%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO481^6 : 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 : n017.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 09:12:57 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 : SYO481^6 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n017.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 00:15:01 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.51 %----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 $$unsorted 0) % 0.36/0.60 (declare-sort tptp.mu 0) % 0.36/0.60 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.mfalse (-> $$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" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.60 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.36/0.60 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.36/0.60 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "Y" tptp.mu)) % 0.36/0.60 (define @t3 () (@var "X" tptp.mu)) % 0.36/0.60 (define @t4 () (_ tptp.mnot (_ (_ tptp.meq_ind @t3) @t2))) % 0.36/0.60 (define @t5 () (@list @t2 @t1)) % 0.36/0.60 (define @t6 () (lambda @t5 (_ (_ (_ tptp.mimplies @t4) (_ tptp.mbox_s5 @t4)) @t1))) % 0.36/0.60 (define @t7 () (@list @t3 @t1)) % 0.36/0.60 (define @t8 () (lambda @t7 (_ (_ tptp.mforall_ind @t6) @t1))) % 0.36/0.60 (define @t9 () (not (_ tptp.mvalid (_ tptp.mforall_ind @t8)))) % 0.36/0.60 (define @t10 () (= @t3 @t2)) % 0.36/0.60 (define @t11 () (@var "W" $$unsorted)) % 0.36/0.60 (define @t12 () (lambda (@list @t3 @t2 @t11) @t10)) % 0.36/0.60 (define @t13 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.60 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.60 (define @t15 () (lambda (@list @t14 @t13 @t11) (= (_ @t14 @t11) (_ @t13 @t11)))) % 0.36/0.60 (define @t16 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.60 (define @t17 () (_ @t16 @t11)) % 0.36/0.60 (define @t18 () (not @t17)) % 0.36/0.60 (define @t19 () (@list @t16 @t11)) % 0.36/0.60 (define @t20 () (lambda @t19 @t18)) % 0.36/0.60 (define @t21 () (@var "Psi" (-> $$unsorted Bool))) % 0.36/0.60 (define @t22 () (_ @t21 @t11)) % 0.36/0.60 (define @t23 () (lambda (@list @t16 @t21 @t11) (or @t17 @t22))) % 0.36/0.60 (define @t24 () (_ tptp.mnot @t21)) % 0.36/0.60 (define @t25 () (_ tptp.mnot @t16)) % 0.36/0.60 (define @t26 () (_ tptp.mor @t25)) % 0.36/0.60 (define @t27 () (@list @t16 @t21 @t1)) % 0.36/0.60 (define @t28 () (lambda @t27 (_ (_ tptp.mnot (_ @t26 @t24)) @t1))) % 0.36/0.60 (define @t29 () (lambda @t27 (_ (_ @t26 @t21) @t1))) % 0.36/0.60 (define @t30 () (lambda @t27 (_ (_ (_ tptp.mor @t24) @t16) @t1))) % 0.36/0.60 (define @t31 () (lambda @t27 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t16) @t21)) (_ (_ tptp.mimplies @t21) @t16)) @t1))) % 0.36/0.60 (define @t32 () (lambda @t27 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t16) @t21)) @t1))) % 0.36/0.60 (define @t33 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.36/0.60 (define @t34 () (_ @t33 @t3)) % 0.36/0.60 (define @t35 () (_ @t34 @t11)) % 0.36/0.60 (define @t36 () (@list @t3)) % 0.36/0.60 (define @t37 () (forall @t36 @t35)) % 0.36/0.60 (define @t38 () (@list @t33 @t11)) % 0.36/0.60 (define @t39 () (lambda @t38 @t37)) % 0.36/0.60 (define @t40 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.60 (define @t41 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.36/0.60 (define @t42 () (_ @t41 @t40)) % 0.36/0.60 (define @t43 () (lambda (@list @t41 @t11) (forall (@list @t40) (_ @t42 @t11)))) % 0.36/0.60 (define @t44 () (lambda (@list @t33 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t7 (_ (_ tptp.mnot @t34) @t1)))) @t1))) % 0.36/0.60 (define @t45 () (lambda (@list @t41 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t40 @t1) (_ (_ tptp.mnot @t42) @t1)))) @t1))) % 0.36/0.60 (define @t46 () (@list @t11)) % 0.36/0.60 (define @t47 () (lambda @t46 true)) % 0.36/0.60 (define @t48 () (@var "V" $$unsorted)) % 0.36/0.60 (define @t49 () (_ @t16 @t48)) % 0.36/0.60 (define @t50 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.60 (define @t51 () (@list @t48)) % 0.36/0.60 (define @t52 () (lambda (@list @t50 @t16 @t11) (forall @t51 (or (not (_ (_ @t50 @t11) @t48)) @t49)))) % 0.36/0.60 (define @t53 () (lambda (@list @t50 @t16 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t50) @t25)) @t1))) % 0.36/0.60 (define @t54 () (@var "S" $$unsorted)) % 0.36/0.60 (define @t55 () (_ @t50 @t54)) % 0.36/0.60 (define @t56 () (@list @t54)) % 0.36/0.60 (define @t57 () (@list @t50)) % 0.36/0.60 (define @t58 () (lambda @t57 (forall @t56 (_ @t55 @t54)))) % 0.36/0.60 (define @t59 () (@var "T" $$unsorted)) % 0.36/0.60 (define @t60 () (_ @t50 @t59)) % 0.36/0.60 (define @t61 () (_ @t55 @t59)) % 0.36/0.60 (define @t62 () (lambda @t57 (forall (@list @t54 @t59) (=> @t61 (_ @t60 @t54))))) % 0.36/0.60 (define @t63 () (@list @t59)) % 0.36/0.60 (define @t64 () (lambda @t57 (forall @t56 (exists @t63 @t61)))) % 0.36/0.60 (define @t65 () (@var "U" $$unsorted)) % 0.36/0.60 (define @t66 () (_ @t55 @t65)) % 0.36/0.60 (define @t67 () (_ @t60 @t65)) % 0.36/0.60 (define @t68 () (@list @t54 @t59 @t65)) % 0.36/0.60 (define @t69 () (lambda @t57 (forall @t68 (=> (and @t61 @t67) @t66)))) % 0.36/0.60 (define @t70 () (and @t61 @t66)) % 0.36/0.60 (define @t71 () (lambda @t57 (forall @t68 (=> @t70 @t67)))) % 0.36/0.60 (define @t72 () (= @t59 @t65)) % 0.36/0.60 (define @t73 () (lambda @t57 (forall @t68 (=> @t70 @t72)))) % 0.36/0.60 (define @t74 () (@list @t65)) % 0.36/0.60 (define @t75 () (lambda @t57 (forall @t56 (exists @t63 (and @t61 (forall @t74 (=> @t66 @t72))))))) % 0.36/0.60 (define @t76 () (_ @t50 @t65)) % 0.36/0.60 (define @t77 () (_ @t76 @t59)) % 0.36/0.60 (define @t78 () (lambda @t57 (forall @t68 (=> @t61 (exists @t74 (and @t66 @t77)))))) % 0.36/0.60 (define @t79 () (lambda @t57 (forall @t68 (=> @t70 (or @t67 @t72 @t77))))) % 0.36/0.60 (define @t80 () (lambda @t57 (forall @t68 (=> @t70 (exists @t51 (and (_ @t60 @t48) (_ @t76 @t48))))))) % 0.36/0.60 (define @t81 () (forall @t46 @t17)) % 0.36/0.60 (define @t82 () (@list @t16)) % 0.36/0.60 (define @t83 () (lambda @t82 @t81)) % 0.36/0.60 (define @t84 () (lambda @t82 (forall @t46 @t18))) % 0.36/0.60 (define @t85 () (lambda @t82 (exists @t46 @t17))) % 0.36/0.60 (define @t86 () (lambda @t82 (exists @t46 @t18))) % 0.36/0.60 (define @t87 () (_ (_ tptp.rel_s5 @t11) @t48)) % 0.36/0.60 (define @t88 () (not @t87)) % 0.36/0.60 (define @t89 () (or @t88 @t49)) % 0.36/0.60 (define @t90 () (forall @t51 @t89)) % 0.36/0.60 (define @t91 () (lambda @t19 @t90)) % 0.36/0.60 (define @t92 () (lambda (@list @t16 @t1) (_ (_ tptp.mnot (_ tptp.mbox_s5 @t25)) @t1))) % 0.36/0.60 (define @t93 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.36/0.60 (define @t94 () (lambda (@list @t93) true)) % 0.36/0.60 (define @t95 () (_ @t94 @t11)) % 0.36/0.60 (define @t96 () (forall @t46 @t95)) % 0.36/0.60 (define @t97 () (_ @t16 @t11)) % 0.36/0.60 (define @t98 () (lambda @t82 (forall @t46 @t97))) % 0.36/0.60 (define @t99 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 0.36/0.60 (define @t100 () (@var "BOUND_VARIABLE_8500" tptp.mu)) % 0.36/0.60 (define @t101 () (lambda (@list @t100 @t99) true)) % 0.36/0.60 (define @t102 () (_ @t101 @t3 @t11)) % 0.36/0.60 (define @t103 () (forall @t36 @t102)) % 0.36/0.60 (define @t104 () (lambda @t46 @t103)) % 0.36/0.60 (define @t105 () (_ @t33 @t3 @t11)) % 0.36/0.60 (define @t106 () (forall @t36 @t105)) % 0.36/0.60 (define @t107 () (lambda @t38 @t106)) % 0.36/0.60 (define @t108 () (@var "BOUND_VARIABLE_8477" tptp.mu)) % 0.36/0.60 (define @t109 () (@list @t108)) % 0.36/0.60 (define @t110 () (= @t3 @t108)) % 0.36/0.60 (define @t111 () (tptp.rel_s5 @t11 @t48)) % 0.36/0.60 (define @t112 () (not @t111)) % 0.36/0.60 (define @t113 () (forall @t51 @t112)) % 0.36/0.60 (define @t114 () (or @t110 (not @t110) @t113)) % 0.36/0.60 (define @t115 () (forall @t51 (not (tptp.rel_s5 @t1 @t48)))) % 0.36/0.60 (define @t116 () (not @t10)) % 0.36/0.60 (define @t117 () (or @t10 @t116 @t115)) % 0.36/0.60 (define @t118 () (lambda @t5 @t117)) % 0.36/0.60 (define @t119 () (_ @t118 @t108 @t11)) % 0.36/0.60 (define @t120 () (forall @t109 @t119)) % 0.36/0.60 (define @t121 () (lambda @t46 @t120)) % 0.36/0.60 (define @t122 () (@list @t1)) % 0.36/0.60 (define @t123 () (or @t116 @t115)) % 0.36/0.60 (define @t124 () (or @t116 @t113)) % 0.36/0.60 (define @t125 () (lambda @t46 @t124)) % 0.36/0.60 (define @t126 () (_ @t125 @t1)) % 0.36/0.60 (define @t127 () (or @t10 @t126)) % 0.36/0.60 (define @t128 () (lambda @t122 @t127)) % 0.36/0.60 (define @t129 () (_ @t21 @t1)) % 0.36/0.60 (define @t130 () (@list @t21 @t1)) % 0.36/0.60 (define @t131 () (or @t116 @t112)) % 0.36/0.60 (define @t132 () (or @t112 @t116)) % 0.36/0.60 (define @t133 () (lambda @t46 @t116)) % 0.36/0.60 (define @t134 () (_ @t133 @t48)) % 0.36/0.60 (define @t135 () (or @t112 @t134)) % 0.36/0.60 (define @t136 () (forall @t51 @t135)) % 0.36/0.60 (define @t137 () (lambda @t46 @t136)) % 0.36/0.60 (define @t138 () (_ @t16 @t48)) % 0.36/0.60 (define @t139 () (lambda @t19 (forall @t51 (or @t112 @t138)))) % 0.36/0.60 (define @t140 () (lambda @t46 @t10)) % 0.36/0.60 (define @t141 () (_ @t140 @t11)) % 0.36/0.60 (define @t142 () (not @t141)) % 0.36/0.60 (define @t143 () (lambda @t46 @t142)) % 0.36/0.60 (define @t144 () (lambda (@list @t2 @t11) @t10)) % 0.36/0.60 (define @t145 () (_ @t12 @t3)) % 0.36/0.60 (define @t146 () (_ @t133 @t1)) % 0.36/0.60 (define @t147 () (not @t146)) % 0.36/0.60 (define @t148 () (or @t147 @t129)) % 0.36/0.60 (define @t149 () (lambda @t130 @t148)) % 0.36/0.60 (define @t150 () (or (not (_ @t16 @t1)) @t129)) % 0.36/0.60 (define @t151 () (lambda @t27 @t150)) % 0.36/0.60 (define @t152 () (_ @t20 (_ @t145 @t2))) % 0.36/0.60 (define @t153 () (lambda @t5 (_ (_ (_ @t151 @t152) (_ @t139 @t152)) @t1))) % 0.36/0.60 (define @t154 () (lambda @t7 (_ (_ @t107 @t153) @t1))) % 0.36/0.60 (define @t155 () (or @t18 @t22)) % 0.36/0.60 (define @t156 () (lambda @t46 @t155)) % 0.36/0.60 (define @t157 () (@list @t21 @t11)) % 0.36/0.60 (define @t158 () (lambda @t46 @t18)) % 0.36/0.60 (define @t159 () (_ @t158 @t11)) % 0.36/0.60 (define @t160 () (or @t159 @t22)) % 0.36/0.60 (define @t161 () (lambda @t157 @t160)) % 0.36/0.60 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.36/0.60 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.36/0.60 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.36/0.60 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.36/0.60 (assume @p5 @t9) % 0.36/0.60 (assume @p6 true) % 0.36/0.60 (step @p7 (= tptp.meq_ind @t12) :rule refl :args (@t12)) % 0.36/0.60 (step @p8 (= tptp.meq_prop @t15) :rule refl :args (@t15)) % 0.36/0.60 (step @p9 (= tptp.mnot @t20) :rule refl :args (@t20)) % 0.36/0.60 (step @p10 (= tptp.mor @t23) :rule refl :args (@t23)) % 0.36/0.60 (step @p11 (= tptp.mand @t28) :rule refl :args (@t28)) % 0.36/0.60 (step @p12 (= tptp.mimplies @t29) :rule refl :args (@t29)) % 0.36/0.60 (step @p13 (= tptp.mimplied @t30) :rule refl :args (@t30)) % 0.36/0.60 (step @p14 (= tptp.mequiv @t31) :rule refl :args (@t31)) % 0.36/0.60 (step @p15 (= tptp.mxor @t32) :rule refl :args (@t32)) % 0.36/0.60 (step @p16 (= tptp.mforall_ind @t39) :rule refl :args (@t39)) % 0.36/0.60 (step @p17 (= tptp.mforall_prop @t43) :rule refl :args (@t43)) % 0.36/0.60 (step @p18 (= tptp.mexists_ind @t44) :rule refl :args (@t44)) % 0.36/0.60 (step @p19 (= tptp.mexists_prop @t45) :rule refl :args (@t45)) % 0.36/0.60 (step @p20 (= tptp.mtrue @t47) :rule refl :args (@t47)) % 0.36/0.60 (step @p21 (= tptp.mbox @t52) :rule refl :args (@t52)) % 0.36/0.60 (step @p22 (= tptp.mdia @t53) :rule refl :args (@t53)) % 0.36/0.60 (step @p23 (= tptp.mreflexive @t58) :rule refl :args (@t58)) % 0.36/0.60 (step @p24 (= tptp.msymmetric @t62) :rule refl :args (@t62)) % 0.36/0.60 (step @p25 (= tptp.mserial @t64) :rule refl :args (@t64)) % 0.36/0.60 (step @p26 (= tptp.mtransitive @t69) :rule refl :args (@t69)) % 0.36/0.60 (step @p27 (= tptp.meuclidean @t71) :rule refl :args (@t71)) % 0.36/0.60 (step @p28 (= tptp.mpartially_functional @t73) :rule refl :args (@t73)) % 0.36/0.60 (step @p29 (= tptp.mfunctional @t75) :rule refl :args (@t75)) % 0.36/0.60 (step @p30 (= tptp.mweakly_dense @t78) :rule refl :args (@t78)) % 0.36/0.60 (step @p31 (= tptp.mweakly_connected @t79) :rule refl :args (@t79)) % 0.36/0.60 (step @p32 (= tptp.mweakly_directed @t80) :rule refl :args (@t80)) % 0.36/0.60 (step @p33 (= tptp.mvalid @t83) :rule refl :args (@t83)) % 0.36/0.60 (step @p34 (= tptp.minvalid @t84) :rule refl :args (@t84)) % 0.36/0.60 (step @p35 (= tptp.msatisfiable @t85) :rule refl :args (@t85)) % 0.36/0.60 (step @p36 (= tptp.mcountersatisfiable @t86) :rule refl :args (@t86)) % 0.36/0.60 (step @p37 (= tptp.mbox_s5 @t91) :rule refl :args (@t91)) % 0.36/0.60 (step @p38 (= tptp.mdia_s5 @t92) :rule refl :args (@t92)) % 0.36/0.60 (step @p39 :rule evaluate :args ((not true))) % 0.36/0.60 (step @p40 :rule quant-unused-vars :args ((= (forall @t46 true) true))) % 0.36/0.60 (step @p41 :rule beta-reduce :args ((= @t95 true))) % 0.36/0.60 (step @p42 :rule cong :premises (@p41) :args (@t96)) % 0.36/0.60 (step @p43 :rule trans :premises (@p42 @p40)) % 0.36/0.60 (step @p44 :rule beta-reduce :args ((= (_ @t98 @t94) @t96))) % 0.36/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.60 (step @p46 :rule refl :args (@t94)) % 0.36/0.60 (step @p47 :rule symm :premises (@p46)) % 0.36/0.60 (step @p48 :rule alpha_equiv :args (@t47 (@list @t11) (@list @t93))) % 0.36/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.60 (step @p50 :rule quant-unused-vars :args ((= (forall @t36 true) true))) % 0.36/0.60 (step @p51 :rule beta-reduce :args ((= @t102 true))) % 0.36/0.60 (step @p52 :rule cong :premises (@p51) :args (@t103)) % 0.36/0.60 (step @p53 :rule trans :premises (@p52 @p50)) % 0.36/0.60 (step @p54 :rule cong :premises (@p53) :args (@t104)) % 0.36/0.60 (step @p55 :rule trans :premises (@p54 @p49)) % 0.36/0.60 (step @p56 :rule beta-reduce :args ((= (_ @t107 @t101) @t104))) % 0.36/0.60 (step @p57 :rule trans :premises (@p56 @p55)) % 0.36/0.60 (step @p58 :rule refl :args (@t101)) % 0.36/0.60 (step @p59 :rule symm :premises (@p58)) % 0.36/0.60 (step @p60 :rule alpha_equiv :args ((lambda @t7 true) (@list @t3 @t1) (@list @t100 @t99))) % 0.36/0.60 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.60 (step @p62 :rule beta-reduce :args ((= (_ @t94 @t1) true))) % 0.36/0.60 (step @p63 :rule refl :args (@t1)) % 0.36/0.60 (step @p64 :rule quant-unused-vars :args ((= (forall @t109 true) true))) % 0.36/0.60 (step @p65 :rule bool-or-taut :args (false @t110 false (or @t113))) % 0.36/0.60 (step @p66 :rule cong :premises (@p65) :args ((forall @t109 @t114))) % 0.36/0.60 (step @p67 :rule trans :premises (@p66 @p64)) % 0.36/0.60 (step @p68 :rule beta-reduce :args ((= @t119 @t114))) % 0.36/0.60 (step @p69 :rule cong :premises (@p68) :args (@t120)) % 0.36/0.60 (step @p70 :rule trans :premises (@p69 @p67)) % 0.36/0.60 (step @p71 :rule cong :premises (@p70) :args (@t121)) % 0.36/0.60 (step @p72 :rule trans :premises (@p71 @p49)) % 0.36/0.60 (step @p73 :rule beta-reduce :args ((= (_ (lambda @t38 (forall @t109 (_ @t33 @t108 @t11))) @t118) @t121))) % 0.36/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.36/0.60 (step @p75 :rule refl :args (@t118)) % 0.36/0.60 (step @p76 :rule alpha_equiv :args (@t106 (@list @t3) (@list @t108))) % 0.36/0.60 (step @p77 :rule cong :premises (@p76) :args (@t107)) % 0.36/0.60 (step @p78 :rule ho_cong :premises (@p77 @p75)) % 0.36/0.60 (step @p79 :rule trans :premises (@p78 @p74)) % 0.36/0.60 (step @p80 :rule beta-reduce :args ((= (_ (lambda @t122 @t117) @t1) @t117))) % 0.36/0.60 (step @p81 :rule aci_norm :args ((= (or @t10 @t123) @t117))) % 0.36/0.60 (step @p82 :rule beta-reduce :args ((= @t126 @t123))) % 0.36/0.60 (step @p83 :rule refl :args (@t10)) % 0.36/0.60 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t127)) % 0.36/0.60 (step @p85 :rule trans :premises (@p84 @p81)) % 0.36/0.60 (step @p86 :rule cong :premises (@p85) :args (@t128)) % 0.36/0.60 (step @p87 :rule beta-reduce :args ((= (_ (lambda @t130 (or @t10 @t129)) @t125) @t128))) % 0.36/0.60 (step @p88 :rule trans :premises (@p87 @p86)) % 0.36/0.60 (step @p89 :rule quant-miniscope-or :args ((= (forall @t51 @t131) @t124))) % 0.36/0.60 (step @p90 :rule aci_norm :args ((= @t132 @t131))) % 0.36/0.60 (step @p91 :rule cong :premises (@p90) :args ((forall @t51 @t132))) % 0.36/0.60 (step @p92 :rule trans :premises (@p91 @p89)) % 0.36/0.60 (step @p93 :rule beta-reduce :args ((= @t134 @t116))) % 0.36/0.60 (step @p94 :rule refl :args (@t112)) % 0.36/0.60 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t135)) % 0.36/0.60 (step @p96 :rule cong :premises (@p95) :args (@t136)) % 0.36/0.60 (step @p97 :rule trans :premises (@p96 @p92)) % 0.36/0.60 (step @p98 :rule cong :premises (@p97) :args (@t137)) % 0.36/0.60 (step @p99 :rule beta-reduce :args ((= (_ @t139 @t133) @t137))) % 0.36/0.60 (step @p100 :rule trans :premises (@p99 @p98)) % 0.36/0.60 (step @p101 :rule beta-reduce :args ((= @t141 @t10))) % 0.36/0.60 (step @p102 :rule cong :premises (@p101) :args (@t142)) % 0.36/0.60 (step @p103 :rule cong :premises (@p102) :args (@t143)) % 0.36/0.60 (step @p104 :rule beta-reduce :args ((= (_ @t20 @t140) @t143))) % 0.36/0.60 (step @p105 :rule trans :premises (@p104 @p103)) % 0.36/0.60 (step @p106 :rule beta-reduce :args ((= (_ @t144 @t2) @t140))) % 0.36/0.60 (step @p107 :rule refl :args (@t2)) % 0.36/0.60 (step @p108 :rule beta-reduce :args ((= @t145 @t144))) % 0.36/0.60 (step @p109 :rule ho_cong :premises (@p108 @p107)) % 0.36/0.60 (step @p110 :rule trans :premises (@p109 @p106)) % 0.36/0.60 (step @p111 :rule refl :args (@t20)) % 0.36/0.60 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.36/0.60 (step @p113 :rule trans :premises (@p112 @p105)) % 0.36/0.60 (step @p114 :rule refl :args (@t139)) % 0.36/0.60 (step @p115 :rule ho_cong :premises (@p114 @p113)) % 0.36/0.60 (step @p116 :rule trans :premises (@p115 @p100)) % 0.36/0.60 (step @p117 :rule refl :args (@t129)) % 0.36/0.60 (step @p118 :rule bool-double-not-elim :args (@t10)) % 0.36/0.60 (step @p119 :rule beta-reduce :args ((= @t146 @t116))) % 0.36/0.60 (step @p120 :rule cong :premises (@p119) :args (@t147)) % 0.36/0.60 (step @p121 :rule trans :premises (@p120 @p118)) % 0.36/0.60 (step @p122 :rule nary_cong :premises (@p121 @p117) :args (@t148)) % 0.36/0.60 (step @p123 :rule cong :premises (@p122) :args (@t149)) % 