%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO418^1 : 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 : n022.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 09:12:37 AM UTC 2026 % Result : Theorem 0.60s 0.84s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO418^1 : 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 % 0.16/0.35 % Computer : n022.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:07:09 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.60/0.84 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.60/0.84 % SZS status Theorem % 0.60/0.84 % SZS output start Proof % 0.60/0.84 ( % 0.60/0.84 (declare-sort $$unsorted 0) % 0.60/0.84 (declare-sort tptp.mu 0) % 0.60/0.84 (declare-const tptp.rel_d (-> $$unsorted $$unsorted Bool)) % 0.60/0.84 (declare-const tptp.p (-> $$unsorted Bool)) % 0.60/0.84 (declare-const tptp.q (-> $$unsorted Bool)) % 0.60/0.84 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.60/0.84 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.60/0.84 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.60/0.84 (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)))))) % 0.60/0.84 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.60/0.85 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.60/0.85 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.60/0.85 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.60/0.85 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.60/0.85 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.60/0.85 (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))))))) % 0.60/0.85 (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))))))) % 0.60/0.85 (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)))))) % 0.60/0.85 (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)))))) % 0.60/0.85 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.60/0.85 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.60/0.85 (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)))))) % 0.60/0.85 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.60/0.85 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.60/0.85 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.60/0.85 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.60/0.85 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.60/0.85 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.60/0.85 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.60/0.85 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.60/0.85 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.60/0.85 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.60/0.85 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.60/0.85 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.60/0.85 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.60/0.85 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.60/0.85 (define tptp.mbox_d () (let ((_let_1 (@var "V" $$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)))))))) % 0.60/0.85 (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))))) % 0.60/0.85 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_d tptp.p)) (_ tptp.mdia_d (_ (_ tptp.mimplies tptp.q) tptp.p)))))) % 0.60/0.85 (define @t2 () (@var "Y" tptp.mu)) % 0.60/0.85 (define @t3 () (@var "X" tptp.mu)) % 0.60/0.85 (define @t4 () (@var "W" $$unsorted)) % 0.60/0.85 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.60/0.85 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.60/0.85 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.60/0.85 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.60/0.85 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.60/0.85 (define @t10 () (_ @t9 @t4)) % 0.60/0.85 (define @t11 () (not @t10)) % 0.60/0.85 (define @t12 () (@list @t9 @t4)) % 0.60/0.85 (define @t13 () (lambda @t12 @t11)) % 0.60/0.85 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.60/0.85 (define @t15 () (_ @t14 @t4)) % 0.60/0.85 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.60/0.85 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.60/0.85 (define @t18 () (_ tptp.mnot @t14)) % 0.60/0.85 (define @t19 () (_ tptp.mnot @t9)) % 0.60/0.85 (define @t20 () (_ tptp.mor @t19)) % 0.60/0.85 (define @t21 () (@list @t9 @t14 @t17)) % 0.60/0.85 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.60/0.85 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.60/0.85 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.60/0.85 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.60/0.85 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.60/0.85 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.60/0.85 (define @t28 () (_ @t27 @t3)) % 0.60/0.85 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.60/0.85 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.60/0.85 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.60/0.85 (define @t32 () (_ @t31 @t30)) % 0.60/0.85 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.60/0.85 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.60/0.85 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.60/0.85 (define @t36 () (@list @t4)) % 0.60/0.85 (define @t37 () (lambda @t36 true)) % 0.60/0.85 (define @t38 () (@var "V" $$unsorted)) % 0.60/0.85 (define @t39 () (_ @t9 @t38)) % 0.60/0.85 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.60/0.85 (define @t41 () (@list @t38)) % 0.60/0.85 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.60/0.85 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.60/0.85 (define @t44 () (@var "S" $$unsorted)) % 0.60/0.85 (define @t45 () (_ @t40 @t44)) % 0.60/0.85 (define @t46 () (@list @t44)) % 0.60/0.85 (define @t47 () (@list @t40)) % 0.60/0.85 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.60/0.85 (define @t49 () (@var "T" $$unsorted)) % 0.60/0.85 (define @t50 () (_ @t40 @t49)) % 0.60/0.85 (define @t51 () (_ @t45 @t49)) % 0.60/0.85 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.60/0.85 (define @t53 () (@list @t49)) % 0.60/0.85 (define @t54 () (exists @t53 @t51)) % 0.60/0.85 (define @t55 () (forall @t46 @t54)) % 0.60/0.85 (define @t56 () (lambda @t47 @t55)) % 0.60/0.85 (define @t57 () (@var "U" $$unsorted)) % 0.60/0.85 (define @t58 () (_ @t45 @t57)) % 0.60/0.85 (define @t59 () (_ @t50 @t57)) % 0.60/0.85 (define @t60 () (@list @t44 @t49 @t57)) % 0.60/0.85 (define @t61 () (lambda @t47 (forall @t60 (=> (and @t51 @t59) @t58)))) % 0.60/0.85 (define @t62 () (and @t51 @t58)) % 0.60/0.85 (define @t63 () (lambda @t47 (forall @t60 (=> @t62 @t59)))) % 0.60/0.85 (define @t64 () (= @t49 @t57)) % 0.60/0.85 (define @t65 () (lambda @t47 (forall @t60 (=> @t62 @t64)))) % 0.60/0.85 (define @t66 () (@list @t57)) % 0.60/0.85 (define @t67 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t66 (=> @t58 @t64))))))) % 0.60/0.85 (define @t68 () (_ @t40 @t57)) % 0.60/0.85 (define @t69 () (_ @t68 @t49)) % 0.60/0.85 (define @t70 () (lambda @t47 (forall @t60 (=> @t51 (exists @t66 (and @t58 @t69)))))) % 0.60/0.85 (define @t71 () (lambda @t47 (forall @t60 (=> @t62 (or @t59 @t64 @t69))))) % 0.60/0.85 (define @t72 () (lambda @t47 (forall @t60 (=> @t62 (exists @t41 (and (_ @t50 @t38) (_ @t68 @t38))))))) % 0.60/0.85 (define @t73 () (forall @t36 @t10)) % 0.60/0.85 (define @t74 () (@list @t9)) % 0.60/0.85 (define @t75 () (lambda @t74 @t73)) % 0.60/0.85 (define @t76 () (lambda @t74 (forall @t36 @t11))) % 0.60/0.85 (define @t77 () (lambda @t74 (exists @t36 @t10))) % 0.60/0.85 (define @t78 () (lambda @t74 (exists @t36 @t11))) % 0.60/0.85 (define @t79 () (_ (_ tptp.rel_d @t4) @t38)) % 0.60/0.85 (define @t80 () (not @t79)) % 0.60/0.85 (define @t81 () (or @t80 @t39)) % 0.60/0.85 (define @t82 () (forall @t41 @t81)) % 0.60/0.85 (define @t83 () (lambda @t12 @t82)) % 0.60/0.85 (define @t84 () (@list @t9 @t17)) % 0.60/0.85 (define @t85 () (lambda @t84 (_ (_ tptp.mnot (_ tptp.mbox_d @t19)) @t17))) % 0.60/0.85 (define @t86 () (tptp.p @t38)) % 0.60/0.85 (define @t87 () (tptp.q @t38)) % 0.60/0.85 (define @t88 () (and @t87 (not @t86))) % 0.60/0.85 (define @t89 () (tptp.rel_d @t4 @t38)) % 0.60/0.85 (define @t90 () (not @t89)) % 0.60/0.85 (define @t91 () (forall @t41 (or @t90 @t86))) % 0.60/0.85 (define @t92 () (or (not @t91) (not (forall @t41 (or @t90 @t88))))) % 0.60/0.85 (define @t93 () (not (tptp.rel_d @t17 @t38))) % 0.60/0.85 (define @t94 () (not (forall @t41 (or @t93 @t88)))) % 0.60/0.85 (define @t95 () (forall @t41 (or @t93 @t86))) % 0.60/0.85 (define @t96 () (not @t95)) % 0.60/0.85 (define @t97 () (@list @t17)) % 0.60/0.85 (define @t98 () (lambda @t97 (or @t96 @t94))) % 0.60/0.85 (define @t99 () (_ @t98 @t4)) % 0.60/0.85 (define @t100 () (forall @t36 @t99)) % 0.60/0.85 (define @t101 () (_ @t9 @t4)) % 0.60/0.85 (define @t102 () (lambda @t74 (forall @t36 @t101))) % 0.60/0.85 (define @t103 () (lambda @t97 @t94)) % 0.60/0.85 (define @t104 () (_ @t103 @t17)) % 0.60/0.85 (define @t105 () (or @t96 @t104)) % 0.60/0.85 (define @t106 () (lambda @t97 @t105)) % 0.60/0.85 (define @t107 () (_ @t14 @t17)) % 0.60/0.85 (define @t108 () (@list @t14 @t17)) % 0.60/0.85 (define @t109 () (_ tptp.p @t38)) % 0.60/0.85 (define @t110 () (not @t109)) % 0.60/0.85 (define @t111 () (_ tptp.q @t38)) % 0.60/0.85 (define @t112 () (and @t111 @t110)) % 0.60/0.85 (define @t113 () (or @t93 @t112)) % 0.60/0.85 (define @t114 () (not @t111)) % 0.60/0.85 (define @t115 () (or @t114 @t109)) % 0.60/0.85 (define @t116 () (or @t93 (not @t115))) % 0.60/0.85 (define @t117 () (not (_ tptp.q @t17))) % 0.60/0.85 (define @t118 () (lambda @t97 (or @t117 (_ tptp.p @t17)))) % 0.60/0.85 (define @t119 () (_ @t118 @t38)) % 0.60/0.85 (define @t120 () (not @t119)) % 0.60/0.85 (define @t121 () (or @t93 @t120)) % 0.60/0.85 (define @t122 () (forall @t41 @t121)) % 0.60/0.85 (define @t123 () (not @t122)) % 0.60/0.85 (define @t124 () (lambda @t97 @t123)) % 0.60/0.85 (define @t125 () (_ @t9 @t38)) % 0.60/0.85 (define @t126 () (not @t125)) % 0.60/0.85 (define @t127 () (not (forall @t41 (or @t93 @t126)))) % 0.60/0.85 (define @t128 () (lambda @t84 @t127)) % 0.60/0.85 (define @t129 () (lambda @t108 (or @t117 @t107))) % 0.60/0.85 (define @t130 () (or (not (_ @t9 @t17)) @t107)) % 0.60/0.85 (define @t131 () (lambda @t21 @t130)) % 0.60/0.85 (define @t132 () (_ @t131 tptp.q)) % 0.60/0.85 (define @t133 () (lambda @t36 @t91)) % 0.60/0.85 (define @t134 () (_ @t133 @t17)) % 0.60/0.85 (define @t135 () (not @t134)) % 0.60/0.85 (define @t136 () (or @t135 @t107)) % 0.60/0.85 (define @t137 () (lambda @t108 @t136)) % 0.60/0.85 (define @t138 () (lambda @t12 (forall @t41 (or @t90 @t125)))) % 0.60/0.85 (define @t139 () (_ @t138 tptp.p)) % 0.60/0.85 (define @t140 () (or @t11 @t15)) % 0.60/0.85 (define @t141 () (lambda @t36 @t140)) % 0.60/0.85 (define @t142 () (@list @t14 @t4)) % 0.60/0.85 (define @t143 () (lambda @t36 @t11)) % 0.60/0.85 (define @t144 () (_ @t143 @t4)) % 0.60/0.85 (define @t145 () (or @t144 @t15)) % 0.60/0.85 (define @t146 () (lambda @t142 @t145)) % 0.60/0.85 (define @t147 () (forall @t41 (or @t90 @t126))) % 0.60/0.85 (define @t148 () (lambda @t36 @t147)) % 0.60/0.85 (define @t149 () (_ @t148 @t4)) % 0.60/0.85 (define @t150 () (not @t149)) % 0.60/0.85 (define @t151 () (lambda @t36 @t150)) % 0.60/0.85 (define @t152 () (not @t39)) % 0.60/0.85 (define @t153 () (or @t90 @t152)) % 0.60/0.85 (define @t154 () (_ @t143 @t38)) % 0.60/0.85 (define @t155 () (or @t90 @t154)) % 0.60/0.85 (define @t156 () (forall @t41 @t155)) % 0.60/0.85 (define @t157 () (lambda @t36 @t156)) % 0.60/0.85 (define @t158 () (@quantifiers_skolemize (forall @t36 @t92) 0)) % 0.60/0.85 (define @t159 () (not (tptp.rel_d @t158 @t38))) % 0.60/0.85 (define @t160 () (forall @t41 (or @t159 @t86))) % 0.60/0.85 (define @t161 () (forall @t41 (or @t159 @t88))) % 0.60/0.85 (define @t162 () (not @t161)) % 0.60/0.85 (define @t163 () (not @t160)) % 0.60/0.85 (define @t164 () (or @t163 @t162)) % 0.60/0.85 (define @t165 () (@list true)) % 0.60/0.85 (define @t166 () (@list @t164)) % 0.60/0.85 (define @t167 () (forall @t53 (not (tptp.rel_d @t158 @t49)))) % 0.60/0.85 (define @t168 () (@quantifiers_skolemize @t167 0)) % 0.60/0.85 (define @t169 () (@list @t168)) % 0.60/0.85 (define @t170 () (_ @t40 @t44 @t49)) % 0.60/0.85 (define @t171 () (not @t51)) % 0.60/0.85 (define @t172 () (forall @t53 @t171)) % 0.60/0.85 (define @t173 () (not @t172)) % 0.60/0.85 (define @t174 () (tptp.rel_d @t158 @t168)) % 0.60/0.85 (define @t175 () (not @t167)) % 0.60/0.85 (define @t176 () (not @t174)) % 0.60/0.85 (define @t177 () (not @t176)) % 0.60/0.85 (define @t178 () (tptp.p @t168)) % 0.60/0.85 (define @t179 () (or @t176 @t178)) % 0.60/0.85 (define @t180 () (@list false false)) % 0.60/0.85 (define @t181 () (not @t178)) % 0.60/0.85 (define @t182 () (and (tptp.q @t168) @t181)) % 0.60/0.85 (define @t183 () (or @t176 @t182)) % 0.60/0.85 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.60/0.85 (assume @p2 (_ tptp.mserial tptp.rel_d)) % 0.60/0.85 (assume @p3 @t1) % 0.60/0.85 (assume @p4 true) % 0.60/0.85 (step @p5 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.60/0.85 (step @p6 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.60/0.85 (step @p7 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.60/0.85 (step @p8 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.60/0.85 (step @p9 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.60/0.85 (step @p10 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.60/0.85 (step @p11 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.60/0.85 (step @p12 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.60/0.85 (step @p13 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.60/0.85 (step @p14 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.60/0.85 (step @p15 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.60/0.85 (step @p16 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.60/0.85 (step @p17 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.60/0.85 (step @p18 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.60/0.85 (step @p19 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.60/0.85 (step @p20 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.60/0.85 (step @p21 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.60/0.85 (step @p22 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.60/0.85 (step @p23 (= tptp.mserial @t56) :rule refl :args (@t56)) % 0.60/0.85 (step @p24 (= tptp.mtransitive @t61) :rule refl :args (@t61)) % 0.60/0.85 (step @p25 (= tptp.meuclidean @t63) :rule refl :args (@t63)) % 0.60/0.85 (step @p26 (= tptp.mpartially_functional @t65) :rule refl :args (@t65)) % 0.60/0.85 (step @p27 (= tptp.mfunctional @t67) :rule refl :args (@t67)) % 0.60/0.85 (step @p28 (= tptp.mweakly_dense @t70) :rule refl :args (@t70)) % 0.60/0.85 (step @p29 (= tptp.mweakly_connected @t71) :rule refl :args (@t71)) % 0.60/0.85 (step @p30 (= tptp.mweakly_directed @t72) :rule refl :args (@t72)) % 0.60/0.85 (step @p31 (= tptp.mvalid @t75) :rule refl :args (@t75)) % 0.60/0.85 (step @p32 (= tptp.minvalid @t76) :rule