%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO469^5 : 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 : n018.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 09:12:53 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO469^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.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 00:13:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-sort tptp.mu 0) % 0.37/0.62 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.62 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.62 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.62 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.62 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.62 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.62 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.62 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.62 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.62 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.62 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.62 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.62 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.62 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.62 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.62 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.62 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.62 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.37/0.62 (define tptp.mdia_s4 () (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_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.62 (define @t1 () (_ tptp.mimplies (_ tptp.mbox_s4 tptp.p))) % 0.37/0.62 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ @t1 tptp.q))) (_ tptp.mbox_s4 (_ @t1 (_ tptp.mbox_s4 tptp.q))))))) % 0.37/0.62 (define @t3 () (@var "Y" tptp.mu)) % 0.37/0.62 (define @t4 () (@var "X" tptp.mu)) % 0.37/0.62 (define @t5 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.37/0.62 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.62 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.62 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.37/0.62 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.62 (define @t11 () (_ @t10 @t5)) % 0.37/0.62 (define @t12 () (not @t11)) % 0.37/0.62 (define @t13 () (@list @t10 @t5)) % 0.37/0.62 (define @t14 () (lambda @t13 @t12)) % 0.37/0.62 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.62 (define @t16 () (_ @t15 @t5)) % 0.37/0.62 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.37/0.62 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.62 (define @t19 () (_ tptp.mnot @t15)) % 0.37/0.62 (define @t20 () (_ tptp.mnot @t10)) % 0.37/0.62 (define @t21 () (_ tptp.mor @t20)) % 0.37/0.62 (define @t22 () (@list @t10 @t15 @t18)) % 0.37/0.62 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.37/0.62 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.37/0.62 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.37/0.62 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.37/0.62 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.37/0.62 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.62 (define @t29 () (_ @t28 @t4)) % 0.37/0.62 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.37/0.62 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.62 