%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO570^7 : 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 : n028.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 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO570^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:21:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort tptp.mu 0) % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.r (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.63 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.44/0.63 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.63 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.63 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.63 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.63 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.63 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.44/0.63 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.63 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.63 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.63 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.63 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.63 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.63 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.63 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.63 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.44/0.63 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.44/0.63 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.44/0.63 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.44/0.63 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.44/0.63 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.44/0.63 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.44/0.63 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.44/0.63 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.44/0.63 (define @t1 () (@var "V" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "X" tptp.mu)) % 0.44/0.63 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.44/0.63 (define @t4 () (_ @t3 @t1)) % 0.44/0.63 (define @t5 () (@list @t2)) % 0.44/0.63 (define @t6 () (@list @t1)) % 0.44/0.63 (define @t7 () (@var "W" $$unsorted)) % 0.44/0.63 (define @t8 () (_ @t3 @t7)) % 0.44/0.63 (define @t9 () (_ (_ tptp.rel_s4 @t1) @t7)) % 0.44/0.63 (define @t10 () (and @t4 @t9)) % 0.44/0.63 (define @t11 () (@list @t2 @t1 @t7)) % 0.44/0.63 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.44/0.63 (define @t13 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.63 (define @t14 () (@var "Y" tptp.mu)) % 0.44/0.63 (define @t15 () (_ tptp.r @t2)) % 0.44/0.63 (define @t16 () (_ @t15 @t14)) % 0.44/0.63 (define @t17 () (@list @t14 @t13)) % 0.44/0.63 (define @t18 () (lambda @t17 (_ (_ tptp.mbox_s4 @t16) @t13))) % 0.44/0.63 (define @t19 () (@list @t2 @t13)) % 0.44/0.63 (define @t20 () (lambda @t19 (_ (_ tptp.mforall_ind @t18) @t13))) % 0.44/0.63 (define @t21 () (lambda @t17 (_ @t16 @t13))) % 0.44/0.63 (define @t22 () (lambda @t19 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind @t21)) @t13))) % 0.44/0.63 (define @t23 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mforall_ind @t22)) (_ tptp.mforall_ind @t20))))) % 0.44/0.63 (define @t24 