%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO045^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:11:51 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO045^1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:52:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.48 %----Proving TH0 % 0.36/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-sort tptp.mu 0) % 0.36/0.59 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.36/0.59 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.36/0.59 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.36/0.59 (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)))))) % 0.36/0.59 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.59 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.59 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.59 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.59 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.36/0.59 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.59 (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))))))) % 0.36/0.59 (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))))))) % 0.36/0.59 (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)))))) % 0.36/0.59 (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)))))) % 0.36/0.59 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.36/0.59 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.36/0.59 (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)))))) % 0.36/0.59 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.36/0.59 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.59 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.59 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.36/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.36/0.59 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.36/0.59 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.36/0.59 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.36/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.36/0.59 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.36/0.59 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.36/0.59 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.59 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.36/0.59 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.59 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "B" (-> $$unsorted Bool))) % 0.36/0.59 (define @t3 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.59 (define @t4 () (_ tptp.mbox @t3)) % 0.36/0.59 (define @t5 () (@var "A" (-> $$unsorted Bool))) % 0.36/0.59 (define @t6 () (@list @t2 @t1)) % 0.36/0.59 (define @t7 () (lambda @t6 (_ (_ (_ tptp.mimplies (_ @t4 (_ (_ tptp.mimplies @t5) @t2))) (_ (_ tptp.mimplies (_ @t4 @t5)) (_ @t4 @t2))) @t1))) % 0.36/0.59 (define @t8 () (@list @t5 @t1)) % 0.36/0.59 (define @t9 () (lambda @t8 (_ (_ tptp.mforall_prop @t7) @t1))) % 0.36/0.59 (define @t10 () (@list @t3)) % 0.36/0.59 (define @t11 () (forall @t10 (_ tptp.mvalid (_ tptp.mforall_prop @t9)))) % 0.36/0.59 (define @t12 () (not @t11)) % 0.36/0.59 (define @t13 () (@var "Y" tptp.mu)) % 0.36/0.59 (define @t14 () (@var "X" tptp.mu)) % 0.36/0.59 (define @t15 () (@var "W" $$unsorted)) % 0.36/0.59 (define @t16 () (lambda (@list @t14 @t13 @t15) (= @t14 @t13))) % 0.36/0.59 (define @t17 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.59 (define @t18 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.59 (define @t19 () (lambda (@list @t18 @t17 @t15) (= (_ @t18 @t15) (_ @t17 @t15)))) % 0.36/0.59 (define @t20 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.59 (define @t21 () (_ @t20 @t15)) % 0.36/0.59 (define @t22 () (not @t21)) % 0.36/0.59 (define @t23 () (@list @t20 @t15)) % 0.36/0.59 (define @t24 () (lambda @t23 @t22)) % 0.36/0.59 (define @t25 () (@var "Psi" (-> $$unsorted Bool))) % 0.36/0.59 (define @t26 () (_ @t25 @t15)) % 0.36/0.59 (define @t27 () (lambda (@list @t20 @t25 @t15) (or @t21 @t26))) % 0.36/0.59 (define @t28 () (_ tptp.mnot @t25)) % 0.36/0.59 (define @t29 () (_ tptp.mnot @t20)) % 0.36/0.59 (define @t30 () (_ tptp.mor @t29)) % 0.36/0.59 (define @t31 () (@list @t20 @t25 @t1)) % 0.36/0.59 (define @t32 () (lambda @t31 (_ (_ tptp.mnot (_ @t30 @t28)) @t1))) % 0.36/0.59 (define @t33 () (lambda @t31 (_ (_ @t30 @t25) @t1))) % 0.36/0.59 (define @t34 () (lambda @t31 (_ (_ (_ tptp.mor @t28) @t20) @t1))) % 0.36/0.59 (define @t35 () (lambda @t31 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t20) @t25)) (_ (_ tptp.mimplies @t25) @t20)) @t1))) % 0.36/0.59 (define @t36 () (lambda @t31 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t20) @t25)) @t1))) % 0.36/0.59 (define @t37 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.36/0.59 (define @t38 () (_ @t37 @t14)) % 0.36/0.59 (define @t39 () (lambda (@list @t37 @t15) (forall (@list @t14) (_ @t38 @t15)))) % 0.36/0.59 (define @t40 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.59 (define @t41 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.36/0.59 (define @t42 () (_ @t41 @t40)) % 0.36/0.59 (define @t43 () (_ @t42 @t15)) % 0.36/0.59 (define @t44 () (@list @t40)) % 0.36/0.59 (define @t45 () (forall @t44 @t43)) % 0.36/0.59 (define @t46 () (@list @t41 @t15)) % 0.36/0.59 (define @t47 () (lambda @t46 @t45)) % 0.36/0.59 (define @t48 () (lambda (@list @t37 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t14 @t1) (_ (_ tptp.mnot @t38) @t1)))) @t1))) % 0.36/0.59 (define @t49 () (lambda (@list @t41 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t40 @t1) (_ (_ tptp.mnot @t42) @t1)))) @t1))) % 0.36/0.59 (define @t50 () (@list @t15)) % 0.36/0.59 (define @t51 () (lambda @t50 true)) % 0.36/0.59 (define @t52 () (@var "V" $$unsorted)) % 0.36/0.59 (define @t53 () (_ @t20 @t52)) % 0.36/0.59 (define @t54 () (_ (_ @t3 @t15) @t52)) % 0.36/0.59 (define @t55 () (not @t54)) % 0.36/0.59 (define @t56 () (or @t55 @t53)) % 0.36/0.59 (define @t57 () (@list @t52)) % 0.36/0.59 (define @t58 () (forall @t57 @t56)) % 0.36/0.59 (define @t59 () (@list @t3 @t20 @t15)) % 0.36/0.59 (define @t60 () (lambda @t59 @t58)) % 0.36/0.59 (define @t61 () (lambda (@list @t3 @t20 @t1) (_ (_ tptp.mnot (_ @t4 @t29)) @t1))) % 0.36/0.59 (define @t62 () (@var "S" $$unsorted)) % 0.36/0.59 (define @t63 () (_ @t3 @t62)) % 0.36/0.59 (define @t64 () (@list @t62)) % 0.36/0.59 (define @t65 () (lambda @t10 (forall @t64 (_ @t63 @t62)))) % 0.36/0.59 (define @t66 () (@var "T" $$unsorted)) % 0.36/0.59 (define @t67 () (_ @t3 @t66)) % 0.36/0.59 (define @t68 () (_ @t63 @t66)) % 0.36/0.59 (define @t69 () (lambda @t10 (forall (@list @t62 @t66) (=> @t68 (_ @t67 @t62))))) % 0.36/0.59 (define @t70 () (@list @t66)) % 0.36/0.59 (define @t71 () (lambda @t10 (forall @t64 (exists @t70 @t68)))) % 0.36/0.59 (define @t72 () (@var "U" $$unsorted)) % 0.36/0.59 (define @t73 () (_ @t63 @t72)) % 0.36/0.59 (define @t74 () (_ @t67 @t72)) % 0.36/0.59 (define @t75 () (@list @t62 @t66 @t72)) % 0.36/0.59 (define @t76 () (lambda @t10 (forall @t75 (=> (and @t68 @t74) @t73)))) % 0.36/0.59 (define @t77 () (and @t68 @t73)) % 0.36/0.59 (define @t78 () (lambda @t10 (forall @t75 (=> @t77 @t74)))) % 0.36/0.59 (define @t79 () (= @t66 @t72)) % 0.36/0.59 (define @t80 () (lambda @t10 (forall @t75 (=> @t77 @t79)))) % 0.36/0.59 (define @t81 () (@list @t72)) % 0.36/0.59 (define @t82 () (lambda @t10 (forall @t64 (exists @t70 (and @t68 (forall @t81 (=> @t73 @t79))))))) % 0.36/0.59 (define @t83 () (_ @t3 @t72)) % 0.36/0.59 (define @t84 () (_ @t83 @t66)) % 0.36/0.59 (define @t85 () (lambda @t10 (forall @t75 (=> @t68 (exists @t81 (and @t73 @t84)))))) % 0.36/0.59 (define @t86 () (lambda @t10 (forall @t75 (=> @t77 (or @t74 @t79 @t84))))) % 0.36/0.59 (define @t87 () (lambda @t10 (forall @t75 (=> @t77 (exists @t57 (and (_ @t67 @t52) (_ @t83 @t52))))))) % 0.36/0.59 (define @t88 () (forall @t50 @t21)) % 0.36/0.59 (define @t89 () (@list @t20)) % 0.36/0.59 (define @t90 () (lambda @t89 @t88)) % 0.36/0.59 (define @t91 () (lambda @t89 (forall @t50 @t22))) % 0.36/0.59 (define @t92 () (lambda @t89 (exists @t50 @t21))) % 0.36/0.59 (define @t93 () (lambda @t89 (exists @t50 @t22))) % 0.36/0.59 (define @t94 () (@var "BOUND_VARIABLE_8497" $$unsorted)) % 0.36/0.59 (define @t95 () (@var "BOUND_VARIABLE_8495" (-> $$unsorted Bool))) % 0.36/0.59 (define @t96 () (_ @t95 @t94)) % 0.36/0.59 (define @t97 () (not (_ @t3 @t15 @t94))) % 0.36/0.59 (define @t98 () (_ @t40 @t52)) % 0.36/0.59 (define @t99 () (not @t98)) % 0.36/0.59 (define @t100 () (_ @t3 @t15 @t52)) % 0.36/0.59 (define @t101 () (not @t100)) % 0.36/0.59 (define @t102 () (not (forall @t57 (or @t101 @t99 (_ @t95 @t52))))) % 0.36/0.59 (define @t103 () (forall @t57 (or @t101 @t98))) % 0.36/0.59 (define @t104 () (not @t103)) % 0.36/0.59 (define @t105 () (or @t104 @t102 @t97 @t96)) % 0.36/0.59 (define @t106 () (forall (@list @t3 @t15 @t40 @t95 @t94) @t105)) % 0.36/0.59 (define @t107 () (forall (@list @t15 @t40 @t95 @t94) @t105)) % 0.36/0.59 (define @t108 () (@list @t40 @t95 @t94)) % 0.36/0.59 (define @t109 () (forall @t108 @t105)) % 0.36/0.59 (define @t110 () (lambda @t50 @t109)) % 0.36/0.59 (define @t111 () (_ @t110 @t15)) % 0.36/0.59 (define @t112 () (forall @t50 @t111)) % 0.36/0.59 (define @t113 () (_ @t20 @t15)) % 0.36/0.59 (define @t114 () (lambda @t89 (forall @t50 @t113))) % 0.36/0.59 (define @t115 () (or @t102 @t97 @t96)) % 0.36/0.59 (define @t116 () (or @t104 @t115)) % 0.36/0.59 (define @t117 () (forall @t108 @t116)) % 0.36/0.59 (define @t118 () (@list @t95 @t94)) % 0.36/0.59 (define @t119 () (forall @t118 @t116)) % 0.36/0.59 (define @t120 () (forall @t118 @t115)) % 0.36/0.59 (define @t121 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 0.36/0.59 (define @t122 () (@var "BOUND_VARIABLE_8473" (-> $$unsorted Bool))) % 0.36/0.59 (define @t123 () (or @t104 @t120)) % 0.36/0.59 (define @t124 () (_ @t122 @t121)) % 0.36/0.59 (define @t125 () (not (_ @t3 @t15 @t121))) % 0.36/0.59 (define @t126 () (_ @t122 @t52)) % 0.36/0.59 (define @t127 () (@list @t122 @t121)) % 0.36/0.59 (define @t128 () (or @t104 (forall @t127 (or (not (forall @t57 (or @t101 @t99 @t126))) @t125 @t124)))) % 0.36/0.59 (define @t129 () (not (_ @t3 @t1 @t121))) % 0.36/0.59 (define @t130 () (_ @t5 @t52)) % 0.36/0.59 (define @t131 () (not @t130)) % 0.36/0.59 (define @t132 () (not (_ @t3 @t1 @t52))) % 0.36/0.59 (define @t133 () (forall @t57 (or @t132 @t130))) % 0.36/0.59 (define @t134 () (not @t133)) % 0.36/0.59 (define @t135 () (_ @t40 @t121)) % 0.36/0.59 (define @t136 () (@list @t40 @t121)) % 0.36/0.59 (define @t137 () (forall @t136 (or (not (forall @t57 (or @t132 @t131 @t98))) @t129 @t135))) % 0.36/0.59 (define @t138 () (or @t134 @t137)) % 0.36/0.59 (define @t139 () (lambda @t8 @t138)) % 0.36/0.59 (define @t140 () (forall @t44 (_ @t139 @t40 @t15))) % 0.36/0.59 (define @t141 () (lambda @t50 @t140)) % 0.36/0.59 (define @t142 () (_ @t41 @t40 @t15)) % 0.36/0.59 (define @t143 () (lambda @t46 (forall @t44 @t142))) % 0.36/0.59 (define @t144 () (not (forall @t57 (or @t101 @t131 @t98)))) % 0.36/0.59 (define @t145 () (or @t144 @t125 @t135)) % 0.36/0.59 (define @t146 () (forall @t57 (or @t101 @t130))) % 0.36/0.59 (define @t147 () (not @t146)) % 0.36/0.59 (define @t148 () (or @t125 @t135)) % 0.36/0.59 (define @t149 () (or @t144 @t148)) % 0.36/0.59 (define @t150 () (forall @t136 @t149)) % 0.36/0.59 (define @t151 () (@list @t121)) % 0.36/0.59 (define @t152 () (forall @t151 @t149)) % 0.36/0.59 (define @t153 () (forall @t151 @t148)) % 0.36/0.59 (define @t154 () (or @t144 @t153)) % 0.36/0.59 (define @t155 () (or @t144 @t103)) % 0.36/0.59 (define @t156 () (forall @t44 @t155)) % 0.36/0.59 (define @t157 () (or @t147 @t156)) % 0.36/0.59 (define @t158 () (or @t147 @t155)) % 0.36/0.59 (define @t159 () (or @t144 @t147 @t103)) % 0.36/0.59 (define @t160 () (_ @t2 @t52)) % 0.36/0.59 (define @t161 () (forall @t57 (or @t132 @t160))) % 0.36/0.59 (define @t162 () (forall @t57 (or @t132 @t131 @t160))) % 0.36/0.59 (define @t163 () (not @t162)) % 0.36/0.59 (define @t164 () (or @t163 @t134 @t161)) % 0.36/0.59 (define @t165 () (lambda @t6 @t164)) % 0.36/0.59 (define @t166 () (_ @t165 @t40 @t15)) % 0.36/0.59 (define @t167 () (forall @t44 @t166)) % 0.36/0.59 (define @t168 () (lambda @t50 @t167)) % 0.36/0.59 (define @t169 () (@list @t1)) % 0.36/0.59 (define @t170 () (or @t134 @t161)) % 0.36/0.59 (define @t171 () (lambda @t169 @t170)) % 0.36/0.59 (define @t172 () (_ @t171 @t1)) % 0.36/0.59 (define @t173 () (or @t163 @t172)) % 0.36/0.59 (define @t174 () (lambda @t169 @t173)) % 0.36/0.59 (define @t175 () (_ @t25 @t1)) % 0.36/0.59 (define @t176 () (@list @t25 @t1)) % 0.36/0.59 (define @t177 () (lambda @t50 (forall @t57 (or @t101 @t160)))) % 0.36/0.59 (define @t178 () (_ @t177 @t1)) % 0.36/0.59 (define @t179 () (or @t134 @t178)) % 0.36/0.59 (define @t180 () (lambda @t169 @t179)) % 0.36/0.59 (define @t181 () (_ @t20 @t52)) % 0.36/0.59 (define @t182 () (forall @t57 (or @t101 @t181))) % 0.36/0.59 (define @t183 () (lambda @t23 @t182)) % 0.36/0.59 (define @t184 () (_ (lambda @t59 @t182) @t3)) % 0.36/0.59 (define @t185 () (lambda @t50 @t146)) % 0.36/0.59 (define @t186 () (_ @t185 @t1)) % 0.36/0.59 (define @t187 () (not @t186)) % 0.36/0.59 (define @t188 () (or @t187 @t175)) % 0.36/0.59 (define @t189 () (lambda @t176 @t188)) % 0.36/0.59 (define @t190 () (or (not (_ @t20 @t1)) @t175)) % 0.36/0.59 (define @t191 () (lambda @t31 @t190)) % 0.36/0.59 (define @t192 () (lambda @t50 (forall @t57 (or @t101 @t131 @t160)))) % 0.36/0.59 (define @t193 () (_ @t192 @t1)) % 0.36/0.59 (define @t194 () (not @t193)) % 0.36/0.59 (define @t195 () (or @t194 @t175)) % 0.36/0.59 (define @t196 () (lambda @t176 @t195)) % 0.36/0.59 (define @t197 () (_ @t2 @t52)) % 0.36/0.59 (define @t198 () (_ @t5 @t52)) % 0.36/0.59 (define @t199 () (not @t198)) % 0.36/0.59 (define @t200 () (or @t101 @t199 @t197)) % 0.36/0.59 (define @t201 () (or @t199 @t197)) % 0.36/0.59 (define @t202 () (not (_ @t5 @t1))) % 0.36/0.59 (define @t203 () (lambda @t169 (or @t202 (_ @t2 @t1)))) % 0.36/0.59 (define @t204 () (_ @t203 @t52)) % 0.36/0.59 (define @t205 () (or @t101 @t204)) % 0.36/0.59 (define @t206 () (forall @t57 @t205)) % 0.36/0.59 (define @t207 () (lambda @t50 @t206)) % 0.36/0.59 (define @t208 () (lambda @t176 (or @t202 @t175))) % 0.36/0.59 (define @t209 () (_ @t191 @t5)) % 0.36/0.59 (define @t210 () (lambda @t6 (_ (_ (_ @t191 (_ @t184 (_ @t209 @t2))) (_ (_ @t191 (_ @t184 @t5)) (_ @t184 @t2))) @t1))) % 0.36/0.59 (define @t211 () (lambda @t8 (_ (_ @t143 @t210) @t1))) % 0.36/0.59 (define @t212 () (forall @t10 (_ @t114 (_ @t143 @t211)))) % 0.36/0.59 (define @t213 () (or @t22 @t26)) % 0.36/0.59 (define @t214 () (lambda @t50 @t213)) % 0.36/0.59 (define @t215 () (@list @t25 @t15)) % 0.36/0.59 (define @t216 () (lambda @t50 @t22)) % 0.36/0.59 (define @t217 () (_ @t216 @t15)) % 0.36/0.59 (define @t218 () (or @t217 @t26)) % 0.36/0.59 (define @t219 () (lambda @t215 @t218)) % 0.36/0.59 (define @t220 () (@quantifiers_skolemize @t106 4)) % 0.36/0.59 (define @t221 () (@quantifiers_skolemize @t106 1)) % 0.36/0.59 (define @t222 () (@quantifiers_skolemize @t106 0)) % 0.36/0.59 (define @t223 () (_ @t222 @t221 @t220)) % 0.36/0.59 (define @t224 () (@quantifiers_skolemize @t106 3)) % 0.36/0.59 (define @t225 () (_ @t224 @t220)) % 0.36/0.59 (define @t226 () (not @t223)) % 0.36/0.59 (define @t227 () (@quantifiers_skolemize @t106 2)) % 0.36/0.59 (define @t228 () (_ @t227 @t52)) % 0.36/0.59 (define @t229 () (not (_ @t222 @t221 @t52))) % 0.36/0.59 (define @t230 () (forall @t57 (or @t229 (not @t228) (_ @t224 @t52)))) % 0.36/0.59 (define @t231 () (not @t230)) % 0.36/0.59 (define @t232 () (forall @t57 (or @t229 @t228))) % 0.36/0.59 (define @t233 () (not @t232)) % 0.36/0.59 (define @t234 () (or @t233 @t231 @t226 @t225)) % 0.36/0.59 (define @t235 () (@list true)) % 0.36/0.59 (define @t236 () (@list @t234)) % 0.36/0.59 (define @t237 () (@list @t220)) % 0.36/0.59 (define @t238 () (_ @t227 @t220)) % 0.36/0.59 (define @t239 () (or @t226 @t238)) % 0.36/0.59 (define @t240 () (not @t238)) % 0.36/0.59 (define @t241 () (or @t226 @t240 @t225)) % 0.36/0.59 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.36/0.59 (assume @p2 @t12) % 0.36/0.59 (assume @p3 true) % 0.36/0.59 (step @p4 (= tptp.meq_ind @t16) :rule refl :args (@t16)) % 0.36/0.59 (step @p5 (= tptp.meq_prop @t19) :rule refl :args (@t19)) % 0.36/0.59 (step @p6 (= tptp.mnot @t24) :rule refl :args (@t24)) % 0.36/0.59 (step @p7 (= tptp.mor @t27) :rule refl :args (@t27)) % 0.36/0.59 (step @p8 (= tptp.mand @t32) :rule refl :args (@t32)) % 0.36/0.59 (step @p9 (= tptp.mimplies @t33) :rule refl :args (@t33)) % 0.36/0.59 (step @p10 (= tptp.mimplied @t34) :rule refl :args (@t34)) % 0.36/0.59 (step @p11 (= tptp.mequiv @t35) :rule refl :args (@t35)) % 0.36/0.59 (step @p12 (= tptp.mxor @t36) :rule refl :args (@t36)) % 0.36/0.59 (step @p13 (= tptp.mforall_ind @t39) :rule refl :args (@t39)) % 0.36/0.59 (step @p14 (= tptp.mforall_prop @t47) :rule refl :args (@t47)) % 0.36/0.59 (step @p15 (= tptp.mexists_ind @t48) :rule refl :args (@t48)) % 0.36/0.59 (step @p16 (= tptp.mexists_prop @t49) :rule refl :args (@t49)) % 0.36/0.59 (step @p17 (= tptp.mtrue @t51) :rule refl :args (@t51)) % 0.36/0.59 (step @p18 (= tptp.mbox @t60) :rule refl :args (@t60)) % 0.36/0.59 (step @p19 (= tptp.mdia @t61) :rule refl :args (@t61)) % 0.36/0.59 (step @p20 (= tptp.mreflexive @t65) :rule refl :args (@t65)) % 0.36/0.59 (step @p21 (= tptp.msymmetric @t69) :rule refl :args (@t69)) % 0.36/0.59 (step @p22 (= tptp.mserial @t71) :rule refl :args (@t71)) % 0.36/0.59 (step @p23 (= tptp.mtransitive @t76) :rule refl :args (@t76)) % 0.36/0.59 (step @p24 (= tptp.meuclidean @t78) :rule refl :args (@t78)) % 0.36/0.59 (step @p25 (= tptp.mpartially_functional @t80) :rule refl :args (@t80)) % 0.36/0.59 (step @p26 (= tptp.mfunctional @t82) :rule refl :args (@t82)) % 0.36/0.59 (step @p27 (= tptp.mweakly_dense @t85) :rule refl :args (@t85)) % 0.36/0.59 (step @p28 (= tptp.mweakly_connected @t86) :rule refl :args (@t86)) % 0.36/0.59 (step @p29 (= tptp.mweakly_directed @t87) :rule refl :args (@t87)) % 0.36/0.59 (step @p30 (= tptp.mvalid @t90) :rule refl :args (@t90)) % 0.36/0.59 (step @p31 (= tptp.minvalid @t91) :rule refl :args (@t91)) % 0.36/0.59 (step @p32 (= tptp.msatisfiable @t92) :rule refl :args (@t92)) % 0.36/0.59 (step @p33 (= tptp.mcountersatisfiable @t93) :rule refl :args (@t93)) % 0.36/0.59 (step @p34 :rule quant-merge-prenex :args ((= (forall @t10 @t107) @t106))) % 0.36/0.59 (step @p35 :rule quant-merge-prenex :args ((= (forall @t50 @t109) @t107))) % 0.36/0.59 (step @p36 :rule beta-reduce :args ((= @t111 @t109))) % 0.36/0.59 (step @p37 :rule cong :premises (@p36) :args (@t112)) % 0.36/0.59 (step @p38 :rule trans :premises (@p37 @p35)) % 0.36/0.59 (step @p39 :rule beta-reduce :args ((= (_ @t114 @t110) @t112))) % 