%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO436^1 : 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 : n002.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 09:12:39 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO436^1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:07:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-sort tptp.mu 0) % 0.37/0.60 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.60 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.60 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.60 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (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))))))) % 0.37/0.60 (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))))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.60 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.60 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.60 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.60 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.60 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.37/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.60 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.60 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.37/0.60 (define tptp.mdia_s4 () (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_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.60 (define @t1 () (_ (_ tptp.mor (_ tptp.mbox_s4 tptp.p)) (_ tptp.mbox_s4 tptp.q))) % 0.37/0.60 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies @t1) (_ tptp.mbox_s4 @t1))))) % 0.37/0.60 (define @t3 () (@var "Y" tptp.mu)) % 0.37/0.60 (define @t4 () (@var "X" tptp.mu)) % 0.37/0.60 (define @t5 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.37/0.60 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.60 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.60 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.37/0.60 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.60 (define @t11 () (_ @t10 @t5)) % 0.37/0.60 (define @t12 () (not @t11)) % 0.37/0.60 (define @t13 () (@list @t10 @t5)) % 0.37/0.60 (define @t14 () (lambda @t13 @t12)) % 0.37/0.60 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.60 (define @t16 () (_ @t15 @t5)) % 0.37/0.60 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.37/0.60 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.60 (define @t19 () (_ tptp.mnot @t15)) % 0.37/0.60 (define @t20 () (_ tptp.mnot @t10)) % 0.37/0.60 (define @t21 () (_ tptp.mor @t20)) % 0.37/0.60 (define @t22 () (@list @t10 @t15 @t18)) % 0.37/0.60 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.37/0.60 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.37/0.60 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.37/0.60 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.37/0.60 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.37/0.60 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.60 (define @t29 () (_ @t28 @t4)) % 0.37/0.60 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.37/0.60 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.60 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.60 (define @t33 () (_ @t32 @t31)) % 0.37/0.60 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.37/0.60 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.37/0.60 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.37/0.60 (define @t37 () (@list @t5)) % 0.37/0.60 (define @t38 () (lambda @t37 true)) % 0.37/0.60 (define @t39 () (@var "V" $$unsorted)) % 