%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO437^1 : 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 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO437^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n027.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:07:36 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.44/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.66 % SZS status Theorem % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-sort tptp.mu 0) % 0.44/0.66 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.q (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.r (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.p (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.66 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.44/0.66 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.66 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.66 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.66 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.66 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.44/0.66 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.66 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.66 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.66 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.66 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.66 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.66 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.44/0.66 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.66 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.66 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.66 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.66 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.44/0.66 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.44/0.66 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.44/0.66 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.44/0.66 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.44/0.66 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.44/0.66 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.44/0.66 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.66 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.66 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.44/0.66 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.44/0.66 (define @t1 () (_ tptp.mimplies (_ tptp.mbox_s4 (_ (_ tptp.mequiv tptp.p) tptp.q)))) % 0.44/0.66 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ @t1 tptp.r))) (_ tptp.mbox_s4 (_ @t1 (_ tptp.mbox_s4 tptp.r))))))) % 0.44/0.66 (define @t3 () (@var "Y" tptp.mu)) % 0.44/0.66 (define @t4 () (@var "X" tptp.mu)) % 0.44/0.66 (define @t5 () (@var "W" $$unsorted)) % 0.44/0.66 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.44/0.66 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.66 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.66 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.44/0.66 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.66 (define @t11 () (_ @t10 @t5)) % 0.44/0.66 (define @t12 () (not @t11)) % 0.44/0.66 (define @t13 () (@list @t10 @t5)) % 0.44/0.66 (define @t14 () (lambda @t13 @t12)) % 0.44/0.66 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.66 (define @t16 () (_ @t15 @t5)) % 0.44/0.66 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.44/0.66 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.66 (define @t19 () (_ tptp.mnot @t15)) % 0.44/0.66 (define @t20 () (_ tptp.mnot @t10)) % 0.44/0.66 (define @t21 () (_ tptp.mor @t20)) % 0.44/0.66 (define @t22 () (@list @t10 @t15 @t18)) % 0.44/0.66 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.44/0.66 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.44/0.66 