%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN045^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:07:52 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN045^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 23:19:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.46/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-sort tptp.mu 0) % 0.46/0.63 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.q (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.r (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.46/0.63 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.46/0.63 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.46/0.63 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.46/0.63 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.46/0.63 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.46/0.63 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.46/0.63 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.46/0.63 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.46/0.63 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.46/0.63 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.46/0.63 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.46/0.63 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.46/0.63 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.46/0.63 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.46/0.63 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.46/0.63 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.46/0.63 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.46/0.63 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.46/0.63 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.46/0.63 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.46/0.63 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.46/0.63 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.46/0.63 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.46/0.63 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.46/0.63 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.46/0.63 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.46/0.63 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.46/0.63 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.46/0.63 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.46/0.63 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.46/0.63 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.46/0.63 (define @t1 () (@var "V" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "X" tptp.mu)) % 0.46/0.63 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.46/0.63 (define @t4 () (_ @t3 @t1)) % 0.46/0.63 (define @t5 () (@list @t2)) % 0.46/0.63 (define @t6 () (@list @t1)) % 0.46/0.63 (define @t7 () (@var "W" $$unsorted)) % 0.46/0.63 (define @t8 () (_ @t3 @t7)) % 0.46/0.63 (define @t9 () (_ tptp.mbox_s4 tptp.r)) % 0.46/0.63 (define @t10 () (_ tptp.mbox_s4 tptp.q)) % 0.46/0.63 (define @t11 () (_ tptp.mor (_ tptp.mbox_s4 tptp.p))) % 0.46/0.63 (define @t12 () (_ @t11 (_ (_ tptp.mand @t10) @t9))) % 0.46/0.63 (define @t13 () (_ (_ tptp.mand (_ @t11 @t10)) (_ @t11 @t9))) % 0.46/0.63 (define @t14 () (not (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t12) @t13))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t13) @t12)))))) % 0.46/0.63 (define @t15 () (@var "Y" (-> $$unsorted Bool))) % 0.46/0.63 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 0.46/0.63 (define @t17 () (lambda (@list @t16 @t15 @t7) (= (_ @t16 @t7) (_ @t15 @t7)))) % 0.46/0.63 (define @t18 () (@var "Phi" (-> $$unsorted Bool))) % 0.46/0.63 (define @t19 () (_ @t18 @t7)) % 0.46/0.63 (define @t20 () (not @t19)) % 0.46/0.63 (define @t21 () (@list @t18 @t7)) % 0.46/0.63 (define @t22 () (lambda @t21 @t20)) % 0.46/0.63 (define @t23 () (@var "Psi" (-> $$unsorted Bool))) % 0.46/0.63 (define @t24 () (_ @t23 @t7)) % 0.46/0.63 (define @t25 () (lambda (@list @t18 @t23 @t7) (or @t19 @t24))) % 0.46/0.63 (define @t26 () (_ @t18 @t1)) % 0.46/0.63 (define @t27 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.46/0.63 (define @t28 () (lambda (@list @t27 @t18 @t7) (forall @t6 (or (not (_ (_ @t27 @t7) @t1)) @t26)))) % 0.46/0.63 (define @t29 () (@var "P" (-> $$unsorted Bool))) % 0.46/0.63 (define @t30 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.46/0.63 (define @t31 () (_ @t30 @t29)) % 0.46/0.63 (define @t32 () (lambda (@list @t30 @t7) (forall (@list @t29) (_ @t31 @t7)))) % 0.46/0.63 (define @t33 () (@list @t7)) % 0.46/0.63 (define @t34 () (lambda @t33 true)) % 0.46/0.63 (define @t35 () (@var "__flatten_var_0" $$unsorted)) % 0.46/0.63 (define @t36 () (_ tptp.mnot @t23)) % 