%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO438^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:12:39 AM UTC 2026 % Result : Theorem 0.15s 0.40s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SYO438^1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 00:07:33 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.34 %----Proving TH0 % 0.15/0.40 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.40 % SZS status Theorem % 0.15/0.40 % SZS output start Proof % 0.15/0.40 ( % 0.15/0.40 (declare-sort $$unsorted 0) % 0.15/0.40 (declare-sort tptp.mu 0) % 0.15/0.40 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.p (-> $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.15/0.40 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.15/0.40 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.15/0.40 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.15/0.40 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.15/0.40 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.15/0.40 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.15/0.40 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.15/0.40 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.15/0.40 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.15/0.40 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.15/0.40 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.15/0.40 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.15/0.40 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.15/0.40 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.15/0.40 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.15/0.40 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.15/0.40 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.15/0.40 (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)))))))) % 0.15/0.40 (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)))))))) % 0.15/0.40 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.15/0.40 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.15/0.40 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.15/0.40 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.15/0.40 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.15/0.40 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.15/0.40 (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))))))))))))) % 0.15/0.40 (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)))))) % 0.15/0.40 (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))))))) % 0.15/0.40 (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)))))) % 0.15/0.40 (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))))))) % 0.15/0.40 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.15/0.40 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.15/0.40 (define @t1 () (_ tptp.mbox_s4 (_ tptp.mdia_s4 tptp.p))) % 0.15/0.40 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ tptp.mdia_s4 @t1))) @t1)))) % 0.15/0.40 (define @t3 () (@var "Y" tptp.mu)) % 0.15/0.40 (define @t4 () (@var "X" tptp.mu)) % 0.15/0.40 (define @t5 () (@var "W" $$unsorted)) % 0.15/0.40 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.15/0.40 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.15/0.40 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.15/0.40 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.15/0.40 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.15/0.40 (define @t11 () (_ @t10 @t5)) % 0.15/0.40 (define @t12 () (not @t11)) % 0.15/0.40 (define @t13 () (@list @t10 @t5)) % 0.15/0.40 (define @t14 () (lambda @t13 @t12)) % 0.15/0.40 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.15/0.40 (define @t16 () (_ @t15 @t5)) % 0.15/0.40 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.15/0.40 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.15/0.40 (define @t19 () (_ tptp.mnot @t15)) % 0.15/0.40 (define @t20 () (_ tptp.mnot @t10)) % 0.15/0.40 (define @t21 () (_ tptp.mor @t20)) % 0.15/0.40 (define @t22 () (@list @t10 @t15 @t18)) % 0.15/0.40 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.15/0.40 