%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO449^1 : 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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:40 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO449^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:07:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.45/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-sort tptp.mu 0) % 0.45/0.63 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.q (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.45/0.63 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.45/0.63 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.63 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.45/0.63 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.63 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.45/0.63 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.45/0.63 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.45/0.63 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.45/0.63 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.45/0.63 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.63 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.63 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.45/0.63 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.45/0.63 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.45/0.63 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.45/0.63 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.45/0.63 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.45/0.63 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.63 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.63 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.45/0.63 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.45/0.63 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.45/0.63 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.45/0.63 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.45/0.63 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.45/0.63 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.45/0.63 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.45/0.63 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.45/0.63 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.45/0.63 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.45/0.63 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.45/0.63 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.45/0.63 (define @t1 () (not (_ tptp.mvalid (_ tptp.mbox_s5 (_ (_ tptp.mequiv (_ tptp.mbox_s5 (_ (_ tptp.mimplies (_ tptp.mdia_s5 tptp.p)) tptp.q))) (_ tptp.mbox_s5 (_ (_ tptp.mimplies tptp.p) (_ tptp.mbox_s5 tptp.q)))))))) % 0.45/0.63 (define @t2 () (@var "Y" tptp.mu)) % 0.45/0.63 (define @t3 () (@var "X" tptp.mu)) % 0.45/0.63 (define @t4 () (@var "W" $$unsorted)) % 0.45/0.63 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.45/0.63 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.45/0.63 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.45/0.63 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.45/0.63 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.45/0.63 (define @t10 () (_ @t9 @t4)) % 0.45/0.63 (define @t11 () (not @t10)) % 0.45/0.63 (define @t12 () (@list @t9 @t4)) % 0.45/0.63 (define @t13 () (lambda @t12 @t11)) % 0.45/0.63 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.45/0.63 (define @t15 () (_ @t14 @t4)) % 0.45/0.63 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.45/0.63 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.45/0.63 (define @t18 () (_ tptp.mnot @t14)) % 0.45/0.63 (define @t19 () (_ tptp.mnot @t9)) % 0.45/0.63 (define @t20 () (_ tptp.mor @t19)) % 0.45/0.63 (define @t21 () (@list @t9 @t14 @t17)) % 0.45/0.63 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.45/0.63 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.45/0.63 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.45/0.63 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.45/0.63 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.45/0.63 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.45/0.63 (define @t28 () (_ @t27 @t3)) % 0.45/0.63 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.45/0.63 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.45/0.63 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.45/0.63 (define @t32 () (_ @t31 @t30)) % 0.45/0.63 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.45/0.63 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.45/0.63 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.45/0.63 (define @t36 () (@list @t4)) % 0.45/0.63 (define @t37 () (lambda @t36 true)) % 0.45/0.63 (define @t38 () (@var "V" $$unsorted)) % 0.45/0.63 (define @t39 () (_ @t9 @t38)) % 0.45/0.63 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.45/0.63 (define @t41 () (@list @t38)) % 0.45/0.63 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.45/0.63 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.45/0.63 (define @t44 () (@var "S" $$unsorted)) % 0.45/0.63 (define @t45 () (_ @t40 @t44)) % 0.45/0.63 (define @t46 () (@list @t44)) % 0.45/0.63 (define @t47 () (@list @t40)) % 0.45/0.63 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.45/0.63 (define @t49 () (@var "T" $$unsorted)) % 0.45/0.63 (define @t50 () (_ @t40 @t49)) % 0.45/0.63 (define @t51 () (_ @t50 @t44)) % 0.45/0.63 (define @t52 () (_ @t45 @t49)) % 0.45/0.63 (define @t53 () (@list @t44 @t49)) % 0.45/0.63 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.45/0.63 (define @t55 () (lambda @t47 @t54)) % 0.45/0.63 (define @t56 () (@list @t49)) % 0.45/0.63 (define @t57 () (lambda @t47 (forall @t46 (exists @t56 @t52)))) % 0.45/0.63 (define @t58 () (@var "U" $$unsorted)) % 0.45/0.63 (define @t59 () (_ @t45 @t58)) % 0.45/0.63 (define @t60 () (_ @t50 @t58)) % 0.45/0.63 (define @t61 () (and @t52 @t60)) % 0.45/0.63 (define @t62 () (@list @t44 @t49 @t58)) % 0.45/0.63 (define @t63 () (forall @t62 (=> @t61 @t59))) % 0.45/0.63 (define @t64 () (lambda @t47 @t63)) % 0.45/0.63 (define @t65 () (and @t52 @t59)) % 0.45/0.63 (define @t66 () (lambda @t47 (forall @t62 (=> @t65 @t60)))) % 0.45/0.63 (define @t67 () (= @t49 @t58)) % 0.45/0.63 (define @t68 () (lambda @t47 (forall @t62 (=> @t65 @t67)))) % 0.45/0.63 (define @t69 () (@list @t58)) % 0.45/0.63 (define @t70 () (lambda @t47 (forall @t46 (exists @t56 (and @t52 (forall @t69 (=> @t59 @t67))))))) % 0.45/0.63 (define @t71 () (_ @t40 @t58)) % 0.45/0.63 (define @t72 () (_ @t71 @t49)) % 0.45/0.63 (define @t73 () (lambda @t47 (forall @t62 (=> @t52 (exists @t69 (and @t59 @t72)))))) % 0.45/0.63 (define @t74 () (lambda @t47 (forall @t62 (=> @t65 (or @t60 @t67 @t72))))) % 0.45/0.63 (define @t75 () (lambda @t47 (forall @t62 (=> @t65 (exists @t41 (and (_ @t50 @t38) (_ @t71 @t38))))))) % 0.45/0.63 (define @t76 () (forall @t36 @t10)) % 0.45/0.63 (define @t77 () (@list @t9)) % 0.45/0.63 (define @t78 () (lambda @t77 @t76)) % 0.45/0.63 (define @t79 () (lambda @t77 (forall @t36 @t11))) % 0.45/0.63 (define @t80 () (lambda @t77 (exists @t36 @t10))) % 0.45/0.63 (define @t81 () (lambda @t77 (exists @t36 @t11))) % 0.45/0.63 (define @t82 () (_ (_ tptp.rel_s5 @t4) @t38)) % 0.45/0.63 (define @t83 () (not @t82)) % 0.45/0.63 (define @t84 () (or @t83 @t39)) % 0.45/0.63 (define @t85 () (forall @t41 @t84)) % 0.45/0.63 (define @t86 () (lambda @t12 @t85)) % 0.45/0.63 (define @t87 () (@list @t9 @t17)) % 0.45/0.63 (define @t88 () (lambda @t87 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t19)) @t17))) % 0.45/0.63 (define @t89 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 0.45/0.63 (define @t90 () (not (tptp.p @t89))) % 0.45/0.63 (define @t91 () (@var "BOUND_VARIABLE_8595" $$unsorted)) % 0.45/0.63 (define @t92 () (not (tptp.rel_s5 @t91 @t89))) % 0.45/0.63 (define @t93 () (tptp.q @t91)) % 0.45/0.63 (define @t94 () (@var "BOUND_VARIABLE_8662" $$unsorted)) % 0.45/0.63 (define @t95 () (not (tptp.p @t94))) % 0.45/0.63 (define @t96 () (@var "BOUND_VARIABLE_8660" $$unsorted)) % 0.45/0.63 (define @t97 () (not (tptp.rel_s5 @t96 @t94))) % 0.45/0.63 (define @t98 () (tptp.q @t96)) % 0.45/0.63 (define @t99 () (not (tptp.rel_s5 @t38 @t96))) % 0.45/0.63 (define @t100 () (@var "BOUND_VARIABLE_8557" $$unsorted)) % 0.45/0.63 (define @t101 () (tptp.q @t100)) % 0.45/0.63 (define @t102 () (@var "BOUND_VARIABLE_8605" $$unsorted)) % 0.45/0.63 (define @t103 () (not (tptp.rel_s5 @t102 @t100))) % 0.45/0.63 (define @t104 () (not (tptp.p @t102))) % 0.45/0.63 (define @t105 () (@list @t102 @t100)) % 0.45/0.63 (define @t106 () (forall @t105 (or (not (tptp.rel_s5 @t38 @t102)) @t104 @t103 @t101))) % 0.45/0.63 (define @t107 () (not @t106)) % 0.45/0.63 (define @t108 () (or @t107 @t99 @t98 @t97 @t95)) % 0.45/0.63 (define @t109 () (@var "BOUND_VARIABLE_8649" $$unsorted)) % 0.45/0.63 (define @t110 () (tptp.q @t109)) % 0.45/0.63 (define @t111 () (@var "BOUND_VARIABLE_8647" $$unsorted)) % 0.45/0.63 (define @t112 () (not (tptp.rel_s5 @t111 @t109))) % 0.45/0.63 (define @t113 () (not (tptp.p @t111))) % 0.45/0.63 (define @t114 () (not (tptp.rel_s5 @t38 @t111))) % 0.45/0.63 (define @t115 () (@list @t91 @t89)) % 0.45/0.63 (define @t116 () (forall @t115 (or (not (tptp.rel_s5 @t38 @t91)) @t93 @t92 @t90))) % 0.45/0.63 (define @t117 () (not @t116)) % 0.45/0.63 (define @t118 () (or @t117 @t114 @t113 @t112 @t110)) % 0.45/0.63 (define @t119 () (tptp.rel_s5 @t4 @t38)) % 0.45/0.63 (define @t120 () (not @t119)) % 0.45/0.63 (define @t121 () (or @t120 (and @t118 @t108))) % 0.45/0.63 (define @t122 () (forall (@list @t4 @t38 @t111 @t109 @t96 @t94) @t121)) % 0.45/0.63 (define @t123 () (@quantifiers_skolemize @t122 1)) % 0.45/0.63 (define @t124 () (forall @t115 (or (not (tptp.rel_s5 @t123 @t91)) @t93 @t92 @t90))) % 0.45/0.63 (define @t125 () (@quantifiers_skolemize @t122 2)) % 0.45/0.63 (define @t126 () (@quantifiers_skolemize @t122 3)) % 0.45/0.63 (define @t127 () (tptp.p @t125)) % 0.45/0.63 (define @t128 () (not @t127)) % 0.45/0.63 (define @t129 () (tptp.rel_s5 @t126 @t125)) % 0.45/0.63 (define @t130 () (not @t129)) % 0.45/0.63 (define @t131 () (tptp.q @t126)) % 0.45/0.63 (define @t132 () (tptp.rel_s5 @t123 @t126)) % 0.45/0.63 (define @t133 () (not @t132)) % 0.45/0.63 (define @t134 () (or @t133 @t131 @t130 @t128)) % 0.45/0.63 (define @t135 () (@quantifiers_skolemize @t122 5)) % 0.45/0.63 (define @t136 () (@quantifiers_skolemize @t122 4)) % 0.45/0.63 (define @t137 () (@list @t136 @t135)) % 0.45/0.63 (define @t138 () (tptp.p @t135)) % 0.45/0.63 (define @t139 () (not @t138)) % 0.45/0.63 (define @t140 () (tptp.rel_s5 @t136 @t135)) % 0.45/0.63 (define @t141 () (not @t140)) % 0.45/0.63 (define @t142 () (tptp.q @t136)) % 0.45/0.63 (define @t143 () (tptp.rel_s5 @t123 @t136)) % 0.45/0.63 (define @t144 () (not @t143)) % 0.45/0.63 (define @t145 () (or @t144 @t142 @t141 @t139)) % 0.45/0.63 (define @t146 () (forall @t105 (or (not (tptp.rel_s5 @t123 @t102)) @t104 @t103 @t101))) % 0.45/0.63 (define @t147 () (not @t146)) % 0.45/0.63 (define @t148 () (or @t147 @t144 @t142 @t141 @t139)) % 0.45/0.63 (define @t149 () (not @t145)) % 0.45/0.63 (define @t150 () (@list @t38 @t111 @t109 @t96 @t94)) % 0.45/0.63 (define @t151 () (forall @t150 @t121)) % 0.45/0.63 (define @t152 () (lambda @t36 @t151)) % 0.45/0.63 (define @t153 () (_ @t152 @t4)) % 0.45/0.63 (define @t154 () (forall @t36 @t153)) % 0.45/0.63 (define @t155 () (_ @t9 @t4)) % 0.45/0.63 (define @t156 () (lambda @t77 (forall @t36 @t155))) % 0.45/0.63 (define @t157 () (or @t99 @t98 @t97 @t95)) % 0.45/0.63 (define @t158 () (or @t107 @t157)) % 0.45/0.63 (define @t159 () (or @t114 @t113 @t112 @t110)) % 0.45/0.63 (define @t160 () (or @t117 @t159)) % 0.45/0.63 (define @t161 () (and @t160 @t158)) % 0.45/0.63 (define @t162 () (or @t120 @t161)) % 0.45/0.63 (define @t163 () (forall @t150 @t162)) % 0.45/0.63 (define @t164 () (@list @t111 @t109 @t96 @t94)) % 0.45/0.63 (define @t165 () (forall @t164 @t162)) % 0.45/0.63 (define @t166 () (@list @t96 @t94)) % 0.45/0.63 (define @t167 () (forall @t166 @t157)) % 0.45/0.63 (define @t168 () (or @t107 @t167)) % 0.45/0.63 (define @t169 () (forall @t166 @t158)) % 0.45/0.63 (define @t170 () (forall @t164 @t158)) % 0.45/0.63 (define @t171 () (@list @t111 @t109)) % 0.45/0.63 (define @t172 () (forall @t171 @t159)) % 0.45/0.63 (define @t173 () (or @t117 @t172)) % 0.45/0.63 (define @t174 () (forall @t171 @t160)) % 0.45/0.63 (define @t175 () (forall @t164 @t160)) % 0.45/0.63 (define @t176 () (and @t175 @t170)) % 0.45/0.63 (define @t177 () (forall @t164 @t161)) % 0.45/0.63 (define @t178 () (or @t120 @t177)) % 0.45/0.63 (define @t179 () (or @t107 @t116)) % 0.45/0.63 (define @t180 () (or @t117 @t106)) % 0.45/0.63 (define @t181 () (not @t179)) % 0.45/0.63 (define @t182 () (not @t180)) % 0.45/0.63 (define @t183 () (not (or @t182 @t181))) % 0.45/0.63 (define @t184 () (or @t120 @t183)) % 0.45/0.63 (define @t185 () (forall @t115 (or (not (tptp.rel_s5 @t17 @t91)) @t93 @t92 @t90))) % 0.45/0.63 (define @t186 () (forall @t105 (or (not (tptp.rel_s5 @t17 @t102)) @t104 @t103 @t101))) % 0.45/0.63 (define @t187 () (@list @t17)) % 0.45/0.63 (define @t188 () (not (tptp.rel_s5 @t38 @t89))) % 0.45/0.63 (define @t189 () (tptp.q @t38)) % 0.45/0.63 (define @t190 () (not (tptp.rel_s5 @t17 @t38))) % 0.45/0.63 (define @t191 () (@list @t38 @t89)) % 0.45/0.63 (define @t192 () (forall @t191 (or @t190 @t189 @t188 @t90))) % 0.45/0.63 (define @t193 () (@list @t38)) % 0.45/0.63 (define @t194 () (not (tptp.rel_s5 @t38 @t100))) % 0.45/0.63 (define @t195 () (tptp.p @t38)) % 0.45/0.63 (define @t196 () (not @t195)) % 0.45/0.63 (define @t197 () (@list @t38 @t100)) % 0.45/0.63 (define @t198 () (forall @t197 (or @t190 @t196 @t194 @t101))) % 0.45/0.63 (define @t199 () (not @t198)) % 0.45/0.63 (define @t200 () (or @t199 @t192)) % 0.45/0.63 (define @t201 () (not @t200)) % 0.45/0.63 (define @t202 () (not @t192)) % 0.45/0.63 (define @t203 () (or @t202 @t198)) % 0.45/0.63 (define @t204 () (not @t203)) % 0.45/0.63 (define @t205 () (or @t204 @t201)) % 0.45/0.63 (define @t206 () (not @t205)) % 0.45/0.63 (define @t207 () (lambda @t187 @t206)) % 0.45/0.63 (define @t208 () (or @t120 (_ @t207 @t38))) % 0.45/0.63 (define @t209 () (forall @t41 @t208)) % 0.45/0.63 (define @t210 () (lambda @t36 @t209)) % 0.45/0.63 (define @t211 () (_ @t9 @t38)) % 0.45/0.63 (define @t212 () (lambda @t12 (forall @t41 (or @t120 @t211)))) % 0.45/0.63 (define @t213 () (or @t120 @t196 @t194 @t101)) % 0.45/0.63 (define @t214 () (lambda @t36 (forall @t197 @t213))) % 0.45/0.63 (define @t215 () (_ @t214 @t17)) % 0.45/0.63 (define @t216 () (not @t215)) % 0.45/0.63 (define @t217 () (or @t216 @t192)) % 0.45/0.63 (define @t218 () (not @t217)) % 0.45/0.63 (define @t219 () (or @t202 @t215)) % 0.45/0.63 (define @t220 () (not @t219)) % 0.45/0.63 (define @t221 () (or @t220 @t218)) % 0.45/0.63 (define @t222 () (not @t221)) % 0.45/0.63 (define @t223 () (lambda @t187 @t222)) % 0.45/0.63 (define @t224 () (_ @t14 @t17)) % 0.45/0.63 (define @t225 () (not @t224)) % 0.45/0.63 (define @t226 () (@list @t14 @t17)) % 0.45/0.63 (define @t227 () (or @t194 @t101)) % 0.45/0.63 (define @t228 () (or @t120 @t196 @t227)) % 0.45/0.63 (define @t229 () (forall @t197 @t228)) % 0.45/0.63 (define @t230 () (@list @t100)) % 0.45/0.63 (define @t231 () (forall @t230 @t228)) % 0.45/0.63 (define @t232 () (forall @t230 @t227)) % 0.45/0.63 (define @t233 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 0.45/0.63 (define @t234 () (@list @t233)) % 0.45/0.63 (define @t235 () (or @t120 @t196 @t232)) % 0.45/0.63 (define @t236 () (tptp.q @t233)) % 0.45/0.63 (define @t237 () (@list @t233)) % 0.45/0.63 (define @t238 () (forall @t237 (or (not (tptp.rel_s5 @t38 @t233)) @t236))) % 0.45/0.63 (define @t239 () (_ tptp.p @t38)) % 0.45/0.63 (define @t240 () (not @t239)) % 0.45/0.63 (define @t241 () (or @t120 @t240 @t238)) % 0.45/0.63 (define @t242 () (or @t240 @t238)) % 0.45/0.63 (define @t243 () (not (_ tptp.p @t17))) % 0.45/0.63 (define @t244 () (forall @t41 (or @t190 @t189))) % 0.45/0.63 (define @t245 () (or @t243 @t244)) % 0.45/0.63 (define @t246 () (lambda @t187 @t245)) % 0.45/0.63 (define @t247 () (or @t120 (_ @t246 @t38))) % 0.45/0.63 (define @t248 () (forall @t41 @t247)) % 0.45/0.63 (define @t249 () (lambda @t36 @t248)) % 0.45/0.63 (define @t250 () (lambda @t36 (forall @t41 (or @t120 @t189)))) % 0.45/0.63 (define @t251 () (_ @t250 @t17)) % 0.45/0.63 (define @t252 () (or @t243 @t251)) % 0.45/0.63 (define @t253 () (lambda @t187 @t252)) % 0.45/0.63 (define @t254 () (lambda @t226 (or @t243 @t224))) % 0.45/0.63 (define @t255 () (_ @t212 tptp.q)) % 0.45/0.63 (define @t256 () (_ @t9 @t17)) % 0.45/0.63 (define @t257 () (not @t256)) % 0.45/0.63 (define @t258 () (or @t257 @t224)) % 0.45/0.63 (define @t259 () (lambda @t21 @t258)) % 0.45/0.63 (define @t260 () (_ @t259 tptp.p)) % 0.45/0.63 (define @t261 () (or @t120 @t189 @t188 @t90)) % 0.45/0.63 (define @t262 () (lambda @t36 (forall @t191 @t261))) % 0.45/0.63 (define @t263 () (_ @t262 @t17)) % 0.45/0.63 (define @t264 () (or @t225 @t263)) % 0.45/0.63 (define @t265 () (not @t264)) % 0.45/0.63 (define @t266 () (not @t263)) % 0.45/0.63 (define @t267 () (or @t266 @t224)) % 0.45/0.63 (define @t268 () (not @t267)) % 0.45/0.63 (define @t269 () (or @t268 @t265)) % 0.45/0.63 (define @t270 () (not @t269)) % 0.45/0.63 (define @t271 () (lambda @t226 @t270)) % 0.45/0.63 (define @t272 () (or @t225 @t256)) % 0.45/0.63 (define @t273 () (not @t258)) % 0.45/0.63 (define @t274 () (not (or @t273 (not @t272)))) % 0.45/0.63 (define @t275 () (lambda @t21 @t274)) % 0.45/0.63 (define @t276 () (or @t188 @t90)) % 0.45/0.63 (define @t277 () (or @t120 @t276 @t189)) % 0.45/0.63 (define @t278 () (forall @t191 @t277)) % 0.45/0.63 (define @t279 () (@list @t89)) % 0.45/0.63 (define @t280 () (forall @t279 @t277)) % 0.45/0.63 (define @t281 () (forall @t279 @t276)) % 0.45/0.63 (define @t282 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 0.45/0.63 (define @t283 () (@list @t282)) % 0.45/0.63 (define @t284 () (or @t120 @t281 @t189)) % 0.45/0.63 (define @t285 () (not (tptp.p @t282))) % 0.45/0.63 (define @t286 () (@list @t282)) % 0.45/0.63 (define @t287 () (forall @t286 (or (not (tptp.rel_s5 @t38 @t282)) @t285))) % 0.45/0.63 (define @t288 () (_ tptp.q @t38)) % 0.45/0.63 (define @t289 () (or @t120 @t287 @t288)) % 0.45/0.63 (define @t290 () (or @t287 @t288)) % 0.45/0.63 (define @t291 () (_ tptp.q @t17)) % 0.45/0.63 (define @t292 () (forall @t41 (or @t190 @t196))) % 0.45/0.63 (define @t293 () (or @t292 @t291)) % 0.45/0.63 (define @t294 () (lambda @t187 @t293)) % 0.45/0.63 (define @t295 () (or @t120 (_ @t294 @t38))) % 0.45/0.63 (define @t296 () (forall @t41 @t295)) % 0.45/0.63 (define @t297 () (lambda @t36 @t296)) % 0.45/0.63 (define @t298 () (not @t292)) % 0.45/0.63 (define @t299 () (lambda @t187 @t298)) % 0.45/0.63 (define @t300 () (_ @t299 @t17)) % 0.45/0.63 (define @t301 () (not @t300)) % 0.45/0.63 (define @t302 () (or @t301 @t224)) % 0.45/0.63 (define @t303 () (lambda @t226 @t302)) % 0.45/0.63 (define @t304 () (not @t211)) % 0.45/0.63 (define @t305 () (not (forall @t41 (or @t190 @t304)))) % 0.45/0.63 (define @t306 () (_ (lambda @t87 @t305) tptp.p)) % 0.45/0.63 (define @t307 () (or @t11 @t15)) % 0.45/0.63 (define @t308 () (lambda @t36 @t307)) % 0.45/0.63 (define @t309 () (@list @t14 @t4)) % 0.45/0.63 (define @t310 () (lambda @t309 @t307)) % 0.45/0.63 (define @t311 () (lambda @t36 @t11)) % 0.45/0.63 (define @t312 () (_ @t311 @t4)) % 0.45/0.63 (define @t313 () (or @t312 @t15)) % 0.45/0.63 (define @t314 () (lambda @t309 @t313)) % 0.45/0.63 (define @t315 () (forall @t41 (or @t120 @t304))) % 0.45/0.63 (define @t316 () (lambda @t36 @t315)) % 0.45/0.63 (define @t317 () (_ @t316 @t4)) % 0.45/0.63 (define @t318 () (not @t317)) % 0.45/0.63 (define @t319 () (lambda @t36 @t318)) % 0.45/0.63 (define @t320 () (not @t39)) % 0.45/0.63 (define @t321 () (or @t120 @t320)) % 0.45/0.63 (define @t322 () (_ @t311 @t38)) % 0.45/0.63 (define @t323 () (or @t120 @t322)) % 0.45/0.63 (define @t324 () (forall @t41 @t323)) % 0.45/0.63 (define @t325 () (lambda @t36 @t324)) % 0.45/0.63 (define @t326 () (lambda @t187 @t272)) % 0.45/0.63 (define @t327 () (_ @t326 @t17)) % 0.45/0.63 (define @t328 () (not @t327)) % 0.45/0.63 (define @t329 () (or @t273 @t328)) % 0.45/0.63 (define @t330 () (not @t329)) % 0.45/0.63 (define @t331 () (lambda @t187 @t330)) % 0.45/0.63 (define @t332 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.45/0.63 (define @t333 () (not (_ @t332 @t17))) % 0.45/0.63 (define @t334 () (@list @t332 @t17)) % 0.45/0.63 (define @t335 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.45/0.63 (define @t336 () (_ @t335 @t17)) % 0.45/0.63 (define @t337 () (lambda (@list @t335 @t17) (or @t225 @t336))) % 0.45/0.63 (define @t338 () (@list @t14)) % 0.45/0.63 (define @t339 () (lambda @t187 @t258)) % 0.45/0.63 (define @t340 () (_ @t339 @t17)) % 0.45/0.63 (define @t341 () (not @t340)) % 0.45/0.63 (define @t342 () (or @t341 @t333)) % 0.45/0.63 (define @t343 () (not @t342)) % 0.45/0.63 (define @t344 () (lambda @t334 @t343)) % 0.45/0.63 (define @t345 () (not (or @t257 @t225))) % 0.45/0.63 (define @t346 () (lambda @t21 @t345)) % 0.45/0.63 (define @t347 () (lambda @t226 @t258)) % 0.45/0.63 (define @t348 () (not @t15)) % 0.45/0.63 (define @t349 () (or @t11 @t348)) % 0.45/0.63 (define @t350 () (lambda @t36 @t349)) % 0.45/0.63 (define @t351 () (_ @t350 @t4)) % 0.45/0.63 (define @t352 () (not @t351)) % 0.45/0.63 (define @t353 () (lambda @t36 @t352)) % 0.45/0.63 (define @t354 () (lambda @t36 @t348)) % 0.45/0.63 (define @t355 () (_ @t354 @t4)) % 0.45/0.63 (define @t356 () (or @t11 @t355)) % 0.45/0.63 (define @t357 () (lambda @t36 @t356)) % 0.45/0.63 (define @t358 () (tptp.rel_s5 @t125 @t126)) % 0.45/0.63 (define @t359 () (not @t358)) % 0.45/0.63 (define @t360 () (tptp.rel_s5 @t123 @t125)) % 0.45/0.63 (define @t361 () (not @t360)) % 0.45/0.63 (define @t362 () (not @t124)) % 0.45/0.63 (define @t363 () (or @t362 @t361 @t128 @t359 @t131)) % 0.45/0.63 (define @t364 () (and @t363 @t148)) % 0.45/0.63 (define @t365 () (or (not (tptp.rel_s5 (@quantifiers_skolemize @t122 0) @t123)) @t364)) % 0.45/0.63 (define @t366 () (@list true)) % 0.45/0.63 (define @t367 () (not (tptp.rel_s5 @t44 @t49))) % 0.45/0.63 (define @t368 () (_ @t40 @t44 @t58)) % 0.45/0.63 (define @t369 () (_ @t40 @t49 @t58)) % 0.45/0.63 (define @t370 () (_ @t40 @t44 @t49)) % 0.45/0.63 (define @t371 () (not @t370)) % 0.45/0.63 (define @t372 () (not @t60)) % 0.45/0.63 (define @t373 () (not @t52)) % 0.45/0.63 (define @t374 () (or @t373 @t372 @t59)) % 0.45/0.63 (define @t375 () (or @t361 @t359 @t132)) % 0.45/0.63 (define @t376 () (_ @t40 @t49 @t44)) % 0.45/0.63 (define @t377 () (or @t373 @t51)) % 0.45/0.63 (define @t378 () (or @t359 @t129)) % 0.45/0.63 (define @t379 () (@list true false)) % 0.45/0.63 (define @t380 () (@list @t148)) % 0.45/0.63 (define @t381 () (tptp.rel_s5 @t135 @t136)) % 0.45/0.63 (define @t382 () (or @t141 @t381)) % 0.45/0.63 (define @t383 () (tptp.rel_s5 @t123 @t135)) % 0.45/0.63 (define @t384 () (or @t144 @t141 @t383)) % 0.45/0.63 (define @t385 () (not @t381)) % 0.45/0.63 (define @t386 () (not @t383)) % 0.45/0.63 (define @t387 () (or @t386 @t139 @t385 @t142)) % 0.45/0.63 (define @t388 () (not @t387)) % 0.45/0.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.45/0.63 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.45/0.63 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.45/0.63 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.45/0.63 (assume @p5 @t1) % 0.45/0.63 (assume @p6 true) % 0.45/0.63 (step @p7 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.45/0.63 (step @p8 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.45/0.63 (step @p9 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.45/0.63 (step @p10 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.45/0.63 (step @p11 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.45/0.63 (step @p12 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.45/0.63 (step @p13 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.45/0.63 (step @p14 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.45/0.63 (step @p15 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.45/0.63 (step @p16 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.45/0.63 (step @p17 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.45/0.63 (step @p18 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.45/0.63 (step @p19 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.45/0.63 (step @p20 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.45/0.63 (step @p21 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.45/0.63 (step @p22 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.45/0.63 (step @p23 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.45/0.63 (step @p24 (= tptp.msymmetric @t55) :rule refl :args (@t55)) % 0.45/0.63 (step @p25 (= tptp.mserial @t57) :rule refl :args (@t57)) % 0.45/0.63 (step @p26 (= tptp.mtransitive @t64) :rule refl :args (@t64)) % 0.45/0.63 (step @p27 (= tptp.meuclidean @t66) :rule refl :args (@t66)) % 0.45/0.63 (step @p28 (= tptp.mpartially_functional @t68) :rule refl :args (@t68)) % 0.45/0.63 (step @p29 (= tptp.mfunctional @t70) :rule refl :args (@t70)) % 0.45/0.63 (step @p30 (= tptp.mweakly_dense @t73) :rule refl :args (@t73)) % 0.45/0.63 (step @p31 (= tptp.mweakly_connected @t74) :rule refl :args (@t74)) % 0.45/0.63 (step @p32 (= tptp.mweakly_directed @t75) :rule refl :args (@t75)) % 0.45/0.63 (step @p33 (= tptp.mvalid @t78) :rule refl :args (@t78)) % 0.45/0.63 (step @p34 (= tptp.minvalid @t79) :rule refl :args (@t79)) % 0.45/0.63 (step @p35 (= tptp.msatisfiable @t80) :rule refl :args (@t80)) % 0.45/0.63 (step @p36 (= tptp.mcountersatisfiable @t81) :rule refl :args (@t81)) % 0.45/0.63 (step @p37 (= tptp.mbox_s5 @t86) :rule refl :args (@t86)) % 0.45/0.63 (step @p38 (= tptp.mdia_s5 @t88) :rule refl :args (@t88)) % 0.45/0.63 (assume-push @p561 @t124) % 0.45/0.63 (step @p40 :rule instantiate :premises (@p561) :args ((@list @t126 @t125))) % 0.45/0.63 (step-pop @p562 :rule scope :premises (@p40)) % 0.45/0.63 (step @p41 :rule process_scope :premises (@p562) :args (@t134)) % 0.45/0.63 (step @p43 :rule implies_elim :premises (@p41)) % 0.45/0.63 (assume-push @p563 @t124) % 0.45/0.63 (step @p45 :rule instantiate :premises (@p563) :args (@t137)) % 0.45/0.63 (step-pop @p564 :rule scope :premises (@p45)) % 0.45/0.63 (step @p46 :rule process_scope :premises (@p564) :args (@t145)) % 0.45/0.63 (step @p48 :rule implies_elim :premises (@p46)) % 0.45/0.63 (step @p49 :rule bool-double-not-elim :args (@t143)) % 0.45/0.63 (step @p50 :rule refl :args (@t148)) % 0.45/0.63 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t148 (not @t144)))) % 0.45/0.63 (step @p52 :rule cnf_or_neg :args (@t148 1)) % 0.45/0.63 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.45/0.63 (step @p54 :rule reordering :premises (@p53) :args ((or @t143 @t148))) % 0.45/0.63 (step @p55 :rule cnf_or_neg :args (@t148 2)) % 0.45/0.63 (step @p56 :rule bool-double-not-elim :args (@t140)) % 0.45/0.63 (step @p57 :rule nary_cong :premises (@p50 @p56) :args ((or @t148 (not @t141)))) % 0.45/0.63 (step @p58 :rule cnf_or_neg :args (@t148 3)) % 0.45/0.63 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.45/0.63 (step @p60 :rule reordering :premises (@p59) :args ((or @t140 @t148))) % 0.45/0.63 (step @p61 :rule bool-double-not-elim :args (@t138)) % 0.45/0.63 (step @p62 :rule nary_cong :premises (@p50 @p61) :args ((or @t148 (not @t139)))) % 0.45/0.63 (step @p63 :rule cnf_or_neg :args (@t148 4)) % 0.45/0.63 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.45/0.63 (step @p65 :rule reordering :premises (@p64) :args ((or @t138 @t148))) % 0.45/0.63 (step @p66 :rule cnf_or_pos :args (@t145)) % 0.45/0.63 (step @p67 :rule reordering :premises (@p66) :args ((or @t144 @t142 @t141 @t139 @t149))) % 0.45/0.63 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p60 @p55 @p54) :args ((or @t148 @t149) (@list