579 @t7)) % 0.62/0.88 (define @t581 () (forall @t59 @t580)) % 0.62/0.88 (define @t582 () (_ @t31 @t1)) % 0.62/0.88 (define @t583 () (or @t140 @t582)) % 0.62/0.88 (define @t584 () (_ @t31 @t1)) % 0.62/0.88 (define @t585 () (or @t140 @t584)) % 0.62/0.88 (define @t586 () (forall @t6 @t585)) % 0.62/0.88 (define @t587 () (lambda @t59 @t586)) % 0.62/0.88 (define @t588 () (forall @t6 @t471)) % 0.62/0.88 (define @t589 () (lambda @t59 @t588)) % 0.62/0.88 (define @t590 () (_ @t589 @t7)) % 0.62/0.88 (define @t591 () (forall @t59 @t590)) % 0.62/0.88 (define @t592 () (or (not (tptp.rel_s4 @t15 @t466)) @t468)) % 0.62/0.88 (define @t593 () (not (tptp.exists_in_world @t467 @t15))) % 0.62/0.88 (define @t594 () (tptp.open tptp.d @t1)) % 0.62/0.88 (define @t595 () (forall @t6 (or @t213 @t594))) % 0.62/0.88 (define @t596 () (not @t595)) % 0.62/0.88 (define @t597 () (and @t592 @t596)) % 0.62/0.88 (define @t598 () (or @t221 @t593 @t597)) % 0.62/0.88 (define @t599 () (forall @t469 @t598)) % 0.62/0.88 (define @t600 () (not @t599)) % 0.62/0.88 (define @t601 () (lambda @t268 @t600)) % 0.62/0.88 (define @t602 () (or @t140 (_ @t601 @t1))) % 0.62/0.88 (define @t603 () (forall @t6 @t602)) % 0.62/0.88 (define @t604 () (lambda @t59 @t603)) % 0.62/0.88 (define @t605 () (or @t593 @t597)) % 0.62/0.88 (define @t606 () (or @t221 @t605)) % 0.62/0.88 (define @t607 () (forall @t469 @t606)) % 0.62/0.88 (define @t608 () (@list @t467 @t466)) % 0.62/0.88 (define @t609 () (forall @t608 @t606)) % 0.62/0.88 (define @t610 () (forall @t608 @t605)) % 0.62/0.88 (define @t611 () (@var "BOUND_VARIABLE_9367" $$unsorted)) % 0.62/0.88 (define @t612 () (@var "BOUND_VARIABLE_9390" tptp.mu)) % 0.62/0.88 (define @t613 () (or @t221 @t610)) % 0.62/0.88 (define @t614 () (tptp.h @t612 @t611)) % 0.62/0.88 (define @t615 () (not (tptp.rel_s4 @t15 @t611))) % 0.62/0.88 (define @t616 () (not (tptp.exists_in_world @t612 @t15))) % 0.62/0.88 (define @t617 () (@list @t612 @t611)) % 0.62/0.88 (define @t618 () (forall @t617 (or @t616 (and (or @t615 (and (tptp.combo tptp.d @t2 @t611) @t614)) @t596)))) % 0.62/0.88 (define @t619 () (tptp.combo tptp.d @t19 @t611)) % 0.62/0.88 (define @t620 () (or @t615 (and @t619 (tptp.h @t2 @t611)))) % 0.62/0.88 (define @t621 () (and @t620 @t596)) % 0.62/0.88 (define @t622 () (or @t221 @t621)) % 0.62/0.88 (define @t623 () (forall (@list @t2 @t611) @t622)) % 0.62/0.88 (define @t624 () (not @t623)) % 0.62/0.88 (define @t625 () (lambda @t27 @t624)) % 0.62/0.88 (define @t626 () (not (_ @t625 @t2 @t15))) % 0.62/0.88 (define @t627 () (or @t221 @t626)) % 0.62/0.88 (define @t628 () (forall @t5 @t627)) % 0.62/0.88 (define @t629 () (not @t628)) % 0.62/0.88 (define @t630 () (lambda @t268 @t629)) % 0.62/0.88 (define @t631 () (@list @t611)) % 0.62/0.88 (define @t632 () (forall @t631 @t622)) % 0.62/0.88 (define @t633 () (forall @t631 @t596)) % 0.62/0.88 (define @t634 () (forall @t631 @t620)) % 0.62/0.88 (define @t635 () (and @t634 @t633)) % 0.62/0.88 (define @t636 () (forall @t631 @t621)) % 0.62/0.88 (define @t637 () (or @t221 @t636)) % 0.62/0.88 (define @t638 () (forall @t6 (or @t213 (and @t484 @t258)))) % 0.62/0.88 (define @t639 () (not @t638)) % 0.62/0.88 (define @t640 () (or @t639 @t595)) % 0.62/0.88 (define @t641 () (or @t221 (not @t640))) % 0.62/0.88 (define @t642 () (and @t484 @t272)) % 0.62/0.88 (define @t643 () (forall @t6 (or @t213 @t642))) % 0.62/0.88 (define @t644 () (not @t643)) % 0.62/0.88 (define @t645 () (or @t644 @t595)) % 0.62/0.88 (define @t646 () (lambda @t25 @t645)) % 0.62/0.88 (define @t647 () (_ @t646 @t2 @t15)) % 0.62/0.88 (define @t648 () (not @t647)) % 0.62/0.88 (define @t649 () (or @t221 @t648)) % 0.62/0.88 (define @t650 () (forall @t5 @t649)) % 0.62/0.88 (define @t651 () (not @t650)) % 0.62/0.88 (define @t652 () (lambda @t268 @t651)) % 0.62/0.88 (define @t653 () (lambda @t59 (forall @t6 (or @t140 @t594)))) % 0.62/0.88 (define @t654 () (_ @t653 @t15)) % 0.62/0.88 (define @t655 () (or @t644 @t654)) % 0.62/0.88 (define @t656 () (lambda @t268 @t655)) % 0.62/0.88 (define @t657 () (_ @t37 @t1)) % 0.62/0.88 (define @t658 () (or @t140 @t657)) % 0.62/0.88 (define @t659 () (_ @t37 @t1)) % 0.62/0.88 (define @t660 () (or @t140 @t659)) % 0.62/0.88 (define @t661 () (forall @t6 @t660)) % 0.62/0.88 (define @t662 () (lambda @t59 @t661)) % 0.62/0.88 (define @t663 () (_ @t194 @t37)) % 0.62/0.88 (define @t664 () (lambda @t59 (forall @t6 (or @t140 @t642)))) % 0.62/0.88 (define @t665 () (_ @t664 @t15)) % 0.62/0.88 (define @t666 () (not @t665)) % 0.62/0.88 (define @t667 () (or @t666 @t293)) % 0.62/0.88 (define @t668 () (lambda @t295 @t667)) % 0.62/0.88 (define @t669 () (and @t493 @t384)) % 0.62/0.88 (define @t670 () (or @t140 @t669)) % 0.62/0.88 (define @t671 () (not @t493)) % 0.62/0.88 (define @t672 () (not (or @t671 @t385))) % 0.62/0.88 (define @t673 () (or @t140 @t672)) % 0.62/0.88 (define @t674 () (not (_ @t35 @t15))) % 0.62/0.88 (define @t675 () (lambda @t268 (not (or @t674 @t389)))) % 0.62/0.88 (define @t676 () (_ @t675 @t1)) % 0.62/0.88 (define @t677 () (or @t140 @t676)) % 0.62/0.88 (define @t678 () (forall @t6 @t677)) % 0.62/0.88 (define @t679 () (lambda @t59 @t678)) % 0.62/0.88 (define @t680 () (lambda @t295 (not (or @t674 @t294)))) % 0.62/0.88 (define @t681 () (_ @t362 @t35)) % 0.62/0.88 (define @t682 () (lambda @t25 (_ (_ (_ @t344 (_ @t194 (_ @t681 @t24))) @t663) @t15))) % 0.62/0.88 (define @t683 () (lambda @t27 (_ (_ @t285 @t682) @t15))) % 0.62/0.88 (define @t684 () (tptp.rel_s4 @t474 @t529)) % 0.62/0.88 (define @t685 () (not (forall @t465 (or (not (tptp.rel_s4 @t529 @t463)) @t464)))) % 0.62/0.88 (define @t686 () (forall @t469 (or (not (tptp.exists_in_world @t2 @t529)) (not (tptp.exists_in_world @t467 @t529)) (and (or (not (tptp.rel_s4 @t529 @t466)) @t468) @t685)))) % 0.62/0.88 (define @t687 () (not @t686)) % 0.62/0.88 (define @t688 () (not @t684)) % 0.62/0.88 (define @t689 () (or @t688 @t687)) % 0.62/0.88 (define @t690 () (@list @t689)) % 0.62/0.88 (define @t691 () (tptp.closed tptp.d @t529)) % 0.62/0.88 (define @t692 () (or @t688 @t691)) % 0.62/0.88 (define @t693 () (@list false false)) % 0.62/0.88 (define @t694 () (not @t691)) % 0.62/0.88 (define @t695 () (tptp.open tptp.d @t529)) % 0.62/0.88 (define @t696 () (not @t695)) % 0.62/0.88 (define @t697 () (tptp.exists_in_world tptp.d @t529)) % 0.62/0.88 (define @t698 () (not @t697)) % 0.62/0.88 (define @t699 () (or @t688 @t698 @t696 @t694)) % 0.62/0.88 (define @t700 () (tptp.combo tptp.d @t477 @t529)) % 0.62/0.88 (define @t701 () (or @t688 @t700)) % 0.62/0.88 (define @t702 () (tptp.rel_s4 @t529 @t529)) % 0.62/0.88 (define @t703 () (not @t702)) % 0.62/0.88 (define @t704 () (tptp.h @t522 @t529)) % 0.62/0.88 (define @t705 () (not @t704)) % 0.62/0.88 (define @t706 () (not @t700)) % 0.62/0.88 (define @t707 () (or @t688 @t694 @t706 @t705 @t703 @t695)) % 0.62/0.88 (define @t708 () (and (tptp.combo tptp.d tptp.d @t529) @t704)) % 0.62/0.88 (define @t709 () (not @t708)) % 0.62/0.88 (define @t710 () (or @t703 @t708)) % 0.62/0.88 (define @t711 () (not @t710)) % 0.62/0.88 (define @t712 () (@list false true)) % 0.62/0.88 (define @t713 () (tptp.rel_s4 @t1 @t7)) % 0.62/0.88 (define @t714 () (not @t9)) % 0.62/0.88 (define @t715 () (not @t4)) % 0.62/0.88 (define @t716 () (or @t715 @t714 @t8)) % 0.62/0.88 (define @t717 () (tptp.exists_in_world @t522 @t529)) % 0.62/0.88 (define @t718 () (or @t526 @t688 @t717)) % 0.62/0.88 (define @t719 () (@list false false false)) % 0.62/0.88 (define @t720 () (and @t710 @t685)) % 0.62/0.88 (define @t721 () (not @t717)) % 0.62/0.88 (define @t722 () (or @t698 @t721 @t720)) % 0.62/0.88 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.62/0.88 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.62/0.88 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.62/0.88 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.62/0.88 (assume @p5 @t12) % 0.62/0.88 (assume @p6 (forall @t6 (_ (_ tptp.exists_in_world tptp.o) @t1))) % 0.62/0.88 (assume @p7 (forall @t6 (_ (_ tptp.exists_in_world tptp.n) @t1))) % 0.62/0.88 (assume @p8 @t14) % 0.62/0.88 (assume @p9 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind @t30)))) % 0.62/0.88 (assume @p10 (_ tptp.mvalid (_ tptp.mbox_s4 @t31))) % 0.62/0.88 (assume @p11 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mor @t33) (_ tptp.mnot @t33))))) % 0.62/0.88 (assume @p12 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind @t34)))) % 0.62/0.88 (assume @p13 (_ tptp.mvalid (_ tptp.mexists_ind @t36))) % 0.62/0.88 (assume @p14 @t40) % 0.62/0.88 (assume @p15 true) % 0.62/0.88 (step @p16 (= tptp.meq_prop @t43) :rule refl :args (@t43)) % 0.62/0.88 (step @p17 (= tptp.mnot @t48) :rule refl :args (@t48)) % 0.62/0.88 (step @p18 (= tptp.mor @t51) :rule refl :args (@t51)) % 0.62/0.88 (step @p19 (= tptp.mbox @t54) :rule refl :args (@t54)) % 0.62/0.88 (step @p20 (= tptp.mforall_prop @t58) :rule refl :args (@t58)) % 0.62/0.88 (step @p21 (= tptp.mtrue @t60) :rule refl :args (@t60)) % 0.62/0.88 (step @p22 (= tptp.mand @t65) :rule refl :args (@t65)) % 0.62/0.88 (step @p23 (= tptp.mimplies @t66) :rule refl :args (@t66)) % 0.62/0.88 (step @p24 (= tptp.mimplied @t67) :rule refl :args (@t67)) % 0.62/0.88 (step @p25 (= tptp.mequiv @t68) :rule refl :args (@t68)) % 0.62/0.88 (step @p26 (= tptp.mxor @t69) :rule refl :args (@t69)) % 0.62/0.88 (step @p27 (= tptp.mdia @t70) :rule refl :args (@t70)) % 0.62/0.88 (step @p28 (= tptp.mforall_ind @t76) :rule refl :args (@t76)) % 0.62/0.88 (step @p29 (= tptp.mexists_ind @t80) :rule refl :args (@t80)) % 0.62/0.88 (step @p30 (= tptp.mexists_prop @t81) :rule refl :args (@t81)) % 0.62/0.88 (step @p31 (= tptp.mreflexive @t88) :rule refl :args (@t88)) % 0.62/0.88 (step @p32 (= tptp.msymmetric @t92) :rule refl :args (@t92)) % 0.62/0.88 (step @p33 (= tptp.mserial @t94) :rule refl :args (@t94)) % 0.62/0.88 (step @p34 (= tptp.mtransitive @t99) :rule refl :args (@t99)) % 0.62/0.88 (step @p35 (= tptp.meuclidean @t101) :rule refl :args (@t101)) % 0.62/0.88 (step @p36 (= tptp.mpartially_functional @t103) :rule refl :args (@t103)) % 0.62/0.88 (step @p37 (= tptp.mfunctional @t105) :rule refl :args (@t105)) % 0.62/0.88 (step @p38 (= tptp.mweakly_dense @t108) :rule refl :args (@t108)) % 0.62/0.88 (step @p39 (= tptp.mweakly_connected @t109) :rule refl :args (@t109)) % 0.62/0.88 (step @p40 (= tptp.mweakly_directed @t110) :rule refl :args (@t110)) % 0.62/0.88 (step @p41 (= tptp.mvalid @t113) :rule refl :args (@t113)) % 0.62/0.88 (step @p42 (= tptp.msatisfiable @t114) :rule refl :args (@t114)) % 0.62/0.88 (step @p43 (= tptp.mcountersatisfiable @t115) :rule refl :args (@t115)) % 0.62/0.88 (step @p44 (= tptp.minvalid @t116) :rule refl :args (@t116)) % 0.62/0.88 (step @p45 (= tptp.mbox_s4 @t121) :rule refl :args (@t121)) % 0.62/0.88 (step @p46 (= tptp.mdia_s4 @t122) :rule refl :args (@t122)) % 0.62/0.88 (step @p47 :rule quant-merge-prenex :args ((= (forall @t59 @t143) (forall (@list @t7 @t1 @t124 @t129 @t135 @t134) @t141)))) % 