%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO400^1 : 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 : n011.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 09:12:34 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO400^1 : 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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:06:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-sort tptp.mu 0) % 0.36/0.60 (declare-const tptp.rel_k (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.q (-> $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.36/0.60 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.36/0.60 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.60 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.36/0.60 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.60 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.36/0.60 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.60 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.60 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.36/0.60 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.36/0.60 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.60 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.60 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.36/0.60 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.36/0.60 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.36/0.60 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.36/0.60 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.36/0.60 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.36/0.60 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.60 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.60 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.36/0.60 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.36/0.60 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.36/0.60 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.36/0.60 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.36/0.60 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.36/0.60 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.36/0.60 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.36/0.60 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.60 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.36/0.60 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.60 (define tptp.mbox_k () (let ((_let_1 (@var "V" $$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)))))))) % 0.36/0.60 (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))))) % 0.36/0.60 (define @t1 () (_ tptp.mimplies tptp.p)) % 0.36/0.60 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_k (_ @t1 tptp.q))) (_ tptp.mbox_k (_ @t1 (_ tptp.mnot tptp.q))))) (_ tptp.mbox_k (_ @t1 (_ tptp.mnot tptp.p))))))) % 0.36/0.60 (define @t3 () (@var "Y" tptp.mu)) % 0.36/0.60 (define @t4 () (@var "X" tptp.mu)) % 0.36/0.60 (define @t5 () (@var "W" $$unsorted)) % 0.36/0.60 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.36/0.60 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.60 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.60 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.36/0.60 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.60 (define @t11 () (_ @t10 @t5)) % 0.36/0.60 (define @t12 () (not @t11)) % 0.36/0.60 (define @t13 () (@list @t10 @t5)) % 0.36/0.60 (define @t14 () (lambda @t13 @t12)) % 0.36/0.60 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.36/0.60 (define @t16 () (_ @t15 @t5)) % 0.36/0.60 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.36/0.60 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.60 (define @t19 () (_ tptp.mnot @t15)) % 0.36/0.60 (define @t20 () (_ tptp.mnot @t10)) % 0.36/0.60 (define @t21 () (_ tptp.mor @t20)) % 0.36/0.60 (define @t22 () (@list @t10 @t15 @t18)) % 0.36/0.60 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.36/0.60 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.36/0.60 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.36/0.60 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.36/0.60 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.36/0.60 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.36/0.60 (define @t29 () (_ @t28 @t4)) % 0.36/0.60 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.36/0.60 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.60 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.36/0.60 (define @t33 () (_ @t32 @t31)) % 0.36/0.60 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.36/0.60 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.36/0.60 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.36/0.60 (define @t37 () (@list @t5)) % 0.36/0.60 (define @t38 () (lambda @t37 true)) % 0.36/0.60 (define @t39 () (@var "V" $$unsorted)) % 0.36/0.60 (define @t40 () (_ @t10 @t39)) % 0.36/0.60 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.60 (define @t42 () (@list @t39)) % 0.36/0.60 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.36/0.60 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.36/0.60 (define @t45 () (@var "S" $$unsorted)) % 0.36/0.60 (define @t46 () (_ @t41 @t45)) % 0.36/0.60 (define @t47 () (@list @t45)) % 0.36/0.60 (define @t48 () (@list @t41)) % 0.36/0.60 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.36/0.60 (define @t50 () (@var "T" $$unsorted)) % 0.36/0.60 (define @t51 () (_ @t41 @t50)) % 0.36/0.60 (define @t52 () (_ @t46 @t50)) % 0.36/0.60 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.36/0.60 (define @t54 () (@list @t50)) % 0.36/0.60 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.36/0.60 (define @t56 () (@var "U" $$unsorted)) % 0.36/0.60 (define @t57 () (_ @t46 @t56)) % 0.36/0.60 (define @t58 () (_ @t51 @t56)) % 0.36/0.60 (define @t59 () (@list @t45 @t50 @t56)) % 0.36/0.60 (define @t60 () (lambda @t48 (forall @t59 (=> (and @t52 @t58) @t57)))) % 0.36/0.60 (define @t61 () (and @t52 @t57)) % 0.36/0.60 (define @t62 () (lambda @t48 (forall @t59 (=> @t61 @t58)))) % 0.36/0.60 (define @t63 () (= @t50 @t56)) % 0.36/0.60 (define @t64 () (lambda @t48 (forall @t59 (=> @t61 @t63)))) % 0.36/0.60 (define @t65 () (@list @t56)) % 0.36/0.60 (define @t66 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t65 (=> @t57 @t63))))))) % 0.36/0.60 (define @t67 () (_ @t41 @t56)) % 0.36/0.60 (define @t68 () (_ @t67 @t50)) % 0.36/0.60 (define @t69 () (lambda @t48 (forall @t59 (=> @t52 (exists @t65 (and @t57 @t68)))))) % 0.36/0.60 (define @t70 () (lambda @t48 (forall @t59 (=> @t61 (or @t58 @t63 @t68))))) % 0.36/0.60 (define @t71 () (lambda @t48 (forall @t59 (=> @t61 (exists @t42 (and (_ @t51 @t39) (_ @t67 @t39))))))) % 0.36/0.60 (define @t72 () (forall @t37 @t11)) % 0.36/0.60 (define @t73 () (@list @t10)) % 0.36/0.60 (define @t74 () (lambda @t73 @t72)) % 0.36/0.60 (define @t75 () (lambda @t73 (forall @t37 @t12))) % 0.36/0.60 (define @t76 () (lambda @t73 (exists @t37 @t11))) % 0.36/0.60 (define @t77 () (lambda @t73 (exists @t37 @t12))) % 0.36/0.60 (define @t78 () (_ (_ tptp.rel_k @t5) @t39)) % 0.36/0.60 (define @t79 () (not @t78)) % 0.36/0.60 (define @t80 () (or @t79 @t40)) % 0.36/0.60 (define @t81 () (forall @t42 @t80)) % 0.36/0.60 (define @t82 () (lambda @t13 @t81)) % 0.36/0.60 (define @t83 () (lambda (@list @t10 @t18) (_ (_ tptp.mnot (_ tptp.mbox_k @t20)) @t18))) % 0.36/0.60 (define @t84 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 0.36/0.60 (define @t85 () (not (tptp.p @t84))) % 0.36/0.60 (define @t86 () (not (tptp.rel_k @t5 @t84))) % 0.36/0.60 (define @t87 () (tptp.q @t39)) % 0.36/0.60 (define @t88 () (not @t87)) % 0.36/0.60 (define @t89 () (tptp.p @t39)) % 0.36/0.60 (define @t90 () (not @t89)) % 0.36/0.60 (define @t91 () (tptp.rel_k @t5 @t39)) % 0.36/0.60 (define @t92 () (not @t91)) % 0.36/0.60 (define @t93 () (forall @t42 (or @t92 @t90 @t88))) % 0.36/0.60 (define @t94 () (not @t93)) % 0.36/0.60 (define @t95 () (forall @t42 (or @t92 @t90 @t87))) % 0.36/0.60 (define @t96 () (not @t95)) % 0.36/0.60 (define @t97 () (or @t96 @t94 @t86 @t85)) % 0.36/0.60 (define @t98 () (or @t86 @t85)) % 0.36/0.60 (define @t99 () (or @t98 @t96 @t94)) % 0.36/0.60 (define @t100 () (@list @t5 @t84)) % 0.36/0.60 (define @t101 () (forall @t100 @t99)) % 0.36/0.60 (define @t102 () (@list @t84)) % 0.36/0.60 (define @t103 () (forall @t102 @t99)) % 0.36/0.60 (define @t104 () (forall @t102 @t98)) % 0.36/0.60 (define @t105 () (or @t104 @t96 @t94)) % 0.36/0.60 (define @t106 () (forall @t42 (or @t92 @t90))) % 0.36/0.60 (define @t107 () (or @t106 @t96 @t94)) % 0.36/0.60 (define @t108 () (not (tptp.rel_k @t18 @t39))) % 0.36/0.60 (define @t109 () (forall @t42 (or @t108 @t90 @t88))) % 0.36/0.60 (define @t110 () (not @t109)) % 0.36/0.60 (define @t111 () (forall @t42 (or @t108 @t90 @t87))) % 0.36/0.60 (define @t112 () (not @t111)) % 0.36/0.60 (define @t113 () (forall @t42 (or @t108 @t90))) % 0.36/0.60 (define @t114 () (@list @t18)) % 0.36/0.60 (define @t115 () (lambda @t114 (or @t113 @t112 @t110))) % 0.36/0.60 (define @t116 () (_ @t115 @t5)) % 0.36/0.60 (define @t117 () (forall @t37 @t116)) % 0.36/0.60 (define @t118 () (_ @t10 @t5)) % 0.36/0.60 (define @t119 () (lambda @t73 (forall @t37 @t118))) % 0.36/0.60 (define @t120 () (lambda @t37 @t106)) % 0.36/0.60 (define @t121 () (_ @t120 @t18)) % 0.36/0.60 (define @t122 () (or @t121 @t112 @t110)) % 0.36/0.60 (define @t123 () (lambda @t114 @t122)) % 0.36/0.60 (define @t124 () (_ @t15 @t18)) % 0.36/0.60 (define @t125 () (or @t124 @t112 @t110)) % 0.36/0.60 (define @t126 () (@list @t15 @t18)) % 0.36/0.60 (define @t127 () (_ tptp.p @t39)) % 0.36/0.60 (define @t128 () (not @t127)) % 0.36/0.60 (define @t129 () (or @t92 @t128)) % 0.36/0.60 (define @t130 () (not (_ tptp.p @t18))) % 0.36/0.60 (define @t131 () (lambda @t114 @t130)) % 0.36/0.60 (define @t132 () (_ @t131 @t39)) % 0.36/0.60 (define @t133 () (or @t92 @t132)) % 0.36/0.60 (define @t134 () (forall @t42 @t133)) % 0.36/0.60 (define @t135 () (lambda @t37 @t134)) % 0.36/0.60 (define @t136 () (_ @t10 @t39)) % 0.36/0.60 (define @t137 () (lambda @t13 (forall @t42 (or @t92 @t136)))) % 0.36/0.60 (define @t138 () (lambda @t37 (not (_ tptp.p @t5)))) % 0.36/0.60 (define @t139 () (_ @t138 @t18)) % 0.36/0.60 (define @t140 () (or @t130 @t139)) % 0.36/0.60 (define @t141 () (lambda @t114 @t140)) % 0.36/0.60 (define @t142 () (lambda @t126 (or @t130 @t124))) % 0.36/0.60 (define @t143 () (_ @t14 tptp.p)) % 0.36/0.60 (define @t144 () (not (_ @t10 @t18))) % 0.36/0.60 (define @t145 () (or @t144 @t124)) % 0.36/0.60 (define @t146 () (lambda @t22 @t145)) % 0.36/0.60 (define @t147 () (_ @t146 tptp.p)) % 0.36/0.60 (define @t148 () (or @t112 @t110)) % 0.36/0.60 (define @t149 () (not @t148)) % 0.36/0.60 (define @t150 () (lambda @t114 @t149)) % 0.36/0.60 (define @t151 () (_ @t150 @t18)) % 0.36/0.60 (define @t152 () (not @t151)) % 0.36/0.60 (define @t153 () (or @t152 @t124)) % 0.36/0.60 (define @t154 () (lambda @t126 @t153)) % 0.36/0.60 (define @t155 () (lambda @t37 @t93)) % 0.36/0.60 (define @t156 () (_ @t155 @t18)) % 0.36/0.60 (define @t157 () (not @t156)) % 0.36/0.60 (define @t158 () (or @t112 @t157)) % 0.36/0.60 (define @t159 () (not @t158)) % 0.36/0.60 (define @t160 () (lambda @t114 @t159)) % 0.36/0.60 (define @t161 () (not @t124)) % 0.36/0.60 (define @t162 () (_ tptp.q @t39)) % 0.36/0.60 (define @t163 () (not @t162)) % 0.36/0.60 (define @t164 () (or @t92 @t128 @t163)) % 0.36/0.60 (define @t165 () (or @t128 @t163)) % 0.36/0.60 (define @t166 () (_ tptp.q @t18)) % 0.36/0.60 (define @t167 () (not @t166)) % 0.36/0.60 (define @t168 () (lambda @t114 (or @t130 @t167))) % 0.36/0.60 (define @t169 () (_ @t168 @t39)) % 0.36/0.60 (define @t170 () (or @t92 @t169)) % 0.36/0.60 (define @t171 () (forall @t42 @t170)) % 0.36/0.60 (define @t172 () (lambda @t37 @t171)) % 0.36/0.60 (define @t173 () (lambda @t37 (not (_ tptp.q @t5)))) % 0.36/0.60 (define @t174 () (_ @t173 @t18)) % 0.36/0.60 (define @t175 () (or @t130 @t174)) % 0.36/0.60 (define @t176 () (lambda @t114 @t175)) % 0.36/0.60 (define @t177 () (_ @t14 tptp.q)) % 0.36/0.60 (define @t178 () (lambda @t37 @t95)) % 0.36/0.60 (define @t179 () (_ @t178 @t18)) % 0.36/0.60 (define @t180 () (not @t179)) % 0.36/0.60 (define @t181 () (or @t180 @t161)) % 0.36/0.60 (define @t182 () (not @t181)) % 0.36/0.60 (define @t183 () (lambda @t126 @t182)) % 0.36/0.60 (define @t184 () (not (or @t144 @t161))) % 0.36/0.60 (define @t185 () (lambda @t22 @t184)) % 0.36/0.60 (define @t186 () (or @t92 @t128 @t162)) % 0.36/0.60 (define @t187 () (or @t128 @t162)) % 0.36/0.60 (define @t188 () (lambda @t114 (or @t130 @t166))) % 0.36/0.60 (define @t189 () (_ @t188 @t39)) % 0.36/0.60 (define @t190 () (or @t92 @t189)) % 0.36/0.60 (define @t191 () (forall @t42 @t190)) % 0.36/0.60 (define @t192 () (lambda @t37 @t191)) % 0.36/0.60 (define @t193 () (or @t12 @t16)) % 0.36/0.60 (define @t194 () (lambda @t37 @t193)) % 0.36/0.60 (define @t195 () (@list @t15 @t5)) % 0.36/0.60 (define @t196 () (lambda @t195 @t193)) % 0.36/0.60 (define @t197 () (lambda @t37 @t12)) % 0.36/0.60 (define @t198 () (_ @t197 @t5)) % 0.36/0.60 (define @t199 () (or @t198 @t16)) % 0.36/0.60 (define @t200 () (lambda @t195 @t199)) % 0.36/0.60 (define @t201 () (not @t16)) % 0.36/0.60 (define @t202 () (or @t12 @t201)) % 0.36/0.60 (define @t203 () (lambda @t37 @t202)) % 0.36/0.60 (define @t204 () (_ @t203 @t5)) % 0.36/0.60 (define @t205 () (not @t204)) % 0.36/0.60 (define @t206 () (lambda @t37 @t205)) % 0.36/0.60 (define @t207 () (lambda @t37 @t201)) % 0.36/0.60 (define @t208 () (_ @t207 @t5)) % 0.36/0.60 (define @t209 () (or @t12 @t208)) % 0.36/0.60 (define @t210 () (lambda @t37 @t209)) % 0.36/0.60 (define @t211 () (forall @t100 @t97)) % 0.36/0.60 (define @t212 () (@quantifiers_skolemize @t211 1)) % 0.36/0.60 (define @t213 () (@quantifiers_skolemize @t211 0)) % 0.36/0.60 (define @t214 () (tptp.rel_k @t213 @t212)) % 0.36/0.60 (define @t215 () (tptp.p @t212)) % 0.36/0.60 (define @t216 () (not @t215)) % 0.36/0.60 (define @t217 () (not @t214)) % 0.36/0.60 (define @t218 () (not (tptp.rel_k @t213 @t39))) % 0.36/0.60 (define @t219 () (forall @t42 (or @t218 @t90 @t88))) % 0.36/0.60 (define @t220 () (not @t219)) % 0.36/0.60 (define @t221 () (forall @t42 (or @t218 @t90 @t87))) % 0.36/0.60 (define @t222 () (not @t221)) % 0.36/0.60 (define @t223 () (or @t222 @t220 @t217 @t216)) % 0.36/0.60 (define @t224 () (@list true)) % 0.36/0.60 (define @t225 () (@list @t223)) % 0.36/0.60 (define @t226 () (@list @t212)) % 0.36/0.60 (define @t227 () (tptp.q @t212)) % 0.36/0.60 (define @t228 () (or @t217 @t216 @t227)) % 0.36/0.60 (define @t229 () (not @t227)) % 0.36/0.60 (define @t230 () (or @t217 @t216 @t229)) % 0.36/0.60 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.36/0.60 (assume @p2 @t2) % 0.36/0.60 (assume @p3 true) % 0.36/0.60 (step @p4 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.36/0.60 (step @p5 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.36/0.60 (step @p6 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.36/0.60 (step @p7 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.36/0.60 (step @p8 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.36/0.60 (step @p9 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.36/0.60 (step @p10 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.36/0.60 (step @p11 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.36/0.60 (step @p12 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.36/0.60 (step @p13 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.36/0.60 (step @p14 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.36/0.60 (step @p15 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.36/0.60 (step @p16 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.36/0.60 (step @p17 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.36/0.60 (step @p18 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.36/0.60 (step @p19 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.36/0.60 (step @p20 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.36/0.60 (step @p21 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.36/0.60 (step @p22 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.36/0.60 (step @p23 (= tptp.mtransitive @t60) :rule refl :args (@t60)) % 0.36/0.60 (step @p24 (= tptp.meuclidean @t62) :rule refl :args (@t62)) % 0.36/0.60 (step @p25 (= tptp.mpartially_functional @t64) :rule refl :args (@t64)) % 0.36/0.60 (step @p26 (= tptp.mfunctional @t66) :rule refl :args (@t66)) % 0.36/0.60 (step @p27 (= tptp.mweakly_dense @t69) :rule refl :args (@t69)) % 0.36/0.60 (step @p28 (= tptp.mweakly_connected @t70) :rule refl :args (@t70)) % 0.36/0.60 (step @p29 (= tptp.mweakly_directed @t71) :rule refl :args (@t71)) % 0.36/0.60 (step @p30 (= tptp.mvalid @t74) :rule refl :args (@t74)) % 0.36/0.60 (step @p31 (= tptp.minvalid @t75) :rule refl :args (@t75)) % 0.36/0.60 (step @p32 (= tptp.msatisfiable @t76) :rule refl :args (@t76)) % 0.36/0.60 (step @p33 (= tptp.mcountersatisfiable @t77) :rule refl :args (@t77)) % 0.36/0.60 (step @p34 (= tptp.mbox_k @t82) :rule refl :args (@t82)) % 0.36/0.60 (step @p35 (= tptp.mdia_k @t83) :rule refl :args (@t83)) % 0.36/0.60 (step @p36 :rule aci_norm :args ((= @t99 @t97))) % 0.36/0.60 (step @p37 :rule cong :premises (@p36) :args (@t101)) % 0.36/0.60 (step @p38 :rule quant-merge-prenex :args ((= (forall @t37 @t103) @t101))) % 0.36/0.60 (step @p39 :rule refl :args (@t94)) % 0.36/0.60 (step @p40 :rule refl :args (@t96)) % 0.36/0.60 (step @p41 :rule alpha_equiv :args (@t104 (@list @t84) (@list @t39))) % 0.36/0.60 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t105)) % 0.36/0.60 (step @p43 :rule quant-miniscope-or :args ((= @t103 @t105))) % 0.36/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.36/0.60 (step @p45 :rule symm :premises (@p44)) % 0.36/0.60 (step @p46 :rule cong :premises (@p45) :args ((forall @t37 @t107))) % 0.36/0.60 (step @p47 :rule trans :premises (@p46 @p38)) % 0.36/0.60 (step @p48 :rule trans :premises (@p47 @p37)) % 0.36/0.60 (step @p49 :rule beta-reduce :args ((= @t116 @t107))) % 0.36/0.60 (step @p50 :rule cong :premises (@p49) :args (@t117)) % 0.36/0.60 (step @p51 :rule trans :premises (@p50 @p48)) % 0.36/0.60 (step @p52 :rule beta-reduce :args ((= (_ @t119 @t115) @t117))) % 0.36/0.60 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.60 (step @p54 :rule refl :args (@t110)) % 0.36/0.60 (step @p55 :rule refl :args (@t112)) % 0.36/0.60 (step @p56 :rule beta-reduce :args ((= @t121 @t113))) % 0.36/0.60 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t122)) % 0.36/0.60 (step @p58 :rule cong :premises (@p57) :args (@t123)) % 0.36/0.60 (step @p59 :rule beta-reduce :args ((= (_ (lambda @t126 @t125) @t120) @t123))) % 0.36/0.60 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.60 (step @p61 :rule refl :args (@t89)) % 0.36/0.60 (step @p62 :rule refl :args (@t127)) % 0.36/0.60 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t127 @t89))) % 0.36/0.60 (step @p64 :rule symm :premises (@p63)) % 0.36/0.60 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.36/0.60 (step @p66 :rule cong :premises (@p65) :args (@t128)) % 0.36/0.60 (step @p67 :rule refl :args (@t92)) % 0.36/0.60 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t129)) % 0.36/0.60 (step @p69 :rule cong :premises (@p68) :args ((forall @t42 @t129))) % 0.36/0.60 (step @p70 :rule beta-reduce :args ((= @t132 @t128))) % 0.36/0.60 (step @p71 :rule refl :args (@t92)) % 0.36/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t133)) % 0.36/0.60 (step @p73 :rule cong :premises (@p72) :args (@t134)) % 0.36/0.60 (step @p74 :rule trans :premises (@p73 @p69)) % 0.36/0.60 (step @p75 :rule cong :premises (@p74) :args (@t135)) % 0.36/0.60 (step @p76 :rule beta-reduce :args ((= (_ @t137 @t131) @t135))) % 0.36/0.60 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.60 (step @p78 :rule aci_norm :args ((= (or @t130 @t130) @t130))) % 0.36/0.60 (step @p79 :rule beta-reduce :args ((= @t139 @t130))) % 0.36/0.60 (step @p80 :rule refl :args (@t130)) % 0.36/0.60 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t140)) % 0.36/0.60 (step @p82 :rule trans :premises (@p81 @p78)) % 0.36/0.60 (step @p83 :rule cong :premises (@p82) :args (@t141)) % 0.36/0.60 (step @p84 :rule beta-reduce :args ((= (_ @t142 @t138) @t141))) % 0.36/0.60 (step @p85 :rule trans :premises (@p84 @p83)) % 0.36/0.60 (step @p86 :rule beta-reduce :args ((= @t143 @t138))) % 0.36/0.60 (step @p87 :rule beta-reduce :args ((= @t147 @t142))) % 0.36/0.60 (step @p88 :rule ho_cong :premises (@p87 @p86)) % 0.36/0.60 (step @p89 :rule trans :premises (@p88 @p85)) % 0.36/0.60 (step @p90 :rule refl :args (@t137)) % 0.36/0.60 (step @p91 :rule ho_cong :premises (@p90 @p89)) % 0.36/0.60 (step @p92 :rule trans :premises (@p91 @p77)) % 0.36/0.60 (step @p93 :rule aci_norm :args ((= (or @t148 @t124) @t125))) % 0.36/0.60 (step @p94 :rule refl :args (@t124)) % 0.36/0.60 (step @p95 :rule bool-double-not-elim :args (@t148)) % 0.36/0.60 (step @p96 :rule beta-reduce :args ((= @t151 @t149))) % 0.36/0.60 (step @p97 :rule cong :premises (@p96) :args (@t152)) % 0.36/0.60 (step @p98 :rule trans :premises (@p97 @p95)) % 0.36/0.60 (step @p99 :rule nary_cong :premises (@p98 @p94) :args (@t153)) % 0.36/0.60 (step @p100 :rule trans :premises (@p99 @p93)) % 0.36/0.60 (step @p101 :rule cong :premises (@p100) :args (@t154)) % 0.36/0.60 (step @p102 :rule beta-reduce :args ((= (_ @t146 @t150) @t154))) % 0.36/0.60 (step @p103 :rule trans :premises (@p102 @p101)) % 0.36/0.60 (step @p104 :rule beta-reduce :args ((= @t156 @t109))) % 0.36/0.60 (step @p105 :rule cong :premises (@p104) :args (@t157)) % 0.36/0.60 (step @p106 :rule nary_cong :premises (@p55 @p105) :args (@t158)) % 0.36/0.60 (step @p107 :rule cong :premises (@p106) :args (@t159)) % 0.36/0.60 (step @p108 :rule cong :premises (@p107) :args (@t160)) % 0.36/0.60 (step @p109 :rule beta-reduce :args ((= (_ (lambda @t126 (not (or @t112 @t161))) @t155) @t160))) % 0.36/0.60 (step @p110 :rule trans :premises (@p109 @p108)) % 0.36/0.60 (step @p111 :rule refl :args (@t87)) % 0.36/0.60 (step @p112 :rule refl :args (@t162)) % 0.36/0.60 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t162 @t87))) % 0.36/0.60 (step @p114 :rule symm :premises (@p113)) % 0.36/0.60 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.36/0.60 (step @p116 :rule cong :premises (@p115) :args (@t163)) % 0.36/0.60 (step @p117 :rule nary_cong :premises (@p67 @p66 @p116) :args (@t164)) % 0.36/0.60 (step @p118 :rule cong :premises (@p117) :args ((forall @t42 @t164))) % 0.36/0.60 (step @p119 :rule aci_norm :args ((= (or @t92 @t165) @t164))) % 0.36/0.60 (step @p120 :rule beta-reduce :args ((= @t169 @t165))) % 0.36/0.60 (step @p121 :rule nary_cong :premises (@p71 @p120) :args (@t170)) % 0.36/0.60 (step @p122 :rule trans :premises (@p121 @p119)) % 0.36/0.60 (step @p123 :rule cong :premises (@p122) :args (@t171)) % 0.36/0.60 (step @p124 :rule trans :premises (@p123 @p118)) % 0.36/0.60 (step @p125 :rule cong :premises (@p124) :args (@t172)) % 0.36/0.60 (step @p126 :rule beta-reduce :args ((= (_ @t137 @t168) @t172))) % 0.36/0.60 (step @p127 :rule trans :premises (@p126 @p125)) % 0.36/0.60 (step @p128 :rule beta-reduce :args ((= @t174 @t167))) % 0.36/0.60 (step @p129 :rule nary_cong :premises (@p80 @p128) :args (@t175)) % 0.36/0.60 (step @p130 :rule cong :premises (@p129) :args (@t176)) % 0.36/0.60 (step @p131 :rule beta-reduce :args ((= (_ @t142 @t173) 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:rule ho_cong :premises (@p205 @p223)) % 0.36/0.60 (step @p225 :rule ho_cong :premises (@p221 @p224)) % 0.36/0.60 (step @p226 :rule ho_cong :premises (@p205 @p158)) % 0.36/0.60 (step @p227 :rule ho_cong :premises (@p221 @p226)) % 0.36/0.60 (step @p228 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t202)) @t18) @t184))) % 0.36/0.60 (step @p229 :rule beta-reduce :args ((= @t204 @t202))) % 0.36/0.60 (step @p230 :rule cong :premises (@p229) :args (@t205)) % 0.36/0.60 (step @p231 :rule cong :premises (@p230) :args (@t206)) % 0.36/0.60 (step @p232 :rule beta-reduce :args ((= (_ @t14 @t203) @t206))) % 0.36/0.60 (step @p233 :rule trans :premises (@p232 @p231)) % 0.36/0.60 (step @p234 :rule beta-reduce :args ((= @t208 @t201))) % 0.36/0.60 (step @p235 :rule refl :args (@t12)) % 0.36/0.60 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t209)) % 0.36/0.60 (step @p237 :rule cong :premises (@p236) :args (@t210)) % 0.36/0.60 (step @p238 :rule beta-reduce :args ((= (_ @t196 @t207) 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% 0.36/0.60 (step @p255 :rule ho_cong :premises (@p254 @p227)) % 0.36/0.60 (step @p256 :rule ho_cong :premises (@p255 @p225)) % 0.36/0.60 (step @p257 :rule ho_cong :premises (@p204 @p256)) % 0.36/0.60 (step @p258 :rule ho_cong :premises (@p257 @p222)) % 0.36/0.60 (step @p259 :rule refl :args (@t118)) % 