%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP264^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:37:17 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP264^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 10:18:07 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-sort tptp.mu 0) % 0.37/0.60 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.dest (-> tptp.mu $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.class (-> tptp.mu $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.price (-> tptp.mu $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.second tptp.mu) % 0.37/0.60 (declare-const tptp.paris tptp.mu) % 0.37/0.60 (declare-const tptp.first tptp.mu) % 0.37/0.60 (declare-const tptp.seventy tptp.mu) % 0.37/0.60 (declare-const tptp.ninetyfive tptp.mu) % 0.37/0.60 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.60 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.60 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.60 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.60 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.60 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.60 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.60 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.60 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.60 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.60 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.60 (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)))))))) % 0.37/0.60 (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)))))))) % 0.37/0.60 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.60 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.60 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.60 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.37/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.60 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.37/0.60 (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))))))))))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (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))))))) % 0.37/0.60 (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))))))) % 0.37/0.60 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.37/0.60 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.60 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "X" tptp.mu)) % 0.37/0.60 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.37/0.60 (define @t4 () (_ @t3 @t1)) % 0.37/0.60 (define @t5 () (@list @t2)) % 0.37/0.60 (define @t6 () (@list @t1)) % 0.37/0.60 (define @t7 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t8 () (_ @t3 @t7)) % 0.37/0.60 (define @t9 () (_ tptp.price tptp.ninetyfive)) % 0.37/0.60 (define @t10 () (_ tptp.class tptp.first)) % 0.37/0.60 (define @t11 () (_ tptp.dest tptp.paris)) % 0.37/0.60 (define @t12 () (_ tptp.mand @t11)) % 0.37/0.60 (define @t13 () (_ tptp.price tptp.seventy)) % 0.37/0.60 (define @t14 () (_ tptp.class tptp.second)) % 0.37/0.60 (define @t15 () (not (_ tptp.mvalid (_ tptp.mbox_s4 @t13)))) % 0.37/0.60 (define @t16 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.60 (define @t17 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.60 (define @t18 () (lambda (@list @t17 @t16 @t7) (= (_ @t17 @t7) (_ @t16 @t7)))) % 0.37/0.60 (define @t19 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.60 (define @t20 () (_ @t19 @t7)) % 0.37/0.60 (define @t21 () (not @t20)) % 0.37/0.60 (define @t22 () (@list @t19 @t7)) % 0.37/0.60 (define @t23 () (lambda @t22 @t21)) % 0.37/0.60 (define @t24 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.60 (define @t25 () (_ @t24 @t7)) % 0.37/0.60 (define @t26 () (lambda (@list @t19 @t24 @t7) (or @t20 @t25))) % 0.37/0.60 (define @t27 () (_ @t19 @t1)) % 0.37/0.60 (define @t28 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.60 (define @t29 () (lambda (@list @t28 @t19 @t7) (forall @t6 (or (not (_ (_ @t28 @t7) @t1)) @t27)))) % 0.37/0.60 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.60 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.60 (define @t32 () (_ @t31 @t30)) % 0.37/0.60 (define @t33 () (lambda (@list @t31 @t7) (forall (@list @t30) (_ @t32 @t7)))) % 0.37/0.60 (define @t34 () (@list @t7)) % 0.37/0.60 (define @t35 () (lambda @t34 true)) % 0.37/0.60 (define @t36 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.60 (define @t37 () (_ tptp.mnot @t24)) % 0.37/0.60 (define @t38 () (_ tptp.mnot @t19)) % 0.37/0.60 (define @t39 () (_ tptp.mor @t38)) % 0.37/0.60 (define @t40 () (@list @t19 @t24 @t36)) % 0.37/0.60 (define @t41 () (lambda @t40 (_ (_ tptp.mnot (_ @t39 @t37)) @t36))) % 0.37/0.60 (define @t42 () (lambda @t40 (_ (_ @t39 @t24) @t36))) % 0.37/0.60 (define @t43 () (lambda @t40 (_ (_ (_ tptp.mor @t37) @t19) @t36))) % 0.37/0.60 (define @t44 () (lambda @t40 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t19) @t24)) (_ (_ tptp.mimplies @t24) @t19)) @t36))) % 0.37/0.60 (define @t45 () (lambda @t40 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t19) @t24)) @t36))) % 0.37/0.60 (define @t46 () (lambda (@list @t28 @t19 @t36) (_ (_ tptp.mnot (_ (_ tptp.mbox @t28) @t38)) @t36))) % 0.37/0.60 (define @t47 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.60 (define @t48 () (_ @t47 @t2)) % 0.37/0.60 (define @t49 () (lambda (@list @t47 @t7) (forall @t5 (=> @t8 (_ @t48 @t7))))) % 0.37/0.60 (define @t50 () (lambda (@list @t47 @t36) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t2 @t36) (_ (_ tptp.mnot @t48) @t36)))) @t36))) % 0.37/0.60 (define @t51 () (lambda (@list @t31 @t36) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t36) (_ (_ tptp.mnot @t32) @t36)))) @t36))) % 0.37/0.60 (define @t52 () (@var "S" $$unsorted)) % 0.37/0.60 (define @t53 () (_ @t28 @t52)) % 0.37/0.60 (define @t54 () (@list @t52)) % 0.37/0.60 (define @t55 () (@list @t28)) % 0.37/0.60 (define @t56 () (lambda @t55 (forall @t54 (_ @t53 @t52)))) % 0.37/0.60 (define @t57 () (@var "T" $$unsorted)) % 0.37/0.60 (define @t58 () (_ @t28 @t57)) % 0.37/0.60 (define @t59 () (_ @t53 @t57)) % 0.37/0.60 (define @t60 () (lambda @t55 (forall (@list @t52 @t57) (=> @t59 (_ @t58 @t52))))) % 0.37/0.60 (define @t61 () (@list @t57)) % 0.37/0.60 (define @t62 () (lambda @t55 (forall @t54 (exists @t61 @t59)))) % 0.37/0.60 (define @t63 () (@var "U" $$unsorted)) % 0.37/0.60 (define @t64 () (_ @t53 @t63)) % 0.37/0.60 (define @t65 () (_ @t58 @t63)) % 0.37/0.60 (define @t66 () (@list @t52 @t57 @t63)) % 0.37/0.60 (define @t67 () (lambda @t55 (forall @t66 (=> (and @t59 @t65) @t64)))) % 0.37/0.60 (define @t68 () (and @t59 @t64)) % 0.37/0.60 (define @t69 () (lambda @t55 (forall @t66 (=> @t68 @t65)))) % 0.37/0.60 (define @t70 () (= @t57 @t63)) % 0.37/0.60 (define @t71 () (lambda @t55 (forall @t66 (=> @t68 @t70)))) % 0.37/0.60 (define @t72 () (@list @t63)) % 0.37/0.60 (define @t73 () (lambda @t55 (forall @t54 (exists @t61 (and @t59 (forall @t72 (=> @t64 @t70))))))) % 0.37/0.60 (define @t74 () (_ @t28 @t63)) % 0.37/0.60 (define @t75 () (_ @t74 @t57)) % 0.37/0.60 (define @t76 () (lambda @t55 (forall @t66 (=> @t59 (exists @t72 (and @t64 @t75)))))) % 0.37/0.60 (define @t77 () (lambda @t55 (forall @t66 (=> @t68 (or @t65 @t70 @t75))))) % 0.37/0.60 (define @t78 () (lambda @t55 (forall @t66 (=> @t68 (exists @t6 (and (_ @t58 @t1) (_ @t74 @t1))))))) % 0.37/0.60 (define @t79 () (forall @t34 @t20)) % 0.37/0.60 (define @t80 () (@list @t19)) % 0.37/0.60 (define @t81 () (lambda @t80 @t79)) % 0.37/0.60 (define @t82 () (lambda @t80 (exists @t34 @t20))) % 0.37/0.60 (define @t83 () (lambda @t80 (exists @t34 @t21))) % 0.37/0.60 (define @t84 () (lambda @t80 (forall @t34 @t21))) % 0.37/0.60 (define @t85 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.37/0.60 (define @t86 () (not @t85)) % 0.37/0.60 (define @t87 () (or @t86 @t27)) % 0.37/0.60 (define @t88 () (forall @t6 @t87)) % 0.37/0.60 (define @t89 () (lambda @t22 @t88)) % 0.37/0.60 (define @t90 () (lambda (@list @t19 @t36) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t38)) @t36))) % 0.37/0.60 (define @t91 () (tptp.price tptp.seventy @t1)) % 0.37/0.60 (define @t92 () (tptp.rel_s4 @t7 @t1)) % 0.37/0.60 (define @t93 () (not @t92)) % 0.37/0.60 (define @t94 () (or @t93 @t91)) % 0.37/0.60 (define @t95 () (@list @t7 @t1)) % 0.37/0.60 (define @t96 () (forall @t95 @t94)) % 0.37/0.60 (define @t97 () (forall @t6 @t94)) % 0.37/0.60 (define @t98 () (lambda @t34 @t97)) % 0.37/0.60 (define @t99 () (_ @t98 @t7)) % 0.37/0.60 (define @t100 () (forall @t34 @t99)) % 0.37/0.60 (define @t101 () (_ @t19 @t7)) % 0.37/0.60 (define @t102 () (lambda @t80 (forall @t34 @t101))) % 0.37/0.60 (define @t103 () (_ @t13 @t1)) % 0.37/0.60 (define @t104 () (or @t93 @t103)) % 0.37/0.60 (define @t105 () (_ @t13 @t1)) % 0.37/0.60 (define @t106 () (or @t93 @t105)) % 0.37/0.60 (define @t107 () (forall @t6 @t106)) % 0.37/0.60 (define @t108 () (lambda @t34 @t107)) % 0.37/0.60 (define @t109 () (_ @t19 @t1)) % 0.37/0.60 (define @t110 () (lambda @t22 (forall @t6 (or @t93 @t109)))) % 0.37/0.60 (define @t111 () (_ @t110 @t13)) % 0.37/0.60 (define @t112 () (@quantifiers_skolemize @t96 1)) % 0.37/0.60 (define @t113 () (@quantifiers_skolemize @t96 0)) % 0.37/0.60 (define @t114 () (tptp.rel_s4 @t113 @t112)) % 0.37/0.60 (define @t115 () (tptp.price tptp.seventy @t112)) % 0.37/0.60 (define @t116 () (not @t114)) % 0.37/0.60 (define @t117 () (or @t116 @t115)) % 0.37/0.60 (define @t118 () (@list true)) % 0.37/0.60 (define @t119 () (@list @t117)) % 0.37/0.60 (define @t120 () (tptp.class tptp.second @t1)) % 0.37/0.60 (define @t121 () (tptp.dest tptp.paris @t1)) % 0.37/0.60 (define @t122 () (or @t93 @t91 (not @t121) (not @t120))) % 0.37/0.60 (define @t123 () (forall @t6 @t122)) % 0.37/0.60 (define @t124 () (lambda @t34 @t123)) % 0.37/0.60 (define @t125 () (_ @t124 @t7)) % 0.37/0.60 (define @t126 () (forall @t34 @t125)) % 0.37/0.60 (define @t127 () (_ @t14 @t1)) % 0.37/0.60 (define @t128 () (not @t127)) % 0.37/0.60 (define @t129 () (_ @t11 @t1)) % 0.37/0.60 (define @t130 () (not @t129)) % 0.37/0.60 (define @t131 () (or @t93 @t103 @t130 @t128)) % 0.37/0.60 (define @t132 () (or @t103 @t130 @t128)) % 0.37/0.60 (define @t133 () (not (_ @t14 @t36))) % 0.37/0.60 (define @t134 () (not (_ @t11 @t36))) % 0.37/0.60 (define @t135 () (@list @t36)) % 0.37/0.60 (define @t136 () (lambda @t135 (or (_ @t13 @t36) @t134 @t133))) % 0.37/0.60 (define @t137 () (_ @t136 @t1)) % 0.37/0.60 (define @t138 () (or @t93 @t137)) % 0.37/0.60 (define @t139 () (forall @t6 @t138)) % 0.37/0.60 (define @t140 () (lambda @t34 @t139)) % 0.37/0.60 (define @t141 () (_ @t24 @t36)) % 0.37/0.60 (define @t142 () (or @t141 @t134 @t133)) % 0.37/0.60 (define @t143 () (@list @t24 @t36)) % 0.37/0.60 (define @t144 () (or @t134 @t133)) % 0.37/0.60 (define @t145 () (not @t144)) % 0.37/0.60 (define @t146 () (lambda @t135 @t145)) % 0.37/0.60 (define @t147 () (_ @t146 @t36)) % 0.37/0.60 (define @t148 () (not @t147)) % 0.37/0.60 (define @t149 () (or @t148 @t141)) % 0.37/0.60 (define @t150 () (lambda @t143 @t149)) % 0.37/0.60 (define @t151 () (not (_ @t19 @t36))) % 0.37/0.60 (define @t152 () (or @t151 @t141)) % 0.37/0.60 (define @t153 () (lambda @t40 @t152)) % 0.37/0.60 (define @t154 () (not @t141)) % 0.37/0.60 (define @t155 () (lambda @t143 (not (or @t134 @t154)))) % 0.37/0.60 (define @t156 () (not (or @t151 @t154))) % 0.37/0.60 (define @t157 () (not @t25)) % 0.37/0.60 (define @t158 () (or @t21 @t157)) % 0.37/0.60 (define @t159 () (lambda @t34 @t158)) % 0.37/0.60 (define @t160 () (_ @t159 @t7)) % 0.37/0.60 (define @t161 () (not @t160)) % 0.37/0.60 (define @t162 () (lambda @t34 @t161)) % 0.37/0.60 (define @t163 () (lambda @t34 @t157)) % 0.37/0.60 (define @t164 () (_ @t163 @t7)) % 0.37/0.60 (define @t165 () (or @t21 @t164)) % 0.37/0.60 (define @t166 () (lambda @t34 @t165)) % 0.37/0.60 (define @t167 () (or @t21 @t25)) % 0.37/0.60 (define @t168 () (@list @t24 @t7)) % 0.37/0.60 (define @t169 () (lambda @t168 @t167)) % 0.37/0.60 (define @t170 () (lambda @t34 @t21)) % 0.37/0.60 (define @t171 () (_ @t170 @t7)) % 0.37/0.60 (define @t172 () (or @t171 @t25)) % 0.37/0.60 (define @t173 () (lambda @t168 @t172)) % 0.37/0.60 (define @t174 () (lambda @t34 @t167)) % 0.37/0.60 (define @t175 () (@list @t113 @t112)) % 0.37/0.60 (define @t176 () (or @t93 @t121)) % 0.37/0.60 (define @t177 () (forall @t6 @t176)) % 0.37/0.60 (define @t178 () (lambda @t34 @t177)) % 