%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO454^6 : 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 : n029.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 09:12:44 AM UTC 2026 % Result : Theorem 0.38s 0.64s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO454^6 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:09:17 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.38/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.64 % SZS status Theorem % 0.38/0.64 % SZS output start Proof % 0.38/0.64 ( % 0.38/0.64 (declare-sort $$unsorted 0) % 0.38/0.64 (declare-sort tptp.mu 0) % 0.38/0.64 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.38/0.64 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.64 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.64 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.64 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.64 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.64 (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)))))) % 0.38/0.64 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.64 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.64 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.64 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.64 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.38/0.64 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.64 (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))))))) % 0.38/0.64 (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))))))) % 0.38/0.64 (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)))))) % 0.38/0.64 (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)))))) % 0.38/0.64 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.64 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.38/0.64 (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)))))) % 0.38/0.64 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.64 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.64 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.64 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.64 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.38/0.64 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.64 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.38/0.64 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.38/0.64 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.38/0.64 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.38/0.64 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.64 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.64 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.64 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.64 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$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)))))))) % 0.38/0.64 (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))))) % 0.38/0.64 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mor (_ tptp.mdia_s5 (_ (_ tptp.mand (_ tptp.mdia_s5 tptp.p)) (_ tptp.mnot tptp.q)))) (_ tptp.mbox_s5 (_ (_ tptp.mimplies tptp.p) (_ tptp.mbox_s5 tptp.q))))))) % 0.38/0.64 (define @t2 () (@var "Y" tptp.mu)) % 0.38/0.64 (define @t3 () (@var "X" tptp.mu)) % 0.38/0.64 (define @t4 () (@var "W" $$unsorted)) % 0.38/0.64 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.38/0.64 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.64 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.64 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.38/0.64 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.64 (define @t10 () (_ @t9 @t4)) % 0.38/0.64 (define @t11 () (not @t10)) % 0.38/0.64 (define @t12 () (@list @t9 @t4)) % 0.38/0.64 (define @t13 () (lambda @t12 @t11)) % 0.38/0.64 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.64 (define @t15 () (_ @t14 @t4)) % 0.38/0.64 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.38/0.64 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.64 (define @t18 () (_ tptp.mnot @t14)) % 0.38/0.64 (define @t19 () (_ tptp.mnot @t9)) % 0.38/0.64 (define @t20 () (_ tptp.mor @t19)) % 0.38/0.64 (define @t21 () (@list @t9 @t14 @t17)) % 0.38/0.64 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.38/0.64 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.38/0.64 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.38/0.64 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.38/0.64 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.38/0.64 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.64 (define @t28 () (_ @t27 @t3)) % 0.38/0.64 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.38/0.64 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.64 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.64 (define @t32 () (_ @t31 @t30)) % 0.38/0.64 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.38/0.64 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.38/0.64 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.38/0.64 (define @t36 () (@list @t4)) % 0.38/0.64 (define @t37 () (lambda @t36 true)) % 0.38/0.64 (define @t38 () (@var "V" $$unsorted)) % 0.38/0.64 (define @t39 () (_ @t9 @t38)) % 0.38/0.64 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.64 (define @t41 () (@list @t38)) % 0.38/0.64 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.38/0.64 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.38/0.64 (define @t44 () (@var "S" $$unsorted)) % 0.38/0.64 (define @t45 () (_ @t40 @t44)) % 0.38/0.64 (define @t46 () (@list @t44)) % 0.38/0.64 (define @t47 () (@list @t40)) % 0.38/0.64 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.38/0.64 (define @t49 () (@var "T" $$unsorted)) % 0.38/0.64 (define @t50 () (_ @t40 @t49)) % 0.38/0.64 (define @t51 () (_ @t50 @t44)) % 0.38/0.64 (define @t52 () (_ @t45 @t49)) % 0.38/0.64 (define @t53 () (@list @t44 @t49)) % 0.38/0.64 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.38/0.64 (define @t55 () (lambda @t47 @t54)) % 0.38/0.64 (define @t56 () (@list @t49)) % 0.38/0.64 (define @t57 () (lambda @t47 (forall @t46 (exists @t56 @t52)))) % 0.38/0.64 (define @t58 () (@var "U" $$unsorted)) % 0.38/0.64 (define @t59 () (_ @t45 @t58)) % 0.38/0.64 (define @t60 () (_ @t50 @t58)) % 0.38/0.64 (define @t61 () (and @t52 @t60)) % 0.38/0.64 (define @t62 () (@list @t44 @t49 @t58)) % 0.38/0.64 (define @t63 () (forall @t62 (=> @t61 @t59))) % 0.38/0.64 (define @t64 () (lambda @t47 @t63)) % 0.38/0.64 (define @t65 () (and @t52 @t59)) % 0.38/0.64 (define @t66 () (lambda @t47 (forall @t62 (=> @t65 @t60)))) % 0.38/0.64 (define @t67 () (= @t49 @t58)) % 0.38/0.64 (define @t68 () (lambda @t47 (forall @t62 (=> @t65 @t67)))) % 0.38/0.64 (define @t69 () (@list @t58)) % 0.38/0.64 (define @t70 () (lambda @t47 (forall @t46 (exists @t56 (and @t52 (forall @t69 (=> @t59 @t67))))))) % 0.38/0.64 (define @t71 () (_ @t40 @t58)) % 0.38/0.64 (define @t72 () (_ @t71 @t49)) % 0.38/0.64 (define @t73 () (lambda @t47 (forall @t62 (=> @t52 (exists @t69 (and @t59 @t72)))))) % 0.38/0.64 (define @t74 () (lambda @t47 (forall @t62 (=> @t65 (or @t60 @t67 @t72))))) % 0.38/0.64 (define @t75 () (lambda @t47 (forall @t62 (=> @t65 (exists @t41 (and (_ @t50 @t38) (_ @t71 @t38))))))) % 0.38/0.64 (define @t76 () (forall @t36 @t10)) % 0.38/0.64 (define @t77 () (@list @t9)) % 0.38/0.64 (define @t78 () (lambda @t77 @t76)) % 0.38/0.64 (define @t79 () (lambda @t77 (forall @t36 @t11))) % 0.38/0.64 (define @t80 () (lambda @t77 (exists @t36 @t10))) % 0.38/0.64 (define @t81 () (lambda @t77 (exists @t36 @t11))) % 0.38/0.64 (define @t82 () (_ (_ tptp.rel_s5 @t4) @t38)) % 0.38/0.64 (define @t83 () (not @t82)) % 0.38/0.64 (define @t84 () (or @t83 @t39)) % 0.38/0.64 (define @t85 () (forall @t41 @t84)) % 0.38/0.64 (define @t86 () (lambda @t12 @t85)) % 0.38/0.64 (define @t87 () (@list @t9 @t17)) % 0.38/0.64 (define @t88 () (lambda @t87 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t19)) @t17))) % 0.38/0.64 (define @t89 () (@var "BOUND_VARIABLE_8590" $$unsorted)) % 0.38/0.64 (define @t90 () (tptp.q @t89)) % 0.38/0.64 (define @t91 () (@var "BOUND_VARIABLE_8588" $$unsorted)) % 0.38/0.64 (define @t92 () (not (tptp.rel_s5 @t91 @t89))) % 0.38/0.64 (define @t93 () (not (tptp.p @t91))) % 0.38/0.64 (define @t94 () (not (tptp.rel_s5 @t4 @t91))) % 0.38/0.64 (define @t95 () (@var "BOUND_VARIABLE_8498" $$unsorted)) % 0.38/0.64 (define @t96 () (not (tptp.p @t95))) % 0.38/0.64 (define @t97 () (not (tptp.rel_s5 @t38 @t95))) % 0.38/0.64 (define @t98 () (tptp.q @t38)) % 0.38/0.64 (define @t99 () (tptp.rel_s5 @t4 @t38)) % 0.38/0.64 (define @t100 () (not @t99)) % 0.38/0.64 (define @t101 () (@list @t38 @t95)) % 0.38/0.64 (define @t102 () (not (forall @t101 (or @t100 @t98 @t97 @t96)))) % 0.38/0.64 (define @t103 () (or @t102 @t94 @t93 @t92 @t90)) % 0.38/0.64 (define @t104 () (or @t94 @t93 @t92 @t90)) % 0.38/0.64 (define @t105 () (or @t102 @t104)) % 0.38/0.64 (define @t106 () (@list @t4 @t91 @t89)) % 0.38/0.64 (define @t107 () (forall @t106 @t105)) % 0.38/0.64 (define @t108 () (@list @t91 @t89)) % 0.38/0.64 (define @t109 () (forall @t108 @t105)) % 0.38/0.64 (define @t110 () (forall @t108 @t104)) % 0.38/0.64 (define @t111 () (@var "BOUND_VARIABLE_8565" $$unsorted)) % 0.38/0.64 (define @t112 () (or @t102 @t110)) % 0.38/0.64 (define @t113 () (tptp.q @t111)) % 0.38/0.64 (define @t114 () (not (tptp.rel_s5 @t38 @t111))) % 0.38/0.64 (define @t115 () (tptp.p @t38)) % 0.38/0.64 (define @t116 () (not @t115)) % 0.38/0.64 (define @t117 () (or @t100 @t116 @t114 @t113)) % 0.38/0.64 (define @t118 () (@list @t38 @t111)) % 0.38/0.64 (define @t119 () (forall @t118 @t117)) % 0.38/0.64 (define @t120 () (or @t102 @t119)) % 0.38/0.64 (define @t121 () (lambda @t36 @t120)) % 0.38/0.64 (define @t122 () (_ @t121 @t4)) % 0.38/0.64 (define @t123 () (forall @t36 @t122)) % 0.38/0.64 (define @t124 () (_ @t9 @t4)) % 0.38/0.64 (define @t125 () (lambda @t77 (forall @t36 @t124))) % 0.38/0.64 (define @t126 () (lambda @t36 @t119)) % 0.38/0.64 (define @t127 () (_ @t126 @t4)) % 0.38/0.64 (define @t128 () (or @t102 @t127)) % 0.38/0.64 (define @t129 () (lambda @t36 @t128)) % 0.38/0.64 (define @t130 () (@list @t14 @t4)) % 0.38/0.64 (define @t131 () (or @t114 @t113)) % 0.38/0.64 (define @t132 () (or @t100 @t116 @t131)) % 0.38/0.64 (define @t133 () (forall @t118 @t132)) % 0.38/0.64 (define @t134 () (@list @t111)) % 0.38/0.64 (define @t135 () (forall @t134 @t132)) % 0.38/0.64 (define @t136 () (forall @t134 @t131)) % 0.38/0.64 (define @t137 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 0.38/0.64 (define @t138 () (@list @t137)) % 0.38/0.64 (define @t139 () (or @t100 @t116 @t136)) % 0.38/0.64 (define @t140 () (tptp.q @t137)) % 0.38/0.64 (define @t141 () (@list @t137)) % 0.38/0.64 (define @t142 () (forall @t141 (or (not (tptp.rel_s5 @t38 @t137)) @t140))) % 0.38/0.64 (define @t143 () (_ tptp.p @t38)) % 0.38/0.64 (define @t144 () (not @t143)) % 0.38/0.64 (define @t145 () (or @t100 @t144 @t142)) % 0.38/0.64 (define @t146 () (or @t144 @t142)) % 0.38/0.64 (define @t147 () (not (_ tptp.p @t17))) % 0.38/0.64 (define @t148 () (@list @t17)) % 0.38/0.64 (define @t149 () (not (tptp.rel_s5 @t17 @t38))) % 0.38/0.64 (define @t150 () (forall @t41 (or @t149 @t98))) % 0.38/0.64 (define @t151 () (@list @t38)) % 0.38/0.64 (define @t152 () (or @t147 @t150)) % 0.38/0.64 (define @t153 () (lambda @t148 @t152)) % 0.38/0.64 (define @t154 () (or @t100 (_ @t153 @t38))) % 0.38/0.64 (define @t155 () (forall @t41 @t154)) % 0.38/0.64 (define @t156 () (lambda @t36 @t155)) % 0.38/0.64 (define @t157 () (_ @t9 @t38)) % 0.38/0.64 (define @t158 () (lambda @t12 (forall @t41 (or @t100 @t157)))) % 0.38/0.64 (define @t159 () (lambda @t36 (forall @t41 (or @t100 @t98)))) % 0.38/0.64 (define @t160 () (_ @t159 @t17)) % 0.38/0.64 (define @t161 () (or @t147 @t160)) % 0.38/0.64 (define @t162 () (lambda @t148 @t161)) % 0.38/0.64 (define @t163 () (_ @t14 @t17)) % 0.38/0.64 (define @t164 () (@list @t14 @t17)) % 0.38/0.64 (define @t165 () (lambda @t164 (or @t147 @t163))) % 0.38/0.64 (define @t166 () (_ @t158 tptp.q)) % 0.38/0.64 (define @t167 () (not (_ @t9 @t17))) % 0.38/0.64 (define @t168 () (or @t167 @t163)) % 0.38/0.64 (define @t169 () (_ (lambda @t21 @t168) tptp.p)) % 0.38/0.64 (define @t170 () (or @t149 @t98 @t97 @t96)) % 0.38/0.64 (define @t171 () (lambda @t148 (not (forall @t101 @t170)))) % 0.38/0.64 (define @t172 () (_ @t171 @t4)) % 0.38/0.64 (define @t173 () (or @t172 @t15)) % 0.38/0.64 (define @t174 () (lambda @t130 @t173)) % 0.38/0.64 (define @t175 () (or @t97 @t96)) % 0.38/0.64 (define @t176 () (or @t149 @t175 @t98)) % 0.38/0.64 (define @t177 () (forall @t101 @t176)) % 0.38/0.64 (define @t178 () (@list @t95)) % 0.38/0.64 (define @t179 () (forall @t178 @t176)) % 0.38/0.64 (define @t180 () (forall @t178 @t175)) % 0.38/0.64 (define @t181 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 0.38/0.64 (define @t182 () (@list @t181)) % 0.38/0.64 (define @t183 () (or @t149 @t180 @t98)) % 0.38/0.64 (define @t184 () (not (tptp.p @t181))) % 0.38/0.64 (define @t185 () (@list @t181)) % 0.38/0.64 (define @t186 () (forall @t185 (or (not (tptp.rel_s5 @t38 @t181)) @t184))) % 0.38/0.64 (define @t187 () (_ tptp.q @t38)) % 0.38/0.64 (define @t188 () (or @t149 @t186 @t187)) % 0.38/0.64 (define @t189 () (or @t186 @t187)) % 0.38/0.64 (define @t190 () (_ tptp.q @t17)) % 0.38/0.64 (define @t191 () (forall @t41 (or @t149 @t116))) % 0.38/0.64 (define @t192 () (or @t191 @t190)) % 0.38/0.64 (define @t193 () (not @t192)) % 0.38/0.64 (define @t194 () (lambda @t148 @t193)) % 0.38/0.64 (define @t195 () (not (_ @t194 @t38))) % 0.38/0.64 (define @t196 () (or @t149 @t195)) % 0.38/0.64 (define @t197 () (forall @t41 @t196)) % 0.38/0.64 (define @t198 () (not @t197)) % 0.38/0.64 (define @t199 () (lambda @t148 @t198)) % 0.38/0.64 (define @t200 () (not @t157)) % 0.38/0.64 (define @t201 () (not (forall @t41 (or @t149 @t200)))) % 0.38/0.64 (define @t202 () (lambda @t87 @t201)) % 0.38/0.64 (define @t203 () (lambda @t36 (not (_ tptp.q @t4)))) % 0.38/0.64 (define @t204 () (_ @t203 @t17)) % 0.38/0.64 (define @t205 () (not @t204)) % 0.38/0.64 (define @t206 () (or @t191 @t205)) % 0.38/0.64 (define @t207 () (not @t206)) % 0.38/0.64 (define @t208 () (lambda @t148 @t207)) % 0.38/0.64 (define @t209 () (not @t163)) % 0.38/0.64 (define @t210 () (_ @t13 tptp.q)) % 0.38/0.64 (define @t211 () (not @t191)) % 0.38/0.64 (define @t212 () (lambda @t148 @t211)) % 0.38/0.64 (define @t213 () (_ @t212 @t17)) % 0.38/0.64 (define @t214 () (not @t213)) % 0.38/0.64 (define @t215 () (or @t214 @t209)) % 0.38/0.64 (define @t216 () (not @t215)) % 0.38/0.64 (define @t217 () (lambda @t164 @t216)) % 0.38/0.64 (define @t218 () (not (or @t167 @t209))) % 0.38/0.64 (define @t219 () (lambda @t21 @t218)) % 0.38/0.64 (define @t220 () (_ @t202 tptp.p)) % 0.38/0.64 (define @t221 () (or @t11 @t15)) % 0.38/0.64 (define @t222 () (lambda @t36 @t221)) % 0.38/0.64 (define @t223 () (lambda @t130 @t221)) % 0.38/0.64 (define @t224 () (lambda @t36 @t11)) % 0.38/0.64 (define @t225 () (_ @t224 @t4)) % 0.38/0.64 (define @t226 () (or @t225 @t15)) % 0.38/0.64 (define @t227 () (lambda @t130 @t226)) % 0.38/0.64 (define @t228 () (forall @t41 (or @t100 @t200))) % 0.38/0.64 (define @t229 () (lambda @t36 @t228)) % 0.38/0.64 (define @t230 () (_ @t229 @t4)) % 0.38/0.64 (define @t231 () (not @t230)) % 0.38/0.64 (define @t232 () (lambda @t36 @t231)) % 0.38/0.64 (define @t233 () (not @t39)) % 0.38/0.64 (define @t234 () (or @t100 @t233)) % 0.38/0.64 (define @t235 () (_ @t224 @t38)) % 0.38/0.64 (define @t236 () (or @t100 @t235)) % 0.38/0.64 (define @t237 () (forall @t41 @t236)) % 0.38/0.64 (define @t238 () (lambda @t36 @t237)) % 0.38/0.64 (define @t239 () (not @t15)) % 0.38/0.64 (define @t240 () (or @t11 @t239)) % 0.38/0.64 (define @t241 () (lambda @t36 @t240)) % 0.38/0.64 (define @t242 () (_ @t241 @t4)) % 0.38/0.64 (define @t243 () (not @t242)) % 0.38/0.64 (define @t244 () (lambda @t36 @t243)) % 0.38/0.64 (define @t245 () (lambda @t36 @t239)) % 0.38/0.64 (define @t246 () (_ @t245 @t4)) % 0.38/0.64 (define @t247 () (or @t11 @t246)) % 0.38/0.64 (define @t248 () (lambda @t36 @t247)) % 0.38/0.64 (define @t249 () (forall @t106 @t103)) % 0.38/0.64 (define @t250 () (@quantifiers_skolemize @t249 0)) % 0.38/0.64 (define @t251 () (forall @t101 (or (not (tptp.rel_s5 @t250 @t38)) @t98 @t97 @t96))) % 0.38/0.64 (define @t252 () (@quantifiers_skolemize @t249 2)) % 0.38/0.64 (define @t253 () (tptp.q @t252)) % 0.38/0.64 (define @t254 () (@quantifiers_skolemize @t249 1)) % 0.38/0.64 (define @t255 () (tptp.rel_s5 @t254 @t252)) % 0.38/0.64 (define @t256 () (not @t255)) % 0.38/0.64 (define @t257 () (tptp.p @t254)) % 0.38/0.64 (define @t258 () (not @t257)) % 0.38/0.64 (define @t259 () (tptp.rel_s5 @t250 @t254)) % 0.38/0.64 (define @t260 () (not @t259)) % 0.38/0.64 (define @t261 () (not @t251)) % 0.38/0.64 (define @t262 () (or @t261 @t260 @t258 @t256 @t253)) % 0.38/0.64 (define @t263 () (@list true)) % 0.38/0.64 (define @t264 () (@list @t262)) % 0.38/0.64 (define @t265 () (not (tptp.rel_s5 @t44 @t49))) % 0.38/0.64 (define @t266 () (_ @t40 @t49 @t44)) % 0.38/0.64 (define @t267 () (_ @t40 @t44 @t49)) % 0.38/0.64 (define @t268 () (not @t267)) % 0.38/0.64 (define @t269 () (not @t52)) % 0.38/0.64 (define @t270 () (or @t269 @t51)) % 0.38/0.64 (define @t271 () (tptp.rel_s5 @t252 @t254)) % 0.38/0.64 (define @t272 () (or @t256 @t271)) % 0.38/0.64 (define @t273 () (_ @t40 @t44 @t58)) % 0.38/0.64 (define @t274 () (_ @t40 @t49 @t58)) % 0.38/0.64 (define @t275 () (not @t60)) % 0.38/0.64 (define @t276 () (or @t269 @t275 @t59)) % 0.38/0.64 (define @t277 () (tptp.rel_s5 @t250 @t252)) % 0.38/0.64 (define @t278 () (or @t260 @t256 @t277)) % 0.38/0.64 (define @t279 () (not @t271)) % 0.38/0.64 (define @t280 () (not @t277)) % 0.38/0.64 (define @t281 () (or @t280 @t253 @t279 @t258)) % 0.38/0.64 (define @t282 () (not @t281)) % 0.38/0.64 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.64 