%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO414^1 : 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 : n004.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 09:12:36 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 : SYO414^1 : 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 % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 00:07:08 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.51 %----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 $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.r (-> $$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" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_k (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.62 (define @t1 () (_ tptp.mimplies (_ tptp.mbox_k tptp.p))) % 0.37/0.62 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mdia_k (_ (_ tptp.mimplies tptp.p) (_ (_ tptp.mand tptp.q) tptp.r)))) (_ (_ tptp.mand (_ @t1 (_ tptp.mdia_k tptp.q))) (_ @t1 (_ tptp.mdia_k tptp.r))))))) % 0.37/0.62 (define @t3 () (@var "Y" tptp.mu)) % 0.37/0.62 (define @t4 () (@var "X" tptp.mu)) % 0.37/0.62 (define @t5 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.37/0.62 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.62 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.62 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.37/0.62 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.62 (define @t11 () (_ @t10 @t5)) % 0.37/0.62 (define @t12 () (not @t11)) % 0.37/0.62 (define @t13 () (@list @t10 @t5)) % 0.37/0.62 (define @t14 () (lambda @t13 @t12)) % 0.37/0.62 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.62 (define @t16 () (_ @t15 @t5)) % 0.37/0.62 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.37/0.62 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.62 (define @t19 () (_ tptp.mnot @t15)) % 0.37/0.62 (define @t20 () (_ tptp.mnot @t10)) % 0.37/0.62 (define @t21 () (_ tptp.mor @t20)) % 0.37/0.62 (define @t22 () (@list @t10 @t15 @t18)) % 0.37/0.62 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.37/0.62 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.37/0.62 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.37/0.62 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.37/0.62 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.37/0.62 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.62 (define @t29 () (_ @t28 @t4)) % 0.37/0.62 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.37/0.62 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.62 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.62 (define @t33 () (_ @t32 @t31)) % 0.37/0.62 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.37/0.62 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.37/0.62 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.37/0.62 (define @t37 () (@list @t5)) % 0.37/0.62 (define @t38 () (lambda @t37 true)) % 0.37/0.62 (define @t39 () (@var "V" $$unsorted)) % 0.37/0.62 (define @t40 () (_ @t10 @t39)) % 0.37/0.62 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.62 (define @t42 () (@list @t39)) % 0.37/0.62 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.37/0.62 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.37/0.62 (define @t45 () (@var "S" $$unsorted)) % 0.37/0.62 (define @t46 () (_ @t41 @t45)) % 0.37/0.62 (define @t47 () (@list @t45)) % 0.37/0.62 (define @t48 () (@list @t41)) % 0.37/0.62 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.37/0.62 (define @t50 () (@var "T" $$unsorted)) % 0.37/0.62 (define @t51 () (_ @t41 @t50)) % 0.37/0.62 (define @t52 () (_ @t46 @t50)) % 0.37/0.62 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.37/0.62 (define @t54 () (@list @t50)) % 0.37/0.62 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.37/0.62 (define @t56 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t57 () (_ @t46 @t56)) % 0.37/0.62 (define @t58 () (_ @t51 @t56)) % 0.37/0.62 (define @t59 () (@list @t45 @t50 @t56)) % 0.37/0.62 (define @t60 () (lambda @t48 (forall @t59 (=> (and @t52 @t58) @t57)))) % 0.37/0.62 (define @t61 () (and @t52 @t57)) % 0.37/0.62 (define @t62 () (lambda @t48 (forall @t59 (=> @t61 @t58)))) % 0.37/0.62 (define @t63 () (= @t50 @t56)) % 0.37/0.62 (define @t64 () (lambda @t48 (forall @t59 (=> @t61 @t63)))) % 0.37/0.62 (define @t65 () (@list @t56)) % 0.37/0.62 (define @t66 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t65 (=> @t57 @t63))))))) % 0.37/0.62 (define @t67 () (_ @t41 @t56)) % 0.37/0.62 (define @t68 () (_ @t67 @t50)) % 0.37/0.62 (define @t69 () (lambda @t48 (forall @t59 (=> @t52 (exists @t65 (and @t57 @t68)))))) % 0.37/0.62 (define @t70 () (lambda @t48 (forall @t59 (=> @t61 (or @t58 @t63 @t68))))) % 0.37/0.62 (define @t71 () (lambda @t48 (forall @t59 (=> @t61 (exists @t42 (and (_ @t51 @t39) (_ @t67 @t39))))))) % 0.37/0.62 (define @t72 () (forall @t37 @t11)) % 0.37/0.62 (define @t73 () (@list @t10)) % 0.37/0.62 (define @t74 () (lambda @t73 @t72)) % 0.37/0.62 (define @t75 () (lambda @t73 (forall @t37 @t12))) % 0.37/0.62 (define @t76 () (lambda @t73 (exists @t37 @t11))) % 0.37/0.62 (define @t77 () (lambda @t73 (exists @t37 @t12))) % 0.37/0.62 (define @t78 () (_ (_ tptp.rel_k @t5) @t39)) % 