%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO049^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:11:52 AM UTC 2026 % Result : Theorem 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO049^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:53:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.44/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.66 % SZS status Theorem % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-sort tptp.mu 0) % 0.44/0.66 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.66 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.44/0.66 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.66 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.66 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.66 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.66 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.44/0.66 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.66 (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))))))) % 0.44/0.66 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.66 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.66 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.66 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.66 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.44/0.66 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.66 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.66 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.66 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.66 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.44/0.66 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.44/0.66 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.44/0.66 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.44/0.66 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.44/0.66 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.44/0.66 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.44/0.66 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.66 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.66 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.66 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.66 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "B" (-> $$unsorted Bool))) % 0.44/0.66 (define @t3 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.66 (define @t4 () (_ tptp.mdia @t3)) % 0.44/0.66 (define @t5 () (@var "A" (-> $$unsorted Bool))) % 0.44/0.66 (define @t6 () (@list @t2 @t1)) % 0.44/0.66 (define @t7 () (lambda @t6 (_ (_ (_ tptp.mequiv (_ @t4 (_ (_ tptp.mor @t5) @t2))) (_ (_ tptp.mor (_ @t4 @t5)) (_ @t4 @t2))) @t1))) % 0.44/0.66 (define @t8 () (@list @t5 @t1)) % 0.44/0.66 (define @t9 () (lambda @t8 (_ (_ tptp.mforall_prop @t7) @t1))) % 0.44/0.66 (define @t10 () (@list @t3)) % 0.44/0.66 (define @t11 () (forall @t10 (_ tptp.mvalid (_ tptp.mforall_prop @t9)))) % 0.44/0.66 (define @t12 () (not @t11)) % 0.44/0.66 (define @t13 () (@var "Y" tptp.mu)) % 0.44/0.66 (define @t14 () (@var "X" tptp.mu)) % 0.44/0.66 (define @t15 () (@var "W" $$unsorted)) % 0.44/0.66 (define @t16 () (lambda (@list @t14 @t13 @t15) (= @t14 @t13))) % 0.44/0.66 (define @t17 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.66 (define @t18 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.66 (define @t19 () (lambda (@list @t18 @t17 @t15) (= (_ @t18 @t15) (_ @t17 @t15)))) % 0.44/0.66 (define @t20 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.66 (define @t21 () (_ @t20 @t15)) % 0.44/0.66 (define @t22 () (not @t21)) % 0.44/0.66 (define @t23 () (@list @t20 @t15)) % 0.44/0.66 (define @t24 () (lambda @t23 @t22)) % 0.44/0.66 (define @t25 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.66 (define @t26 () (_ @t25 @t15)) % 0.44/0.66 (define @t27 () (lambda (@list @t20 @t25 @t15) (or @t21 @t26))) % 0.44/0.66 (define @t28 () (_ tptp.mnot @t25)) % 0.44/0.66 (define @t29 () (_ tptp.mnot @t20)) % 0.44/0.66 (define @t30 () (_ tptp.mor @t29)) % 0.44/0.66 (define @t31 () (@list @t20 @t25 @t1)) % 0.44/0.66 (define @t32 () (lambda @t31 (_ (_ tptp.mnot (_ @t30 @t28)) @t1))) % 0.44/0.66 (define @t33 () (lambda @t31 (_ (_ @t30 @t25) @t1))) % 0.44/0.66 (define @t34 () (lambda @t31 (_ (_ (_ tptp.mor @t28) @t20) @t1))) % 0.44/0.66 (define @t35 () (lambda @t31 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t20) @t25)) (_ (_ tptp.mimplies @t25) @t20)) @t1))) % 0.44/0.66 (define @t36 () (lambda @t31 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t20) @t25)) @t1))) % 0.44/0.66 (define @t37 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.66 (define @t38 () (_ @t37 @t14)) % 0.44/0.66 (define @t39 () (lambda (@list @t37 @t15) (forall (@list @t14) (_ @t38 @t15)))) % 0.44/0.66 (define @t40 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.66 (define @t41 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.66 (define @t42 () (_ @t41 @t40)) % 0.44/0.66 (define @t43 () (_ @t42 @t15)) % 0.44/0.66 (define @t44 () (@list @t40)) % 0.44/0.66 (define @t45 () (forall @t44 @t43)) % 0.44/0.66 (define @t46 () (@list @t41 @t15)) % 0.44/0.66 (define @t47 () (lambda @t46 @t45)) % 0.44/0.66 (define @t48 () (lambda (@list @t37 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t14 @t1) (_ (_ tptp.mnot @t38) @t1)))) @t1))) % 0.44/0.66 (define @t49 () (lambda (@list @t41 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t40 @t1) (_ (_ tptp.mnot @t42) @t1)))) @t1))) % 0.44/0.66 (define @t50 () (@list @t15)) % 0.44/0.66 (define @t51 () (lambda @t50 true)) % 0.44/0.66 (define @t52 () (@var "V" $$unsorted)) % 0.44/0.66 (define @t53 () (_ @t20 @t52)) % 0.44/0.66 (define @t54 () (_ (_ @t3 @t15) @t52)) % 0.44/0.66 (define @t55 () (not @t54)) % 0.44/0.66 (define @t56 () (or @t55 @t53)) % 0.44/0.66 (define @t57 () (@list @t52)) % 0.44/0.66 (define @t58 () (forall @t57 @t56)) % 0.44/0.66 (define @t59 () (@list @t3 @t20 @t15)) % 0.44/0.66 (define @t60 () (lambda @t59 @t58)) % 0.44/0.66 (define @t61 () (@list @t3 @t20 @t1)) % 0.44/0.66 (define @t62 () (lambda @t61 (_ (_ tptp.mnot (_ (_ tptp.mbox @t3) @t29)) @t1))) % 0.44/0.66 (define @t63 () (@var "S" $$unsorted)) % 0.44/0.66 (define @t64 () (_ @t3 @t63)) % 0.44/0.66 (define @t65 () (@list @t63)) % 0.44/0.66 (define @t66 () (lambda @t10 (forall @t65 (_ @t64 @t63)))) % 0.44/0.66 (define @t67 () (@var "T" $$unsorted)) % 0.44/0.66 (define @t68 () (_ @t3 @t67)) % 0.44/0.66 (define @t69 () (_ @t64 @t67)) % 0.44/0.66 (define @t70 () (lambda @t10 (forall (@list @t63 @t67) (=> @t69 (_ @t68 @t63))))) % 0.44/0.66 (define @t71 () (@list @t67)) % 0.44/0.66 (define @t72 () (lambda @t10 (forall @t65 (exists @t71 @t69)))) % 0.44/0.66 (define @t73 () (@var "U" $$unsorted)) % 0.44/0.66 (define @t74 () (_ @t64 @t73)) % 0.44/0.66 (define @t75 () (_ @t68 @t73)) % 0.44/0.66 (define @t76 () (@list @t63 @t67 @t73)) % 0.44/0.66 (define @t77 () (lambda @t10 (forall @t76 (=> (and @t69 @t75) @t74)))) % 0.44/0.66 (define @t78 () (and @t69 @t74)) % 0.44/0.66 (define @t79 () (lambda @t10 (forall @t76 (=> @t78 @t75)))) % 0.44/0.66 (define @t80 () (= @t67 @t73)) % 0.44/0.66 (define @t81 () (lambda @t10 (forall @t76 (=> @t78 @t80)))) % 0.44/0.66 (define @t82 () (@list @t73)) % 0.44/0.66 (define @t83 () (lambda @t10 (forall @t65 (exists @t71 (and @t69 (forall @t82 (=> @t74 @t80))))))) % 0.44/0.66 (define @t84 () (_ @t3 @t73)) % 0.44/0.66 (define @t85 () (_ @t84 @t67)) % 0.44/0.66 (define @t86 () (lambda @t10 (forall @t76 (=> @t69 (exists @t82 (and @t74 @t85)))))) % 0.44/0.66 (define @t87 () (lambda @t10 (forall @t76 (=> @t78 (or @t75 @t80 @t85))))) % 0.44/0.66 (define @t88 () (lambda @t10 (forall @t76 (=> @t78 (exists @t57 (and (_ @t68 @t52) (_ @t84 @t52))))))) % 0.44/0.66 (define @t89 () (forall @t50 @t21)) % 0.44/0.66 (define @t90 () (@list @t20)) % 0.44/0.66 (define @t91 () (lambda @t90 @t89)) % 0.44/0.66 (define @t92 () (lambda @t90 (forall @t50 @t22))) % 0.44/0.66 (define @t93 () (lambda @t90 (exists @t50 @t21))) % 0.44/0.66 (define @t94 () (lambda @t90 (exists @t50 @t22))) % 0.44/0.66 (define @t95 () (@var "BOUND_VARIABLE_8504" (-> $$unsorted Bool))) % 0.44/0.66 (define @t96 () (not (_ @t95 @t52))) % 0.44/0.66 (define @t97 () (@var "BOUND_VARIABLE_8618" (-> $$unsorted Bool))) % 0.44/0.66 (define @t98 () (and (not (_ @t97 @t52)) @t96)) % 0.44/0.66 (define @t99 () (@var "BOUND_VARIABLE_8681" $$unsorted)) % 0.44/0.66 (define @t100 () (@var "BOUND_VARIABLE_8722" (-> $$unsorted $$unsorted Bool))) % 0.44/0.66 (define @t101 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 0.44/0.66 (define @t102 () (not (_ @t95 @t101))) % 0.44/0.66 (define @t103 () (@var "BOUND_VARIABLE_8538" $$unsorted)) % 0.44/0.66 (define @t104 () (not (_ @t97 @t103))) % 0.44/0.66 (define @t105 () (or (and (or (not (_ @t100 @t99 @t103)) @t104) (or (not (_ @t100 @t99 @t101)) @t102)) (not (forall @t57 (or (not (_ @t100 @t99 @t52)) @t98))))) % 0.44/0.66 (define @t106 () (forall (@list @t100 @t99 @t97 @t95 @t103 @t101) @t105)) % 0.44/0.66 (define @t107 () (@quantifiers_skolemize @t106 5)) % 0.44/0.66 (define @t108 () (@quantifiers_skolemize @t106 1)) % 0.44/0.66 (define @t109 () (@quantifiers_skolemize @t106 0)) % 0.44/0.66 (define @t110 () (_ @t109 @t108 @t107)) % 0.44/0.66 (define @t111 () (@quantifiers_skolemize @t106 3)) % 0.44/0.66 (define @t112 () (_ @t111 @t107)) % 0.44/0.66 (define @t113 () (not @t112)) % 0.44/0.66 (define @t114 () (not @t110)) % 0.44/0.66 (define @t115 () (or @t114 @t113)) % 0.44/0.66 (define @t116 () (@var "BOUND_VARIABLE_8637" $$unsorted)) % 0.44/0.66 (define @t117 () (@var "BOUND_VARIABLE_8635" (-> $$unsorted Bool))) % 0.44/0.66 (define @t118 () (@var "BOUND_VARIABLE_8603" (-> $$unsorted Bool))) % 0.44/0.66 (define @t119 () (and (not (_ @t118 @t116)) (not (_ @t117 @t116)))) % 0.44/0.66 (define @t120 () (@var "BOUND_VARIABLE_8665" $$unsorted)) % 0.44/0.66 (define @t121 () (@var "BOUND_VARIABLE_8706" (-> $$unsorted $$unsorted Bool))) % 0.44/0.66 (define @t122 () (not (_ @t117 @t52))) % 0.44/0.66 (define @t123 () (not (_ @t121 @t120 @t52))) % 0.44/0.66 (define @t124 () (not (_ @t118 @t52))) % 0.44/0.66 (define @t125 () (or (not (forall @t57 (or @t123 @t124))) (not (forall @t57 (or @t123 @t122))) (not (_ @t121 @t120 @t116)) @t119)) % 0.44/0.66 (define @t126 () (forall (@list @t121 @t120 @t118 @t117 @t116) @t125)) % 0.44/0.66 (define @t127 () (@quantifiers_skolemize @t126 2)) % 0.44/0.67 (define @t128 () (@quantifiers_skolemize @t126 1)) % 0.44/0.67 (define @t129 () (@quantifiers_skolemize @t126 0)) % 0.44/0.67 (define @t130 () (not (_ @t129 @t128 @t52))) % 0.44/0.67 (define @t131 () (forall @t57 (or @t130 (not (_ @t127 @t52))))) % 0.44/0.67 (define @t132 () (@quantifiers_skolemize @t126 4)) % 0.44/0.67 (define @t133 () (@quantifiers_skolemize @t126 3)) % 0.44/0.67 (define @t134 () (_ @t133 @t132)) % 0.44/0.67 (define @t135 () (not @t134)) % 0.44/0.67 (define @t136 () (_ @t127 @t132)) % 0.44/0.67 (define @t137 () (not @t136)) % 0.44/0.67 (define @t138 () (and @t137 @t135)) % 0.44/0.67 (define @t139 () (_ @t129 @t128 @t132)) % 0.44/0.67 (define @t140 () (not @t139)) % 0.44/0.67 (define @t141 () (forall @t57 (or @t130 (not (_ @t133 @t52))))) % 0.44/0.67 (define @t142 () (not @t141)) % 0.44/0.67 (define @t143 () (not @t131)) % 0.44/0.67 (define @t144 () (or @t143 @t142 @t140 @t138)) % 0.44/0.67 (define @t145 () (@list @t132)) % 0.44/0.67 (define @t146 () (or @t140 @t137)) % 0.44/0.67 (define @t147 () (or @t140 @t135)) % 0.44/0.67 (define @t148 () (not @t144)) % 0.44/0.67 (define @t149 () (not @t126)) % 0.44/0.67 (define @t150 () (@list false)) % 0.44/0.67 (define @t151 () (@list @t99 @t97 @t95 @t103 @t101)) % 0.44/0.67 (define @t152 () (forall (@list @t100) (forall @t151 @t105))) % 0.44/0.67 (define @t153 () (@list @t120 @t118 @t117 @t116)) % 0.44/0.67 (define @t154 () (forall (@list @t121) (forall @t153 @t125))) % 0.44/0.67 (define @t155 () (or (and (or (not (_ @t3 @t99 @t103)) @t104) (or (not (_ @t3 @t99 @t101)) @t102)) (not (forall @t57 (or (not (_ @t3 @t99 @t52)) @t98))))) % 0.44/0.67 (define @t156 () (forall @t151 @t155)) % 0.44/0.67 (define @t157 () (forall @t10 @t156)) % 0.44/0.67 (define @t158 () (@list @t3)) % 0.44/0.67 (define @t159 () (not (_ @t3 @t120 @t52))) % 0.44/0.67 (define @t160 () (or (not (forall @t57 (or @t159 @t124))) (not (forall @t57 (or @t159 @t122))) (not (_ @t3 @t120 @t116)) @t119)) % 0.44/0.67 (define @t161 () (forall @t153 @t160)) % 0.44/0.67 (define @t162 () (forall @t10 @t161)) % 0.44/0.67 (define @t163 () (and @t162 @t157)) % 0.44/0.67 (define @t164 () (@list @t97 @t95 @t103 @t101)) % 0.44/0.67 (define @t165 () (forall (@list @t99) (forall @t164 @t155))) % 0.44/0.67 (define @t166 () (@list @t118 @t117 @t116)) % 0.44/0.67 (define @t167 () (forall (@list @t120) (forall @t166 @t160))) % 0.44/0.67 (define @t168 () (_ @t3 @t15 @t52)) % 0.44/0.67 (define @t169 () (not @t168)) % 0.44/0.67 (define @t170 () (or (not (_ @t3 @t15 @t101)) @t102)) % 0.44/0.67 (define @t171 () (not (_ @t3 @t15 @t103))) % 0.44/0.67 (define @t172 () (or (and (or @t171 @t104) @t170) (not (forall @t57 (or @t169 @t98))))) % 0.44/0.67 (define @t173 () (forall @t164 @t172)) % 0.44/0.67 (define @t174 () (forall @t50 @t173)) % 0.44/0.67 (define @t175 () (@list @t15)) % 0.44/0.67 (define @t176 () (not (_ @t3 @t15 @t116))) % 0.44/0.67 (define @t177 () (not (forall @t57 (or @t169 @t122)))) % 0.44/0.67 (define @t178 () (not (forall @t57 (or @t169 @t124)))) % 0.44/0.67 (define @t179 () (or @t178 @t177 @t176 @t119)) % 0.44/0.67 (define @t180 () (forall @t166 @t179)) % 0.44/0.67 (define @t181 () (forall @t50 @t180)) % 0.44/0.67 (define @t182 () (and @t181 @t174)) % 0.44/0.67 (define @t183 () (and @t180 @t173)) % 0.44/0.67 (define @t184 () (lambda @t50 @t183)) % 0.44/0.67 (define @t185 () (_ @t184 @t15)) % 0.44/0.67 (define @t186 () (forall @t50 @t185)) % 0.44/0.67 (define @t187 () (_ @t20 @t15)) % 0.44/0.67 (define @t188 () (lambda @t90 (forall @t50 @t187))) % 0.44/0.67 (define @t189 () (@list @t95 @t103 @t101)) % 0.44/0.67 (define @t190 () (forall (@list @t97) (forall @t189 @t172))) % 0.44/0.67 (define @t191 () (or @t177 @t176 @t119)) % 0.44/0.67 (define @t192 () (or @t178 @t191)) % 0.44/0.67 (define @t193 () (forall @t166 @t192)) % 0.44/0.67 (define @t194 () (@list @t117 @t116)) % 0.44/0.67 (define @t195 () (forall @t194 @t192)) % 0.44/0.67 (define @t196 () (@list @t118)) % 0.44/0.67 (define @t197 () (forall @t194 @t191)) % 0.44/0.67 (define @t198 () (@var "BOUND_VARIABLE_8522" $$unsorted)) % 0.44/0.67 (define @t199 () (@var "BOUND_VARIABLE_8491" (-> $$unsorted Bool))) % 0.44/0.67 (define @t200 () (or @t178 @t197)) % 0.44/0.67 (define @t201 () (not (_ @t199 @t198))) % 0.44/0.67 (define @t202 () (not (_ @t3 @t15 @t198))) % 0.44/0.67 (define @t203 () (not (_ @t199 @t52))) % 0.44/0.67 (define @t204 () (not (forall @t57 (or @t169 @t203)))) % 0.44/0.67 (define @t205 () (@list @t199 @t198)) % 0.44/0.67 (define @t206 () (forall @t196 (or @t178 (forall @t205 (or @t204 @t202 (and (not (_ @t118 @t198)) @t201)))))) % 0.44/0.67 (define @t207 () (not (_ @t40 @t52))) % 0.44/0.67 (define @t208 () (forall @t189 (or (and (or @t171 (not (_ @t40 @t103))) @t170) (not (forall @t57 (or @t169 (and @t207 @t96))))))) % 0.44/0.67 (define @t209 () (forall @t44 @t208)) % 0.44/0.67 (define @t210 () (@list @t40)) % 0.44/0.67 (define @t211 () (forall @t57 (or @t169 @t207))) % 0.44/0.67 (define @t212 () (not @t211)) % 0.44/0.67 (define @t213 () (or @t212 (forall @t205 (or @t204 @t202 (and (not (_ @t40 @t198)) @t201))))) % 0.44/0.67 (define @t214 () (forall @t44 @t213)) % 0.44/0.67 (define @t215 () (and @t214 @t209)) % 0.44/0.67 (define @t216 () (and @t213 @t208)) % 0.44/0.67 (define @t217 () (_ @t5 @t52)) % 0.44/0.67 (define @t218 () (not @t217)) % 0.44/0.67 (define @t219 () (and @t218 @t96)) % 0.44/0.67 (define @t220 () (not (_ @t3 @t1 @t52))) % 0.44/0.67 (define @t221 () (not (_ @t5 @t103))) % 0.44/0.67 (define @t222 () (and (not (_ @t5 @t198)) @t201)) % 0.44/0.67 (define @t223 () (not (forall @t57 (or @t220 @t218)))) % 0.44/0.67 (define @t224 () (and (or @t223 (forall @t205 (or (not (forall @t57 (or @t220 @t203))) (not (_ @t3 @t1 @t198)) @t222))) (forall @t189 (or (and (or (not (_ @t3 @t1 @t103)) @t221) (or (not (_ @t3 @t1 @t101)) @t102)) (not (forall @t57 (or @t220 @t219))))))) % 0.44/0.67 (define @t225 () (lambda @t8 @t224)) % 0.44/0.67 (define @t226 () (_ @t225 @t40 @t15)) % 0.44/0.67 (define @t227 () (forall @t44 @t226)) % 0.44/0.67 (define @t228 () (lambda @t50 @t227)) % 0.44/0.67 (define @t229 () (_ @t41 @t40 @t15)) % 0.44/0.67 (define @t230 () (lambda @t46 (forall @t44 @t229))) % 0.44/0.67 (define @t231 () (not (forall @t57 (or @t169 @t219)))) % 0.44/0.67 (define @t232 () (or @t171 @t221)) % 0.44/0.67 (define @t233 () (and @t232 @t170)) % 0.44/0.67 (define @t234 () (or @t233 @t231)) % 0.44/0.67 (define @t235 () (forall @t189 @t234)) % 0.44/0.67 (define @t236 () (or @t204 @t202 @t222)) % 0.44/0.67 (define @t237 () (forall @t57 (or @t169 @t218))) % 0.44/0.67 (define @t238 () (not @t237)) % 0.44/0.67 (define @t239 () (@list @t103 @t101)) % 0.44/0.67 (define @t240 () (forall @t239 @t234)) % 0.44/0.67 (define @t241 () (@list @t95)) % 0.44/0.67 (define @t242 () (forall (@list @t101) @t170)) % 0.44/0.67 (define @t243 () (@list @t52)) % 0.44/0.67 (define @t244 () (forall @t239 @t170)) % 0.44/0.67 (define @t245 () (forall (@list @t103) @t232)) % 0.44/0.67 (define @t246 () (forall @t239 @t232)) % 0.44/0.67 (define @t247 () (and @t246 @t244)) % 0.44/0.67 (define @t248 () (forall @t239 @t233)) % 0.44/0.67 (define @t249 () (or @t248 @t231)) % 0.44/0.67 (define @t250 () (forall @t241 (or (and @t237 (forall @t57 (or @t169 @t96))) @t231))) % 0.44/0.67 (define @t251 () (or @t202 @t222)) % 0.44/0.67 (define @t252 () (or @t251 @t204)) % 0.44/0.67 (define @t253 () (forall @t205 @t252)) % 0.44/0.67 (define @t254 () (@list @t198)) % 0.44/0.67 (define @t255 () (forall @t254 @t252)) % 0.44/0.67 (define @t256 () (@list @t199)) % 0.44/0.67 (define @t257 () (forall @t254 @t251)) % 0.44/0.67 (define @t258 () (or @t257 @t204)) % 0.44/0.67 (define @t259 () (forall @t57 (or @t169 (and @t218 @t203)))) % 0.44/0.67 (define @t260 () (or @t259 @t204)) % 0.44/0.67 (define @t261 () (forall @t256 @t260)) % 0.44/0.67 (define @t262 () (or @t238 @t261)) % 0.44/0.67 (define @t263 () (or @t238 @t260)) % 0.44/0.67 (define @t264 () (or @t259 @t238 @t204)) % 0.44/0.67 (define @t265 () (forall @t256 @t264)) % 0.44/0.67 (define @t266 () (forall @t57 (or @t169 (and @t218 @t207)))) % 0.44/0.67 (define @t267 () (not @t266)) % 0.44/0.67 (define @t268 () (or (and @t237 @t211) @t267)) % 0.44/0.67 (define @t269 () (forall @t44 @t268)) % 0.44/0.67 (define @t270 () (or @t266 @t238 @t212)) % 0.44/0.67 (define @t271 () (forall @t44 @t270)) % 0.44/0.67 (define @t272 () (and @t271 @t269)) % 0.44/0.67 (define @t273 () (or (not (or @t238 @t212)) @t267)) % 0.44/0.67 (define @t274 () (not @t273)) % 0.44/0.67 (define @t275 () (not @t270)) % 0.44/0.67 (define @t276 () (not (or @t275 @t274))) % 0.44/0.67 (define @t277 () (_ @t2 @t52)) % 0.44/0.67 (define @t278 () (not @t277)) % 0.44/0.67 (define @t279 () (forall @t57 (or @t220 (and @t218 @t278)))) % 0.44/0.67 (define @t280 () (not @t279)) % 0.44/0.67 (define @t281 () (not (forall @t57 (or @t220 @t278)))) % 0.44/0.67 (define @t282 () (or @t223 @t281)) % 0.44/0.67 (define @t283 () (or @t279 @t223 @t281)) % 0.44/0.67 (define @t284 () (not (or (not @t283) (not (or (not @t282) @t280))))) % 0.44/0.67 (define @t285 () (lambda @t6 @t284)) % 0.44/0.67 (define @t286 () (_ @t285 @t40 @t15)) % 0.44/0.67 (define @t287 () (forall @t44 @t286)) % 0.44/0.67 (define @t288 () (lambda @t50 @t287)) % 0.44/0.67 (define @t289 () (@list @t1)) % 0.44/0.67 (define @t290 () (not (forall @t57 (or @t169 @t278)))) % 0.44/0.67 (define @t291 () (lambda @t50 (or @t238 @t290))) % 0.44/0.67 (define @t292 () (_ @t291 @t1)) % 0.44/0.67 (define @t293 () (not @t292)) % 0.44/0.67 (define @t294 () (or @t293 @t280)) % 0.44/0.67 (define @t295 () (not @t294)) % 0.44/0.67 (define @t296 () (or @t279 @t292)) % 0.44/0.67 (define @t297 () (not @t296)) % 0.44/0.67 (define @t298 () (or @t297 @t295)) % 0.44/0.67 (define @t299 () (not @t298)) % 0.44/0.67 (define @t300 () (lambda @t289 @t299)) % 0.44/0.67 (define @t301 () (_ @t25 @t1)) % 0.44/0.67 (define @t302 () (not @t301)) % 0.44/0.67 (define @t303 () (@list @t25 @t1)) % 0.44/0.67 (define @t304 () (lambda @t289 @t281)) % 0.44/0.67 (define @t305 () (_ @t304 @t15)) % 0.44/0.67 (define @t306 () (or @t238 @t305)) % 0.44/0.67 (define @t307 () (lambda @t50 @t306)) % 0.44/0.67 (define @t308 () (@list @t25 @t15)) % 0.44/0.67 (define @t309 () (_ @t20 @t52)) % 0.44/0.67 (define @t310 () (not @t309)) % 0.44/0.67 (define @t311 () (not (forall @t57 (or @t220 @t310)))) % 0.44/0.67 (define @t312 () (lambda (@list @t20 @t1) @t311)) % 0.44/0.67 (define @t313 () (_ (lambda @t61 @t311) @t3)) % 0.44/0.67 (define @t314 () (lambda @t289 @t223)) % 0.44/0.67 (define @t315 () (_ @t314 @t15)) % 0.44/0.67 (define @t316 () (or @t315 @t26)) % 0.44/0.67 (define @t317 () (lambda @t308 @t316)) % 0.44/0.67 (define @t318 () (lambda @t289 @t280)) % 0.44/0.67 (define @t319 () (_ @t318 @t1)) % 0.44/0.67 (define @t320 () (or @t302 @t319)) % 0.44/0.67 (define @t321 () (not @t320)) % 0.44/0.67 (define @t322 () (not @t319)) % 0.44/0.67 (define @t323 () (or @t322 @t301)) % 0.44/0.67 (define @t324 () (not @t323)) % 0.44/0.67 (define @t325 () (or @t324 @t321)) % 0.44/0.67 (define @t326 () (not @t325)) % 0.44/0.67 (define @t327 () (lambda @t303 @t326)) % 0.44/0.67 (define @t328 () (_ @t20 @t1)) % 0.44/0.67 (define @t329 () (or @t302 @t328)) % 0.44/0.67 (define @t330 () (not @t328)) % 0.44/0.67 (define @t331 () (or @t330 @t301)) % 0.44/0.67 (define @t332 () (not @t331)) % 0.44/0.67 (define @t333 () (not (or @t332 (not @t329)))) % 0.44/0.67 (define @t334 () (lambda @t31 @t333)) % 0.44/0.67 (define @t335 () (_ @t2 @t52)) % 0.44/0.67 (define @t336 () (not @t335)) % 0.44/0.67 (define @t337 () (_ @t5 @t52)) % 0.44/0.67 (define @t338 () (not @t337)) % 0.44/0.67 (define @t339 () (and @t338 @t336)) % 0.44/0.67 (define @t340 () (or @t220 @t339)) % 0.44/0.67 (define @t341 () (or @t337 @t335)) % 0.44/0.67 (define @t342 () (or @t220 (not @t341))) % 0.44/0.67 (define @t343 () (_ @t5 @t15)) % 0.44/0.67 (define @t344 () (lambda @t50 (or @t343 (_ @t2 @t15)))) % 0.44/0.67 (define @t345 () (_ @t344 @t52)) % 0.44/0.67 (define @t346 () (not @t345)) % 0.44/0.67 (define @t347 () (or @t220 @t346)) % 0.44/0.67 (define @t348 () (forall @t57 @t347)) % 0.44/0.67 (define @t349 () (not @t348)) % 0.44/0.67 (define @t350 () (lambda @t289 @t349)) % 0.44/0.67 (define @t351 () (lambda @t308 (or @t343 @t26))) % 0.44/0.67 (define @t352 () (_ @t27 @t5)) % 0.44/0.67 (define @t353 () (lambda @t6 (_ (_ (_ @t334 (_ @t313 (_ @t352 @t2))) (_ (_ @t27 (_ @t313 @t5)) (_ @t313 @t2))) @t1))) % 0.44/0.67 (define @t354 () (lambda @t8 (_ (_ @t230 @t353) @t1))) % 0.44/0.67 (define @t355 () (forall @t10 (_ @t188 (_ @t230 @t354)))) % 0.44/0.67 (define @t356 () (forall @t57 (or @t169 @t310))) % 0.44/0.67 (define @t357 () (lambda @t50 @t356)) % 0.44/0.67 (define @t358 () (_ @t357 @t15)) % 0.44/0.67 (define @t359 () (not @t358)) % 0.44/0.67 (define @t360 () (lambda @t50 @t359)) % 0.44/0.67 (define @t361 () (not @t53)) % 0.44/0.67 (define @t362 () (or @t169 @t361)) % 0.44/0.67 (define @t363 () (lambda @t50 @t22)) % 0.44/0.67 (define @t364 () (_ @t363 @t52)) % 0.44/0.67 (define @t365 () (or @t169 @t364)) % 0.44/0.67 (define @t366 () (forall @t57 @t365)) % 0.44/0.67 (define @t367 () (lambda @t50 @t366)) % 0.44/0.67 (define @t368 () (forall @t57 (or @t169 @t309))) % 0.44/0.67 (define @t369 () (lambda @t23 @t368)) % 0.44/0.67 (define @t370 () (lambda @t289 @t329)) % 0.44/0.67 (define @t371 () (_ @t370 @t1)) % 0.44/0.67 (define @t372 () (not @t371)) % 0.44/0.67 (define @t373 () (or @t332 @t372)) % 0.44/0.67 (define @t374 () (not @t373)) % 0.44/0.67 (define @t375 () (lambda @t289 @t374)) % 0.44/0.67 (define @t376 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.44/0.67 (define @t377 () (not (_ @t376 @t1))) % 0.44/0.67 (define @t378 () (@list @t376 @t1)) % 0.44/0.67 (define @t379 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.44/0.67 (define @t380 () (_ @t379 @t1)) % 0.44/0.67 (define @t381 () (lambda (@list @t379 @t1) (or @t302 @t380))) % 0.44/0.67 (define @t382 () (lambda @t31 @t331)) % 0.44/0.67 (define @t383 () (@list @t25)) % 0.44/0.67 (define @t384 () (lambda @t289 @t331)) % 0.44/0.67 (define @t385 () (_ @t384 @t1)) % 0.44/0.67 (define @t386 () (not @t385)) % 0.44/0.67 (define @t387 () (or @t386 @t377)) % 0.44/0.67 (define @t388 () (not @t387)) % 0.44/0.67 (define @t389 () (lambda @t378 @t388)) % 0.44/0.67 (define @t390 () (not (or @t330 @t302))) % 0.44/0.67 (define @t391 () (lambda @t31 @t390)) % 0.44/0.67 (define @t392 () (lambda @t303 @t331)) % 0.44/0.67 (define @t393 () (or @t22 @t26)) % 0.44/0.67 (define @t394 () (lambda @t50 @t393)) % 0.44/0.67 (define @t395 () (lambda @t308 @t393)) % 0.44/0.67 (define @t396 () (_ @t363 @t15)) % 0.44/0.67 (define @t397 () (or @t396 @t26)) % 0.44/0.67 (define @t398 () (lambda @t308 @t397)) % 0.44/0.67 (define @t399 () (not @t26)) % 0.44/0.67 (define @t400 () (or @t22 @t399)) % 0.44/0.67 (define @t401 () (lambda @t50 @t400)) % 0.44/0.67 (define @t402 () (_ @t401 @t15)) % 0.44/0.67 (define @t403 () (not @t402)) % 0.44/0.67 (define @t404 () (lambda @t50 @t403)) % 0.44/0.67 (define @t405 () (lambda @t50 @t399)) % 0.44/0.67 (define @t406 () (_ @t405 @t15)) % 0.44/0.67 (define @t407 () (or @t22 @t406)) % 0.44/0.67 (define @t408 () (lambda @t50 @t407)) % 0.44/0.67 (define @t409 () (not @t106)) % 0.44/0.67 (define @t410 () (@quantifiers_skolemize @t106 2)) % 0.44/0.67 (define @t411 () (forall @t57 (or (not (_ @t109 @t108 @t52)) (and (not (_ @t410 @t52)) (not (_ @t111 @t52)))))) % 0.44/0.67 (define @t412 () (not @t411)) % 0.44/0.67 (define @t413 () (@quantifiers_skolemize @t106 4)) % 0.44/0.67 (define @t414 () (_ @t410 @t413)) % 0.44/0.67 (define @t415 () (not @t414)) % 0.44/0.67 (define @t416 () (_ @t109 @t108 @t413)) % 0.44/0.67 (define @t417 () (not @t416)) % 0.44/0.67 (define @t418 () (or @t417 @t415)) % 0.44/0.67 (define @t419 () (and @t418 @t115)) % 0.44/0.67 (define @t420 () (or @t419 @t412)) % 0.44/0.67 (define @t421 () (not @t420)) % 0.44/0.67 (define @t422 () (@list true)) % 0.44/0.67 (define @t423 () (@list @t420)) % 0.44/0.67 (define @t424 () (and (not (_ @t410 @t107)) @t113)) % 0.44/0.67 (define @t425 () (or @t114 @t424)) % 0.44/0.67 (define @t426 () (@list @t411)) % 0.44/0.67 (define @t427 () (@list @t418)) % 0.44/0.67 (define @t428 () (and @t415 (not (_ @t111 @t413)))) % 0.44/0.67 (define @t429 () (or @t417 @t428)) % 0.44/0.67 (define @t430 () (@list false false)) % 0.44/0.67 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.67 (assume @p2 @t12) % 0.44/0.67 (assume @p3 true) % 0.44/0.67 (step @p4 (= tptp.meq_ind @t16) :rule refl :args (@t16)) % 0.44/0.67 (step @p5 (= tptp.meq_prop @t19) :rule refl :args (@t19)) % 0.44/0.67 (step @p6 (= tptp.mnot @t24) :rule refl :args (@t24)) % 0.44/0.67 (step @p7 (= tptp.mor @t27) :rule refl :args (@t27)) % 0.44/0.67 (step @p8 (= tptp.mand @t32) :rule refl :args (@t32)) % 0.44/0.67 (step @p9 (= tptp.mimplies @t33) :rule refl :args (@t33)) % 0.44/0.67 (step @p10 (= tptp.mimplied @t34) :rule refl :args (@t34)) % 0.44/0.67 (step @p11 (= tptp.mequiv @t35) :rule refl :args (@t35)) % 0.44/0.67 (step @p12 (= tptp.mxor @t36) :rule refl :args (@t36)) % 0.44/0.67 (step @p13 (= tptp.mforall_ind @t39) :rule refl :args (@t39)) % 0.44/0.67 (step @p14 (= tptp.mforall_prop @t47) :rule refl :args (@t47)) % 0.44/0.67 (step @p15 (= tptp.mexists_ind @t48) :rule refl :args (@t48)) % 0.44/0.67 (step @p16 (= tptp.mexists_prop @t49) :rule refl :args (@t49)) % 0.44/0.67 (step @p17 (= tptp.mtrue @t51) :rule refl :args (@t51)) % 0.44/0.67 (step @p18 (= tptp.mbox @t60) :rule refl :args (@t60)) % 0.44/0.67 (step @p19 (= tptp.mdia @t62) :rule refl :args (@t62)) % 0.44/0.67 (step @p20 (= tptp.mreflexive @t66) :rule refl :args (@t66)) % 0.44/0.67 (step @p21 (= tptp.msymmetric @t70) :rule refl :args (@t70)) % 0.44/0.67 (step @p22 (= tptp.mserial @t72) :rule refl :args (@t72)) % 0.44/0.67 (step @p23 (= tptp.mtransitive @t77) :rule refl :args (@t77)) % 0.44/0.67 (step @p24 (= tptp.meuclidean @t79) :rule refl :args (@t79)) % 0.44/0.67 (step @p25 (= tptp.mpartially_functional @t81) :rule refl :args (@t81)) % 0.44/0.67 (step @p26 (= tptp.mfunctional @t83) :rule refl :args (@t83)) % 0.44/0.67 (step @p27 (= tptp.mweakly_dense @t86) :rule refl :args (@t86)) % 0.44/0.67 (step @p28 (= tptp.mweakly_connected @t87) :rule refl :args (@t87)) % 0.44/0.67 (step @p29 (= tptp.mweakly_directed @t88) :rule refl :args (@t88)) % 0.44/0.67 (step @p30 (= tptp.mvalid @t91) :rule refl :args (@t91)) % 0.44/0.67 (step @p31 (= tptp.minvalid @t92) :rule refl :args (@t92)) % 0.44/0.67 (step @p32 (= tptp.msatisfiable @t93) :rule refl :args (@t93)) % 0.44/0.67 (step @p33 (= tptp.mcountersatisfiable @t94) :rule refl :args (@t94)) % 0.44/0.67 (step @p34 :rule bool-double-not-elim :args (@t110)) % 0.44/0.67 (step @p35 :rule refl :args (@t115)) % 0.44/0.67 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t115 (not @t114)))) % 0.44/0.67 (step @p37 :rule cnf_or_neg :args (@t115 0)) % 0.44/0.67 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.44/0.67 (step @p39 :rule reordering :premises (@p38) :args ((or @t110 @t115))) % 0.44/0.67 (step @p40 :rule bool-double-not-elim :args (@t112)) % 0.44/0.67 (step @p41 :rule nary_cong :premises (@p35 @p40) :args ((or @t115 (not @t113)))) % 0.44/0.67 (step @p42 :rule cnf_or_neg :args (@t115 1)) % 0.44/0.67 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.44/0.67 (step @p44 :rule reordering :premises (@p43) :args ((or @t112 @t115))) % 0.44/0.67 (step @p45 :rule bool-double-not-elim :args (@t131)) % 0.44/0.67 (step @p46 :rule refl :args (@t144)) % 0.44/0.67 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t144 (not @t143)))) % 0.44/0.67 (step @p48 :rule cnf_or_neg :args (@t144 0)) % 0.44/0.67 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.44/0.67 (step @p50 :rule reordering :premises (@p49) :args ((or @t131 @t144))) % 0.44/0.67 (step @p51 :rule bool-double-not-elim :args (@t141)) % 0.44/0.67 (step @p52 :rule nary_cong :premises (@p46 @p51) :args ((or @t144 (not @t142)))) % 0.44/0.67 (step @p53 :rule cnf_or_neg :args (@t144 1)) % 0.44/0.67 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.44/0.67 (step @p55 :rule reordering :premises (@p54) :args ((or @t141 @t144))) % 0.44/0.67 (step @p56 :rule bool-double-not-elim :args (@t139)) % 0.44/0.67 (step @p57 :rule nary_cong :premises (@p46 @p56) :args ((or @t144 (not @t140)))) % 0.44/0.67 (step @p58 :rule cnf_or_neg :args (@t144 2)) % 0.44/0.67 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.44/0.67 (step @p60 :rule reordering :premises (@p59) :args ((or @t139 @t144))) % 0.44/0.67 (step @p61 :rule cnf_or_neg :args (@t144 3)) % 0.44/0.67 (assume-push @p569 @t131) % 0.44/0.67 (step @p63 :rule instantiate :premises (@p569) :args (@t145)) % 0.44/0.67 (step-pop @p570 :rule scope :premises (@p63)) % 0.44/0.67 (step @p64 :rule process_scope :premises (@p570) :args (@t146)) % 0.44/0.67 (step @p66 :rule implies_elim :premises (@p64)) % 0.44/0.67 (step @p67 :rule cnf_or_pos :args (@t146)) % 0.44/0.67 (step @p68 :rule reordering :premises (@p67) :args ((or @t140 @t137 (not @t146)))) % 0.44/0.67 (step @p69 :rule bool-double-not-elim :args (@t134)) % 0.44/0.67 (step @p70 :rule bool-double-not-elim :args (@t136)) % 0.44/0.67 (step @p71 :rule refl :args (@t138)) % 0.44/0.67 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args ((or @t138 (not @t137) (not @t135)))) % 0.44/0.67 (step @p73 :rule cnf_and_neg :args (@t138)) % 0.44/0.67 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.44/0.67 (step @p75 :rule reordering :premises (@p74) :args ((or @t136 @t134 @t138))) % 0.44/0.67 (step @p76 :rule cnf_or_pos :args (@t147)) % 0.44/0.67 (step @p77 :rule reordering :premises (@p76) :args ((or @t140 @t135 (not @t147)))) % 0.44/0.67 (assume-push @p571 @t141) % 0.44/0.67 (step @p79 :rule instantiate :premises (@p571) :args (@t145)) % 0.44/0.67 (step-pop @p572 :rule scope :premises (@p79)) % 0.44/0.67 (step @p80 :rule process_scope :premises (@p572) :args (@t147)) % 0.44/0.67 (step @p82 :rule implies_elim :premises (@p80)) % 0.44/0.67 (step @p83 :rule chain_m_resolution :premises (@p82 @p77 @p75 @p68 @p66 @p61 @p60 @p55 @p50) :args (@t144 (@list true false true false true false false false) (@list @t147 @t134 @t136 @t146 @t138 @t139 @t141 @t131))) % 0.44/0.67 (step @p84 :rule refl :args (@t148)) % 0.44/0.67 (step @p85 :rule bool-double-not-elim :args (@t126)) % 0.44/0.67 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or (not @t149) @t148))) % 0.44/0.67 (assume-push @p573 @t149) % 0.44/0.67 (step @p88 :rule skolemize :premises (@p573)) % 0.44/0.67 (step-pop @p574 :rule scope :premises (@p88)) % 0.44/0.67 (step @p89 :rule process_scope :premises (@p574) :args (@t148)) % 0.44/0.67 (step @p91 :rule implies_elim :premises (@p89)) % 0.44/0.67 (step @p92 :rule eq_resolve :premises (@p91 @p86)) % 0.44/0.67 (step @p93 :rule chain_m_resolution :premises (@p92 @p83) :args (@t126 @t150 (@list @t144))) % 0.44/0.67 (step @p94 :rule quant-merge-prenex :args ((= @t152 @t106))) % 0.44/0.67 (step @p95 :rule quant-merge-prenex :args ((= @t154 @t126))) % 0.44/0.67 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((and @t154 @t152))) % 0.44/0.67 (step @p97 :rule alpha_equiv :args (@t157 @t158 (@list @t100))) % 0.44/0.67 (step @p98 :rule alpha_equiv :args (@t162 @t158 (@list @t121))) % 0.44/0.67 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t163)) % 0.44/0.67 (step @p100 :rule quant-miniscope-and :args ((= (forall @t10 (and @t161 @t156)) @t163))) % 0.44/0.67 (step @p101 :rule trans :premises (@p100 @p99)) % 0.44/0.67 (step @p102 :rule trans :premises (@p101 @p96)) % 0.44/0.67 (step @p103 :rule quant-merge-prenex :args ((= @t165 @t156))) % 0.44/0.67 (step @p104 :rule quant-merge-prenex :args ((= @t167 @t161))) % 0.44/0.67 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((and @t167 @t165))) % 0.44/0.67 (step @p106 :rule alpha_equiv :args (@t174 @t175 (@list @t99))) % 0.44/0.67 (step @p107 :rule alpha_equiv :args (@t181 @t175 (@list @t120))) % 0.44/0.67 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t182)) % 0.44/0.67 (step @p109 :rule quant-miniscope-and :args ((= (forall @t50 @t183) @t182))) % 0.44/0.67 (step @p110 :rule trans :premises (@p109 @p108)) % 0.44/0.67 (step @p111 :rule trans :premises (@p110 @p105)) % 0.44/0.67 (step @p112 :rule beta-reduce :args ((= @t185 @t183))) % 0.44/0.67 (step @p113 :rule cong :premises (@p112) :args (@t186)) % 0.44/0.67 (step @p114 :rule trans :premises (@p113 @p111)) % 0.44/0.67 (step @p115 :rule beta-reduce :args ((= (_ @t188 @t184) @t186))) % 0.44/0.67 (step @p116 :rule trans :premises (@p115 @p114)) % 0.44/0.67 (step @p117 :rule quant-merge-prenex :args ((= @t190 @t173))) % 0.44/0.67 (step @p118 :rule aci_norm :args ((= @t192 @t179))) % 0.44/0.67 (step @p119 :rule cong :premises (@p118) :args (@t193)) % 0.44/0.67 (step @p120 :rule quant-merge-prenex :args ((= (forall @t196 @t195) @t193))) % 0.44/0.67 (step @p121 :rule alpha_equiv :args (@t197 (@list @t117 @t116) (@list @t199 @t198))) % 0.44/0.67 (step @p122 :rule refl :args (@t178)) % 0.44/0.67 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t200)) % 0.44/0.67 (step @p124 :rule quant-miniscope-or :args ((= @t195 @t200))) % 0.44/0.67 (step @p125 :rule trans :premises (@p124 @p123)) % 0.44/0.67 (step @p126 :rule symm :premises (@p125)) % 0.44/0.67 (step @p127 :rule cong :premises (@p126) :args (@t206)) % 0.44/0.67 (step @p128 :rule trans :premises (@p127 @p120)) % 0.44/0.67 (step @p129 :rule trans :premises (@p128 @p119)) % 0.44/0.67 (step @p130 :rule nary_cong :premises (@p129 @p117) :args ((and @t206 @t190))) % 0.44/0.67 (step @p131 :rule alpha_equiv :args (@t209 @t210 (@list @t97))) % 0.44/0.67 (step @p132 :rule alpha_equiv :args (@t214 @t210 (@list @t118))) % 0.44/0.67 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t215)) % 0.44/0.67 (step @p134 :rule quant-miniscope-and :args ((= (forall @t44 @t216) @t215))) % 0.44/0.67 (step @p135 :rule trans :premises (@p134 @p133)) % 0.44/0.67 (step @p136 :rule trans :premises (@p135 @p130)) % 0.44/0.67 (step @p137 :rule beta-reduce :args ((= @t226 @t216))) % 0.44/0.67 (step @p138 :rule cong :premises (@p137) :args (@t227)) % 0.44/0.67 (step @p139 :rule trans :premises (@p138 @p136)) % 0.44/0.67 (step @p140 :rule cong :premises (@p139) :args (@t228)) % 0.44/0.67 (step @p141 :rule beta-reduce :args ((= (_ @t230 @t225) @t228))) % 0.44/0.67 (step @p142 :rule trans :premises (@p141 @p140)) % 0.44/0.67 (step @p143 :rule beta-reduce :args ((= (_ (lambda @t50 (and (or @t238 (forall @t205 @t236)) @t235)) @t1) @t224))) % 0.44/0.67 (step @p144 :rule refl :args (@t1)) % 0.44/0.67 (step @p145 :rule quant-merge-prenex :args ((= (forall @t241 @t240) @t235))) % 0.44/0.67 (step @p146 :rule refl :args (@t231)) % 0.44/0.67 (step @p147 :rule alpha_equiv :args (@t242 (@list @t101) @t243)) % 0.44/0.67 (step @p148 :rule quant-unused-vars :args ((= @t244 @t242))) % 0.44/0.67 (step @p149 :rule trans :premises (@p148 @p147)) % 0.44/0.67 (step @p150 :rule alpha_equiv :args (@t245 (@list @t103) @t243)) % 0.44/0.67 (step @p151 :rule quant-unused-vars :args ((= @t246 @t245))) % 0.44/0.67 (step @p152 :rule trans :premises (@p151 @p150)) % 0.44/0.67 (step @p153 :rule nary_cong :premises (@p152 @p149) :args (@t247)) % 0.44/0.67 (step @p154 :rule quant-miniscope-and :args ((= @t248 @t247))) % 0.44/0.67 (step @p155 :rule trans :premises (@p154 @p153)) % 0.44/0.67 (step @p156 :rule nary_cong :premises (@p155 @p146) :args (@t249)) % 0.44/0.67 (step @p157 :rule quant-miniscope-or :args ((= @t240 @t249))) % 0.44/0.67 (step @p158 :rule trans :premises (@p157 @p156)) % 0.44/0.67 (step @p159 :rule symm :premises (@p158)) % 0.44/0.67 (step @p160 :rule cong :premises (@p159) :args (@t250)) % 0.44/0.67 (step @p161 :rule trans :premises (@p160 @p145)) % 0.44/0.67 (step @p162 :rule aci_norm :args ((= @t252 @t236))) % 0.44/0.67 (step @p163 :rule cong :premises (@p162) :args (@t253)) % 0.44/0.67 (step @p164 :rule quant-merge-prenex :args ((= (forall @t256 @t255) @t253))) % 0.44/0.67 (step 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0.44/0.67 (step @p433 :rule ho_cong :premises (@p247 @p349)) % 0.44/0.67 (step @p434 :rule trans :premises (@p433 @p432)) % 0.44/0.67 (step @p435 :rule ho_cong :premises (@p434 @p415)) % 0.44/0.67 (step @p436 :rule trans :premises (@p435 @p427)) % 0.44/0.67 (step @p437 :rule ho_cong :premises (@p436 @p144)) % 0.44/0.67 (step @p438 :rule trans :premises (@p437 @p426)) % 0.44/0.67 (step @p439 :rule ho_cong :premises (@p7 @p359)) % 0.44/0.67 (step @p440 :rule ho_cong :premises (@p439 @p415)) % 0.44/0.67 (step @p441 :rule ho_cong :premises (@p440 @p144)) % 0.44/0.67 (step @p442 :rule trans :premises (@p441 @p438)) % 0.44/0.67 (step @p443 :rule cong :premises (@p442) :args (@t33)) % 0.44/0.67 (step @p444 :rule trans :premises (@p9 @p443)) % 0.44/0.67 (step @p445 :rule ho_cong :premises (@p444 @p415)) % 0.44/0.67 (step @p446 :rule ho_cong :premises (@p445 @p358)) % 0.44/0.67 (step @p447 :rule ho_cong :premises (@p444 @p358)) % 0.44/0.67 (step @p448 :rule ho_cong :premises (@p447 @p415)) % 0.44/0.67 (step @p449 :rule beta-reduce :args ((= (_ (lambda @t50 (not @t400)) @t1) @t390))) % 0.44/0.67 (step @p450 :rule beta-reduce :args ((= @t402 @t400))) % 0.44/0.67 (step @p451 :rule cong :premises (@p450) :args (@t403)) % 0.44/0.67 (step @p452 :rule cong :premises (@p451) :args (@t404)) % 0.44/0.67 (step @p453 :rule beta-reduce :args ((= (_ @t24 @t401) @t404))) % 0.44/0.67 (step @p454 :rule trans :premises (@p453 @p452)) % 0.44/0.67 (step @p455 :rule beta-reduce :args ((= @t406 @t399))) % 0.44/0.67 (step @p456 :rule refl :args (@t22)) % 0.44/0.67 (step @p457 :rule nary_cong :premises (@p456 @p455) :args (@t407)) % 0.44/0.67 (step @p458 :rule cong :premises (@p457) :args (@t408)) % 0.44/0.67 (step @p459 :rule beta-reduce :args ((= (_ @t395 @t405) @t408))) % 0.44/0.67 (step @p460 :rule trans :premises (@p459 @p458)) % 0.44/0.67 (step @p461 :rule beta-reduce :args ((= (_ @t24 @t25) @t405))) % 0.44/0.67 (step @p462 :rule ho_cong :premises (@p434 @p461)) % 0.44/0.67 (step @p463 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cong :premises (@p478) :args (@t35)) % 0.44/0.67 (step @p480 :rule trans :premises (@p11 @p479)) % 0.44/0.67 (step @p481 :rule ho_cong :premises (@p480 @p384)) % 0.44/0.67 (step @p482 :rule ho_cong :premises (@p481 @p381)) % 0.44/0.67 (step @p483 :rule ho_cong :premises (@p482 @p144)) % 0.44/0.67 (step @p484 :rule cong :premises (@p483) :args (@t7)) % 0.44/0.67 (step @p485 :rule refl :args (@t229)) % 0.44/0.67 (step @p486 :rule refl :args (@t43)) % 0.44/0.67 (step @p487 :rule cong :premises (@p486 @p485) :args ((= @t43 @t229))) % 0.44/0.67 (step @p488 :rule symm :premises (@p487)) % 0.44/0.67 (step @p489 :rule eq_resolve :premises (@p486 @p488)) % 0.44/0.67 (step @p490 :rule cong :premises (@p489) :args (@t45)) % 0.44/0.67 (step @p491 :rule cong :premises (@p490) :args (@t47)) % 0.44/0.67 (step @p492 :rule trans :premises (@p14 @p491)) % 0.44/0.67 (step @p493 :rule ho_cong :premises (@p492 @p484)) % 0.44/0.67 (step @p494 :rule ho_cong :premises (@p493 @p144)) % 0.44/0.67 (step @p495 :rule cong :premises (@p494) :args (@t9)) % 0.44/0.67 (step @p496 :rule ho_cong :premises (@p492 @p495)) % 0.44/0.67 (step @p497 :rule refl :args (@t187)) % 0.44/0.67 (step @p498 :rule refl :args (@t21)) % 0.44/0.67 (step @p499 :rule cong :premises (@p498 @p497) :args ((= @t21 @t187))) % 0.44/0.67 (step @p500 :rule symm :premises (@p499)) % 0.44/0.67 (step @p501 :rule eq_resolve :premises (@p498 @p500)) % 0.44/0.67 (step @p502 :rule cong :premises (@p501) :args (@t89)) % 0.44/0.67 (step @p503 :rule cong :premises (@p502) :args (@t91)) % 0.44/0.67 (step @p504 :rule trans :premises (@p30 @p503)) % 0.44/0.67 (step @p505 :rule ho_cong :premises (@p504 @p496)) % 0.44/0.67 (step @p506 :rule cong :premises (@p505) :args (@t11)) % 0.44/0.67 (step @p507 :rule cong :premises (@p506) :args (@t12)) % 0.44/0.67 (step @p508 :rule trans :premises (@p507 @p324)) % 0.44/0.67 (step @p509 :rule eq_resolve :premises (@p2 @p508)) % 0.44/0.67 (step @p510 :rule not_and :premises (@p509)) % 0.44/0.67 (step @p511 :rule chain_m_resolution :premises (@p510 @p93) :args (@t409 @t150 (@list @t126))) % 0.44/0.67 (step @p512 :rule refl :args (@t421)) % 0.44/0.67 (step @p513 :rule bool-double-not-elim :args (@t106)) % 0.44/0.67 (step @p514 :rule nary_cong :premises (@p513 @p512) :args ((or (not @t409) @t421))) % 0.44/0.67 (assume-push @p575 @t409) % 0.44/0.67 (step @p516 :rule skolemize :premises (@p575)) % 0.44/0.67 (step-pop @p576 :rule scope :premises (@p516)) % 0.44/0.67 (step @p517 :rule process_scope :premises (@p576) :args (@t421)) % 0.44/0.67 (step @p519 :rule implies_elim :premises (@p517)) % 0.44/0.67 (step @p520 :rule eq_resolve :premises (@p519 @p514)) % 0.44/0.67 (step @p521 :rule chain_m_resolution :premises (@p520 @p511) :args (@t421 @t422 (@list @t106))) % 0.44/0.67 (step @p522 :rule bool-double-not-elim :args (@t411)) % 0.44/0.67 (step @p523 :rule refl :args (@t420)) % 0.44/0.67 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t420 (not @t412)))) % 0.44/0.67 (step @p525 :rule cnf_or_neg :args (@t420 1)) % 0.44/0.67 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 0.44/0.67 (step @p527 :rule reordering :premises (@p526) :args ((or @t411 @t420))) % 0.44/0.67 (step @p528 :rule chain_m_resolution :premises (@p527 @p521) :args (@t411 @t422 @t423)) % 0.44/0.67 (assume-push @p577 @t411) % 0.44/0.67 (step @p530 :rule instantiate :premises (@p577) :args ((@list @t107))) % 0.44/0.67 (step-pop @p578 :rule scope :premises (@p530)) % 0.44/0.67 (step @p531 :rule process_scope :premises (@p578) :args (@t425)) % 0.44/0.67 (step @p533 :rule implies_elim :premises (@p531)) % 0.44/0.67 (step @p534 :rule chain_m_resolution :premises (@p533 @p528) :args (@t425 @t150 @t426)) % 0.44/0.67 (step @p535 :rule cnf_or_pos :args (@t425)) % 0.44/0.67 (step @p536 :rule reordering :premises (@p535) :args ((or @t114 @t424 (not @t425)))) % 0.44/0.67 (step @p537 :rule cnf_and_pos :args (@t424 1)) % 0.44/0.67 (step @p538 :rule reordering :premises (@p537) :args ((or @t113 (not @t424)))) % 0.44/0.67 (step @p539 :rule chain_m_resolution :premises (@p538 @p536 @p534 @p44 @p39) :args (@t115 (@list false false false false) (@list @t424 @t425 @t112 @t110))) % 0.44/0.67 (step @p540 :rule cnf_or_neg :args (@t420 0)) % 0.44/0.67 (step @p541 :rule chain_m_resolution :premises (@p540 @p521) :args ((not @t419) @t422 @t423)) % 0.44/0.67 (step @p542 :rule cnf_and_neg :args (@t419)) % 0.44/0.67 (step @p543 :rule chain_m_resolution :premises (@p542 @p541 @p539) :args ((not @t418) (@list true false) (@list @t419 @t115))) % 0.44/0.67 (step @p544 :rule bool-double-not-elim :args (@t414)) % 0.44/0.67 (step @p545 :rule refl :args (@t418)) % 0.44/0.67 (step @p546 :rule nary_cong :premises (@p545 @p544) :args ((or @t418 (not @t415)))) % 0.44/0.67 (step @p547 :rule cnf_or_neg :args (@t418 1)) % 0.44/0.67 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 0.44/0.67 (step @p549 :rule reordering :premises (@p548) :args ((or @t414 @t418))) % 0.44/0.67 (step @p550 :rule chain_m_resolution :premises (@p549 @p543) :args (@t414 @t422 @t427)) % 0.44/0.67 (assume-push @p579 @t411) % 0.44/0.67 (step @p552 :rule instantiate :premises (@p579) :args ((@list @t413))) % 0.44/0.67 (step-pop @p580 :rule scope :premises (@p552)) % 0.44/0.67 (step @p553 :rule process_scope :premises (@p580) :args (@t429)) % 0.44/0.67 (step @p555 :rule implies_elim :premises (@p553)) % 0.44/0.67 (step @p556 :rule chain_m_resolution :premises (@p555 @p528) :args (@t429 @t150 @t426)) % 0.44/0.67 (step @p557 :rule bool-double-not-elim :args (@t416)) % 0.44/0.67 (step @p558 :rule nary_cong :premises (@p545 @p557) :args ((or @t418 (not @t417)))) % 0.44/0.67 (step @p559 :rule cnf_or_neg :args (@t418 0)) % 0.44/0.67 (step @p560 :rule eq_resolve :premises (@p559 @p558)) % 0.44/0.67 (step @p561 :rule reordering :premises (@p560) :args ((or @t416 @t418))) % 0.44/0.67 (step @p562 :rule chain_m_resolution :premises (@p561 @p543) :args (@t416 @t422 @t427)) % 0.44/0.67 (step @p563 :rule cnf_or_pos :args (@t429)) % 0.44/0.67 (step @p564 :rule reordering :premises (@p563) :args ((or @t417 @t428 (not @t429)))) % 0.44/0.67 (step @p565 :rule chain_m_resolution :premises (@p564 @p562 @p556) :args (@t428 @t430 (@list @t416 @t429))) % 0.44/0.67 (step @p566 :rule cnf_and_pos :args (@t428 0)) % 0.44/0.67 (step @p567 :rule reordering :premises (@p566) :args ((or @t415 (not @t428)))) % 0.44/0.67 (step @p568 false :rule chain_m_resolution :premises (@p567 @p565 @p550) :args (false @t430 (@list @t428 @t414))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------