0.36/0.60 (step @p124 :rule beta-reduce :args ((= (_ @t151 @t133) @t149))) % 0.36/0.60 (step @p125 :rule trans :premises (@p124 @p123)) % 0.36/0.60 (step @p126 :rule refl :args (@t151)) % 0.36/0.60 (step @p127 :rule ho_cong :premises (@p126 @p113)) % 0.36/0.60 (step @p128 :rule trans :premises (@p127 @p125)) % 0.36/0.60 (step @p129 :rule ho_cong :premises (@p128 @p116)) % 0.36/0.60 (step @p130 :rule trans :premises (@p129 @p88)) % 0.36/0.60 (step @p131 :rule ho_cong :premises (@p130 @p63)) % 0.36/0.60 (step @p132 :rule trans :premises (@p131 @p80)) % 0.36/0.60 (step @p133 :rule cong :premises (@p132) :args (@t153)) % 0.36/0.60 (step @p134 :rule refl :args (@t107)) % 0.36/0.60 (step @p135 :rule ho_cong :premises (@p134 @p133)) % 0.36/0.60 (step @p136 :rule trans :premises (@p135 @p79)) % 0.36/0.60 (step @p137 :rule ho_cong :premises (@p136 @p63)) % 0.36/0.60 (step @p138 :rule trans :premises (@p137 @p62)) % 0.36/0.60 (step @p139 :rule cong :premises (@p138) :args (@t154)) % 0.36/0.60 (step @p140 :rule trans :premises (@p139 @p61)) % 0.36/0.60 (step @p141 :rule ho_cong :premises (@p134 @p140)) % 0.36/0.60 (step @p142 :rule trans :premises (@p141 @p57)) % 0.36/0.60 (step @p143 :rule refl :args (@t98)) % 0.36/0.60 (step @p144 :rule ho_cong :premises (@p143 @p142)) % 0.36/0.60 (step @p145 :rule trans :premises (@p144 @p45)) % 0.36/0.60 (step @p146 :rule cong :premises (@p145) :args ((not (_ @t98 (_ @t107 @t154))))) % 0.36/0.60 (step @p147 :rule trans :premises (@p146 @p39)) % 0.36/0.60 (step @p148 :rule refl :args (@t3)) % 0.36/0.60 (step @p149 :rule ho_cong :premises (@p7 @p148)) % 0.36/0.60 (step @p150 :rule ho_cong :premises (@p149 @p107)) % 0.36/0.60 (step @p151 :rule ho_cong :premises (@p9 @p150)) % 0.36/0.60 (step @p152 :rule refl :args (@t138)) % 0.36/0.60 (step @p153 :rule refl :args (@t49)) % 0.36/0.60 (step @p154 :rule cong :premises (@p153 @p152) :args ((= @t49 @t138))) % 0.36/0.60 (step @p155 :rule symm :premises (@p154)) % 0.36/0.60 (step @p156 :rule eq_resolve :premises (@p153 @p155)) % 0.36/0.60 (step @p157 :rule refl :args (@t111)) % 0.36/0.60 (step @p158 :rule refl :args (@t87)) % 0.36/0.60 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t87 @t111))) % 0.36/0.60 (step @p160 :rule symm :premises (@p159)) % 0.36/0.60 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 0.36/0.60 (step @p162 :rule cong :premises (@p161) :args (@t88)) % 0.36/0.60 (step @p163 :rule nary_cong :premises (@p162 @p156) :args (@t89)) % 0.36/0.60 (step @p164 :rule cong :premises (@p163) :args (@t90)) % 0.36/0.60 (step @p165 :rule cong :premises (@p164) :args (@t91)) % 0.36/0.60 (step @p166 :rule trans :premises (@p37 @p165)) % 0.36/0.60 (step @p167 :rule ho_cong :premises (@p166 @p151)) % 0.36/0.60 (step @p168 :rule beta-reduce :args ((= (_ @t156 @t1) @t150))) % 0.36/0.60 (step @p169 :rule beta-reduce :args ((= (_ (lambda @t157 @t155) @t21) @t156))) % 0.36/0.60 (step @p170 :rule refl :args (@t21)) % 0.36/0.60 (step @p171 :rule refl :args (@t22)) % 0.36/0.60 (step @p172 :rule beta-reduce :args ((= @t159 @t18))) % 