%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO431^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:38 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO431^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 00:08:09 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.36/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-sort tptp.mu 0) % 0.36/0.61 (declare-const tptp.rel_b (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.36/0.61 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.36/0.61 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.61 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.36/0.61 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.36/0.61 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.36/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.61 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.61 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.61 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.36/0.61 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.61 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.61 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.36/0.61 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.36/0.61 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.36/0.61 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.36/0.61 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.36/0.61 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.36/0.61 (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)))))))) % 0.36/0.61 (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)))))))) % 0.36/0.61 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.36/0.61 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.36/0.61 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.36/0.61 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.36/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.36/0.61 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.36/0.61 (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))))))))))))) % 0.36/0.61 (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)))))) % 0.36/0.61 (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))))))) % 0.36/0.61 (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)))))) % 0.36/0.61 (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))))))) % 0.36/0.61 (define tptp.mbox_b () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_b _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.36/0.61 (define tptp.mdia_b () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_b (_ tptp.mnot _let_2))) _let_1))))) % 0.36/0.62 (define @t1 () (not (_ tptp.mvalid (_ tptp.mnot (_ tptp.mdia_b (_ (_ tptp.mand (_ tptp.mdia_b (_ tptp.mbox_b (_ tptp.mdia_b tptp.p)))) (_ tptp.mbox_b (_ tptp.mnot tptp.p)))))))) % 0.36/0.62 (define @t2 () (@var "Y" tptp.mu)) % 0.36/0.62 (define @t3 () (@var "X" tptp.mu)) % 0.36/0.62 (define @t4 () (@var "W" $$unsorted)) % 0.36/0.62 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.36/0.62 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.62 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.62 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.36/0.62 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.62 (define @t10 () (_ @t9 @t4)) % 0.36/0.62 (define @t11 () (not @t10)) % 0.36/0.62 (define @t12 () (@list @t9 @t4)) % 0.36/0.62 (define @t13 () (lambda @t12 @t11)) % 0.36/0.62 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.36/0.62 (define @t15 () (_ @t14 @t4)) % 0.36/0.62 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.36/0.62 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.62 (define @t18 () (_ tptp.mnot @t14)) % 0.36/0.62 (define @t19 () (_ tptp.mnot @t9)) % 0.36/0.62 (define @t20 () (_ tptp.mor @t19)) % 0.36/0.62 (define @t21 () (@list @t9 @t14 @t17)) % 0.36/0.62 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.36/0.62 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.36/0.62 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.36/0.62 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.36/0.62 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.36/0.62 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.36/0.62 (define @t28 () (_ @t27 @t3)) % 0.36/0.62 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.36/0.62 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.62 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.36/0.62 (define @t32 () (_ @t31 @t30)) % 0.36/0.62 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.36/0.62 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.36/0.62 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.36/0.62 (define @t36 () (@list @t4)) % 0.36/0.62 (define @t37 () (lambda @t36 true)) % 0.36/0.62 (define @t38 () (@var "V" $$unsorted)) % 0.36/0.62 (define @t39 () (_ @t9 @t38)) % 0.36/0.62 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.62 (define @t41 () (@list @t38)) % 0.36/0.62 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.36/0.62 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.36/0.62 (define @t44 () (@var "S" $$unsorted)) % 0.36/0.62 (define @t45 () (_ @t40 @t44)) % 0.36/0.62 (define @t46 () (@list @t44)) % 0.36/0.62 (define @t47 () (@list @t40)) % 0.36/0.62 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.36/0.62 (define @t49 () (@var "T" $$unsorted)) % 0.36/0.62 (define @t50 () (_ @t40 @t49)) % 0.36/0.62 (define @t51 () (_ @t50 @t44)) % 0.36/0.62 (define @t52 () (_ @t45 @t49)) % 0.36/0.62 (define @t53 () (@list @t44 @t49)) % 0.36/0.62 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.36/0.62 (define @t55 () (lambda @t47 @t54)) % 0.36/0.62 (define @t56 () (@list @t49)) % 0.36/0.62 (define @t57 () (lambda @t47 (forall @t46 (exists @t56 @t52)))) % 0.36/0.62 (define @t58 () (@var "U" $$unsorted)) % 0.36/0.62 (define @t59 () (_ @t45 @t58)) % 0.36/0.62 (define @t60 () (_ @t50 @t58)) % 0.36/0.62 (define @t61 () (@list @t44 @t49 @t58)) % 0.36/0.62 (define @t62 () (lambda @t47 (forall @t61 (=> (and @t52 @t60) @t59)))) % 0.36/0.62 (define @t63 () (and @t52 @t59)) % 0.36/0.62 (define @t64 () (lambda @t47 (forall @t61 (=> @t63 @t60)))) % 0.36/0.62 (define @t65 () (= @t49 @t58)) % 0.36/0.62 (define @t66 () (lambda @t47 (forall @t61 (=> @t63 @t65)))) % 0.36/0.62 (define @t67 () (@list @t58)) % 0.36/0.62 (define @t68 () (lambda @t47 (forall @t46 (exists @t56 (and @t52 (forall @t67 (=> @t59 @t65))))))) % 0.36/0.62 (define @t69 () (_ @t40 @t58)) % 0.36/0.62 (define @t70 () (_ @t69 @t49)) % 0.36/0.62 (define @t71 () (lambda @t47 (forall @t61 (=> @t52 (exists @t67 (and @t59 @t70)))))) % 0.36/0.62 (define @t72 () (lambda @t47 (forall @t61 (=> @t63 (or @t60 @t65 @t70))))) % 0.36/0.62 (define @t73 () (lambda @t47 (forall @t61 (=> @t63 (exists @t41 (and (_ @t50 @t38) (_ @t69 @t38))))))) % 0.36/0.62 (define @t74 () (forall @t36 @t10)) % 0.36/0.62 (define @t75 () (@list @t9)) % 0.36/0.62 (define @t76 () (lambda @t75 @t74)) % 0.36/0.62 (define @t77 () (lambda @t75 (forall @t36 @t11))) % 0.36/0.62 (define @t78 () (lambda @t75 (exists @t36 @t10))) % 0.36/0.62 (define @t79 () (lambda @t75 (exists @t36 @t11))) % 0.36/0.62 (define @t80 () (_ (_ tptp.rel_b @t4) @t38)) % 0.36/0.62 (define @t81 () (not @t80)) % 0.36/0.62 (define @t82 () (or @t81 @t39)) % 0.36/0.62 (define @t83 () (forall @t41 @t82)) % 0.36/0.62 (define @t84 () (lambda @t12 @t83)) % 0.36/0.62 (define @t85 () (@list @t9 @t17)) % 0.36/0.62 (define @t86 () (lambda @t85 (_ (_ tptp.mnot (_ tptp.mbox_b @t19)) @t17))) % 0.36/0.62 (define @t87 () (_ @t40 @t49 @t44)) % 0.36/0.62 (define @t88 () (_ @t40 @t44 @t49)) % 0.36/0.62 (define @t89 () (not @t52)) % 0.36/0.62 (define @t90 () (or @t89 @t51)) % 0.36/0.62 (define @t91 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 0.36/0.62 (define @t92 () (not (tptp.p @t91))) % 0.36/0.62 (define @t93 () (@var "BOUND_VARIABLE_8457" $$unsorted)) % 0.36/0.62 (define @t94 () (@list @t91)) % 0.36/0.62 (define @t95 () (not (forall @t94 (or (not (tptp.rel_b @t93 @t91)) @t92)))) % 0.36/0.62 (define @t96 () (@var "BOUND_VARIABLE_8563" $$unsorted)) % 0.36/0.62 (define @t97 () (@list @t93)) % 0.36/0.62 (define @t98 () (not (forall @t97 (or (not (tptp.rel_b @t96 @t93)) @t95)))) % 0.36/0.62 (define @t99 () (not (tptp.rel_b @t38 @t96))) % 0.36/0.62 (define @t100 () (@var "BOUND_VARIABLE_8522" $$unsorted)) % 0.36/0.62 (define @t101 () (not (tptp.p @t100))) % 0.36/0.62 (define @t102 () (@list @t100)) % 0.36/0.62 (define @t103 () (not (forall @t102 (or (not (tptp.rel_b @t38 @t100)) @t101)))) % 0.36/0.62 (define @t104 () (tptp.rel_b @t4 @t38)) % 0.36/0.62 (define @t105 () (not @t104)) % 0.36/0.62 (define @t106 () (or @t105 @t103 @t99 @t98)) % 0.36/0.62 (define @t107 () (forall (@list @t4 @t38 @t96) @t106)) % 0.36/0.62 (define @t108 () (@quantifiers_skolemize @t107 2)) % 0.36/0.62 (define @t109 () (@quantifiers_skolemize @t107 1)) % 0.36/0.62 (define @t110 () (@list @t38 @t96)) % 0.36/0.62 (define @t111 () (forall @t110 @t106)) % 0.36/0.62 (define @t112 () (lambda @t36 @t111)) % 0.36/0.62 (define @t113 () (_ @t112 @t4)) % 0.36/0.62 (define @t114 () (forall @t36 @t113)) % 0.36/0.62 (define @t115 () (_ @t9 @t4)) % 0.36/0.62 (define @t116 () (lambda @t75 (forall @t36 @t115))) % 0.36/0.62 (define @t117 () (not (tptp.rel_b @t17 @t38))) % 0.36/0.62 (define @t118 () (or @t117 @t103 @t99 @t98)) % 0.36/0.62 (define @t119 () (@list @t17)) % 0.36/0.62 (define @t120 () (lambda @t119 (not (forall @t110 @t118)))) % 0.36/0.62 (define @t121 () (_ @t120 @t4)) % 0.36/0.62 (define @t122 () (not @t121)) % 0.36/0.62 (define @t123 () (lambda @t36 @t122)) % 0.36/0.62 (define @t124 () (or @t99 @t98)) % 0.36/0.62 (define @t125 () (or @t117 @t124 @t103)) % 0.36/0.62 (define @t126 () (forall @t110 @t125)) % 0.36/0.62 (define @t127 () (@list @t96)) % 0.36/0.62 (define @t128 () (forall @t127 @t125)) % 0.36/0.62 (define @t129 () (forall @t127 @t124)) % 0.36/0.62 (define @t130 () (@var "BOUND_VARIABLE_8532" $$unsorted)) % 0.36/0.62 (define @t131 () (@list @t130)) % 0.36/0.62 (define @t132 () (or @t117 @t129 @t103)) % 0.36/0.62 (define @t133 () (not (forall @t97 (or (not (tptp.rel_b @t130 @t93)) @t95)))) % 0.36/0.62 (define @t134 () (@list @t130)) % 0.36/0.62 (define @t135 () (forall @t134 (or (not (tptp.rel_b @t38 @t130)) @t133))) % 0.36/0.62 (define @t136 () (or @t117 @t135 @t103)) % 0.36/0.62 (define @t137 () (or @t135 @t103)) % 0.36/0.62 (define @t138 () (tptp.p @t38)) % 0.36/0.62 (define @t139 () (not @t138)) % 0.36/0.62 (define @t140 () (forall @t41 (or @t117 @t139))) % 0.36/0.62 (define @t141 () (@list @t38)) % 0.36/0.62 (define @t142 () (@list @t100)) % 0.36/0.62 (define @t143 () (not @t140)) % 0.36/0.62 (define @t144 () (forall @t97 (or (not (tptp.rel_b @t38 @t93)) @t95))) % 0.36/0.62 (define @t145 () (forall @t41 (or @t117 (not @t144)))) % 0.36/0.62 (define @t146 () (or @t145 @t143)) % 0.36/0.62 (define @t147 () (not @t146)) % 0.36/0.62 (define @t148 () (lambda @t119 @t147)) % 0.36/0.62 (define @t149 () (not (_ @t148 @t38))) % 0.36/0.62 (define @t150 () (or @t117 @t149)) % 0.36/0.62 (define @t151 () (forall @t41 @t150)) % 0.36/0.62 (define @t152 () (not @t151)) % 0.36/0.62 (define @t153 () (lambda @t119 @t152)) % 0.36/0.62 (define @t154 () (_ @t9 @t38)) % 0.36/0.62 (define @t155 () (not @t154)) % 0.36/0.62 (define @t156 () (not (forall @t41 (or @t117 @t155)))) % 0.36/0.62 (define @t157 () (lambda @t85 @t156)) % 0.36/0.62 (define @t158 () (lambda @t36 (forall @t41 (or @t105 @t139)))) % 0.36/0.62 (define @t159 () (_ @t158 @t17)) % 0.36/0.62 (define @t160 () (not @t159)) % 0.36/0.62 (define @t161 () (or @t145 @t160)) % 0.36/0.62 (define @t162 () (not @t161)) % 0.36/0.62 (define @t163 () (lambda @t119 @t162)) % 0.36/0.62 (define @t164 () (not (_ @t14 @t17))) % 0.36/0.62 (define @t165 () (@list @t14 @t17)) % 0.36/0.62 (define @t166 () (_ tptp.p @t38)) % 0.36/0.62 (define @t167 () (not @t166)) % 0.36/0.62 (define @t168 () (or @t105 @t167)) % 0.36/0.62 (define @t169 () (lambda @t36 (not (_ tptp.p @t4)))) % 0.36/0.62 (define @t170 () (_ @t169 @t38)) % 0.36/0.62 (define @t171 () (or @t105 @t170)) % 0.36/0.62 (define @t172 () (forall @t41 @t171)) % 0.36/0.62 (define @t173 () (lambda @t36 @t172)) % 0.36/0.62 (define @t174 () (lambda @t12 (forall @t41 (or @t105 @t154)))) % 0.36/0.62 (define @t175 () (_ @t13 tptp.p)) % 0.36/0.62 (define @t176 () (not @t145)) % 0.36/0.62 (define @t177 () (lambda @t119 @t176)) % 0.36/0.62 (define @t178 () (_ @t177 @t17)) % 0.36/0.62 (define @t179 () (not @t178)) % 0.36/0.62 (define @t180 () (or @t179 @t164)) % 0.36/0.62 (define @t181 () (not @t180)) % 0.36/0.62 (define @t182 () (lambda @t165 @t181)) % 0.36/0.62 (define @t183 () (not (or (not (_ @t9 @t17)) @t164))) % 0.36/0.62 (define @t184 () (lambda @t21 @t183)) % 0.36/0.62 (define @t185 () (not (forall @t94 (or (not (tptp.rel_b @t38 @t91)) @t92)))) % 0.36/0.62 (define @t186 () (forall @t41 (or @t105 @t185))) % 0.36/0.62 (define @t187 () (lambda @t36 @t186)) % 0.36/0.62 (define @t188 () (not (_ @t187 @t38))) % 0.36/0.62 (define @t189 () (or @t117 @t188)) % 0.36/0.62 (define @t190 () (forall @t41 @t189)) % 0.36/0.62 (define @t191 () (not @t190)) % 0.36/0.62 (define @t192 () (lambda @t119 @t191)) % 0.36/0.62 (define @t193 () (@list @t91)) % 0.36/0.62 (define @t194 () (lambda @t119 @t143)) % 0.36/0.62 (define @t195 () (or @t105 (_ @t194 @t38))) % 0.36/0.62 (define @t196 () (forall @t41 @t195)) % 0.36/0.62 (define @t197 () (lambda @t36 @t196)) % 0.36/0.62 (define @t198 () (_ @t157 tptp.p)) % 0.36/0.62 (define @t199 () (forall @t41 (or @t105 @t155))) % 0.36/0.62 (define @t200 () (lambda @t36 @t199)) % 0.36/0.62 (define @t201 () (_ @t200 @t4)) % 0.36/0.62 (define @t202 () (not @t201)) % 0.36/0.62 (define @t203 () (lambda @t36 @t202)) % 0.36/0.62 (define @t204 () (not @t39)) % 0.36/0.62 (define @t205 () (or @t105 @t204)) % 0.36/0.62 (define @t206 () (lambda @t36 @t11)) % 0.36/0.62 (define @t207 () (_ @t206 @t38)) % 0.36/0.62 (define @t208 () (or @t105 @t207)) % 0.36/0.62 (define @t209 () (forall @t41 @t208)) % 0.36/0.62 (define @t210 () (lambda @t36 @t209)) % 0.36/0.62 (define @t211 () (not @t15)) % 0.36/0.62 (define @t212 () (or @t11 @t211)) % 0.36/0.62 (define @t213 () (lambda @t36 @t212)) % 0.36/0.62 (define @t214 () (_ @t213 @t4)) % 0.36/0.62 (define @t215 () (not @t214)) % 0.36/0.62 (define @t216 () (lambda @t36 @t215)) % 0.36/0.62 (define @t217 () (lambda @t36 @t211)) % 0.36/0.62 (define @t218 () (_ @t217 @t4)) % 0.36/0.62 (define @t219 () (or @t11 @t218)) % 0.36/0.62 (define @t220 () (lambda @t36 @t219)) % 0.36/0.62 (define @t221 () (@list @t14 @t4)) % 0.36/0.62 (define @t222 () (_ @t206 @t4)) % 0.36/0.62 (define @t223 () (or @t222 @t15)) % 0.36/0.62 (define @t224 () (lambda @t221 @t223)) % 0.36/0.62 (define @t225 () (tptp.rel_b @t109 @t108)) % 0.36/0.62 (define @t226 () (forall @t97 (or (not (tptp.rel_b @t108 @t93)) @t95))) % 0.36/0.62 (define @t227 () (not @t226)) % 0.36/0.62 (define @t228 () (not @t225)) % 0.36/0.62 (define @t229 () (forall @t102 (or (not (tptp.rel_b @t109 @t100)) @t101))) % 0.36/0.62 (define @t230 () (not @t229)) % 0.36/0.62 (define @t231 () (or (not (tptp.rel_b (@quantifiers_skolemize @t107 0) @t109)) @t230 @t228 @t227)) % 0.36/0.62 (define @t232 () (@list true)) % 0.36/0.62 (define @t233 () (@list @t231)) % 0.36/0.62 (define @t234 () (tptp.rel_b @t108 @t109)) % 0.36/0.62 (define @t235 () (or @t228 @t234)) % 0.36/0.62 (define @t236 () (forall @t94 (or (not (tptp.rel_b @t109 @t91)) @t92))) % 0.36/0.62 (define @t237 () (not @t236)) % 0.36/0.62 (define @t238 () (not @t234)) % 0.36/0.62 (define @t239 () (or @t238 @t237)) % 0.36/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.36/0.62 (assume @p2 (_ tptp.mreflexive tptp.rel_b)) % 0.36/0.62 (assume @p3 (_ tptp.msymmetric tptp.rel_b)) % 0.36/0.62 (assume @p4 @t1) % 0.36/0.62 (assume @p5 true) % 0.36/0.62 (step @p6 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.36/0.62 (step @p7 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.36/0.62 (step @p8 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.36/0.62 (step @p9 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.36/0.62 (step @p10 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.36/0.62 (step @p11 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.36/0.62 (step @p12 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.36/0.62 (step @p13 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.36/0.62 (step @p14 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.36/0.62 (step @p15 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.36/0.62 (step @p16 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.36/0.62 (step @p17 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.36/0.62 (step @p18 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.36/0.62 (step @p19 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.36/0.62 (step @p20 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.36/0.62 (step @p21 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.36/0.62 (step @p22 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.36/0.62 (step @p23 (= tptp.msymmetric @t55) :rule refl :args (@t55)) % 0.36/0.62 (step @p24 (= tptp.mserial @t57) :rule refl :args (@t57)) % 0.36/0.62 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.36/0.62 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.36/0.62 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.36/0.62 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.36/0.62 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.36/0.62 