%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL878^1 : TPTP v9.3.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n031.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 11:24:05 AM UTC 2026 % Result : Theorem 0.22s 0.60s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL878^1 : TPTP v9.3.1. Released v5.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.41 % Computer : n031.cluster.edu % 0.09/0.41 % Model : x86_64 x86_64 % 0.09/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.41 % Memory : 8046.5625MB % 0.09/0.41 % OS : Linux 6.8.0-71-generic % 0.09/0.41 % CPULimit : 300 % 0.09/0.41 % WCLimit : 300 % 0.09/0.41 % DateTime : Fri Sep 4 12:33:39 UTC 2026 % 0.09/0.41 % CPUTime : % 0.13/0.49 %----Proving TH0 % 0.22/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.22/0.60 % SZS status Theorem % 0.22/0.60 % SZS output start Proof % 0.22/0.60 ( % 0.22/0.60 (declare-sort $$unsorted 0) % 0.22/0.60 (declare-sort tptp.mu 0) % 0.22/0.60 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.22/0.60 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.22/0.60 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.22/0.60 (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)))))) % 0.22/0.60 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.22/0.60 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.22/0.60 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.22/0.60 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.22/0.60 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.22/0.60 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.22/0.60 (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))))))) % 0.22/0.60 (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))))))) % 0.22/0.60 (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)))))) % 0.22/0.60 (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)))))) % 0.22/0.60 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.22/0.60 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.22/0.60 (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)))))) % 0.22/0.60 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.22/0.60 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.22/0.60 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.22/0.60 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.22/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.22/0.60 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.22/0.60 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.22/0.60 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.22/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.22/0.60 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.22/0.60 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.22/0.60 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.22/0.60 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.22/0.60 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.22/0.60 (define @t1 () (@var "V" $$unsorted)) % 0.22/0.60 (define @t2 () (@var "U" $$unsorted)) % 0.22/0.60 (define @t3 () (@var "I" (-> $$unsorted $$unsorted Bool))) % 0.22/0.60 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.22/0.60 (define @t5 () (@var "J" (-> $$unsorted $$unsorted Bool))) % 0.22/0.60 (define @t6 () (_ (_ @t5 @t2) @t1)) % 0.22/0.60 (define @t7 () (@list @t2 @t1)) % 0.22/0.60 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.22/0.60 (define @t9 () (@var "__flatten_var_0" $$unsorted)) % 0.22/0.60 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.22/0.60 (define @t11 () (@list @t10 @t9)) % 0.22/0.60 (define @t12 () (lambda @t11 (_ (_ (_ tptp.mimplies (_ (_ tptp.mbox @t3) @t10)) (_ (_ tptp.mbox @t5) @t10)) @t9))) % 0.22/0.60 (define @t13 () (= (_ tptp.mvalid (_ tptp.mforall_prop @t12)) @t8)) % 0.22/0.60 (define @t14 () (@list @t3 @t5)) % 0.22/0.60 (define @t15 () (forall @t14 @t13)) % 0.22/0.60 (define @t16 () (not @t15)) % 0.22/0.60 (define @t17 () (@var "Y" tptp.mu)) % 0.22/0.60 (define @t18 () (@var "X" tptp.mu)) % 0.22/0.60 (define @t19 () (@var "W" $$unsorted)) % 0.22/0.60 (define @t20 () (lambda (@list @t18 @t17 @t19) (= @t18 @t17))) % 0.22/0.60 (define @t21 () (@var "Y" (-> $$unsorted Bool))) % 0.22/0.60 (define @t22 () (@var "X" (-> $$unsorted Bool))) % 0.22/0.60 (define @t23 () (lambda (@list @t22 @t21 @t19) (= (_ @t22 @t19) (_ @t21 @t19)))) % 0.22/0.60 (define @t24 () (_ @t10 @t19)) % 0.22/0.60 (define @t25 () (not @t24)) % 0.22/0.60 (define @t26 () (@list @t10 @t19)) % 0.22/0.60 (define @t27 () (lambda @t26 @t25)) % 0.22/0.60 (define @t28 () (@var "Psi" (-> $$unsorted Bool))) % 0.22/0.60 (define @t29 () (_ @t28 @t19)) % 0.22/0.60 (define @t30 () (lambda (@list @t10 @t28 @t19) (or @t24 @t29))) % 0.22/0.60 (define @t31 () (_ tptp.mnot @t28)) % 0.22/0.60 (define @t32 () (_ tptp.mnot @t10)) % 0.22/0.60 (define @t33 () (_ tptp.mor @t32)) % 0.22/0.60 (define @t34 () (@list @t10 @t28 @t9)) % 0.22/0.60 (define @t35 () (lambda @t34 (_ (_ tptp.mnot (_ @t33 @t31)) @t9))) % 0.22/0.60 (define @t36 () (lambda @t34 (_ (_ @t33 @t28) @t9))) % 0.22/0.60 (define @t37 () (lambda @t34 (_ (_ (_ tptp.mor @t31) @t10) @t9))) % 0.22/0.60 (define @t38 () (lambda @t34 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t28)) (_ (_ tptp.mimplies @t28) @t10)) @t9))) % 0.22/0.60 (define @t39 () (lambda @t34 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t28)) @t9))) % 0.22/0.60 (define @t40 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.22/0.60 (define @t41 () (_ @t40 @t18)) % 0.22/0.60 (define @t42 () (lambda (@list @t40 @t19) (forall (@list @t18) (_ @t41 @t19)))) % 0.22/0.60 (define @t43 () (@var "P" (-> $$unsorted Bool))) % 0.22/0.60 (define @t44 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.22/0.60 (define @t45 () (_ @t44 @t43)) % 0.22/0.60 (define @t46 () (_ @t45 @t19)) % 0.22/0.60 (define @t47 () (@list @t43)) % 0.22/0.60 (define @t48 () (forall @t47 @t46)) % 0.22/0.60 (define @t49 () (@list @t44 @t19)) % 0.22/0.60 (define @t50 () (lambda @t49 @t48)) % 0.22/0.60 (define @t51 () (lambda (@list @t40 @t9) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t18 @t9) (_ (_ tptp.mnot @t41) @t9)))) @t9))) % 0.22/0.60 (define @t52 () (lambda (@list @t44 @t9) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t43 @t9) (_ (_ tptp.mnot @t45) @t9)))) @t9))) % 0.22/0.60 (define @t53 () (@list @t19)) % 0.22/0.60 (define @t54 () (lambda @t53 true)) % 0.22/0.60 (define @t55 () (_ @t10 @t1)) % 0.22/0.60 (define @t56 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.22/0.60 (define @t57 () (_ (_ @t56 @t19) @t1)) % 0.22/0.60 (define @t58 () (not @t57)) % 0.22/0.60 (define @t59 () (or @t58 @t55)) % 0.22/0.60 (define @t60 () (@list @t1)) % 0.22/0.60 (define @t61 () (forall @t60 @t59)) % 0.22/0.60 (define @t62 () (@list @t56 @t10 @t19)) % 0.22/0.60 (define @t63 () (lambda @t62 @t61)) % 0.22/0.60 (define @t64 () (lambda (@list @t56 @t10 @t9) (_ (_ tptp.mnot (_ (_ tptp.mbox @t56) @t32)) @t9))) % 0.22/0.60 (define @t65 () (@var "S" $$unsorted)) % 0.22/0.60 (define @t66 () (_ @t56 @t65)) % 0.22/0.60 (define @t67 () (@list @t65)) % 0.22/0.60 (define @t68 () (@list @t56)) % 0.22/0.60 (define @t69 () (lambda @t68 (forall @t67 (_ @t66 @t65)))) % 0.22/0.60 (define @t70 () (@var "T" $$unsorted)) % 0.22/0.60 (define @t71 () (_ @t56 @t70)) % 0.22/0.60 (define @t72 () (_ @t66 @t70)) % 0.22/0.61 (define @t73 () (lambda @t68 (forall (@list @t65 @t70) (=> @t72 (_ @t71 @t65))))) % 0.22/0.61 (define @t74 () (@list @t70)) % 0.22/0.61 (define @t75 () (lambda @t68 (forall @t67 (exists @t74 @t72)))) % 0.22/0.61 (define @t76 () (_ @t66 @t2)) % 0.22/0.61 (define @t77 () (_ @t71 @t2)) % 0.22/0.61 (define @t78 () (@list @t65 @t70 @t2)) % 0.22/0.61 (define @t79 () (lambda @t68 (forall @t78 (=> (and @t72 @t77) @t76)))) % 0.22/0.61 (define @t80 () (and @t72 @t76)) % 0.22/0.61 (define @t81 () (lambda @t68 (forall @t78 (=> @t80 @t77)))) % 0.22/0.61 (define @t82 () (= @t70 @t2)) % 0.22/0.61 (define @t83 () (lambda @t68 (forall @t78 (=> @t80 @t82)))) % 0.22/0.61 (define @t84 () (@list @t2)) % 0.22/0.61 (define @t85 () (lambda @t68 (forall @t67 (exists @t74 (and @t72 (forall @t84 (=> @t76 @t82))))))) % 0.22/0.61 (define @t86 () (_ @t56 @t2)) % 0.22/0.61 (define @t87 () (_ @t86 @t70)) % 0.22/0.61 (define @t88 () (lambda @t68 (forall @t78 (=> @t72 (exists @t84 (and @t76 @t87)))))) % 0.22/0.61 (define @t89 () (lambda @t68 (forall @t78 (=> @t80 (or @t77 @t82 @t87))))) % 0.22/0.61 (define @t90 () (lambda @t68 (forall @t78 (=> @t80 (exists @t60 (and (_ @t71 @t1) (_ @t86 @t1))))))) % 0.22/0.61 (define @t91 () (forall @t53 @t24)) % 0.22/0.61 (define @t92 () (@list @t10)) % 0.22/0.61 (define @t93 () (lambda @t92 @t91)) % 0.22/0.61 (define @t94 () (lambda @t92 (forall @t53 @t25))) % 0.22/0.61 (define @t95 () (lambda @t92 (exists @t53 @t24))) % 0.22/0.61 (define @t96 () (lambda @t92 (exists @t53 @t25))) % 0.22/0.61 (define @t97 () (@var "BOUND_VARIABLE_8412" $$unsorted)) % 0.22/0.61 (define @t98 () (_ @t43 @t97)) % 0.22/0.61 (define @t99 () (not (_ @t5 @t19 @t97))) % 0.22/0.61 (define @t100 () (_ @t43 @t1)) % 0.22/0.61 (define @t101 () (not (_ @t3 @t19 @t1))) % 0.22/0.61 (define @t102 () (not (forall @t60 (or @t101 @t100)))) % 0.22/0.61 (define @t103 () (or @t102 @t99 @t98)) % 0.22/0.61 (define @t104 () (@list @t19 @t43 @t97)) % 0.22/0.61 (define @t105 () (forall @t104 @t103)) % 0.22/0.61 (define @t106 () (@list @t43 @t97)) % 0.22/0.61 (define @t107 () (forall @t106 @t103)) % 0.22/0.61 (define @t108 () (lambda @t53 @t107)) % 0.22/0.61 (define @t109 () (_ @t108 @t19)) % 0.22/0.61 (define @t110 () (forall @t53 @t109)) % 0.22/0.61 (define @t111 () (_ @t10 @t19)) % 0.22/0.61 (define @t112 () (lambda @t92 (forall @t53 @t111))) % 0.22/0.61 (define @t113 () (or @t99 @t98)) % 0.22/0.61 (define @t114 () (or @t102 @t113)) % 0.22/0.61 (define @t115 () (forall @t106 @t114)) % 0.22/0.61 (define @t116 () (@list @t97)) % 0.22/0.61 (define @t117 () (forall @t116 @t114)) % 0.22/0.61 (define @t118 () (forall @t116 @t113)) % 0.22/0.61 (define @t119 () (or @t102 @t118)) % 0.22/0.61 (define @t120 () (not (_ @t5 @t19 @t1))) % 0.22/0.61 (define @t121 () (or @t102 (forall @t60 (or @t120 @t100)))) % 0.22/0.61 (define @t122 () (_ @t10 @t1)) % 0.22/0.61 (define @t123 () (forall @t60 (or (not (_ @t5 @t9 @t1)) @t122))) % 0.22/0.61 (define @t124 () (forall @t60 (or (not (_ @t3 @t9 @t1)) @t122))) % 0.22/0.61 (define @t125 () (not @t124)) % 0.22/0.61 (define @t126 () (or @t125 @t123)) % 0.22/0.61 (define @t127 () (lambda @t11 @t126)) % 0.22/0.61 (define @t128 () (_ @t127 @t43 @t19)) % 0.22/0.61 (define @t129 () (forall @t47 @t128)) % 0.22/0.61 (define @t130 () (lambda @t53 @t129)) % 0.22/0.61 (define @t131 () (_ @t44 @t43 @t19)) % 0.22/0.61 (define @t132 () (lambda @t49 (forall @t47 @t131))) % 0.22/0.61 (define @t133 () (@list @t9)) % 0.22/0.61 (define @t134 () (forall @t60 (or @t120 @t122))) % 0.22/0.61 (define @t135 () (lambda @t53 @t134)) % 0.22/0.61 (define @t136 () (_ @t135 @t9)) % 0.22/0.61 (define @t137 () (or @t125 @t136)) % 0.22/0.61 (define @t138 () (lambda @t133 @t137)) % 0.22/0.61 (define @t139 () (_ @t28 @t9)) % 0.22/0.61 (define @t140 () (@list @t28 @t9)) % 0.22/0.61 (define @t141 () (lambda @t26 @t134)) % 0.22/0.61 (define @t142 () (_ @t56 @t19 @t1)) % 0.22/0.61 (define @t143 () (lambda @t62 (forall @t60 (or (not @t142) @t122)))) % 0.22/0.61 (define @t144 () (_ @t143 @t5)) % 0.22/0.61 (define @t145 () (forall @t60 (or @t101 @t122))) % 0.22/0.61 (define @t146 () (lambda @t53 @t145)) % 0.22/0.61 (define @t147 () (_ @t146 @t9)) % 0.22/0.61 (define @t148 () (not @t147)) % 0.22/0.61 (define @t149 () (or @t148 @t139)) % 0.22/0.61 (define @t150 () (lambda @t140 @t149)) % 0.22/0.61 (define @t151 () (or (not (_ @t10 @t9)) @t139)) % 0.22/0.61 (define @t152 () (lambda @t34 @t151)) % 0.22/0.61 (define @t153 () (lambda @t26 @t145)) % 0.22/0.61 (define @t154 () (_ @t143 @t3)) % 0.22/0.61 (define @t155 () (lambda @t11 (_ (_ (_ @t152 (_ @t154 @t10)) (_ @t144 @t10)) @t9))) % 0.22/0.61 (define @t156 () (_ @t3 @t2 @t1)) % 0.22/0.61 (define @t157 () (_ @t5 @t2 @t1)) % 0.22/0.61 (define @t158 () (not @t6)) % 0.22/0.61 (define @t159 () (or @t158 @t4)) % 0.22/0.61 (define @t160 () (_ @t112 (_ @t132 @t155))) % 0.22/0.61 (define @t161 () (forall @t14 (= @t160 @t8))) % 0.22/0.61 (define @t162 () (or @t25 @t29)) % 0.22/0.61 (define @t163 () (lambda @t53 @t162)) % 0.22/0.61 (define @t164 () (@list @t28 @t19)) % 0.22/0.61 (define @t165 () (lambda @t53 @t25)) % 0.22/0.61 (define @t166 () (_ @t165 @t19)) % 0.22/0.61 (define @t167 () (or @t166 @t29)) % 0.22/0.61 (define @t168 () (lambda @t164 @t167)) % 0.22/0.61 (define @t169 () (forall @t14 (= (forall @t7 (or (not @t157) @t156)) @t105))) % 0.22/0.61 (define @t170 () (@quantifiers_skolemize @t169 1)) % 0.22/0.61 (define @t171 () (@quantifiers_skolemize @t169 0)) % 0.22/0.61 (define @t172 () (forall @t104 (or (not (forall @t60 (or (not (_ @t171 @t19 @t1)) @t100))) (not (_ @t170 @t19 @t97)) @t98))) % 0.22/0.61 (define @t173 () (forall @t7 (or (not (_ @t170 @t2 @t1)) (_ @t171 @t2 @t1)))) % 0.22/0.61 (define @t174 () (= @t173 @t172)) % 0.22/0.61 (define @t175 () (@quantifiers_skolemize @t172 2)) % 0.22/0.61 (define @t176 () (@quantifiers_skolemize @t172 1)) % 0.22/0.61 (define @t177 () (_ @t176 @t175)) % 0.22/0.61 (define @t178 () (@quantifiers_skolemize @t172 0)) % 0.22/0.61 (define @t179 () (_ @t170 @t178 @t175)) % 0.22/0.61 (define @t180 () (not @t179)) % 0.22/0.61 (define @t181 () (forall @t60 (or (not (_ @t171 @t178 @t1)) (_ @t176 @t1)))) % 0.22/0.61 (define @t182 () (not @t181)) % 0.22/0.61 (define @t183 () (or @t182 @t180 @t177)) % 0.22/0.61 (define @t184 () (not @t183)) % 0.22/0.61 (define @t185 () (not @t172)) % 0.22/0.61 (define @t186 () (_ @t171 @t178 @t175)) % 0.22/0.61 (define @t187 () (or @t180 @t186)) % 0.22/0.61 (define @t188 () (not @t186)) % 0.22/0.61 (define @t189 () (or @t188 @t177)) % 0.22/0.61 (define @t190 () (not @t173)) % 0.22/0.61 (define @t191 () (@quantifiers_skolemize @t173 1)) % 0.22/0.61 (define @t192 () (@quantifiers_skolemize @t173 0)) % 0.22/0.61 (define @t193 () (_ @t171 @t192 @t191)) % 0.22/0.61 (define @t194 () (not (_ @t170 @t192 @t191))) % 0.22/0.61 (define @t195 () (or @t194 @t193)) % 0.22/0.61 (define @t196 () (not @t195)) % 0.22/0.61 (define @t197 () (_ @t171 @t192)) % 0.22/0.61 (define @t198 () (_ @t197 @t191)) % 0.22/0.61 (define @t199 () (or @t194 @t198)) % 0.22/0.61 (define @t200 () (_ @t197 @t191)) % 0.22/0.61 (define @t201 () (_ @t171 @t192 @t1)) % 0.22/0.61 (define @t202 () (not @t201)) % 0.22/0.61 (define @t203 () (_ @t197 @t1)) % 0.22/0.61 (define @t204 () (or @t202 @t203)) % 0.22/0.61 (define @t205 () (_ @t197 @t1)) % 0.22/0.61 (define @t206 () (or @t202 @t205)) % 0.22/0.61 (define @t207 () (forall @t60 @t206)) % 0.22/0.61 (define @t208 () (not @t207)) % 0.22/0.61 (define @t209 () (or @t208 @t194 @t200)) % 0.22/0.61 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.22/0.61 (assume @p2 @t16) % 0.22/0.61 (assume @p3 true) % 0.22/0.61 (step @p4 (= tptp.meq_ind @t20) :rule refl :args (@t20)) % 0.22/0.61 (step @p5 (= tptp.meq_prop @t23) :rule refl :args (@t23)) % 0.22/0.61 (step @p6 (= tptp.mnot @t27) :rule refl :args (@t27)) % 0.22/0.61 (step @p7 (= tptp.mor @t30) :rule refl :args (@t30)) % 0.22/0.61 (step @p8 (= tptp.mand @t35) :rule refl :args (@t35)) % 0.22/0.61 (step @p9 (= tptp.mimplies @t36) :rule refl :args (@t36)) % 0.22/0.61 (step @p10 (= tptp.mimplied @t37) :rule refl :args (@t37)) % 0.22/0.61 (step @p11 (= tptp.mequiv @t38) :rule refl :args (@t38)) % 0.22/0.61 (step @p12 (= tptp.mxor @t39) :rule refl :args (@t39)) % 0.22/0.61 (step @p13 (= tptp.mforall_ind @t42) :rule refl :args (@t42)) % 0.22/0.61 (step @p14 (= tptp.mforall_prop @t50) :rule refl :args (@t50)) % 0.22/0.61 (step @p15 (= tptp.mexists_ind @t51) :rule refl :args (@t51)) % 0.22/0.61 (step @p16 (= tptp.mexists_prop @t52) :rule refl :args (@t52)) % 0.22/0.61 (step @p17 (= tptp.mtrue @t54) :rule refl :args (@t54)) % 0.22/0.61 (step @p18 (= tptp.mbox @t63) :rule refl :args (@t63)) % 0.22/0.61 (step @p19 (= tptp.mdia @t64) :rule refl :args (@t64)) % 0.22/0.61 (step @p20 (= tptp.mreflexive @t69) :rule refl :args (@t69)) % 0.22/0.61 (step @p21 (= tptp.msymmetric @t73) :rule refl :args (@t73)) % 0.22/0.61 (step @p22 (= tptp.mserial @t75) :rule refl :args (@t75)) % 0.22/0.61 (step @p23 (= tptp.mtransitive @t79) :rule refl :args (@t79)) % 0.22/0.61 (step @p24 (= tptp.meuclidean @t81) :rule refl :args (@t81)) % 0.22/0.61 (step @p25 (= tptp.mpartially_functional @t83) :rule refl :args (@t83)) % 0.22/0.61 (step @p26 (= tptp.mfunctional @t85) :rule refl :args (@t85)) % 0.22/0.61 (step @p27 (= tptp.mweakly_dense @t88) :rule refl :args (@t88)) % 0.22/0.61 (step @p28 (= tptp.mweakly_connected @t89) :rule refl :args (@t89)) % 0.22/0.61 (step @p29 (= tptp.mweakly_directed @t90) :rule refl :args (@t90)) % 0.22/0.61 (step @p30 (= tptp.mvalid @t93) :rule refl :args (@t93)) % 0.22/0.61 (step @p31 (= tptp.minvalid @t94) :rule refl :args (@t94)) % 0.22/0.61 (step @p32 (= tptp.msatisfiable @t95) :rule refl :args (@t95)) % 0.22/0.61 (step @p33 (= tptp.mcountersatisfiable @t96) :rule refl :args (@t96)) % 0.22/0.61 (step @p34 :rule quant-merge-prenex :args ((= (forall @t53 @t107) @t105))) % 0.22/0.61 (step @p35 :rule beta-reduce :args ((= @t109 @t107))) % 0.22/0.61 (step @p36 :rule cong :premises (@p35) :args (@t110)) % 0.22/0.61 (step @p37 :rule trans :premises (@p36 @p34)) % 0.22/0.61 (step @p38 :rule beta-reduce :args ((= (_ @t112 @t108) @t110))) % 0.22/0.61 (step @p39 :rule trans :premises (@p38 @p37)) % 0.22/0.61 (step @p40 :rule aci_norm :args ((= @t114 @t103))) % 0.22/0.61 (step @p41 :rule cong :premises (@p40) :args (@t115)) % 0.22/0.61 (step @p42 :rule quant-merge-prenex :args ((= (forall @t47 @t117) @t115))) % 0.22/0.61 (step @p43 :rule alpha_equiv :args (@t118 (@list @t97) (@list @t1))) % 0.22/0.61 (step @p44 :rule refl :args (@t102)) % 0.22/0.61 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t119)) % 0.22/0.61 (step @p46 :rule quant-miniscope-or :args ((= @t117 @t119))) % 0.22/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.22/0.61 (step @p48 :rule symm :premises (@p47)) % 0.22/0.61 (step @p49 :rule cong :premises (@p48) :args ((forall @t47 @t121))) % 0.22/0.61 (step @p50 :rule trans :premises (@p49 @p42)) % 0.22/0.61 (step @p51 :rule trans :premises (@p50 @p41)) % 0.22/0.61 (step @p52 :rule beta-reduce :args ((= @t128 @t121))) % 0.22/0.61 (step @p53 :rule cong :premises (@p52) :args (@t129)) % 0.22/0.61 (step @p54 :rule trans :premises (@p53 @p51)) % 0.22/0.61 (step @p55 :rule cong :premises (@p54) :args (@t130)) % 0.22/0.61 (step @p56 :rule beta-reduce :args ((= (_ @t132 @t127) @t130))) % 0.22/0.61 (step @p57 :rule trans :premises (@p56 @p55)) % 0.22/0.61 (step @p58 :rule beta-reduce :args ((= (_ (lambda @t133 @t126) @t9) @t126))) % 0.22/0.61 (step @p59 :rule refl :args (@t9)) % 0.22/0.61 (step @p60 :rule beta-reduce :args ((= @t136 @t123))) % 0.22/0.61 (step @p61 :rule refl :args (@t125)) % 0.22/0.61 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t137)) % 0.22/0.61 (step @p63 :rule cong :premises (@p62) :args (@t138)) % 0.22/0.61 (step @p64 :rule beta-reduce :args ((= (_ (lambda @t140 (or @t125 @t139)) @t135) @t138))) % 0.22/0.61 (step @p65 :rule trans :premises (@p64 @p63)) % 0.22/0.61 (step @p66 :rule beta-reduce :args ((= (_ @t141 @t10) @t135))) % 0.22/0.61 (step @p67 :rule refl :args (@t10)) % 0.22/0.61 (step @p68 :rule beta-reduce :args ((= @t144 @t141))) % 0.22/0.61 (step @p69 :rule ho_cong :premises (@p68 @p67)) % 0.22/0.61 (step @p70 :rule trans :premises (@p69 @p66)) % 0.22/0.61 (step @p71 :rule refl :args (@t139)) % 0.22/0.61 (step @p72 :rule beta-reduce :args ((= @t147 @t124))) % 0.22/0.61 (step @p73 :rule cong :premises (@p72) :args (@t148)) % 0.22/0.61 (step @p74 :rule nary_cong :premises (@p73 @p71) :args (@t149)) % 0.22/0.61 (step @p75 :rule cong :premises (@p74) :args (@t150)) % 0.22/0.61 (step @p76 :rule beta-reduce :args ((= (_ @t152 @t146) @t150))) % 0.22/0.61 (step @p77 :rule trans :premises (@p76 @p75)) % 0.22/0.61 (step @p78 :rule beta-reduce :args ((= (_ @t153 @t10) @t146))) % 0.22/0.61 (step @p79 :rule beta-reduce :args ((= @t154 @t153))) % 0.22/0.61 (step @p80 :rule ho_cong :premises (@p79 @p67)) % 0.22/0.61 (step @p81 :rule trans :premises (@p80 @p78)) % 0.22/0.61 (step @p82 :rule refl :args (@t152)) % 0.22/0.61 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.22/0.61 (step @p84 :rule trans :premises (@p83 @p77)) % 0.22/0.61 (step @p85 :rule ho_cong :premises (@p84 @p70)) % 0.22/0.61 (step @p86 :rule trans :premises (@p85 @p65)) % 0.22/0.61 (step @p87 :rule ho_cong :premises (@p86 @p59)) % 0.22/0.61 (step @p88 :rule trans :premises (@p87 @p58)) % 0.22/0.61 (step @p89 :rule cong :premises (@p88) :args (@t155)) % 0.22/0.61 (step @p90 :rule refl :args (@t132)) % 0.22/0.61 (step @p91 :rule ho_cong :premises (@p90 @p89)) % 0.22/0.61 (step @p92 :rule trans :premises (@p91 @p57)) % 0.22/0.61 (step @p93 :rule refl :args (@t112)) % 0.22/0.61 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.22/0.61 (step @p95 :rule trans :premises (@p94 @p39)) % 0.22/0.61 (step @p96 :rule refl :args (@t156)) % 0.22/0.61 (step @p97 :rule refl :args (@t4)) % 0.22/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t4 @t156))) % 0.22/0.61 (step @p99 :rule symm :premises (@p98)) % 0.22/0.61 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.22/0.61 (step @p101 :rule refl :args (@t157)) % 0.22/0.61 (step @p102 :rule refl :args (@t6)) % 0.22/0.61 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t6 @t157))) % 0.22/0.61 (step @p104 :rule symm :premises (@p103)) % 0.22/0.61 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.22/0.61 (step @p106 :rule cong :premises (@p105) :args (@t158)) % 0.22/0.61 (step @p107 :rule nary_cong :premises (@p106 @p100) :args (@t159)) % 0.22/0.61 (step @p108 :rule cong :premises (@p107) :args ((forall @t7 @t159))) % 0.22/0.61 (step @p109 :rule bool-impl-elim :args (@t6 @t4)) % 0.22/0.61 (step @p110 :rule cong :premises (@p109) :args (@t8)) % 0.22/0.61 (step @p111 :rule trans :premises (@p110 @p108)) % 0.22/0.61 (step @p112 :rule cong :premises (@p111 @p95) :args ((= @t8 @t160))) % 0.22/0.61 (step @p113 :rule eq-symm :args (@t160 @t8)) % 0.22/0.61 (step @p114 :rule trans :premises (@p113 @p112)) % 0.22/0.61 (step @p115 :rule cong :premises (@p114) :args (@t161)) % 0.22/0.61 (step @p116 :rule cong :premises (@p115) :args ((not @t161))) % 0.22/0.61 (step @p117 :rule refl :args (@t8)) % 0.22/0.61 (step @p118 :rule refl :args (@t5)) % 0.22/0.61 (step @p119 :rule refl :args (@t122)) % 0.22/0.61 (step @p120 :rule refl :args (@t55)) % 0.22/0.61 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t55 @t122))) % 0.22/0.61 (step @p122 :rule symm :premises (@p121)) % 0.22/0.61 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.22/0.61 (step @p124 :rule refl :args (@t142)) % 0.22/0.61 (step @p125 :rule refl :args (@t57)) % 0.22/0.61 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t57 @t142))) % 0.22/0.61 (step @p127 :rule symm :premises (@p126)) % 0.22/0.61 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.22/0.61 (step @p129 :rule cong :premises (@p128) :args (@t58)) % 0.22/0.61 (step @p130 :rule nary_cong :premises (@p129 @p123) :args (@t59)) % 0.22/0.61 (step @p131 :rule cong :premises (@p130) :args (@t61)) % 0.22/0.61 (step @p132 :rule cong :premises (@p131) :args (@t63)) % 0.22/0.61 (step @p133 :rule trans :premises (@p18 @p132)) % 0.22/0.61 (step @p134 :rule ho_cong :premises (@p133 @p118)) % 0.22/0.61 (step @p135 :rule ho_cong :premises (@p134 @p67)) % 0.22/0.61 (step @p136 :rule refl :args (@t3)) % 0.22/0.61 (step @p137 :rule ho_cong :premises (@p133 @p136)) % 0.22/0.61 (step @p138 :rule ho_cong :premises (@p137 @p67)) % 0.22/0.61 (step @p139 :rule beta-reduce :args ((= (_ @t163 @t9) @t151))) % 0.22/0.61 (step @p140 :rule beta-reduce :args ((= (_ (lambda @t164 @t162) @t28) @t163))) % 0.22/0.61 (step @p141 :rule refl :args (@t28)) % 0.22/0.61 (step @p142 :rule refl :args (@t29)) % 0.22/0.61 (step @p143 :rule beta-reduce :args ((= @t166 @t25))) % 0.22/0.61 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t167)) % 0.22/0.61 (step @p145 :rule cong :premises (@p144) :args (@t168)) % 0.22/0.61 (step @p146 :rule beta-reduce :args ((= (_ @t30 @t165) @t168))) % 0.22/0.61 (step @p147 :rule trans :premises (@p146 @p145)) % 0.22/0.61 (step @p148 :rule beta-reduce :args ((= (_ @t27 @t10) @t165))) % 0.22/0.61 (step @p149 :rule refl :args (@t30)) % 0.22/0.61 (step @p150 :rule ho_cong :premises (@p149 @p148)) % 0.22/0.61 (step @p151 :rule trans :premises (@p150 @p147)) % 0.22/0.61 (step @p152 :rule ho_cong :premises (@p151 @p141)) % 0.22/0.61 (step @p153 :rule trans :premises (@p152 @p140)) % 0.22/0.61 (step @p154 :rule ho_cong :premises (@p153 @p59)) % 0.22/0.61 (step @p155 :rule trans :premises (@p154 @p139)) % 0.22/0.61 (step @p156 :rule ho_cong :premises (@p6 @p67)) % 0.22/0.61 (step @p157 :rule ho_cong :premises (@p7 @p156)) % 0.22/0.61 (step @p158 :rule ho_cong :premises (@p157 @p141)) % 0.22/0.61 (step @p159 :rule ho_cong :premises (@p158 @p59)) % 0.22/0.61 (step @p160 :rule trans :premises (@p159 @p155)) % 0.22/0.61 (step @p161 :rule cong :premises (@p160) :args (@t36)) % 0.22/0.61 (step @p162 :rule trans :premises (@p9 @p161)) % 