%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO471^6 : 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 : n027.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 09:12:54 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO471^6 : 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 % 0.17/0.34 % Computer : n027.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 : Wed Jun 3 00:14:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-sort tptp.mu 0) % 0.38/0.61 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.61 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.61 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.61 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.38/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.61 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.38/0.61 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.61 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.61 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.38/0.61 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.38/0.61 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.61 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.38/0.61 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.38/0.61 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.61 (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)))))))) % 0.38/0.61 (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)))))))) % 0.38/0.61 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.38/0.61 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.61 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.38/0.61 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.38/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.38/0.61 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.38/0.61 (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))))))))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.38/0.61 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.38/0.61 (define @t1 () (_ tptp.mdia_s5 tptp.p)) % 0.38/0.61 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mdia_s5 @t1)) (_ tptp.mbox_s5 @t1))))) % 0.38/0.61 (define @t3 () (@var "Y" tptp.mu)) % 0.38/0.61 (define @t4 () (@var "X" tptp.mu)) % 0.38/0.61 (define @t5 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.38/0.61 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.61 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.61 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.38/0.61 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t11 () (_ @t10 @t5)) % 0.38/0.61 (define @t12 () (not @t11)) % 0.38/0.61 (define @t13 () (@list @t10 @t5)) % 0.38/0.61 (define @t14 () (lambda @t13 @t12)) % 0.38/0.61 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t16 () (_ @t15 @t5)) % 0.38/0.61 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.38/0.61 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.61 (define @t19 () (_ tptp.mnot @t15)) % 0.38/0.61 (define @t20 () (_ tptp.mnot @t10)) % 0.38/0.61 (define @t21 () (_ tptp.mor @t20)) % 0.38/0.61 (define @t22 () (@list @t10 @t15 @t18)) % 0.38/0.61 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.38/0.61 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.38/0.61 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.38/0.61 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.38/0.61 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.38/0.61 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.61 (define @t29 () (_ @t28 @t4)) % 0.38/0.61 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.38/0.61 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.61 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.61 (define @t33 () (_ @t32 @t31)) % 0.38/0.61 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.38/0.61 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.38/0.61 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.38/0.61 (define @t37 () (@list @t5)) % 0.38/0.61 (define @t38 () (lambda @t37 true)) % 0.38/0.61 (define @t39 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t40 () (_ @t10 @t39)) % 0.38/0.61 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t42 () (@list @t39)) % 0.38/0.61 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.38/0.61 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.38/0.61 (define @t45 () (@var "S" $$unsorted)) % 0.38/0.61 (define @t46 () (_ @t41 @t45)) % 0.38/0.61 (define @t47 () (@list @t45)) % 0.38/0.61 (define @t48 () (@list @t41)) % 0.38/0.61 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.38/0.61 (define @t50 () (@var "T" $$unsorted)) % 0.38/0.61 (define @t51 () (_ @t41 @t50)) % 0.38/0.61 (define @t52 () (_ @t51 @t45)) % 0.38/0.61 (define @t53 () (_ @t46 @t50)) % 0.38/0.61 (define @t54 () (@list @t45 @t50)) % 0.38/0.61 (define @t55 () (forall @t54 (=> @t53 @t52))) % 0.38/0.61 (define @t56 () (lambda @t48 @t55)) % 0.38/0.61 (define @t57 () (@list @t50)) % 0.38/0.61 (define @t58 () (lambda @t48 (forall @t47 (exists @t57 @t53)))) % 0.38/0.61 (define @t59 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t60 () (_ @t46 @t59)) % 0.38/0.61 (define @t61 () (_ @t51 @t59)) % 0.38/0.61 (define @t62 () (and @t53 @t61)) % 0.38/0.61 (define @t63 () (@list @t45 @t50 @t59)) % 0.38/0.61 (define @t64 () (forall @t63 (=> @t62 @t60))) % 0.38/0.61 (define @t65 () (lambda @t48 @t64)) % 0.38/0.61 (define @t66 () (and @t53 @t60)) % 0.38/0.61 (define @t67 () (lambda @t48 (forall @t63 (=> @t66 @t61)))) % 0.38/0.61 (define @t68 () (= @t50 @t59)) % 0.38/0.61 (define @t69 () (lambda @t48 (forall @t63 (=> @t66 @t68)))) % 0.38/0.61 (define @t70 () (@list @t59)) % 0.38/0.61 (define @t71 () (lambda @t48 (forall @t47 (exists @t57 (and @t53 (forall @t70 (=> @t60 @t68))))))) % 0.38/0.61 (define @t72 () (_ @t41 @t59)) % 0.38/0.61 (define @t73 () (_ @t72 @t50)) % 0.38/0.61 (define @t74 () (lambda @t48 (forall @t63 (=> @t53 (exists @t70 (and @t60 @t73)))))) % 0.38/0.61 (define @t75 () (lambda @t48 (forall @t63 (=> @t66 (or @t61 @t68 @t73))))) % 0.38/0.61 (define @t76 () (lambda @t48 (forall @t63 (=> @t66 (exists @t42 (and (_ @t51 @t39) (_ @t72 @t39))))))) % 0.38/0.61 (define @t77 () (forall @t37 @t11)) % 0.38/0.61 (define @t78 () (@list @t10)) % 0.38/0.61 (define @t79 () (lambda @t78 @t77)) % 0.38/0.61 (define @t80 () (lambda @t78 (forall @t37 @t12))) % 0.38/0.61 (define @t81 () (lambda @t78 (exists @t37 @t11))) % 0.38/0.61 (define @t82 () (lambda @t78 (exists @t37 @t12))) % 0.38/0.61 (define @t83 () (_ (_ tptp.rel_s5 @t5) @t39)) % 0.38/0.61 (define @t84 () (not @t83)) % 0.38/0.61 (define @t85 () (or @t84 @t40)) % 0.38/0.61 (define @t86 () (forall @t42 @t85)) % 0.38/0.61 (define @t87 () (lambda @t13 @t86)) % 0.38/0.61 (define @t88 () (@list @t10 @t18)) % 0.38/0.61 (define @t89 () (lambda @t88 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t20)) @t18))) % 0.38/0.61 (define @t90 () (not (tptp.rel_s5 @t45 @t50))) % 0.38/0.61 (define @t91 () (forall @t63 (or @t90 (not (tptp.rel_s5 @t50 @t59)) (tptp.rel_s5 @t45 @t59)))) % 0.38/0.61 (define @t92 () (_ @t41 @t45 @t59)) % 0.38/0.61 (define @t93 () (_ @t41 @t50 @t59)) % 0.38/0.61 (define @t94 () (_ @t41 @t45 @t50)) % 0.38/0.61 (define @t95 () (not @t94)) % 0.38/0.61 (define @t96 () (not @t61)) % 0.38/0.61 (define @t97 () (not @t53)) % 0.38/0.61 (define @t98 () (or @t97 @t96 @t60)) % 0.38/0.61 (define @t99 () (_ @t41 @t50 @t45)) % 0.38/0.61 (define @t100 () (or @t97 @t52)) % 0.38/0.61 (define @t101 () (@var "BOUND_VARIABLE_8432" $$unsorted)) % 0.38/0.61 (define @t102 () (not (tptp.p @t101))) % 0.38/0.61 (define @t103 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 0.38/0.61 (define @t104 () (@list @t101)) % 0.38/0.61 (define @t105 () (not (forall @t104 (or (not (tptp.rel_s5 @t103 @t101)) @t102)))) % 0.38/0.61 (define @t106 () (not (tptp.rel_s5 @t5 @t103))) % 0.38/0.61 (define @t107 () (@var "BOUND_VARIABLE_8499" $$unsorted)) % 0.38/0.61 (define @t108 () (not (tptp.p @t107))) % 0.38/0.61 (define @t109 () (@var "BOUND_VARIABLE_8497" $$unsorted)) % 0.38/0.61 (define @t110 () (not (tptp.rel_s5 @t109 @t107))) % 0.38/0.61 (define @t111 () (not (tptp.rel_s5 @t5 @t109))) % 0.38/0.61 (define @t112 () (or @t111 @t110 @t108 @t106 @t105)) % 0.38/0.61 (define @t113 () (@list @t5 @t109 @t107 @t103)) % 0.38/0.61 (define @t114 () (forall @t113 @t112)) % 0.38/0.61 (define @t115 () (@quantifiers_skolemize @t114 3)) % 0.38/0.61 (define @t116 () (@quantifiers_skolemize @t114 0)) % 0.38/0.61 (define @t117 () (or @t106 @t105)) % 0.38/0.61 (define @t118 () (or @t111 @t110 @t108)) % 0.38/0.61 (define @t119 () (or @t118 @t117)) % 0.38/0.61 (define @t120 () (forall @t113 @t119)) % 0.38/0.61 (define @t121 () (forall (@list @t109 @t107 @t103) @t119)) % 0.38/0.61 (define @t122 () (forall (@list @t103) @t117)) % 0.38/0.61 (define @t123 () (@list @t39)) % 0.38/0.61 (define @t124 () (forall (@list @t109 @t107) @t118)) % 0.38/0.61 (define @t125 () (@var "BOUND_VARIABLE_8452" $$unsorted)) % 0.38/0.61 (define @t126 () (or @t124 @t122)) % 0.38/0.61 (define @t127 () (forall @t104 (or (not (tptp.rel_s5 @t39 @t101)) @t102))) % 0.38/0.61 (define @t128 () (not @t127)) % 0.38/0.61 (define @t129 () (tptp.rel_s5 @t5 @t39)) % 0.38/0.61 (define @t130 () (not @t129)) % 0.38/0.61 (define @t131 () (forall @t42 (or @t130 @t128))) % 0.38/0.61 (define @t132 () (not (tptp.p @t125))) % 0.38/0.61 (define @t133 () (not (tptp.rel_s5 @t39 @t125))) % 0.38/0.61 (define @t134 () (@list @t39 @t125)) % 0.38/0.61 (define @t135 () (or (forall @t134 (or @t130 @t133 @t132)) @t131)) % 0.38/0.61 (define @t136 () (not (tptp.rel_s5 @t18 @t39))) % 0.38/0.61 (define @t137 () (forall @t42 (or @t136 @t128))) % 0.38/0.61 (define @t138 () (or @t136 @t133 @t132)) % 0.38/0.61 (define @t139 () (forall @t134 @t138)) % 0.38/0.61 (define @t140 () (@list @t18)) % 0.38/0.61 (define @t141 () (lambda @t140 (or @t139 @t137))) % 0.38/0.61 (define @t142 () (_ @t141 @t5)) % 0.38/0.61 (define @t143 () (forall @t37 @t142)) % 0.38/0.61 (define @t144 () (_ @t10 @t5)) % 0.38/0.61 (define @t145 () (lambda @t78 (forall @t37 @t144))) % 0.38/0.61 (define @t146 () (lambda @t37 @t131)) % 0.38/0.61 (define @t147 () (_ @t146 @t18)) % 0.38/0.61 (define @t148 () (or @t139 @t147)) % 0.38/0.61 (define @t149 () (lambda @t140 @t148)) % 0.38/0.61 (define @t150 () (_ @t15 @t18)) % 0.38/0.61 (define @t151 () (@list @t15 @t18)) % 0.38/0.61 (define @t152 () (forall @t42 (or @t136 (not (tptp.p @t39))))) % 0.38/0.61 (define @t153 () (@list @t101)) % 0.38/0.61 (define @t154 () (not @t152)) % 