%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO446^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:40 AM UTC 2026 % Result : Theorem 0.37s 0.66s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO446^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:07:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.37/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.66 % SZS status Theorem % 0.37/0.66 % SZS output start Proof % 0.37/0.66 ( % 0.37/0.66 (declare-sort $$unsorted 0) % 0.37/0.66 (declare-sort tptp.mu 0) % 0.37/0.66 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.66 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.66 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.66 (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)))))) % 0.37/0.66 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.66 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.66 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.66 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.66 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.66 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.66 (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))))))) % 0.37/0.66 (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))))))) % 0.37/0.66 (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)))))) % 0.37/0.66 (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)))))) % 0.37/0.66 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.66 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.37/0.66 (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)))))) % 0.37/0.66 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.66 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.66 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.66 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.66 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.66 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.66 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.66 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.37/0.66 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.66 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.66 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.66 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.66 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.66 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.66 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$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)))))))) % 0.37/0.66 (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))))) % 0.37/0.66 (define @t1 () (_ tptp.mdia_s5 tptp.q)) % 0.37/0.66 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ tptp.mdia_s5 (_ (_ tptp.mand tptp.p) @t1))) (_ (_ tptp.mand (_ tptp.mdia_s5 tptp.p)) @t1))))) % 0.37/0.66 (define @t3 () (@var "Y" tptp.mu)) % 0.37/0.66 (define @t4 () (@var "X" tptp.mu)) % 0.37/0.66 (define @t5 () (@var "W" $$unsorted)) % 0.37/0.66 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.37/0.66 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.66 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.66 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.37/0.66 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.66 (define @t11 () (_ @t10 @t5)) % 0.37/0.66 (define @t12 () (not @t11)) % 0.37/0.66 (define @t13 () (@list @t10 @t5)) % 0.37/0.66 (define @t14 () (lambda @t13 @t12)) % 0.37/0.66 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.66 (define @t16 () (_ @t15 @t5)) % 0.37/0.66 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.37/0.66 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.66 (define @t19 () (_ tptp.mnot @t15)) % 0.37/0.66 (define @t20 () (_ tptp.mnot @t10)) % 0.37/0.66 (define @t21 () (_ tptp.mor @t20)) % 0.37/0.66 (define @t22 () (@list @t10 @t15 @t18)) % 0.37/0.66 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.37/0.66 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.37/0.66 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.37/0.66 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.37/0.66 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.37/0.66 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.66 (define @t29 () (_ @t28 @t4)) % 0.37/0.66 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.37/0.66 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.66 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.66 (define @t33 () (_ @t32 @t31)) % 0.37/0.66 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.37/0.66 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.37/0.66 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.37/0.66 (define @t37 () (@list @t5)) % 0.37/0.66 (define @t38 () (lambda @t37 true)) % 0.37/0.66 (define @t39 () (@var "V" $$unsorted)) % 0.37/0.66 (define @t40 () (_ @t10 @t39)) % 0.37/0.66 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.66 (define @t42 () (@list @t39)) % 0.37/0.66 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.37/0.66 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.37/0.66 (define @t45 () (@var "S" $$unsorted)) % 0.37/0.66 (define @t46 () (_ @t41 @t45)) % 0.37/0.66 (define @t47 () (@list @t45)) % 0.37/0.66 (define @t48 () (@list @t41)) % 0.37/0.66 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.37/0.66 (define @t50 () (@var "T" $$unsorted)) % 0.37/0.66 (define @t51 () (_ @t41 @t50)) % 0.37/0.66 (define @t52 () (_ @t51 @t45)) % 0.37/0.66 (define @t53 () (_ @t46 @t50)) % 0.37/0.66 (define @t54 () (@list @t45 @t50)) % 0.37/0.66 (define @t55 () (forall @t54 (=> @t53 @t52))) % 0.37/0.66 (define @t56 () (lambda @t48 @t55)) % 0.37/0.66 (define @t57 () (@list @t50)) % 0.37/0.66 (define @t58 () (lambda @t48 (forall @t47 (exists @t57 @t53)))) % 0.37/0.66 (define @t59 () (@var "U" $$unsorted)) % 0.37/0.66 (define @t60 () (_ @t46 @t59)) % 0.37/0.66 (define @t61 () (_ @t51 @t59)) % 0.37/0.66 (define @t62 () (and @t53 @t61)) % 0.37/0.66 (define @t63 () (@list @t45 @t50 @t59)) % 0.37/0.66 (define @t64 () (forall @t63 (=> @t62 @t60))) % 0.37/0.66 (define @t65 () (lambda @t48 @t64)) % 0.37/0.66 (define @t66 () (and @t53 @t60)) % 0.37/0.66 (define @t67 () (lambda @t48 (forall @t63 (=> @t66 @t61)))) % 0.37/0.66 (define @t68 () (= @t50 @t59)) % 0.37/0.66 (define @t69 () (lambda @t48 (forall @t63 (=> @t66 @t68)))) % 0.37/0.66 (define @t70 () (@list @t59)) % 0.37/0.66 (define @t71 () (lambda @t48 (forall @t47 (exists @t57 (and @t53 (forall @t70 (=> @t60 @t68))))))) % 0.37/0.66 (define @t72 () (_ @t41 @t59)) % 0.37/0.66 (define @t73 () (_ @t72 @t50)) % 0.37/0.66 (define @t74 () (lambda @t48 (forall @t63 (=> @t53 (exists @t70 (and @t60 @t73)))))) % 0.37/0.66 (define @t75 () (lambda @t48 (forall @t63 (=> @t66 (or @t61 @t68 @t73))))) % 0.37/0.66 (define @t76 () (lambda @t48 (forall @t63 (=> @t66 (exists @t42 (and (_ @t51 @t39) (_ @t72 @t39))))))) % 0.37/0.66 (define @t77 () (forall @t37 @t11)) % 0.37/0.66 (define @t78 () (@list @t10)) % 0.37/0.66 (define @t79 () (lambda @t78 @t77)) % 0.37/0.66 (define @t80 () (lambda @t78 (forall @t37 @t12))) % 0.37/0.66 (define @t81 () (lambda @t78 (exists @t37 @t11))) % 0.37/0.66 (define @t82 () (lambda @t78 (exists @t37 @t12))) % 0.37/0.66 (define @t83 () (_ (_ tptp.rel_s5 @t5) @t39)) % 0.37/0.66 (define @t84 () (not @t83)) % 0.37/0.66 (define @t85 () (or @t84 @t40)) % 0.37/0.66 (define @t86 () (forall @t42 @t85)) % 0.37/0.66 (define @t87 () (lambda @t13 @t86)) % 0.37/0.66 (define @t88 () (@list @t10 @t18)) % 0.37/0.66 (define @t89 () (lambda @t88 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t20)) @t18))) % 0.37/0.66 (define @t90 () (@var "BOUND_VARIABLE_8618" $$unsorted)) % 0.37/0.66 (define @t91 () (not (tptp.q @t90))) % 0.37/0.66 (define @t92 () (@var "BOUND_VARIABLE_8616" $$unsorted)) % 0.37/0.66 (define @t93 () (not (tptp.rel_s5 @t92 @t90))) % 0.37/0.66 (define @t94 () (not (tptp.p @t92))) % 0.37/0.66 (define @t95 () (@var "BOUND_VARIABLE_8585" $$unsorted)) % 0.37/0.66 (define @t96 () (not (tptp.rel_s5 @t95 @t92))) % 0.37/0.66 (define @t97 () (not (tptp.q @t39))) % 0.37/0.66 (define @t98 () (not (tptp.rel_s5 @t95 @t39))) % 0.37/0.66 (define @t99 () (tptp.p @t39)) % 0.37/0.66 (define @t100 () (not @t99)) % 0.37/0.66 (define @t101 () (and (not (forall @t42 (or @t98 @t100))) (not (forall @t42 (or @t98 @t97))))) % 0.37/0.66 (define @t102 () (or @t101 @t96 @t94 @t93 @t91)) % 0.37/0.66 (define @t103 () (@list @t95 @t92 @t90)) % 0.37/0.66 (define @t104 () (forall @t103 @t102)) % 0.37/0.66 (define @t105 () (@quantifiers_skolemize @t104 2)) % 0.37/0.66 (define @t106 () (tptp.q @t105)) % 0.37/0.66 (define @t107 () (not @t106)) % 0.37/0.66 (define @t108 () (@quantifiers_skolemize @t104 1)) % 0.37/0.66 (define @t109 () (tptp.rel_s5 @t108 @t105)) % 0.37/0.66 (define @t110 () (not @t109)) % 0.37/0.66 (define @t111 () (tptp.p @t108)) % 0.37/0.66 (define @t112 () (not @t111)) % 0.37/0.66 (define @t113 () (@quantifiers_skolemize @t104 0)) % 0.37/0.66 (define @t114 () (tptp.rel_s5 @t113 @t108)) % 0.37/0.66 (define @t115 () (not @t114)) % 0.37/0.66 (define @t116 () (not (tptp.rel_s5 @t113 @t39))) % 0.37/0.66 (define @t117 () (forall @t42 (or @t116 @t97))) % 0.37/0.66 (define @t118 () (not @t117)) % 0.37/0.66 (define @t119 () (forall @t42 (or @t116 @t100))) % 0.37/0.66 (define @t120 () (not @t119)) % 0.37/0.66 (define @t121 () (and @t120 @t118)) % 0.37/0.66 (define @t122 () (or @t121 @t115 @t112 @t110 @t107)) % 0.37/0.66 (define @t123 () (or @t115 @t112)) % 0.37/0.66 (define @t124 () (not (tptp.rel_s5 @t45 @t50))) % 0.37/0.66 (define @t125 () (_ @t41 @t45 @t59)) % 0.37/0.66 (define @t126 () (_ @t41 @t50 @t59)) % 0.37/0.66 (define @t127 () (_ @t41 @t45 @t50)) % 0.37/0.66 (define @t128 () (not @t127)) % 0.37/0.66 (define @t129 () (not @t61)) % 0.37/0.66 (define @t130 () (not @t53)) % 0.37/0.66 (define @t131 () (or @t130 @t129 @t60)) % 0.37/0.66 (define @t132 () (tptp.rel_s5 @t113 @t105)) % 0.37/0.66 (define @t133 () (or @t115 @t110 @t132)) % 0.37/0.66 (define @t134 () (not @t132)) % 0.37/0.66 (define @t135 () (or @t134 @t107)) % 0.37/0.66 (define @t136 () (not @t122)) % 0.37/0.66 (define @t137 () (not @t104)) % 0.37/0.66 (define @t138 () (@list false)) % 0.37/0.66 (define @t139 () (@var "BOUND_VARIABLE_8641" $$unsorted)) % 0.37/0.66 (define @t140 () (not (tptp.q @t139))) % 0.37/0.66 (define @t141 () (@var "BOUND_VARIABLE_8601" $$unsorted)) % 0.37/0.66 (define @t142 () (not (tptp.rel_s5 @t141 @t139))) % 0.37/0.66 (define @t143 () (@var "BOUND_VARIABLE_8634" $$unsorted)) % 0.37/0.66 (define @t144 () (not (tptp.p @t143))) % 0.37/0.66 (define @t145 () (not (tptp.rel_s5 @t141 @t143))) % 0.37/0.66 (define @t146 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 0.37/0.66 (define @t147 () (not (tptp.q @t146))) % 0.37/0.66 (define @t148 () (not (tptp.rel_s5 @t39 @t146))) % 0.37/0.66 (define @t149 () (not (tptp.rel_s5 @t141 @t39))) % 0.37/0.66 (define @t150 () (@list @t39 @t146)) % 0.37/0.66 (define @t151 () (not (forall @t150 (or @t149 @t100 @t148 @t147)))) % 0.37/0.66 (define @t152 () (or @t151 @t145 @t144 @t142 @t140)) % 0.37/0.66 (define @t153 () (or @t142 @t140)) % 0.37/0.66 (define @t154 () (or @t145 @t144)) % 0.37/0.66 (define @t155 () (or @t151 @t154 @t153)) % 0.37/0.66 (define @t156 () (@list @t141 @t143 @t139)) % 0.37/0.66 (define @t157 () (forall @t156 @t155)) % 0.37/0.66 (define @t158 () (forall (@list @t143 @t139) @t155)) % 0.37/0.66 (define @t159 () (@list @t141)) % 0.37/0.66 (define @t160 () (forall (@list @t139) @t153)) % 0.37/0.66 (define @t161 () (@list @t39)) % 0.37/0.66 (define @t162 () (forall (@list @t143) @t154)) % 0.37/0.66 (define @t163 () (or @t151 @t162 @t160)) % 0.37/0.66 (define @t164 () (forall @t159 (or @t151 (forall @t42 (or @t149 @t100)) (forall @t42 (or @t149 @t97))))) % 0.37/0.66 (define @t165 () (or @t96 @t94 @t93 @t91)) % 0.37/0.66 (define @t166 () (or @t165 @t101)) % 0.37/0.66 (define @t167 () (forall @t103 @t166)) % 0.37/0.66 (define @t168 () (@list @t92 @t90)) % 0.37/0.66 (define @t169 () (forall @t168 @t166)) % 0.37/0.66 (define @t170 () (@list @t95)) % 0.37/0.66 (define @t171 () (forall @t168 @t165)) % 0.37/0.66 (define @t172 () (or @t171 @t101)) % 0.37/0.66 (define @t173 () (forall @t170 (or (forall @t150 (or @t98 @t100 @t148 @t147)) @t101))) % 0.37/0.66 (define @t174 () (tptp.rel_s5 @t5 @t39)) % 0.37/0.66 (define @t175 () (not @t174)) % 0.37/0.66 (define @t176 () (forall @t42 (or @t175 @t97))) % 0.37/0.66 (define @t177 () (forall @t42 (or @t175 @t100))) % 0.37/0.66 (define @t178 () (forall @t150 (or @t175 @t100 @t148 @t147))) % 0.37/0.66 (define @t179 () (or (not @t178) @t177 @t176)) % 0.37/0.66 (define @t180 () (forall @t37 @t179)) % 0.37/0.66 (define @t181 () (@list @t5)) % 0.37/0.66 (define @t182 () (or @t178 (and (not @t177) (not @t176)))) % 0.37/0.66 (define @t183 () (forall @t37 @t182)) % 0.37/0.66 (define @t184 () (and @t183 @t180)) % 0.37/0.66 (define @t185 () (or @t178 (not (or @t177 @t176)))) % 0.37/0.66 (define @t186 () (not @t179)) % 0.37/0.66 (define @t187 () (not @t185)) % 0.37/0.66 (define @t188 () (not (or @t187 @t186))) % 0.37/0.66 (define @t189 () (not (tptp.rel_s5 @t18 @t39))) % 0.37/0.66 (define @t190 () (forall @t42 (or @t189 @t97))) % 0.37/0.66 (define @t191 () (forall @t42 (or @t189 @t100))) % 0.37/0.66 (define @t192 () (or @t189 @t100 @t148 @t147)) % 0.37/0.66 (define @t193 () (forall @t150 @t192)) % 0.37/0.66 (define @t194 () (not @t193)) % 0.37/0.66 (define @t195 () (or @t194 @t191 @t190)) % 0.37/0.66 (define @t196 () (or @t191 @t190)) % 0.37/0.66 (define @t197 () (not @t196)) % 0.37/0.66 (define @t198 () (@list @t18)) % 0.37/0.66 (define @t199 () (lambda @t198 (not (or (not (or @t193 @t197)) (not @t195))))) % 0.37/0.66 (define @t200 () (_ @t199 @t5)) % 0.37/0.66 (define @t201 () (forall @t37 @t200)) % 0.37/0.66 (define @t202 () (_ @t10 @t5)) % 0.37/0.66 (define @t203 () (lambda @t78 (forall @t37 @t202))) % 0.37/0.66 (define @t204 () (lambda @t198 @t197)) % 0.37/0.66 (define @t205 () (_ @t204 @t18)) % 0.37/0.66 (define @t206 () (not @t205)) % 0.37/0.66 (define @t207 () (or @t206 @t194)) % 0.37/0.66 (define @t208 () (not @t207)) % 0.37/0.66 (define @t209 () (or @t193 @t205)) % 0.37/0.66 (define @t210 () (not @t209)) % 0.37/0.66 (define @t211 () (or @t210 @t208)) % 0.37/0.66 (define @t212 () (not @t211)) % 0.37/0.66 (define @t213 () (lambda @t198 @t212)) % 0.37/0.66 (define @t214 () (_ @t15 @t18)) % 0.37/0.66 (define @t215 () (not @t214)) % 0.37/0.66 (define @t216 () (@list @t15 @t18)) % 0.37/0.66 (define @t217 () (not @t190)) % 0.37/0.66 (define @t218 () (lambda @t198 @t217)) % 0.37/0.66 (define @t219 () (_ @t218 @t18)) % 0.37/0.66 (define @t220 () (not @t219)) % 0.37/0.66 (define @t221 () (or @t191 @t220)) % 0.37/0.66 (define @t222 () (not @t221)) % 0.37/0.66 (define @t223 () (lambda @t198 @t222)) % 0.37/0.66 (define @t224 () (_ @t10 @t39)) % 0.37/0.66 (define @t225 () (not @t224)) % 0.37/0.66 (define @t226 () (not (forall @t42 (or @t189 @t225)))) % 0.37/0.66 (define @t227 () (lambda @t88 @t226)) % 0.37/0.66 (define @t228 () (_ @t227 tptp.q)) % 0.37/0.66 (define @t229 () (not @t191)) % 0.37/0.66 (define @t230 () (lambda @t198 @t229)) % 0.37/0.66 (define @t231 () (_ @t230 @t18)) % 0.37/0.66 (define @t232 () (not @t231)) % 0.37/0.66 (define @t233 () (or @t232 @t215)) % 0.37/0.66 (define @t234 () (not @t233)) % 0.37/0.66 (define @t235 () (lambda @t216 @t234)) % 0.37/0.66 (define @t236 () (_ @t10 @t18)) % 0.37/0.66 (define @t237 () (not @t236)) % 0.37/0.66 (define @t238 () (not (or @t237 @t215))) % 0.37/0.66 (define @t239 () (lambda @t22 @t238)) % 0.37/0.66 (define @t240 () (_ @t227 tptp.p)) % 0.37/0.66 (define @t241 () (lambda @t198 @t194)) % 0.37/0.66 (define @t242 () (_ @t241 @t18)) % 0.37/0.66 (define @t243 () (or @t215 @t242)) % 0.37/0.66 (define @t244 () (not @t243)) % 0.37/0.66 (define @t245 () (not @t242)) % 0.37/0.66 (define @t246 () (or @t245 @t214)) % 0.37/0.66 (define @t247 () (not @t246)) % 0.37/0.66 (define @t248 () (or @t247 @t244)) % 0.37/0.66 (define @t249 () (not @t248)) % 0.37/0.66 (define @t250 () (lambda @t216 @t249)) % 0.37/0.66 (define @t251 () (or @t215 @t236)) % 0.37/0.66 (define @t252 () (or @t237 @t214)) % 0.37/0.66 (define @t253 () (not @t252)) % 0.37/0.66 (define @t254 () (not (or @t253 (not @t251)))) % 0.37/0.66 (define @t255 () (lambda @t22 @t254)) % 0.37/0.66 (define @t256 () (or @t148 @t147)) % 0.37/0.66 (define @t257 () (or @t189 @t100 @t256)) % 0.37/0.66 (define @t258 () (forall @t150 @t257)) % 0.37/0.66 (define @t259 () (@list @t146)) % 0.37/0.66 (define @t260 () (forall @t259 @t257)) % 0.37/0.66 (define @t261 () (forall @t259 @t256)) % 0.37/0.66 (define @t262 () (@var "BOUND_VARIABLE_8457" $$unsorted)) % 0.37/0.66 (define @t263 () (@list @t262)) % 0.37/0.66 (define @t264 () (or @t189 @t100 @t261)) % 0.37/0.66 (define @t265 () (not (tptp.q @t262))) % 0.37/0.66 (define @t266 () (@list @t262)) % 0.37/0.66 (define @t267 () (forall @t266 (or (not (tptp.rel_s5 @t39 @t262)) @t265))) % 0.37/0.66 (define @t268 () (_ tptp.p @t39)) % 0.37/0.66 (define @t269 () (not @t268)) % 0.37/0.66 (define @t270 () (or @t189 @t269 @t267)) % 0.37/0.66 (define @t271 () (or @t269 @t267)) % 0.37/0.66 (define @t272 () (not (_ tptp.p @t18))) % 0.37/0.66 (define @t273 () (or @t272 @t190)) % 0.37/0.66 (define @t274 () (not @t273)) % 0.37/0.66 (define @t275 () (lambda @t198 @t274)) % 0.37/0.66 (define @t276 () (not (_ @t275 @t39))) % 0.37/0.66 (define @t277 () (or @t189 @t276)) % 0.37/0.66 (define @t278 () (forall @t42 @t277)) % 0.37/0.66 (define @t279 () (not @t278)) % 0.37/0.66 (define @t280 () (lambda @t198 @t279)) % 0.37/0.66 (define @t281 () (or @t272 @t220)) % 0.37/0.66 (define @t282 () (not @t281)) % 0.37/0.66 (define @t283 () (lambda @t198 @t282)) % 0.37/0.66 (define @t284 () (lambda @t216 (not (or @t272 @t215)))) % 0.37/0.66 (define @t285 () (_ @t239 tptp.p)) % 0.37/0.66 (define @t286 () (forall @t42 (or @t175 @t225))) % 0.37/0.66 (define @t287 () (lambda @t37 @t286)) % 0.37/0.66 (define @t288 () (_ @t287 @t5)) % 0.37/0.66 (define @t289 () (not @t288)) % 0.37/0.66 (define @t290 () (lambda @t37 @t289)) % 0.37/0.66 (define @t291 () (not @t40)) % 0.37/0.66 (define @t292 () (or @t175 @t291)) % 0.37/0.66 (define @t293 () (lambda @t37 @t12)) % 0.37/0.66 (define @t294 () (_ @t293 @t39)) % 0.37/0.66 (define @t295 () (or @t175 @t294)) % 0.37/0.66 (define @t296 () (forall @t42 @t295)) % 0.37/0.66 (define @t297 () (lambda @t37 @t296)) % 0.37/0.66 (define @t298 () (lambda @t13 (forall @t42 (or @t175 @t224)))) % 0.37/0.66 (define @t299 () (not @t16)) % 0.37/0.66 (define @t300 () (or @t12 @t299)) % 0.37/0.66 (define @t301 () (lambda @t37 @t300)) % 0.37/0.66 (define @t302 () (_ @t301 @t5)) % 0.37/0.66 (define @t303 () (not @t302)) % 0.37/0.66 (define @t304 () (lambda @t37 @t303)) % 0.37/0.66 (define @t305 () (lambda @t37 @t299)) % 0.37/0.66 (define @t306 () (_ @t305 @t5)) % 0.37/0.66 (define @t307 () (or @t12 @t306)) % 0.37/0.66 (define @t308 () (lambda @t37 @t307)) % 0.37/0.66 (define @t309 () (or @t12 @t16)) % 0.37/0.66 (define @t310 () (@list @t15 @t5)) % 0.37/0.66 (define @t311 () (lambda @t310 @t309)) % 0.37/0.66 (define @t312 () (_ @t293 @t5)) % 0.37/0.66 (define @t313 () (or @t312 @t16)) % 0.37/0.66 (define @t314 () (lambda @t310 @t313)) % 0.37/0.66 (define @t315 () (lambda @t198 @t251)) % 0.37/0.66 (define @t316 () (_ @t315 @t18)) % 0.37/0.66 (define @t317 () (not @t316)) % 0.37/0.66 (define @t318 () (or @t253 @t317)) % 0.37/0.66 (define @t319 () (not @t318)) % 0.37/0.66 (define @t320 () (lambda @t198 @t319)) % 0.37/0.66 (define @t321 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.37/0.66 (define @t322 () (not (_ @t321 @t18))) % 0.37/0.66 (define @t323 () (@list @t321 @t18)) % 0.37/0.66 (define @t324 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.37/0.66 (define @t325 () (_ @t324 @t18)) % 0.37/0.66 (define @t326 () (lambda (@list @t324 @t18) (or @t215 @t325))) % 0.37/0.66 (define @t327 () (lambda @t22 @t252)) % 0.37/0.66 (define @t328 () (@list @t15)) % 0.37/0.66 (define @t329 () (lambda @t198 @t252)) % 0.37/0.66 (define @t330 () (_ @t329 @t18)) % 0.37/0.66 (define @t331 () (not @t330)) % 0.37/0.66 (define @t332 () (or @t331 @t322)) % 0.37/0.66 (define @t333 () (not @t332)) % 0.37/0.66 (define @t334 () (lambda @t323 @t333)) % 0.37/0.66 (define @t335 () (lambda @t216 @t252)) % 0.37/0.66 (define @t336 () (lambda @t37 @t309)) % 0.37/0.66 (define @t337 () (forall @t156 @t152)) % 0.37/0.66 (define @t338 () (not @t337)) % 0.37/0.66 (define @t339 () (@quantifiers_skolemize @t337 2)) % 0.37/0.66 (define @t340 () (tptp.q @t339)) % 0.37/0.66 (define @t341 () (not @t340)) % 0.37/0.66 (define @t342 () (@quantifiers_skolemize @t337 0)) % 0.37/0.66 (define @t343 () (tptp.rel_s5 @t342 @t339)) % 0.37/0.66 (define @t344 () (not @t343)) % 0.37/0.66 (define @t345 () (@quantifiers_skolemize @t337 1)) % 0.37/0.66 (define @t346 () (tptp.p @t345)) % 0.37/0.66 (define @t347 () (not @t346)) % 0.37/0.66 (define @t348 () (tptp.rel_s5 @t342 @t345)) % 0.37/0.66 (define @t349 () (not @t348)) % 0.37/0.66 (define @t350 () (forall @t150 (or (not (tptp.rel_s5 @t342 @t39)) @t100 @t148 @t147))) % 0.37/0.66 (define @t351 () (not @t350)) % 0.37/0.66 (define @t352 () (or @t351 @t349 @t347 @t344 @t341)) % 0.37/0.66 (define @t353 () (not @t352)) % 0.37/0.66 (define @t354 () (@list true)) % 0.37/0.66 (define @t355 () (@list @t352)) % 0.37/0.66 (define @t356 () (_ @t41 @t50 @t45)) % 0.37/0.66 (define @t357 () (or @t130 @t52)) % 0.37/0.66 (define @t358 () (tptp.rel_s5 @t345 @t342)) % 0.37/0.66 (define @t359 () (or @t349 @t358)) % 0.37/0.66 (define @t360 () (tptp.rel_s5 @t345 @t339)) % 0.37/0.66 (define @t361 () (not @t358)) % 0.37/0.66 (define @t362 () (or @t361 @t344 @t360)) % 0.37/0.66 (define @t363 () (not @t360)) % 0.37/0.66 (define @t364 () (or @t349 @t347 @t363 @t341)) % 0.37/0.66 (define @t365 () (not @t364)) % 0.37/0.66 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.66 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.37/0.66 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.37/0.66 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.37/0.66 (assume @p5 @t2) % 0.37/0.66 (assume @p6 true) % 0.37/0.66 (step @p7 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.37/0.66 (step @p8 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.37/0.66 (step @p9 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.37/0.66 (step @p10 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.37/0.66 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.37/0.66 (step @p12 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.37/0.66 (step @p13 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.37/0.66 (step @p14 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.37/0.66 (step @p15 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.37/0.66 (step @p16 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.37/0.66 (step @p17 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.37/0.66 (step @p18 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.37/0.66 (step @p19 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.37/0.66 (step @p20 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.37/0.66 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.66 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.66 (step @p23 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.37/0.66 (step @p24 (= tptp.msymmetric @t56) :rule refl :args (@t56)) % 0.37/0.66 (step @p25 (= tptp.mserial @t58) :rule refl :args (@t58)) % 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@t355)) % 0.37/0.66 (step @p494 :rule instantiate :premises (@p96) :args ((@list @t345 @t342 @t339))) % 0.37/0.66 (step @p495 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t54 (or @t128 @t356))) tptp.rel_s5) (forall @t54 (or @t124 (tptp.rel_s5 @t50 @t45)))))) % 0.37/0.66 (step @p496 :rule refl :args (@t356)) % 0.37/0.66 (step @p497 :rule refl :args (@t52)) % 0.37/0.66 (step @p498 :rule cong :premises (@p497 @p496) :args ((= @t52 @t356))) % 0.37/0.66 (step @p499 :rule symm :premises (@p498)) % 0.37/0.66 (step @p500 :rule eq_resolve :premises (@p497 @p499)) % 0.37/0.66 (step @p501 :rule nary_cong :premises (@p81 @p500) :args (@t357)) % 0.37/0.66 (step @p502 :rule cong :premises (@p501) :args ((forall @t54 @t357))) % 0.37/0.66 (step @p503 :rule bool-impl-elim :args (@t53 @t52)) % 0.37/0.66 (step @p504 :rule cong :premises (@p503) :args (@t55)) % 0.37/0.66 (step @p505 :rule trans :premises (@p504 @p502)) % 0.37/0.66 (step @p506 :rule cong :premises (@p505) :args (@t56)) % 0.37/0.66 (step @p507 :rule trans :premises (@p24 @p506)) % 0.37/0.66 (step @p508 :rule ho_cong :premises (@p507 @p64)) % 0.37/0.66 (step @p509 :rule trans :premises (@p508 @p495)) % 0.37/0.66 (step @p510 :rule eq_resolve :premises (@p4 @p509)) % 0.37/0.66 (step @p511 :rule instantiate :premises (@p510) :args ((@list @t342 @t345))) % 0.37/0.66 (step @p512 :rule bool-double-not-elim :args (@t348)) % 0.37/0.66 (step @p513 :rule nary_cong :premises (@p488 @p512) :args ((or @t352 (not @t349)))) % 0.37/0.66 (step @p514 :rule cnf_or_neg :args (@t352 1)) % 0.37/0.66 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 0.37/0.66 (step @p516 :rule reordering :premises (@p515) :args ((or @t348 @t352))) % 0.37/0.66 (step @p517 :rule chain_m_resolution :premises (@p516 @p486) :args (@t348 @t354 @t355)) % 0.37/0.66 (step @p518 :rule cnf_or_pos :args (@t359)) % 0.37/0.66 (step @p519 :rule reordering :premises (@p518) :args ((or @t349 @t358 (not @t359)))) % 0.37/0.66 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p511) :args (@t358 (@list false false) (@list @t348 @t359))) % 0.37/0.66 (step @p521 :rule bool-double-not-elim :args (@t343)) % 0.37/0.66 (step @p522 :rule nary_cong :premises (@p488 @p521) :args ((or @t352 (not @t344)))) % 0.37/0.66 (step @p523 :rule cnf_or_neg :args (@t352 3)) % 0.37/0.66 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 0.37/0.66 (step @p525 :rule reordering :premises (@p524) :args ((or @t343 @t352))) % 0.37/0.66 (step @p526 :rule chain_m_resolution :premises (@p525 @p486) :args (@t343 @t354 @t355)) % 0.37/0.66 (step @p527 :rule cnf_or_pos :args (@t362)) % 0.37/0.66 (step @p528 :rule reordering :premises (@p527) :args ((or @t344 @t361 @t360 (not @t362)))) % 0.37/0.66 (step @p529 :rule chain_m_resolution :premises (@p528 @p526 @p520 @p494) :args (@t360 (@list false false false) (@list @t343 @t358 @t362))) % 0.37/0.66 (step @p530 :rule bool-double-not-elim :args (@t340)) % 0.37/0.66 (step @p531 :rule nary_cong :premises (@p488 @p530) :args ((or @t352 (not @t341)))) % 0.37/0.66 (step @p532 :rule cnf_or_neg :args (@t352 4)) % 0.37/0.66 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 0.37/0.66 (step @p534 :rule reordering :premises (@p533) :args ((or @t340 @t352))) % 0.37/0.66 (step @p535 :rule chain_m_resolution :premises (@p534 @p486) :args (@t340 @t354 @t355)) % 0.37/0.66 (step @p536 :rule bool-double-not-elim :args (@t346)) % 0.37/0.66 (step @p537 :rule nary_cong :premises (@p488 @p536) :args ((or @t352 (not @t347)))) % 0.37/0.66 (step @p538 :rule cnf_or_neg :args (@t352 2)) % 0.37/0.66 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 0.37/0.66 (step @p540 :rule reordering :premises (@p539) :args ((or @t346 @t352))) % 0.37/0.66 (step @p541 :rule chain_m_resolution :premises (@p540 @p486) :args (@t346 @t354 @t355)) % 0.37/0.66 (step @p542 :rule cnf_or_pos :args (@t364)) % 0.37/0.66 (step @p543 :rule reordering :premises (@p542) :args ((or @t349 @t347 @t341 @t363 @t365))) % 0.37/0.66 (step @p544 :rule chain_m_resolution :premises (@p543 @p517 @p541 @p535 @p529) :args (@t365 (@list false false false false) (@list @t348 @t346 @t340 @t360))) % 0.37/0.66 (assume-push @p559 @t350) % 0.37/0.66 (step @p546 :rule instantiate :premises (@p559) :args ((@list @t345 @t339))) % 0.37/0.66 (step-pop @p560 :rule scope :premises (@p546)) % 0.37/0.66 (step @p547 :rule process_scope :premises (@p560) :args (@t364)) % 0.37/0.66 (step @p549 :rule implies_elim :premises (@p547)) % 0.37/0.66 (step @p550 false :rule chain_m_resolution :premises (@p549 @p544 @p493) :args (false (@list true false) (@list @t364 @t350))) % 0.37/0.66 ) % 0.37/0.66 % SZS output end Proof % 0.37/0.66 % cvc5 exiting %------------------------------------------------------------------------------