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.44/0.66 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.44/0.66 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.44/0.66 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.66 (define @t29 () (_ @t28 @t4)) % 0.44/0.66 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.44/0.66 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.66 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.66 (define @t33 () (_ @t32 @t31)) % 0.44/0.66 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.44/0.66 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.44/0.66 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.44/0.66 (define @t37 () (@list @t5)) % 0.44/0.66 (define @t38 () (lambda @t37 true)) % 0.44/0.66 (define @t39 () (@var "V" $$unsorted)) % 0.44/0.66 (define @t40 () (_ @t10 @t39)) % 0.44/0.66 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.66 (define @t42 () (@list @t39)) % 0.44/0.66 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.44/0.66 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.44/0.66 (define @t45 () (@var "S" $$unsorted)) % 0.44/0.66 (define @t46 () (_ @t41 @t45)) % 0.44/0.66 (define @t47 () (@list @t45)) % 0.44/0.66 (define @t48 () (@list @t41)) % 0.44/0.66 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.44/0.66 (define @t50 () (@var "T" $$unsorted)) % 0.44/0.66 (define @t51 () (_ @t41 @t50)) % 0.44/0.66 (define @t52 () (_ @t46 @t50)) % 0.44/0.66 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.44/0.66 (define @t54 () (@list @t50)) % 0.44/0.66 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.44/0.66 (define @t56 () (@var "U" $$unsorted)) % 0.44/0.66 (define @t57 () (_ @t46 @t56)) % 0.44/0.66 (define @t58 () (_ @t51 @t56)) % 0.44/0.66 (define @t59 () (and @t52 @t58)) % 0.44/0.66 (define @t60 () (@list @t45 @t50 @t56)) % 0.44/0.66 (define @t61 () (forall @t60 (=> @t59 @t57))) % 0.44/0.66 (define @t62 () (lambda @t48 @t61)) % 0.44/0.66 (define @t63 () (and @t52 @t57)) % 0.44/0.66 (define @t64 () (lambda @t48 (forall @t60 (=> @t63 @t58)))) % 0.44/0.66 (define @t65 () (= @t50 @t56)) % 0.44/0.66 (define @t66 () (lambda @t48 (forall @t60 (=> @t63 @t65)))) % 0.44/0.66 (define @t67 () (@list @t56)) % 0.44/0.66 (define @t68 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t67 (=> @t57 @t65))))))) % 0.44/0.66 (define @t69 () (_ @t41 @t56)) % 0.44/0.66 (define @t70 () (_ @t69 @t50)) % 0.44/0.66 (define @t71 () (lambda @t48 (forall @t60 (=> @t52 (exists @t67 (and @t57 @t70)))))) % 0.44/0.66 (define @t72 () (lambda @t48 (forall @t60 (=> @t63 (or @t58 @t65 @t70))))) % 0.44/0.66 (define @t73 () (lambda @t48 (forall @t60 (=> @t63 (exists @t42 (and (_ @t51 @t39) (_ @t69 @t39))))))) % 0.44/0.66 (define @t74 () (forall @t37 @t11)) % 0.44/0.66 (define @t75 () (@list @t10)) % 0.44/0.66 (define @t76 () (lambda @t75 @t74)) % 0.44/0.66 (define @t77 () (lambda @t75 (forall @t37 @t12))) % 0.44/0.66 (define @t78 () (lambda @t75 (exists @t37 @t11))) % 0.44/0.66 (define @t79 () (lambda @t75 (exists @t37 @t12))) % 0.44/0.66 (define @t80 () (_ (_ tptp.rel_s4 @t5) @t39)) % 0.44/0.66 (define @t81 () (not @t80)) % 0.44/0.66 (define @t82 () (or @t81 @t40)) % 0.44/0.66 (define @t83 () (forall @t42 @t82)) % 0.44/0.66 (define @t84 () (lambda @t13 @t83)) % 0.44/0.66 (define @t85 () (lambda (@list @t10 @t18) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t20)) @t18))) % 0.44/0.66 (define @t86 () (@var "BOUND_VARIABLE_8622" $$unsorted)) % 0.44/0.66 (define @t87 () (tptp.r @t86)) % 0.44/0.66 (define @t88 () (@var "BOUND_VARIABLE_8620" $$unsorted)) % 0.44/0.66 (define @t89 () (not (tptp.rel_s4 @t88 @t86))) % 0.44/0.66 (define @t90 () (@var "BOUND_VARIABLE_8562" $$unsorted)) % 