%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO568^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:13:08 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO568^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:20:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.52 %----Proving TH0 % 0.46/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-sort tptp.mu 0) % 0.46/0.65 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.f (-> tptp.mu $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.a tptp.mu) % 0.46/0.65 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.46/0.65 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.46/0.65 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.46/0.65 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.46/0.65 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.46/0.65 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.46/0.65 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.46/0.65 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.46/0.65 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.46/0.65 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.46/0.65 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.46/0.65 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.46/0.65 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.46/0.65 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.46/0.65 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.46/0.65 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.46/0.65 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.46/0.65 (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)))))))) % 0.46/0.65 (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)))))))) % 0.46/0.65 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.46/0.65 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.46/0.65 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.46/0.65 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.46/0.65 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.46/0.65 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.46/0.65 (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))))))))))))) % 0.46/0.65 (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)))))) % 0.46/0.65 (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)))))) % 0.46/0.65 (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))))))) % 0.46/0.65 (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))))))) % 0.46/0.65 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.46/0.65 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.46/0.65 (define @t1 () (@var "V" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "X" tptp.mu)) % 0.46/0.65 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.46/0.65 (define @t4 () (_ @t3 @t1)) % 0.46/0.65 (define @t5 () (@list @t2)) % 0.46/0.65 (define @t6 () (@list @t1)) % 0.46/0.65 (define @t7 () (@var "W" $$unsorted)) % 0.46/0.65 (define @t8 () (_ @t3 @t7)) % 0.46/0.65 (define @t9 () (_ (_ tptp.exists_in_world tptp.a) @t1)) % 0.46/0.65 (define @t10 () (forall @t6 @t9)) % 0.46/0.65 (define @t11 () (_ tptp.f tptp.a)) % 0.46/0.65 (define @t12 () (@var "__flatten_var_0" $$unsorted)) % 0.46/0.65 (define @t13 () (_ tptp.f @t2)) % 0.46/0.65 (define @t14 () (@list @t2 @t12)) % 0.46/0.65 (define @t15 () (lambda @t14 (_ (_ (_ tptp.mor (_ tptp.mbox_s4 @t13)) (_ tptp.mbox_s4 (_ tptp.mnot @t13))) @t12))) % 0.46/0.65 (define @t16 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mforall_ind @t15)) (_ tptp.mbox_s4 (_ (_ tptp.mequiv (_ tptp.mbox_s4 @t11)) @t11)))))) % 0.46/0.65 (define @t17 () (@var "Y" (-> $$unsorted Bool))) % 0.46/0.65 (define @t18 () (@var "X" (-> $$unsorted Bool))) % 0.46/0.65 (define @t19 () (lambda (@list @t18 @t17 @t7) (= (_ @t18 @t7) (_ @t17 @t7)))) % 0.46/0.65 (define @t20 () (@var "Phi" (-> $$unsorted Bool))) % 0.46/0.65 (define @t21 () (_ @t20 @t7)) % 0.46/0.65 (define @t22 () (not @t21)) % 0.46/0.65 (define @t23 () (@list @t20 @t7)) % 0.46/0.65 (define @t24 () (lambda @t23 @t22)) % 0.46/0.65 (define @t25 () (@var "Psi" (-> $$unsorted Bool))) % 0.46/0.65 (define @t26 () (_ @t25 @t7)) % 0.46/0.65 (define @t27 () (lambda (@list @t20 @t25 @t7) (or @t21 @t26))) % 0.46/0.65 (define @t28 () (_ @t20 @t1)) % 0.46/0.65 (define @t29 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.46/0.65 (define @t30 () (lambda (@list @t29 @t20 @t7) (forall @t6 (or (not (_ (_ @t29 @t7) @t1)) @t28)))) % 0.46/0.65 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.46/0.65 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.46/0.65 (define @t33 () (_ @t32 @t31)) % 0.46/0.65 (define @t34 () (lambda (@list @t32 @t7) (forall (@list @t31) (_ @t33 @t7)))) % 0.46/0.65 (define @t35 () (@list @t7)) % 0.46/0.65 (define @t36 () (lambda @t35 true)) % 0.46/0.65 (define @t37 () (_ tptp.mnot @t25)) % 0.46/0.65 (define @t38 () (_ tptp.mnot @t20)) % 0.46/0.65 (define @t39 () (_ tptp.mor @t38)) % 0.46/0.65 (define @t40 () (@list @t20 @t25 @t12)) % 0.46/0.65 (define @t41 () (lambda @t40 (_ (_ tptp.mnot (_ @t39 @t37)) @t12))) % 0.46/0.65 (define @t42 () (lambda @t40 (_ (_ @t39 @t25) @t12))) % 0.46/0.65 (define @t43 () (lambda @t40 (_ (_ (_ tptp.mor @t37) @t20) @t12))) % 0.46/0.65 (define @t44 () (lambda @t40 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t20) @t25)) (_ (_ tptp.mimplies @t25) @t20)) @t12))) % 0.46/0.65 (define @t45 () (lambda @t40 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t20) @t25)) @t12))) % 0.46/0.65 (define @t46 () (lambda (@list @t29 @t20 @t12) (_ (_ tptp.mnot (_ (_ tptp.mbox @t29) @t38)) @t12))) % 0.46/0.65 (define @t47 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.46/0.65 (define @t48 () (_ @t47 @t2)) % 0.46/0.65 (define @t49 () (_ @t48 @t7)) % 0.46/0.65 (define @t50 () (forall @t5 (=> @t8 @t49))) % 0.46/0.65 (define @t51 () (@list @t47 @t7)) % 0.46/0.65 (define @t52 () (lambda @t51 @t50)) % 0.46/0.65 (define @t53 () (lambda (@list @t47 @t12) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t14 (_ (_ tptp.mnot @t48) @t12)))) @t12))) % 0.46/0.65 (define @t54 () (lambda (@list @t32 @t12) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t12) (_ (_ tptp.mnot @t33) @t12)))) @t12))) % 0.46/0.65 (define @t55 () (@var "S" $$unsorted)) % 0.46/0.65 (define @t56 () (_ @t29 @t55)) % 0.46/0.65 (define @t57 () (_ @t56 @t55)) % 0.46/0.65 (define @t58 () (@list @t55)) % 0.46/0.65 (define @t59 () (forall @t58 @t57)) % 0.46/0.65 (define @t60 () (@list @t29)) % 0.46/0.65 (define @t61 () (lambda @t60 @t59)) % 0.46/0.65 (define @t62 () (@var "T" $$unsorted)) % 0.46/0.65 (define @t63 () (_ @t29 @t62)) % 0.46/0.65 (define @t64 () (_ @t56 @t62)) % 0.46/0.65 (define @t65 () (lambda @t60 (forall (@list @t55 @t62) (=> @t64 (_ @t63 @t55))))) % 0.46/0.65 (define @t66 () (@list @t62)) % 0.46/0.65 (define @t67 () (lambda @t60 (forall @t58 (exists @t66 @t64)))) % 0.46/0.65 (define @t68 () (@var "U" $$unsorted)) % 0.46/0.65 (define @t69 () (_ @t56 @t68)) % 0.46/0.65 (define @t70 () (_ @t63 @t68)) % 0.46/0.65 (define @t71 () (and @t64 @t70)) % 0.46/0.65 (define @t72 () (@list @t55 @t62 @t68)) % 0.46/0.65 (define @t73 () (forall @t72 (=> @t71 @t69))) % 0.46/0.65 (define @t74 () (lambda @t60 @t73)) % 0.46/0.65 (define @t75 () (and @t64 @t69)) % 0.46/0.65 (define @t76 () (lambda @t60 (forall @t72 (=> @t75 @t70)))) % 0.46/0.65 (define @t77 () (= @t62 @t68)) % 0.46/0.65 (define @t78 () (lambda @t60 (forall @t72 (=> @t75 @t77)))) % 0.46/0.65 (define @t79 () (@list @t68)) % 0.46/0.65 (define @t80 () (lambda @t60 (forall @t58 (exists @t66 (and @t64 (forall @t79 (=> @t69 @t77))))))) % 0.46/0.65 (define @t81 () (_ @t29 @t68)) % 0.46/0.65 (define @t82 () (_ @t81 @t62)) % 0.46/0.65 (define @t83 () (lambda @t60 (forall @t72 (=> @t64 (exists @t79 (and @t69 @t82)))))) % 0.46/0.65 (define @t84 () (lambda @t60 (forall @t72 (=> @t75 (or @t70 @t77 @t82))))) % 0.46/0.65 (define @t85 () (lambda @t60 (forall @t72 (=> @t75 (exists @t6 (and (_ @t63 @t1) (_ @t81 @t1))))))) % 0.46/0.65 (define @t86 () (forall @t35 @t21)) % 0.46/0.65 (define @t87 () (@list @t20)) % 0.46/0.65 (define @t88 () (lambda @t87 @t86)) % 0.46/0.65 (define @t89 () (lambda @t87 (exists @t35 @t21))) % 0.46/0.65 (define @t90 () (lambda @t87 (exists @t35 @t22))) % 0.46/0.65 (define @t91 () (lambda @t87 (forall @t35 @t22))) % 0.46/0.65 (define @t92 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.46/0.65 (define @t93 () (not @t92)) % 0.46/0.65 (define @t94 () (or @t93 @t28)) % 0.46/0.65 (define @t95 () (forall @t6 @t94)) % 0.46/0.65 (define @t96 () (lambda @t23 @t95)) % 0.46/0.65 (define @t97 () (lambda (@list @t20 @t12) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t38)) @t12))) % 0.46/0.65 (define @t98 () (tptp.exists_in_world tptp.a @t1)) % 0.46/0.65 (define @t99 () (@var "BOUND_VARIABLE_8682" $$unsorted)) % 0.46/0.65 (define @t100 () (@var "BOUND_VARIABLE_8680" $$unsorted)) % 0.46/0.65 (define @t101 () (tptp.f tptp.a @t100)) % 0.46/0.65 (define @t102 () (@var "BOUND_VARIABLE_8609" $$unsorted)) % 0.46/0.65 (define @t103 () (tptp.f tptp.a @t102)) % 0.46/0.65 (define @t104 () (@list @t102)) % 0.46/0.65 (define @t105 () (and (or (not (forall @t104 (or (not (tptp.rel_s4 @t100 @t102)) @t103))) @t101) (or (not @t101) (not (tptp.rel_s4 @t100 @t99)) (tptp.f tptp.a @t99)))) % 0.46/0.65 (define @t106 () (not (tptp.rel_s4 @t7 @t100))) % 0.46/0.65 (define @t107 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 0.46/0.65 (define @t108 () (not (tptp.f @t2 @t107))) % 0.46/0.65 (define @t109 () (not (tptp.rel_s4 @t7 @t107))) % 0.46/0.65 (define @t110 () (@var "BOUND_VARIABLE_8529" $$unsorted)) % 0.46/0.65 (define @t111 () (tptp.f @t2 @t110)) % 0.46/0.65 (define @t112 () (not (tptp.rel_s4 @t7 @t110))) % 0.46/0.65 (define @t113 () (tptp.exists_in_world @t2 @t7)) % 0.46/0.65 (define @t114 () (not @t113)) % 0.46/0.65 (define @t115 () (or @t114 @t112 @t111 @t109 @t108)) % 0.46/0.65 (define @t116 () (@list @t2 @t110 @t107)) % 0.46/0.65 (define @t117 () (forall @t116 @t115)) % 0.46/0.65 (define @t118 () (not @t117)) % 0.46/0.65 (define @t119 () (or @t118 @t106 @t105)) % 0.46/0.65 (define @t120 () (or @t106 @t105)) % 0.46/0.65 (define @t121 () (or @t118 @t120)) % 0.46/0.65 (define @t122 () (@list @t7 @t100 @t99)) % 0.46/0.65 (define @t123 () (forall @t122 @t121)) % 0.46/0.65 (define @t124 () (@list @t100 @t99)) % 0.46/0.65 (define @t125 () (forall @t124 @t121)) % 0.46/0.65 (define @t126 () (forall @t124 @t120)) % 0.46/0.65 (define @t127 () (@var "BOUND_VARIABLE_8649" $$unsorted)) % 0.46/0.65 (define @t128 () (or @t118 @t126)) % 0.46/0.65 (define @t129 () (tptp.f tptp.a @t127)) % 0.46/0.65 (define @t130 () (not (tptp.rel_s4 @t1 @t127))) % 0.46/0.65 (define @t131 () (tptp.f tptp.a @t1)) % 0.46/0.65 (define @t132 () (not @t131)) % 0.46/0.65 (define @t133 () (or @t132 @t130 @t129)) % 0.46/0.65 (define @t134 () (forall @t104 (or (not (tptp.rel_s4 @t1 @t102)) @t103))) % 0.46/0.65 (define @t135 () (not @t134)) % 0.46/0.65 (define @t136 () (or @t135 @t131)) % 0.46/0.65 (define @t137 () (and @t136 @t133)) % 0.46/0.65 (define @t138 () (tptp.rel_s4 @t7 @t1)) % 0.46/0.65 (define @t139 () (not @t138)) % 0.46/0.65 (define @t140 () (@list @t1 @t127)) % 0.46/0.65 (define @t141 () (forall @t140 (or @t139 @t137))) % 0.46/0.65 (define @t142 () (or @t118 @t141)) % 0.46/0.65 (define @t143 () (not (tptp.rel_s4 @t12 @t1))) % 0.46/0.65 (define @t144 () (forall @t140 (or @t143 @t137))) % 0.46/0.65 (define @t145 () (forall @t116 (or (not (tptp.exists_in_world @t2 @t12)) (not (tptp.rel_s4 @t12 @t110)) @t111 (not (tptp.rel_s4 @t12 @t107)) @t108))) % 0.46/0.65 (define @t146 () (not @t145)) % 0.46/0.65 (define @t147 () (@list @t12)) % 0.46/0.65 (define @t148 () (lambda @t147 (or @t146 @t144))) % 0.46/0.65 (define @t149 () (_ @t148 @t7)) % 0.46/0.65 (define @t150 () (forall @t35 @t149)) % 0.46/0.65 (define @t151 () (_ @t20 @t7)) % 0.46/0.65 (define @t152 () (lambda @t87 (forall @t35 @t151))) % 0.46/0.65 (define @t153 () (lambda @t35 @t141)) % 0.46/0.65 (define @t154 () (_ @t153 @t12)) % 0.46/0.65 (define @t155 () (or @t146 @t154)) % 0.46/0.65 (define @t156 () (lambda @t147 @t155)) % 0.46/0.65 (define @t157 () (_ @t25 @t12)) % 0.46/0.65 (define @t158 () (@list @t25 @t12)) % 0.46/0.65 (define @t159 () (or @t130 @t129)) % 0.46/0.65 (define @t160 () (or @t132 @t159)) % 0.46/0.65 (define @t161 () (and @t136 @t160)) % 0.46/0.65 (define @t162 () (or @t139 @t161)) % 0.46/0.65 (define @t163 () (forall @t140 @t162)) % 0.46/0.65 (define @t164 () (@list @t127)) % 0.46/0.65 (define @t165 () (forall @t164 @t162)) % 0.46/0.65 (define @t166 () (forall @t164 @t159)) % 0.46/0.65 (define @t167 () (@list @t102)) % 0.46/0.65 (define @t168 () (or @t132 @t166)) % 0.46/0.65 (define @t169 () (forall @t164 @t160)) % 0.46/0.65 (define @t170 () (forall @t164 @t136)) % 0.46/0.65 (define @t171 () (and @t170 @t169)) % 0.46/0.65 (define @t172 () (forall @t164 @t161)) % 0.46/0.65 (define @t173 () (or @t139 @t172)) % 0.46/0.65 (define @t174 () (_ @t11 @t1)) % 0.46/0.65 (define @t175 () (not @t174)) % 0.46/0.65 (define @t176 () (or @t175 @t134)) % 0.46/0.65 (define @t177 () (or @t135 @t174)) % 0.46/0.65 (define @t178 () (and @t177 @t176)) % 0.46/0.65 (define @t179 () (or @t139 @t178)) % 0.46/0.65 (define @t180 () (not @t176)) % 0.46/0.65 (define @t181 () (not @t177)) % 0.46/0.65 (define @t182 () (not (or @t181 @t180))) % 0.46/0.65 (define @t183 () (or @t139 @t182)) % 0.46/0.65 (define @t184 () (forall @t104 (or (not (tptp.rel_s4 @t12 @t102)) @t103))) % 0.46/0.65 (define @t185 () (_ @t11 @t12)) % 0.46/0.65 (define @t186 () (not @t185)) % 0.46/0.65 (define @t187 () (forall @t6 (or @t143 @t131))) % 0.46/0.65 (define @t188 () (@list @t1)) % 0.46/0.65 (define @t189 () (or @t186 @t187)) % 0.46/0.65 (define @t190 () (not @t189)) % 0.46/0.65 (define @t191 () (not @t187)) % 0.46/0.65 (define @t192 () (or @t191 @t185)) % 0.46/0.65 (define @t193 () (not @t192)) % 0.46/0.65 (define @t194 () (or @t193 @t190)) % 0.46/0.65 (define @t195 () (not @t194)) % 0.46/0.65 (define @t196 () (lambda @t147 @t195)) % 0.46/0.65 (define @t197 () (or @t139 (_ @t196 @t1))) % 0.46/0.65 (define @t198 () (forall @t6 @t197)) % 0.46/0.65 (define @t199 () (lambda @t35 @t198)) % 0.46/0.65 (define @t200 () (_ @t20 @t1)) % 0.46/0.65 (define @t201 () (lambda @t23 (forall @t6 (or @t139 @t200)))) % 0.46/0.65 (define @t202 () (not @t157)) % 0.46/0.65 (define @t203 () (lambda @t35 (forall @t6 (or @t139 @t131)))) % 0.46/0.65 (define @t204 () (_ @t203 @t12)) % 0.46/0.65 (define @t205 () (or @t202 @t204)) % 0.46/0.65 (define @t206 () (not @t205)) % 0.46/0.65 (define @t207 () (not @t204)) % 0.46/0.65 (define @t208 () (or @t207 @t157)) % 0.46/0.65 (define @t209 () (not @t208)) % 0.46/0.65 (define @t210 () (or @t209 @t206)) % 0.46/0.65 (define @t211 () (not @t210)) % 0.46/0.65 (define @t212 () (lambda @t158 @t211)) % 0.46/0.65 (define @t213 () (_ @t20 @t12)) % 0.46/0.65 (define @t214 () (or @t202 @t213)) % 0.46/0.65 (define @t215 () (not @t213)) % 0.46/0.65 (define @t216 () (or @t215 @t157)) % 0.46/0.65 (define @t217 () (not @t216)) % 0.46/0.65 (define @t218 () (not (or @t217 (not @t214)))) % 0.46/0.65 (define @t219 () (lambda @t40 @t218)) % 0.46/0.65 (define @t220 () (or @t139 @t174)) % 0.46/0.65 (define @t221 () (_ @t11 @t1)) % 0.46/0.65 (define @t222 () (or @t139 @t221)) % 0.46/0.65 (define @t223 () (forall @t6 @t222)) % 0.46/0.65 (define @t224 () (lambda @t35 @t223)) % 0.46/0.65 (define @t225 () (_ @t201 @t11)) % 0.46/0.65 (define @t226 () (lambda @t35 @t117)) % 0.46/0.65 (define @t227 () (_ @t226 @t12)) % 0.46/0.65 (define @t228 () (not @t227)) % 0.46/0.65 (define @t229 () (or @t228 @t157)) % 0.46/0.65 (define @t230 () (lambda @t158 @t229)) % 0.46/0.65 (define @t231 () (lambda @t40 @t216)) % 0.46/0.65 (define @t232 () (or @t109 @t108)) % 0.46/0.65 (define @t233 () (or @t112 @t111)) % 0.46/0.65 (define @t234 () (or @t114 @t233 @t232)) % 0.46/0.65 (define @t235 () (forall @t116 @t234)) % 0.46/0.65 (define @t236 () (forall (@list @t110 @t107) @t234)) % 0.46/0.65 (define @t237 () (forall (@list @t107) @t232)) % 0.46/0.65 (define @t238 () (forall (@list @t110) @t233)) % 0.46/0.65 (define @t239 () (or @t114 @t238 @t237)) % 0.46/0.65 (define @t240 () (tptp.f @t2 @t1)) % 0.46/0.65 (define @t241 () (not @t240)) % 0.46/0.65 (define @t242 () (forall @t6 (or @t139 @t241))) % 0.46/0.65 (define @t243 () (forall @t6 (or @t139 @t240))) % 0.46/0.65 (define @t244 () (or @t114 @t243 @t242)) % 0.46/0.65 (define @t245 () (or @t243 @t242)) % 0.46/0.65 (define @t246 () (or (forall @t6 (or @t143 @t240)) (forall @t6 (or @t143 @t241)))) % 0.46/0.65 (define @t247 () (lambda @t14 @t246)) % 0.46/0.65 (define @t248 () (_ @t247 @t2 @t7)) % 0.46/0.65 (define @t249 () (or @t114 @t248)) % 0.46/0.65 (define @t250 () (forall @t5 @t249)) % 0.46/0.65 (define @t251 () (lambda @t35 @t250)) % 0.46/0.65 (define @t252 () (_ @t47 @t2 @t7)) % 0.46/0.65 (define @t253 () (lambda @t51 (forall @t5 (or @t114 @t252)))) % 0.46/0.65 (define @t254 () (lambda @t35 @t242)) % 0.46/0.65 (define @t255 () (_ @t254 @t7)) % 0.46/0.65 (define @t256 () (or @t243 @t255)) % 0.46/0.65 (define @t257 () (lambda @t35 @t256)) % 0.46/0.65 (define @t258 () (@list @t25 @t7)) % 0.46/0.65 (define @t259 () (_ @t13 @t1)) % 0.46/0.65 (define @t260 () (not @t259)) % 0.46/0.65 (define @t261 () (or @t139 @t260)) % 0.46/0.65 (define @t262 () (lambda @t35 (not (_ @t13 @t7)))) % 0.46/0.65 (define @t263 () (_ @t262 @t1)) % 0.46/0.65 (define @t264 () (or @t139 @t263)) % 0.46/0.65 (define @t265 () (forall @t6 @t264)) % 0.46/0.65 (define @t266 () (lambda @t35 @t265)) % 0.46/0.65 (define @t267 () (_ @t24 @t13)) % 0.46/0.65 (define @t268 () (lambda @t35 @t243)) % 0.46/0.65 (define @t269 () (_ @t268 @t7)) % 0.46/0.65 (define @t270 () (or @t269 @t26)) % 0.46/0.65 (define @t271 () (lambda @t258 @t270)) % 0.46/0.65 (define @t272 () (or @t139 @t259)) % 0.46/0.65 (define @t273 () (_ @t13 @t1)) % 0.46/0.65 (define @t274 () (or @t139 @t273)) % 0.46/0.65 (define @t275 () (forall @t6 @t274)) % 0.46/0.65 (define @t276 () (lambda @t35 @t275)) % 0.46/0.65 (define @t277 () (_ @t201 @t13)) % 0.46/0.65 (define @t278 () (lambda @t14 (_ (_ (_ @t27 @t277) (_ @t201 @t267)) @t12))) % 0.46/0.65 (define @t279 () (lambda @t147 @t214)) % 0.46/0.65 (define @t280 () (_ @t279 @t12)) % 0.46/0.65 (define @t281 () (not @t280)) % 0.46/0.65 (define @t282 () (or @t217 @t281)) % 0.46/0.65 (define @t283 () (not @t282)) % 0.46/0.65 (define @t284 () (lambda @t147 @t283)) % 0.46/0.65 (define @t285 () (@var "BOUND_VARIABLE_7630" (-> $$unsorted Bool))) % 0.46/0.65 (define @t286 () (not (_ @t285 @t12))) % 0.46/0.65 (define @t287 () (@list @t285 @t12)) % 0.46/0.65 (define @t288 () (@var "BOUND_VARIABLE_7650" (-> $$unsorted Bool))) % 0.46/0.65 (define @t289 () (_ @t288 @t12)) % 0.46/0.65 (define @t290 () (lambda (@list @t288 @t12) (or @t202 @t289))) % 0.46/0.65 (define @t291 () (@list @t25)) % 0.46/0.65 (define @t292 () (lambda @t147 @t216)) % 0.46/0.65 (define @t293 () (_ @t292 @t12)) % 0.46/0.65 (define @t294 () (not @t293)) % 0.46/0.65 (define @t295 () (or @t294 @t286)) % 0.46/0.65 (define @t296 () (not @t295)) % 0.46/0.65 (define @t297 () (lambda @t287 @t296)) % 0.46/0.65 (define @t298 () (not (or @t215 @t202))) % 0.46/0.65 (define @t299 () (lambda @t40 @t298)) % 0.46/0.65 (define @t300 () (lambda @t158 @t216)) % 0.46/0.65 (define @t301 () (or @t22 @t26)) % 0.46/0.65 (define @t302 () (lambda @t35 @t301)) % 0.46/0.65 (define @t303 () (lambda @t258 @t301)) % 0.46/0.65 (define @t304 () (lambda @t35 @t22)) % 0.46/0.65 (define @t305 () (_ @t304 @t7)) % 0.46/0.65 (define @t306 () (or @t305 @t26)) % 0.46/0.65 (define @t307 () (lambda @t258 @t306)) % 0.46/0.65 (define @t308 () (not @t26)) % 0.46/0.65 (define @t309 () (or @t22 @t308)) % 0.46/0.65 (define @t310 () (lambda @t35 @t309)) % 0.46/0.65 (define @t311 () (_ @t310 @t7)) % 0.46/0.65 (define @t312 () (not @t311)) % 0.46/0.65 (define @t313 () (lambda @t35 @t312)) % 0.46/0.65 (define @t314 () (lambda @t35 @t308)) % 0.46/0.65 (define @t315 () (_ @t314 @t7)) % 0.46/0.65 (define @t316 () (or @t22 @t315)) % 0.46/0.65 (define @t317 () (lambda @t35 @t316)) % 0.46/0.65 (define @t318 () (not @t8)) % 0.46/0.65 (define @t319 () (or @t318 @t49)) % 0.46/0.65 (define @t320 () (forall @t122 @t119)) % 0.46/0.65 (define @t321 () (@quantifiers_skolemize @t320 0)) % 0.46/0.65 (define @t322 () (forall @t116 (or (not (tptp.exists_in_world @t2 @t321)) (not (tptp.rel_s4 @t321 @t110)) @t111 (not (tptp.rel_s4 @t321 @t107)) @t108))) % 0.46/0.65 (define @t323 () (@quantifiers_skolemize @t320 2)) % 0.46/0.65 (define @t324 () (tptp.f tptp.a @t323)) % 0.46/0.65 (define @t325 () (@quantifiers_skolemize @t320 1)) % 0.46/0.65 (define @t326 () (tptp.rel_s4 @t325 @t323)) % 0.46/0.65 (define @t327 () (not @t326)) % 0.46/0.65 (define @t328 () (tptp.f tptp.a @t325)) % 0.46/0.65 (define @t329 () (not @t328)) % 0.46/0.65 (define @t330 () (or @t329 @t327 @t324)) % 0.46/0.65 (define @t331 () (forall @t104 (or (not (tptp.rel_s4 @t325 @t102)) @t103))) % 0.46/0.65 (define @t332 () (not @t331)) % 0.46/0.65 (define @t333 () (or @t332 @t328)) % 0.46/0.65 (define @t334 () (and @t333 @t330)) % 0.46/0.65 (define @t335 () (tptp.rel_s4 @t321 @t325)) % 0.46/0.65 (define @t336 () (not @t335)) % 0.46/0.65 (define @t337 () (not @t322)) % 0.46/0.65 (define @t338 () (or @t337 @t336 @t334)) % 0.46/0.65 (define @t339 () (@list true)) % 0.46/0.65 (define @t340 () (@list @t338)) % 0.46/0.65 (define @t341 () (_ @t29 @t55 @t68)) % 0.46/0.65 (define @t342 () (_ @t29 @t62 @t68)) % 0.46/0.65 (define @t343 () (_ @t29 @t55 @t62)) % 0.46/0.65 (define @t344 () (not @t70)) % 0.46/0.65 (define @t345 () (not @t64)) % 0.46/0.65 (define @t346 () (or @t345 @t344 @t69)) % 0.46/0.65 (define @t347 () (@list @t325)) % 0.46/0.65 (define @t348 () (tptp.rel_s4 @t325 @t325)) % 0.46/0.65 (define @t349 () (not @t348)) % 0.46/0.65 (define @t350 () (or @t349 @t328)) % 0.46/0.65 (define @t351 () (_ @t29 @t55 @t55)) % 0.46/0.65 (define @t352 () (or @t327 @t324)) % 0.46/0.65 (define @t353 () (@list true false)) % 0.46/0.65 (define @t354 () (@list @t330)) % 0.46/0.65 (define @t355 () (tptp.rel_s4 @t321 @t323)) % 0.46/0.65 (define @t356 () (or @t336 @t327 @t355)) % 0.46/0.65 (define @t357 () (not @t355)) % 0.46/0.65 (define @t358 () (tptp.exists_in_world tptp.a @t321)) % 0.46/0.65 (define @t359 () (not @t358)) % 0.46/0.65 (define @t360 () (or @t359 @t357 @t324 @t336 @t329)) % 0.46/0.65 (define @t361 () (forall @t6 @t98)) % 0.46/0.65 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.46/0.65 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.46/0.65 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.46/0.65 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.46/0.65 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.46/0.65 (assume @p6 @t10) % 0.46/0.65 (assume @p7 @t16) % 0.46/0.65 (assume @p8 true) % 0.46/0.65 (step @p9 (= tptp.meq_prop @t19) :rule refl :args (@t19)) % 0.46/0.65 (step @p10 (= tptp.mnot @t24) :rule refl :args (@t24)) % 0.46/0.65 (step @p11 (= tptp.mor @t27) :rule refl :args (@t27)) % 0.46/0.65 (step @p12 (= tptp.mbox @t30) :rule refl :args (@t30)) % 0.46/0.65 (step @p13 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.46/0.65 (step @p14 (= tptp.mtrue @t36) :rule refl :args (@t36)) % 0.46/0.65 (step @p15 (= tptp.mand @t41) :rule refl :args (@t41)) % 0.46/0.65 (step @p16 (= tptp.mimplies @t42) :rule refl :args (@t42)) % 0.46/0.65 (step @p17 (= tptp.mimplied @t43) :rule refl :args (@t43)) % 0.46/0.65 (step @p18 (= tptp.mequiv @t44) :rule refl :args (@t44)) % 0.46/0.65 (step @p19 (= tptp.mxor @t45) :rule refl :args (@t45)) % 0.46/0.65 (step @p20 (= tptp.mdia @t46) :rule refl :args (@t46)) % 0.46/0.65 (step @p21 (= tptp.mforall_ind @t52) :rule refl :args (@t52)) % 0.46/0.65 (step @p22 (= tptp.mexists_ind @t53) :rule refl :args (@t53)) % 0.46/0.65 (step @p23 (= tptp.mexists_prop @t54) :rule refl :args (@t54)) % 0.46/0.65 (step @p24 (= tptp.mreflexive @t61) :rule refl :args (@t61)) % 0.46/0.65 (step @p25 (= tptp.msymmetric @t65) :rule refl :args (@t65)) % 0.46/0.65 (step @p26 (= tptp.mserial @t67) :rule refl :args (@t67)) % 0.46/0.65 (step @p27 (= tptp.mtransitive @t74) :rule refl :args (@t74)) % 0.46/0.65 (step @p28 (= tptp.meuclidean @t76) :rule refl :args (@t76)) % 0.46/0.65 (step @p29 (= tptp.mpartially_functional @t78) :rule refl :args (@t78)) % 0.46/0.65 (step @p30 (= tptp.mfunctional @t80) :rule refl :args (@t80)) % 0.46/0.65 (step @p31 (= tptp.mweakly_dense @t83) :rule refl :args (@t83)) % 0.46/0.65 (step @p32 (= tptp.mweakly_connected @t84) :rule refl :args (@t84)) % 0.46/0.65 (step @p33 (= tptp.mweakly_directed @t85) :rule refl :args (@t85)) % 0.46/0.65 (step @p34 (= tptp.mvalid @t88) :rule refl :args (@t88)) % 0.46/0.65 (step @p35 (= tptp.msatisfiable @t89) :rule refl :args (@t89)) % 0.46/0.65 (step @p36 (= tptp.mcountersatisfiable @t90) :rule refl :args (@t90)) % 0.46/0.65 (step @p37 (= tptp.minvalid @t91) :rule refl :args (@t91)) % 0.46/0.65 (step @p38 (= tptp.mbox_s4 @t96) :rule refl :args (@t96)) % 0.46/0.65 (step @p39 (= tptp.mdia_s4 @t97) :rule refl :args (@t97)) % 0.46/0.65 (step @p40 :rule refl :args (@t98)) % 0.46/0.65 (step @p41 :rule refl :args (@t9)) % 0.46/0.65 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t9 @t98))) % 0.46/0.65 (step @p43 :rule symm :premises (@p42)) % 0.46/0.65 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.46/0.65 (step @p45 :rule cong :premises (@p44) :args (@t10)) % 0.46/0.65 (step @p46 :rule eq_resolve :premises (@p6 @p45)) % 0.46/0.65 (step @p47 :rule aci_norm :args ((= @t121 @t119))) % 0.46/0.65 (step @p48 :rule cong :premises (@p47) :args (@t123)) % 0.46/0.65 (step @p49 :rule quant-merge-prenex :args ((= (forall @t35 @t125) @t123))) % 0.46/0.65 (step @p50 :rule alpha_equiv :args (@t126 (@list @t100 @t99) (@list @t1 @t127))) % 0.46/0.65 (step @p51 :rule refl :args (@t118)) % 0.46/0.65 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t128)) % 0.46/0.65 (step @p53 :rule quant-miniscope-or :args ((= @t125 @t128))) % 0.46/0.65 (step @p54 :rule trans :premises (@p53 @p52)) % 0.46/0.65 (step @p55 :rule symm :premises (@p54)) % 0.46/0.65 (step @p56 :rule cong :premises (@p55) :args ((forall @t35 @t142))) % 0.46/0.65 (step @p57 :rule trans :premises (@p56 @p49)) % 0.46/0.65 (step @p58 :rule trans :premises (@p57 @p48)) % 0.46/0.65 (step @p59 :rule beta-reduce :args ((= @t149 @t142))) % 0.46/0.65 (step @p60 :rule cong :premises (@p59) :args (@t150)) % 0.46/0.65 (step @p61 :rule trans :premises (@p60 @p58)) % 0.46/0.65 (step @p62 :rule beta-reduce :args ((= (_ @t152 @t148) @t150))) % 0.46/0.65 (step @p63 :rule trans :premises (@p62 @p61)) % 0.46/0.65 (step @p64 :rule beta-reduce :args ((= @t154 @t144))) % 0.46/0.65 (step @p65 :rule refl :args (@t146)) % 0.46/0.65 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t155)) % 0.46/0.65 (step @p67 :rule cong :premises (@p66) :args (@t156)) % 0.46/0.65 (step @p68 :rule beta-reduce :args ((= (_ (lambda @t158 (or @t146 @t157)) @t153) @t156))) % 0.46/0.65 (step @p69 :rule trans :premises (@p68 @p67)) % 0.46/0.65 (step @p70 :rule aci_norm :args ((= @t160 @t133))) % 0.46/0.65 (step @p71 :rule refl :args (@t136)) % 0.46/0.65 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t161)) % 0.46/0.65 (step @p73 :rule refl :args (@t139)) % 0.46/0.65 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t162)) % 0.46/0.65 (step @p75 :rule cong :premises (@p74) :args (@t163)) % 0.46/0.65 (step @p76 :rule quant-merge-prenex :args ((= (forall @t6 @t165) @t163))) % 0.46/0.65 (step @p77 :rule alpha_equiv :args (@t166 (@list @t127) @t167)) % 0.46/0.65 (step @p78 :rule refl :args (@t132)) % 0.46/0.65 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t168)) % 0.46/0.65 (step @p80 :rule quant-miniscope-or :args ((= @t169 @t168))) % 0.46/0.65 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.65 (step @p82 :rule quant-unused-vars :args ((= @t170 @t136))) % 0.46/0.65 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t171)) % 0.46/0.65 (step @p84 :rule quant-miniscope-and :args ((= @t172 @t171))) % 0.46/0.65 (step @p85 :rule trans :premises (@p84 @p83)) % 0.46/0.65 (step @p86 :rule refl :args (@t139)) % 0.46/0.65 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t173)) % 0.46/0.65 (step @p88 :rule quant-miniscope-or :args ((= @t165 @t173))) % 0.46/0.65 (step @p89 :rule trans :premises (@p88 @p87)) % 0.46/0.65 (step @p90 :rule symm :premises (@p89)) % 0.46/0.65 (step @p91 :rule cong :premises (@p90) :args ((forall @t6 (or @t139 (and @t136 (or @t132 @t134)))))) % 0.46/0.65 (step @p92 :rule trans :premises (@p91 @p76)) % 0.46/0.65 (step @p93 :rule trans :premises (@p92 @p75)) % 0.46/0.65 (step @p94 :rule refl :args (@t134)) % 0.46/0.65 (step @p95 :rule refl :args (@t131)) % 0.46/0.65 (step @p96 :rule refl :args (@t174)) % 0.46/0.65 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t174 @t131))) % 0.46/0.65 (step @p98 :rule symm :premises (@p97)) % 0.46/0.65 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.46/0.65 (step @p100 :rule cong :premises (@p99) :args (@t175)) % 0.46/0.65 (step @p101 :rule nary_cong :premises (@p100 @p94) :args (@t176)) % 0.46/0.65 (step @p102 :rule refl :args (@t135)) % 0.46/0.65 (step @p103 :rule nary_cong :premises (@p102 @p99) :args (@t177)) % 0.46/0.65 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t178)) % 0.46/0.65 (step @p105 :rule nary_cong :premises (@p86 @p104) :args (@t179)) % 0.46/0.65 (step @p106 :rule cong :premises (@p105) :args ((forall @t6 @t179))) % 0.46/0.65 (step @p107 :rule trans :premises (@p106 @p93)) % 0.46/0.65 (step @p108 :rule bool-double-not-elim :args (@t176)) % 0.46/0.65 (step @p109 :rule bool-double-not-elim :args (@t177)) % 0.46/0.65 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((and (not @t181) (not @t180)))) % 0.46/0.65 (step @p111 :rule bool-or-de-morgan :args (@t181 @t180 false)) % 0.46/0.65 (step @p112 :rule trans :premises (@p111 @p110)) % 0.46/0.65 (step @p113 :rule nary_cong :premises (@p86 @p112) :args (@t183)) % 0.46/0.65 (step @p114 :rule cong :premises (@p113) :args ((forall @t6 @t183))) % 0.46/0.65 (step @p115 :rule trans :premises (@p114 @p107)) % 0.46/0.65 (step @p116 :rule beta-reduce :args ((= (_ (lambda @t147 (not (or (not (or (not @t184) @t185)) (not (or @t186 @t184))))) @t1) @t182))) % 0.46/0.65 (step @p117 :rule refl :args (@t1)) % 0.46/0.65 (step @p118 :rule alpha_equiv :args (@t187 @t188 @t167)) % 0.46/0.65 (step @p119 :rule refl :args (@t186)) % 0.46/0.65 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t189)) % 0.46/0.65 (step @p121 :rule cong :premises (@p120) :args (@t190)) % 0.46/0.65 (step @p122 :rule refl :args (@t185)) % 0.46/0.65 (step @p123 :rule cong :premises (@p118) :args (@t191)) % 0.46/0.65 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t192)) % 0.46/0.65 (step @p125 :rule cong :premises (@p124) :args (@t193)) % 0.46/0.65 (step @p126 :rule nary_cong :premises (@p125 @p121) :args (@t194)) % 0.46/0.65 (step @p127 :rule