%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO450^5 : 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 : n027.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 09:12:41 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO450^5 : 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 % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:08:06 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----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.r (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.p (-> $$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" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.62 (define @t1 () (_ tptp.mimplies tptp.q)) % 0.37/0.62 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ (_ tptp.mimplies tptp.p) (_ tptp.mdia_s4 (_ @t1 tptp.r))))) (_ tptp.mdia_s4 (_ @t1 (_ (_ tptp.mimplies (_ tptp.mbox_s4 tptp.p)) (_ tptp.mdia_s4 tptp.r)))))))) % 0.37/0.62 (define @t3 () (@var "Y" tptp.mu)) % 0.37/0.62 (define @t4 () (@var "X" tptp.mu)) % 0.37/0.62 (define @t5 () (@var "W" $$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" $$unsorted)) % 0.37/0.62 (define @t46 () (_ @t41 @t45)) % 0.37/0.62 (define @t47 () (_ @t46 @t45)) % 0.37/0.62 (define @t48 () (@list @t45)) % 0.37/0.62 (define @t49 () (forall @t48 @t47)) % 0.37/0.62 (define @t50 () (@list @t41)) % 0.37/0.62 (define @t51 () (lambda @t50 @t49)) % 0.37/0.62 (define @t52 () (@var "T" $$unsorted)) % 0.37/0.62 (define @t53 () (_ @t41 @t52)) % 0.37/0.62 (define @t54 () (_ @t46 @t52)) % 0.37/0.62 (define @t55 () (lambda @t50 (forall (@list @t45 @t52) (=> @t54 (_ @t53 @t45))))) % 0.37/0.62 (define @t56 () (@list @t52)) % 0.37/0.62 (define @t57 () (lambda @t50 (forall @t48 (exists @t56 @t54)))) % 0.37/0.62 (define @t58 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t59 () (_ @t46 @t58)) % 0.37/0.62 (define @t60 () (_ @t53 @t58)) % 0.37/0.62 (define @t61 () (@list @t45 @t52 @t58)) % 0.37/0.62 (define @t62 () (lambda @t50 (forall @t61 (=> (and @t54 @t60) @t59)))) % 0.37/0.62 (define @t63 () (and @t54 @t59)) % 0.37/0.62 (define @t64 () (lambda @t50 (forall @t61 (=> @t63 @t60)))) % 0.37/0.62 (define @t65 () (= @t52 @t58)) % 0.37/0.62 (define @t66 () (lambda @t50 (forall @t61 (=> @t63 @t65)))) % 0.37/0.62 (define @t67 () (@list @t58)) % 0.37/0.62 (define @t68 () (lambda @t50 (forall @t48 (exists @t56 (and @t54 (forall @t67 (=> @t59 @t65))))))) % 0.37/0.62 (define @t69 () (_ @t41 @t58)) % 0.37/0.62 (define @t70 () (_ @t69 @t52)) % 0.37/0.62 (define @t71 () (lambda @t50 (forall @t61 (=> @t54 (exists @t67 (and @t59 @t70)))))) % 0.37/0.62 (define @t72 () (lambda @t50 (forall @t61 (=> @t63 (or @t60 @t65 @t70))))) % 0.37/0.62 (define @t73 () (lambda @t50 (forall @t61 (=> @t63 (exists @t42 (and (_ @t53 @t39) (_ @t69 @t39))))))) % 0.37/0.62 (define @t74 () (forall @t37 @t11)) % 0.37/0.62 (define @t75 () (@list @t10)) % 0.37/0.62 (define @t76 () (lambda @t75 @t74)) % 0.37/0.62 (define @t77 () (lambda @t75 (forall @t37 @t12))) % 0.37/0.62 (define @t78 () (lambda @t75 (exists @t37 @t11))) % 0.37/0.62 (define @t79 () (lambda @t75 (exists @t37 @t12))) % 0.37/0.62 (define @t80 () (_ (_ tptp.rel_s4 @t5) @t39)) % 0.37/0.62 (define @t81 () (not @t80)) % 0.37/0.62 (define @t82 () (or @t81 @t40)) % 0.37/0.62 (define @t83 () (forall @t42 @t82)) % 0.37/0.62 (define @t84 () (lambda @t13 @t83)) % 0.37/0.62 (define @t85 () (@list @t10 @t18)) % 0.37/0.62 (define @t86 () (lambda @t85 (_ (_ tptp.mnot (_ tptp.mbox_s4 @t20)) @t18))) % 0.37/0.62 (define @t87 () (_ @t41 @t45 @t45)) % 0.37/0.62 (define @t88 () (@var "BOUND_VARIABLE_8611" $$unsorted)) % 0.37/0.62 (define @t89 () (or (not (tptp.rel_s4 @t39 @t88)) (not (tptp.r @t88)))) % 0.37/0.62 (define @t90 () (@var "BOUND_VARIABLE_8605" $$unsorted)) % 0.37/0.62 (define @t91 () (or (not (tptp.rel_s4 @t39 @t90)) (tptp.p @t90))) % 0.37/0.62 (define @t92 () (tptp.q @t39)) % 0.37/0.62 (define @t93 () (and @t92 @t91 @t89)) % 0.37/0.62 (define @t94 () (tptp.rel_s4 @t5 @t39)) % 0.37/0.62 (define @t95 () (not @t94)) % 0.37/0.62 (define @t96 () (@list @t39 @t90 @t88)) % 0.37/0.62 (define @t97 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 0.37/0.62 (define @t98 () (and (tptp.q @t97) (not (tptp.r @t97)))) % 0.37/0.62 (define @t99 () (@list @t97)) % 0.37/0.62 (define @t100 () (not (forall @t99 (or (not (tptp.rel_s4 @t39 @t97)) @t98)))) % 0.37/0.62 (define @t101 () (tptp.p @t39)) % 0.37/0.62 (define @t102 () (not @t101)) % 0.37/0.62 (define @t103 () (forall @t42 (or @t95 @t102 @t100))) % 0.37/0.62 (define @t104 () (or (not @t103) (not (forall @t96 (or @t95 @t93))))) % 0.37/0.62 (define @t105 () (@quantifiers_skolemize (forall @t37 @t104) 0)) % 0.37/0.62 (define @t106 () (@list @t105)) % 0.37/0.62 (define @t107 () (not (tptp.rel_s4 @t18 @t39))) % 0.37/0.62 (define @t108 () (or @t107 @t93)) % 0.37/0.62 (define @t109 () (forall @t96 @t108)) % 0.37/0.62 (define @t110 () (not @t109)) % 0.37/0.62 (define @t111 () (forall @t42 (or @t107 @t102 @t100))) % 0.37/0.62 (define @t112 () (not @t111)) % 0.37/0.62 (define @t113 () (@list @t18)) % 0.37/0.62 (define @t114 () (lambda @t113 (or @t112 @t110))) % 0.37/0.62 (define @t115 () (_ @t114 @t5)) % 0.37/0.62 (define @t116 () (forall @t37 @t115)) % 0.37/0.62 (define @t117 () (_ @t10 @t5)) % 0.37/0.62 (define @t118 () (lambda @t75 (forall @t37 @t117))) % 0.37/0.62 (define @t119 () (lambda @t113 @t110)) % 0.37/0.62 (define @t120 () (_ @t119 @t18)) % 0.37/0.62 (define @t121 () (or @t112 @t120)) % 0.37/0.62 (define @t122 () (lambda @t113 @t121)) % 0.37/0.62 (define @t123 () (_ @t15 @t18)) % 0.37/0.62 (define @t124 () (@list @t15 @t18)) % 0.37/0.62 (define @t125 () (@list @t90 @t88)) % 0.37/0.62 (define @t126 () (forall @t125 @t108)) % 0.37/0.62 (define @t127 () (forall (@list @t88) @t89)) % 0.37/0.62 (define @t128 () (@var "BOUND_VARIABLE_8563" $$unsorted)) % 0.37/0.62 (define @t129 () (@list @t128)) % 0.37/0.62 (define @t130 () (forall @t125 @t89)) % 0.37/0.62 (define @t131 () (forall (@list @t90) @t91)) % 0.37/0.62 (define @t132 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 0.37/0.62 (define @t133 () (@list @t132)) % 0.37/0.62 (define @t134 () (forall @t125 @t91)) % 0.37/0.62 (define @t135 () (forall @t125 @t92)) % 0.37/0.62 (define @t136 () (and @t135 @t134 @t130)) % 0.37/0.62 (define @t137 () (forall @t125 @t93)) % 0.37/0.62 (define @t138 () (or @t107 @t137)) % 0.37/0.62 (define @t139 () (not (tptp.r @t128))) % 0.37/0.62 (define @t140 () (@list @t128)) % 0.37/0.62 (define @t141 () (forall @t140 (or (not (tptp.rel_s4 @t39 @t128)) @t139))) % 0.37/0.62 (define @t142 () (tptp.p @t132)) % 0.37/0.62 (define @t143 () (@list @t132)) % 0.37/0.62 (define @t144 () (forall @t143 (or (not (tptp.rel_s4 @t39 @t132)) @t142))) % 0.37/0.62 (define @t145 () (_ tptp.q @t39)) % 0.37/0.62 (define @t146 () (and @t145 @t144 @t141)) % 0.37/0.62 (define @t147 () (or @t107 @t146)) % 0.37/0.62 (define @t148 () (not @t141)) % 0.37/0.62 (define @t149 () (not @t148)) % 0.37/0.62 (define @t150 () (not @t144)) % 0.37/0.62 (define @t151 () (not @t150)) % 0.37/0.62 (define @t152 () (not @t145)) % 0.37/0.62 (define @t153 () (not @t152)) % 0.37/0.62 (define @t154 () (and @t153 @t151 @t149)) % 0.37/0.62 (define @t155 () (or @t152 @t150 @t148)) % 0.37/0.62 (define @t156 () (or @t107 (not @t155))) % 0.37/0.62 (define @t157 () (not (_ tptp.q @t18))) % 0.37/0.62 (define @t158 () (tptp.r @t39)) % 0.37/0.62 (define @t159 () (not @t158)) % 0.37/0.62 (define @t160 () (forall @t42 (or @t107 @t159))) % 0.37/0.62 (define @t161 () (@list @t39)) % 0.37/0.62 (define @t162 () (not @t160)) % 0.37/0.62 (define @t163 () (forall @t42 (or @t107 @t101))) % 0.37/0.62 (define @t164 () (not @t163)) % 0.37/0.62 (define @t165 () (or @t157 @t164 @t162)) % 0.37/0.62 (define @t166 () (lambda @t113 @t165)) % 0.37/0.62 (define @t167 () (not (_ @t166 @t39))) % 0.37/0.62 (define @t168 () (or @t107 @t167)) % 0.37/0.63 (define @t169 () (forall @t42 @t168)) % 0.37/0.63 (define @t170 () (not @t169)) % 0.37/0.63 (define @t171 () (lambda @t113 @t170)) % 0.37/0.63 (define @t172 () (_ @t10 @t39)) % 0.37/0.63 (define @t173 () (not @t172)) % 0.37/0.63 (define @t174 () (not (forall @t42 (or @t107 @t173)))) % 0.37/0.63 (define @t175 () (lambda @t85 @t174)) % 0.37/0.63 (define @t176 () (or @t164 @t162)) % 0.37/0.63 (define @t177 () (lambda @t113 @t176)) % 0.37/0.63 (define @t178 () (_ @t177 @t18)) % 0.37/0.63 (define @t179 () (or @t157 @t178)) % 0.37/0.63 (define @t180 () (lambda @t113 @t179)) % 0.37/0.63 (define @t181 () (lambda @t124 (or @t157 @t123))) % 0.37/0.63 (define @t182 () (lambda @t113 @t162)) % 0.37/0.63 (define @t183 () (_ @t182 @t18)) % 0.37/0.63 (define @t184 () (or @t164 @t183)) % 0.37/0.63 (define @t185 () (lambda @t113 @t184)) % 0.37/0.63 (define @t186 () (_ @t175 tptp.r)) % 0.37/0.63 (define @t187 () (lambda @t37 (forall @t42 (or @t95 @t101)))) % 0.37/0.63 (define @t188 () (_ @t187 @t18)) % 0.37/0.63 (define @t189 () (not @t188)) % 0.37/0.63 (define @t190 () (or @t189 @t123)) % 0.37/0.63 (define @t191 () (lambda @t124 @t190)) % 0.37/0.63 (define @t192 () (or (not (_ @t10 @t18)) @t123)) % 0.37/0.63 (define @t193 () (lambda @t22 @t192)) % 0.37/0.63 (define @t194 () (lambda @t13 (forall @t42 (or @t95 @t172)))) % 0.37/0.63 (define @t195 () (_ @t194 tptp.p)) % 0.37/0.63 (define @t196 () (_ @t193 tptp.q)) % 0.37/0.63 (define @t197 () (lambda @t37 @t103)) % 0.37/0.63 (define @t198 () (_ @t197 @t18)) % 0.37/0.63 (define @t199 () (not @t198)) % 0.37/0.63 (define @t200 () (or @t199 @t123)) % 0.37/0.63 (define @t201 () (lambda @t124 @t200)) % 0.37/0.63 (define @t202 () (_ tptp.p @t39)) % 0.37/0.63 (define @t203 () (not @t202)) % 0.37/0.63 (define @t204 () (or @t95 @t203 @t100)) % 0.37/0.63 (define @t205 () (or @t203 @t100)) % 0.37/0.63 (define @t206 () (not (_ tptp.p @t18))) % 0.37/0.63 (define @t207 () (forall @t42 (or @t107 (and @t92 @t159)))) % 0.37/0.63 (define @t208 () (not @t207)) % 0.37/0.63 (define @t209 () (or @t206 @t208)) % 0.37/0.63 (define @t210 () (lambda @t113 @t209)) % 0.37/0.63 (define @t211 () (or @t95 (_ @t210 @t39))) % 0.37/0.63 (define @t212 () (forall @t42 @t211)) % 0.37/0.63 (define @t213 () (lambda @t37 @t212)) % 0.37/0.63 (define @t214 () (lambda @t113 @t208)) % 0.37/0.63 (define @t215 () (_ @t214 @t18)) % 0.37/0.63 (define @t216 () (or @t206 @t215)) % 0.37/0.63 (define @t217 () (lambda @t113 @t216)) % 0.37/0.63 (define @t218 () (lambda @t124 (or @t206 @t123))) % 0.37/0.63 (define @t219 () (_ tptp.r @t39)) % 0.37/0.63 (define @t220 () (not @t219)) % 0.37/0.63 (define @t221 () (and @t145 @t220)) % 0.37/0.63 (define @t222 () (or @t107 @t221)) % 0.37/0.63 (define @t223 () (or @t152 @t219)) % 0.37/0.63 (define @t224 () (or @t107 (not @t223))) % 0.37/0.63 (define @t225 () (lambda @t113 (or @t157 (_ tptp.r @t18)))) % 0.37/0.63 (define @t226 () (_ @t225 @t39)) % 0.37/0.63 (define @t227 () (not @t226)) % 0.37/0.63 (define @t228 () (or @t107 @t227)) % 0.37/0.63 (define @t229 () (forall @t42 @t228)) % 0.37/0.63 (define @t230 () (not @t229)) % 0.37/0.63 (define @t231 () (lambda @t113 @t230)) % 0.37/0.63 (define @t232 () (_ @t193 tptp.p)) % 0.37/0.63 (define @t233 () (forall @t42 (or @t95 @t173))) % 0.37/0.63 (define @t234 () (lambda @t37 @t233)) % 0.37/0.63 (define @t235 () (_ @t234 @t5)) % 0.37/0.63 (define @t236 () (not @t235)) % 0.37/0.63 (define @t237 () (lambda @t37 @t236)) % 0.37/0.63 (define @t238 () (not @t40)) % 0.37/0.63 (define @t239 () (or @t95 @t238)) % 0.37/0.63 (define @t240 () (lambda @t37 @t12)) % 0.37/0.63 (define @t241 () (_ @t240 @t39)) % 0.37/0.63 (define @t242 () (or @t95 @t241)) % 0.37/0.63 (define @t243 () (forall @t42 @t242)) % 0.37/0.63 (define @t244 () (lambda @t37 @t243)) % 0.37/0.63 (define @t245 () (or @t12 @t16)) % 0.37/0.63 (define @t246 () (lambda @t37 @t245)) % 0.37/0.63 (define @t247 () (@list @t15 @t5)) % 0.37/0.63 (define @t248 () (_ @t240 @t5)) % 0.37/0.63 (define @t249 () (or @t248 @t16)) % 0.37/0.63 (define @t250 () (lambda @t247 @t249)) % 0.37/0.63 (define @t251 () (not (tptp.rel_s4 @t105 @t39))) % 0.37/0.63 (define @t252 () (forall @t96 (or @t251 @t93))) % 0.37/0.63 (define @t253 () (not @t252)) % 0.37/0.63 (define @t254 () (forall @t42 (or @t251 @t102 @t100))) % 0.37/0.63 (define @t255 () (not @t254)) % 0.37/0.63 (define @t256 () (or @t255 @t253)) % 0.37/0.63 (define @t257 () (@list true)) % 0.37/0.63 (define @t258 () (@list @t256)) % 0.37/0.63 (define @t259 () (forall @t99 (or (not (tptp.rel_s4 @t105 @t97)) @t98))) % 0.37/0.63 (define @t260 () (@quantifiers_skolemize @t259 0)) % 0.37/0.63 (define @t261 () (@const 0 $$unsorted)) % 0.37/0.63 (define @t262 () (not (tptp.r @t261))) % 0.37/0.63 (define @t263 () (not (tptp.rel_s4 @t105 @t261))) % 0.37/0.63 (define @t264 () (tptp.p @t105)) % 0.37/0.63 (define @t265 () (tptp.rel_s4 @t105 @t105)) % 0.37/0.63 (define @t266 () (not @t265)) % 0.37/0.63 (define @t267 () (or @t266 @t264)) % 0.37/0.63 (define @t268 () (tptp.q @t105)) % 0.37/0.63 (define @t269 () (and @t268 @t267 (or @t263 @t262))) % 0.37/0.63 (define @t270 () (or @t266 @t269)) % 0.37/0.63 (define @t271 () (@list false false)) % 0.37/0.63 (define @t272 () (@list false)) % 0.37/0.63 (define @t273 () (not @t259)) % 0.37/0.63 (define @t274 () (not @t264)) % 0.37/0.63 (define @t275 () (or @t266 @t274 @t273)) % 0.37/0.63 (define @t276 () (tptp.rel_s4 @t105 @t260)) % 0.37/0.63 (define @t277 () (tptp.r @t260)) % 0.37/0.63 (define @t278 () (not @t277)) % 0.37/0.63 (define @t279 () (tptp.q @t260)) % 0.37/0.63 (define @t280 () (and @t279 @t278)) % 0.37/0.63 (define @t281 () (not @t276)) % 0.37/0.63 (define @t282 () (or @t281 @t280)) % 0.37/0.63 (define @t283 () (@list @t282)) % 0.37/0.63 (define @t284 () (not (tptp.rel_s4 @t260 @t261))) % 0.37/0.63 (define @t285 () (tptp.p @t261)) % 0.37/0.63 (define @t286 () (and @t279 (or @t284 @t285) (or @t284 @t262))) % 0.37/0.63 (define @t287 () (or @t281 @t286)) % 0.37/0.63 (define @t288 () (not @t279)) % 0.37/0.63 (define @t289 () (or @t281 @t278)) % 0.37/0.63 (define @t290 () (not @t289)) % 0.37/0.63 (define @t291 () (and @t268 (or @t263 @t285) @t289)) % 0.37/0.63 (define @t292 () (not @t291)) % 0.37/0.63 (define @t293 () (or @t266 @t291)) % 0.37/0.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.63 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.37/0.63 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.37/0.63 (assume @p4 @t2) % 0.37/0.63 (assume @p5 true) % 0.37/0.63 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.37/0.63 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.37/0.63 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.37/0.63 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.37/0.63 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.37/0.63 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.37/0.63 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.37/0.63 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.37/0.63 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.37/0.63 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.37/0.63 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.37/0.63 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.37/0.63 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.37/0.63 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.37/0.63 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.63 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.63 (step @p22 (= tptp.mreflexive @t51) :rule refl :args (@t51)) % 0.37/0.63 (step @p23 (= tptp.msymmetric @t55) :rule refl :args (@t55)) % 0.37/0.63 (step @p24 (= tptp.mserial @t57) :rule refl :args (@t57)) % 0.37/0.63 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.37/0.63 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.34/0.63 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.34/0.63 