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.62 (define @t33 () (_ @t32 @t31)) % 0.37/0.62 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.37/0.62 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.37/0.62 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.37/0.62 (define @t37 () (@list @t5)) % 0.37/0.62 (define @t38 () (lambda @t37 true)) % 0.37/0.62 (define @t39 () (@var "V" $$unsorted)) % 0.37/0.62 (define @t40 () (_ @t10 @t39)) % 0.37/0.62 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.62 (define @t42 () (@list @t39)) % 0.37/0.62 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.37/0.62 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.37/0.62 (define @t45 () (@var "S" $$unsorted)) % 0.37/0.62 (define @t46 () (_ @t41 @t45)) % 0.37/0.62 (define @t47 () (@list @t45)) % 0.37/0.62 (define @t48 () (@list @t41)) % 0.37/0.62 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.37/0.62 (define @t50 () (@var "T" $$unsorted)) % 0.37/0.62 (define @t51 () (_ @t41 @t50)) % 0.37/0.62 (define @t52 () (_ @t46 @t50)) % 0.37/0.62 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.37/0.62 (define @t54 () (@list @t50)) % 0.37/0.62 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.37/0.62 (define @t56 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t57 () (_ @t46 @t56)) % 0.37/0.62 (define @t58 () (_ @t51 @t56)) % 0.37/0.62 (define @t59 () (and @t52 @t58)) % 0.37/0.62 (define @t60 () (@list @t45 @t50 @t56)) % 0.37/0.62 (define @t61 () (forall @t60 (=> @t59 @t57))) % 0.37/0.62 (define @t62 () (lambda @t48 @t61)) % 0.37/0.62 (define @t63 () (and @t52 @t57)) % 0.37/0.62 (define @t64 () (lambda @t48 (forall @t60 (=> @t63 @t58)))) % 0.37/0.62 (define @t65 () (= @t50 @t56)) % 0.37/0.62 (define @t66 () (lambda @t48 (forall @t60 (=> @t63 @t65)))) % 0.37/0.62 (define @t67 () (@list @t56)) % 0.37/0.62 (define @t68 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t67 (=> @t57 @t65))))))) % 0.37/0.62 (define @t69 () (_ @t41 @t56)) % 0.37/0.62 (define @t70 () (_ @t69 @t50)) % 0.37/0.62 (define @t71 () (lambda @t48 (forall @t60 (=> @t52 (exists @t67 (and @t57 @t70)))))) % 0.37/0.62 (define @t72 () (lambda @t48 (forall @t60 (=> @t63 (or @t58 @t65 @t70))))) % 0.37/0.62 (define @t73 () (lambda @t48 (forall @t60 (=> @t63 (exists @t42 (and (_ @t51 @t39) (_ @t69 @t39))))))) % 0.37/0.62 (define @t74 () (forall @t37 @t11)) % 0.37/0.62 (define @t75 () (@list @t10)) % 0.37/0.62 (define @t76 () (lambda @t75 @t74)) % 0.37/0.62 (define @t77 () (lambda @t75 (forall @t37 @t12))) % 0.37/0.62 (define @t78 () (lambda @t75 (exists @t37 @t11))) % 0.37/0.62 (define @t79 () (lambda @t75 (exists @t37 @t12))) % 0.37/0.62 (define @t80 () (_ (_ tptp.rel_s4 @t5) @t39)) % 0.37/0.62 (define @t81 () (not @t80)) % 0.37/0.62 (define @t82 () (or @t81 @t40)) % 0.37/0.62 (define @t83 () (forall @t42 @t82)) % 0.37/0.62 (define @t84 () (lambda @t13 @t83)) % 0.37/0.62 (define @t85 () (lambda (@list @t10 @t18) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t20)) @t18))) % 0.37/0.62 (define @t86 () (@var "BOUND_VARIABLE_8559" $$unsorted)) % 0.37/0.62 (define @t87 () (tptp.q @t86)) % 0.37/0.62 (define @t88 () (@var "BOUND_VARIABLE_8557" $$unsorted)) % 0.37/0.62 (define @t89 () (not (tptp.rel_s4 @t88 @t86))) % 0.37/0.62 (define @t90 () (@var "BOUND_VARIABLE_8505" $$unsorted)) % 0.37/0.62 (define @t91 () (tptp.p @t90)) % 0.37/0.62 (define @t92 () (@list @t90)) % 0.37/0.62 (define @t93 () (not (forall @t92 (or (not (tptp.rel_s4 @t88 @t90)) @t91)))) % 0.37/0.62 (define @t94 () (not (tptp.rel_s4 @t5 @t88))) % 0.37/0.62 (define @t95 () (tptp.q @t39)) % 0.37/0.62 (define @t96 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 0.37/0.62 (define @t97 () (tptp.p @t96)) % 0.37/0.62 (define @t98 () (@list @t96)) % 0.37/0.62 (define @t99 () (not (forall @t98 (or (not (tptp.rel_s4 @t39 @t96)) @t97)))) % 0.37/0.62 (define @t100 () (tptp.rel_s4 @t5 @t39)) % 0.37/0.62 (define @t101 () (not @t100)) % 0.37/0.62 (define @t102 () (forall @t42 (or @t101 @t99 @t95))) % 0.37/0.62 (define @t103 () (not @t102)) % 0.37/0.62 (define @t104 () (or @t103 @t94 @t93 @t89 @t87)) % 0.37/0.62 (define @t105 () (or @t94 @t93 @t89 @t87)) % 0.37/0.62 (define @t106 () (or @t103 @t105)) % 0.37/0.62 (define @t107 () (@list @t5 @t88 @t86)) % 0.37/0.62 (define @t108 () (forall @t107 @t106)) % 0.37/0.62 (define @t109 () (@list @t88 @t86)) % 0.37/0.62 (define @t110 () (forall @t109 @t106)) % 0.37/0.62 (define @t111 () (forall @t109 @t105)) % 0.37/0.62 (define @t112 () (@var "BOUND_VARIABLE_8530" $$unsorted)) % 0.37/0.62 (define @t113 () (or @t103 @t111)) % 0.37/0.62 (define @t114 () (tptp.q @t112)) % 0.37/0.62 (define @t115 () (not (tptp.rel_s4 @t39 @t112))) % 0.37/0.62 (define @t116 () (not (forall @t92 (or (not (tptp.rel_s4 @t39 @t90)) @t91)))) % 0.37/0.62 (define @t117 () (or @t101 @t116 @t115 @t114)) % 0.37/0.62 (define @t118 () (@list @t39 @t112)) % 0.37/0.62 (define @t119 () (forall @t118 @t117)) % 0.37/0.62 (define @t120 () (or @t103 @t119)) % 0.37/0.62 (define @t121 () (not (tptp.rel_s4 @t18 @t39))) % 0.37/0.62 (define @t122 () (forall @t118 (or @t121 @t116 @t115 @t114))) % 0.37/0.62 (define @t123 () (forall @t42 (or @t121 @t99 @t95))) % 0.37/0.62 (define @t124 () (not @t123)) % 0.37/0.62 (define @t125 () (@list @t18)) % 0.37/0.62 (define @t126 () (lambda @t125 (or @t124 @t122))) % 0.37/0.62 (define @t127 () (_ @t126 @t5)) % 0.37/0.62 (define @t128 () (forall @t37 @t127)) % 0.37/0.62 (define @t129 () (_ @t10 @t5)) % 0.37/0.62 (define @t130 () (lambda @t75 (forall @t37 @t129))) % 0.37/0.62 (define @t131 () (lambda @t37 @t119)) % 0.37/0.62 (define @t132 () (_ @t131 @t18)) % 0.37/0.62 (define @t133 () (or @t124 @t132)) % 0.37/0.62 (define @t134 () (lambda @t125 @t133)) % 0.37/0.62 (define @t135 () (_ @t15 @t18)) % 0.37/0.62 (define @t136 () (@list @t15 @t18)) % 0.37/0.62 (define @t137 () (or @t115 @t114)) % 0.37/0.62 (define @t138 () (or @t101 @t116 @t137)) % 0.37/0.62 (define @t139 () (forall @t118 @t138)) % 0.37/0.62 (define @t140 () (@list @t112)) % 0.37/0.62 (define @t141 () (forall @t140 @t138)) % 0.37/0.62 (define @t142 () (forall @t140 @t137)) % 0.37/0.62 (define @t143 () (@var "BOUND_VARIABLE_8497" $$unsorted)) % 0.37/0.62 (define @t144 () (@list @t143)) % 0.37/0.62 (define @t145 () (or @t101 @t116 @t142)) % 0.37/0.62 (define @t146 () (tptp.q @t143)) % 0.37/0.62 (define @t147 () (@list @t143)) % 0.37/0.62 (define @t148 () (forall @t147 (or (not (tptp.rel_s4 @t39 @t143)) @t146))) % 0.37/0.62 (define @t149 () (or @t101 @t116 @t148)) % 0.37/0.62 (define @t150 () (or @t116 @t148)) % 0.37/0.62 (define @t151 () (forall @t42 (or @t121 @t95))) % 0.37/0.62 (define @t152 () (@list @t39)) % 0.37/0.62 (define @t153 () (tptp.p @t39)) % 0.37/0.62 (define @t154 () (forall @t42 (or @t121 @t153))) % 0.37/0.62 (define @t155 () (not @t154)) % 0.37/0.62 (define @t156 () (or @t155 @t151)) % 0.37/0.62 (define @t157 () (lambda @t125 @t156)) % 0.37/0.62 (define @t158 () (or @t101 (_ @t157 @t39))) % 0.37/0.62 (define @t159 () (forall @t42 @t158)) % 0.37/0.62 (define @t160 () (lambda @t37 @t159)) % 0.37/0.62 (define @t161 () (_ @t10 @t39)) % 0.37/0.62 (define @t162 () (lambda @t13 (forall @t42 (or @t101 @t161)))) % 0.37/0.62 (define @t163 () (lambda @t37 (forall @t42 (or @t101 @t95)))) % 0.37/0.62 (define @t164 () (_ @t163 @t18)) % 0.37/0.62 (define @t165 () (or @t155 @t164)) % 0.37/0.62 (define @t166 () (lambda @t125 @t165)) % 0.37/0.62 (define @t167 () (lambda @t136 (or @t155 @t135))) % 0.37/0.62 (define @t168 () (_ @t162 tptp.q)) % 0.37/0.62 (define @t169 () (lambda @t37 (forall @t42 (or @t101 @t153)))) % 0.37/0.62 (define @t170 () (_ @t169 @t18)) % 0.37/0.62 (define @t171 () (not @t170)) % 0.37/0.62 (define @t172 () (or @t171 @t135)) % 0.37/0.62 (define @t173 () (lambda @t136 @t172)) % 0.37/0.62 (define @t174 () (or (not (_ @t10 @t18)) @t135)) % 0.37/0.62 (define @t175 () (lambda @t22 @t174)) % 0.37/0.62 (define @t176 () (_ @t162 tptp.p)) % 0.37/0.62 (define @t177 () (lambda @t37 @t102)) % 0.37/0.62 (define @t178 () (_ @t177 @t18)) % 0.37/0.62 (define @t179 () (not @t178)) % 0.37/0.62 (define @t180 () (or @t179 @t135)) % 0.37/0.62 (define @t181 () (lambda @t136 @t180)) % 0.37/0.62 (define @t182 () (_ tptp.q @t39)) % 0.37/0.62 (define @t183 () (or @t101 @t99 @t182)) % 0.37/0.62 (define @t184 () (or @t99 @t182)) % 0.37/0.62 (define @t185 () (_ tptp.q @t18)) % 0.37/0.62 (define @t186 () (or @t155 @t185)) % 0.37/0.62 (define @t187 () (lambda @t125 @t186)) % 0.37/0.62 (define @t188 () (or @t101 (_ @t187 @t39))) % 0.37/0.62 (define @t189 () (forall @t42 @t188)) % 0.37/0.62 (define @t190 () (lambda @t37 @t189)) % 0.37/0.62 (define @t191 () (_ @t175 @t176)) % 0.37/0.62 (define @t192 () (or @t12 @t16)) % 0.37/0.62 (define @t193 () (lambda @t37 @t192)) % 0.37/0.62 (define @t194 () (@list @t15 @t5)) % 0.37/0.62 (define @t195 () (lambda @t37 @t12)) % 0.37/0.62 (define @t196 () (_ @t195 @t5)) % 0.37/0.62 (define @t197 () (or @t196 @t16)) % 0.37/0.62 (define @t198 () (lambda @t194 @t197)) % 0.37/0.62 (define @t199 () (forall @t107 @t104)) % 0.37/0.62 (define @t200 () (@quantifiers_skolemize @t199 0)) % 0.37/0.62 (define @t201 () (forall @t42 (or (not (tptp.rel_s4 @t200 @t39)) @t99 @t95))) % 0.37/0.62 (define @t202 () (@quantifiers_skolemize @t199 2)) % 0.37/0.62 (define @t203 () (tptp.q @t202)) % 0.37/0.62 (define @t204 () (@quantifiers_skolemize @t199 1)) % 0.37/0.62 (define @t205 () (tptp.rel_s4 @t204 @t202)) % 0.37/0.62 (define @t206 () (not @t205)) % 0.37/0.62 (define @t207 () (forall @t92 (or (not (tptp.rel_s4 @t204 @t90)) @t91))) % 0.37/0.62 (define @t208 () (not @t207)) % 0.37/0.62 (define @t209 () (tptp.rel_s4 @t200 @t204)) % 0.37/0.62 (define @t210 () (not @t209)) % 0.37/0.62 (define @t211 () (not @t201)) % 0.37/0.62 (define @t212 () (or @t211 @t210 @t208 @t206 @t203)) % 0.37/0.62 (define @t213 () (@list true)) % 0.37/0.62 (define @t214 () (@list @t212)) % 0.37/0.62 (define @t215 () (_ @t41 @t45 @t56)) % 0.37/0.62 (define @t216 () (_ @t41 @t50 @t56)) % 0.37/0.62 (define @t217 () (_ @t41 @t45 @t50)) % 0.37/0.62 (define @t218 () (not @t58)) % 0.37/0.62 (define @t219 () (not @t52)) % 0.37/0.62 (define @t220 () (or @t219 @t218 @t57)) % 0.37/0.62 (define @t221 () (tptp.rel_s4 @t200 @t202)) % 0.37/0.62 (define @t222 () (or @t210 @t206 @t221)) % 0.37/0.62 (define @t223 () (@list false false false)) % 0.37/0.62 (define @t224 () (forall @t98 (or (not (tptp.rel_s4 @t202 @t96)) @t97))) % 0.37/0.62 (define @t225 () (not @t224)) % 0.37/0.62 (define @t226 () (not @t221)) % 0.37/0.62 (define @t227 () (or @t226 @t225 @t203)) % 0.37/0.62 (define @t228 () (@quantifiers_skolemize @t224 0)) % 0.37/0.62 (define @t229 () (tptp.p @t228)) % 0.37/0.62 (define @t230 () (tptp.rel_s4 @t202 @t228)) % 0.37/0.62 (define @t231 () (not @t230)) % 0.37/0.62 (define @t232 () (or @t231 @t229)) % 0.37/0.62 (define @t233 () (@list @t232)) % 0.37/0.62 (define @t234 () (tptp.rel_s4 @t204 @t228)) % 0.37/0.62 (define @t235 () (or @t206 @t231 @t234)) % 0.37/0.62 (define @t236 () (not @t234)) % 0.37/0.62 (define @t237 () (or @t236 @t229)) % 0.37/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.62 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.37/0.62 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.37/0.62 (assume @p4 @t2) % 0.37/0.62 (assume @p5 true) % 0.37/0.62 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.37/0.62 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.37/0.62 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.37/0.62 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.37/0.62 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.37/0.62 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.37/0.62 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.37/0.62 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.37/0.62 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.37/0.62 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.37/0.62 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.37/0.62 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.37/0.62 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.37/0.62 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.37/0.62 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.62 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.62 (step @p22 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.37/0.62 (step @p23 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.37/0.62 (step @p24 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.37/0.62 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.37/0.62 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.37/0.62 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.37/0.62 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.37/0.62 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.37/0.62 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.37/0.62 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.37/0.62 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.37/0.62 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.37/0.62 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.37/0.62 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.37/0.62 (step @p36 (= tptp.mbox_s4 @t84) :rule refl :args (@t84)) % 0.37/0.62 (step @p37 (= tptp.mdia_s4 @t85) :rule refl :args (@t85)) % 0.37/0.62 (step @p38 :rule aci_norm :args ((= @t106 @t104))) % 0.37/0.62 (step @p39 :rule