0.46/0.63 (define @t37 () (_ tptp.mnot @t18)) % 0.46/0.63 (define @t38 () (_ tptp.mor @t37)) % 0.46/0.63 (define @t39 () (@list @t18 @t23 @t35)) % 0.46/0.63 (define @t40 () (lambda @t39 (_ (_ tptp.mnot (_ @t38 @t36)) @t35))) % 0.46/0.63 (define @t41 () (lambda @t39 (_ (_ @t38 @t23) @t35))) % 0.46/0.63 (define @t42 () (lambda @t39 (_ (_ (_ tptp.mor @t36) @t18) @t35))) % 0.46/0.63 (define @t43 () (lambda @t39 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t18) @t23)) (_ (_ tptp.mimplies @t23) @t18)) @t35))) % 0.46/0.63 (define @t44 () (lambda @t39 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t18) @t23)) @t35))) % 0.46/0.63 (define @t45 () (lambda (@list @t27 @t18 @t35) (_ (_ tptp.mnot (_ (_ tptp.mbox @t27) @t37)) @t35))) % 0.46/0.63 (define @t46 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.46/0.63 (define @t47 () (_ @t46 @t2)) % 0.46/0.63 (define @t48 () (lambda (@list @t46 @t7) (forall @t5 (=> @t8 (_ @t47 @t7))))) % 0.46/0.63 (define @t49 () (lambda (@list @t46 @t35) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t2 @t35) (_ (_ tptp.mnot @t47) @t35)))) @t35))) % 0.46/0.63 (define @t50 () (lambda (@list @t30 @t35) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t29 @t35) (_ (_ tptp.mnot @t31) @t35)))) @t35))) % 0.46/0.63 (define @t51 () (@var "S" $$unsorted)) % 0.46/0.63 (define @t52 () (_ @t27 @t51)) % 0.46/0.63 (define @t53 () (@list @t51)) % 0.46/0.63 (define @t54 () (@list @t27)) % 0.46/0.63 (define @t55 () (lambda @t54 (forall @t53 (_ @t52 @t51)))) % 0.46/0.63 (define @t56 () (@var "T" $$unsorted)) % 0.46/0.63 (define @t57 () (_ @t27 @t56)) % 0.46/0.63 (define @t58 () (_ @t52 @t56)) % 0.46/0.63 (define @t59 () (lambda @t54 (forall (@list @t51 @t56) (=> @t58 (_ @t57 @t51))))) % 0.46/0.63 (define @t60 () (@list @t56)) % 0.46/0.63 (define @t61 () (lambda @t54 (forall @t53 (exists @t60 @t58)))) % 0.46/0.63 (define @t62 () (@var "U" $$unsorted)) % 0.46/0.63 (define @t63 () (_ @t52 @t62)) % 0.46/0.63 (define @t64 () (_ @t57 @t62)) % 0.46/0.63 (define @t65 () (@list @t51 @t56 @t62)) % 0.46/0.63 (define @t66 () (lambda @t54 (forall @t65 (=> (and @t58 @t64) @t63)))) % 0.46/0.63 (define @t67 () (and @t58 @t63)) % 0.46/0.63 (define @t68 () (lambda @t54 (forall @t65 (=> @t67 @t64)))) % 0.46/0.63 (define @t69 () (= @t56 @t62)) % 0.46/0.63 (define @t70 () (lambda @t54 (forall @t65 (=> @t67 @t69)))) % 0.46/0.63 (define @t71 () (@list @t62)) % 0.46/0.63 (define @t72 () (lambda @t54 (forall @t53 (exists @t60 (and @t58 (forall @t71 (=> @t63 @t69))))))) % 0.46/0.63 (define @t73 () (_ @t27 @t62)) % 0.46/0.63 (define @t74 () (_ @t73 @t56)) % 0.46/0.63 (define @t75 () (lambda @t54 (forall @t65 (=> @t58 (exists @t71 (and @t63 @t74)))))) % 0.46/0.63 (define @t76 () (lambda @t54 (forall @t65 (=> @t67 (or @t64 @t69 @t74))))) % 0.46/0.63 (define @t77 () (lambda @t54 (forall @t65 (=> @t67 (exists @t6 (and (_ @t57 @t1) (_ @t73 @t1))))))) % 0.46/0.63 (define @t78 () (forall @t33 @t19)) % 0.46/0.63 (define @t79 () (@list @t18)) % 0.46/0.63 (define @t80 () (lambda @t79 @t78)) % 0.46/0.63 (define @t81 () (lambda @t79 (exists @t33 @t19))) % 0.46/0.63 (define @t82 () (lambda @t79 (exists @t33 @t20))) % 0.46/0.63 (define @t83 () (lambda @t79 (forall @t33 @t20))) % 0.46/0.63 (define @t84 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.46/0.63 (define @t85 () (not @t84)) % 0.46/0.63 (define @t86 () (or @t85 @t26)) % 0.46/0.63 (define @t87 () (forall @t6 @t86)) % 0.46/0.63 (define @t88 () (lambda @t21 @t87)) % 0.46/0.63 (define @t89 () (lambda (@list @t18 @t35) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t37)) @t35))) % 0.46/0.63 (define @t90 () (@var "BOUND_VARIABLE_8681" $$unsorted)) % 0.46/0.63 (define @t91 () (tptp.r @t90)) % 0.46/0.63 (define @t92 () (not (tptp.rel_s4 @t1 @t90))) % 0.46/0.63 (define @t93 () (@var "BOUND_VARIABLE_8675" $$unsorted)) % 0.46/0.63 (define @t94 () (tptp.p @t93)) % 0.46/0.63 (define @t95 () (not (tptp.rel_s4 @t1 @t93))) % 0.46/0.63 (define @t96 () (or @t95 @t94 @t92 @t91)) % 0.46/0.63 (define @t97 () (@var "BOUND_VARIABLE_8668" $$unsorted)) % 0.46/0.63 (define @t98 () (tptp.q @t97)) % 0.46/0.63 (define @t99 () (not (tptp.rel_s4 @t1 @t97))) % 0.46/0.63 (define @t100 () (@var "BOUND_VARIABLE_8662" $$unsorted)) % 0.46/0.63 (define @t101 () (tptp.p @t100)) % 0.46/0.63 (define @t102 () (not (tptp.rel_s4 @t1 @t100))) % 0.46/0.63 (define @t103 () (or @t102 @t101 @t99 @t98)) % 0.46/0.63 (define @t104 () (and @t103 @t96)) % 0.46/0.63 (define @t105 () (@var "BOUND_VARIABLE_8590" $$unsorted)) % 0.46/0.63 (define @t106 () (tptp.r @t105)) % 0.46/0.63 (define @t107 () (@list @t105)) % 0.46/0.63 (define @t108 () (forall @t107 (or (not (tptp.rel_s4 @t1 @t105)) @t106))) % 0.46/0.63 (define @t109 () (@var "BOUND_VARIABLE_8608" $$unsorted)) % 0.46/0.63 (define @t110 () (tptp.q @t109)) % 0.46/0.63 (define @t111 () (@list @t109)) % 0.46/0.63 (define @t112 () (forall @t111 (or (not (tptp.rel_s4 @t1 @t109)) @t110))) % 0.46/0.63 (define @t113 () (or (not @t112) (not @t108))) % 0.46/0.63 (define @t114 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 0.46/0.63 (define @t115 () (tptp.p @t114)) % 0.46/0.63 (define @t116 () (@list @t114)) % 0.46/0.63 (define @t117 () (forall @t116 (or (not (tptp.rel_s4 @t1 @t114)) @t115))) % 0.46/0.63 (define @t118 () (not @t117)) % 0.46/0.63 (define @t119 () (and @t118 @t113)) % 0.46/0.63 (define @t120 () (@var "BOUND_VARIABLE_8844" $$unsorted)) % 0.46/0.63 (define @t121 () (or (not (tptp.rel_s4 @t120 @t1)) @t119 @t104)) % 0.46/0.63 (define @t122 () (forall (@list @t120 @t1 @t100 @t97 @t93 @t90) @t121)) % 0.46/0.63 (define @t123 () (@quantifiers_skolemize @t122 5)) % 0.46/0.63 (define @t124 () (tptp.r @t123)) % 0.46/0.63 (define @t125 () (@quantifiers_skolemize @t122 1)) % 0.46/0.63 (define @t126 () (tptp.rel_s4 @t125 @t123)) % 0.46/0.63 (define @t127 () (not @t126)) % 0.46/0.63 (define @t128 () (@quantifiers_skolemize @t122 4)) % 0.46/0.63 (define @t129 () (tptp.p @t128)) % 0.46/0.63 (define @t130 () (tptp.rel_s4 @t125 @t128)) % 0.46/0.63 (define @t131 () (not @t130)) % 0.46/0.63 (define @t132 () (or @t131 @t129 @t127 @t124)) % 0.46/0.63 (define @t133 () (@quantifiers_skolemize @t122 3)) % 0.46/0.63 (define @t134 () (tptp.q @t133)) % 0.46/0.63 (define @t135 () (tptp.rel_s4 @t125 @t133)) % 0.46/0.63 (define @t136 () (not @t135)) % 0.46/0.63 (define @t137 () (@quantifiers_skolemize @t122 2)) % 0.46/0.63 (define @t138 () (tptp.p @t137)) % 0.46/0.63 (define @t139 () (tptp.rel_s4 @t125 @t137)) % 0.46/0.63 (define @t140 () (not @t139)) % 0.46/0.63 (define @t141 () (or @t140 @t138 @t136 @t134)) % 0.46/0.63 (define @t142 () (and @t141 @t132)) % 0.46/0.63 (define @t143 () (forall @t107 (or (not (tptp.rel_s4 @t125 @t105)) @t106))) % 0.46/0.63 (define @t144 () (not @t143)) % 0.46/0.63 (define @t145 () (forall @t111 (or (not (tptp.rel_s4 @t125 @t109)) @t110))) % 0.46/0.63 (define @t146 () (not @t145)) % 0.46/0.63 (define @t147 () (or @t146 @t144)) % 0.46/0.63 (define @t148 () (forall @t116 (or (not (tptp.rel_s4 @t125 @t114)) @t115))) % 0.46/0.63 (define @t149 () (not @t148)) % 0.46/0.63 (define @t150 () (and @t149 @t147)) % 0.46/0.63 (define @t151 () (or (not (tptp.rel_s4 (@quantifiers_skolemize @t122 0) @t125)) @t150 @t142)) % 0.46/0.63 (define @t152 () (or @t140 @t138)) % 0.46/0.63 (define @t153 () (or @t131 @t129)) % 0.46/0.63 (define @t154 () (not @t153)) % 0.46/0.63 (define @t155 () (@list true false)) % 0.46/0.63 (define @t156 () (not @t147)) % 0.46/0.63 (define @t157 () (or @t136 @t134)) % 0.46/0.63 (define @t158 () (or @t127 @t124)) % 0.46/0.63 (define @t159 () (not @t158)) % 0.46/0.63 (define @t160 () (not @t151)) % 0.46/0.63 (define @t161 () (not @t122)) % 0.46/0.63 (define @t162 () (@list false)) % 0.46/0.63 (define @t163 () (@var "BOUND_VARIABLE_8796" $$unsorted)) % 0.46/0.63 (define @t164 () (tptp.p @t163)) % 0.46/0.63 (define @t165 () (not (tptp.rel_s4 @t1 @t163))) % 0.46/0.63 (define @t166 () (@var "BOUND_VARIABLE_8808" $$unsorted)) % 0.46/0.63 (define @t167 () (or (not (tptp.rel_s4 @t1 @t166)) (tptp.r @t166))) % 0.46/0.63 (define @t168 () (@var "BOUND_VARIABLE_8802" $$unsorted)) % 0.46/0.63 (define @t169 () (or (not (tptp.rel_s4 @t1 @t168)) (tptp.q @t168))) % 0.46/0.63 (define @t170 () (and @t169 @t167)) % 0.46/0.63 (define @t171 () (@var "BOUND_VARIABLE_8731" $$unsorted)) % 0.46/0.63 (define @t172 () (tptp.r @t171)) % 0.46/0.63 (define @t173 () (@list @t171)) % 0.46/0.63 (define @t174 () (forall @t173 (or (not (tptp.rel_s4 @t1 @t171)) @t172))) % 0.46/0.63 (define @t175 () (not @t174)) % 0.46/0.63 (define @t176 () (@var "BOUND_VARIABLE_8751" $$unsorted)) % 0.46/0.63 (define @t177 () (tptp.p @t176)) % 0.46/0.63 (define @t178 () (@list @t176)) % 0.46/0.63 (define @t179 () (forall @t178 (or (not (tptp.rel_s4 @t1 @t176)) @t177))) % 0.46/0.63 (define @t180 () (not @t179)) % 0.46/0.63 (define @t181 () (and @t180 @t175)) % 0.46/0.63 (define @t182 () (@var "BOUND_VARIABLE_8740" $$unsorted)) % 0.46/0.63 (define @t183 () (tptp.q @t182)) % 0.46/0.63 (define @t184 () (@list @t182)) % 0.46/0.63 (define @t185 () (forall @t184 (or (not (tptp.rel_s4 @t1 @t182)) @t183))) % 0.46/0.63 (define @t186 () (not @t185)) % 0.46/0.63 (define @t187 () (and @t180 @t186)) % 0.46/0.63 (define @t188 () (@var "BOUND_VARIABLE_8852" $$unsorted)) % 0.46/0.63 (define @t189 () (or (not (tptp.rel_s4 @t188 @t1)) @t187 @t181 @t170 @t165 @t164)) % 0.46/0.63 (define @t190 () (forall (@list @t188 @t1 @t163 @t168 @t166) @t189)) % 0.46/0.63 (define @t191 () (@list @t1 @t163 @t168 @t166)) % 0.46/0.63 (define @t192 () (forall (@list @t188) (forall @t191 @t189))) % 0.46/0.63 (define @t193 () (@list @t1 @t100 @t97 @t93 @t90)) % 0.46/0.63 (define @t194 () (forall (@list @t120) (forall @t193 @t121))) % 0.46/0.63 (define @t195 () (tptp.rel_s4 @t7 @t1)) % 0.46/0.63 (define @t196 () (not @t195)) % 0.46/0.63 (define @t197 () (or @t196 @t187 @t181 @t170 @t165 @t164)) % 0.46/0.63 (define @t198 () (forall @t191 @t197)) % 0.46/0.63 (define @t199 () (forall @t33 @t198)) % 0.46/0.63 (define @t200 () (@list @t7)) % 0.46/0.63 (define @t201 () (forall @t193 (or @t196 @t119 @t104))) % 0.46/0.63 (define @t202 () (forall @t33 @t201)) % 0.46/0.63 (define @t203 () (and @t202 @t199)) % 0.46/0.63 (define @t204 () (not @t198)) % 0.46/0.63 (define @t205 () (not @t201)) % 0.46/0.63 (define @t206 () (not (or @t205 @t204))) % 0.46/0.63 (define @t207 () (not (tptp.rel_s4 @t35 @t1))) % 0.46/0.63 (define @t208 () (forall @t191 (or @t207 @t187 @t181 @t170 @t165 @t164))) % 0.46/0.63 (define @t209 () (forall @t193 (or @t207 @t119 @t104))) % 0.46/0.63 (define @t210 () (not @t209)) % 0.46/0.63 (define @t211 () (@list @t35)) % 0.46/0.63 (define @t212 () (lambda @t211 (not (or @t210 (not @t208))))) % 0.46/0.63 (define @t213 () (_ @t212 @t7)) % 0.46/0.63 (define @t214 () (forall @t33 @t213)) % 0.46/0.63 (define @t215 () (_ @t18 @t7)) % 0.46/0.63 (define @t216 () (lambda @t79 (forall @t33 @t215))) % 0.46/0.63 (define @t217 () (lambda @t33 @t198)) % 0.46/0.63 (define @t218 () (_ @t217 @t35)) % 0.46/0.63 (define @t219 () (not @t218)) % 0.46/0.63 (define @t220 () (or @t210 @t219)) % 0.46/0.63 (define @t221 () (not @t220)) % 0.46/0.63 (define @t222 () (lambda @t211 @t221)) % 0.46/0.63 (define @t223 () (_ @t23 @t35)) % 0.46/0.63 (define @t224 () (not @t223)) % 0.46/0.63 (define @t225 () (@list @t23 @t35)) % 0.46/0.63 (define @t226 () (or @t165 @t164)) % 0.46/0.63 (define @t227 () (or @t196 @t187 @t181 @t226 @t170)) % 0.46/0.63 (define @t228 () (forall @t191 @t227)) % 0.46/0.63 (define @t229 () (forall (@list @t163 @t168 @t166) @t227)) % 0.46/0.63 (define @t230 () (forall (@list @t166) @t167)) % 0.46/0.63 (define @t231 () (@list @t171)) % 0.46/0.63 (define @t232 () (@list @t168 @t166)) % 0.46/0.63 (define @t233 () (forall @t232 @t167)) % 0.46/0.63 (define @t234 () (forall (@list @t168) @t169)) % 0.46/0.63 (define @t235 () (@list @t182)) % 0.46/0.63 (define @t236 () (forall @t232 @t169)) % 0.46/0.63 (define @t237 () (and @t236 @t233)) % 0.46/0.63 (define @t238 () (forall @t232 @t170)) % 0.46/0.63 (define @t239 () (forall (@list @t163) @t226)) % 0.46/0.63 (define @t240 () (@list @t176)) % 0.46/0.63 (define @t241 () (or @t196 @t187 @t181 @t239 @t238)) % 0.46/0.63 (define @t242 () (not (or @t186 @t175))) % 0.46/0.63 (define @t243 () (not (or @t179 @t174))) % 0.46/0.63 (define @t244 () (not (or @t179 @t185))) % 0.46/0.63 (define @t245 () (or @t196 @t244 @t243 @t179 @t242)) % 0.46/0.63 (define @t246 () (or @t244 @t243 @t179 @t242)) % 0.46/0.63 (define @t247 () (forall @t173 (or (not (tptp.rel_s4 @t35 @t171)) @t172))) % 0.46/0.63 (define @t248 () (forall @t184 (or (not (tptp.rel_s4 @t35 @t182)) @t183))) % 0.46/0.63 (define @t249 () (forall @t178 (or (not (tptp.rel_s4 @t35 @t176)) @t177))) % 0.46/0.63 (define @t250 () (tptp.r @t1)) % 0.46/0.63 (define @t251 () (forall @t6 (or @t207 @t250))) % 0.46/0.63 (define @t252 () (@list @t1)) % 0.46/0.63 (define @t253 () (not @t251)) % 0.46/0.63 (define @t254 () (tptp.q @t1)) % 0.46/0.63 (define @t255 () (forall @t6 (or @t207 @t254))) % 0.46/0.63 (define @t256 () (not @t255)) % 0.46/0.63 (define @t257 () (or @t256 @t253)) % 0.46/0.63 (define @t258 () (not @t257)) % 0.46/0.63 (define @t259 () (tptp.p @t1)) % 0.46/0.63 (define @t260 () (forall @t6 (or @t207 @t259))) % 0.46/0.63 (define @t261 () (or @t260 @t251)) % 0.46/0.63 (define @t262 () (not @t261)) % 0.46/0.63 (define @t263 () (or @t260 @t255)) % 0.46/0.63 (define @t264 () (not @t263)) % 0.46/0.63 (define @t265 () (or @t264 @t262 @t260 @t258)) % 0.46/0.63 (define @t266 () (lambda @t211 @t265)) % 0.46/0.63 (define @t267 () (or @t196 (_ @t266 @t1))) % 0.46/0.63 (define @t268 () (forall @t6 @t267)) % 0.46/0.63 (define @t269 () (lambda @t33 @t268)) % 0.46/0.63 (define @t270 () (_ @t18 @t1)) % 0.46/0.63 (define @t271 () (lambda @t21 (forall @t6 (or @t196 @t270)))) % 0.46/0.63 (define @t272 () (or @t260 @t258)) % 0.46/0.63 (define @t273 () (forall @t6 (or @t196 @t250))) % 0.46/0.63 (define @t274 () (forall @t6 (or @t196 @t254))) % 0.46/0.63 (define @t275 () (not (or (not @t274) (not @t273)))) % 0.46/0.63 (define @t276 () (forall @t6 (or @t196 @t259))) % 0.46/0.63 (define @t277 () (lambda @t33 (or @t276 @t275))) % 0.46/0.63 (define @t278 () (_ @t277 @t35)) % 0.46/0.63 (define @t279 () (or @t278 @t264 @t262)) % 0.46/0.63 (define @t280 () (lambda @t211 @t279)) % 0.46/0.63 (define @t281 () (or @t223 @t264 @t262)) % 0.46/0.63 (define @t282 () (lambda @t211 @t258)) % 0.46/0.63 (define @t283 () (_ @t282 @t7)) % 0.46/0.63 (define @t284 () (or @t276 @t283)) % 0.46/0.63 (define @t285 () (lambda @t33 @t284)) % 0.46/0.63 (define @t286 () (@list @t23 @t7)) % 0.46/0.63 (define @t287 () (lambda @t286 (or @t276 @t24))) % 0.46/0.63 (define @t288 () (lambda @t33 @t273)) % 0.46/0.63 (define @t289 () (_ @t288 @t35)) % 0.46/0.63 (define @t290 () (not @t289)) % 0.46/0.63 (define @t291 () (or @t256 @t290)) % 0.46/0.63 (define @t292 () (not @t291)) % 0.46/0.63 (define @t293 () (lambda @t211 @t292)) % 0.46/0.63 (define @t294 () (_ @t271 tptp.r)) % 0.46/0.63 (define @t295 () (lambda @t33 @t274)) % 0.46/0.63 (define @t296 () (_ @t295 @t35)) % 0.46/0.63 (define @t297 () (not @t296)) % 0.46/0.63 (define @t298 () (or @t297 @t224)) % 0.46/0.63 (define @t299 () (not @t298)) % 0.46/0.63 (define @t300 () (lambda @t225 @t299)) % 0.46/0.63 (define @t301 () (not (_ @t18 @t35))) % 0.46/0.63 (define @t302 () (not (or @t301 @t224))) % 0.46/0.63 (define @t303 () (lambda @t39 @t302)) % 0.46/0.63 (define @t304 () (_ @t271 tptp.q)) % 0.46/0.63 (define @t305 () (lambda @t33 @t276)) % 0.46/0.63 (define @t306 () (_ @t305 @t7)) % 0.46/0.63 (define @t307 () (or @t306 @t24)) % 0.46/0.63 (define @t308 () (lambda @t286 @t307)) % 0.46/0.63 (define @t309 () (_ @t271 tptp.p)) % 0.46/0.63 (define @t310 () (or @t264 @t262)) % 0.46/0.63 (define @t311 () (not @t310)) % 0.46/0.63 (define @t312 () (lambda @t211 @t311)) % 0.46/0.63 (define @t313 () (_ @t312 @t35)) % 0.46/0.63 (define @t314 () (not @t313)) % 0.46/0.63 (define @t315 () (or @t314 @t223)) % 0.46/0.63 (define @t316 () (lambda @t225 @t315)) % 0.46/0.63 (define @t317 () (or @t301 @t223)) % 0.46/0.63 (define @t318 () (lambda @t39 @t317)) % 0.46/0.63 (define @t319 () (lambda @t33 (or @t276 @t273))) % 0.46/0.63 (define @t320 () (_ @t319 @t35)) % 0.46/0.63 (define @t321 () (not @t320)) % 0.46/0.63 (define @t322 () (or @t264 @t321)) % 0.46/0.63 (define @t323 () (not @t322)) % 0.46/0.63 (define @t324 () (lambda @t211 @t323)) % 0.46/0.63 (define @t325 () (_ @t288 @t7)) % 0.46/0.63 (define @t326 () (or @t276 @t325)) % 0.46/0.63 (define @t327 () (lambda @t33 @t326)) % 0.46/0.63 (define @t328 () (lambda @t33 (or @t276 @t274))) % 0.46/0.63 (define @t329 () (_ @t328 @t35)) % 0.46/0.63 (define @t330 () (not @t329)) % 0.46/0.63 (define @t331 () (or @t330 @t224)) % 0.46/0.63 (define @t332 () (not @t331)) % 0.46/0.63 (define @t333 () (lambda @t225 @t332)) % 0.46/0.63 (define @t334 () (_ @t295 @t7)) % 0.46/0.63 (define @t335 () (or @t276 @t334)) % 0.46/0.63 (define @t336 () (lambda @t33 @t335)) % 0.46/0.63 (define @t337 () (lambda @t33 @t201)) % 0.46/0.63 (define @t338 () (_ @t337 @t35)) % 0.46/0.63 (define @t339 () (not @t338)) % 0.46/0.63 (define @t340 () (or @t339 @t224)) % 0.46/0.64 (define @t341 () (not @t340)) % 0.46/0.64 (define @t342 () (lambda @t225 @t341)) % 0.46/0.64 (define @t343 () (or @t92 @t91)) % 0.46/0.64 (define @t344 () (or @t95 @t94)) % 0.46/0.64 (define @t345 () (or @t344 @t343)) % 0.46/0.64 (define @t346 () (or @t99 @t98)) % 0.46/0.64 (define @t347 () (or @t102 @t101)) % 0.46/0.64 (define @t348 () (or @t347 @t346)) % 0.46/0.64 (define @t349 () (and @t348 @t345)) % 0.46/0.64 (define @t350 () (or @t196 @t119 @t349)) % 0.46/0.64 (define @t351 () (forall @t193 @t350)) % 0.46/0.64 (define @t352 () (@list @t100 @t97 @t93 @t90)) % 0.46/0.64 (define @t353 () (forall @t352 @t350)) % 0.46/0.64 (define @t354 () (forall (@list @t90) @t343)) % 0.46/0.64 (define @t355 () (@list @t105)) % 0.46/0.64 (define @t356 () (forall (@list @t93) @t344)) % 0.46/0.64 (define @t357 () (@list @t114)) % 0.46/0.64 (define @t358 () (or @t356 @t354)) % 0.46/0.64 (define @t359 () (forall (@list @t93 @t90) @t345)) % 0.46/0.64 (define @t360 () (forall @t352 @t345)) % 0.46/0.64 (define @t361 () (forall (@list @t97) @t346)) % 0.46/0.64 (define @t362 () (@list @t109)) % 0.46/0.64 (define @t363 () (forall (@list @t100) @t347)) % 0.46/0.64 (define @t364 () (or @t363 @t361)) % 0.46/0.64 (define @t365 () (forall (@list @t100 @t97) @t348)) % 0.46/0.64 (define @t366 () (forall @t352 @t348)) % 0.46/0.64 (define @t367 () (and @t366 @t360)) % 0.46/0.64 (define @t368 () (forall @t352 @t349)) % 0.46/0.64 (define @t369 () (or @t196 @t119 @t368)) % 0.46/0.64 (define @t370 () (or @t117 @t108)) % 0.46/0.64 (define @t371 () (or @t117 @t112)) % 0.46/0.64 (define @t372 () (not @t370)) % 0.46/0.64 (define @t373 () (not @t371)) % 0.46/0.64 (define @t374 () (not @t113)) % 0.46/0.64 (define @t375 () (not (or @t373 @t372))) % 0.46/0.64 (define @t376 () (not (or @t117 @t374))) % 0.46/0.64 (define @t377 () (or @t196 @t376 @t375)) % 0.46/0.64 (define @t378 () (or @t376 @t375)) % 0.46/0.64 (define @t379 () (forall @t107 (or (not (tptp.rel_s4 @t35 @t105)) @t106))) % 0.46/0.64 (define @t380 () (forall @t116 (or (not (tptp.rel_s4 @t35 @t114)) @t115))) % 0.46/0.64 (define @t381 () (forall @t111 (or (not (tptp.rel_s4 @t35 @t109)) @t110))) % 0.46/0.64 (define @t382 () (not @t272)) % 0.46/0.64 (define @t383 () (or @t382 @t311)) % 0.46/0.64 (define @t384 () (lambda @t211 @t383)) % 0.46/0.64 (define @t385 () (or @t196 (_ @t384 @t1))) % 0.46/0.64 (define @t386 () (forall @t6 @t385)) % 0.46/0.64 (define @t387 () (lambda @t33 @t386)) % 0.46/0.64 (define @t388 () (or @t382 @t313)) % 0.46/0.64 (define @t389 () (lambda @t211 @t388)) % 0.46/0.64 (define @t390 () (not @t278)) % 0.46/0.64 (define @t391 () (or @t390 @t223)) % 0.46/0.64 (define @t392 () (lambda @t225 @t391)) % 0.46/0.64 (define @t393 () (_ @t25 @t309)) % 0.46/0.64 (define @t394 () (_ @t393 (_ (_ @t303 @t304) @t294))) % 0.46/0.64 (define @t395 () (_ (_ @t303 (_ @t393 @t304)) (_ @t393 @t294))) % 0.46/0.64 (define @t396 () (not @t24)) % 0.46/0.64 (define @t397 () (or @t20 @t396)) % 0.46/0.64 (define @t398 () (lambda @t33 @t397)) % 0.46/0.64 (define @t399 () (_ @t398 @t7)) % 0.46/0.64 (define @t400 () (not @t399)) % 0.46/0.64 (define @t401 () (lambda @t33 @t400)) % 0.46/0.64 (define @t402 () (lambda @t33 @t396)) % 0.46/0.64 (define @t403 () (_ @t402 @t7)) % 0.46/0.64 (define @t404 () (or @t20 @t403)) % 0.46/0.64 (define @t405 () (lambda @t33 @t404)) % 0.46/0.64 (define @t406 () (or @t20 @t24)) % 0.46/0.64 (define @t407 () (lambda @t286 @t406)) % 0.46/0.64 (define @t408 () (lambda @t33 @t20)) % 0.46/0.64 (define @t409 () (_ @t408 @t7)) % 0.46/0.64 (define @t410 () (or @t409 @t24)) % 0.46/0.64 (define @t411 () (lambda @t286 @t410)) % 0.46/0.64 (define @t412 () (lambda @t33 @t406)) % 0.46/0.64 (define @t413 () (not @t190)) % 0.46/0.64 (define @t414 () (@quantifiers_skolemize @t190 2)) % 0.46/0.64 (define @t415 () (tptp.p @t414)) % 0.46/0.64 (define @t416 () (@quantifiers_skolemize @t190 1)) % 0.46/0.64 (define @t417 () (tptp.rel_s4 @t416 @t414)) % 0.46/0.64 (define @t418 () (not @t417)) % 0.46/0.64 (define @t419 () (@quantifiers_skolemize @t190 4)) % 0.46/0.64 (define @t420 () (or (not (tptp.rel_s4 @t416 @t419)) (tptp.r @t419))) % 0.46/0.64 (define @t421 () (@quantifiers_skolemize @t190 3)) % 0.46/0.64 (define @t422 () (or (not (tptp.rel_s4 @t416 @t421)) (tptp.q @t421))) % 0.46/0.64 (define @t423 () (and @t422 @t420)) % 0.46/0.64 (define @t424 () (forall @t173 (or (not (tptp.rel_s4 @t416 @t171)) @t172))) % 0.46/0.64 (define @t425 () (not @t424)) % 0.46/0.64 (define @t426 () (forall @t178 (or (not (tptp.rel_s4 @t416 @t176)) @t177))) % 0.46/0.64 (define @t427 () (not @t426)) % 0.46/0.64 (define @t428 () (and @t427 @t425)) % 0.46/0.64 (define @t429 () (forall @t184 (or (not (tptp.rel_s4 @t416 @t182)) @t183))) % 0.46/0.64 (define @t430 () (not @t429)) % 0.46/0.64 (define @t431 () (and @t427 @t430)) % 0.46/0.64 (define @t432 () (or (not (tptp.rel_s4 (@quantifiers_skolemize @t190 0) @t416)) @t431 @t428 @t423 @t418 @t415)) % 0.46/0.64 (define @t433 () (not @t432)) % 0.46/0.64 (define @t434 () (@list true)) % 0.46/0.64 (define @t435 () (@list @t432)) % 0.46/0.64 (define @t436 () (or @t418 @t415)) % 0.46/0.64 (define @t437 () (not @t436)) % 0.46/0.64 (define @t438 () (not @t427)) % 0.46/0.64 (define @t439 () (@list true true)) % 0.46/0.64 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.46/0.64 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.46/0.64 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.46/0.64 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.46/0.64 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.46/0.64 (assume @p6 @t14) % 0.46/0.64 (assume @p7 true) % 0.46/0.64 (step @p8 (= tptp.meq_prop @t17) :rule refl :args (@t17)) % 0.46/0.64 (step @p9 (= tptp.mnot @t22) :rule refl :args (@t22)) % 0.46/0.64 (step @p10 (= tptp.mor @t25) :rule refl :args (@t25)) % 0.46/0.64 (step @p11 (= tptp.mbox @t28) :rule refl :args (@t28)) % 0.46/0.64 (step @p12 (= tptp.mforall_prop @t32) :rule refl :args (@t32)) % 0.46/0.64 (step @p13 (= tptp.mtrue @t34) :rule refl :args (@t34)) % 0.46/0.64 (step @p14 (= tptp.mand @t40) :rule refl :args (@t40)) % 0.46/0.64 (step @p15 (= tptp.mimplies @t41) :rule refl :args (@t41)) % 0.46/0.64 (step @p16 (= tptp.mimplied @t42) :rule refl :args (@t42)) % 0.46/0.64 (step @p17 (= tptp.mequiv @t43) :rule refl :args (@t43)) % 0.46/0.64 (step @p18 (= tptp.mxor @t44) :rule refl :args (@t44)) % 0.46/0.64 (step @p19 (= tptp.mdia @t45) :rule refl :args (@t45)) % 0.46/0.64 (step @p20 (= tptp.mforall_ind @t48) :rule refl :args (@t48)) % 0.46/0.64 (step @p21 (= tptp.mexists_ind @t49) :rule refl :args (@t49)) % 0.46/0.64 (step @p22 (= tptp.mexists_prop @t50) :rule refl :args (@t50)) % 0.46/0.64 (step @p23 (= tptp.mreflexive @t55) :rule refl :args (@t55)) % 0.46/0.64 (step @p24 (= tptp.msymmetric @t59) :rule refl :args (@t59)) % 0.46/0.64 (step @p25 (= tptp.mserial @t61) :rule refl :args (@t61)) % 0.46/0.64 (step @p26 (= tptp.mtransitive @t66) :rule refl :args (@t66)) % 0.46/0.64 (step @p27 (= tptp.meuclidean @t68) :rule refl :args (@t68)) % 0.46/0.64 (step @p28 (= tptp.mpartially_functional @t70) :rule refl :args (@t70)) % 0.46/0.64 (step @p29 (= tptp.mfunctional @t72) :rule refl :args (@t72)) % 0.46/0.64 (step @p30 (= tptp.mweakly_dense @t75) :rule refl :args (@t75)) % 0.46/0.64 (step @p31 (= tptp.mweakly_connected @t76) :rule refl :args (@t76)) % 0.46/0.64 (step @p32 (= tptp.mweakly_directed @t77) :rule refl :args (@t77)) % 0.46/0.64 (step @p33 (= tptp.mvalid @t80) :rule refl :args (@t80)) % 0.46/0.64 (step @p34 (= tptp.msatisfiable @t81) :rule refl :args (@t81)) % 0.46/0.64 (step @p35 (= tptp.mcountersatisfiable @t82) :rule refl :args (@t82)) % 0.46/0.64 (step @p36 (= tptp.minvalid @t83) :rule refl :args (@t83)) % 0.46/0.64 (step @p37 (= tptp.mbox_s4 @t88) :rule refl :args (@t88)) % 0.46/0.64 (step @p38 (= tptp.mdia_s4 @t89) :rule refl :args (@t89)) % 0.46/0.64 (step @p39 :rule cnf_or_neg :args (@t151 1)) % 0.46/0.64 (step @p40 :rule cnf_or_neg :args (@t151 2)) % 0.46/0.64 (assume-push @p587 @t148) % 0.46/0.64 (step @p42 :rule instantiate :premises (@p587) :args ((@list @t137))) % 0.46/0.64 (step-pop @p588 :rule scope :premises (@p42)) % 0.46/0.64 (step @p43 :rule process_scope :premises (@p588) :args (@t152)) % 0.46/0.64 (step @p45 :rule implies_elim :premises (@p43)) % 0.46/0.64 (assume-push @p589 @t148) % 0.46/0.64 (step @p47 :rule instantiate :premises (@p589) :args ((@list @t128))) % 0.46/0.64 (step-pop @p590 :rule scope :premises (@p47)) % 0.46/0.64 (step @p48 :rule process_scope :premises (@p590) :args (@t153)) % 0.46/0.64 (step @p50 :rule implies_elim :premises (@p48)) % 0.46/0.64 (step @p51 :rule bool-double-not-elim :args (@t130)) % 0.46/0.64 (step @p52 :rule refl :args (@t132)) % 0.46/0.64 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t132 (not @t131)))) % 0.46/0.64 (step @p54 :rule cnf_or_neg :args (@t132 0)) % 0.46/0.64 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.46/0.64 (step @p56 :rule reordering :premises (@p55) :args ((or @t130 @t132))) % 0.46/0.64 (step @p57 :rule cnf_or_neg :args (@t132 1)) % 0.46/0.64 (step @p58 :rule cnf_or_pos :args (@t153)) % 0.46/0.64 (step @p59 :rule reordering :premises (@p58) :args ((or @t131 @t129 @t154))) % 0.46/0.64 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args ((or @t132 @t154) @t155 (@list @t129 @t130))) % 0.46/0.64 (step @p61 :rule cnf_and_neg :args (@t142)) % 0.46/0.64 (step @p62 :rule bool-double-not-elim :args (@t139)) % 0.46/0.64 (step @p63 :rule refl :args (@t141)) % 0.46/0.64 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t141 (not @t140)))) % 0.46/0.64 (step @p65 :rule cnf_or_neg :args (@t141 0)) % 0.46/0.64 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.46/0.64 (step @p67 :rule reordering :premises (@p66) :args ((or @t139 @t141))) % 0.46/0.64 (step @p68 :rule cnf_or_neg :args (@t141 1)) % 0.46/0.64 (step @p69 :rule cnf_or_pos :args (@t152)) % 0.46/0.64 (step @p70 :rule reordering :premises (@p69) :args ((or @t140 @t138 (not @t152)))) % 0.46/0.64 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p67 @p61 @p60 @p50 @p45) :args ((or @t149 @t142) (@list true false true false false false) (@list @t138 @t139 @t141 @t132 @t153 @t152))) % 0.46/0.64 (step @p72 :rule refl :args (@t156)) % 0.46/0.64 (step @p73 :rule bool-double-not-elim :args (@t148)) % 0.46/0.64 (step @p74 :rule refl :args (@t150)) % 0.46/0.64 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((or @t150 (not @t149) @t156))) % 0.46/0.64 (step @p76 :rule cnf_and_neg :args (@t150)) % 0.46/0.64 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.46/0.64 (step @p78 :rule reordering :premises (@p77) :args ((or @t148 @t150 @t156))) % 0.46/0.64 (step @p79 :rule bool-double-not-elim :args (@t145)) % 0.46/0.64 (step @p80 :rule refl :args (@t147)) % 0.46/0.64 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t147 (not @t146)))) % 0.46/0.64 (step @p82 :rule cnf_or_neg :args (@t147 0)) % 0.46/0.64 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.46/0.64 (step @p84 :rule reordering :premises (@p83) :args ((or @t145 @t147))) % 0.46/0.64 (step @p85 :rule bool-double-not-elim :args (@t143)) % 0.46/0.64 (step @p86 :rule nary_cong :premises (@p80 @p85) :args ((or @t147 (not @t144)))) % 0.46/0.64 (step @p87 :rule cnf_or_neg :args (@t147 1)) % 0.46/0.64 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.46/0.64 (step @p89 :rule reordering :premises (@p88) :args ((or @t143 @t147))) % 0.46/0.64 (assume-push @p591 @t145) % 0.46/0.64 (step @p91 :rule instantiate :premises (@p591) :args ((@list @t133))) % 0.46/0.64 (step-pop @p592 :rule scope :premises (@p91)) % 0.46/0.64 (step @p92 :rule process_scope :premises (@p592) :args (@t157)) % 0.46/0.64 (step @p94 :rule implies_elim :premises (@p92)) % 0.46/0.64 (assume-push @p593 @t143) % 0.46/0.64 (step @p96 :rule instantiate :premises (@p593) :args ((@list @t123))) % 0.46/0.64 (step-pop @p594 :rule scope :premises (@p96)) % 0.46/0.64 (step @p97 :rule process_scope :premises (@p594) :args (@t158)) % 0.46/0.64 (step @p99 :rule implies_elim :premises (@p97)) % 0.46/0.64 (step @p100 :rule bool-double-not-elim :args (@t126)) % 0.46/0.64 (step @p101 :rule nary_cong :premises (@p52 @p100) :args ((or @t132 (not @t127)))) % 0.46/0.64 (step @p102 :rule cnf_or_neg :args (@t132 2)) % 0.46/0.64 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.46/0.64 (step @p104 :rule reordering :premises (@p103) :args ((or @t126 @t132))) % 0.46/0.64 (step @p105 :rule cnf_or_neg :args (@t132 3)) % 0.46/0.64 (step @p106 :rule cnf_or_pos :args (@t158)) % 0.46/0.64 (step @p107 :rule reordering :premises (@p106) :args ((or @t127 @t124 @t159))) % 0.46/0.64 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p104) :args ((or @t132 @t159) @t155 (@list @t124 @t126))) % 0.46/0.64 (step @p109 :rule bool-double-not-elim :args (@t135)) % 0.46/0.64 (step @p110 :rule nary_cong :premises (@p63 @p109) :args ((or @t141 (not @t136)))) % 0.46/0.64 (step @p111 :rule cnf_or_neg :args (@t141 2)) % 0.46/0.64 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.46/0.64 (step @p113 :rule reordering :premises (@p112) :args ((or @t135 @t141))) % 0.46/0.64 (step @p114 :rule cnf_or_neg :args (@t141 3)) % 0.46/0.64 (step @p115 :rule cnf_or_pos :args (@t157)) % 0.46/0.64 (step @p116 :rule reordering :premises (@p115) :args ((or @t136 @t134 (not @t157)))) % 0.46/0.64 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p113 @p61 @p108 @p99 @p94 @p89 @p84 @p78 @p71 @p40 @p39) :args (@t151 (@list true false true false false false false false true true true true) (@list @t134 @t135 @t141 @t132 @t158 @t157 @t143 @t145 @t147 @t148 @t142 @t150))) % 0.46/0.64 (step @p118 :rule refl :args (@t160)) % 0.46/0.64 (step @p119 :rule bool-double-not-elim :args (@t122)) % 0.46/0.64 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t161) @t160))) % 0.46/0.64 (assume-push @p595 @t161) % 0.46/0.64 (step @p122 :rule skolemize :premises (@p595)) % 0.46/0.64 (step-pop @p596 :rule scope :premises (@p122)) % 0.46/0.64 (step @p123 :rule process_scope :premises (@p596) :args (@t160)) % 0.46/0.64 (step @p125 :rule implies_elim :premises (@p123)) % 0.46/0.64 (step @p126 :rule eq_resolve :premises (@p125 @p120)) % 0.46/0.64 (step @p127 :rule chain_m_resolution :premises (@p126 @p117) :args (@t122 @t162 (@list @t151))) % 0.46/0.64 (step @p128 :rule quant-merge-prenex :args ((= @t192 @t190))) % 0.46/0.64 (step @p129 :rule quant-merge-prenex :args ((= @t194 @t122))) % 0.46/0.64 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((and @t194 @t192))) % 0.46/0.64 (step @p131 :rule alpha_equiv :args (@t199 @t200 (@list @t188))) % 0.46/0.64 (step @p132 :rule alpha_equiv :args (@t202 @t200 (@list @t120))) % 0.46/0.64 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t203)) % 0.46/0.64 (step @p134 :rule quant-miniscope-and :args ((= (forall @t33 (and @t201 @t198)) @t203))) % 0.46/0.64 (step @p135 :rule trans :premises (@p134 @p133)) % 0.46/0.64 (step @p136 :rule trans :premises (@p135 @p130)) % 0.46/0.64 (step @p137 :rule 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scope :premises (@p582)) % 0.46/0.64 (step @p583 :rule process_scope :premises (@p604) :args (@t420)) % 0.46/0.64 (step @p585 :rule implies_elim :premises (@p583)) % 0.46/0.64 (step @p586 false :rule chain_m_resolution :premises (@p585 @p580 @p561) :args (false @t155 (@list @t420 @t424))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------