0.37/0.60 (define @t179 () (_ @t178 @t7)) % 0.37/0.60 (define @t180 () (forall @t34 @t179)) % 0.37/0.60 (define @t181 () (or @t93 @t129)) % 0.37/0.60 (define @t182 () (_ @t11 @t1)) % 0.37/0.60 (define @t183 () (or @t93 @t182)) % 0.37/0.60 (define @t184 () (forall @t6 @t183)) % 0.37/0.60 (define @t185 () (lambda @t34 @t184)) % 0.37/0.60 (define @t186 () (tptp.dest tptp.paris @t112)) % 0.37/0.60 (define @t187 () (or @t116 @t186)) % 0.37/0.60 (define @t188 () (@list false false)) % 0.37/0.60 (define @t189 () (or @t93 @t120)) % 0.37/0.60 (define @t190 () (forall @t6 @t189)) % 0.37/0.60 (define @t191 () (lambda @t34 @t190)) % 0.37/0.60 (define @t192 () (_ @t191 @t7)) % 0.37/0.60 (define @t193 () (forall @t34 @t192)) % 0.37/0.60 (define @t194 () (or @t93 @t127)) % 0.37/0.60 (define @t195 () (_ @t14 @t1)) % 0.37/0.60 (define @t196 () (or @t93 @t195)) % 0.37/0.60 (define @t197 () (forall @t6 @t196)) % 0.37/0.60 (define @t198 () (lambda @t34 @t197)) % 0.37/0.60 (define @t199 () (tptp.class tptp.second @t112)) % 0.37/0.60 (define @t200 () (or @t116 @t199)) % 0.37/0.60 (define @t201 () (not @t199)) % 0.37/0.60 (define @t202 () (not @t186)) % 0.37/0.60 (define @t203 () (or @t116 @t115 @t202 @t201)) % 0.37/0.60 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.60 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.37/0.60 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.37/0.60 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.37/0.60 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.37/0.60 (assume @p6 (forall @t6 (_ (_ tptp.exists_in_world tptp.first) @t1))) % 0.37/0.60 (assume @p7 (forall @t6 (_ (_ tptp.exists_in_world tptp.ninetyfive) @t1))) % 0.37/0.60 (assume @p8 (forall @t6 (_ (_ tptp.exists_in_world tptp.paris) @t1))) % 0.37/0.60 (assume @p9 (forall @t6 (_ (_ tptp.exists_in_world tptp.second) @t1))) % 0.37/0.60 (assume @p10 (forall @t6 (_ (_ tptp.exists_in_world tptp.seventy) @t1))) % 0.37/0.60 (assume @p11 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t12 @t10)) @t9)))) % 0.37/0.60 (assume @p12 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t12 @t14)) @t13)))) % 0.37/0.60 (assume @p13 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mnot (_ (_ tptp.mand @t10) @t14))))) % 0.37/0.60 (assume @p14 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mnot (_ (_ tptp.mand @t9) @t13))))) % 0.37/0.60 (assume @p15 (_ tptp.mvalid (_ tptp.mbox_s4 @t11))) % 0.37/0.60 (assume @p16 (_ tptp.mvalid (_ tptp.mbox_s4 @t14))) % 0.37/0.60 (assume @p17 @t15) % 0.37/0.60 (assume @p18 true) % 0.37/0.60 (step @p19 (= tptp.meq_prop @t18) :rule refl :args (@t18)) % 0.37/0.60 (step @p20 (= tptp.mnot @t23) :rule refl :args (@t23)) % 0.37/0.60 (step @p21 (= tptp.mor @t26) :rule refl :args (@t26)) % 0.37/0.60 (step @p22 (= tptp.mbox @t29) :rule refl :args (@t29)) % 0.37/0.60 (step @p23 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.37/0.60 (step @p24 (= tptp.mtrue @t35) :rule refl :args (@t35)) % 0.37/0.60 (step @p25 (= tptp.mand @t41) :rule refl :args (@t41)) % 0.37/0.60 (step @p26 (= tptp.mimplies @t42) :rule refl :args (@t42)) % 0.37/0.60 (step @p27 (= tptp.mimplied @t43) :rule refl :args (@t43)) % 0.37/0.60 (step @p28 (= tptp.mequiv @t44) :rule refl :args (@t44)) % 0.37/0.60 (step @p29 (= tptp.mxor @t45) :rule refl :args (@t45)) % 0.37/0.60 (step @p30 (= tptp.mdia @t46) :rule refl :args (@t46)) % 0.37/0.60 (step @p31 (= tptp.mforall_ind @t49) :rule refl :args (@t49)) % 0.37/0.60 (step @p32 (= tptp.mexists_ind @t50) :rule refl :args (@t50)) % 0.37/0.60 (step @p33 (= tptp.mexists_prop @t51) :rule refl :args (@t51)) % 0.37/0.60 (step @p34 (= tptp.mreflexive @t56) :rule refl :args (@t56)) % 0.37/0.60 (step @p35 (= tptp.msymmetric @t60) :rule refl :args (@t60)) % 0.37/0.60 (step @p36 (= tptp.mserial @t62) :rule refl :args (@t62)) % 0.37/0.60 (step @p37 (= tptp.mtransitive @t67) :rule refl :args (@t67)) % 0.37/0.60 (step @p38 (= tptp.meuclidean @t69) :rule refl :args (@t69)) % 0.37/0.60 (step @p39 (= tptp.mpartially_functional @t71) :rule refl :args (@t71)) % 0.37/0.60 (step @p40 (= tptp.mfunctional @t73) :rule refl :args (@t73)) % 0.37/0.60 (step @p41 (= tptp.mweakly_dense @t76) :rule refl :args (@t76)) % 0.37/0.60 (step @p42 (= tptp.mweakly_connected @t77) :rule refl :args (@t77)) % 0.37/0.60 (step @p43 (= tptp.mweakly_directed @t78) :rule refl :args (@t78)) % 0.37/0.60 (step @p44 (= tptp.mvalid @t81) :rule refl :args (@t81)) % 0.37/0.60 (step @p45 (= tptp.msatisfiable @t82) :rule refl :args (@t82)) % 0.37/0.60 (step @p46 (= tptp.mcountersatisfiable @t83) :rule refl :args (@t83)) % 0.37/0.60 (step @p47 (= tptp.minvalid @t84) :rule refl :args (@t84)) % 0.37/0.60 (step @p48 (= tptp.mbox_s4 @t89) :rule refl :args (@t89)) % 0.37/0.60 (step @p49 (= tptp.mdia_s4 @t90) :rule refl :args (@t90)) % 0.37/0.60 (step @p50 :rule quant-merge-prenex :args ((= (forall @t34 @t97) @t96))) % 0.37/0.60 (step @p51 :rule beta-reduce :args ((= @t99 @t97))) % 0.37/0.60 (step @p52 :rule cong :premises (@p51) :args (@t100)) % 0.37/0.60 (step @p53 :rule trans :premises (@p52 @p50)) % 0.37/0.60 (step @p54 :rule beta-reduce :args ((= (_ @t102 @t98) @t100))) % 0.37/0.60 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.60 (step @p56 :rule refl :args (@t91)) % 0.37/0.60 (step @p57 :rule refl :args (@t103)) % 0.37/0.60 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t103 @t91))) % 0.37/0.60 (step @p59 :rule symm :premises (@p58)) % 0.37/0.60 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.37/0.60 (step @p61 :rule refl :args (@t93)) % 0.37/0.60 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t104)) % 0.37/0.60 (step @p63 :rule cong :premises (@p62) :args ((forall @t6 @t104))) % 0.37/0.60 (step @p64 :rule refl :args (@t105)) % 0.37/0.60 (step @p65 :rule refl :args (@t93)) % 0.37/0.60 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t106)) % 0.37/0.60 (step @p67 :rule cong :premises (@p66) :args (@t107)) % 0.37/0.60 (step @p68 :rule trans :premises (@p67 @p63)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68) :args (@t108)) % 0.37/0.60 (step @p70 :rule beta-reduce :args ((= @t111 @t108))) % 0.37/0.60 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.60 (step @p72 :rule refl :args (@t102)) % 0.37/0.60 (step @p73 :rule ho_cong :premises (@p72 @p71)) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p55)) % 0.37/0.60 (step @p75 :rule cong :premises (@p74) :args ((not (_ @t102 @t111)))) % 0.37/0.60 (step @p76 :rule refl :args (@t13)) % 0.37/0.60 (step @p77 :rule refl :args (@t109)) % 0.37/0.60 (step @p78 :rule refl :args (@t27)) % 0.37/0.60 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t27 @t109))) % 0.37/0.60 (step @p80 :rule symm :premises (@p79)) % 0.37/0.60 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.37/0.60 (step @p82 :rule refl :args (@t92)) % 0.37/0.60 (step @p83 :rule refl :args (@t85)) % 0.37/0.60 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t85 @t92))) % 0.37/0.60 (step @p85 :rule symm :premises (@p84)) % 0.37/0.60 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.37/0.60 (step @p87 :rule cong :premises (@p86) :args (@t86)) % 0.37/0.60 (step @p88 :rule nary_cong :premises (@p87 @p81) :args (@t87)) % 0.37/0.60 (step @p89 :rule cong :premises (@p88) :args (@t88)) % 0.37/0.60 (step @p90 :rule cong :premises (@p89) :args (@t89)) % 0.37/0.60 (step @p91 :rule trans :premises (@p48 @p90)) % 0.37/0.60 (step @p92 :rule ho_cong :premises (@p91 @p76)) % 0.37/0.60 (step @p93 :rule refl :args (@t101)) % 0.37/0.61 (step @p94 :rule refl :args (@t20)) % 0.37/0.61 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t20 @t101))) % 0.37/0.61 (step @p96 :rule symm :premises (@p95)) % 0.37/0.61 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.37/0.61 (step @p98 :rule cong :premises (@p97) :args (@t79)) % 0.37/0.61 (step @p99 :rule cong :premises (@p98) :args (@t81)) % 0.37/0.61 (step @p100 :rule trans :premises (@p44 @p99)) % 0.37/0.61 (step @p101 :rule ho_cong :premises (@p100 @p92)) % 0.37/0.61 (step @p102 :rule cong :premises (@p101) :args (@t15)) % 0.37/0.61 (step @p103 :rule trans :premises (@p102 @p75)) % 0.37/0.61 (step @p104 :rule eq_resolve :premises (@p17 @p103)) % 0.37/0.61 (step @p105 :rule skolemize :premises (@p104)) % 