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.34/0.63 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.34/0.63 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.34/0.63 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.34/0.63 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.34/0.63 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.34/0.63 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.34/0.63 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.34/0.63 (step @p36 (= tptp.mbox_s4 @t84) :rule refl :args (@t84)) % 0.34/0.63 (step @p37 (= tptp.mdia_s4 @t86) :rule refl :args (@t86)) % 0.34/0.63 (step @p38 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t48 @t87)) tptp.rel_s4) (forall @t48 (tptp.rel_s4 @t45 @t45))))) % 0.34/0.63 (step @p39 :rule refl :args (tptp.rel_s4)) % 0.34/0.63 (step @p40 :rule refl :args (@t87)) % 0.34/0.63 (step @p41 :rule refl :args (@t47)) % 0.34/0.63 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t47 @t87))) % 0.34/0.63 (step @p43 :rule symm :premises (@p42)) % 0.34/0.63 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.34/0.63 (step @p45 :rule cong :premises (@p44) :args (@t49)) % 0.34/0.63 (step @p46 :rule cong :premises (@p45) :args (@t51)) % 0.34/0.63 (step @p47 :rule trans :premises (@p22 @p46)) % 0.34/0.63 (step @p48 :rule ho_cong :premises (@p47 @p39)) % 0.34/0.63 (step @p49 :rule trans :premises (@p48 @p38)) % 0.34/0.63 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 0.34/0.63 (step @p51 :rule instantiate :premises (@p50) :args (@t106)) % 0.34/0.63 (step @p52 :rule beta-reduce :args ((= @t115 @t104))) % 0.34/0.63 (step @p53 :rule cong :premises (@p52) :args (@t116)) % 0.34/0.63 (step @p54 :rule beta-reduce :args ((= (_ @t118 @t114) @t116))) % 0.34/0.63 (step @p55 :rule trans :premises (@p54 @p53)) % 0.34/0.63 (step @p56 :rule beta-reduce :args ((= @t120 @t110))) % 0.34/0.63 (step @p57 :rule refl :args (@t112)) % 0.34/0.63 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t121)) % 0.34/0.63 (step @p59 :rule cong :premises (@p58) :args (@t122)) % 0.34/0.63 (step @p60 :rule beta-reduce :args ((= (_ (lambda @t124 (or @t112 @t123)) @t119) @t122))) % 0.34/0.63 (step @p61 :rule trans :premises (@p60 @p59)) % 0.34/0.63 (step @p62 :rule quant-merge-prenex :args ((= (forall @t42 @t126) @t109))) % 0.34/0.63 (step @p63 :rule alpha_equiv :args (@t127 (@list @t88) @t129)) % 0.34/0.63 (step @p64 :rule quant-unused-vars :args ((= @t130 @t127))) % 0.34/0.63 (step @p65 :rule trans :premises (@p64 @p63)) % 0.34/0.63 (step @p66 :rule alpha_equiv :args (@t131 (@list @t90) @t133)) % 0.34/0.63 (step @p67 :rule quant-unused-vars :args ((= @t134 @t131))) % 0.34/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.34/0.63 (step @p69 :rule quant-unused-vars :args ((= @t135 @t92))) % 0.34/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68 @p65) :args (@t136)) % 0.34/0.63 (step @p71 :rule quant-miniscope-and :args ((= @t137 @t136))) % 0.34/0.63 (step @p72 :rule trans :premises (@p71 @p70)) % 0.34/0.63 (step @p73 :rule refl :args (@t107)) % 0.34/0.63 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t138)) % 0.34/0.63 (step @p75 :rule quant-miniscope-or :args ((= @t126 @t138))) % 0.34/0.63 (step @p76 :rule trans :premises (@p75 @p74)) % 0.34/0.63 (step @p77 :rule symm :premises (@p76)) % 0.34/0.63 (step @p78 :rule cong :premises (@p77) :args ((forall @t42 (or @t107 (and @t92 @t144 @t141))))) % 0.34/0.63 (step @p79 :rule trans :premises (@p78 @p62)) % 0.34/0.63 (step @p80 :rule refl :args (@t141)) % 0.34/0.63 (step @p81 :rule refl :args (@t144)) % 0.34/0.63 (step @p82 :rule refl :args (@t92)) % 0.34/0.63 (step @p83 :rule refl :args (@t145)) % 0.34/0.63 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t145 @t92))) % 0.34/0.63 (step @p85 :rule symm :premises (@p84)) % 0.34/0.63 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.34/0.63 (step @p87 :rule nary_cong :premises (@p86 @p81 @p80) :args (@t146)) % 0.34/0.63 (step @p88 :rule nary_cong :premises (@p73 @p87) :args (@t147)) % 0.34/0.63 (step @p89 :rule cong :premises (@p88) :args ((forall @t42 @t147))) % 0.34/0.63 (step @p90 :rule trans :premises (@p89 @p79)) % 0.34/0.63 (step @p91 :rule bool-double-not-elim :args (@t141)) % 0.34/0.63 (step @p92 :rule bool-double-not-elim :args (@t144)) % 0.34/0.63 (step @p93 :rule bool-double-not-elim :args (@t145)) % 0.34/0.63 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t154)) % 0.34/0.63 (step @p95 :rule aci_norm :args ((= (and @t153 (and @t151 @t149)) @t154))) % 0.34/0.63 (step @p96 :rule trans :premises (@p95 @p94)) % 0.34/0.63 (step @p97 :rule bool-or-de-morgan :args (@t150 @t148 false)) % 0.34/0.63 (step @p98 :rule refl :args (@t153)) % 0.34/0.63 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((and @t153 (not (or @t150 @t148))))) % 0.34/0.63 (step @p100 :rule bool-or-de-morgan :args (@t152 @t150 (or @t148))) % 0.34/0.63 (step @p101 :rule trans :premises (@p100 @p99)) % 0.34/0.63 (step @p102 :rule trans :premises (@p101 @p96)) % 0.34/0.63 (step @p103 :rule nary_cong :premises (@p73 @p102) :args (@t156)) % 0.34/0.63 (step @p104 :rule cong :premises (@p103) :args ((forall @t42 @t156))) % 0.34/0.63 (step @p105 :rule trans :premises (@p104 @p90)) % 