0.44/0.66 (define @t91 () (tptp.p @t90)) % 0.44/0.66 (define @t92 () (tptp.q @t90)) % 0.44/0.66 (define @t93 () (and (or (not @t91) @t92) (or (not @t92) @t91))) % 0.44/0.66 (define @t94 () (@list @t90)) % 0.44/0.66 (define @t95 () (not (forall @t94 (or (not (tptp.rel_s4 @t88 @t90)) @t93)))) % 0.44/0.66 (define @t96 () (not (tptp.rel_s4 @t5 @t88))) % 0.44/0.66 (define @t97 () (tptp.r @t39)) % 0.44/0.66 (define @t98 () (@var "BOUND_VARIABLE_8496" $$unsorted)) % 0.44/0.66 (define @t99 () (tptp.p @t98)) % 0.44/0.66 (define @t100 () (tptp.q @t98)) % 0.44/0.66 (define @t101 () (and (or (not @t99) @t100) (or (not @t100) @t99))) % 0.44/0.66 (define @t102 () (@list @t98)) % 0.44/0.66 (define @t103 () (not (forall @t102 (or (not (tptp.rel_s4 @t39 @t98)) @t101)))) % 0.44/0.66 (define @t104 () (tptp.rel_s4 @t5 @t39)) % 0.44/0.66 (define @t105 () (not @t104)) % 0.44/0.66 (define @t106 () (forall @t42 (or @t105 @t103 @t97))) % 0.44/0.66 (define @t107 () (not @t106)) % 0.44/0.66 (define @t108 () (or @t107 @t96 @t95 @t89 @t87)) % 0.44/0.66 (define @t109 () (or @t96 @t95 @t89 @t87)) % 0.44/0.66 (define @t110 () (or @t107 @t109)) % 0.44/0.66 (define @t111 () (@list @t5 @t88 @t86)) % 0.44/0.66 (define @t112 () (forall @t111 @t110)) % 0.44/0.66 (define @t113 () (@list @t88 @t86)) % 0.44/0.66 (define @t114 () (forall @t113 @t110)) % 0.44/0.66 (define @t115 () (forall @t113 @t109)) % 0.44/0.66 (define @t116 () (@var "BOUND_VARIABLE_8593" $$unsorted)) % 0.44/0.66 (define @t117 () (or @t107 @t115)) % 0.44/0.66 (define @t118 () (tptp.r @t116)) % 0.44/0.66 (define @t119 () (not (tptp.rel_s4 @t39 @t116))) % 0.44/0.66 (define @t120 () (not (forall @t94 (or (not (tptp.rel_s4 @t39 @t90)) @t93)))) % 0.44/0.66 (define @t121 () (or @t105 @t120 @t119 @t118)) % 0.44/0.66 (define @t122 () (@list @t39 @t116)) % 0.44/0.66 (define @t123 () (forall @t122 @t121)) % 0.44/0.66 (define @t124 () (or @t107 @t123)) % 0.44/0.66 (define @t125 () (not (tptp.rel_s4 @t18 @t39))) % 0.44/0.66 (define @t126 () (forall @t122 (or @t125 @t120 @t119 @t118))) % 0.44/0.66 (define @t127 () (forall @t42 (or @t125 @t103 @t97))) % 0.44/0.66 (define @t128 () (not @t127)) % 0.44/0.66 (define @t129 () (@list @t18)) % 0.44/0.66 (define @t130 () (lambda @t129 (or @t128 @t126))) % 0.44/0.66 (define @t131 () (_ @t130 @t5)) % 0.44/0.66 (define @t132 () (forall @t37 @t131)) % 0.44/0.66 (define @t133 () (_ @t10 @t5)) % 0.44/0.66 (define @t134 () (lambda @t75 (forall @t37 @t133))) % 0.44/0.66 (define @t135 () (lambda @t37 @t123)) % 0.44/0.66 (define @t136 () (_ @t135 @t18)) % 0.44/0.66 (define @t137 () (or @t128 @t136)) % 0.44/0.66 (define @t138 () (lambda @t129 @t137)) % 0.44/0.66 (define @t139 () (_ @t15 @t18)) % 0.44/0.66 (define @t140 () (@list @t15 @t18)) % 0.44/0.66 (define @t141 () (or @t119 @t118)) % 0.44/0.66 (define @t142 () (or @t105 @t120 @t141)) % 0.44/0.66 (define @t143 () (forall @t122 @t142)) % 0.44/0.66 (define @t144 () (@list @t116)) % 0.44/0.66 (define @t145 () (forall @t144 @t142)) % 0.44/0.66 (define @t146 () (forall @t144 @t141)) % 0.44/0.66 (define @t147 () (@var "BOUND_VARIABLE_8554" $$unsorted)) % 0.44/0.66 (define @t148 () (@list @t147)) % 0.44/0.66 (define @t149 () (or @t105 @t120 @t146)) % 0.44/0.66 (define @t150 () (tptp.r @t147)) % 0.44/0.66 (define @t151 () (@list @t147)) % 0.44/0.66 (define @t152 () (forall @t151 (or (not (tptp.rel_s4 @t39 @t147)) @t150))) % 0.44/0.66 (define @t153 () (or @t105 @t120 @t152)) % 0.44/0.66 (define @t154 () (or @t120 @t152)) % 0.44/0.66 (define @t155 () (forall @t42 (or @t125 @t97))) % 0.44/0.66 (define @t156 () (@list @t39)) % 0.44/0.66 (define @t157 () (tptp.p @t39)) % 0.44/0.66 (define @t158 () (tptp.q @t39)) % 0.44/0.66 (define @t159 () (and (or (not @t157) @t158) (or (not @t158) @t157))) % 