0.37/0.62 (define @t79 () (not @t78)) % 0.37/0.62 (define @t80 () (or @t79 @t40)) % 0.37/0.62 (define @t81 () (forall @t42 @t80)) % 0.37/0.62 (define @t82 () (lambda @t13 @t81)) % 0.37/0.62 (define @t83 () (@list @t10 @t18)) % 0.37/0.62 (define @t84 () (lambda @t83 (_ (_ tptp.mnot (_ tptp.mbox_k @t20)) @t18))) % 0.37/0.62 (define @t85 () (@var "BOUND_VARIABLE_8569" $$unsorted)) % 0.37/0.62 (define @t86 () (and (tptp.p @t85) (or (not (tptp.q @t85)) (not (tptp.r @t85))))) % 0.37/0.62 (define @t87 () (not (tptp.rel_k @t5 @t85))) % 0.37/0.62 (define @t88 () (tptp.r @t39)) % 0.37/0.62 (define @t89 () (not @t88)) % 0.37/0.62 (define @t90 () (tptp.rel_k @t5 @t39)) % 0.37/0.62 (define @t91 () (not @t90)) % 0.37/0.62 (define @t92 () (tptp.p @t39)) % 0.37/0.62 (define @t93 () (forall @t42 (or @t91 @t92))) % 0.37/0.62 (define @t94 () (not @t93)) % 0.37/0.62 (define @t95 () (or @t94 (not (forall @t42 (or @t91 @t89))))) % 0.37/0.62 (define @t96 () (tptp.q @t39)) % 0.37/0.62 (define @t97 () (not @t96)) % 0.37/0.62 (define @t98 () (or @t94 (not (forall @t42 (or @t91 @t97))))) % 0.37/0.62 (define @t99 () (and @t98 @t95)) % 0.37/0.62 (define @t100 () (or @t99 @t87 @t86)) % 0.37/0.62 (define @t101 () (or @t87 @t86)) % 0.37/0.62 (define @t102 () (or @t101 @t99)) % 0.37/0.62 (define @t103 () (@list @t5 @t85)) % 0.37/0.62 (define @t104 () (forall @t103 @t102)) % 0.37/0.62 (define @t105 () (@list @t85)) % 0.37/0.62 (define @t106 () (forall @t105 @t102)) % 0.37/0.62 (define @t107 () (forall @t105 @t101)) % 0.37/0.62 (define @t108 () (or @t107 @t99)) % 0.37/0.62 (define @t109 () (and @t92 (or @t97 @t89))) % 0.37/0.62 (define @t110 () (forall @t42 (or @t91 @t109))) % 0.37/0.62 (define @t111 () (not @t95)) % 0.37/0.62 (define @t112 () (not @t98)) % 0.37/0.62 (define @t113 () (or @t110 (not (or @t112 @t111)))) % 0.37/0.62 (define @t114 () (not (tptp.rel_k @t18 @t39))) % 0.37/0.62 (define @t115 () (not (forall @t42 (or @t114 @t89)))) % 0.37/0.62 (define @t116 () (forall @t42 (or @t114 @t92))) % 0.37/0.62 (define @t117 () (not @t116)) % 0.37/0.62 (define @t118 () (or @t117 @t115)) % 0.37/0.62 (define @t119 () (not (forall @t42 (or @t114 @t97)))) % 0.37/0.62 (define @t120 () (or @t117 @t119)) % 0.37/0.62 (define @t121 () (not @t120)) % 0.37/0.62 (define @t122 () (not (or @t121 (not @t118)))) % 0.37/0.62 (define @t123 () (forall @t42 (or @t114 @t109))) % 0.37/0.62 (define @t124 () (@list @t18)) % 0.37/0.62 (define @t125 () (lambda @t124 (or @t123 @t122))) % 0.37/0.62 (define @t126 () (_ @t125 @t5)) % 0.37/0.62 (define @t127 () (forall @t37 @t126)) % 0.37/0.62 (define @t128 () (_ @t10 @t5)) % 0.37/0.62 (define @t129 () (lambda @t73 (forall @t37 @t128))) % 0.37/0.62 (define @t130 () (lambda @t124 @t122)) % 0.37/0.62 (define @t131 () (_ @t130 @t18)) % 0.37/0.62 (define @t132 () (or @t123 @t131)) % 0.37/0.62 (define @t133 () (lambda @t124 @t132)) % 0.37/0.62 (define @t134 () (_ @t15 @t18)) % 0.37/0.62 (define @t135 () (@list @t15 @t18)) % 0.37/0.62 (define @t136 () (lambda @t124 @t118)) % 0.37/0.62 (define @t137 () (_ @t136 @t18)) % 0.37/0.62 (define @t138 () (not @t137)) % 0.37/0.62 (define @t139 () (or @t121 @t138)) % 0.37/0.62 (define @t140 () (not @t139)) % 0.37/0.62 (define @t141 () (lambda @t124 @t140)) % 0.37/0.62 (define @t142 () (not @t134)) % 0.37/0.62 (define @t143 () (lambda @t124 @t115)) % 0.37/0.62 (define @t144 () (_ @t143 @t18)) % 0.37/0.62 (define @t145 () (or @t117 @t144)) % 0.37/0.62 (define @t146 () (lambda @t124 @t145)) % 0.37/0.62 (define @t147 () (lambda @t135 (or @t117 @t134))) % 0.37/0.62 (define @t148 () (_ @t10 @t39)) % 0.37/0.62 (define @t149 () (not @t148)) % 0.37/0.62 (define @t150 () (not (forall @t42 (or @t114 @t149)))) % 0.37/0.62 (define @t151 () (lambda @t83 @t150)) % 0.37/0.62 (define @t152 () (_ @t151 tptp.r)) % 0.37/0.62 (define @t153 () (lambda @t37 @t93)) % 0.37/0.62 (define @t154 () (_ @t153 @t18)) % 0.37/0.62 (define @t155 () (not @t154)) % 0.37/0.62 (define @t156 () (or @t155 @t134)) % 0.37/0.62 (define @t157 () (lambda @t135 @t156)) % 0.37/0.62 (define @t158 () (not (_ @t10 @t18))) % 0.37/0.62 (define @t159 () (or @t158 @t134)) % 0.37/0.62 (define @t160 () (lambda @t22 @t159)) % 0.37/0.62 (define @t161 () (lambda @t13 (forall @t42 (or @t91 @t148)))) % 0.37/0.62 (define @t162 () (_ @t161 tptp.p)) % 0.37/0.62 (define @t163 () (lambda @t124 @t120)) % 0.37/0.62 (define @t164 () (_ @t163 @t18)) % 0.37/0.62 (define @t165 () (not @t164)) % 0.37/0.62 (define @t166 () (or @t165 @t142)) % 0.37/0.62 (define @t167 () (not @t166)) % 0.37/0.62 (define @t168 () (lambda @t135 @t167)) % 0.37/0.62 (define @t169 () (not (or @t158 @t142))) % 0.37/0.62 (define @t170 () (lambda @t22 @t169)) % 0.37/0.62 (define @t171 () (lambda @t124 @t119)) % 0.37/0.62 (define @t172 () (_ @t171 @t18)) % 0.37/0.62 (define @t173 () (or @t117 @t172)) % 0.37/0.62 (define @t174 () (lambda @t124 @t173)) % 0.37/0.62 (define @t175 () (_ @t151 tptp.q)) % 0.37/0.62 (define @t176 () (not @t123)) % 0.37/0.62 (define @t177 () (lambda @t124 @t176)) % 0.37/0.62 (define @t178 () (_ @t177 @t18)) % 0.37/0.62 (define @t179 () (not @t178)) % 0.37/0.62 (define @t180 () (or @t179 @t134)) % 0.37/0.62 (define @t181 () (lambda @t135 @t180)) % 0.37/0.62 (define @t182 () (_ tptp.r @t39)) % 0.37/0.62 (define @t183 () (not @t182)) % 0.37/0.62 (define @t184 () (_ tptp.q @t39)) % 0.37/0.62 (define @t185 () (not @t184)) % 0.37/0.62 (define @t186 () (or @t185 @t183)) % 0.37/0.62 (define @t187 () (_ tptp.p @t39)) % 0.37/0.62 (define @t188 () (and @t187 @t186)) % 0.37/0.62 (define @t189 () (or @t114 @t188)) % 0.37/0.62 (define @t190 () (not @t186)) % 0.37/0.62 (define @t191 () (not @t187)) % 0.37/0.62 (define @t192 () (or @t191 @t190)) % 0.37/0.62 (define @t193 () (or @t114 (not @t192))) % 0.37/0.62 (define @t194 () (not (_ tptp.q @t18))) % 0.37/0.62 (define @t195 () (not (or @t194 (not (_ tptp.r @t18))))) % 0.37/0.62 (define @t196 () (not (_ tptp.p @t18))) % 0.37/0.62 (define @t197 () (lambda @t124 (or @t196 @t195))) % 0.37/0.62 (define @t198 () (_ @t197 @t39)) % 0.37/0.62 (define @t199 () (not @t198)) % 0.37/0.62 (define @t200 () (or @t114 @t199)) % 0.37/0.62 (define @t201 () (forall @t42 @t200)) % 0.37/0.62 (define @t202 () (not @t201)) % 0.37/0.62 (define @t203 () (lambda @t124 @t202)) % 0.37/0.62 (define @t204 () (lambda @t124 @t195)) % 0.37/0.62 (define @t205 () (_ @t204 @t18)) % 0.37/0.62 (define @t206 () (or @t196 @t205)) % 0.37/0.62 (define @t207 () (lambda @t124 @t206)) % 0.37/0.62 (define @t208 () (lambda @t135 (or @t196 @t134))) % 0.37/0.62 (define @t209 () (lambda @t135 (not (or @t194 @t142)))) % 0.37/0.62 (define @t210 () (_ @t170 tptp.q)) % 0.37/0.62 (define @t211 () (_ @t160 tptp.p)) % 0.37/0.62 (define @t212 () (_ @t160 @t162)) % 0.37/0.62 (define @t213 () (forall @t42 (or @t91 @t149))) % 0.37/0.62 (define @t214 () (lambda @t37 @t213)) % 0.37/0.62 (define @t215 () (_ @t214 @t5)) % 0.37/0.62 (define @t216 () (not @t215)) % 0.37/0.62 (define @t217 () (lambda @t37 @t216)) % 0.37/0.62 (define @t218 () (not @t40)) % 0.37/0.62 (define @t219 () (or @t91 @t218)) % 0.37/0.62 (define @t220 () (lambda @t37 @t12)) % 0.37/0.62 (define @t221 () (_ @t220 @t39)) % 0.37/0.62 (define @t222 () (or @t91 @t221)) % 0.37/0.62 (define @t223 () (forall @t42 @t222)) % 0.37/0.62 (define @t224 () (lambda @t37 @t223)) % 0.37/0.62 (define @t225 () (or @t12 @t16)) % 0.37/0.62 (define @t226 () (lambda @t37 @t225)) % 0.37/0.62 (define @t227 () (@list @t15 @t5)) % 0.37/0.62 (define @t228 () (lambda @t227 @t225)) % 0.37/0.62 (define @t229 () (_ @t220 @t5)) % 0.37/0.62 (define @t230 () (or @t229 @t16)) % 0.37/0.62 (define @t231 () (lambda @t227 @t230)) % 0.37/0.62 (define @t232 () (not @t16)) % 0.37/0.62 (define @t233 () (or @t12 @t232)) % 0.37/0.62 (define @t234 () (lambda @t37 @t233)) % 0.37/0.62 (define @t235 () (_ @t234 @t5)) % 0.37/0.62 (define @t236 () (not @t235)) % 0.37/0.62 (define @t237 () (lambda @t37 @t236)) % 0.37/0.62 (define @t238 () (lambda @t37 @t232)) % 0.37/0.62 (define @t239 () (_ @t238 @t5)) % 0.37/0.62 (define @t240 () (or @t12 @t239)) % 0.37/0.62 (define @t241 () (lambda @t37 @t240)) % 0.37/0.62 (define @t242 () (forall @t103 @t100)) % 0.37/0.62 (define @t243 () (@quantifiers_skolemize @t242 1)) % 0.37/0.62 (define @t244 () (tptp.r @t243)) % 0.37/0.62 (define @t245 () (not @t244)) % 0.37/0.62 (define @t246 () (tptp.q @t243)) % 0.37/0.62 (define @t247 () (not @t246)) % 0.37/0.62 (define @t248 () (or @t247 @t245)) % 0.37/0.62 (define @t249 () (tptp.p @t243)) % 0.37/0.62 (define @t250 () (and @t249 @t248)) % 0.37/0.62 (define @t251 () (@quantifiers_skolemize @t242 0)) % 0.37/0.62 (define @t252 () (tptp.rel_k @t251 @t243)) % 0.37/0.62 (define @t253 () (not @t252)) % 0.37/0.62 (define @t254 () (not (tptp.rel_k @t251 @t39))) % 0.37/0.62 (define @t255 () (forall @t42 (or @t254 @t89))) % 0.37/0.62 (define @t256 () (not @t255)) % 0.37/0.62 (define @t257 () (forall @t42 (or @t254 @t92))) % 0.37/0.62 (define @t258 () (not @t257)) % 0.37/0.62 (define @t259 () (or @t258 @t256)) % 0.37/0.62 (define @t260 () (forall @t42 (or @t254 @t97))) % 0.37/0.62 (define @t261 () (not @t260)) % 0.37/0.62 (define @t262 () (or @t258 @t261)) % 0.37/0.62 (define @t263 () (and @t262 @t259)) % 0.37/0.62 (define @t264 () (or @t263 @t253 @t250)) % 0.37/0.62 (define @t265 () (@list true)) % 0.37/0.62 (define @t266 () (@list @t264)) % 0.37/0.62 (define @t267 () (or @t253 @t247)) % 0.37/0.62 (define @t268 () (@list @t243)) % 0.37/0.62 (define @t269 () (or @t253 @t245)) % 0.37/0.62 (define @t270 () (or @t253 @t249)) % 0.37/0.62 (define @t271 () (not @t270)) % 0.37/0.62 (define @t272 () (not @t258)) % 0.37/0.62 (define @t273 () (@list @t257)) % 0.37/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.62 (assume @p2 @t2) % 0.37/0.62 (assume @p3 true) % 0.37/0.62 (step @p4 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.37/0.62 (step @p5 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.37/0.62 (step @p6 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.37/0.62 (step @p7 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.37/0.62 (step @p8 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.37/0.62 (step @p9 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.37/0.62 (step @p10 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.37/0.62 (step @p11 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.37/0.62 (step @p12 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.37/0.62 (step @p13 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.37/0.62 (step @p14 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.37/0.62 (step @p15 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.37/0.62 (step @p16 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.37/0.62 (step @p17 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.37/0.62 (step @p18 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.62 (step @p19 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.62 (step @p20 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.37/0.62 (step @p21 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.37/0.62 (step @p22 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.37/0.62 (step @p23 (= tptp.mtransitive @t60) :rule refl :args (@t60)) % 0.37/0.62 (step @p24 (= tptp.meuclidean @t62) :rule refl :args (@t62)) % 0.37/0.62 (step @p25 (= tptp.mpartially_functional @t64) :rule refl :args (@t64)) % 0.37/0.62 (step @p26 (= tptp.mfunctional @t66) :rule refl :args (@t66)) % 0.37/0.62 (step @p27 (= tptp.mweakly_dense @t69) :rule refl :args (@t69)) % 0.37/0.62 (step @p28 (= tptp.mweakly_connected @t70) :rule refl :args (@t70)) % 0.37/0.62 (step @p29 (= tptp.mweakly_directed @t71) :rule refl :args (@t71)) % 0.37/0.62 (step @p30 (= tptp.mvalid @t74) :rule refl :args (@t74)) % 0.37/0.62 (step @p31 (= tptp.minvalid @t75) :rule refl :args (@t75)) % 0.37/0.62 (step @p32 (= tptp.msatisfiable @t76) :rule refl :args (@t76)) % 0.37/0.62 (step @p33 (= tptp.mcountersatisfiable @t77) :rule refl :args (@t77)) % 0.37/0.62 (step @p34 (= tptp.mbox_k @t82) :rule refl :args (@t82)) % 0.37/0.62 (step @p35 (= tptp.mdia_k @t84) :rule refl :args (@t84)) % 0.37/0.62 (step @p36 :rule aci_norm :args ((= @t102 @t100))) % 0.37/0.62 (step @p37 :rule cong :premises (@p36) :args (@t104)) % 0.37/0.62 (step @p38 :rule quant-merge-prenex :args ((= (forall @t37 @t106) @t104))) % 0.37/0.62 (step @p39 :rule refl :args (@t99)) % 0.37/0.62 (step @p40 :rule alpha_equiv :args (@t107 (@list @t85) (@list @t39))) % 0.37/0.62 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t108)) % 0.37/0.62 (step @p42 :rule quant-miniscope-or :args ((= @t106 @t108))) % 0.37/0.62 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.62 (step @p44 :rule symm :premises (@p43)) % 0.37/0.62 (step @p45 :rule cong :premises (@p44) :args ((forall @t37 (or @t110 @t99)))) % 0.37/0.62 (step @p46 :rule trans :premises (@p45 @p38)) % 0.37/0.62 (step @p47 :rule trans :premises (@p46 @p37)) % 0.37/0.62 (step @p48 :rule bool-double-not-elim :args (@t95)) % 0.37/0.62 (step @p49 :rule bool-double-not-elim :args (@t98)) % 0.37/0.62 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((and (not @t112) (not @t111)))) % 0.37/0.62 (step @p51 :rule bool-or-de-morgan :args (@t112 @t111 false)) % 0.37/0.62 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.62 (step @p53 :rule refl :args (@t110)) % 0.37/0.62 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t113)) % 0.37/0.62 (step @p55 :rule cong :premises (@p54) :args ((forall @t37 @t113))) % 0.37/0.62 (step @p56 :rule trans :premises (@p55 @p47)) % 0.37/0.62 (step @p57 :rule beta-reduce :args ((= @t126 @t113))) % 0.37/0.62 (step @p58 :rule cong :premises (@p57) :args (@t127)) % 0.37/0.62 (step @p59 :rule trans :premises (@p58 @p56)) % 0.37/0.62 (step @p60 :rule beta-reduce :args ((= (_ @t129 @t125) @t127))) % 0.37/0.62 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.62 (step @p62 :rule beta-reduce :args ((= @t131 @t122))) % 0.37/0.62 (step @p63 :rule refl :args (@t123)) % 0.37/0.62 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t132)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args (@t133)) % 0.37/0.62 (step @p66 :rule beta-reduce :args ((= (_ (lambda @t135 (or @t123 @t134)) @t130) @t133))) % 0.37/0.62 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.62 (step @p68 :rule beta-reduce :args ((= @t137 @t118))) % 0.37/0.62 (step @p69 :rule cong :premises (@p68) :args (@t138)) % 0.37/0.62 (step @p70 :rule refl :args (@t121)) % 0.37/0.62 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t139)) % 0.37/0.62 (step @p72 :rule cong :premises (@p71) :args (@t140)) % 0.37/0.62 (step @p73 :rule cong :premises (@p72) :args (@t141)) % 0.37/0.62 (step @p74 :rule beta-reduce :args ((= (_ (lambda @t135 (not (or @t121 @t142))) @t136) @t141))) % 0.37/0.62 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.62 (step @p76 :rule beta-reduce :args ((= @t144 @t115))) % 0.37/0.62 (step @p77 :rule refl :args (@t117)) % 0.37/0.62 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t145)) % 0.37/0.62 (step @p79 :rule cong :premises (@p78) :args (@t146)) % 0.37/0.62 (step @p80 :rule beta-reduce :args ((= (_ @t147 @t143) @t146))) % 0.37/0.62 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.62 (step @p82 :rule beta-reduce :args ((= @t152 @t143))) % 0.37/0.62 (step @p83 :rule refl :args (@t134)) % 0.37/0.62 (step @p84 :rule beta-reduce :args ((= @t154 @t116))) % 0.37/0.62 (step @p85 :rule cong :premises (@p84) :args (@t155)) % 0.37/0.62 (step @p86 :rule nary_cong :premises (@p85 @p83) :args (@t156)) % 0.37/0.62 (step @p87 :rule cong :premises (@p86) :args (@t157)) % 0.37/0.62 (step @p88 :rule beta-reduce :args ((= (_ @t160 @t153) @t157))) % 0.37/0.62 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.62 (step @p90 :rule beta-reduce :args ((= @t162 @t153))) % 0.37/0.62 (step @p91 :rule refl :args (@t160)) % 0.37/0.62 (step @p92 :rule ho_cong :premises (@p91 @p90)) % 0.37/0.62 (step @p93 :rule trans :premises (@p92 @p89)) % 0.37/0.62 (step @p94 :rule ho_cong :premises (@p93 @p82)) % 0.37/0.62 (step @p95 :rule trans :premises (@p94 @p81)) % 0.37/0.62 (step @p96 :rule refl :args (@t142)) % 0.37/0.62 (step @p97 :rule beta-reduce :args ((= @t164 @t120))) % 0.37/0.62 (step @p98 :rule cong :premises (@p97) :args (@t165)) % 0.37/0.62 (step @p99 :rule nary_cong :premises (@p98 @p96) :args (@t166)) % 0.37/0.62 (step @p100 :rule cong :premises (@p99) :args (@t167)) % 0.37/0.62 (step @p101 :rule cong :premises (@p100) :args (@t168)) % 0.37/0.62 (step @p102 :rule beta-reduce :args ((= (_ @t170 @t163) @t168))) % 0.37/0.62 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.62 (step @p104 :rule beta-reduce :args ((= @t172 @t119))) % 0.37/0.62 (step @p105 :rule nary_cong :premises (@p77 @p104) :args (@t173)) % 0.37/0.62 (step @p106 :rule cong :premises (@p105) :args (@t174)) % 0.37/0.62 (step @p107 :rule beta-reduce :args ((= (_ @t147 @t171) @t174))) % 0.37/0.62 (step @p108 :rule trans :premises (@p107 @p106)) % 0.37/0.62 (step @p109 :rule beta-reduce :args ((= @t175 @t171))) % 0.37/0.62 (step @p110 :rule ho_cong :premises (@p93 @p109)) % 0.37/0.62 (step @p111 :rule trans :premises (@p110 @p108)) % 0.37/0.62 (step @p112 :rule refl :args (@t170)) % 0.37/0.62 (step @p113 :rule ho_cong :premises (@p112 @p111)) % 0.37/0.62 (step @p114 :rule trans :premises (@p113 @p103)) % 0.37/0.62 (step @p115 :rule ho_cong :premises (@p114 @p95)) % 0.37/0.62 (step @p116 :rule trans :premises (@p115 @p75)) % 0.37/0.62 (step @p117 :rule bool-double-not-elim :args (@t123)) % 0.37/0.62 (step @p118 :rule beta-reduce :args ((= @t178 @t176))) % 0.37/0.62 (step @p119 :rule cong :premises (@p118) :args (@t179)) % 0.37/0.62 (step @p120 :rule trans :premises (@p119 @p117)) % 0.37/0.62 (step @p121 :rule nary_cong :premises (@p120 @p83) :args (@t180)) % 0.37/0.62 (step @p122 :rule cong :premises (@p121) :args (@t181)) % 0.37/0.62 (step @p123 :rule beta-reduce :args ((= (_ @t160 @t177) @t181))) % 0.37/0.62 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.62 (step @p125 :rule refl :args (@t88)) % 0.37/0.62 (step @p126 :rule refl :args (@t182)) % 0.37/0.62 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t182 @t88))) % 0.37/0.62 (step @p128 :rule symm :premises (@p127)) % 0.37/0.62 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.37/0.62 (step @p130 :rule cong :premises (@p129) :args (@t183)) % 0.37/0.62 (step @p131 :rule refl :args (@t96)) % 0.37/0.62 (step @p132 :rule refl :args (@t184)) % 0.37/0.62 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t184 @t96))) % 0.37/0.62 (step @p134 :rule symm :premises (@p133)) % 0.37/0.62 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.37/0.62 (step @p136 :rule cong :premises (@p135) :args (@t185)) % 0.37/0.62 (step @p137 :rule nary_cong :premises (@p136 @p130) :args (@t186)) % 0.37/0.62 (step @p138 :rule refl :args (@t92)) % 0.37/0.62 (step @p139 :rule refl :args (@t187)) % 0.37/0.62 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t187 @t92))) % 0.37/0.62 (step @p141 :rule symm :premises (@p140)) % 0.37/0.62 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 0.37/0.62 (step @p143 :rule nary_cong :premises (@p142 @p137) :args (@t188)) % 0.37/0.62 (step @p144 :rule refl :args (@t114)) % 0.37/0.62 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t189)) % 0.37/0.62 (step @p146 :rule cong :premises (@p145) :args ((forall @t42 @t189))) % 0.37/0.62 (step @p147 :rule bool-double-not-elim :args (@t186)) % 0.37/0.62 (step @p148 :rule bool-double-not-elim :args (@t187)) % 0.37/0.62 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((and (not @t191) (not @t190)))) % 0.37/0.62 (step @p150 :rule bool-or-de-morgan :args (@t191 @t190 false)) % 0.37/0.62 (step @p151 :rule trans :premises (@p150 @p149)) % 0.37/0.62 (step @p152 :rule nary_cong :premises (@p144 @p151) :args (@t193)) % 0.37/0.62 (step @p153 :rule cong :premises (@p152) :args ((forall @t42 @t193))) % 0.37/0.62 (step @p154 :rule trans :premises (@p153 @p146)) % 0.37/0.62 (step @p155 :rule beta-reduce :args ((= @t198 @t192))) % 0.37/0.62 (step @p156 :rule cong :premises (@p155) :args (@t199)) % 0.37/0.62 (step @p157 :rule refl :args (@t114)) % 0.37/0.62 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t200)) % 0.37/0.62 (step @p159 :rule cong :premises (@p158) :args (@t201)) % 0.37/0.62 (step @p160 :rule trans :premises (@p159 @p154)) % 0.37/0.62 (step @p161 :rule cong :premises (@p160) :args (@t202)) % 0.37/0.62 (step @p162 :rule cong :premises (@p161) :args (@t203)) % 0.37/0.62 (step @p163 :rule beta-reduce :args ((= (_ @t151 @t197) @t203))) % 0.37/0.62 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.62 (step @p165 :rule beta-reduce :args ((= @t205 @t195))) % 0.37/0.62 (step @p166 :rule refl :args (@t196)) % 0.37/0.62 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t206)) % 0.37/0.62 (step @p168 :rule cong :premises (@p167) :args (@t207)) % 0.37/0.62 (step @p169 :rule beta-reduce :args ((= (_ @t208 @t204) @t207))) % 0.37/0.62 (step @p170 :rule trans :premises (@p169 @p168)) % 0.37/0.62 (step @p171 :rule beta-reduce :args ((= (_ @t209 tptp.r) @t204))) % 0.37/0.62 (step @p172 :rule refl :args (tptp.r)) % 0.37/0.62 (step @p173 :rule beta-reduce :args ((= @t210 @t209))) % 0.37/0.62 (step @p174 :rule ho_cong :premises (@p173 @p172)) % 0.37/0.62 (step @p175 :rule trans :premises (@p174 @p171)) % 0.37/0.62 (step @p176 :rule beta-reduce :args ((= @t211 @t208))) % 0.37/0.62 (step @p177 :rule ho_cong :premises (@p176 @p175)) % 0.37/0.62 (step @p178 :rule trans :premises (@p177 @p170)) % 0.37/0.62 (step @p179 :rule refl :args (@t151)) % 0.37/0.62 (step @p180 :rule ho_cong :premises (@p179 @p178)) % 0.37/0.62 (step @p181 :rule trans :premises (@p180 @p164)) % 0.37/0.62 (step @p182 :rule ho_cong :premises (@p91 @p181)) % 0.37/0.62 (step @p183 :rule trans :premises (@p182 @p124)) % 0.37/0.62 (step @p184 :rule ho_cong :premises (@p183 @p116)) % 0.37/0.62 (step @p185 :rule trans :premises (@p184 @p67)) % 0.37/0.62 (step @p186 :rule refl :args (@t129)) % 0.37/0.62 (step @p187 :rule ho_cong :premises (@p186 @p185)) % 0.37/0.62 (step @p188 :rule trans :premises (@p187 @p61)) % 0.37/0.62 (step @p189 :rule cong :premises (@p188) :args ((not (_ @t129 (_ (_ @t160 (_ @t151 (_ @t211 (_ @t210 tptp.r)))) (_ (_ @t170 (_ @t212 @t175)) (_ @t212 @t152))))))) % 0.37/0.62 (step @p190 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t213)) @t18) @t150))) % 0.37/0.62 (step @p191 :rule refl :args (@t18)) % 0.37/0.62 (step @p192 :rule beta-reduce :args ((= @t215 @t213))) % 0.37/0.62 (step @p193 :rule cong :premises (@p192) :args (@t216)) % 0.37/0.62 (step @p194 :rule cong :premises (@p193) :args (@t217)) % 0.37/0.62 (step @p195 :rule beta-reduce :args ((= (_ @t14 @t214) @t217))) % 0.37/0.62 (step @p196 :rule trans :premises (@p195 @p194)) % 0.37/0.62 (step @p197 :rule refl :args (@t148)) % 0.37/0.62 (step @p198 :rule refl :args (@t40)) % 0.37/0.62 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t40 @t148))) % 0.37/0.62 (step @p200 :rule symm :premises (@p199)) % 0.37/0.62 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 0.37/0.62 (step @p202 :rule cong :premises (@p201) :args (@t218)) % 0.37/0.62 (step @p203 :rule refl :args (@t91)) % 0.37/0.62 (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t219)) % 0.37/0.62 (step @p205 :rule cong :premises (@p204) :args ((forall @t42 @t219))) % 0.37/0.62 (step @p206 :rule beta-reduce :args ((= @t221 @t218))) % 0.37/0.62 (step @p207 :rule refl :args (@t91)) % 0.37/0.62 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t222)) % 0.37/0.62 (step @p209 :rule cong :premises (@p208) :args (@t223)) % 0.37/0.62 (step @p210 :rule trans :premises (@p209 @p205)) % 0.37/0.62 (step @p211 :rule cong :premises (@p210) :args (@t224)) % 0.37/0.62 (step @p212 :rule beta-reduce :args ((= (_ @t161 @t220) @t224))) % 0.37/0.62 (step @p213 :rule trans :premises (@p212 @p211)) % 0.37/0.62 (step @p214 :rule beta-reduce :args ((= (_ @t14 @t10) @t220))) % 0.37/0.62 (step @p215 :rule refl :args (@t161)) % 0.37/0.62 (step @p216 :rule ho_cong :premises (@p215 @p214)) % 0.37/0.62 (step @p217 :rule trans :premises (@p216 @p213)) % 0.37/0.62 (step @p218 :rule refl :args (@t14)) % 0.37/0.62 (step @p219 :rule ho_cong :premises (@p218 @p217)) % 0.37/0.62 (step @p220 :rule trans :premises (@p219 @p196)) % 0.37/0.62 (step @p221 :rule ho_cong :premises (@p220 @p191)) % 0.37/0.62 (step @p222 :rule trans :premises (@p221 @p190)) % 0.37/0.62 (step @p223 :rule refl :args (@t10)) % 0.37/0.62 (step @p224 :rule ho_cong :premises (@p6 @p223)) % 0.37/0.62 (step @p225 :rule refl :args (@t90)) % 0.37/0.62 (step @p226 :rule refl :args (@t78)) % 0.37/0.62 (step @p227 :rule cong :premises (@p226 @p225) :args ((= @t78 @t90))) % 0.37/0.62 (step @p228 :rule symm :premises (@p227)) % 0.37/0.62 (step @p229 :rule eq_resolve :premises (@p226 @p228)) % 0.37/0.62 (step @p230 :rule cong :premises (@p229) :args (@t79)) % 0.37/0.62 (step @p231 :rule nary_cong :premises (@p230 @p201) :args (@t80)) % 0.37/0.62 (step @p232 :rule cong :premises (@p231) :args (@t81)) % 0.37/0.62 (step @p233 :rule cong :premises (@p232) :args (@t82)) % 0.37/0.62 (step @p234 :rule trans :premises (@p34 @p233)) % 0.37/0.62 (step @p235 :rule ho_cong :premises (@p234 @p224)) % 0.37/0.62 (step @p236 :rule ho_cong :premises (@p6 @p235)) % 0.37/0.62 (step @p237 :rule ho_cong :premises (@p236 @p191)) % 0.37/0.62 (step @p238 :rule trans :premises (@p237 @p222)) % 0.37/0.62 (step @p239 :rule cong :premises (@p238) :args (@t84)) % 0.37/0.62 (step @p240 :rule trans :premises (@p35 @p239)) % 0.37/0.62 (step @p241 :rule ho_cong :premises (@p240 @p172)) % 0.37/0.62 (step @p242 :rule refl :args (tptp.p)) % 0.37/0.62 (step @p243 :rule ho_cong :premises (@p234 @p242)) % 0.37/0.62 (step @p244 :rule beta-reduce :args ((= (_ @t226 @t18) @t159))) % 0.37/0.62 (step @p245 :rule beta-reduce :args ((= (_ @t228 @t15) @t226))) % 