%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL725^1 : TPTP v9.3.1. Bugfixed v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:42 AM UTC 2026 % Result : Theorem 0.28s 0.58s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL725^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n029.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 14:59:40 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.44 %----Proving TH0 % 0.28/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.58 % SZS status Theorem % 0.28/0.58 % SZS output start Proof % 0.28/0.58 ( % 0.28/0.58 (declare-sort $$unsorted 0) % 0.28/0.58 (declare-sort tptp.mu 0) % 0.28/0.58 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.28/0.58 (declare-const tptp.phi (-> $$unsorted Bool)) % 0.28/0.58 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.28/0.58 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.28/0.58 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.28/0.58 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.28/0.58 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.28/0.58 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.28/0.58 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.28/0.58 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.28/0.58 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.28/0.58 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.28/0.58 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.28/0.58 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.28/0.58 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.28/0.58 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.28/0.58 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.28/0.58 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.28/0.58 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.28/0.58 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.28/0.58 (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)))))))) % 0.28/0.58 (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)))))))) % 0.28/0.58 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.28/0.58 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.28/0.58 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.28/0.58 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.28/0.58 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.28/0.58 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.28/0.58 (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))))))))))))) % 0.28/0.58 (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)))))) % 0.28/0.58 (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))))))) % 0.28/0.58 (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)))))) % 0.28/0.58 (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))))))) % 0.28/0.58 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.28/0.58 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.28/0.58 (define @t1 () (_ tptp.mbox_s5 tptp.phi)) % 0.28/0.58 (define @t2 () (_ tptp.mimplies @t1)) % 0.28/0.58 (define @t3 () (and (_ tptp.mvalid (_ @t2 tptp.phi)) (_ tptp.mvalid (_ @t2 (_ tptp.mbox_s5 @t1))) (_ tptp.mvalid (_ (_ tptp.mimplies tptp.phi) (_ tptp.mbox_s5 (_ tptp.mdia_s5 tptp.phi)))))) % 0.28/0.58 (define @t4 () (not @t3)) % 0.28/0.58 (define @t5 () (@var "Y" tptp.mu)) % 0.28/0.58 (define @t6 () (@var "X" tptp.mu)) % 0.28/0.58 (define @t7 () (@var "W" $$unsorted)) % 0.28/0.58 (define @t8 () (lambda (@list @t6 @t5 @t7) (= @t6 @t5))) % 0.28/0.58 (define @t9 () (@var "Y" (-> $$unsorted Bool))) % 0.28/0.58 (define @t10 () (@var "X" (-> $$unsorted Bool))) % 0.28/0.58 (define @t11 () (lambda (@list @t10 @t9 @t7) (= (_ @t10 @t7) (_ @t9 @t7)))) % 0.28/0.58 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 0.28/0.58 (define @t13 () (_ @t12 @t7)) % 0.28/0.58 (define @t14 () (not @t13)) % 0.28/0.58 (define @t15 () (@list @t12 @t7)) % 0.28/0.58 (define @t16 () (lambda @t15 @t14)) % 0.28/0.58 (define @t17 () (@var "Psi" (-> $$unsorted Bool))) % 0.28/0.58 (define @t18 () (_ @t17 @t7)) % 0.28/0.58 (define @t19 () (lambda (@list @t12 @t17 @t7) (or @t13 @t18))) % 0.28/0.58 (define @t20 () (@var "__flatten_var_0" $$unsorted)) % 0.28/0.58 (define @t21 () (_ tptp.mnot @t17)) % 0.28/0.58 (define @t22 () (_ tptp.mnot @t12)) % 0.28/0.58 (define @t23 () (_ tptp.mor @t22)) % 0.28/0.58 (define @t24 () (@list @t12 @t17 @t20)) % 0.28/0.58 (define @t25 () (lambda @t24 (_ (_ tptp.mnot (_ @t23 @t21)) @t20))) % 0.28/0.58 (define @t26 () (lambda @t24 (_ (_ @t23 @t17) @t20))) % 0.28/0.58 (define @t27 () (lambda @t24 (_ (_ (_ tptp.mor @t21) @t12) @t20))) % 0.28/0.58 (define @t28 () (lambda @t24 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t17)) (_ (_ tptp.mimplies @t17) @t12)) @t20))) % 0.28/0.58 (define @t29 () (lambda @t24 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t17)) @t20))) % 0.28/0.58 (define @t30 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.28/0.58 (define @t31 () (_ @t30 @t6)) % 0.28/0.58 (define @t32 () (lambda (@list @t30 @t7) (forall (@list @t6) (_ @t31 @t7)))) % 0.28/0.58 (define @t33 () (@var "P" (-> $$unsorted Bool))) % 0.28/0.58 (define @t34 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.28/0.58 (define @t35 () (_ @t34 @t33)) % 0.28/0.58 (define @t36 () (lambda (@list @t34 @t7) (forall (@list @t33) (_ @t35 @t7)))) % 0.28/0.58 (define @t37 () (lambda (@list @t30 @t20) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t6 @t20) (_ (_ tptp.mnot @t31) @t20)))) @t20))) % 0.28/0.58 (define @t38 () (lambda (@list @t34 @t20) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t33 @t20) (_ (_ tptp.mnot @t35) @t20)))) @t20))) % 0.28/0.58 (define @t39 () (@list @t7)) % 0.28/0.58 (define @t40 () (lambda @t39 true)) % 0.28/0.58 (define @t41 () (@var "V" $$unsorted)) % 0.28/0.58 (define @t42 () (_ @t12 @t41)) % 0.28/0.58 (define @t43 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.28/0.58 (define @t44 () (@list @t41)) % 0.28/0.58 (define @t45 () (lambda (@list @t43 @t12 @t7) (forall @t44 (or (not (_ (_ @t43 @t7) @t41)) @t42)))) % 0.28/0.58 (define @t46 () (lambda (@list @t43 @t12 @t20) (_ (_ tptp.mnot (_ (_ tptp.mbox @t43) @t22)) @t20))) % 0.28/0.58 (define @t47 () (@var "S" $$unsorted)) % 0.28/0.58 (define @t48 () (_ @t43 @t47)) % 0.28/0.58 (define @t49 () (_ @t48 @t47)) % 0.28/0.58 (define @t50 () (@list @t47)) % 0.28/0.58 (define @t51 () (forall @t50 @t49)) % 0.28/0.58 (define @t52 () (@list @t43)) % 0.28/0.58 (define @t53 () (lambda @t52 @t51)) % 0.28/0.58 (define @t54 () (@var "T" $$unsorted)) % 0.28/0.58 (define @t55 () (_ @t43 @t54)) % 0.28/0.58 (define @t56 () (_ @t55 @t47)) % 0.28/0.58 (define @t57 () (_ @t48 @t54)) % 0.28/0.58 (define @t58 () (@list @t47 @t54)) % 0.28/0.58 (define @t59 () (forall @t58 (=> @t57 @t56))) % 0.28/0.58 (define @t60 () (lambda @t52 @t59)) % 0.28/0.58 (define @t61 () (@list @t54)) % 0.28/0.58 (define @t62 () (lambda @t52 (forall @t50 (exists @t61 @t57)))) % 0.28/0.58 (define @t63 () (@var "U" $$unsorted)) % 0.28/0.58 (define @t64 () (_ @t48 @t63)) % 0.28/0.58 (define @t65 () (_ @t55 @t63)) % 0.28/0.58 (define @t66 () (and @t57 @t65)) % 0.28/0.58 (define @t67 () (@list @t47 @t54 @t63)) % 0.28/0.58 (define @t68 () (forall @t67 (=> @t66 @t64))) % 0.28/0.58 (define @t69 () (lambda @t52 @t68)) % 0.28/0.58 (define @t70 () (and @t57 @t64)) % 0.28/0.58 (define @t71 () (lambda @t52 (forall @t67 (=> @t70 @t65)))) % 0.28/0.58 (define @t72 () (= @t54 @t63)) % 0.28/0.58 (define @t73 () (lambda @t52 (forall @t67 (=> @t70 @t72)))) % 0.28/0.58 (define @t74 () (@list @t63)) % 0.28/0.58 (define @t75 () (lambda @t52 (forall @t50 (exists @t61 (and @t57 (forall @t74 (=> @t64 @t72))))))) % 0.28/0.58 (define @t76 () (_ @t43 @t63)) % 0.28/0.58 (define @t77 () (_ @t76 @t54)) % 0.28/0.58 (define @t78 () (lambda @t52 (forall @t67 (=> @t57 (exists @t74 (and @t64 @t77)))))) % 0.28/0.58 (define @t79 () (lambda @t52 (forall @t67 (=> @t70 (or @t65 @t72 @t77))))) % 0.28/0.58 (define @t80 () (lambda @t52 (forall @t67 (=> @t70 (exists @t44 (and (_ @t55 @t41) (_ @t76 @t41))))))) % 0.28/0.58 (define @t81 () (forall @t39 @t13)) % 0.28/0.58 (define @t82 () (@list @t12)) % 0.28/0.58 (define @t83 () (lambda @t82 @t81)) % 0.28/0.58 (define @t84 () (lambda @t82 (forall @t39 @t14))) % 0.28/0.58 (define @t85 () (lambda @t82 (exists @t39 @t13))) % 0.28/0.58 (define @t86 () (lambda @t82 (exists @t39 @t14))) % 0.28/0.58 (define @t87 () (_ (_ tptp.rel_s5 @t7) @t41)) % 0.28/0.58 (define @t88 () (not @t87)) % 0.28/0.58 (define @t89 () (or @t88 @t42)) % 0.28/0.58 (define @t90 () (forall @t44 @t89)) % 0.28/0.58 (define @t91 () (lambda @t15 @t90)) % 0.28/0.58 (define @t92 () (@list @t12 @t20)) % 0.28/0.58 (define @t93 () (lambda @t92 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t22)) @t20))) % 0.28/0.58 (define @t94 () (tptp.phi @t41)) % 0.28/0.58 (define @t95 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 0.28/0.58 (define @t96 () (tptp.phi @t95)) % 0.28/0.58 (define @t97 () (@var "BOUND_VARIABLE_8507" $$unsorted)) % 0.28/0.58 (define @t98 () (not (tptp.rel_s5 @t97 @t95))) % 0.28/0.58 (define @t99 () (not (tptp.rel_s5 @t7 @t97))) % 0.28/0.58 (define @t100 () (tptp.rel_s5 @t7 @t41)) % 0.28/0.58 (define @t101 () (not @t100)) % 0.28/0.58 (define @t102 () (forall @t44 (or @t101 @t94))) % 0.28/0.58 (define @t103 () (not @t102)) % 0.28/0.58 (define @t104 () (or @t103 @t99 @t98 @t96)) % 0.28/0.58 (define @t105 () (@list @t7 @t97 @t95)) % 0.28/0.58 (define @t106 () (forall @t105 @t104)) % 0.28/0.58 (define @t107 () (@quantifiers_skolemize @t106 0)) % 0.28/0.58 (define @t108 () (forall @t44 (or (not (tptp.rel_s5 @t107 @t41)) @t94))) % 0.28/0.58 (define @t109 () (@quantifiers_skolemize @t106 2)) % 0.28/0.58 (define @t110 () (tptp.phi @t109)) % 0.28/0.58 (define @t111 () (@quantifiers_skolemize @t106 1)) % 0.28/0.58 (define @t112 () (tptp.rel_s5 @t111 @t109)) % 0.28/0.58 (define @t113 () (not @t112)) % 0.28/0.58 (define @t114 () (tptp.rel_s5 @t107 @t111)) % 0.28/0.58 (define @t115 () (not @t114)) % 0.28/0.58 (define @t116 () (not @t108)) % 0.28/0.58 (define @t117 () (or @t116 @t115 @t113 @t110)) % 0.28/0.58 (define @t118 () (tptp.rel_s5 @t107 @t109)) % 0.28/0.58 (define @t119 () (not @t118)) % 0.28/0.58 (define @t120 () (or @t119 @t110)) % 0.28/0.58 (define @t121 () (not (tptp.rel_s5 @t47 @t54))) % 0.28/0.58 (define @t122 () (_ @t43 @t47 @t63)) % 0.28/0.58 (define @t123 () (_ @t43 @t54 @t63)) % 0.28/0.58 (define @t124 () (_ @t43 @t47 @t54)) % 0.28/0.58 (define @t125 () (not @t124)) % 0.28/0.58 (define @t126 () (not @t65)) % 0.28/0.58 (define @t127 () (not @t57)) % 0.28/0.58 (define @t128 () (or @t127 @t126 @t64)) % 0.28/0.58 (define @t129 () (or @t115 @t113 @t118)) % 0.28/0.58 (define @t130 () (not @t117)) % 0.28/0.58 (define @t131 () (not @t106)) % 0.28/0.58 (define @t132 () (@list false)) % 0.28/0.58 (define @t133 () (tptp.phi @t7)) % 0.28/0.58 (define @t134 () (forall @t39 (or @t103 @t133))) % 0.28/0.58 (define @t135 () (@quantifiers_skolemize @t134 0)) % 0.28/0.58 (define @t136 () (forall @t44 (or (not (tptp.rel_s5 @t135 @t41)) @t94))) % 0.28/0.58 (define @t137 () (tptp.phi @t135)) % 0.28/0.58 (define @t138 () (not @t136)) % 0.28/0.58 (define @t139 () (or @t138 @t137)) % 0.28/0.58 (define @t140 () (@list @t135)) % 0.28/0.58 (define @t141 () (tptp.rel_s5 @t135 @t135)) % 0.28/0.58 (define @t142 () (not @t141)) % 0.28/0.58 (define @t143 () (or @t142 @t137)) % 0.28/0.58 (define @t144 () (_ @t43 @t47 @t47)) % 0.28/0.58 (define @t145 () (not @t139)) % 0.28/0.58 (define @t146 () (not @t134)) % 0.28/0.58 (define @t147 () (@var "BOUND_VARIABLE_8536" $$unsorted)) % 0.28/0.58 (define @t148 () (not (tptp.phi @t147))) % 0.28/0.58 (define @t149 () (@var "BOUND_VARIABLE_8574" $$unsorted)) % 0.28/0.58 (define @t150 () (@list @t147)) % 0.28/0.58 (define @t151 () (not (forall @t150 (or (not (tptp.rel_s5 @t149 @t147)) @t148)))) % 0.28/0.58 (define @t152 () (not (tptp.rel_s5 @t7 @t149))) % 0.28/0.58 (define @t153 () (not @t133)) % 0.28/0.58 (define @t154 () (or @t153 @t152 @t151)) % 0.28/0.58 (define @t155 () (or @t152 @t151)) % 0.28/0.58 (define @t156 () (or @t153 @t155)) % 0.28/0.58 (define @t157 () (@list @t7 @t149)) % 0.28/0.58 (define @t158 () (forall @t157 @t156)) % 0.28/0.58 (define @t159 () (@list @t149)) % 0.28/0.58 (define @t160 () (forall @t159 @t156)) % 0.28/0.58 (define @t161 () (forall @t159 @t155)) % 0.28/0.58 (define @t162 () (@list @t41)) % 0.28/0.58 (define @t163 () (or @t153 @t161)) % 0.28/0.58 (define @t164 () (not (forall @t150 (or (not (tptp.rel_s5 @t41 @t147)) @t148)))) % 0.28/0.58 (define @t165 () (forall @t44 (or @t101 @t164))) % 0.28/0.58 (define @t166 () (_ tptp.phi @t7)) % 0.28/0.58 (define @t167 () (not @t166)) % 0.28/0.58 (define @t168 () (or @t167 @t165)) % 0.28/0.58 (define @t169 () (not (tptp.rel_s5 @t20 @t41))) % 0.28/0.58 (define @t170 () (forall @t44 (or @t169 @t164))) % 0.28/0.58 (define @t171 () (_ tptp.phi @t20)) % 0.28/0.58 (define @t172 () (not @t171)) % 0.28/0.58 (define @t173 () (@list @t20)) % 0.28/0.58 (define @t174 () (lambda @t173 (or @t172 @t170))) % 0.28/0.58 (define @t175 () (_ @t174 @t7)) % 0.28/0.58 (define @t176 () (forall @t39 @t175)) % 0.28/0.58 (define @t177 () (_ @t12 @t7)) % 0.28/0.58 (define @t178 () (lambda @t82 (forall @t39 @t177))) % 0.28/0.58 (define @t179 () (lambda @t39 @t165)) % 0.28/0.58 (define @t180 () (_ @t179 @t20)) % 0.28/0.58 (define @t181 () (or @t172 @t180)) % 0.28/0.58 (define @t182 () (lambda @t173 @t181)) % 0.28/0.58 (define @t183 () (_ @t17 @t20)) % 0.28/0.58 (define @t184 () (@list @t17 @t20)) % 0.28/0.58 (define @t185 () (lambda @t184 (or @t172 @t183))) % 0.28/0.58 (define @t186 () (forall @t44 (or @t169 (not @t94)))) % 0.28/0.58 (define @t187 () (not @t186)) % 0.28/0.58 (define @t188 () (lambda @t173 @t187)) % 0.28/0.58 (define @t189 () (or @t101 (_ @t188 @t41))) % 0.28/0.58 (define @t190 () (forall @t44 @t189)) % 0.28/0.58 (define @t191 () (lambda @t39 @t190)) % 0.28/0.58 (define @t192 () (_ @t12 @t41)) % 0.28/0.58 (define @t193 () (lambda @t15 (forall @t44 (or @t101 @t192)))) % 0.28/0.58 (define @t194 () (not @t192)) % 0.28/0.58 (define @t195 () (not (forall @t44 (or @t169 @t194)))) % 0.28/0.58 (define @t196 () (_ (lambda @t92 @t195) tptp.phi)) % 0.28/0.58 (define @t197 () (or (not (_ @t12 @t20)) @t183)) % 0.28/0.58 (define @t198 () (lambda @t24 @t197)) % 0.28/0.58 (define @t199 () (_ @t198 tptp.phi)) % 0.28/0.58 (define @t200 () (or @t99 @t98 @t96)) % 0.28/0.58 (define @t201 () (or @t103 @t200)) % 0.28/0.58 (define @t202 () (forall @t105 @t201)) % 0.28/0.58 (define @t203 () (@list @t97 @t95)) % 0.28/0.58 (define @t204 () (forall @t203 @t201)) % 0.28/0.58 (define @t205 () (forall @t203 @t200)) % 0.28/0.58 (define @t206 () (@var "BOUND_VARIABLE_8482" $$unsorted)) % 0.28/0.58 (define @t207 () (or @t103 @t205)) % 0.28/0.58 (define @t208 () (tptp.phi @t206)) % 0.28/0.58 (define @t209 () (not (tptp.rel_s5 @t41 @t206))) % 0.28/0.58 (define @t210 () (or @t101 @t209 @t208)) % 0.28/0.58 (define @t211 () (@list @t41 @t206)) % 0.28/0.58 (define @t212 () (forall @t211 @t210)) % 0.28/0.58 (define @t213 () (or @t103 @t212)) % 0.28/0.58 (define @t214 () (forall @t211 (or @t169 @t209 @t208))) % 0.28/0.58 (define @t215 () (forall @t44 (or @t169 @t94))) % 0.28/0.58 (define @t216 () (not @t215)) % 0.28/0.58 (define @t217 () (lambda @t173 (or @t216 @t214))) % 0.28/0.58 (define @t218 () (_ @t217 @t7)) % 0.28/0.58 (define @t219 () (forall @t39 @t218)) % 0.28/0.58 (define @t220 () (lambda @t39 @t212)) % 0.28/0.58 (define @t221 () (_ @t220 @t20)) % 0.28/0.58 (define @t222 () (or @t216 @t221)) % 0.28/0.58 (define @t223 () (lambda @t173 @t222)) % 0.28/0.58 (define @t224 () (lambda @t184 (or @t216 @t183))) % 0.28/0.58 (define @t225 () (or @t209 @t208)) % 0.28/0.58 (define @t226 () (or @t101 @t225)) % 0.28/0.58 (define @t227 () (forall @t211 @t226)) % 0.28/0.58 (define @t228 () (@list @t206)) % 0.28/0.58 (define @t229 () (forall @t228 @t226)) % 0.28/0.58 (define @t230 () (forall @t228 @t225)) % 0.28/0.58 (define @t231 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 0.28/0.58 (define @t232 () (@list @t231)) % 0.28/0.58 (define @t233 () (or @t101 @t230)) % 0.28/0.58 (define @t234 () (tptp.phi @t231)) % 0.28/0.58 (define @t235 () (@list @t231)) % 0.28/0.58 (define @t236 () (forall @t235 (or (not (tptp.rel_s5 @t41 @t231)) @t234))) % 0.28/0.58 (define @t237 () (lambda @t39 @t102)) % 0.28/0.58 (define @t238 () (or @t101 (_ @t237 @t41))) % 0.28/0.58 (define @t239 () (forall @t44 @t238)) % 0.28/0.58 (define @t240 () (lambda @t39 @t239)) % 0.28/0.58 (define @t241 () (_ @t193 tptp.phi)) % 0.28/0.58 (define @t242 () (_ @t237 @t20)) % 0.28/0.58 (define @t243 () (not @t242)) % 0.28/0.58 (define @t244 () (or @t243 @t183)) % 0.28/0.58 (define @t245 () (lambda @t184 @t244)) % 0.28/0.58 (define @t246 () (or @t103 @t166)) % 0.28/0.58 (define @t247 () (lambda @t173 (or @t216 @t171))) % 0.28/0.58 (define @t248 () (_ @t247 @t7)) % 0.28/0.58 (define @t249 () (forall @t39 @t248)) % 0.28/0.58 (define @t250 () (_ @t198 @t241)) % 0.28/0.58 (define @t251 () (and (_ @t178 (_ @t250 tptp.phi)) (_ @t178 (_ @t250 (_ @t193 @t241))) (_ @t178 (_ @t199 (_ @t193 @t196))))) % 0.28/0.58 (define @t252 () (forall @t44 (or @t101 @t194))) % 0.28/0.58 (define @t253 () (lambda @t39 @t252)) % 0.28/0.58 (define @t254 () (_ @t253 @t7)) % 0.28/0.58 (define @t255 () (not @t254)) % 0.28/0.58 (define @t256 () (lambda @t39 @t255)) % 0.28/0.58 (define @t257 () (not @t42)) % 0.28/0.58 (define @t258 () (or @t101 @t257)) % 0.28/0.58 (define @t259 () (lambda @t39 @t14)) % 0.28/0.58 (define @t260 () (_ @t259 @t41)) % 0.28/0.58 (define @t261 () (or @t101 @t260)) % 0.28/0.58 (define @t262 () (forall @t44 @t261)) % 0.28/0.58 (define @t263 () (lambda @t39 @t262)) % 0.28/0.58 (define @t264 () (or @t14 @t18)) % 0.28/0.58 (define @t265 () (lambda @t39 @t264)) % 0.28/0.58 (define @t266 () (@list @t17 @t7)) % 0.28/0.58 (define @t267 () (_ @t259 @t7)) % 0.28/0.58 (define @t268 () (or @t267 @t18)) % 0.28/0.58 (define @t269 () (lambda @t266 @t268)) % 0.28/0.58 (define @t270 () (forall @t157 @t154)) % 0.28/0.58 (define @t271 () (not @t270)) % 0.28/0.58 (define @t272 () (@list false false)) % 0.28/0.58 (define @t273 () (@quantifiers_skolemize @t270 1)) % 0.28/0.58 (define @t274 () (forall @t150 (or (not (tptp.rel_s5 @t273 @t147)) @t148))) % 0.28/0.58 (define @t275 () (not @t274)) % 0.28/0.58 (define @t276 () (@quantifiers_skolemize @t270 0)) % 0.28/0.58 (define @t277 () (tptp.rel_s5 @t276 @t273)) % 0.28/0.58 (define @t278 () (not @t277)) % 0.28/0.58 (define @t279 () (tptp.phi @t276)) % 0.28/0.58 (define @t280 () (not @t279)) % 0.28/0.58 (define @t281 () (or @t280 @t278 @t275)) % 0.28/0.58 (define @t282 () (not @t281)) % 0.28/0.58 (define @t283 () (@list true)) % 0.28/0.58 (define @t284 () (@list @t281)) % 0.28/0.58 (define @t285 () (tptp.rel_s5 @t273 @t276)) % 0.28/0.58 (define @t286 () (not @t285)) % 0.28/0.58 (define @t287 () (or @t286 @t280)) % 0.28/0.58 (define @t288 () (_ @t43 @t54 @t47)) % 0.28/0.58 (define @t289 () (or @t127 @t56)) % 0.28/0.58 (define @t290 () (or @t278 @t285)) % 0.28/0.58 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.28/0.58 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.28/0.58 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.28/0.58 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.28/0.58 (assume @p5 @t4) % 0.28/0.58 (assume @p6 true) % 0.28/0.58 (step @p7 (= tptp.meq_ind @t8) :rule refl :args (@t8)) % 0.28/0.58 (step @p8 (= tptp.meq_prop @t11) :rule refl :args (@t11)) % 0.28/0.58 (step @p9 (= tptp.mnot @t16) :rule refl :args (@t16)) % 0.28/0.58 (step @p10 (= tptp.mor @t19) :rule