cong :premises (@p126) :args (@t195)) % 0.46/0.65 (step @p128 :rule cong :premises (@p127) :args (@t196)) % 0.46/0.65 (step @p129 :rule ho_cong :premises (@p128 @p117)) % 0.46/0.65 (step @p130 :rule trans :premises (@p129 @p116)) % 0.46/0.65 (step @p131 :rule nary_cong :premises (@p73 @p130) :args (@t197)) % 0.46/0.65 (step @p132 :rule cong :premises (@p131) :args (@t198)) % 0.46/0.65 (step @p133 :rule trans :premises (@p132 @p115)) % 0.46/0.65 (step @p134 :rule cong :premises (@p133) :args (@t199)) % 0.46/0.65 (step @p135 :rule beta-reduce :args ((= (_ @t201 @t196) @t199))) % 0.46/0.65 (step @p136 :rule trans :premises (@p135 @p134)) % 0.46/0.65 (step @p137 :rule beta-reduce :args ((= (_ (lambda @t158 (not (or (not (or @t191 @t157)) (not (or @t202 @t187))))) @t11) @t196))) % 0.46/0.65 (step @p138 :rule refl :args (@t11)) % 0.46/0.65 (step @p139 :rule beta-reduce :args ((= @t204 @t187))) % 0.46/0.65 (step @p140 :rule refl :args (@t202)) % 0.46/0.65 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t205)) % 0.46/0.65 (step @p142 :rule cong :premises (@p141) :args (@t206)) % 0.46/0.65 (step @p143 :rule refl :args (@t157)) % 0.46/0.65 (step @p144 :rule cong :premises (@p139) :args (@t207)) % 0.46/0.65 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t208)) % 0.46/0.65 (step @p146 :rule cong :premises (@p145) :args (@t209)) % 0.46/0.65 (step @p147 :rule nary_cong :premises (@p146 @p142) :args (@t210)) % 0.46/0.65 (step @p148 :rule cong :premises (@p147) :args (@t211)) % 0.46/0.65 (step @p149 :rule cong :premises (@p148) :args (@t212)) % 0.46/0.65 (step @p150 :rule beta-reduce :args ((= (_ @t219 @t203) @t212))) % 0.46/0.65 (step @p151 :rule trans :premises (@p150 @p149)) % 0.46/0.65 (step @p152 :rule nary_cong :premises (@p86 @p99) :args (@t220)) % 0.46/0.65 (step @p153 :rule cong :premises (@p152) :args ((forall @t6 @t220))) % 0.46/0.65 (step @p154 :rule refl :args (@t221)) % 0.46/0.65 (step @p155 :rule nary_cong :premises (@p73 @p154) :args (@t222)) % 0.46/0.65 (step @p156 :rule cong :premises (@p155) :args (@t223)) % 0.46/0.65 (step @p157 :rule trans :premises (@p156 @p153)) % 0.46/0.65 (step @p158 :rule cong :premises (@p157) :args (@t224)) % 0.46/0.65 (step @p159 :rule beta-reduce :args ((= @t225 @t224))) % 0.46/0.65 (step @p160 :rule trans :premises (@p159 @p158)) % 0.46/0.65 (step @p161 :rule refl :args (@t219)) % 0.46/0.65 (step @p162 :rule ho_cong :premises (@p161 @p160)) % 0.46/0.65 (step @p163 :rule trans :premises (@p162 @p151)) % 0.46/0.65 (step @p164 :rule ho_cong :premises (@p163 @p138)) % 0.46/0.65 (step @p165 :rule trans :premises (@p164 @p137)) % 0.46/0.65 (step @p166 :rule refl :args (@t201)) % 0.46/0.65 (step @p167 :rule ho_cong :premises (@p166 @p165)) % 0.46/0.65 (step @p168 :rule trans :premises (@p167 @p136)) % 0.46/0.65 (step @p169 :rule beta-reduce :args ((= @t227 @t145))) % 0.46/0.65 (step @p170 :rule cong :premises (@p169) :args (@t228)) % 0.46/0.65 (step @p171 :rule nary_cong :premises (@p170 @p143) :args (@t229)) % 0.46/0.65 (step @p172 :rule cong :premises (@p171) :args (@t230)) % 0.46/0.65 (step @p173 :rule beta-reduce :args ((= (_ @t231 @t226) @t230))) % 0.46/0.65 (step @p174 :rule trans :premises (@p173 @p172)) % 0.46/0.65 (step @p175 :rule aci_norm :args ((= @t234 @t115))) % 0.46/0.65 (step @p176 :rule cong :premises (@p175) :args (@t235)) % 0.46/0.65 (step @p177 :rule quant-merge-prenex :args ((= (forall @t5 @t236) @t235))) % 0.46/0.65 (step @p178 :rule alpha_equiv :args (@t237 (@list @t107) @t188)) % 0.46/0.65 (step @p179 :rule alpha_equiv :args (@t238 (@list @t110) @t188)) % 0.46/0.65 (step @p180 :rule refl :args (@t114)) % 0.46/0.65 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t239)) % 0.46/0.65 (step @p182 :rule quant-miniscope-or :args ((= @t236 @t239))) % 0.46/0.65 (step @p183 :rule trans :premises (@p182 @p181)) % 0.46/0.65 (step @p184 :rule symm :premises (@p183)) % 0.46/0.65 (step @p185 :rule cong :premises (@p184) :args ((forall @t5 @t244))) % 0.46/0.65 (step @p186 :rule trans :premises (@p185 @p177)) % 0.46/0.65 (step @p187 :rule trans :premises (@p186 @p176)) % 0.46/0.65 (step @p188 :rule aci_norm :args ((= (or @t114 @t245) @t244))) % 0.46/0.65 (step @p189 :rule beta-reduce :args ((= @t248 @t245))) % 0.46/0.65 (step @p190 :rule refl :args (@t114)) % 0.46/0.65 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t249)) % 0.46/0.65 (step @p192 :rule trans :premises (@p191 @p188)) % 0.46/0.65 (step @p193 :rule cong :premises (@p192) :args (@t250)) % 0.46/0.65 (step @p194 :rule trans :premises (@p193 @p187)) % 0.46/0.65 (step @p195 :rule cong :premises (@p194) :args (@t251)) % 0.46/0.65 (step @p196 :rule beta-reduce :args ((= (_ @t253 @t247) @t251))) % 0.46/0.65 (step @p197 :rule trans :premises (@p196 @p195)) % 0.46/0.65 (step @p198 :rule beta-reduce :args ((= (_ (lambda @t35 @t245) @t12) @t246))) % 0.46/0.65 (step @p199 :rule refl :args (@t12)) % 0.46/0.65 (step @p200 :rule beta-reduce :args ((= @t255 @t242))) % 0.46/0.65 (step @p201 :rule refl :args (@t243)) % 0.46/0.65 (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t256)) % 0.46/0.65 (step @p203 :rule cong :premises (@p202) :args (@t257)) % 