%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN741^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:09:46 AM UTC 2026 % Result : Theorem 0.38s 0.82s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN741^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.36 % Computer : n027.cluster.edu % 0.19/0.36 % Model : x86_64 x86_64 % 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.36 % Memory : 8042.1875MB % 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Tue Jun 2 23:35:36 EDT 2026 % 0.19/0.36 % CPUTime : % 0.34/0.53 %----Proving TH0 % 0.38/0.82 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.82 % SZS status Theorem % 0.38/0.82 % SZS output start Proof % 0.38/0.82 ( % 0.38/0.82 (declare-sort $$unsorted 0) % 0.38/0.82 (declare-sort tptp.mu 0) % 0.38/0.82 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.v4 (-> $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.v3 (-> $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.v1 (-> $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.v2 (-> $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.82 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.82 (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)))))) % 0.38/0.82 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.82 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.38/0.82 (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))))))) % 0.38/0.82 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.82 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.82 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.82 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.82 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.38/0.82 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.82 (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)))))) % 0.38/0.82 (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)))))))) % 0.38/0.82 (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)))))) % 0.38/0.82 (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)))))) % 0.38/0.82 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.82 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.82 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.82 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.82 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.38/0.82 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.82 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.38/0.82 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.38/0.82 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.38/0.82 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.38/0.82 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.82 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.82 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.82 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.82 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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)))))))) % 0.38/0.82 (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))))) % 0.38/0.82 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.82 (define @t2 () (@var "X" tptp.mu)) % 0.38/0.82 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.38/0.82 (define @t4 () (_ @t3 @t1)) % 0.38/0.82 (define @t5 () (@list @t2)) % 0.38/0.82 (define @t6 () (@list @t1)) % 0.38/0.82 (define @t7 () (@var "W" $$unsorted)) % 0.38/0.82 (define @t8 () (_ @t3 @t7)) % 0.38/0.82 (define @t9 () (_ tptp.mnot tptp.v2)) % 0.38/0.82 (define @t10 () (_ tptp.mbox_s4 @t9)) % 0.38/0.82 (define @t11 () (_ tptp.mbox_s4 @t10)) % 0.38/0.82 (define @t12 () (_ tptp.mnot tptp.v1)) % 0.38/0.82 (define @t13 () (_ tptp.mbox_s4 @t12)) % 0.38/0.82 (define @t14 () (_ tptp.mbox_s4 @t13)) % 0.38/0.82 (define @t15 () (_ tptp.mor @t14)) % 0.38/0.82 (define @t16 () (_ tptp.mor tptp.v3)) % 0.38/0.82 (define @t17 () (_ tptp.mor tptp.v1)) % 0.38/0.82 (define @t18 () (_ tptp.mbox_s4 tptp.v4)) % 0.38/0.82 (define @t19 () (_ tptp.mbox_s4 @t18)) % 0.38/0.82 (define @t20 () (_ tptp.mor @t19)) % 0.38/0.82 (define @t21 () (_ tptp.mor @t9)) % 0.38/0.82 (define @t22 () (_ tptp.mbox_s4 tptp.v1)) % 0.38/0.82 (define @t23 () (_ tptp.mbox_s4 @t22)) % 0.38/0.82 (define @t24 () (_ tptp.mnot tptp.v4)) % 0.38/0.82 (define @t25 () (_ tptp.mbox_s4 @t24)) % 0.38/0.82 (define @t26 () (_ tptp.mor @t25)) % 0.38/0.82 (define @t27 () (_ @t26 @t23)) % 0.38/0.82 (define @t28 () (_ tptp.mnot tptp.v3)) % 0.38/0.82 (define @t29 () (_ tptp.mor @t28)) % 0.38/0.82 (define @t30 () (_ tptp.mbox_s4 @t28)) % 0.38/0.82 (define @t31 () (_ tptp.mbox_s4 @t30)) % 0.38/0.82 (define @t32 () (_ tptp.mbox_s4 (_ tptp.mbox_s4 tptp.v2))) % 0.38/0.82 (define @t33 () (_ tptp.mor @t32)) % 0.38/0.82 (define @t34 () (_ @t20 @t11)) % 0.38/0.82 (define @t35 () (_ tptp.mor @t10)) % 0.38/0.82 (define @t36 () (_ tptp.mbox_s4 @t25)) % 0.38/0.82 (define @t37 () (_ tptp.mor @t30)) % 0.38/0.82 (define @t38 () (_ @t37 @t31)) % 0.38/0.82 (define @t39 () (_ tptp.mor @t12)) % 0.38/0.82 (define @t40 () (_ tptp.mor tptp.v2)) % 