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.15/0.40 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.15/0.40 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.15/0.40 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.15/0.40 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.15/0.40 (define @t29 () (_ @t28 @t4)) % 0.15/0.40 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.15/0.40 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.15/0.40 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.15/0.40 (define @t33 () (_ @t32 @t31)) % 0.15/0.40 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.15/0.40 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.15/0.40 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.15/0.40 (define @t37 () (@list @t5)) % 0.15/0.40 (define @t38 () (lambda @t37 true)) % 0.15/0.40 (define @t39 () (@var "V" $$unsorted)) % 0.15/0.40 (define @t40 () (_ @t10 @t39)) % 0.15/0.40 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.15/0.40 (define @t42 () (@list @t39)) % 0.15/0.40 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.15/0.40 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.15/0.40 (define @t45 () (@var "S" $$unsorted)) % 0.15/0.40 (define @t46 () (_ @t41 @t45)) % 0.15/0.40 (define @t47 () (@list @t45)) % 0.15/0.40 (define @t48 () (@list @t41)) % 0.15/0.40 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.15/0.40 (define @t50 () (@var "T" $$unsorted)) % 0.15/0.40 (define @t51 () (_ @t41 @t50)) % 0.15/0.40 (define @t52 () (_ @t46 @t50)) % 0.15/0.40 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.15/0.40 (define @t54 () (@list @t50)) % 0.15/0.40 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.15/0.40 (define @t56 () (@var "U" $$unsorted)) % 0.15/0.40 (define @t57 () (_ @t46 @t56)) % 0.15/0.40 (define @t58 () (_ @t51 @t56)) % 0.15/0.40 (define @t59 () (and @t52 @t58)) % 0.15/0.40 (define @t60 () (@list @t45 @t50 @t56)) % 0.15/0.40 (define @t61 () (forall @t60 (=> @t59 @t57))) % 0.15/0.40 (define @t62 () (lambda @t48 @t61)) % 0.15/0.40 (define @t63 () (and @t52 @t57)) % 0.15/0.40 (define @t64 () (lambda @t48 (forall @t60 (=> @t63 @t58)))) % 0.15/0.40 (define @t65 () (= @t50 @t56)) % 0.15/0.40 (define @t66 () (lambda @t48 (forall @t60 (=> @t63 @t65)))) % 0.15/0.40 (define @t67 () (@list @t56)) % 0.15/0.40 (define @t68 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t67 (=> @t57 @t65))))))) % 0.15/0.40 (define @t69 () (_ @t41 @t56)) % 0.15/0.40 (define @t70 () (_ @t69 @t50)) % 0.15/0.40 (define @t71 () (lambda @t48 (forall @t60 (=> @t52 (exists @t67 (and @t57 @t70)))))) % 0.15/0.40 (define @t72 () (lambda @t48 (forall @t60 (=> @t63 (or @t58 @t65 @t70))))) % 0.15/0.40 (define @t73 () (lambda @t48 (forall @t60 (=> @t63 (exists @t42 (and (_ @t51 @t39) (_ @t69 @t39))))))) % 0.15/0.40 (define @t74 () (forall @t37 @t11)) % 0.15/0.40 (define @t75 () (@list @t10)) % 0.15/0.40 (define @t76 () (lambda @t75 @t74)) % 0.15/0.40 (define @t77 () (lambda @t75 (forall @t37 @t12))) % 0.15/0.40 (define @t78 () (lambda @t75 (exists @t37 @t11))) % 0.15/0.40 (define @t79 () (lambda @t75 (exists @t37 @t12))) % 0.15/0.40 (define @t80 () (_ (_ tptp.rel_s4 @t5) @t39)) % 0.15/0.40 (define @t81 () (not @t80)) % 0.15/0.40 (define @t82 () (or @t81 @t40)) % 0.15/0.40 (define @t83 () (forall @t42 @t82)) % 0.15/0.40 (define @t84 () (lambda @t13 @t83)) % 0.15/0.40 (define @t85 () (@list @t10 @t18)) % 0.15/0.40 (define @t86 () (lambda @t85 (_ (_ tptp.mnot (_ tptp.mbox_s4 @t20)) @t18))) % 0.15/0.40 (define @t87 () (forall @t60 (or (not (tptp.rel_s4 @t45 @t50)) (not (tptp.rel_s4 @t50 @t56)) (tptp.rel_s4 @t45 @t56)))) % 0.15/0.40 (define @t88 () (_ @t41 @t45 @t56)) % 0.15/0.40 (define @t89 () (_ @t41 @t50 @t56)) % 0.15/0.40 (define @t90 () (_ @t41 @t45 @t50)) % 0.15/0.40 (define @t91 () (not @t58)) % 0.15/0.40 (define @t92 () (not @t52)) % 0.15/0.40 (define @t93 () (or @t92 @t91 @t57)) % 0.15/0.40 (define @t94 () (@var "BOUND_VARIABLE_8426" $$unsorted)) % 0.15/0.40 (define @t95 () (not (tptp.p @t94))) % 0.15/0.40 (define @t96 () (@var "BOUND_VARIABLE_8453" $$unsorted)) % 0.15/0.40 (define @t97 () (@list @t94)) % 0.15/0.40 (define @t98 () (not (forall @t97 (or (not (tptp.rel_s4 @t96 @t94)) @t95)))) % 0.15/0.40 (define @t99 () (@var "BOUND_VARIABLE_8481" $$unsorted)) % 0.15/0.40 (define @t100 () (@list @t96)) % 0.15/0.40 (define @t101 () (not (forall @t100 (or (not (tptp.rel_s4 @t99 @t96)) @t98)))) % 0.15/0.40 (define @t102 () (@var "BOUND_VARIABLE_8529" $$unsorted)) % 0.15/0.40 (define @t103 () (not (forall @t97 (or (not (tptp.rel_s4 @t102 @t94)) @t95)))) % 0.15/0.40 (define @t104 () (not (tptp.rel_s4 @t5 @t102))) % 0.15/0.40 (define @t105 () (@list @t99)) % 0.15/0.40 (define @t106 () (not (forall @t105 (or (not (tptp.rel_s4 @t39 @t99)) @t101)))) % 0.15/0.40 (define @t107 () (tptp.rel_s4 @t5 @t39)) % 0.15/0.40 (define @t108 () (not @t107)) % 0.15/0.40 (define @t109 () (forall @t42 (or @t108 @t106))) % 0.15/0.40 (define @t110 () (not @t109)) % 0.15/0.40 (define @t111 () (or @t110 @t104 @t103)) % 0.15/0.40 (define @t112 () (@list @t5 @t102)) % 0.15/0.40 (define @t113 () (forall @t112 @t111)) % 0.15/0.40 (define @t114 () (@quantifiers_skolemize @t113 1)) % 0.15/0.40 (define @t115 () (forall @t105 (or (not (tptp.rel_s4 @t114 @t99)) @t101))) % 0.15/0.40 (define @t116 () (@quantifiers_skolemize @t115 0)) % 0.15/0.40 (define @t117 () (forall @t105 (or (not (tptp.rel_s4 @t116 @t99)) @t101))) % 0.15/0.40 (define @t118 () (@quantifiers_skolemize @t117 0)) % 0.15/0.40 (define @t119 () (forall @t97 (or (not (tptp.rel_s4 @t118 @t94)) @t95))) % 0.15/0.40 (define @t120 () (@quantifiers_skolemize @t119 0)) % 0.15/0.40 (define @t121 () (or @t104 @t103)) % 0.15/0.40 (define @t122 () (or @t110 @t121)) % 0.15/0.40 (define @t123 () (forall @t112 @t122)) % 0.15/0.40 (define @t124 () (@list @t102)) % 0.15/0.40 (define @t125 () (forall @t124 @t122)) % 0.15/0.40 (define @t126 () (forall @t124 @t121)) % 0.15/0.40 (define @t127 () (@list @t39)) % 0.15/0.40 (define @t128 () (or @t110 @t126)) % 0.15/0.40 (define @t129 () (not (forall @t97 (or (not (tptp.rel_s4 @t39 @t94)) @t95)))) % 0.15/0.40 (define @t130 () (forall @t42 (or @t108 @t129))) % 0.15/0.40 (define @t131 () (or @t110 @t130)) % 0.15/0.40 (define @t132 () (not (tptp.rel_s4 @t18 @t39))) % 0.15/0.40 (define @t133 () (forall @t42 (or @t132 @t129))) % 0.15/0.40 (define @t134 () (forall @t42 (or @t132 @t106))) % 0.15/0.40 (define @t135 () (not @t134)) % 0.15/0.40 (define @t136 () (@list @t18)) % 0.15/0.40 (define @t137 () (lambda @t136 (or @t135 @t133))) % 0.15/0.40 (define @t138 () (_ @t137 @t5)) % 0.15/0.40 (define @t139 () (forall @t37 @t138)) % 0.15/0.40 (define @t140 () (_ @t10 @t5)) % 0.15/0.40 (define @t141 () (lambda @t75 (forall @t37 @t140))) % 0.15/0.40 (define @t142 () (lambda @t37 @t130)) % 0.15/0.40 (define @t143 () (_ @t142 @t18)) % 0.15/0.40 (define @t144 () (or @t135 @t143)) % 0.15/0.40 (define @t145 () (lambda @t136 @t144)) % 0.15/0.40 (define @t146 () (_ @t15 @t18)) % 0.15/0.40 (define @t147 () (@list @t15 @t18)) % 0.15/0.40 (define @t148 () (forall @t42 (or @t132 (not (tptp.p @t39))))) % 0.15/0.40 (define @t149 () (not @t148)) % 0.15/0.40 (define @t150 () (lambda @t136 @t149)) % 0.15/0.40 (define @t151 () (or @t108 (_ @t150 @t39))) % 0.15/0.40 (define @t152 () (forall @t42 @t151)) % 0.15/0.40 (define @t153 () (lambda @t37 @t152)) % 0.15/0.40 (define @t154 () (_ @t10 @t39)) % 0.15/0.40 (define @t155 () (lambda @t13 (forall @t42 (or @t108 @t154)))) % 0.15/0.40 (define @t156 () (not @t154)) % 0.15/0.40 (define @t157 () (not (forall @t42 (or @t132 @t156)))) % 0.15/0.40 (define @t158 () (lambda @t85 @t157)) % 0.15/0.40 (define @t159 () (_ @t158 tptp.p)) % 0.15/0.40 (define @t160 () (lambda @t37 @t109)) % 0.15/0.40 (define @t161 () (_ @t160 @t18)) % 0.15/0.40 (define @t162 () (not @t161)) % 0.15/0.40 (define @t163 () (or @t162 @t146)) % 0.15/0.40 (define @t164 () (lambda @t147 @t163)) % 0.15/0.40 (define @t165 () (or (not (_ @t10 @t18)) @t146)) % 0.15/0.40 (define @t166 () (lambda @t22 @t165)) % 0.15/0.40 (define @t167 () (forall @t100 (or (not (tptp.rel_s4 @t39 @t96)) @t98))) % 0.15/0.40 (define @t168 () (forall @t42 (or @t132 (not @t167)))) % 0.15/0.40 (define @t169 () (not @t168)) % 0.15/0.40 (define @t170 () (lambda @t136 @t169)) % 0.15/0.40 (define @t171 () (or @t108 (_ @t170 @t39))) % 0.15/0.40 (define @t172 () (forall @t42 @t171)) % 0.15/0.40 (define @t173 () (lambda @t37 @t172)) % 0.15/0.40 (define @t174 () (not (_ @t142 @t39))) % 0.15/0.40 (define @t175 () (or @t132 @t174)) % 0.15/0.40 (define @t176 () (forall @t42 @t175)) % 0.15/0.40 (define @t177 () (not @t176)) % 0.15/0.40 (define @t178 () (lambda @t136 @t177)) % 0.15/0.40 (define @t179 () (_ @t155 @t159)) % 0.15/0.40 (define @t180 () (forall @t42 (or @t108 @t156))) % 0.15/0.40 (define @t181 () (lambda @t37 @t180)) % 0.15/0.40 (define @t182 () (_ @t181 @t5)) % 0.15/0.40 (define @t183 () (not @t182)) % 0.15/0.40 (define @t184 () (lambda @t37 @t183)) % 0.15/0.40 (define @t185 () (not @t40)) % 0.15/0.40 (define @t186 () (or @t108 @t185)) % 0.15/0.40 (define @t187 () (lambda @t37 @t12)) % 0.15/0.40 (define @t188 () (_ @t187 @t39)) % 0.15/0.40 (define @t189 () (or @t108 @t188)) % 0.15/0.40 (define @t190 () (forall @t42 @t189)) % 0.15/0.40 (define @t191 () (lambda @t37 @t190)) % 0.15/0.40 (define @t192 () (or @t12 @t16)) % 0.15/0.40 (define @t193 () (lambda @t37 @t192)) % 0.15/0.40 (define @t194 () (@list @t15 @t5)) % 0.15/0.40 (define @t195 () (_ @t187 @t5)) % 0.15/0.40 (define @t196 () (or @t195 @t16)) % 0.15/0.40 (define @t197 () (lambda @t194 @t196)) % 0.15/0.40 (define @t198 () (forall @t97 (or (not (tptp.rel_s4 @t114 @t94)) @t95))) % 0.15/0.40 (define @t199 () (not @t198)) % 0.15/0.40 (define @t200 () (@quantifiers_skolemize @t113 0)) % 0.15/0.40 (define @t201 () (tptp.rel_s4 @t200 @t114)) % 0.15/0.40 (define @t202 () (not @t201)) % 0.15/0.40 (define @t203 () (forall @t42 (or (not (tptp.rel_s4 @t200 @t39)) @t106))) % 0.15/0.40 (define @t204 () (not @t203)) % 0.15/0.40 (define @t205 () (or @t204 @t202 @t199)) % 0.15/0.40 (define @t206 () (@list true)) % 0.15/0.40 (define @t207 () (@list @t205)) % 0.15/0.40 (define @t208 () (not @t115)) % 0.15/0.40 (define @t209 () (or @t202 @t208)) % 0.15/0.40 (define @t210 () (@list false false)) % 0.15/0.40 (define @t211 () (forall @t100 (or (not (tptp.rel_s4 @t116 @t96)) @t98))) % 0.15/0.40 (define @t212 () (not @t211)) % 0.15/0.40 (define @t213 () (tptp.rel_s4 @t114 @t116)) % 0.15/0.40 (define @t214 () (not @t213)) % 0.15/0.40 (define @t215 () (or @t214 @t212)) % 0.15/0.40 (define @t216 () (@list @t215)) % 0.15/0.40 (define @t217 () (tptp.rel_s4 @t200 @t116)) % 0.15/0.40 (define @t218 () (or @t202 @t214 @t217)) % 0.15/0.40 (define @t219 () (not @t117)) % 0.15/0.40 (define @t220 () (not @t217)) % 0.15/0.40 (define @t221 () (or @t220 @t219)) % 0.15/0.40 (define @t222 () (tptp.rel_s4 @t116 @t118)) % 0.15/0.40 (define @t223 () (not @t222)) % 0.15/0.40 (define @t224 () (or @t223 (not (forall @t100 (or (not (tptp.rel_s4 @t118 @t96)) @t98))))) % 0.15/0.40 (define @t225 () (not @t119)) % 0.15/0.40 (define @t226 () (or @t223 @t225)) % 0.15/0.40 (define @t227 () (tptp.p @t120)) % 0.15/0.40 (define @t228 () (not @t227)) % 0.15/0.40 (define @t229 () (tptp.rel_s4 @t118 @t120)) % 0.15/0.40 (define @t230 () (not @t229)) % 0.15/0.40 (define @t231 () (or @t230 @t228)) % 0.15/0.40 (define @t232 () (@list @t231)) % 0.15/0.40 (define @t233 () (tptp.rel_s4 @t114 @t120)) % 0.15/0.40 (define @t234 () (not @t233)) % 0.15/0.40 (define @t235 () (or @t234 @t228)) % 0.15/0.40 (define @t236 () (tptp.rel_s4 @t116 @t120)) % 0.15/0.40 (define @t237 () (not @t236)) % 0.15/0.40 (define @t238 () (or @t214 @t237 @t233)) % 0.15/0.40 (define @t239 () (or @t223 @t230 @t236)) % 0.15/0.40 (define @t240 () (not @t239)) % 0.15/0.40 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.15/0.40 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.15/0.40 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.15/0.40 (assume @p4 @t2) % 0.15/0.40 (assume @p5 true) % 0.15/0.40 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.15/0.40 