0.37/0.60 (define @t40 () (_ @t10 @t39)) % 0.37/0.60 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.60 (define @t42 () (@list @t39)) % 0.37/0.60 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.37/0.60 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.37/0.60 (define @t45 () (@var "S" $$unsorted)) % 0.37/0.60 (define @t46 () (_ @t41 @t45)) % 0.37/0.60 (define @t47 () (@list @t45)) % 0.37/0.60 (define @t48 () (@list @t41)) % 0.37/0.60 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.37/0.60 (define @t50 () (@var "T" $$unsorted)) % 0.37/0.60 (define @t51 () (_ @t41 @t50)) % 0.37/0.60 (define @t52 () (_ @t46 @t50)) % 0.37/0.60 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.37/0.60 (define @t54 () (@list @t50)) % 0.37/0.60 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.37/0.60 (define @t56 () (@var "U" $$unsorted)) % 0.37/0.60 (define @t57 () (_ @t46 @t56)) % 0.37/0.60 (define @t58 () (_ @t51 @t56)) % 0.37/0.60 (define @t59 () (and @t52 @t58)) % 0.37/0.60 (define @t60 () (@list @t45 @t50 @t56)) % 0.37/0.60 (define @t61 () (forall @t60 (=> @t59 @t57))) % 0.37/0.60 (define @t62 () (lambda @t48 @t61)) % 0.37/0.60 (define @t63 () (and @t52 @t57)) % 0.37/0.60 (define @t64 () (lambda @t48 (forall @t60 (=> @t63 @t58)))) % 0.37/0.60 (define @t65 () (= @t50 @t56)) % 0.37/0.60 (define @t66 () (lambda @t48 (forall @t60 (=> @t63 @t65)))) % 0.37/0.60 (define @t67 () (@list @t56)) % 0.37/0.60 (define @t68 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t67 (=> @t57 @t65))))))) % 0.37/0.60 (define @t69 () (_ @t41 @t56)) % 0.37/0.60 (define @t70 () (_ @t69 @t50)) % 0.37/0.60 (define @t71 () (lambda @t48 (forall @t60 (=> @t52 (exists @t67 (and @t57 @t70)))))) % 0.37/0.60 (define @t72 () (lambda @t48 (forall @t60 (=> @t63 (or @t58 @t65 @t70))))) % 0.37/0.60 (define @t73 () (lambda @t48 (forall @t60 (=> @t63 (exists @t42 (and (_ @t51 @t39) (_ @t69 @t39))))))) % 0.37/0.60 (define @t74 () (forall @t37 @t11)) % 0.37/0.60 (define @t75 () (@list @t10)) % 0.37/0.60 (define @t76 () (lambda @t75 @t74)) % 0.37/0.60 (define @t77 () (lambda @t75 (forall @t37 @t12))) % 0.37/0.60 (define @t78 () (lambda @t75 (exists @t37 @t11))) % 0.37/0.60 (define @t79 () (lambda @t75 (exists @t37 @t12))) % 0.37/0.60 (define @t80 () (_ (_ tptp.rel_s4 @t5) @t39)) % 0.37/0.60 (define @t81 () (not @t80)) % 0.37/0.60 (define @t82 () (or @t81 @t40)) % 0.37/0.60 (define @t83 () (forall @t42 @t82)) % 0.37/0.60 (define @t84 () (lambda @t13 @t83)) % 0.37/0.60 (define @t85 () (lambda (@list @t10 @t18) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t20)) @t18))) % 0.37/0.60 (define @t86 () (@var "BOUND_VARIABLE_8529" $$unsorted)) % 0.37/0.60 (define @t87 () (tptp.q @t86)) % 0.37/0.60 (define @t88 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 0.37/0.60 (define @t89 () (not (tptp.rel_s4 @t88 @t86))) % 0.37/0.60 (define @t90 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 0.37/0.60 (define @t91 () (tptp.p @t90)) % 0.37/0.60 (define @t92 () (not (tptp.rel_s4 @t88 @t90))) % 0.37/0.60 (define @t93 () (not (tptp.rel_s4 @t5 @t88))) % 0.37/0.60 (define @t94 () (tptp.q @t39)) % 0.37/0.60 (define @t95 () (tptp.rel_s4 @t5 @t39)) % 0.37/0.60 (define @t96 () (not @t95)) % 0.37/0.60 (define @t97 () (forall @t42 (or @t96 @t94))) % 0.37/0.60 (define @t98 () (tptp.p @t39)) % 0.37/0.60 (define @t99 () (forall @t42 (or @t96 @t98))) % 0.37/0.60 (define @t100 () (and (not @t99) (not @t97))) % 0.37/0.60 (define @t101 () (or @t100 @t93 @t92 @t91 @t89 @t87)) % 0.37/0.60 (define @t102 () (or @t93 @t92 @t91 @t89 @t87)) % 0.37/0.60 (define @t103 () (or @t100 @t102)) % 0.37/0.60 (define @t104 () (@list @t5 @t88 @t90 @t86)) % 0.37/0.60 (define @t105 () (forall @t104 @t103)) % 0.37/0.60 (define @t106 () (@list @t88 @t90 @t86)) % 0.37/0.60 (define @t107 () (forall @t106 @t103)) % 0.37/0.60 (define @t108 () (forall @t106 @t102)) % 0.37/0.60 (define @t109 () (@var "BOUND_VARIABLE_8493" $$unsorted)) % 0.37/0.60 (define @t110 () (@var "BOUND_VARIABLE_8487" $$unsorted)) % 0.37/0.60 (define @t111 () (or @t100 @t108)) % 0.37/0.60 (define @t112 () (tptp.q @t109)) % 0.37/0.60 (define @t113 () (not (tptp.rel_s4 @t39 @t109))) % 0.37/0.60 (define @t114 () (tptp.p @t110)) % 0.37/0.60 (define @t115 () (not (tptp.rel_s4 @t39 @t110))) % 0.37/0.60 (define @t116 () (or @t96 @t115 @t114 @t113 @t112)) % 0.37/0.60 (define @t117 () (@list @t39 @t110 @t109)) % 0.37/0.60 (define @t118 () (forall @t117 @t116)) % 0.37/0.60 (define @t119 () (or @t99 @t97)) % 0.37/0.60 (define @t120 () (or (not @t119) @t118)) % 0.37/0.60 (define @t121 () (not (tptp.rel_s4 @t18 @t39))) % 0.37/0.60 (define @t122 () (forall @t117 (or @t121 @t115 @t114 @t113 @t112))) % 0.37/0.60 (define @t123 () (or (forall @t42 (or @t121 @t98)) (forall @t42 (or @t121 @t94)))) % 0.37/0.60 (define @t124 () (not @t123)) % 0.37/0.60 (define @t125 () (@list @t18)) % 0.37/0.60 (define @t126 () (lambda @t125 (or @t124 @t122))) % 0.37/0.60 (define @t127 () (_ @t126 @t5)) % 0.37/0.60 (define @t128 () (forall @t37 @t127)) % 0.37/0.60 (define @t129 () (_ @t10 @t5)) % 0.37/0.60 (define @t130 () (lambda @t75 (forall @t37 @t129))) % 0.37/0.60 (define @t131 () (lambda @t37 @t118)) % 0.37/0.60 (define @t132 () (_ @t131 @t18)) % 0.37/0.60 (define @t133 () (or @t124 @t132)) % 0.37/0.60 (define @t134 () (lambda @t125 @t133)) % 0.37/0.60 (define @t135 () (_ @t15 @t18)) % 0.37/0.60 (define @t136 () (@list @t15 @t18)) % 0.37/0.60 (define @t137 () (or @t113 @t112)) % 0.37/0.60 (define @t138 () (or @t115 @t114)) % 0.37/0.60 (define @t139 () (or @t96 @t138 @t137)) % 0.37/0.60 (define @t140 () (forall @t117 @t139)) % 0.37/0.60 (define @t141 () (forall (@list @t110 @t109) @t139)) % 0.37/0.60 (define @t142 () (forall (@list @t109) @t137)) % 0.37/0.60 (define @t143 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 0.37/0.60 (define @t144 () (@list @t143)) % 0.37/0.60 (define @t145 () (forall (@list @t110) @t138)) % 0.37/0.60 (define @t146 () (@var "BOUND_VARIABLE_8464" $$unsorted)) % 0.37/0.60 (define @t147 () (@list @t146)) % 0.37/0.60 (define @t148 () (or @t96 @t145 @t142)) % 0.37/0.60 (define @t149 () (tptp.q @t143)) % 0.37/0.60 (define @t150 () (@list @t143)) % 0.37/0.60 (define @t151 () (forall @t150 (or (not (tptp.rel_s4 @t39 @t143)) @t149))) % 0.37/0.60 (define @t152 () (tptp.p @t146)) % 0.37/0.60 (define @t153 () (@list @t146)) % 0.37/0.60 (define @t154 () (forall @t153 (or (not (tptp.rel_s4 @t39 @t146)) @t152))) % 0.37/0.60 (define @t155 () (or @t96 @t154 @t151)) % 0.37/0.60 (define @t156 () (or @t154 @t151)) % 0.37/0.60 (define @t157 () (@list @t39)) % 0.37/0.60 (define @t158 () (lambda @t37 @t119)) % 0.37/0.60 (define @t159 () (or @t96 (_ @t158 @t39))) % 0.37/0.60 (define @t160 () (forall @t42 @t159)) % 0.37/0.60 (define @t161 () (lambda @t37 @t160)) % 0.37/0.60 (define @t162 () (_ @t10 @t39)) % 0.37/0.60 (define @t163 () (lambda @t13 (forall @t42 (or @t96 @t162)))) % 0.37/0.60 (define @t164 () (lambda @t37 @t97)) % 0.37/0.60 (define @t165 () (_ @t164 @t5)) % 0.37/0.60 (define @t166 () (or @t99 @t165)) % 