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.63 (define @t25 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.63 (define @t26 () (lambda (@list @t25 @t24 @t7) (= (_ @t25 @t7) (_ @t24 @t7)))) % 0.44/0.63 (define @t27 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.63 (define @t28 () (_ @t27 @t7)) % 0.44/0.63 (define @t29 () (not @t28)) % 0.44/0.63 (define @t30 () (@list @t27 @t7)) % 0.44/0.63 (define @t31 () (lambda @t30 @t29)) % 0.44/0.63 (define @t32 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.63 (define @t33 () (_ @t32 @t7)) % 0.44/0.63 (define @t34 () (lambda (@list @t27 @t32 @t7) (or @t28 @t33))) % 0.44/0.63 (define @t35 () (_ @t27 @t1)) % 0.44/0.63 (define @t36 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.63 (define @t37 () (lambda (@list @t36 @t27 @t7) (forall @t6 (or (not (_ (_ @t36 @t7) @t1)) @t35)))) % 0.44/0.63 (define @t38 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.63 (define @t39 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.63 (define @t40 () (_ @t39 @t38)) % 0.44/0.63 (define @t41 () (lambda (@list @t39 @t7) (forall (@list @t38) (_ @t40 @t7)))) % 0.44/0.63 (define @t42 () (@list @t7)) % 0.44/0.63 (define @t43 () (lambda @t42 true)) % 0.44/0.63 (define @t44 () (_ tptp.mnot @t32)) % 0.44/0.63 (define @t45 () (_ tptp.mnot @t27)) % 0.44/0.63 (define @t46 () (_ tptp.mor @t45)) % 0.44/0.63 (define @t47 () (@list @t27 @t32 @t13)) % 0.44/0.63 (define @t48 () (lambda @t47 (_ (_ tptp.mnot (_ @t46 @t44)) @t13))) % 0.44/0.63 (define @t49 () (lambda @t47 (_ (_ @t46 @t32) @t13))) % 0.44/0.63 (define @t50 () (lambda @t47 (_ (_ (_ tptp.mor @t44) @t27) @t13))) % 0.44/0.63 (define @t51 () (lambda @t47 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t27) @t32)) (_ (_ tptp.mimplies @t32) @t27)) @t13))) % 0.44/0.63 (define @t52 () (lambda @t47 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t27) @t32)) @t13))) % 0.44/0.63 (define @t53 () (lambda (@list @t36 @t27 @t13) (_ (_ tptp.mnot (_ (_ tptp.mbox @t36) @t45)) @t13))) % 0.44/0.63 (define @t54 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.63 (define @t55 () (_ @t54 @t2)) % 0.44/0.63 (define @t56 () (_ @t55 @t7)) % 0.44/0.63 (define @t57 () (forall @t5 (=> @t8 @t56))) % 0.44/0.63 (define @t58 () (@list @t54 @t7)) % 0.44/0.63 (define @t59 () (lambda @t58 @t57)) % 0.44/0.63 (define @t60 () (lambda (@list @t54 @t13) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t19 (_ (_ tptp.mnot @t55) @t13)))) @t13))) % 0.44/0.63 (define @t61 () (lambda (@list @t39 @t13) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t38 @t13) (_ (_ tptp.mnot @t40) @t13)))) @t13))) % 0.44/0.63 (define @t62 () (@var "S" $$unsorted)) % 0.44/0.63 (define @t63 () (_ @t36 @t62)) % 0.44/0.63 (define @t64 () (@list @t62)) % 0.44/0.63 (define @t65 () (@list @t36)) % 0.44/0.63 (define @t66 () (lambda @t65 (forall @t64 (_ @t63 @t62)))) % 0.44/0.63 (define @t67 () (@var "T" $$unsorted)) % 0.44/0.63 (define @t68 () (_ @t36 @t67)) % 0.44/0.63 (define @t69 () (_ @t63 @t67)) % 0.44/0.63 (define @t70 () (lambda @t65 (forall (@list @t62 @t67) (=> @t69 (_ @t68 @t62))))) % 0.44/0.63 (define @t71 () (@list @t67)) % 0.44/0.63 (define @t72 () (lambda @t65 (forall @t64 (exists @t71 @t69)))) % 0.44/0.63 (define @t73 () (@var "U" $$unsorted)) % 