0.38/0.61 (define @t155 () (lambda @t140 @t154)) % 0.38/0.61 (define @t156 () (_ @t155 @t39)) % 0.38/0.61 (define @t157 () (or @t130 @t156)) % 0.38/0.61 (define @t158 () (forall @t42 @t157)) % 0.38/0.61 (define @t159 () (lambda @t37 @t158)) % 0.38/0.61 (define @t160 () (_ @t10 @t39)) % 0.38/0.61 (define @t161 () (lambda @t13 (forall @t42 (or @t130 @t160)))) % 0.38/0.61 (define @t162 () (not @t160)) % 0.38/0.61 (define @t163 () (not (forall @t42 (or @t136 @t162)))) % 0.38/0.61 (define @t164 () (lambda @t88 @t163)) % 0.38/0.61 (define @t165 () (_ @t164 tptp.p)) % 0.38/0.61 (define @t166 () (not @t139)) % 0.38/0.61 (define @t167 () (lambda @t140 @t166)) % 0.38/0.61 (define @t168 () (_ @t167 @t18)) % 0.38/0.61 (define @t169 () (not @t168)) % 0.38/0.61 (define @t170 () (or @t169 @t150)) % 0.38/0.61 (define @t171 () (lambda @t151 @t170)) % 0.38/0.61 (define @t172 () (or (not (_ @t10 @t18)) @t150)) % 0.38/0.61 (define @t173 () (lambda @t22 @t172)) % 0.38/0.61 (define @t174 () (or @t133 @t132)) % 0.38/0.61 (define @t175 () (or @t136 @t174)) % 0.38/0.61 (define @t176 () (forall @t134 @t175)) % 0.38/0.61 (define @t177 () (@list @t125)) % 0.38/0.61 (define @t178 () (forall @t177 @t175)) % 0.38/0.61 (define @t179 () (forall @t177 @t174)) % 0.38/0.61 (define @t180 () (or @t136 @t179)) % 0.38/0.61 (define @t181 () (not @t156)) % 0.38/0.61 (define @t182 () (or @t136 @t181)) % 0.38/0.61 (define @t183 () (forall @t42 @t182)) % 0.38/0.61 (define @t184 () (not @t183)) % 0.38/0.61 (define @t185 () (lambda @t140 @t184)) % 0.38/0.61 (define @t186 () (forall @t42 (or @t130 @t162))) % 0.38/0.61 (define @t187 () (lambda @t37 @t186)) % 0.38/0.61 (define @t188 () (_ @t187 @t5)) % 0.38/0.61 (define @t189 () (not @t188)) % 0.38/0.61 (define @t190 () (lambda @t37 @t189)) % 0.38/0.61 (define @t191 () (not @t40)) % 0.38/0.61 (define @t192 () (or @t130 @t191)) % 0.38/0.61 (define @t193 () (lambda @t37 @t12)) % 0.38/0.61 (define @t194 () (_ @t193 @t39)) % 0.38/0.61 (define @t195 () (or @t130 @t194)) % 0.38/0.61 (define @t196 () (forall @t42 @t195)) % 0.38/0.61 (define @t197 () (lambda @t37 @t196)) % 0.38/0.61 (define @t198 () (or @t12 @t16)) % 0.38/0.61 (define @t199 () (lambda @t37 @t198)) % 0.38/0.61 (define @t200 () (@list @t15 @t5)) % 0.38/0.61 (define @t201 () (_ @t193 @t5)) % 0.38/0.61 (define @t202 () (or @t201 @t16)) % 0.38/0.61 (define @t203 () (lambda @t200 @t202)) % 0.38/0.61 (define @t204 () (tptp.rel_s5 @t116 @t115)) % 0.38/0.61 (define @t205 () (forall @t104 (or (not (tptp.rel_s5 @t115 @t101)) @t102))) % 0.38/0.61 (define @t206 () (not @t205)) % 0.38/0.61 (define @t207 () (not @t204)) % 0.38/0.61 (define @t208 () (@quantifiers_skolemize @t114 2)) % 0.38/0.61 (define @t209 () (tptp.p @t208)) % 0.38/0.61 (define @t210 () (not @t209)) % 0.38/0.61 (define @t211 () (@quantifiers_skolemize @t114 1)) % 0.38/0.61 (define @t212 () (tptp.rel_s5 @t211 @t208)) % 0.38/0.61 (define @t213 () (not @t212)) % 0.38/0.61 (define @t214 () (tptp.rel_s5 @t116 @t211)) % 0.38/0.61 (define @t215 () (not @t214)) % 0.38/0.61 (define @t216 () (or @t215 @t213 @t210 @t207 @t206)) % 0.38/0.61 (define @t217 () (@list true)) % 0.38/0.61 (define @t218 () (@list @t216)) % 0.38/0.61 (define @t219 () (tptp.rel_s5 @t115 @t116)) % 0.38/0.61 (define @t220 () (or @t207 @t219)) % 0.38/0.61 (define @t221 () (@list false false)) % 0.38/0.61 (define @t222 () (tptp.rel_s5 @t116 @t208)) % 0.38/0.61 (define @t223 () (or @t215 @t213 @t222)) % 0.38/0.61 (define @t224 () (tptp.rel_s5 @t115 @t208)) % 0.38/0.61 (define @t225 () (not @t224)) % 0.38/0.61 (define @t226 () (or @t225 @t210)) % 0.38/0.61 (define @t227 () (not @t222)) % 0.38/0.61 (define @t228 () (not @t219)) % 0.38/0.61 (define @t229 () (or @t228 @t227 @t224)) % 0.38/0.61 (define @t230 () (not @t229)) % 0.38/0.61 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.61 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.38/0.61 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.38/0.61 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.38/0.61 (assume @p5 @t2) % 0.38/0.61 (assume @p6 true) % 0.38/0.61 (step @p7 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.38/0.61 (step @p8 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.38/0.61 (step @p9 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.38/0.61 (step @p10 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.38/0.61 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.38/0.61 (step @p12 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.38/0.61 (step @p13 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.38/0.61 (step @p14 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.38/0.61 (step @p15 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.38/0.61 (step @p16 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.38/0.61 (step @p17 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.38/0.61 (step @p18 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.38/0.61 (step @p19 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.38/0.61 (step @p20 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.38/0.61 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.38/0.61 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.38/0.61 (step @p23 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.38/0.61 (step @p24 (= tptp.msymmetric @t56) :rule refl :args (@t56)) % 0.38/0.61 (step @p25 (= tptp.mserial @t58) :rule refl :args (@t58)) % 0.38/0.61 (step @p26 (= tptp.mtransitive @t65) :rule refl :args (@t65)) % 0.38/0.61 (step @p27 (= tptp.meuclidean @t67) :rule refl :args (@t67)) % 0.38/0.61 (step @p28 (= tptp.mpartially_functional @t69) :rule refl :args (@t69)) % 0.38/0.61 (step @p29 (= tptp.mfunctional @t71) :rule refl :args (@t71)) % 0.38/0.61 (step @p30 (= tptp.mweakly_dense @t74) :rule refl :args (@t74)) % 0.38/0.61 (step @p31 (= tptp.mweakly_connected @t75) :rule refl :args (@t75)) % 0.38/0.61 (step @p32 (= tptp.mweakly_directed @t76) :rule refl :args (@t76)) % 0.38/0.61 (step @p33 (= tptp.mvalid @t79) :rule refl :args (@t79)) % 0.38/0.61 (step @p34 (= tptp.minvalid @t80) :rule refl :args (@t80)) % 0.38/0.61 (step @p35 (= tptp.msatisfiable @t81) :rule refl :args (@t81)) % 0.38/0.61 (step @p36 (= tptp.mcountersatisfiable @t82) :rule refl :args (@t82)) % 0.38/0.61 (step @p37 (= tptp.mbox_s5 @t87) :rule refl :args (@t87)) % 0.38/0.61 (step @p38 (= tptp.mdia_s5 @t89) :rule refl :args (@t89)) % 0.38/0.61 (step @p39 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t63 (or @t95 (not @t93) @t92))) tptp.rel_s5) @t91))) % 0.38/0.61 (step @p40 :rule refl :args (tptp.rel_s5)) % 0.38/0.61 (step @p41 :rule refl :args (@t92)) % 0.38/0.61 (step @p42 :rule refl :args (@t60)) % 0.38/0.61 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t60 @t92))) % 0.38/0.61 (step @p44 :rule symm :premises (@p43)) % 0.38/0.61 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.38/0.61 (step @p46 :rule refl :args (@t93)) % 0.38/0.61 (step @p47 :rule refl :args (@t61)) % 0.38/0.61 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t61 @t93))) % 0.38/0.61 (step @p49 :rule symm :premises (@p48)) % 0.38/0.61 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.38/0.61 (step @p51 :rule cong :premises (@p50) :args (@t96)) % 0.38/0.61 (step @p52 :rule refl :args (@t94)) % 0.38/0.61 (step @p53 :rule refl :args (@t53)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t53 @t94))) % 0.38/0.61 (step @p55 :rule symm :premises (@p54)) % 0.38/0.61 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.38/0.61 (step @p57 :rule cong :premises (@p56) :args (@t97)) % 0.38/0.61 (step @p58 :rule nary_cong :premises (@p57 @p51 @p45) :args (@t98)) % 0.38/0.61 (step @p59 :rule cong :premises (@p58) :args ((forall @t63 @t98))) % 0.38/0.61 (step @p60 :rule aci_norm :args ((= (or (or @t97 @t96) @t60) @t98))) % 0.38/0.61 (step @p61 :rule bool-and-de-morgan :args (@t53 @t61 true)) % 0.38/0.61 (step @p62 :rule nary_cong :premises (@p61 @p42) :args ((or (not @t62) @t60))) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p60)) % 0.38/0.61 (step @p64 :rule bool-impl-elim :args (@t62 @t60)) % 0.38/0.61 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.61 (step @p66 :rule cong :premises (@p65) :args (@t64)) % 0.38/0.61 (step @p67 :rule trans :premises (@p66 @p59)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args (@t65)) % 0.38/0.61 (step @p69 :rule trans :premises (@p26 @p68)) % 0.38/0.61 (step @p70 :rule ho_cong :premises (@p69 @p40)) % 0.38/0.61 (step @p71 :rule trans :premises (@p70 @p39)) % 0.38/0.61 (step @p72 :rule eq_resolve :premises (@p3 @p71)) % 0.38/0.61 (step @p73 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t54 (or @t95 @t99))) tptp.rel_s5) (forall @t54 (or @t90 (tptp.rel_s5 @t50 @t45)))))) % 0.38/0.61 (step @p74 :rule refl :args (@t99)) % 0.38/0.61 (step @p75 :rule refl :args (@t52)) % 0.38/0.61 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t52 @t99))) % 0.38/0.61 (step @p77 :rule symm :premises (@p76)) % 0.38/0.61 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.38/0.61 (step @p79 :rule nary_cong :premises (@p57 @p78) :args (@t100)) % 0.38/0.61 (step @p80 :rule cong :premises (@p79) :args ((forall @t54 @t100))) % 0.38/0.61 (step @p81 :rule bool-impl-elim :args (@t53 @t52)) % 0.38/0.61 (step @p82 :rule cong :premises (@p81) :args (@t55)) % 0.38/0.61 (step @p83 :rule trans :premises (@p82 @p80)) % 0.38/0.61 (step @p84 :rule cong :premises (@p83) :args (@t56)) % 0.38/0.61 (step @p85 :rule trans :premises (@p24 @p84)) % 0.38/0.61 (step @p86 :rule ho_cong :premises (@p85 @p40)) % 0.38/0.61 (step @p87 :rule trans :premises (@p86 @p73)) % 0.38/0.61 (step @p88 :rule eq_resolve :premises (@p4 @p87)) % 0.38/0.61 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t116 @t115))) % 0.38/0.61 (step @p90 :rule aci_norm :args ((= @t119 @t112))) % 0.38/0.61 (step @p91 :rule cong :premises (@p90) :args (@t120)) % 0.38/0.61 (step @p92 :rule quant-merge-prenex :args ((= (forall @t37 @t121) @t120))) % 0.38/0.61 (step @p93 :rule alpha_equiv :args (@t122 (@list @t103) @t123)) % 0.38/0.61 (step @p94 :rule alpha_equiv :args (@t124 (@list @t109 @t107) (@list @t39 @t125))) % 0.38/0.61 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t126)) % 0.38/0.61 (step @p96 :rule quant-miniscope-or :args ((= @t121 @t126))) % 0.38/0.61 (step @p97 :rule trans :premises (@p96 @p95)) % 0.38/0.61 (step @p98 :rule symm :premises (@p97)) % 0.38/0.61 (step @p99 :rule cong :premises (@p98) :args ((forall @t37 @t135))) % 0.38/0.61 (step @p100 :rule trans :premises (@p99 @p92)) % 0.38/0.61 (step @p101 :rule trans :premises (@p100 @p91)) % 0.38/0.61 (step @p102 :rule beta-reduce :args ((= @t142 @t135))) % 0.38/0.61 (step @p103 :rule cong :premises (@p102) :args (@t143)) % 0.38/0.61 (step @p104 :rule trans :premises (@p103 @p101)) % 0.38/0.61 (step @p105 :rule beta-reduce :args ((= (_ @t145 @t141) @t143))) % 0.38/0.61 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.61 (step @p107 :rule beta-reduce :args ((= @t147 @t137))) % 0.38/0.61 (step @p108 :rule refl :args (@t139)) % 0.38/0.61 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t148)) % 0.38/0.62 (step @p110 :rule cong :premises (@p109) :args (@t149)) % 0.38/0.62 (step @p111 :rule beta-reduce :args ((= (_ (lambda @t151 (or @t139 @t150)) @t146) @t149))) % 0.38/0.62 (step @p112 :rule trans :premises (@p111 @p110)) % 0.38/0.62 (step @p113 :rule beta-reduce :args ((= (_ (lambda @t140 (not (forall @t104 (or (not (tptp.rel_s5 @t18 @t101)) @t102)))) @t39) @t128))) % 0.38/0.62 (step @p114 :rule refl :args (@t39)) % 0.38/0.62 (step @p115 :rule alpha_equiv :args (@t152 @t123 @t153)) % 0.38/0.62 (step @p116 :rule cong :premises (@p115) :args (@t154)) % 0.38/0.62 (step @p117 :rule cong :premises (@p116) :args (@t155)) % 0.38/0.62 (step @p118 :rule ho_cong :premises (@p117 @p114)) % 0.38/0.62 (step @p119 :rule trans :premises (@p118 @p113)) % 0.38/0.62 (step @p120 :rule refl :args (@t130)) % 0.38/0.62 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t157)) % 0.38/0.62 (step @p122 :rule cong :premises (@p121) :args (@t158)) % 0.38/0.62 (step @p123 :rule cong :premises (@p122) :args (@t159)) % 0.38/0.62 (step @p124 :rule beta-reduce :args ((= (_ @t161 @t155) @t159))) % 0.38/0.62 (step @p125 :rule trans :premises (@p124 @p123)) % 0.38/0.62 (step @p126 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:rule cong :premises (@p232) :args (@t203)) % 0.38/0.62 (step @p234 :rule beta-reduce :args ((= (_ @t17 @t193) @t203))) % 0.38/0.62 (step @p235 :rule trans :premises (@p234 @p233)) % 0.38/0.62 (step @p236 :rule refl :args (@t17)) % 0.38/0.62 (step @p237 :rule ho_cong :premises (@p236 @p198)) % 0.38/0.62 (step @p238 :rule trans :premises (@p237 @p235)) % 0.38/0.62 (step @p239 :rule ho_cong :premises (@p238 @p229)) % 0.38/0.62 (step @p240 :rule trans :premises (@p239 @p228)) % 0.38/0.62 (step @p241 :rule ho_cong :premises (@p240 @p176)) % 0.38/0.62 (step @p242 :rule trans :premises (@p241 @p227)) % 0.38/0.62 (step @p243 :rule ho_cong :premises (@p10 @p207)) % 0.38/0.62 (step @p244 :rule ho_cong :premises (@p243 @p229)) % 0.38/0.62 (step @p245 :rule ho_cong :premises (@p244 @p176)) % 0.38/0.62 (step @p246 :rule trans :premises (@p245 @p242)) % 0.38/0.62 (step @p247 :rule cong :premises (@p246) :args (@t24)) % 0.38/0.62 (step @p248 :rule trans :premises (@p12 @p247)) % 0.38/0.62 (step 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@p265 :rule refl :args (@t216)) % 0.38/0.62 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t216 (not @t207)))) % 0.38/0.62 (step @p267 :rule cnf_or_neg :args (@t216 3)) % 0.38/0.62 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 0.38/0.62 (step @p269 :rule reordering :premises (@p268) :args ((or @t204 @t216))) % 0.38/0.62 (step @p270 :rule chain_m_resolution :premises (@p269 @p263) :args (@t204 @t217 @t218)) % 0.38/0.62 (step @p271 :rule cnf_or_pos :args (@t220)) % 0.38/0.62 (step @p272 :rule reordering :premises (@p271) :args ((or @t207 @t219 (not @t220)))) % 0.38/0.62 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p89) :args (@t219 @t221 (@list @t204 @t220))) % 0.38/0.62 (step @p274 :rule instantiate :premises (@p72) :args ((@list @t116 @t211 @t208))) % 0.38/0.62 (step @p275 :rule bool-double-not-elim :args (@t212)) % 0.38/0.62 (step @p276 :rule nary_cong :premises (@p265 @p275) :args ((or @t216 (not @t213)))) % 0.38/0.62 (step @p277 :rule cnf_or_neg :args (@t216 1)) % 0.38/0.62 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 0.38/0.62 (step @p279 :rule reordering :premises (@p278) :args ((or @t212 @t216))) % 0.38/0.62 (step @p280 :rule chain_m_resolution :premises (@p279 @p263) :args (@t212 @t217 @t218)) % 0.38/0.62 (step @p281 :rule bool-double-not-elim :args (@t214)) % 0.38/0.62 (step @p282 :rule nary_cong :premises (@p265 @p281) :args ((or @t216 (not @t215)))) % 0.38/0.62 (step @p283 :rule cnf_or_neg :args (@t216 0)) % 0.38/0.62 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.38/0.62 (step @p285 :rule reordering :premises (@p284) :args ((or @t214 @t216))) % 0.38/0.62 (step @p286 :rule chain_m_resolution :premises (@p285 @p263) :args (@t214 @t217 @t218)) % 0.38/0.62 (step @p287 :rule cnf_or_pos :args (@t223)) % 0.38/0.62 (step @p288 :rule reordering :premises (@p287) :args ((or @t215 @t213 @t222 (not @t223)))) % 0.38/0.62 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p280 @p274) :args (@t222 (@list false false false) (@list @t214 @t212 @t223))) % 0.38/0.62 (step @p290 :rule bool-double-not-elim :args (@t205)) % 0.38/0.62 (step @p291 :rule nary_cong :premises (@p265 @p290) :args ((or @t216 (not @t206)))) % 0.38/0.62 (step @p292 :rule cnf_or_neg :args (@t216 4)) % 0.38/0.62 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 0.38/0.62 (step @p294 :rule reordering :premises (@p293) :args ((or @t205 @t216))) % 0.38/0.62 (step @p295 :rule chain_m_resolution :premises (@p294 @p263) :args (@t205 @t217 @t218)) % 0.38/0.62 (step @p296 :rule instantiate :premises (@p295) :args ((@list @t208))) % 0.38/0.62 (step @p297 :rule bool-double-not-elim :args (@t209)) % 0.38/0.62 (step @p298 :rule nary_cong :premises (@p265 @p297) :args ((or @t216 (not @t210)))) % 0.38/0.62 (step @p299 :rule cnf_or_neg :args (@t216 2)) % 0.38/0.62 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 0.38/0.62 (step @p301 :rule reordering :premises (@p300) :args ((or @t209 @t216))) % 0.38/0.62 (step @p302 :rule chain_m_resolution :premises (@p301 @p263) :args (@t209 @t217 @t218)) % 0.38/0.62 (step @p303 :rule cnf_or_pos :args (@t226)) % 0.38/0.62 (step @p304 :rule reordering :premises (@p303) :args ((or @t210 @t225 (not @t226)))) % 0.38/0.62 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p296) :args (@t225 @t221 (@list @t209 @t226))) % 0.38/0.62 (step @p306 :rule cnf_or_pos :args (@t229)) % 0.38/0.62 (step @p307 :rule reordering :premises (@p306) :args ((or @t224 @t227 @t228 @t230))) % 0.38/0.62 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p289 @p273) :args (@t230 (@list true false false) (@list @t224 @t222 @t219))) % 0.38/0.62 (assume-push @p315 @t91) % 0.38/0.62 (step @p310 :rule instantiate :premises (@p72) :args ((@list @t115 @t116 @t208))) % 0.38/0.62 (step-pop @p316 :rule scope :premises (@p310)) % 0.38/0.62 (step @p311 :rule process_scope :premises (@p316) :args (@t229)) % 0.38/0.62 (step @p313 :rule implies_elim :premises (@p311)) % 0.38/0.62 (step @p314 false :rule chain_m_resolution :premises (@p313 @p308 @p72) :args (false (@list true false) (@list @t229 @t91))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------