0.37/0.60 (define @t167 () (lambda @t37 @t166)) % 0.37/0.60 (define @t168 () (@list @t15 @t5)) % 0.37/0.60 (define @t169 () (_ @t163 tptp.q)) % 0.37/0.60 (define @t170 () (lambda @t37 @t99)) % 0.37/0.60 (define @t171 () (_ @t170 @t5)) % 0.37/0.60 (define @t172 () (or @t171 @t16)) % 0.37/0.60 (define @t173 () (lambda @t168 @t172)) % 0.37/0.60 (define @t174 () (_ @t163 tptp.p)) % 0.37/0.60 (define @t175 () (_ @t158 @t18)) % 0.37/0.60 (define @t176 () (not @t175)) % 0.37/0.60 (define @t177 () (or @t176 @t135)) % 0.37/0.60 (define @t178 () (lambda @t136 @t177)) % 0.37/0.60 (define @t179 () (or (not (_ @t10 @t18)) @t135)) % 0.37/0.60 (define @t180 () (lambda @t22 @t179)) % 0.37/0.60 (define @t181 () (_ (_ @t17 @t174) @t169)) % 0.37/0.60 (define @t182 () (or @t12 @t16)) % 0.37/0.60 (define @t183 () (lambda @t37 @t182)) % 0.37/0.60 (define @t184 () (lambda @t37 @t12)) % 0.37/0.60 (define @t185 () (_ @t184 @t5)) % 0.37/0.60 (define @t186 () (or @t185 @t16)) % 0.37/0.60 (define @t187 () (lambda @t168 @t186)) % 0.37/0.60 (define @t188 () (forall @t104 @t101)) % 0.37/0.60 (define @t189 () (@quantifiers_skolemize @t188 3)) % 0.37/0.60 (define @t190 () (tptp.q @t189)) % 0.37/0.60 (define @t191 () (@quantifiers_skolemize @t188 1)) % 0.37/0.60 (define @t192 () (tptp.rel_s4 @t191 @t189)) % 0.37/0.60 (define @t193 () (not @t192)) % 0.37/0.60 (define @t194 () (@quantifiers_skolemize @t188 2)) % 0.37/0.60 (define @t195 () (tptp.p @t194)) % 0.37/0.60 (define @t196 () (tptp.rel_s4 @t191 @t194)) % 0.37/0.60 (define @t197 () (not @t196)) % 0.37/0.60 (define @t198 () (@quantifiers_skolemize @t188 0)) % 0.37/0.60 (define @t199 () (tptp.rel_s4 @t198 @t191)) % 0.37/0.60 (define @t200 () (not @t199)) % 0.37/0.60 (define @t201 () (not (tptp.rel_s4 @t198 @t39))) % 0.37/0.60 (define @t202 () (forall @t42 (or @t201 @t94))) % 0.37/0.60 (define @t203 () (not @t202)) % 0.37/0.60 (define @t204 () (forall @t42 (or @t201 @t98))) % 0.37/0.60 (define @t205 () (not @t204)) % 0.37/0.60 (define @t206 () (and @t205 @t203)) % 0.37/0.60 (define @t207 () (or @t206 @t200 @t197 @t195 @t193 @t190)) % 0.37/0.60 (define @t208 () (@list true)) % 0.37/0.60 (define @t209 () (@list @t207)) % 0.37/0.60 (define @t210 () (_ @t41 @t45 @t56)) % 0.37/0.60 (define @t211 () (_ @t41 @t50 @t56)) % 0.37/0.60 (define @t212 () (_ @t41 @t45 @t50)) % 0.37/0.60 (define @t213 () (not @t58)) % 0.37/0.60 (define @t214 () (not @t52)) % 0.37/0.60 (define @t215 () (or @t214 @t213 @t57)) % 0.37/0.60 (define @t216 () (tptp.rel_s4 @t198 @t194)) % 0.37/0.60 (define @t217 () (or @t200 @t197 @t216)) % 0.37/0.60 (define @t218 () (@list false false false)) % 0.37/0.60 (define @t219 () (not @t216)) % 0.37/0.60 (define @t220 () (or @t219 @t195)) % 0.37/0.60 (define @t221 () (not @t220)) % 0.37/0.60 (define @t222 () (tptp.rel_s4 @t198 @t189)) % 0.37/0.60 (define @t223 () (not @t222)) % 0.37/0.60 (define @t224 () (or @t223 @t190)) % 0.37/0.60 (define @t225 () (or @t200 @t193 @t222)) % 0.37/0.60 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.60 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.37/0.60 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.37/0.60 (assume @p4 @t2) % 0.37/0.60 (assume @p5 true) % 0.37/0.60 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.37/0.60 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.37/0.60 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.37/0.60 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.37/0.60 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.37/0.60 