%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO460^2 : 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 : n011.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 09:12:47 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO460^2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 00:10:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.36/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-sort tptp.mu 0) % 0.36/0.61 (declare-const tptp.rel_d (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.r (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.q (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.36/0.61 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.36/0.61 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.61 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.36/0.61 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.36/0.61 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.36/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.61 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.61 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.61 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.36/0.61 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.61 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.61 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.36/0.61 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.36/0.61 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.36/0.61 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.36/0.61 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.36/0.61 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.36/0.61 (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)))))))) % 0.36/0.61 (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)))))))) % 0.36/0.61 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.36/0.61 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.36/0.61 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.36/0.61 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.36/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.36/0.61 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.36/0.61 (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))))))))))))) % 0.36/0.61 (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)))))) % 0.36/0.61 (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))))))) % 0.36/0.61 (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)))))) % 0.36/0.61 (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))))))) % 0.36/0.61 (define tptp.mbox_d () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_d _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.36/0.61 (define tptp.mdia_d () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_d (_ tptp.mnot _let_2))) _let_1))))) % 0.36/0.61 (define @t1 () (_ tptp.mand tptp.p)) % 0.36/0.61 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ (_ tptp.mor (_ tptp.mdia_d (_ @t1 tptp.q))) (_ tptp.mdia_d (_ @t1 tptp.r)))) (_ tptp.mdia_d tptp.p))))) % 0.36/0.61 (define @t3 () (@var "Y" tptp.mu)) % 0.36/0.61 (define @t4 () (@var "X" tptp.mu)) % 0.36/0.61 (define @t5 () (@var "W" $$unsorted)) % 0.36/0.61 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.36/0.61 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.61 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.61 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.36/0.61 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.61 (define @t11 () (_ @t10 @t5)) % 0.36/0.61 (define @t12 () (not @t11)) % 0.36/0.61 (define @t13 () (@list @t10 @t5)) % 0.36/0.61 (define @t14 () (lambda @t13 @t12)) % 0.36/0.61 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.36/0.61 (define @t16 () (_ @t15 @t5)) % 0.36/0.61 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.36/0.61 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.61 (define @t19 () (_ tptp.mnot @t15)) % 0.36/0.61 (define @t20 () (_ tptp.mnot @t10)) % 0.36/0.61 (define @t21 () (_ tptp.mor @t20)) % 0.36/0.61 (define @t22 () (@list @t10 @t15 @t18)) % 0.36/0.61 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.36/0.61 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.36/0.61 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.36/0.61 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.36/0.61 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.36/0.61 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.36/0.61 (define @t29 () (_ @t28 @t4)) % 0.36/0.61 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.36/0.61 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.61 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.36/0.61 (define @t33 () (_ @t32 @t31)) % 0.36/0.61 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.36/0.61 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.36/0.61 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.36/0.61 (define @t37 () (@list @t5)) % 0.36/0.61 (define @t38 () (lambda @t37 true)) % 0.36/0.61 (define @t39 () (@var "V" $$unsorted)) % 0.36/0.61 (define @t40 () (_ @t10 @t39)) % 0.36/0.61 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.61 (define @t42 () (@list @t39)) % 0.36/0.61 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.36/0.61 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.36/0.61 (define @t45 () (@var "S" $$unsorted)) % 0.36/0.61 (define @t46 () (_ @t41 @t45)) % 0.36/0.61 (define @t47 () (@list @t45)) % 0.36/0.61 (define @t48 () (@list @t41)) % 0.36/0.61 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.36/0.61 (define @t50 () (@var "T" $$unsorted)) % 0.36/0.61 (define @t51 () (_ @t41 @t50)) % 0.36/0.61 (define @t52 () (_ @t46 @t50)) % 0.36/0.61 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.36/0.61 (define @t54 () (@list @t50)) % 0.36/0.61 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.36/0.61 (define @t56 () (@var "U" $$unsorted)) % 0.36/0.61 (define @t57 () (_ @t46 @t56)) % 0.36/0.61 (define @t58 () (_ @t51 @t56)) % 0.36/0.61 (define @t59 () (@list @t45 @t50 @t56)) % 0.36/0.61 (define @t60 () (lambda @t48 (forall @t59 (=> (and @t52 @t58) @t57)))) % 0.36/0.61 (define @t61 () (and @t52 @t57)) % 0.36/0.61 (define @t62 () (lambda @t48 (forall @t59 (=> @t61 @t58)))) % 0.36/0.61 (define @t63 () (= @t50 @t56)) % 0.36/0.61 (define @t64 () (lambda @t48 (forall @t59 (=> @t61 @t63)))) % 0.36/0.61 (define @t65 () (@list @t56)) % 0.36/0.61 (define @t66 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t65 (=> @t57 @t63))))))) % 0.36/0.61 (define @t67 () (_ @t41 @t56)) % 0.36/0.61 (define @t68 () (_ @t67 @t50)) % 0.36/0.61 (define @t69 () (lambda @t48 (forall @t59 (=> @t52 (exists @t65 (and @t57 @t68)))))) % 0.36/0.61 (define @t70 () (lambda @t48 (forall @t59 (=> @t61 (or @t58 @t63 @t68))))) % 0.36/0.61 (define @t71 () (lambda @t48 (forall @t59 (=> @t61 (exists @t42 (and (_ @t51 @t39) (_ @t67 @t39))))))) % 0.36/0.61 (define @t72 () (forall @t37 @t11)) % 0.36/0.61 (define @t73 () (@list @t10)) % 0.36/0.61 (define @t74 () (lambda @t73 @t72)) % 0.36/0.61 (define @t75 () (lambda @t73 (forall @t37 @t12))) % 0.36/0.61 (define @t76 () (lambda @t73 (exists @t37 @t11))) % 0.36/0.61 (define @t77 () (lambda @t73 (exists @t37 @t12))) % 0.36/0.61 (define @t78 () (_ (_ tptp.rel_d @t5) @t39)) % 0.36/0.61 (define @t79 () (not @t78)) % 0.36/0.61 (define @t80 () (or @t79 @t40)) % 0.36/0.61 (define @t81 () (forall @t42 @t80)) % 0.36/0.61 (define @t82 () (lambda @t13 @t81)) % 0.36/0.61 (define @t83 () (@list @t10 @t18)) % 0.36/0.61 (define @t84 () (lambda @t83 (_ (_ tptp.mnot (_ tptp.mbox_d @t20)) @t18))) % 0.36/0.61 (define @t85 () (tptp.p @t39)) % 0.36/0.61 (define @t86 () (not @t85)) % 0.36/0.61 (define @t87 () (tptp.rel_d @t5 @t39)) % 0.36/0.61 (define @t88 () (not @t87)) % 0.36/0.61 (define @t89 () (not (forall @t42 (or @t88 @t86)))) % 0.36/0.61 (define @t90 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 0.36/0.61 (define @t91 () (or (not (tptp.rel_d @t5 @t90)) (not (tptp.p @t90)) (not (tptp.r @t90)))) % 0.36/0.61 (define @t92 () (@var "BOUND_VARIABLE_8533" $$unsorted)) % 0.36/0.61 (define @t93 () (or (not (tptp.rel_d @t5 @t92)) (not (tptp.p @t92)) (not (tptp.q @t92)))) % 0.36/0.61 (define @t94 () (and @t93 @t91)) % 0.36/0.61 (define @t95 () (or @t94 @t89)) % 0.36/0.61 (define @t96 () (forall (@list @t5 @t92 @t90) @t95)) % 0.36/0.61 (define @t97 () (@list @t92 @t90)) % 0.36/0.61 (define @t98 () (forall @t97 @t95)) % 0.36/0.61 (define @t99 () (forall (@list @t90) @t91)) % 0.36/0.61 (define @t100 () (@list @t39)) % 0.36/0.61 (define @t101 () (forall @t97 @t91)) % 0.36/0.61 (define @t102 () (forall (@list @t92) @t93)) % 0.36/0.61 (define @t103 () (forall @t97 @t93)) % 0.36/0.61 (define @t104 () (and @t103 @t101)) % 0.36/0.61 (define @t105 () (forall @t97 @t94)) % 0.36/0.61 (define @t106 () (or @t105 @t89)) % 0.36/0.61 (define @t107 () (tptp.r @t39)) % 0.36/0.61 (define @t108 () (not @t107)) % 0.36/0.61 (define @t109 () (forall @t42 (or @t88 @t86 @t108))) % 0.36/0.61 (define @t110 () (tptp.q @t39)) % 0.36/0.61 (define @t111 () (not @t110)) % 0.36/0.61 (define @t112 () (forall @t42 (or @t88 @t86 @t111))) % 0.36/0.61 (define @t113 () (not @t109)) % 0.36/0.61 (define @t114 () (not @t112)) % 0.36/0.61 (define @t115 () (or @t114 @t113)) % 0.36/0.61 (define @t116 () (or (not @t115) @t89)) % 0.36/0.61 (define @t117 () (not (tptp.rel_d @t18 @t39))) % 0.36/0.61 (define @t118 () (not (forall @t42 (or @t117 @t86)))) % 0.36/0.61 (define @t119 () (not (forall @t42 (or @t117 @t86 @t108)))) % 0.36/0.61 (define @t120 () (not (forall @t42 (or @t117 @t86 @t111)))) % 0.36/0.61 (define @t121 () (or @t120 @t119)) % 0.36/0.61 (define @t122 () (not @t121)) % 0.36/0.61 (define @t123 () (@list @t18)) % 0.36/0.61 (define @t124 () (lambda @t123 (or @t122 @t118))) % 0.36/0.61 (define @t125 () (_ @t124 @t5)) % 0.36/0.61 (define @t126 () (forall @t37 @t125)) % 0.36/0.61 (define @t127 () (_ @t10 @t5)) % 0.36/0.61 (define @t128 () (lambda @t73 (forall @t37 @t127))) % 0.36/0.61 (define @t129 () (lambda @t123 @t118)) % 0.36/0.61 (define @t130 () (_ @t129 @t18)) % 0.36/0.61 (define @t131 () (or @t122 @t130)) % 0.36/0.61 (define @t132 () (lambda @t123 @t131)) % 0.36/0.61 (define @t133 () (_ @t15 @t18)) % 0.36/0.61 (define @t134 () (@list @t15 @t18)) % 0.36/0.61 (define @t135 () (_ @t10 @t39)) % 0.36/0.61 (define @t136 () (not @t135)) % 0.36/0.61 (define @t137 () (not (forall @t42 (or @t117 @t136)))) % 0.36/0.61 (define @t138 () (lambda @t83 @t137)) % 0.36/0.61 (define @t139 () (_ @t138 tptp.p)) % 0.36/0.61 (define @t140 () (lambda @t37 @t115)) % 0.36/0.61 (define @t141 () (_ @t140 @t18)) % 0.36/0.61 (define @t142 () (not @t141)) % 0.36/0.61 (define @t143 () (or @t142 @t133)) % 0.36/0.61 (define @t144 () (lambda @t134 @t143)) % 0.36/0.61 (define @t145 () (not (_ @t10 @t18))) % 0.36/0.61 (define @t146 () (or @t145 @t133)) % 0.36/0.61 (define @t147 () (lambda @t22 @t146)) % 0.36/0.61 (define @t148 () (lambda @t123 @t119)) % 0.36/0.61 (define @t149 () (_ @t148 @t5)) % 0.36/0.61 (define @t150 () (or @t114 @t149)) % 0.36/0.61 (define @t151 () (lambda @t37 @t150)) % 0.36/0.61 (define @t152 () (@list @t15 @t5)) % 0.36/0.61 (define @t153 () (_ tptp.r @t39)) % 0.36/0.61 (define @t154 () (not @t153)) % 0.36/0.61 (define @t155 () (_ tptp.p @t39)) % 0.36/0.61 (define @t156 () (not @t155)) % 0.36/0.61 (define @t157 () (or @t117 @t156 @t154)) % 0.36/0.61 (define @t158 () (or @t156 @t154)) % 0.36/0.61 (define @t159 () (not (_ tptp.p @t18))) % 0.36/0.61 (define @t160 () (lambda @t123 (not (or @t159 (not (_ tptp.r @t18)))))) % 0.36/0.61 (define @t161 () (_ @t160 @t39)) % 0.36/0.61 (define @t162 () (not @t161)) % 0.36/0.61 (define @t163 () (or @t117 @t162)) % 0.36/0.61 (define @t164 () (forall @t42 @t163)) % 0.36/0.61 (define @t165 () (not @t164)) % 0.36/0.61 (define @t166 () (lambda @t123 @t165)) % 0.36/0.61 (define @t167 () (not @t133)) % 0.36/0.61 (define @t168 () (lambda @t134 (not (or @t159 @t167)))) % 0.36/0.61 (define @t169 () (not (or @t145 @t167))) % 0.36/0.61 (define @t170 () (_ (lambda @t22 @t169) tptp.p)) % 0.36/0.61 (define @t171 () (lambda @t123 @t120)) % 0.36/0.61 (define @t172 () (_ @t171 @t5)) % 0.36/0.61 (define @t173 () (or @t172 @t16)) % 0.36/0.61 (define @t174 () (lambda @t152 @t173)) % 0.36/0.61 (define @t175 () (_ tptp.q @t39)) % 0.36/0.61 (define @t176 () (not @t175)) % 0.36/0.61 (define @t177 () (or @t117 @t156 @t176)) % 0.36/0.61 (define @t178 () (or @t156 @t176)) % 0.36/0.61 (define @t179 () (lambda @t123 (not (or @t159 (not (_ tptp.q @t18)))))) % 0.36/0.61 (define @t180 () (_ @t179 @t39)) % 0.36/0.61 (define @t181 () (not @t180)) % 0.36/0.61 (define @t182 () (or @t117 @t181)) % 0.36/0.61 (define @t183 () (forall @t42 @t182)) % 0.36/0.61 (define @t184 () (not @t183)) % 0.36/0.61 (define @t185 () (lambda @t123 @t184)) % 0.36/0.61 (define @t186 () (forall @t42 (or @t88 @t136))) % 0.36/0.61 (define @t187 () (lambda @t37 @t186)) % 0.36/0.61 (define @t188 () (_ @t187 @t5)) % 0.36/0.61 (define @t189 () (not @t188)) % 0.36/0.61 (define @t190 () (lambda @t37 @t189)) % 0.36/0.61 (define @t191 () (not @t40)) % 0.36/0.61 (define @t192 () (or @t88 @t191)) % 0.36/0.61 (define @t193 () (lambda @t37 @t12)) % 0.36/0.61 (define @t194 () (_ @t193 @t39)) % 0.36/0.61 (define @t195 () (or @t88 @t194)) % 0.36/0.61 (define @t196 () (forall @t42 @t195)) % 0.36/0.61 (define @t197 () (lambda @t37 @t196)) % 0.36/0.61 (define @t198 () (lambda @t13 (forall @t42 (or @t88 @t135)))) % 0.36/0.61 (define @t199 () (not @t16)) % 0.36/0.61 (define @t200 () (or @t12 @t199)) % 0.36/0.61 (define @t201 () (lambda @t37 @t200)) % 0.36/0.61 (define @t202 () (_ @t201 @t5)) % 0.36/0.61 (define @t203 () (not @t202)) % 0.36/0.61 (define @t204 () (lambda @t37 @t203)) % 0.36/0.61 (define @t205 () (lambda @t37 @t199)) % 0.36/0.61 (define @t206 () (_ @t205 @t5)) % 0.36/0.61 (define @t207 () (or @t12 @t206)) % 0.36/0.61 (define @t208 () (lambda @t37 @t207)) % 0.36/0.61 (define @t209 () (or @t12 @t16)) % 0.36/0.61 (define @t210 () (lambda @t152 @t209)) % 0.36/0.61 (define @t211 () (_ @t193 @t5)) % 0.36/0.61 (define @t212 () (or @t211 @t16)) % 0.36/0.61 (define @t213 () (lambda @t152 @t212)) % 0.36/0.61 (define @t214 () (lambda @t37 @t209)) % 0.36/0.61 (define @t215 () (@quantifiers_skolemize @t96 0)) % 0.36/0.61 (define @t216 () (forall @t42 (or (not (tptp.rel_d @t215 @t39)) @t86))) % 0.36/0.61 (define @t217 () (not @t216)) % 0.36/0.61 (define @t218 () (@quantifiers_skolemize @t96 2)) % 0.36/0.61 (define @t219 () (tptp.p @t218)) % 0.36/0.61 (define @t220 () (not @t219)) % 0.36/0.61 (define @t221 () (tptp.rel_d @t215 @t218)) % 0.36/0.61 (define @t222 () (not @t221)) % 0.36/0.61 (define @t223 () (or @t222 @t220 (not (tptp.r @t218)))) % 0.36/0.61 (define @t224 () (@quantifiers_skolemize @t96 1)) % 0.36/0.61 (define @t225 () (tptp.p @t224)) % 0.36/0.61 (define @t226 () (not @t225)) % 0.36/0.61 (define @t227 () (tptp.rel_d @t215 @t224)) % 0.36/0.61 (define @t228 () (not @t227)) % 0.36/0.61 (define @t229 () (or @t228 @t226 (not (tptp.q @t224)))) % 0.36/0.61 (define @t230 () (and @t229 @t223)) % 0.36/0.61 (define @t231 () (or @t230 @t217)) % 0.36/0.61 (define @t232 () (@list true)) % 0.36/0.61 (define @t233 () (@list @t231)) % 0.36/0.61 (define @t234 () (or @t222 @t220)) % 0.36/0.61 (define @t235 () (@list false false false)) % 0.36/0.61 (define @t236 () (@list @t229)) % 0.36/0.61 (define @t237 () (or @t228 @t226)) % 0.36/0.61 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.36/0.61 (assume @p2 (_ tptp.mserial tptp.rel_d)) % 0.36/0.61 (assume @p3 @t2) % 0.36/0.61 (assume @p4 true) % 0.36/0.61 (step @p5 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.36/0.61 (step @p6 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.36/0.61 (step @p7 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.36/0.61 (step @p8 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.36/0.61 (step @p9 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.36/0.61 (step @p10 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.36/0.61 (step @p11 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.36/0.61 (step @p12 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.36/0.61 (step @p13 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.36/0.61 (step @p14 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.36/0.61 (step @p15 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.36/0.61 (step @p16 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.36/0.61 (step @p17 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.36/0.61 (step @p18 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.36/0.61 (step @p19 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.36/0.61 (step @p20 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.36/0.61 (step @p21 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.36/0.61 (step @p22 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.36/0.61 (step @p23 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.36/0.61 (step @p24 (= tptp.mtransitive @t60) :rule refl :args (@t60)) % 0.36/0.61 (step @p25 (= tptp.meuclidean @t62) :rule refl :args (@t62)) % 0.36/0.61 (step @p26 (= tptp.mpartially_functional @t64) :rule refl :args (@t64)) % 0.36/0.61 (step @p27 (= tptp.mfunctional @t66) :rule refl :args (@t66)) % 0.36/0.61 (step @p28 (= tptp.mweakly_dense @t69) :rule refl :args (@t69)) % 0.36/0.61 (step @p29 (= tptp.mweakly_connected @t70) :rule refl :args (@t70)) % 0.36/0.61 (step @p30 (= tptp.mweakly_directed @t71) :rule refl :args (@t71)) % 0.36/0.61 (step @p31 (= tptp.mvalid @t74) :rule refl :args (@t74)) % 0.36/0.61 (step @p32 (= tptp.minvalid @t75) :rule refl :args (@t75)) % 0.36/0.61 (step @p33 (= tptp.msatisfiable @t76) :rule refl :args (@t76)) % 0.36/0.61 (step @p34 (= tptp.mcountersatisfiable @t77) :rule refl :args (@t77)) % 0.36/0.61 (step @p35 (= tptp.mbox_d @t82) :rule refl :args (@t82)) % 0.36/0.61 (step @p36 (= tptp.mdia_d @t84) :rule refl :args (@t84)) % 0.36/0.61 (step @p37 :rule quant-merge-prenex :args ((= (forall @t37 @t98) @t96))) % 0.36/0.61 (step @p38 :rule refl :args (@t89)) % 0.36/0.61 (step @p39 :rule alpha_equiv :args (@t99 (@list @t90) @t100)) % 0.36/0.61 (step @p40 :rule quant-unused-vars :args ((= @t101 @t99))) % 0.36/0.61 (step @p41 :rule trans :premises (@p40 @p39)) % 0.36/0.61 (step @p42 :rule alpha_equiv :args (@t102 (@list @t92) @t100)) % 0.36/0.61 (step @p43 :rule quant-unused-vars :args ((= @t103 @t102))) % 0.36/0.61 (step @p44 :rule trans :premises (@p43 @p42)) % 0.36/0.61 (step @p45 :rule nary_cong :premises (@p44 @p41) :args (@t104)) % 0.36/0.61 (step @p46 :rule quant-miniscope-and :args ((= @t105 @t104))) % 0.36/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.36/0.61 (step @p48 :rule nary_cong :premises (@p47 @p38) :args (@t106)) % 0.36/0.61 (step @p49 :rule quant-miniscope-or :args ((= @t98 @t106))) % 0.36/0.61 (step @p50 :rule trans :premises (@p49 @p48)) % 0.36/0.61 (step @p51 :rule symm :premises (@p50)) % 0.36/0.61 (step @p52 :rule cong :premises (@p51) :args ((forall @t37 (or (and @t112 @t109) @t89)))) % 0.36/0.61 (step @p53 :rule trans :premises (@p52 @p37)) % 0.36/0.61 (step @p54 :rule bool-double-not-elim :args (@t109)) % 0.36/0.61 (step @p55 :rule bool-double-not-elim :args (@t112)) % 0.36/0.61 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((and (not @t114) (not @t113)))) % 0.36/0.61 (step @p57 :rule bool-or-de-morgan :args (@t114 @t113 false)) % 0.36/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.61 (step @p59 :rule nary_cong :premises (@p58 @p38) :args (@t116)) % 0.36/0.61 (step @p60 :rule cong :premises (@p59) :args ((forall @t37 @t116))) % 0.36/0.61 (step @p61 :rule trans :premises (@p60 @p53)) % 0.36/0.61 (step @p62 :rule beta-reduce :args ((= @t125 @t116))) % 0.36/0.61 (step @p63 :rule cong :premises (@p62) :args (@t126)) % 0.36/0.61 (step @p64 :rule trans :premises (@p63 @p61)) % 0.36/0.61 (step @p65 :rule beta-reduce :args ((= (_ @t128 @t124) @t126))) % 0.36/0.61 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.61 (step @p67 :rule beta-reduce :args ((= @t130 @t118))) % 0.36/0.61 (step @p68 :rule refl :args (@t122)) % 0.36/0.61 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t131)) % 0.36/0.61 (step @p70 :rule cong :premises (@p69) :args (@t132)) % 0.36/0.61 (step @p71 :rule beta-reduce :args ((= (_ (lambda @t134 (or @t122 @t133)) @t129) @t132))) % 0.36/0.61 (step @p72 :rule trans :premises (@p71 @p70)) % 0.36/0.61 (step @p73 :rule beta-reduce :args ((= @t139 @t129))) % 0.36/0.61 (step @p74 :rule refl :args (@t133)) % 0.36/0.61 (step @p75 :rule beta-reduce :args ((= @t141 @t121))) % 0.36/0.61 (step @p76 :rule cong :premises (@p75) :args (@t142)) % 0.36/0.61 (step @p77 :rule nary_cong :premises (@p76 @p74) :args (@t143)) % 0.36/0.61 (step @p78 :rule cong :premises (@p77) :args (@t144)) % 0.36/0.61 (step @p79 :rule beta-reduce :args ((= (_ @t147 @t140) @t144))) % 0.36/0.61 (step @p80 :rule trans :premises (@p79 @p78)) % 0.36/0.61 (step @p81 :rule beta-reduce :args ((= @t149 @t113))) % 0.36/0.61 (step @p82 :rule refl :args (@t114)) % 0.36/0.61 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t150)) % 0.36/0.61 (step @p84 :rule cong :premises (@p83) :args (@t151)) % 0.36/0.61 (step @p85 :rule beta-reduce :args ((= (_ (lambda @t152 (or @t114 @t16)) @t148) @t151))) % 0.36/0.61 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.61 (step @p87 :rule refl :args (@t107)) % 0.36/0.61 (step @p88 :rule refl :args (@t153)) % 0.36/0.61 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t153 @t107))) % 0.36/0.61 (step @p90 :rule symm :premises (@p89)) % 0.36/0.61 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.36/0.61 (step @p92 :rule cong :premises (@p91) :args (@t154)) % 0.36/0.61 (step @p93 :rule refl :args (@t85)) % 0.36/0.61 (step @p94 :rule refl :args (@t155)) % 0.36/0.61 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t155 @t85))) % 0.36/0.61 (step @p96 :rule symm :premises (@p95)) % 0.36/0.61 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.36/0.61 (step @p98 :rule cong :premises (@p97) :args (@t156)) % 0.36/0.61 (step @p99 :rule refl :args (@t117)) % 0.36/0.61 (step @p100 :rule nary_cong :premises (@p99 @p98 @p92) :args (@t157)) % 0.36/0.61 (step @p101 :rule cong :premises (@p100) :args ((forall @t42 @t157))) % 0.36/0.61 (step @p102 :rule aci_norm :args ((= (or @t117 @t158) @t157))) % 0.36/0.61 (step @p103 :rule bool-double-not-elim :args (@t158)) % 0.36/0.61 (step @p104 :rule beta-reduce :args ((= @t161 (not @t158)))) % 0.36/0.61 (step @p105 :rule cong :premises (@p104) :args (@t162)) % 0.36/0.61 (step @p106 :rule trans :premises (@p105 @p103)) % 0.36/0.61 (step @p107 :rule refl :args (@t117)) % 0.36/0.61 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t163)) % 0.36/0.61 (step @p109 :rule trans :premises (@p108 @p102)) % 0.36/0.61 (step @p110 :rule cong :premises (@p109) :args (@t164)) % 0.36/0.61 (step @p111 :rule trans :premises (@p110 @p101)) % 0.36/0.61 (step @p112 :rule cong :premises (@p111) :args (@t165)) % 0.36/0.61 (step @p113 :rule cong :premises (@p112) :args (@t166)) % 0.36/0.61 (step @p114 :rule beta-reduce :args ((= (_ @t138 @t160) @t166))) % 0.36/0.61 (step @p115 :rule trans :premises (@p114 @p113)) % 0.36/0.61 (step @p116 :rule beta-reduce :args ((= (_ @t168 tptp.r) @t160))) % 0.36/0.61 (step @p117 :rule refl :args (tptp.r)) % 0.36/0.61 (step @p118 :rule beta-reduce :args ((= @t170 @t168))) % 0.36/0.61 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 0.36/0.61 (step @p120 :rule trans :premises (@p119 @p116)) % 0.36/0.61 (step @p121 :rule refl :args (@t138)) % 0.36/0.61 (step @p122 :rule ho_cong :premises (@p121 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(step @p244 :rule ho_cong :premises (@p243 @p236)) % 0.36/0.61 (step @p245 :rule trans :premises (@p244 @p235)) % 0.36/0.61 (step @p246 :rule ho_cong :premises (@p200 @p245)) % 0.36/0.61 (step @p247 :rule trans :premises (@p246 @p229)) % 0.36/0.61 (step @p248 :rule ho_cong :premises (@p247 @p173)) % 0.36/0.61 (step @p249 :rule trans :premises (@p248 @p224)) % 0.36/0.61 (step @p250 :rule refl :args (@t15)) % 0.36/0.61 (step @p251 :rule ho_cong :premises (@p7 @p250)) % 0.36/0.61 (step @p252 :rule ho_cong :premises (@p8 @p206)) % 0.36/0.61 (step @p253 :rule ho_cong :premises (@p252 @p251)) % 0.36/0.61 (step @p254 :rule ho_cong :premises (@p7 @p253)) % 0.36/0.61 (step @p255 :rule ho_cong :premises (@p254 @p173)) % 0.36/0.61 (step @p256 :rule trans :premises (@p255 @p249)) % 0.36/0.61 (step @p257 :rule cong :premises (@p256) :args (@t23)) % 0.36/0.61 (step @p258 :rule trans :premises (@p9 @p257)) % 0.36/0.61 (step @p259 :rule ho_cong :premises (@p258 @p171)) % 0.36/0.61 (step @p260 :rule 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% 0.36/0.61 (step @p276 :rule trans :premises (@p10 @p275)) % 0.36/0.61 (step @p277 :rule ho_cong :premises (@p276 @p265)) % 0.36/0.61 (step @p278 :rule ho_cong :premises (@p277 @p223)) % 0.36/0.61 (step @p279 :rule refl :args (@t127)) % 0.36/0.61 (step @p280 :rule refl :args (@t11)) % 0.36/0.61 (step @p281 :rule cong :premises (@p280 @p279) :args ((= @t11 @t127))) % 0.36/0.61 (step @p282 :rule symm :premises (@p281)) % 0.36/0.61 (step @p283 :rule eq_resolve :premises (@p280 @p282)) % 0.36/0.61 (step @p284 :rule cong :premises (@p283) :args (@t72)) % 0.36/0.61 (step @p285 :rule cong :premises (@p284) :args (@t74)) % 0.36/0.61 (step @p286 :rule trans :premises (@p31 @p285)) % 0.36/0.61 (step @p287 :rule ho_cong :premises (@p286 @p278)) % 0.36/0.61 (step @p288 :rule cong :premises (@p287) :args (@t2)) % 0.36/0.61 (step @p289 :rule trans :premises (@p288 @p170)) % 0.36/0.61 (step @p290 :rule eq_resolve :premises (@p3 @p289)) % 0.36/0.61 (step @p291 :rule skolemize :premises (@p290)) % 0.36/0.61 (step @p292 :rule bool-double-not-elim :args (@t216)) % 0.36/0.61 (step @p293 :rule refl :args (@t231)) % 0.36/0.61 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t231 (not @t217)))) % 0.36/0.61 (step @p295 :rule cnf_or_neg :args (@t231 1)) % 0.36/0.61 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.36/0.61 (step @p297 :rule reordering :premises (@p296) :args ((or @t216 @t231))) % 0.36/0.61 (step @p298 :rule chain_m_resolution :premises (@p297 @p291) :args (@t216 @t232 @t233)) % 0.36/0.61 (step @p299 :rule instantiate :premises (@p298) :args ((@list @t224))) % 0.36/0.61 (step @p300 :rule bool-double-not-elim :args (@t221)) % 0.36/0.61 (step @p301 :rule refl :args (@t223)) % 0.36/0.61 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t223 (not @t222)))) % 0.36/0.61 (step @p303 :rule cnf_or_neg :args (@t223 0)) % 0.36/0.61 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.36/0.61 (step @p305 :rule reordering :premises (@p304) :args ((or @t221 @t223))) % 0.36/0.61 (step @p306 :rule bool-double-not-elim :args (@t219)) % 0.36/0.61 (step @p307 :rule nary_cong :premises (@p301 @p306) :args ((or @t223 (not @t220)))) % 0.36/0.61 (step @p308 :rule cnf_or_neg :args (@t223 1)) % 0.36/0.61 (step @p309 :rule eq_resolve :premises (@p308 @p307)) % 0.36/0.61 (step @p310 :rule reordering :premises (@p309) :args ((or @t219 @t223))) % 0.36/0.61 (step @p311 :rule instantiate :premises (@p298) :args ((@list @t218))) % 0.36/0.61 (step @p312 :rule cnf_or_pos :args (@t234)) % 0.36/0.61 (step @p313 :rule reordering :premises (@p312) :args ((or @t222 @t220 (not @t234)))) % 0.36/0.61 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p310 @p305) :args (@t223 @t235 (@list @t234 @t219 @t221))) % 0.36/0.61 (step @p315 :rule cnf_or_neg :args (@t231 0)) % 0.36/0.61 (step @p316 :rule chain_m_resolution :premises (@p315 @p291) :args ((not @t230) @t232 @t233)) % 0.36/0.61 (step @p317 :rule cnf_and_neg :args (@t230)) % 0.36/0.61 (step @p318 :rule chain_m_resolution :premises (@p317 @p316 @p314) :args ((not @t229) (@list true false) (@list @t230 @t223))) % 0.36/0.61 (step @p319 :rule bool-double-not-elim :args (@t227)) % 0.36/0.61 (step @p320 :rule refl :args (@t229)) % 0.36/0.61 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t229 (not @t228)))) % 0.36/0.61 (step @p322 :rule cnf_or_neg :args (@t229 0)) % 0.36/0.61 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 0.36/0.61 (step @p324 :rule reordering :premises (@p323) :args ((or @t227 @t229))) % 0.36/0.61 (step @p325 :rule chain_m_resolution :premises (@p324 @p318) :args (@t227 @t232 @t236)) % 0.36/0.61 (step @p326 :rule bool-double-not-elim :args (@t225)) % 0.36/0.61 (step @p327 :rule nary_cong :premises (@p320 @p326) :args ((or @t229 (not @t226)))) % 0.36/0.61 (step @p328 :rule cnf_or_neg :args (@t229 1)) % 0.36/0.61 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 0.36/0.61 (step @p330 :rule reordering :premises (@p329) :args ((or @t225 @t229))) % 0.36/0.61 (step @p331 :rule chain_m_resolution :premises (@p330 @p318) :args (@t225 @t232 @t236)) % 0.36/0.61 (step @p332 :rule cnf_or_pos :args (@t237)) % 0.36/0.61 (step @p333 :rule reordering :premises (@p332) :args ((or @t228 @t226 (not @t237)))) % 0.36/0.61 (step @p334 false :rule chain_m_resolution :premises (@p333 @p331 @p325 @p299) :args (false @t235 (@list @t225 @t227 @t237))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------