0.44/0.63 (define @t74 () (_ @t63 @t73)) % 0.44/0.63 (define @t75 () (_ @t68 @t73)) % 0.44/0.63 (define @t76 () (@list @t62 @t67 @t73)) % 0.44/0.63 (define @t77 () (lambda @t65 (forall @t76 (=> (and @t69 @t75) @t74)))) % 0.44/0.63 (define @t78 () (and @t69 @t74)) % 0.44/0.63 (define @t79 () (lambda @t65 (forall @t76 (=> @t78 @t75)))) % 0.44/0.63 (define @t80 () (= @t67 @t73)) % 0.44/0.63 (define @t81 () (lambda @t65 (forall @t76 (=> @t78 @t80)))) % 0.44/0.63 (define @t82 () (@list @t73)) % 0.44/0.63 (define @t83 () (lambda @t65 (forall @t64 (exists @t71 (and @t69 (forall @t82 (=> @t74 @t80))))))) % 0.44/0.63 (define @t84 () (_ @t36 @t73)) % 0.44/0.63 (define @t85 () (_ @t84 @t67)) % 0.44/0.63 (define @t86 () (lambda @t65 (forall @t76 (=> @t69 (exists @t82 (and @t74 @t85)))))) % 0.44/0.63 (define @t87 () (lambda @t65 (forall @t76 (=> @t78 (or @t75 @t80 @t85))))) % 0.44/0.63 (define @t88 () (lambda @t65 (forall @t76 (=> @t78 (exists @t6 (and (_ @t68 @t1) (_ @t84 @t1))))))) % 0.44/0.63 (define @t89 () (forall @t42 @t28)) % 0.44/0.63 (define @t90 () (@list @t27)) % 0.44/0.63 (define @t91 () (lambda @t90 @t89)) % 0.44/0.63 (define @t92 () (lambda @t90 (exists @t42 @t28))) % 0.44/0.63 (define @t93 () (lambda @t90 (exists @t42 @t29))) % 0.44/0.63 (define @t94 () (lambda @t90 (forall @t42 @t29))) % 0.44/0.63 (define @t95 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.44/0.63 (define @t96 () (not @t95)) % 0.44/0.63 (define @t97 () (or @t96 @t35)) % 0.44/0.63 (define @t98 () (forall @t6 @t97)) % 0.44/0.63 (define @t99 () (lambda @t30 @t98)) % 0.44/0.63 (define @t100 () (lambda (@list @t27 @t13) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t45)) @t13))) % 0.44/0.63 (define @t101 () (tptp.exists_in_world @t2 @t7)) % 0.44/0.63 (define @t102 () (tptp.rel_s4 @t1 @t7)) % 0.44/0.63 (define @t103 () (not @t9)) % 0.44/0.63 (define @t104 () (tptp.exists_in_world @t2 @t1)) % 0.44/0.63 (define @t105 () (not @t4)) % 0.44/0.63 (define @t106 () (or @t105 @t103 @t8)) % 0.44/0.63 (define @t107 () (@var "BOUND_VARIABLE_8664" $$unsorted)) % 0.44/0.63 (define @t108 () (@var "BOUND_VARIABLE_8662" tptp.mu)) % 0.44/0.63 (define @t109 () (@var "BOUND_VARIABLE_8660" tptp.mu)) % 0.44/0.63 (define @t110 () (tptp.r @t109 @t108 @t107)) % 0.44/0.63 (define @t111 () (not (tptp.rel_s4 @t7 @t107))) % 0.44/0.63 (define @t112 () (not (tptp.exists_in_world @t108 @t7))) % 0.44/0.63 (define @t113 () (not (tptp.exists_in_world @t109 @t7))) % 0.44/0.63 (define @t114 () (@var "BOUND_VARIABLE_8532" $$unsorted)) % 0.44/0.63 (define @t115 () (@var "BOUND_VARIABLE_8534" tptp.mu)) % 0.44/0.63 (define @t116 () (tptp.r @t2 @t115 @t114)) % 0.44/0.63 (define @t117 () (not (tptp.exists_in_world @t115 @t114))) % 0.44/0.63 (define @t118 () (not (tptp.rel_s4 @t7 @t114))) % 0.44/0.63 (define @t119 () (not @t101)) % 0.44/0.63 (define @t120 () (or @t119 @t118 @t117 @t116)) % 0.44/0.63 (define @t121 () (@list @t2 @t114 @t115)) % 0.44/0.63 (define @t122 () (forall @t121 @t120)) % 0.44/0.63 (define @t123 () (not @t122)) % 0.44/0.63 (define @t124 () (or @t123 @t113 @t112 @t111 @t110)) % 0.44/0.63 (define @t125 () (or @t113 @t112 @t111 @t110)) % 0.44/0.63 (define @t126 () (or @t123 @t125)) % 0.44/0.63 (define @t127 () (@list @t7 @t109 @t108 @t107)) % 