0.62/0.88 (step @p48 :rule beta-reduce :args ((= @t145 @t143))) % 0.62/0.88 (step @p49 :rule cong :premises (@p48) :args (@t146)) % 0.62/0.88 (step @p50 :rule trans :premises (@p49 @p47)) % 0.62/0.88 (step @p51 :rule beta-reduce :args ((= (_ @t148 @t144) @t146))) % 0.62/0.88 (step @p52 :rule trans :premises (@p51 @p50)) % 0.62/0.88 (step @p53 :rule aci_norm :args ((= @t150 @t141))) % 0.62/0.88 (step @p54 :rule cong :premises (@p53) :args (@t151)) % 0.62/0.88 (step @p55 :rule quant-merge-prenex :args ((= (forall @t6 @t153) @t151))) % 0.62/0.88 (step @p56 :rule alpha_equiv :args (@t154 (@list @t124 @t129 @t135 @t134) (@list @t2 @t157 @t156 @t155))) % 0.62/0.88 (step @p57 :rule refl :args (@t140)) % 0.62/0.88 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t158)) % 0.62/0.88 (step @p59 :rule quant-miniscope-or :args ((= @t153 @t158))) % 0.62/0.88 (step @p60 :rule trans :premises (@p59 @p58)) % 0.62/0.88 (step @p61 :rule symm :premises (@p60)) % 0.62/0.88 (step @p62 :rule cong :premises (@p61) :args ((forall @t6 (or @t140 @t170)))) % 0.62/0.88 (step @p63 :rule trans :premises (@p62 @p55)) % 0.62/0.88 (step @p64 :rule trans :premises (@p63 @p54)) % 0.62/0.88 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t59 (forall @t169 (or @t175 @t173 (and @t172 (not (forall @t133 (or @t171 (not (forall @t131 (or (not (tptp.rel_s4 @t7 @t125)) @t161 @t160 @t128 @t126 @t159)))))))))) @t1) @t170))) % 0.62/0.88 (step @p66 :rule refl :args (@t1)) % 0.62/0.88 (step @p67 :rule alpha_equiv :args (@t180 @t181 (@list @t125))) % 0.62/0.88 (step @p68 :rule cong :premises (@p67) :args (@t182)) % 0.62/0.88 (step @p69 :rule refl :args (@t171)) % 0.62/0.88 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t183)) % 0.62/0.88 (step @p71 :rule cong :premises (@p70) :args (@t184)) % 0.62/0.88 (step @p72 :rule cong :premises (@p71) :args (@t185)) % 0.62/0.88 (step @p73 :rule refl :args (@t172)) % 0.62/0.88 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t186)) % 0.62/0.88 (step @p75 :rule refl :args (@t173)) % 0.62/0.88 (step @p76 :rule refl :args (@t175)) % 0.62/0.88 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t187)) % 0.62/0.88 (step @p78 :rule cong :premises (@p77) :args (@t188)) % 0.62/0.88 (step @p79 :rule cong :premises (@p78) :args (@t189)) % 0.62/0.88 (step @p80 :rule ho_cong :premises (@p79 @p66)) % 0.62/0.88 (step @p81 :rule trans :premises (@p80 @p65)) % 0.62/0.88 (step @p82 :rule refl :args (@t140)) % 0.62/0.88 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t190)) % 0.62/0.88 (step @p84 :rule cong :premises (@p83) :args (@t191)) % 0.62/0.88 (step @p85 :rule trans :premises (@p84 @p64)) % 0.62/0.88 (step @p86 :rule cong :premises (@p85) :args (@t192)) % 0.62/0.88 (step @p87 :rule beta-reduce :args ((= (_ @t194 @t189) @t192))) % 0.62/0.88 (step @p88 :rule trans :premises (@p87 @p86)) % 0.62/0.88 (step @p89 :rule aci_norm :args ((= @t196 @t187))) % 0.62/0.88 (step @p90 :rule cong :premises (@p89) :args (@t197)) % 0.62/0.88 (step @p91 :rule quant-merge-prenex :args ((= (forall @t5 @t199) @t197))) % 0.62/0.88 (step @p92 :rule alpha_equiv :args (@t200 (@list @t157 @t156 @t155) (@list @t203 @t202 @t201))) % 0.62/0.88 (step @p93 :rule nary_cong :premises (@p76 @p92) :args (@t204)) % 0.62/0.88 (step @p94 :rule quant-miniscope-or :args ((= @t199 @t204))) % 0.62/0.88 (step @p95 :rule trans :premises (@p94 @p93)) % 0.62/0.88 (step @p96 :rule symm :premises (@p95)) % 0.62/0.88 (step @p97 :rule cong :premises (@p96) :args ((forall @t5 (or @t175 @t209)))) % 0.62/0.88 (step @p98 :rule trans :premises (@p97 @p91)) % 0.62/0.88 (step @p99 :rule trans :premises (@p98 @p90)) % 0.62/0.88 (step @p100 :rule beta-reduce :args ((= (_ (lambda @t29 (forall @t208 (or (not (tptp.exists_in_world @t203 @t15)) (and (or @t217 @t216 (tptp.combo @t16 @t203 @t202) @t206 @t205 @t215) (not (forall @t133 (or @t214 (not (forall @t179 (or @t213 @t212 (not (tptp.combo @t16 @t203 @t1)) @t177 @t176 @t210)))))))))) @t2 @t7) @t209))) % 0.62/0.88 (step @p101 :rule refl :args (@t7)) % 0.62/0.88 (step @p102 :rule refl :args (@t2)) % 0.62/0.88 (step @p103 :rule alpha_equiv :args (@t223 @t224 (@list @t203))) % 0.62/0.88 (step @p104 :rule cong :premises (@p103) :args (@t225)) % 0.62/0.88 (step @p105 :rule ho_cong :premises (@p104 @p102 @p101)) % 0.62/0.88 (step @p106 :rule trans :premises (@p105 @p100)) % 0.62/0.88 (step @p107 :rule refl :args (@t175)) % 0.62/0.88 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t226)) % 0.62/0.88 (step @p109 :rule cong :premises (@p108) :args (@t227)) % 0.62/0.88 (step @p110 :rule trans :premises (@p109 @p99)) % 0.62/0.88 (step @p111 :rule cong :premises (@p110) :args (@t228)) % 0.62/0.88 (step @p112 :rule beta-reduce :args ((= (_ @t230 @t225) @t228))) % 0.62/0.88 (step @p113 :rule 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% 0.62/0.88 (step @p861 :rule trans :premises (@p860 @p853)) % 0.62/0.88 (step @p862 :rule beta-reduce :args ((= @t647 @t640))) % 0.62/0.88 (step @p863 :rule cong :premises (@p862) :args (@t648)) % 0.62/0.88 (step @p864 :rule nary_cong :premises (@p160 @p863) :args (@t649)) % 0.62/0.88 (step @p865 :rule cong :premises (@p864) :args (@t650)) % 0.62/0.88 (step @p866 :rule trans :premises (@p865 @p861)) % 0.62/0.88 (step @p867 :rule cong :premises (@p866) :args (@t651)) % 0.62/0.88 (step @p868 :rule cong :premises (@p867) :args (@t652)) % 0.62/0.88 (step @p869 :rule beta-reduce :args ((= (_ @t285 @t646) @t652))) % 0.62/0.88 (step @p870 :rule trans :premises (@p869 @p868)) % 0.62/0.88 (step @p871 :rule beta-reduce :args ((= (_ (lambda @t268 @t645) @t15) @t645))) % 0.62/0.88 (step @p872 :rule beta-reduce :args ((= @t654 @t595))) % 0.62/0.88 (step @p873 :rule refl :args (@t644)) % 0.62/0.88 (step @p874 :rule nary_cong :premises (@p873 @p872) :args (@t655)) % 0.62/0.88 (step @p875 :rule cong :premises (@p874) :args (@t656)) % 0.62/0.88 (step @p876 :rule beta-reduce :args ((= (_ (lambda @t295 (or @t644 @t293)) @t653) @t656))) % 0.62/0.88 (step @p877 :rule trans :premises (@p876 @p875)) % 0.62/0.88 (step @p878 :rule refl :args (@t594)) % 0.62/0.88 (step @p879 :rule refl :args (@t657)) % 0.62/0.88 (step @p880 :rule cong :premises (@p879 @p878) :args ((= @t657 @t594))) % 0.62/0.88 (step @p881 :rule symm :premises (@p880)) % 0.62/0.88 (step @p882 :rule eq_resolve :premises (@p879 @p881)) % 0.62/0.88 (step @p883 :rule nary_cong :premises (@p57 @p882) :args (@t658)) % 0.62/0.88 (step @p884 :rule cong :premises (@p883) :args ((forall @t6 @t658))) % 0.62/0.88 (step @p885 :rule refl :args (@t659)) % 0.62/0.88 (step @p886 :rule nary_cong :premises (@p82 @p885) :args (@t660)) % 0.62/0.88 (step @p887 :rule cong :premises (@p886) :args (@t661)) % 0.62/0.88 (step @p888 :rule trans :premises (@p887 @p884)) % 0.62/0.88 (step @p889 :rule cong :premises (@p888) :args (@t662)) % 0.62/0.88 (step @p890 :rule beta-reduce :args ((= @t663 @t662))) % 0.62/0.88 (step @p891 :rule trans :premises (@p890 @p889)) % 0.62/0.88 (step @p892 :rule beta-reduce :args ((= @t665 @t643))) % 0.62/0.88 (step @p893 :rule cong :premises (@p892) :args (@t666)) % 0.62/0.88 (step @p894 :rule nary_cong :premises (@p893 @p248) :args (@t667)) % 0.62/0.88 (step @p895 :rule cong :premises (@p894) :args (@t668)) % 0.62/0.88 (step @p896 :rule