%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO441^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 09:12:39 AM UTC 2026 % Result : Theorem 150.78s 151.10s % Output : Proof 150.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO441^1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:07:51 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 150.78/151.10 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.78/151.10 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.78/151.10 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.78/151.10 --- Run --ho-elim --full-saturate-quant at 18s... % 150.78/151.10 % SZS status Theorem % 150.78/151.10 % SZS output start Proof % 150.78/151.10 ( % 150.78/151.10 (declare-sort $$unsorted 0) % 150.78/151.10 (declare-sort tptp.mu 0) % 150.78/151.10 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 150.78/151.10 (declare-const tptp.p (-> $$unsorted Bool)) % 150.78/151.10 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 150.78/151.10 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 150.78/151.10 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.78/151.10 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.78/151.10 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 150.78/151.10 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 150.78/151.10 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.78/151.10 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.78/151.10 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.78/151.10 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 150.78/151.10 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.78/151.10 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.78/151.10 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.78/151.10 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.78/151.10 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.78/151.10 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 150.78/151.10 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 150.78/151.10 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.78/151.10 (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)))))))) % 150.78/151.10 (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)))))))) % 150.78/151.10 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 150.78/151.10 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 150.78/151.10 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 150.78/151.10 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 150.78/151.10 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 150.78/151.10 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 150.78/151.10 (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))))))))))))) % 150.78/151.10 (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)))))) % 150.78/151.10 (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))))))) % 150.78/151.10 (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)))))) % 150.78/151.10 (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))))))) % 150.78/151.10 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 150.78/151.10 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 150.78/151.10 (define @t1 () (_ tptp.mbox_s5 tptp.p)) % 150.78/151.10 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ tptp.mdia_s5 (_ tptp.mdia_s5 (_ tptp.mdia_s5 @t1)))) @t1)))) % 150.78/151.10 (define @t3 () (@var "Y" tptp.mu)) % 150.78/151.10 (define @t4 () (@var "X" tptp.mu)) % 150.78/151.10 (define @t5 () (@var "W" $$unsorted)) % 150.78/151.10 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 150.78/151.10 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 150.78/151.10 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 150.78/151.10 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 150.78/151.10 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 150.78/151.10 (define @t11 () (_ @t10 @t5)) % 150.78/151.10 (define @t12 () (not @t11)) % 150.78/151.10 (define @t13 () (@list @t10 @t5)) % 150.78/151.10 (define @t14 () (lambda @t13 @t12)) % 150.78/151.10 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 150.78/151.10 (define @t16 () (_ @t15 @t5)) % 150.78/151.10 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 150.78/151.10 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 150.78/151.10 (define @t19 () (_ tptp.mnot @t15)) % 150.78/151.10 (define @t20 () (_ tptp.mnot @t10)) % 150.78/151.10 (define @t21 () (_ tptp.mor @t20)) % 150.78/151.10 (define @t22 () (@list @t10 @t15 @t18)) % 150.78/151.10 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 150.78/151.10 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 150.78/151.10 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 150.78/151.10 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 150.78/151.10 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 150.78/151.10 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.78/151.10 (define @t29 () (_ @t28 @t4)) % 150.78/151.10 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 150.78/151.10 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 150.78/151.10 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.78/151.10 (define @t33 () (_ @t32 @t31)) % 150.78/151.10 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 150.78/151.10 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 150.78/151.10 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 150.78/151.10 (define @t37 () (@list @t5)) % 150.78/151.10 (define @t38 () (lambda @t37 true)) % 150.78/151.10 (define @t39 () (@var "V" $$unsorted)) % 150.78/151.10 (define @t40 () (_ @t10 @t39)) % 150.78/151.10 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.78/151.10 (define @t42 () (@list @t39)) % 150.78/151.10 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 150.78/151.10 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 150.78/151.10 (define @t45 () (@var "S" $$unsorted)) % 150.78/151.10 (define @t46 () (_ @t41 @t45)) % 150.78/151.10 (define @t47 () (_ @t46 @t45)) % 150.78/151.10 (define @t48 () (@list @t45)) % 150.78/151.10 (define @t49 () (forall @t48 @t47)) % 150.78/151.10 (define @t50 () (@list @t41)) % 150.78/151.10 (define @t51 () (lambda @t50 @t49)) % 150.78/151.10 (define @t52 () (@var "T" $$unsorted)) % 150.78/151.10 (define @t53 () (_ @t41 @t52)) % 150.78/151.10 (define @t54 () (_ @t53 @t45)) % 150.78/151.10 (define @t55 () (_ @t46 @t52)) % 150.78/151.10 (define @t56 () (@list @t45 @t52)) % 150.78/151.10 (define @t57 () (forall @t56 (=> @t55 @t54))) % 150.78/151.10 (define @t58 () (lambda @t50 @t57)) % 150.78/151.10 (define @t59 () (@list @t52)) % 150.78/151.10 (define @t60 () (lambda @t50 (forall @t48 (exists @t59 @t55)))) % 150.78/151.10 (define @t61 () (@var "U" $$unsorted)) % 150.78/151.10 (define @t62 () (_ @t46 @t61)) % 150.78/151.10 (define @t63 () (_ @t53 @t61)) % 150.78/151.10 (define @t64 () (and @t55 @t63)) % 150.78/151.10 (define @t65 () (@list @t45 @t52 @t61)) % 150.78/151.10 (define @t66 () (forall @t65 (=> @t64 @t62))) % 150.78/151.10 (define @t67 () (lambda @t50 @t66)) % 150.78/151.10 (define @t68 () (and @t55 @t62)) % 150.78/151.10 (define @t69 () (lambda @t50 (forall @t65 (=> @t68 @t63)))) % 150.78/151.10 (define @t70 () (= @t52 @t61)) % 150.78/151.10 (define @t71 () (lambda @t50 (forall @t65 (=> @t68 @t70)))) % 150.78/151.10 (define @t72 () (@list @t61)) % 150.78/151.10 (define @t73 () (lambda @t50 (forall @t48 (exists @t59 (and @t55 (forall @t72 (=> @t62 @t70))))))) % 150.78/151.10 (define @t74 () (_ @t41 @t61)) % 150.78/151.10 (define @t75 () (_ @t74 @t52)) % 150.78/151.10 (define @t76 () (lambda @t50 (forall @t65 (=> @t55 (exists @t72 (and @t62 @t75)))))) % 150.78/151.10 (define @t77 () (lambda @t50 (forall @t65 (=> @t68 (or @t63 @t70 @t75))))) % 150.78/151.10 (define @t78 () (lambda @t50 (forall @t65 (=> @t68 (exists @t42 (and (_ @t53 @t39) (_ @t74 @t39))))))) % 150.78/151.10 (define @t79 () (forall @t37 @t11)) % 150.78/151.10 (define @t80 () (@list @t10)) % 150.78/151.10 (define @t81 () (lambda @t80 @t79)) % 150.78/151.10 (define @t82 () (lambda @t80 (forall @t37 @t12))) % 150.78/151.10 (define @t83 () (lambda @t80 (exists @t37 @t11))) % 150.78/151.10 (define @t84 () (lambda @t80 (exists @t37 @t12))) % 150.78/151.10 (define @t85 () (_ (_ tptp.rel_s5 @t5) @t39)) % 150.78/151.10 (define @t86 () (not @t85)) % 150.78/151.10 (define @t87 () (or @t86 @t40)) % 150.78/151.10 (define @t88 () (forall @t42 @t87)) % 150.78/151.10 (define @t89 () (lambda @t13 @t88)) % 150.78/151.10 (define @t90 () (@list @t10 @t18)) % 150.78/151.10 (define @t91 () (lambda @t90 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t20)) @t18))) % 150.78/151.10 (define @t92 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.78/151.10 (define @t93 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.78/151.10 (define @t94 () (_ @t93 @t92 @t45)) % 150.78/151.10 (define @t95 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.78/151.10 (define @t96 () (forall @t48 (tptp.rel_s5 @t45 @t45))) % 150.78/151.10 (define @t97 () (_ @t41 @t45 @t45)) % 150.78/151.10 (define @t98 () (@var "BOUND_VARIABLE_8433" $$unsorted)) % 150.78/151.10 (define @t99 () (@const 3 (@ho-elim-sort (-> $$unsorted Bool)))) % 150.78/151.10 (define @t100 () (_ @t95 @t99 @t98)) % 150.78/151.10 (define @t101 () (@var "BOUND_VARIABLE_8528" $$unsorted)) % 150.78/151.10 (define @t102 () (@list @t98)) % 150.78/151.10 (define @t103 () (not (forall @t102 (or (not (_ @t95 (_ @t93 @t92 @t101) @t98)) @t100)))) % 150.78/151.10 (define @t104 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 150.78/151.10 (define @t105 () (not (_ @t95 (_ @t93 @t92 @t104) @t101))) % 150.78/151.10 (define @t106 () (not (_ @t95 (_ @t93 @t92 @t39) @t104))) % 150.78/151.10 (define @t107 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 150.78/151.10 (define @t108 () (not (_ @t95 (_ @t93 @t92 @t107) @t39))) % 150.78/151.10 (define @t109 () (@list @t39 @t104 @t101)) % 150.78/151.10 (define @t110 () (_ @t95 @t99 @t39)) % 150.78/151.10 (define @t111 () (@list @t107)) % 150.78/151.10 (define @t112 () (forall @t111 (or (not (forall @t42 (or @t108 @t110))) (not (forall @t109 (or @t108 @t106 @t105 @t103)))))) % 150.78/151.10 (define @t113 () (@quantifiers_skolemize @t112 0)) % 150.78/151.10 (define @t114 () (@var "BOUND_VARIABLE_8645" $$unsorted)) % 150.78/151.10 (define @t115 () (@var "BOUND_VARIABLE_8602" $$unsorted)) % 150.78/151.10 (define @t116 () (_ @t93 @t92 @t115)) % 150.78/151.10 (define @t117 () (@var "BOUND_VARIABLE_8631" $$unsorted)) % 150.78/151.10 (define @t118 () (@var "BOUND_VARIABLE_8629" $$unsorted)) % 150.78/151.10 (define @t119 () (@var "BOUND_VARIABLE_8627" $$unsorted)) % 150.78/151.10 (define @t120 () (@list @t115 @t119 @t118 @t117 @t114)) % 150.78/151.10 (define @t121 () (forall @t120 (or (not (_ @t95 @t116 @t119)) (not (_ @t95 (_ @t93 @t92 @t119) @t118)) (not (_ @t95 (_ @t93 @t92 @t118) @t117)) (not (forall @t102 (or (not (_ @t95 (_ @t93 @t92 @t117) @t98)) @t100))) (not (_ @t95 @t116 @t114)) (_ @t95 @t99 @t114)))) % 150.78/151.10 (define @t122 () (@quantifiers_skolemize @t121 1)) % 150.78/151.10 (define @t123 () (@quantifiers_skolemize @t121 0)) % 150.78/151.10 (define @t124 () (_ @t93 @t92 @t123)) % 150.78/151.10 (define @t125 () (_ @t95 @t124 @t122)) % 150.78/151.10 (define @t126 () (@quantifiers_skolemize @t121 4)) % 150.78/151.10 (define @t127 () (_ @t95 @t99 @t126)) % 150.78/151.10 (define @t128 () (_ @t95 @t124 @t126)) % 150.78/151.10 (define @t129 () (not @t128)) % 150.78/151.10 (define @t130 () (@quantifiers_skolemize @t121 3)) % 150.78/151.10 (define @t131 () (_ @t93 @t92 @t130)) % 150.78/151.10 (define @t132 () (forall @t102 (or (not (_ @t95 @t131 @t98)) @t100))) % 150.78/151.10 (define @t133 () (not @t132)) % 150.78/151.10 (define @t134 () (@quantifiers_skolemize @t121 2)) % 150.78/151.10 (define @t135 () (_ @t95 (_ @t93 @t92 @t134) @t130)) % 150.78/151.10 (define @t136 () (not @t135)) % 150.78/151.10 (define @t137 () (_ @t93 @t92 @t122)) % 150.78/151.10 (define @t138 () (_ @t95 @t137 @t134)) % 150.78/151.10 (define @t139 () (not @t138)) % 150.78/151.10 (define @t140 () (not @t125)) % 150.78/151.10 (define @t141 () (or @t140 @t139 @t136 @t133 @t129 @t127)) % 150.78/151.10 (define @t142 () (_ @t93 @t92 @t52)) % 150.78/151.10 (define @t143 () (not (_ @t95 @t94 @t52))) % 150.78/151.10 (define @t144 () (not (tptp.rel_s5 @t45 @t52))) % 150.78/151.10 (define @t145 () (forall @t56 (or @t144 (tptp.rel_s5 @t52 @t45)))) % 150.78/151.10 (define @t146 () (_ @t41 @t52 @t45)) % 150.78/151.10 (define @t147 () (_ @t41 @t45 @t52)) % 150.78/151.10 (define @t148 () (not @t147)) % 150.78/151.10 (define @t149 () (not @t55)) % 150.78/151.10 (define @t150 () (or @t149 @t54)) % 150.78/151.10 (define @t151 () (_ @t95 @t137 @t123)) % 150.78/151.10 (define @t152 () (or @t140 @t151)) % 150.78/151.10 (define @t153 () (forall @t65 (or @t144 (not (tptp.rel_s5 @t52 @t61)) (tptp.rel_s5 @t45 @t61)))) % 150.78/151.10 (define @t154 () (_ @t41 @t45 @t61)) % 150.78/151.10 (define @t155 () (_ @t41 @t52 @t61)) % 150.78/151.10 (define @t156 () (not @t63)) % 150.78/151.10 (define @t157 () (or @t149 @t156 @t62)) % 150.78/151.10 (define @t158 () (_ @t95 @t137 @t130)) % 150.78/151.10 (define @t159 () (or @t139 @t136 @t158)) % 150.78/151.10 (define @t160 () (_ @t95 @t131 @t126)) % 150.78/151.10 (define @t161 () (not @t160)) % 150.78/151.10 (define @t162 () (or @t161 @t127)) % 150.78/151.10 (define @t163 () (_ @t95 @t137 @t126)) % 150.78/151.10 (define @t164 () (not @t151)) % 150.78/151.10 (define @t165 () (or @t164 @t129 @t163)) % 150.78/151.10 (define @t166 () (_ @t95 @t131 @t122)) % 150.78/151.10 (define @t167 () (not @t158)) % 150.78/151.10 (define @t168 () (or @t167 @t166)) % 150.78/151.10 (define @t169 () (not @t163)) % 150.78/151.10 (define @t170 () (not @t166)) % 150.78/151.10 (define @t171 () (or @t170 @t169 @t160)) % 150.78/151.10 (define @t172 () (not @t141)) % 150.78/151.10 (define @t173 () (not @t121)) % 150.78/151.10 (define @t174 () (@list false)) % 150.78/151.10 (define @t175 () (tptp.p @t98)) % 150.78/151.10 (define @t176 () (not (forall @t102 (or (not (tptp.rel_s5 @t101 @t98)) @t175)))) % 150.78/151.10 (define @t177 () (not (tptp.rel_s5 @t104 @t101))) % 150.78/151.10 (define @t178 () (not (tptp.rel_s5 @t39 @t104))) % 150.78/151.10 (define @t179 () (not (tptp.rel_s5 @t107 @t39))) % 150.78/151.10 (define @t180 () (tptp.p @t39)) % 150.78/151.10 (define @t181 () (forall @t111 (or (not (forall @t42 (or @t179 @t180))) (not (forall @t109 (or @t179 @t178 @t177 @t176)))))) % 150.78/151.10 (define @t182 () (tptp.p @t114)) % 150.78/151.10 (define @t183 () (not (tptp.rel_s5 @t115 @t114))) % 150.78/151.10 (define @t184 () (not (forall @t102 (or (not (tptp.rel_s5 @t117 @t98)) @t175)))) % 150.78/151.10 (define @t185 () (not (tptp.rel_s5 @t118 @t117))) % 150.78/151.10 (define @t186 () (not (tptp.rel_s5 @t119 @t118))) % 150.78/151.10 (define @t187 () (not (tptp.rel_s5 @t115 @t119))) % 150.78/151.10 (define @t188 () (or @t187 @t186 @t185 @t184 @t183 @t182)) % 150.78/151.10 (define @t189 () (or @t183 @t182)) % 150.78/151.10 (define @t190 () (or @t187 @t186 @t185 @t184)) % 150.78/151.10 (define @t191 () (or @t190 @t189)) % 150.78/151.10 (define @t192 () (forall @t120 @t191)) % 150.78/151.10 (define @t193 () (forall (@list @t119 @t118 @t117 @t114) @t191)) % 150.78/151.10 (define @t194 () (@list @t115)) % 150.78/151.10 (define @t195 () (forall (@list @t114) @t189)) % 150.78/151.10 (define @t196 () (@list @t39)) % 150.78/151.10 (define @t197 () (forall (@list @t119 @t118 @t117) @t190)) % 150.78/151.10 (define @t198 () (or @t197 @t195)) % 150.78/151.10 (define @t199 () (not (tptp.rel_s5 @t115 @t39))) % 150.78/151.10 (define @t200 () (forall @t194 (or (forall @t109 (or @t199 @t178 @t177 @t176)) (forall @t42 (or @t199 @t180))))) % 150.78/151.10 (define @t201 () (tptp.rel_s5 @t5 @t39)) % 150.78/151.10 (define @t202 () (not @t201)) % 150.78/151.10 (define @t203 () (forall @t109 (or @t202 @t178 @t177 @t176))) % 150.78/151.10 (define @t204 () (forall @t42 (or @t202 @t180))) % 150.78/151.10 (define @t205 () (or (not @t204) (not @t203))) % 150.78/151.10 (define @t206 () (forall @t37 @t205)) % 150.78/151.10 (define @t207 () (@list @t5)) % 150.78/151.10 (define @t208 () (or @t203 @t204)) % 150.78/151.10 (define @t209 () (forall @t37 @t208)) % 150.78/151.10 (define @t210 () (and @t209 @t206)) % 150.78/151.10 (define @t211 () (not @t205)) % 150.78/151.10 (define @t212 () (not @t208)) % 150.78/151.10 (define @t213 () (not (or @t212 @t211))) % 150.78/151.10 (define @t214 () (not (tptp.rel_s5 @t18 @t39))) % 150.78/151.10 (define @t215 () (or @t214 @t178 @t177 @t176)) % 150.78/151.10 (define @t216 () (forall @t109 @t215)) % 150.78/151.10 (define @t217 () (not @t216)) % 150.78/151.10 (define @t218 () (forall @t42 (or @t214 @t180))) % 150.78/151.10 (define @t219 () (@list @t18)) % 150.78/151.10 (define @t220 () (lambda @t219 (not (or (not (or @t216 @t218)) (not (or (not @t218) @t217)))))) % 150.78/151.10 (define @t221 () (_ @t220 @t5)) % 150.78/151.10 (define @t222 () (forall @t37 @t221)) % 150.78/151.10 (define @t223 () (_ @t10 @t5)) % 150.78/151.10 (define @t224 () (lambda @t80 (forall @t37 @t223))) % 150.78/151.10 (define @t225 () (lambda @t37 @t204)) % 150.78/151.10 (define @t226 () (_ @t225 @t18)) % 150.78/151.10 (define @t227 () (not @t226)) % 150.78/151.10 (define @t228 () (or @t227 @t217)) % 150.78/151.10 (define @t229 () (not @t228)) % 150.78/151.10 (define @t230 () (or @t216 @t226)) % 150.78/151.10 (define @t231 () (not @t230)) % 150.78/151.10 (define @t232 () (or @t231 @t229)) % 150.78/151.10 (define @t233 () (not @t232)) % 150.78/151.10 (define @t234 () (lambda @t219 @t233)) % 150.78/151.10 (define @t235 () (_ @t15 @t18)) % 150.78/151.10 (define @t236 () (not @t235)) % 150.78/151.10 (define @t237 () (@list @t15 @t18)) % 150.78/151.10 (define @t238 () (_ @t10 @t39)) % 150.78/151.10 (define @t239 () (lambda @t13 (forall @t42 (or @t202 @t238)))) % 150.78/151.10 (define @t240 () (_ @t239 tptp.p)) % 150.78/151.10 (define @t241 () (lambda @t219 @t217)) % 150.78/151.10 (define @t242 () (_ @t241 @t18)) % 150.78/151.10 (define @t243 () (or @t236 @t242)) % 150.78/151.10 (define @t244 () (not @t243)) % 150.78/151.10 (define @t245 () (not @t242)) % 150.78/151.10 (define @t246 () (or @t245 @t235)) % 150.78/151.10 (define @t247 () (not @t246)) % 150.78/151.10 (define @t248 () (or @t247 @t244)) % 150.78/151.10 (define @t249 () (not @t248)) % 150.78/151.10 (define @t250 () (lambda @t237 @t249)) % 150.78/151.10 (define @t251 () (_ @t10 @t18)) % 150.78/151.10 (define @t252 () (or @t236 @t251)) % 150.78/151.10 (define @t253 () (not @t251)) % 150.78/151.10 (define @t254 () (or @t253 @t235)) % 150.78/151.10 (define @t255 () (not @t254)) % 150.78/151.10 (define @t256 () (not (or @t255 (not @t252)))) % 150.78/151.10 (define @t257 () (lambda @t22 @t256)) % 150.78/151.10 (define @t258 () (or @t178 @t177 @t176)) % 150.78/151.10 (define @t259 () (or @t214 @t258)) % 150.78/151.10 (define @t260 () (forall @t109 @t259)) % 150.78/151.10 (define @t261 () (@list @t104 @t101)) % 150.78/151.10 (define @t262 () (forall @t261 @t259)) % 150.78/151.10 (define @t263 () (forall @t261 @t258)) % 150.78/151.10 (define @t264 () (@var "BOUND_VARIABLE_8482" $$unsorted)) % 150.78/151.10 (define @t265 () (@var "BOUND_VARIABLE_8506" $$unsorted)) % 150.78/151.10 (define @t266 () (or @t214 @t263)) % 150.78/151.10 (define @t267 () (not (forall @t102 (or (not (tptp.rel_s5 @t264 @t98)) @t175)))) % 150.78/151.10 (define @t268 () (not (tptp.rel_s5 @t265 @t264))) % 150.78/151.10 (define @t269 () (@list @t265 @t264)) % 150.78/151.10 (define @t270 () (forall @t269 (or (not (tptp.rel_s5 @t39 @t265)) @t268 @t267))) % 150.78/151.10 (define @t271 () (not (tptp.rel_s5 @t39 @t264))) % 150.78/151.10 (define @t272 () (or @t214 @t271 @t267)) % 150.78/151.10 (define @t273 () (@list @t39 @t264)) % 150.78/151.10 (define @t274 () (forall @t273 @t272)) % 150.78/151.10 (define @t275 () (not @t274)) % 150.78/151.10 (define @t276 () (lambda @t219 @t275)) % 150.78/151.10 (define @t277 () (not (_ @t276 @t39))) % 150.78/151.10 (define @t278 () (or @t214 @t277)) % 150.78/151.10 (define @t279 () (forall @t42 @t278)) % 150.78/151.10 (define @t280 () (not @t279)) % 150.78/151.10 (define @t281 () (lambda @t219 @t280)) % 150.78/151.10 (define @t282 () (not @t238)) % 150.78/151.10 (define @t283 () (not (forall @t42 (or @t214 @t282)))) % 150.78/151.10 (define @t284 () (lambda @t90 @t283)) % 150.78/151.10 (define @t285 () (or @t271 @t267)) % 150.78/151.10 (define @t286 () (or @t214 @t285)) % 150.78/151.10 (define @t287 () (forall @t273 @t286)) % 150.78/151.10 (define @t288 () (@list @t264)) % 150.78/151.10 (define @t289 () (forall @t288 @t286)) % 150.78/151.10 (define @t290 () (forall @t288 @t285)) % 150.78/151.10 (define @t291 () (@var "BOUND_VARIABLE_8459" $$unsorted)) % 150.78/151.10 (define @t292 () (@list @t291)) % 150.78/151.10 (define @t293 () (or @t214 @t290)) % 150.78/151.10 (define @t294 () (not (forall @t102 (or (not (tptp.rel_s5 @t291 @t98)) @t175)))) % 150.78/151.10 (define @t295 () (@list @t291)) % 150.78/151.10 (define @t296 () (forall @t295 (or (not (tptp.rel_s5 @t39 @t291)) @t294))) % 150.78/151.10 (define @t297 () (forall @t102 (or (not (tptp.rel_s5 @t39 @t98)) @t175))) % 150.78/151.10 (define @t298 () (forall @t42 (or @t214 (not @t297)))) % 150.78/151.10 (define @t299 () (not @t298)) % 150.78/151.10 (define @t300 () (lambda @t219 @t299)) % 150.78/151.10 (define @t301 () (not (_ @t300 @t39))) % 150.78/151.10 (define @t302 () (or @t214 @t301)) % 150.78/151.10 (define @t303 () (forall @t42 @t302)) % 150.78/151.10 (define @t304 () (not @t303)) % 150.78/151.10 (define @t305 () (lambda @t219 @t304)) % 150.78/151.10 (define @t306 () (@list @t98)) % 150.78/151.10 (define @t307 () (not (_ @t225 @t39))) % 150.78/151.10 (define @t308 () (or @t214 @t307)) % 150.78/151.10 (define @t309 () (forall @t42 @t308)) % 150.78/151.10 (define @t310 () (not @t309)) % 150.78/151.10 (define @t311 () (lambda @t219 @t310)) % 150.78/151.10 (define @t312 () (forall @t42 (or @t202 @t282))) % 150.78/151.10 (define @t313 () (lambda @t37 @t312)) % 150.78/151.10 (define @t314 () (_ @t313 @t5)) % 150.78/151.10 (define @t315 () (not @t314)) % 150.78/151.10 (define @t316 () (lambda @t37 @t315)) % 150.78/151.10 (define @t317 () (not @t40)) % 150.78/151.10 (define @t318 () (or @t202 @t317)) % 150.78/151.10 (define @t319 () (lambda @t37 @t12)) % 150.78/151.10 (define @t320 () (_ @t319 @t39)) % 150.78/151.10 (define @t321 () (or @t202 @t320)) % 150.78/151.10 (define @t322 () (forall @t42 @t321)) % 150.78/151.10 (define @t323 () (lambda @t37 @t322)) % 150.78/151.10 (define @t324 () (lambda @t219 @t252)) % 150.78/151.10 (define @t325 () (_ @t324 @t18)) % 150.78/151.10 (define @t326 () (not @t325)) % 150.78/151.10 (define @t327 () (or @t255 @t326)) % 150.78/151.10 (define @t328 () (not @t327)) % 150.78/151.10 (define @t329 () (lambda @t219 @t328)) % 150.78/151.10 (define @t330 () (@var "BOUND_VARIABLE_7582" (-> $$unsorted Bool))) % 150.78/151.10 (define @t331 () (not (_ @t330 @t18))) % 150.78/151.10 (define @t332 () (@list @t330 @t18)) % 150.78/151.10 (define @t333 () (@var "BOUND_VARIABLE_7602" (-> $$unsorted Bool))) % 150.78/151.10 (define @t334 () (_ @t333 @t18)) % 150.78/151.10 (define @t335 () (lambda (@list @t333 @t18) (or @t236 @t334))) % 150.78/151.10 (define @t336 () (lambda @t22 @t254)) % 150.78/151.10 (define @t337 () (@list @t15)) % 150.78/151.10 (define @t338 () (lambda @t219 @t254)) % 150.78/151.10 (define @t339 () (_ @t338 @t18)) % 150.78/151.10 (define @t340 () (not @t339)) % 150.78/151.10 (define @t341 () (or @t340 @t331)) % 150.78/151.10 (define @t342 () (not @t341)) % 150.78/151.10 (define @t343 () (lambda @t332 @t342)) % 150.78/151.10 (define @t344 () (not (or @t253 @t236))) % 150.78/151.10 (define @t345 () (lambda @t22 @t344)) % 150.78/151.10 (define @t346 () (lambda @t237 @t254)) % 150.78/151.10 (define @t347 () (or @t12 @t16)) % 150.78/151.10 (define @t348 () (lambda @t37 @t347)) % 150.78/151.10 (define @t349 () (@list @t15 @t5)) % 150.78/151.10 (define @t350 () (lambda @t349 @t347)) % 150.78/151.10 (define @t351 () (_ @t319 @t5)) % 150.78/151.10 (define @t352 () (or @t351 @t16)) % 150.78/151.10 (define @t353 () (lambda @t349 @t352)) % 150.78/151.10 (define @t354 () (not @t16)) % 150.78/151.10 (define @t355 () (or @t12 @t354)) % 150.78/151.10 (define @t356 () (lambda @t37 @t355)) % 150.78/151.10 (define @t357 () (_ @t356 @t5)) % 150.78/151.10 (define @t358 () (not @t357)) % 150.78/151.10 (define @t359 () (lambda @t37 @t358)) % 150.78/151.10 (define @t360 () (lambda @t37 @t354)) % 150.78/151.10 (define @t361 () (_ @t360 @t5)) % 150.78/151.10 (define @t362 () (or @t12 @t361)) % 150.78/151.10 (define @t363 () (lambda @t37 @t362)) % 150.78/151.10 (define @t364 () (not @t112)) % 150.78/151.10 (define @t365 () (_ @t93 @t92 @t113)) % 150.78/151.10 (define @t366 () (not (_ @t95 @t365 @t39))) % 150.78/151.10 (define @t367 () (forall @t109 (or @t366 @t106 @t105 @t103))) % 150.78/151.10 (define @t368 () (not @t367)) % 150.78/151.10 (define @t369 () (forall @t42 (or @t366 @t110))) % 150.78/151.10 (define @t370 () (not @t369)) % 150.78/151.10 (define @t371 () (or @t370 @t368)) % 150.78/151.10 (define @t372 () (not @t371)) % 150.78/151.10 (define @t373 () (@list true)) % 150.78/151.10 (define @t374 () (@list @t371)) % 150.78/151.10 (define @t375 () (forall @t102 (or (not (_ @t95 @t365 @t98)) @t100))) % 150.78/151.10 (define @t376 () (not @t375)) % 150.78/151.10 (define @t377 () (_ @t95 @t365 @t113)) % 150.78/151.10 (define @t378 () (not @t377)) % 150.78/151.10 (define @t379 () (or @t378 @t378 @t378 @t376)) % 150.78/151.10 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 150.78/151.10 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 150.78/151.10 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 150.78/151.10 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 150.78/151.10 (assume @p5 @t2) % 150.78/151.10 (assume @p6 true) % 150.78/151.10 (step @p7 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 150.78/151.10 (step @p8 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 150.78/151.10 (step @p9 (= tptp.mnot @t14) :rule refl :args (@t14)) % 150.78/151.10 (step @p10 (= tptp.mor @t17) :rule refl :args (@t17)) % 150.78/151.10 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 150.78/151.10 (step @p12 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 150.78/151.10 (step @p13 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 150.78/151.10 (step @p14 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 150.78/151.10 (step @p15 (= tptp.mxor @t27) :rule refl :args (@t27)) % 150.78/151.10 (step @p16 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 150.78/151.10 (step @p17 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 150.78/151.10 (step @p18 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 150.78/151.10 (step @p19 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 150.78/151.10 (step @p20 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 150.78/151.10 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 150.78/151.10 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 150.78/151.10 (step @p23 (= tptp.mreflexive @t51) :rule refl :args (@t51)) % 150.78/151.10 (step @p24 (= tptp.msymmetric @t58) :rule refl :args (@t58)) % 150.78/151.10 (step @p25 (= tptp.mserial @t60) :rule refl :args (@t60)) % 150.78/151.10 (step @p26 (= tptp.mtransitive @t67) :rule refl :args (@t67)) % 150.78/151.10 (step @p27 (= tptp.meuclidean @t69) :rule refl :args (@t69)) % 150.78/151.10 (step @p28 (= tptp.mpartially_functional @t71) :rule refl :args (@t71)) % 150.78/151.10 (step @p29 (= tptp.mfunctional @t73) :rule refl :args (@t73)) % 150.78/151.10 (step @p30 (= tptp.mweakly_dense @t76) :rule refl :args (@t76)) % 150.78/151.10 (step @p31 (= tptp.mweakly_connected @t77) :rule refl :args (@t77)) % 150.78/151.10 (step @p32 (= tptp.mweakly_directed @t78) :rule refl :args (@t78)) % 150.78/151.10 (step @p33 (= tptp.mvalid @t81) :rule refl :args (@t81)) % 150.78/151.10 (step @p34 (= tptp.minvalid @t82) :rule refl :args (@t82)) % 150.78/151.10 (step @p35 (= tptp.msatisfiable @t83) :rule refl :args (@t83)) % 150.78/151.10 (step @p36 (= tptp.mcountersatisfiable @t84) :rule refl :args (@t84)) % 150.78/151.10 (step @p37 (= tptp.mbox_s5 @t89) :rule refl :args (@t89)) % 150.78/151.10 (step @p38 (= tptp.mdia_s5 @t91) :rule refl :args (@t91)) % 150.78/151.10 ; WARNING: add trust step for TRUST % 150.78/151.10 ; trust TRUST PREPROCESS_HO_ELIM % 150.78/151.10 (step @p39 :rule trust :premises () :args ((= @t96 (forall @t48 (_ @t95 @t94 @t45))))) % 150.78/151.10 (step @p40 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t48 @t97)) tptp.rel_s5) @t96))) % 150.78/151.10 (step @p41 :rule refl :args (tptp.rel_s5)) % 150.78/151.10 (step @p42 :rule refl :args (@t97)) % 150.78/151.10 (step @p43 :rule refl :args (@t47)) % 150.78/151.10 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t47 @t97))) % 150.78/151.10 (step @p45 :rule symm :premises (@p44)) % 150.78/151.10 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 150.78/151.10 (step @p47 :rule cong :premises (@p46) :args (@t49)) % 150.78/151.10 (step @p48 :rule cong :premises (@p47) :args (@t51)) % 150.78/151.10 (step @p49 :rule trans :premises (@p23 @p48)) % 150.78/151.10 (step @p50 :rule ho_cong :premises (@p49 @p41)) % 150.78/151.10 (step @p51 :rule trans :premises (@p50 @p40)) % 150.78/151.10 (step @p52 :rule trans :premises (@p51 @p39)) % 150.78/151.10 (step @p53 :rule eq_resolve :premises (@p2 @p52)) % 150.78/151.10 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t113))) % 150.78/151.10 (step @p55 :rule bool-double-not-elim :args (@t125)) % 150.78/151.10 (step @p56 :rule refl :args (@t141)) % 150.78/151.10 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t141 (not @t140)))) % 150.78/151.10 (step @p58 :rule cnf_or_neg :args (@t141 0)) % 150.78/151.10 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 150.78/151.10 (step @p60 :rule reordering :premises (@p59) :args ((or @t125 @t141))) % 150.78/151.10 (step @p61 :rule bool-double-not-elim :args (@t138)) % 150.78/151.10 (step @p62 :rule nary_cong :premises (@p56 @p61) :args ((or @t141 (not @t139)))) % 150.78/151.10 (step @p63 :rule cnf_or_neg :args (@t141 1)) % 150.78/151.10 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 150.78/151.10 (step @p65 :rule reordering :premises (@p64) :args ((or @t138 @t141))) % 150.78/151.10 (step @p66 :rule bool-double-not-elim :args (@t135)) % 150.78/151.10 (step @p67 :rule nary_cong :premises (@p56 @p66) :args ((or @t141 (not @t136)))) % 150.78/151.10 (step @p68 :rule cnf_or_neg :args (@t141 2)) % 150.78/151.10 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 150.78/151.10 (step @p70 :rule reordering :premises (@p69) :args ((or @t135 @t141))) % 150.78/151.10 (step @p71 :rule bool-double-not-elim :args (@t132)) % 150.78/151.10 (step @p72 :rule nary_cong :premises (@p56 @p71) :args ((or @t141 (not @t133)))) % 150.78/151.10 (step @p73 :rule cnf_or_neg :args (@t141 3)) % 150.78/151.10 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 150.78/151.10 (step @p75 :rule reordering :premises (@p74) :args ((or @t132 @t141))) % 150.78/151.10 (step @p76 :rule bool-double-not-elim :args (@t128)) % 150.78/151.10 (step @p77 :rule nary_cong :premises (@p56 @p76) :args ((or @t141 (not @t129)))) % 150.78/151.10 (step @p78 :rule cnf_or_neg :args (@t141 4)) % 150.78/151.10 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 150.78/151.10 (step @p80 :rule reordering :premises (@p79) :args ((or @t128 @t141))) % 150.78/151.10 (step @p81 :rule cnf_or_neg :args (@t141 5)) % 150.78/151.10 ; trust TRUST PREPROCESS_HO_ELIM % 150.78/151.10 (step @p82 :rule trust :premises () :args ((= @t145 (forall @t56 (or @t143 (_ @t95 @t142 @t45)))))) % 150.78/151.10 (step @p83 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t56 (or @t148 @t146))) tptp.rel_s5) @t145))) % 150.78/151.10 (step @p84 :rule refl :args (@t146)) % 150.78/151.10 (step @p85 :rule refl :args (@t54)) % 150.78/151.10 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t54 @t146))) % 150.78/151.10 (step @p87 :rule symm :premises (@p86)) % 150.78/151.10 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 150.78/151.10 (step @p89 :rule refl :args (@t147)) % 150.78/151.10 (step @p90 :rule refl :args (@t55)) % 150.78/151.10 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t55 @t147))) % 150.78/151.10 (step @p92 :rule symm :premises (@p91)) % 150.78/151.10 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 150.78/151.10 (step @p94 :rule cong :premises (@p93) :args (@t149)) % 150.78/151.10 (step @p95 :rule nary_cong :premises (@p94 @p88) :args (@t150)) % 150.78/151.10 (step @p96 :rule cong :premises (@p95) :args ((forall @t56 @t150))) % 150.78/151.10 (step @p97 :rule bool-impl-elim :args (@t55 @t54)) % 150.78/151.10 (step @p98 :rule cong :premises (@p97) :args (@t57)) % 150.78/151.10 (step @p99 :rule trans :premises (@p98 @p96)) % 150.78/151.10 (step @p100 :rule cong :premises (@p99) :args (@t58)) % 150.78/151.10 (step @p101 :rule trans :premises (@p24 @p100)) % 150.78/151.10 (step @p102 :rule ho_cong :premises (@p101 @p41)) % 150.78/151.10 (step @p103 :rule trans :premises (@p102 @p83)) % 150.78/151.10 (step @p104 :rule trans :premises (@p103 @p82)) % 150.78/151.10 (step @p105 :rule eq_resolve :premises (@p4 @p104)) % 150.78/151.10 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t123 @t122))) % 150.78/151.10 (step @p107 :rule cnf_or_pos :args (@t152)) % 150.78/151.10 (step @p108 :rule reordering :premises (@p107) :args ((or @t140 @t151 (not @t152)))) % 150.78/151.10 ; trust TRUST PREPROCESS_HO_ELIM % 150.78/151.10 (step @p109 :rule trust :premises () :args ((= @t153 (forall @t65 (or @t143 (not (_ @t95 @t142 @t61)) (_ @t95 @t94 @t61)))))) % 150.78/151.10 (step @p110 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t65 (or @t148 (not @t155) @t154))) tptp.rel_s5) @t153))) % 150.78/151.10 (step @p111 :rule refl :args (@t154)) % 150.78/151.10 (step @p112 :rule refl :args (@t62)) % 150.78/151.10 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t62 @t154))) % 150.78/151.10 (step @p114 :rule symm :premises (@p113)) % 150.78/151.10 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 150.78/151.10 (step @p116 :rule refl :args (@t155)) % 150.78/151.10 (step @p117 :rule refl :args (@t63)) % 150.78/151.10 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t63 @t155))) % 150.78/151.10 (step @p119 :rule symm :premises (@p118)) % 150.78/151.10 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 150.78/151.10 (step @p121 :rule cong :premises (@p120) :args (@t156)) % 150.78/151.10 (step @p122 :rule nary_cong :premises (@p94 @p121 @p115) :args (@t157)) % 150.78/151.10 (step @p123 :rule cong :premises (@p122) :args ((forall @t65 @t157))) % 150.78/151.10 (step @p124 :rule aci_norm :args ((= (or (or @t149 @t156) @t62) @t157))) % 150.78/151.10 (step @p125 :rule bool-and-de-morgan :args (@t55 @t63 true)) % 150.78/151.10 (step @p126 :rule nary_cong :premises (@p125 @p112) :args ((or (not @t64) @t62))) % 150.78/151.10 (step @p127 :rule trans :premises (@p126 @p124)) % 150.78/151.10 (step @p128 :rule bool-impl-elim :args (@t64 @t62)) % 150.78/151.10 (step @p129 :rule trans :premises (@p128 @p127)) % 150.78/151.10 (step @p130 :rule cong :premises (@p129) :args (@t66)) % 150.78/151.10 (step @p131 :rule trans :premises (@p130 @p123)) % 150.78/151.10 (step @p132 :rule cong :premises (@p131) :args (@t67)) % 150.78/151.10 (step @p133 :rule trans :premises (@p26 @p132)) % 150.78/151.10 (step @p134 :rule ho_cong :premises (@p133 @p41)) % 150.78/151.10 (step @p135 :rule trans :premises (@p134 @p110)) % 150.78/151.10 (step @p136 :rule trans :premises (@p135 @p109)) % 150.78/151.10 (step @p137 :rule eq_resolve :premises (@p3 @p136)) % 150.78/151.10 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t122 @t134 @t130))) % 150.78/151.10 (step @p139 :rule cnf_or_pos :args (@t159)) % 150.78/151.10 (step @p140 :rule reordering :premises (@p139) :args ((or @t139 @t136 @t158 (not @t159)))) % 150.78/151.10 (assume-push @p522 @t132) % 150.78/151.10 (step @p142 :rule instantiate :premises (@p522) :args ((@list @t126))) % 150.78/151.10 (step-pop @p523 :rule scope :premises (@p142)) % 150.78/151.10 (step @p143 :rule process_scope :premises (@p523) :args (@t162)) % 150.78/151.10 (step @p145 :rule implies_elim :premises (@p143)) % 150.78/151.10 (step @p146 :rule instantiate :premises (@p137) :args ((@list @t122 @t123 @t126))) % 150.78/151.10 (step @p147 :rule cnf_or_pos :args (@t165)) % 150.78/151.10 (step @p148 :rule reordering :premises (@p147) :args ((or @t129 @t164 @t163 (not @t165)))) % 150.78/151.10 (step @p149 :rule instantiate :premises (@p105) :args ((@list @t122 @t130))) % 150.78/151.10 (step @p150 :rule cnf_or_pos :args (@t168)) % 150.78/151.10 (step @p151 :rule reordering :premises (@p150) :args ((or @t167 @t166 (not @t168)))) % 150.78/151.10 (step @p152 :rule cnf_or_pos :args (@t162)) % 150.78/151.10 (step @p153 :rule reordering :premises (@p152) :args ((or @t127 @t161 (not @t162)))) % 