0.34/0.63 (step @p106 :rule beta-reduce :args ((= (_ (lambda @t113 (or @t157 (not (forall @t143 (or (not (tptp.rel_s4 @t18 @t132)) @t142))) (not (forall @t140 (or (not (tptp.rel_s4 @t18 @t128)) @t139))))) @t39) @t155))) % 0.34/0.63 (step @p107 :rule refl :args (@t39)) % 0.34/0.63 (step @p108 :rule alpha_equiv :args (@t160 @t161 @t129)) % 0.34/0.63 (step @p109 :rule cong :premises (@p108) :args (@t162)) % 0.34/0.63 (step @p110 :rule alpha_equiv :args (@t163 @t161 @t133)) % 0.34/0.63 (step @p111 :rule cong :premises (@p110) :args (@t164)) % 0.34/0.63 (step @p112 :rule refl :args (@t157)) % 0.34/0.63 (step @p113 :rule nary_cong :premises (@p112 @p111 @p109) :args (@t165)) % 0.34/0.63 (step @p114 :rule cong :premises (@p113) :args (@t166)) % 0.34/0.63 (step @p115 :rule ho_cong :premises (@p114 @p107)) % 0.34/0.63 (step @p116 :rule trans :premises (@p115 @p106)) % 0.34/0.63 (step @p117 :rule cong :premises (@p116) :args (@t167)) % 0.34/0.63 (step @p118 :rule refl :args (@t107)) % 0.34/0.63 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t168)) % 0.34/0.63 (step @p120 :rule cong :premises (@p119) :args (@t169)) % 0.34/0.63 (step @p121 :rule trans :premises (@p120 @p105)) % 0.34/0.63 (step @p122 :rule cong :premises (@p121) :args (@t170)) % 0.34/0.63 (step @p123 :rule cong :premises (@p122) :args (@t171)) % 0.34/0.63 (step @p124 :rule beta-reduce :args ((= (_ @t175 @t166) @t171))) % 0.34/0.63 (step @p125 :rule trans :premises (@p124 @p123)) % 0.34/0.63 (step @p126 :rule aci_norm :args ((= (or @t157 @t176) @t165))) % 0.34/0.63 (step @p127 :rule beta-reduce :args ((= @t178 @t176))) % 0.34/0.63 (step @p128 :rule refl :args (@t157)) % 0.34/0.63 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t179)) % 0.34/0.63 (step @p130 :rule trans :premises (@p129 @p126)) % 0.34/0.63 (step @p131 :rule cong :premises (@p130) :args (@t180)) % 0.34/0.63 (step @p132 :rule beta-reduce :args ((= (_ @t181 @t177) @t180))) % 0.34/0.63 (step @p133 :rule trans :premises (@p132 @p131)) % 0.34/0.63 (step @p134 :rule beta-reduce :args ((= @t183 @t162))) % 0.34/0.63 (step @p135 :rule refl :args (@t164)) % 0.34/0.63 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t184)) % 0.34/0.63 (step @p137 :rule cong :premises (@p136) :args (@t185)) % 0.34/0.63 (step @p138 :rule beta-reduce :args ((= (_ (lambda @t124 (or @t164 @t123)) @t182) @t185))) % 0.34/0.63 (step @p139 :rule trans :premises (@p138 @p137)) % 0.34/0.63 (step @p140 :rule beta-reduce :args ((= @t186 @t182))) % 0.34/0.63 (step @p141 :rule refl :args (@t123)) % 0.34/0.63 (step @p142 :rule beta-reduce :args ((= @t188 @t163))) % 0.34/0.63 (step @p143 :rule cong :premises (@p142) :args (@t189)) % 0.34/0.63 (step @p144 :rule nary_cong :premises (@p143 @p141) :args (@t190)) % 0.34/0.63 (step @p145 :rule cong :premises (@p144) :args (@t191)) % 0.34/0.63 (step @p146 :rule beta-reduce :args ((= (_ @t193 @t187) @t191))) % 0.34/0.63 (step @p147 :rule trans :premises (@p146 @p145)) % 0.34/0.63 (step @p148 :rule beta-reduce :args ((= @t195 @t187))) % 0.34/0.63 (step @p149 :rule refl :args (@t193)) % 0.34/0.63 (step @p150 :rule ho_cong :premises (@p149 @p148)) % 0.34/0.63 (step @p151 :rule trans :premises (@p150 @p147)) % 0.34/0.63 (step @p152 :rule ho_cong :premises (@p151 @p140)) % 0.34/0.63 (step @p153 :rule trans :premises (@p152 @p139)) % 0.34/0.63 (step @p154 :rule beta-reduce :args ((= @t196 @t181))) % 0.34/0.63 (step @p155 :rule ho_cong :premises (@p154 @p153)) % 0.34/0.63 (step @p156 :rule trans :premises (@p155 @p133)) % 0.34/0.63 (step @p157 :rule refl :args (@t175)) % 0.34/0.63 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 0.34/0.63 (step @p159 :rule trans :premises (@p158 @p125)) % 0.34/0.63 (step @p160 :rule beta-reduce :args ((= @t198 @t111))) % 0.34/0.63 (step @p161 :rule cong :premises (@p160) :args (@t199)) % 0.34/0.63 (step @p162 :rule nary_cong :premises (@p161 @p141) :args (@t200)) % 0.34/0.63 (step @p163 :rule cong :premises (@p162) :args (@t201)) % 0.34/0.63 (step @p164 :rule beta-reduce :args ((= (_ @t193 @t197) @t201))) % 0.34/0.63 (step @p165 :rule trans :premises (@p164 @p163)) % 0.34/0.63 (step @p166 :rule refl :args (@t100)) % 0.34/0.63 (step @p167 :rule refl :args (@t101)) % 0.34/0.63 (step @p168 :rule refl :args (@t202)) % 0.34/0.63 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t202 @t101))) % 0.34/0.63 (step @p170 :rule symm :premises (@p169)) % 0.34/0.63 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 0.34/0.63 (step @p172 :rule cong :premises (@p171) :args (@t203)) % 0.34/0.63 (step @p173 :rule refl :args (@t95)) % 0.34/0.63 (step @p174 :rule nary_cong :premises (@p173 @p172 @p166) :args (@t204)) % 0.34/0.63 (step @p175 :rule cong :premises (@p174) :args ((forall @t42 @t204))) % 0.34/0.63 (step @p176 :rule aci_norm :args ((= (or @t95 @t205) @t204))) % 0.34/0.63 (step @p177 :rule beta-reduce :args ((= (_ (lambda @t113 (or @t206 (not (forall @t99 (or (not (tptp.rel_s4 @t18 @t97)) @t98))))) @t39) @t205))) % 0.34/0.63 (step @p178 :rule alpha_equiv :args (@t207 @t161 (@list @t97))) % 0.34/0.63 (step @p179 :rule cong :premises (@p178) :args (@t208)) % 0.34/0.63 (step @p180 :rule refl :args (@t206)) % 0.34/0.63 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t209)) % 