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eq_resolve :premises (@p470 @p472)) % 0.46/0.66 (step @p474 :rule cong :premises (@p473) :args (@t59)) % 0.46/0.66 (step @p475 :rule cong :premises (@p474) :args (@t61)) % 0.46/0.66 (step @p476 :rule trans :premises (@p24 @p475)) % 0.46/0.66 (step @p477 :rule ho_cong :premises (@p476 @p429)) % 0.46/0.66 (step @p478 :rule trans :premises (@p477 @p468)) % 0.46/0.66 (step @p479 :rule eq_resolve :premises (@p3 @p478)) % 0.46/0.66 (step @p480 :rule instantiate :premises (@p479) :args (@t347)) % 0.46/0.66 (step @p481 :rule cnf_or_pos :args (@t350)) % 0.46/0.66 (step @p482 :rule reordering :premises (@p481) :args ((or @t328 @t349 (not @t350)))) % 0.46/0.66 (step @p483 :rule cnf_or_neg :args (@t333 1)) % 0.46/0.66 (step @p484 :rule cnf_or_neg :args (@t338 2)) % 0.46/0.66 (step @p485 :rule chain_m_resolution :premises (@p484 @p419) :args ((not @t334) @t339 @t340)) % 0.46/0.66 (step @p486 :rule cnf_and_neg :args (@t334)) % 0.46/0.66 (step @p487 :rule bool-double-not-elim :args (@t326)) % 0.46/0.66 (step @p488 :rule refl :args (@t330)) % 0.46/0.66 (step @p489 :rule nary_cong :premises (@p488 @p487) :args ((or @t330 (not @t327)))) % 0.46/0.66 (step @p490 :rule cnf_or_neg :args (@t330 1)) % 0.46/0.66 (step @p491 :rule eq_resolve :premises (@p490 @p489)) % 0.46/0.66 (step @p492 :rule reordering :premises (@p491) :args ((or @t326 @t330))) % 0.46/0.66 (step @p493 :rule cnf_or_neg :args (@t330 2)) % 0.46/0.66 (step @p494 :rule cnf_or_pos :args (@t352)) % 0.46/0.66 (step @p495 :rule reordering :premises (@p494) :args ((or @t327 @t324 (not @t352)))) % 0.46/0.66 (assume-push @p538 @t331) % 0.46/0.66 (step @p497 :rule instantiate :premises (@p538) :args ((@list @t323))) % 0.46/0.66 (step-pop @p539 :rule scope :premises (@p497)) % 0.46/0.66 (step @p498 :rule process_scope :premises (@p539) :args (@t352)) % 0.46/0.66 (step @p500 :rule implies_elim :premises (@p498)) % 0.46/0.66 (step @p501 :rule chain_m_resolution :premises (@p500 @p495 @p493 @p492 @p486 @p485 @p483 @p482 @p480 @p467) :args (@t332 (@list true true false true true false false false false) (@list @t352 @t324 @t326 @t330 @t334 @t333 @t328 @t348 @t350))) % 0.46/0.66 (step @p502 :rule bool-double-not-elim :args (@t331)) % 0.46/0.66 (step @p503 :rule refl :args (@t333)) % 0.46/0.66 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t333 (not @t332)))) % 0.46/0.66 (step @p505 :rule cnf_or_neg :args (@t333 0)) % 0.46/0.66 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 0.46/0.66 (step @p507 :rule reordering :premises (@p506) :args ((or @t331 @t333))) % 0.46/0.66 (step @p508 :rule chain_m_resolution :premises (@p507 @p501) :args (@t333 @t339 (@list @t331))) % 0.46/0.66 (step @p509 :rule chain_m_resolution :premises (@p486 @p485 @p508) :args ((not @t330) @t353 (@list @t334 @t333))) % 0.46/0.66 (step @p510 :rule chain_m_resolution :premises (@p492 @p509) :args (@t326 @t339 @t354)) % 0.46/0.66 (step @p511 :rule bool-double-not-elim :args (@t335)) % 0.46/0.66 (step @p512 :rule nary_cong :premises (@p421 @p511) :args ((or @t338 (not @t336)))) % 0.46/0.66 (step @p513 :rule cnf_or_neg :args (@t338 1)) % 0.46/0.66 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 0.46/0.66 (step @p515 :rule reordering :premises (@p514) :args ((or @t335 @t338))) % 0.46/0.66 (step @p516 :rule chain_m_resolution :premises (@p515 @p419) :args (@t335 @t339 @t340)) % 0.46/0.66 (step @p517 :rule cnf_or_pos :args (@t356)) % 0.46/0.66 (step @p518 :rule reordering :premises (@p517) :args ((or @t336 @t327 @t355 (not @t356)))) % 0.46/0.66 (step @p519 :rule chain_m_resolution :premises (@p518 @p516 @p510 @p462) :args (@t355 (@list false false false) (@list @t335 @t326 @t356))) % 0.46/0.66 (step @p520 :rule chain_m_resolution :premises (@p493 @p509) :args ((not @t324) @t339 @t354)) % 0.46/0.66 (step @p521 :rule bool-double-not-elim :args (@t328)) % 0.46/0.66 (step @p522 :rule nary_cong :premises (@p488 @p521) :args ((or @t330 (not @t329)))) % 0.46/0.66 (step @p523 :rule cnf_or_neg :args (@t330 0)) % 0.46/0.66 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 0.46/0.66 (step @p525 :rule reordering :premises (@p524) :args ((or @t328 @t330))) % 0.46/0.66 (step @p526 :rule chain_m_resolution :premises (@p525 @p509) :args (@t328 @t339 @t354)) % 0.46/0.66 (step @p527 :rule cnf_or_pos :args (@t360)) % 0.46/0.66 (step @p528 :rule reordering :premises (@p527) :args ((or @t336 @t329 @t324 @t357 @t359 (not @t360)))) % 0.46/0.66 (step @p529 :rule chain_m_resolution :premises (@p528 @p516 @p526 @p520 @p519 @p427) :args (@t359 (@list false false true false false) (@list @t335 @t328 @t324 @t355 @t360))) % 0.46/0.66 (assume-push @p540 @t361) % 0.46/0.66 (step @p531 :rule instantiate :premises (@p46) :args ((@list @t321))) % 0.46/0.66 (step-pop @p541 :rule scope :premises (@p531)) % 0.46/0.66 (step @p532 :rule process_scope :premises (@p541) :args (@t358)) % 0.46/0.66 (step @p534 :rule implies_elim :premises (@p532)) % 0.46/0.66 (step @p535 false :rule chain_m_resolution :premises (@p534 @p529 @p46) :args (false @t353 (@list @t358 @t361))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------