%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL715^1 : TPTP v9.3.1. Bugfixed v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 11:23:41 AM UTC 2026 % Result : Theorem 170.77s 171.67s % Output : Proof 170.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL715^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.36 % Computer : n020.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 5 20:55:12 UTC 2026 % 0.12/0.37 % CPUTime : % 0.12/0.45 %----Proving TH0 % 170.77/171.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 170.77/171.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 170.77/171.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 170.77/171.67 --- Run --ho-elim --full-saturate-quant at 18s... % 170.77/171.67 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 170.77/171.67 % SZS status Theorem % 170.77/171.67 % SZS output start Proof % 170.77/171.67 ( % 170.77/171.67 (declare-sort $$unsorted 0) % 170.77/171.67 (declare-sort tptp.mu 0) % 170.77/171.67 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 170.77/171.67 (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" $$unsorted)) (= _let_2 _let_1))))) % 170.77/171.67 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 170.77/171.67 (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)))))) % 170.77/171.67 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 170.77/171.67 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 170.77/171.67 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 170.77/171.67 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 170.77/171.67 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 170.77/171.67 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 170.77/171.67 (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))))))) % 170.77/171.67 (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))))))) % 170.77/171.67 (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)))))) % 170.77/171.67 (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)))))) % 170.77/171.67 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 170.77/171.67 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 170.77/171.67 (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)))))) % 170.77/171.67 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 170.77/171.67 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 170.77/171.67 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 170.77/171.67 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 170.77/171.67 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 170.77/171.67 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 170.77/171.67 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 170.77/171.67 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 170.77/171.67 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 170.77/171.67 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 170.77/171.67 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 170.77/171.67 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 170.77/171.67 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 170.77/171.67 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 170.77/171.67 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 170.77/171.67 (define @t2 () (@var "__flatten_var_0" $$unsorted)) % 170.77/171.67 (define @t3 () (@var "A" (-> $$unsorted Bool))) % 170.77/171.67 (define @t4 () (_ tptp.mbox @t1)) % 170.77/171.67 (define @t5 () (@list @t3 @t2)) % 170.77/171.67 (define @t6 () (lambda @t5 (_ (_ (_ tptp.mequiv (_ (_ tptp.mdia @t1) @t3)) (_ @t4 @t3)) @t2))) % 170.77/171.67 (define @t7 () (=> (_ tptp.mvalid (_ tptp.mforall_prop @t6)) (_ tptp.mfunctional @t1))) % 170.77/171.67 (define @t8 () (@list @t1)) % 170.77/171.67 (define @t9 () (forall @t8 @t7)) % 170.77/171.67 (define @t10 () (not @t9)) % 170.77/171.67 (define @t11 () (@var "Y" tptp.mu)) % 170.77/171.67 (define @t12 () (@var "X" tptp.mu)) % 170.77/171.67 (define @t13 () (@var "W" $$unsorted)) % 170.77/171.67 (define @t14 () (lambda (@list @t12 @t11 @t13) (= @t12 @t11))) % 170.77/171.67 (define @t15 () (@var "Y" (-> $$unsorted Bool))) % 170.77/171.67 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 170.77/171.67 (define @t17 () (lambda (@list @t16 @t15 @t13) (= (_ @t16 @t13) (_ @t15 @t13)))) % 170.77/171.67 (define @t18 () (@var "Phi" (-> $$unsorted Bool))) % 170.77/171.67 (define @t19 () (_ @t18 @t13)) % 170.77/171.67 (define @t20 () (not @t19)) % 170.77/171.67 (define @t21 () (@list @t18 @t13)) % 170.77/171.67 (define @t22 () (lambda @t21 @t20)) % 170.77/171.67 (define @t23 () (@var "Psi" (-> $$unsorted Bool))) % 170.77/171.67 (define @t24 () (_ @t23 @t13)) % 170.77/171.67 (define @t25 () (lambda (@list @t18 @t23 @t13) (or @t19 @t24))) % 170.77/171.67 (define @t26 () (_ tptp.mnot @t23)) % 170.77/171.67 (define @t27 () (_ tptp.mnot @t18)) % 170.77/171.67 (define @t28 () (_ tptp.mor @t27)) % 170.77/171.67 (define @t29 () (@list @t18 @t23 @t2)) % 170.77/171.67 (define @t30 () (lambda @t29 (_ (_ tptp.mnot (_ @t28 @t26)) @t2))) % 170.77/171.67 (define @t31 () (lambda @t29 (_ (_ @t28 @t23) @t2))) % 170.77/171.67 (define @t32 () (lambda @t29 (_ (_ (_ tptp.mor @t26) @t18) @t2))) % 170.77/171.67 (define @t33 () (lambda @t29 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t18) @t23)) (_ (_ tptp.mimplies @t23) @t18)) @t2))) % 170.77/171.67 (define @t34 () (lambda @t29 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t18) @t23)) @t2))) % 170.77/171.67 (define @t35 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 170.77/171.67 (define @t36 () (_ @t35 @t12)) % 170.77/171.67 (define @t37 () (lambda (@list @t35 @t13) (forall (@list @t12) (_ @t36 @t13)))) % 170.77/171.67 (define @t38 () (@var "P" (-> $$unsorted Bool))) % 170.77/171.67 (define @t39 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 170.77/171.67 (define @t40 () (_ @t39 @t38)) % 170.77/171.67 (define @t41 () (_ @t40 @t13)) % 170.77/171.67 (define @t42 () (@list @t38)) % 170.77/171.67 (define @t43 () (forall @t42 @t41)) % 170.77/171.67 (define @t44 () (@list @t39 @t13)) % 170.77/171.67 (define @t45 () (lambda @t44 @t43)) % 170.77/171.67 (define @t46 () (lambda (@list @t35 @t2) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t12 @t2) (_ (_ tptp.mnot @t36) @t2)))) @t2))) % 170.77/171.67 (define @t47 () (lambda (@list @t39 @t2) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t38 @t2) (_ (_ tptp.mnot @t40) @t2)))) @t2))) % 170.77/171.67 (define @t48 () (@list @t13)) % 170.77/171.67 (define @t49 () (lambda @t48 true)) % 170.77/171.67 (define @t50 () (@var "V" $$unsorted)) % 170.77/171.67 (define @t51 () (_ @t18 @t50)) % 170.77/171.67 (define @t52 () (_ (_ @t1 @t13) @t50)) % 170.77/171.67 (define @t53 () (not @t52)) % 170.77/171.67 (define @t54 () (or @t53 @t51)) % 170.77/171.67 (define @t55 () (@list @t50)) % 170.77/171.67 (define @t56 () (forall @t55 @t54)) % 170.77/171.67 (define @t57 () (@list @t1 @t18 @t13)) % 170.77/171.67 (define @t58 () (lambda @t57 @t56)) % 170.77/171.67 (define @t59 () (@list @t1 @t18 @t2)) % 170.77/171.67 (define @t60 () (lambda @t59 (_ (_ tptp.mnot (_ @t4 @t27)) @t2))) % 170.77/171.67 (define @t61 () (@var "S" $$unsorted)) % 170.77/171.67 (define @t62 () (_ @t1 @t61)) % 170.77/171.67 (define @t63 () (@list @t61)) % 170.77/171.67 (define @t64 () (lambda @t8 (forall @t63 (_ @t62 @t61)))) % 170.77/171.67 (define @t65 () (@var "T" $$unsorted)) % 170.77/171.67 (define @t66 () (_ @t1 @t65)) % 170.77/171.67 (define @t67 () (_ @t62 @t65)) % 170.77/171.67 (define @t68 () (lambda @t8 (forall (@list @t61 @t65) (=> @t67 (_ @t66 @t61))))) % 170.77/171.67 (define @t69 () (@list @t65)) % 170.77/171.67 (define @t70 () (lambda @t8 (forall @t63 (exists @t69 @t67)))) % 170.77/171.67 (define @t71 () (@var "U" $$unsorted)) % 170.77/171.67 (define @t72 () (_ @t62 @t71)) % 170.77/171.67 (define @t73 () (_ @t66 @t71)) % 170.77/171.67 (define @t74 () (@list @t61 @t65 @t71)) % 170.77/171.67 (define @t75 () (lambda @t8 (forall @t74 (=> (and @t67 @t73) @t72)))) % 170.77/171.67 (define @t76 () (and @t67 @t72)) % 170.77/171.67 (define @t77 () (lambda @t8 (forall @t74 (=> @t76 @t73)))) % 170.77/171.67 (define @t78 () (= @t65 @t71)) % 170.77/171.67 (define @t79 () (lambda @t8 (forall @t74 (=> @t76 @t78)))) % 170.77/171.67 (define @t80 () (@list @t71)) % 170.77/171.67 (define @t81 () (forall @t80 (=> @t72 @t78))) % 170.77/171.67 (define @t82 () (and @t67 @t81)) % 170.77/171.67 (define @t83 () (exists @t69 @t82)) % 170.77/171.67 (define @t84 () (forall @t63 @t83)) % 170.77/171.67 (define @t85 () (lambda @t8 @t84)) % 170.77/171.67 (define @t86 () (_ @t1 @t71)) % 170.77/171.67 (define @t87 () (_ @t86 @t65)) % 170.77/171.67 (define @t88 () (lambda @t8 (forall @t74 (=> @t67 (exists @t80 (and @t72 @t87)))))) % 170.77/171.67 (define @t89 () (lambda @t8 (forall @t74 (=> @t76 (or @t73 @t78 @t87))))) % 170.77/171.67 (define @t90 () (lambda @t8 (forall @t74 (=> @t76 (exists @t55 (and (_ @t66 @t50) (_ @t86 @t50))))))) % 170.77/171.67 (define @t91 () (forall @t48 @t19)) % 170.77/171.67 (define @t92 () (@list @t18)) % 170.77/171.67 (define @t93 () (lambda @t92 @t91)) % 170.77/171.67 (define @t94 () (lambda @t92 (forall @t48 @t20))) % 170.77/171.67 (define @t95 () (lambda @t92 (exists @t48 @t19))) % 170.77/171.67 (define @t96 () (lambda @t92 (exists @t48 @t20))) % 170.77/171.67 (define @t97 () (@var "BOUND_VARIABLE_8507" $$unsorted)) % 170.77/171.67 (define @t98 () (@var "BOUND_VARIABLE_8528" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 170.77/171.67 (define @t99 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 170.77/171.67 (define @t100 () (_ @t99 @t98 @t97)) % 170.77/171.67 (define @t101 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 170.77/171.67 (define @t102 () (@var "BOUND_VARIABLE_8547" (@ho-elim-sort (-> $$unsorted Bool)))) % 170.77/171.67 (define @t103 () (_ @t101 @t102 @t50)) % 170.77/171.67 (define @t104 () (not @t103)) % 170.77/171.67 (define @t105 () (@var "BOUND_VARIABLE_8479" $$unsorted)) % 170.77/171.67 (define @t106 () (not (_ @t101 (_ @t99 @t98 @t105) @t50))) % 170.77/171.67 (define @t107 () (@list @t105 @t102)) % 170.77/171.67 (define @t108 () (@var "BOUND_VARIABLE_8452" $$unsorted)) % 170.77/171.67 (define @t109 () (@var "BOUND_VARIABLE_8566" (@ho-elim-sort (-> $$unsorted Bool)))) % 170.77/171.67 (define @t110 () (_ @t101 @t109 @t108)) % 170.77/171.67 (define @t111 () (@var "BOUND_VARIABLE_8469" $$unsorted)) % 170.77/171.67 (define @t112 () (_ @t99 @t98 @t111)) % 170.77/171.67 (define @t113 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 170.77/171.67 (define @t114 () (not (_ @t101 @t109 @t113))) % 170.77/171.67 (define @t115 () (@list @t111 @t109 @t113 @t108)) % 170.77/171.67 (define @t116 () (forall (@list @t98 @t97) (or (not (forall @t115 (or (not (_ @t101 @t112 @t113)) @t114 (not (_ @t101 @t112 @t108)) @t110))) (not (forall @t107 (or (not (forall @t55 (or @t106 @t103))) (not (forall @t55 (or @t106 @t104)))))) (not (forall @t69 (or (not (_ @t101 @t100 @t65)) (not (forall @t80 (or (not (_ @t101 @t100 @t71)) @t78))))))))) % 170.77/171.67 (define @t117 () (not (forall @t69 (or (not (_ @t1 @t97 @t65)) (not (forall @t80 (or (not (_ @t1 @t97 @t71)) @t78))))))) % 170.77/171.67 (define @t118 () (@var "BOUND_VARIABLE_8431" (-> $$unsorted Bool))) % 170.77/171.67 (define @t119 () (_ @t118 @t50)) % 170.77/171.67 (define @t120 () (not @t119)) % 170.77/171.67 (define @t121 () (not (_ @t1 @t105 @t50))) % 170.77/171.67 (define @t122 () (or (not (forall @t55 (or @t121 @t119))) (not (forall @t55 (or @t121 @t120))))) % 170.77/171.67 (define @t123 () (forall (@list @t105 @t118) @t122)) % 170.77/171.67 (define @t124 () (not @t123)) % 170.77/171.67 (define @t125 () (@var "BOUND_VARIABLE_8420" (-> $$unsorted Bool))) % 170.77/171.67 (define @t126 () (_ @t125 @t108)) % 170.77/171.67 (define @t127 () (not (_ @t125 @t113))) % 170.77/171.67 (define @t128 () (or (not (_ @t1 @t111 @t113)) @t127 (not (_ @t1 @t111 @t108)) @t126)) % 170.77/171.67 (define @t129 () (forall (@list @t111 @t125 @t113 @t108) @t128)) % 170.77/171.67 (define @t130 () (not @t129)) % 170.77/171.67 (define @t131 () (or @t130 @t124 @t117)) % 170.77/171.67 (define @t132 () (forall (@list @t1 @t97) @t131)) % 170.77/171.67 (define @t133 () (@list @t97)) % 170.77/171.67 (define @t134 () (forall @t133 @t131)) % 170.77/171.67 (define @t135 () (forall @t133 @t117)) % 170.77/171.67 (define @t136 () (or @t130 @t124 @t135)) % 170.77/171.67 (define @t137 () (_ @t1 @t61 @t71)) % 170.77/171.67 (define @t138 () (forall @t80 (or (not @t137) @t78))) % 170.77/171.67 (define @t139 () (not @t138)) % 170.77/171.67 (define @t140 () (_ @t1 @t61 @t65)) % 170.77/171.67 (define @t141 () (forall @t63 (not (forall @t69 (or (not @t140) @t139))))) % 170.77/171.67 (define @t142 () (or @t130 @t124 @t141)) % 170.77/171.67 (define @t143 () (and @t129 @t123)) % 170.77/171.67 (define @t144 () (_ (lambda @t8 @t141) @t1)) % 170.77/171.67 (define @t145 () (@list @t118)) % 170.77/171.67 (define @t146 () (forall (@list @t105) (forall @t145 @t122))) % 170.77/171.67 (define @t147 () (@list @t125 @t113 @t108)) % 170.77/171.67 (define @t148 () (forall (@list @t111) (forall @t147 @t128))) % 170.77/171.67 (define @t149 () (_ @t1 @t13 @t50)) % 170.77/171.67 (define @t150 () (not @t149)) % 170.77/171.67 (define @t151 () (forall @t145 (or (not (forall @t55 (or @t150 @t119))) (not (forall @t55 (or @t150 @t120)))))) % 170.77/171.67 (define @t152 () (forall @t48 @t151)) % 170.77/171.67 (define @t153 () (@list @t13)) % 170.77/171.67 (define @t154 () (not (_ @t1 @t13 @t108))) % 170.77/171.67 (define @t155 () (not (_ @t1 @t13 @t113))) % 170.77/171.67 (define @t156 () (or @t155 @t127 @t154 @t126)) % 170.77/171.67 (define @t157 () (forall @t147 @t156)) % 170.77/171.67 (define @t158 () (forall @t48 @t157)) % 170.77/171.67 (define @t159 () (and @t158 @t152)) % 170.77/171.67 (define @t160 () (and @t157 @t151)) % 170.77/171.67 (define @t161 () (lambda @t48 @t160)) % 170.77/171.67 (define @t162 () (_ @t161 @t13)) % 170.77/171.67 (define @t163 () (forall @t48 @t162)) % 170.77/171.67 (define @t164 () (_ @t18 @t13)) % 170.77/171.67 (define @t165 () (lambda @t92 (forall @t48 @t164))) % 170.77/171.67 (define @t166 () (or @t154 @t126)) % 170.77/171.67 (define @t167 () (or @t155 @t127)) % 170.77/171.67 (define @t168 () (or @t167 @t166)) % 170.77/171.67 (define @t169 () (forall @t147 @t168)) % 170.77/171.67 (define @t170 () (forall (@list @t113 @t108) @t168)) % 170.77/171.67 (define @t171 () (@list @t125)) % 170.77/171.67 (define @t172 () (forall (@list @t108) @t166)) % 170.77/171.67 (define @t173 () (@list @t50)) % 170.77/171.67 (define @t174 () (forall (@list @t113) @t167)) % 170.77/171.67 (define @t175 () (or @t174 @t172)) % 170.77/171.67 (define @t176 () (_ @t125 @t50)) % 170.77/171.67 (define @t177 () (forall @t171 (or (forall @t55 (or @t150 (not @t176))) (forall @t55 (or @t150 @t176))))) % 170.77/171.67 (define @t178 () (_ @t38 @t50)) % 170.77/171.67 (define @t179 () (forall @t55 (or @t150 (not @t178)))) % 170.77/171.67 (define @t180 () (forall @t55 (or @t150 @t178))) % 170.77/171.67 (define @t181 () (or (not @t180) (not @t179))) % 170.77/171.67 (define @t182 () (forall @t42 @t181)) % 170.77/171.67 (define @t183 () (@list @t38)) % 170.77/171.67 (define @t184 () (or @t179 @t180)) % 170.77/171.67 (define @t185 () (forall @t42 @t184)) % 170.77/171.67 (define @t186 () (and @t185 @t182)) % 170.77/171.67 (define @t187 () (not @t181)) % 170.77/171.67 (define @t188 () (not @t184)) % 170.77/171.67 (define @t189 () (not (or @t188 @t187))) % 170.77/171.67 (define @t190 () (_ @t3 @t50)) % 170.77/171.67 (define @t191 () (not (_ @t1 @t2 @t50))) % 170.77/171.67 (define @t192 () (forall @t55 (or @t191 (not @t190)))) % 170.77/171.67 (define @t193 () (not @t192)) % 170.77/171.67 (define @t194 () (forall @t55 (or @t191 @t190))) % 170.77/171.67 (define @t195 () (not (or (not (or @t192 @t194)) (not (or (not @t194) @t193))))) % 170.77/171.67 (define @t196 () (lambda @t5 @t195)) % 170.77/171.67 (define @t197 () (_ @t196 @t38 @t13)) % 170.77/171.67 (define @t198 () (forall @t42 @t197)) % 170.77/171.67 (define @t199 () (lambda @t48 @t198)) % 170.77/171.67 (define @t200 () (_ @t39 @t38 @t13)) % 170.77/171.67 (define @t201 () (lambda @t44 (forall @t42 @t200))) % 170.77/171.67 (define @t202 () (@list @t2)) % 170.77/171.67 (define @t203 () (lambda @t48 (forall @t55 (or @t150 @t190)))) % 170.77/171.67 (define @t204 () (_ @t203 @t2)) % 170.77/171.67 (define @t205 () (not @t204)) % 170.77/171.67 (define @t206 () (or @t205 @t193)) % 170.77/171.67 (define @t207 () (not @t206)) % 170.77/171.67 (define @t208 () (or @t192 @t204)) % 170.77/171.67 (define @t209 () (not @t208)) % 170.77/171.67 (define @t210 () (or @t209 @t207)) % 170.77/171.67 (define @t211 () (not @t210)) % 170.77/171.67 (define @t212 () (lambda @t202 @t211)) % 170.77/171.67 (define @t213 () (_ @t23 @t2)) % 170.77/171.67 (define @t214 () (not @t213)) % 170.77/171.67 (define @t215 () (@list @t23 @t2)) % 170.77/171.67 (define @t216 () (_ @t18 @t50)) % 170.77/171.67 (define @t217 () (forall @t55 (or @t150 @t216))) % 170.77/171.67 (define @t218 () (lambda @t21 @t217)) % 170.77/171.67 (define @t219 () (_ (lambda @t57 @t217) @t1)) % 170.77/171.67 (define @t220 () (lambda @t202 @t193)) % 170.77/171.67 (define @t221 () (_ @t220 @t2)) % 170.77/171.67 (define @t222 () (or @t214 @t221)) % 170.77/171.67 (define @t223 () (not @t222)) % 170.77/171.67 (define @t224 () (not @t221)) % 170.77/171.67 (define @t225 () (or @t224 @t213)) % 170.77/171.67 (define @t226 () (not @t225)) % 170.77/171.67 (define @t227 () (or @t226 @t223)) % 170.77/171.67 (define @t228 () (not @t227)) % 170.77/171.67 (define @t229 () (lambda @t215 @t228)) % 170.77/171.67 (define @t230 () (_ @t18 @t2)) % 170.77/171.67 (define @t231 () (or @t214 @t230)) % 170.77/171.67 (define @t232 () (not @t230)) % 170.77/171.67 (define @t233 () (or @t232 @t213)) % 170.77/171.67 (define @t234 () (not @t233)) % 170.77/171.67 (define @t235 () (not (or @t234 (not @t231)))) % 170.77/171.67 (define @t236 () (lambda @t29 @t235)) % 170.77/171.67 (define @t237 () (not @t216)) % 170.77/171.67 (define @t238 () (not (forall @t55 (or @t191 @t237)))) % 170.77/171.67 (define @t239 () (lambda (@list @t18 @t2) @t238)) % 170.77/171.67 (define @t240 () (_ (lambda @t59 @t238) @t1)) % 170.77/171.67 (define @t241 () (lambda @t5 (_ (_ (_ @t236 (_ @t240 @t3)) (_ @t219 @t3)) @t2))) % 170.77/171.67 (define @t242 () (=> (_ @t165 (_ @t201 @t241)) @t144)) % 170.77/171.67 (define @t243 () (forall @t8 @t242)) % 170.77/171.67 (define @t244 () (not @t67)) % 170.77/171.67 (define @t245 () (or @t244 @t139)) % 170.77/171.67 (define @t246 () (and @t67 @t138)) % 170.77/171.67 (define @t247 () (forall @t69 (not @t246))) % 170.77/171.67 (define @t248 () (not @t247)) % 170.77/171.67 (define @t249 () (not @t72)) % 170.77/171.67 (define @t250 () (or @t249 @t78)) % 170.77/171.67 (define @t251 () (forall @t55 (or @t150 @t237))) % 170.77/171.67 (define @t252 () (lambda @t48 @t251)) % 170.77/171.67 (define @t253 () (_ @t252 @t13)) % 170.77/171.67 (define @t254 () (not @t253)) % 170.77/171.67 (define @t255 () (lambda @t48 @t254)) % 170.77/171.67 (define @t256 () (not @t51)) % 170.77/171.67 (define @t257 () (or @t150 @t256)) % 170.77/171.67 (define @t258 () (lambda @t48 @t20)) % 170.77/171.67 (define @t259 () (_ @t258 @t50)) % 170.77/171.67 (define @t260 () (or @t150 @t259)) % 170.77/171.67 (define @t261 () (forall @t55 @t260)) % 170.77/171.67 (define @t262 () (lambda @t48 @t261)) % 170.77/171.67 (define @t263 () (lambda @t202 @t231)) % 170.77/171.67 (define @t264 () (_ @t263 @t2)) % 170.77/171.67 (define @t265 () (not @t264)) % 170.77/171.67 (define @t266 () (or @t234 @t265)) % 170.77/171.67 (define @t267 () (not @t266)) % 170.77/171.67 (define @t268 () (lambda @t202 @t267)) % 170.77/171.67 (define @t269 () (@var "BOUND_VARIABLE_7582" (-> $$unsorted Bool))) % 170.77/171.67 (define @t270 () (not (_ @t269 @t2))) % 170.77/171.67 (define @t271 () (@list @t269 @t2)) % 170.77/171.67 (define @t272 () (@var "BOUND_VARIABLE_7602" (-> $$unsorted Bool))) % 170.77/171.67 (define @t273 () (_ @t272 @t2)) % 170.77/171.67 (define @t274 () (lambda (@list @t272 @t2) (or @t214 @t273))) % 170.77/171.67 (define @t275 () (lambda @t29 @t233)) % 170.77/171.67 (define @t276 () (@list @t23)) % 170.77/171.67 (define @t277 () (lambda @t202 @t233)) % 170.77/171.67 (define @t278 () (_ @t277 @t2)) % 170.77/171.67 (define @t279 () (not @t278)) % 170.77/171.67 (define @t280 () (or @t279 @t270)) % 170.77/171.67 (define @t281 () (not @t280)) % 170.77/171.67 (define @t282 () (lambda @t271 @t281)) % 170.77/171.67 (define @t283 () (not (or @t232 @t214))) % 170.77/171.67 (define @t284 () (lambda @t29 @t283)) % 170.77/171.67 (define @t285 () (lambda @t215 @t233)) % 170.77/171.67 (define @t286 () (or @t20 @t24)) % 170.77/171.67 (define @t287 () (lambda @t48 @t286)) % 170.77/171.67 (define @t288 () (@list @t23 @t13)) % 170.77/171.67 (define @t289 () (lambda @t288 @t286)) % 170.77/171.67 (define @t290 () (_ @t258 @t13)) % 170.77/171.67 (define @t291 () (or @t290 @t24)) % 170.77/171.67 (define @t292 () (lambda @t288 @t291)) % 170.77/171.67 (define @t293 () (not @t24)) % 170.77/171.67 (define @t294 () (or @t20 @t293)) % 170.77/171.67 (define @t295 () (lambda @t48 @t294)) % 170.77/171.67 (define @t296 () (_ @t295 @t13)) % 170.77/171.67 (define @t297 () (not @t296)) % 170.77/171.67 (define @t298 () (lambda @t48 @t297)) % 170.77/171.67 (define @t299 () (lambda @t48 @t293)) % 170.77/171.67 (define @t300 () (_ @t299 @t13)) % 170.77/171.67 (define @t301 () (or @t20 @t300)) % 170.77/171.67 (define @t302 () (lambda @t48 @t301)) % 170.77/171.67 (define @t303 () (@quantifiers_skolemize @t116 0)) % 170.77/171.67 (define @t304 () (not (_ @t101 (_ @t99 @t303 @t105) @t50))) % 170.77/171.67 (define @t305 () (forall @t107 (or (not (forall @t55 (or @t304 @t103))) (not (forall @t55 (or @t304 @t104)))))) % 170.77/171.67 (define @t306 () (@quantifiers_skolemize @t116 1)) % 170.77/171.67 (define @t307 () (_ @t99 @t303 @t306)) % 170.77/171.67 (define @t308 () (not (_ @t101 @t307 @t71))) % 170.77/171.67 (define @t309 () (forall @t69 (or (not (_ @t101 @t307 @t65)) (not (forall @t80 (or @t308 @t78)))))) % 170.77/171.67 (define @t310 () (not @t309)) % 170.77/171.67 (define @t311 () (not @t305)) % 170.77/171.67 (define @t312 () (_ @t99 @t303 @t111)) % 170.77/171.67 (define @t313 () (forall @t115 (or (not (_ @t101 @t312 @t113)) @t114 (not (_ @t101 @t312 @t108)) @t110))) % 170.77/171.67 (define @t314 () (not @t313)) % 170.77/171.67 (define @t315 () (or @t314 @t311 @t310)) % 170.77/171.67 (define @t316 () (@list true)) % 170.77/171.67 (define @t317 () (@list @t315)) % 170.77/171.67 (define @t318 () (_ @t101 @t307 @t50)) % 170.77/171.67 (define @t319 () (not @t318)) % 170.77/171.67 (define @t320 () (forall @t55 @t319)) % 170.77/171.67 (define @t321 () (not @t320)) % 170.77/171.67 (define @t322 () (or @t319 @t319)) % 170.77/171.67 (define @t323 () (forall @t55 @t322)) % 170.77/171.67 (define @t324 () (not @t323)) % 170.77/171.67 (define @t325 () (forall @t55 (or @t319 @t318))) % 170.77/171.67 (define @t326 () (not @t325)) % 170.77/171.67 (define @t327 () (or @t326 @t324)) % 170.77/171.67 (define @t328 () (@list false)) % 170.77/171.67 (define @t329 () (@quantifiers_skolemize @t320 0)) % 170.77/171.67 (define @t330 () (_ @t101 @t307 @t329)) % 170.77/171.67 (define @t331 () (not @t330)) % 170.77/171.67 (define @t332 () (not @t331)) % 170.77/171.67 (define @t333 () (_ @t101 (@const 2 (@ho-elim-sort (-> $$unsorted Bool))) @t50)) % 170.77/171.67 (define @t334 () (@const 3 $$unsorted)) % 170.77/171.67 (define @t335 () (not (_ @t101 (_ @t99 @t303 @t334) @t50))) % 170.77/171.67 (define @t336 () (@quantifiers_skolemize (forall @t55 (or @t335 (not @t333))) 0)) % 170.77/171.67 (define @t337 () (or @t308 (= @t336 @t71))) % 170.77/171.67 (define @t338 () (forall @t80 @t337)) % 170.77/171.67 (define @t339 () (not @t338)) % 170.77/171.67 (define @t340 () (_ @t101 @t307 @t336)) % 170.77/171.67 (define @t341 () (not @t340)) % 170.77/171.67 (define @t342 () (or @t341 @t339)) % 170.77/171.67 (define @t343 () (forall @t80 (or @t308 (= @t71 @t336)))) % 170.77/171.67 (define @t344 () (not @t343)) % 170.77/171.67 (define @t345 () (or @t341 @t344)) % 170.77/171.67 (define @t346 () (@list @t309)) % 170.77/171.67 (define @t347 () (@quantifiers_skolemize @t343 0)) % 170.77/171.67 (define @t348 () (or @t308 (= @t347 @t71))) % 170.77/171.67 (define @t349 () (forall @t80 @t348)) % 170.77/171.67 (define @t350 () (not @t349)) % 170.77/171.67 (define @t351 () (_ @t101 @t307 @t347)) % 170.77/171.67 (define @t352 () (not @t351)) % 170.77/171.67 (define @t353 () (or @t352 @t350)) % 170.77/171.67 (define @t354 () (@list @t347)) % 170.77/171.67 (define @t355 () (forall @t80 (or @t308 (= @t71 @t347)))) % 170.77/171.67 (define @t356 () (not @t355)) % 170.77/171.67 (define @t357 () (or @t352 @t356)) % 170.77/171.67 (define @t358 () (@var "ii" $$unsorted)) % 170.77/171.67 (define @t359 () (@var "u" (@ho-elim-sort (-> $$unsorted Bool)))) % 170.77/171.67 (define @t360 () (@var "e" Bool)) % 170.77/171.67 (define @t361 () (@var "i" $$unsorted)) % 170.77/171.67 (define @t362 () (@var "v" (@ho-elim-sort (-> $$unsorted Bool)))) % 170.77/171.67 (define @t363 () (_ @t101 @t362 @t358)) % 170.77/171.67 (define @t364 () (@list @t358)) % 170.77/171.67 (define @t365 () (@list @t362)) % 170.77/171.67 (define @t366 () (forall (@list @t359 @t360 @t361) (not (forall @t365 (not (forall @t364 (= @t363 (ite (= @t361 @t358) @t360 (_ @t101 @t359 @t358))))))))) % 170.77/171.67 (define @t367 () (_ @t101 @t307 @t358)) % 170.77/171.67 (define @t368 () (= @t334 @t358)) % 170.77/171.67 (define @t369 () (not @t368)) % 170.77/171.67 (define @t370 () (= @t363 (ite @t368 false @t367))) % 170.77/171.67 (define @t371 () (forall @t364 @t370)) % 170.77/171.67 (define @t372 () (not @t371)) % 170.77/171.67 (define @t373 () (forall @t365 @t372)) % 170.77/171.67 (define @t374 () (not @t373)) % 170.77/171.67 (define @t375 () (and (not (= @t358 @t334)) @t367)) % 170.77/171.67 (define @t376 () (forall @t365 (not (forall @t364 (= @t363 @t375))))) % 170.77/171.67 (define @t377 () (not @t376)) % 170.77/171.67 (define @t378 () (@list @t366)) % 170.77/171.67 (define @t379 () (@quantifiers_skolemize @t376 0)) % 170.77/171.67 (define @t380 () (_ @t101 @t379 @t358)) % 170.77/171.67 (define @t381 () (forall @t364 (= @t375 @t380))) % 170.77/171.67 (define @t382 () (forall @t364 (= @t380 @t375))) % 170.77/171.67 (define @t383 () (not (not @t382))) % 170.77/171.67 (define @t384 () (_ @t101 @t379 @t334)) % 170.77/171.67 (define @t385 () (_ @t101 @t307 @t334)) % 170.77/171.67 (define @t386 () (not (= @t334 @t334))) % 170.77/171.67 (define @t387 () (and @t386 @t385)) % 170.77/171.67 (define @t388 () (= @t387 @t384)) % 170.77/171.67 (define @t389 () (@list @t381)) % 170.77/171.67 (define @t390 () (@var "z" $$unsorted)) % 170.77/171.67 (define @t391 () (@list @t390)) % 170.77/171.67 (define @t392 () (forall @t391 (= (_ @t101 @t307 @t390) (_ @t101 @t379 @t390)))) % 170.77/171.67 (define @t393 () (@quantifiers_skolemize @t392 0)) % 170.77/171.67 (define @t394 () (_ @t101 @t379 @t393)) % 170.77/171.67 (define @t395 () (_ @t101 @t307 @t393)) % 170.77/171.67 (define @t396 () (= @t395 @t394)) % 170.77/171.67 (define @t397 () (not (= @t393 @t334))) % 170.77/171.67 (define @t398 () (and @t397 @t395)) % 170.77/171.67 (define @t399 () (= @t398 @t394)) % 170.77/171.67 (define @t400 () (= @t334 @t393)) % 170.77/171.67 (define @t401 () (not @t400)) % 170.77/171.67 (define @t402 () (and @t401 @t395)) % 170.77/171.67 (define @t403 () (= @t394 @t402)) % 170.77/171.67 (define @t404 () (not @t403)) % 170.77/171.67 (define @t405 () (not @t402)) % 170.77/171.67 (define @t406 () (not @t395)) % 170.77/171.67 (define @t407 () (not @t385)) % 170.77/171.67 (define @t408 () (= true false)) % 170.77/171.67 (define @t409 () (and @t407 @t400 @t395)) % 170.77/171.67 (define @t410 () (@quantifiers_skolemize (forall @t55 (or @t335 @t333)) 0)) % 170.77/171.67 (define @t411 () (forall @t80 (or @t308 (= @t71 @t410)))) % 170.77/171.67 (define @t412 () (@quantifiers_skolemize @t411 0)) % 170.77/171.67 (define @t413 () (forall @t80 (or @t308 (= @t71 @t412)))) % 170.77/171.67 (define @t414 () (@quantifiers_skolemize @t413 0)) % 170.77/171.67 (define @t415 () (ite (= @t414 @t358) @t385 @t367)) % 170.77/171.67 (define @t416 () (= @t363 @t415)) % 170.77/171.67 (define @t417 () (forall @t364 @t416)) % 170.77/171.67 (define @t418 () (not @t417)) % 170.77/171.67 (define @t419 () (forall @t365 @t418)) % 170.77/171.67 (define @t420 () (not @t419)) % 170.77/171.67 (define @t421 () (ite (= @t358 @t414) @t385 @t367)) % 170.77/171.67 (define @t422 () (forall @t365 (not (forall @t364 (= @t363 @t421))))) % 170.77/171.67 (define @t423 () (not @t422)) % 170.77/171.67 (define @t424 () (@quantifiers_skolemize @t422 0)) % 170.77/171.67 (define @t425 () (_ @t101 @t424 @t358)) % 170.77/171.67 (define @t426 () (forall @t364 (= @t421 @t425))) % 170.77/171.67 (define @t427 () (forall @t364 (= @t425 @t421))) % 170.77/171.67 (define @t428 () (not (not @t427))) % 170.77/171.67 (define @t429 () (_ @t101 @t424 @t414)) % 170.77/171.67 (define @t430 () (_ @t101 @t307 @t414)) % 170.77/171.67 (define @t431 () (ite (= @t414 @t414) @t385 @t430)) % 170.77/171.67 (define @t432 () (= @t431 @t429)) % 170.77/171.67 (define @t433 () (= @t385 @t429)) % 170.77/171.67 (define @t434 () (not @t396)) % 170.77/171.67 (define @t435 () (not @t392)) % 170.77/171.67 (define @t436 () (@var "y" (@ho-elim-sort (-> $$unsorted Bool)))) % 170.77/171.67 (define @t437 () (@var "x" (@ho-elim-sort (-> $$unsorted Bool)))) % 170.77/171.67 (define @t438 () (= @t307 @t379)) % 170.77/171.67 (define @t439 () (or @t435 @t438)) % 170.77/171.67 (define @t440 () (or @t308 (= @t412 @t71))) % 170.77/171.67 (define @t441 () (forall @t80 @t440)) % 170.77/171.67 (define @t442 () (not @t441)) % 170.77/171.67 (define @t443 () (_ @t101 @t307 @t412)) % 170.77/171.67 (define @t444 () (not @t443)) % 170.77/171.67 (define @t445 () (or @t444 @t442)) % 170.77/171.67 (define @t446 () (@list @t412)) % 170.77/171.67 (define @t447 () (not @t413)) % 170.77/171.67 (define @t448 () (or @t444 @t447)) % 170.77/171.67 (define @t449 () (= @t412 @t414)) % 170.77/171.67 (define @t450 () (not @t430)) % 170.77/171.67 (define @t451 () (or @t450 @t449)) % 170.77/171.67 (define @t452 () (not @t451)) % 170.77/171.67 (define @t453 () (or @t450 (= @t414 @t412))) % 170.77/171.67 (define @t454 () (not @t453)) % 170.77/171.67 (define @t455 () (_ @t101 @t424 @t412)) % 170.77/171.67 (define @t456 () (not @t455)) % 170.77/171.67 (define @t457 () (or @t444 @t456 @t450 @t429)) % 170.77/171.67 (define @t458 () (ite @t449 @t385 @t443)) % 170.77/171.67 (define @t459 () (= @t458 @t455)) % 170.77/171.67 (define @t460 () (or @t444 (= @t410 @t412))) % 170.77/171.67 (define @t461 () (not @t460)) % 170.77/171.67 (define @t462 () (not @t411)) % 170.77/171.67 (define @t463 () (or @t444 (= @t412 @t410))) % 170.77/171.67 (define @t464 () (not @t463)) % 170.77/171.67 (define @t465 () (or @t308 (= @t410 @t71))) % 170.77/171.67 (define @t466 () (forall @t80 @t465)) % 170.77/171.67 (define @t467 () (not @t466)) % 170.77/171.67 (define @t468 () (_ @t101 @t307 @t410)) % 170.77/171.67 (define @t469 () (not @t468)) % 170.77/171.67 (define @t470 () (or @t469 @t467)) % 170.77/171.67 (define @t471 () (or @t469 @t462)) % 170.77/171.67 (define @t472 () (or @t331 (= @t329 @t410))) % 170.77/171.67 (define @t473 () (@list @t329)) % 170.77/171.67 (define @t474 () (= @t410 @t329)) % 170.77/171.67 (define @t475 () (or @t331 @t474)) % 170.77/171.67 (define @t476 () (not @t474)) % 170.77/171.67 (define @t477 () (not @t438)) % 170.77/171.67 (define @t478 () (and @t469 @t438 @t474 @t330)) % 170.77/171.67 (define @t479 () (_ @t101 @t379 @t347)) % 170.77/171.67 (define @t480 () (not @t479)) % 170.77/171.67 (define @t481 () (or @t352 @t480 @t407 @t384)) % 170.77/171.67 (define @t482 () (@quantifiers_skolemize @t355 0)) % 170.77/171.67 (define @t483 () (= @t347 @t482)) % 170.77/171.67 (define @t484 () (_ @t101 @t307 @t482)) % 170.77/171.67 (define @t485 () (not @t484)) % 170.77/171.67 (define @t486 () (or @t485 @t483)) % 170.77/171.67 (define @t487 () (not @t486)) % 170.77/171.67 (define @t488 () (or @t485 (= @t482 @t347))) % 170.77/171.67 (define @t489 () (not @t488)) % 170.77/171.67 (define @t490 () (= @t334 @t347)) % 170.77/171.67 (define @t491 () (not @t490)) % 170.77/171.67 (define @t492 () (and @t491 @t351)) % 170.77/171.67 (define @t493 () (not (= @t347 @t334))) % 170.77/171.67 (define @t494 () (and @t493 @t351)) % 170.77/171.67 (define @t495 () (= @t494 @t479)) % 170.77/171.67 (define @t496 () (= @t479 @t492)) % 170.77/171.67 (define @t497 () (_ @t101 @t379 @t482)) % 170.77/171.67 (define @t498 () (not @t497)) % 170.77/171.67 (define @t499 () (or @t485 @t498 @t407 @t384)) % 170.77/171.67 (define @t500 () (= @t334 @t482)) % 170.77/171.67 (define @t501 () (not @t500)) % 170.77/171.67 (define @t502 () (and @t501 @t484)) % 