cong :premises (@p38) :args (@t108)) % 0.37/0.62 (step @p40 :rule quant-merge-prenex :args ((= (forall @t37 @t110) @t108))) % 0.37/0.62 (step @p41 :rule alpha_equiv :args (@t111 (@list @t88 @t86) (@list @t39 @t112))) % 0.37/0.62 (step @p42 :rule refl :args (@t103)) % 0.37/0.62 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t113)) % 0.37/0.62 (step @p44 :rule quant-miniscope-or :args ((= @t110 @t113))) % 0.37/0.62 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.62 (step @p46 :rule symm :premises (@p45)) % 0.37/0.62 (step @p47 :rule cong :premises (@p46) :args ((forall @t37 @t120))) % 0.37/0.62 (step @p48 :rule trans :premises (@p47 @p40)) % 0.37/0.62 (step @p49 :rule trans :premises (@p48 @p39)) % 0.37/0.62 (step @p50 :rule beta-reduce :args ((= @t127 @t120))) % 0.37/0.62 (step @p51 :rule cong :premises (@p50) :args (@t128)) % 0.37/0.62 (step @p52 :rule trans :premises (@p51 @p49)) % 0.37/0.62 (step @p53 :rule beta-reduce :args ((= (_ @t130 @t126) @t128))) % 0.37/0.62 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.62 (step @p55 :rule beta-reduce :args ((= @t132 @t122))) % 0.37/0.62 (step @p56 :rule refl :args (@t124)) % 0.37/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t133)) % 0.37/0.62 (step @p58 :rule cong :premises (@p57) :args (@t134)) % 0.37/0.62 (step @p59 :rule beta-reduce :args ((= (_ (lambda @t136 (or @t124 @t135)) @t131) @t134))) % 0.37/0.62 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.62 (step @p61 :rule aci_norm :args ((= @t138 @t117))) % 0.37/0.62 (step @p62 :rule cong :premises (@p61) :args (@t139)) % 0.37/0.62 (step @p63 :rule quant-merge-prenex :args ((= (forall @t42 @t141) @t139))) % 0.37/0.62 (step @p64 :rule alpha_equiv :args (@t142 (@list @t112) @t144)) % 0.37/0.62 (step @p65 :rule refl :args (@t116)) % 0.37/0.62 (step @p66 :rule refl :args (@t101)) % 0.37/0.62 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t145)) % 0.37/0.62 (step @p68 :rule quant-miniscope-or :args ((= @t141 @t145))) % 0.37/0.62 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.62 (step @p70 :rule symm :premises (@p69)) % 0.37/0.62 (step @p71 :rule cong :premises (@p70) :args ((forall @t42 @t149))) % 0.37/0.62 (step @p72 :rule trans :premises (@p71 @p63)) % 0.37/0.62 (step @p73 :rule trans :premises (@p72 @p62)) % 0.37/0.62 (step @p74 :rule aci_norm :args ((= (or @t101 @t150) @t149))) % 0.37/0.62 (step @p75 :rule beta-reduce :args ((= (_ (lambda @t125 (or (not (forall @t92 (or (not (tptp.rel_s4 @t18 @t90)) @t91))) (forall @t147 (or (not (tptp.rel_s4 @t18 @t143)) @t146)))) @t39) @t150))) % 0.37/0.62 (step @p76 :rule refl :args (@t39)) % 0.37/0.62 (step @p77 :rule alpha_equiv :args (@t151 @t152 @t144)) % 0.37/0.62 (step @p78 :rule alpha_equiv :args (@t154 @t152 (@list @t90))) % 0.37/0.62 (step @p79 :rule cong :premises (@p78) :args (@t155)) % 0.37/0.62 (step @p80 :rule nary_cong :premises (@p79 @p77) :args (@t156)) % 0.37/0.62 (step @p81 :rule cong :premises (@p80) :args (@t157)) % 0.37/0.62 (step @p82 :rule ho_cong :premises (@p81 @p76)) % 0.37/0.62 (step @p83 :rule trans :premises (@p82 @p75)) % 0.37/0.62 (step @p84 :rule refl :args (@t101)) % 0.37/0.62 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t158)) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p74)) % 0.37/0.62 (step @p87 :rule cong :premises (@p86) :args (@t159)) % 0.37/0.62 (step @p88 :rule trans :premises (@p87 @p73)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88) :args (@t160)) % 0.37/0.62 (step @p90 :rule beta-reduce :args ((= (_ @t162 @t157) @t160))) % 0.37/0.62 (step @p91 :rule trans :premises (@p90 @p89)) % 0.37/0.62 (step @p92 :rule beta-reduce :args ((= @t164 @t151))) % 0.37/0.62 (step @p93 :rule refl :args (@t155)) % 0.37/0.62 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t165)) % 0.37/0.62 (step @p95 :rule cong :premises (@p94) :args (@t166)) % 0.37/0.62 (step @p96 :rule beta-reduce :args ((= (_ @t167 @t163) @t166))) % 0.37/0.62 (step @p97 :rule trans :premises (@p96 @p95)) % 0.37/0.62 (step @p98 :rule beta-reduce :args ((= @t168 @t163))) % 0.37/0.62 (step @p99 :rule refl :args (@t135)) % 0.37/0.62 (step @p100 :rule beta-reduce :args ((= @t170 @t154))) % 0.37/0.62 (step @p101 :rule cong :premises (@p100) :args (@t171)) % 0.37/0.62 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t172)) % 0.37/0.62 (step @p103 :rule cong :premises (@p102) :args (@t173)) % 0.37/0.62 (step @p104 :rule beta-reduce :args ((= (_ @t175 @t169) @t173))) % 0.37/0.62 (step @p105 :rule trans :premises (@p104 @p103)) % 0.37/0.62 (step @p106 :rule beta-reduce :args ((= @t176 @t169))) % 0.37/0.62 (step @p107 :rule refl :args (@t175)) % 0.37/0.62 (step @p108 :rule ho_cong :premises (@p107 @p106)) % 0.37/0.62 (step @p109 :rule trans :premises (@p108 @p105)) % 0.37/0.62 (step @p110 :rule ho_cong :premises (@p109 @p98)) % 0.37/0.62 (step @p111 :rule trans :premises (@p110 @p97)) % 0.37/0.62 (step @p112 :rule refl :args (@t162)) % 0.37/0.62 (step @p113 :rule ho_cong :premises (@p112 @p111)) % 0.37/0.62 (step @p114 :rule trans :premises (@p113 @p91)) % 0.37/0.62 (step @p115 :rule beta-reduce :args ((= @t178 @t123))) % 0.37/0.62 (step @p116 :rule cong :premises (@p115) :args (@t179)) % 0.37/0.62 (step @p117 :rule nary_cong :premises (@p116 @p99) :args (@t180)) % 0.37/0.62 (step @p118 :rule 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eq_resolve :premises (@p234 @p236)) % 0.37/0.62 (step @p238 :rule refl :args (@t216)) % 0.37/0.62 (step @p239 :rule refl :args (@t58)) % 0.37/0.62 (step @p240 :rule cong :premises (@p239 @p238) :args ((= @t58 @t216))) % 0.37/0.62 (step @p241 :rule symm :premises (@p240)) % 0.37/0.62 (step @p242 :rule eq_resolve :premises (@p239 @p241)) % 0.37/0.62 (step @p243 :rule cong :premises (@p242) :args (@t218)) % 0.37/0.62 (step @p244 :rule refl :args (@t217)) % 0.37/0.62 (step @p245 :rule refl :args (@t52)) % 0.37/0.62 (step @p246 :rule cong :premises (@p245 @p244) :args ((= @t52 @t217))) % 0.37/0.62 (step @p247 :rule symm :premises (@p246)) % 0.37/0.62 (step @p248 :rule eq_resolve :premises (@p245 @p247)) % 0.37/0.62 (step @p249 :rule cong :premises (@p248) :args (@t219)) % 0.37/0.62 (step @p250 :rule nary_cong :premises (@p249 @p243 @p237) :args (@t220)) % 0.37/0.62 (step @p251 :rule cong :premises (@p250) :args ((forall @t60 @t220))) % 0.37/0.62 (step @p252 :rule aci_norm :args ((= (or (or 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(step @p267 :rule nary_cong :premises (@p224 @p266) :args ((or @t212 (not @t206)))) % 0.37/0.62 (step @p268 :rule cnf_or_neg :args (@t212 3)) % 0.37/0.62 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 0.37/0.62 (step @p270 :rule reordering :premises (@p269) :args ((or @t205 @t212))) % 