%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO409^1 : 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 : n010.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 09:12:35 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO409^1 : 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 : n010.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 00:06:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-sort tptp.mu 0) % 0.37/0.62 (declare-const tptp.rel_k (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.62 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.62 (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)))))) % 0.37/0.62 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.62 (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))))))) % 0.37/0.62 (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))))))) % 0.37/0.62 (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)))))) % 0.37/0.62 (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)))))) % 0.37/0.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.62 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.37/0.62 (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)))))) % 0.37/0.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.62 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.62 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.62 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.62 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.62 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.62 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.37/0.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.62 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.62 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.mbox_k () (let ((_let_1 (@var "V" $$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_k _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.37/0.62 (define tptp.mdia_k () (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_k (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.62 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ tptp.mdia_k (_ (_ tptp.mor tptp.p) tptp.q))) (_ (_ tptp.mor (_ tptp.mdia_k tptp.p)) (_ tptp.mdia_k tptp.q)))))) % 0.37/0.62 (define @t2 () (@var "Y" tptp.mu)) % 0.37/0.62 (define @t3 () (@var "X" tptp.mu)) % 0.37/0.62 (define @t4 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.37/0.62 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.62 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.62 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.37/0.62 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.62 (define @t10 () (_ @t9 @t4)) % 0.37/0.62 (define @t11 () (not @t10)) % 0.37/0.62 (define @t12 () (@list @t9 @t4)) % 0.37/0.62 (define @t13 () (lambda @t12 @t11)) % 0.37/0.62 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.62 (define @t15 () (_ @t14 @t4)) % 0.37/0.62 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.37/0.62 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.62 (define @t18 () (_ tptp.mnot @t14)) % 0.37/0.62 (define @t19 () (_ tptp.mnot @t9)) % 0.37/0.62 (define @t20 () (_ tptp.mor @t19)) % 0.37/0.62 (define @t21 () (@list @t9 @t14 @t17)) % 0.37/0.62 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.37/0.62 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.37/0.62 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.37/0.62 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.37/0.62 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.37/0.62 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.62 (define @t28 () (_ @t27 @t3)) % 0.37/0.62 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.37/0.62 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.62 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.62 (define @t32 () (_ @t31 @t30)) % 0.37/0.62 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.37/0.62 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.37/0.62 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.37/0.62 (define @t36 () (@list @t4)) % 0.37/0.62 (define @t37 () (lambda @t36 true)) % 0.37/0.62 (define @t38 () (@var "V" $$unsorted)) % 0.37/0.62 (define @t39 () (_ @t9 @t38)) % 0.37/0.62 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.62 (define @t41 () (@list @t38)) % 0.37/0.62 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.37/0.62 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.37/0.62 (define @t44 () (@var "S" $$unsorted)) % 0.37/0.62 (define @t45 () (_ @t40 @t44)) % 0.37/0.62 (define @t46 () (@list @t44)) % 0.37/0.62 (define @t47 () (@list @t40)) % 0.37/0.62 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.37/0.62 (define @t49 () (@var "T" $$unsorted)) % 0.37/0.62 (define @t50 () (_ @t40 @t49)) % 0.37/0.62 (define @t51 () (_ @t45 @t49)) % 0.37/0.62 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.37/0.62 (define @t53 () (@list @t49)) % 0.37/0.62 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.37/0.62 (define @t55 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t56 () (_ @t45 @t55)) % 0.37/0.62 (define @t57 () (_ @t50 @t55)) % 0.37/0.62 (define @t58 () (@list @t44 @t49 @t55)) % 0.37/0.62 (define @t59 () (lambda @t47 (forall @t58 (=> (and @t51 @t57) @t56)))) % 0.37/0.62 (define @t60 () (and @t51 @t56)) % 0.37/0.62 (define @t61 () (lambda @t47 (forall @t58 (=> @t60 @t57)))) % 0.37/0.62 (define @t62 () (= @t49 @t55)) % 0.37/0.62 (define @t63 () (lambda @t47 (forall @t58 (=> @t60 @t62)))) % 0.37/0.62 (define @t64 () (@list @t55)) % 0.37/0.62 (define @t65 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t64 (=> @t56 @t62))))))) % 0.37/0.62 (define @t66 () (_ @t40 @t55)) % 0.37/0.62 (define @t67 () (_ @t66 @t49)) % 0.37/0.62 (define @t68 () (lambda @t47 (forall @t58 (=> @t51 (exists @t64 (and @t56 @t67)))))) % 0.37/0.62 (define @t69 () (lambda @t47 (forall @t58 (=> @t60 (or @t57 @t62 @t67))))) % 0.37/0.62 (define @t70 () (lambda @t47 (forall @t58 (=> @t60 (exists @t41 (and (_ @t50 @t38) (_ @t66 @t38))))))) % 0.37/0.62 (define @t71 () (forall @t36 @t10)) % 0.37/0.62 (define @t72 () (@list @t9)) % 0.37/0.62 (define @t73 () (lambda @t72 @t71)) % 0.37/0.62 (define @t74 () (lambda @t72 (forall @t36 @t11))) % 0.37/0.62 (define @t75 () (lambda @t72 (exists @t36 @t10))) % 0.37/0.62 (define @t76 () (lambda @t72 (exists @t36 @t11))) % 0.37/0.62 (define @t77 () (_ (_ tptp.rel_k @t4) @t38)) % 0.37/0.62 (define @t78 () (not @t77)) % 0.37/0.62 (define @t79 () (or @t78 @t39)) % 0.37/0.62 (define @t80 () (forall @t41 @t79)) % 0.37/0.62 (define @t81 () (lambda @t12 @t80)) % 0.37/0.62 (define @t82 () (@list @t9 @t17)) % 0.37/0.62 (define @t83 () (lambda @t82 (_ (_ tptp.mnot (_ tptp.mbox_k @t19)) @t17))) % 0.37/0.62 (define @t84 () (tptp.q @t38)) % 0.37/0.62 (define @t85 () (not @t84)) % 0.37/0.62 (define @t86 () (tptp.p @t38)) % 0.37/0.62 (define @t87 () (not @t86)) % 0.37/0.62 (define @t88 () (and @t87 @t85)) % 0.37/0.62 (define @t89 () (@var "BOUND_VARIABLE_8541" $$unsorted)) % 0.37/0.62 (define @t90 () (not (tptp.rel_k @t89 @t38))) % 0.37/0.62 (define @t91 () (not (forall @t41 (or @t90 @t88)))) % 0.37/0.62 (define @t92 () (@var "BOUND_VARIABLE_8579" $$unsorted)) % 0.37/0.62 (define @t93 () (or (not (tptp.rel_k @t89 @t92)) (not (tptp.q @t92)))) % 0.37/0.62 (define @t94 () (@var "BOUND_VARIABLE_8572" $$unsorted)) % 0.37/0.62 (define @t95 () (or (not (tptp.rel_k @t89 @t94)) (not (tptp.p @t94)))) % 0.37/0.62 (define @t96 () (and @t95 @t93)) % 0.37/0.62 (define @t97 () (or @t96 @t91)) % 0.37/0.62 (define @t98 () (forall (@list @t89 @t94 @t92) @t97)) % 0.37/0.62 (define @t99 () (@quantifiers_skolemize @t98 2)) % 0.37/0.62 (define @t100 () (@quantifiers_skolemize @t98 0)) % 0.37/0.62 (define @t101 () (tptp.rel_k @t100 @t99)) % 0.37/0.62 (define @t102 () (tptp.q @t99)) % 0.37/0.62 (define @t103 () (not @t102)) % 0.37/0.62 (define @t104 () (not @t101)) % 0.37/0.62 (define @t105 () (or @t104 @t103)) % 0.37/0.62 (define @t106 () (@var "BOUND_VARIABLE_8557" $$unsorted)) % 0.37/0.62 (define @t107 () (and (not (tptp.p @t106)) (not (tptp.q @t106)))) % 0.37/0.62 (define @t108 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 0.37/0.62 (define @t109 () (not (tptp.rel_k @t108 @t106))) % 0.37/0.62 (define @t110 () (not (tptp.rel_k @t108 @t38))) % 0.37/0.62 (define @t111 () (not (forall @t41 (or @t110 @t85)))) % 0.37/0.62 (define @t112 () (not (forall @t41 (or @t110 @t87)))) % 0.37/0.62 (define @t113 () (or @t112 @t111 @t109 @t107)) % 0.37/0.62 (define @t114 () (@list @t108 @t106)) % 0.37/0.62 (define @t115 () (forall @t114 @t113)) % 0.37/0.62 (define @t116 () (@quantifiers_skolemize @t115 0)) % 0.37/0.62 (define @t117 () (not (tptp.rel_k @t116 @t38))) % 0.37/0.62 (define @t118 () (forall @t41 (or @t117 @t87))) % 0.37/0.62 (define @t119 () (@quantifiers_skolemize @t115 1)) % 0.37/0.62 (define @t120 () (tptp.q @t119)) % 0.37/0.62 (define @t121 () (not @t120)) % 0.37/0.62 (define @t122 () (tptp.p @t119)) % 0.37/0.62 (define @t123 () (not @t122)) % 0.37/0.62 (define @t124 () (and @t123 @t121)) % 0.37/0.62 (define @t125 () (tptp.rel_k @t116 @t119)) % 0.37/0.62 (define @t126 () (not @t125)) % 0.37/0.62 (define @t127 () (forall @t41 (or @t117 @t85))) % 0.37/0.62 (define @t128 () (not @t127)) % 0.37/0.62 (define @t129 () (not @t118)) % 0.37/0.62 (define @t130 () (or @t129 @t128 @t126 @t124)) % 0.37/0.62 (define @t131 () (@list @t119)) % 0.37/0.62 (define @t132 () (or @t126 @t123)) % 0.37/0.62 (define @t133 () (or @t126 @t121)) % 0.37/0.62 (define @t134 () (not @t130)) % 0.37/0.62 (define @t135 () (not @t115)) % 0.37/0.62 (define @t136 () (@list false)) % 0.37/0.62 (define @t137 () (@list @t94 @t92)) % 0.37/0.62 (define @t138 () (forall @t137 @t97)) % 0.37/0.62 (define @t139 () (@list @t89)) % 0.37/0.62 (define @t140 () (forall (@list @t92) @t93)) % 0.37/0.62 (define @t141 () (@list @t38)) % 0.37/0.62 (define @t142 () (forall @t137 @t93)) % 0.37/0.62 (define @t143 () (forall (@list @t94) @t95)) % 0.37/0.62 (define @t144 () (forall @t137 @t95)) % 0.37/0.62 (define @t145 () (and @t144 @t142)) % 0.37/0.62 (define @t146 () (forall @t137 @t96)) % 0.37/0.62 (define @t147 () (or @t146 @t91)) % 0.37/0.62 (define @t148 () (forall @t139 (or (and (forall @t41 (or @t90 @t87)) (forall @t41 (or @t90 @t85))) @t91))) % 0.37/0.62 (define @t149 () (or @t109 @t107)) % 0.37/0.62 (define @t150 () (or @t149 @t112 @t111)) % 0.37/0.62 (define @t151 () (forall @t114 @t150)) % 0.37/0.62 (define @t152 () (@list @t106)) % 0.37/0.62 (define @t153 () (forall @t152 @t150)) % 0.37/0.62 (define @t154 () (@list @t108)) % 0.37/0.62 (define @t155 () (forall @t152 @t149)) % 0.37/0.62 (define @t156 () (or @t155 @t112 @t111)) % 0.37/0.62 (define @t157 () (forall @t154 (or (forall @t41 (or @t110 @t88)) @t112 @t111))) % 0.37/0.62 (define @t158 () (tptp.rel_k @t4 @t38)) % 0.37/0.62 (define @t159 () (not @t158)) % 0.37/0.62 (define @t160 () (forall @t41 (or @t159 @t88))) % 0.37/0.62 (define @t161 () (not @t160)) % 0.37/0.62 (define @t162 () (forall @t41 (or @t159 @t85))) % 0.37/0.62 (define @t163 () (forall @t41 (or @t159 @t87))) % 0.37/0.62 (define @t164 () (or (and @t163 @t162) @t161)) % 0.37/0.62 (define @t165 () (forall @t36 @t164)) % 0.37/0.62 (define @t166 () (@list @t4)) % 0.37/0.62 (define @t167 () (not @t162)) % 0.37/0.62 (define @t168 () (not @t163)) % 0.37/0.62 (define @t169 () (or @t160 @t168 @t167)) % 0.37/0.62 (define @t170 () (forall @t36 @t169)) % 0.37/0.62 (define @t171 () (and @t170 @t165)) % 0.37/0.62 (define @t172 () (or @t168 @t167)) % 0.37/0.62 (define @t173 () (or (not @t172) @t161)) % 0.37/0.62 (define @t174 () (not @t173)) % 0.37/0.62 (define @t175 () (not @t169)) % 0.37/0.62 (define @t176 () (not (or @t175 @t174))) % 0.37/0.62 (define @t177 () (not (tptp.rel_k @t17 @t38))) % 0.37/0.62 (define @t178 () (forall @t41 (or @t177 @t88))) % 0.37/0.62 (define @t179 () (not @t178)) % 0.37/0.62 (define @t180 () (not (forall @t41 (or @t177 @t85)))) % 0.37/0.62 (define @t181 () (not (forall @t41 (or @t177 @t87)))) % 0.37/0.62 (define @t182 () (or @t181 @t180)) % 0.37/0.62 (define @t183 () (or @t178 @t181 @t180)) % 0.37/0.62 (define @t184 () (@list @t17)) % 0.37/0.62 (define @t185 () (lambda @t184 (not (or (not @t183) (not (or (not @t182) @t179)))))) % 0.37/0.62 (define @t186 () (_ @t185 @t4)) % 0.37/0.62 (define @t187 () (forall @t36 @t186)) % 0.37/0.62 (define @t188 () (_ @t9 @t4)) % 0.37/0.62 (define @t189 () (lambda @t72 (forall @t36 @t188))) % 0.37/0.62 (define @t190 () (lambda @t36 @t172)) % 0.37/0.62 (define @t191 () (_ @t190 @t17)) % 0.37/0.62 (define @t192 () (not @t191)) % 0.37/0.62 (define @t193 () (or @t192 @t179)) % 0.37/0.62 (define @t194 () (not @t193)) % 0.37/0.62 (define @t195 () (or @t178 @t191)) % 0.37/0.62 (define @t196 () (not @t195)) % 0.37/0.62 (define @t197 () (or @t196 @t194)) % 0.37/0.62 (define @t198 () (not @t197)) % 0.37/0.62 (define @t199 () (lambda @t184 @t198)) % 0.37/0.62 (define @t200 () (_ @t14 @t17)) % 0.37/0.62 (define @t201 () (not @t200)) % 0.37/0.62 (define @t202 () (@list @t14 @t17)) % 0.37/0.62 (define @t203 () (lambda @t184 @t180)) % 0.37/0.62 (define @t204 () (_ @t203 @t4)) % 0.37/0.62 (define @t205 () (or @t168 @t204)) % 0.37/0.62 (define @t206 () (lambda @t36 @t205)) % 0.37/0.62 (define @t207 () (@list @t14 @t4)) % 0.37/0.62 (define @t208 () (_ @t9 @t38)) % 0.37/0.62 (define @t209 () (not @t208)) % 0.37/0.62 (define @t210 () (not (forall @t41 (or @t177 @t209)))) % 0.37/0.62 (define @t211 () (lambda @t82 @t210)) % 0.37/0.62 (define @t212 () (_ @t211 tptp.q)) % 0.37/0.62 (define @t213 () (lambda @t184 @t181)) % 0.37/0.62 (define @t214 () (_ @t213 @t4)) % 0.37/0.62 (define @t215 () (or @t214 @t15)) % 0.37/0.62 (define @t216 () (lambda @t207 @t215)) % 0.37/0.62 (define @t217 () (_ @t211 tptp.p)) % 0.37/0.62 (define @t218 () (lambda @t184 @t179)) % 0.37/0.62 (define @t219 () (_ @t218 @t17)) % 0.37/0.62 (define @t220 () (or @t201 @t219)) % 0.37/0.62 (define @t221 () (not @t220)) % 0.37/0.62 (define @t222 () (not @t219)) % 0.37/0.62 (define @t223 () (or @t222 @t200)) % 0.37/0.62 (define @t224 () (not @t223)) % 0.37/0.62 (define @t225 () (or @t224 @t221)) % 0.37/0.62 (define @t226 () (not @t225)) % 0.37/0.62 (define @t227 () (lambda @t202 @t226)) % 0.37/0.62 (define @t228 () (_ @t9 @t17)) % 0.37/0.62 (define @t229 () (or @t201 @t228)) % 0.37/0.62 (define @t230 () (not @t228)) % 0.37/0.62 (define @t231 () (or @t230 @t200)) % 0.37/0.62 (define @t232 () (not @t231)) % 0.37/0.62 (define @t233 () (not (or @t232 (not @t229)))) % 0.37/0.62 (define @t234 () (lambda @t21 @t233)) % 0.37/0.62 (define @t235 () (_ tptp.q @t38)) % 0.37/0.62 (define @t236 () (not @t235)) % 0.37/0.62 (define @t237 () (_ tptp.p @t38)) % 0.37/0.62 (define @t238 () (not @t237)) % 0.37/0.62 (define @t239 () (and @t238 @t236)) % 0.37/0.62 (define @t240 () (or @t177 @t239)) % 0.37/0.62 (define @t241 () (or @t237 @t235)) % 0.37/0.62 (define @t242 () (or @t177 (not @t241))) % 0.37/0.62 (define @t243 () (_ tptp.p @t4)) % 0.37/0.62 (define @t244 () (lambda @t36 (or @t243 (_ tptp.q @t4)))) % 0.37/0.62 (define @t245 () (_ @t244 @t38)) % 0.37/0.62 (define @t246 () (not @t245)) % 0.37/0.62 (define @t247 () (or @t177 @t246)) % 0.37/0.62 (define @t248 () (forall @t41 @t247)) % 0.37/0.62 (define @t249 () (not @t248)) % 0.37/0.62 (define @t250 () (lambda @t184 @t249)) % 0.37/0.62 (define @t251 () (lambda @t207 (or @t243 @t15))) % 0.37/0.62 (define @t252 () (_ @t16 tptp.p)) % 0.37/0.62 (define @t253 () (forall @t41 (or @t159 @t209))) % 0.37/0.62 (define @t254 () (lambda @t36 @t253)) % 0.37/0.62 (define @t255 () (_ @t254 @t4)) % 0.37/0.62 (define @t256 () (not @t255)) % 0.37/0.62 (define @t257 () (lambda @t36 @t256)) % 0.37/0.62 (define @t258 () (not @t39)) % 0.37/0.62 (define @t259 () (or @t159 @t258)) % 0.37/0.62 (define @t260 () (lambda @t36 @t11)) % 0.37/0.62 (define @t261 () (_ @t260 @t38)) % 0.37/0.62 (define @t262 () (or @t159 @t261)) % 0.37/0.62 (define @t263 () (forall @t41 @t262)) % 0.37/0.62 (define @t264 () (lambda @t36 @t263)) % 0.37/0.62 (define @t265 () (lambda @t12 (forall @t41 (or @t159 @t208)))) % 0.37/0.62 (define @t266 () (lambda @t184 @t229)) % 0.37/0.62 (define @t267 () (_ @t266 @t17)) % 0.37/0.62 (define @t268 () (not @t267)) % 0.37/0.62 (define @t269 () (or @t232 @t268)) % 0.37/0.62 (define @t270 () (not @t269)) % 0.37/0.62 (define @t271 () (lambda @t184 @t270)) % 0.37/0.62 (define @t272 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.37/0.62 (define @t273 () (not (_ @t272 @t17))) % 0.37/0.62 (define @t274 () (@list @t272 @t17)) % 0.37/0.62 (define @t275 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.37/0.62 (define @t276 () (_ @t275 @t17)) % 0.37/0.62 (define @t277 () (lambda (@list @t275 @t17) (or @t201 @t276))) % 0.37/0.62 (define @t278 () (lambda @t21 @t231)) % 0.37/0.62 (define @t279 () (@list @t14)) % 0.37/0.62 (define @t280 () (lambda @t184 @t231)) % 0.37/0.62 (define @t281 () (_ @t280 @t17)) % 0.37/0.62 (define @t282 () (not @t281)) % 0.37/0.62 (define @t283 () (or @t282 @t273)) % 0.37/0.62 (define @t284 () (not @t283)) % 0.37/0.62 (define @t285 () (lambda @t274 @t284)) % 0.37/0.62 (define @t286 () (not (or @t230 @t201))) % 0.37/0.62 (define @t287 () (lambda @t21 @t286)) % 0.37/0.62 (define @t288 () (lambda @t202 @t231)) % 0.37/0.62 (define @t289 () (or @t11 @t15)) % 0.37/0.62 (define @t290 () (lambda @t36 @t289)) % 0.37/0.62 (define @t291 () (lambda @t207 @t289)) % 0.37/0.62 (define @t292 () (_ @t260 @t4)) % 0.37/0.62 (define @t293 () (or @t292 @t15)) % 0.37/0.62 (define @t294 () (lambda @t207 @t293)) % 0.37/0.62 (define @t295 () (not @t15)) % 0.37/0.62 (define @t296 () (or @t11 @t295)) % 0.37/0.62 (define @t297 () (lambda @t36 @t296)) % 0.37/0.62 (define @t298 () (_ @t297 @t4)) % 0.37/0.62 (define @t299 () (not @t298)) % 0.37/0.62 (define @t300 () (lambda @t36 @t299)) % 0.37/0.62 (define @t301 () (lambda @t36 @t295)) % 0.37/0.62 (define @t302 () (_ @t301 @t4)) % 0.37/0.62 (define @t303 () (or @t11 @t302)) % 0.37/0.62 (define @t304 () (lambda @t36 @t303)) % 0.37/0.62 (define @t305 () (not @t98)) % 0.37/0.62 (define @t306 () (forall @t41 (or (not (tptp.rel_k @t100 @t38)) @t88))) % 0.37/0.62 (define @t307 () (not @t306)) % 0.37/0.62 (define @t308 () (@quantifiers_skolemize @t98 1)) % 0.37/0.62 (define @t309 () (tptp.p @t308)) % 0.37/0.62 (define @t310 () (not @t309)) % 0.37/0.62 (define @t311 () (tptp.rel_k @t100 @t308)) % 0.37/0.62 (define @t312 () (not @t311)) % 0.37/0.62 (define @t313 () (or @t312 @t310)) % 0.37/0.62 (define @t314 () (and @t313 @t105)) % 0.37/0.62 (define @t315 () (or @t314 @t307)) % 0.37/0.62 (define @t316 () (not @t315)) % 0.37/0.62 (define @t317 () (@list true)) % 0.37/0.62 (define @t318 () (@list @t315)) % 0.37/0.62 (define @t319 () (and (not (tptp.p @t99)) @t103)) % 0.37/0.62 (define @t320 () (or @t104 @t319)) % 0.37/0.62 (define @t321 () (@list @t306)) % 0.37/0.62 (define @t322 () (@list @t313)) % 0.37/0.62 (define @t323 () (and @t310 (not (tptp.q @t308)))) % 0.37/0.62 (define @t324 () (or @t312 @t323)) % 0.37/0.62 (define @t325 () (@list false false)) % 0.37/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.62 (assume @p2 @t1) % 0.37/0.62 (assume @p3 true) % 0.37/0.62 (step @p4 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.37/0.62 (step @p5 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.37/0.62 (step @p6 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.37/0.62 (step @p7 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.37/0.62 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.37/0.62 (step @p9 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.37/0.62 (step @p10 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.37/0.62 (step @p11 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.37/0.62 (step @p12 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.37/0.62 (step @p13 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.37/0.62 (step @p14 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.37/0.62 (step @p15 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.37/0.62 (step @p16 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.37/0.62 (step @p17 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.37/0.62 (step @p18 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.37/0.62 (step @p19 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.37/0.62 (step @p20 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.37/0.62 (step @p21 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.37/0.62 (step @p22 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.37/0.62 (step @p23 (= tptp.mtransitive @t59) :rule refl :args (@t59)) % 0.37/0.62 (step @p24 (= tptp.meuclidean @t61) :rule refl :args (@t61)) % 0.37/0.62 (step @p25 (= tptp.mpartially_functional @t63) :rule refl :args (@t63)) % 0.37/0.62 (step @p26 (= tptp.mfunctional @t65) :rule refl :args (@t65)) % 0.37/0.62 (step @p27 (= tptp.mweakly_dense @t68) :rule refl :args (@t68)) % 0.37/0.62 (step @p28 (= tptp.mweakly_connected @t69) :rule refl :args (@t69)) % 0.37/0.62 (step @p29 (= tptp.mweakly_directed @t70) :rule refl :args (@t70)) % 0.37/0.62 (step @p30 (= tptp.mvalid @t73) :rule refl :args (@t73)) % 0.37/0.62 (step @p31 (= tptp.minvalid @t74) :rule refl :args (@t74)) % 0.37/0.62 (step @p32 (= tptp.msatisfiable @t75) :rule refl :args (@t75)) % 0.37/0.62 (step @p33 (= tptp.mcountersatisfiable @t76) :rule refl :args (@t76)) % 0.37/0.62 (step @p34 (= tptp.mbox_k @t81) :rule refl :args (@t81)) % 0.37/0.62 (step @p35 (= tptp.mdia_k @t83) :rule refl :args (@t83)) % 0.37/0.62 (step @p36 :rule bool-double-not-elim :args (@t101)) % 0.37/0.62 (step @p37 :rule refl :args (@t105)) % 0.37/0.62 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t105 (not @t104)))) % 0.37/0.62 (step @p39 :rule cnf_or_neg :args (@t105 0)) % 0.37/0.62 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.37/0.62 (step @p41 :rule 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(step @p440 :rule instantiate :premises (@p487) :args ((@list @t99))) % 0.37/0.62 (step-pop @p488 :rule scope :premises (@p440)) % 0.37/0.62 (step @p441 :rule process_scope :premises (@p488) :args (@t320)) % 0.37/0.62 (step @p443 :rule implies_elim :premises (@p441)) % 0.37/0.62 (step @p444 :rule chain_m_resolution :premises (@p443 @p438) :args (@t320 @t136 @t321)) % 0.37/0.62 (step @p445 :rule cnf_or_pos :args (@t320)) % 0.37/0.62 (step @p446 :rule reordering :premises (@p445) :args ((or @t104 @t319 (not @t320)))) % 0.37/0.62 (step @p447 :rule cnf_and_pos :args (@t319 1)) % 0.37/0.62 (step @p448 :rule reordering :premises (@p447) :args ((or @t103 (not @t319)))) % 0.37/0.62 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p444 @p46 @p41) :args (@t105 (@list false false false false) (@list @t319 @t320 @t102 @t101))) % 0.37/0.62 (step @p450 :rule cnf_or_neg :args (@t315 0)) % 0.37/0.62 (step @p451 :rule chain_m_resolution :premises (@p450 @p431) :args ((not @t314) @t317 @t318)) % 0.37/0.62 (step @p452 :rule cnf_and_neg :args (@t314)) % 0.37/0.62 (step @p453 :rule chain_m_resolution :premises (@p452 @p451 @p449) :args ((not @t313) (@list true false) (@list @t314 @t105))) % 0.37/0.62 (step @p454 :rule bool-double-not-elim :args (@t309)) % 0.37/0.62 (step @p455 :rule refl :args (@t313)) % 0.37/0.62 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t313 (not @t310)))) % 0.37/0.62 (step @p457 :rule cnf_or_neg :args (@t313 1)) % 0.37/0.62 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 0.37/0.62 (step @p459 :rule reordering :premises (@p458) :args ((or @t309 @t313))) % 0.37/0.62 (step @p460 :rule chain_m_resolution :premises (@p459 @p453) :args (@t309 @t317 @t322)) % 0.37/0.62 (assume-push @p489 @t306) % 0.37/0.62 (step @p462 :rule instantiate :premises (@p489) :args ((@list @t308))) % 0.37/0.62 (step-pop @p490 :rule scope :premises (@p462)) % 0.37/0.62 (step @p463 :rule process_scope :premises (@p490) :args (@t324)) % 0.37/0.62 (step @p465 :rule implies_elim :premises (@p463)) % 0.37/0.62 (step @p466 :rule chain_m_resolution :premises (@p465 @p438) :args (@t324 @t136 @t321)) % 0.37/0.62 (step @p467 :rule bool-double-not-elim :args (@t311)) % 0.37/0.62 (step @p468 :rule nary_cong :premises (@p455 @p467) :args ((or @t313 (not @t312)))) % 0.37/0.62 (step @p469 :rule cnf_or_neg :args (@t313 0)) % 0.37/0.62 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 0.37/0.62 (step @p471 :rule reordering :premises (@p470) :args ((or @t311 @t313))) % 0.37/0.62 (step @p472 :rule chain_m_resolution :premises (@p471 @p453) :args (@t311 @t317 @t322)) % 0.37/0.62 (step @p473 :rule cnf_or_pos :args (@t324)) % 0.37/0.62 (step @p474 :rule reordering :premises (@p473) :args ((or @t312 @t323 (not @t324)))) % 0.37/0.62 (step @p475 :rule chain_m_resolution :premises (@p474 @p472 @p466) :args (@t323 @t325 (@list @t311 @t324))) % 0.37/0.62 (step @p476 :rule cnf_and_pos :args (@t323 0)) % 0.37/0.62 (step @p477 :rule reordering :premises (@p476) :args ((or @t310 (not @t323)))) % 0.37/0.62 (step @p478 false :rule chain_m_resolution :premises (@p477 @p475 @p460) :args (false @t325 (@list @t323 @t309))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------