%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO464^4 : 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 : 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 09:12:50 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO464^4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:11:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TH0 % 0.37/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-sort tptp.mu 0) % 0.37/0.63 (declare-const tptp.rel_b (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.63 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.63 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.63 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.63 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.63 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.63 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.63 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.63 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.63 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.63 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.63 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.63 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.63 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.63 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.63 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.63 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.63 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.63 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.63 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.63 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.63 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.63 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.63 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.63 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.63 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.63 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.63 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.63 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.63 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.63 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.63 (define tptp.mbox_b () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_b _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.37/0.63 (define tptp.mdia_b () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_b (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.63 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_b (_ (_ tptp.mand tptp.p) tptp.q))) (_ tptp.mbox_b (_ tptp.mbox_b (_ (_ tptp.mimplies (_ tptp.mdia_b tptp.p)) (_ tptp.mdia_b tptp.q)))))))) % 0.37/0.63 (define @t2 () (@var "Y" tptp.mu)) % 0.37/0.63 (define @t3 () (@var "X" tptp.mu)) % 0.37/0.63 (define @t4 () (@var "W" $$unsorted)) % 0.37/0.63 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.37/0.63 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.63 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.63 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.37/0.63 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.63 (define @t10 () (_ @t9 @t4)) % 0.37/0.63 (define @t11 () (not @t10)) % 0.37/0.63 (define @t12 () (@list @t9 @t4)) % 0.37/0.63 (define @t13 () (lambda @t12 @t11)) % 0.37/0.63 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.63 (define @t15 () (_ @t14 @t4)) % 0.37/0.63 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.37/0.63 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.63 (define @t18 () (_ tptp.mnot @t14)) % 0.37/0.63 (define @t19 () (_ tptp.mnot @t9)) % 0.37/0.63 (define @t20 () (_ tptp.mor @t19)) % 0.37/0.63 (define @t21 () (@list @t9 @t14 @t17)) % 0.37/0.63 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.37/0.63 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.37/0.63 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.37/0.63 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.37/0.63 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.37/0.63 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.63 (define @t28 () (_ @t27 @t3)) % 0.37/0.63 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.37/0.63 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.63 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.63 (define @t32 () (_ @t31 @t30)) % 0.37/0.63 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.37/0.63 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.37/0.63 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.37/0.63 (define @t36 () (@list @t4)) % 0.37/0.63 (define @t37 () (lambda @t36 true)) % 0.37/0.63 (define @t38 () (@var "V" $$unsorted)) % 0.37/0.63 (define @t39 () (_ @t9 @t38)) % 0.37/0.63 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t41 () (@list @t38)) % 0.37/0.63 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.37/0.63 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.37/0.63 (define @t44 () (@var "S" $$unsorted)) % 0.37/0.63 (define @t45 () (_ @t40 @t44)) % 0.37/0.63 (define @t46 () (@list @t44)) % 0.37/0.63 (define @t47 () (@list @t40)) % 0.37/0.63 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.37/0.63 (define @t49 () (@var "T" $$unsorted)) % 0.37/0.63 (define @t50 () (_ @t40 @t49)) % 0.37/0.63 (define @t51 () (_ @t50 @t44)) % 0.37/0.63 (define @t52 () (_ @t45 @t49)) % 0.37/0.63 (define @t53 () (@list @t44 @t49)) % 0.37/0.63 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.37/0.63 (define @t55 () (lambda @t47 @t54)) % 0.37/0.63 (define @t56 () (@list @t49)) % 0.37/0.63 (define @t57 () (lambda @t47 (forall @t46 (exists @t56 @t52)))) % 0.37/0.63 (define @t58 () (@var "U" $$unsorted)) % 0.37/0.63 (define @t59 () (_ @t45 @t58)) % 0.37/0.63 (define @t60 () (_ @t50 @t58)) % 0.37/0.63 (define @t61 () (@list @t44 @t49 @t58)) % 0.37/0.63 (define @t62 () (lambda @t47 (forall @t61 (=> (and @t52 @t60) @t59)))) % 0.37/0.63 (define @t63 () (and @t52 @t59)) % 0.37/0.63 (define @t64 () (lambda @t47 (forall @t61 (=> @t63 @t60)))) % 0.37/0.63 (define @t65 () (= @t49 @t58)) % 0.37/0.63 (define @t66 () (lambda @t47 (forall @t61 (=> @t63 @t65)))) % 0.37/0.63 (define @t67 () (@list @t58)) % 0.37/0.63 (define @t68 () (lambda @t47 (forall @t46 (exists @t56 (and @t52 (forall @t67 (=> @t59 @t65))))))) % 0.37/0.63 (define @t69 () (_ @t40 @t58)) % 0.37/0.63 (define @t70 () (_ @t69 @t49)) % 0.37/0.63 (define @t71 () (lambda @t47 (forall @t61 (=> @t52 (exists @t67 (and @t59 @t70)))))) % 0.37/0.63 (define @t72 () (lambda @t47 (forall @t61 (=> @t63 (or @t60 @t65 @t70))))) % 0.37/0.63 (define @t73 () (lambda @t47 (forall @t61 (=> @t63 (exists @t41 (and (_ @t50 @t38) (_ @t69 @t38))))))) % 0.37/0.63 (define @t74 () (forall @t36 @t10)) % 0.37/0.63 (define @t75 () (@list @t9)) % 0.37/0.63 (define @t76 () (lambda @t75 @t74)) % 0.37/0.63 (define @t77 () (lambda @t75 (forall @t36 @t11))) % 0.37/0.63 (define @t78 () (lambda @t75 (exists @t36 @t10))) % 0.37/0.63 (define @t79 () (lambda @t75 (exists @t36 @t11))) % 0.37/0.63 (define @t80 () (_ (_ tptp.rel_b @t4) @t38)) % 0.37/0.63 (define @t81 () (not @t80)) % 0.37/0.63 (define @t82 () (or @t81 @t39)) % 0.37/0.63 (define @t83 () (forall @t41 @t82)) % 0.37/0.63 (define @t84 () (lambda @t12 @t83)) % 0.37/0.63 (define @t85 () (@list @t9 @t17)) % 0.37/0.63 (define @t86 () (lambda @t85 (_ (_ tptp.mnot (_ tptp.mbox_b @t19)) @t17))) % 0.37/0.63 (define @t87 () (@var "BOUND_VARIABLE_8614" $$unsorted)) % 0.37/0.63 (define @t88 () (not (tptp.p @t87))) % 0.37/0.63 (define @t89 () (@var "BOUND_VARIABLE_8612" $$unsorted)) % 0.37/0.63 (define @t90 () (not (tptp.rel_b @t89 @t87))) % 0.37/0.63 (define @t91 () (@var "BOUND_VARIABLE_8498" $$unsorted)) % 0.37/0.63 (define @t92 () (not (tptp.q @t91))) % 0.37/0.63 (define @t93 () (@list @t91)) % 0.37/0.63 (define @t94 () (not (forall @t93 (or (not (tptp.rel_b @t89 @t91)) @t92)))) % 0.37/0.63 (define @t95 () (@var "BOUND_VARIABLE_8610" $$unsorted)) % 0.37/0.63 (define @t96 () (not (tptp.rel_b @t95 @t89))) % 0.37/0.63 (define @t97 () (not (tptp.rel_b @t4 @t95))) % 0.37/0.63 (define @t98 () (tptp.q @t38)) % 0.37/0.63 (define @t99 () (tptp.p @t38)) % 0.37/0.63 (define @t100 () (and @t99 @t98)) % 0.37/0.63 (define @t101 () (tptp.rel_b @t4 @t38)) % 0.37/0.63 (define @t102 () (not @t101)) % 0.37/0.63 (define @t103 () (forall @t41 (or @t102 @t100))) % 0.37/0.63 (define @t104 () (not @t103)) % 0.37/0.63 (define @t105 () (or @t104 @t97 @t96 @t94 @t90 @t88)) % 0.37/0.63 (define @t106 () (or @t97 @t96 @t94 @t90 @t88)) % 0.37/0.63 (define @t107 () (or @t104 @t106)) % 0.37/0.63 (define @t108 () (@list @t4 @t95 @t89 @t87)) % 0.37/0.63 (define @t109 () (forall @t108 @t107)) % 0.37/0.63 (define @t110 () (@list @t95 @t89 @t87)) % 0.37/0.63 (define @t111 () (forall @t110 @t107)) % 0.37/0.63 (define @t112 () (forall @t110 @t106)) % 0.37/0.63 (define @t113 () (@var "BOUND_VARIABLE_8575" $$unsorted)) % 0.37/0.63 (define @t114 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 0.37/0.63 (define @t115 () (or @t104 @t112)) % 0.37/0.63 (define @t116 () (not (tptp.p @t113))) % 0.37/0.63 (define @t117 () (not (tptp.rel_b @t114 @t113))) % 0.37/0.63 (define @t118 () (not (forall @t93 (or (not (tptp.rel_b @t114 @t91)) @t92)))) % 0.37/0.63 (define @t119 () (not (tptp.rel_b @t38 @t114))) % 0.37/0.63 (define @t120 () (or @t102 @t119 @t118 @t117 @t116)) % 0.37/0.63 (define @t121 () (@list @t38 @t114 @t113)) % 0.37/0.63 (define @t122 () (forall @t121 @t120)) % 0.37/0.63 (define @t123 () (or @t104 @t122)) % 0.37/0.63 (define @t124 () (not (tptp.rel_b @t17 @t38))) % 0.37/0.63 (define @t125 () (forall @t121 (or @t124 @t119 @t118 @t117 @t116))) % 0.37/0.63 (define @t126 () (forall @t41 (or @t124 @t100))) % 0.37/0.63 (define @t127 () (not @t126)) % 0.37/0.63 (define @t128 () (@list @t17)) % 0.37/0.63 (define @t129 () (lambda @t128 (or @t127 @t125))) % 0.37/0.63 (define @t130 () (_ @t129 @t4)) % 0.37/0.63 (define @t131 () (forall @t36 @t130)) % 0.37/0.63 (define @t132 () (_ @t9 @t4)) % 0.37/0.63 (define @t133 () (lambda @t75 (forall @t36 @t132))) % 0.37/0.63 (define @t134 () (lambda @t36 @t122)) % 0.37/0.63 (define @t135 () (_ @t134 @t17)) % 0.37/0.63 (define @t136 () (or @t127 @t135)) % 0.37/0.63 (define @t137 () (lambda @t128 @t136)) % 0.37/0.63 (define @t138 () (_ @t14 @t17)) % 0.37/0.63 (define @t139 () (@list @t14 @t17)) % 0.37/0.63 (define @t140 () (or @t119 @t118 @t117 @t116)) % 0.37/0.63 (define @t141 () (or @t102 @t140)) % 0.37/0.63 (define @t142 () (forall @t121 @t141)) % 0.37/0.63 (define @t143 () (@list @t114 @t113)) % 0.37/0.63 (define @t144 () (forall @t143 @t141)) % 0.37/0.63 (define @t145 () (forall @t143 @t140)) % 0.37/0.63 (define @t146 () (@var "BOUND_VARIABLE_8533" $$unsorted)) % 0.37/0.63 (define @t147 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 0.37/0.63 (define @t148 () (or @t102 @t145)) % 0.37/0.63 (define @t149 () (not (tptp.p @t146))) % 0.37/0.63 (define @t150 () (not (tptp.rel_b @t147 @t146))) % 0.37/0.63 (define @t151 () (not (forall @t93 (or (not (tptp.rel_b @t147 @t91)) @t92)))) % 0.37/0.63 (define @t152 () (@list @t147 @t146)) % 0.37/0.63 (define @t153 () (forall @t152 (or (not (tptp.rel_b @t38 @t147)) @t151 @t150 @t149))) % 0.37/0.63 (define @t154 () (not (tptp.rel_b @t38 @t146))) % 0.37/0.63 (define @t155 () (not (forall @t93 (or (not (tptp.rel_b @t38 @t91)) @t92)))) % 0.37/0.63 (define @t156 () (or @t102 @t155 @t154 @t149)) % 0.37/0.63 (define @t157 () (@list @t38 @t146)) % 0.37/0.63 (define @t158 () (forall @t157 @t156)) % 0.37/0.63 (define @t159 () (@list @t38)) % 0.37/0.63 (define @t160 () (lambda @t36 @t158)) % 0.37/0.63 (define @t161 () (or @t102 (_ @t160 @t38))) % 0.37/0.63 (define @t162 () (forall @t41 @t161)) % 0.37/0.63 (define @t163 () (lambda @t36 @t162)) % 0.37/0.63 (define @t164 () (_ @t9 @t38)) % 0.37/0.63 (define @t165 () (lambda @t12 (forall @t41 (or @t102 @t164)))) % 0.37/0.63 (define @t166 () (or @t154 @t149)) % 0.37/0.63 (define @t167 () (or @t102 @t166 @t155)) % 0.37/0.63 (define @t168 () (forall @t157 @t167)) % 0.37/0.63 (define @t169 () (@list @t146)) % 0.37/0.63 (define @t170 () (forall @t169 @t167)) % 0.37/0.63 (define @t171 () (forall @t169 @t166)) % 0.37/0.63 (define @t172 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 0.37/0.63 (define @t173 () (@list @t172)) % 0.37/0.63 (define @t174 () (or @t102 @t171 @t155)) % 0.37/0.63 (define @t175 () (not (tptp.p @t172))) % 0.37/0.63 (define @t176 () (@list @t172)) % 0.37/0.63 (define @t177 () (forall @t176 (or (not (tptp.rel_b @t38 @t172)) @t175))) % 0.37/0.63 (define @t178 () (or @t102 @t177 @t155)) % 0.37/0.63 (define @t179 () (or @t177 @t155)) % 0.37/0.63 (define @t180 () (forall @t41 (or @t124 (not @t98)))) % 0.37/0.63 (define @t181 () (not @t180)) % 0.37/0.63 (define @t182 () (forall @t41 (or @t124 (not @t99)))) % 0.37/0.63 (define @t183 () (or @t182 @t181)) % 0.37/0.63 (define @t184 () (lambda @t128 @t183)) % 0.37/0.63 (define @t185 () (or @t102 (_ @t184 @t38))) % 0.37/0.63 (define @t186 () (forall @t41 @t185)) % 0.37/0.63 (define @t187 () (lambda @t36 @t186)) % 0.37/0.63 (define @t188 () (lambda @t128 @t181)) % 0.37/0.63 (define @t189 () (_ @t188 @t17)) % 0.37/0.63 (define @t190 () (or @t182 @t189)) % 0.37/0.63 (define @t191 () (lambda @t128 @t190)) % 0.37/0.63 (define @t192 () (not @t164)) % 0.37/0.63 (define @t193 () (not (forall @t41 (or @t124 @t192)))) % 0.37/0.63 (define @t194 () (lambda @t85 @t193)) % 0.37/0.63 (define @t195 () (_ @t194 tptp.q)) % 0.37/0.63 (define @t196 () (not @t182)) % 0.37/0.63 (define @t197 () (lambda @t128 @t196)) % 0.37/0.63 (define @t198 () (_ @t197 @t17)) % 0.37/0.63 (define @t199 () (not @t198)) % 0.37/0.63 (define @t200 () (or @t199 @t138)) % 0.37/0.63 (define @t201 () (lambda @t139 @t200)) % 0.37/0.63 (define @t202 () (not (_ @t9 @t17))) % 0.37/0.63 (define @t203 () (or @t202 @t138)) % 0.37/0.63 (define @t204 () (lambda @t21 @t203)) % 0.37/0.63 (define @t205 () (_ @t194 tptp.p)) % 0.37/0.63 (define @t206 () (lambda @t36 @t103)) % 0.37/0.63 (define @t207 () (_ @t206 @t17)) % 0.37/0.63 (define @t208 () (not @t207)) % 0.37/0.63 (define @t209 () (or @t208 @t138)) % 0.37/0.63 (define @t210 () (lambda @t139 @t209)) % 0.37/0.63 (define @t211 () (_ tptp.q @t38)) % 0.37/0.63 (define @t212 () (_ tptp.p @t38)) % 0.37/0.63 (define @t213 () (and @t212 @t211)) % 0.37/0.63 (define @t214 () (or @t102 @t213)) % 0.37/0.63 (define @t215 () (not @t211)) % 0.37/0.63 (define @t216 () (not @t212)) % 0.37/0.63 (define @t217 () (not (or @t216 @t215))) % 0.37/0.63 (define @t218 () (or @t102 @t217)) % 0.37/0.63 (define @t219 () (not (_ tptp.p @t17))) % 0.37/0.63 (define @t220 () (lambda @t128 (not (or @t219 (not (_ tptp.q @t17)))))) % 0.37/0.63 (define @t221 () (_ @t220 @t38)) % 0.37/0.63 (define @t222 () (or @t102 @t221)) % 0.37/0.63 (define @t223 () (forall @t41 @t222)) % 0.37/0.63 (define @t224 () (lambda @t36 @t223)) % 0.37/0.63 (define @t225 () (not @t138)) % 0.37/0.63 (define @t226 () (lambda @t139 (not (or @t219 @t225)))) % 0.37/0.63 (define @t227 () (not (or @t202 @t225))) % 0.37/0.63 (define @t228 () (_ (lambda @t21 @t227) tptp.p)) % 0.37/0.63 (define @t229 () (forall @t41 (or @t102 @t192))) % 0.37/0.63 (define @t230 () (lambda @t36 @t229)) % 0.37/0.63 (define @t231 () (_ @t230 @t4)) % 0.37/0.63 (define @t232 () (not @t231)) % 0.37/0.63 (define @t233 () (lambda @t36 @t232)) % 0.37/0.63 (define @t234 () (not @t39)) % 0.37/0.63 (define @t235 () (or @t102 @t234)) % 0.37/0.63 (define @t236 () (lambda @t36 @t11)) % 0.37/0.63 (define @t237 () (_ @t236 @t38)) % 0.37/0.63 (define @t238 () (or @t102 @t237)) % 0.37/0.63 (define @t239 () (forall @t41 @t238)) % 0.37/0.63 (define @t240 () (lambda @t36 @t239)) % 0.37/0.63 (define @t241 () (or @t11 @t15)) % 0.37/0.63 (define @t242 () (lambda @t36 @t241)) % 0.37/0.63 (define @t243 () (@list @t14 @t4)) % 0.37/0.63 (define @t244 () (lambda @t243 @t241)) % 0.37/0.63 (define @t245 () (_ @t236 @t4)) % 0.37/0.63 (define @t246 () (or @t245 @t15)) % 0.37/0.63 (define @t247 () (lambda @t243 @t246)) % 0.37/0.63 (define @t248 () (not @t15)) % 0.37/0.63 (define @t249 () (or @t11 @t248)) % 0.37/0.63 (define @t250 () (lambda @t36 @t249)) % 0.37/0.63 (define @t251 () (_ @t250 @t4)) % 0.37/0.63 (define @t252 () (not @t251)) % 0.37/0.63 (define @t253 () (lambda @t36 @t252)) % 0.37/0.63 (define @t254 () (lambda @t36 @t248)) % 0.37/0.63 (define @t255 () (_ @t254 @t4)) % 0.37/0.63 (define @t256 () (or @t11 @t255)) % 0.37/0.63 (define @t257 () (lambda @t36 @t256)) % 0.37/0.63 (define @t258 () (forall @t108 @t105)) % 0.37/0.63 (define @t259 () (@quantifiers_skolemize @t258 2)) % 0.37/0.63 (define @t260 () (forall @t93 (or (not (tptp.rel_b @t259 @t91)) @t92))) % 0.37/0.63 (define @t261 () (@quantifiers_skolemize @t258 3)) % 0.37/0.63 (define @t262 () (not @t260)) % 0.37/0.63 (define @t263 () (@quantifiers_skolemize @t258 1)) % 0.37/0.63 (define @t264 () (tptp.rel_b @t263 @t259)) % 0.37/0.63 (define @t265 () (not @t264)) % 0.37/0.63 (define @t266 () (@quantifiers_skolemize @t258 0)) % 0.37/0.63 (define @t267 () (tptp.rel_b @t266 @t263)) % 0.37/0.63 (define @t268 () (not @t267)) % 0.37/0.63 (define @t269 () (forall @t41 (or (not (tptp.rel_b @t266 @t38)) @t100))) % 0.37/0.63 (define @t270 () (not @t269)) % 0.37/0.63 (define @t271 () (or @t270 @t268 @t265 @t262 (not (tptp.rel_b @t259 @t261)) (not (tptp.p @t261)))) % 0.37/0.63 (define @t272 () (@list true)) % 0.37/0.63 (define @t273 () (@list @t271)) % 0.37/0.63 (define @t274 () (@list @t263)) % 0.37/0.63 (define @t275 () (tptp.q @t263)) % 0.37/0.63 (define @t276 () (and (tptp.p @t263) @t275)) % 0.37/0.63 (define @t277 () (or @t268 @t276)) % 0.37/0.63 (define @t278 () (@list false false)) % 0.37/0.63 (define @t279 () (_ @t40 @t49 @t44)) % 0.37/0.63 (define @t280 () (_ @t40 @t44 @t49)) % 0.37/0.63 (define @t281 () (not @t52)) % 0.37/0.63 (define @t282 () (or @t281 @t51)) % 0.37/0.63 (define @t283 () (tptp.rel_b @t259 @t263)) % 0.37/0.63 (define @t284 () (or @t265 @t283)) % 0.37/0.63 (define @t285 () (not @t275)) % 0.37/0.63 (define @t286 () (not @t283)) % 0.37/0.63 (define @t287 () (or @t286 @t285)) % 0.37/0.63 (define @t288 () (not @t287)) % 0.37/0.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.63 (assume @p2 (_ tptp.mreflexive tptp.rel_b)) % 0.37/0.63 (assume @p3 (_ tptp.msymmetric tptp.rel_b)) % 0.37/0.63 (assume @p4 @t1) % 0.37/0.63 (assume @p5 true) % 0.37/0.63 (step @p6 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.37/0.63 (step @p7 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.37/0.63 (step @p8 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.37/0.63 (step @p9 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.37/0.63 (step @p10 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.37/0.63 (step @p11 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.37/0.63 (step @p12 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.37/0.63 (step @p13 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.37/0.63 (step @p14 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.37/0.63 (step @p15 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.37/0.63 (step @p16 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.37/0.63 (step @p17 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.37/0.63 (step @p18 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.37/0.63 (step @p19 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.37/0.63 (step @p20 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.37/0.63 (step @p21 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.37/0.63 (step @p22 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.37/0.63 (step @p23 (= tptp.msymmetric @t55) :rule refl :args (@t55)) % 0.37/0.63 (step @p24 (= tptp.mserial @t57) :rule refl :args (@t57)) % 0.37/0.63 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.37/0.63 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.37/0.63 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.37/0.63 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.37/0.63 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.37/0.63 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.37/0.63 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.37/0.63 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.37/0.63 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.37/0.63 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.37/0.63 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.37/0.63 (step @p36 (= tptp.mbox_b @t84) :rule refl :args (@t84)) % 0.37/0.63 (step @p37 (= tptp.mdia_b @t86) :rule refl :args (@t86)) % 0.37/0.63 (step @p38 :rule aci_norm :args ((= @t107 @t105))) % 0.37/0.63 (step @p39 :rule cong :premises (@p38) :args (@t109)) % 0.37/0.63 (step @p40 :rule quant-merge-prenex :args ((= (forall @t36 @t111) @t109))) % 0.37/0.63 (step @p41 :rule alpha_equiv :args (@t112 (@list @t95 @t89 @t87) (@list @t38 @t114 @t113))) % 0.37/0.63 (step @p42 :rule refl :args (@t104)) % 0.37/0.63 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t115)) % 0.37/0.63 (step @p44 :rule quant-miniscope-or :args ((= @t111 @t115))) % 0.37/0.63 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.63 (step @p46 :rule symm :premises (@p45)) % 0.37/0.63 (step @p47 :rule cong :premises (@p46) :args ((forall @t36 @t123))) 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(step @p63 :rule quant-merge-prenex :args ((= (forall @t41 @t144) @t142))) % 0.37/0.63 (step @p64 :rule alpha_equiv :args (@t145 (@list @t114 @t113) (@list @t147 @t146))) % 0.37/0.63 (step @p65 :rule refl :args (@t102)) % 0.37/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t148)) % 0.37/0.63 (step @p67 :rule quant-miniscope-or :args ((= @t144 @t148))) % 0.37/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.63 (step @p69 :rule symm :premises (@p68)) % 0.37/0.63 (step @p70 :rule cong :premises (@p69) :args ((forall @t41 (or @t102 @t153)))) % 0.37/0.63 (step @p71 :rule trans :premises (@p70 @p63)) % 0.37/0.63 (step @p72 :rule trans :premises (@p71 @p62)) % 0.37/0.63 (step @p73 :rule beta-reduce :args ((= (_ (lambda @t36 (forall @t152 (or (not (tptp.rel_b @t4 @t147)) @t151 @t150 @t149))) @t38) @t153))) % 0.37/0.63 (step @p74 :rule refl :args (@t38)) % 0.37/0.63 (step @p75 :rule alpha_equiv :args (@t158 @t159 (@list @t147))) % 0.37/0.63 (step @p76 :rule cong 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@p317 :rule chain_m_resolution :premises (@p316 @p310) :args (@t260 @t272 @t273)) % 0.37/0.64 (step @p318 :rule bool-double-not-elim :args (@t269)) % 0.37/0.64 (step @p319 :rule nary_cong :premises (@p312 @p318) :args ((or @t271 (not @t270)))) % 0.37/0.64 (step @p320 :rule cnf_or_neg :args (@t271 0)) % 0.37/0.64 (step @p321 :rule eq_resolve :premises (@p320 @p319)) % 0.37/0.64 (step @p322 :rule reordering :premises (@p321) :args ((or @t269 @t271))) % 0.37/0.64 (step @p323 :rule chain_m_resolution :premises (@p322 @p310) :args (@t269 @t272 @t273)) % 0.37/0.64 (step @p324 :rule instantiate :premises (@p323) :args (@t274)) % 0.37/0.64 (step @p325 :rule bool-double-not-elim :args (@t267)) % 0.37/0.64 (step @p326 :rule nary_cong :premises (@p312 @p325) :args ((or @t271 (not @t268)))) % 0.37/0.64 (step @p327 :rule cnf_or_neg :args (@t271 1)) % 0.37/0.64 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 0.37/0.64 (step @p329 :rule reordering :premises (@p328) :args ((or @t267 @t271))) % 0.37/0.64 (step @p330 :rule chain_m_resolution :premises (@p329 @p310) :args (@t267 @t272 @t273)) % 0.37/0.64 (step @p331 :rule cnf_or_pos :args (@t277)) % 0.37/0.64 (step @p332 :rule reordering :premises (@p331) :args ((or @t268 @t276 (not @t277)))) % 0.37/0.64 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p324) :args (@t276 @t278 (@list @t267 @t277))) % 0.37/0.64 (step @p334 :rule cnf_and_pos :args (@t276 1)) % 0.37/0.64 (step @p335 :rule reordering :premises (@p334) :args ((or @t275 (not @t276)))) % 0.37/0.64 (step @p336 :rule chain_m_resolution :premises (@p335 @p333) :args (@t275 (@list false) (@list @t276))) % 0.37/0.64 (step @p337 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t53 (or (not @t280) @t279))) tptp.rel_b) (forall @t53 (or (not (tptp.rel_b @t44 @t49)) (tptp.rel_b @t49 @t44)))))) % 0.37/0.64 (step @p338 :rule refl :args (tptp.rel_b)) % 0.37/0.64 (step @p339 :rule refl :args (@t279)) % 0.37/0.64 (step @p340 :rule refl :args (@t51)) % 0.37/0.64 (step @p341 :rule cong :premises (@p340 @p339) :args ((= @t51 @t279))) % 0.37/0.64 (step @p342 :rule symm :premises (@p341)) % 0.37/0.64 (step @p343 :rule eq_resolve :premises (@p340 @p342)) % 0.37/0.64 (step @p344 :rule refl :args (@t280)) % 0.37/0.64 (step @p345 :rule refl :args (@t52)) % 0.37/0.64 (step @p346 :rule cong :premises (@p345 @p344) :args ((= @t52 @t280))) % 0.37/0.64 (step @p347 :rule symm :premises (@p346)) % 0.37/0.64 (step @p348 :rule eq_resolve :premises (@p345 @p347)) % 0.37/0.64 (step @p349 :rule cong :premises (@p348) :args (@t281)) % 0.37/0.64 (step @p350 :rule nary_cong :premises (@p349 @p343) :args (@t282)) % 0.37/0.64 (step @p351 :rule cong :premises (@p350) :args ((forall @t53 @t282))) % 0.37/0.64 (step @p352 :rule bool-impl-elim :args (@t52 @t51)) % 0.37/0.64 (step @p353 :rule cong :premises (@p352) :args (@t54)) % 0.37/0.64 (step @p354 :rule trans :premises (@p353 @p351)) % 0.37/0.64 (step @p355 :rule cong :premises (@p354) :args (@t55)) % 0.37/0.64 (step @p356 :rule trans :premises (@p23 @p355)) % 0.37/0.64 (step @p357 :rule ho_cong :premises (@p356 @p338)) % 0.37/0.64 (step @p358 :rule trans :premises (@p357 @p337)) % 0.37/0.64 (step @p359 :rule eq_resolve :premises (@p3 @p358)) % 0.37/0.64 (step @p360 :rule instantiate :premises (@p359) :args ((@list @t263 @t259))) % 0.37/0.64 (step @p361 :rule bool-double-not-elim :args (@t264)) % 0.37/0.64 (step @p362 :rule nary_cong :premises (@p312 @p361) :args ((or @t271 (not @t265)))) % 0.37/0.64 (step @p363 :rule cnf_or_neg :args (@t271 2)) % 0.37/0.64 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 0.37/0.64 (step @p365 :rule reordering :premises (@p364) :args ((or @t264 @t271))) % 0.37/0.64 (step @p366 :rule chain_m_resolution :premises (@p365 @p310) :args (@t264 @t272 @t273)) % 0.37/0.64 (step @p367 :rule cnf_or_pos :args (@t284)) % 0.37/0.64 (step @p368 :rule reordering :premises (@p367) :args ((or @t265 @t283 (not @t284)))) % 0.37/0.64 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p360) :args (@t283 @t278 (@list @t264 @t284))) % 0.37/0.64 (step @p370 :rule cnf_or_pos :args (@t287)) % 0.37/0.64 (step @p371 :rule reordering :premises (@p370) :args ((or @t286 @t285 @t288))) % 0.37/0.64 (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p336) :args (@t288 @t278 (@list @t283 @t275))) % 0.37/0.64 (assume-push @p379 @t260) % 0.37/0.64 (step @p374 :rule instantiate :premises (@p317) :args (@t274)) % 0.37/0.64 (step-pop @p380 :rule scope :premises (@p374)) % 0.37/0.64 (step @p375 :rule process_scope :premises (@p380) :args (@t287)) % 0.37/0.64 (step @p377 :rule implies_elim :premises (@p375)) % 0.37/0.64 (step @p378 false :rule chain_m_resolution :premises (@p377 @p372 @p317) :args (false (@list true false) (@list @t287 @t260))) % 0.37/0.64 ) % 0.37/0.64 % SZS output end Proof % 0.37/0.64 % cvc5 exiting %------------------------------------------------------------------------------