170.77/171.67 (define @t503 () (not (= @t482 @t334))) % 170.77/171.67 (define @t504 () (and @t503 @t484)) % 170.77/171.67 (define @t505 () (= @t504 @t497)) % 170.77/171.67 (define @t506 () (= @t497 @t502)) % 170.77/171.67 (define @t507 () (not @t483)) % 170.77/171.67 (define @t508 () (and @t507 @t490)) % 170.77/171.67 (define @t509 () (or @t352 (= @t336 @t347))) % 170.77/171.67 (define @t510 () (not @t509)) % 170.77/171.67 (define @t511 () (or @t352 (= @t347 @t336))) % 170.77/171.67 (define @t512 () (not @t511)) % 170.77/171.67 (define @t513 () (@list false false)) % 170.77/171.67 (define @t514 () (or @t331 (= @t329 @t336))) % 170.77/171.67 (define @t515 () (= @t336 @t329)) % 170.77/171.67 (define @t516 () (or @t331 @t515)) % 170.77/171.67 (define @t517 () (not @t515)) % 170.77/171.67 (define @t518 () (and @t341 @t515 @t330)) % 170.77/171.67 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 170.77/171.67 (assume @p2 @t10) % 170.77/171.67 (assume @p3 true) % 170.77/171.67 (step @p4 (= tptp.meq_ind @t14) :rule refl :args (@t14)) % 170.77/171.67 (step @p5 (= tptp.meq_prop @t17) :rule refl :args (@t17)) % 170.77/171.67 (step @p6 (= tptp.mnot @t22) :rule refl :args (@t22)) % 170.77/171.67 (step @p7 (= tptp.mor @t25) :rule refl :args (@t25)) % 170.77/171.67 (step @p8 (= tptp.mand @t30) :rule refl :args (@t30)) % 170.77/171.67 (step @p9 (= tptp.mimplies @t31) :rule refl :args (@t31)) % 170.77/171.67 (step @p10 (= tptp.mimplied @t32) :rule refl :args (@t32)) % 170.77/171.67 (step @p11 (= tptp.mequiv @t33) :rule refl :args (@t33)) % 170.77/171.67 (step @p12 (= tptp.mxor @t34) :rule refl :args (@t34)) % 170.77/171.67 (step @p13 (= tptp.mforall_ind @t37) :rule refl :args (@t37)) % 170.77/171.67 (step @p14 (= tptp.mforall_prop @t45) :rule refl :args (@t45)) % 170.77/171.67 (step @p15 (= tptp.mexists_ind @t46) :rule refl :args (@t46)) % 170.77/171.67 (step @p16 (= tptp.mexists_prop @t47) :rule refl :args (@t47)) % 170.77/171.67 (step @p17 (= tptp.mtrue @t49) :rule refl :args (@t49)) % 170.77/171.67 (step @p18 (= tptp.mbox @t58) :rule refl :args (@t58)) % 170.77/171.67 (step @p19 (= tptp.mdia @t60) :rule refl :args (@t60)) % 170.77/171.67 (step @p20 (= tptp.mreflexive @t64) :rule refl :args (@t64)) % 170.77/171.67 (step @p21 (= tptp.msymmetric @t68) :rule refl :args (@t68)) % 170.77/171.67 (step @p22 (= tptp.mserial @t70) :rule refl :args (@t70)) % 170.77/171.67 (step @p23 (= tptp.mtransitive @t75) :rule refl :args (@t75)) % 170.77/171.67 (step @p24 (= tptp.meuclidean @t77) :rule refl :args (@t77)) % 170.77/171.67 (step @p25 (= tptp.mpartially_functional @t79) :rule refl :args (@t79)) % 170.77/171.67 (step @p26 (= tptp.mfunctional @t85) :rule refl :args (@t85)) % 170.77/171.67 (step @p27 (= tptp.mweakly_dense @t88) :rule refl :args (@t88)) % 170.77/171.67 (step @p28 (= tptp.mweakly_connected @t89) :rule refl :args (@t89)) % 170.77/171.67 (step @p29 (= tptp.mweakly_directed @t90) :rule refl :args (@t90)) % 170.77/171.67 (step @p30 (= tptp.mvalid @t93) :rule refl :args (@t93)) % 170.77/171.67 (step @p31 (= tptp.minvalid @t94) :rule refl :args (@t94)) % 170.77/171.67 (step @p32 (= tptp.msatisfiable @t95) :rule refl :args (@t95)) % 170.77/171.67 (step @p33 (= tptp.mcountersatisfiable @t96) :rule refl :args (@t96)) % 170.77/171.67 ; WARNING: add trust step for TRUST % 170.77/171.67 ; trust TRUST PREPROCESS_HO_ELIM % 170.77/171.67 (step @p34 :rule trust :premises () :args ((= (not @t132) (not @t116)))) % 170.77/171.67 (step @p35 :rule quant-merge-prenex :args ((= (forall @t8 @t134) @t132))) % 170.77/171.67 (step @p36 :rule alpha_equiv :args (@t135 (@list @t97) (@list @t61))) % 170.77/171.67 (step @p37 :rule refl :args (@t124)) % 170.77/171.67 (step @p38 :rule refl :args (@t130)) % 170.77/171.67 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t136)) % 170.77/171.67 (step @p40 :rule quant-miniscope-or :args ((= @t134 @t136))) % 170.77/171.67 (step @p41 :rule trans :premises (@p40 @p39)) % 170.77/171.67 (step @p42 :rule symm :premises (@p41)) % 170.77/171.67 (step @p43 :rule cong :premises (@p42) :args ((forall @t8 @t142))) % 170.77/171.67 (step @p44 :rule trans :premises (@p43 @p35)) % 170.77/171.67 (step @p45 :rule aci_norm :args ((= (or (or @t130 @t124) @t141) @t142))) % 170.77/171.67 (step @p46 :rule refl :args (@t141)) % 170.77/171.67 (step @p47 :rule bool-and-de-morgan :args (@t129 @t123 true)) % 170.77/171.67 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t143) @t141))) % 170.77/171.67 (step @p49 :rule trans :premises (@p48 @p45)) % 170.77/171.67 (step @p50 :rule bool-impl-elim :args (@t143 @t141)) % 170.77/171.67 (step @p51 :rule trans :premises (@p50 @p49)) % 170.77/171.67 (step @p52 :rule cong :premises (@p51) :args ((forall @t8 (=> @t143 @t141)))) % 170.77/171.67 (step @p53 :rule trans :premises (@p52 @p44)) % 170.77/171.67 (step @p54 :rule beta-reduce :args ((= @t144 @t141))) % 170.77/171.67 (step @p55 :rule quant-merge-prenex :args ((= @t146 @t123))) % 170.77/171.67 (step @p56 :rule quant-merge-prenex :args ((= @t148 @t129))) % 170.77/171.67 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((and @t148 @t146))) % 170.77/171.67 (step @p58 :rule alpha_equiv :args (@t152 @t153 (@list @t105))) % 170.77/171.67 (step @p59 :rule alpha_equiv :args (@t158 @t153 (@list @t111))) % 170.77/171.67 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t159)) % 170.77/171.67 (step @p61 :rule quant-miniscope-and :args ((= (forall @t48 @t160) @t159))) % 170.77/171.67 (step @p62 :rule trans :premises (@p61 @p60)) % 170.77/171.67 (step @p63 :rule trans :premises (@p62 @p57)) % 170.77/171.67 (step @p64 :rule beta-reduce :args ((= @t162 @t160))) % 170.77/171.67 (step @p65 :rule cong :premises (@p64) :args (@t163)) % 170.77/171.67 (step @p66 :rule trans :premises (@p65 @p63)) % 170.77/171.67 (step @p67 :rule beta-reduce :args ((= (_ @t165 @t161) @t163))) % 170.77/171.67 (step @p68 :rule trans :premises (@p67 @p66)) % 170.77/171.67 (step @p69 :rule refl :args (@t151)) % 170.77/171.67 (step @p70 :rule aci_norm :args ((= @t168 @t156))) % 170.77/171.67 (step @p71 :rule cong :premises (@p70) :args (@t169)) % 170.77/171.67 (step @p72 :rule quant-merge-prenex :args ((= (forall @t171 @t170) @t169))) % 170.77/171.67 (step @p73 :rule alpha_equiv :args (@t172 (@list @t108) @t173)) % 170.77/171.67 (step @p74 :rule alpha_equiv :args (@t174 (@list @t113) @t173)) % 170.77/171.67 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t175)) % 170.77/171.67 (step @p76 :rule quant-miniscope-or :args ((= @t170 @t175))) % 170.77/171.67 (step @p77 :rule trans :premises (@p76 @p75)) % 170.77/171.67 (step @p78 :rule symm :premises (@p77)) % 170.77/171.67 (step @p79 :rule cong :premises (@p78) :args (@t177)) % 170.77/171.67 (step @p80 :rule trans :premises (@p79 @p72)) % 170.77/171.67 (step @p81 :rule trans :premises (@p80 @p71)) % 170.77/171.67 (step @p82 :rule nary_cong :premises (@p81 @p69) :args ((and @t177 @t151))) % 170.77/171.67 (step @p83 :rule alpha_equiv :args (@t182 @t183 (@list @t118))) % 170.77/171.67 (step @p84 :rule alpha_equiv :args (@t185 @t183 (@list @t125))) % 170.77/171.67 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t186)) % 170.77/171.67 (step @p86 :rule quant-miniscope-and :args ((= (forall @t42 (and @t184 @t181)) @t186))) % 170.77/171.67 (step @p87 :rule trans :premises (@p86 @p85)) % 170.77/171.67 (step @p88 :rule trans :premises (@p87 @p82)) % 170.77/171.67 (step @p89 :rule bool-double-not-elim :args (@t181)) % 170.77/171.67 (step @p90 :rule bool-double-not-elim :args (@t184)) % 170.77/171.67 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((and (not @t188) (not @t187)))) % 170.77/171.67 (step @p92 :rule bool-or-de-morgan :args (@t188 @t187 false)) % 170.77/171.67 (step @p93 :rule trans :premises (@p92 @p91)) % 170.77/171.67 (step @p94 :rule cong :premises (@p93) :args ((forall @t42 @t189))) % 170.77/171.67 (step @p95 :rule trans :premises (@p94 @p88)) % 170.77/171.67 (step @p96 :rule beta-reduce :args ((= @t197 @t189))) % 170.77/171.67 (step @p97 :rule cong :premises (@p96) :args (@t198)) % 170.77/171.67 (step @p98 :rule trans :premises (@p97 @p95)) % 170.77/171.67 (step @p99 :rule cong :premises (@p98) :args (@t199)) % 170.77/171.67 (step @p100 :rule beta-reduce :args ((= (_ @t201 @t196) @t199))) % 