%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO447^1 : 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 : n015.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 09:12:40 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO447^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:08:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-sort tptp.mu 0) % 0.44/0.63 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.q (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.63 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.44/0.63 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.63 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.63 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.63 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.44/0.63 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.63 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.63 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.63 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.63 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.63 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.63 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.44/0.63 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.63 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.63 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.63 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.63 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.44/0.63 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.44/0.63 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.44/0.63 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.44/0.63 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.44/0.63 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.44/0.63 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.44/0.63 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$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_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.44/0.63 (define tptp.mdia_s5 () (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_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.44/0.63 (define @t1 () (_ tptp.mbox_s5 tptp.q)) % 0.44/0.63 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ (_ tptp.mand (_ tptp.mdia_s5 tptp.p)) @t1)) (_ tptp.mdia_s5 (_ (_ tptp.mand tptp.p) @t1)))))) % 0.44/0.63 (define @t3 () (@var "Y" tptp.mu)) % 0.44/0.63 (define @t4 () (@var "X" tptp.mu)) % 0.44/0.63 (define @t5 () (@var "W" $$unsorted)) % 0.44/0.63 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.44/0.63 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.63 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.63 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.44/0.63 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.63 (define @t11 () (_ @t10 @t5)) % 0.44/0.63 (define @t12 () (not @t11)) % 0.44/0.63 (define @t13 () (@list @t10 @t5)) % 0.44/0.63 (define @t14 () (lambda @t13 @t12)) % 0.44/0.63 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.63 (define @t16 () (_ @t15 @t5)) % 0.44/0.63 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.44/0.63 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.63 (define @t19 () (_ tptp.mnot @t15)) % 0.44/0.63 (define @t20 () (_ tptp.mnot @t10)) % 0.44/0.63 (define @t21 () (_ tptp.mor @t20)) % 0.44/0.63 (define @t22 () (@list @t10 @t15 @t18)) % 0.44/0.63 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.44/0.63 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.44/0.63 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.44/0.63 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.44/0.63 