0.44/0.66 (define @t160 () (forall @t42 (or @t125 @t159))) % 0.44/0.66 (define @t161 () (not @t160)) % 0.44/0.66 (define @t162 () (or @t161 @t155)) % 0.44/0.66 (define @t163 () (lambda @t129 @t162)) % 0.44/0.66 (define @t164 () (or @t105 (_ @t163 @t39))) % 0.44/0.66 (define @t165 () (forall @t42 @t164)) % 0.44/0.66 (define @t166 () (lambda @t37 @t165)) % 0.44/0.66 (define @t167 () (_ @t10 @t39)) % 0.44/0.66 (define @t168 () (lambda @t13 (forall @t42 (or @t105 @t167)))) % 0.44/0.66 (define @t169 () (lambda @t37 (forall @t42 (or @t105 @t97)))) % 0.44/0.66 (define @t170 () (_ @t169 @t18)) % 0.44/0.66 (define @t171 () (or @t161 @t170)) % 0.44/0.66 (define @t172 () (lambda @t129 @t171)) % 0.44/0.66 (define @t173 () (lambda @t140 (or @t161 @t139))) % 0.44/0.66 (define @t174 () (_ @t168 tptp.r)) % 0.44/0.66 (define @t175 () (lambda @t37 (forall @t42 (or @t105 @t159)))) % 0.44/0.66 (define @t176 () (_ @t175 @t18)) % 0.44/0.66 (define @t177 () (not @t176)) % 0.44/0.66 (define @t178 () (or @t177 @t139)) % 0.44/0.66 (define @t179 () (lambda @t140 @t178)) % 0.44/0.66 (define @t180 () (_ @t10 @t18)) % 0.44/0.66 (define @t181 () (not @t180)) % 0.44/0.66 (define @t182 () (or @t181 @t139)) % 0.44/0.66 (define @t183 () (lambda @t22 @t182)) % 0.44/0.66 (define @t184 () (_ tptp.p @t39)) % 0.44/0.66 (define @t185 () (_ tptp.q @t39)) % 0.44/0.66 (define @t186 () (not @t185)) % 0.44/0.66 (define @t187 () (or @t186 @t184)) % 0.44/0.66 (define @t188 () (not @t184)) % 0.44/0.66 (define @t189 () (or @t188 @t185)) % 0.44/0.66 (define @t190 () (and @t189 @t187)) % 0.44/0.66 (define @t191 () (or @t105 @t190)) % 0.44/0.66 (define @t192 () (not @t187)) % 0.44/0.66 (define @t193 () (not @t189)) % 0.44/0.66 (define @t194 () (not (or @t193 @t192))) % 0.44/0.66 (define @t195 () (or @t105 @t194)) % 0.44/0.66 (define @t196 () (_ tptp.p @t18)) % 0.44/0.66 (define @t197 () (_ tptp.q @t18)) % 0.44/0.66 (define @t198 () (not @t196)) % 0.44/0.66 (define @t199 () (lambda @t129 (not (or (not (or @t198 @t197)) (not (or (not @t197) @t196)))))) % 0.44/0.66 (define @t200 () (_ @t199 @t39)) % 0.44/0.66 (define @t201 () (or @t105 @t200)) % 0.44/0.66 (define @t202 () (forall @t42 @t201)) % 0.44/0.66 (define @t203 () (lambda @t37 @t202)) % 0.44/0.66 (define @t204 () (not @t139)) % 0.44/0.66 (define @t205 () (lambda @t140 (not (or (not (or @t198 @t139)) (not (or @t204 @t196)))))) % 0.44/0.66 (define @t206 () (or @t204 @t180)) % 0.44/0.66 (define @t207 () (not @t182)) % 0.44/0.66 (define @t208 () (not (or @t207 (not @t206)))) % 0.44/0.66 (define @t209 () (_ (lambda @t22 @t208) tptp.p)) % 0.44/0.66 (define @t210 () (lambda @t37 @t106)) % 0.44/0.66 (define @t211 () (_ @t210 @t18)) % 0.44/0.66 (define @t212 () (not @t211)) % 0.44/0.66 (define @t213 () (or @t212 @t139)) % 0.44/0.66 (define @t214 () (lambda @t140 @t213)) % 0.44/0.66 (define @t215 () (_ tptp.r @t39)) % 0.44/0.66 (define @t216 () (or @t105 @t103 @t215)) % 0.44/0.66 (define @t217 () (or @t103 @t215)) % 0.44/0.66 (define @t218 () (_ tptp.r @t18)) % 0.44/0.66 (define @t219 () (or @t161 @t218)) % 0.44/0.66 (define @t220 () (lambda @t129 @t219)) % 0.44/0.66 (define @t221 () (or @t105 (_ @t220 @t39))) % 0.44/0.66 (define @t222 () (forall @t42 @t221)) % 0.44/0.66 (define @t223 () (lambda @t37 @t222)) % 0.44/0.66 (define @t224 () (_ @t183 (_ @t168 (_ @t209 tptp.q)))) % 0.44/0.66 (define @t225 () (lambda @t129 @t206)) % 0.44/0.66 (define @t226 () (_ @t225 @t18)) % 0.44/0.66 (define @t227 () (not @t226)) % 0.44/0.66 (define @t228 () (or @t207 @t227)) % 0.44/0.66 (define @t229 () (not @t228)) % 0.44/0.66 (define @t230 () (lambda @t129 @t229)) % 0.44/0.66 (define @t231 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.44/0.66 (define @t232 () (not (_ @t231 @t18))) % 0.44/0.66 (define @t233 () (@list @t231 @t18)) % 0.44/0.66 (define @t234 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.44/0.66 (define @t235 () (_ @t234 @t18)) % 0.44/0.66 (define @t236 () (lambda (@list @t234 @t18) (or @t204 @t235))) % 0.44/0.66 (define @t237 () (@list @t15)) % 0.44/0.66 (define @t238 () (lambda @t129 @t182)) % 0.44/0.66 (define @t239 () (_ @t238 @t18)) % 0.44/0.66 (define @t240 () (not @t239)) % 0.44/0.66 (define @t241 () (or @t240 @t232)) % 0.44/0.66 (define @t242 () (not @t241)) % 0.44/0.66 (define @t243 () (lambda @t233 @t242)) % 0.44/0.66 (define @t244 () (not (or @t181 @t204))) % 0.44/0.66 (define @t245 () (lambda @t22 @t244)) % 0.44/0.66 (define @t246 () (lambda @t140 @t182)) % 0.44/0.66 (define @t247 () (or @t12 @t16)) % 0.44/0.66 (define @t248 () (lambda @t37 @t247)) % 0.44/0.66 (define @t249 () (@list @t15 @t5)) % 0.44/0.66 (define @t250 () (lambda @t249 @t247)) % 0.44/0.66 (define @t251 () (lambda @t37 @t12)) % 0.44/0.66 (define @t252 () (_ @t251 @t5)) % 0.44/0.66 (define @t253 () (or @t252 @t16)) % 0.44/0.66 (define @t254 () (lambda @t249 @t253)) % 0.44/0.66 (define @t255 () (not @t16)) % 0.44/0.66 (define @t256 () (or @t12 @t255)) % 0.44/0.66 (define @t257 () (lambda @t37 @t256)) % 0.44/0.66 (define @t258 () (_ @t257 @t5)) % 0.44/0.66 (define @t259 () (not @t258)) % 0.44/0.66 (define @t260 () (lambda @t37 @t259)) % 0.44/0.66 (define @t261 () (lambda @t37 @t255)) % 0.44/0.66 (define @t262 () (_ @t261 @t5)) % 0.44/0.66 (define @t263 () (or @t12 @t262)) % 0.44/0.66 (define @t264 () (lambda @t37 @t263)) % 0.44/0.66 (define @t265 () (forall @t111 @t108)) % 0.44/0.66 (define @t266 () (@quantifiers_skolemize @t265 0)) % 0.44/0.66 (define @t267 () (forall @t42 (or (not (tptp.rel_s4 @t266 @t39)) @t103 @t97))) % 0.44/0.66 (define @t268 () (@quantifiers_skolemize @t265 2)) % 0.44/0.66 (define @t269 () (tptp.r @t268)) % 0.44/0.66 (define @t270 () (@quantifiers_skolemize @t265 1)) % 0.44/0.66 (define @t271 () (tptp.rel_s4 @t270 @t268)) % 0.44/0.66 (define @t272 () (not @t271)) % 0.44/0.66 (define @t273 () (forall @t94 (or (not (tptp.rel_s4 @t270 @t90)) @t93))) % 0.44/0.66 (define @t274 () (not @t273)) % 0.44/0.66 (define @t275 () (tptp.rel_s4 @t266 @t270)) % 0.44/0.66 (define @t276 () (not @t275)) % 0.44/0.66 (define @t277 () (not @t267)) % 0.44/0.66 (define @t278 () (or @t277 @t276 @t274 @t272 @t269)) % 0.44/0.66 (define @t279 () (@list true)) % 0.44/0.66 (define @t280 () (@list @t278)) % 0.44/0.66 (define @t281 () (_ @t41 @t45 @t56)) % 0.44/0.66 (define @t282 () (_ @t41 @t50 @t56)) % 0.44/0.66 (define @t283 () (_ @t41 @t45 @t50)) % 0.44/0.66 (define @t284 () (not @t58)) % 0.44/0.66 (define @t285 () (not @t52)) % 0.44/0.66 (define @t286 () (or @t285 @t284 @t57)) % 0.44/0.66 (define @t287 () (tptp.rel_s4 @t266 @t268)) % 0.44/0.66 (define @t288 () (or @t276 @t272 @t287)) % 0.44/0.66 (define @t289 () (@list false false false)) % 0.44/0.66 (define @t290 () (forall @t102 (or (not (tptp.rel_s4 @t268 @t98)) @t101))) % 0.44/0.66 (define @t291 () (not @t290)) % 0.44/0.66 (define @t292 () (not @t287)) % 0.44/0.66 (define @t293 () (or @t292 @t291 @t269)) % 0.44/0.66 (define @t294 () (@quantifiers_skolemize @t290 0)) % 0.44/0.66 (define @t295 () (tptp.p @t294)) % 0.44/0.66 (define @t296 () (tptp.q @t294)) % 0.44/0.66 (define @t297 () (and (or (not @t295) @t296) (or (not @t296) @t295))) % 0.44/0.66 (define @t298 () (tptp.rel_s4 @t268 @t294)) % 0.44/0.66 (define @t299 () (not @t298)) % 0.44/0.66 (define @t300 () (or @t299 @t297)) % 0.44/0.66 (define @t301 () (@list @t300)) % 0.44/0.66 (define @t302 () (tptp.rel_s4 @t270 @t294)) % 0.44/0.66 (define @t303 () (or @t272 @t299 @t302)) % 0.44/0.66 (define @t304 () (not @t302)) % 0.44/0.66 (define @t305 () (or @t304 @t297)) % 0.44/0.66 