0.37/0.62 (step @p271 :rule chain_m_resolution :premises (@p270 @p222) :args (@t205 @t213 @t214)) % 0.37/0.62 (step @p272 :rule bool-double-not-elim :args (@t209)) % 0.37/0.62 (step @p273 :rule nary_cong :premises (@p224 @p272) :args ((or @t212 (not @t210)))) % 0.37/0.62 (step @p274 :rule cnf_or_neg :args (@t212 1)) % 0.37/0.62 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.37/0.62 (step @p276 :rule reordering :premises (@p275) :args ((or @t209 @t212))) % 0.37/0.62 (step @p277 :rule chain_m_resolution :premises (@p276 @p222) :args (@t209 @t213 @t214)) % 0.37/0.62 (step @p278 :rule cnf_or_pos :args (@t222)) % 0.37/0.62 (step @p279 :rule reordering :premises (@p278) :args ((or @t210 @t206 @t221 (not @t222)))) % 0.37/0.62 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p271 @p265) :args (@t221 @t223 (@list @t209 @t205 @t222))) % 0.37/0.62 (step @p281 :rule cnf_or_neg :args (@t212 4)) % 0.37/0.62 (step @p282 :rule chain_m_resolution :premises (@p281 @p222) :args ((not @t203) @t213 @t214)) % 0.37/0.62 (step @p283 :rule cnf_or_pos :args (@t227)) % 0.37/0.62 (step @p284 :rule reordering :premises (@p283) :args ((or @t203 @t226 @t225 (not @t227)))) % 0.37/0.62 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p280 @p230) :args (@t225 (@list true false false) (@list @t203 @t221 @t227))) % 0.37/0.62 (step @p286 :rule skolemize :premises (@p285)) % 0.37/0.62 (step @p287 :rule cnf_or_neg :args (@t232 1)) % 0.37/0.62 (step @p288 :rule chain_m_resolution :premises (@p287 @p286) :args ((not @t229) @t213 @t233)) % 0.37/0.62 (step @p289 :rule bool-double-not-elim :args (@t207)) % 0.37/0.62 (step @p290 :rule nary_cong :premises (@p224 @p289) :args ((or @t212 (not @t208)))) % 0.37/0.62 (step @p291 :rule cnf_or_neg :args (@t212 2)) % 0.37/0.62 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.37/0.62 (step @p293 :rule reordering :premises (@p292) :args ((or @t207 @t212))) % 0.37/0.62 (step @p294 :rule chain_m_resolution :premises (@p293 @p222) :args (@t207 @t213 @t214)) % 0.37/0.62 (step @p295 :rule instantiate :premises (@p294) :args ((@list @t228))) % 0.37/0.63 (step @p296 :rule instantiate :premises (@p264) :args ((@list @t204 @t202 @t228))) % 0.37/0.63 (step @p297 :rule bool-double-not-elim :args (@t230)) % 0.37/0.63 (step @p298 :rule refl :args (@t232)) % 0.37/0.63 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t232 (not @t231)))) % 0.37/0.63 (step @p300 :rule cnf_or_neg :args (@t232 0)) % 0.37/0.63 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.37/0.63 (step @p302 :rule reordering :premises (@p301) :args ((or @t230 @t232))) % 0.37/0.63 (step @p303 :rule chain_m_resolution :premises (@p302 @p286) :args (@t230 @t213 @t233)) % 0.37/0.63 (step @p304 :rule cnf_or_pos :args (@t235)) % 0.37/0.63 (step @p305 :rule reordering :premises (@p304) :args ((or @t206 @t231 @t234 (not @t235)))) % 0.37/0.63 (step @p306 :rule chain_m_resolution :premises (@p305 @p271 @p303 @p296) :args (@t234 @t223 (@list @t205 @t230 @t235))) % 0.37/0.63 (step @p307 :rule cnf_or_pos :args (@t237)) % 0.37/0.63 (step @p308 :rule reordering :premises (@p307) :args ((or @t229 @t236 (not @t237)))) % 0.37/0.63 (step @p309 false :rule chain_m_resolution :premises (@p308 @p306 @p295 @p288) :args (false (@list false false true) (@list @t234 @t237 @t229))) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------