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.44/0.63 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.63 (define @t29 () (_ @t28 @t4)) % 0.44/0.63 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.44/0.63 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.63 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.63 (define @t33 () (_ @t32 @t31)) % 0.44/0.63 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.44/0.63 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.44/0.63 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.44/0.63 (define @t37 () (@list @t5)) % 0.44/0.63 (define @t38 () (lambda @t37 true)) % 0.44/0.63 (define @t39 () (@var "V" $$unsorted)) % 0.44/0.63 (define @t40 () (_ @t10 @t39)) % 0.44/0.63 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.63 (define @t42 () (@list @t39)) % 0.44/0.63 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.44/0.63 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.44/0.63 (define @t45 () (@var "S" $$unsorted)) % 0.44/0.63 (define @t46 () (_ @t41 @t45)) % 0.44/0.63 (define @t47 () (@list @t45)) % 0.44/0.63 (define @t48 () (@list @t41)) % 0.44/0.63 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.44/0.63 (define @t50 () (@var "T" $$unsorted)) % 0.44/0.63 (define @t51 () (_ @t41 @t50)) % 0.44/0.63 (define @t52 () (_ @t51 @t45)) % 0.44/0.63 (define @t53 () (_ @t46 @t50)) % 0.44/0.63 (define @t54 () (@list @t45 @t50)) % 0.44/0.63 (define @t55 () (forall @t54 (=> @t53 @t52))) % 0.44/0.63 (define @t56 () (lambda @t48 @t55)) % 0.44/0.63 (define @t57 () (@list @t50)) % 0.44/0.63 (define @t58 () (lambda @t48 (forall @t47 (exists @t57 @t53)))) % 0.44/0.63 (define @t59 () (@var "U" $$unsorted)) % 0.44/0.63 (define @t60 () (_ @t46 @t59)) % 0.44/0.63 (define @t61 () (_ @t51 @t59)) % 0.44/0.63 (define @t62 () (and @t53 @t61)) % 0.44/0.63 (define @t63 () (@list @t45 @t50 @t59)) % 0.44/0.63 (define @t64 () (forall @t63 (=> @t62 @t60))) % 0.44/0.63 (define @t65 () (lambda @t48 @t64)) % 0.44/0.63 (define @t66 () (and @t53 @t60)) % 0.44/0.63 (define @t67 () (lambda @t48 (forall @t63 (=> @t66 @t61)))) % 0.44/0.63 (define @t68 () (= @t50 @t59)) % 0.44/0.63 (define @t69 () (lambda @t48 (forall @t63 (=> @t66 @t68)))) % 0.44/0.63 (define @t70 () (@list @t59)) % 0.44/0.63 (define @t71 () (lambda @t48 (forall @t47 (exists @t57 (and @t53 (forall @t70 (=> @t60 @t68))))))) % 0.44/0.63 (define @t72 () (_ @t41 @t59)) % 0.44/0.63 (define @t73 () (_ @t72 @t50)) % 0.44/0.63 (define @t74 () (lambda @t48 (forall @t63 (=> @t53 (exists @t70 (and @t60 @t73)))))) % 0.44/0.63 (define @t75 () (lambda @t48 (forall @t63 (=> @t66 (or @t61 @t68 @t73))))) % 0.44/0.63 (define @t76 () (lambda @t48 (forall @t63 (=> @t66 (exists @t42 (and (_ @t51 @t39) (_ @t72 @t39))))))) % 0.44/0.63 (define @t77 () (forall @t37 @t11)) % 0.44/0.63 (define @t78 () (@list @t10)) % 0.44/0.63 (define @t79 () (lambda @t78 @t77)) % 0.44/0.63 (define @t80 () (lambda @t78 (forall @t37 @t12))) % 0.44/0.63 (define @t81 () (lambda @t78 (exists @t37 @t11))) % 0.44/0.63 (define @t82 () (lambda @t78 (exists @t37 @t12))) % 0.44/0.63 (define @t83 () (_ (_ tptp.rel_s5 @t5) @t39)) % 0.44/0.63 (define @t84 () (not @t83)) % 0.44/0.63 (define @t85 () (or @t84 @t40)) % 0.44/0.63 (define @t86 () (forall @t42 @t85)) % 0.44/0.63 (define @t87 () (lambda @t13 @t86)) % 0.44/0.63 (define @t88 () (@list @t10 @t18)) % 0.44/0.63 (define @t89 () (lambda @t88 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t20)) @t18))) % 0.44/0.63 (define @t90 () (not (tptp.rel_s5 @t45 @t50))) % 0.44/0.63 (define @t91 () (forall @t63 (or @t90 (not (tptp.rel_s5 @t50 @t59)) (tptp.rel_s5 @t45 @t59)))) % 0.44/0.63 (define @t92 () (_ @t41 @t45 @t59)) % 0.44/0.63 (define @t93 () (_ @t41 @t50 @t59)) % 0.44/0.63 (define @t94 () (_ @t41 @t45 @t50)) % 0.44/0.63 (define @t95 () (not @t94)) % 0.44/0.63 (define @t96 () (not @t61)) % 0.44/0.63 (define @t97 () (not @t53)) % 0.44/0.63 (define @t98 () (or @t97 @t96 @t60)) % 0.44/0.63 (define @t99 () (_ @t41 @t50 @t45)) % 0.44/0.63 (define @t100 () (or @t97 @t52)) % 0.44/0.63 (define @t101 () (@var "BOUND_VARIABLE_8500" $$unsorted)) % 0.44/0.63 (define @t102 () (tptp.q @t101)) % 0.44/0.63 (define @t103 () (@var "BOUND_VARIABLE_8615" $$unsorted)) % 0.44/0.63 (define @t104 () (@list @t101)) % 0.44/0.63 (define @t105 () (not (forall @t104 (or (not (tptp.rel_s5 @t103 @t101)) @t102)))) % 0.44/0.63 (define @t106 () (not (tptp.p @t103))) % 0.44/0.63 (define @t107 () (@var "BOUND_VARIABLE_8587" $$unsorted)) % 0.44/0.63 (define @t108 () (not (tptp.rel_s5 @t107 @t103))) % 0.44/0.63 (define @t109 () (@var "BOUND_VARIABLE_8627" $$unsorted)) % 0.44/0.63 (define @t110 () (or (not (tptp.rel_s5 @t107 @t109)) (tptp.q @t109))) % 0.44/0.63 (define @t111 () (tptp.p @t39)) % 0.44/0.63 (define @t112 () (not @t111)) % 0.44/0.63 (define @t113 () (not (tptp.rel_s5 @t107 @t39))) % 0.44/0.63 (define @t114 () (not (forall @t42 (or @t113 @t112)))) % 0.44/0.63 (define @t115 () (and @t114 @t110)) % 0.44/0.63 (define @t116 () (or @t115 @t108 @t106 @t105)) % 0.44/0.63 (define @t117 () (@list @t107 @t103 @t109)) % 0.44/0.63 (define @t118 () (forall @t117 @t116)) % 0.44/0.63 (define @t119 () (@quantifiers_skolemize @t118 1)) % 0.44/0.63 (define @t120 () (@quantifiers_skolemize @t118 0)) % 0.44/0.63 (define @t121 () (not (forall @t104 (or (not (tptp.rel_s5 @t39 @t101)) @t102)))) % 0.44/0.63 (define @t122 () (@var "BOUND_VARIABLE_8603" $$unsorted)) % 0.44/0.63 (define @t123 () (not (tptp.p @t122))) % 0.44/0.63 (define @t124 () (@var "BOUND_VARIABLE_8572" $$unsorted)) % 0.44/0.63 (define @t125 () (not (tptp.rel_s5 @t124 @t122))) % 0.44/0.63 (define @t126 () (tptp.q @t39)) % 0.44/0.63 (define @t127 () (not (tptp.rel_s5 @t124 @t39))) % 0.44/0.63 (define @t128 () (not (forall @t42 (or @t127 @t126)))) % 0.44/0.63 (define @t129 () (not (forall @t42 (or @t127 @t112 @t121)))) % 0.44/0.63 (define @t130 () (or @t129 @t128 @t125 @t123)) % 0.44/0.63 (define @t131 () (@list @t124 @t122)) % 0.44/0.63 (define @t132 () (forall @t131 @t130)) % 0.44/0.63 (define @t133 () (@quantifiers_skolemize @t132 0)) % 0.44/0.63 (define @t134 () (not (tptp.rel_s5 @t133 @t39))) % 0.44/0.63 (define @t135 () (forall @t42 (or @t134 @t112 @t121))) % 0.44/0.63 (define @t136 () (@quantifiers_skolemize @t132 1)) % 0.44/0.63 (define @t137 () (tptp.p @t136)) % 0.44/0.63 (define @t138 () (not @t137)) % 0.44/0.63 (define @t139 () (tptp.rel_s5 @t133 @t136)) % 0.44/0.63 (define @t140 () (not @t139)) % 0.44/0.63 (define @t141 () (forall @t42 (or @t134 @t126))) % 0.44/0.63 (define @t142 () (not @t141)) % 0.44/0.63 (define @t143 () (not @t135)) % 0.44/0.63 (define @t144 () (or @t143 @t142 @t140 @t138)) % 0.44/0.63 (define @t145 () (forall @t104 (or (not (tptp.rel_s5 @t136 @t101)) @t102))) % 0.44/0.63 (define @t146 () (not @t145)) % 0.44/0.63 (define @t147 () (or @t140 @t138 @t146)) % 0.44/0.63 (define @t148 () (@quantifiers_skolemize @t145 0)) % 0.44/0.63 (define @t149 () (tptp.q @t148)) % 0.44/0.63 (define @t150 () (tptp.rel_s5 @t133 @t148)) % 0.44/0.63 (define @t151 () (not @t150)) % 0.44/0.63 (define @t152 () (or @t151 @t149)) % 0.44/0.63 (define @t153 () (tptp.rel_s5 @t136 @t148)) % 0.44/0.63 (define @t154 () (not @t153)) % 0.44/0.63 (define @t155 () (or @t154 @t149)) % 0.44/0.63 (define @t156 () (not @t155)) % 0.44/0.63 (define @t157 () (or @t140 @t154 @t150)) % 