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.37/0.60 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.37/0.60 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.37/0.60 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.37/0.60 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.37/0.60 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.37/0.60 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.37/0.60 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.37/0.60 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.37/0.60 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.60 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.60 (step @p22 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.37/0.60 (step @p23 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.37/0.60 (step @p24 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.37/0.60 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.37/0.60 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.37/0.60 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.37/0.60 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.37/0.60 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.37/0.60 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.37/0.60 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.37/0.60 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.37/0.60 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.37/0.60 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.37/0.60 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.37/0.60 (step @p36 (= tptp.mbox_s4 @t84) :rule refl :args (@t84)) % 0.37/0.60 (step @p37 (= tptp.mdia_s4 @t85) :rule refl :args (@t85)) % 0.37/0.60 (step @p38 :rule aci_norm :args ((= @t103 @t101))) % 0.37/0.60 (step @p39 :rule cong :premises (@p38) :args (@t105)) % 0.37/0.60 (step @p40 :rule quant-merge-prenex :args ((= (forall @t37 @t107) @t105))) % 0.37/0.60 (step @p41 :rule alpha_equiv :args (@t108 (@list @t88 @t90 @t86) (@list @t39 @t110 @t109))) % 0.37/0.60 (step @p42 :rule refl :args (@t100)) % 0.37/0.60 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t111)) % 0.37/0.60 (step @p44 :rule quant-miniscope-or :args ((= @t107 @t111))) % 0.37/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.60 (step @p46 :rule symm :premises (@p45)) % 0.37/0.60 (step @p47 :rule cong :premises (@p46) :args ((forall @t37 (or @t100 @t118)))) % 0.37/0.60 (step @p48 :rule trans :premises (@p47 @p40)) % 0.37/0.60 (step @p49 :rule trans :premises (@p48 @p39)) % 0.37/0.60 (step @p50 :rule refl :args (@t118)) % 0.37/0.60 (step @p51 :rule bool-or-de-morgan :args (@t99 @t97 false)) % 0.37/0.60 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t120)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args ((forall @t37 @t120))) % 0.37/0.60 (step @p54 :rule trans :premises (@p53 @p49)) % 0.37/0.60 (step @p55 :rule beta-reduce :args ((= @t127 @t120))) % 0.37/0.60 (step @p56 :rule cong :premises (@p55) :args (@t128)) % 0.37/0.60 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.60 (step @p58 :rule beta-reduce :args ((= (_ @t130 @t126) @t128))) % 0.37/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.60 (step @p60 :rule beta-reduce :args ((= @t132 @t122))) % 0.37/0.60 (step @p61 :rule refl :args (@t124)) % 0.37/0.60 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t133)) % 0.37/0.60 (step @p63 :rule cong :premises (@p62) :args (@t134)) % 0.37/0.60 (step @p64 :rule beta-reduce :args ((= (_ (lambda @t136 (or @t124 @t135)) @t131) @t134))) % 