beta-reduce :args ((= (_ @t344 @t664) @t668))) % 0.62/0.88 (step @p897 :rule trans :premises (@p896 @p895)) % 0.62/0.88 (step @p898 :rule nary_cong :premises (@p616 @p322) :args (@t669)) % 0.62/0.88 (step @p899 :rule nary_cong :premises (@p57 @p898) :args (@t670)) % 0.62/0.88 (step @p900 :rule cong :premises (@p899) :args ((forall @t6 @t670))) % 0.62/0.88 (step @p901 :rule bool-double-not-elim :args (@t384)) % 0.62/0.88 (step @p902 :rule bool-double-not-elim :args (@t493)) % 0.62/0.88 (step @p903 :rule nary_cong :premises (@p902 @p901) :args ((and (not @t671) (not @t385)))) % 0.62/0.88 (step @p904 :rule bool-or-de-morgan :args (@t671 @t385 false)) % 0.62/0.88 (step @p905 :rule trans :premises (@p904 @p903)) % 0.62/0.88 (step @p906 :rule nary_cong :premises (@p57 @p905) :args (@t673)) % 0.62/0.88 (step @p907 :rule cong :premises (@p906) :args ((forall @t6 @t673))) % 0.62/0.88 (step @p908 :rule trans :premises (@p907 @p900)) % 0.62/0.88 (step @p909 :rule beta-reduce :args ((= @t676 @t672))) % 0.62/0.88 (step @p910 :rule nary_cong :premises (@p82 @p909) :args (@t677)) % 0.62/0.88 (step @p911 :rule cong :premises (@p910) :args (@t678)) % 0.62/0.88 (step @p912 :rule trans :premises (@p911 @p908)) % 0.62/0.88 (step @p913 :rule cong :premises (@p912) :args (@t679)) % 0.62/0.88 (step @p914 :rule beta-reduce :args ((= (_ @t194 @t675) @t679))) % 0.62/0.88 (step @p915 :rule trans :premises (@p914 @p913)) % 0.62/0.88 (step @p916 :rule beta-reduce :args ((= (_ @t680 @t24) @t675))) % 0.62/0.88 (step @p917 :rule beta-reduce :args ((= @t681 @t680))) % 0.62/0.88 (step @p918 :rule ho_cong :premises (@p917 @p388)) % 0.62/0.88 (step @p919 :rule trans :premises (@p918 @p916)) % 0.62/0.88 (step @p920 :rule ho_cong :premises (@p295 @p919)) % 0.62/0.88 (step @p921 :rule trans :premises (@p920 @p915)) % 0.62/0.88 (step @p922 :rule ho_cong :premises (@p290 @p921)) % 0.62/0.88 (step @p923 :rule trans :premises (@p922 @p897)) % 0.62/0.88 (step @p924 :rule ho_cong :premises (@p923 @p891)) % 0.62/0.88 (step @p925 :rule trans :premises (@p924 @p877)) % 0.62/0.88 (step @p926 :rule ho_cong :premises (@p925 @p115)) % 0.62/0.88 (step @p927 :rule trans :premises (@p926 @p871)) % 0.62/0.88 (step @p928 :rule cong :premises (@p927) :args (@t682)) % 0.62/0.88 (step @p929 :rule ho_cong :premises (@p407 @p928)) % 0.62/0.88 (step @p930 :rule trans :premises (@p929 @p870)) % 0.62/0.88 (step @p931 :rule ho_cong :premises (@p930 @p115)) % 0.62/0.88 (step @p932 :rule trans :premises (@p931 @p841)) % 0.62/0.88 (step @p933 :rule cong :premises (@p932) :args (@t683)) % 0.62/0.88 (step @p934 :rule ho_cong :premises (@p407 @p933)) % 0.62/0.88 (step @p935 :rule trans :premises (@p934 @p840)) % 0.62/0.88 (step @p936 :rule ho_cong :premises (@p295 @p935)) % 0.62/0.88 (step @p937 :rule trans :premises (@p936 @p812)) % 0.62/0.88 (step @p938 :rule ho_cong :premises (@p423 @p937)) % 0.62/0.88 (step @p939 :rule trans :premises (@p938 @p794)) % 0.62/0.88 (step @p940 :rule cong :premises (@p939) :args ((not (_ @t148 (_ @t194 (_ @t285 @t683)))))) % 0.62/0.88 (step @p941 :rule refl :args (@t37)) % 0.62/0.88 (step @p942 :rule ho_cong :premises (@p441 @p941)) % 0.62/0.88 (step @p943 :rule ho_cong :premises (@p485 @p633)) % 0.62/0.88 (step @p944 :rule ho_cong :premises (@p943 @p388)) % 0.62/0.88 (step @p945 :rule ho_cong :premises (@p441 @p944)) % 0.62/0.88 (step @p946 :rule ho_cong :premises (@p500 @p945)) % 0.62/0.88 (step @p947 :rule ho_cong :premises (@p946 @p942)) % 0.62/0.88 (step @p948 :rule ho_cong :premises (@p947 @p115)) % 0.62/0.88 (step @p949 :rule cong :premises (@p948) :args (@t38)) % 0.62/0.88 (step @p950 :rule ho_cong :premises (@p570 @p949)) % 0.62/0.88 (step @p951 :rule ho_cong :premises (@p950 @p115)) % 0.62/0.88 (step @p952 :rule cong :premises (@p951) :args (@t39)) % 0.62/0.88 (step @p953 :rule ho_cong :premises (@p570 @p952)) % 0.62/0.88 (step @p954 :rule ho_cong :premises (@p441 @p953)) % 0.62/0.88 (step @p955 :rule ho_cong :premises (@p586 @p954)) % 0.62/0.88 (step @p956 :rule cong :premises (@p955) :args (@t40)) % 0.62/0.88 (step @p957 :rule trans :premises (@p956 @p940)) % 0.62/0.88 (step @p958 :rule eq_resolve :premises (@p14 @p957)) % 0.62/0.88 (step @p959 :rule skolemize :premises (@p958)) % 0.62/0.88 (step @p960 :rule bool-double-not-elim :args (@t684)) % 0.62/0.88 (step @p961 :rule refl :args (@t689)) % 0.62/0.88 (step @p962 :rule nary_cong :premises (@p961 @p960) :args ((or @t689 (not @t688)))) % 0.62/0.88 (step @p963 :rule cnf_or_neg :args (@t689 0)) % 0.62/0.88 (step @p964 :rule eq_resolve :premises (@p963 @p962)) % 0.62/0.88 (step @p965 :rule reordering :premises (@p964) :args ((or @t684 @t689))) % 0.62/0.88 (step @p966 :rule chain_m_resolution :premises (@p965 @p959) :args (@t684 @t505 @t690)) % 0.62/0.88 (step @p967 :rule cnf_or_pos :args (@t692)) % 0.62/0.88 (step @p968 :rule reordering :premises (@p967) :args ((or @t688 @t691 (not @t692)))) % 0.62/0.88 (step @p969 :rule chain_m_resolution :premises (@p968 @p966 @p788) :args (@t691 @t693 (@list @t684 @t692))) % 0.62/0.88 (step @p970 :rule cnf_or_pos :args (@t699)) % 0.62/0.88 (step @p971 :rule reordering :premises (@p970) :args ((or @t688 @t694 @t698 @t696 (not @t699)))) % 0.62/0.88 (step @p972 :rule chain_m_resolution :premises (@p971 @p966 @p969 @p760 @p759) :args (@t696 @t521 (@list @t684 @t691 @t697 @t699))) % 0.62/0.88 (step @p973 :rule instantiate :premises (@p662) :args (@t575)) % 0.62/0.88 (step @p974 :rule bool-double-not-elim :args (@t501)) % 0.62/0.88 (step @p975 :rule nary_cong :premises (@p644 @p974) :args ((or @t504 (not @t502)))) % 0.62/0.88 (step @p976 :rule cnf_or_neg :args (@t504 1)) % 0.62/0.88 (step @p977 :rule eq_resolve :premises (@p976 @p975)) % 0.62/0.88 (step @p978 :rule reordering :premises (@p977) :args ((or @t501 @t504))) % 0.62/0.88 (step @p979 :rule chain_m_resolution :premises (@p978 @p642) :args (@t501 @t505 @t506)) % 0.62/0.88 (step @p980 :rule instantiate :premises (@p979) :args (@t575)) % 0.62/0.88 (step @p981 :rule cnf_or_pos :args (@t701)) % 0.62/0.88 (step @p982 :rule reordering :premises (@p981) :args ((or @t688 @t700 (not @t701)))) % 0.62/0.88 (step @p983 :rule chain_m_resolution :premises (@p982 @p966 @p980) :args (@t700 @t693 (@list @t684 @t701))) % 0.62/0.88 (step @p984 :rule cnf_or_pos :args (@t707)) % 0.62/0.88 (step @p985 :rule reordering :premises (@p984) :args ((or @t688 @t694 @t706 @t703 @t695 @t705 (not @t707)))) % 0.62/0.88 (step @p986 :rule chain_m_resolution :premises (@p985 @p966 @p969 @p983 @p973 @p972 @p678) :args (@t705 (@list false false false false true false) (@list @t684 @t691 @t700 @t702 @t695 @t707))) % 0.62/0.88 (step @p987 :rule cnf_and_pos :args (@t708 1)) % 0.62/0.88 (step @p988 :rule reordering :premises (@p987) :args ((or @t704 @t709))) % 0.62/0.88 (step @p989 :rule chain_m_resolution :premises (@p988 @p986) :args (@t709 @t505 (@list @t704))) % 0.62/0.88 (step @p990 :rule cnf_or_pos :args (@t710)) % 0.62/0.88 (step @p991 :rule reordering :premises (@p990) :args ((or @t703 @t708 @t711))) % 0.62/0.88 (step @p992 :rule chain_m_resolution :premises (@p991 @p973 @p989) :args (@t711 @t712 (@list @t702 @t708))) % 0.62/0.88 (step @p993 :rule bool-double-not-elim :args (@t686)) % 0.62/0.88 (step @p994 :rule nary_cong :premises (@p961 @p993) :args ((or @t689 (not @t687)))) % 0.62/0.88 (step @p995 :rule cnf_or_neg :args (@t689 1)) % 0.62/0.88 (step @p996 :rule eq_resolve :premises (@p995 @p994)) % 0.62/0.88 (step @p997 :rule reordering :premises (@p996) :args ((or @t686 @t689))) % 0.62/0.88 (step @p998 :rule chain_m_resolution :premises (@p997 @p959) :args (@t686 @t505 @t690)) % 0.62/0.88 (step @p999 :rule instantiate :premises (@p998) :args ((@list tptp.d @t522 @t529))) % 0.62/0.88 (step @p1000 :rule refl :args (@t713)) % 0.62/0.88 (step @p1001 :rule refl :args (@t9)) % 0.62/0.88 (step @p1002 :rule cong :premises (@p1001 @p1000) :args ((= @t9 @t713))) % 0.62/0.88 (step @p1003 :rule symm :premises (@p1002)) % 0.62/0.88 (step @p1004 :rule eq_resolve :premises (@p1001 @p1003)) % 0.62/0.88 (step @p1005 :rule cong :premises (@p1004) :args (@t714)) % 0.62/0.88 (step @p1006 :rule refl :args (@t167)) % 0.62/0.88 (step @p1007 :rule refl :args (@t4)) % 0.62/0.88 (step @p1008 :rule cong :premises (@p1007 @p1006) :args ((= @t4 @t167))) % 0.62/0.88 (step @p1009 :rule symm :premises (@p1008)) % 0.62/0.88 (step @p1010 :rule eq_resolve :premises (@p1007 @p1009)) % 0.62/0.88 (step @p1011 :rule cong :premises (@p1010) :args (@t715)) % 0.62/0.88 (step @p1012 :rule nary_cong :premises (@p1011 @p1005 @p556) :args (@t716)) % 0.62/0.88 (step @p1013 :rule cong :premises (@p1012) :args ((forall @t11 @t716))) % 0.62/0.88 (step @p1014 :rule aci_norm :args ((= (or (or @t715 @t714) @t8) @t716))) % 0.62/0.88 (step @p1015 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 0.62/0.88 (step @p1016 :rule nary_cong :premises (@p1015 @p553) :args ((or (not @t10) @t8))) % 0.62/0.88 (step @p1017 :rule trans :premises (@p1016 @p1014)) % 0.62/0.88 (step @p1018 :rule bool-impl-elim :args (@t10 @t8)) % 0.62/0.88 (step @p1019 :rule trans :premises (@p1018 @p1017)) % 0.62/0.88 (step @p1020 :rule cong :premises (@p1019) :args (@t12)) % 0.62/0.88 (step @p1021 :rule trans :premises (@p1020 @p1013)) % 0.62/0.88 (step @p1022 :rule eq_resolve :premises (@p5 @p1021)) % 0.62/0.88 (step @p1023 :rule instantiate :premises (@p1022) :args ((@list @t522 @t474 @t529))) % 0.62/0.88 (step @p1024 :rule bool-double-not-elim :args (@t525)) % 0.62/0.88 (step @p1025 :rule nary_cong :premises (@p672 @p1024) :args ((or @t527 (not @t526)))) % 0.62/0.88 (step @p1026 :rule cnf_or_neg :args (@t527 0)) % 0.62/0.88 (step @p1027 :rule eq_resolve :premises (@p1026 @p1025)) % 0.62/0.88 (step @p1028 :rule reordering :premises (@p1027) :args ((or @t525 @t527))) % 0.62/0.88 (step @p1029 :rule chain_m_resolution :premises (@p1028 @p670) :args (@t525 @t505 @t528)) % 0.62/0.88 (step @p1030 :rule cnf_or_pos :args (@t718)) % 0.62/0.88 (step @p1031 :rule reordering :premises (@p1030) :args ((or @t688 @t526 @t717 (not @t718)))) % 0.62/0.88 (step @p1032 :rule chain_m_resolution :premises (@p1031 @p966 @p1029 @p1023) :args (@t717 @t719 (@list @t684 @t525 @t718))) % 0.62/0.88 (step @p1033 :rule cnf_or_pos :args (@t722)) % 0.62/0.88 (step @p1034 :rule reordering :premises (@p1033) :args ((or @t698 @t721 @t720 (not @t722)))) % 0.62/0.88 (step @p1035 :rule chain_m_resolution :premises (@p1034 @p760 @p1032 @p999) :args (@t720 @t719 (@list @t697 @t717 @t722))) % 0.62/0.88 (step @p1036 :rule cnf_and_pos :args (@t720 0)) % 0.62/0.88 (step @p1037 :rule reordering :premises (@p1036) :args ((or @t710 (not @t720)))) % 0.62/0.88 (step @p1038 false :rule chain_m_resolution :premises (@p1037 @p1035 @p992) :args (false @t712 (@list @t720 @t710))) % 0.62/0.88 ) % 0.62/0.88 % SZS output end Proof % 0.62/0.88 % cvc5 exiting %------------------------------------------------------------------------------