%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO462^6 : 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 : n003.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 09:12:49 AM UTC 2026 % Result : Theorem 0.35s 0.61s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO462^6 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 : Wed Jun 3 00:11:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.35/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.61 % SZS status Theorem % 0.35/0.61 % SZS output start Proof % 0.35/0.61 ( % 0.35/0.61 (declare-sort $$unsorted 0) % 0.35/0.61 (declare-sort tptp.mu 0) % 0.35/0.61 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.q (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.35/0.61 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.35/0.61 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.35/0.61 (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)))))) % 0.35/0.61 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.35/0.61 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.35/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.35/0.61 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.35/0.61 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.35/0.61 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.35/0.61 (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))))))) % 0.35/0.61 (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))))))) % 0.35/0.61 (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)))))) % 0.35/0.61 (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)))))) % 0.35/0.61 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.35/0.61 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.35/0.61 (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)))))) % 0.35/0.61 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.35/0.61 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.35/0.61 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.35/0.61 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.35/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.35/0.61 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.35/0.61 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.35/0.61 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.35/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.35/0.61 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.35/0.61 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.35/0.61 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.35/0.61 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.35/0.61 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.35/0.61 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$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_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.35/0.61 (define tptp.mdia_s5 () (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_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.35/0.61 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mbox_s5 (_ (_ tptp.mequiv tptp.p) tptp.q))) (_ (_ tptp.mequiv (_ tptp.mbox_s5 tptp.p)) (_ tptp.mbox_s5 tptp.q)))))) % 0.35/0.61 (define @t2 () (@var "Y" tptp.mu)) % 0.35/0.61 (define @t3 () (@var "X" tptp.mu)) % 0.35/0.61 (define @t4 () (@var "W" $$unsorted)) % 0.35/0.61 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.35/0.61 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.35/0.61 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.35/0.61 