%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO430^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:38 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO430^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:07:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.40/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort $$unsorted 0) % 0.40/0.62 (declare-sort tptp.mu 0) % 0.40/0.62 (declare-const tptp.rel_b (-> $$unsorted $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.40/0.62 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.40/0.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.40/0.62 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.40/0.62 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.40/0.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.40/0.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.40/0.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.40/0.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.40/0.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.40/0.62 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.40/0.62 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.40/0.62 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.40/0.62 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.40/0.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.40/0.62 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.40/0.62 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.40/0.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.40/0.62 (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)))))))) % 0.40/0.62 (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)))))))) % 0.40/0.62 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.40/0.62 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.40/0.62 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.40/0.62 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.40/0.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.40/0.62 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.40/0.62 (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))))))))))))) % 0.40/0.62 (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)))))) % 0.40/0.62 (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))))))) % 0.40/0.62 (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)))))) % 0.40/0.62 (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))))))) % 0.40/0.62 (define tptp.mbox_b () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_b _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.40/0.62 (define tptp.mdia_b () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_b (_ tptp.mnot _let_2))) _let_1))))) % 0.40/0.62 (define @t1 () (_ tptp.mdia_b (_ tptp.mbox_b tptp.p))) % 0.40/0.62 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mequiv @t1) (_ tptp.mdia_b (_ tptp.mbox_b @t1)))))) % 0.40/0.62 (define @t3 () (@var "Y" tptp.mu)) % 0.40/0.62 (define @t4 () (@var "X" tptp.mu)) % 0.40/0.62 (define @t5 () (@var "W" $$unsorted)) % 0.40/0.62 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.40/0.62 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.40/0.62 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.40/0.62 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.40/0.62 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.40/0.62 (define @t11 () (_ @t10 @t5)) % 0.40/0.62 (define @t12 () (not @t11)) % 0.40/0.62 (define @t13 () (@list @t10 @t5)) % 0.40/0.62 (define @t14 () (lambda @t13 @t12)) % 0.40/0.62 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.40/0.62 (define @t16 () (_ @t15 @t5)) % 0.40/0.62 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.40/0.62 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.40/0.62 (define @t19 () (_ tptp.mnot @t15)) % 0.40/0.62 (define @t20 () (_ tptp.mnot @t10)) % 0.40/0.62 (define @t21 () (_ tptp.mor @t20)) % 0.40/0.62 (define @t22 () (@list @t10 @t15 @t18)) % 0.40/0.62 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.40/0.62 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.40/0.62 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.40/0.62 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.40/0.62 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.40/0.62 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.40/0.62 (define @t29 () (_ @t28 @t4)) % 0.40/0.62 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.40/0.62 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.40/0.62 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.40/0.62 (define @t33 () (_ @t32 @t31)) % 0.40/0.62 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.40/0.62 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.40/0.62 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.40/0.62 (define @t37 () (@list @t5)) % 0.40/0.62 (define @t38 () (lambda @t37 true)) % 0.40/0.62 (define @t39 () (@var "V" $$unsorted)) % 0.40/0.62 (define @t40 () (_ @t10 @t39)) % 0.40/0.62 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.40/0.62 (define @t42 () (@list @t39)) % 0.40/0.62 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.40/0.62 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.40/0.62 (define @t45 () (@var "S" $$unsorted)) % 0.40/0.62 (define @t46 () (_ @t41 @t45)) % 0.40/0.62 (define @t47 () (@list @t45)) % 0.40/0.62 (define @t48 () (@list @t41)) % 0.40/0.62 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.40/0.62 (define @t50 () (@var "T" $$unsorted)) % 0.40/0.62 (define @t51 () (_ @t41 @t50)) % 0.40/0.62 (define @t52 () (_ @t51 @t45)) % 0.40/0.62 (define @t53 () (_ @t46 @t50)) % 0.40/0.62 (define @t54 () (@list @t45 @t50)) % 0.40/0.62 (define @t55 () (forall @t54 (=> @t53 @t52))) % 0.40/0.62 (define @t56 () (lambda @t48 @t55)) % 0.40/0.62 (define @t57 () (@list @t50)) % 0.40/0.62 (define @t58 () (lambda @t48 (forall @t47 (exists @t57 @t53)))) % 0.40/0.62 (define @t59 () (@var "U" $$unsorted)) % 0.40/0.62 (define @t60 () (_ @t46 @t59)) % 0.40/0.62 (define @t61 () (_ @t51 @t59)) % 0.40/0.62 (define @t62 () (@list @t45 @t50 @t59)) % 0.40/0.62 (define @t63 () (lambda @t48 (forall @t62 (=> (and @t53 @t61) @t60)))) % 0.40/0.62 (define @t64 () (and @t53 @t60)) % 0.40/0.62 (define @t65 () (lambda @t48 (forall @t62 (=> @t64 @t61)))) % 0.40/0.62 (define @t66 () (= @t50 @t59)) % 0.40/0.62 (define @t67 () (lambda @t48 (forall @t62 (=> @t64 @t66)))) % 0.40/0.62 (define @t68 () (@list @t59)) % 0.40/0.62 (define @t69 () (lambda @t48 (forall @t47 (exists @t57 (and @t53 (forall @t68 (=> @t60 @t66))))))) % 0.40/0.62 (define @t70 () (_ @t41 @t59)) % 0.40/0.62 (define @t71 () (_ @t70 @t50)) % 0.40/0.62 (define @t72 () (lambda @t48 (forall @t62 (=> @t53 (exists @t68 (and @t60 @t71)))))) % 0.40/0.62 (define @t73 () (lambda @t48 (forall @t62 (=> @t64 (or @t61 @t66 @t71))))) % 0.40/0.62 (define @t74 () (lambda @t48 (forall @t62 (=> @t64 (exists @t42 (and (_ @t51 @t39) (_ @t70 @t39))))))) % 0.40/0.62 (define @t75 () (forall @t37 @t11)) % 0.40/0.63 (define @t76 () (@list @t10)) % 0.40/0.63 (define @t77 () (lambda @t76 @t75)) % 0.40/0.63 (define @t78 () (lambda @t76 (forall @t37 @t12))) % 0.40/0.63 (define @t79 () (lambda @t76 (exists @t37 @t11))) % 0.40/0.63 (define @t80 () (lambda @t76 (exists @t37 @t12))) % 0.40/0.63 (define @t81 () (_ (_ tptp.rel_b @t5) @t39)) % 0.40/0.63 (define @t82 () (not @t81)) % 0.40/0.63 (define @t83 () (or @t82 @t40)) % 0.40/0.63 (define @t84 () (forall @t42 @t83)) % 0.40/0.63 (define @t85 () (lambda @t13 @t84)) % 0.40/0.63 (define @t86 () (@list @t10 @t18)) % 0.40/0.63 (define @t87 () (lambda @t86 (_ (_ tptp.mnot (_ tptp.mbox_b @t20)) @t18))) % 0.40/0.63 (define @t88 () (_ @t41 @t50 @t45)) % 0.40/0.63 (define @t89 () (_ @t41 @t45 @t50)) % 0.40/0.63 (define @t90 () (not @t53)) % 0.40/0.63 (define @t91 () (or @t90 @t52)) % 0.40/0.63 (define @t92 () (@var "BOUND_VARIABLE_8424" $$unsorted)) % 0.40/0.63 (define @t93 () (tptp.p @t92)) % 0.40/0.63 (define @t94 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 0.40/0.63 (define @t95 () (@list @t92)) % 0.40/0.63 (define @t96 () (not (forall @t95 (or (not (tptp.rel_b @t94 @t92)) @t93)))) % 0.40/0.63 (define @t97 () (@var "BOUND_VARIABLE_8496" $$unsorted)) % 0.40/0.63 (define @t98 () (@list @t94)) % 0.40/0.63 (define @t99 () (not (forall @t98 (or (not (tptp.rel_b @t97 @t94)) @t96)))) % 0.40/0.63 (define @t100 () (@var "BOUND_VARIABLE_8596" $$unsorted)) % 0.40/0.63 (define @t101 () (@list @t97)) % 0.40/0.63 (define @t102 () (not (forall @t101 (or (not (tptp.rel_b @t100 @t97)) @t99)))) % 0.40/0.63 (define @t103 () (@var "BOUND_VARIABLE_8568" $$unsorted)) % 0.40/0.63 (define @t104 () (not (tptp.rel_b @t103 @t100))) % 0.40/0.63 (define @t105 () (forall @t95 (or (not (tptp.rel_b @t39 @t92)) @t93))) % 0.40/0.63 (define @t106 () (not @t105)) % 0.40/0.63 (define @t107 () (not (tptp.rel_b @t103 @t39))) % 0.40/0.63 (define @t108 () (not (forall @t42 (or @t107 @t106)))) % 0.40/0.63 (define @t109 () (or @t108 @t104 @t102)) % 0.40/0.63 (define @t110 () (@list @t103 @t100)) % 0.40/0.63 (define @t111 () (forall @t110 @t109)) % 0.40/0.63 (define @t112 () (@quantifiers_skolemize @t111 1)) % 0.40/0.63 (define @t113 () (@quantifiers_skolemize @t111 0)) % 0.40/0.63 (define @t114 () (forall @t101 (or (not (tptp.rel_b @t39 @t97)) @t99))) % 0.40/0.63 (define @t115 () (not @t114)) % 0.40/0.63 (define @t116 () (@var "BOUND_VARIABLE_8581" $$unsorted)) % 0.40/0.63 (define @t117 () (not (forall @t95 (or (not (tptp.rel_b @t116 @t92)) @t93)))) % 0.40/0.63 (define @t118 () (@var "BOUND_VARIABLE_8556" $$unsorted)) % 0.40/0.63 (define @t119 () (not (tptp.rel_b @t118 @t116))) % 0.40/0.63 (define @t120 () (not (tptp.rel_b @t118 @t39))) % 0.40/0.63 (define @t121 () (not (forall @t42 (or @t120 @t115)))) % 0.40/0.63 (define @t122 () (or @t121 @t119 @t117)) % 0.40/0.63 (define @t123 () (@list @t118 @t116)) % 0.40/0.63 (define @t124 () (forall @t123 @t122)) % 0.40/0.63 (define @t125 () (@quantifiers_skolemize @t124 0)) % 0.40/0.63 (define @t126 () (forall @t42 (or (not (tptp.rel_b @t125 @t39)) @t115))) % 0.40/0.63 (define @t127 () (@quantifiers_skolemize @t124 1)) % 0.40/0.63 (define @t128 () (forall @t95 (or (not (tptp.rel_b @t127 @t92)) @t93))) % 0.40/0.63 (define @t129 () (not @t128)) % 0.40/0.63 (define @t130 () (tptp.rel_b @t125 @t127)) % 0.40/0.63 (define @t131 () (not @t130)) % 0.40/0.63 (define @t132 () (not @t126)) % 0.40/0.63 (define @t133 () (or @t132 @t131 @t129)) % 0.40/0.63 (define @t134 () (@list @t127)) % 0.40/0.63 (define @t135 () (forall @t101 (or (not (tptp.rel_b @t127 @t97)) @t99))) % 0.40/0.63 (define @t136 () (not @t135)) % 0.40/0.63 (define @t137 () (or @t131 @t136)) % 0.40/0.63 (define @t138 () (@quantifiers_skolemize @t135 0)) % 0.40/0.63 (define @t139 () (forall @t98 (or (not (tptp.rel_b @t138 @t94)) @t96))) % 0.40/0.63 (define @t140 () (not @t139)) % 0.40/0.63 (define @t141 () (tptp.rel_b @t127 @t138)) % 0.40/0.63 (define @t142 () (not @t141)) % 0.40/0.63 (define @t143 () (or @t142 @t140)) % 0.40/0.63 (define @t144 () (not @t143)) % 0.40/0.63 (define @t145 () (tptp.rel_b @t138 @t127)) % 0.40/0.63 (define @t146 () (or @t142 @t145)) % 0.40/0.63 (define @t147 () (not @t145)) % 0.40/0.63 (define @t148 () (or @t147 @t129)) % 0.40/0.63 (define @t149 () (not @t133)) % 0.40/0.63 (define @t150 () (not @t124)) % 0.40/0.63 (define @t151 () (@list false)) % 0.40/0.63 (define @t152 () (or @t104 @t102)) % 0.40/0.63 (define @t153 () (or @t152 @t108)) % 0.40/0.63 (define @t154 () (forall @t110 @t153)) % 0.40/0.63 (define @t155 () (@list @t100)) % 0.40/0.63 (define @t156 () (forall @t155 @t153)) % 0.40/0.63 (define @t157 () (@list @t103)) % 0.40/0.63 (define @t158 () (forall @t155 @t152)) % 0.40/0.63 (define @t159 () (@list @t39)) % 0.40/0.63 (define @t160 () (or @t158 @t108)) % 0.40/0.63 (define @t161 () (forall @t157 (or (forall @t42 (or @t107 @t115)) @t108))) % 0.40/0.63 (define @t162 () (or @t119 @t117)) % 0.40/0.63 (define @t163 () (or @t162 @t121)) % 0.40/0.63 (define @t164 () (forall @t123 @t163)) % 0.40/0.63 (define @t165 () (@list @t116)) % 0.40/0.63 (define @t166 () (forall @t165 @t163)) % 0.40/0.63 (define @t167 () (@list @t118)) % 0.40/0.63 (define @t168 () (forall @t165 @t162)) % 0.40/0.63 (define @t169 () (or @t168 @t121)) % 0.40/0.63 (define @t170 () (forall @t167 (or (forall @t42 (or @t120 @t106)) @t121))) % 0.40/0.63 (define @t171 () (tptp.rel_b @t5 @t39)) % 0.40/0.63 (define @t172 () (not @t171)) % 0.40/0.63 (define @t173 () (forall @t42 (or @t172 @t106))) % 0.40/0.63 (define @t174 () (forall @t42 (or @t172 @t115))) % 0.40/0.63 (define @t175 () (or @t174 (not @t173))) % 0.40/0.63 (define @t176 () (forall @t37 @t175)) % 0.40/0.63 (define @t177 () (@list @t5)) % 0.40/0.63 (define @t178 () (or @t173 (not @t174))) % 0.40/0.63 (define @t179 () (forall @t37 @t178)) % 0.40/0.63 (define @t180 () (and @t179 @t176)) % 0.40/0.63 (define @t181 () (not @t175)) % 0.40/0.63 (define @t182 () (not @t178)) % 0.40/0.63 (define @t183 () (not (or @t182 @t181))) % 0.40/0.63 (define @t184 () (not (tptp.rel_b @t18 @t39))) % 0.40/0.63 (define @t185 () (forall @t42 (or @t184 @t106))) % 0.40/0.63 (define @t186 () (not @t185)) % 0.40/0.63 (define @t187 () (forall @t42 (or @t184 @t115))) % 0.40/0.63 (define @t188 () (not @t187)) % 0.40/0.63 (define @t189 () (@list @t18)) % 0.40/0.63 (define @t190 () (lambda @t189 (not (or (not (or @t185 @t188)) (not (or @t187 @t186)))))) % 0.40/0.63 (define @t191 () (_ @t190 @t5)) % 0.40/0.63 (define @t192 () (forall @t37 @t191)) % 0.40/0.63 (define @t193 () (_ @t10 @t5)) % 0.40/0.63 (define @t194 () (lambda @t76 (forall @t37 @t193))) % 0.40/0.63 (define @t195 () (lambda @t189 @t188)) % 0.40/0.63 (define @t196 () (_ @t195 @t18)) % 0.40/0.63 (define @t197 () (not @t196)) % 0.40/0.63 (define @t198 () (or @t197 @t186)) % 0.40/0.63 (define @t199 () (not @t198)) % 0.40/0.63 (define @t200 () (or @t185 @t196)) % 0.40/0.63 (define @t201 () (not @t200)) % 0.40/0.63 (define @t202 () (or @t201 @t199)) % 0.40/0.63 (define @t203 () (not @t202)) % 0.40/0.63 (define @t204 () (lambda @t189 @t203)) % 0.40/0.63 (define @t205 () (_ @t15 @t18)) % 0.40/0.63 (define @t206 () (not @t205)) % 0.40/0.63 (define @t207 () (@list @t15 @t18)) % 0.40/0.63 (define @t208 () (not (forall @t98 (or (not (tptp.rel_b @t39 @t94)) @t96)))) % 0.40/0.63 (define @t209 () (forall @t42 (or @t172 @t208))) % 0.40/0.63 (define @t210 () (lambda @t37 @t209)) % 0.40/0.63 (define @t211 () (not (_ @t210 @t39))) % 0.40/0.63 (define @t212 () (or @t184 @t211)) % 0.40/0.63 (define @t213 () (forall @t42 @t212)) % 0.40/0.63 (define @t214 () (not @t213)) % 0.40/0.63 (define @t215 () (lambda @t189 @t214)) % 0.40/0.63 (define @t216 () (_ @t10 @t39)) % 0.40/0.63 (define @t217 () (not @t216)) % 0.40/0.63 (define @t218 () (not (forall @t42 (or @t184 @t217)))) % 0.40/0.63 (define @t219 () (lambda @t86 @t218)) % 0.40/0.63 (define @t220 () (lambda @t189 @t186)) % 0.40/0.63 (define @t221 () (or @t172 (_ @t220 @t39))) % 0.40/0.63 (define @t222 () (forall @t42 @t221)) % 0.40/0.63 (define @t223 () (lambda @t37 @t222)) % 0.40/0.63 (define @t224 () (lambda @t13 (forall @t42 (or @t172 @t216)))) % 0.40/0.63 (define @t225 () (forall @t42 (or @t172 (tptp.p @t39)))) % 0.40/0.63 (define @t226 () (lambda @t37 @t225)) % 0.40/0.63 (define @t227 () (not (_ @t226 @t39))) % 0.40/0.63 (define @t228 () (or @t184 @t227)) % 0.40/0.63 (define @t229 () (forall @t42 @t228)) % 0.40/0.63 (define @t230 () (not @t229)) % 0.40/0.63 (define @t231 () (lambda @t189 @t230)) % 0.40/0.63 (define @t232 () (_ @t224 tptp.p)) % 0.40/0.63 (define @t233 () (_ @t220 @t18)) % 0.40/0.63 (define @t234 () (or @t206 @t233)) % 0.40/0.63 (define @t235 () (not @t234)) % 0.40/0.63 (define @t236 () (not @t233)) % 0.40/0.63 (define @t237 () (or @t236 @t205)) % 0.40/0.63 (define @t238 () (not @t237)) % 0.40/0.63 (define @t239 () (or @t238 @t235)) % 0.40/0.63 (define @t240 () (not @t239)) % 0.40/0.63 (define @t241 () (lambda @t207 @t240)) % 0.40/0.63 (define @t242 () (_ @t10 @t18)) % 0.40/0.63 (define @t243 () (or @t206 @t242)) % 0.40/0.63 (define @t244 () (not @t242)) % 0.40/0.63 (define @t245 () (or @t244 @t205)) % 0.40/0.63 (define @t246 () (not @t245)) % 0.40/0.63 (define @t247 () (not (or @t246 (not @t243)))) % 0.40/0.63 (define @t248 () (lambda @t22 @t247)) % 0.40/0.63 (define @t249 () (_ @t219 @t232)) % 0.40/0.63 (define @t250 () (forall @t42 (or @t172 @t217))) % 0.40/0.63 (define @t251 () (lambda @t37 @t250)) % 0.40/0.63 (define @t252 () (_ @t251 @t5)) % 0.40/0.63 (define @t253 () (not @t252)) % 0.40/0.63 (define @t254 () (lambda @t37 @t253)) % 0.40/0.63 (define @t255 () (not @t40)) % 0.40/0.63 (define @t256 () (or @t172 @t255)) % 0.40/0.63 (define @t257 () (lambda @t37 @t12)) % 0.40/0.63 (define @t258 () (_ @t257 @t39)) % 0.40/0.63 (define @t259 () (or @t172 @t258)) % 0.40/0.63 (define @t260 () (forall @t42 @t259)) % 0.40/0.63 (define @t261 () (lambda @t37 @t260)) % 0.40/0.63 (define @t262 () (lambda @t189 @t243)) % 0.40/0.63 (define @t263 () (_ @t262 @t18)) % 0.40/0.63 (define @t264 () (not @t263)) % 0.40/0.63 (define @t265 () (or @t246 @t264)) % 0.40/0.63 (define @t266 () (not @t265)) % 0.40/0.63 (define @t267 () (lambda @t189 @t266)) % 0.40/0.63 (define @t268 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.40/0.63 (define @t269 () (not (_ @t268 @t18))) % 0.40/0.63 (define @t270 () (@list @t268 @t18)) % 0.40/0.63 (define @t271 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.40/0.63 (define @t272 () (_ @t271 @t18)) % 0.40/0.63 (define @t273 () (lambda (@list @t271 @t18) (or @t206 @t272))) % 0.40/0.63 (define @t274 () (lambda @t22 @t245)) % 0.40/0.63 (define @t275 () (@list @t15)) % 0.40/0.63 (define @t276 () (lambda @t189 @t245)) % 0.40/0.63 (define @t277 () (_ @t276 @t18)) % 0.40/0.63 (define @t278 () (not @t277)) % 0.40/0.63 (define @t279 () (or @t278 @t269)) % 0.40/0.63 (define @t280 () (not @t279)) % 0.40/0.63 (define @t281 () (lambda @t270 @t280)) % 0.40/0.63 (define @t282 () (not (or @t244 @t206))) % 0.40/0.63 (define @t283 () (lambda @t22 @t282)) % 0.40/0.63 (define @t284 () (lambda @t207 @t245)) % 0.40/0.63 (define @t285 () (or @t12 @t16)) % 0.40/0.63 (define @t286 () (lambda @t37 @t285)) % 0.40/0.63 (define @t287 () (@list @t15 @t5)) % 0.40/0.63 (define @t288 () (lambda @t287 @t285)) % 0.40/0.63 (define @t289 () (_ @t257 @t5)) % 0.40/0.63 (define @t290 () (or @t289 @t16)) % 0.40/0.63 (define @t291 () (lambda @t287 @t290)) % 0.40/0.63 (define @t292 () (not @t16)) % 0.40/0.63 (define @t293 () (or @t12 @t292)) % 0.40/0.63 (define @t294 () (lambda @t37 @t293)) % 0.40/0.63 (define @t295 () (_ @t294 @t5)) % 0.40/0.63 (define @t296 () (not @t295)) % 0.40/0.63 (define @t297 () (lambda @t37 @t296)) % 0.40/0.63 (define @t298 () (lambda @t37 @t292)) % 0.40/0.63 (define @t299 () (_ @t298 @t5)) % 0.40/0.63 (define @t300 () (or @t12 @t299)) % 0.40/0.63 (define @t301 () (lambda @t37 @t300)) % 0.40/0.63 (define @t302 () (not @t111)) % 0.40/0.63 (define @t303 () (forall @t101 (or (not (tptp.rel_b @t112 @t97)) @t99))) % 0.40/0.63 (define @t304 () (not @t303)) % 0.40/0.63 (define @t305 () (tptp.rel_b @t113 @t112)) % 0.40/0.63 (define @t306 () (not @t305)) % 0.40/0.63 (define @t307 () (forall @t42 (or (not (tptp.rel_b @t113 @t39)) @t106))) % 0.40/0.63 (define @t308 () (not @t307)) % 0.40/0.63 (define @t309 () (or @t308 @t306 @t304)) % 0.40/0.63 (define @t310 () (not @t309)) % 0.40/0.63 (define @t311 () (@list true)) % 0.40/0.63 (define @t312 () (@list @t309)) % 0.40/0.63 (define @t313 () (tptp.rel_b @t112 @t113)) % 0.40/0.63 (define @t314 () (or @t306 @t313)) % 0.40/0.63 (define @t315 () (@var "BOUND_VARIABLE_10774" $$unsorted)) % 0.40/0.63 (define @t316 () (@var "BOUND_VARIABLE_10773" $$unsorted)) % 0.40/0.63 (define @t317 () (@list @t316 @t315)) % 0.40/0.63 (define @t318 () (forall @t98 (or (not (tptp.rel_b @t113 @t94)) @t96))) % 0.40/0.63 (define @t319 () (not @t318)) % 0.40/0.63 (define @t320 () (not @t313)) % 0.40/0.63 (define @t321 () (or @t320 @t319)) % 0.40/0.