0.38/0.82 (define @t41 () (_ tptp.mor @t24)) % 0.38/0.82 (define @t42 () (_ @t26 @t31)) % 0.38/0.82 (define @t43 () (_ tptp.mor @t18)) % 0.38/0.82 (define @t44 () (_ tptp.mor tptp.v4)) % 0.38/0.82 (define @t45 () (_ tptp.mbox_s4 tptp.v3)) % 0.38/0.82 (define @t46 () (_ tptp.mbox_s4 @t45)) % 0.38/0.82 (define @t47 () (_ @t33 @t46)) % 0.38/0.82 (define @t48 () (_ tptp.mor @t46)) % 0.38/0.82 (define @t49 () (_ tptp.mor @t13)) % 0.38/0.82 (define @t50 () (_ tptp.mor @t23)) % 0.38/0.82 (define @t51 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.82 (define @t52 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.82 (define @t53 () (lambda (@list @t52 @t51 @t7) (= (_ @t52 @t7) (_ @t51 @t7)))) % 0.38/0.82 (define @t54 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.82 (define @t55 () (_ @t54 @t7)) % 0.38/0.82 (define @t56 () (not @t55)) % 0.38/0.82 (define @t57 () (@list @t54 @t7)) % 0.38/0.82 (define @t58 () (lambda @t57 @t56)) % 0.38/0.82 (define @t59 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.82 (define @t60 () (_ @t59 @t7)) % 0.38/0.82 (define @t61 () (lambda (@list @t54 @t59 @t7) (or @t55 @t60))) % 0.38/0.82 (define @t62 () (_ @t54 @t1)) % 0.38/0.82 (define @t63 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.82 (define @t64 () (lambda (@list @t63 @t54 @t7) (forall @t6 (or (not (_ (_ @t63 @t7) @t1)) @t62)))) % 0.38/0.82 (define @t65 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.82 (define @t66 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.82 (define @t67 () (_ @t66 @t65)) % 0.38/0.82 (define @t68 () (lambda (@list @t66 @t7) (forall (@list @t65) (_ @t67 @t7)))) % 0.38/0.82 (define @t69 () (@list @t7)) % 0.38/0.82 (define @t70 () (lambda @t69 true)) % 0.38/0.82 (define @t71 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.82 (define @t72 () (_ tptp.mnot @t59)) % 0.38/0.82 (define @t73 () (_ tptp.mnot @t54)) % 0.38/0.82 (define @t74 () (_ tptp.mor @t73)) % 0.38/0.82 (define @t75 () (@list @t54 @t59 @t71)) % 0.38/0.82 (define @t76 () (lambda @t75 (_ (_ tptp.mnot (_ @t74 @t72)) @t71))) % 0.38/0.82 (define @t77 () (lambda @t75 (_ (_ @t74 @t59) @t71))) % 0.38/0.82 (define @t78 () (lambda @t75 (_ (_ (_ tptp.mor @t72) @t54) @t71))) % 0.38/0.82 (define @t79 () (lambda @t75 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t54) @t59)) (_ (_ tptp.mimplies @t59) @t54)) @t71))) % 0.38/0.82 (define @t80 () (lambda @t75 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t54) @t59)) @t71))) % 0.38/0.82 (define @t81 () (lambda (@list @t63 @t54 @t71) (_ (_ tptp.mnot (_ (_ tptp.mbox @t63) @t73)) @t71))) % 0.38/0.82 (define @t82 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.82 (define @t83 () (_ @t82 @t2)) % 0.38/0.82 (define @t84 () (lambda (@list @t82 @t7) (forall @t5 (=> @t8 (_ @t83 @t7))))) % 0.38/0.82 (define @t85 () (lambda (@list @t82 @t71) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t2 @t71) (_ (_ tptp.mnot @t83) @t71)))) @t71))) % 0.38/0.82 (define @t86 () (lambda (@list @t66 @t71) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t65 @t71) (_ (_ tptp.mnot @t67) @t71)))) @t71))) % 0.38/0.82 (define @t87 () (@var "S" $$unsorted)) % 0.38/0.82 (define @t88 () (_ @t63 @t87)) % 0.38/0.82 (define @t89 () (_ @t88 @t87)) % 0.38/0.82 (define @t90 () (@list @t87)) % 0.38/0.82 (define @t91 () (forall @t90 @t89)) % 0.38/0.82 (define @t92 () (@list @t63)) % 0.38/0.82 (define @t93 () (lambda @t92 @t91)) % 0.38/0.82 (define @t94 () (@var "T" $$unsorted)) % 0.38/0.82 (define @t95 () (_ @t63 @t94)) % 0.38/0.82 (define @t96 () (_ @t88 @t94)) % 0.38/0.82 (define @t97 () (lambda @t92 (forall (@list @t87 @t94) (=> @t96 (_ @t95 @t87))))) % 0.38/0.82 (define @t98 () (@list @t94)) % 0.38/0.82 (define @t99 () (lambda @t92 (forall @t90 (exists @t98 @t96)))) % 0.38/0.82 (define @t100 () (@var "U" $$unsorted)) % 0.38/0.82 (define @t101 () (_ @t88 @t100)) % 0.38/0.82 (define @t102 () (_ @t95 @t100)) % 0.38/0.82 (define @t103 () (@list @t87 @t94 @t100)) % 0.38/0.82 (define @t104 () (lambda @t92 (forall @t103 (=> (and @t96 @t102) @t101)))) % 0.38/0.82 (define @t105 () (and @t96 @t101)) % 0.38/0.82 (define @t106 () (lambda @t92 (forall @t103 (=> @t105 @t102)))) % 0.38/0.82 (define @t107 () (= @t94 @t100)) % 0.38/0.82 (define @t108 () (lambda @t92 (forall @t103 (=> @t105 @t107)))) % 0.38/0.82 (define @t109 () (@list @t100)) % 0.38/0.82 (define @t110 () (lambda @t92 (forall @t90 (exists @t98 (and @t96 (forall @t109 (=> @t101 @t107))))))) % 0.38/0.82 (define @t111 () (_ @t63 @t100)) % 0.38/0.82 (define @t112 () (_ @t111 @t94)) % 0.38/0.82 (define @t113 () (lambda @t92 (forall @t103 (=> @t96 (exists @t109 (and @t101 @t112)))))) % 0.38/0.82 (define @t114 () (lambda @t92 (forall @t103 (=> @t105 (or @t102 @t107 @t112))))) % 0.38/0.82 (define @t115 () (lambda @t92 (forall @t103 (=> @t105 (exists @t6 (and (_ @t95 @t1) (_ @t111 @t1))))))) % 0.38/0.82 (define @t116 () (forall @t69 @t55)) % 0.38/0.82 (define @t117 () (@list @t54)) % 0.38/0.82 (define @t118 () (lambda @t117 @t116)) % 0.38/0.82 (define @t119 () (lambda @t117 (exists @t69 @t55))) % 0.38/0.82 (define @t120 () (lambda @t117 (exists @t69 @t56))) % 0.38/0.82 (define @t121 () (lambda @t117 (forall @t69 @t56))) % 0.38/0.82 (define @t122 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.38/0.82 (define @t123 () (not @t122)) % 0.38/0.82 (define @t124 () (or @t123 @t62)) % 0.38/0.82 (define @t125 () (forall @t6 @t124)) % 0.38/0.82 (define @t126 () (lambda @t57 @t125)) % 0.38/0.82 (define @t127 () (lambda (@list @t54 @t71) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t73)) @t71))) % 0.38/0.82 (define @t128 () (forall @t90 (tptp.rel_s4 @t87 @t87))) % 0.38/0.82 (define @t129 () (_ @t63 @t87 @t87)) % 0.38/0.82 (define @t130 () (@const 0 $$unsorted)) % 0.38/0.82 (define @t131 () (@var "BOUND_VARIABLE_9234" $$unsorted)) % 0.38/0.82 (define @t132 () (not (tptp.v2 @t131))) % 0.38/0.82 (define @t133 () (@var "BOUND_VARIABLE_9232" $$unsorted)) % 0.38/0.82 (define @t134 () (not (tptp.rel_s4 @t133 @t131))) % 0.38/0.82 (define @t135 () (not (tptp.rel_s4 @t7 @t133))) % 0.38/0.82 (define @t136 () (@var "BOUND_VARIABLE_9224" $$unsorted)) % 0.38/0.82 (define @t137 () (tptp.v4 @t136)) % 0.38/0.82 (define @t138 () (@var "BOUND_VARIABLE_9222" $$unsorted)) % 0.38/0.82 (define @t139 () (not (tptp.rel_s4 @t138 @t136))) % 0.38/0.82 (define @t140 () (not (tptp.rel_s4 @t7 @t138))) % 0.38/0.82 (define @t141 () (@var "BOUND_VARIABLE_9216" $$unsorted)) % 0.38/0.82 (define @t142 () (tptp.v1 @t141)) % 0.38/0.82 (define @t143 () (not (tptp.rel_s4 @t7 @t141))) % 0.38/0.82 (define @t144 () (tptp.v1 @t7)) % 0.38/0.82 (define @t145 () (or @t135 @t134 @t132)) % 0.38/0.82 (define @t146 () (or @t140 @t139 @t137)) % 0.38/0.82 (define @t147 () (or @t143 @t142)) % 0.38/0.82 (define @t148 () (or @t144 @t147 @t146 @t145)) % 0.38/0.82 (define @t149 () (forall (@list @t7 @t141 @t138 @t136 @t133 @t131) @t148)) % 0.38/0.82 (define @t150 () (forall (@list @t141 @t138 @t136 @t133 @t131) @t148)) % 0.38/0.82 (define @t151 () (forall (@list @t133 @t131) @t145)) % 0.38/0.82 (define @t152 () (@var "BOUND_VARIABLE_8711" $$unsorted)) % 0.38/0.82 (define @t153 () (@list @t1 @t152)) % 0.38/0.82 (define @t154 () (forall (@list @t138 @t136) @t146)) % 0.38/0.82 (define @t155 () (@var "BOUND_VARIABLE_8822" $$unsorted)) % 0.38/0.82 (define @t156 () (forall (@list @t141) @t147)) % 0.38/0.82 (define @t157 () (@list @t1)) % 0.38/0.82 (define @t158 () (or @t144 @t156 @t154 @t151)) % 0.38/0.82 (define @t159 () (not (tptp.v2 @t152))) % 0.38/0.82 (define @t160 () (not (tptp.rel_s4 @t1 @t152))) % 0.38/0.82 (define @t161 () (tptp.rel_s4 @t7 @t1)) % 0.38/0.82 (define @t162 () (not @t161)) % 0.38/0.82 (define @t163 () (or @t162 @t160 @t159)) % 0.38/0.82 (define @t164 () (@list @t1 @t152)) % 0.38/0.82 (define @t165 () (forall @t164 @t163)) % 0.38/0.82 (define @t166 () (tptp.v4 @t155)) % 0.38/0.82 (define @t167 () (not (tptp.rel_s4 @t1 @t155))) % 0.38/0.82 (define @t168 () (or @t162 @t167 @t166)) % 0.38/0.82 (define @t169 () (@list @t1 @t155)) % 0.38/0.82 (define @t170 () (forall @t169 @t168)) % 0.38/0.82 (define @t171 () (tptp.v1 @t1)) % 0.38/0.82 (define @t172 () (forall @t6 (or @t162 @t171))) % 0.38/0.82 (define @t173 () (_ tptp.v1 @t7)) % 0.38/0.82 (define @t174 () (or @t173 @t172 @t170 @t165)) % 0.38/0.82 (define @t175 () (lambda @t69 @t174)) % 0.38/0.82 (define @t176 () (_ @t175 @t7)) % 0.38/0.82 (define @t177 () (forall @t69 @t176)) % 0.38/0.82 (define @t178 () (_ @t54 @t7)) % 0.38/0.82 (define @t179 () (lambda @t117 (forall @t69 @t178))) % 0.38/0.82 (define @t180 () (or @t172 @t170 @t165)) % 0.38/0.82 (define @t181 () (lambda @t69 @t180)) % 0.38/0.82 (define @t182 () (_ @t181 @t7)) % 0.38/0.82 (define @t183 () (or @t173 @t182)) % 0.38/0.82 (define @t184 () (lambda @t69 @t183)) % 0.38/0.82 (define @t185 () (@list @t59 @t7)) % 0.38/0.82 (define @t186 () (lambda @t185 (or @t173 @t60))) % 0.38/0.82 (define @t187 () (or @t170 @t165)) % 0.38/0.82 (define @t188 () (lambda @t69 @t187)) % 0.38/0.82 (define @t189 () (_ @t188 @t7)) % 0.38/0.82 (define @t190 () (or @t172 @t189)) % 0.38/0.82 (define @t191 () (lambda @t69 @t190)) % 0.38/0.82 (define @t192 () (lambda @t69 @t165)) % 0.38/0.82 (define @t193 () (_ @t192 @t7)) % 0.38/0.82 (define @t194 () (or @t170 @t193)) % 0.38/0.82 (define @t195 () (lambda @t69 @t194)) % 0.38/0.82 (define @t196 () (or @t160 @t159)) % 0.38/0.82 (define @t197 () (or @t162 @t196)) % 0.38/0.82 (define @t198 () (forall @t164 @t197)) % 0.38/0.82 (define @t199 () (@list @t152)) % 0.38/0.82 (define @t200 () (forall @t199 @t197)) 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@t7)) % 0.38/0.82 (define @t220 () (not @t219)) % 0.38/0.82 (define @t221 () (lambda @t69 @t220)) % 0.38/0.82 (define @t222 () (_ @t221 @t1)) % 0.38/0.82 (define @t223 () (or @t162 @t222)) % 0.38/0.82 (define @t224 () (forall @t6 @t223)) % 0.38/0.82 (define @t225 () (lambda @t69 @t224)) % 0.38/0.82 (define @t226 () (lambda @t69 @t170)) % 0.38/0.82 (define @t227 () (_ @t226 @t7)) % 0.38/0.82 (define @t228 () (or @t227 @t60)) % 0.38/0.82 (define @t229 () (lambda @t185 @t228)) % 0.38/0.82 (define @t230 () (or @t167 @t166)) % 0.38/0.82 (define @t231 () (or @t162 @t230)) % 0.38/0.82 (define @t232 () (forall @t169 @t231)) % 0.38/0.82 (define @t233 () (@list @t155)) % 0.38/0.82 (define @t234 () (forall @t233 @t231)) % 0.38/0.82 (define @t235 () (forall @t233 @t230)) % 0.38/0.82 (define @t236 () (@var "BOUND_VARIABLE_8806" $$unsorted)) % 0.38/0.82 (define @t237 () (@list @t236)) % 0.38/0.82 (define @t238 () (or @t162 @t235)) % 0.38/0.82 (define @t239 () (tptp.v4 @t236)) % 0.38/0.82 (define @t240 () (@list @t236)) % 0.38/0.82 (define @t241 () (forall @t240 (or (not (tptp.rel_s4 @t1 @t236)) @t239))) % 0.38/0.82 (define @t242 () (tptp.v4 @t1)) % 0.38/0.82 (define @t243 () (forall @t6 (or @t162 @t242))) % 0.38/0.82 (define @t244 () (lambda @t69 @t243)) % 0.38/0.82 (define @t245 () (or @t162 (_ @t244 @t1))) % 0.38/0.82 (define @t246 () (forall @t6 @t245)) % 0.38/0.82 (define @t247 () (lambda @t69 @t246)) % 0.38/0.82 (define @t248 () (lambda @t69 @t172)) % 0.38/0.82 (define @t249 () (_ @t248 @t7)) % 0.38/0.82 (define @t250 () (or @t249 @t60)) % 0.38/0.82 (define @t251 () (lambda @t185 @t250)) % 0.38/0.82 (define @t252 () (@list @t130 @t130 @t130 @t130 @t130 @t130)) % 0.38/0.82 (define @t253 () (@var "BOUND_VARIABLE_10497" $$unsorted)) % 0.38/0.82 (define @t254 () (not (tptp.v1 @t253))) % 0.38/0.82 (define @t255 () (@var "BOUND_VARIABLE_10495" $$unsorted)) % 0.38/0.82 (define @t256 () (not (tptp.rel_s4 @t255 @t253))) % 0.38/0.82 (define @t257 () (not (tptp.rel_s4 @t7 @t255))) % 0.38/0.82 (define @t258 () (@var "BOUND_VARIABLE_10488" $$unsorted)) % 0.38/0.82 (define @t259 () (not (tptp.v3 @t258))) % 0.38/0.82 (define @t260 () (not (tptp.rel_s4 @t7 @t258))) % 0.38/0.82 (define @t261 () (@var "BOUND_VARIABLE_10481" $$unsorted)) % 0.38/0.82 (define @t262 () (not (tptp.v1 @t261))) % 0.38/0.82 (define @t263 () (not (tptp.rel_s4 @t7 @t261))) % 0.38/0.82 (define @t264 () (not @t144)) % 0.38/0.82 (define @t265 () (or @t264 @t263 @t262 @t260 @t259 @t257 @t256 @t254)) % 0.38/0.82 (define @t266 () (or @t257 @t256 @t254)) % 0.38/0.82 (define @t267 () (or @t260 @t259)) % 0.38/0.82 (define @t268 () (or @t263 @t262)) % 0.38/0.82 (define @t269 () (or @t264 @t268 @t267 @t266)) % 0.38/0.82 (define @t270 () (@list @t7 @t261 @t258 @t255 @t253)) % 0.38/0.82 (define @t271 () (forall @t270 @t269)) % 0.38/0.82 (define @t272 () (forall (@list @t261 @t258 @t255 @t253) @t269)) % 0.38/0.82 (define @t273 () (forall (@list @t255 @t253) @t266)) % 0.38/0.82 (define @t274 () (@var "BOUND_VARIABLE_8653" $$unsorted)) % 0.38/0.82 (define @t275 () (@list @t1 @t274)) % 0.38/0.82 (define @t276 () (forall (@list @t258) @t267)) % 0.38/0.82 (define @t277 () (forall (@list @t261) @t268)) % 0.38/0.82 (define @t278 () (or @t264 @t277 @t276 @t273)) % 0.38/0.82 (define @t279 () (not (tptp.v1 @t274))) % 0.38/0.82 (define @t280 () (not (tptp.rel_s4 @t1 @t274))) % 0.38/0.82 (define @t281 () (or @t162 @t280 @t279)) % 0.38/0.82 (define @t282 () (@list @t1 @t274)) % 0.38/0.82 (define @t283 () (forall @t282 @t281)) % 0.38/0.82 (define @t284 () (tptp.v3 @t1)) % 0.38/0.82 (define @t285 () (forall @t6 (or @t162 (not @t284)))) % 0.38/0.82 (define @t286 () (forall @t6 (or @t162 (not @t171)))) % 0.38/0.82 (define @t287 () (not @t173)) % 0.38/0.82 (define @t288 () (or @t287 @t286 @t285 @t283)) % 0.38/0.82 (define @t289 () (lambda @t69 @t288)) % 0.38/0.82 (define @t290 () (_ @t289 @t7)) % 0.38/0.82 (define @t291 () (forall @t69 @t290)) % 0.38/0.82 (define @t292 () (or @t286 @t285 @t283)) % 0.38/0.82 (define @t293 () (lambda @t69 @t292)) % 0.38/0.82 (define @t294 () (_ @t293 @t7)) % 0.38/0.82 (define @t295 () (or @t287 @t294)) % 0.38/0.82 (define @t296 () (lambda @t69 @t295)) % 0.38/0.82 (define @t297 () (or @t285 @t283)) % 0.38/0.82 (define @t298 () (lambda @t69 @t297)) % 0.38/0.82 (define @t299 () (_ @t298 @t7)) % 0.38/0.82 (define @t300 () (or @t286 @t299)) % 0.38/0.82 (define @t301 () (lambda @t69 @t300)) % 0.38/0.82 (define @t302 () (lambda @t69 @t283)) % 0.38/0.82 (define @t303 () (_ @t302 @t7)) % 0.38/0.82 (define @t304 () (or @t285 @t303)) % 0.38/0.82 (define @t305 () (lambda @t69 @t304)) % 0.38/0.82 (define @t306 () (or @t280 @t279)) % 0.38/0.82 (define @t307 () (or @t162 @t306)) % 0.38/0.82 (define @t308 () (forall @t282 @t307)) % 0.38/0.82 (define @t309 () (@list @t274)) % 0.38/0.82 (define @t310 () (forall @t309 @t307)) % 0.38/0.82 (define @t311 () (forall @t309 @t306)) % 0.38/0.82 (define @t312 () (@var "BOUND_VARIABLE_8636" $$unsorted)) % 0.38/0.82 (define @t313 () (@list @t312)) % 0.38/0.82 (define @t314 () (or @t162 @t311)) % 0.38/0.82 (define @t315 () (not (tptp.v1 @t312))) % 0.38/0.82 (define @t316 () (@list @t312)) % 0.38/0.82 (define @t317 () (forall @t316 (or (not (tptp.rel_s4 @t1 @t312)) @t315))) % 0.38/0.82 (define @t318 () (lambda @t69 @t286)) % 0.38/0.82 (define @t319 () (or @t162 (_ @t318 @t1))) % 0.38/0.82 (define @t320 () (forall @t6 @t319)) % 0.38/0.82 (define @t321 () (lambda @t69 @t320)) % 0.38/0.82 (define @t322 () (_ tptp.v1 @t1)) % 0.38/0.82 (define @t323 () (not @t322)) % 0.38/0.82 (define @t324 () (or @t162 @t323)) % 0.38/0.82 (define @t325 () (lambda @t69 @t287)) % 0.38/0.82 (define @t326 () (_ @t325 @t1)) % 0.38/0.82 (define @t327 () (or @t162 @t326)) % 0.38/0.82 (define @t328 () (forall @t6 @t327)) % 0.38/0.82 (define @t329 () (lambda @t69 @t328)) % 0.38/0.82 (define @t330 () (lambda @t69 @t285)) % 0.38/0.82 (define @t331 () (_ @t330 @t7)) % 0.38/0.82 (define @t332 () (or @t331 @t60)) % 0.38/0.82 (define @t333 () (lambda @t185 @t332)) % 0.38/0.82 (define @t334 () (_ tptp.v3 @t1)) % 0.38/0.82 (define @t335 () (not @t334)) % 0.38/0.82 (define @t336 () (or @t162 @t335)) % 0.38/0.82 (define @t337 () (_ tptp.v3 @t7)) % 0.38/0.82 (define @t338 () (not @t337)) % 0.38/0.82 (define @t339 () (lambda @t69 @t338)) % 0.38/0.82 (define @t340 () (_ @t339 @t1)) % 0.38/0.82 (define @t341 () (or @t162 @t340)) % 0.38/0.82 (define @t342 () (forall @t6 @t341)) % 0.38/0.82 (define @t343 () (lambda @t69 @t342)) % 0.38/0.82 (define @t344 () (_ @t318 @t7)) % 0.38/0.82 (define @t345 () (or @t344 @t60)) % 0.38/0.82 (define @t346 () (lambda @t185 @t345)) % 0.38/0.82 (define @t347 () (_ @t325 @t7)) % 0.38/0.82 (define @t348 () (or @t347 @t60)) % 0.38/0.82 (define @t349 () (lambda @t185 @t348)) % 0.38/0.82 (define @t350 () (@list @t130 @t130 @t130 @t130 @t130)) % 0.38/0.82 (define @t351 () (tptp.v1 @t130)) % 0.38/0.82 (define @t352 () (not @t351)) % 0.38/0.82 (define @t353 () (tptp.rel_s4 @t130 @t130)) % 0.38/0.82 (define 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0.38/0.82 (define @t612 () (tptp.v2 @t609)) % 0.38/0.82 (define @t613 () (@list @t609)) % 0.38/0.82 (define @t614 () (forall @t613 (or (not (tptp.rel_s4 @t1 @t609)) @t612))) % 0.38/0.82 (define @t615 () (forall @t6 (or @t162 @t208))) % 0.38/0.82 (define @t616 () (lambda @t69 @t615)) % 0.38/0.82 (define @t617 () (or @t162 (_ @t616 @t1))) % 0.38/0.82 (define @t618 () (forall @t6 @t617)) % 0.38/0.82 (define @t619 () (lambda @t69 @t618)) % 0.38/0.82 (define @t620 () (_ @t244 @t7)) % 0.38/0.82 (define @t621 () (or @t620 @t60)) % 0.38/0.82 (define @t622 () (lambda @t185 @t621)) % 0.38/0.82 (define @t623 () (or @t355 @t354 @t439 @t354 @t354 @t441 @t354 @t354 @t355)) % 0.38/0.82 (define @t624 () (@var "BOUND_VARIABLE_9011" $$unsorted)) % 0.38/0.82 (define @t625 () (tptp.v1 @t624)) % 0.38/0.82 (define @t626 () (@var "BOUND_VARIABLE_9009" $$unsorted)) % 0.38/0.82 (define @t627 () (not (tptp.rel_s4 @t626 @t624))) % 0.38/0.82 (define @t628 () (not (tptp.rel_s4 @t7 @t626))) % 0.38/0.82 (define @t629 () (@var "BOUND_VARIABLE_9002" $$unsorted)) % 0.38/0.82 (define @t630 () (not (tptp.v4 @t629))) % 0.38/0.82 (define @t631 () (not (tptp.rel_s4 @t7 @t629))) % 0.38/0.82 (define @t632 () (not @t371)) % 0.38/0.82 (define @t633 () (or @t628 @t627 @t625)) % 0.38/0.82 (define @t634 () (or @t631 @t630)) % 0.38/0.82 (define @t635 () (or @t144 @t632 @t634 @t633)) % 0.38/0.82 (define @t636 () (forall (@list @t7 @t629 @t626 @t624) @t635)) % 0.38/0.82 (define @t637 () (forall (@list @t629 @t626 @t624) @t635)) % 0.38/0.82 (define @t638 () (forall (@list @t626 @t624) @t633)) % 0.38/0.82 (define @t639 () (@var "BOUND_VARIABLE_8961" $$unsorted)) % 0.38/0.82 (define @t640 () (forall (@list @t629) @t634)) % 0.38/0.82 (define @t641 () (or @t144 @t632 @t640 @t638)) % 0.38/0.82 (define @t642 () (tptp.v1 @t639)) % 0.38/0.82 (define @t643 () (not (tptp.rel_s4 @t1 @t639))) % 0.38/0.82 (define @t644 () (or @t162 @t643 @t642)) % 0.38/0.82 (define @t645 () (@list @t1 @t639)) % 0.38/0.82 (define @t646 () (forall @t645 @t644)) % 0.38/0.82 (define @t647 () (or @t173 @t338 @t419 @t646)) % 0.38/0.82 (define @t648 () (lambda @t69 @t647)) % 0.38/0.82 (define @t649 () (_ @t648 @t7)) % 0.38/0.82 (define @t650 () (forall @t69 @t649)) % 0.38/0.82 (define @t651 () (or @t338 @t419 @t646)) % 0.38/0.82 (define @t652 () (lambda @t69 @t651)) % 0.38/0.82 (define @t653 () (_ @t652 @t7)) % 0.38/0.82 (define @t654 () (or @t173 @t653)) % 0.38/0.82 (define @t655 () (lambda @t69 @t654)) % 0.38/0.82 (define @t656 () (or @t419 @t646)) % 0.38/0.82 (define @t657 () (lambda @t69 @t656)) % 0.38/0.82 (define @t658 () (_ @t657 @t7)) % 0.38/0.82 (define @t659 () (or @t338 @t658)) % 0.38/0.82 (define @t660 () (lambda @t69 @t659)) % 0.38/0.82 (define @t661 () (lambda @t185 (or @t338 @t60))) % 0.38/0.82 (define @t662 () (lambda @t69 @t646)) % 0.38/0.82 (define @t663 () (_ @t662 @t7)) % 0.38/0.82 (define @t664 () (or @t419 @t663)) % 0.38/0.82 (define @t665 () (lambda @t69 @t664)) % 0.38/0.82 (define @t666 () (or @t643 @t642)) % 0.38/0.82 (define @t667 () (or @t162 @t666)) % 0.38/0.82 (define @t668 () (forall @t645 @t667)) % 0.38/0.82 (define @t669 () (@list @t639)) % 0.38/0.82 (define @t670 () (forall @t669 @t667)) % 0.38/0.82 (define @t671 () (forall @t669 @t666)) % 0.38/0.82 (define @t672 () (@var "BOUND_VARIABLE_8945" $$unsorted)) % 0.38/0.82 (define @t673 () (@list @t672)) % 0.38/0.82 (define @t674 () (or @t162 @t671)) % 0.38/0.82 (define @t675 () (tptp.v1 @t672)) % 0.38/0.82 (define @t676 () (@list @t672)) % 0.38/0.82 (define @t677 () (forall @t676 (or (not (tptp.rel_s4 @t1 @t672)) @t675))) % 0.38/0.82 (define @t678 () (or @t162 (_ @t248 @t1))) % 0.38/0.82 (define @t679 () (forall @t6 @t678)) % 0.38/0.82 (define @t680 () (lambda @t69 @t679)) % 0.38/0.82 (define @t681 () (_ @t339 @t7)) % 0.38/0.82 (define @t682 () (or @t681 @t60)) % 0.38/0.82 (define @t683 () (lambda @t185 @t682)) % 0.38/0.82 (define @t684 () (or @t351 @t356 @t354 @t440 @t354 @t354 @t351)) % 0.38/0.82 (define @t685 () (@var "BOUND_VARIABLE_9164" $$unsorted)) % 0.38/0.82 (define @t686 () (not (tptp.v3 @t685))) % 0.38/0.82 (define @t687 () (@var "BOUND_VARIABLE_9162" $$unsorted)) % 0.38/0.82 (define @t688 () (not (tptp.rel_s4 @t687 @t685))) % 0.38/0.82 (define @t689 () (not (tptp.rel_s4 @t7 @t687))) % 0.38/0.82 (define @t690 () (@var "BOUND_VARIABLE_9154" $$unsorted)) % 0.38/0.82 (define @t691 () (tptp.v2 @t690)) % 0.38/0.82 (define @t692 () (@var "BOUND_VARIABLE_9152" $$unsorted)) % 0.38/0.82 (define @t693 () (not (tptp.rel_s4 @t692 @t690))) % 0.38/0.82 (define @t694 () (not (tptp.rel_s4 @t7 @t692))) % 0.38/0.82 (define @t695 () (or @t689 @t688 @t686)) % 0.38/0.82 (define @t696 () (or @t694 @t693 @t691)) % 0.38/0.82 (define @t697 () (or @t144 @t632 @t696 @t695)) % 0.38/0.82 (define @t698 () (forall (@list @t7 @t692 @t690 @t687 @t685) @t697)) % 0.38/0.82 (define @t699 () (forall (@list @t692 @t690 @t687 @t685) @t697)) % 0.38/0.82 (define @t700 () (forall (@list @t687 @t685) @t695)) % 0.38/0.82 (define @t701 () (@var "BOUND_VARIABLE_9112" $$unsorted)) % 0.38/0.82 (define @t702 () (forall (@list @t692 @t690) @t696)) % 0.38/0.82 (define @t703 () (or @t144 @t632 @t702 @t700)) % 0.38/0.82 (define @t704 () (not (tptp.v3 @t701))) % 0.38/0.82 (define @t705 () (not (tptp.rel_s4 @t1 @t701))) % 0.38/0.82 (define @t706 () (or @t162 @t705 @t704)) % 0.38/0.82 (define @t707 () (@list @t1 @t701)) % 0.38/0.82 (define @t708 () (forall @t707 @t706)) % 0.38/0.82 (define @t709 () (or @t173 @t338 @t581 @t708)) % 0.38/0.82 (define @t710 () (lambda @t69 @t709)) % 0.38/0.82 (define @t711 () (_ @t710 @t7)) % 0.38/0.82 (define @t712 () (forall @t69 @t711)) % 0.38/0.82 (define @t713 () (or @t338 @t581 @t708)) % 0.38/0.82 (define @t714 () (lambda @t69 @t713)) % 0.38/0.82 (define @t715 () (_ @t714 @t7)) % 0.38/0.82 (define @t716 () (or @t173 @t715)) % 0.38/0.82 (define @t717 () (lambda @t69 @t716)) % 0.38/0.82 (define @t718 () (or @t581 @t708)) % 0.38/0.82 (define @t719 () (lambda @t69 @t718)) % 0.38/0.82 (define @t720 () (_ @t719 @t7)) % 0.38/0.82 (define @t721 () (or @t338 @t720)) % 0.38/0.82 (define @t722 () (lambda @t69 @t721)) % 0.38/0.82 (define @t723 () (lambda @t69 @t708)) % 0.38/0.82 (define @t724 () (_ @t723 @t7)) % 0.38/0.82 (define @t725 () (or @t581 @t724)) % 0.38/0.82 (define @t726 () (lambda @t69 @t725)) % 0.38/0.82 (define @t727 () (or @t705 @t704)) % 0.38/0.82 (define @t728 () (or @t162 @t727)) % 0.38/0.82 (define @t729 () (forall @t707 @t728)) % 0.38/0.82 (define @t730 () (@list @t701)) % 0.38/0.82 (define @t731 () (forall @t730 @t728)) % 0.38/0.82 (define @t732 () (forall @t730 @t727)) % 0.38/0.82 (define @t733 () (@var "BOUND_VARIABLE_9095" $$unsorted)) % 0.38/0.82 (define @t734 () (@list @t733)) % 0.38/0.82 (define @t735 () (or @t162 @t732)) % 0.38/0.82 (define @t736 () (not (tptp.v3 @t733))) % 0.38/0.82 (define @t737 () (@list @t733)) % 0.38/0.82 (define @t738 () (forall @t737 (or (not (tptp.rel_s4 @t1 @t733)) @t736))) % 0.38/0.82 (define @t739 () (or @t162 (_ @t330 @t1))) % 0.38/0.82 (define @t740 () (forall @t6 @t739)) % 0.38/0.82 (define @t741 () (lambda @t69 @t740)) % 0.38/0.82 (define @t742 () (or @t351 @t356 @t354 @t354 @t441 @t354 @t354 @t356)) % 0.38/0.82 (define @t743 () (or @t351 @t354 @t351 @t354 @t354 @t439 @t354 @t354 @t442)) % 0.38/0.82 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.82 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.38/0.82 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.38/0.82 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.38/0.82 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.38/0.82 (assume @p6 (_ tptp.mvalid (_ @t17 (_ @t16 (_ @t15 @t11))))) % 0.38/0.82 (assume @p7 (_ tptp.mvalid (_ @t17 (_ @t21 (_ @t20 @t14))))) % 0.38/0.82 (assume @p8 (_ tptp.mvalid (_ @t17 (_ @t29 @t27)))) % 0.38/0.82 (assume @p9 (_ tptp.mvalid (_ @t17 (_ @t29 (_ @t33 @t31))))) % 0.38/0.82 (assume @p10 (_ tptp.mvalid (_ @t17 (_ (_ tptp.mor @t22) @t34)))) % 0.38/0.82 (assume @p11 (_ tptp.mvalid (_ @t17 (_ @t35 (_ @t33 @t11))))) % 0.38/0.82 (assume @p12 (_ tptp.mvalid (_ @t17 (_ @t37 (_ @t15 @t36))))) % 0.38/0.82 (assume @p13 (_ tptp.mvalid (_ @t40 (_ @t39 @t38)))) % 0.38/0.82 (assume @p14 (_ tptp.mvalid (_ @t40 (_ @t29 @t38)))) % 0.38/0.82 (assume @p15 (_ tptp.mvalid (_ @t40 (_ @t41 (_ @t26 @t36))))) % 0.38/0.82 (assume @p16 (_ tptp.mvalid (_ @t40 (_ @t43 @t42)))) % 0.38/0.82 (assume @p17 (_ tptp.mvalid (_ @t16 (_ @t44 @t27)))) % 0.38/0.82 (assume @p18 (_ tptp.mvalid (_ @t16 (_ @t39 (_ @t41 @t32))))) % 0.38/0.82 (assume @p19 (_ tptp.mvalid (_ @t16 (_ @t39 (_ @t37 @t19))))) % 0.38/0.82 (assume @p20 (_ tptp.mvalid (_ @t16 (_ @t21 (_ (_ tptp.mor @t11) @t36))))) % 0.38/0.82 (assume @p21 (_ tptp.mvalid (_ @t16 (_ @t43 @t47)))) % 0.38/0.82 (assume @p22 (_ tptp.mvalid (_ @t16 (_ @t35 @t38)))) % 0.38/0.82 (assume @p23 (_ tptp.mvalid (_ @t16 (_ @t37 @t47)))) % 0.38/0.82 (assume @p24 (_ tptp.mvalid (_ @t16 (_ @t48 (_ (_ tptp.mor @t31) @t36))))) % 0.38/0.82 (assume @p25 (_ tptp.mvalid (_ @t44 (_ @t21 (_ @t49 @t32))))) % 0.38/0.82 (assume @p26 (_ tptp.mvalid (_ @t44 (_ @t21 (_ @t48 @t14))))) % 0.38/0.82 (assume @p27 (_ tptp.mvalid (_ @t39 (_ @t29 @t47)))) % 0.38/0.82 (assume @p28 (_ tptp.mvalid (_ @t39 (_ @t41 (_ @t50 @t19))))) % 0.38/0.82 (assume @p29 (_ tptp.mvalid (_ @t39 (_ @t41 (_ @t48 @t11))))) % 0.38/0.82 (assume @p30 (_ tptp.mvalid (_ @t39 (_ @t49 (_ @t37 @t14))))) % 0.38/0.82 (assume @p31 (_ tptp.mvalid (_ @t29 (_ @t35 @t42)))) % 0.38/0.82 (assume @p32 (_ tptp.mvalid (_ @t29 (_ @t33 @t34)))) % 0.38/0.82 (assume @p33 (_ tptp.mvalid (_ @t41 (_ (_ tptp.mor @t45) (_ @t15 @t31))))) % 0.38/0.82 (assume @p34 (_ tptp.mvalid (_ @t41 (_ @t50 (_ @t48 @t31))))) % 0.38/0.82 (assume @p35 (_ tptp.mvalid (_ @t41 (_ @t33 (_ @t48 @t36))))) % 0.38/0.82 (assume @p36 (_ tptp.mvalid (_ tptp.mdia_s4 tptp.mtrue))) % 0.38/0.82 (assume @p37 (not (_ tptp.mvalid tptp.mfalse))) % 0.38/0.82 (assume @p38 true) % 0.38/0.82 (step @p39 (= tptp.meq_prop @t53) :rule refl :args (@t53)) % 0.38/0.82 (step @p40 (= tptp.mnot @t58) :rule refl :args (@t58)) % 0.38/0.82 (step @p41 (= tptp.mor @t61) :rule refl :args (@t61)) % 0.38/0.82 (step @p42 (= tptp.mbox @t64) :rule refl :args (@t64)) % 0.38/0.82 (step @p43 (= tptp.mforall_prop @t68) :rule refl :args (@t68)) % 0.38/0.82 (step @p44 (= tptp.mtrue @t70) :rule refl :args (@t70)) % 0.38/0.82 (step @p45 (= tptp.mand @t76) :rule refl :args (@t76)) % 0.38/0.82 (step @p46 (= tptp.mimplies @t77) :rule refl :args (@t77)) % 0.38/0.82 (step @p47 (= tptp.mimplied @t78) :rule refl :args (@t78)) % 0.38/0.82 (step @p48 (= tptp.mequiv @t79) :rule refl :args (@t79)) % 0.38/0.82 (step @p49 (= tptp.mxor @t80) :rule refl :args (@t80)) % 0.38/0.82 (step @p50 (= tptp.mdia @t81) :rule refl :args (@t81)) % 0.38/0.82 (step @p51 (= tptp.mforall_ind @t84) :rule refl :args (@t84)) % 0.38/0.82 (step @p52 (= tptp.mexists_ind @t85) :rule refl :args (@t85)) % 0.38/0.82 (step @p53 (= tptp.mexists_prop @t86) :rule refl :args (@t86)) % 0.38/0.82 (step @p54 (= tptp.mreflexive @t93) :rule refl :args (@t93)) % 0.38/0.82 (step @p55 (= tptp.msymmetric @t97) :rule refl :args (@t97)) % 0.38/0.82 (step @p56 (= tptp.mserial @t99) :rule refl :args (@t99)) % 0.38/0.82 (step @p57 (= tptp.mtransitive @t104) :rule refl :args (@t104)) % 0.38/0.82 (step @p58 (= tptp.meuclidean @t106) :rule refl :args (@t106)) % 0.38/0.82 (step @p59 (= tptp.mpartially_functional @t108) :rule refl :args (@t108)) % 0.38/0.82 (step @p60 (= tptp.mfunctional @t110) :rule refl :args (@t110)) % 0.38/0.82 (step @p61 (= tptp.mweakly_dense @t113) :rule refl :args (@t113)) % 0.38/0.82 (step @p62 (= tptp.mweakly_connected @t114) :rule refl :args (@t114)) % 0.38/0.82 (step @p63 (= tptp.mweakly_directed @t115) :rule refl :args (@t115)) % 0.38/0.82 (step @p64 (= tptp.mvalid @t118) :rule refl :args (@t118)) % 0.38/0.82 (step @p65 (= tptp.msatisfiable @t119) :rule refl :args (@t119)) % 0.38/0.82 (step @p66 (= tptp.mcountersatisfiable @t120) :rule refl :args (@t120)) % 0.38/0.82 (step @p67 (= tptp.minvalid @t121) :rule refl :args (@t121)) % 0.38/0.82 (step @p68 (= tptp.mbox_s4 @t126) :rule refl :args (@t126)) % 0.38/0.82 (step @p69 (= tptp.mdia_s4 @t127) :rule refl :args (@t127)) % 0.38/0.82 (step @p70 :rule beta-reduce :args ((= (_ (lambda @t92 (forall @t90 @t129)) tptp.rel_s4) @t128))) % 0.38/0.82 (step @p71 :rule refl :args (tptp.rel_s4)) % 0.38/0.82 (step @p72 :rule refl :args (@t129)) % 0.38/0.82 (step @p73 :rule refl :args (@t89)) % 0.38/0.82 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t89 @t129))) % 0.38/0.82 (step @p75 :rule symm :premises (@p74)) % 0.38/0.82 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.38/0.82 (step @p77 :rule cong :premises (@p76) :args (@t91)) % 0.38/0.82 (step @p78 :rule cong :premises (@p77) :args (@t93)) % 0.38/0.82 (step @p79 :rule trans :premises (@p54 @p78)) % 0.38/0.82 (step @p80 :rule ho_cong :premises (@p79 @p71)) % 0.38/0.82 (step @p81 :rule trans :premises (@p80 @p70)) % 0.38/0.82 (step @p82 :rule eq_resolve :premises (@p3 @p81)) % 0.38/0.82 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t130))) % 0.38/0.82 (step @p84 :rule aci_norm :args ((= @t148 (or @t144 @t143 @t142 @t140 @t139 @t137 @t135 @t134 @t132)))) % 0.38/0.82 (step @p85 :rule cong :premises (@p84) :args (@t149)) % 0.38/0.82 (step @p86 :rule quant-merge-prenex :args ((= (forall @t69 @t150) @t149))) % 0.38/0.82 (step @p87 :rule alpha_equiv :args (@t151 (@list @t133 @t131) @t153)) % 0.38/0.82 (step @p88 :rule alpha_equiv :args (@t154 (@list @t138 @t136) (@list @t1 @t155))) % 0.38/0.82 (step @p89 :rule alpha_equiv :args (@t156 (@list @t141) @t157)) % 0.38/0.82 (step @p90 :rule refl :args (@t144)) % 0.38/0.82 