150.78/151.10 (step @p154 :rule instantiate :premises (@p137) :args ((@list @t130 @t122 @t126))) % 150.78/151.10 (step @p155 :rule cnf_or_pos :args (@t171)) % 150.78/151.10 (step @p156 :rule reordering :premises (@p155) :args ((or @t160 @t170 @t169 (not @t171)))) % 150.78/151.10 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p153 @p151 @p149 @p148 @p146 @p145 @p140 @p138 @p108 @p106 @p81 @p80 @p75 @p70 @p65 @p60) :args (@t141 (@list false true false false false false false false false false false true false false false false false) (@list @t171 @t160 @t166 @t168 @t163 @t165 @t162 @t158 @t159 @t151 @t152 @t127 @t128 @t132 @t135 @t138 @t125))) % 150.78/151.10 (step @p158 :rule refl :args (@t172)) % 150.78/151.10 (step @p159 :rule bool-double-not-elim :args (@t121)) % 150.78/151.10 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t173) @t172))) % 150.78/151.10 (assume-push @p524 @t173) % 150.78/151.10 (step @p162 :rule skolemize :premises (@p524)) % 150.78/151.10 (step-pop @p525 :rule scope :premises (@p162)) % 150.78/151.10 (step @p163 :rule process_scope :premises (@p525) :args (@t172)) % 150.78/151.10 (step @p165 :rule implies_elim :premises (@p163)) % 150.78/151.10 (step @p166 :rule eq_resolve :premises (@p165 @p160)) % 150.78/151.10 (step @p167 :rule chain_m_resolution :premises (@p166 @p157) :args (@t121 @t174 (@list @t141))) % 150.78/151.10 ; trust TRUST PREPROCESS_HO_ELIM % 150.78/151.10 (step @p168 :rule trust :premises () :args ((= (not (and (forall @t120 @t188) @t181)) (not (and @t121 @t112))))) % 150.78/151.10 (step @p169 :rule refl :args (@t181)) % 150.78/151.10 (step @p170 :rule aci_norm :args ((= @t191 @t188))) % 150.78/151.10 (step @p171 :rule cong :premises (@p170) :args (@t192)) % 150.78/151.10 (step @p172 :rule quant-merge-prenex :args ((= (forall @t194 @t193) @t192))) % 150.78/151.10 (step @p173 :rule alpha_equiv :args (@t195 (@list @t114) @t196)) % 150.78/151.10 (step @p174 :rule alpha_equiv :args (@t197 (@list @t119 @t118 @t117) (@list @t39 @t104 @t101))) % 150.78/151.10 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t198)) % 150.78/151.10 (step @p176 :rule quant-miniscope-or :args ((= @t193 @t198))) % 150.78/151.10 (step @p177 :rule trans :premises (@p176 @p175)) % 150.78/151.10 (step @p178 :rule symm :premises (@p177)) % 150.78/151.10 (step @p179 :rule cong :premises (@p178) :args (@t200)) % 150.78/151.10 (step @p180 :rule trans :premises (@p179 @p172)) % 150.78/151.10 (step @p181 :rule trans :premises (@p180 @p171)) % 150.78/151.10 (step @p182 :rule nary_cong :premises (@p181 @p169) :args ((and @t200 @t181))) % 150.78/151.10 (step @p183 :rule alpha_equiv :args (@t206 @t207 (@list @t107))) % 150.78/151.10 (step @p184 :rule alpha_equiv :args (@t209 @t207 (@list @t115))) % 150.78/151.10 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t210)) % 150.78/151.10 (step @p186 :rule quant-miniscope-and :args ((= (forall @t37 (and @t208 @t205)) @t210))) % 150.78/151.10 (step @p187 :rule trans :premises (@p186 @p185)) % 150.78/151.10 (step @p188 :rule trans :premises (@p187 @p182)) % 150.78/151.10 (step @p189 :rule bool-double-not-elim :args (@t205)) % 150.78/151.10 (step @p190 :rule bool-double-not-elim :args (@t208)) % 150.78/151.10 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((and (not @t212) (not @t211)))) % 150.78/151.10 (step @p192 :rule bool-or-de-morgan :args (@t212 @t211 false)) % 150.78/151.10 (step @p193 :rule trans :premises (@p192 @p191)) % 150.78/151.10 (step @p194 :rule cong :premises (@p193) :args ((forall @t37 @t213))) % 150.78/151.10 (step @p195 :rule trans :premises (@p194 @p188)) % 150.78/151.10 (step @p196 :rule beta-reduce :args ((= @t221 @t213))) % 150.78/151.10 (step @p197 :rule cong :premises (@p196) :args (@t222)) % 150.78/151.10 (step @p198 :rule trans :premises (@p197 @p195)) % 150.78/151.10 (step @p199 :rule beta-reduce :args ((= (_ @t224 @t220) @t222))) % 150.78/151.10 (step @p200 :rule trans :premises (@p199 @p198)) % 150.78/151.10 (step @p201 :rule refl :args (@t217)) % 150.78/151.10 (step @p202 :rule beta-reduce :args ((= @t226 @t218))) % 150.78/151.10 (step @p203 :rule cong :premises (@p202) :args (@t227)) % 150.78/151.10 (step @p204 :rule nary_cong :premises (@p203 @p201) :args (@t228)) % 150.78/151.10 (step @p205 :rule cong :premises (@p204) :args (@t229)) % 150.78/151.10 (step @p206 :rule refl :args (@t216)) % 150.78/151.10 (step @p207 :rule nary_cong :premises (@p206 @p202) :args (@t230)) % 150.78/151.10 (step @p208 :rule cong :premises (@p207) :args (@t231)) % 150.78/151.10 (step @p209 :rule nary_cong :premises (@p208 @p205) :args (@t232)) % 150.78/151.10 (step @p210 :rule cong :premises (@p209) :args (@t233)) % 150.78/151.10 (step @p211 :rule cong :premises (@p210) :args (@t234)) % 150.78/151.10 (step @p212 :rule beta-reduce :args ((= (_ (lambda @t237 (not (or (not (or @t216 @t235)) (not (or @t236 @t217))))) @t225) @t234))) % 150.78/151.10 (step @p213 :rule trans :premises (@p212 @p211)) % 150.78/151.10 (step @p214 :rule beta-reduce :args ((= @t240 @t225))) % 150.78/151.10 (step @p215 :rule beta-reduce :args ((= @t242 @t217))) % 150.78/151.10 (step @p216 :rule refl :args (@t236)) % 150.78/151.10 (step @p217 :rule nary_cong 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150.78/151.11 (step @p426 :rule trans :premises (@p425 @p412)) % 150.78/151.11 (step @p427 :rule ho_cong :premises (@p10 @p361)) % 150.78/151.11 (step @p428 :rule ho_cong :premises (@p427 @p401)) % 150.78/151.11 (step @p429 :rule ho_cong :premises (@p428 @p333)) % 150.78/151.11 (step @p430 :rule trans :premises (@p429 @p426)) % 150.78/151.11 (step @p431 :rule cong :premises (@p430) :args (@t24)) % 150.78/151.11 (step @p432 :rule trans :premises (@p12 @p431)) % 150.78/151.11 (step @p433 :rule ho_cong :premises (@p432 @p401)) % 150.78/151.11 (step @p434 :rule ho_cong :premises (@p433 @p360)) % 150.78/151.11 (step @p435 :rule ho_cong :premises (@p432 @p360)) % 150.78/151.11 (step @p436 :rule ho_cong :premises (@p435 @p401)) % 150.78/151.11 (step @p437 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t355)) @t18) @t344))) % 150.78/151.11 (step @p438 :rule beta-reduce :args ((= @t357 @t355))) % 150.78/151.11 (step @p439 :rule cong :premises (@p438) :args (@t358)) % 150.78/151.11 (step @p440 :rule cong :premises (@p439) :args (@t359)) % 150.78/151.11 (step @p441 :rule beta-reduce :args ((= (_ @t14 @t356) @t359))) % 150.78/151.11 (step @p442 :rule trans :premises (@p441 @p440)) % 150.78/151.11 (step @p443 :rule beta-reduce :args ((= @t361 @t354))) % 150.78/151.11 (step @p444 :rule refl :args (@t12)) % 150.78/151.11 (step @p445 :rule nary_cong :premises (@p444 @p443) :args (@t362)) % 150.78/151.11 (step @p446 :rule cong :premises (@p445) :args (@t363)) % 150.78/151.11 (step @p447 :rule beta-reduce :args ((= (_ @t350 @t360) @t363))) % 150.78/151.11 (step @p448 :rule trans :premises (@p447 @p446)) % 150.78/151.11 (step @p449 :rule beta-reduce :args ((= (_ @t14 @t15) @t360))) % 150.78/151.11 (step @p450 :rule ho_cong :premises (@p422 @p449)) % 150.78/151.11 (step @p451 :rule trans :premises (@p450 @p448)) % 150.78/151.11 (step @p452 :rule ho_cong :premises (@p355 @p451)) % 150.78/151.11 (step @p453 :rule trans :premises (@p452 @p442)) % 150.78/151.11 (step @p454 :rule ho_cong :premises (@p453 @p333)) % 150.78/151.11 (step @p455 :rule trans :premises (@p454 @p437)) % 150.78/151.11 (step @p456 :rule ho_cong :premises (@p9 @p401)) % 150.78/151.11 (step @p457 :rule ho_cong :premises (@p427 @p456)) % 150.78/151.11 (step @p458 :rule ho_cong :premises (@p9 @p457)) % 150.78/151.11 (step @p459 :rule ho_cong :premises (@p458 @p333)) % 150.78/151.11 (step @p460 :rule trans :premises (@p459 @p455)) % 150.78/151.11 (step @p461 :rule cong :premises (@p460) :args (@t23)) % 150.78/151.11 (step @p462 :rule trans :premises (@p11 @p461)) % 150.78/151.11 (step @p463 :rule ho_cong :premises (@p462 @p436)) % 150.78/151.11 (step @p464 :rule ho_cong :premises (@p463 @p434)) % 150.78/151.11 (step @p465 :rule ho_cong :premises (@p464 @p333)) % 150.78/151.11 (step @p466 :rule trans :premises (@p465 @p411)) % 150.78/151.11 (step @p467 :rule cong :premises (@p466) :args (@t26)) % 150.78/151.11 (step @p468 :rule trans :premises (@p14 @p467)) % 150.78/151.11 (step @p469 :rule ho_cong :premises (@p468 @p370)) % 150.78/151.11 (step @p470 :rule ho_cong :premises (@p469 @p331)) % 150.78/151.11 (step @p471 :rule refl :args (@t223)) % 150.78/151.11 (step @p472 :rule refl :args (@t11)) % 150.78/151.11 (step @p473 :rule cong :premises (@p472 @p471) :args ((= @t11 @t223))) % 150.78/151.11 (step @p474 :rule symm :premises (@p473)) % 150.78/151.11 (step @p475 :rule eq_resolve :premises (@p472 @p474)) % 150.78/151.11 (step @p476 :rule cong :premises (@p475) :args (@t79)) % 150.78/151.11 (step @p477 :rule cong :premises (@p476) :args (@t81)) % 150.78/151.11 (step @p478 :rule trans :premises (@p33 @p477)) % 150.78/151.11 (step @p479 :rule ho_cong :premises (@p478 @p470)) % 150.78/151.11 (step @p480 :rule cong :premises (@p479) :args (@t2)) % 150.78/151.11 (step @p481 :rule trans :premises (@p480 @p314)) % 150.78/151.11 (step @p482 :rule trans :premises (@p481 @p168)) % 150.78/151.11 (step @p483 :rule eq_resolve :premises (@p5 @p482)) % 150.78/151.11 (step @p484 :rule not_and :premises (@p483)) % 150.78/151.11 (step @p485 :rule chain_m_resolution :premises (@p484 @p167) :args (@t364 @t174 (@list @t121))) % 150.78/151.11 (step @p486 :rule refl :args (@t372)) % 150.78/151.11 (step @p487 :rule bool-double-not-elim :args (@t112)) % 150.78/151.11 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or (not @t364) @t372))) % 150.78/151.11 (assume-push @p526 @t364) % 150.78/151.11 (step @p490 :rule skolemize :premises (@p526)) % 150.78/151.11 (step-pop @p527 :rule scope :premises (@p490)) % 150.78/151.11 (step @p491 :rule process_scope :premises (@p527) :args (@t372)) % 150.78/151.11 (step @p493 :rule implies_elim :premises (@p491)) % 150.78/151.11 (step @p494 :rule eq_resolve :premises (@p493 @p488)) % 150.78/151.11 (step @p495 :rule chain_m_resolution :premises (@p494 @p485) :args (@t372 @t373 (@list @t112))) % 150.78/151.11 (step @p496 :rule bool-double-not-elim :args (@t369)) % 150.78/151.11 (step @p497 :rule refl :args (@t371)) % 150.78/151.11 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or @t371 (not @t370)))) % 150.78/151.11 (step @p499 :rule cnf_or_neg :args (@t371 0)) % 150.78/151.11 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 150.78/151.11 (step @p501 :rule reordering :premises (@p500) :args ((or @t369 @t371))) % 150.78/151.11 (step @p502 :rule chain_m_resolution :premises (@p501 @p495) :args (@t369 @t373 @t374)) % 150.78/151.11 (step @p503 :rule alpha_equiv :args (@t369 @t196 @t306)) % 150.78/151.11 (step @p504 :rule equiv_elim1 :premises (@p503)) % 150.78/151.11 (step @p505 :rule chain_m_resolution :premises (@p504 @p502) :args (@t375 @t174 (@list @t369))) % 150.78/151.11 (step @p506 :rule bool-double-not-elim :args (@t367)) % 150.78/151.11 (step @p507 :rule nary_cong :premises (@p497 @p506) :args ((or @t371 (not @t368)))) % 150.78/151.11 (step @p508 :rule cnf_or_neg :args (@t371 1)) % 150.78/151.11 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 150.78/151.11 (step @p510 :rule reordering :premises (@p509) :args ((or @t367 @t371))) % 150.78/151.11 (step @p511 :rule chain_m_resolution :premises (@p510 @p495) :args (@t367 @t373 @t374)) % 150.78/151.11 (assume-push @p528 @t367) % 150.78/151.11 (step @p513 :rule instantiate :premises (@p528) :args ((@list @t113 @t113 @t113))) % 150.78/151.11 (step-pop @p529 :rule scope :premises (@p513)) % 150.78/151.11 (step @p514 :rule process_scope :premises (@p529) :args (@t379)) % 150.78/151.11 (step @p516 :rule implies_elim :premises (@p514)) % 150.78/151.11 (step @p517 :rule chain_m_resolution :premises (@p516 @p511) :args (@t379 @t174 (@list @t367))) % 150.78/151.11 (step @p518 :rule cnf_or_pos :args (@t379)) % 150.78/151.11 (step @p519 :rule factoring :premises (@p518)) % 150.78/151.11 (step @p520 :rule reordering :premises (@p519) :args ((or @t378 @t376 (not @t379)))) % 150.78/151.11 (step @p521 false :rule chain_m_resolution :premises (@p520 @p517 @p505 @p54) :args (false (@list false false false) (@list @t379 @t375 @t377))) % 150.78/151.11 ) % 150.78/151.11 % SZS output end Proof % 150.78/151.11 % cvc5 exiting %------------------------------------------------------------------------------