refl :args (@t76)) % 0.60/0.85 (step @p33 (= tptp.msatisfiable @t77) :rule refl :args (@t77)) % 0.60/0.85 (step @p34 (= tptp.mcountersatisfiable @t78) :rule refl :args (@t78)) % 0.60/0.85 (step @p35 (= tptp.mbox_d @t83) :rule refl :args (@t83)) % 0.60/0.85 (step @p36 (= tptp.mdia_d @t85) :rule refl :args (@t85)) % 0.60/0.85 (step @p37 :rule beta-reduce :args ((= @t99 @t92))) % 0.60/0.85 (step @p38 :rule cong :premises (@p37) :args (@t100)) % 0.60/0.85 (step @p39 :rule beta-reduce :args ((= (_ @t102 @t98) @t100))) % 0.60/0.85 (step @p40 :rule trans :premises (@p39 @p38)) % 0.60/0.85 (step @p41 :rule beta-reduce :args ((= @t104 @t94))) % 0.60/0.85 (step @p42 :rule refl :args (@t96)) % 0.60/0.85 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t105)) % 0.60/0.85 (step @p44 :rule cong :premises (@p43) :args (@t106)) % 0.60/0.85 (step @p45 :rule beta-reduce :args ((= (_ (lambda @t108 (or @t96 @t107)) @t103) @t106))) % 0.60/0.85 (step @p46 :rule trans :premises (@p45 @p44)) % 0.60/0.85 (step @p47 :rule refl :args (@t86)) % 0.60/0.85 (step @p48 :rule refl :args (@t109)) % 0.60/0.85 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t109 @t86))) % 0.60/0.85 (step @p50 :rule symm :premises (@p49)) % 0.60/0.85 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.60/0.85 (step @p52 :rule cong :premises (@p51) :args (@t110)) % 0.60/0.85 (step @p53 :rule refl :args (@t87)) % 0.60/0.85 (step @p54 :rule refl :args (@t111)) % 0.60/0.85 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t111 @t87))) % 0.60/0.85 (step @p56 :rule symm :premises (@p55)) % 0.60/0.85 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.60/0.85 (step @p58 :rule nary_cong :premises (@p57 @p52) :args (@t112)) % 0.60/0.85 (step @p59 :rule refl :args (@t93)) % 0.60/0.85 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t113)) % 0.60/0.85 (step @p61 :rule cong :premises (@p60) :args ((forall @t41 @t113))) % 0.60/0.85 (step @p62 :rule refl :args (@t110)) % 0.60/0.85 (step @p63 :rule bool-double-not-elim :args (@t111)) % 0.60/0.85 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((and (not @t114) @t110))) % 0.60/0.85 (step @p65 :rule bool-or-de-morgan :args (@t114 @t109 false)) % 0.60/0.85 (step @p66 :rule trans :premises (@p65 @p64)) % 0.60/0.85 (step @p67 :rule nary_cong :premises (@p59 @p66) :args (@t116)) % 0.60/0.85 (step @p68 :rule cong :premises (@p67) :args ((forall @t41 @t116))) % 0.60/0.85 (step @p69 :rule trans :premises (@p68 @p61)) % 0.60/0.85 (step @p70 :rule beta-reduce :args ((= @t119 @t115))) % 0.60/0.85 (step @p71 :rule cong :premises (@p70) :args (@t120)) % 0.60/0.85 (step @p72 :rule refl :args (@t93)) % 0.60/0.85 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t121)) % 0.60/0.85 (step @p74 :rule cong :premises (@p73) :args (@t122)) % 0.60/0.85 (step @p75 :rule trans :premises (@p74 @p69)) % 0.60/0.85 (step @p76 :rule cong :premises (@p75) :args (@t123)) % 0.60/0.85 (step @p77 :rule cong :premises (@p76) :args (@t124)) % 0.60/0.85 (step @p78 :rule beta-reduce :args ((= (_ @t128 @t118) @t124))) % 0.60/0.85 (step @p79 :rule trans :premises (@p78 @p77)) % 0.60/0.85 (step @p80 :rule beta-reduce :args ((= (_ @t129 tptp.p) @t118))) % 0.60/0.85 (step @p81 :rule refl :args (tptp.p)) % 0.60/0.85 (step @p82 :rule beta-reduce :args ((= @t132 @t129))) % 0.60/0.85 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.60/0.85 (step @p84 :rule trans :premises (@p83 @p80)) % 0.60/0.85 (step @p85 :rule refl :args (@t128)) % 0.60/0.85 (step @p86 :rule ho_cong :premises (@p85 @p84)) % 0.60/0.85 (step @p87 :rule trans :premises (@p86 @p79)) % 0.60/0.85 (step @p88 :rule refl :args (@t107)) % 0.60/0.85 (step @p89 :rule beta-reduce :args ((= @t134 @t95))) % 0.60/0.85 (step @p90 :rule cong :premises (@p89) :args (@t135)) % 0.60/0.85 (step @p91 :rule nary_cong :premises (@p90 @p88) :args (@t136)) % 0.60/0.85 (step @p92 :rule cong :premises (@p91) :args (@t137)) % 0.60/0.85 (step @p93 :rule beta-reduce :args ((= (_ @t131 @t133) @t137))) % 0.60/0.85 (step @p94 :rule trans :premises (@p93 @p92)) % 0.60/0.85 (step @p95 :rule beta-reduce :args ((= @t139 @t133))) % 0.60/0.85 (step @p96 :rule refl :args (@t131)) % 0.60/0.85 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.60/0.85 (step @p98 :rule trans :premises (@p97 @p94)) % 0.60/0.85 (step @p99 :rule ho_cong :premises (@p98 @p87)) % 0.60/0.85 (step @p100 :rule trans :premises (@p99 @p46)) % 0.60/0.85 (step @p101 :rule refl :args (@t102)) % 0.60/0.85 (step @p102 :rule ho_cong :premises (@p101 @p100)) % 0.60/0.85 (step @p103 :rule trans :premises (@p102 @p40)) % 0.60/0.85 (step @p104 :rule cong :premises (@p103) :args ((not (_ @t102 (_ (_ @t131 @t139) (_ @t128 (_ @t132 tptp.p))))))) % 0.60/0.85 (step @p105 :rule refl :args (tptp.q)) % 0.60/0.85 (step @p106 :rule beta-reduce :args ((= (_ @t141 @t17) @t130))) % 0.60/0.85 (step @p107 :rule refl :args (@t17)) % 0.60/0.85 (step @p108 :rule beta-reduce :args ((= (_ (lambda @t142 @t140) @t14) @t141))) % 0.60/0.85 (step @p109 :rule refl :args (@t14)) % 0.60/0.85 (step @p110 :rule refl :args (@t15)) % 0.60/0.85 (step @p111 :rule beta-reduce :args ((= @t144 @t11))) % 0.60/0.85 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t145)) % 0.60/0.85 (step @p113 :rule cong :premises (@p112) :args (@t146)) % 0.60/0.85 (step @p114 :rule beta-reduce :args ((= (_ @t16 @t143) @t146))) % 0.60/0.85 (step @p115 :rule trans :premises (@p114 @p113)) % 0.60/0.85 (step @p116 :rule beta-reduce :args ((= (_ @t13 @t9) @t143))) % 0.60/0.85 (step @p117 :rule refl :args (@t16)) % 0.60/0.85 (step @p118 :rule ho_cong :premises (@p117 @p116)) % 0.60/0.85 (step @p119 :rule trans :premises (@p118 @p115)) % 0.60/0.85 (step @p120 :rule ho_cong :premises (@p119 @p109)) % 0.60/0.85 (step @p121 :rule trans :premises (@p120 @p108)) % 0.60/0.85 (step @p122 :rule ho_cong :premises (@p121 @p107)) % 0.60/0.85 (step @p123 :rule trans :premises (@p122 @p106)) % 0.60/0.85 (step @p124 :rule refl :args (@t9)) % 0.60/0.85 (step @p125 :rule ho_cong :premises (@p7 @p124)) % 0.60/0.85 (step @p126 :rule ho_cong :premises (@p8 @p125)) % 0.60/0.85 (step @p127 :rule ho_cong :premises (@p126 @p109)) % 0.60/0.85 (step @p128 :rule ho_cong :premises (@p127 @p107)) % 0.60/0.85 (step @p129 :rule trans :premises (@p128 @p123)) % 0.60/0.85 (step @p130 :rule cong :premises (@p129) :args (@t23)) % 0.60/0.85 (step @p131 :rule trans :premises (@p10 @p130)) % 0.60/0.85 (step @p132 :rule ho_cong :premises (@p131 @p105)) % 0.60/0.85 (step @p133 :rule ho_cong :premises (@p132 @p81)) % 0.60/0.85 (step @p134 :rule beta-reduce :args ((= (_ (lambda @t36 (not @t147)) @t17) @t127))) % 0.60/0.85 (step @p135 :rule beta-reduce :args ((= @t149 @t147))) % 0.60/0.85 (step @p136 :rule cong :premises (@p135) :args (@t150)) % 0.60/0.85 (step @p137 :rule cong :premises (@p136) :args (@t151)) % 0.60/0.85 (step @p138 :rule beta-reduce :args ((= (_ @t13 @t148) @t151))) % 0.60/0.85 (step @p139 :rule trans :premises (@p138 @p137)) % 0.60/0.85 (step @p140 :rule refl :args (@t125)) % 0.60/0.85 (step @p141 :rule refl :args (@t39)) % 0.60/0.85 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t39 @t125))) % 0.60/0.85 (step @p143 :rule symm :premises (@p142)) % 0.60/0.85 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 0.60/0.85 (step @p145 :rule cong :premises (@p144) :args (@t152)) % 0.60/0.85 (step @p146 :rule refl :args (@t90)) % 0.60/0.85 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t153)) % 0.60/0.85 (step @p148 :rule cong :premises (@p147) :args ((forall @t41 @t153))) % 0.60/0.85 (step @p149 :rule beta-reduce :args ((= @t154 @t152))) % 0.60/0.85 (step @p150 :rule refl :args (@t90)) % 0.60/0.85 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t155)) % 0.60/0.85 (step @p152 :rule cong :premises (@p151) :args (@t156)) % 0.60/0.85 (step @p153 :rule trans :premises (@p152 @p148)) % 0.60/0.85 (step @p154 :rule cong :premises (@p153) :args (@t157)) % 0.60/0.85 (step @p155 :rule beta-reduce :args ((= (_ @t138 @t143) @t157))) % 0.60/0.85 (step @p156 :rule trans :premises (@p155 @p154)) % 0.60/0.85 (step @p157 :rule refl :args (@t138)) % 0.60/0.85 (step @p158 :rule ho_cong :premises (@p157 @p116)) % 0.60/0.85 (step @p159 :rule trans :premises (@p158 @p156)) % 0.60/0.85 (step @p160 :rule refl :args (@t13)) % 0.60/0.85 (step @p161 :rule ho_cong :premises (@p160 @p159)) % 0.60/0.85 (step @p162 :rule trans :premises (@p161 @p139)) % 0.60/0.85 (step @p163 :rule ho_cong :premises (@p162 @p107)) % 0.60/0.85 (step @p164 :rule trans :premises (@p163 @p134)) % 0.60/0.85 (step @p165 :rule refl :args (@t89)) % 0.60/0.85 (step @p166 :rule refl :args (@t79)) % 0.60/0.85 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t79 @t89))) % 0.60/0.85 (step @p168 :rule symm :premises (@p167)) % 0.60/0.85 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.60/0.85 (step @p170 :rule cong :premises (@p169) :args (@t80)) % 0.60/0.85 (step @p171 :rule nary_cong :premises (@p170 @p144) :args (@t81)) % 0.60/0.85 (step @p172 :rule cong :premises (@p171) :args (@t82)) % 0.60/0.85 (step @p173 :rule cong :premises (@p172) :args (@t83)) % 0.60/0.85 (step @p174 :rule trans :premises (@p35 @p173)) % 0.60/0.85 (step @p175 :rule ho_cong :premises (@p174 @p125)) % 0.60/0.85 (step @p176 :rule ho_cong :premises (@p7 @p175)) % 0.60/0.85 (step @p177 :rule ho_cong :premises (@p176 @p107)) % 0.60/0.85 (step @p178 :rule trans :premises (@p177 @p164)) % 0.60/0.85 (step @p179 :rule cong :premises (@p178) :args (@t85)) % 0.60/0.85 (step @p180 :rule trans :premises (@p36 @p179)) % 0.60/0.85 (step @p181 :rule ho_cong :premises (@p180 @p133)) % 0.60/0.85 (step @p182 :rule ho_cong :premises (@p174 @p81)) % 0.60/0.85 (step @p183 :rule ho_cong :premises (@p131 @p182)) % 0.60/0.85 (step @p184 :rule ho_cong :premises (@p183 @p181)) % 0.60/0.85 (step @p185 :rule refl :args (@t101)) % 0.60/0.85 (step @p186 :rule refl :args (@t10)) % 0.60/0.85 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t10 @t101))) % 0.60/0.85 (step @p188 :rule symm :premises (@p187)) % 0.60/0.85 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 0.60/0.85 (step @p190 :rule cong :premises (@p189) :args (@t73)) % 0.60/0.85 (step @p191 :rule cong :premises (@p190) :args (@t75)) % 0.60/0.85 (step @p192 :rule trans :premises (@p31 @p191)) % 0.60/0.85 (step @p193 :rule ho_cong :premises (@p192 @p184)) % 0.60/0.85 (step @p194 :rule cong :premises (@p193) :args (@t1)) % 0.60/0.85 (step @p195 :rule trans :premises (@p194 @p104)) % 0.60/0.85 (step @p196 :rule eq_resolve :premises (@p3 @p195)) % 0.60/0.85 (step @p197 :rule skolemize :premises (@p196)) % 0.60/0.85 (step @p198 :rule bool-double-not-elim :args (@t160)) % 0.60/0.85 (step @p199 :rule refl :args (@t164)) % 0.60/0.85 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t164 (not @t163)))) % 0.60/0.85 (step @p201 :rule cnf_or_neg :args (@t164 0)) % 0.60/0.85 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.60/0.85 (step @p203 :rule reordering :premises (@p202) :args ((or @t160 @t164))) % 0.60/0.85 (step @p204 :rule chain_m_resolution :premises (@p203 @p197) :args (@t160 @t165 @t166)) % 0.60/0.85 (step @p205 :rule instantiate :premises (@p204) :args (@t169)) % 0.60/0.85 (step @p206 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t46 (not (forall @t53 (not @t170))))) tptp.rel_d) (forall @t46 (not (forall @t53 (not (tptp.rel_d @t44 @t49)))))))) % 0.60/0.85 (step @p207 :rule refl :args (tptp.rel_d)) % 0.60/0.85 (step @p208 :rule refl :args (@t170)) % 0.60/0.85 (step @p209 :rule refl :args (@t51)) % 0.60/0.85 (step @p210 :rule cong :premises (@p209 @p208) :args ((= @t51 @t170))) % 0.60/0.85 (step @p211 :rule symm :premises (@p210)) % 0.60/0.85 (step @p212 :rule eq_resolve :premises (@p209 @p211)) % 0.60/0.85 (step @p213 :rule cong :premises (@p212) :args (@t171)) % 0.60/0.85 (step @p214 :rule cong :premises (@p213) :args (@t172)) % 0.60/0.85 (step @p215 :rule cong :premises (@p214) :args (@t173)) % 0.60/0.85 (step @p216 :rule exists-elim :args ((= @t54 @t173))) % 0.60/0.85 (step @p217 :rule trans :premises (@p216 @p215)) % 0.60/0.85 (step @p218 :rule cong :premises (@p217) :args (@t55)) % 0.60/0.85 (step @p219 :rule cong :premises (@p218) :args (@t56)) % 0.60/0.85 (step @p220 :rule trans :premises (@p23 @p219)) % 0.60/0.85 (step @p221 :rule ho_cong :premises (@p220 @p207)) % 0.60/0.85 (step @p222 :rule trans :premises (@p221 @p206)) % 0.60/0.85 (step @p223 :rule eq_resolve :premises (@p2 @p222)) % 0.60/0.85 (step @p224 :rule instantiate :premises (@p223) :args ((@list @t158))) % 0.60/0.85 (step @p225 :rule refl :args (@t174)) % 0.60/0.85 (step @p226 :rule bool-double-not-elim :args (@t167)) % 0.60/0.85 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or (not @t175) @t174))) % 0.60/0.85 (step @p228 :rule bool-double-not-elim :args (@t174)) % 0.60/0.85 (step @p229 :rule refl :args (@t175)) % 0.60/0.85 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t175 @t177))) % 0.60/0.85 (assume-push @p255 @t175) % 0.60/0.85 (step @p232 :rule skolemize :premises (@p224)) % 0.60/0.85 (step-pop @p256 :rule scope :premises (@p232)) % 0.60/0.85 (step @p233 :rule process_scope :premises (@p256) :args (@t177)) % 0.60/0.85 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 0.60/0.85 (step @p236 :rule implies_elim :premises (@p235)) % 0.60/0.85 (step @p237 :rule eq_resolve :premises (@p236 @p227)) % 0.60/0.85 (step @p238 :rule chain_m_resolution :premises (@p237 @p224) :args (@t174 @t165 (@list @t167))) % 0.60/0.85 (step @p239 :rule cnf_or_pos :args (@t179)) % 0.60/0.85 (step @p240 :rule reordering :premises (@p239) :args ((or @t176 @t178 (not @t179)))) % 0.60/0.85 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p205) :args (@t178 @t180 (@list @t174 @t179))) % 0.60/0.85 (step @p242 :rule bool-double-not-elim :args (@t161)) % 0.60/0.85 (step @p243 :rule nary_cong :premises (@p199 @p242) :args ((or @t164 (not @t162)))) % 0.60/0.85 (step @p244 :rule cnf_or_neg :args (@t164 1)) % 0.60/0.85 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.60/0.85 (step @p246 :rule reordering :premises (@p245) :args ((or @t161 @t164))) % 0.60/0.85 (step @p247 :rule chain_m_resolution :premises (@p246 @p197) :args (@t161 @t165 @t166)) % 0.60/0.85 (step @p248 :rule instantiate :premises (@p247) :args (@t169)) % 0.60/0.85 (step @p249 :rule cnf_or_pos :args (@t183)) % 0.60/0.85 (step @p250 :rule reordering :premises (@p249) :args ((or @t176 @t182 (not @t183)))) % 0.60/0.85 (step @p251 :rule chain_m_resolution :premises (@p250 @p238 @p248) :args (@t182 @t180 (@list @t174 @t183))) % 0.60/0.85 (step @p252 :rule cnf_and_pos :args (@t182 1)) % 0.60/0.85 (step @p253 :rule reordering :premises (@p252) :args ((or @t181 (not @t182)))) % 0.60/0.85 (step @p254 false :rule chain_m_resolution :premises (@p253 @p251 @p241) :args (false @t180 (@list @t182 @t178))) % 0.60/0.85 ) % 0.60/0.85 % SZS output end Proof % 0.60/0.85 % cvc5 exiting %------------------------------------------------------------------------------