0.37/0.61 (step @p106 :rule bool-double-not-elim :args (@t114)) % 0.37/0.61 (step @p107 :rule refl :args (@t117)) % 0.37/0.61 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t117 (not @t116)))) % 0.37/0.61 (step @p109 :rule cnf_or_neg :args (@t117 0)) % 0.37/0.61 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.37/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t114 @t117))) % 0.37/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t114 @t118 @t119)) % 0.37/0.61 (step @p113 :rule cnf_or_neg :args (@t117 1)) % 0.37/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p105) :args ((not @t115) @t118 @t119)) % 0.37/0.61 (step @p115 :rule quant-merge-prenex :args ((= (forall @t34 @t123) (forall @t95 @t122)))) % 0.37/0.61 (step @p116 :rule beta-reduce :args ((= @t125 @t123))) % 0.37/0.61 (step @p117 :rule cong :premises (@p116) :args (@t126)) % 0.37/0.61 (step @p118 :rule trans :premises (@p117 @p115)) % 0.37/0.61 (step @p119 :rule beta-reduce :args ((= (_ @t102 @t124) @t126))) % 0.37/0.61 (step @p120 :rule trans :premises (@p119 @p118)) % 0.37/0.61 (step @p121 :rule refl :args (@t120)) % 0.37/0.61 (step @p122 :rule refl :args (@t127)) % 0.37/0.61 (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t127 @t120))) % 0.37/0.61 (step @p124 :rule symm :premises (@p123)) % 0.37/0.61 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.37/0.61 (step @p126 :rule cong :premises (@p125) :args (@t128)) % 0.37/0.61 (step @p127 :rule refl :args (@t121)) % 0.37/0.61 (step @p128 :rule refl :args (@t129)) % 0.37/0.61 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t129 @t121))) % 0.37/0.61 (step @p130 :rule symm :premises (@p129)) % 0.37/0.61 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 0.37/0.61 (step @p132 :rule cong :premises (@p131) :args (@t130)) % 0.37/0.61 (step @p133 :rule nary_cong :premises (@p61 @p60 @p132 @p126) :args (@t131)) % 0.37/0.61 (step @p134 :rule cong :premises (@p133) :args ((forall @t6 @t131))) % 0.37/0.61 (step @p135 :rule aci_norm :args ((= (or @t93 @t132) @t131))) % 0.37/0.61 (step @p136 :rule beta-reduce :args ((= @t137 @t132))) % 0.37/0.61 (step @p137 :rule nary_cong :premises (@p65 @p136) :args (@t138)) % 0.37/0.61 (step @p138 :rule trans :premises (@p137 @p135)) % 0.37/0.61 (step @p139 :rule cong :premises (@p138) :args (@t139)) % 0.37/0.61 (step @p140 :rule trans :premises (@p139 @p134)) % 0.37/0.61 (step @p141 :rule cong :premises (@p140) :args (@t140)) % 0.37/0.61 (step @p142 :rule beta-reduce :args ((= (_ @t110 @t136) @t140))) % 0.37/0.61 (step @p143 :rule trans :premises (@p142 @p141)) % 0.37/0.61 (step @p144 :rule beta-reduce :args ((= (_ (lambda @t143 @t142) @t13) @t136))) % 0.37/0.61 (step @p145 :rule aci_norm :args ((= (or @t144 @t141) @t142))) % 0.37/0.61 (step @p146 :rule refl :args (@t141)) % 0.37/0.61 (step @p147 :rule bool-double-not-elim :args (@t144)) % 0.37/0.61 (step @p148 :rule beta-reduce :args ((= @t147 @t145))) % 0.37/0.61 (step @p149 :rule cong :premises (@p148) :args (@t148)) % 0.37/0.61 (step @p150 :rule trans :premises (@p149 @p147)) % 0.37/0.61 (step @p151 :rule nary_cong :premises (@p150 @p146) :args (@t149)) % 0.37/0.61 (step @p152 :rule trans :premises (@p151 @p145)) % 0.37/0.61 (step @p153 :rule cong :premises (@p152) :args (@t150)) % 0.37/0.61 (step @p154 :rule beta-reduce :args ((= (_ @t153 @t146) @t150))) % 0.37/0.61 (step @p155 :rule trans :premises (@p154 @p153)) % 0.37/0.61 (step @p156 :rule beta-reduce :args ((= (_ @t155 @t14) @t146))) % 0.37/0.61 (step @p157 :rule refl :args (@t14)) % 0.37/0.61 (step @p158 :rule beta-reduce :args ((= (_ (lambda @t40 @t156) @t11) @t155))) % 0.37/0.61 (step @p159 :rule ho_cong :premises (@p158 @p157)) % 0.37/0.61 (step @p160 :rule trans :premises (@p159 @p156)) % 0.37/0.61 (step @p161 :rule refl :args (@t153)) % 0.37/0.61 (step @p162 :rule ho_cong :premises (@p161 @p160)) % 0.37/0.61 (step @p163 :rule trans :premises (@p162 @p155)) % 0.37/0.61 (step @p164 :rule ho_cong :premises (@p163 @p76)) % 0.37/0.61 (step @p165 :rule trans :premises (@p164 @p144)) % 0.37/0.61 (step @p166 :rule refl :args (@t110)) % 0.37/0.61 (step @p167 :rule ho_cong :premises (@p166 @p165)) % 0.37/0.61 (step @p168 :rule trans :premises (@p167 @p143)) % 0.37/0.61 (step @p169 :rule ho_cong :premises (@p72 @p168)) % 0.37/0.61 (step @p170 :rule trans :premises (@p169 @p120)) % 0.37/0.61 (step @p171 :rule refl :args (@t11)) % 0.37/0.61 (step @p172 :rule beta-reduce :args ((= (_ (lambda @t34 (not @t158)) @t36) @t156))) % 0.37/0.61 (step @p173 :rule refl :args (@t36)) % 0.37/0.61 (step @p174 :rule beta-reduce :args ((= @t160 @t158))) % 0.37/0.61 (step @p175 :rule cong :premises (@p174) :args (@t161)) % 0.37/0.61 (step @p176 :rule cong :premises (@p175) :args (@t162)) % 0.37/0.61 (step @p177 :rule beta-reduce :args ((= (_ @t23 @t159) @t162))) % 0.37/0.61 (step @p178 :rule trans :premises (@p177 @p176)) % 0.37/0.61 (step @p179 :rule beta-reduce :args ((= @t164 @t157))) % 0.37/0.61 (step @p180 :rule refl :args (@t21)) % 0.37/0.61 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t165)) % 0.37/0.61 (step @p182 :rule cong :premises (@p181) :args (@t166)) % 0.37/0.61 (step @p183 :rule beta-reduce :args ((= (_ @t169 @t163) @t166))) % 0.37/0.61 (step @p184 :rule trans :premises (@p183 @p182)) % 0.37/0.61 (step @p185 :rule beta-reduce :args ((= (_ @t23 @t24) @t163))) % 0.37/0.61 (step @p186 :rule refl :args (@t25)) % 0.37/0.61 (step @p187 :rule beta-reduce :args ((= @t171 @t21))) % 0.37/0.61 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t172)) % 0.37/0.61 (step @p189 :rule cong :premises (@p188) :args (@t173)) % 0.37/0.61 (step @p190 :rule beta-reduce :args ((= (_ @t26 @t170) @t173))) % 0.37/0.61 (step @p191 :rule trans :premises (@p190 @p189)) % 0.37/0.61 (step @p192 :rule beta-reduce :args ((= (_ @t23 @t19) @t170))) % 0.37/0.61 (step @p193 :rule refl :args (@t26)) % 0.37/0.61 (step @p194 :rule ho_cong :premises (@p193 @p192)) % 0.37/0.61 (step @p195 :rule trans :premises (@p194 @p191)) % 0.37/0.61 (step @p196 :rule ho_cong :premises (@p195 @p185)) % 0.37/0.61 (step @p197 :rule trans :premises (@p196 @p184)) % 0.37/0.61 (step @p198 :rule refl :args (@t23)) % 0.37/0.61 (step @p199 :rule ho_cong :premises (@p198 @p197)) % 0.37/0.61 (step @p200 :rule trans :premises (@p199 @p178)) % 0.37/0.61 (step @p201 :rule ho_cong :premises (@p200 @p173)) % 0.37/0.61 (step @p202 :rule trans :premises (@p201 @p172)) % 0.37/0.61 (step @p203 :rule refl :args (@t24)) % 0.37/0.61 (step @p204 :rule ho_cong :premises (@p20 @p203)) % 0.37/0.61 (step @p205 :rule refl :args (@t19)) % 0.37/0.61 (step @p206 :rule ho_cong :premises (@p20 @p205)) % 0.37/0.61 (step @p207 :rule ho_cong :premises (@p21 @p206)) % 0.37/0.61 (step @p208 :rule ho_cong :premises (@p207 @p204)) % 0.37/0.61 (step @p209 :rule ho_cong :premises (@p20 @p208)) % 0.37/0.61 (step @p210 :rule ho_cong :premises (@p209 @p173)) % 0.37/0.61 (step @p211 :rule trans :premises (@p210 @p202)) % 0.37/0.61 (step @p212 :rule cong :premises (@p211) :args (@t41)) % 0.37/0.61 (step @p213 :rule trans :premises (@p25 @p212)) % 0.37/0.61 (step @p214 :rule ho_cong :premises (@p213 @p171)) % 0.37/0.61 (step @p215 :rule ho_cong :premises (@p214 @p157)) % 0.37/0.61 (step @p216 :rule beta-reduce :args ((= (_ @t174 @t36) @t152))) % 0.37/0.61 (step @p217 :rule beta-reduce :args ((= (_ @t169 @t24) @t174))) % 0.37/0.61 (step @p218 :rule ho_cong :premises (@p195 @p203)) % 0.37/0.61 (step @p219 :rule trans :premises (@p218 @p217)) % 0.37/0.61 (step @p220 :rule ho_cong :premises (@p219 @p173)) % 0.37/0.61 (step @p221 :rule trans :premises (@p220 @p216)) % 0.37/0.61 (step @p222 :rule ho_cong :premises (@p207 @p203)) % 0.37/0.61 (step @p223 :rule ho_cong :premises (@p222 @p173)) % 0.37/0.61 (step @p224 :rule trans :premises (@p223 @p221)) % 0.37/0.61 (step @p225 :rule cong :premises (@p224) :args (@t42)) % 0.37/0.61 (step @p226 :rule trans :premises (@p26 @p225)) % 0.37/0.61 (step @p227 :rule ho_cong :premises (@p226 @p215)) % 0.37/0.61 (step @p228 :rule ho_cong :premises (@p227 @p76)) % 0.37/0.61 (step @p229 :rule ho_cong :premises (@p91 @p228)) % 0.37/0.61 (step @p230 :rule ho_cong :premises (@p100 @p229)) % 0.37/0.61 (step @p231 :rule trans :premises (@p230 @p170)) % 