0.37/0.62 (step @p246 :rule refl :args (@t15)) % 0.37/0.62 (step @p247 :rule refl :args (@t16)) % 0.37/0.62 (step @p248 :rule beta-reduce :args ((= @t229 @t12))) % 0.37/0.62 (step @p249 :rule nary_cong :premises (@p248 @p247) :args (@t230)) % 0.37/0.62 (step @p250 :rule cong :premises (@p249) :args (@t231)) % 0.37/0.62 (step @p251 :rule beta-reduce :args ((= (_ @t17 @t220) @t231))) % 0.37/0.62 (step @p252 :rule trans :premises (@p251 @p250)) % 0.37/0.62 (step @p253 :rule refl :args (@t17)) % 0.37/0.62 (step @p254 :rule ho_cong :premises (@p253 @p214)) % 0.37/0.62 (step @p255 :rule trans :premises (@p254 @p252)) % 0.37/0.62 (step @p256 :rule ho_cong :premises (@p255 @p246)) % 0.37/0.62 (step @p257 :rule trans :premises (@p256 @p245)) % 0.37/0.62 (step @p258 :rule ho_cong :premises (@p257 @p191)) % 0.37/0.62 (step @p259 :rule trans :premises (@p258 @p244)) % 0.37/0.62 (step @p260 :rule ho_cong :premises (@p7 @p224)) % 0.37/0.62 (step @p261 :rule ho_cong :premises (@p260 @p246)) % 0.37/0.62 (step @p262 :rule ho_cong :premises (@p261 @p191)) % 0.37/0.62 (step @p263 :rule trans :premises (@p262 @p259)) % 0.37/0.62 (step @p264 :rule cong :premises (@p263) :args (@t24)) % 0.37/0.62 (step @p265 :rule trans :premises (@p9 @p264)) % 0.37/0.62 (step @p266 :rule ho_cong :premises (@p265 @p243)) % 0.37/0.62 (step @p267 :rule ho_cong :premises (@p266 @p241)) % 0.37/0.62 (step @p268 :rule refl :args (tptp.q)) % 0.37/0.62 (step @p269 :rule ho_cong :premises (@p240 @p268)) % 0.37/0.62 (step @p270 :rule ho_cong :premises (@p266 @p269)) % 0.37/0.62 (step @p271 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t233)) @t18) @t169))) % 0.37/0.62 (step @p272 :rule beta-reduce :args ((= @t235 @t233))) % 0.37/0.62 (step @p273 :rule cong :premises (@p272) :args (@t236)) % 0.37/0.62 (step @p274 :rule cong :premises (@p273) :args (@t237)) % 0.37/0.62 (step @p275 :rule beta-reduce :args ((= (_ @t14 @t234) @t237))) % 0.37/0.62 (step @p276 :rule trans :premises (@p275 @p274)) % 0.37/0.62 (step @p277 :rule beta-reduce :args ((= @t239 @t232))) % 0.37/0.62 (step @p278 :rule refl :args (@t12)) % 0.37/0.62 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t240)) % 0.37/0.62 (step @p280 :rule cong :premises (@p279) :args (@t241)) % 0.37/0.62 (step @p281 :rule beta-reduce :args ((= (_ @t228 @t238) @t241))) % 0.37/0.62 (step @p282 :rule trans :premises (@p281 @p280)) % 0.37/0.62 (step @p283 :rule beta-reduce :args ((= (_ @t14 @t15) @t238))) % 0.37/0.62 (step @p284 :rule ho_cong :premises (@p255 @p283)) % 0.37/0.62 (step @p285 :rule trans :premises (@p284 @p282)) % 0.37/0.62 (step @p286 :rule ho_cong :premises (@p218 @p285)) % 0.37/0.62 (step @p287 :rule trans :premises (@p286 @p276)) % 0.37/0.62 (step @p288 :rule ho_cong :premises (@p287 @p191)) % 0.37/0.62 (step @p289 :rule trans :premises (@p288 @p271)) % 0.37/0.62 (step @p290 :rule ho_cong :premises (@p6 @p246)) % 0.37/0.62 (step @p291 :rule ho_cong :premises (@p260 @p290)) % 0.37/0.62 (step @p292 :rule ho_cong :premises (@p6 @p291)) % 0.37/0.62 (step @p293 :rule ho_cong :premises (@p292 @p191)) % 0.37/0.62 (step @p294 :rule trans :premises (@p293 @p289)) % 0.37/0.62 (step @p295 :rule cong :premises (@p294) :args (@t23)) % 0.37/0.62 (step @p296 :rule trans :premises (@p8 @p295)) % 0.37/0.62 (step @p297 :rule ho_cong :premises (@p296 @p270)) % 0.37/0.62 (step @p298 :rule ho_cong :premises (@p297 @p267)) % 0.37/0.62 (step @p299 :rule ho_cong :premises (@p296 @p268)) % 0.37/0.62 (step @p300 :rule ho_cong :premises (@p299 @p172)) % 0.37/0.62 (step @p301 :rule ho_cong :premises (@p265 @p242)) % 0.37/0.62 (step @p302 :rule ho_cong :premises (@p301 @p300)) % 0.37/0.62 (step @p303 :rule ho_cong :premises (@p240 @p302)) % 0.37/0.62 (step @p304 :rule ho_cong :premises (@p265 @p303)) % 0.37/0.62 (step @p305 :rule ho_cong :premises (@p304 @p298)) % 0.37/0.62 (step @p306 :rule refl :args (@t128)) % 0.37/0.62 (step @p307 :rule refl :args (@t11)) % 0.37/0.62 (step @p308 :rule cong :premises (@p307 @p306) :args ((= @t11 @t128))) % 0.37/0.62 (step @p309 :rule symm :premises (@p308)) % 0.37/0.62 (step @p310 :rule eq_resolve :premises (@p307 @p309)) % 0.37/0.62 (step @p311 :rule cong :premises (@p310) :args (@t72)) % 0.37/0.62 (step @p312 :rule cong :premises (@p311) :args (@t74)) % 0.37/0.62 (step @p313 :rule trans :premises (@p30 @p312)) % 0.37/0.62 (step @p314 :rule ho_cong :premises (@p313 @p305)) % 0.37/0.62 (step @p315 :rule cong :premises (@p314) :args (@t2)) % 0.37/0.62 (step @p316 :rule trans :premises (@p315 @p189)) % 0.37/0.62 (step @p317 :rule eq_resolve :premises (@p2 @p316)) % 0.37/0.62 (step @p318 :rule skolemize :premises (@p317)) % 0.37/0.62 (step @p319 :rule cnf_or_neg :args (@t264 0)) % 0.37/0.62 (step @p320 :rule chain_m_resolution :premises (@p319 @p318) :args ((not @t263) @t265 @t266)) % 0.37/0.62 (step @p321 :rule bool-double-not-elim :args (@t246)) % 0.37/0.62 (step @p322 :rule refl :args (@t248)) % 0.37/0.62 (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t248 (not @t247)))) % 0.37/0.62 (step @p324 :rule cnf_or_neg :args (@t248 0)) % 0.37/0.62 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 0.37/0.62 (step @p326 :rule