0.36/0.60 (step @p260 :rule refl :args (@t11)) % 0.36/0.60 (step @p261 :rule cong :premises (@p260 @p259) :args ((= @t11 @t118))) % 0.36/0.60 (step @p262 :rule symm :premises (@p261)) % 0.36/0.60 (step @p263 :rule eq_resolve :premises (@p260 @p262)) % 0.36/0.60 (step @p264 :rule cong :premises (@p263) :args (@t72)) % 0.36/0.60 (step @p265 :rule cong :premises (@p264) :args (@t74)) % 0.36/0.60 (step @p266 :rule trans :premises (@p30 @p265)) % 0.36/0.60 (step @p267 :rule ho_cong :premises (@p266 @p258)) % 0.36/0.60 (step @p268 :rule cong :premises (@p267) :args (@t2)) % 0.36/0.60 (step @p269 :rule trans :premises (@p268 @p176)) % 0.36/0.60 (step @p270 :rule eq_resolve :premises (@p2 @p269)) % 0.36/0.60 (step @p271 :rule skolemize :premises (@p270)) % 0.36/0.60 (step @p272 :rule bool-double-not-elim :args (@t214)) % 0.36/0.60 (step @p273 :rule refl :args (@t223)) % 0.36/0.60 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or @t223 (not @t217)))) % 0.36/0.60 (step @p275 :rule cnf_or_neg :args (@t223 2)) % 0.36/0.60 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 0.36/0.60 (step @p277 :rule reordering :premises (@p276) :args ((or @t214 @t223))) % 0.36/0.60 (step @p278 :rule chain_m_resolution :premises (@p277 @p271) :args (@t214 @t224 @t225)) % 0.36/0.60 (step @p279 :rule bool-double-not-elim :args (@t215)) % 0.36/0.60 (step @p280 :rule nary_cong :premises (@p273 @p279) :args ((or @t223 (not @t216)))) % 0.36/0.60 (step @p281 :rule cnf_or_neg :args (@t223 3)) % 0.36/0.60 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 0.36/0.60 (step @p283 :rule reordering :premises (@p282) :args ((or @t215 @t223))) % 0.36/0.60 (step @p284 :rule chain_m_resolution :premises (@p283 @p271) :args (@t215 @t224 @t225)) % 0.36/0.60 (step @p285 :rule bool-double-not-elim :args (@t219)) % 0.36/0.60 (step @p286 :rule nary_cong :premises (@p273 @p285) :args ((or @t223 (not @t220)))) % 0.36/0.60 (step @p287 :rule cnf_or_neg :args (@t223 1)) % 0.36/0.60 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 0.36/0.60 (step @p289 :rule reordering :premises (@p288) :args ((or @t219 @t223))) % 0.36/0.60 (step @p290 :rule chain_m_resolution :premises (@p289 @p271) :args (@t219 @t224 @t225)) % 0.36/0.60 (step @p291 :rule instantiate :premises (@p290) :args (@t226)) % 0.36/0.60 (step @p292 :rule bool-double-not-elim :args (@t221)) % 0.36/0.60 (step @p293 :rule nary_cong :premises (@p273 @p292) :args ((or @t223 (not @t222)))) % 0.36/0.60 (step @p294 :rule cnf_or_neg :args (@t223 0)) % 0.36/0.60 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 0.36/0.60 (step @p296 :rule reordering :premises (@p295) :args ((or @t221 @t223))) % 0.36/0.60 (step @p297 :rule chain_m_resolution :premises (@p296 @p271) :args (@t221 @t224 @t225)) % 0.36/0.60 (step @p298 :rule instantiate :premises (@p297) :args (@t226)) % 0.36/0.60 (step @p299 :rule cnf_or_pos :args (@t228)) % 0.36/0.60 (step @p300 :rule reordering :premises (@p299) :args ((or @t217 @t216 @t227 (not @t228)))) % 0.36/0.60 (step @p301 :rule chain_m_resolution :premises (@p300 @p278 @p284 @p298) :args (@t227 (@list false false false) (@list @t214 @t215 @t228))) % 0.36/0.60 (step @p302 :rule cnf_or_pos :args (@t230)) % 0.36/0.60 (step @p303 :rule reordering :premises (@p302) :args ((or @t217 @t216 @t229 (not @t230)))) % 0.36/0.60 (step @p304 false :rule chain_m_resolution :premises (@p303 @p301 @p291 @p284 @p278) :args (false (@list false false false false) (@list @t227 @t230 @t215 @t214))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------