0.44/0.63 (define @t158 () (not @t144)) % 0.44/0.63 (define @t159 () (not @t132)) % 0.44/0.63 (define @t160 () (@list false)) % 0.44/0.63 (define @t161 () (or @t108 @t106 @t105)) % 0.44/0.63 (define @t162 () (or @t161 @t115)) % 0.44/0.63 (define @t163 () (forall @t117 @t162)) % 0.44/0.63 (define @t164 () (forall (@list @t103 @t109) @t162)) % 0.44/0.63 (define @t165 () (@list @t107)) % 0.44/0.63 (define @t166 () (@list @t109)) % 0.44/0.63 (define @t167 () (forall @t166 @t110)) % 0.44/0.63 (define @t168 () (@list @t39)) % 0.44/0.63 (define @t169 () (forall @t166 @t114)) % 0.44/0.63 (define @t170 () (and @t169 @t167)) % 0.44/0.63 (define @t171 () (forall @t166 @t115)) % 0.44/0.63 (define @t172 () (forall (@list @t103) @t161)) % 0.44/0.63 (define @t173 () (or @t172 @t171)) % 0.44/0.63 (define @t174 () (forall @t165 (or (forall @t42 (or @t113 @t112 @t121)) (and @t114 (forall @t42 (or @t113 @t126)))))) % 0.44/0.63 (define @t175 () (or @t125 @t123)) % 0.44/0.63 (define @t176 () (or @t129 @t175 @t128)) % 0.44/0.63 (define @t177 () (forall @t131 @t176)) % 0.44/0.63 (define @t178 () (@list @t122)) % 0.44/0.63 (define @t179 () (forall @t178 @t176)) % 0.44/0.63 (define @t180 () (@list @t124)) % 0.44/0.63 (define @t181 () (forall @t178 @t175)) % 0.44/0.63 (define @t182 () (or @t129 @t181 @t128)) % 0.44/0.63 (define @t183 () (forall @t180 (or @t129 (forall @t42 (or @t127 @t112)) @t128))) % 0.44/0.63 (define @t184 () (tptp.rel_s5 @t5 @t39)) % 0.44/0.63 (define @t185 () (not @t184)) % 0.44/0.63 (define @t186 () (forall @t42 (or @t185 @t126))) % 0.44/0.63 (define @t187 () (forall @t42 (or @t185 @t112))) % 0.44/0.63 (define @t188 () (not @t187)) % 0.44/0.63 (define @t189 () (forall @t42 (or @t185 @t112 @t121))) % 0.44/0.63 (define @t190 () (or @t189 (and @t188 @t186))) % 0.44/0.63 (define @t191 () (forall @t37 @t190)) % 0.44/0.63 (define @t192 () (@list @t5)) % 0.44/0.63 (define @t193 () (not @t186)) % 0.44/0.63 (define @t194 () (or (not @t189) @t187 @t193)) % 0.44/0.63 (define @t195 () (forall @t37 @t194)) % 0.44/0.63 (define @t196 () (and @t195 @t191)) % 0.44/0.63 (define @t197 () (or @t189 (not (or @t187 @t193)))) % 0.44/0.63 (define @t198 () (not @t197)) % 0.44/0.63 (define @t199 () (not @t194)) % 0.44/0.63 (define @t200 () (not (or @t199 @t198))) % 0.44/0.63 (define @t201 () (not (tptp.rel_s5 @t18 @t39))) % 0.44/0.63 (define @t202 () (forall @t42 (or @t201 @t126))) % 0.44/0.63 (define @t203 () (not @t202)) % 0.44/0.63 (define @t204 () (forall @t42 (or @t201 @t112))) % 0.44/0.63 (define @t205 () (or @t204 @t203)) % 0.44/0.63 (define @t206 () (not @t205)) % 0.44/0.63 (define @t207 () (forall @t42 (or @t201 @t112 @t121))) % 0.44/0.63 (define @t208 () (not @t207)) % 0.44/0.63 (define @t209 () (@list @t18)) % 0.44/0.63 (define @t210 () (lambda @t209 (not (or (not (or @t208 @t204 @t203)) (not (or @t207 @t206)))))) % 0.44/0.63 (define @t211 () (_ @t210 @t5)) % 0.44/0.63 (define @t212 () (forall @t37 @t211)) % 0.44/0.63 (define @t213 () (_ @t10 @t5)) % 0.44/0.63 (define @t214 () (lambda @t78 (forall @t37 @t213))) % 0.44/0.63 (define @t215 () (lambda @t209 @t208)) % 0.44/0.63 (define @t216 () (_ @t215 @t18)) % 0.44/0.63 (define @t217 () (not @t216)) % 0.44/0.63 (define @t218 () (or @t217 @t206)) % 0.44/0.63 (define @t219 () (not @t218)) % 0.44/0.63 (define @t220 () (or @t216 @t204 @t203)) % 0.44/0.63 (define @t221 () (not @t220)) % 0.44/0.63 (define @t222 () (or @t221 @t219)) % 0.44/0.63 (define @t223 () (not @t222)) % 0.44/0.63 (define @t224 () (lambda @t209 @t223)) % 0.44/0.63 (define @t225 () (_ @t15 @t18)) % 0.44/0.63 (define @t226 () (not @t225)) % 0.44/0.63 (define @t227 () (or @t225 @t204 @t203)) % 0.44/0.63 (define @t228 () (@list @t15 @t18)) % 0.44/0.63 (define @t229 () (_ tptp.p @t39)) % 0.44/0.63 (define @t230 () (not @t229)) % 0.44/0.63 (define @t231 () (or @t201 @t230 @t121)) % 0.44/0.63 (define @t232 () (or @t230 @t121)) % 0.44/0.63 (define @t233 () (not (_ tptp.p @t18))) % 0.44/0.63 (define @t234 () (or @t233 @t203)) % 0.44/0.63 (define @t235 () (not @t234)) % 0.44/0.63 (define @t236 () (lambda @t209 @t235)) % 0.44/0.63 (define @t237 () (not (_ @t236 @t39))) % 0.44/0.63 (define @t238 () (or @t201 @t237)) % 0.44/0.63 (define @t239 () (forall @t42 @t238)) % 0.44/0.63 (define @t240 () (not @t239)) % 0.44/0.63 (define @t241 () (lambda @t209 @t240)) % 0.44/0.63 (define @t242 () (_ @t10 @t39)) % 0.44/0.63 (define @t243 () (not @t242)) % 0.44/0.63 (define @t244 () (not (forall @t42 (or @t201 @t243)))) % 0.44/0.63 (define @t245 () (lambda @t88 @t244)) % 0.44/0.63 (define @t246 () (lambda @t37 @t186)) % 0.44/0.63 (define @t247 () (_ @t246 @t18)) % 0.44/0.63 (define @t248 () (not @t247)) % 0.44/0.63 (define @t249 () (or @t233 @t248)) % 0.44/0.63 (define @t250 () (not @t249)) % 0.44/0.63 (define @t251 () (lambda @t209 @t250)) % 0.44/0.63 (define @t252 () (lambda @t228 (not (or @t233 @t226)))) % 0.44/0.63 (define @t253 () (lambda @t13 (forall @t42 (or @t185 @t242)))) % 0.44/0.63 (define @t254 () (_ @t253 tptp.q)) % 0.44/0.63 (define @t255 () (_ @t10 @t18)) % 0.44/0.63 (define @t256 () (not @t255)) % 0.44/0.63 (define @t257 () (not (or @t256 @t226))) % 0.44/0.63 (define @t258 () (lambda @t22 @t257)) % 0.44/0.63 (define @t259 () (_ @t258 tptp.p)) % 0.44/0.63 (define @t260 () (lambda @t209 @t206)) % 0.44/0.63 (define @t261 () (_ @t260 @t18)) % 0.44/0.63 (define @t262 () (or @t226 @t261)) % 0.44/0.63 (define @t263 () (not @t262)) % 0.44/0.63 (define @t264 () (not @t261)) % 0.44/0.63 (define @t265 () (or @t264 @t225)) % 0.44/0.63 (define @t266 () (not @t265)) % 0.44/0.63 (define @t267 () (or @t266 @t263)) % 0.44/0.63 (define @t268 () (not @t267)) % 0.44/0.63 (define @t269 () (lambda @t228 @t268)) % 0.44/0.63 (define @t270 () (or @t226 @t255)) % 0.44/0.63 (define @t271 () (or @t256 @t225)) % 0.44/0.63 (define @t272 () (not @t271)) % 0.44/0.63 (define @t273 () (not (or @t272 (not @t270)))) % 0.44/0.63 (define @t274 () (lambda @t22 @t273)) % 0.44/0.63 (define @t275 () (or @t204 @t248)) % 0.44/0.63 (define @t276 () (not @t275)) % 0.44/0.63 (define @t277 () (lambda @t209 @t276)) % 0.44/0.63 (define @t278 () (not @t204)) % 0.44/0.63 (define @t279 () (lambda @t209 @t278)) % 0.44/0.63 (define @t280 () (_ @t279 @t18)) % 0.44/0.63 (define @t281 () (not @t280)) % 0.44/0.63 (define @t282 () (or @t281 @t226)) % 0.44/0.63 (define @t283 () (not @t282)) % 0.44/0.63 (define @t284 () (lambda @t228 @t283)) % 0.44/0.63 (define @t285 () (_ @t245 tptp.p)) % 0.44/0.63 (define @t286 () (not @t16)) % 0.44/0.63 (define @t287 () (or @t12 @t286)) % 0.44/0.63 (define @t288 () (lambda @t37 @t287)) % 0.44/0.63 (define @t289 () (_ @t288 @t5)) % 0.44/0.63 (define @t290 () (not @t289)) % 0.44/0.63 (define @t291 () (lambda @t37 @t290)) % 0.44/0.63 (define @t292 () (lambda @t37 @t286)) % 0.44/0.63 (define @t293 () (_ @t292 @t5)) % 0.44/0.63 (define @t294 () (or @t12 @t293)) % 0.44/0.63 (define @t295 () (lambda @t37 @t294)) % 0.44/0.63 (define @t296 () (or @t12 @t16)) % 0.44/0.63 (define @t297 () (@list @t15 @t5)) % 0.44/0.63 (define @t298 () (lambda @t297 @t296)) % 0.44/0.63 (define @t299 () (lambda @t37 @t12)) % 0.44/0.63 (define @t300 () (_ @t299 @t5)) % 0.44/0.63 (define @t301 () (or @t300 @t16)) % 0.44/0.63 (define @t302 () (lambda @t297 @t301)) % 0.44/0.63 (define @t303 () (forall @t42 (or @t185 @t243))) % 0.44/0.63 (define @t304 () (lambda @t37 @t303)) % 0.44/0.63 (define @t305 () (_ @t304 @t5)) % 0.44/0.63 (define @t306 () (not @t305)) % 0.44/0.63 (define @t307 () (lambda @t37 @t306)) % 0.44/0.63 (define @t308 () (not @t40)) % 0.44/0.63 (define @t309 () (or @t185 @t308)) % 0.44/0.63 (define @t310 () (_ @t299 @t39)) % 0.44/0.63 (define @t311 () (or @t185 @t310)) % 0.44/0.63 (define @t312 () (forall @t42 @t311)) % 0.44/0.63 (define @t313 () (lambda @t37 @t312)) % 0.44/0.63 (define @t314 () (lambda @t209 @t270)) % 0.44/0.63 (define @t315 () (_ @t314 @t18)) % 0.44/0.63 (define @t316 () (not @t315)) % 0.44/0.63 (define @t317 () (or @t272 @t316)) % 0.44/0.63 (define @t318 () (not @t317)) % 0.44/0.63 (define @t319 () (lambda @t209 @t318)) % 0.44/0.63 (define @t320 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.44/0.63 (define @t321 () (not (_ @t320 @t18))) % 0.44/0.63 (define @t322 () (@list @t320 @t18)) % 0.44/0.63 (define @t323 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.44/0.63 (define @t324 () (_ @t323 @t18)) % 0.44/0.63 (define @t325 () (lambda (@list @t323 @t18) (or @t226 @t324))) % 0.44/0.63 (define @t326 () (lambda @t22 @t271)) % 0.44/0.63 (define @t327 () (@list @t15)) % 0.44/0.63 (define @t328 () (lambda @t209 @t271)) % 0.44/0.63 (define @t329 () (_ @t328 @t18)) % 0.44/0.63 (define @t330 () (not @t329)) % 0.44/0.63 (define @t331 () (or @t330 @t321)) % 0.44/0.63 (define @t332 () (not @t331)) % 0.44/0.63 (define @t333 () (lambda @t322 @t332)) % 0.44/0.63 (define @t334 () (lambda @t228 @t271)) % 0.44/0.63 (define @t335 () (lambda @t37 @t296)) % 0.44/0.63 (define @t336 () (not @t118)) % 0.44/0.63 (define @t337 () (forall @t104 (or (not (tptp.rel_s5 @t119 @t101)) @t102))) % 0.44/0.63 (define @t338 () (not @t337)) % 0.44/0.63 (define @t339 () (tptp.p @t119)) % 0.44/0.63 (define @t340 () (not @t339)) % 0.44/0.63 (define @t341 () (tptp.rel_s5 @t120 @t119)) % 0.44/0.63 (define @t342 () (not @t341)) % 0.44/0.63 (define @t343 () (@quantifiers_skolemize @t118 2)) % 0.44/0.63 (define @t344 () (tptp.q @t343)) % 0.44/0.63 (define @t345 () (tptp.rel_s5 @t120 @t343)) % 0.44/0.63 (define @t346 () (not @t345)) % 0.44/0.63 (define @t347 () (or @t346 @t344)) % 0.44/0.63 (define @t348 () (forall @t42 (or (not (tptp.rel_s5 @t120 @t39)) @t112))) % 0.44/0.63 (define @t349 () (not @t348)) % 0.44/0.63 (define @t350 () (and @t349 @t347)) % 0.44/0.63 (define @t351 () (or @t350 @t342 @t340 @t338)) % 0.44/0.63 (define @t352 () (not @t351)) % 0.44/0.63 (define @t353 () (@list true)) % 0.44/0.63 (define @t354 () (@list @t351)) % 0.44/0.63 (define @t355 () (tptp.rel_s5 @t119 @t120)) % 0.44/0.63 (define @t356 () (or @t342 @t355)) % 0.44/0.63 (define @t357 () (@list false false)) % 0.44/0.63 (define @t358 () (tptp.rel_s5 @t119 @t343)) % 0.44/0.63 (define @t359 () (not @t358)) % 0.44/0.63 (define @t360 () (or @t359 @t344)) % 0.44/0.63 (define @t361 () (or @t342 @t340)) % 0.44/0.63 (define @t362 () (not @t361)) % 0.44/0.63 (define @t363 () (not @t347)) % 0.44/0.63 (define @t364 () (@list @t347)) % 0.44/0.63 (define @t365 () (@list true false)) % 0.44/0.63 (define @t366 () (not @t355)) % 0.44/0.63 (define @t367 () (or @t366 @t346 @t358)) % 0.44/0.63 (define @t368 () (not @t367)) % 0.44/0.