%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO464^5 : 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 : n009.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 09:12:50 AM UTC 2026 % Result : Theorem 0.43s 0.62s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO464^5 : 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 % 0.18/0.35 % Computer : n009.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:11:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.43/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.62 % SZS status Theorem % 0.43/0.62 % SZS output start Proof % 0.43/0.62 ( % 0.43/0.62 (declare-sort $$unsorted 0) % 0.43/0.62 (declare-sort tptp.mu 0) % 0.43/0.62 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.43/0.62 (declare-const tptp.q (-> $$unsorted Bool)) % 0.43/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.43/0.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.43/0.62 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.43/0.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.43/0.62 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.43/0.62 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.43/0.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.43/0.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.43/0.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.43/0.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.43/0.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.43/0.62 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.43/0.62 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.43/0.62 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.43/0.62 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.43/0.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.43/0.62 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.43/0.62 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.43/0.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.43/0.62 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.43/0.62 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.43/0.62 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.43/0.62 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.43/0.62 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.43/0.62 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.43/0.62 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.43/0.62 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.43/0.62 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.43/0.62 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.43/0.62 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.43/0.62 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.43/0.62 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.43/0.62 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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)))))))) % 0.43/0.62 (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))))) % 0.43/0.62 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ (_ tptp.mand tptp.p) tptp.q))) (_ tptp.mbox_s4 (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mdia_s4 tptp.p)) (_ tptp.mdia_s4 tptp.q)))))))) % 0.43/0.62 (define @t2 () (@var "Y" tptp.mu)) % 0.43/0.62 (define @t3 () (@var "X" tptp.mu)) % 0.43/0.62 (define @t4 () (@var "W" $$unsorted)) % 0.43/0.62 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.43/0.62 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.43/0.62 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.43/0.62 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.43/0.62 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.43/0.62 (define @t10 () (_ @t9 @t4)) % 0.43/0.62 (define @t11 () (not @t10)) % 0.43/0.62 (define @t12 () (@list @t9 @t4)) % 0.43/0.62 (define @t13 () (lambda @t12 @t11)) % 0.43/0.62 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.43/0.62 (define @t15 () (_ @t14 @t4)) % 0.43/0.62 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.43/0.62 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.43/0.62 (define @t18 () (_ tptp.mnot @t14)) % 0.43/0.62 (define @t19 () (_ tptp.mnot @t9)) % 0.43/0.62 (define @t20 () (_ tptp.mor @t19)) % 0.43/0.62 (define @t21 () (@list @t9 @t14 @t17)) % 0.43/0.62 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.43/0.62 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.43/0.62 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.43/0.62 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.43/0.62 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.43/0.62 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.43/0.62 (define @t28 () (_ @t27 @t3)) % 0.43/0.62 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.43/0.62 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.43/0.62 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.43/0.62 (define @t32 () (_ @t31 @t30)) % 0.43/0.62 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.43/0.62 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.43/0.62 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.43/0.62 (define @t36 () (@list @t4)) % 0.43/0.62 (define @t37 () (lambda @t36 true)) % 0.43/0.62 (define @t38 () (@var "V" $$unsorted)) % 0.43/0.62 (define @t39 () (_ @t9 @t38)) % 0.43/0.62 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.43/0.62 (define @t41 () (@list @t38)) % 0.43/0.62 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.43/0.62 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.43/0.62 (define @t44 () (@var "S" $$unsorted)) % 0.43/0.62 (define @t45 () (_ @t40 @t44)) % 0.43/0.62 (define @t46 () (@list @t44)) % 0.43/0.62 (define @t47 () (@list @t40)) % 0.43/0.62 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.43/0.62 (define @t49 () (@var "T" $$unsorted)) % 0.43/0.62 (define @t50 () (_ @t40 @t49)) % 0.43/0.62 (define @t51 () (_ @t45 @t49)) % 0.43/0.62 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.43/0.62 (define @t53 () (@list @t49)) % 0.43/0.62 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.43/0.62 (define @t55 () (@var "U" $$unsorted)) % 0.43/0.62 (define @t56 () (_ @t45 @t55)) % 0.43/0.62 (define @t57 () (_ @t50 @t55)) % 0.43/0.62 (define @t58 () (and @t51 @t57)) % 0.43/0.62 (define @t59 () (@list @t44 @t49 @t55)) % 0.43/0.62 (define @t60 () (forall @t59 (=> @t58 @t56))) % 0.43/0.62 (define @t61 () (lambda @t47 @t60)) % 0.43/0.62 (define @t62 () (and @t51 @t56)) % 0.43/0.62 (define @t63 () (lambda @t47 (forall @t59 (=> @t62 @t57)))) % 0.43/0.62 (define @t64 () (= @t49 @t55)) % 0.43/0.62 (define @t65 () (lambda @t47 (forall @t59 (=> @t62 @t64)))) % 0.43/0.62 (define @t66 () (@list @t55)) % 0.43/0.62 (define @t67 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t66 (=> @t56 @t64))))))) % 0.43/0.62 (define @t68 () (_ @t40 @t55)) % 0.43/0.62 (define @t69 () (_ @t68 @t49)) % 0.43/0.62 (define @t70 () (lambda @t47 (forall @t59 (=> @t51 (exists @t66 (and @t56 @t69)))))) % 0.43/0.62 (define @t71 () (lambda @t47 (forall @t59 (=> @t62 (or @t57 @t64 @t69))))) % 0.43/0.62 (define @t72 () (lambda @t47 (forall @t59 (=> @t62 (exists @t41 (and (_ @t50 @t38) (_ @t68 @t38))))))) % 0.43/0.62 (define @t73 () (forall @t36 @t10)) % 0.43/0.62 (define @t74 () (@list @t9)) % 0.43/0.62 (define @t75 () (lambda @t74 @t73)) % 0.43/0.62 (define @t76 () (lambda @t74 (forall @t36 @t11))) % 0.43/0.62 (define @t77 () (lambda @t74 (exists @t36 @t10))) % 0.43/0.62 (define @t78 () (lambda @t74 (exists @t36 @t11))) % 0.43/0.62 (define @t79 () (_ (_ tptp.rel_s4 @t4) @t38)) % 0.43/0.62 (define @t80 () (not @t79)) % 0.43/0.62 (define @t81 () (or @t80 @t39)) % 0.43/0.62 (define @t82 () (forall @t41 @t81)) % 0.43/0.62 (define @t83 () (lambda @t12 @t82)) % 0.43/0.62 (define @t84 () (@list @t9 @t17)) % 0.43/0.62 (define @t85 () (lambda @t84 (_ (_ tptp.mnot (_ tptp.mbox_s4 @t19)) @t17))) % 0.43/0.62 (define @t86 () (forall @t59 (or (not (tptp.rel_s4 @t44 @t49)) (not (tptp.rel_s4 @t49 @t55)) (tptp.rel_s4 @t44 @t55)))) % 0.43/0.62 (define @t87 () (_ @t40 @t44 @t55)) % 0.43/0.62 (define @t88 () (_ @t40 @t49 @t55)) % 0.43/0.62 (define @t89 () (_ @t40 @t44 @t49)) % 0.43/0.62 (define @t90 () (not @t57)) % 0.43/0.62 (define @t91 () (not @t51)) % 0.43/0.62 (define @t92 () (or @t91 @t90 @t56)) % 0.43/0.62 (define @t93 () (@var "BOUND_VARIABLE_8616" $$unsorted)) % 0.43/0.62 (define @t94 () (not (tptp.p @t93))) % 0.43/0.62 (define @t95 () (@var "BOUND_VARIABLE_8614" $$unsorted)) % 0.43/0.62 (define @t96 () (not (tptp.rel_s4 @t95 @t93))) % 0.43/0.62 (define @t97 () (@var "BOUND_VARIABLE_8500" $$unsorted)) % 0.43/0.62 (define @t98 () (not (tptp.q @t97))) % 0.43/0.62 (define @t99 () (@list @t97)) % 0.43/0.62 (define @t100 () (not (forall @t99 (or (not (tptp.rel_s4 @t95 @t97)) @t98)))) % 0.43/0.62 (define @t101 () (@var "BOUND_VARIABLE_8612" $$unsorted)) % 0.43/0.62 (define @t102 () (not (tptp.rel_s4 @t101 @t95))) % 0.43/0.62 (define @t103 () (not (tptp.rel_s4 @t4 @t101))) % 0.43/0.62 (define @t104 () (tptp.q @t38)) % 0.43/0.62 (define @t105 () (tptp.p @t38)) % 0.43/0.62 (define @t106 () (and @t105 @t104)) % 0.43/0.62 (define @t107 () (tptp.rel_s4 @t4 @t38)) % 0.43/0.62 (define @t108 () (not @t107)) % 0.43/0.62 (define @t109 () (forall @t41 (or @t108 @t106))) % 0.43/0.62 (define @t110 () (not @t109)) % 0.43/0.62 (define @t111 () (or @t110 @t103 @t102 @t100 @t96 @t94)) % 0.43/0.62 (define @t112 () (@list @t4 @t101 @t95 @t93)) % 0.43/0.62 (define @t113 () (forall @t112 @t111)) % 0.43/0.62 (define @t114 () (@quantifiers_skolemize @t113 3)) % 0.43/0.62 (define @t115 () (@quantifiers_skolemize @t113 2)) % 0.43/0.62 (define @t116 () (@quantifiers_skolemize @t113 1)) % 0.43/0.62 (define @t117 () (or @t103 @t102 @t100 @t96 @t94)) % 0.43/0.62 (define @t118 () (or @t110 @t117)) % 0.43/0.62 (define @t119 () (forall @t112 @t118)) % 0.43/0.62 (define @t120 () (@list @t101 @t95 @t93)) % 0.43/0.62 (define @t121 () (forall @t120 @t118)) % 0.43/0.62 (define @t122 () (forall @t120 @t117)) % 0.43/0.62 (define @t123 () (@var "BOUND_VARIABLE_8577" $$unsorted)) % 0.43/0.62 (define @t124 () (@var "BOUND_VARIABLE_8575" $$unsorted)) % 0.43/0.62 (define @t125 () (or @t110 @t122)) % 0.43/0.62 (define @t126 () (not (tptp.p @t123))) % 0.43/0.62 (define @t127 () (not (tptp.rel_s4 @t124 @t123))) % 0.43/0.62 (define @t128 () (not (forall @t99 (or (not (tptp.rel_s4 @t124 @t97)) @t98)))) % 0.43/0.62 (define @t129 () (not (tptp.rel_s4 @t38 @t124))) % 0.43/0.62 (define @t130 () (or @t108 @t129 @t128 @t127 @t126)) % 0.43/0.62 (define @t131 () (@list @t38 @t124 @t123)) % 0.43/0.62 (define @t132 () (forall @t131 @t130)) % 0.43/0.62 (define @t133 () (or @t110 @t132)) % 0.43/0.62 (define @t134 () (not (tptp.rel_s4 @t17 @t38))) % 0.43/0.62 (define @t135 () (forall @t131 (or @t134 @t129 @t128 @t127 @t126))) % 0.43/0.62 (define @t136 () (forall @t41 (or @t134 @t106))) % 0.43/0.62 (define @t137 () (not @t136)) % 0.43/0.62 (define @t138 () (@list @t17)) % 0.43/0.62 (define @t139 () (lambda @t138 (or @t137 @t135))) % 0.43/0.62 (define @t140 () (_ @t139 @t4)) % 0.43/0.62 (define @t141 () (forall @t36 @t140)) % 0.43/0.62 (define @t142 () (_ @t9 @t4)) % 0.43/0.62 (define @t143 () (lambda @t74 (forall @t36 @t142))) % 0.43/0.62 (define @t144 () (lambda @t36 @t132)) % 0.43/0.62 (define @t145 () (_ @t144 @t17)) % 0.43/0.62 (define @t146 () (or @t137 @t145)) % 0.43/0.62 (define @t147 () (lambda @t138 @t146)) % 0.43/0.62 (define @t148 () (_ @t14 @t17)) % 0.43/0.62 (define @t149 () (@list @t14 @t17)) % 0.43/0.62 (define @t150 () (or @t129 @t128 @t127 @t126)) % 0.43/0.62 (define @t151 () (or @t108 @t150)) % 0.43/0.62 (define @t152 () (forall @t131 @t151)) % 0.43/0.62 (define @t153 () (@list @t124 @t123)) % 0.43/0.62 (define @t154 () (forall @t153 @t151)) % 0.43/0.62 (define @t155 () (forall @t153 @t150)) % 0.43/0.62 (define @t156 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 0.43/0.62 (define @t157 () (@var "BOUND_VARIABLE_8553" $$unsorted)) % 0.43/0.62 (define @t158 () (or @t108 @t155)) % 0.43/0.62 (define @t159 () (not (tptp.p @t156))) % 0.43/0.62 (define @t160 () (not (tptp.rel_s4 @t157 @t156))) % 0.43/0.62 (define @t161 () (not (forall @t99 (or (not (tptp.rel_s4 @t157 @t97)) @t98)))) % 0.43/0.62 (define @t162 () (@list @t157 @t156)) % 0.43/0.62 (define @t163 () (forall @t162 (or (not (tptp.rel_s4 @t38 @t157)) @t161 @t160 @t159))) % 0.43/0.62 (define @t164 () (not (tptp.rel_s4 @t38 @t156))) % 0.43/0.62 (define @t165 () (not (forall @t99 (or (not (tptp.rel_s4 @t38 @t97)) @t98)))) % 0.43/0.62 (define @t166 () (or @t108 @t165 @t164 @t159)) % 0.43/0.62 (define @t167 () (@list @t38 @t156)) % 0.43/0.62 (define @t168 () (forall @t167 @t166)) % 0.43/0.62 (define @t169 () (@list @t38)) % 0.43/0.62 (define @t170 () (lambda @t36 @t168)) % 0.43/0.62 (define @t171 () (or @t108 (_ @t170 @t38))) % 0.43/0.62 (define @t172 () (forall @t41 @t171)) % 0.43/0.62 (define @t173 () (lambda @t36 @t172)) % 0.43/0.62 (define @t174 () (_ @t9 @t38)) % 0.43/0.62 (define @t175 () (lambda @t12 (forall @t41 (or @t108 @t174)))) % 0.43/0.62 (define @t176 () (or @t164 @t159)) % 0.43/0.62 (define @t177 () (or @t108 @t176 @t165)) % 0.43/0.62 (define @t178 () (forall @t167 @t177)) % 0.43/0.62 (define @t179 () (@list @t156)) % 0.43/0.62 (define @t180 () (forall @t179 @t177)) % 0.43/0.62 (define @t181 () (forall @t179 @t176)) % 0.43/0.62 (define @t182 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 0.43/0.62 (define @t183 () (@list @t182)) % 0.43/0.62 (define @t184 () (or @t108 @t181 @t165)) % 0.43/0.62 (define @t185 () (not (tptp.p @t182))) % 0.43/0.62 (define @t186 () (@list @t182)) % 0.43/0.62 (define @t187 () (forall @t186 (or (not (tptp.rel_s4 @t38 @t182)) @t185))) % 0.43/0.62 (define @t188 () (or @t108 @t187 @t165)) % 0.43/0.62 (define @t189 () (or @t187 @t165)) % 0.43/0.62 (define @t190 () (forall @t41 (or @t134 (not @t104)))) % 0.43/0.62 (define @t191 () (not @t190)) % 0.43/0.62 (define @t192 () (forall @t41 (or @t134 (not @t105)))) % 0.43/0.62 (define @t193 () (or @t192 @t191)) % 0.43/0.62 (define @t194 () (lambda @t138 @t193)) % 0.43/0.62 (define @t195 () (or @t108 (_ @t194 @t38))) % 0.43/0.62 (define @t196 () (forall @t41 @t195)) % 0.43/0.62 (define @t197 () (lambda @t36 @t196)) % 0.43/0.62 (define @t198 () (lambda @t138 @t191)) % 0.43/0.62 (define @t199 () (_ @t198 @t17)) % 0.43/0.62 (define @t200 () (or @t192 @t199)) % 0.43/0.62 (define @t201 () (lambda @t138 @t200)) % 0.43/0.62 (define @t202 () (not @t174)) % 0.43/0.62 (define @t203 () (not (forall @t41 (or @t134 @t202)))) % 0.43/0.62 (define @t204 () (lambda @t84 @t203)) % 0.43/0.62 (define @t205 () (_ @t204 tptp.q)) % 0.43/0.62 (define @t206 () (not @t192)) % 0.43/0.62 (define @t207 () (lambda @t138 @t206)) % 0.43/0.62 (define @t208 () (_ @t207 @t17)) % 0.43/0.62 (define @t209 () (not @t208)) % 0.43/0.62 (define @t210 () (or @t209 @t148)) % 0.43/0.62 (define @t211 () (lambda @t149 @t210)) % 0.43/0.62 (define @t212 () (not (_ @t9 @t17))) % 0.43/0.62 (define @t213 () (or @t212 @t148)) % 0.43/0.62 (define @t214 () (lambda @t21 @t213)) % 0.43/0.62 (define @t215 () (_ @t204 tptp.p)) % 0.43/0.62 (define @t216 () (lambda @t36 @t109)) % 0.43/0.62 (define @t217 () (_ @t216 @t17)) % 0.43/0.62 (define @t218 () (not @t217)) % 0.43/0.62 (define @t219 () (or @t218 @t148)) % 0.43/0.62 (define @t220 () (lambda @t149 @t219)) % 0.43/0.62 (define @t221 () (_ tptp.q @t38)) % 0.43/0.62 (define @t222 () (_ tptp.p @t38)) % 0.43/0.62 (define @t223 () (and @t222 @t221)) % 0.43/0.62 (define @t224 () (or @t108 @t223)) % 0.43/0.62 (define @t225 () (not @t221)) % 0.43/0.62 (define @t226 () (not @t222)) % 0.43/0.62 (define @t227 () (not (or @t226 @t225))) % 0.43/0.62 (define @t228 () (or @t108 @t227)) % 0.43/0.62 (define @t229 () (not (_ tptp.p @t17))) % 0.43/0.62 (define @t230 () (lambda @t138 (not (or @t229 (not (_ tptp.q @t17)))))) % 0.43/0.62 (define @t231 () (_ @t230 @t38)) % 0.43/0.62 (define @t232 () (or @t108 @t231)) % 0.43/0.62 (define @t233 () (forall @t41 @t232)) % 0.43/0.62 (define @t234 () (lambda @t36 @t233)) % 0.43/0.62 (define @t235 () (not @t148)) % 0.43/0.62 (define @t236 () (lambda @t149 (not (or @t229 @t235)))) % 0.43/0.62 (define @t237 () (not (or @t212 @t235))) % 0.43/0.62 (define @t238 () (_ (lambda @t21 @t237) tptp.p)) % 0.43/0.62 (define @t239 () (forall @t41 (or @t108 @t202))) % 0.43/0.62 (define @t240 () (lambda @t36 @t239)) % 0.43/0.62 (define @t241 () (_ @t240 @t4)) % 0.43/0.62 (define @t242 () (not @t241)) % 0.43/0.62 (define @t243 () (lambda @t36 @t242)) % 0.43/0.62 (define @t244 () (not @t39)) % 0.43/0.62 (define @t245 () (or @t108 @t244)) % 0.43/0.62 (define @t246 () (lambda @t36 @t11)) % 0.43/0.62 (define @t247 () (_ @t246 @t38)) % 0.43/0.62 (define @t248 () (or @t108 @t247)) % 0.43/0.62 (define @t249 () (forall @t41 @t248)) % 0.43/0.62 (define @t250 () (lambda @t36 @t249)) % 0.43/0.62 (define @t251 () (or @t11 @t15)) % 0.43/0.62 (define @t252 () (lambda @t36 @t251)) % 0.43/0.62 (define @t253 () (@list @t14 @t4)) % 0.43/0.62 (define @t254 () (lambda @t253 @t251)) % 0.43/0.62 (define @t255 () (_ @t246 @t4)) % 0.43/0.62 (define @t256 () (or @t255 @t15)) % 0.43/0.62 (define @t257 () (lambda @t253 @t256)) % 0.43/0.62 (define @t258 () (not @t15)) % 0.43/0.62 (define @t259 () (or @t11 @t258)) % 0.43/0.62 (define @t260 () (lambda @t36 @t259)) % 0.43/0.62 (define @t261 () (_ @t260 @t4)) % 0.43/0.62 (define @t262 () (not @t261)) % 0.43/0.62 (define @t263 () (lambda @t36 @t262)) % 0.43/0.62 (define @t264 () (lambda @t36 @t258)) % 0.43/0.62 (define @t265 () (_ @t264 @t4)) % 0.43/0.62 (define @t266 () (or @t11 @t265)) % 0.43/0.62 (define @t267 () (lambda @t36 @t266)) % 0.43/0.62 (define @t268 () (tptp.rel_s4 @t115 @t114)) % 0.43/0.62 (define @t269 () (tptp.p @t114)) % 0.43/0.62 (define @t270 () (not @t268)) % 0.43/0.62 (define @t271 () (forall @t99 (or (not (tptp.rel_s4 @t115 @t97)) @t98))) % 0.43/0.62 (define @t272 () (not @t271)) % 0.43/0.62 (define @t273 () (tptp.rel_s4 @t116 @t115)) % 0.43/0.62 (define @t274 () (not @t273)) % 0.43/0.62 (define @t275 () (@quantifiers_skolemize @t113 0)) % 0.43/0.62 (define @t276 () (tptp.rel_s4 @t275 @t116)) % 0.43/0.62 (define @t277 () (not @t276)) % 0.43/0.62 (define @t278 () (forall @t41 (or (not (tptp.rel_s4 @t275 @t38)) @t106))) % 0.43/0.62 (define @t279 () (not @t278)) % 0.43/0.62 (define @t280 () (or @t279 @t277 @t274 @t272 @t270 (not @t269))) % 0.43/0.62 (define @t281 () (@list true)) % 0.43/0.62 (define @t282 () (@list @t280)) % 0.43/0.62 (define @t283 () (tptp.rel_s4 @t116 @t114)) % 0.43/0.62 (define @t284 () (or @t274 @t270 @t283)) % 0.43/0.62 (define @t285 () (@list @t114)) % 0.43/0.62 (define @t286 () (tptp.q @t114)) % 0.43/0.62 (define @t287 () (not @t286)) % 0.43/0.62 (define @t288 () (or @t270 @t287)) % 0.43/0.62 (define @t289 () (and @t269 @t286)) % 0.43/0.62 (define @t290 () (not @t289)) % 0.43/0.62 (define @t291 () (tptp.rel_s4 @t275 @t114)) % 0.43/0.62 (define @t292 () (not @t291)) % 0.43/0.62 (define @t293 () (or @t292 @t289)) % 0.43/0.62 (define @t294 () (@list true false)) % 0.43/0.62 (define @t295 () (not @t283)) % 0.43/0.62 (define @t296 () (or @t277 @t295 @t291)) % 0.43/0.62 (define @t297 () (not @t296)) % 0.43/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.43/0.62 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.43/0.62 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.43/0.62 (assume @p4 @t1) % 0.43/0.62 (assume @p5 true) % 0.43/0.62 (step @p6 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.43/0.62 (step @p7 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.43/0.62 (step @p8 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.43/0.62 (step @p9 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.43/0.62 (step @p10 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.43/0.62 (step @p11 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.43/0.62 (step @p12 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.43/0.62 (step @p13 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.43/0.62 (step @p14 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.43/0.62 (step @p15 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.43/0.62 (step @p16 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.43/0.62 (step @p17 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.43/0.62 (step @p18 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.43/0.62 (step @p19 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.43/0.62 (step @p20 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.43/0.62 (step @p21 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.43/0.62 (step @p22 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.43/0.62 (step @p23 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.43/0.62 (step @p24 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.43/0.62 (step @p25 (= tptp.mtransitive @t61) :rule refl :args (@t61)) % 0.43/0.62 (step @p26 (= tptp.meuclidean @t63) :rule refl :args (@t63)) % 0.43/0.62 (step @p27 (= tptp.mpartially_functional @t65) :rule refl :args (@t65)) % 0.43/0.62 (step @p28 (= tptp.mfunctional @t67) :rule refl :args (@t67)) % 0.43/0.62 (step @p29 (= tptp.mweakly_dense @t70) :rule refl :args (@t70)) % 0.43/0.62 (step @p30 (= tptp.mweakly_connected @t71) :rule refl :args (@t71)) % 0.43/0.62 (step @p31 (= tptp.mweakly_directed @t72) :rule refl :args (@t72)) % 0.43/0.62 (step @p32 (= tptp.mvalid @t75) :rule refl :args (@t75)) % 0.43/0.62 (step @p33 (= tptp.minvalid @t76) :rule refl :args (@t76)) % 0.43/0.62 (step @p34 (= tptp.msatisfiable @t77) :rule refl :args (@t77)) % 0.43/0.62 (step @p35 (= tptp.mcountersatisfiable @t78) :rule refl :args (@t78)) % 0.43/0.62 (step @p36 (= tptp.mbox_s4 @t83) :rule refl :args (@t83)) % 0.43/0.62 (step @p37 (= tptp.mdia_s4 @t85) :rule refl :args (@t85)) % 0.43/0.62 (step @p38 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t59 (or (not @t89) (not @t88) @t87))) tptp.rel_s4) @t86))) % 0.43/0.62 (step @p39 :rule refl :args (tptp.rel_s4)) % 0.43/0.62 (step @p40 :rule refl :args (@t87)) % 0.43/0.62 (step @p41 :rule refl :args (@t56)) % 0.43/0.62 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t56 @t87))) % 0.43/0.62 (step @p43 :rule symm :premises (@p42)) % 0.43/0.62 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.43/0.62 (step @p45 :rule refl :args (@t88)) % 0.43/0.62 (step @p46 :rule refl :args (@t57)) % 0.43/0.62 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t57 @t88))) % 0.43/0.62 (step @p48 :rule symm :premises (@p47)) % 0.43/0.62 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.43/0.62 (step @p50 :rule cong :premises (@p49) :args (@t90)) % 0.43/0.62 (step @p51 :rule refl :args (@t89)) % 0.43/0.62 (step @p52 :rule refl :args (@t51)) % 0.43/0.62 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t51 @t89))) % 0.43/0.62 (step @p54 :rule symm :premises (@p53)) % 0.43/0.62 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.43/0.62 (step @p56 :rule cong :premises (@p55) :args (@t91)) % 0.43/0.62 (step @p57 :rule nary_cong :premises (@p56 @p50 @p44) :args (@t92)) % 0.43/0.62 (step @p58 :rule cong :premises (@p57) :args ((forall @t59 @t92))) % 0.43/0.62 (step @p59 :rule aci_norm :args ((= (or (or @t91 @t90) @t56) @t92))) % 0.43/0.62 (step @p60 :rule bool-and-de-morgan :args (@t51 @t57 true)) % 0.43/0.62 (step @p61 :rule nary_cong :premises (@p60 @p41) :args ((or (not @t58) @t56))) % 0.43/0.62 (step @p62 :rule trans :premises (@p61 @p59)) % 0.43/0.62 (step @p63 :rule bool-impl-elim :args (@t58 @t56)) % 0.43/0.62 (step @p64 :rule trans :premises (@p63 @p62)) % 0.43/0.62 (step @p65 :rule cong :premises (@p64) :args (@t60)) % 0.43/0.62 (step @p66 :rule trans :premises (@p65 @p58)) % 0.43/0.62 (step @p67 :rule cong :premises (@p66) :args (@t61)) % 0.43/0.62 (step @p68 :rule trans :premises (@p25 @p67)) % 0.43/0.62 (step @p69 :rule ho_cong :premises (@p68 @p39)) % 0.43/0.62 (step @p70 :rule trans :premises (@p69 @p38)) % 0.43/0.62 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:args ((= (_ @t13 @t260) @t263))) % 0.43/0.62 (step @p307 :rule trans :premises (@p306 @p305)) % 0.43/0.62 (step @p308 :rule beta-reduce :args ((= @t265 @t258))) % 0.43/0.62 (step @p309 :rule refl :args (@t11)) % 0.43/0.62 (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t266)) % 0.43/0.62 (step @p311 :rule cong :premises (@p310) :args (@t267)) % 0.43/0.62 (step @p312 :rule beta-reduce :args ((= (_ @t254 @t264) @t267))) % 0.43/0.62 (step @p313 :rule trans :premises (@p312 @p311)) % 0.43/0.62 (step @p314 :rule beta-reduce :args ((= (_ @t13 @t14) @t264))) % 0.43/0.62 (step @p315 :rule ho_cong :premises (@p287 @p314)) % 0.43/0.62 (step @p316 :rule trans :premises (@p315 @p313)) % 0.43/0.62 (step @p317 :rule ho_cong :premises (@p250 @p316)) % 0.43/0.62 (step @p318 :rule trans :premises (@p317 @p307)) % 0.43/0.62 (step @p319 :rule ho_cong :premises (@p318 @p226)) % 0.43/0.62 (step @p320 :rule trans :premises (@p319 @p302)) % 0.43/0.62 (step @p321 :rule ho_cong :premises (@p8 @p278)) % 0.43/0.62 (step @p322 :rule ho_cong :premises (@p292 @p321)) % 0.43/0.62 (step @p323 :rule ho_cong :premises (@p8 @p322)) % 0.43/0.62 (step @p324 :rule ho_cong :premises (@p323 @p226)) % 0.43/0.62 (step @p325 :rule trans :premises (@p324 @p320)) % 0.43/0.62 (step @p326 :rule cong :premises (@p325) :args (@t22)) % 0.43/0.62 (step @p327 :rule trans :premises (@p10 @p326)) % 0.43/0.62 (step @p328 :rule ho_cong :premises (@p327 @p274)) % 0.43/0.62 (step @p329 :rule ho_cong :premises (@p328 @p211)) % 0.43/0.62 (step @p330 :rule ho_cong :premises (@p266 @p329)) % 0.43/0.62 (step @p331 :rule ho_cong :premises (@p297 @p330)) % 0.43/0.62 (step @p332 :rule ho_cong :premises (@p331 @p301)) % 0.43/0.62 (step @p333 :rule refl :args (@t142)) % 0.43/0.62 (step @p334 :rule refl :args (@t10)) % 0.43/0.62 (step @p335 :rule cong :premises (@p334 @p333) :args ((= @t10 @t142))) % 0.43/0.62 (step @p336 :rule symm :premises (@p335)) % 0.43/0.62 (step @p337 :rule eq_resolve :premises (@p334 @p336)) % 0.43/0.62 (step @p338 :rule cong :premises (@p337) :args (@t73)) % 0.43/0.62 (step @p339 :rule cong :premises (@p338) :args (@t75)) % 0.43/0.62 (step @p340 :rule trans :premises (@p32 @p339)) % 0.43/0.62 (step @p341 :rule ho_cong :premises (@p340 @p332)) % 0.43/0.62 (step @p342 :rule cong :premises (@p341) :args (@t1)) % 0.43/0.62 (step @p343 :rule trans :premises (@p342 @p224)) % 0.43/0.62 (step @p344 :rule eq_resolve :premises (@p4 @p343)) % 0.43/0.62 (step @p345 :rule skolemize :premises (@p344)) % 0.43/0.62 (step @p346 :rule bool-double-not-elim :args (@t268)) % 0.43/0.62 (step @p347 :rule refl :args (@t280)) % 0.43/0.62 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t280 (not @t270)))) % 0.43/0.62 (step @p349 :rule cnf_or_neg :args (@t280 4)) % 0.43/0.62 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.43/0.62 (step @p351 :rule reordering :premises (@p350) :args ((or @t268 @t280))) % 0.43/0.62 (step @p352 :rule chain_m_resolution :premises (@p351 @p345) :args (@t268 @t281 @t282)) % 0.43/0.62 (step @p353 :rule bool-double-not-elim :args (@t273)) % 0.43/0.62 (step @p354 :rule nary_cong :premises (@p347 @p353) :args ((or @t280 (not @t274)))) % 0.43/0.62 (step @p355 :rule cnf_or_neg :args (@t280 2)) % 0.43/0.62 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 0.43/0.62 (step @p357 :rule reordering :premises (@p356) :args ((or @t273 @t280))) % 0.43/0.62 (step @p358 :rule chain_m_resolution :premises (@p357 @p345) :args (@t273 @t281 @t282)) % 0.43/0.62 (step @p359 :rule cnf_or_pos :args (@t284)) % 0.43/0.62 (step @p360 :rule reordering :premises (@p359) :args ((or @t274 @t270 @t283 (not @t284)))) % 0.43/0.62 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p352 @p72) :args (@t283 (@list false false false) (@list @t273 @t268 @t284))) % 0.43/0.62 (step @p362 :rule bool-double-not-elim :args (@t278)) % 0.43/0.62 (step @p363 :rule nary_cong :premises (@p347 @p362) :args ((or @t280 (not @t279)))) % 0.43/0.62 (step @p364 :rule cnf_or_neg :args (@t280 0)) % 0.43/0.62 (step @p365 :rule eq_resolve :premises (@p364 @p363)) % 0.43/0.62 (step @p366 :rule reordering :premises (@p365) :args ((or @t278 @t280))) % 0.43/0.62 (step @p367 :rule chain_m_resolution :premises (@p366 @p345) :args (@t278 @t281 @t282)) % 0.43/0.62 (step @p368 :rule instantiate :premises (@p367) :args (@t285)) % 0.43/0.62 (step @p369 :rule bool-double-not-elim :args (@t271)) % 0.43/0.62 (step @p370 :rule nary_cong :premises (@p347 @p369) :args ((or @t280 (not @t272)))) % 0.43/0.62 (step @p371 :rule cnf_or_neg :args (@t280 3)) % 0.43/0.62 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 0.43/0.62 (step @p373 :rule reordering :premises (@p372) :args ((or @t271 @t280))) % 0.43/0.62 (step @p374 :rule chain_m_resolution :premises (@p373 @p345) :args (@t271 @t281 @t282)) % 0.43/0.62 (step @p375 :rule instantiate :premises (@p374) :args (@t285)) % 0.43/0.62 (step @p376 :rule cnf_or_pos :args (@t288)) % 0.43/0.62 (step @p377 :rule reordering :premises (@p376) :args ((or @t270 @t287 (not @t288)))) % 0.43/0.62 (step @p378 :rule chain_m_resolution :premises (@p377 @p352 @p375) :args (@t287 (@list false false) (@list @t268 @t288))) % 0.43/0.62 (step @p379 :rule cnf_and_pos :args (@t289 1)) % 0.43/0.62 (step @p380 :rule reordering :premises (@p379) :args ((or @t286 @t290))) % 0.43/0.62 (step @p381 :rule chain_m_resolution :premises (@p380 @p378) :args (@t290 @t281 (@list @t286))) % 0.43/0.62 (step @p382 :rule cnf_or_pos :args (@t293)) % 0.43/0.62 (step @p383 :rule reordering :premises (@p382) :args ((or @t292 @t289 (not @t293)))) % 0.43/0.62 (step @p384 :rule chain_m_resolution :premises (@p383 @p381 @p368) :args (@t292 @t294 (@list @t289 @t293))) % 0.43/0.62 (step @p385 :rule bool-double-not-elim :args (@t276)) % 0.43/0.62 (step @p386 :rule nary_cong :premises (@p347 @p385) :args ((or @t280 (not @t277)))) % 0.43/0.62 (step @p387 :rule cnf_or_neg :args (@t280 1)) % 0.43/0.62 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 0.43/0.62 (step @p389 :rule reordering :premises (@p388) :args ((or @t276 @t280))) % 0.43/0.62 (step @p390 :rule chain_m_resolution :premises (@p389 @p345) :args (@t276 @t281 @t282)) % 0.43/0.62 (step @p391 :rule cnf_or_pos :args (@t296)) % 0.43/0.62 (step @p392 :rule reordering :premises (@p391) :args ((or @t277 @t291 @t295 @t297))) % 0.43/0.62 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p384 @p361) :args (@t297 (@list false true false) (@list @t276 @t291 @t283))) % 0.43/0.62 (assume-push @p400 @t86) % 0.43/0.62 (step @p395 :rule instantiate :premises (@p71) :args ((@list @t275 @t116 @t114))) % 0.43/0.62 (step-pop @p401 :rule scope :premises (@p395)) % 0.43/0.62 (step @p396 :rule process_scope :premises (@p401) :args (@t296)) % 0.43/0.62 (step @p398 :rule implies_elim :premises (@p396)) % 0.43/0.62 (step @p399 false :rule chain_m_resolution :premises (@p398 @p393 @p71) :args (false @t294 (@list @t296 @t86))) % 0.43/0.62 ) % 0.43/0.62 % SZS output end Proof % 0.43/0.62 % cvc5 exiting %------------------------------------------------------------------------------