0.37/0.61 (step @p232 :rule eq_resolve :premises (@p12 @p231)) % 0.37/0.61 (step @p233 :rule instantiate :premises (@p232) :args (@t175)) % 0.37/0.61 (step @p234 :rule quant-merge-prenex :args ((= (forall @t34 @t177) (forall @t95 @t176)))) % 0.37/0.61 (step @p235 :rule beta-reduce :args ((= @t179 @t177))) % 0.37/0.61 (step @p236 :rule cong :premises (@p235) :args (@t180)) % 0.37/0.61 (step @p237 :rule trans :premises (@p236 @p234)) % 0.37/0.61 (step @p238 :rule beta-reduce :args ((= (_ @t102 @t178) @t180))) % 0.37/0.61 (step @p239 :rule trans :premises (@p238 @p237)) % 0.37/0.61 (step @p240 :rule nary_cong :premises (@p61 @p131) :args (@t181)) % 0.37/0.61 (step @p241 :rule cong :premises (@p240) :args ((forall @t6 @t181))) % 0.37/0.61 (step @p242 :rule refl :args (@t182)) % 0.37/0.61 (step @p243 :rule nary_cong :premises (@p65 @p242) :args (@t183)) % 0.37/0.61 (step @p244 :rule cong :premises (@p243) :args (@t184)) % 0.37/0.61 (step @p245 :rule trans :premises (@p244 @p241)) % 0.37/0.61 (step @p246 :rule cong :premises (@p245) :args (@t185)) % 0.37/0.61 (step @p247 :rule beta-reduce :args ((= (_ @t110 @t11) @t185))) % 0.37/0.61 (step @p248 :rule trans :premises (@p247 @p246)) % 0.37/0.61 (step @p249 :rule ho_cong :premises (@p72 @p248)) % 0.37/0.61 (step @p250 :rule trans :premises (@p249 @p239)) % 0.37/0.61 (step @p251 :rule ho_cong :premises (@p91 @p171)) % 0.37/0.61 (step @p252 :rule ho_cong :premises (@p100 @p251)) % 0.37/0.61 (step @p253 :rule trans :premises (@p252 @p250)) % 0.37/0.61 (step @p254 :rule eq_resolve :premises (@p15 @p253)) % 0.37/0.61 (step @p255 :rule instantiate :premises (@p254) :args (@t175)) % 0.37/0.61 (step @p256 :rule cnf_or_pos :args (@t187)) % 0.37/0.61 (step @p257 :rule reordering :premises (@p256) :args ((or @t116 @t186 (not @t187)))) % 0.37/0.61 (step @p258 :rule chain_m_resolution :premises (@p257 @p112 @p255) :args (@t186 @t188 (@list @t114 @t187))) % 0.37/0.61 (step @p259 :rule quant-merge-prenex :args ((= (forall @t34 @t190) (forall @t95 @t189)))) % 0.37/0.61 (step @p260 :rule beta-reduce :args ((= @t192 @t190))) % 0.37/0.61 (step @p261 :rule cong :premises (@p260) :args (@t193)) % 0.37/0.61 (step @p262 :rule trans :premises (@p261 @p259)) % 0.37/0.61 (step @p263 :rule beta-reduce :args ((= (_ @t102 @t191) @t193))) % 0.37/0.61 (step @p264 :rule trans :premises (@p263 @p262)) % 0.37/0.61 (step @p265 :rule nary_cong :premises (@p61 @p125) :args (@t194)) % 0.37/0.61 (step @p266 :rule cong :premises (@p265) :args ((forall @t6 @t194))) % 0.37/0.61 (step @p267 :rule refl :args (@t195)) % 0.37/0.61 (step @p268 :rule nary_cong :premises (@p65 @p267) :args (@t196)) % 0.37/0.61 (step @p269 :rule cong :premises (@p268) :args (@t197)) % 0.37/0.61 (step @p270 :rule trans :premises (@p269 @p266)) % 0.37/0.61 (step @p271 :rule cong :premises (@p270) :args (@t198)) % 0.37/0.61 (step @p272 :rule beta-reduce :args ((= (_ @t110 @t14) @t198))) % 0.37/0.61 (step @p273 :rule trans :premises (@p272 @p271)) % 0.37/0.61 (step @p274 :rule ho_cong :premises (@p72 @p273)) % 0.37/0.61 (step @p275 :rule trans :premises (@p274 @p264)) % 0.37/0.61 (step @p276 :rule ho_cong :premises (@p91 @p157)) % 0.37/0.61 (step @p277 :rule ho_cong :premises (@p100 @p276)) % 0.37/0.61 (step @p278 :rule trans :premises (@p277 @p275)) % 0.37/0.61 (step @p279 :rule eq_resolve :premises (@p16 @p278)) % 0.37/0.61 (step @p280 :rule instantiate :premises (@p279) :args (@t175)) % 0.37/0.61 (step @p281 :rule cnf_or_pos :args (@t200)) % 0.37/0.61 (step @p282 :rule reordering :premises (@p281) :args ((or @t116 @t199 (not @t200)))) % 0.37/0.61 (step @p283 :rule chain_m_resolution :premises (@p282 @p112 @p280) :args (@t199 @t188 (@list @t114 @t200))) % 0.37/0.61 (step @p284 :rule cnf_or_pos :args (@t203)) % 0.37/0.61 (step @p285 :rule reordering :premises (@p284) :args ((or @t116 @t115 @t202 @t201 (not @t203)))) % 0.37/0.61 (step @p286 false :rule chain_m_resolution :premises (@p285 @p283 @p258 @p233 @p114 @p112) :args (false (@list false false false true false) (@list @t199 @t186 @t203 @t115 @t114))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------