%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET576^7 : 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 : n009.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 08:48:04 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET576^7 : TPTP v9.2.1. Released v5.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:02:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.44/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort tptp.mu 0) % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.disjoint (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.intersect (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.member (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.67 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.67 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.67 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.44/0.67 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.44/0.67 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.67 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.67 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.67 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.67 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.67 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.67 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.67 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.67 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.67 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.67 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.67 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.67 (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)))))))) % 0.44/0.67 (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)))))))) % 0.44/0.67 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.44/0.67 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.44/0.67 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.44/0.67 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.44/0.67 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.44/0.67 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.44/0.67 (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))))))))))))) % 0.44/0.67 (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)))))) % 0.44/0.67 (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)))))) % 0.44/0.67 (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))))))) % 0.44/0.67 (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))))))) % 0.44/0.67 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.44/0.67 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.44/0.67 (define @t1 () (@var "V" $$unsorted)) % 0.44/0.67 (define @t2 () (@var "X" tptp.mu)) % 0.44/0.67 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.44/0.67 (define @t4 () (_ @t3 @t1)) % 0.44/0.67 (define @t5 () (@list @t2)) % 0.44/0.67 (define @t6 () (@list @t1)) % 0.44/0.67 (define @t7 () (@var "W" $$unsorted)) % 0.44/0.67 (define @t8 () (_ @t3 @t7)) % 0.44/0.67 (define @t9 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.67 (define @t10 () (@var "C" tptp.mu)) % 0.44/0.67 (define @t11 () (@var "D" tptp.mu)) % 0.44/0.67 (define @t12 () (_ tptp.member @t11)) % 0.44/0.67 (define @t13 () (_ @t12 @t10)) % 0.44/0.67 (define @t14 () (@var "B" tptp.mu)) % 0.44/0.67 (define @t15 () (_ @t12 @t14)) % 0.44/0.67 (define @t16 () (@list @t11 @t9)) % 0.44/0.67 (define @t17 () (lambda @t16 (_ (_ (_ tptp.mand @t15) @t13) @t9))) % 0.44/0.67 (define @t18 () (_ tptp.intersect @t14)) % 0.44/0.67 (define @t19 () (_ @t18 @t10)) % 0.44/0.67 (define @t20 () (@list @t10 @t9)) % 0.44/0.67 (define @t21 () (lambda @t20 (_ (_ (_ tptp.mequiv @t19) (_ tptp.mexists_ind @t17)) @t9))) % 0.44/0.67 (define @t22 () (@list @t14 @t9)) % 0.44/0.67 (define @t23 () (lambda @t22 (_ (_ tptp.mforall_ind @t21) @t9))) % 0.44/0.67 (define @t24 () (_ tptp.disjoint @t14)) % 0.44/0.67 (define @t25 () (_ @t24 @t10)) % 0.44/0.67 (define @t26 () (lambda @t20 (_ (_ (_ tptp.mequiv @t25) (_ tptp.mnot @t19)) @t9))) % 0.44/0.67 (define @t27 () (lambda @t22 (_ (_ tptp.mforall_ind @t26) @t9))) % 0.44/0.67 (define @t28 () (lambda @t16 (_ (_ (_ tptp.mimplies @t15) (_ tptp.mnot @t13)) @t9))) % 0.44/0.67 (define @t29 () (lambda @t20 (_ (_ (_ tptp.mimplies (_ tptp.mforall_ind @t28)) @t25) @t9))) % 0.44/0.67 (define @t30 () (lambda @t22 (_ (_ tptp.mforall_ind @t29) @t9))) % 0.44/0.67 (define @t31 () (not (_ tptp.mvalid (_ tptp.mforall_ind @t30)))) % 0.44/0.67 (define @t32 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.67 (define @t33 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.67 (define @t34 () (lambda (@list @t33 @t32 @t7) (= (_ @t33 @t7) (_ @t32 @t7)))) % 0.44/0.67 (define @t35 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.67 (define @t36 () (_ @t35 @t7)) % 0.44/0.67 (define @t37 () (not @t36)) % 0.44/0.67 (define @t38 () (@list @t35 @t7)) % 0.44/0.67 (define @t39 () (lambda @t38 @t37)) % 0.44/0.67 (define @t40 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.67 (define @t41 () (_ @t40 @t7)) % 0.44/0.67 (define @t42 () (lambda (@list @t35 @t40 @t7) (or @t36 @t41))) % 0.44/0.67 (define @t43 () (_ @t35 @t1)) % 0.44/0.67 (define @t44 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.67 (define @t45 () (lambda (@list @t44 @t35 @t7) (forall @t6 (or (not (_ (_ @t44 @t7) @t1)) @t43)))) % 0.44/0.67 (define @t46 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.67 (define @t47 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.67 (define @t48 () (_ @t47 @t46)) % 0.44/0.67 (define @t49 () (lambda (@list @t47 @t7) (forall (@list @t46) (_ @t48 @t7)))) % 0.44/0.67 (define @t50 () (@list @t7)) % 0.44/0.67 (define @t51 () (lambda @t50 true)) % 0.44/0.67 (define @t52 () (_ tptp.mnot @t40)) % 0.44/0.67 (define @t53 () (_ tptp.mnot @t35)) % 0.44/0.67 (define @t54 () (_ tptp.mor @t53)) % 0.44/0.67 (define @t55 () (@list @t35 @t40 @t9)) % 0.44/0.67 (define @t56 () (lambda @t55 (_ (_ tptp.mnot (_ @t54 @t52)) @t9))) % 0.44/0.67 (define @t57 () (lambda @t55 (_ (_ @t54 @t40) @t9))) % 0.44/0.67 (define @t58 () (lambda @t55 (_ (_ (_ tptp.mor @t52) @t35) @t9))) % 0.44/0.67 (define @t59 () (lambda @t55 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t35) @t40)) (_ (_ tptp.mimplies @t40) @t35)) @t9))) % 0.44/0.67 (define @t60 () (lambda @t55 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t35) @t40)) @t9))) % 0.44/0.67 (define @t61 () (lambda (@list @t44 @t35 @t9) (_ (_ tptp.mnot (_ (_ tptp.mbox @t44) @t53)) @t9))) % 0.44/0.67 (define @t62 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.67 (define @t63 () (_ @t62 @t2)) % 0.44/0.67 (define @t64 () (_ @t63 @t7)) % 0.44/0.67 (define @t65 () (forall @t5 (=> @t8 @t64))) % 0.44/0.67 (define @t66 () (@list @t62 @t7)) % 0.44/0.67 (define @t67 () (lambda @t66 @t65)) % 0.44/0.67 (define @t68 () (@list @t2 @t9)) % 0.44/0.67 (define @t69 () (lambda @t68 (_ (_ tptp.mnot @t63) @t9))) % 0.44/0.67 (define @t70 () (@list @t62 @t9)) % 0.44/0.67 (define @t71 () (lambda @t70 (_ (_ tptp.mnot (_ tptp.mforall_ind @t69)) @t9))) % 0.44/0.67 (define @t72 () (lambda (@list @t47 @t9) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t46 @t9) (_ (_ tptp.mnot @t48) @t9)))) @t9))) % 0.44/0.67 (define @t73 () (@var "S" $$unsorted)) % 0.44/0.67 (define @t74 () (_ @t44 @t73)) % 0.44/0.67 (define @t75 () (@list @t73)) % 0.44/0.67 (define @t76 () (@list @t44)) % 0.44/0.67 (define @t77 () (lambda @t76 (forall @t75 (_ @t74 @t73)))) % 0.44/0.67 (define @t78 () (@var "T" $$unsorted)) % 0.44/0.67 (define @t79 () (_ @t44 @t78)) % 0.44/0.67 (define @t80 () (_ @t74 @t78)) % 0.44/0.67 (define @t81 () (lambda @t76 (forall (@list @t73 @t78) (=> @t80 (_ @t79 @t73))))) % 0.44/0.67 (define @t82 () (@list @t78)) % 0.44/0.67 (define @t83 () (lambda @t76 (forall @t75 (exists @t82 @t80)))) % 0.44/0.67 (define @t84 () (@var "U" $$unsorted)) % 0.44/0.67 (define @t85 () (_ @t74 @t84)) % 0.44/0.67 (define @t86 () (_ @t79 @t84)) % 0.44/0.67 (define @t87 () (@list @t73 @t78 @t84)) % 0.44/0.67 (define @t88 () (lambda @t76 (forall @t87 (=> (and @t80 @t86) @t85)))) % 0.44/0.67 (define @t89 () (and @t80 @t85)) % 0.44/0.67 (define @t90 () (lambda @t76 (forall @t87 (=> @t89 @t86)))) % 0.44/0.67 (define @t91 () (= @t78 @t84)) % 0.44/0.67 (define @t92 () (lambda @t76 (forall @t87 (=> @t89 @t91)))) % 0.44/0.67 (define @t93 () (@list @t84)) % 0.44/0.67 (define @t94 () (lambda @t76 (forall @t75 (exists @t82 (and @t80 (forall @t93 (=> @t85 @t91))))))) % 0.44/0.67 (define @t95 () (_ @t44 @t84)) % 0.44/0.67 (define @t96 () (_ @t95 @t78)) % 0.44/0.67 (define @t97 () (lambda @t76 (forall @t87 (=> @t80 (exists @t93 (and @t85 @t96)))))) % 0.44/0.67 (define @t98 () (lambda @t76 (forall @t87 (=> @t89 (or @t86 @t91 @t96))))) % 0.44/0.67 (define @t99 () (lambda @t76 (forall @t87 (=> @t89 (exists @t6 (and (_ @t79 @t1) (_ @t95 @t1))))))) % 0.44/0.67 (define @t100 () (forall @t50 @t36)) % 0.44/0.67 (define @t101 () (@list @t35)) % 0.44/0.67 (define @t102 () (lambda @t101 @t100)) % 0.44/0.67 (define @t103 () (lambda @t101 (exists @t50 @t36))) % 0.44/0.67 (define @t104 () (lambda @t101 (exists @t50 @t37))) % 0.44/0.67 (define @t105 () (lambda @t101 (forall @t50 @t37))) % 0.44/0.67 (define @t106 () (lambda @t38 (forall @t6 (or (not (_ (_ tptp.rel_s4 @t7) @t1)) @t43)))) % 0.44/0.67 (define @t107 () (lambda (@list @t35 @t9) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t53)) @t9))) % 0.44/0.67 (define @t108 () (@var "BOUND_VARIABLE_9127" tptp.mu)) % 0.44/0.67 (define @t109 () (tptp.disjoint @t2 @t108 @t7)) % 0.44/0.67 (define @t110 () (@var "BOUND_VARIABLE_9054" tptp.mu)) % 0.44/0.67 (define @t111 () (not (tptp.member @t110 @t2 @t7))) % 0.44/0.67 (define @t112 () (not (tptp.exists_in_world @t110 @t7))) % 0.44/0.67 (define @t113 () (@list @t110)) % 0.44/0.67 (define @t114 () (not (forall @t113 (or @t112 @t111 (not (tptp.member @t110 @t108 @t7)))))) % 0.44/0.67 (define @t115 () (not (tptp.exists_in_world @t108 @t7))) % 0.44/0.67 (define @t116 () (tptp.exists_in_world @t2 @t7)) % 0.44/0.67 (define @t117 () (not @t116)) % 0.44/0.67 (define @t118 () (or @t117 @t115 @t114 @t109)) % 0.44/0.67 (define @t119 () (forall (@list @t7 @t2 @t108) @t118)) % 0.44/0.67 (define @t120 () (@list @t2 @t108)) % 0.44/0.67 (define @t121 () (forall @t120 @t118)) % 0.44/0.67 (define @t122 () (lambda @t50 @t121)) % 0.44/0.67 (define @t123 () (_ @t122 @t7)) % 0.44/0.67 (define @t124 () (forall @t50 @t123)) % 0.44/0.67 (define @t125 () (_ @t35 @t7)) % 0.44/0.67 (define @t126 () (lambda @t101 (forall @t50 @t125))) % 0.44/0.67 (define @t127 () (or @t115 @t114 @t109)) % 0.44/0.67 (define @t128 () (or @t117 @t127)) % 0.44/0.67 (define @t129 () (forall @t120 @t128)) % 0.44/0.67 (define @t130 () (@list @t108)) % 