0.34/0.63 (step @p182 :rule cong :premises (@p181) :args (@t210)) % 0.34/0.63 (step @p183 :rule ho_cong :premises (@p182 @p107)) % 0.34/0.63 (step @p184 :rule trans :premises (@p183 @p177)) % 0.34/0.63 (step @p185 :rule refl :args (@t95)) % 0.34/0.63 (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t211)) % 0.34/0.63 (step @p187 :rule trans :premises (@p186 @p176)) % 0.34/0.63 (step @p188 :rule cong :premises (@p187) :args (@t212)) % 0.34/0.63 (step @p189 :rule trans :premises (@p188 @p175)) % 0.34/0.63 (step @p190 :rule cong :premises (@p189) :args (@t213)) % 0.34/0.63 (step @p191 :rule beta-reduce :args ((= (_ @t194 @t210) @t213))) % 0.34/0.63 (step @p192 :rule trans :premises (@p191 @p190)) % 0.34/0.63 (step @p193 :rule beta-reduce :args ((= @t215 @t208))) % 0.34/0.63 (step @p194 :rule refl :args (@t206)) % 0.34/0.63 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t216)) % 0.34/0.63 (step @p196 :rule cong :premises (@p195) :args (@t217)) % 0.34/0.63 (step @p197 :rule beta-reduce :args ((= (_ @t218 @t214) @t217))) % 0.34/0.63 (step @p198 :rule trans :premises (@p197 @p196)) % 0.34/0.63 (step @p199 :rule refl :args (@t158)) % 0.34/0.63 (step @p200 :rule refl :args (@t219)) % 0.34/0.63 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t219 @t158))) % 0.34/0.63 (step @p202 :rule symm :premises (@p201)) % 0.34/0.63 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 0.34/0.63 (step @p204 :rule cong :premises (@p203) :args (@t220)) % 0.34/0.63 (step @p205 :rule nary_cong :premises (@p86 @p204) :args (@t221)) % 0.34/0.63 (step @p206 :rule nary_cong :premises (@p73 @p205) :args (@t222)) % 0.34/0.63 (step @p207 :rule cong :premises (@p206) :args ((forall @t42 @t222))) % 0.34/0.63 (step @p208 :rule refl :args (@t220)) % 0.34/0.63 (step @p209 :rule nary_cong :premises (@p93 @p208) :args ((and @t153 @t220))) % 0.34/0.63 (step @p210 :rule bool-or-de-morgan :args (@t152 @t219 false)) % 0.34/0.63 (step @p211 :rule trans :premises (@p210 @p209)) % 0.34/0.63 (step @p212 :rule nary_cong :premises (@p73 @p211) :args (@t224)) % 0.34/0.63 (step @p213 :rule cong :premises (@p212) :args ((forall @t42 @t224))) % 0.34/0.63 (step @p214 :rule trans :premises (@p213 @p207)) % 0.34/0.63 (step @p215 :rule beta-reduce :args ((= @t226 @t223))) % 0.34/0.63 (step @p216 :rule cong :premises (@p215) :args (@t227)) % 0.34/0.63 (step @p217 :rule nary_cong :premises (@p118 @p216) :args (@t228)) % 0.34/0.63 (step @p218 :rule cong :premises (@p217) :args (@t229)) % 0.34/0.63 (step @p219 :rule trans :premises (@p218 @p214)) % 0.34/0.63 (step @p220 :rule cong :premises (@p219) :args (@t230)) % 0.34/0.63 (step @p221 :rule cong :premises (@p220) :args (@t231)) % 0.34/0.63 (step @p222 :rule beta-reduce :args ((= (_ @t175 @t225) @t231))) % 0.34/0.63 (step @p223 :rule trans :premises (@p222 @p221)) % 0.34/0.63 (step @p224 :rule beta-reduce :args ((= (_ @t181 tptp.r) @t225))) % 0.34/0.63 (step @p225 :rule refl :args (tptp.r)) % 0.34/0.63 (step @p226 :rule ho_cong :premises (@p154 @p225)) % 0.34/0.63 (step @p227 :rule trans :premises (@p226 @p224)) % 0.34/0.63 (step @p228 :rule ho_cong :premises (@p157 @p227)) % 0.34/0.63 (step @p229 :rule trans :premises (@p228 @p223)) % 0.34/0.63 (step @p230 :rule beta-reduce :args ((= @t232 @t218))) % 0.34/0.63 (step @p231 :rule ho_cong :premises (@p230 @p229)) % 0.34/0.63 (step @p232 :rule trans :premises (@p231 @p198)) % 0.34/0.63 (step @p233 :rule refl :args (@t194)) % 0.34/0.63 (step @p234 :rule ho_cong :premises (@p233 @p232)) % 0.34/0.63 (step @p235 :rule trans :premises (@p234 @p192)) % 0.34/0.63 (step @p236 :rule ho_cong :premises (@p149 @p235)) % 0.34/0.63 (step @p237 :rule trans :premises (@p236 @p165)) % 0.34/0.63 (step @p238 :rule ho_cong :premises (@p237 @p159)) % 0.34/0.63 (step @p239 :rule trans :premises (@p238 @p61)) % 0.34/0.63 (step @p240 :rule refl :args (@t118)) % 0.34/0.63 (step @p241 :rule ho_cong :premises (@p240 @p239)) % 0.34/0.63 (step @p242 :rule trans :premises (@p241 @p55)) % 0.34/0.63 (step @p243 :rule cong :premises (@p242) :args ((not (_ @t118 (_ (_ @t193 (_ @t194 (_ @t232 (_ @t175 (_ @t196 tptp.r))))) (_ @t175 (_ @t196 (_ (_ @t193 @t195) @t186)))))))) % 0.34/0.63 (step @p244 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t233)) @t18) @t174))) % 0.34/0.63 (step @p245 :rule refl :args (@t18)) % 0.34/0.63 (step @p246 :rule beta-reduce :args ((= @t235 @t233))) % 0.34/0.63 (step @p247 :rule cong :premises (@p246) :args (@t236)) % 0.34/0.63 (step @p248 :rule cong :premises (@p247) :args (@t237)) % 0.34/0.63 (step @p249 :rule beta-reduce :args ((= (_ @t14 @t234) @t237))) % 0.34/0.63 (step @p250 :rule trans :premises (@p249 @p248)) % 0.34/0.63 (step @p251 :rule refl :args (@t172)) % 0.34/0.63 (step @p252 :rule refl :args (@t40)) % 0.34/0.63 (step @p253 :rule cong :premises (@p252 @p251) :args ((= @t40 @t172))) % 0.34/0.63 (step @p254 :rule symm :premises (@p253)) % 0.34/0.63 (step @p255 :rule eq_resolve :premises (@p252 @p254)) % 0.34/0.63 (step @p256 :rule cong :premises (@p255) :args (@t238)) % 0.34/0.63 (step @p257 :rule nary_cong :premises (@p173 @p256) :args (@t239)) % 0.34/0.63 (step @p258 :rule cong :premises (@p257) :args ((forall @t42 @t239))) % 0.34/0.63 (step @p259 :rule beta-reduce :args ((= @t241 @t238))) % 0.34/0.63 (step @p260 :rule nary_cong :premises (@p185 @p259) :args (@t242)) % 0.34/0.63 (step @p261 :rule cong :premises (@p260) :args (@t243)) % 0.34/0.63 (step @p262 :rule trans :premises (@p261 @p258)) % 0.34/0.63 (step @p263 :rule cong :premises (@p262) :args (@t244)) % 0.34/0.63 (step @p264 :rule beta-reduce :args ((= (_ @t194 @t240) @t244))) % 0.34/0.63 (step @p265 :rule trans :premises (@p264 @p263)) % 0.34/0.63 (step @p266 :rule beta-reduce :args ((= (_ @t14 @t10) @t240))) % 0.34/0.63 (step @p267 :rule ho_cong :premises (@p233 @p266)) % 0.34/0.63 (step @p268 :rule trans :premises (@p267 @p265)) % 0.34/0.63 (step @p269 :rule refl :args (@t14)) % 0.34/0.63 (step @p270 :rule ho_cong :premises (@p269 @p268)) % 0.34/0.63 (step @p271 :rule trans :premises (@p270 @p250)) % 0.34/0.63 (step @p272 :rule ho_cong :premises (@p271 @p245)) % 0.34/0.63 (step @p273 :rule trans :premises (@p272 @p244)) % 0.34/0.63 (step @p274 :rule refl :args (@t10)) % 0.34/0.63 (step @p275 :rule ho_cong :premises (@p8 @p274)) % 0.34/0.63 (step @p276 :rule refl :args (@t94)) % 0.34/0.63 (step @p277 :rule refl :args (@t80)) % 0.34/0.63 (step @p278 :rule cong :premises (@p277 @p276) :args ((= @t80 @t94))) % 0.34/0.63 (step @p279 :rule symm :premises (@p278)) % 0.34/0.63 (step @p280 :rule eq_resolve :premises (@p277 @p279)) % 0.34/0.63 (step @p281 :rule cong :premises (@p280) :args (@t81)) % 0.34/0.63 (step @p282 :rule nary_cong :premises (@p281 @p255) :args (@t82)) % 0.34/0.63 (step @p283 :rule cong :premises (@p282) :args (@t83)) % 0.34/0.63 (step @p284 :rule cong :premises (@p283) :args (@t84)) % 0.34/0.63 (step @p285 :rule trans :premises (@p36 @p284)) % 0.34/0.63 (step @p286 :rule ho_cong :premises (@p285 @p275)) % 0.34/0.63 (step @p287 :rule ho_cong :premises (@p8 @p286)) % 0.34/0.63 (step @p288 :rule ho_cong :premises (@p287 @p245)) % 0.34/0.63 (step @p289 :rule trans :premises (@p288 @p273)) % 0.34/0.63 (step @p290 :rule cong :premises (@p289) :args (@t86)) % 0.34/0.63 (step @p291 :rule trans :premises (@p37 @p290)) % 0.34/0.63 (step @p292 :rule ho_cong :premises (@p291 @p225)) % 0.34/0.63 (step @p293 :rule refl :args (tptp.p)) % 0.34/0.63 (step @p294 :rule ho_cong :premises (@p285 @p293)) % 0.34/0.63 (step @p295 :rule beta-reduce :args ((= (_ @t246 @t18) @t192))) % 0.34/0.63 (step @p296 :rule beta-reduce :args ((= (_ (lambda @t247 @t245) @t15) @t246))) % 0.34/0.63 (step @p297 :rule refl :args (@t15)) % 0.34/0.63 (step @p298 :rule refl :args (@t16)) % 0.34/0.63 (step @p299 :rule beta-reduce :args ((= @t248 @t12))) % 0.34/0.63 (step @p300 :rule nary_cong :premises (@p299 @p298) :args (@t249)) % 0.34/0.63 (step @p301 :rule cong :premises (@p300) :args (@t250)) % 0.34/0.63 (step @p302 :rule beta-reduce :args ((= (_ @t17 @t240) @t250))) % 0.34/0.63 (step @p303 :rule trans :premises (@p302 @p301)) % 0.34/0.63 (step @p304 :rule refl :args (@t17)) % 0.34/0.63 (step @p305 :rule ho_cong :premises (@p304 @p266)) % 0.34/0.63 (step @p306 :rule trans :premises (@p305 @p303)) % 0.34/0.63 (step @p307 :rule ho_cong :premises (@p306 @p297)) % 0.34/0.63 (step @p308 :rule trans :premises (@p307 @p296)) % 0.34/0.63 (step @p309 :rule ho_cong :premises (@p308 @p245)) % 0.34/0.63 (step @p310 :rule trans :premises (@p309 @p295)) % 0.34/0.63 (step @p311 :rule ho_cong :premises (@p9 @p275)) % 0.34/0.63 (step @p312 :rule ho_cong :premises (@p311 @p297)) % 0.34/0.63 (step @p313 :rule ho_cong :premises (@p312 @p245)) % 0.34/0.63 (step @p314 :rule trans :premises (@p313 @p310)) % 0.34/0.63 (step @p315 :rule cong :premises (@p314) :args (@t24)) % 0.34/0.63 (step @p316 :rule trans :premises (@p11 @p315)) % 0.34/0.63 (step @p317 :rule ho_cong :premises (@p316 @p294)) % 0.34/0.63 (step @p318 :rule ho_cong :premises (@p317 @p292)) % 0.34/0.63 (step @p319 :rule refl :args (tptp.q)) % 0.34/0.63 (step @p320 :rule ho_cong :premises (@p316 @p319)) % 0.34/0.63 (step @p321 :rule ho_cong :premises (@p320 @p318)) % 0.34/0.63 (step @p322 :rule ho_cong :premises (@p291 @p321)) % 0.34/0.63 (step @p323 :rule ho_cong :premises (@p320 @p225)) % 0.34/0.63 (step @p324 :rule ho_cong :premises (@p291 @p323)) % 0.34/0.63 (step @p325 :rule ho_cong :premises (@p316 @p293)) % 0.34/0.63 (step @p326 :rule ho_cong :premises (@p325 @p324)) % 0.34/0.63 (step @p327 :rule ho_cong :premises (@p285 @p326)) % 0.34/0.63 (step @p328 :rule ho_cong :premises (@p316 @p327)) % 0.34/0.63 (step @p329 :rule ho_cong :premises (@p328 @p322)) % 0.34/0.63 (step @p330 :rule refl :args (@t117)) % 0.34/0.63 (step @p331 :rule refl :args (@t11)) % 0.34/0.63 (step @p332 :rule cong :premises (@p331 @p330) :args ((= @t11 @t117))) % 0.34/0.63 (step @p333 :rule symm :premises (@p332)) % 0.34/0.63 (step @p334 :rule eq_resolve :premises (@p331 @p333)) % 0.34/0.63 (step @p335 :rule cong :premises (@p334) :args (@t74)) % 0.34/0.63 (step @p336 :rule cong :premises (@p335) :args (@t76)) % 0.34/0.63 (step @p337 :rule trans :premises (@p32 @p336)) % 0.34/0.63 (step @p338 :rule ho_cong :premises (@p337 @p329)) % 0.34/0.63 (step @p339 :rule cong :premises (@p338) :args (@t2)) % 0.34/0.63 (step @p340 :rule trans :premises (@p339 @p243)) % 0.34/0.63 (step @p341 :rule eq_resolve :premises (@p4 @p340)) % 0.34/0.63 (step @p342 :rule skolemize :premises (@p341)) % 0.34/0.63 (step @p343 :rule bool-double-not-elim :args (@t252)) % 0.34/0.63 (step @p344 :rule refl :args (@t256)) % 0.34/0.63 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t256 (not @t253)))) % 0.34/0.63 (step @p346 :rule cnf_or_neg :args (@t256 1)) % 0.34/0.63 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.34/0.63 (step @p348 :rule reordering :premises (@p347) :args ((or @t252 @t256))) % 0.34/0.63 (step @p349 :rule chain_m_resolution :premises (@p348 @p342) :args (@t252 @t257 @t258)) % 0.34/0.63 (step @p350 :rule instantiate :premises (@p349) :args ((@list @t105 @t261 @t260))) % 0.34/0.63 (step @p351 :rule instantiate :premises (@p349) :args ((@list @t260 @t261 @t261))) % 0.34/0.63 (step @p352 :rule bool-double-not-elim :args (@t254)) % 0.34/0.63 (step @p353 :rule nary_cong :premises (@p344 @p352) :args ((or @t256 (not @t255)))) % 0.34/0.63 (step @p354 :rule cnf_or_neg :args (@t256 0)) % 0.34/0.63 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 0.34/0.63 (step @p356 :rule reordering :premises (@p355) :args ((or @t254 @t256))) % 0.34/0.63 (step @p357 :rule chain_m_resolution :premises (@p356 @p342) :args (@t254 @t257 @t258)) % 0.34/0.63 (step @p358 :rule instantiate :premises (@p357) :args (@t106)) % 0.34/0.63 (step @p359 :rule instantiate :premises (@p349) :args ((@list @t105 @t105 @t261))) % 0.34/0.63 (step @p360 :rule cnf_or_pos :args (@t270)) % 0.34/0.63 (step @p361 :rule reordering :premises (@p360) :args ((or @t266 @t269 (not @t270)))) % 0.34/0.63 (step @p362 :rule chain_m_resolution :premises (@p361 @p51 @p359) :args (@t269 @t271 (@list @t265 @t270))) % 0.34/0.63 (step @p363 :rule cnf_and_pos :args (@t269 1)) % 0.34/0.63 (step @p364 :rule reordering :premises (@p363) :args ((or @t267 (not @t269)))) % 0.34/0.63 (step @p365 :rule chain_m_resolution :premises (@p364 @p362) :args (@t267 @t272 (@list @t269))) % 0.34/0.63 (step @p366 :rule cnf_or_pos :args (@t267)) % 0.34/0.63 (step @p367 :rule reordering :premises (@p366) :args ((or @t266 @t264 (not @t267)))) % 0.34/0.63 (step @p368 :rule chain_m_resolution :premises (@p367 @p51 @p365) :args (@t264 @t271 (@list @t265 @t267))) % 0.34/0.63 (step @p369 :rule cnf_or_pos :args (@t275)) % 0.34/0.63 (step @p370 :rule reordering :premises (@p369) :args ((or @t266 @t274 @t273 (not @t275)))) % 0.34/0.63 (step @p371 :rule chain_m_resolution :premises (@p370 @p51 @p368 @p358) :args (@t273 (@list false false false) (@list @t265 @t264 @t275))) % 0.34/0.63 (step @p372 :rule skolemize :premises (@p371)) % 0.34/0.63 (step @p373 :rule bool-double-not-elim :args (@t276)) % 0.34/0.63 (step @p374 :rule refl :args (@t282)) % 0.34/0.63 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t282 (not @t281)))) % 0.34/0.63 (step @p376 :rule cnf_or_neg :args (@t282 0)) % 0.34/0.63 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 0.34/0.63 (step @p378 :rule reordering :premises (@p377) :args ((or @t276 @t282))) % 0.34/0.63 (step @p379 :rule chain_m_resolution :premises (@p378 @p372) :args (@t276 @t257 @t283)) % 0.34/0.63 (step @p380 :rule cnf_or_pos :args (@t287)) % 0.34/0.63 (step @p381 :rule reordering :premises (@p380) :args ((or @t281 @t286 (not @t287)))) % 0.34/0.63 (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p351) :args (@t286 @t271 (@list @t276 @t287))) % 0.34/0.63 (step @p383 :rule cnf_and_pos :args (@t286 0)) % 0.34/0.63 (step @p384 :rule reordering :premises (@p383) :args ((or @t279 (not @t286)))) % 0.34/0.63 (step @p385 :rule chain_m_resolution :premises (@p384 @p382) :args (@t279 @t272 (@list @t286))) % 0.34/0.63 (step @p386 :rule cnf_or_neg :args (@t282 1)) % 0.34/0.63 (step @p387 :rule chain_m_resolution :premises (@p386 @p372) :args ((not @t280) @t257 @t283)) % 0.34/0.63 (step @p388 :rule bool-double-not-elim :args (@t277)) % 0.34/0.63 (step @p389 :rule refl :args (@t288)) % 0.34/0.63 (step @p390 :rule refl :args (@t280)) % 0.34/0.63 (step @p391 :rule nary_cong :premises (@p390 @p389 @p388) :args ((or @t280 @t288 (not @t278)))) % 0.34/0.63 (step @p392 :rule cnf_and_neg :args (@t280)) % 0.34/0.63 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 0.34/0.63 (step @p394 :rule reordering :premises (@p393) :args ((or @t277 @t280 @t288))) % 0.34/0.63 (step @p395 :rule chain_m_resolution :premises (@p394 @p387 @p385) :args (@t277 (@list true false) (@list @t280 @t279))) % 0.34/0.63 (step @p396 :rule cnf_or_pos :args (@t289)) % 0.34/0.63 (step @p397 :rule reordering :premises (@p396) :args ((or @t281 @t278 @t290))) % 0.34/0.63 (step @p398 :rule chain_m_resolution :premises (@p397 @p379 @p395) :args (@t290 @t271 (@list @t276 @t277))) % 0.34/0.63 (step @p399 :rule cnf_and_pos :args (@t291 2)) % 0.34/0.63 (step @p400 :rule reordering :premises (@p399) :args ((or @t289 @t292))) % 0.34/0.63 (step @p401 :rule chain_m_resolution :premises (@p400 @p398) :args (@t292 @t257 (@list @t289))) % 0.34/0.63 (step @p402 :rule cnf_or_pos :args (@t293)) % 0.34/0.63 (step @p403 :rule reordering :premises (@p402) :args ((or @t266 @t291 (not @t293)))) % 0.34/0.63 (step @p404 false :rule chain_m_resolution :premises (@p403 @p401 @p350 @p51) :args (false (@list true false false) (@list @t291 @t293 @t265))) % 0.34/0.63 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------