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.15/0.40 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.15/0.40 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.15/0.40 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.15/0.40 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.15/0.40 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.15/0.40 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.15/0.40 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.15/0.40 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.15/0.40 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.15/0.40 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.15/0.40 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.15/0.40 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.15/0.40 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.15/0.40 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.15/0.40 (step @p22 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.15/0.40 (step @p23 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.15/0.40 (step @p24 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.15/0.40 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.15/0.40 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.15/0.40 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.15/0.40 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.15/0.40 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.15/0.40 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.15/0.40 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.15/0.40 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.15/0.40 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.15/0.40 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.15/0.40 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.15/0.40 (step @p36 (= tptp.mbox_s4 @t84) :rule refl :args (@t84)) % 0.15/0.40 (step @p37 (= tptp.mdia_s4 @t86) :rule refl :args (@t86)) % 0.15/0.40 (step @p38 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t60 (or (not @t90) (not @t89) @t88))) tptp.rel_s4) @t87))) % 0.15/0.40 (step @p39 :rule refl :args (tptp.rel_s4)) % 0.15/0.40 (step @p40 :rule refl :args (@t88)) % 0.15/0.40 (step @p41 :rule refl :args (@t57)) % 0.15/0.40 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t57 @t88))) % 0.15/0.40 (step @p43 :rule symm :premises (@p42)) % 0.15/0.40 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.15/0.40 (step @p45 :rule refl :args (@t89)) % 0.15/0.40 (step @p46 :rule refl :args (@t58)) % 0.15/0.40 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t58 @t89))) % 0.15/0.40 (step @p48 :rule symm :premises (@p47)) % 0.15/0.40 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.15/0.40 (step @p50 :rule cong :premises (@p49) :args (@t91)) % 0.15/0.40 (step @p51 :rule refl :args (@t90)) % 0.15/0.40 (step @p52 :rule refl :args (@t52)) % 0.15/0.40 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t52 @t90))) % 0.15/0.40 (step @p54 :rule symm :premises (@p53)) % 0.15/0.40 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.15/0.40 (step @p56 :rule cong :premises (@p55) :args (@t92)) % 0.15/0.40 (step @p57 :rule nary_cong :premises (@p56 @p50 @p44) :args (@t93)) % 0.15/0.40 (step @p58 :rule cong :premises (@p57) :args ((forall @t60 @t93))) % 0.15/0.40 (step @p59 :rule aci_norm :args ((= (or (or @t92 @t91) @t57) @t93))) % 0.15/0.40 (step @p60 :rule bool-and-de-morgan :args (@t52 @t58 true)) % 0.15/0.40 (step @p61 :rule nary_cong :premises (@p60 @p41) :args ((or (not @t59) @t57))) % 0.15/0.40 (step @p62 :rule trans :premises (@p61 @p59)) % 0.15/0.40 (step @p63 :rule bool-impl-elim :args (@t59 @t57)) % 0.15/0.40 (step @p64 :rule trans :premises (@p63 @p62)) % 0.15/0.40 (step @p65 :rule cong :premises (@p64) :args (@t61)) % 0.15/0.40 (step @p66 :rule trans :premises (@p65 @p58)) % 0.15/0.40 (step @p67 :rule cong :premises (@p66) :args (@t62)) % 0.15/0.40 (step @p68 :rule trans :premises (@p25 @p67)) % 0.15/0.40 (step @p69 :rule ho_cong :premises (@p68 @p39)) % 0.15/0.40 (step @p70 :rule trans :premises (@p69 @p38)) % 0.15/0.40 (step @p71 :rule eq_resolve :premises (@p3 @p70)) % 0.15/0.40 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t114 @t116 @t120))) % 0.15/0.40 (step @p73 :rule aci_norm :args ((= @t122 @t111))) % 0.15/0.40 (step @p74 :rule cong :premises (@p73) :args (@t123)) % 0.15/0.40 (step @p75 :rule quant-merge-prenex :args ((= (forall @t37 @t125) @t123))) % 0.15/0.40 (step @p76 :rule alpha_equiv :args (@t126 (@list @t102) @t127)) % 0.15/0.40 (step @p77 :rule refl :args (@t110)) % 0.15/0.40 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t128)) % 0.15/0.40 (step @p79 :rule quant-miniscope-or :args ((= @t125 @t128))) % 0.15/0.40 (step @p80 :rule trans :premises (@p79 @p78)) % 0.15/0.40 (step @p81 :rule symm :premises (@p80)) % 0.15/0.40 (step @p82 :rule cong :premises (@p81) :args ((forall @t37 @t131))) % 0.15/0.40 (step @p83 :rule trans :premises (@p82 @p75)) % 0.15/0.40 (step @p84 :rule trans :premises (@p83 @p74)) % 0.15/0.40 (step @p85 :rule beta-reduce :args ((= @t138 @t131))) % 0.15/0.40 (step @p86 :rule cong :premises (@p85) :args (@t139)) % 0.15/0.40 (step @p87 :rule trans :premises (@p86 @p84)) % 0.15/0.40 (step @p88 :rule beta-reduce :args ((= (_ @t141 @t137) @t139))) % 0.15/0.40 (step @p89 :rule trans :premises (@p88 @p87)) % 0.15/0.40 (step @p90 :rule beta-reduce :args ((= @t143 @t133))) % 0.15/0.40 (step @p91 :rule refl :args (@t135)) % 0.15/0.40 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t144)) % 0.15/0.40 (step @p93 :rule cong :premises (@p92) :args (@t145)) % 0.15/0.40 (step @p94 :rule beta-reduce :args ((= (_ (lambda @t147 (or @t135 @t146)) @t142) @t145))) % 0.15/0.40 (step @p95 :rule trans :premises (@p94 @p93)) % 0.15/0.40 (step @p96 :rule beta-reduce :args ((= (_ (lambda @t136 (not (forall @t97 (or (not (tptp.rel_s4 @t18 @t94)) @t95)))) @t39) @t129))) % 0.15/0.40 (step @p97 :rule refl :args (@t39)) % 0.15/0.40 (step @p98 :rule alpha_equiv :args (@t148 @t127 (@list @t94))) % 0.15/0.40 (step @p99 :rule cong :premises (@p98) :args (@t149)) % 0.15/0.40 (step @p100 :rule cong :premises (@p99) :args (@t150)) % 0.15/0.40 (step @p101 :rule ho_cong :premises (@p100 @p97)) % 0.15/0.40 (step @p102 :rule trans :premises (@p101 @p96)) % 0.15/0.40 (step @p103 :rule refl :args (@t108)) % 0.15/0.40 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t151)) % 0.15/0.40 (step @p105 :rule cong :premises (@p104) :args (@t152)) % 0.15/0.40 (step @p106 :rule cong :premises (@p105) :args (@t153)) % 0.15/0.40 (step @p107 :rule beta-reduce :args ((= (_ @t155 @t150) @t153))) % 0.15/0.40 (step @p108 :rule trans :premises (@p107 @p106)) % 0.15/0.40 (step @p109 :rule beta-reduce :args ((= @t159 @t150))) % 0.15/0.40 (step @p110 :rule refl :args (@t155)) % 0.15/0.40 (step @p111 :rule ho_cong :premises (@p110 @p109)) % 0.15/0.40 (step @p112 :rule trans :premises (@p111 @p108)) % 0.15/0.40 (step @p113 :rule refl :args (@t146)) % 0.15/0.40 (step @p114 :rule beta-reduce :args ((= @t161 @t134))) % 0.15/0.40 (step @p115 :rule cong :premises (@p114) :args (@t162)) % 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% 0.15/0.40 (step @p174 :rule cong :premises (@p173) :args ((forall @t42 @t186))) % 0.15/0.40 (step @p175 :rule beta-reduce :args ((= @t188 @t185))) % 0.15/0.40 (step @p176 :rule nary_cong :premises (@p103 @p175) :args (@t189)) % 0.15/0.40 (step @p177 :rule cong :premises (@p176) :args (@t190)) % 0.15/0.40 (step @p178 :rule trans :premises (@p177 @p174)) % 0.15/0.40 (step @p179 :rule cong :premises (@p178) :args (@t191)) % 0.15/0.40 (step @p180 :rule beta-reduce :args ((= (_ @t155 @t187) @t191))) % 0.15/0.40 (step @p181 :rule trans :premises (@p180 @p179)) % 0.15/0.40 (step @p182 :rule beta-reduce :args ((= (_ @t14 @t10) @t187))) % 0.15/0.40 (step @p183 :rule ho_cong :premises (@p110 @p182)) % 0.15/0.40 (step @p184 :rule trans :premises (@p183 @p181)) % 0.15/0.40 (step @p185 :rule refl :args (@t14)) % 0.15/0.40 (step @p186 :rule ho_cong :premises (@p185 @p184)) % 0.15/0.40 (step @p187 :rule trans :premises (@p186 @p165)) % 0.15/0.40 (step @p188 :rule ho_cong :premises (@p187 @p160)) % 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@p236 :rule refl :args (@t140)) % 0.15/0.40 (step @p237 :rule refl :args (@t11)) % 0.15/0.40 (step @p238 :rule cong :premises (@p237 @p236) :args ((= @t11 @t140))) % 0.15/0.40 (step @p239 :rule symm :premises (@p238)) % 0.15/0.40 (step @p240 :rule eq_resolve :premises (@p237 @p239)) % 0.15/0.40 (step @p241 :rule cong :premises (@p240) :args (@t74)) % 0.15/0.40 (step @p242 :rule cong :premises (@p241) :args (@t76)) % 0.15/0.40 (step @p243 :rule trans :premises (@p32 @p242)) % 0.15/0.40 (step @p244 :rule ho_cong :premises (@p243 @p235)) % 0.15/0.40 (step @p245 :rule cong :premises (@p244) :args (@t2)) % 0.15/0.40 (step @p246 :rule trans :premises (@p245 @p157)) % 0.15/0.40 (step @p247 :rule eq_resolve :premises (@p4 @p246)) % 0.15/0.40 (step @p248 :rule skolemize :premises (@p247)) % 0.15/0.40 (step @p249 :rule bool-double-not-elim :args (@t198)) % 0.15/0.40 (step @p250 :rule refl :args (@t205)) % 0.15/0.40 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or @t205 (not @t199)))) % 0.15/0.40 (step @p252 :rule cnf_or_neg :args (@t205 2)) % 0.15/0.40 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.15/0.40 (step @p254 :rule reordering :premises (@p253) :args ((or @t198 @t205))) % 0.15/0.40 (step @p255 :rule chain_m_resolution :premises (@p254 @p248) :args (@t198 @t206 @t207)) % 0.15/0.40 (step @p256 :rule instantiate :premises (@p255) :args ((@list @t120))) % 0.15/0.40 (step @p257 :rule bool-double-not-elim :args (@t203)) % 0.15/0.40 (step @p258 :rule nary_cong :premises (@p250 @p257) :args ((or @t205 (not @t204)))) % 0.15/0.40 (step @p259 :rule cnf_or_neg :args (@t205 0)) % 0.15/0.40 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 0.15/0.40 (step @p261 :rule reordering :premises (@p260) :args ((or @t203 @t205))) % 0.15/0.40 (step @p262 :rule chain_m_resolution :premises (@p261 @p248) :args (@t203 @t206 @t207)) % 0.15/0.40 (step @p263 :rule instantiate :premises (@p262) :args ((@list @t114))) % 0.15/0.40 (step @p264 :rule bool-double-not-elim :args (@t201)) % 0.15/0.40 (step @p265 :rule nary_cong :premises (@p250 @p264) :args ((or @t205 (not @t202)))) % 0.15/0.40 (step @p266 :rule cnf_or_neg :args (@t205 1)) % 0.15/0.40 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 0.15/0.40 (step @p268 :rule reordering :premises (@p267) :args ((or @t201 @t205))) % 0.15/0.40 (step @p269 :rule chain_m_resolution :premises (@p268 @p248) :args (@t201 @t206 @t207)) % 0.15/0.40 (step @p270 :rule cnf_or_pos :args (@t209)) % 0.15/0.40 (step @p271 :rule reordering :premises (@p270) :args ((or @t202 @t208 (not @t209)))) % 0.15/0.40 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p263) :args (@t208 @t210 (@list @t201 @t209))) % 0.15/0.40 (step @p273 :rule skolemize :premises (@p272)) % 0.15/0.40 (step @p274 :rule bool-double-not-elim :args (@t211)) % 0.15/0.40 (step @p275 :rule refl :args (@t215)) % 0.15/0.40 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t215 (not @t212)))) % 0.15/0.40 (step @p277 :rule cnf_or_neg :args (@t215 1)) % 0.15/0.40 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 0.15/0.40 (step @p279 :rule reordering :premises (@p278) :args ((or @t211 @t215))) % 0.15/0.40 (step @p280 :rule chain_m_resolution :premises (@p279 @p273) :args (@t211 @t206 @t216)) % 0.15/0.40 (step @p281 :rule instantiate :premises (@p280) :args ((@list @t118))) % 0.15/0.40 (step @p282 :rule instantiate :premises (@p262) :args ((@list @t116))) % 0.15/0.40 (step @p283 :rule instantiate :premises (@p71) :args ((@list @t200 @t114 @t116))) % 0.15/0.40 (step @p284 :rule bool-double-not-elim :args (@t213)) % 0.15/0.40 (step @p285 :rule nary_cong :premises (@p275 @p284) :args ((or @t215 (not @t214)))) % 0.15/0.40 (step @p286 :rule cnf_or_neg :args (@t215 0)) % 0.15/0.40 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.15/0.40 (step @p288 :rule reordering :premises (@p287) :args ((or @t213 @t215))) % 0.15/0.40 (step @p289 :rule chain_m_resolution :premises (@p288 @p273) :args (@t213 @t206 @t216)) % 0.15/0.40 (step @p290 :rule cnf_or_pos :args (@t218)) % 0.15/0.40 (step @p291 :rule reordering :premises (@p290) :args ((or @t202 @t214 @t217 (not @t218)))) % 0.15/0.40 (step @p292 :rule chain_m_resolution :premises (@p291 @p269 @p289 @p283) :args (@t217 (@list false false false) (@list @t201 @t213 @t218))) % 0.15/0.40 (step @p293 :rule cnf_or_pos :args (@t221)) % 0.15/0.40 (step @p294 :rule reordering :premises (@p293) :args ((or @t220 @t219 (not @t221)))) % 0.15/0.41 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p282) :args (@t219 @t210 (@list @t217 @t221))) % 0.15/0.41 (step @p296 :rule skolemize :premises (@p295)) % 0.15/0.41 (step @p297 :rule bool-double-not-elim :args (@t222)) % 0.15/0.41 (step @p298 :rule refl :args (@t224)) % 0.15/0.41 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t224 (not @t223)))) % 0.15/0.41 (step @p300 :rule cnf_or_neg :args (@t224 0)) % 0.15/0.41 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.15/0.41 (step @p302 :rule reordering :premises (@p301) :args ((or @t222 @t224))) % 0.15/0.41 (step @p303 :rule chain_m_resolution :premises (@p302 @p296) :args (@t222 @t206 (@list @t224))) % 0.15/0.41 (step @p304 :rule cnf_or_pos :args (@t226)) % 0.15/0.41 (step @p305 :rule reordering :premises (@p304) :args ((or @t223 @t225 (not @t226)))) % 0.15/0.41 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p281) :args (@t225 @t210 (@list @t222 @t226))) % 0.15/0.41 (step @p307 :rule skolemize :premises (@p306)) % 0.15/0.41 (step @p308 :rule bool-double-not-elim :args (@t227)) % 0.15/0.41 (step @p309 :rule refl :args (@t231)) % 0.15/0.41 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t231 (not @t228)))) % 0.15/0.41 (step @p311 :rule cnf_or_neg :args (@t231 1)) % 0.15/0.41 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.15/0.41 (step @p313 :rule reordering :premises (@p312) :args ((or @t227 @t231))) % 0.15/0.41 (step @p314 :rule chain_m_resolution :premises (@p313 @p307) :args (@t227 @t206 @t232)) % 0.15/0.41 (step @p315 :rule cnf_or_pos :args (@t235)) % 0.15/0.41 (step @p316 :rule reordering :premises (@p315) :args ((or @t228 @t234 (not @t235)))) % 0.15/0.41 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p256) :args (@t234 @t210 (@list @t227 @t235))) % 0.15/0.41 (step @p318 :rule cnf_or_pos :args (@t238)) % 0.15/0.41 (step @p319 :rule reordering :premises (@p318) :args ((or @t214 @t233 @t237 (not @t238)))) % 0.15/0.41 (step @p320 :rule chain_m_resolution :premises (@p319 @p289 @p317 @p72) :args (@t237 (@list false true false) (@list @t213 @t233 @t238))) % 0.15/0.41 (step @p321 :rule bool-double-not-elim :args (@t229)) % 0.15/0.41 (step @p322 :rule nary_cong :premises (@p309 @p321) :args ((or @t231 (not @t230)))) % 0.15/0.41 (step @p323 :rule cnf_or_neg :args (@t231 0)) % 0.15/0.41 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 0.15/0.41 (step @p325 :rule reordering :premises (@p324) :args ((or @t229 @t231))) % 0.15/0.41 (step @p326 :rule chain_m_resolution :premises (@p325 @p307) :args (@t229 @t206 @t232)) % 0.15/0.41 (step @p327 :rule cnf_or_pos :args (@t239)) % 0.15/0.41 (step @p328 :rule reordering :premises (@p327) :args ((or @t223 @t230 @t236 @t240))) % 0.15/0.41 (step @p329 :rule chain_m_resolution :premises (@p328 @p303 @p326 @p320) :args (@t240 (@list false false true) (@list @t222 @t229 @t236))) % 0.15/0.41 (assume-push @p336 @t87) % 0.15/0.41 (step @p331 :rule instantiate :premises (@p71) :args ((@list @t116 @t118 @t120))) % 0.15/0.41 (step-pop @p337 :rule scope :premises (@p331)) % 0.15/0.41 (step @p332 :rule process_scope :premises (@p337) :args (@t239)) % 0.15/0.41 (step @p334 :rule implies_elim :premises (@p332)) % 0.15/0.41 (step @p335 false :rule chain_m_resolution :premises (@p334 @p329 @p71) :args (false (@list true false) (@list @t239 @t87))) % 0.15/0.41 ) % 0.15/0.41 % SZS output end Proof % 0.15/0.41 % cvc5 exiting %------------------------------------------------------------------------------