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.40/0.63 (assume @p2 (_ tptp.mreflexive tptp.rel_b)) % 0.40/0.63 (assume @p3 (_ tptp.msymmetric tptp.rel_b)) % 0.40/0.63 (assume @p4 @t2) % 0.40/0.63 (assume @p5 true) % 0.40/0.63 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.40/0.63 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.40/0.63 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.40/0.63 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.40/0.63 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.40/0.63 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.40/0.63 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.40/0.63 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.40/0.63 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.40/0.63 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.40/0.63 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.40/0.63 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.40/0.63 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.40/0.63 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.40/0.63 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.40/0.63 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.40/0.63 (step @p22 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.40/0.63 (step @p23 (= tptp.msymmetric @t56) :rule refl :args (@t56)) % 0.40/0.63 (step @p24 (= tptp.mserial @t58) :rule refl :args (@t58)) % 0.40/0.63 (step @p25 (= tptp.mtransitive @t63) :rule refl :args (@t63)) % 0.40/0.63 (step @p26 (= tptp.meuclidean @t65) :rule refl :args (@t65)) % 0.40/0.63 (step @p27 (= tptp.mpartially_functional @t67) :rule refl :args (@t67)) % 0.40/0.63 (step @p28 (= tptp.mfunctional @t69) :rule refl :args (@t69)) % 0.40/0.63 (step @p29 (= tptp.mweakly_dense @t72) :rule refl :args (@t72)) % 0.40/0.63 (step @p30 (= tptp.mweakly_connected @t73) :rule refl :args (@t73)) % 0.40/0.63 (step @p31 (= tptp.mweakly_directed @t74) :rule refl :args (@t74)) % 0.40/0.63 (step @p32 (= tptp.mvalid @t77) :rule refl :args (@t77)) % 0.40/0.63 (step @p33 (= tptp.minvalid @t78) :rule refl :args (@t78)) % 0.40/0.63 (step @p34 (= tptp.msatisfiable @t79) :rule refl :args (@t79)) % 0.40/0.63 (step @p35 (= tptp.mcountersatisfiable @t80) :rule refl :args (@t80)) % 0.40/0.63 (step @p36 (= tptp.mbox_b @t85) :rule refl :args (@t85)) % 0.40/0.63 (step @p37 (= tptp.mdia_b @t87) :rule refl :args (@t87)) % 0.40/0.63 (step @p38 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t54 (or (not @t89) @t88))) tptp.rel_b) (forall @t54 (or (not (tptp.rel_b @t45 @t50)) (tptp.rel_b @t50 @t45)))))) % 0.40/0.63 (step @p39 :rule refl :args (tptp.rel_b)) % 0.40/0.63 (step @p40 :rule refl :args (@t88)) % 0.40/0.63 (step @p41 :rule refl :args (@t52)) % 0.40/0.63 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t52 @t88))) % 0.40/0.63 (step @p43 :rule symm :premises (@p42)) % 0.40/0.63 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.40/0.63 (step @p45 :rule refl :args (@t89)) % 0.40/0.63 (step @p46 :rule refl :args (@t53)) % 0.40/0.63 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t53 @t89))) % 0.40/0.63 (step @p48 :rule symm :premises (@p47)) % 0.40/0.63 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.40/0.63 (step @p50 :rule cong :premises (@p49) :args (@t90)) % 