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.36/0.62 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.36/0.62 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.36/0.62 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.36/0.62 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.36/0.62 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.36/0.62 (step @p36 (= tptp.mbox_b @t84) :rule refl :args (@t84)) % 0.36/0.62 (step @p37 (= tptp.mdia_b @t86) :rule refl :args (@t86)) % 0.36/0.62 (step @p38 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t53 (or (not @t88) @t87))) tptp.rel_b) (forall @t53 (or (not (tptp.rel_b @t44 @t49)) (tptp.rel_b @t49 @t44)))))) % 0.36/0.62 (step @p39 :rule refl :args (tptp.rel_b)) % 0.36/0.62 (step @p40 :rule refl :args (@t87)) % 0.36/0.62 (step @p41 :rule refl :args (@t51)) % 0.36/0.62 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t51 @t87))) % 0.36/0.62 (step @p43 :rule symm :premises (@p42)) % 0.36/0.62 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.36/0.62 (step @p45 :rule refl :args (@t88)) % 0.36/0.62 (step @p46 :rule refl :args (@t52)) % 0.36/0.62 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t52 @t88))) % 0.36/0.62 (step @p48 :rule symm :premises (@p47)) % 0.36/0.62 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.36/0.62 (step @p50 :rule cong :premises (@p49) :args (@t89)) % 0.36/0.62 (step @p51 :rule nary_cong :premises (@p50 @p44) :args (@t90)) % 0.36/0.62 (step @p52 :rule cong :premises (@p51) :args ((forall @t53 @t90))) % 0.36/0.62 (step @p53 :rule bool-impl-elim :args (@t52 @t51)) % 0.36/0.62 (step @p54 :rule cong :premises (@p53) :args (@t54)) % 0.36/0.62 (step @p55 :rule trans :premises (@p54 @p52)) % 0.36/0.62 (step @p56 :rule cong :premises (@p55) :args (@t55)) % 0.36/0.62 (step @p57 :rule trans :premises (@p23 @p56)) % 0.36/0.62 (step @p58 :rule ho_cong :premises (@p57 @p39)) % 0.36/0.62 (step @p59 :rule trans :premises (@p58 @p38)) % 0.36/0.62 (step @p60 :rule eq_resolve :premises (@p3 @p59)) % 0.36/0.62 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t109 @t108))) % 0.36/0.62 (step @p62 :rule quant-merge-prenex :args ((= (forall @t36 @t111) @t107))) % 0.36/0.62 (step @p63 :rule beta-reduce :args ((= @t113 @t111))) % 0.36/0.62 (step @p64 :rule cong :premises (@p63) :args (@t114)) % 0.36/0.62 (step @p65 :rule trans :premises (@p64 @p62)) % 0.36/0.62 (step @p66 :rule beta-reduce :args ((= (_ @t116 @t112) @t114))) % 0.36/0.62 (step @p67 :rule trans :premises (@p66 @p65)) % 0.36/0.62 (step @p68 :rule bool-double-not-elim :args (@t111)) % 0.36/0.62 (step @p69 :rule beta-reduce :args ((= @t121 (not @t111)))) % 0.36/0.62 (step @p70 :rule cong :premises (@p69) :args (@t122)) % 0.36/0.62 (step @p71 :rule trans :premises (@p70 @p68)) % 0.36/0.62 (step @p72 :rule cong :premises (@p71) :args (@t123)) % 0.36/0.62 (step @p73 :rule beta-reduce :args ((= (_ @t13 @t120) @t123))) % 0.36/0.62 (step @p74 :rule trans :premises (@p73 @p72)) % 0.36/0.62 (step @p75 :rule aci_norm :args ((= @t125 @t118))) % 0.36/0.62 (step @p76 :rule cong :premises (@p75) :args (@t126)) % 0.36/0.62 (step @p77 :rule quant-merge-prenex :args ((= (forall @t41 @t128) @t126))) % 0.36/0.62 (step @p78 :rule refl :args (@t103)) % 0.36/0.62 (step @p79 :rule alpha_equiv :args (@t129 (@list @t96) @t131)) % 0.36/0.62 (step @p80 :rule refl :args (@t117)) % 0.36/0.62 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t132)) % 0.36/0.62 (step @p82 :rule quant-miniscope-or :args ((= @t128 @t132))) % 0.36/0.62 (step @p83 :rule trans :premises (@p82 @p81)) % 0.36/0.62 (step @p84 :rule symm :premises (@p83)) % 0.36/0.62 (step @p85 :rule cong :premises (@p84) :args ((forall @t41 @t136))) % 0.36/0.62 (step @p86 :rule trans :premises (@p85 @p77)) % 0.36/0.62 (step @p87 :rule trans :premises (@p86 @p76)) % 0.36/0.62 (step @p88 :rule aci_norm :args ((= (or @t117 @t137) @t136))) % 0.36/0.62 (step @p89 :rule bool-double-not-elim :args (@t137)) % 0.36/0.62 (step @p90 :rule beta-reduce :args ((= (_ (lambda @t119 (not (or (forall @t134 (or (not (tptp.rel_b @t17 @t130)) @t133)) (not (forall @t102 (or (not (tptp.rel_b @t17 @t100)) @t101)))))) @t38) (not @t137)))) % 0.36/0.62 (step @p91 :rule refl :args (@t38)) % 0.36/0.62 (step @p92 :rule alpha_equiv :args (@t140 @t141 @t142)) % 0.36/0.62 (step @p93 :rule cong :premises (@p92) :args (@t143)) % 0.36/0.62 (step @p94 :rule alpha_equiv :args (@t145 @t141 @t131)) % 0.36/0.62 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t146)) % 0.36/0.62 (step @p96 :rule cong :premises (@p95) :args (@t147)) % 0.36/0.62 (step @p97 :rule cong :premises (@p96) :args (@t148)) % 0.36/0.62 (step @p98 :rule ho_cong :premises (@p97 @p91)) % 0.36/0.62 (step @p99 :rule trans :premises (@p98 @p90)) % 0.36/0.62 (step @p100 :rule cong :premises (@p99) :args (@t149)) % 0.36/0.62 (step @p101 :rule trans :premises (@p100 @p89)) % 0.36/0.62 (step @p102 :rule refl :args (@t117)) % 0.36/0.62 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t150)) % 0.36/0.62 (step @p104 :rule trans :premises (@p103 @p88)) % 0.36/0.62 (step @p105 :rule cong :premises (@p104) :args (@t151)) % 0.36/0.62 (step @p106 :rule trans :premises (@p105 @p87)) % 0.36/0.62 (step @p107 :rule cong :premises (@p106) :args (@t152)) % 0.36/0.62 (step @p108 :rule cong :premises (@p107) :args (@t153)) % 0.36/0.62 (step @p109 :rule beta-reduce :args ((= (_ @t157 @t148) @t153))) % 0.36/0.62 (step @p110 :rule trans :premises (@p109 @p108)) % 0.36/0.62 (step @p111 :rule beta-reduce :args ((= @t159 @t140))) % 0.36/0.62 (step @p112 :rule cong :premises (@p111) :args (@t160)) % 0.36/0.62 (step @p113 :rule refl :args (@t145)) % 0.36/0.62 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t161)) % 0.36/0.62 (step @p115 :rule cong :premises (@p114) :args (@t162)) % 0.36/0.62 (step @p116 :rule cong :premises (@p115) :args (@t163)) % 0.36/0.62 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@t216))) % 0.36/0.62 (step @p251 :rule trans :premises (@p250 @p249)) % 0.36/0.62 (step @p252 :rule beta-reduce :args ((= @t218 @t211))) % 0.36/0.62 (step @p253 :rule refl :args (@t11)) % 0.36/0.62 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t219)) % 0.36/0.62 (step @p255 :rule cong :premises (@p254) :args (@t220)) % 0.36/0.62 (step @p256 :rule beta-reduce :args ((= (_ (lambda @t221 (or @t11 @t15)) @t217) @t220))) % 0.36/0.62 (step @p257 :rule trans :premises (@p256 @p255)) % 0.36/0.62 (step @p258 :rule beta-reduce :args ((= (_ @t13 @t14) @t217))) % 0.36/0.62 (step @p259 :rule refl :args (@t15)) % 0.36/0.62 (step @p260 :rule beta-reduce :args ((= @t222 @t11))) % 0.36/0.62 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t223)) % 0.36/0.62 (step @p262 :rule cong :premises (@p261) :args (@t224)) % 0.36/0.62 (step @p263 :rule beta-reduce :args ((= (_ @t16 @t206) @t224))) % 0.36/0.62 (step @p264 :rule trans :premises (@p263 @p262)) % 0.36/0.62 (step @p265 :rule 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% 0.36/0.62 (step @p282 :rule