170.77/171.67 (step @p101 :rule trans :premises (@p100 @p99)) % 170.77/171.67 (step @p102 :rule beta-reduce :args ((= (_ (lambda @t202 @t195) @t2) @t195))) % 170.77/171.67 (step @p103 :rule refl :args (@t2)) % 170.77/171.67 (step @p104 :rule refl :args (@t193)) % 170.77/171.67 (step @p105 :rule beta-reduce :args ((= @t204 @t194))) % 170.77/171.67 (step @p106 :rule cong :premises (@p105) :args (@t205)) % 170.77/171.67 (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t206)) % 170.77/171.67 (step @p108 :rule cong :premises (@p107) :args (@t207)) % 170.77/171.67 (step @p109 :rule refl :args (@t192)) % 170.77/171.67 (step @p110 :rule nary_cong :premises (@p109 @p105) :args (@t208)) % 170.77/171.67 (step @p111 :rule cong :premises (@p110) :args (@t209)) % 170.77/171.67 (step @p112 :rule nary_cong :premises (@p111 @p108) :args (@t210)) % 170.77/171.67 (step @p113 :rule cong :premises (@p112) :args (@t211)) % 170.77/171.67 (step @p114 :rule cong :premises (@p113) :args (@t212)) % 170.77/171.67 (step @p115 :rule beta-reduce :args ((= (_ (lambda @t215 (not (or (not (or @t192 @t213)) (not (or @t214 @t193))))) @t203) @t212))) % 170.77/171.67 (step @p116 :rule trans :premises (@p115 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170.77/171.67 (step @p610 :rule implies_elim :premises (@p609)) % 170.77/171.67 (step @p611 :rule eq_resolve :premises (@p610 @p598)) % 170.77/171.67 (step @p612 :rule chain_m_resolution :premises (@p611 @p595) :args (@t426 @t316 (@list @t422))) % 170.77/171.67 (step @p613 :rule refl :args (@t429)) % 170.77/171.67 (step @p614 :rule ite-true-cond :args (@t385 @t430)) % 170.77/171.67 (step @p615 :rule refl :args (@t430)) % 170.77/171.67 (step @p616 :rule eq-refl :args (@t414)) % 170.77/171.67 (step @p617 :rule cong :premises (@p616 @p500 @p615) :args (@t431)) % 170.77/171.67 (step @p618 :rule trans :premises (@p617 @p614)) % 170.77/171.67 (step @p619 :rule cong :premises (@p618 @p613) :args (@t432)) % 170.77/171.67 (step @p620 :rule cong :premises (@p596 @p619) :args ((=> @t426 @t432))) % 170.77/171.67 (assume-push @p988 @t426) % 170.77/171.67 (step @p622 :rule instantiate :premises (@p612) :args ((@list @t414))) % 170.77/171.67 (step-pop @p989 :rule scope :premises (@p622)) % 170.77/171.67 (step @p623 :rule process_scope :premises (@p989) :args (@t432)) % 170.77/171.67 (step @p625 :rule eq_resolve :premises (@p623 @p620)) % 170.77/171.67 (step @p626 :rule implies_elim :premises (@p625)) % 170.77/171.67 (step @p627 :rule chain_m_resolution :premises (@p626 @p612) :args (@t433 @t328 (@list @t426))) % 170.77/171.67 (step @p628 :rule cnf_equiv_pos2 :args (@t433)) % 170.77/171.67 (step @p629 :rule reordering :premises (@p628) :args ((or @t385 (not @t429) (not @t433)))) % 170.77/171.67 (step @p630 :rule refl :args (@t434)) % 170.77/171.67 (step @p631 :rule bool-double-not-elim :args (@t392)) % 170.77/171.67 (step @p632 :rule nary_cong :premises (@p631 @p630) :args ((or (not @t435) @t434))) % 170.77/171.67 (assume-push @p990 @t435) % 170.77/171.67 (step @p634 :rule skolemize :premises (@p990)) % 170.77/171.67 (step-pop @p991 :rule scope :premises (@p634)) % 170.77/171.67 (step @p635 :rule process_scope :premises (@p991) :args (@t434)) % 170.77/171.67 (step @p637 :rule implies_elim :premises (@p635)) % 170.77/171.67 (step @p638 :rule eq_resolve :premises (@p637 @p632)) % 170.77/171.67 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 170.77/171.67 (step @p639 :rule trust :premises () :args ((forall (@list @t437 @t436) (or (not (forall @t391 (= (_ @t101 @t437 @t390) (_ @t101 @t436 @t390)))) (= @t437 @t436))))) % 170.77/171.67 (step @p640 :rule instantiate :premises (@p639) :args ((@list @t307 @t379))) % 170.77/171.67 (step @p641 :rule cnf_or_pos :args (@t439)) % 170.77/171.67 (step @p642 :rule reordering :premises (@p641) :args ((or @t435 @t438 (not @t439)))) % 170.77/171.67 (step @p643 :rule eq-symm :args (@t412 @t71)) % 170.77/171.67 (step @p644 :rule nary_cong :premises (@p425 @p643) :args (@t440)) % 170.77/171.67 (step @p645 :rule cong :premises (@p644) :args (@t441)) % 170.77/171.67 (step @p646 :rule cong :premises (@p645) :args (@t442)) % 170.77/171.67 (step @p647 :rule refl :args (@t444)) % 170.77/171.67 (step @p648 :rule nary_cong :premises (@p647 @p646) :args (@t445)) % 170.77/171.67 (step @p649 :rule cong :premises (@p431 @p648) :args ((=> @t309 @t445))) % 170.77/171.67 (assume-push @p992 @t309) % 170.77/171.67 (step @p651 :rule instantiate :premises (@p423) :args (@t446)) % 170.77/171.67 (step-pop @p993 :rule scope :premises (@p651)) % 170.77/171.67 (step @p652 :rule process_scope :premises (@p993) :args (@t445)) % 170.77/171.67 (step @p654 :rule eq_resolve :premises (@p652 @p649)) % 170.77/171.67 (step @p655 :rule implies_elim :premises (@p654)) % 170.77/171.67 (step @p656 :rule chain_m_resolution :premises (@p655 @p423) :args (@t448 @t328 @t346)) % 170.77/171.67 (step @p657 :rule cnf_or_pos :args (@t448)) % 170.77/171.67 (step @p658 :rule reordering :premises (@p657) :args ((or @t444 @t447 (not @t448)))) % 170.77/171.67 (step @p659 :rule refl :args (@t452)) % 170.77/171.67 (step @p660 :rule bool-double-not-elim :args (@t413)) % 170.77/171.67 (step @p661 :rule nary_cong :premises (@p660 @p659) :args ((or (not @t447) 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170.77/171.67 (step @p689 :rule cnf_or_pos :args (@t457)) % 170.77/171.67 (step @p690 :rule reordering :premises (@p689) :args ((or @t444 @t450 @t456 @t429 (not @t457)))) % 170.77/171.67 (step @p691 :rule cnf_ite_neg2 :args (@t458)) % 170.77/171.67 (step @p692 :rule reordering :premises (@p691) :args ((or @t444 @t449 @t458))) % 170.77/171.67 (step @p693 :rule instantiate :premises (@p612) :args (@t446)) % 170.77/171.67 (step @p694 :rule cnf_equiv_pos1 :args (@t459)) % 170.77/171.67 (step @p695 :rule reordering :premises (@p694) :args ((or @t455 (not @t458) (not @t459)))) % 170.77/171.67 (step @p696 :rule chain_m_resolution :premises (@p695 @p693 @p692 @p690 @p688 @p681 @p680 @p674 @p658 @p656) :args ((or @t444 @t429) (@list false false true false true false true true false) (@list @t459 @t458 @t455 @t457 @t449 @t430 @t451 @t413 @t448))) % 170.77/171.67 (step @p697 :rule bool-double-not-elim :args (@t443)) % 170.77/171.67 (step @p698 :rule refl :args (@t460)) % 170.77/171.67 (step @p699 :rule nary_cong :premises (@p698 @p697) :args ((or @t460 (not @t444)))) % 170.77/171.67 (step @p700 :rule cnf_or_neg :args (@t460 0)) % 170.77/171.67 (step @p701 :rule eq_resolve :premises (@p700 @p699)) % 170.77/171.67 (step @p702 :rule reordering :premises (@p701) :args ((or @t443 @t460))) % 170.77/171.67 (step @p703 :rule refl :args (@t461)) % 170.77/171.67 (step @p704 :rule bool-double-not-elim :args (@t411)) % 170.77/171.67 (step @p705 :rule nary_cong :premises (@p704 @p703) :args ((or (not @t462) @t461))) % 170.77/171.67 (step @p706 :rule eq-symm :args (@t412 @t410)) % 170.77/171.67 (step @p707 :rule nary_cong :premises (@p647 @p706) :args (@t463)) % 170.77/171.67 (step @p708 :rule cong :premises (@p707) :args (@t464)) % 170.77/171.67 (step @p709 :rule refl :args (@t462)) % 170.77/171.67 (step @p710 :rule cong :premises (@p709 @p708) :args ((=> @t462 @t464))) % 170.77/171.67 (assume-push @p996 @t462) % 170.77/171.67 (step @p712 :rule skolemize :premises (@p996)) % 170.77/171.67 (step-pop @p997 :rule scope :premises (@p712)) % 170.77/171.67 (step @p713 :rule process_scope :premises (@p997) :args (@t464)) % 170.77/171.67 (step @p715 :rule eq_resolve :premises (@p713 @p710)) % 170.77/171.67 (step @p716 :rule implies_elim :premises (@p715)) % 170.77/171.67 (step @p717 :rule eq_resolve :premises (@p716 @p705)) % 170.77/171.67 (step @p718 :rule eq-symm :args (@t410 @t71)) % 170.77/171.67 (step @p719 :rule nary_cong :premises (@p425 @p718) :args (@t465)) % 170.77/171.67 (step @p720 :rule cong :premises (@p719) :args (@t466)) % 170.77/171.67 (step @p721 :rule cong :premises (@p720) :args (@t467)) % 170.77/171.67 (step @p722 :rule refl :args (@t469)) % 170.77/171.67 (step @p723 :rule nary_cong :premises (@p722 @p721) :args (@t470)) % 170.77/171.67 (step @p724 :rule cong :premises (@p431 @p723) :args ((=> @t309 @t470))) % 170.77/171.67 (assume-push @p998 @t309) % 170.77/171.67 (step @p726 :rule instantiate :premises (@p423) :args ((@list @t410))) % 170.77/171.67 (step-pop @p999 :rule scope :premises (@p726)) % 170.77/171.67 (step @p727 :rule process_scope :premises (@p999) :args (@t470)) % 170.77/171.67 (step @p729 :rule eq_resolve :premises (@p727 @p724)) % 170.77/171.67 (step @p730 :rule implies_elim :premises (@p729)) % 170.77/171.67 (step @p731 :rule chain_m_resolution :premises (@p730 @p423) :args (@t471 @t328 @t346)) % 170.77/171.67 (step @p732 :rule cnf_or_pos :args (@t471)) % 170.77/171.67 (step @p733 :rule reordering :premises (@p732) :args ((or @t469 @t462 (not @t471)))) % 170.77/171.67 (step @p734 :rule eq-symm :args (@t329 @t410)) % 170.77/171.67 (step @p735 :rule refl :args (@t331)) % 170.77/171.67 (step @p736 :rule nary_cong :premises (@p735 @p734) :args (@t472)) % 170.77/171.67 (step @p737 :rule refl :args (@t411)) % 170.77/171.67 (step @p738 :rule cong :premises (@p737 @p736) :args ((=> @t411 @t472))) % 170.77/171.67 (assume-push @p1000 @t411) % 170.77/171.67 (step @p740 :rule instantiate :premises (@p1000) :args (@t473)) % 170.77/171.67 (step-pop @p1001 :rule scope :premises (@p740)) % 170.77/171.67 (step @p741 :rule process_scope :premises (@p1001) :args (@t472)) % 170.77/171.67 (step @p743 :rule eq_resolve :premises (@p741 @p738)) % 170.77/171.67 (step @p744 :rule implies_elim :premises (@p743)) % 170.77/171.67 (step @p745 :rule cnf_or_pos :args (@t475)) % 170.77/171.67 (step @p746 :rule reordering :premises (@p745) :args ((or @t331 @t474 (not @t475)))) % 170.77/171.67 (step @p747 :rule refl :args (@t476)) % 170.77/171.67 (step @p748 :rule refl :args (@t477)) % 170.77/171.67 (step @p749 :rule bool-double-not-elim :args (@t468)) % 170.77/171.67 (step @p750 :rule nary_cong :premises (@p749 @p748 @p735 @p747) :args ((or (not @t469) @t477 @t331 @t476))) % 170.77/171.67 (assume-push @p1002 @t469) % 170.77/171.67 (assume-push @p1003 @t438) % 170.77/171.67 (assume-push @p1004 @t474) % 170.77/171.67 (assume-push @p1005 @t330) % 170.77/171.67 (step @p548 :rule evaluate :args (@t408)) % 170.77/171.67 (step @p755 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170.77/171.67 (assume-push @p1010 @t469) % 170.77/171.67 (assume-push @p1011 @t438) % 170.77/171.67 (assume-push @p1012 @t330) % 170.77/171.67 (assume-push @p1013 @t474) % 170.77/171.67 (step @p774 :rule and_intro :premises (@p1010 @p1011 @p1013 @p417)) % 170.77/171.67 (step-pop @p1014 :rule scope :premises (@p774)) % 170.77/171.67 (step-pop @p1015 :rule scope :premises (@p1014)) % 170.77/171.67 (step-pop @p1016 :rule scope :premises (@p1015)) % 170.77/171.67 (step-pop @p1017 :rule scope :premises (@p1016)) % 170.77/171.67 (step @p775 :rule process_scope :premises (@p1017) :args (@t478)) % 170.77/171.67 (step @p780 :rule implies_elim :premises (@p775)) % 170.77/171.67 (step @p781 :rule resolution :premises (@p780 @p765) :args (true @t478)) % 170.77/171.67 (step @p782 :rule not_and :premises (@p781)) % 170.77/171.67 (step @p783 :rule eq_resolve :premises (@p782 @p750)) % 170.77/171.67 (step @p784 :rule chain_m_resolution :premises (@p783 @p417 @p746 @p417 @p744 @p733 @p731 @p717 @p702 @p696 @p642 @p640 @p638 @p629 @p627 @p580) :args (@t385 (@list false false false false true false false false true false false false true false false) (@list @t330 @t474 @t330 @t475 @t468 @t471 @t411 @t460 @t443 @t438 @t439 @t392 @t429 @t433 @t396))) % 170.77/171.67 (step @p785 :rule instantiate :premises (@p687) :args ((@list @t306 @t379 @t347 @t334))) % 170.77/171.67 (step @p786 :rule cnf_or_pos :args (@t481)) % 170.77/171.67 (step @p787 :rule reordering :premises (@p786) :args ((or @t407 @t384 @t352 @t480 (not @t481)))) % 170.77/171.67 (step @p788 :rule refl :args (@t487)) % 170.77/171.67 (step @p789 :rule bool-double-not-elim :args (@t355)) % 170.77/171.67 (step @p790 :rule nary_cong :premises (@p789 @p788) :args ((or (not @t356) @t487))) % 170.77/171.67 (step @p791 :rule eq-symm :args (@t482 @t347)) % 170.77/171.67 (step @p792 :rule refl :args (@t485)) % 170.77/171.67 (step @p793 :rule nary_cong :premises (@p792 @p791) :args (@t488)) % 170.77/171.67 (step @p794 :rule cong :premises (@p793) :args (@t489)) % 170.77/171.67 (step @p795 :rule refl :args (@t356)) % 170.77/171.67 (step @p796 :rule cong :premises (@p795 @p794) :args ((=> @t356 @t489))) % 170.77/171.67 (assume-push @p1018 @t356) % 170.77/171.67 (step @p798 :rule skolemize :premises (@p1018)) % 170.77/171.67 (step-pop @p1019 :rule scope :premises (@p798)) % 170.77/171.67 (step @p799 :rule process_scope :premises (@p1019) :args (@t489)) % 170.77/171.67 (step @p801 :rule eq_resolve :premises (@p799 @p796)) % 170.77/171.67 (step @p802 :rule implies_elim :premises (@p801)) % 170.77/171.67 (step @p803 :rule eq_resolve :premises (@p802 @p790)) % 170.77/171.67 (step @p804 :rule eq-symm :args (@t492 @t479)) % 170.77/171.67 (step @p805 :rule refl :args (@t479)) % 170.77/171.67 (step @p806 :rule refl :args (@t351)) % 170.77/171.67 (step @p807 :rule eq-symm :args (@t347 @t334)) % 170.77/171.67 (step @p808 :rule cong :premises (@p807) :args (@t493)) % 170.77/171.67 (step @p809 :rule nary_cong :premises (@p808 @p806) :args (@t494)) % 170.77/171.67 (step @p810 :rule cong :premises (@p809 @p805) :args (@t495)) % 170.77/171.67 (step @p811 :rule trans :premises (@p810 @p804)) % 170.77/171.67 (step @p812 :rule cong :premises (@p478 @p811) :args ((=> @t381 @t495))) % 170.77/171.67 (assume-push @p1020 @t381) % 170.77/171.67 (step @p814 :rule instantiate :premises (@p494) :args (@t354)) % 170.77/171.67 (step-pop @p1021 :rule scope :premises (@p814)) % 170.77/171.67 (step @p815 :rule process_scope :premises (@p1021) :args (@t495)) % 170.77/171.67 (step @p817 :rule eq_resolve :premises (@p815 @p812)) % 170.77/171.67 (step @p818 :rule implies_elim :premises (@p817)) % 170.77/171.67 (step @p819 :rule chain_m_resolution :premises (@p818 @p494) :args (@t496 @t328 @t389)) % 170.77/171.67 (step @p820 :rule cnf_equiv_pos2 :args (@t496)) % 170.77/171.67 (step @p821 :rule reordering :premises (@p820) :args ((or @t479 (not @t492) (not @t496)))) % 170.77/171.67 (step @p822 :rule bool-double-not-elim :args (@t484)) % 170.77/171.67 (step @p823 :rule refl :args (@t486)) % 170.77/171.67 (step @p824 :rule nary_cong :premises (@p823 @p822) :args ((or @t486 (not @t485)))) % 170.77/171.67 (step @p825 :rule cnf_or_neg :args (@t486 0)) % 170.77/171.67 (step @p826 :rule eq_resolve :premises (@p825 @p824)) % 170.77/171.67 (step @p827 :rule reordering :premises (@p826) :args ((or @t484 @t486))) % 170.77/171.67 (step @p828 :rule cnf_or_neg :args (@t486 1)) % 170.77/171.67 (step @p829 :rule bool-double-not-elim :args (@t490)) % 170.77/171.67 (step @p830 :rule refl :args (@t492)) % 170.77/171.67 (step @p831 :rule nary_cong :premises (@p830 @p829 @p444) :args ((or @t492 (not @t491) @t352))) % 170.77/171.67 (step @p832 :rule cnf_and_neg :args (@t492)) % 170.77/171.67 (step @p833 :rule eq_resolve :premises (@p832 @p831)) % 170.77/171.67 (step @p834 :rule reordering :premises (@p833) :args ((or @t352 @t490 @t492))) % 170.77/171.67 (step @p835 :rule instantiate :premises (@p687) :args ((@list @t306 @t379 @t482 @t334))) % 170.77/171.67 (step @p836 :rule cnf_or_pos :args (@t499)) % 170.77/171.67 (step @p837 :rule reordering :premises (@p836) :args ((or @t407 @t384 @t485 @t498 (not @t499)))) % 170.77/171.67 (step @p838 :rule eq-symm :args (@t502 @t497)) % 170.77/171.67 (step @p839 :rule refl :args (@t497)) % 170.77/171.67 (step @p840 :rule refl :args (@t484)) % 170.77/171.67 (step @p841 :rule eq-symm :args (@t482 @t334)) % 170.77/171.67 (step @p842 :rule cong :premises (@p841) :args (@t503)) % 170.77/171.67 (step @p843 :rule nary_cong :premises (@p842 @p840) :args (@t504)) % 170.77/171.67 (step @p844 :rule cong :premises (@p843 @p839) :args (@t505)) % 170.77/171.67 (step @p845 :rule trans :premises (@p844 @p838)) % 170.77/171.67 (step @p846 :rule cong :premises (@p478 @p845) :args ((=> @t381 @t505))) % 170.77/171.67 (assume-push @p1022 @t381) % 170.77/171.67 (step @p848 :rule instantiate :premises (@p494) :args ((@list @t482))) % 170.77/171.67 (step-pop @p1023 :rule scope :premises (@p848)) % 170.77/171.67 (step @p849 :rule process_scope :premises (@p1023) :args (@t505)) % 170.77/171.67 (step @p851 :rule eq_resolve :premises (@p849 @p846)) % 170.77/171.67 (step @p852 :rule