reordering :premises (@p325) :args ((or @t246 @t248))) % 0.37/0.62 (step @p327 :rule bool-double-not-elim :args (@t244)) % 0.37/0.62 (step @p328 :rule nary_cong :premises (@p322 @p327) :args ((or @t248 (not @t245)))) % 0.37/0.62 (step @p329 :rule cnf_or_neg :args (@t248 1)) % 0.37/0.62 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 0.37/0.62 (step @p331 :rule reordering :premises (@p330) :args ((or @t244 @t248))) % 0.37/0.62 (step @p332 :rule bool-double-not-elim :args (@t252)) % 0.37/0.62 (step @p333 :rule refl :args (@t264)) % 0.37/0.62 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or @t264 (not @t253)))) % 0.37/0.62 (step @p335 :rule cnf_or_neg :args (@t264 1)) % 0.37/0.62 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 0.37/0.62 (step @p337 :rule reordering :premises (@p336) :args ((or @t252 @t264))) % 0.37/0.62 (step @p338 :rule chain_m_resolution :premises (@p337 @p318) :args (@t252 @t265 @t266)) % 0.37/0.62 (step @p339 :rule cnf_or_pos :args (@t267)) % 0.37/0.62 (step @p340 :rule reordering :premises (@p339) :args ((or @t253 @t247 (not @t267)))) % 0.37/0.62 (assume-push @p392 @t260) % 0.37/0.62 (step @p342 :rule instantiate :premises (@p392) :args (@t268)) % 0.37/0.62 (step-pop @p393 :rule scope :premises (@p342)) % 0.37/0.62 (step @p343 :rule process_scope :premises (@p393) :args (@t267)) % 0.37/0.62 (step @p345 :rule implies_elim :premises (@p343)) % 0.37/0.62 (step @p346 :rule bool-double-not-elim :args (@t260)) % 0.37/0.62 (step @p347 :rule refl :args (@t262)) % 0.37/0.62 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t262 (not @t261)))) % 0.37/0.62 (step @p349 :rule cnf_or_neg :args (@t262 1)) % 0.37/0.62 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.37/0.62 (step @p351 :rule reordering :premises (@p350) :args ((or @t260 @t262))) % 0.37/0.62 (step @p352 :rule cnf_and_neg :args (@t263)) % 0.37/0.62 (step @p353 :rule bool-double-not-elim :args (@t255)) % 0.37/0.62 (step @p354 :rule refl :args (@t259)) % 0.37/0.62 (step @p355 :rule nary_cong :premises (@p354 @p353) :args ((or @t259 (not @t256)))) % 0.37/0.62 (step @p356 :rule cnf_or_neg :args (@t259 1)) % 0.37/0.62 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.37/0.62 (step @p358 :rule reordering :premises (@p357) :args ((or @t255 @t259))) % 0.37/0.62 (step @p359 :rule cnf_or_pos :args (@t269)) % 0.37/0.62 (step @p360 :rule reordering :premises (@p359) :args ((or @t253 @t245 (not @t269)))) % 0.37/0.62 (assume-push @p394 @t255) % 0.37/0.62 (step @p362 :rule instantiate :premises (@p394) :args (@t268)) % 0.37/0.62 (step-pop @p395 :rule scope :premises (@p362)) % 0.37/0.62 (step @p363 :rule process_scope :premises (@p395) :args (@t269)) % 0.37/0.62 (step @p365 :rule implies_elim :premises (@p363)) % 0.37/0.62 (step @p366 :rule chain_m_resolution :premises (@p365 @p360 @p338 @p358 @p352 @p320 @p351 @p345 @p340 @p338 @p331 @p326) :args (@t248 (@list true false false true true false true true false false false) (@list @t269 @t252 @t255 @t259 @t263 @t262 @t260 @t267 @t252 @t244 @t246))) % 0.37/0.62 (step @p367 :rule cnf_or_neg :args (@t264 2)) % 0.37/0.62 (step @p368 :rule chain_m_resolution :premises (@p367 @p318) :args ((not @t250) @t265 @t266)) % 0.37/0.62 (step @p369 :rule cnf_and_neg :args (@t250)) % 0.37/0.62 (step @p370 :rule chain_m_resolution :premises (@p369 @p368 @p366) :args ((not @t249) (@list true false) (@list @t250 @t248))) % 0.37/0.62 (step @p371 :rule cnf_or_pos :args (@t270)) % 0.37/0.62 (step @p372 :rule reordering :premises (@p371) :args ((or @t253 @t249 @t271))) % 0.37/0.62 (step @p373 :rule chain_m_resolution :premises (@p372 @p338 @p370) :args (@t271 (@list false true) (@list @t252 @t249))) % 0.37/0.62 (assume-push @p396 @t257) % 0.37/0.62 (step @p375 :rule instantiate :premises (@p396) :args (@t268)) % 0.37/0.62 (step-pop @p397 :rule scope :premises (@p375)) % 0.37/0.62 (step @p376 :rule process_scope :premises (@p397) :args (@t270)) % 0.37/0.62 (step @p378 :rule implies_elim :premises (@p376)) % 0.37/0.62 (step @p379 :rule chain_m_resolution :premises (@p378 @p373) :args (@t258 @t265 (@list @t270))) % 0.37/0.62 (step @p380 :rule bool-double-not-elim :args (@t257)) % 0.37/0.62 (step @p381 :rule nary_cong :premises (@p347 @p380) :args ((or @t262 @t272))) % 0.37/0.62 (step @p382 :rule cnf_or_neg :args (@t262 0)) % 0.37/0.62 (step @p383 :rule eq_resolve :premises (@p382 @p381)) % 0.37/0.62 (step @p384 :rule reordering :premises (@p383) :args ((or @t257 @t262))) % 0.37/0.62 (step @p385 :rule chain_m_resolution :premises (@p384 @p379) :args (@t262 @t265 @t273)) % 0.37/0.62 (step @p386 :rule nary_cong :premises (@p354 @p380) :args ((or @t259 @t272))) % 0.37/0.62 (step @p387 :rule cnf_or_neg :args (@t259 0)) % 0.37/0.62 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 0.37/0.62 (step @p389 :rule reordering :premises (@p388) :args ((or @t257 @t259))) % 0.37/0.62 (step @p390 :rule chain_m_resolution :premises (@p389 @p379) :args (@t259 @t265 @t273)) % 0.37/0.62 (step @p391 false :rule chain_m_resolution :premises (@p352 @p390 @p385 @p320) :args (false (@list false false true) (@list @t259 @t262 @t263))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------