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.63 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.44/0.63 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.44/0.63 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.44/0.63 (assume @p5 @t2) % 0.44/0.63 (assume @p6 true) % 0.44/0.63 (step @p7 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.44/0.63 (step @p8 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.44/0.63 (step @p9 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.44/0.63 (step @p10 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.44/0.63 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.44/0.63 (step @p12 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.44/0.63 (step @p13 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.44/0.63 (step @p14 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.44/0.63 (step @p15 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.44/0.63 (step @p16 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.44/0.63 (step @p17 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.44/0.63 (step @p18 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.44/0.63 (step @p19 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.44/0.63 (step @p20 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.44/0.63 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.44/0.63 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.44/0.63 (step @p23 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 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% 0.44/0.63 (step @p494 :rule not_and :premises (@p493)) % 0.44/0.63 (step @p495 :rule chain_m_resolution :premises (@p494 @p154) :args (@t336 @t160 (@list @t132))) % 0.44/0.63 (step @p496 :rule refl :args (@t352)) % 0.44/0.63 (step @p497 :rule bool-double-not-elim :args (@t118)) % 0.44/0.63 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or (not @t336) @t352))) % 0.44/0.63 (assume-push @p582 @t336) % 0.44/0.63 (step @p500 :rule skolemize :premises (@p582)) % 0.44/0.63 (step-pop @p583 :rule scope :premises (@p500)) % 0.44/0.63 (step @p501 :rule process_scope :premises (@p583) :args (@t352)) % 0.44/0.63 (step @p503 :rule implies_elim :premises (@p501)) % 0.44/0.63 (step @p504 :rule eq_resolve :premises (@p503 @p498)) % 0.44/0.63 (step @p505 :rule chain_m_resolution :premises (@p504 @p495) :args (@t352 @t353 (@list @t118))) % 0.44/0.63 (step @p506 :rule bool-double-not-elim :args (@t341)) % 0.44/0.63 (step @p507 :rule refl :args (@t351)) % 0.44/0.63 (step @p508 :rule nary_cong :premises (@p507 @p506) :args ((or @t351 (not @t342)))) % 0.44/0.63 (step @p509 :rule cnf_or_neg :args (@t351 1)) % 0.44/0.63 (step @p510 :rule eq_resolve :premises (@p509 @p508)) % 0.44/0.63 (step @p511 :rule reordering :premises (@p510) :args ((or @t341 @t351))) % 0.44/0.63 (step @p512 :rule chain_m_resolution :premises (@p511 @p505) :args (@t341 @t353 @t354)) % 0.44/0.63 (step @p513 :rule cnf_or_pos :args (@t356)) % 0.44/0.63 (step @p514 :rule reordering :premises (@p513) :args ((or @t342 @t355 (not @t356)))) % 0.44/0.63 (step @p515 :rule chain_m_resolution :premises (@p514 @p512 @p89) :args (@t355 @t357 (@list @t341 @t356))) % 0.44/0.63 (step @p516 :rule bool-double-not-elim :args (@t337)) % 0.44/0.63 (step @p517 :rule nary_cong :premises (@p507 @p516) :args ((or @t351 (not @t338)))) % 0.44/0.63 (step @p518 :rule cnf_or_neg :args (@t351 3)) % 0.44/0.63 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 0.44/0.63 (step @p520 :rule reordering :premises (@p519) :args ((or @t337 @t351))) % 0.44/0.63 (step @p521 :rule chain_m_resolution :premises (@p520 @p505) :args (@t337 @t353 @t354)) % 0.44/0.63 (assume-push @p584 @t337) % 0.44/0.63 (step @p523 :rule instantiate :premises (@p584) :args ((@list @t343))) % 0.44/0.63 (step-pop @p585 :rule scope :premises (@p523)) % 0.44/0.63 (step @p524 :rule process_scope :premises (@p585) :args (@t360)) % 0.44/0.63 (step @p526 :rule implies_elim :premises (@p524)) % 0.44/0.63 (step @p527 :rule chain_m_resolution :premises (@p526 @p521) :args (@t360 @t160 (@list @t337))) % 0.44/0.63 (step @p528 :rule cnf_or_neg :args (@t351 