trans :premises (@p10 @p281)) % 0.36/0.62 (step @p283 :rule ho_cong :premises (@p282 @p245)) % 0.36/0.62 (step @p284 :rule ho_cong :premises (@p283 @p210)) % 0.36/0.62 (step @p285 :rule ho_cong :premises (@p242 @p284)) % 0.36/0.62 (step @p286 :rule ho_cong :premises (@p8 @p285)) % 0.36/0.62 (step @p287 :rule refl :args (@t115)) % 0.36/0.62 (step @p288 :rule refl :args (@t10)) % 0.36/0.62 (step @p289 :rule cong :premises (@p288 @p287) :args ((= @t10 @t115))) % 0.36/0.62 (step @p290 :rule symm :premises (@p289)) % 0.36/0.62 (step @p291 :rule eq_resolve :premises (@p288 @p290)) % 0.36/0.62 (step @p292 :rule cong :premises (@p291) :args (@t74)) % 0.36/0.62 (step @p293 :rule cong :premises (@p292) :args (@t76)) % 0.36/0.62 (step @p294 :rule trans :premises (@p32 @p293)) % 0.36/0.62 (step @p295 :rule ho_cong :premises (@p294 @p286)) % 0.36/0.62 (step @p296 :rule cong :premises (@p295) :args (@t1)) % 0.36/0.62 (step @p297 :rule trans :premises (@p296 @p192)) % 0.36/0.62 (step @p298 :rule eq_resolve :premises (@p4 @p297)) % 0.36/0.62 (step @p299 :rule skolemize :premises (@p298)) % 0.36/0.62 (step @p300 :rule bool-double-not-elim :args (@t225)) % 0.36/0.62 (step @p301 :rule refl :args (@t231)) % 0.36/0.62 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t231 (not @t228)))) % 0.36/0.62 (step @p303 :rule cnf_or_neg :args (@t231 2)) % 0.36/0.62 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.36/0.62 (step @p305 :rule reordering :premises (@p304) :args ((or @t225 @t231))) % 0.36/0.62 (step @p306 :rule chain_m_resolution :premises (@p305 @p299) :args (@t225 @t232 @t233)) % 0.36/0.62 (step @p307 :rule cnf_or_pos :args (@t235)) % 0.36/0.62 (step @p308 :rule reordering :premises (@p307) :args ((or @t228 @t234 (not @t235)))) % 0.36/0.62 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p61) :args (@t234 (@list false false) (@list @t225 @t235))) % 0.36/0.62 (step @p310 :rule bool-double-not-elim :args (@t229)) % 0.36/0.62 (step @p311 :rule nary_cong :premises (@p301 @p310) :args ((or @t231 (not @t230)))) % 0.36/0.62 (step @p312 :rule cnf_or_neg :args (@t231 1)) % 0.36/0.62 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 0.36/0.62 (step @p314 :rule reordering :premises (@p313) :args ((or @t229 @t231))) % 0.36/0.62 (step @p315 :rule chain_m_resolution :premises (@p314 @p299) :args (@t229 @t232 @t233)) % 0.36/0.62 (step @p316 :rule alpha_equiv :args (@t229 @t142 @t193)) % 0.36/0.62 (step @p317 :rule equiv_elim1 :premises (@p316)) % 0.36/0.62 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t236 (@list false) (@list @t229))) % 0.36/0.62 (step @p319 :rule bool-double-not-elim :args (@t226)) % 0.36/0.62 (step @p320 :rule nary_cong :premises (@p301 @p319) :args ((or @t231 (not @t227)))) % 0.36/0.62 (step @p321 :rule cnf_or_neg :args (@t231 3)) % 0.36/0.62 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 0.36/0.62 (step @p323 :rule reordering :premises (@p322) :args ((or @t226 @t231))) % 0.36/0.62 (step @p324 :rule chain_m_resolution :premises (@p323 @p299) :args (@t226 @t232 @t233)) % 0.36/0.62 (step @p325 :rule instantiate :premises (@p324) :args ((@list @t109))) % 0.36/0.62 (step @p326 :rule cnf_or_pos :args (@t239)) % 0.36/0.62 (step @p327 :rule reordering :premises (@p326) :args ((or @t238 @t237 (not @t239)))) % 0.36/0.62 (step @p328 false :rule chain_m_resolution :premises (@p327 @p325 @p318 @p309) :args (false (@list false false false) (@list @t239 @t236 @t234))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------