0.36/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.36/0.59 (step @p41 :rule aci_norm :args ((= @t116 @t105))) % 0.36/0.59 (step @p42 :rule cong :premises (@p41) :args (@t117)) % 0.36/0.59 (step @p43 :rule quant-merge-prenex :args ((= (forall @t44 @t119) @t117))) % 0.36/0.59 (step @p44 :rule alpha_equiv :args (@t120 (@list @t95 @t94) (@list @t122 @t121))) % 0.36/0.59 (step @p45 :rule refl :args (@t104)) % 0.36/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t123)) % 0.36/0.59 (step @p47 :rule quant-miniscope-or :args ((= @t119 @t123))) % 0.36/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.59 (step @p49 :rule symm :premises (@p48)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49) :args ((forall @t44 @t128))) % 0.36/0.59 (step @p51 :rule trans :premises (@p50 @p43)) % 0.36/0.59 (step @p52 :rule trans :premises (@p51 @p42)) % 0.36/0.59 (step @p53 :rule beta-reduce :args ((= (_ (lambda @t8 (or @t134 (forall @t127 (or (not (forall @t57 (or @t132 @t131 @t126))) @t129 @t124)))) @t40 @t15) @t128))) % 0.36/0.59 (step @p54 :rule refl :args (@t15)) % 0.36/0.59 (step @p55 :rule refl :args (@t40)) % 0.36/0.59 (step @p56 :rule alpha_equiv :args (@t137 (@list @t40) (@list @t122))) % 0.36/0.59 (step @p57 :rule refl :args (@t134)) % 0.36/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t138)) % 0.36/0.59 (step @p59 :rule cong :premises (@p58) :args (@t139)) % 0.36/0.59 (step @p60 :rule ho_cong :premises (@p59 @p55 @p54)) % 0.36/0.59 (step @p61 :rule trans :premises (@p60 @p53)) % 0.36/0.59 (step @p62 :rule cong :premises (@p61) :args (@t140)) % 0.36/0.59 (step @p63 :rule trans :premises (@p62 @p52)) % 0.36/0.59 (step @p64 :rule cong :premises (@p63) :args (@t141)) % 0.36/0.59 (step @p65 :rule beta-reduce :args ((= (_ @t143 @t139) @t141))) % 0.36/0.59 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.59 (step @p67 :rule beta-reduce :args ((= (_ (lambda @t50 (or @t147 (forall @t136 @t145))) @t1) @t138))) % 0.36/0.59 (step @p68 :rule refl :args (@t1)) % 0.36/0.59 (step @p69 :rule aci_norm :args ((= @t149 @t145))) % 0.36/0.59 (step @p70 :rule cong :premises (@p69) :args (@t150)) % 0.36/0.59 (step @p71 :rule quant-merge-prenex :args ((= (forall @t44 @t152) @t150))) % 0.36/0.59 (step @p72 :rule alpha_equiv :args (@t153 (@list @t121) (@list @t52))) % 0.36/0.59 (step @p73 :rule refl :args (@t144)) % 0.36/0.59 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t154)) % 0.36/0.59 (step @p75 :rule quant-miniscope-or :args ((= @t152 @t154))) % 0.36/0.59 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.59 (step @p77 :rule symm :premises (@p76)) % 0.36/0.59 (step @p78 :rule cong :premises (@p77) :args (@t156)) % 0.36/0.59 (step @p79 :rule trans :premises (@p78 @p71)) % 0.36/0.59 (step @p80 :rule trans :premises (@p79 @p70)) % 0.36/0.59 (step @p81 :rule refl :args (@t147)) % 0.36/0.59 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t157)) % 0.36/0.59 (step @p83 :rule quant-miniscope-or :args ((= (forall @t44 @t158) @t157))) % 0.36/0.59 (step @p84 :rule aci_norm :args ((= @t159 @t158))) % 0.36/0.59 (step @p85 :rule cong :premises (@p84) :args ((forall @t44 @t159))) % 0.36/0.59 (step @p86 :rule trans :premises (@p85 @p83)) % 0.36/0.59 (step @p87 :rule trans :premises (@p86 @p82)) % 0.36/0.59 (step @p88 :rule beta-reduce :args ((= @t166 @t159))) % 0.36/0.59 (step @p89 :rule cong :premises (@p88) :args (@t167)) % 0.36/0.59 (step @p90 :rule trans :premises (@p89 @p87)) % 0.36/0.59 (step @p91 :rule cong :premises (@p90) :args (@t168)) % 0.36/0.59 (step @p92 :rule beta-reduce :args ((= (_ @t143 @t165) @t168))) % 0.36/0.59 (step @p93 :rule trans :premises (@p92 @p91)) % 0.36/0.59 (step @p94 :rule beta-reduce :args ((= (_ (lambda @t169 @t164) @t1) @t164))) % 0.36/0.59 (step @p95 :rule aci_norm :args ((= (or @t163 @t170) @t164))) % 0.36/0.59 (step @p96 :rule beta-reduce :args ((= @t172 @t170))) % 0.36/0.59 (step @p97 :rule refl :args (@t163)) % 0.36/0.59 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t173)) % 0.36/0.59 (step @p99 :rule trans :premises (@p98 @p95)) % 0.36/0.59 (step @p100 :rule cong :premises (@p99) :args (@t174)) % 0.36/0.59 (step @p101 :rule beta-reduce :args ((= (_ (lambda @t176 (or @t163 @t175)) @t171) @t174))) % 0.36/0.59 (step @p102 :rule trans :premises (@p101 @p100)) % 0.36/0.59 (step @p103 :rule beta-reduce :args ((= @t178 @t161))) % 0.36/0.59 (step @p104 :rule refl :args (@t134)) % 0.36/0.59 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t179)) % 0.36/0.59 (step @p106 :rule cong :premises (@p105) :args (@t180)) % 0.36/0.59 (step @p107 :rule beta-reduce :args ((= (_ (lambda @t176 (or @t134 @t175)) @t177) @t180))) % 0.36/0.59 (step @p108 :rule trans :premises (@p107 @p106)) % 0.36/0.59 (step @p109 :rule beta-reduce :args ((= (_ @t183 @t2) @t177))) % 0.36/0.59 (step @p110 :rule refl :args (@t2)) % 0.36/0.59 (step @p111 :rule beta-reduce :args ((= @t184 @t183))) % 0.36/0.59 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.36/0.59 (step @p113 :rule trans :premises (@p112 @p109)) % 0.36/0.59 (step @p114 :rule refl :args (@t175)) % 0.36/0.59 (step @p115 :rule beta-reduce :args ((= @t186 @t133))) % 0.36/0.59 (step @p116 :rule cong :premises (@p115) :args (@t187)) % 0.36/0.59 (step @p117 :rule nary_cong :premises (@p116 @p114) :args (@t188)) % 0.36/0.59 (step @p118 :rule cong :premises (@p117) :args (@t189)) % 0.36/0.59 (step @p119 :rule beta-reduce :args ((= (_ @t191 @t185) @t189))) % 0.36/0.59 (step @p120 :rule trans :premises (@p119 @p118)) % 0.36/0.59 (step @p121 :rule beta-reduce :args ((= (_ @t183 @t5) @t185))) % 0.36/0.59 (step @p122 :rule refl :args (@t5)) % 0.36/0.59 (step @p123 :rule ho_cong :premises (@p111 @p122)) % 0.36/0.59 (step @p124 :rule trans :premises (@p123 @p121)) % 0.36/0.59 (step @p125 :rule refl :args (@t191)) % 0.36/0.59 (step @p126 :rule ho_cong :premises (@p125 @p124)) % 0.36/0.59 (step @p127 :rule trans :premises (@p126 @p120)) % 0.36/0.59 (step @p128 :rule ho_cong :premises (@p127 @p113)) % 0.36/0.59 (step @p129 :rule trans :premises (@p128 @p108)) % 0.36/0.59 (step @p130 :rule beta-reduce :args ((= @t193 @t162))) % 0.36/0.59 (step @p131 :rule cong :premises (@p130) :args (@t194)) % 0.36/0.59 (step @p132 :rule nary_cong :premises (@p131 @p114) :args (@t195)) % 0.36/0.59 (step @p133 :rule cong :premises (@p132) :args (@t196)) % 0.36/0.59 (step @p134 :rule beta-reduce :args ((= (_ @t191 @t192) @t196))) % 0.36/0.59 (step @p135 :rule trans :premises (@p134 @p133)) % 0.36/0.59 (step @p136 :rule refl :args (@t160)) % 0.36/0.59 (step @p137 :rule refl :args (@t197)) % 0.36/0.59 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t197 @t160))) % 0.36/0.59 (step @p139 :rule symm :premises (@p138)) % 0.36/0.59 (step @p140 :rule eq_resolve :premises 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(@p217 @p214)) % 0.36/0.59 (step @p219 :rule ho_cong :premises (@p218 @p208)) % 0.36/0.59 (step @p220 :rule trans :premises (@p219 @p207)) % 0.36/0.59 (step @p221 :rule ho_cong :premises (@p220 @p68)) % 0.36/0.59 (step @p222 :rule trans :premises (@p221 @p206)) % 0.36/0.59 (step @p223 :rule refl :args (@t20)) % 0.36/0.59 (step @p224 :rule ho_cong :premises (@p6 @p223)) % 0.36/0.59 (step @p225 :rule ho_cong :premises (@p7 @p224)) % 0.36/0.59 (step @p226 :rule ho_cong :premises (@p225 @p208)) % 0.36/0.59 (step @p227 :rule ho_cong :premises (@p226 @p68)) % 0.36/0.59 (step @p228 :rule trans :premises (@p227 @p222)) % 0.36/0.59 (step @p229 :rule cong :premises (@p228) :args (@t33)) % 0.36/0.59 (step @p230 :rule trans :premises (@p9 @p229)) % 0.36/0.59 (step @p231 :rule ho_cong :premises (@p230 @p205)) % 0.36/0.59 (step @p232 :rule ho_cong :premises (@p231 @p204)) % 0.36/0.59 (step @p233 :rule ho_cong :premises (@p230 @p122)) % 0.36/0.59 (step @p234 :rule ho_cong :premises (@p233 @p110)) % 0.36/0.59 (step @p235 :rule ho_cong :premises (@p203 @p234)) % 0.36/0.59 (step @p236 :rule ho_cong :premises (@p230 @p235)) % 0.36/0.59 (step @p237 :rule ho_cong :premises (@p236 @p232)) % 0.36/0.59 (step @p238 :rule ho_cong :premises (@p237 @p68)) % 0.36/0.59 (step @p239 :rule cong :premises (@p238) :args (@t7)) % 0.36/0.59 (step @p240 :rule refl :args (@t142)) % 0.36/0.59 (step @p241 :rule refl :args (@t43)) % 0.36/0.59 (step @p242 :rule cong :premises (@p241 @p240) :args ((= @t43 @t142))) % 0.36/0.59 (step @p243 :rule symm :premises (@p242)) % 0.36/0.59 (step @p244 :rule eq_resolve :premises (@p241 @p243)) % 0.36/0.59 (step @p245 :rule cong :premises (@p244) :args (@t45)) % 0.36/0.59 (step @p246 :rule cong :premises (@p245) :args (@t47)) % 0.36/0.59 (step @p247 :rule trans :premises (@p14 @p246)) % 0.36/0.59 (step @p248 :rule ho_cong :premises (@p247 @p239)) % 0.36/0.59 (step @p249 :rule ho_cong :premises (@p248 @p68)) % 0.36/0.59 (step @p250 :rule cong :premises (@p249) :args 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:args (@t223)) % 0.36/0.59 (step @p267 :rule refl :args (@t234)) % 0.36/0.59 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or @t234 (not @t226)))) % 0.36/0.59 (step @p269 :rule cnf_or_neg :args (@t234 2)) % 0.36/0.59 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.36/0.59 (step @p271 :rule reordering :premises (@p270) :args ((or @t223 @t234))) % 0.36/0.59 (step @p272 :rule chain_m_resolution :premises (@p271 @p265) :args (@t223 @t235 @t236)) % 0.36/0.59 (step @p273 :rule cnf_or_neg :args (@t234 3)) % 0.36/0.59 (step @p274 :rule chain_m_resolution :premises (@p273 @p265) :args ((not @t225) @t235 @t236)) % 0.36/0.59 (step @p275 :rule bool-double-not-elim :args (@t230)) % 0.36/0.59 (step @p276 :rule nary_cong :premises (@p267 @p275) :args ((or @t234 (not @t231)))) % 0.36/0.59 (step @p277 :rule cnf_or_neg :args (@t234 1)) % 0.36/0.59 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 0.36/0.59 (step @p279 :rule reordering :premises (@p278) :args ((or @t230 @t234))) % 0.36/0.59 (step @p280 :rule chain_m_resolution :premises (@p279 @p265) :args (@t230 @t235 @t236)) % 0.36/0.59 (step @p281 :rule instantiate :premises (@p280) :args (@t237)) % 0.36/0.59 (step @p282 :rule bool-double-not-elim :args (@t232)) % 0.36/0.59 (step @p283 :rule nary_cong :premises (@p267 @p282) :args ((or @t234 (not @t233)))) % 0.36/0.59 (step @p284 :rule cnf_or_neg :args (@t234 0)) % 0.36/0.59 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 0.36/0.59 (step @p286 :rule reordering :premises (@p285) :args ((or @t232 @t234))) % 0.36/0.59 (step @p287 :rule chain_m_resolution :premises (@p286 @p265) :args (@t232 @t235 @t236)) % 0.36/0.59 (step @p288 :rule instantiate :premises (@p287) :args (@t237)) % 0.36/0.59 (step @p289 :rule cnf_or_pos :args (@t239)) % 0.36/0.59 (step @p290 :rule reordering :premises (@p289) :args ((or @t226 @t238 (not @t239)))) % 0.36/0.59 (step @p291 :rule chain_m_resolution :premises (@p290 @p272 @p288) :args (@t238 (@list false false) (@list @t223 @t239))) % 0.36/0.59 (step @p292 :rule cnf_or_pos :args (@t241)) % 0.36/0.59 (step @p293 :rule reordering :premises (@p292) :args ((or @t226 @t225 @t240 (not @t241)))) % 0.36/0.59 (step @p294 false :rule chain_m_resolution :premises (@p293 @p291 @p281 @p274 @p272) :args (false (@list false false true false) (@list @t238 @t241 @t225 @t223))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------