0.44/0.63 (define @t128 () (forall @t127 @t126)) % 0.44/0.63 (define @t129 () (@list @t109 @t108 @t107)) % 0.44/0.63 (define @t130 () (forall @t129 @t126)) % 0.44/0.63 (define @t131 () (forall @t129 @t125)) % 0.44/0.63 (define @t132 () (@var "BOUND_VARIABLE_8627" $$unsorted)) % 0.44/0.63 (define @t133 () (@var "BOUND_VARIABLE_8625" tptp.mu)) % 0.44/0.63 (define @t134 () (or @t123 @t131)) % 0.44/0.63 (define @t135 () (tptp.r @t2 @t133 @t132)) % 0.44/0.63 (define @t136 () (not (tptp.rel_s4 @t7 @t132))) % 0.44/0.63 (define @t137 () (not (tptp.exists_in_world @t133 @t7))) % 0.44/0.63 (define @t138 () (or @t119 @t137 @t136 @t135)) % 0.44/0.63 (define @t139 () (@list @t2 @t133 @t132)) % 0.44/0.63 (define @t140 () (forall @t139 @t138)) % 0.44/0.63 (define @t141 () (or @t123 @t140)) % 0.44/0.63 (define @t142 () (not (tptp.exists_in_world @t2 @t13))) % 0.44/0.63 (define @t143 () (forall @t139 (or @t142 (not (tptp.exists_in_world @t133 @t13)) (not (tptp.rel_s4 @t13 @t132)) @t135))) % 0.44/0.63 (define @t144 () (forall @t121 (or @t142 (not (tptp.rel_s4 @t13 @t114)) @t117 @t116))) % 0.44/0.63 (define @t145 () (not @t144)) % 0.44/0.63 (define @t146 () (@list @t13)) % 0.44/0.63 (define @t147 () (lambda @t146 (or @t145 @t143))) % 0.44/0.63 (define @t148 () (_ @t147 @t7)) % 0.44/0.63 (define @t149 () (forall @t42 @t148)) % 0.44/0.63 (define @t150 () (_ @t27 @t7)) % 0.44/0.63 (define @t151 () (lambda @t90 (forall @t42 @t150))) % 0.44/0.63 (define @t152 () (lambda @t42 @t140)) % 0.44/0.63 (define @t153 () (_ @t152 @t13)) % 0.44/0.63 (define @t154 () (or @t145 @t153)) % 0.44/0.63 (define @t155 () (lambda @t146 @t154)) % 0.44/0.63 (define @t156 () (_ @t32 @t13)) % 0.44/0.63 (define @t157 () (@list @t32 @t13)) % 0.44/0.63 (define @t158 () (or @t137 @t136 @t135)) % 0.44/0.63 (define @t159 () (or @t119 @t158)) % 0.44/0.63 (define @t160 () (forall @t139 @t159)) % 0.44/0.63 (define @t161 () (@list @t133 @t132)) % 0.44/0.63 (define @t162 () (forall @t161 @t159)) % 0.44/0.63 (define @t163 () (forall @t161 @t158)) % 0.44/0.63 (define @t164 () (@var "BOUND_VARIABLE_8597" $$unsorted)) % 0.44/0.63 (define @t165 () (@var "BOUND_VARIABLE_8577" tptp.mu)) % 0.44/0.63 (define @t166 () (or @t119 @t163)) % 0.44/0.63 (define @t167 () (tptp.r @t2 @t165 @t164)) % 0.44/0.63 (define @t168 () (not (tptp.rel_s4 @t7 @t164))) % 0.44/0.63 (define @t169 () (not (tptp.exists_in_world @t165 @t7))) % 0.44/0.63 (define @t170 () (or @t169 @t168 @t167)) % 0.44/0.63 (define @t171 () (@list @t165 @t164)) % 0.44/0.63 (define @t172 () (forall @t171 @t170)) % 0.44/0.63 (define @t173 () (forall @t171 (or (not (tptp.exists_in_world @t165 @t13)) (not (tptp.rel_s4 @t13 @t164)) @t167))) % 0.44/0.63 (define @t174 () (lambda @t19 @t173)) % 0.44/0.63 (define @t175 () (_ @t174 @t2 @t7)) % 0.44/0.63 (define @t176 () (or @t119 @t175)) % 0.44/0.63 (define @t177 () (forall @t5 @t176)) % 0.44/0.63 (define @t178 () (lambda @t42 @t177)) % 0.44/0.63 (define @t179 () (_ @t54 @t2 @t7)) % 0.44/0.63 (define @t180 () (forall @t5 (or @t119 @t179))) % 0.44/0.63 (define @t181 () (lambda @t58 @t180)) % 0.44/0.63 (define @t182 () (or @t168 @t167)) % 0.44/0.63 (define @t183 () (or @t169 @t182)) % 0.44/0.63 (define @t184 () (forall @t171 @t183)) % 0.44/0.63 (define @t185 () (@list @t164)) % 0.44/0.63 (define @t186 () (forall @t185 @t183)) % 0.44/0.63 (define @t187 () (@list @t165)) % 0.44/0.63 (define @t188 () (forall @t185 @t182)) % 0.44/0.63 (define @t189 () (or @t169 @t188)) % 0.44/0.63 (define @t190 () (tptp.rel_s4 @t7 @t1)) % 0.44/0.63 (define @t191 () (not @t190)) % 0.44/0.63 (define @t192 () (forall @t6 (or @t191 (tptp.r @t2 @t165 @t1)))) % 0.44/0.63 (define @t193 () (tptp.r @t2 @t14 @t1)) % 0.44/0.63 (define @t194 () (not (tptp.rel_s4 @t13 @t1))) % 0.44/0.63 (define @t195 () (forall @t6 (or @t194 @t193))) % 0.44/0.63 (define @t196 () (lambda @t17 @t195)) % 0.44/0.63 (define @t197 () (_ @t196 @t165 @t7)) % 0.44/0.63 (define @t198 () (or @t169 @t197)) % 0.44/0.63 (define @t199 () (forall @t187 @t198)) % 0.44/0.63 (define @t200 () (lambda @t42 @t199)) % 0.44/0.63 (define @t201 () (@list @t2)) % 0.44/0.63 (define @t202 () (_ @t16 @t1)) % 0.44/0.63 (define @t203 () (or @t191 @t202)) % 0.44/0.63 (define @t204 () (_ @t16 @t1)) % 0.44/0.63 (define @t205 () (or @t191 @t204)) % 0.44/0.63 (define @t206 () (forall @t6 @t205)) % 0.44/0.63 (define @t207 () (lambda @t42 @t206)) % 0.44/0.63 (define @t208 () (_ @t27 @t1)) % 0.44/0.63 (define @t209 () (lambda @t30 (forall @t6 (or @t191 @t208)))) % 0.44/0.63 (define @t210 () (_ @t209 @t16)) % 0.44/0.63 (define @t211 () (lambda @t17 (_ @t210 @t13))) % 0.44/0.63 (define @t212 () (lambda @t19 (_ (_ @t181 @t211) @t13))) % 0.44/0.63 (define @t213 () (lambda @t42 @t122)) % 0.44/0.63 (define @t214 () (_ @t213 @t13)) % 0.44/0.63 (define @t215 () (not @t214)) % 0.44/0.63 (define @t216 () (or @t215 @t156)) % 0.44/0.63 (define @t217 () (lambda @t157 @t216)) % 0.44/0.63 (define @t218 () (or (not (_ @t27 @t13)) @t156)) % 0.44/0.63 (define @t219 () (lambda @t47 @t218)) % 0.44/0.63 (define @t220 () (or @t118 @t117 @t116)) % 0.44/0.63 (define @t221 () (or @t119 @t220)) % 0.44/0.63 (define @t222 () (forall @t121 @t221)) % 0.44/0.63 (define @t223 () (@list @t114 @t115)) % 0.44/0.63 (define @t224 () (forall @t223 @t221)) % 0.44/0.63 (define @t225 () (forall @t223 @t220)) % 0.44/0.63 (define @t226 () (@var "BOUND_VARIABLE_8508" tptp.mu)) % 0.44/0.63 (define @t227 () (or @t119 @t225)) % 0.44/0.63 (define @t228 () (tptp.r @t2 @t226 @t1)) % 0.44/0.63 (define @t229 () (not (tptp.exists_in_world @t226 @t1))) % 0.44/0.63 (define @t230 () (or @t191 @t229 @t228)) % 0.44/0.63 (define @t231 () (@list @t1 @t226)) % 0.44/0.63 (define @t232 () (forall @t231 @t230)) % 0.44/0.63 (define @t233 () (forall @t231 (or @t194 @t229 @t228))) % 0.44/0.63 (define @t234 () (lambda @t19 @t233)) % 0.44/0.63 (define @t235 () (_ @t234 @t2 @t7)) % 0.44/0.63 (define @t236 () (or @t119 @t235)) % 0.44/0.63 (define @t237 () (forall @t5 @t236)) % 0.44/0.63 (define @t238 () (lambda @t42 @t237)) % 0.44/0.63 (define @t239 () (or @t229 @t228)) % 0.44/0.63 (define @t240 () (or @t191 @t239)) % 0.44/0.63 (define @t241 () (forall @t231 @t240)) % 0.44/0.63 (define @t242 () (@list @t226)) % 0.44/0.63 (define @t243 () (forall @t242 @t240)) % 0.44/0.63 (define @t244 () (forall @t242 @t239)) % 0.44/0.63 (define @t245 () (@var "BOUND_VARIABLE_8473" tptp.mu)) % 0.44/0.63 (define @t246 () (@list @t245)) % 0.44/0.63 (define @t247 () (or @t191 @t244)) % 0.44/0.63 (define @t248 () (@list @t245)) % 0.44/0.63 (define @t249 () (forall @t248 (or (not (tptp.exists_in_world @t245 @t1)) (tptp.r @t2 @t245 @t1)))) % 0.44/0.63 (define @t250 () (tptp.r @t2 @t245 @t7)) % 0.44/0.63 (define @t251 () (not (tptp.exists_in_world @t245 @t7))) % 0.44/0.63 (define @t252 () (lambda @t42 (forall @t248 (or @t251 @t250)))) % 0.44/0.63 (define @t253 () (_ @t252 @t1)) % 0.44/0.63 (define @t254 () (or @t191 @t253)) % 0.44/0.63 (define @t255 () (forall @t6 @t254)) % 0.44/0.63 (define @t256 () (lambda @t42 @t255)) % 0.44/0.63 (define @t257 () (_ (_ @t15 @t245) @t7)) % 0.44/0.63 (define @t258 () (or @t251 @t257)) % 0.44/0.63 (define @t259 () (_ @t21 @t245 @t7)) % 0.44/0.63 (define @t260 () (or @t251 @t259)) % 0.44/0.63 (define @t261 () (forall @t248 @t260)) % 0.44/0.63 (define @t262 () (lambda @t42 @t261)) % 0.44/0.63 (define @t263 () (lambda @t19 (_ (_ @t209 (_ @t181 @t21)) @t13))) % 0.44/0.63 (define @t264 () (not @t8)) % 0.44/0.63 (define @t265 () (or @t264 @t56)) % 0.44/0.63 (define @t266 () (or @t29 @t33)) % 0.44/0.63 (define @t267 () (lambda @t42 @t266)) % 0.44/0.63 (define @t268 () (@list @t32 @t7)) % 0.44/0.63 (define @t269 () (lambda @t42 @t29)) % 0.44/0.63 (define @t270 () (_ @t269 @t7)) % 0.44/0.63 (define @t271 () (or @t270 @t33)) % 0.44/0.63 (define @t272 () (lambda @t268 @t271)) % 0.44/0.63 (define @t273 () (forall @t127 @t124)) % 0.44/0.63 (define @t274 () (@quantifiers_skolemize @t273 0)) % 0.44/0.63 (define @t275 () (forall @t121 (or (not (tptp.exists_in_world @t2 @t274)) (not (tptp.rel_s4 @t274 @t114)) @t117 @t116))) % 0.44/0.63 (define @t276 () (@quantifiers_skolemize @t273 3)) % 0.44/0.63 (define @t277 () (@quantifiers_skolemize @t273 2)) % 0.44/0.63 (define @t278 () (@quantifiers_skolemize @t273 1)) % 0.44/0.63 (define @t279 () (tptp.r @t278 @t277 @t276)) % 0.44/0.63 (define @t280 () (tptp.rel_s4 @t274 @t276)) % 0.44/0.63 (define @t281 () (not @t280)) % 0.44/0.63 (define @t282 () (tptp.exists_in_world @t277 @t274)) % 0.44/0.63 (define @t283 () (not @t282)) % 0.44/0.63 (define @t284 () (tptp.exists_in_world @t278 @t274)) % 0.44/0.63 (define @t285 () (not @t284)) % 0.44/0.63 (define @t286 () (not @t275)) % 0.44/0.63 (define @t287 () (or @t286 @t285 @t283 @t281 @t279)) % 0.44/0.63 (define @t288 () (@list true)) % 0.44/0.63 (define @t289 () (@list @t287)) % 0.44/0.63 (define @t290 () (tptp.exists_in_world @t277 @t276)) % 0.44/0.63 (define @t291 () (not @t290)) % 0.44/0.63 (define @t292 () (or @t285 @t281 @t291 @t279)) % 0.44/0.63 (define @t293 () (or @t283 @t281 @t290)) % 0.44/0.63 (define @t294 () (not @t293)) % 0.44/0.63 (define @t295 () (forall @t11 (or (not @t104) (not @t102) @t101))) % 0.44/0.63 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.63 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.44/0.63 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.44/0.63 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.44/0.63 (assume @p5 @t12) % 0.44/0.63 (assume @p6 @t23) % 0.44/0.63 (assume @p7 true) % 0.44/0.63 (step @p8 (= tptp.meq_prop @t26) :rule refl :args (@t26)) % 0.44/0.63 (step @p9 (= tptp.mnot @t31) :rule refl :args (@t31)) % 0.44/0.63 (step @p10 (= tptp.mor @t34) :rule refl :args (@t34)) % 0.44/0.63 (step @p11 (= tptp.mbox @t37) :rule refl :args (@t37)) % 0.44/0.63 (step @p12 (= tptp.mforall_prop @t41) :rule refl :args (@t41)) % 0.44/0.63 (step @p13 (= tptp.mtrue @t43) :rule refl :args (@t43)) % 0.44/0.63 (step @p14 (= tptp.mand @t48) :rule refl :args (@t48)) % 0.44/0.63 (step @p15 (= tptp.mimplies @t49) :rule refl :args (@t49)) % 0.44/0.63 (step @p16 (= tptp.mimplied @t50) :rule refl :args (@t50)) % 0.44/0.63 (step @p17 (= tptp.mequiv @t51) :rule refl :args (@t51)) % 0.44/0.63 (step @p18 (= tptp.mxor @t52) :rule refl :args (@t52)) % 0.44/0.63 (step @p19 (= tptp.mdia @t53) :rule refl :args (@t53)) % 0.44/0.63 (step @p20 (= tptp.mforall_ind @t59) :rule refl :args (@t59)) % 0.44/0.63 (step @p21 (= tptp.mexists_ind @t60) :rule refl :args (@t60)) % 0.44/0.63 (step @p22 (= tptp.mexists_prop @t61) :rule refl :args (@t61)) % 0.44/0.63 (step @p23 (= tptp.mreflexive @t66) :rule refl :args (@t66)) % 0.44/0.63 (step @p24 (= tptp.msymmetric @t70) :rule refl :args (@t70)) % 0.44/0.63 (step @p25 (= tptp.mserial @t72) :rule refl :args (@t72)) % 0.44/0.63 (step @p26 (= tptp.mtransitive @t77) :rule refl :args (@t77)) % 0.44/0.63 (step @p27 (= tptp.meuclidean @t79) :rule refl :args (@t79)) % 0.44/0.63 (step @p28 (= tptp.mpartially_functional @t81) :rule refl :args (@t81)) % 0.44/0.63 (step @p29 (= tptp.mfunctional @t83) :rule refl :args (@t83)) % 0.44/0.63 (step @p30 (= tptp.mweakly_dense @t86) :rule refl :args (@t86)) % 0.44/0.63 (step @p31 (= tptp.mweakly_connected @t87) :rule refl :args (@t87)) % 0.44/0.63 (step @p32 (= tptp.mweakly_directed @t88) :rule refl :args (@t88)) % 0.44/0.63 (step @p33 (= tptp.mvalid @t91) :rule refl :args (@t91)) % 0.44/0.63 (step @p34 (= tptp.msatisfiable @t92) :rule refl :args (@t92)) % 0.44/0.63 (step @p35 (= tptp.mcountersatisfiable @t93) :rule refl :args (@t93)) % 0.44/0.63 (step @p36 (= tptp.minvalid @t94) :rule refl :args (@t94)) % 0.44/0.63 (step @p37 (= tptp.mbox_s4 @t99) :rule refl :args (@t99)) % 0.44/0.63 (step @p38 (= tptp.mdia_s4 @t100) :rule refl :args (@t100)) % 0.44/0.63 (step @p39 :rule refl :args (@t101)) % 0.44/0.63 (step @p40 :rule 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0.44/0.63 (step @p311 :rule trans :premises (@p310 @p305)) % 0.44/0.63 (step @p312 :rule cong :premises (@p311) :args (@t49)) % 0.44/0.63 (step @p313 :rule trans :premises (@p15 @p312)) % 0.44/0.63 (step @p314 :rule ho_cong :premises (@p313 @p288)) % 0.44/0.63 (step @p315 :rule ho_cong :premises (@p314 @p282)) % 0.44/0.63 (step @p316 :rule refl :args (@t150)) % 0.44/0.63 (step @p317 :rule refl :args (@t28)) % 0.44/0.63 (step @p318 :rule cong :premises (@p317 @p316) :args ((= @t28 @t150))) % 0.44/0.63 (step @p319 :rule symm :premises (@p318)) % 0.44/0.63 (step @p320 :rule eq_resolve :premises (@p317 @p319)) % 0.44/0.63 (step @p321 :rule cong :premises (@p320) :args (@t89)) % 0.44/0.63 (step @p322 :rule cong :premises (@p321) :args (@t91)) % 0.44/0.63 (step @p323 :rule trans :premises (@p33 @p322)) % 0.44/0.63 (step @p324 :rule ho_cong :premises (@p323 @p315)) % 0.44/0.63 (step @p325 :rule cong :premises (@p324) :args (@t23)) % 0.44/0.63 (step @p326 :rule trans :premises (@p325 @p246)) % 0.44/0.63 (step @p327 :rule eq_resolve :premises (@p6 @p326)) % 0.44/0.63 (step @p328 :rule skolemize :premises (@p327)) % 0.44/0.63 (step @p329 :rule bool-double-not-elim :args (@t275)) % 