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.38/0.64 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.38/0.64 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.38/0.64 (assume @p5 @t1) % 0.38/0.64 (assume @p6 true) % 0.38/0.64 (step @p7 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.38/0.64 (step @p8 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.38/0.64 (step @p9 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.38/0.64 (step @p10 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.38/0.64 (step @p11 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.38/0.64 (step @p12 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.38/0.64 (step @p13 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.38/0.64 (step @p14 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.38/0.64 (step @p15 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.38/0.64 (step @p16 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.38/0.64 (step @p17 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.38/0.64 (step @p18 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.38/0.64 (step @p19 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.38/0.64 (step @p20 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.38/0.64 (step @p21 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.38/0.64 (step @p22 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.38/0.64 (step @p23 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.38/0.64 (step @p24 (= tptp.msymmetric @t55) :rule refl :args (@t55)) % 0.38/0.64 (step @p25 (= tptp.mserial @t57) :rule refl :args (@t57)) % 0.38/0.64 (step @p26 (= tptp.mtransitive @t64) :rule refl :args (@t64)) % 0.38/0.64 (step @p27 (= tptp.meuclidean @t66) :rule refl :args (@t66)) % 0.38/0.64 (step @p28 (= tptp.mpartially_functional @t68) :rule refl :args (@t68)) % 0.38/0.64 (step @p29 (= tptp.mfunctional @t70) :rule refl :args (@t70)) % 0.38/0.64 (step @p30 (= tptp.mweakly_dense @t73) :rule refl :args (@t73)) % 0.38/0.64 (step @p31 (= tptp.mweakly_connected @t74) :rule refl :args (@t74)) % 0.38/0.64 (step @p32 (= tptp.mweakly_directed @t75) :rule refl :args (@t75)) % 0.38/0.64 (step @p33 (= tptp.mvalid @t78) :rule refl :args (@t78)) % 0.38/0.64 (step @p34 (= tptp.minvalid @t79) :rule refl :args (@t79)) % 0.38/0.64 (step @p35 (= tptp.msatisfiable @t80) :rule refl :args (@t80)) % 0.38/0.64 (step @p36 (= tptp.mcountersatisfiable @t81) :rule refl :args (@t81)) % 0.38/0.64 (step @p37 (= tptp.mbox_s5 @t86) :rule refl :args (@t86)) % 0.38/0.64 (step @p38 (= tptp.mdia_s5 @t88) :rule refl :args (@t88)) % 0.38/0.64 (step @p39 :rule aci_norm :args ((= @t105 @t103))) % 0.38/0.64 (step @p40 :rule cong :premises (@p39) :args (@t107)) % 0.38/0.64 (step @p41 :rule quant-merge-prenex :args ((= (forall @t36 @t109) @t107))) % 0.38/0.64 (step @p42 :rule alpha_equiv :args (@t110 (@list @t91 @t89) (@list @t38 @t111))) % 0.38/0.64 (step @p43 :rule refl :args (@t102)) % 0.38/0.64 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t112)) % 0.38/0.64 (step @p45 :rule quant-miniscope-or :args ((= @t109 @t112))) % 0.38/0.64 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.64 (step @p47 :rule symm :premises (@p46)) % 0.38/0.64 (step @p48 :rule cong :premises (@p47) :args ((forall @t36 @t120))) % 0.38/0.64 (step @p49 :rule trans :premises (@p48 @p41)) % 0.38/0.64 (step @p50 :rule trans :premises (@p49 @p40)) % 0.38/0.64 (step @p51 :rule beta-reduce :args ((= @t122 @t120))) % 0.38/0.64 (step @p52 :rule cong :premises (@p51) :args (@t123)) % 0.38/0.64 