false false true false) (@list @t138 @t140 @t142 @t143))) % 0.45/0.63 (step @p69 :rule quant-merge-prenex :args ((= (forall @t36 @t151) @t122))) % 0.45/0.63 (step @p70 :rule beta-reduce :args ((= @t153 @t151))) % 0.45/0.63 (step @p71 :rule cong :premises (@p70) :args (@t154)) % 0.45/0.63 (step @p72 :rule trans :premises (@p71 @p69)) % 0.45/0.63 (step @p73 :rule beta-reduce :args ((= (_ @t156 @t152) @t154))) % 0.45/0.63 (step @p74 :rule trans :premises (@p73 @p72)) % 0.45/0.63 (step @p75 :rule aci_norm :args ((= @t158 @t108))) % 0.45/0.63 (step @p76 :rule aci_norm :args ((= @t160 @t118))) % 0.45/0.63 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t161)) % 0.45/0.63 (step @p78 :rule refl :args (@t120)) % 0.45/0.63 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t162)) % 0.45/0.63 (step @p80 :rule cong :premises (@p79) :args (@t163)) % 0.45/0.63 (step @p81 :rule quant-merge-prenex :args ((= (forall @t41 @t165) @t163))) % 0.45/0.63 (step @p82 :rule alpha_equiv :args (@t167 (@list @t96 @t94) (@list @t91 @t89))) % 0.45/0.63 (step @p83 :rule refl :args (@t107)) % 0.45/0.63 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t168)) % 0.45/0.63 (step @p85 :rule quant-miniscope-or :args ((= @t169 @t168))) % 0.45/0.63 (step @p86 :rule quant-unused-vars :args ((= @t170 @t169))) % 0.45/0.63 (step @p87 :rule trans :premises (@p86 @p85)) % 0.45/0.63 (step @p88 :rule trans :premises (@p87 @p84)) % 0.45/0.63 (step @p89 :rule alpha_equiv :args (@t172 (@list @t111 @t109) (@list @t102 @t100))) % 0.45/0.63 (step @p90 :rule refl :args (@t117)) % 0.45/0.63 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t173)) % 0.45/0.63 (step @p92 :rule quant-miniscope-or :args ((= @t174 @t173))) % 0.45/0.63 (step @p93 :rule quant-unused-vars :args ((= @t175 @t174))) % 0.45/0.63 (step @p94 :rule trans :premises (@p93 @p92)) % 0.45/0.63 (step @p95 :rule trans :premises (@p94 @p91)) % 0.45/0.63 (step @p96 :rule nary_cong :premises (@p95 @p88) :args (@t176)) % 0.45/0.63 (step @p97 :rule quant-miniscope-and :args ((= @t177 @t176))) % 0.45/0.63 (step @p98 :rule trans :premises (@p97 @p96)) % 0.45/0.63 (step @p99 :rule refl :args (@t120)) % 0.45/0.63 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t178)) % 0.45/0.63 (step @p101 :rule quant-miniscope-or :args ((= @t165 @t178))) % 0.45/0.63 (step @p102 :rule trans :premises (@p101 @p100)) % 0.45/0.63 (step @p103 :rule symm :premises (@p102)) % 0.45/0.63 (step @p104 :rule cong :premises (@p103) :args ((forall @t41 (or @t120 (and @t180 @t179))))) % 0.45/0.63 (step @p105 :rule trans :premises (@p104 @p81)) % 0.45/0.63 (step @p106 :rule trans :premises (@p105 @p80)) % 0.45/0.63 (step @p107 :rule bool-double-not-elim :args (@t179)) % 0.45/0.63 (step @p108 :rule bool-double-not-elim :args (@t180)) % 0.45/0.63 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((and (not @t182) (not @t181)))) % 0.45/0.63 (step @p110 :rule bool-or-de-morgan :args (@t182 @t181 false)) % 0.45/0.63 (step @p111 :rule trans :premises (@p110 @p109)) % 0.45/0.63 (step @p112 :rule nary_cong :premises (@p99 @p111) :args (@t184)) % 0.45/0.63 (step @p113 :rule cong :premises (@p112) :args ((forall @t41 @t184))) % 0.45/0.63 (step @p114 :rule trans :premises (@p113 @p106)) % 0.45/0.63 (step @p115 :rule beta-reduce :args ((= (_ (lambda @t187 (not (or (not (or (not @t185) @t186)) (not (or (not @t186) @t185))))) @t38) @t183))) % 0.45/0.63 (step @p116 :rule refl :args (@t38)) % 0.45/0.63 (step @p117 :rule alpha_equiv :args (@t192 @t193 (@list @t91))) % 0.45/0.63 (step @p118 :rule alpha_equiv :args (@t198 @t193 (@list @t102))) % 0.45/0.63 (step @p119 :rule cong :premises (@p118) :args (@t199)) % 0.45/0.63 (step @p120 :rule nary_cong :premises (@p119 @p117) :args (@t200)) % 0.45/0.63 (step @p121 :rule cong :premises (@p120) :args (@t201)) % 0.45/0.63 (step @p122 :rule cong :premises (@p117) :args (@t202)) % 0.45/0.63 (step @p123 :rule nary_cong :premises (@p122 @p118) :args (@t203)) % 0.45/0.63 (step @p124 :rule cong :premises (@p123) :args (@t204)) % 0.45/0.63 (step @p125 :rule nary_cong :premises (@p124 @p121) :args (@t205)) % 0.45/0.63 (step @p126 :rule cong :premises (@p125) :args (@t206)) % 0.45/0.63 (step @p127 :rule cong :premises (@p126) :args (@t207)) % 0.45/0.63 (step @p128 :rule ho_cong :premises (@p127 @p116)) % 0.45/0.63 (step @p129 :rule trans :premises (@p128 @p115)) % 0.45/0.63 (step @p130 :rule nary_cong :premises (@p78 @p129) :args (@t208)) % 0.45/0.63 (step @p131 :rule cong :premises (@p130) :args (@t209)) % 0.45/0.63 (step @p132 :rule trans :premises (@p131 @p114)) % 0.45/0.63 (step @p133 :rule cong :premises (@p132) :args (@t210)) % 0.45/0.63 (step @p134 :rule beta-reduce :args ((= (_ @t212 @t207) @t210))) % 0.45/0.63 (step @p135 :rule trans :premises (@p134 @p133)) % 0.45/0.63 (step @p136 :rule refl :args (@t192)) % 0.45/0.63 (step @p137 :rule beta-reduce :args ((= @t215 @t198))) % 0.45/0.63 (step @p138 :rule cong :premises (@p137) :args (@t216)) % 0.45/0.63 (step @p139 :rule nary_cong :premises (@p138 @p136) :args (@t217)) % 0.45/0.63 (step @p140 :rule cong :premises (@p139) :args (@t218)) % 0.45/0.63 (step @p141 :rule refl :args (@t202)) % 0.45/0.63 (step @p142 :rule nary_cong :premises (@p141 @p137) :args (@t219)) % 0.45/0.63 (step @p143 :rule cong :premises (@p142) :args (@t220)) % 0.45/0.63 (step @p144 :rule nary_cong :premises (@p143 @p140) :args (@t221)) % 0.45/0.63 (step @p145 :rule cong :premises (@p144) :args (@t222)) % 0.45/0.63 (step @p146 :rule cong :premises (@p145) :args (@t223)) % 0.45/0.63 (step @p147 :rule beta-reduce :args ((= (_ (lambda @t226 (not (or (not (or @t202 @t224)) (not (or @t225 @t192))))) @t214) @t223))) % 0.45/0.63 (step @p148 :rule trans :premises (@p147 @p146)) % 0.45/0.63 (step @p149 :rule aci_norm :args ((= @t228 @t213))) % 0.45/0.63 (step @p150 :rule cong :premises (@p149) :args (@t229)) % 0.45/0.63 (step @p151 :rule quant-merge-prenex :args ((= (forall @t41 @t231) @t229))) % 0.45/0.63 (step @p152 :rule alpha_equiv :args (@t232 (@list @t100) @t234)) % 0.45/0.63 (step @p153 :rule refl :args (@t196)) % 0.45/0.63 (step @p154 :rule nary_cong :premises (@p99 @p153 @p152) :args (@t235)) % 0.45/0.63 (step @p155 :rule quant-miniscope-or :args ((= @t231 @t235))) % 0.45/0.63 (step @p156 :rule trans :premises (@p155 @p154)) % 0.45/0.63 (step @p157 :rule symm :premises (@p156)) % 0.45/0.63 (step @p158 :rule cong :premises (@p157) :args ((forall @t41 (or @t120 @t196 @t238)))) % 0.45/0.63 (step @p159 :rule trans :premises (@p158 @p151)) % 0.45/0.63 (step @p160 :rule trans :premises (@p159 @p150)) % 0.45/0.63 (step @p161 :rule refl :args (@t238)) % 0.45/0.63 (step @p162 :rule refl :args (@t195)) % 0.45/0.63 (step @p163 :rule refl :args (@t239)) % 0.45/0.63 (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t239 @t195))) % 0.45/0.63 (step @p165 :rule symm :premises (@p164)) % 0.45/0.63 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 0.45/0.63 (step @p167 :rule cong :premises (@p166) :args (@t240)) % 0.45/0.63 (step @p168 :rule nary_cong :premises (@p99 @p167 @p161) :args (@t241)) % 0.45/0.63 (step @p169 :rule cong :premises (@p168) :args ((forall @t41 @t241))) % 0.45/0.63 (step @p170 :rule trans :premises (@p169 @p160)) % 0.45/0.63 (step @p171 :rule aci_norm :args ((= (or @t120 @t242) @t241))) % 0.45/0.63 (step @p172 :rule beta-reduce :args ((= (_ (lambda @t187 (or @t243 (forall @t237 (or (not (tptp.rel_s5 @t17 @t233)) @t236)))) @t38) @t242))) % 0.45/0.63 (step @p173 :rule alpha_equiv :args (@t244 @t193 @t234)) % 0.45/0.63 (step 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(step @p445 :rule trans :premises (@p444 @p276)) % 0.45/0.63 (step @p446 :rule eq_resolve :premises (@p5 @p445)) % 0.45/0.63 (step @p447 :rule skolemize :premises (@p446)) % 0.45/0.63 (step @p448 :rule cnf_or_neg :args (@t365 1)) % 0.45/0.63 (step @p449 :rule chain_m_resolution :premises (@p448 @p447) :args ((not @t364) @t366 (@list @t365))) % 0.45/0.63 (step @p450 :rule cnf_and_neg :args (@t364)) % 0.45/0.63 (step @p451 :rule bool-double-not-elim :args (@t360)) % 0.45/0.63 (step @p452 :rule refl :args (@t363)) % 0.45/0.63 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t363 (not @t361)))) % 0.45/0.63 (step @p454 :rule cnf_or_neg :args (@t363 1)) % 0.45/0.63 (step @p455 :rule eq_resolve :premises (@p454 @p453)) % 0.45/0.63 (step @p456 :rule reordering :premises (@p455) :args ((or @t360 @t363))) % 0.45/0.63 (step @p457 :rule bool-double-not-elim :args (@t127)) % 0.45/0.63 (step @p458 :rule nary_cong :premises (@p452 @p457) :args ((or @t363 (not @t128)))) % 0.45/0.63 (step @p459 :rule cnf_or_neg :args (@t363 2)) % 0.45/0.63 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 0.45/0.63 (step @p461 :rule reordering :premises (@p460) :args ((or @t127 @t363))) % 0.45/0.63 (step @p462 :rule bool-double-not-elim :args (@t358)) % 0.45/0.63 (step @p463 :rule nary_cong :premises (@p452 @p462) :args ((or @t363 (not @t359)))) % 0.45/0.63 (step @p464 :rule cnf_or_neg :args (@t363 3)) % 0.45/0.63 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 0.45/0.63 (step @p466 :rule reordering :premises (@p465) :args ((or @t358 @t363))) % 0.45/0.63 (step @p467 :rule cnf_or_neg :args (@t363 4)) % 0.45/0.63 (step @p468 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t62 (or @t371 (not @t369) @t368))) tptp.rel_s5) (forall @t62 (or @t367 (not (tptp.rel_s5 @t49 @t58)) (tptp.rel_s5 @t44 @t58)))))) % 0.45/0.63 (step @p469 :rule refl :args (tptp.rel_s5)) % 0.45/0.63 (step @p470 :rule refl :args (@t368)) % 0.45/0.63 (step @p471 :rule refl :args (@t59)) % 0.45/0.63 (step @p472 :rule cong :premises (@p471 @p470) :args ((= @t59 @t368))) % 0.45/0.63 (step @p473 :rule symm :premises (@p472)) % 0.45/0.63 (step @p474 :rule eq_resolve :premises (@p471 @p473)) % 0.45/0.63 (step @p475 :rule refl :args (@t369)) % 0.45/0.63 (step @p476 :rule refl :args (@t60)) % 0.45/0.63 (step @p477 :rule cong :premises (@p476 @p475) :args ((= @t60 @t369))) % 0.45/0.63 (step @p478 :rule symm :premises (@p477)) % 0.45/0.63 (step @p479 :rule eq_resolve :premises (@p476 @p478)) % 0.45/0.63 (step @p480 :rule cong :premises (@p479) :args (@t372)) % 0.45/0.63 (step @p481 :rule refl :args (@t370)) % 0.45/0.63 (step @p482 :rule refl :args (@t52)) % 0.45/0.63 (step @p483 :rule cong :premises (@p482 @p481) :args ((= @t52 @t370))) % 0.45/0.63 (step @p484 :rule symm :premises (@p483)) % 0.45/0.63 (step @p485 :rule eq_resolve :premises (@p482 @p484)) % 0.45/0.63 (step @p486 :rule cong :premises (@p485) :args (@t373)) % 0.45/0.63 (step @p487 :rule nary_cong :premises (@p486 @p480 @p474) :args (@t374)) % 0.45/0.63 (step @p488 :rule cong :premises (@p487) :args ((forall @t62 @t374))) % 0.45/0.63 (step @p489 :rule aci_norm :args ((= (or (or @t373 @t372) @t59) @t374))) % 0.45/0.63 (step @p490 :rule bool-and-de-morgan :args (@t52 @t60 true)) % 0.45/0.63 (step @p491 :rule nary_cong :premises (@p490 @p471) :args ((or (not @t61) @t59))) % 0.45/0.63 (step @p492 :rule trans :premises (@p491 @p489)) % 0.45/0.63 (step @p493 :rule bool-impl-elim :args (@t61 @t59)) % 0.45/0.63 (step @p494 :rule trans :premises (@p493 @p492)) % 0.45/0.63 (step @p495 :rule cong :premises (@p494) :args (@t63)) % 0.45/0.63 (step @p496 :rule trans :premises (@p495 @p488)) % 0.45/0.63 (step @p497 :rule cong :premises (@p496) :args (@t64)) % 0.45/0.63 (step @p498 :rule trans :premises (@p26 @p497)) % 0.45/0.63 (step @p499 :rule ho_cong :premises (@p498 @p469)) % 0.45/0.63 (step @p500 :rule trans :premises (@p499 @p468)) % 0.45/0.63 (step @p501 :rule eq_resolve :premises (@p3 @p500)) % 0.45/0.63 (step @p502 :rule instantiate :premises (@p501) :args ((@list @t123 @t125 @t126))) % 0.45/0.63 (step @p503 :rule cnf_or_pos :args (@t375)) % 0.45/0.63 (step @p504 :rule reordering :premises (@p503) :args ((or @t361 @t359 @t132 (not @t375)))) % 0.45/0.63 (step @p505 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t53 (or @t371 @t376))) tptp.rel_s5) (forall @t53 (or @t367 (tptp.rel_s5 @t49 @t44)))))) % 0.45/0.63 (step @p506 :rule refl :args (@t376)) % 0.45/0.63 (step @p507 :rule refl :args (@t51)) % 0.45/0.63 (step @p508 :rule cong :premises (@p507 @p506) :args ((= @t51 @t376))) % 0.45/0.63 (step @p509 :rule symm :premises (@p508)) % 0.45/0.63 (step @p510 :rule eq_resolve :premises (@p507 @p509)) % 0.45/0.63 (step @p511 :rule nary_cong :premises (@p486 @p510) :args (@t377)) % 0.45/0.63 (step @p512 :rule cong :premises (@p511) :args ((forall @t53 @t377))) % 0.45/0.63 (step @p513 :rule bool-impl-elim :args (@t52 @t51)) % 0.45/0.63 (step @p514 :rule cong :premises (@p513) :args (@t54)) % 0.45/0.63 (step @p515 :rule trans :premises (@p514 @p512)) % 0.45/0.63 (step @p516 :rule cong :premises (@p515) :args (@t55)) % 0.45/0.63 (step @p517 :rule trans :premises (@p24 @p516)) % 0.45/0.63 (step @p518 :rule ho_cong :premises (@p517 @p469)) % 0.45/0.63 (step @p519 :rule trans :premises (@p518 @p505)) % 0.45/0.63 (step @p520 :rule eq_resolve :premises (@p4 @p519)) % 0.45/0.63 (step @p521 :rule instantiate :premises (@p520) :args ((@list @t125 @t126))) % 0.45/0.63 (step @p522 :rule cnf_or_pos :args (@t378)) % 0.45/0.63 (step @p523 :rule reordering :premises (@p522) :args ((or @t359 @t129 (not @t378)))) % 0.45/0.63 (step @p524 :rule cnf_or_pos :args (@t134)) % 0.45/0.63 (step @p525 :rule reordering :premises (@p524) :args ((or @t128 @t131 @t133 @t130 (not @t134)))) % 0.45/0.63 (step @p526 :rule chain_m_resolution :premises (@p525 @p523 @p521 @p504 @p502 @p467 @p466 @p461 @p456 @p450 @p449 @p68 @p48 @p43) :args (@t362 (@list false false false false true false false false true true false false false) (@list @t129 @t378 @t132 @t375 @t131 @t358 @t127 @t360 @t363 @t364 @t148 @t145 @t134))) % 0.45/0.63 (step @p527 :rule bool-double-not-elim :args (@t124)) % 0.45/0.63 (step @p528 :rule nary_cong :premises (@p452 @p527) :args ((or @t363 (not @t362)))) % 0.45/0.63 (step @p529 :rule cnf_or_neg :args (@t363 0)) % 0.45/0.63 (step @p530 :rule eq_resolve :premises (@p529 @p528)) % 0.45/0.63 (step @p531 :rule reordering :premises (@p530) :args ((or @t124 @t363))) % 0.45/0.63 (step @p532 :rule chain_m_resolution :premises (@p531 @p526) :args (@t363 @t366 (@list @t124))) % 0.45/0.63 (step @p533 :rule chain_m_resolution :premises (@p450 @p449 @p532) :args ((not @t148) @t379 (@list @t364 @t363))) % 0.45/0.63 (step @p534 :rule bool-double-not-elim :args (@t146)) % 0.45/0.63 (step @p535 :rule nary_cong :premises (@p50 @p534) :args ((or @t148 (not @t147)))) % 0.45/0.63 (step @p536 :rule cnf_or_neg :args (@t148 0)) % 0.45/0.63 (step @p537 :rule eq_resolve :premises (@p536 @p535)) % 0.45/0.63 (step @p538 :rule reordering :premises (@p537) :args ((or @t146 @t148))) % 0.45/0.63 (step @p539 :rule chain_m_resolution :premises (@p538 @p533) :args (@t146 @t366 @t380)) % 0.45/0.63 (step @p540 :rule instantiate :premises (@p520) :args (@t137)) % 0.45/0.63 (step @p541 :rule chain_m_resolution :premises (@p60 @p533) :args (@t140 @t366 @t380)) % 0.45/0.63 (step @p542 :rule cnf_or_pos :args (@t382)) % 0.45/0.63 (step @p543 :rule reordering :premises (@p542) :args ((or @t141 @t381 (not @t382)))) % 0.45/0.63 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p540) :args (@t381 (@list false false) (@list @t140 @t382))) % 0.45/0.63 (step @p545 :rule instantiate :premises (@p501) :args ((@list @t123 @t136 @t135))) % 0.45/0.63 (step @p546 :rule chain_m_resolution :premises (@p54 @p533) :args (@t143 @t366 @t380)) % 0.45/0.63 (step @p547 :rule cnf_or_pos :args (@t384)) % 0.45/0.63 (step @p548 :rule reordering :premises (@p547) :args ((or @t144 @t141 @t383 (not @t384)))) % 0.45/0.63 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p541 @p545) :args (@t383 (@list false false false) (@list @t143 @t140 @t384))) % 0.45/0.63 (step @p550 :rule chain_m_resolution :premises (@p65 @p533) :args (@t138 @t366 @t380)) % 0.45/0.63 (step @p551 :rule chain_m_resolution :premises (@p55 @p533) :args ((not @t142) @t366 @t380)) % 0.45/0.63 (step @p552 :rule cnf_or_pos :args (@t387)) % 0.45/0.63 (step @p553 :rule reordering :premises (@p552) :args ((or @t142 @t139 @t386 @t385 @t388))) % 0.45/0.63 (step @p554 :rule chain_m_resolution :premises (@p553 @p551 @p550 @p549 @p544) :args (@t388 (@list true false false false) (@list @t142 @t138 @t383 @t381))) % 0.45/0.63 (assume-push @p565 @t146) % 0.45/0.63 (step @p556 :rule instantiate :premises (@p565) :args ((@list @t135 @t136))) % 0.45/0.63 (step-pop @p566 :rule scope :premises (@p556)) % 0.45/0.63 (step @p557 :rule process_scope :premises (@p566) :args (@t387)) % 0.45/0.63 (step @p559 :rule implies_elim :premises (@p557)) % 0.45/0.63 (step @p560 false :rule chain_m_resolution :premises (@p559 @p554 @p539) :args (false @t379 (@list @t387 @t146))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------