0.40/0.63 (step @p51 :rule nary_cong :premises (@p50 @p44) :args (@t91)) % 0.40/0.63 (step @p52 :rule cong :premises (@p51) :args ((forall @t54 @t91))) % 0.40/0.63 (step @p53 :rule bool-impl-elim :args (@t53 @t52)) % 0.40/0.63 (step @p54 :rule cong :premises (@p53) :args (@t55)) % 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:args ((or @t309 (not @t306)))) % 0.40/0.63 (step @p436 :rule cnf_or_neg :args (@t309 1)) % 0.40/0.63 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.40/0.63 (step @p438 :rule reordering :premises (@p437) :args ((or @t305 @t309))) % 0.40/0.63 (step @p439 :rule chain_m_resolution :premises (@p438 @p432) :args (@t305 @t311 @t312)) % 0.40/0.63 (step @p440 :rule cnf_or_pos :args (@t314)) % 0.40/0.63 (step @p441 :rule reordering :premises (@p440) :args ((or @t306 @t313 (not @t314)))) % 0.40/0.63 (step @p442 :rule chain_m_resolution :premises (@p441 @p439 @p61) :args (@t313 (@list false false) (@list @t305 @t314))) % 0.40/0.63 (step @p443 :rule bool-double-not-elim :args (@t307)) % 0.40/0.63 (step @p444 :rule nary_cong :premises (@p434 @p443) :args ((or @t309 (not @t308)))) % 0.40/0.63 (step @p445 :rule cnf_or_neg :args (@t309 0)) % 0.40/0.63 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 0.40/0.63 (step @p447 :rule reordering :premises (@p446) :args ((or @t307 @t309))) % 0.40/0.63 (step @p448 :rule chain_m_resolution :premises (@p447 @p432) :args (@t307 @t311 @t312)) % 0.40/0.63 (step @p449 :rule alpha_equiv :args ((forall (@list @t316) (or (not (tptp.rel_b @t113 @t316)) (not (forall (@list @t315) (or (not (tptp.rel_b @t316 @t315)) (tptp.p @t315)))))) @t317 (@list @t94 @t92))) % 0.40/0.63 (step @p450 :rule alpha_equiv :args (@t307 (@list @t39 @t92) @t317)) % 0.40/0.63 (step @p451 :rule trans :premises (@p450 @p449)) % 0.40/0.63 (step @p452 :rule equiv_elim1 :premises (@p451)) % 0.40/0.63 (step @p453 :rule chain_m_resolution :premises (@p452 @p448) :args (@t318 @t151 (@list @t307))) % 0.40/0.63 (step @p454 :rule bool-double-not-elim :args (@t303)) % 0.40/0.63 (step @p455 :rule nary_cong :premises (@p434 @p454) :args ((or @t309 (not @t304)))) % 0.40/0.63 (step @p456 :rule cnf_or_neg :args (@t309 2)) % 0.40/0.63 (step @p457 :rule eq_resolve :premises (@p456 @p455)) % 0.40/0.63 (step @p458 :rule reordering :premises (@p457) :args ((or @t303 @t309))) % 0.40/0.63 (step @p459 :rule chain_m_resolution :premises (@p458 @p432) :args (@t303 @t311 @t312)) % 0.40/0.63 (assume-push @p479 @t303) % 0.40/0.63 (step @p461 :rule instantiate :premises (@p479) :args ((@list @t113))) % 0.40/0.63 (step-pop @p480 :rule scope :premises (@p461)) % 0.40/0.63 (step @p462 :rule process_scope :premises (@p480) :args (@t321)) % 0.40/0.63 (step @p464 :rule implies_elim :premises (@p462)) % 0.40/0.63 (step @p465 :rule chain_m_resolution :premises (@p464 @p459) :args (@t321 @t151 (@list @t303))) % 0.40/0.63 (step @p466 :rule cnf_or_pos :args (@t321)) % 0.40/0.63 (step @p467 :rule reordering :premises (@p466) :args ((or @t320 @t319 (not @t321)))) % 0.40/0.63 (step @p468 false :rule chain_m_resolution :premises (@p467 @p465 @p453 @p442) :args (false (@list false false false) (@list @t321 @t318 @t313))) % 0.40/0.63 ) % 0.40/0.63 % SZS output end Proof % 0.40/0.63 % cvc5 exiting %------------------------------------------------------------------------------