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.64 (step @p54 :rule beta-reduce :args ((= (_ @t125 @t121) @t123))) % 0.38/0.64 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.64 (step @p56 :rule beta-reduce :args ((= @t127 @t119))) % 0.38/0.64 (step @p57 :rule refl :args (@t102)) % 0.38/0.64 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t128)) % 0.38/0.64 (step @p59 :rule cong :premises (@p58) :args (@t129)) % 0.38/0.64 (step @p60 :rule 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(tptp.rel_s5 @t49 @t44)))))) % 0.38/0.64 (step @p331 :rule refl :args (tptp.rel_s5)) % 0.38/0.64 (step @p332 :rule refl :args (@t266)) % 0.38/0.64 (step @p333 :rule refl :args (@t51)) % 0.38/0.64 (step @p334 :rule cong :premises (@p333 @p332) :args ((= @t51 @t266))) % 0.38/0.64 (step @p335 :rule symm :premises (@p334)) % 0.38/0.64 (step @p336 :rule eq_resolve :premises (@p333 @p335)) % 0.38/0.64 (step @p337 :rule refl :args (@t267)) % 0.38/0.64 (step @p338 :rule refl :args (@t52)) % 0.38/0.64 (step @p339 :rule cong :premises (@p338 @p337) :args ((= @t52 @t267))) % 0.38/0.64 (step @p340 :rule symm :premises (@p339)) % 0.38/0.64 (step @p341 :rule eq_resolve :premises (@p338 @p340)) % 0.38/0.64 (step @p342 :rule cong :premises (@p341) :args (@t269)) % 0.38/0.64 (step @p343 :rule nary_cong :premises (@p342 @p336) :args (@t270)) % 0.38/0.64 (step @p344 :rule cong :premises (@p343) :args ((forall @t53 @t270))) % 0.38/0.64 (step @p345 :rule bool-impl-elim :args (@t52 @t51)) % 0.38/0.64 (step @p346 :rule cong :premises (@p345) :args (@t54)) % 0.38/0.64 (step @p347 :rule trans :premises (@p346 @p344)) % 0.38/0.64 (step @p348 :rule cong :premises (@p347) :args (@t55)) % 0.38/0.64 (step @p349 :rule trans :premises (@p24 @p348)) % 0.38/0.64 (step @p350 :rule ho_cong :premises (@p349 @p331)) % 0.38/0.64 (step @p351 :rule trans :premises (@p350 @p330)) % 0.38/0.64 (step @p352 :rule eq_resolve :premises (@p4 @p351)) % 0.38/0.64 (step @p353 :rule instantiate :premises (@p352) :args ((@list @t254 @t252))) % 0.38/0.64 (step @p354 :rule bool-double-not-elim :args (@t255)) % 0.38/0.64 (step @p355 :rule nary_cong :premises (@p324 @p354) :args ((or @t262 (not @t256)))) % 0.38/0.64 (step @p356 :rule cnf_or_neg :args (@t262 3)) % 0.38/0.64 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.38/0.64 (step @p358 :rule reordering :premises (@p357) :args ((or @t255 @t262))) % 0.38/0.64 (step @p359 :rule chain_m_resolution :premises (@p358 @p322) :args (@t255 @t263 @t264)) % 0.38/0.64 (step @p360 :rule cnf_or_pos :args (@t272)) % 0.38/0.64 (step @p361 :rule reordering :premises (@p360) :args ((or @t256 @t271 (not @t272)))) % 0.38/0.64 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p353) :args (@t271 (@list false false) (@list @t255 @t272))) % 0.38/0.64 (step @p363 :rule beta-reduce :args ((= (_ (lambda @t47 (forall @t62 (or @t268 (not @t274) @t273))) tptp.rel_s5) (forall @t62 (or @t265 (not (tptp.rel_s5 @t49 @t58)) (tptp.rel_s5 @t44 @t58)))))) % 0.38/0.64 (step @p364 :rule refl :args (@t273)) % 0.38/0.64 (step @p365 :rule refl :args (@t59)) % 0.38/0.64 (step @p366 :rule cong :premises (@p365 @p364) :args ((= @t59 @t273))) % 0.38/0.64 (step @p367 :rule symm :premises (@p366)) % 0.38/0.64 (step @p368 :rule eq_resolve :premises (@p365 @p367)) % 0.38/0.64 (step @p369 :rule refl :args (@t274)) % 0.38/0.64 (step @p370 :rule refl :args (@t60)) % 0.38/0.64 (step @p371 :rule cong :premises (@p370 @p369) :args ((= @t60 @t274))) % 0.38/0.64 (step @p372 :rule symm :premises (@p371)) % 0.38/0.64 (step @p373 :rule eq_resolve :premises (@p370 @p372)) % 0.38/0.64 (step @p374 :rule cong :premises (@p373) :args (@t275)) % 0.38/0.64 (step @p375 :rule nary_cong :premises (@p342 @p374 @p368) :args (@t276)) % 0.38/0.64 (step @p376 :rule cong :premises (@p375) :args ((forall @t62 @t276))) % 0.38/0.64 (step @p377 :rule aci_norm :args ((= (or (or @t269 @t275) @t59) @t276))) % 0.38/0.64 (step @p378 :rule bool-and-de-morgan :args (@t52 @t60 true)) % 0.38/0.64 (step @p379 :rule nary_cong :premises (@p378 @p365) :args ((or (not @t61) @t59))) % 0.38/0.64 (step @p380 :rule trans :premises (@p379 @p377)) % 0.38/0.64 (step @p381 :rule bool-impl-elim :args (@t61 @t59)) % 0.38/0.64 (step @p382 :rule trans :premises (@p381 @p380)) % 0.38/0.64 (step @p383 :rule cong :premises (@p382) :args (@t63)) % 0.38/0.64 (step @p384 :rule trans :premises (@p383 @p376)) % 0.38/0.64 (step @p385 :rule cong :premises (@p384) :args (@t64)) % 0.38/0.64 (step @p386 :rule trans :premises (@p26 @p385)) % 0.38/0.64 (step @p387 :rule ho_cong :premises (@p386 @p331)) % 0.38/0.64 (step @p388 :rule trans :premises (@p387 @p363)) % 0.38/0.64 (step @p389 :rule eq_resolve :premises (@p3 @p388)) % 0.38/0.64 (step @p390 :rule instantiate :premises (@p389) :args ((@list @t250 @t254 @t252))) % 0.38/0.64 (step @p391 :rule bool-double-not-elim :args (@t259)) % 0.38/0.64 (step @p392 :rule nary_cong :premises (@p324 @p391) :args ((or @t262 (not @t260)))) % 0.38/0.64 (step @p393 :rule cnf_or_neg :args (@t262 1)) % 0.38/0.64 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.38/0.64 (step @p395 :rule reordering :premises (@p394) :args ((or @t259 @t262))) % 0.38/0.64 (step @p396 :rule chain_m_resolution :premises (@p395 @p322) :args (@t259 @t263 @t264)) % 0.38/0.64 (step @p397 :rule cnf_or_pos :args (@t278)) % 0.38/0.64 (step @p398 :rule reordering :premises (@p397) :args ((or @t260 @t256 @t277 (not @t278)))) % 0.38/0.64 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p359 @p390) :args (@t277 (@list false false false) (@list @t259 @t255 @t278))) % 0.38/0.64 (step @p400 :rule cnf_or_neg :args (@t262 4)) % 0.38/0.64 (step @p401 :rule chain_m_resolution :premises (@p400 @p322) :args ((not @t253) @t263 @t264)) % 0.38/0.64 (step @p402 :rule bool-double-not-elim :args (@t257)) % 0.38/0.64 (step @p403 :rule nary_cong :premises (@p324 @p402) :args ((or @t262 (not @t258)))) % 0.38/0.64 (step @p404 :rule cnf_or_neg :args (@t262 2)) % 0.38/0.64 (step @p405 :rule eq_resolve :premises (@p404 @p403)) % 0.38/0.64 (step @p406 :rule reordering :premises (@p405) :args ((or @t257 @t262))) % 0.38/0.64 (step @p407 :rule chain_m_resolution :premises (@p406 @p322) :args (@t257 @t263 @t264)) % 0.38/0.64 (step @p408 :rule cnf_or_pos :args (@t281)) % 0.38/0.64 (step @p409 :rule reordering :premises (@p408) :args ((or @t258 @t253 @t280 @t279 @t282))) % 0.38/0.64 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p401 @p399 @p362) :args (@t282 (@list false true false false) (@list @t257 @t253 @t277 @t271))) % 0.38/0.64 (assume-push @p417 @t251) % 0.38/0.64 (step @p412 :rule instantiate :premises (@p329) :args ((@list @t252 @t254))) % 0.38/0.64 (step-pop @p418 :rule scope :premises (@p412)) % 0.38/0.64 (step @p413 :rule process_scope :premises (@p418) :args (@t281)) % 0.38/0.64 (step @p415 :rule implies_elim :premises (@p413)) % 0.38/0.64 (step @p416 false :rule chain_m_resolution :premises (@p415 @p410 @p329) :args (false (@list true false) (@list @t281 @t251))) % 0.38/0.64 ) % 0.38/0.64 % SZS output end Proof % 0.38/0.64 % cvc5 exiting %------------------------------------------------------------------------------