0)) % 0.44/0.63 (step @p529 :rule chain_m_resolution :premises (@p528 @p505) :args ((not @t350) @t353 @t354)) % 0.44/0.63 (step @p530 :rule bool-double-not-elim :args (@t339)) % 0.44/0.63 (step @p531 :rule nary_cong :premises (@p507 @p530) :args ((or @t351 (not @t340)))) % 0.44/0.63 (step @p532 :rule cnf_or_neg :args (@t351 2)) % 0.44/0.63 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 0.44/0.63 (step @p534 :rule reordering :premises (@p533) :args ((or @t339 @t351))) % 0.44/0.63 (step @p535 :rule chain_m_resolution :premises (@p534 @p505) :args (@t339 @t353 @t354)) % 0.44/0.63 (step @p536 :rule cnf_or_pos :args (@t361)) % 0.44/0.63 (step @p537 :rule reordering :premises (@p536) :args ((or @t342 @t340 @t362))) % 0.44/0.63 (step @p538 :rule chain_m_resolution :premises (@p537 @p512 @p535) :args (@t362 @t357 (@list @t341 @t339))) % 0.44/0.63 (assume-push @p586 @t348) % 0.44/0.63 (step @p540 :rule instantiate :premises (@p586) :args ((@list @t119))) % 0.44/0.63 (step-pop @p587 :rule scope :premises (@p540)) % 0.44/0.63 (step @p541 :rule process_scope :premises (@p587) :args (@t361)) % 0.44/0.63 (step @p543 :rule implies_elim :premises (@p541)) % 0.44/0.63 (step @p544 :rule chain_m_resolution :premises (@p543 @p538) :args (@t349 @t353 (@list @t361))) % 0.44/0.63 (step @p545 :rule refl :args (@t363)) % 0.44/0.63 (step @p546 :rule bool-double-not-elim :args (@t348)) % 0.44/0.63 (step @p547 :rule refl :args (@t350)) % 0.44/0.63 (step @p548 :rule nary_cong :premises (@p547 @p546 @p545) :args ((or @t350 (not @t349) @t363))) % 0.44/0.63 (step @p549 :rule cnf_and_neg :args (@t350)) % 0.44/0.63 (step @p550 :rule eq_resolve :premises (@p549 @p548)) % 0.44/0.63 (step @p551 :rule reordering :premises (@p550) :args ((or @t348 @t350 @t363))) % 0.44/0.63 (step @p552 :rule chain_m_resolution :premises (@p551 @p544 @p529) :args (@t363 (@list true true) (@list @t348 @t350))) % 0.44/0.63 (step @p553 :rule cnf_or_neg :args (@t347 1)) % 0.44/0.63 (step @p554 :rule chain_m_resolution :premises (@p553 @p552) :args ((not @t344) @t353 @t364)) % 0.44/0.63 (step @p555 :rule cnf_or_pos :args (@t360)) % 0.44/0.63 (step @p556 :rule reordering :premises (@p555) :args ((or @t344 @t359 (not @t360)))) % 0.44/0.63 (step @p557 :rule chain_m_resolution :premises (@p556 @p554 @p527) :args (@t359 @t365 (@list @t344 @t360))) % 0.44/0.63 (step @p558 :rule bool-double-not-elim :args (@t345)) % 0.44/0.63 (step @p559 :rule refl :args (@t347)) % 0.44/0.63 (step @p560 :rule nary_cong :premises (@p559 @p558) :args ((or @t347 (not @t346)))) % 0.44/0.63 (step @p561 :rule cnf_or_neg :args (@t347 0)) % 0.44/0.63 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 0.44/0.63 (step @p563 :rule reordering :premises (@p562) :args ((or @t345 @t347))) % 0.44/0.63 (step @p564 :rule chain_m_resolution :premises (@p563 @p552) :args (@t345 @t353 @t364)) % 0.44/0.63 (step @p565 :rule cnf_or_pos :args (@t367)) % 0.44/0.63 (step @p566 :rule reordering :premises (@p565) :args ((or @t346 @t358 @t366 @t368))) % 0.44/0.63 (step @p567 :rule chain_m_resolution :premises (@p566 @p564 @p557 @p515) :args (@t368 (@list false true false) (@list @t345 @t358 @t355))) % 0.44/0.63 (assume-push @p588 @t91) % 0.44/0.63 (step @p569 :rule instantiate :premises (@p72) :args ((@list @t119 @t120 @t343))) % 0.44/0.63 (step-pop @p589 :rule scope :premises (@p569)) % 0.44/0.63 (step @p570 :rule process_scope :premises (@p589) :args (@t367)) % 0.44/0.63 (step @p572 :rule implies_elim :premises (@p570)) % 0.44/0.63 (step @p573 false :rule chain_m_resolution :premises (@p572 @p567 @p72) :args (false @t365 (@list @t367 @t91))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------