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.35/0.61 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.35/0.61 (define @t10 () (_ @t9 @t4)) % 0.35/0.61 (define @t11 () (not @t10)) % 0.35/0.61 (define @t12 () (@list @t9 @t4)) % 0.35/0.61 (define @t13 () (lambda @t12 @t11)) % 0.35/0.61 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.35/0.61 (define @t15 () (_ @t14 @t4)) % 0.35/0.61 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.35/0.62 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.35/0.62 (define @t18 () (_ tptp.mnot @t14)) % 0.35/0.62 (define @t19 () (_ tptp.mnot @t9)) % 0.35/0.62 (define @t20 () (_ tptp.mor @t19)) % 0.35/0.62 (define @t21 () (@list @t9 @t14 @t17)) % 0.35/0.62 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.35/0.62 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.35/0.62 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.35/0.62 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.35/0.62 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.35/0.62 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.35/0.62 (define @t28 () (_ @t27 @t3)) % 0.35/0.62 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.35/0.62 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.35/0.62 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.35/0.62 (define @t32 () (_ @t31 @t30)) % 0.35/0.62 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.35/0.62 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.35/0.62 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.35/0.62 (define @t36 () (@list @t4)) % 0.35/0.62 (define @t37 () (lambda @t36 true)) % 0.35/0.62 (define @t38 () (@var "V" $$unsorted)) % 0.35/0.62 (define @t39 () (_ @t9 @t38)) % 0.35/0.62 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.35/0.62 (define @t41 () (@list @t38)) % 0.35/0.62 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.35/0.62 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.35/0.62 (define @t44 () (@var "S" $$unsorted)) % 0.35/0.62 (define @t45 () (_ @t40 @t44)) % 0.35/0.62 (define @t46 () (@list @t44)) % 0.35/0.62 (define @t47 () (@list @t40)) % 0.35/0.62 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.35/0.62 (define @t49 () (@var "T" $$unsorted)) % 0.35/0.62 (define @t50 () (_ @t40 @t49)) % 0.35/0.62 (define @t51 () (_ @t45 @t49)) % 0.35/0.62 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.35/0.62 (define @t53 () (@list @t49)) % 0.35/0.62 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.35/0.62 (define @t55 () (@var "U" $$unsorted)) % 0.35/0.62 (define @t56 () (_ @t45 @t55)) % 0.35/0.62 (define @t57 () (_ @t50 @t55)) % 0.35/0.62 (define @t58 () (@list @t44 @t49 @t55)) % 0.35/0.62 (define @t59 () (lambda @t47 (forall @t58 (=> (and @t51 @t57) @t56)))) % 0.35/0.62 (define @t60 () (and @t51 @t56)) % 0.35/0.62 (define @t61 () (lambda @t47 (forall @t58 (=> @t60 @t57)))) % 0.35/0.62 (define @t62 () (= @t49 @t55)) % 0.35/0.62 (define @t63 () (lambda @t47 (forall @t58 (=> @t60 @t62)))) % 0.35/0.62 (define @t64 () (@list @t55)) % 0.35/0.62 (define @t65 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t64 (=> @t56 @t62))))))) % 0.35/0.62 (define @t66 () (_ @t40 @t55)) % 0.35/0.62 (define @t67 () (_ @t66 @t49)) % 0.35/0.62 (define @t68 () (lambda @t47 (forall @t58 (=> @t51 (exists @t64 (and @t56 @t67)))))) % 0.35/0.62 (define @t69 () (lambda @t47 (forall @t58 (=> @t60 (or @t57 @t62 @t67))))) % 0.35/0.62 (define @t70 () (lambda @t47 (forall @t58 (=> @t60 (exists @t41 (and (_ @t50 @t38) (_ @t66 @t38))))))) % 0.35/0.62 (define @t71 () (forall @t36 @t10)) % 0.35/0.62 (define @t72 () (@list @t9)) % 0.35/0.62 (define @t73 () (lambda @t72 @t71)) % 0.35/0.62 (define @t74 () (lambda @t72 (forall @t36 @t11))) % 0.35/0.62 (define @t75 () (lambda @t72 (exists @t36 @t10))) % 0.35/0.62 (define @t76 () (lambda @t72 (exists @t36 @t11))) % 0.35/0.62 (define @t77 () (_ (_ tptp.rel_s5 @t4) @t38)) % 0.35/0.62 (define @t78 () (not @t77)) % 0.35/0.62 (define @t79 () (or @t78 @t39)) % 0.35/0.62 (define @t80 () (forall @t41 @t79)) % 0.35/0.62 (define @t81 () (lambda @t12 @t80)) % 0.35/0.62 (define @t82 () (lambda (@list @t9 @t17) (_ (_ tptp.mnot (_ tptp.mbox_s5 @t19)) @t17))) % 0.35/0.62 (define @t83 () (tptp.p @t38)) % 0.35/0.62 (define @t84 () (@var "BOUND_VARIABLE_8565" $$unsorted)) % 0.35/0.62 (define @t85 () (tptp.p @t84)) % 0.35/0.62 (define @t86 () (not (tptp.rel_s5 @t4 @t84))) % 0.35/0.62 (define @t87 () (tptp.q @t38)) % 0.35/0.62 (define @t88 () (tptp.rel_s5 @t4 @t38)) % 0.35/0.62 (define @t89 () (not @t88)) % 0.35/0.62 (define @t90 () (forall @t41 (or @t89 @t87))) % 0.35/0.62 (define @t91 () (not @t90)) % 0.35/0.62 (define @t92 () (or @t91 @t86 @t85)) % 0.35/0.62 (define @t93 () (@var "BOUND_VARIABLE_8558" $$unsorted)) % 0.35/0.62 (define @t94 () (tptp.q @t93)) % 0.35/0.62 (define @t95 () (not (tptp.rel_s5 @t4 @t93))) % 0.35/0.62 (define @t96 () (forall @t41 (or @t89 @t83))) % 0.35/0.62 (define @t97 () (not @t96)) % 0.35/0.62 (define @t98 () (or @t97 @t95 @t94)) % 0.35/0.62 (define @t99 () (and (or (not @t83) @t87) (or (not @t87) @t83))) % 0.35/0.62 (define @t100 () (forall @t41 (or @t89 @t99))) % 0.35/0.62 (define @t101 () (not @t100)) % 0.35/0.62 (define @t102 () (@list @t4 @t93 @t84)) % 0.35/0.62 (define @t103 () (forall @t102 (or @t101 (and @t98 @t92)))) % 0.35/0.62 (define @t104 () (@quantifiers_skolemize @t103 0)) % 0.35/0.62 (define @t105 () (not (tptp.rel_s5 @t104 @t38))) % 0.35/0.62 (define @t106 () (forall @t41 (or @t105 @t83))) % 0.35/0.62 (define @t107 () (@quantifiers_skolemize @t103 1)) % 0.35/0.62 (define @t108 () (@list @t107)) % 0.35/0.62 (define @t109 () (tptp.p @t107)) % 0.35/0.62 (define @t110 () (tptp.rel_s5 @t104 @t107)) % 0.35/0.62 (define @t111 () (not @t110)) % 0.35/0.62 (define @t112 () (or @t111 @t109)) % 0.35/0.62 (define @t113 () (@quantifiers_skolemize @t103 2)) % 0.35/0.62 (define @t114 () (@list @t113)) % 0.35/0.62 (define @t115 () (tptp.p @t113)) % 0.35/0.62 (define @t116 () (tptp.rel_s5 @t104 @t113)) % 0.35/0.62 (define @t117 () (not @t116)) % 0.35/0.62 (define @t118 () (or @t117 @t115)) % 0.35/0.62 (define @t119 () (forall @t41 (or @t105 @t87))) % 0.35/0.62 (define @t120 () (not @t119)) % 0.35/0.62 (define @t121 () (or @t120 @t117 @t115)) % 0.35/0.62 (define @t122 () (not @t118)) % 0.35/0.62 (define @t123 () (@list true false)) % 0.35/0.62 (define @t124 () (or @t86 @t85)) % 0.35/0.62 (define @t125 () (or @t91 @t124)) % 0.35/0.62 (define @t126 () (or @t95 @t94)) % 0.35/0.62 (define @t127 () (or @t97 @t126)) % 0.35/0.62 (define @t128 () (and @t127 @t125)) % 0.35/0.62 (define @t129 () (or @t101 @t128)) % 0.35/0.62 (define @t130 () (forall @t102 @t129)) % 0.35/0.62 (define @t131 () (@list @t93 @t84)) % 0.35/0.62 (define @t132 () (forall @t131 @t129)) % 0.35/0.62 (define @t133 () (@list @t84)) % 0.35/0.62 (define @t134 () (forall @t133 @t124)) % 0.35/0.62 (define @t135 () (@list @t38)) % 0.35/0.62 (define @t136 () (or @t91 @t134)) % 0.35/0.62 (define @t137 () (forall @t133 @t125)) % 0.35/0.62 (define @t138 () (forall @t131 @t125)) % 0.35/0.62 (define @t139 () (@list @t93)) % 0.35/0.62 (define @t140 () (forall @t139 @t126)) % 0.35/0.62 (define @t141 () (or @t97 @t140)) % 0.35/0.62 (define @t142 () (forall @t139 @t127)) % 0.35/0.62 (define @t143 () (forall @t131 @t127)) % 0.35/0.62 (define @t144 () (and @t143 @t138)) % 0.35/0.62 (define @t145 () (forall @t131 @t128)) % 0.35/0.62 (define @t146 () (or @t101 @t145)) % 0.35/0.62 (define @t147 () (or @t91 @t96)) % 0.35/0.62 (define @t148 () (or @t97 @t90)) % 0.35/0.62 (define @t149 () (not @t147)) % 0.35/0.62 (define @t150 () (not @t148)) % 0.35/0.62 (define @t151 () (or @t101 (not (or @t150 @t149)))) % 0.35/0.62 (define @t152 () (not (tptp.rel_s5 @t17 @t38))) % 0.35/0.62 (define @t153 () (forall @t41 (or @t152 @t83))) % 0.35/0.62 (define @t154 () (forall @t41 (or @t152 @t87))) % 0.35/0.62 (define @t155 () (not @t153)) % 0.35/0.62 (define @t156 () (not (or (not (or @t155 @t154)) (not (or (not @t154) @t153))))) % 0.35/0.62 (define @t157 () (forall @t41 (or @t152 @t99))) % 0.35/0.62 (define @t158 () (not @t157)) % 0.35/0.62 (define @t159 () (@list @t17)) % 0.35/0.62 (define @t160 () (lambda @t159 (or @t158 @t156))) % 0.35/0.62 (define @t161 () (_ @t160 @t4)) % 0.35/0.62 (define @t162 () (forall @t36 @t161)) % 0.35/0.62 (define @t163 () (_ @t9 @t4)) % 0.35/0.62 (define @t164 () (lambda @t72 (forall @t36 @t163))) % 0.35/0.62 (define @t165 () (lambda @t159 @t156)) % 0.35/0.62 (define @t166 () (_ @t165 @t17)) % 0.35/0.62 (define @t167 () (or @t158 @t166)) % 0.35/0.62 (define @t168 () (lambda @t159 @t167)) % 0.35/0.62 (define @t169 () (_ @t14 @t17)) % 0.35/0.62 (define @t170 () (@list @t14 @t17)) % 0.35/0.62 (define @t171 () (lambda @t36 @t90)) % 0.35/0.62 (define @t172 () (_ @t171 @t17)) % 0.35/0.62 (define @t173 () (not @t172)) % 0.35/0.62 (define @t174 () (or @t173 @t153)) % 0.35/0.62 (define @t175 () (not @t174)) % 0.35/0.62 (define @t176 () (or @t155 @t172)) % 0.35/0.62 (define @t177 () (not @t176)) % 0.35/0.62 (define @t178 () (or @t177 @t175)) % 0.35/0.62 (define @t179 () (not @t178)) % 0.35/0.62 (define @t180 () (lambda @t159 @t179)) % 0.35/0.62 (define @t181 () (not @t169)) % 0.35/0.62 (define @t182 () (_ @t9 @t38)) % 0.35/0.62 (define @t183 () (lambda @t12 (forall @t41 (or @t89 @t182)))) % 0.35/0.62 (define @t184 () (_ @t183 tptp.q)) % 0.35/0.62 (define @t185 () (lambda @t36 @t96)) % 0.35/0.62 (define @t186 () (_ @t185 @t17)) % 0.35/0.62 (define @t187 () (or @t181 @t186)) % 0.35/0.62 (define @t188 () (not @t187)) % 0.35/0.62 (define @t189 () (not @t186)) % 0.35/0.62 (define @t190 () (or @t189 @t169)) % 0.35/0.62 (define @t191 () (not @t190)) % 0.35/0.62 (define @t192 () (or @t191 @t188)) % 0.35/0.62 (define @t193 () (not @t192)) % 0.35/0.62 (define @t194 () (lambda @t170 @t193)) % 0.35/0.62 (define @t195 () (_ @t9 @t17)) % 0.35/0.62 (define @t196 () (or @t181 @t195)) % 0.35/0.62 (define @t197 () (not @t195)) % 0.35/0.62 (define @t198 () (or @t197 @t169)) % 0.35/0.62 (define @t199 () (not @t198)) % 0.35/0.62 (define @t200 () (not (or @t199 (not @t196)))) % 0.35/0.62 (define @t201 () (lambda @t21 @t200)) % 0.35/0.62 (define @t202 () (_ @t183 tptp.p)) % 0.35/0.62 (define @t203 () (lambda @t36 @t100)) % 0.35/0.62 (define @t204 () (_ @t203 @t17)) % 0.35/0.62 (define @t205 () (not @t204)) % 0.35/0.62 (define @t206 () (or @t205 @t169)) % 0.35/0.62 (define @t207 () (lambda @t170 @t206)) % 0.35/0.62 (define @t208 () (lambda @t21 @t198)) % 0.35/0.62 (define @t209 () (_ tptp.p @t38)) % 0.35/0.62 (define @t210 () (_ tptp.q @t38)) % 0.35/0.62 (define @t211 () (not @t210)) % 0.35/0.62 (define @t212 () (or @t211 @t209)) % 0.35/0.62 (define @t213 () (not @t209)) % 0.35/0.62 (define @t214 () (or @t213 @t210)) % 0.35/0.62 (define @t215 () (and @t214 @t212)) % 0.35/0.62 (define @t216 () (or @t89 @t215)) % 0.35/0.62 (define @t217 () (not @t212)) % 0.35/0.62 (define @t218 () (not @t214)) % 0.35/0.62 (define @t219 () (not (or @t218 @t217))) % 0.35/0.62 (define @t220 () (or @t89 @t219)) % 0.35/0.62 (define @t221 () (_ tptp.p @t17)) % 0.35/0.62 (define @t222 () (_ tptp.q @t17)) % 0.35/0.62 (define @t223 () (not @t221)) % 0.35/0.62 (define @t224 () (lambda @t159 (not (or (not (or @t223 @t222)) (not (or (not @t222) @t221)))))) % 0.35/0.62 (define @t225 () (_ @t224 @t38)) % 0.35/0.62 (define @t226 () (or @t89 @t225)) % 0.35/0.62 (define @t227 () (forall @t41 @t226)) % 0.35/0.62 (define @t228 () (lambda @t36 @t227)) % 0.35/0.62 (define @t229 () (lambda @t170 (not (or (not (or @t223 @t169)) (not (or @t181 @t221)))))) % 0.35/0.62 (define @t230 () (_ @t201 tptp.p)) % 0.35/0.62 (define @t231 () (lambda @t159 @t196)) % 0.35/0.62 (define @t232 () (_ @t231 @t17)) % 0.35/0.62 (define @t233 () (not @t232)) % 0.35/0.62 (define @t234 () (or @t199 @t233)) % 0.35/0.62 (define @t235 () (not @t234)) % 0.35/0.62 (define @t236 () (lambda @t159 @t235)) % 0.35/0.62 (define @t237 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.35/0.62 (define @t238 () (not (_ @t237 @t17))) % 0.35/0.62 (define @t239 () (@list @t237 @t17)) % 0.35/0.62 (define @t240 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.35/0.62 (define @t241 () (_ @t240 @t17)) % 0.35/0.62 (define @t242 () (lambda (@list @t240 @t17) (or @t181 @t241))) % 0.35/0.62 (define @t243 () (@list @t14)) % 0.35/0.62 (define @t244 () (lambda @t159 @t198)) % 0.35/0.62 (define @t245 () (_ @t244 @t17)) % 0.35/0.62 (define @t246 () (not @t245)) % 0.35/0.62 (define @t247 () (or @t246 @t238)) % 0.35/0.62 (define @t248 () (not @t247)) % 0.35/0.62 (define @t249 () (lambda @t239 @t248)) % 0.35/0.62 (define @t250 () (not (or @t197 @t181))) % 0.35/0.62 (define @t251 () (lambda @t21 @t250)) % 0.35/0.62 (define @t252 () (lambda @t170 @t198)) % 0.35/0.62 (define @t253 () (or @t11 @t15)) % 0.35/0.62 (define @t254 () (lambda @t36 @t253)) % 0.35/0.62 (define @t255 () (@list @t14 @t4)) % 0.35/0.62 (define @t256 () (lambda @t255 @t253)) % 0.35/0.62 (define @t257 () (lambda @t36 @t11)) % 0.35/0.62 (define @t258 () (_ @t257 @t4)) % 0.35/0.62 (define @t259 () (or @t258 @t15)) % 0.35/0.62 (define @t260 () (lambda @t255 @t259)) % 0.35/0.62 (define @t261 () (not @t15)) % 0.35/0.62 (define @t262 () (or @t11 @t261)) % 0.35/0.62 (define @t263 () (lambda @t36 @t262)) % 0.35/0.62 (define @t264 () (_ @t263 @t4)) % 0.35/0.62 (define @t265 () (not @t264)) % 0.35/0.62 (define @t266 () (lambda @t36 @t265)) % 0.35/0.62 (define @t267 () (lambda @t36 @t261)) % 0.35/0.62 (define @t268 () (_ @t267 @t4)) % 0.35/0.62 (define @t269 () (or @t11 @t268)) % 0.35/0.62 (define @t270 () (lambda @t36 @t269)) % 0.35/0.62 (define @t271 () (tptp.q @t107)) % 0.35/0.62 (define @t272 () (not @t106)) % 0.35/0.62 (define @t273 () (or @t272 @t111 @t271)) % 0.35/0.62 (define @t274 () (and @t273 @t121)) % 0.35/0.62 (define @t275 () (forall @t41 (or @t105 @t99))) % 0.35/0.62 (define @t276 () (not @t275)) % 0.35/0.62 (define @t277 () (or @t276 @t274)) % 0.35/0.62 (define @t278 () (@list true)) % 0.35/0.62 (define @t279 () (@list @t277)) % 0.35/0.62 (define @t280 () (not @t109)) % 0.35/0.62 (define @t281 () (or @t280 @t271)) % 0.35/0.62 (define @t282 () (and @t281 (or (not @t271) @t109))) % 0.35/0.62 (define @t283 () (or @t111 @t282)) % 0.35/0.62 (define @t284 () (not @t115)) % 0.35/0.62 (define @t285 () (@list @t121)) % 0.35/0.62 (define @t286 () (tptp.q @t113)) % 0.35/0.62 (define @t287 () (or @t117 @t286)) % 0.35/0.62 (define @t288 () (@list false)) % 0.35/0.62 (define @t289 () (@list false false)) % 0.35/0.62 (define @t290 () (not @t286)) % 0.35/0.62 (define @t291 () (or @t290 @t115)) % 0.35/0.62 (define @t292 () (and (or @t284 @t286) @t291)) % 0.35/0.62 (define @t293 () (or @t117 @t292)) % 0.35/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.35/0.62 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.35/0.62 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.35/0.62 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.35/0.62 (assume @p5 @t1) % 0.35/0.62 (assume @p6 true) % 0.35/0.62 (step @p7 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.35/0.62 (step @p8 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.35/0.62 (step @p9 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.35/0.62 (step @p10 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.35/0.62 (step @p11 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.35/0.62 (step @p12 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.35/0.62 (step @p13 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.35/0.62 (step @p14 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.35/0.62 (step @p15 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.35/0.62 (step @p16 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.35/0.62 (step @p17 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.35/0.62 (step @p18 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.35/0.62 (step @p19 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.35/0.62 (step @p20 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.35/0.62 (step @p21 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.35/0.62 (step @p22 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.35/0.62 (step @p23 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.35/0.62 (step @p24 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.35/0.62 (step @p25 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.35/0.62 (step @p26 (= tptp.mtransitive @t59) :rule refl :args (@t59)) % 0.35/0.62 (step @p27 (= tptp.meuclidean @t61) :rule refl :args (@t61)) % 0.35/0.62 (step @p28 (= tptp.mpartially_functional @t63) :rule refl :args (@t63)) % 0.35/0.62 (step @p29 (= tptp.mfunctional @t65) :rule refl :args (@t65)) % 0.35/0.62 (step @p30 (= tptp.mweakly_dense @t68) :rule refl :args (@t68)) % 0.35/0.62 (step @p31 (= tptp.mweakly_connected @t69) :rule refl :args (@t69)) % 0.35/0.62 (step @p32 (= tptp.mweakly_directed @t70) :rule refl :args (@t70)) % 0.35/0.62 (step @p33 (= tptp.mvalid @t73) :rule refl :args (@t73)) % 0.35/0.62 (step @p34 (= tptp.minvalid @t74) :rule refl :args (@t74)) % 0.35/0.62 (step @p35 (= tptp.msatisfiable @t75) :rule refl :args (@t75)) % 0.35/0.62 (step @p36 (= tptp.mcountersatisfiable @t76) :rule refl :args (@t76)) % 0.35/0.62 (step @p37 (= tptp.mbox_s5 @t81) :rule refl :args (@t81)) % 0.35/0.62 (step @p38 (= tptp.mdia_s5 @t82) :rule refl :args (@t82)) % 0.35/0.62 (assume-push @p402 @t106) % 0.35/0.62 (step @p40 :rule instantiate :premises (@p402) :args (@t108)) % 0.35/0.62 (step-pop @p403 :rule scope :premises (@p40)) % 0.35/0.62 (step @p41 :rule process_scope :premises (@p403) :args (@t112)) % 0.35/0.62 (step @p43 :rule implies_elim :premises (@p41)) % 0.35/0.62 (assume-push @p404 @t106) % 0.35/0.62 (step @p45 :rule instantiate :premises (@p404) :args (@t114)) % 0.35/0.62 (step-pop @p405 :rule scope :premises (@p45)) % 0.35/0.62 (step @p46 :rule process_scope :premises (@p405) :args (@t118)) % 0.35/0.62 (step @p48 :rule implies_elim :premises (@p46)) % 0.35/0.62 (step @p49 :rule bool-double-not-elim :args (@t116)) % 0.35/0.62 (step @p50 :rule refl :args (@t121)) % 0.35/0.62 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t121 (not @t117)))) % 0.35/0.62 (step @p52 :rule cnf_or_neg :args (@t121 1)) % 0.35/0.62 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.35/0.62 (step @p54 :rule reordering :premises (@p53) :args 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@p215)) % 0.35/0.62 (step @p323 :rule ho_cong :premises (@p320 @p216)) % 0.35/0.62 (step @p324 :rule ho_cong :premises (@p323 @p184)) % 0.35/0.62 (step @p325 :rule ho_cong :premises (@p214 @p324)) % 0.35/0.62 (step @p326 :rule ho_cong :premises (@p283 @p325)) % 0.35/0.62 (step @p327 :rule ho_cong :premises (@p326 @p322)) % 0.35/0.62 (step @p328 :rule refl :args (@t163)) % 0.35/0.62 (step @p329 :rule refl :args (@t10)) % 0.35/0.62 (step @p330 :rule cong :premises (@p329 @p328) :args ((= @t10 @t163))) % 0.35/0.62 (step @p331 :rule symm :premises (@p330)) % 0.35/0.62 (step @p332 :rule eq_resolve :premises (@p329 @p331)) % 0.35/0.62 (step @p333 :rule cong :premises (@p332) :args (@t71)) % 0.35/0.62 (step @p334 :rule cong :premises (@p333) :args (@t73)) % 0.35/0.62 (step @p335 :rule trans :premises (@p33 @p334)) % 0.35/0.62 (step @p336 :rule ho_cong :premises (@p335 @p327)) % 0.35/0.62 (step @p337 :rule cong :premises (@p336) :args (@t1)) % 0.35/0.62 (step @p338 :rule trans :premises (@p337 @p199)) % 0.35/0.62 (step @p339 :rule eq_resolve :premises (@p5 @p338)) % 0.35/0.62 (step @p340 :rule skolemize :premises (@p339)) % 0.35/0.62 (step @p341 :rule cnf_or_neg :args (@t277 1)) % 0.35/0.62 (step @p342 :rule chain_m_resolution :premises (@p341 @p340) :args ((not @t274) @t278 @t279)) % 0.35/0.62 (step @p343 :rule cnf_and_neg :args (@t274)) % 0.35/0.62 (step @p344 :rule bool-double-not-elim :args (@t110)) % 0.35/0.62 (step @p345 :rule refl :args (@t273)) % 0.35/0.62 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t273 (not @t111)))) % 0.35/0.62 (step @p347 :rule cnf_or_neg :args (@t273 1)) % 0.35/0.62 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 0.35/0.62 (step @p349 :rule reordering :premises (@p348) :args ((or @t110 @t273))) % 0.35/0.62 (step @p350 :rule cnf_or_neg :args (@t273 2)) % 0.35/0.62 (step @p351 :rule bool-double-not-elim :args (@t275)) % 0.35/0.62 (step @p352 :rule refl :args (@t277)) % 0.35/0.62 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t277 (not @t276)))) % 0.35/0.62 (step @p354 :rule cnf_or_neg :args (@t277 0)) % 0.35/0.62 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 0.35/0.62 (step @p356 :rule reordering :premises (@p355) :args ((or @t275 @t277))) % 0.35/0.62 (step @p357 :rule chain_m_resolution :premises (@p356 @p340) :args (@t275 @t278 @t279)) % 0.35/0.62 (step @p358 :rule instantiate :premises (@p357) :args (@t108)) % 0.35/0.62 (step @p359 :rule cnf_or_pos :args (@t283)) % 0.35/0.62 (step @p360 :rule reordering :premises (@p359) :args ((or @t111 @t282 (not @t283)))) % 0.35/0.62 (step @p361 :rule cnf_or_pos :args (@t112)) % 0.35/0.62 (step @p362 :rule reordering :premises (@p361) :args ((or @t111 @t109 (not @t112)))) % 0.35/0.62 (step @p363 :rule cnf_or_pos :args (@t281)) % 0.35/0.62 (step @p364 :rule reordering :premises (@p363) :args ((or @t271 @t280 (not @t281)))) % 0.35/0.62 (step @p365 :rule cnf_and_pos :args (@t282 0)) % 0.35/0.62 (step @p366 :rule reordering :premises (@p365) :args ((or @t281 (not @t282)))) % 0.35/0.62 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p362 @p360 @p358 @p350 @p349 @p343 @p342 @p58 @p48 @p43) :args (@t272 (@list true false false false true false true true false false false) (@list @t281 @t109 @t282 @t283 @t271 @t110 @t273 @t274 @t121 @t118 @t112))) % 0.35/0.62 (step @p368 :rule bool-double-not-elim :args (@t106)) % 0.35/0.62 (step @p369 :rule nary_cong :premises (@p345 @p368) :args ((or @t273 (not @t272)))) % 0.35/0.62 (step @p370 :rule cnf_or_neg :args (@t273 0)) % 0.35/0.62 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 0.35/0.62 (step @p372 :rule reordering :premises (@p371) :args ((or @t106 @t273))) % 0.35/0.62 (step @p373 :rule chain_m_resolution :premises (@p372 @p367) :args (@t273 @t278 (@list @t106))) % 0.35/0.62 (step @p374 :rule chain_m_resolution :premises (@p343 @p342 @p373) :args ((not @t121) @t123 (@list @t274 @t273))) % 0.35/0.62 (step @p375 :rule chain_m_resolution :premises (@p55 @p374) :args (@t284 @t278 @t285)) % 0.35/0.62 (step @p376 :rule bool-double-not-elim :args (@t119)) % 0.35/0.62 (step @p377 :rule nary_cong :premises (@p50 @p376) :args ((or @t121 (not @t120)))) % 0.35/0.62 (step @p378 :rule cnf_or_neg :args (@t121 0)) % 0.35/0.62 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 0.35/0.62 (step @p380 :rule reordering :premises (@p379) :args ((or @t119 @t121))) % 0.35/0.62 (step @p381 :rule chain_m_resolution :premises (@p380 @p374) :args (@t119 @t278 @t285)) % 0.35/0.62 (assume-push @p406 @t119) % 0.35/0.62 (step @p383 :rule instantiate :premises (@p406) :args (@t114)) % 0.35/0.62 (step-pop @p407 :rule scope :premises (@p383)) % 0.35/0.62 (step @p384 :rule process_scope :premises (@p407) :args (@t287)) % 0.35/0.62 (step @p386 :rule implies_elim :premises (@p384)) % 0.35/0.62 (step @p387 :rule chain_m_resolution :premises (@p386 @p381) :args (@t287 @t288 (@list @t119))) % 0.35/0.62 (step @p388 :rule chain_m_resolution :premises (@p54 @p374) :args (@t116 @t278 @t285)) % 0.35/0.62 (step @p389 :rule cnf_or_pos :args (@t287)) % 0.35/0.62 (step @p390 :rule reordering :premises (@p389) :args ((or @t117 @t286 (not @t287)))) % 0.35/0.62 (step @p391 :rule chain_m_resolution :premises (@p390 @p388 @p387) :args (@t286 @t289 (@list @t116 @t287))) % 0.35/0.62 (step @p392 :rule instantiate :premises (@p357) :args (@t114)) % 0.35/0.62 (step @p393 :rule cnf_or_pos :args (@t293)) % 0.35/0.62 (step @p394 :rule reordering :premises (@p393) :args ((or @t117 @t292 (not @t293)))) % 0.35/0.62 (step @p395 :rule chain_m_resolution :premises (@p394 @p388 @p392) :args (@t292 @t289 (@list @t116 @t293))) % 0.35/0.62 (step @p396 :rule cnf_and_pos :args (@t292 1)) % 0.35/0.62 (step @p397 :rule reordering :premises (@p396) :args ((or @t291 (not @t292)))) % 0.35/0.62 (step @p398 :rule chain_m_resolution :premises (@p397 @p395) :args (@t291 @t288 (@list @t292))) % 0.35/0.62 (step @p399 :rule cnf_or_pos :args (@t291)) % 0.35/0.62 (step @p400 :rule reordering :premises (@p399) :args ((or @t115 @t290 (not @t291)))) % 0.35/0.62 (step @p401 false :rule chain_m_resolution :premises (@p400 @p398 @p391 @p375) :args (false (@list false false true) (@list @t291 @t286 @t115))) % 0.35/0.62 ) % 0.35/0.62 % SZS output end Proof % 0.35/0.62 % cvc5 exiting %------------------------------------------------------------------------------