0.44/0.63 (step @p330 :rule refl :args (@t287)) % 0.44/0.63 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or @t287 (not @t286)))) % 0.44/0.63 (step @p332 :rule cnf_or_neg :args (@t287 0)) % 0.44/0.63 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.44/0.63 (step @p334 :rule reordering :premises (@p333) :args ((or @t275 @t287))) % 0.44/0.63 (step @p335 :rule chain_m_resolution :premises (@p334 @p328) :args (@t275 @t288 @t289)) % 0.44/0.63 (step @p336 :rule instantiate :premises (@p335) :args ((@list @t278 @t276 @t277))) % 0.44/0.63 (step @p337 :rule cnf_or_neg :args (@t287 4)) % 0.44/0.63 (step @p338 :rule chain_m_resolution :premises (@p337 @p328) :args ((not @t279) @t288 @t289)) % 0.44/0.63 (step @p339 :rule bool-double-not-elim :args (@t280)) % 0.44/0.63 (step @p340 :rule nary_cong :premises (@p330 @p339) :args ((or @t287 (not @t281)))) % 0.44/0.63 (step @p341 :rule cnf_or_neg :args (@t287 3)) % 0.44/0.63 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.44/0.63 (step @p343 :rule reordering :premises (@p342) :args ((or @t280 @t287))) % 0.44/0.63 (step @p344 :rule chain_m_resolution :premises (@p343 @p328) :args (@t280 @t288 @t289)) % 0.44/0.63 (step @p345 :rule bool-double-not-elim :args (@t284)) % 0.44/0.63 (step @p346 :rule nary_cong :premises (@p330 @p345) :args ((or @t287 (not @t285)))) % 0.44/0.63 (step @p347 :rule cnf_or_neg :args (@t287 1)) % 0.44/0.63 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 0.44/0.63 (step @p349 :rule reordering :premises (@p348) :args ((or @t284 @t287))) % 0.44/0.63 (step @p350 :rule chain_m_resolution :premises (@p349 @p328) :args (@t284 @t288 @t289)) % 0.44/0.63 (step @p351 :rule cnf_or_pos :args (@t292)) % 0.44/0.63 (step @p352 :rule reordering :premises (@p351) :args ((or @t285 @t281 @t279 @t291 (not @t292)))) % 0.44/0.63 (step @p353 :rule chain_m_resolution :premises (@p352 @p350 @p344 @p338 @p336) :args (@t291 (@list false false true false) (@list @t284 @t280 @t279 @t292))) % 0.44/0.63 (step @p354 :rule bool-double-not-elim :args (@t282)) % 0.44/0.63 (step @p355 :rule nary_cong :premises (@p330 @p354) :args ((or @t287 (not @t283)))) % 0.44/0.63 (step @p356 :rule cnf_or_neg :args (@t287 2)) % 0.44/0.63 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.44/0.63 (step @p358 :rule reordering :premises (@p357) :args ((or @t282 @t287))) % 0.44/0.63 (step @p359 :rule chain_m_resolution :premises (@p358 @p328) :args (@t282 @t288 @t289)) % 0.44/0.63 (step @p360 :rule cnf_or_pos :args (@t293)) % 0.44/0.63 (step @p361 :rule reordering :premises (@p360) :args ((or @t283 @t281 @t290 @t294))) % 0.44/0.63 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p344 @p353) :args (@t294 (@list false false true) (@list @t282 @t280 @t290))) % 0.44/0.63 (assume-push @p369 @t295) % 0.44/0.63 (step @p364 :rule instantiate :premises (@p66) :args ((@list @t277 @t274 @t276))) % 0.44/0.63 (step-pop @p370 :rule scope :premises (@p364)) % 0.44/0.63 (step @p365 :rule process_scope :premises (@p370) :args (@t293)) % 0.44/0.63 (step @p367 :rule implies_elim :premises (@p365)) % 0.44/0.63 (step @p368 false :rule chain_m_resolution :premises (@p367 @p362 @p66) :args (false (@list true false) (@list @t293 @t295))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------