0.44/0.67 (define @t131 () (forall @t130 @t128)) % 0.44/0.67 (define @t132 () (forall @t130 @t127)) % 0.44/0.67 (define @t133 () (@var "BOUND_VARIABLE_9100" tptp.mu)) % 0.44/0.67 (define @t134 () (@list @t133)) % 0.44/0.67 (define @t135 () (or @t117 @t132)) % 0.44/0.67 (define @t136 () (@list @t133)) % 0.44/0.67 (define @t137 () (forall @t136 (or (not (tptp.exists_in_world @t133 @t7)) (not (forall @t113 (or @t112 @t111 (not (tptp.member @t110 @t133 @t7))))) (tptp.disjoint @t2 @t133 @t7)))) % 0.44/0.67 (define @t138 () (not (tptp.member @t110 @t14 @t9))) % 0.44/0.67 (define @t139 () (not (tptp.exists_in_world @t110 @t9))) % 0.44/0.67 (define @t140 () (tptp.disjoint @t14 @t2 @t9)) % 0.44/0.67 (define @t141 () (not (tptp.exists_in_world @t2 @t9))) % 0.44/0.67 (define @t142 () (forall @t5 (or @t141 (not (forall @t113 (or @t139 @t138 (not (tptp.member @t110 @t2 @t9))))) @t140))) % 0.44/0.67 (define @t143 () (@list @t2)) % 0.44/0.67 (define @t144 () (lambda @t22 @t142)) % 0.44/0.67 (define @t145 () (or @t117 (_ @t144 @t2 @t7))) % 0.44/0.67 (define @t146 () (forall @t5 @t145)) % 0.44/0.67 (define @t147 () (lambda @t50 @t146)) % 0.44/0.67 (define @t148 () (_ @t62 @t2 @t7)) % 0.44/0.67 (define @t149 () (lambda @t66 (forall @t5 (or @t117 @t148)))) % 0.44/0.67 (define @t150 () (tptp.disjoint @t14 @t2 @t7)) % 0.44/0.67 (define @t151 () (not (forall @t113 (or @t112 (not (tptp.member @t110 @t14 @t7)) @t111)))) % 0.44/0.67 (define @t152 () (_ (_ @t24 @t2) @t7)) % 0.44/0.67 (define @t153 () (or @t117 @t151 @t152)) % 0.44/0.67 (define @t154 () (or @t151 @t152)) % 0.44/0.67 (define @t155 () (_ @t25 @t9)) % 0.44/0.67 (define @t156 () (tptp.member @t2 @t10 @t9)) % 0.44/0.67 (define @t157 () (tptp.member @t2 @t14 @t9)) % 0.44/0.67 (define @t158 () (forall @t5 (or @t141 (not @t157) (not @t156)))) % 0.44/0.67 (define @t159 () (@list @t110)) % 0.44/0.67 (define @t160 () (not @t158)) % 0.44/0.67 (define @t161 () (or @t160 @t155)) % 0.44/0.67 (define @t162 () (lambda @t20 @t161)) % 0.44/0.67 (define @t163 () (or @t117 (_ @t162 @t2 @t7))) % 0.44/0.67 (define @t164 () (forall @t5 @t163)) % 0.44/0.67 (define @t165 () (lambda @t50 @t164)) % 0.44/0.67 (define @t166 () (@list @t9)) % 0.44/0.67 (define @t167 () (lambda @t166 @t161)) % 0.44/0.67 (define @t168 () (_ @t40 @t9)) % 0.44/0.67 (define @t169 () (@list @t40 @t9)) % 0.44/0.67 (define @t170 () (tptp.member @t2 @t10 @t7)) % 0.44/0.67 (define @t171 () (tptp.member @t2 @t14 @t7)) % 0.44/0.67 (define @t172 () (lambda @t50 (forall @t5 (or @t117 (not @t171) (not @t170))))) % 0.44/0.67 (define @t173 () (_ @t172 @t9)) % 0.44/0.67 (define @t174 () (not @t173)) % 0.44/0.67 (define @t175 () (or @t174 @t168)) % 0.44/0.67 (define @t176 () (lambda @t169 @t175)) % 0.44/0.67 (define @t177 () (_ @t35 @t9)) % 0.44/0.67 (define @t178 () (not @t177)) % 0.44/0.67 (define @t179 () (or @t178 @t168)) % 0.44/0.67 (define @t180 () (lambda @t55 @t179)) % 0.44/0.67 (define @t181 () (_ tptp.member @t2)) % 0.44/0.67 (define @t182 () (_ @t181 @t10)) % 0.44/0.67 (define @t183 () (_ @t182 @t7)) % 0.44/0.67 (define @t184 () (not @t183)) % 0.44/0.67 (define @t185 () (_ @t181 @t14)) % 0.44/0.67 (define @t186 () (_ @t185 @t7)) % 0.44/0.67 (define @t187 () (not @t186)) % 0.44/0.67 (define @t188 () (or @t117 @t187 @t184)) % 0.44/0.67 (define @t189 () (or @t187 @t184)) % 0.44/0.67 (define @t190 () (not (_ @t13 @t9))) % 0.44/0.67 (define @t191 () (not (_ @t15 @t9))) % 0.44/0.67 (define @t192 () (or @t191 @t190)) % 0.44/0.67 (define @t193 () (lambda @t16 @t192)) % 0.44/0.67 (define @t194 () (_ @t193 @t2 @t7)) % 0.44/0.67 (define @t195 () (or @t117 @t194)) % 0.44/0.67 (define @t196 () (forall @t5 @t195)) % 0.44/0.67 (define @t197 () (lambda @t50 @t196)) % 0.44/0.67 (define @t198 () (lambda @t50 (not (_ @t13 @t7)))) % 0.44/0.67 (define @t199 () (_ @t198 @t9)) % 0.44/0.67 (define @t200 () (or @t191 @t199)) % 0.44/0.67 (define @t201 () (lambda @t166 @t200)) % 0.44/0.67 (define @t202 () (lambda @t169 (or @t191 @t168))) % 0.44/0.67 (define @t203 () (_ @t39 @t13)) % 0.44/0.67 (define @t204 () (_ @t180 @t15)) % 0.44/0.67 (define @t205 () (lambda @t16 (_ (_ @t204 @t203) @t9))) % 0.44/0.67 (define @t206 () (lambda @t20 (_ (_ (_ @t180 (_ @t149 @t205)) @t25) @t9))) % 0.44/0.67 (define @t207 () (lambda @t22 (_ (_ @t149 @t206) @t9))) % 0.44/0.67 (define @t208 () (or @t37 @t41)) % 0.44/0.67 (define @t209 () (lambda @t50 @t208)) % 0.44/0.67 (define @t210 () (@list @t40 @t7)) % 0.44/0.67 (define @t211 () (lambda @t210 @t208)) % 0.44/0.67 (define @t212 () (lambda @t50 @t37)) % 0.44/0.67 (define @t213 () (_ @t212 @t7)) % 0.44/0.67 (define @t214 () (or @t213 @t41)) % 0.44/0.67 (define @t215 () (lambda @t210 @t214)) % 0.44/0.67 (define @t216 () (not @t8)) % 0.44/0.67 (define @t217 () (or @t216 @t64)) % 0.44/0.67 (define @t218 () (@quantifiers_skolemize @t119 0)) % 0.44/0.67 (define @t219 () (@quantifiers_skolemize @t119 2)) % 0.44/0.67 (define @t220 () (@quantifiers_skolemize @t119 1)) % 0.44/0.67 (define @t221 () (forall @t113 (or (not (tptp.exists_in_world @t110 @t218)) (not (tptp.member @t110 @t220 @t218)) (not (tptp.member @t110 @t219 @t218))))) % 0.44/0.67 (define @t222 () (tptp.disjoint @t220 @t219 @t218)) % 0.44/0.67 (define @t223 () (not @t221)) % 0.44/0.67 (define @t224 () (tptp.exists_in_world @t219 @t218)) % 0.44/0.67 (define @t225 () (not @t224)) % 0.44/0.67 (define @t226 () (tptp.exists_in_world @t220 @t218)) % 0.44/0.67 (define @t227 () (not @t226)) % 0.44/0.67 (define @t228 () (or @t227 @t225 @t223 @t222)) % 0.44/0.67 (define @t229 () (@list true)) % 0.44/0.67 (define @t230 () (@list @t228)) % 0.44/0.67 (define @t231 () (@var "BOUND_VARIABLE_8592" tptp.mu)) % 0.44/0.67 (define @t232 () (@list @t231)) % 0.44/0.67 (define @t233 () (@list @t231)) % 0.44/0.67 (define @t234 () (forall @t233 (or (not (tptp.exists_in_world @t231 @t218)) (not (tptp.member @t231 @t220 @t218)) (not (tptp.member @t231 @t219 @t218))))) % 0.44/0.67 (define @t235 () (@list false)) % 0.44/0.67 (define @t236 () (@var "BOUND_VARIABLE_8876" tptp.mu)) % 0.44/0.67 (define @t237 () (tptp.disjoint @t2 @t236 @t7)) % 0.44/0.67 (define @t238 () (tptp.intersect @t2 @t236 @t7)) % 0.44/0.67 (define @t239 () (and (or (not @t237) (not @t238)) (or @t238 @t237))) % 0.44/0.67 (define @t240 () (not (tptp.exists_in_world @t236 @t7))) % 0.44/0.67 (define @t241 () (or @t117 @t240 @t239)) % 0.44/0.67 (define @t242 () (@list @t2 @t236)) % 0.44/0.67 (define @t243 () (forall @t242 @t241)) % 0.44/0.67 (define @t244 () (lambda @t50 @t243)) % 0.44/0.67 (define @t245 () (_ @t244 @t7)) % 0.44/0.67 (define @t246 () (forall @t50 @t245)) % 0.44/0.67 (define @t247 () (or @t240 @t239)) % 0.44/0.67 (define @t248 () (or @t117 @t247)) % 0.44/0.67 (define @t249 () (forall @t242 @t248)) % 0.44/0.67 (define @t250 () (@list @t236)) % 0.44/0.67 (define @t251 () (forall @t250 @t248)) % 0.44/0.67 (define @t252 () (forall @t250 @t247)) % 0.44/0.67 (define @t253 () (@var "BOUND_VARIABLE_8847" tptp.mu)) % 0.44/0.67 (define @t254 () (@list @t253)) % 0.44/0.67 (define @t255 () (or @t117 @t252)) % 0.44/0.67 (define @t256 () (tptp.disjoint @t2 @t253 @t7)) % 0.44/0.67 (define @t257 () (tptp.intersect @t2 @t253 @t7)) % 0.44/0.67 (define @t258 () (@list @t253)) % 0.44/0.67 (define @t259 () (forall @t258 (or (not (tptp.exists_in_world @t253 @t7)) (and (or (not @t256) (not @t257)) (or @t257 @t256))))) % 0.44/0.67 (define @t260 () (tptp.disjoint @t14 @t253 @t9)) % 0.44/0.67 (define @t261 () (tptp.intersect @t14 @t253 @t9)) % 0.44/0.67 (define @t262 () (tptp.intersect @t14 @t2 @t9)) % 0.44/0.67 (define @t263 () (not @t262)) % 0.44/0.67 (define @t264 () (forall @t5 (or @t141 (and (or (not @t140) @t263) (or @t262 @t140))))) % 0.44/0.67 (define @t265 () (lambda @t22 @t264)) % 0.44/0.67 (define @t266 () (or @t117 (_ @t265 @t2 @t7))) % 0.44/0.67 (define @t267 () (forall @t5 @t266)) % 0.44/0.67 (define @t268 () (lambda @t50 @t267)) % 0.44/0.67 (define @t269 () (tptp.intersect @t14 @t2 @t7)) % 0.44/0.67 (define @t270 () (not @t269)) % 0.44/0.67 (define @t271 () (_ (_ @t18 @t2) @t7)) % 0.44/0.67 (define @t272 () (or @t271 @t152)) % 0.44/0.67 (define @t273 () (not @t271)) % 0.44/0.67 (define @t274 () (not @t152)) % 0.44/0.67 (define @t275 () (or @t274 @t273)) % 0.44/0.67 (define @t276 () (and @t275 @t272)) % 0.44/0.67 (define @t277 () (or @t117 @t276)) % 0.44/0.67 (define @t278 () (not @t272)) % 0.44/0.67 (define @t279 () (not @t275)) % 0.44/0.67 (define @t280 () (not (or @t279 @t278))) % 0.44/0.67 (define @t281 () (or @t117 @t280)) % 0.44/0.67 (define @t282 () (_ @t19 @t9)) % 0.44/0.67 (define @t283 () (not @t282)) % 0.44/0.67 (define @t284 () (not @t155)) % 0.44/0.67 (define @t285 () (not (or (not (or @t284 @t283)) (not (or @t282 @t155))))) % 0.44/0.67 (define @t286 () (lambda @t20 @t285)) % 0.44/0.67 (define @t287 () (_ @t286 @t2 @t7)) % 0.44/0.67 (define @t288 () (or @t117 @t287)) % 0.44/0.67 (define @t289 () (forall @t5 @t288)) % 0.44/0.67 (define @t290 () (lambda @t50 @t289)) % 0.44/0.67 (define @t291 () (lambda @t50 (not (_ @t19 @t7)))) % 0.44/0.67 (define @t292 () (_ @t291 @t9)) % 0.44/0.67 (define @t293 () (not @t292)) % 0.44/0.67 (define @t294 () (or @t293 @t155)) % 0.44/0.67 (define @t295 () (not @t294)) % 0.44/0.67 (define @t296 () (or @t284 @t292)) % 0.44/0.67 (define @t297 () (not @t296)) % 0.44/0.67 (define @t298 () (or @t297 @t295)) % 0.44/0.67 (define @t299 () (not @t298)) % 0.44/0.67 (define @t300 () (lambda @t166 @t299)) % 0.44/0.67 (define @t301 () (not @t168)) % 0.44/0.67 (define @t302 () (lambda @t169 (not (or (not (or @t284 @t168)) (not (or @t301 @t155)))))) % 0.44/0.67 (define @t303 () (_ @t39 @t19)) % 0.44/0.67 (define @t304 () (or @t301 @t177)) % 0.44/0.67 (define @t305 () (not @t179)) % 0.44/0.67 (define @t306 () (not (or @t305 (not @t304)))) % 0.44/0.67 (define @t307 () (lambda @t55 @t306)) % 0.44/0.67 (define @t308 () (_ @t307 @t25)) % 0.44/0.67 (define @t309 () (lambda @t20 (_ (_ @t308 @t303) @t9))) % 0.44/0.67 (define @t310 () (lambda @t166 @t304)) % 0.44/0.67 (define @t311 () (_ @t310 @t9)) % 0.44/0.67 (define @t312 () (not @t311)) % 0.44/0.67 (define @t313 () (or @t305 @t312)) % 0.44/0.67 (define @t314 () (not @t313)) % 0.44/0.67 (define @t315 () (lambda @t166 @t314)) % 0.44/0.67 (define @t316 () (@var "BOUND_VARIABLE_7630" (-> $$unsorted Bool))) % 0.44/0.67 (define @t317 () (not (_ @t316 @t9))) % 0.44/0.67 (define @t318 () (@list @t316 @t9)) % 0.44/0.67 (define @t319 () (@var "BOUND_VARIABLE_7650" (-> $$unsorted Bool))) % 0.44/0.67 (define @t320 () (_ @t319 @t9)) % 0.44/0.67 (define @t321 () (lambda (@list @t319 @t9) (or @t301 @t320))) % 0.44/0.67 (define @t322 () (@list @t40)) % 0.44/0.67 (define @t323 () (lambda @t166 @t179)) % 0.44/0.67 (define @t324 () (_ @t323 @t9)) % 0.44/0.67 (define @t325 () (not @t324)) % 