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.66 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.44/0.66 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.44/0.66 (assume @p4 @t2) % 0.44/0.66 (assume @p5 true) % 0.44/0.66 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.44/0.66 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.44/0.66 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.44/0.66 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.44/0.66 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.44/0.66 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.44/0.66 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.44/0.66 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.44/0.66 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.44/0.66 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.44/0.66 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.44/0.66 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.44/0.66 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.44/0.66 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.44/0.66 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.44/0.66 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.44/0.66 (step @p22 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.44/0.66 (step @p23 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.44/0.66 (step @p24 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.44/0.66 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.44/0.66 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.44/0.66 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.44/0.66 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.44/0.66 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.44/0.66 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.44/0.66 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.44/0.66 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.44/0.66 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.44/0.66 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.44/0.66 (step @p35 (= 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(@p301 @p215)) % 0.44/0.66 (step @p303 :rule trans :premises (@p302 @p284)) % 0.44/0.66 (step @p304 :rule ho_cong :premises (@p8 @p246)) % 0.44/0.66 (step @p305 :rule ho_cong :premises (@p274 @p304)) % 0.44/0.66 (step @p306 :rule ho_cong :premises (@p8 @p305)) % 0.44/0.66 (step @p307 :rule ho_cong :premises (@p306 @p215)) % 0.44/0.66 (step @p308 :rule trans :premises (@p307 @p303)) % 0.44/0.66 (step @p309 :rule cong :premises (@p308) :args (@t23)) % 0.44/0.66 (step @p310 :rule trans :premises (@p10 @p309)) % 0.44/0.66 (step @p311 :rule ho_cong :premises (@p310 @p283)) % 0.44/0.66 (step @p312 :rule ho_cong :premises (@p311 @p281)) % 0.44/0.66 (step @p313 :rule ho_cong :premises (@p312 @p215)) % 0.44/0.66 (step @p314 :rule trans :premises (@p313 @p256)) % 0.44/0.66 (step @p315 :rule cong :premises (@p314) :args (@t26)) % 0.44/0.66 (step @p316 :rule trans :premises (@p13 @p315)) % 0.44/0.66 (step @p317 :rule ho_cong :premises (@p316 @p213)) % 0.44/0.66 (step @p318 :rule ho_cong :premises (@p317 @p139)) % 0.44/0.66 (step @p319 :rule ho_cong :premises (@p211 @p318)) % 0.44/0.66 (step @p320 :rule ho_cong :premises (@p279 @p319)) % 0.44/0.66 (step @p321 :rule ho_cong :premises (@p320 @p212)) % 0.44/0.66 (step @p322 :rule ho_cong :premises (@p211 @p321)) % 0.44/0.66 (step @p323 :rule ho_cong :premises (@p320 @p184)) % 0.44/0.66 (step @p324 :rule ho_cong :premises (@p211 @p323)) % 0.44/0.66 (step @p325 :rule ho_cong :premises (@p279 @p324)) % 0.44/0.66 (step @p326 :rule ho_cong :premises (@p325 @p322)) % 0.44/0.66 (step @p327 :rule refl :args (@t133)) % 0.44/0.66 (step @p328 :rule refl :args (@t11)) % 