implies_elim :premises (@p851)) % 170.77/171.67 (step @p853 :rule chain_m_resolution :premises (@p852 @p494) :args (@t506 @t328 @t389)) % 170.77/171.67 (step @p854 :rule cnf_equiv_pos2 :args (@t506)) % 170.77/171.67 (step @p855 :rule reordering :premises (@p854) :args ((or @t497 (not @t502) (not @t506)))) % 170.77/171.67 (step @p856 :rule bool-double-not-elim :args (@t500)) % 170.77/171.67 (step @p857 :rule refl :args (@t502)) % 170.77/171.67 (step @p858 :rule nary_cong :premises (@p857 @p856 @p792) :args ((or @t502 (not @t501) @t485))) % 170.77/171.67 (step @p859 :rule cnf_and_neg :args (@t502)) % 170.77/171.67 (step @p860 :rule eq_resolve :premises (@p859 @p858)) % 170.77/171.67 (step @p861 :rule reordering :premises (@p860) :args ((or @t485 @t500 @t502))) % 170.77/171.67 (step @p862 :rule refl :args (@t501)) % 170.77/171.67 (step @p863 :rule refl :args (@t491)) % 170.77/171.67 (step @p864 :rule bool-double-not-elim :args (@t483)) % 170.77/171.67 (step @p865 :rule nary_cong :premises (@p864 @p863 @p862) :args ((or (not @t507) @t491 @t501))) % 170.77/171.67 (assume-push @p1024 @t507) % 170.77/171.67 (assume-push @p1025 @t490) % 170.77/171.67 (assume-push @p1026 @t507) % 170.77/171.67 (assume-push @p1027 @t490) % 170.77/171.67 (step @p870 :rule false_intro :premises (@p1024)) % 170.77/171.67 (step @p871 :rule refl :args (@t482)) % 170.77/171.67 (step @p872 :rule cong :premises (@p1025 @p871) :args (@t500)) % 170.77/171.67 (step @p873 :rule trans :premises (@p872 @p870)) % 170.77/171.67 (step @p874 :rule false_elim :premises (@p873)) % 170.77/171.67 (step-pop @p1028 :rule scope :premises (@p874)) % 170.77/171.67 (step-pop @p1029 :rule scope :premises (@p1028)) % 170.77/171.67 (step @p875 :rule process_scope :premises (@p1029) :args (@t501)) % 170.77/171.67 (step @p878 :rule and_intro :premises (@p1024 @p1025)) % 170.77/171.67 (step @p879 :rule modus_ponens :premises (@p878 @p875)) % 170.77/171.67 (step-pop @p1030 :rule scope :premises (@p879)) % 170.77/171.67 (step-pop @p1031 :rule scope :premises (@p1030)) % 170.77/171.67 (step @p880 :rule process_scope :premises (@p1031) :args (@t501)) % 170.77/171.67 (step @p883 :rule implies_elim :premises (@p880)) % 170.77/171.67 (step @p884 :rule cnf_and_neg :args (@t508)) % 170.77/171.67 (step @p885 :rule resolution :premises (@p884 @p883) :args (true @t508)) % 170.77/171.67 (step @p886 :rule eq_resolve :premises (@p885 @p865)) % 170.77/171.67 (step @p887 :rule chain_m_resolution :premises (@p886 @p861 @p855 @p853 @p837 @p835 @p784 @p515 @p834 @p828 @p827 @p821 @p819 @p803 @p787 @p785 @p784 @p515 @p455 @p453) :args (@t352 (@list false true false true false false true false true false true false true true false false true true false) (@list @t500 @t502 @t506 @t497 @t499 @t385 @t384 @t490 @t483 @t484 @t492 @t496 @t486 @t479 @t481 @t385 @t384 @t355 @t357))) % 170.77/171.67 (step @p888 :rule bool-double-not-elim :args (@t351)) % 170.77/171.67 (step @p889 :rule refl :args (@t509)) % 170.77/171.67 (step @p890 :rule nary_cong :premises (@p889 @p888) :args ((or @t509 (not @t352)))) % 170.77/171.67 (step @p891 :rule cnf_or_neg :args (@t509 0)) % 170.77/171.67 (step @p892 :rule eq_resolve :premises (@p891 @p890)) % 170.77/171.67 (step @p893 :rule reordering :premises (@p892) :args ((or @t351 @t509))) % 170.77/171.67 (step @p894 :rule chain_m_resolution :premises (@p893 @p887) :args (@t509 @t316 (@list @t351))) % 170.77/171.67 (step @p895 :rule refl :args (@t510)) % 170.77/171.67 (step @p896 :rule bool-double-not-elim :args (@t343)) % 170.77/171.67 (step @p897 :rule nary_cong :premises (@p896 @p895) :args ((or (not @t344) @t510))) % 170.77/171.67 (step @p898 :rule eq-symm :args (@t347 @t336)) % 170.77/171.67 (step @p899 :rule nary_cong :premises (@p444 @p898) :args (@t511)) % 170.77/171.67 (step @p900 :rule cong :premises (@p899) :args (@t512)) % 170.77/171.67 (step @p901 :rule refl :args (@t344)) % 170.77/171.67 (step @p902 :rule cong :premises (@p901 @p900) :args ((=> @t344 @t512))) % 170.77/171.67 (assume-push @p1032 @t344) % 170.77/171.67 (step @p904 :rule skolemize :premises (@p1032)) % 170.77/171.67 (step-pop @p1033 :rule scope :premises (@p904)) % 170.77/171.67 (step @p905 :rule process_scope :premises (@p1033) :args (@t512)) % 170.77/171.67 (step @p907 :rule eq_resolve :premises (@p905 @p902)) % 170.77/171.67 (step @p908 :rule implies_elim :premises (@p907)) % 170.77/171.67 (step @p909 :rule eq_resolve :premises (@p908 @p897)) % 170.77/171.67 (step @p910 :rule chain_m_resolution :premises (@p909 @p894) :args (@t343 @t328 (@list @t509))) % 170.77/171.67 (step @p911 :rule cnf_or_pos :args (@t345)) % 170.77/171.67 (step @p912 :rule reordering :premises (@p911) :args ((or @t341 @t344 (not @t345)))) % 170.77/171.67 (step @p913 :rule chain_m_resolution :premises (@p912 @p910 @p439) :args (@t341 @t513 (@list @t343 @t345))) % 170.77/171.67 (step @p914 :rule eq-symm :args (@t329 @t336)) % 170.77/171.67 (step @p915 :rule nary_cong :premises (@p735 @p914) :args (@t514)) % 170.77/171.67 (step @p916 :rule refl :args (@t343)) % 170.77/171.67 (step @p917 :rule cong :premises (@p916 @p915) :args ((=> @t343 @t514))) % 170.77/171.67 (assume-push @p1034 @t343) % 170.77/171.67 (step @p919 :rule instantiate :premises (@p1034) :args (@t473)) % 170.77/171.67 (step-pop @p1035 :rule scope :premises (@p919)) % 170.77/171.67 (step @p920 :rule process_scope :premises (@p1035) :args (@t514)) % 170.77/171.67 (step @p922 :rule eq_resolve :premises (@p920 @p917)) % 170.77/171.67 (step @p923 :rule implies_elim :premises (@p922)) % 170.77/171.67 (step @p924 :rule chain_m_resolution :premises (@p923 @p910) :args (@t516 @t328 (@list @t343))) % 170.77/171.67 (step @p925 :rule cnf_or_pos :args (@t516)) % 170.77/171.67 (step @p926 :rule reordering :premises (@p925) :args ((or @t331 @t515 (not @t516)))) % 170.77/171.67 (step @p927 :rule chain_m_resolution :premises (@p926 @p417 @p924) :args (@t515 @t513 (@list @t330 @t516))) % 170.77/171.67 (step @p928 :rule refl :args (@t517)) % 170.77/171.67 (step @p929 :rule bool-double-not-elim :args (@t340)) % 170.77/171.67 (step @p930 :rule nary_cong :premises (@p929 @p735 @p928) :args ((or (not @t341) @t331 @t517))) % 170.77/171.67 (assume-push @p1036 @t341) % 170.77/171.67 (assume-push @p1037 @t515) % 170.77/171.67 (assume-push @p1038 @t330) % 170.77/171.67 (step @p548 :rule evaluate :args (@t408)) % 170.77/171.67 (step @p934 :rule false_intro :premises (@p1036)) % 170.77/171.67 (step @p935 :rule symm :premises (@p1037)) % 170.77/171.67 (step @p551 :rule refl :args (@t307)) % 170.77/171.67 (step @p936 :rule cong :premises (@p551 @p935) :args (@t330)) % 170.77/171.67 (step @p761 :rule true_intro :premises (@p417)) % 170.77/171.67 (step @p762 :rule symm :premises (@p761)) % 170.77/171.67 (step @p937 :rule trans :premises (@p762 @p936 @p934)) % 170.77/171.67 (step @p938 false :rule eq_resolve :premises (@p937 @p548)) % 170.77/171.67 (step-pop @p1039 :rule scope :premises (@p938)) % 170.77/171.67 (step-pop @p1040 :rule scope :premises (@p1039)) % 170.77/171.67 (step-pop @p1041 :rule scope :premises (@p1040)) % 170.77/171.67 (step @p939 :rule process_scope :premises (@p1041) :args (false)) % 170.77/171.67 (assume-push @p1042 @t341) % 170.77/171.67 (assume-push @p1043 @t330) % 170.77/171.67 (assume-push @p1044 @t515) % 170.77/171.67 (step @p946 :rule and_intro :premises (@p1042 @p1044 @p417)) % 170.77/171.67 (step-pop @p1045 :rule scope :premises (@p946)) % 170.77/171.67 (step-pop @p1046 :rule scope :premises (@p1045)) % 170.77/171.67 (step-pop @p1047 :rule scope :premises (@p1046)) % 170.77/171.67 (step @p947 :rule process_scope :premises (@p1047) :args (@t518)) % 170.77/171.67 (step @p951 :rule implies_elim :premises (@p947)) % 170.77/171.67 (step @p952 :rule resolution :premises (@p951 @p939) :args (true @t518)) % 170.77/171.67 (step @p953 :rule not_and :premises (@p952)) % 170.77/171.67 (step @p954 :rule eq_resolve :premises (@p953 @p930)) % 170.77/171.67 (step @p955 false :rule chain_m_resolution :premises (@p954 @p927 @p913 @p417) :args (false (@list false true false) (@list @t515 @t340 @t330))) % 170.77/171.68 ) % 170.77/171.68 % SZS output end Proof % 170.77/171.68 % cvc5 exiting %------------------------------------------------------------------------------