0.44/0.67 (define @t326 () (or @t325 @t317)) % 0.44/0.67 (define @t327 () (not @t326)) % 0.44/0.67 (define @t328 () (lambda @t318 @t327)) % 0.44/0.67 (define @t329 () (not (or @t178 @t301))) % 0.44/0.67 (define @t330 () (lambda @t55 @t329)) % 0.44/0.67 (define @t331 () (lambda @t169 @t179)) % 0.44/0.67 (define @t332 () (not @t41)) % 0.44/0.67 (define @t333 () (or @t37 @t332)) % 0.44/0.67 (define @t334 () (lambda @t50 @t333)) % 0.44/0.67 (define @t335 () (_ @t334 @t7)) % 0.44/0.67 (define @t336 () (not @t335)) % 0.44/0.67 (define @t337 () (lambda @t50 @t336)) % 0.44/0.67 (define @t338 () (lambda @t50 @t332)) % 0.44/0.67 (define @t339 () (_ @t338 @t7)) % 0.44/0.67 (define @t340 () (or @t37 @t339)) % 0.44/0.67 (define @t341 () (lambda @t50 @t340)) % 0.44/0.67 (define @t342 () (tptp.intersect @t220 @t219 @t218)) % 0.44/0.67 (define @t343 () (or @t342 @t222)) % 0.44/0.67 (define @t344 () (not @t342)) % 0.44/0.67 (define @t345 () (not @t222)) % 0.44/0.67 (define @t346 () (and (or @t345 @t344) @t343)) % 0.44/0.67 (define @t347 () (or @t227 @t225 @t346)) % 0.44/0.67 (define @t348 () (@list false false false)) % 0.44/0.67 (define @t349 () (not @t234)) % 0.44/0.67 (define @t350 () (or @t344 @t349)) % 0.44/0.67 (define @t351 () (not @t350)) % 0.44/0.67 (define @t352 () (@var "BOUND_VARIABLE_8726" tptp.mu)) % 0.44/0.67 (define @t353 () (@var "BOUND_VARIABLE_8728" tptp.mu)) % 0.44/0.67 (define @t354 () (tptp.intersect @t2 @t352 @t7)) % 0.44/0.67 (define @t355 () (not (tptp.member @t231 @t2 @t7))) % 0.44/0.67 (define @t356 () (not (tptp.exists_in_world @t231 @t7))) % 0.44/0.67 (define @t357 () (and (or (not @t354) (not (forall @t233 (or @t356 @t355 (not (tptp.member @t231 @t352 @t7)))))) (or @t354 (not (tptp.exists_in_world @t353 @t7)) (not (tptp.member @t353 @t2 @t7)) (not (tptp.member @t353 @t352 @t7))))) % 0.44/0.67 (define @t358 () (not (tptp.exists_in_world @t352 @t7))) % 0.44/0.67 (define @t359 () (or @t117 @t358 @t357)) % 0.44/0.67 (define @t360 () (@list @t2 @t352 @t353)) % 0.44/0.67 (define @t361 () (forall @t360 @t359)) % 0.44/0.67 (define @t362 () (lambda @t50 @t361)) % 0.44/0.67 (define @t363 () (_ @t362 @t7)) % 0.44/0.67 (define @t364 () (forall @t50 @t363)) % 0.44/0.67 (define @t365 () (or @t358 @t357)) % 0.44/0.67 (define @t366 () (or @t117 @t365)) % 0.44/0.67 (define @t367 () (forall @t360 @t366)) % 0.44/0.67 (define @t368 () (@list @t352 @t353)) % 0.44/0.67 (define @t369 () (forall @t368 @t366)) % 0.44/0.67 (define @t370 () (forall @t368 @t365)) % 0.44/0.67 (define @t371 () (@var "BOUND_VARIABLE_8642" tptp.mu)) % 0.44/0.67 (define @t372 () (@var "BOUND_VARIABLE_8687" tptp.mu)) % 0.44/0.67 (define @t373 () (or @t117 @t370)) % 0.44/0.67 (define @t374 () (not (tptp.member @t371 @t2 @t7))) % 0.44/0.67 (define @t375 () (not (tptp.exists_in_world @t371 @t7))) % 0.44/0.67 (define @t376 () (tptp.intersect @t2 @t372 @t7)) % 0.44/0.67 (define @t377 () (@list @t372 @t371)) % 0.44/0.67 (define @t378 () (forall @t377 (or (not (tptp.exists_in_world @t372 @t7)) (and (or (not @t376) (not (forall @t233 (or @t356 @t355 (not (tptp.member @t231 @t372 @t7)))))) (or @t376 @t375 @t374 (not (tptp.member @t371 @t372 @t7))))))) % 0.44/0.67 (define @t379 () (not (tptp.member @t371 @t14 @t9))) % 0.44/0.67 (define @t380 () (not (tptp.exists_in_world @t371 @t9))) % 0.44/0.67 (define @t381 () (tptp.intersect @t14 @t372 @t9)) % 0.44/0.67 (define @t382 () (not (tptp.member @t231 @t14 @t9))) % 0.44/0.67 (define @t383 () (not (tptp.exists_in_world @t231 @t9))) % 0.44/0.67 (define @t384 () (@list @t2 @t371)) % 0.44/0.67 (define @t385 () (forall @t384 (or @t141 (and (or @t263 (not (forall @t233 (or @t383 @t382 (not (tptp.member @t231 @t2 @t9)))))) (or @t262 @t380 @t379 (not (tptp.member @t371 @t2 @t9))))))) % 0.44/0.67 (define @t386 () (lambda @t22 @t385)) % 0.44/0.67 (define @t387 () (or @t117 (_ @t386 @t2 @t7))) % 0.44/0.67 (define @t388 () (forall @t5 @t387)) % 0.44/0.67 (define @t389 () (lambda @t50 @t388)) % 0.44/0.67 (define @t390 () (not (tptp.member @t371 @t14 @t7))) % 0.44/0.67 (define @t391 () (or @t269 @t375 @t390 @t374)) % 0.44/0.67 (define @t392 () (forall @t233 (or @t356 (not (tptp.member @t231 @t14 @t7)) @t355))) % 0.44/0.67 (define @t393 () (not @t392)) % 0.44/0.67 (define @t394 () (or @t270 @t393)) % 0.44/0.67 (define @t395 () (or @t375 @t390 @t374)) % 0.44/0.67 (define @t396 () (or @t395 @t269)) % 0.44/0.67 (define @t397 () (and @t394 @t396)) % 0.44/0.67 (define @t398 () (or @t117 @t397)) % 0.44/0.67 (define @t399 () (forall @t384 @t398)) % 0.44/0.67 (define @t400 () (@list @t371)) % 0.44/0.67 (define @t401 () (forall @t400 @t398)) % 0.44/0.67 (define @t402 () (forall @t400 @t395)) % 0.44/0.67 (define @t403 () (or @t402 @t269)) % 0.44/0.67 (define @t404 () (forall @t400 @t396)) % 0.44/0.67 (define @t405 () (forall @t400 @t394)) % 0.44/0.67 (define @t406 () (and @t405 @t404)) % 0.44/0.67 (define @t407 () (forall @t400 @t397)) % 0.44/0.67 (define @t408 () (or @t117 @t407)) % 0.44/0.67 (define @t409 () (or @t392 @t271)) % 0.44/0.67 (define @t410 () (or @t273 @t393)) % 0.44/0.67 (define @t411 () (and @t410 @t409)) % 0.44/0.67 (define @t412 () (or @t117 @t411)) % 0.44/0.67 (define @t413 () (not @t409)) % 0.44/0.67 (define @t414 () (not @t410)) % 0.44/0.67 (define @t415 () (not (or @t414 @t413))) % 0.44/0.67 (define @t416 () (or @t117 @t415)) % 0.44/0.67 (define @t417 () (forall @t233 (or @t383 @t382 (not (tptp.member @t231 @t10 @t9))))) % 0.44/0.67 (define @t418 () (or @t158 @t282)) % 0.44/0.67 (define @t419 () (not @t418)) % 0.44/0.67 (define @t420 () (or @t283 @t160)) % 0.44/0.67 (define @t421 () (not @t420)) % 0.44/0.67 (define @t422 () (or @t421 @t419)) % 0.44/0.67 (define @t423 () (not @t422)) % 0.44/0.67 (define @t424 () (lambda @t20 @t423)) % 0.44/0.67 (define @t425 () (or @t117 (_ @t424 @t2 @t7))) % 0.44/0.67 (define @t426 () (forall @t5 @t425)) % 0.44/0.67 (define @t427 () (lambda @t50 @t426)) % 0.44/0.67 (define @t428 () (lambda @t166 @t160)) % 0.44/0.67 (define @t429 () (_ @t428 @t9)) % 0.44/0.67 (define @t430 () (not @t429)) % 0.44/0.67 (define @t431 () (or @t430 @t282)) % 0.44/0.67 (define @t432 () (not @t431)) % 0.44/0.67 (define @t433 () (or @t283 @t429)) % 0.44/0.67 (define @t434 () (not @t433)) % 0.44/0.67 (define @t435 () (or @t434 @t432)) % 0.44/0.67 (define @t436 () (not @t435)) % 0.44/0.67 (define @t437 () (lambda @t166 @t436)) % 0.44/0.67 (define @t438 () (lambda @t169 (not (or (not (or @t283 @t168)) (not (or @t301 @t282)))))) % 0.44/0.67 (define @t439 () (_ @t182 @t9)) % 0.44/0.67 (define @t440 () (not @t439)) % 0.44/0.67 (define @t441 () (_ @t185 @t9)) % 0.44/0.67 (define @t442 () (not @t441)) % 0.44/0.67 (define @t443 () (or @t141 @t442 @t440)) % 0.44/0.67 (define @t444 () (or @t442 @t440)) % 0.44/0.67 (define @t445 () (not @t192)) % 0.44/0.67 (define @t446 () (lambda @t16 @t445)) % 0.44/0.67 (define @t447 () (_ @t446 @t2 @t9)) % 0.44/0.67 (define @t448 () (not @t447)) % 0.44/0.67 (define @t449 () (or @t141 @t448)) % 0.44/0.67 (define @t450 () (forall @t5 @t449)) % 0.44/0.67 (define @t451 () (not @t450)) % 0.44/0.67 (define @t452 () (lambda @t166 @t451)) % 0.44/0.67 (define @t453 () (not (forall @t5 (or @t141 (not (_ @t62 @t2 @t9)))))) % 0.44/0.67 (define @t454 () (lambda @t70 @t453)) % 0.44/0.67 (define @t455 () (lambda @t166 @t445)) % 0.44/0.67 (define @t456 () (lambda @t169 (not (or @t191 @t301)))) % 0.44/0.67 (define @t457 () (_ @t330 @t15)) % 0.44/0.67 (define @t458 () (lambda @t16 (_ (_ @t457 @t13) @t9))) % 0.44/0.67 (define @t459 () (_ @t307 @t19)) % 0.44/0.67 (define @t460 () (lambda @t20 (_ (_ @t459 (_ @t454 @t458)) @t9))) % 0.44/0.67 (define @t461 () (forall @t5 (or @t117 (not @t148)))) % 0.44/0.67 (define @t462 () (lambda @t50 @t461)) % 0.44/0.67 (define @t463 () (_ @t462 @t7)) % 0.44/0.67 (define @t464 () (not @t463)) % 0.44/0.67 (define @t465 () (lambda @t50 @t464)) % 0.44/0.67 (define @t466 () (not @t64)) % 0.44/0.67 (define @t467 () (or @t117 @t466)) % 0.44/0.67 (define @t468 () (not (_ @t63 @t9))) % 0.44/0.67 (define @t469 () (lambda @t68 @t468)) % 0.44/0.67 (define @t470 () (_ @t469 @t2 @t7)) % 0.44/0.67 (define @t471 () (or @t117 @t470)) % 0.44/0.67 (define @t472 () (forall @t5 @t471)) % 0.44/0.67 (define @t473 () (lambda @t50 @t472)) % 0.44/0.67 (define @t474 () (lambda @t50 @t466)) % 0.44/0.67 (define @t475 () (_ @t39 @t63)) % 0.44/0.67 (define @t476 () (and @t350 (or @t342 @t227 (not (tptp.member @t220 @t220 @t218)) (not (tptp.member @t220 @t219 @t218))))) % 0.44/0.67 (define @t477 () (or @t227 @t225 @t476)) % 0.44/0.67 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.67 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.44/0.67 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.44/0.67 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.44/0.67 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.44/0.67 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_ind @t23))) % 0.44/0.67 (assume @p7 (_ tptp.mvalid (_ tptp.mforall_ind @t27))) % 0.44/0.67 (assume @p8 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies @t19) (_ (_ tptp.intersect @t10) @t14)) @t9))) @t9))))) % 0.44/0.67 (assume @p9 @t31) % 0.44/0.67 (assume @p10 true) % 0.44/0.67 (step @p11 (= tptp.meq_prop @t34) :rule refl :args (@t34)) % 0.44/0.67 (step @p12 (= tptp.mnot @t39) :rule refl :args (@t39)) % 0.44/0.67 (step @p13 (= tptp.mor @t42) :rule refl :args (@t42)) % 0.44/0.67 (step @p14 (= tptp.mbox @t45) :rule refl :args (@t45)) % 0.44/0.67 (step @p15 (= tptp.mforall_prop @t49) :rule refl :args (@t49)) % 0.44/0.67 (step @p16 (= tptp.mtrue @t51) :rule refl :args (@t51)) % 0.44/0.67 (step @p17 (= tptp.mand @t56) :rule refl :args (@t56)) % 0.44/0.67 (step @p18 (= tptp.mimplies @t57) :rule refl :args (@t57)) % 0.44/0.67 (step @p19 (= tptp.mimplied @t58) :rule refl :args (@t58)) % 0.44/0.67 (step @p20 (= tptp.mequiv @t59) :rule refl :args (@t59)) % 0.44/0.67 (step @p21 (= tptp.mxor @t60) :rule refl :args (@t60)) % 0.44/0.67 (step @p22 (= tptp.mdia @t61) :rule refl :args (@t61)) % 0.44/0.67 (step @p23 (= tptp.mforall_ind @t67) :rule refl :args (@t67)) % 0.44/0.67 (step @p24 (= tptp.mexists_ind @t71) :rule refl :args (@t71)) % 0.44/0.67 (step @p25 (= tptp.mexists_prop @t72) :rule refl :args (@t72)) % 0.44/0.67 (step @p26 (= tptp.mreflexive @t77) :rule refl :args (@t77)) % 0.44/0.67 (step @p27 (= tptp.msymmetric @t81) :rule refl :args (@t81)) % 0.44/0.67 (step @p28 (= tptp.mserial @t83) :rule refl :args (@t83)) % 0.44/0.67 (step @p29 (= tptp.mtransitive @t88) :rule refl :args (@t88)) % 0.44/0.67 (step @p30 (= tptp.meuclidean @t90) :rule refl :args (@t90)) % 0.44/0.67 (step @p31 (= tptp.mpartially_functional @t92) :rule refl :args (@t92)) % 0.44/0.67 (step @p32 (= tptp.mfunctional @t94) :rule refl :args (@t94)) % 0.44/0.67 (step @p33 (= tptp.mweakly_dense @t97) :rule refl :args (@t97)) % 0.44/0.67 (step @p34 (= tptp.mweakly_connected @t98) :rule refl :args (@t98)) % 0.44/0.67 (step @p35 (= tptp.mweakly_directed @t99) :rule refl :args (@t99)) % 0.44/0.67 (step @p36 (= tptp.mvalid @t102) :rule refl :args (@t102)) % 0.44/0.67 (step @p37 (= tptp.msatisfiable @t103) :rule refl :args (@t103)) % 0.44/0.67 (step @p38 (= tptp.mcountersatisfiable @t104) :rule refl :args (@t104)) % 0.44/0.67 (step @p39 (= tptp.minvalid @t105) :rule refl :args (@t105)) % 0.44/0.67 (step @p40 (= tptp.mbox_s4 @t106) :rule refl :args (@t106)) % 0.44/0.67 (step @p41 (= tptp.mdia_s4 @t107) :rule refl :args (@t107)) % 0.44/0.67 (step @p42 :rule quant-merge-prenex :args ((= (forall @t50 @t121) @t119))) % 0.44/0.67 (step @p43 :rule beta-reduce :args ((= @t123 @t121))) % 0.44/0.67 (step @p44 :rule cong :premises (@p43) :args (@t124)) % 0.44/0.67 (step @p45 :rule trans :premises (@p44 @p42)) % 0.44/0.67 (step @p46 :rule beta-reduce :args ((= (_ @t126 @t122) @t124))) % 0.44/0.67 (step @p47 :rule trans :premises (@p46 @p45)) % 0.44/0.67 (step @p48 :rule aci_norm :args ((= @t128 @t118))) % 0.44/0.67 (step @p49 :rule cong :premises (@p48) :args (@t129)) % 0.44/0.67 (step @p50 :rule quant-merge-prenex :args ((= (forall @t5 @t131) @t129))) % 0.44/0.67 (step @p51 :rule alpha_equiv :args (@t132 (@list @t108) @t134)) % 0.44/0.67 (step @p52 :rule refl :args (@t117)) % 0.44/0.67 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t135)) % 0.44/0.67 (step @p54 :rule quant-miniscope-or :args ((= @t131 @t135))) % 0.44/0.67 (step @p55 :rule trans :premises (@p54 @p53)) % 0.44/0.67 (step @p56 :rule symm :premises (@p55)) % 0.44/0.67 (step @p57 :rule cong :premises (@p56) :args ((forall @t5 (or @t117 @t137)))) % 0.44/0.67 (step @p58 :rule trans :premises (@p57 @p50)) % 0.44/0.67 (step @p59 :rule trans :premises (@p58 @p49)) % 0.44/0.67 (step @p60 :rule beta-reduce :args ((= (_ (lambda @t22 (forall @t136 (or (not (tptp.exists_in_world @t133 @t9)) (not (forall @t113 (or @t139 @t138 (not (tptp.member @t110 @t133 @t9))))) (tptp.disjoint @t14 @t133 @t9)))) @t2 @t7) @t137))) % 0.44/0.67 (step @p61 :rule refl :args (@t7)) % 0.44/0.67 (step @p62 :rule refl :args (@t2)) % 0.44/0.67 (step @p63 :rule alpha_equiv :args (@t142 @t143 @t134)) % 0.44/0.67 (step @p64 :rule cong :premises (@p63) :args (@t144)) % 0.44/0.67 (step @p65 :rule ho_cong :premises (@p64 @p62 @p61)) % 0.44/0.67 (step @p66 :rule trans :premises (@p65 @p60)) % 0.44/0.67 (step @p67 :rule refl :args (@t117)) % 0.44/0.67 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t145)) % 0.44/0.67 (step @p69 :rule cong :premises (@p68) :args (@t146)) % 0.44/0.67 (step @p70 :rule trans :premises (@p69 @p59)) % 0.44/0.67 (step @p71 :rule cong :premises (@p70) :args (@t147)) % 0.44/0.67 (step @p72 :rule beta-reduce :args ((= (_ @t149 @t144) @t147))) % 0.44/0.67 (step @p73 :rule trans :premises (@p72 @p71)) % 0.44/0.67 (step @p74 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t5 (or @t117 @t151 @t150))) @t9) @t142))) % 0.44/0.67 (step @p75 :rule refl :args (@t9)) % 0.44/0.67 (step @p76 :rule refl :args (@t150)) % 0.44/0.67 (step @p77 :rule refl :args (@t152)) % 0.44/0.67 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t152 @t150))) % 0.44/0.67 (step @p79 :rule symm :premises (@p78)) % 0.44/0.67 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.44/0.67 (step @p81 :rule refl :args (@t151)) % 0.44/0.67 (step @p82 :rule nary_cong :premises (@p52 @p81 @p80) :args (@t153)) % 0.44/0.67 (step @p83 :rule cong :premises (@p82) :args ((forall @t5 @t153))) % 0.44/0.67 (step @p84 :rule aci_norm :args ((= (or @t117 @t154) @t153))) % 0.44/0.67 (step @p85 :rule beta-reduce :args ((= (_ (lambda @t20 (or (not (forall @t113 (or @t139 @t138 (not (tptp.member @t110 @t10 @t9))))) @t155)) @t2 @t7) @t154))) % 0.44/0.67 (step @p86 :rule refl :args (@t155)) % 0.44/0.67 (step @p87 :rule alpha_equiv :args (@t158 @t143 @t159)) % 0.44/0.67 (step @p88 :rule cong :premises (@p87) :args (@t160)) % 0.44/0.67 (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t161)) % 0.44/0.67 (step @p90 :rule cong :premises (@p89) :args (@t162)) % 0.44/0.67 (step @p91 :rule ho_cong :premises (@p90 @p62 @p61)) % 0.44/0.67 (step @p92 :rule trans :premises (@p91 @p85)) % 0.44/0.67 (step @p93 :rule nary_cong :premises (@p67 @p92) :args (@t163)) % 0.44/0.67 (step @p94 :rule trans :premises (@p93 @p84)) % 0.44/0.67 (step @p95 :rule cong :premises (@p94) :args (@t164)) % 0.44/0.67 (step @p96 :rule trans :premises (@p95 @p83)) % 0.44/0.67 (step @p97 :rule cong :premises (@p96) :args (@t165)) % 0.44/0.67 (step @p98 :rule beta-reduce :args ((= (_ @t149 @t162) @t165))) % 0.44/0.67 (step @p99 :rule trans :premises (@p98 @p97)) % 0.44/0.67 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0.44/0.67 (step @p588 :rule beta-reduce :args ((= (_ @t455 @t9) @t445))) % 0.44/0.67 (step @p589 :rule beta-reduce :args ((= (_ @t456 @t13) @t455))) % 0.44/0.67 (step @p590 :rule beta-reduce :args ((= @t457 @t456))) % 0.44/0.67 (step @p591 :rule ho_cong :premises (@p590 @p169)) % 0.44/0.67 (step @p592 :rule trans :premises (@p591 @p589)) % 0.44/0.67 (step @p593 :rule ho_cong :premises (@p592 @p75)) % 0.44/0.67 (step @p594 :rule trans :premises (@p593 @p588)) % 0.44/0.67 (step @p595 :rule cong :premises (@p594) :args (@t458)) % 0.44/0.67 (step @p596 :rule refl :args (@t454)) % 0.44/0.67 (step @p597 :rule ho_cong :premises (@p596 @p595)) % 0.44/0.67 (step @p598 :rule trans :premises (@p597 @p587)) % 0.44/0.67 (step @p599 :rule beta-reduce :args ((= @t459 @t438))) % 0.44/0.67 (step @p600 :rule ho_cong :premises (@p599 @p598)) % 0.44/0.67 (step @p601 :rule trans :premises (@p600 @p558)) % 0.44/0.67 (step @p602 :rule ho_cong :premises (@p601 @p75)) % 0.44/0.67 (step @p603 :rule trans :premises (@p602 @p543)) % 0.44/0.67 (step @p604 :rule cong :premises (@p603) :args (@t460)) % 0.44/0.67 (step @p605 :rule ho_cong :premises (@p147 @p604)) % 0.44/0.67 (step @p606 :rule trans :premises (@p605 @p542)) % 0.44/0.67 (step @p607 :rule ho_cong :premises (@p606 @p75)) % 0.44/0.67 (step @p608 :rule trans :premises (@p607 @p484)) % 0.44/0.67 (step @p609 :rule cong :premises (@p608) :args ((lambda @t22 (_ (_ @t149 @t460) @t9)))) % 0.44/0.67 (step @p610 :rule ho_cong :premises (@p147 @p609)) % 0.44/0.67 (step @p611 :rule trans :premises (@p610 @p483)) % 0.44/0.67 (step @p612 :rule ho_cong :premises (@p165 @p611)) % 0.44/0.67 (step @p613 :rule trans :premises (@p612 @p461)) % 0.44/0.67 (step @p614 :rule ho_cong :premises (@p411 @p171)) % 0.44/0.67 (step @p615 :rule ho_cong :premises (@p614 @p169)) % 0.44/0.67 (step @p616 :rule ho_cong :premises (@p615 @p75)) % 0.44/0.67 (step @p617 :rule cong :premises (@p616) :args (@t17)) % 0.44/0.67 (step @p618 :rule beta-reduce :args ((= (_ (lambda @t50 (not @t461)) @t9) @t453))) % 0.44/0.67 (step @p619 :rule beta-reduce :args ((= @t463 @t461))) % 0.44/0.67 (step @p620 :rule cong :premises (@p619) :args (@t464)) % 0.44/0.67 (step @p621 :rule cong :premises (@p620) :args (@t465)) % 0.44/0.67 (step @p622 :rule beta-reduce :args ((= (_ @t39 @t462) @t465))) % 0.44/0.67 (step @p623 :rule trans :premises (@p622 @p621)) % 0.44/0.67 (step @p624 :rule cong :premises (@p205) :args (@t466)) % 0.44/0.67 (step @p625 :rule nary_cong :premises (@p52 @p624) :args (@t467)) % 0.44/0.67 (step @p626 :rule cong :premises (@p625) :args ((forall @t5 @t467))) % 0.44/0.67 (step @p627 :rule beta-reduce :args ((= @t470 @t466))) % 0.44/0.67 (step @p628 :rule nary_cong :premises (@p67 @p627) :args (@t471)) % 0.44/0.67 (step @p629 :rule cong :premises (@p628) :args (@t472)) % 0.44/0.67 (step @p630 :rule trans :premises (@p629 @p626)) % 0.44/0.67 (step @p631 :rule cong :premises (@p630) :args (@t473)) % 0.44/0.67 (step @p632 :rule beta-reduce :args ((= (_ @t149 @t469) @t473))) % 0.44/0.67 (step @p633 :rule trans :premises (@p632 @p631)) % 0.44/0.67 (step @p634 :rule beta-reduce :args ((= (_ @t474 @t9) @t468))) % 0.44/0.67 (step @p635 :rule beta-reduce :args ((= @t475 @t474))) % 0.44/0.67 (step @p636 :rule ho_cong :premises (@p635 @p75)) % 0.44/0.67 (step @p637 :rule trans :premises (@p636 @p634)) % 0.44/0.67 (step @p638 :rule cong :premises (@p637) :args ((lambda @t68 (_ @t475 @t9)))) % 0.44/0.67 (step @p639 :rule ho_cong :premises (@p147 @p638)) % 0.44/0.67 (step @p640 :rule trans :premises (@p639 @p633)) % 0.44/0.67 (step @p641 :rule ho_cong :premises (@p400 @p640)) % 0.44/0.67 (step @p642 :rule trans :premises (@p641 @p623)) % 0.44/0.67 (step @p643 :rule ho_cong :premises (@p642 @p75)) % 0.44/0.67 (step @p644 :rule trans :premises (@p643 @p618)) % 0.44/0.67 (step @p645 :rule refl :args (@t63)) % 0.44/0.67 (step @p646 :rule ho_cong :premises (@p12 @p645)) % 0.44/0.67 (step @p647 :rule ho_cong :premises (@p646 @p75)) % 0.44/0.67 (step @p648 :rule cong :premises (@p647) :args (@t69)) % 0.44/0.67 (step @p649 :rule ho_cong :premises (@p218 @p648)) % 0.44/0.67 (step @p650 :rule ho_cong :premises (@p12 @p649)) % 0.44/0.67 (step @p651 :rule ho_cong :premises (@p650 @p75)) % 0.44/0.67 (step @p652 :rule trans :premises (@p651 @p644)) % 0.44/0.67 (step @p653 :rule cong :premises (@p652) :args (@t71)) % 0.44/0.67 (step @p654 :rule trans :premises (@p24 @p653)) % 0.44/0.67 (step @p655 :rule ho_cong :premises (@p654 @p617)) % 0.44/0.67 (step @p656 :rule ho_cong :premises (@p417 @p339)) % 0.44/0.67 (step @p657 :rule ho_cong :premises (@p656 @p655)) % 0.44/0.67 (step @p658 :rule ho_cong :premises (@p657 @p75)) % 0.44/0.67 (step @p659 :rule cong :premises (@p658) :args (@t21)) % 0.44/0.67 (step @p660 :rule ho_cong :premises (@p218 @p659)) % 0.44/0.67 (step @p661 :rule ho_cong :premises (@p660 @p75)) % 0.44/0.67 (step @p662 :rule cong :premises (@p661) :args (@t23)) % 0.44/0.67 (step @p663 :rule ho_cong :premises (@p218 @p662)) % 0.44/0.67 (step @p664 :rule ho_cong :premises (@p235 @p663)) % 0.44/0.67 (step @p665 :rule trans :premises (@p664 @p613)) % 0.44/0.67 (step @p666 :rule eq_resolve :premises (@p6 @p665)) % 0.44/0.67 (step @p667 :rule instantiate :premises (@p666) :args ((@list @t218 @t220 @t219 @t220))) % 0.44/0.67 (step @p668 :rule cnf_or_pos :args (@t477)) % 0.44/0.67 (step @p669 :rule reordering :premises (@p668) :args ((or @t227 @t225 @t476 (not @t477)))) % 0.44/0.67 (step @p670 :rule chain_m_resolution :premises (@p669 @p441 @p435 @p667) :args (@t476 @t348 (@list @t226 @t224 @t477))) % 0.44/0.67 (step @p671 :rule cnf_and_pos :args (@t476 0)) % 0.44/0.67 (step @p672 :rule reordering :premises (@p671) :args ((or @t350 (not @t476)))) % 0.44/0.67 (step @p673 false :rule chain_m_resolution :premises (@p672 @p670 @p455) :args (false (@list false true) (@list @t476 @t350))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------