0.44/0.66 (step @p329 :rule cong :premises (@p328 @p327) :args ((= @t11 @t133))) % 0.44/0.66 (step @p330 :rule symm :premises (@p329)) % 0.44/0.66 (step @p331 :rule eq_resolve :premises (@p328 @p330)) % 0.44/0.66 (step @p332 :rule cong :premises (@p331) :args (@t74)) % 0.44/0.66 (step @p333 :rule cong :premises (@p332) :args (@t76)) % 0.44/0.66 (step @p334 :rule trans :premises (@p32 @p333)) % 0.44/0.66 (step @p335 :rule ho_cong :premises (@p334 @p326)) % 0.44/0.66 (step @p336 :rule cong :premises (@p335) :args (@t2)) % 0.44/0.66 (step @p337 :rule trans :premises (@p336 @p196)) % 0.44/0.66 (step @p338 :rule eq_resolve :premises (@p4 @p337)) % 0.44/0.66 (step @p339 :rule skolemize :premises (@p338)) % 0.44/0.66 (step @p340 :rule bool-double-not-elim :args (@t267)) % 0.44/0.66 (step @p341 :rule refl :args (@t278)) % 0.44/0.66 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t278 (not @t277)))) % 0.44/0.66 (step @p343 :rule cnf_or_neg :args (@t278 0)) % 0.44/0.66 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.44/0.66 (step @p345 :rule reordering :premises (@p344) :args ((or @t267 @t278))) % 0.44/0.66 (step @p346 :rule chain_m_resolution :premises (@p345 @p339) :args (@t267 @t279 @t280)) % 0.44/0.66 (step @p347 :rule instantiate :premises (@p346) :args ((@list @t268))) % 0.44/0.66 (step @p348 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t60 (or (not @t283) (not @t282) @t281))) tptp.rel_s4) (forall @t60 (or (not (tptp.rel_s4 @t45 @t50)) (not (tptp.rel_s4 @t50 @t56)) (tptp.rel_s4 @t45 @t56)))))) % 0.44/0.66 (step @p349 :rule refl :args (tptp.rel_s4)) % 0.44/0.66 (step @p350 :rule refl :args (@t281)) % 0.44/0.66 (step @p351 :rule refl :args (@t57)) % 0.44/0.66 (step @p352 :rule cong :premises (@p351 @p350) :args ((= @t57 @t281))) % 0.44/0.66 (step @p353 :rule symm :premises (@p352)) % 0.44/0.66 (step @p354 :rule eq_resolve :premises (@p351 @p353)) % 0.44/0.66 (step @p355 :rule refl :args (@t282)) % 0.44/0.66 (step @p356 :rule refl :args (@t58)) % 0.44/0.66 (step @p357 :rule cong :premises (@p356 @p355) :args ((= @t58 @t282))) % 0.44/0.66 (step @p358 :rule symm :premises (@p357)) % 0.44/0.66 (step @p359 :rule eq_resolve :premises (@p356 @p358)) % 0.44/0.66 (step @p360 :rule cong :premises (@p359) :args (@t284)) % 0.44/0.66 (step @p361 :rule refl :args (@t283)) % 0.44/0.66 (step @p362 :rule refl :args (@t52)) % 0.44/0.66 (step @p363 :rule cong :premises (@p362 @p361) :args ((= @t52 @t283))) % 0.44/0.66 (step @p364 :rule symm :premises (@p363)) % 0.44/0.66 (step @p365 :rule eq_resolve :premises (@p362 @p364)) % 0.44/0.66 (step @p366 :rule cong :premises (@p365) :args (@t285)) % 0.44/0.66 (step @p367 :rule nary_cong :premises (@p366 @p360 @p354) :args (@t286)) % 0.44/0.66 (step @p368 :rule cong :premises (@p367) :args ((forall @t60 @t286))) % 0.44/0.66 (step @p369 :rule aci_norm :args ((= (or (or @t285 @t284) @t57) @t286))) % 0.44/0.66 (step @p370 :rule bool-and-de-morgan :args (@t52 @t58 true)) % 0.44/0.66 (step @p371 :rule nary_cong :premises (@p370 @p351) :args ((or (not @t59) @t57))) % 0.44/0.66 (step @p372 :rule trans :premises (@p371 @p369)) % 0.44/0.66 (step @p373 :rule bool-impl-elim :args (@t59 @t57)) % 0.44/0.66 (step @p374 :rule trans :premises (@p373 @p372)) % 0.44/0.66 (step @p375 :rule cong :premises (@p374) :args (@t61)) % 0.44/0.66 (step @p376 :rule trans :premises (@p375 @p368)) % 0.44/0.66 (step @p377 :rule cong :premises (@p376) :args (@t62)) % 0.44/0.66 (step @p378 :rule trans :premises (@p25 @p377)) % 0.44/0.66 (step @p379 :rule ho_cong :premises (@p378 @p349)) % 0.44/0.66 (step @p380 :rule trans :premises (@p379 @p348)) % 0.44/0.66 (step @p381 :rule eq_resolve :premises (@p3 @p380)) % 0.44/0.66 (step @p382 :rule instantiate :premises (@p381) :args ((@list @t266 @t270 @t268))) % 0.44/0.66 (step @p383 :rule bool-double-not-elim :args (@t271)) % 0.44/0.66 (step @p384 :rule nary_cong :premises (@p341 @p383) :args ((or @t278 (not @t272)))) % 0.44/0.66 (step @p385 :rule cnf_or_neg :args (@t278 3)) % 0.44/0.66 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.44/0.66 (step @p387 :rule reordering :premises (@p386) :args ((or @t271 @t278))) % 0.44/0.66 (step @p388 :rule chain_m_resolution :premises (@p387 @p339) :args (@t271 @t279 @t280)) % 0.44/0.66 (step @p389 :rule bool-double-not-elim :args (@t275)) % 0.44/0.66 (step @p390 :rule nary_cong :premises (@p341 @p389) :args ((or @t278 (not @t276)))) % 0.44/0.66 (step @p391 :rule cnf_or_neg :args (@t278 1)) % 0.44/0.66 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 0.44/0.66 (step @p393 :rule reordering :premises (@p392) :args ((or @t275 @t278))) % 0.44/0.66 (step @p394 :rule chain_m_resolution :premises (@p393 @p339) :args (@t275 @t279 @t280)) % 0.44/0.66 (step @p395 :rule cnf_or_pos :args (@t288)) % 0.44/0.66 (step @p396 :rule reordering :premises (@p395) :args ((or @t276 @t272 @t287 (not @t288)))) % 0.44/0.66 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p388 @p382) :args (@t287 @t289 (@list @t275 @t271 @t288))) % 0.44/0.66 (step @p398 :rule cnf_or_neg :args (@t278 4)) % 0.44/0.66 (step @p399 :rule chain_m_resolution :premises (@p398 @p339) :args ((not @t269) @t279 @t280)) % 0.44/0.66 (step @p400 :rule cnf_or_pos :args (@t293)) % 0.44/0.66 (step @p401 :rule reordering :premises (@p400) :args ((or @t269 @t292 @t291 (not @t293)))) % 0.44/0.66 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p397 @p347) :args (@t291 (@list true false false) (@list @t269 @t287 @t293))) % 0.44/0.66 (step @p403 :rule skolemize :premises (@p402)) % 0.44/0.66 (step @p404 :rule cnf_or_neg :args (@t300 1)) % 0.44/0.66 (step @p405 :rule chain_m_resolution :premises (@p404 @p403) :args ((not @t297) @t279 @t301)) % 0.44/0.66 (step @p406 :rule bool-double-not-elim :args (@t273)) % 0.44/0.66 (step @p407 :rule nary_cong :premises (@p341 @p406) :args ((or @t278 (not @t274)))) % 0.44/0.66 (step @p408 :rule cnf_or_neg :args (@t278 2)) % 0.44/0.66 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 0.44/0.66 (step @p410 :rule reordering :premises (@p409) :args ((or @t273 @t278))) % 0.44/0.66 (step @p411 :rule chain_m_resolution :premises (@p410 @p339) :args (@t273 @t279 @t280)) % 0.44/0.66 (step @p412 :rule instantiate :premises (@p411) :args ((@list @t294))) % 0.44/0.66 (step @p413 :rule instantiate :premises (@p381) :args ((@list @t270 @t268 @t294))) % 0.44/0.66 (step @p414 :rule bool-double-not-elim :args (@t298)) % 0.44/0.66 (step @p415 :rule refl :args (@t300)) % 0.44/0.66 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t300 (not @t299)))) % 0.44/0.66 (step @p417 :rule cnf_or_neg :args (@t300 0)) % 0.44/0.66 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 0.44/0.66 (step @p419 :rule reordering :premises (@p418) :args ((or @t298 @t300))) % 0.44/0.66 (step @p420 :rule chain_m_resolution :premises (@p419 @p403) :args (@t298 @t279 @t301)) % 0.44/0.66 (step @p421 :rule cnf_or_pos :args (@t303)) % 0.44/0.66 (step @p422 :rule reordering :premises (@p421) :args ((or @t272 @t299 @t302 (not @t303)))) % 0.44/0.66 (step @p423 :rule chain_m_resolution :premises (@p422 @p388 @p420 @p413) :args (@t302 @t289 (@list @t271 @t298 @t303))) % 0.44/0.66 (step @p424 :rule cnf_or_pos :args (@t305)) % 0.44/0.66 (step @p425 :rule reordering :premises (@p424) :args ((or @t297 @t304 (not @t305)))) % 0.44/0.66 (step @p426 false :rule chain_m_resolution :premises (@p425 @p423 @p412 @p405) :args (false (@list false false true) (@list @t302 @t305 @t297))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------