refl :args (@t19)) % 0.28/0.58 (step @p11 (= tptp.mand @t25) :rule refl :args (@t25)) % 0.28/0.58 (step @p12 (= tptp.mimplies @t26) :rule refl :args (@t26)) % 0.28/0.58 (step @p13 (= tptp.mimplied @t27) :rule refl :args (@t27)) % 0.28/0.58 (step @p14 (= tptp.mequiv @t28) :rule refl :args (@t28)) % 0.28/0.58 (step @p15 (= tptp.mxor @t29) :rule refl :args (@t29)) % 0.28/0.58 (step @p16 (= tptp.mforall_ind @t32) :rule refl :args (@t32)) % 0.28/0.58 (step @p17 (= tptp.mforall_prop @t36) :rule refl :args (@t36)) % 0.28/0.58 (step @p18 (= tptp.mexists_ind @t37) :rule refl :args (@t37)) % 0.28/0.58 (step @p19 (= tptp.mexists_prop @t38) :rule refl :args (@t38)) % 0.28/0.58 (step @p20 (= tptp.mtrue @t40) :rule refl :args (@t40)) % 0.28/0.58 (step @p21 (= tptp.mbox @t45) :rule refl :args (@t45)) % 0.28/0.58 (step @p22 (= tptp.mdia @t46) :rule refl :args (@t46)) % 0.28/0.58 (step @p23 (= tptp.mreflexive @t53) :rule refl :args (@t53)) % 0.28/0.58 (step @p24 (= tptp.msymmetric @t60) :rule refl :args (@t60)) % 0.28/0.58 (step @p25 (= tptp.mserial @t62) :rule refl :args (@t62)) % 0.28/0.58 (step @p26 (= tptp.mtransitive @t69) :rule refl :args (@t69)) % 0.28/0.58 (step @p27 (= tptp.meuclidean @t71) :rule refl :args (@t71)) % 0.28/0.58 (step @p28 (= tptp.mpartially_functional @t73) :rule refl :args (@t73)) % 0.28/0.58 (step @p29 (= tptp.mfunctional @t75) :rule refl :args (@t75)) % 0.28/0.58 (step @p30 (= tptp.mweakly_dense @t78) :rule refl :args (@t78)) % 0.28/0.58 (step @p31 (= tptp.mweakly_connected @t79) :rule refl :args (@t79)) % 0.28/0.58 (step @p32 (= tptp.mweakly_directed @t80) :rule refl :args (@t80)) % 0.28/0.58 (step @p33 (= tptp.mvalid @t83) :rule refl :args (@t83)) % 0.28/0.58 (step @p34 (= tptp.minvalid @t84) :rule refl :args (@t84)) % 0.28/0.58 (step @p35 (= tptp.msatisfiable @t85) :rule refl :args (@t85)) % 0.28/0.58 (step @p36 (= tptp.mcountersatisfiable @t86) :rule refl :args (@t86)) % 0.28/0.58 (step @p37 (= tptp.mbox_s5 @t91) :rule refl :args (@t91)) % 0.28/0.58 (step @p38 (= tptp.mdia_s5 @t93) :rule refl :args (@t93)) % 0.28/0.58 (step @p39 :rule bool-double-not-elim :args (@t108)) % 0.28/0.58 (step @p40 :rule refl :args (@t117)) % 0.28/0.58 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t117 (not @t116)))) % 0.28/0.58 (step @p42 :rule cnf_or_neg :args (@t117 0)) % 0.28/0.58 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.28/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t108 @t117))) % 0.28/0.58 (step @p45 :rule bool-double-not-elim :args (@t114)) % 0.28/0.58 (step @p46 :rule nary_cong :premises (@p40 @p45) :args ((or @t117 (not @t115)))) % 0.28/0.58 (step @p47 :rule cnf_or_neg :args (@t117 1)) % 0.28/0.58 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.28/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t114 @t117))) % 0.28/0.58 (step @p50 :rule bool-double-not-elim :args 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@p284)) % 0.28/0.58 (step @p312 :rule trans :premises (@p311 @p283)) % 0.28/0.58 (step @p313 :rule refl :args (@t12)) % 0.28/0.58 (step @p314 :rule ho_cong :premises (@p9 @p313)) % 0.28/0.58 (step @p315 :rule refl :args (@t100)) % 0.28/0.58 (step @p316 :rule refl :args (@t87)) % 0.28/0.58 (step @p317 :rule cong :premises (@p316 @p315) :args ((= @t87 @t100))) % 0.28/0.58 (step @p318 :rule symm :premises (@p317)) % 0.28/0.58 (step @p319 :rule eq_resolve :premises (@p316 @p318)) % 0.28/0.58 (step @p320 :rule cong :premises (@p319) :args (@t88)) % 0.28/0.58 (step @p321 :rule nary_cong :premises (@p320 @p294) :args (@t89)) % 0.28/0.58 (step @p322 :rule cong :premises (@p321) :args (@t90)) % 0.28/0.58 (step @p323 :rule cong :premises (@p322) :args (@t91)) % 0.28/0.58 (step @p324 :rule trans :premises (@p37 @p323)) % 0.28/0.58 (step @p325 :rule ho_cong :premises (@p324 @p314)) % 0.28/0.58 (step @p326 :rule ho_cong :premises (@p9 @p325)) % 0.28/0.58 (step @p327 :rule ho_cong :premises (@p326 @p284)) % 0.28/0.58 (step @p328 :rule trans :premises (@p327 @p312)) % 0.28/0.58 (step @p329 :rule cong :premises (@p328) :args (@t93)) % 0.28/0.58 (step @p330 :rule trans :premises (@p38 @p329)) % 0.28/0.58 (step @p331 :rule ho_cong :premises (@p330 @p276)) % 0.28/0.58 (step @p332 :rule ho_cong :premises (@p324 @p331)) % 0.28/0.58 (step @p333 :rule beta-reduce :args ((= (_ @t265 @t20) @t197))) % 0.28/0.58 (step @p334 :rule beta-reduce :args ((= (_ (lambda @t266 @t264) @t17) @t265))) % 0.28/0.58 (step @p335 :rule refl :args (@t17)) % 0.28/0.58 (step @p336 :rule refl :args (@t18)) % 0.28/0.58 (step @p337 :rule beta-reduce :args ((= @t267 @t14))) % 0.28/0.58 (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t268)) % 0.28/0.58 (step @p339 :rule cong :premises (@p338) :args (@t269)) % 0.28/0.58 (step @p340 :rule beta-reduce :args ((= (_ @t19 @t259) @t269))) % 0.28/0.58 (step @p341 :rule trans :premises (@p340 @p339)) % 0.28/0.58 (step @p342 :rule refl :args (@t19)) % 0.28/0.58 (step @p343 :rule ho_cong :premises (@p342 @p305)) % 0.28/0.58 (step @p344 :rule trans :premises (@p343 @p341)) % 0.28/0.58 (step @p345 :rule ho_cong :premises (@p344 @p335)) % 0.28/0.58 (step @p346 :rule trans :premises (@p345 @p334)) % 0.28/0.58 (step @p347 :rule ho_cong :premises (@p346 @p284)) % 0.28/0.58 (step @p348 :rule trans :premises (@p347 @p333)) % 0.28/0.58 (step @p349 :rule ho_cong :premises (@p10 @p314)) % 0.28/0.58 (step @p350 :rule ho_cong :premises (@p349 @p335)) % 0.28/0.58 (step @p351 :rule ho_cong :premises (@p350 @p284)) % 0.28/0.58 (step @p352 :rule trans :premises (@p351 @p348)) % 0.28/0.58 (step @p353 :rule cong :premises (@p352) :args (@t26)) % 0.28/0.58 (step @p354 :rule trans :premises (@p12 @p353)) % 0.28/0.58 (step @p355 :rule ho_cong :premises (@p354 @p276)) % 0.28/0.58 (step @p356 :rule ho_cong :premises (@p355 @p332)) % 0.28/0.58 (step @p357 :rule refl :args (@t177)) % 0.28/0.58 (step @p358 :rule refl :args (@t13)) % 0.28/0.58 (step @p359 :rule cong :premises (@p358 @p357) :args ((= @t13 @t177))) % 0.28/0.58 (step @p360 :rule symm :premises (@p359)) % 0.28/0.58 (step @p361 :rule eq_resolve :premises (@p358 @p360)) % 0.28/0.58 (step @p362 :rule cong :premises (@p361) :args (@t81)) % 0.28/0.58 (step @p363 :rule cong :premises (@p362) :args (@t83)) % 0.28/0.58 (step @p364 :rule trans :premises (@p33 @p363)) % 0.28/0.58 (step @p365 :rule ho_cong :premises (@p364 @p356)) % 0.28/0.58 (step @p366 :rule ho_cong :premises (@p324 @p276)) % 0.28/0.58 (step @p367 :rule ho_cong :premises (@p324 @p366)) % 0.28/0.58 (step @p368 :rule ho_cong :premises (@p354 @p366)) % 0.28/0.58 (step @p369 :rule ho_cong :premises (@p368 @p367)) % 0.28/0.58 (step @p370 :rule ho_cong :premises (@p364 @p369)) % 0.28/0.58 (step @p371 :rule ho_cong :premises (@p368 @p276)) % 0.28/0.58 (step @p372 :rule ho_cong :premises (@p364 @p371)) % 0.28/0.58 (step @p373 :rule nary_cong :premises (@p372 @p370 @p365) :args (@t3)) % 0.28/0.58 (step @p374 :rule cong :premises (@p373) :args (@t4)) % 0.28/0.58 (step @p375 :rule trans :premises (@p374 @p282)) % 0.28/0.58 (step @p376 :rule eq_resolve :premises (@p5 @p375)) % 0.28/0.58 (step @p377 :rule not_and :premises (@p376)) % 0.28/0.58 (step @p378 :rule chain_m_resolution :premises (@p377 @p148 @p110) :args (@t271 @t272 (@list @t134 @t106))) % 0.28/0.58 (step @p379 :rule refl :args (@t282)) % 0.28/0.58 (step @p380 :rule bool-double-not-elim :args (@t270)) % 0.28/0.58 (step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or (not @t271) @t282))) % 0.28/0.58 (assume-push @p445 @t271) % 0.28/0.58 (step @p383 :rule skolemize :premises (@p445)) % 0.28/0.58 (step-pop @p446 :rule scope :premises (@p383)) % 0.28/0.58 (step @p384 :rule process_scope :premises (@p446) :args (@t282)) % 0.28/0.58 (step @p386 :rule implies_elim :premises (@p384)) % 0.28/0.58 (step @p387 :rule eq_resolve :premises (@p386 @p381)) % 0.28/0.58 (step @p388 :rule