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87) :args (@t158)) % 0.38/0.82 (step @p92 :rule quant-miniscope-or :args ((= @t150 @t158))) % 0.38/0.82 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.82 (step @p94 :rule symm :premises (@p93)) % 0.38/0.82 (step @p95 :rule cong :premises (@p94) :args ((forall @t69 (or @t144 @t172 @t170 @t165)))) % 0.38/0.82 (step @p96 :rule trans :premises (@p95 @p86)) % 0.38/0.82 (step @p97 :rule trans :premises (@p96 @p85)) % 0.38/0.82 (step @p98 :rule refl :args (@t165)) % 0.38/0.82 (step @p99 :rule refl :args (@t170)) % 0.38/0.82 (step @p100 :rule refl :args (@t172)) % 0.38/0.82 (step @p101 :rule refl :args (@t144)) % 0.38/0.82 (step @p102 :rule refl :args (@t173)) % 0.38/0.82 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t173 @t144))) % 0.38/0.82 (step @p104 :rule symm :premises (@p103)) % 0.38/0.82 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.38/0.82 (step @p106 :rule nary_cong :premises (@p105 @p100 @p99 @p98) :args (@t174)) % 0.38/0.82 (step @p107 :rule cong :premises (@p106) :args ((forall @t69 @t174))) % 0.38/0.82 (step @p108 :rule trans :premises (@p107 @p97)) % 0.38/0.82 (step @p109 :rule beta-reduce :args ((= @t176 @t174))) % 0.38/0.82 (step @p110 :rule cong :premises (@p109) :args (@t177)) % 0.38/0.82 (step @p111 :rule trans :premises (@p110 @p108)) % 0.38/0.82 (step @p112 :rule beta-reduce :args ((= (_ @t179 @t175) @t177))) % 0.38/0.82 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.82 (step @p114 :rule aci_norm :args ((= (or @t173 @t180) @t174))) % 0.38/0.82 (step @p115 :rule beta-reduce :args ((= @t182 @t180))) % 0.38/0.82 (step @p116 :rule refl :args (@t173)) % 0.38/0.82 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t183)) % 0.38/0.82 (step @p118 :rule trans :premises (@p117 @p114)) % 0.38/0.82 (step @p119 :rule cong :premises (@p118) :args (@t184)) % 0.38/0.82 (step @p120 :rule beta-reduce :args ((= (_ @t186 @t181) @t184))) % 0.38/0.82 (step @p121 :rule trans :premises (@p120 @p119)) % 0.38/0.82 (step @p122 :rule aci_norm :args ((= (or @t172 @t187) @t180))) % 0.38/0.82 (step @p123 :rule beta-reduce :args ((= @t189 @t187))) % 0.38/0.82 (step @p124 :rule refl :args (@t172)) % 0.38/0.82 (step @p125 :rule nary_cong :premises (@p124 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@t712))) % 0.38/0.82 (step @p979 :rule trans :premises (@p978 @p977)) % 0.38/0.82 (step @p980 :rule aci_norm :args ((= (or @t173 @t713) @t709))) % 0.38/0.82 (step @p981 :rule beta-reduce :args ((= @t715 @t713))) % 0.38/0.82 (step @p982 :rule nary_cong :premises (@p116 @p981) :args (@t716)) % 0.38/0.82 (step @p983 :rule trans :premises (@p982 @p980)) % 0.38/0.82 (step @p984 :rule cong :premises (@p983) :args (@t717)) % 0.38/0.82 (step @p985 :rule beta-reduce :args ((= (_ @t186 @t714) @t717))) % 0.38/0.82 (step @p986 :rule trans :premises (@p985 @p984)) % 0.38/0.82 (step @p987 :rule aci_norm :args ((= (or @t338 @t718) @t713))) % 0.38/0.82 (step @p988 :rule beta-reduce :args ((= @t720 @t718))) % 0.38/0.82 (step @p989 :rule nary_cong :premises (@p897 @p988) :args (@t721)) % 0.38/0.82 (step @p990 :rule trans :premises (@p989 @p987)) % 0.38/0.82 (step @p991 :rule cong :premises (@p990) :args (@t722)) % 0.38/0.82 (step @p992 :rule beta-reduce :args ((= (_ @t661 @t719) @t722))) % 0.38/0.82 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0.38/0.82 (step @p1036 :rule trans :premises (@p1035 @p1030)) % 0.38/0.82 (step @p1037 :rule eq_resolve :premises (@p9 @p1036)) % 0.38/0.82 (step @p1038 :rule instantiate :premises (@p1037) :args (@t350)) % 0.38/0.82 (step @p1039 :rule cnf_or_pos :args (@t742)) % 0.38/0.82 (step @p1040 :rule factoring :premises (@p1039)) % 0.38/0.82 (step @p1041 :rule reordering :premises (@p1040) :args ((or @t354 @t351 @t441 @t356 (not @t742)))) % 0.38/0.82 (step @p1042 :rule cnf_or_pos :args (@t743)) % 0.38/0.82 (step @p1043 :rule factoring :premises (@p1042)) % 0.38/0.82 (step @p1044 :rule reordering :premises (@p1043) :args ((or @t354 @t351 @t442 @t439 (not @t743)))) % 0.38/0.82 (step @p1045 :rule chain_m_resolution :premises (@p1044 @p864 @p275 @p83 @p1041 @p864 @p1038 @p83 @p958 @p864 @p955 @p83) :args (@t356 (@list true false false false true false false true true false false) (@list @t351 @t743 @t353 @t441 @t351 @t742 @t353 @t439 @t351 @t684 @t353))) % 0.38/0.82 (step @p1046 :rule chain_m_resolution :premises (@p575 @p1045 @p572 @p83 @p759 @p756 @p83) :args (@t440 (@list true false false false false false) (@list @t355 @t443 @t353 @t441 @t551 @t353))) % 0.38/0.82 (step @p1047 :rule chain_m_resolution :premises (@p863 @p83 @p1045 @p1046 @p860) :args (@t441 (@list false true true false) (@list @t353 @t355 @t439 @t623))) % 0.38/0.82 (step @p1048 false :rule chain_m_resolution :premises (@p1044 @p1047 @p1046 @p864 @p275 @p83) :args (false (@list false true true false false) (@list @t441 @t439 @t351 @t743 @t353))) % 0.38/0.82 ) % 0.38/0.82 % SZS output end Proof % 0.38/0.82 % cvc5 exiting %------------------------------------------------------------------------------