0.36/0.60 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t160)) % 0.36/0.60 (step @p174 :rule cong :premises (@p173) :args (@t161)) % 0.36/0.60 (step @p175 :rule beta-reduce :args ((= (_ @t23 @t158) @t161))) % 0.36/0.60 (step @p176 :rule trans :premises (@p175 @p174)) % 0.36/0.60 (step @p177 :rule beta-reduce :args ((= (_ @t20 @t16) @t158))) % 0.36/0.60 (step @p178 :rule refl :args (@t23)) % 0.36/0.60 (step @p179 :rule ho_cong :premises (@p178 @p177)) % 0.36/0.60 (step @p180 :rule trans :premises (@p179 @p176)) % 0.36/0.60 (step @p181 :rule ho_cong :premises (@p180 @p170)) % 0.36/0.60 (step @p182 :rule trans :premises (@p181 @p169)) % 0.36/0.60 (step @p183 :rule ho_cong :premises (@p182 @p63)) % 0.36/0.60 (step @p184 :rule trans :premises (@p183 @p168)) % 0.36/0.60 (step @p185 :rule refl :args (@t16)) % 0.36/0.60 (step @p186 :rule ho_cong :premises (@p9 @p185)) % 0.36/0.60 (step @p187 :rule ho_cong :premises (@p10 @p186)) % 0.36/0.60 (step @p188 :rule ho_cong :premises (@p187 @p170)) % 0.36/0.60 (step @p189 :rule ho_cong :premises (@p188 @p63)) % 0.36/0.60 (step @p190 :rule trans :premises (@p189 @p184)) % 0.36/0.60 (step @p191 :rule cong :premises (@p190) :args (@t29)) % 0.36/0.60 (step @p192 :rule trans :premises (@p12 @p191)) % 0.36/0.60 (step @p193 :rule ho_cong :premises (@p192 @p151)) % 0.36/0.60 (step @p194 :rule ho_cong :premises (@p193 @p167)) % 0.36/0.60 (step @p195 :rule ho_cong :premises (@p194 @p63)) % 0.36/0.60 (step @p196 :rule cong :premises (@p195) :args (@t6)) % 0.36/0.60 (step @p197 :rule refl :args (@t105)) % 0.36/0.60 (step @p198 :rule refl :args (@t35)) % 0.36/0.60 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t35 @t105))) % 0.36/0.60 (step @p200 :rule symm :premises (@p199)) % 0.36/0.60 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 0.36/0.60 (step @p202 :rule cong :premises (@p201) :args (@t37)) % 0.36/0.60 (step @p203 :rule cong :premises (@p202) :args (@t39)) % 0.36/0.60 (step @p204 :rule trans :premises (@p16 @p203)) % 0.36/0.60 (step @p205 :rule ho_cong :premises (@p204 @p196)) % 0.36/0.60 (step @p206 :rule ho_cong :premises (@p205 @p63)) % 0.36/0.60 (step @p207 :rule cong :premises (@p206) :args (@t8)) % 0.36/0.60 (step @p208 :rule ho_cong :premises (@p204 @p207)) % 0.36/0.60 (step @p209 :rule refl :args (@t97)) % 0.36/0.60 (step @p210 :rule refl :args (@t17)) % 0.36/0.60 (step @p211 :rule cong :premises (@p210 @p209) :args ((= @t17 @t97))) % 0.36/0.60 (step @p212 :rule symm :premises (@p211)) % 0.36/0.60 (step @p213 :rule eq_resolve :premises (@p210 @p212)) % 0.36/0.60 (step @p214 :rule cong :premises (@p213) :args (@t81)) % 0.36/0.60 (step @p215 :rule cong :premises (@p214) :args (@t83)) % 0.36/0.60 (step @p216 :rule trans :premises (@p33 @p215)) % 0.36/0.60 (step @p217 :rule ho_cong :premises (@p216 @p208)) % 0.36/0.60 (step @p218 :rule cong :premises (@p217) :args (@t9)) % 0.36/0.60 (step @p219 :rule trans :premises (@p218 @p147)) % 0.36/0.60 (step @p220 false :rule eq_resolve :premises (@p5 @p219)) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------