chain_m_resolution :premises (@p387 @p378) :args (@t282 @t283 (@list @t270))) % 0.28/0.58 (step @p389 :rule bool-double-not-elim :args (@t279)) % 0.28/0.58 (step @p390 :rule refl :args (@t281)) % 0.28/0.58 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or @t281 (not @t280)))) % 0.28/0.58 (step @p392 :rule cnf_or_neg :args (@t281 0)) % 0.28/0.58 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 0.28/0.58 (step @p394 :rule reordering :premises (@p393) :args ((or @t279 @t281))) % 0.28/0.58 (step @p395 :rule chain_m_resolution :premises (@p394 @p388) :args (@t279 @t283 @t284)) % 0.28/0.58 (step @p396 :rule bool-double-not-elim :args (@t274)) % 0.28/0.58 (step @p397 :rule nary_cong :premises (@p390 @p396) :args ((or @t281 (not @t275)))) % 0.28/0.58 (step @p398 :rule cnf_or_neg :args (@t281 2)) % 0.28/0.58 (step @p399 :rule eq_resolve :premises (@p398 @p397)) % 0.28/0.58 (step @p400 :rule reordering :premises (@p399) :args ((or @t274 @t281))) % 0.28/0.58 (step @p401 :rule chain_m_resolution :premises (@p400 @p388) :args (@t274 @t283 @t284)) % 0.28/0.58 (assume-push @p447 @t274) % 0.28/0.58 (step @p403 :rule instantiate :premises (@p447) :args ((@list @t276))) % 0.28/0.58 (step-pop @p448 :rule scope :premises (@p403)) % 0.28/0.58 (step @p404 :rule process_scope :premises (@p448) :args (@t287)) % 0.28/0.58 (step @p406 :rule implies_elim :premises (@p404)) % 0.28/0.58 (step @p407 :rule chain_m_resolution :premises (@p406 @p401) :args (@t287 @t132 (@list @t274))) % 0.28/0.58 (step @p408 :rule beta-reduce :args ((= (_ (lambda @t52 (forall @t58 (or @t125 @t288))) tptp.rel_s5) (forall @t58 (or @t121 (tptp.rel_s5 @t54 @t47)))))) % 0.28/0.58 (step @p409 :rule refl :args (@t288)) % 0.28/0.58 (step @p410 :rule refl :args (@t56)) % 0.28/0.58 (step @p411 :rule cong :premises (@p410 @p409) :args ((= @t56 @t288))) % 0.28/0.58 (step @p412 :rule symm :premises (@p411)) % 0.28/0.58 (step @p413 :rule eq_resolve :premises (@p410 @p412)) % 0.28/0.58 (step @p414 :rule nary_cong :premises (@p79 @p413) :args (@t289)) % 0.28/0.58 (step @p415 :rule cong :premises (@p414) :args ((forall @t58 @t289))) % 0.28/0.58 (step @p416 :rule bool-impl-elim :args (@t57 @t56)) % 0.28/0.58 (step @p417 :rule cong :premises (@p416) :args (@t59)) % 0.28/0.58 (step @p418 :rule trans :premises (@p417 @p415)) % 0.28/0.58 (step @p419 :rule cong :premises (@p418) :args (@t60)) % 0.28/0.58 (step @p420 :rule trans :premises (@p24 @p419)) % 0.28/0.58 (step @p421 :rule ho_cong :premises (@p420 @p62)) % 0.28/0.58 (step @p422 :rule trans :premises (@p421 @p408)) % 0.28/0.58 (step @p423 :rule eq_resolve :premises (@p4 @p422)) % 0.28/0.58 (step @p424 :rule instantiate :premises (@p423) :args ((@list @t276 @t273))) % 0.28/0.58 (step @p425 :rule bool-double-not-elim :args (@t277)) % 0.28/0.58 (step @p426 :rule nary_cong :premises (@p390 @p425) :args ((or @t281 (not @t278)))) % 0.28/0.58 (step @p427 :rule cnf_or_neg :args (@t281 1)) % 0.28/0.58 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 0.28/0.58 (step @p429 :rule reordering :premises (@p428) :args ((or @t277 @t281))) % 0.28/0.58 (step @p430 :rule chain_m_resolution :premises (@p429 @p388) :args (@t277 @t283 @t284)) % 0.28/0.58 (step @p431 :rule cnf_or_pos :args (@t290)) % 0.28/0.58 (step @p432 :rule reordering :premises (@p431) :args ((or @t278 @t285 (not @t290)))) % 0.28/0.58 (step @p433 :rule chain_m_resolution :premises (@p432 @p430 @p424) :args (@t285 @t272 (@list @t277 @t290))) % 0.28/0.58 (step @p434 :rule cnf_or_pos :args (@t287)) % 0.28/0.58 (step @p435 :rule reordering :premises (@p434) :args ((or @t280 @t286 (not @t287)))) % 0.28/0.58 (step @p436 false :rule chain_m_resolution :premises (@p435 @p433 @p407 @p395) :args (false (@list false false false) (@list @t285 @t287 @t279))) % 0.28/0.58 ) % 0.28/0.58 % SZS output end Proof % 0.28/0.58 % cvc5 exiting %------------------------------------------------------------------------------