0.22/0.61 (step @p163 :rule ho_cong :premises (@p162 @p138)) % 0.22/0.61 (step @p164 :rule ho_cong :premises (@p163 @p135)) % 0.22/0.61 (step @p165 :rule ho_cong :premises (@p164 @p59)) % 0.22/0.61 (step @p166 :rule cong :premises (@p165) :args (@t12)) % 0.22/0.61 (step @p167 :rule refl :args (@t131)) % 0.22/0.61 (step @p168 :rule refl :args (@t46)) % 0.22/0.61 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t46 @t131))) % 0.22/0.61 (step @p170 :rule symm :premises (@p169)) % 0.22/0.61 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 0.22/0.61 (step @p172 :rule cong :premises (@p171) :args (@t48)) % 0.22/0.61 (step @p173 :rule cong :premises (@p172) :args (@t50)) % 0.22/0.61 (step @p174 :rule trans :premises (@p14 @p173)) % 0.22/0.61 (step @p175 :rule ho_cong :premises (@p174 @p166)) % 0.22/0.61 (step @p176 :rule refl :args (@t111)) % 0.22/0.61 (step @p177 :rule refl :args (@t24)) % 0.22/0.61 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t24 @t111))) % 0.22/0.61 (step @p179 :rule symm :premises (@p178)) % 0.22/0.61 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 0.22/0.61 (step @p181 :rule cong :premises (@p180) :args (@t91)) % 0.22/0.61 (step @p182 :rule cong :premises (@p181) :args (@t93)) % 0.22/0.61 (step @p183 :rule trans :premises (@p30 @p182)) % 0.22/0.61 (step @p184 :rule ho_cong :premises (@p183 @p175)) % 0.22/0.61 (step @p185 :rule cong :premises (@p184 @p117) :args (@t13)) % 0.22/0.61 (step @p186 :rule cong :premises (@p185) :args (@t15)) % 0.22/0.61 (step @p187 :rule cong :premises (@p186) :args (@t16)) % 0.22/0.61 (step @p188 :rule trans :premises (@p187 @p116)) % 0.22/0.61 (step @p189 :rule eq_resolve :premises (@p2 @p188)) % 0.22/0.61 (step @p190 :rule skolemize :premises (@p189)) % 0.22/0.61 (step @p191 :rule cnf_equiv_neg2 :args (@t174)) % 0.22/0.61 (step @p192 :rule refl :args (@t184)) % 0.22/0.61 (step @p193 :rule bool-double-not-elim :args (@t172)) % 0.22/0.61 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t185) @t184))) % 0.22/0.61 (assume-push @p284 @t185) % 0.22/0.61 (step @p196 :rule skolemize :premises (@p284)) % 0.22/0.61 (step-pop @p285 :rule scope :premises (@p196)) % 0.22/0.61 (step @p197 :rule process_scope :premises (@p285) :args (@t184)) % 0.22/0.61 (step @p199 :rule implies_elim :premises (@p197)) % 0.22/0.61 (step @p200 :rule eq_resolve :premises (@p199 @p194)) % 0.22/0.61 (step @p201 :rule bool-double-not-elim :args (@t181)) % 0.22/0.61 (step @p202 :rule refl :args (@t183)) % 0.22/0.61 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t183 (not @t182)))) % 0.22/0.61 (step @p204 :rule cnf_or_neg :args (@t183 0)) % 0.22/0.61 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.22/0.61 (step @p206 :rule reordering :premises (@p205) :args ((or @t181 @t183))) % 0.22/0.61 (step @p207 :rule bool-double-not-elim :args (@t179)) % 0.22/0.61 (step @p208 :rule nary_cong :premises (@p202 @p207) :args ((or @t183 (not @t180)))) % 0.22/0.61 (step @p209 :rule cnf_or_neg :args (@t183 1)) % 0.22/0.61 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.22/0.61 (step @p211 :rule reordering :premises (@p210) :args ((or @t179 @t183))) % 0.22/0.61 (step @p212 :rule cnf_or_neg :args (@t183 2)) % 0.22/0.61 (assume-push @p286 @t173) % 0.22/0.61 (step @p214 :rule instantiate :premises (@p286) :args ((@list @t178 @t175))) % 0.22/0.61 (step-pop @p287 :rule scope :premises (@p214)) % 0.22/0.61 (step @p215 :rule process_scope :premises (@p287) :args (@t187)) % 0.22/0.61 (step @p217 :rule implies_elim :premises (@p215)) % 0.22/0.61 (assume-push @p288 @t181) % 0.22/0.61 (step @p219 :rule instantiate :premises (@p288) :args ((@list @t175))) % 0.22/0.61 (step-pop @p289 :rule scope :premises (@p219)) % 0.22/0.61 (step @p220 :rule process_scope :premises (@p289) :args (@t189)) % 0.22/0.61 (step @p222 :rule implies_elim :premises (@p220)) % 0.22/0.61 (step @p223 :rule cnf_or_pos :args (@t187)) % 0.22/0.61 (step @p224 :rule reordering :premises (@p223) :args ((or @t180 @t186 (not @t187)))) % 0.22/0.61 (step @p225 :rule cnf_or_pos :args (@t189)) % 0.22/0.61 (step @p226 :rule reordering :premises (@p225) :args ((or @t177 @t188 (not @t189)))) % 0.22/0.61 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p222 @p217 @p212 @p211 @p206 @p200 @p191 @p190) :args (@t190 (@list false false false true false false true true true) (@list @t186 @t189 @t187 @t177 @t179 @t181 @t183 @t172 @t174))) % 0.22/0.61 (step @p228 :rule cnf_equiv_neg1 :args (@t174)) % 0.22/0.61 (step @p229 :rule reordering :premises (@p228) :args ((or @t173 @t172 @t174))) % 0.22/0.61 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p190) :args (@t172 (@list true true) (@list @t173 @t174))) % 0.22/0.61 (step @p231 :rule refl :args (@t196)) % 0.22/0.61 (step @p232 :rule bool-double-not-elim :args (@t173)) % 0.22/0.61 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or (not @t190) @t196))) % 0.22/0.61 (assume-push @p290 @t190) % 0.22/0.61 (step @p235 :rule skolemize :premises (@p290)) % 0.22/0.61 (step-pop @p291 :rule scope :premises (@p235)) % 0.22/0.61 (step @p236 :rule process_scope :premises (@p291) :args (@t196)) % 0.22/0.61 (step @p238 :rule implies_elim :premises (@p236)) % 0.22/0.61 (step @p239 :rule eq_resolve :premises (@p238 @p233)) % 0.22/0.61 (step @p240 :rule chain_m_resolution :premises (@p239 @p227) :args (@t196 (@list true) (@list @t173))) % 0.22/0.61 (step @p241 :rule refl :args (@t193)) % 0.22/0.61 (step @p242 :rule refl :args (@t198)) % 0.22/0.61 (step @p243 :rule cong :premises (@p242 @p241) :args ((= @t198 @t193))) % 0.22/0.61 (step @p244 :rule symm :premises (@p243)) % 0.22/0.61 (step @p245 :rule eq_resolve :premises (@p242 @p244)) % 0.22/0.61 (step @p246 :rule refl :args (@t194)) % 0.22/0.61 (step @p247 :rule nary_cong :premises (@p246 @p245) :args (@t199)) % 0.22/0.61 (step @p248 :rule refl :args (@t172)) % 0.22/0.61 (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t172 @t199))) % 0.22/0.61 (step @p250 :rule aci_norm :args ((= (or false @t194 @t198) @t199))) % 0.22/0.61 (step @p251 :rule refl :args (@t200)) % 0.22/0.61 (step @p252 :rule evaluate :args ((not true))) % 0.22/0.61 (step @p253 :rule quant-unused-vars :args ((= (forall @t60 true) true))) % 0.22/0.61 (step @p254 :rule bool-or-taut2 :args (false @t201 false false)) % 0.22/0.61 (step @p255 :rule cong :premises (@p254) :args ((forall @t60 (or @t202 @t201)))) % 0.22/0.61 (step @p256 :rule trans :premises (@p255 @p253)) % 0.22/0.61 (step @p257 :rule refl :args (@t201)) % 0.22/0.61 (step @p258 :rule refl :args (@t203)) % 0.22/0.61 (step @p259 :rule cong :premises (@p258 @p257) :args ((= @t203 @t201))) % 0.22/0.61 (step @p260 :rule symm :premises (@p259)) % 0.22/0.61 (step @p261 :rule eq_resolve :premises (@p258 @p260)) % 0.22/0.61 (step @p262 :rule refl :args (@t202)) % 0.22/0.61 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t204)) % 0.22/0.61 (step @p264 :rule cong :premises (@p263) :args ((forall @t60 @t204))) % 0.22/0.61 (step @p265 :rule trans :premises (@p264 @p256)) % 0.22/0.61 (step @p266 :rule refl :args (@t205)) % 0.22/0.61 (step @p267 :rule refl :args (@t202)) % 0.22/0.61 (step @p268 :rule nary_cong :premises (@p267 @p266) :args (@t206)) % 0.22/0.61 (step @p269 :rule cong :premises (@p268) :args (@t207)) % 0.22/0.61 (step @p270 :rule trans :premises (@p269 @p265)) % 0.22/0.61 (step @p271 :rule cong :premises (@p270) :args (@t208)) % 0.22/0.61 (step @p272 :rule trans :premises (@p271 @p252)) % 0.22/0.61 (step @p273 :rule nary_cong :premises (@p272 @p246 @p251) :args (@t209)) % 0.22/0.61 (step @p274 :rule trans :premises (@p273 @p250)) % 0.22/0.61 (step @p275 :rule cong :premises (@p248 @p274) :args ((=> @t172 @t209))) % 0.22/0.61 (assume-push @p292 @t172) % 0.22/0.61 (step @p277 :rule instantiate :premises (@p292) :args ((@list @t192 @t197 @t191))) % 0.22/0.61 (step-pop @p293 :rule scope :premises (@p277)) % 0.22/0.61 (step @p278 :rule process_scope :premises (@p293) :args (@t209)) % 0.22/0.61 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 0.22/0.61 (step @p281 :rule eq_resolve :premises (@p280 @p249)) % 0.22/0.61 (step @p282 :rule implies_elim :premises (@p281)) % 0.22/0.61 (step @p283 false :rule chain_m_resolution :premises (@p282 @p240 @p230) :args (false (@list true false) (@list @t195 @t172))) % 0.22/0.61 ) % 0.22/0.61 % SZS output end Proof % 0.22/0.61 % cvc5 exiting %------------------------------------------------------------------------------