0.37/0.60 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.60 (step @p66 :rule aci_norm :args ((= @t139 @t116))) % 0.37/0.60 (step @p67 :rule cong :premises (@p66) :args (@t140)) % 0.37/0.60 (step @p68 :rule quant-merge-prenex :args ((= (forall @t42 @t141) @t140))) % 0.37/0.60 (step @p69 :rule alpha_equiv :args (@t142 (@list @t109) @t144)) % 0.37/0.60 (step @p70 :rule alpha_equiv :args (@t145 (@list @t110) @t147)) % 0.37/0.60 (step @p71 :rule refl :args (@t96)) % 0.37/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t148)) % 0.37/0.60 (step @p73 :rule quant-miniscope-or :args ((= @t141 @t148))) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.60 (step @p75 :rule symm :premises (@p74)) % 0.37/0.60 (step @p76 :rule cong :premises (@p75) :args ((forall @t42 @t155))) % 0.37/0.60 (step @p77 :rule trans :premises (@p76 @p68)) % 0.37/0.60 (step @p78 :rule trans :premises (@p77 @p67)) % 0.37/0.60 (step @p79 :rule aci_norm :args ((= (or @t96 @t156) @t155))) % 0.37/0.60 (step @p80 :rule beta-reduce :args ((= (_ (lambda @t37 (or (forall @t153 (or (not (tptp.rel_s4 @t5 @t146)) @t152)) (forall @t150 (or (not (tptp.rel_s4 @t5 @t143)) @t149)))) @t39) @t156))) % 0.37/0.60 (step @p81 :rule refl :args (@t39)) % 0.37/0.60 (step @p82 :rule alpha_equiv :args (@t97 @t157 @t144)) % 0.37/0.60 (step @p83 :rule alpha_equiv :args (@t99 @t157 @t147)) % 0.37/0.60 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t119)) % 0.37/0.60 (step @p85 :rule cong :premises (@p84) :args (@t158)) % 0.37/0.60 (step @p86 :rule ho_cong :premises (@p85 @p81)) % 0.37/0.60 (step @p87 :rule trans :premises (@p86 @p80)) % 0.37/0.60 (step @p88 :rule refl :args (@t96)) % 0.37/0.60 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t159)) % 0.37/0.60 (step @p90 :rule trans :premises (@p89 @p79)) % 0.37/0.60 (step @p91 :rule cong :premises (@p90) :args (@t160)) % 0.37/0.60 (step @p92 :rule trans :premises (@p91 @p78)) % 0.37/0.60 (step @p93 :rule cong :premises (@p92) :args (@t161)) % 0.37/0.60 (step @p94 :rule beta-reduce :args ((= (_ @t163 @t158) @t161))) % 0.37/0.60 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.60 (step @p96 :rule beta-reduce :args ((= @t165 @t97))) % 0.37/0.60 (step @p97 :rule refl :args (@t99)) % 0.37/0.60 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t166)) % 0.37/0.60 (step @p99 :rule cong :premises (@p98) :args (@t167)) % 0.37/0.60 (step @p100 :rule beta-reduce :args ((= (_ (lambda @t168 (or @t99 @t16)) @t164) @t167))) % 0.37/0.60 (step @p101 :rule trans :premises (@p100 @p99)) % 0.37/0.60 (step @p102 :rule beta-reduce :args ((= @t169 @t164))) % 0.37/0.60 (step @p103 :rule refl :args (@t16)) % 0.37/0.60 (step @p104 :rule beta-reduce :args ((= @t171 @t99))) % 0.37/0.60 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t172)) % 0.37/0.60 (step @p106 :rule cong :premises (@p105) :args (@t173)) % 0.37/0.60 (step @p107 :rule beta-reduce :args ((= (_ @t17 @t170) @t173))) % 0.37/0.60 (step @p108 :rule trans :premises (@p107 @p106)) % 0.37/0.60 (step @p109 :rule beta-reduce :args ((= @t174 @t170))) % 0.37/0.60 (step @p110 :rule refl :args (@t17)) % 0.37/0.60 (step @p111 :rule ho_cong :premises (@p110 @p109)) % 0.37/0.60 (step @p112 :rule trans :premises (@p111 @p108)) % 0.37/0.60 (step @p113 :rule ho_cong :premises (@p112 @p102)) % 0.37/0.60 (step @p114 :rule trans :premises (@p113 @p101)) % 0.37/0.60 (step @p115 :rule refl :args (@t163)) % 0.37/0.60 (step @p116 :rule ho_cong :premises (@p115 @p114)) % 0.37/0.60 (step @p117 :rule trans :premises (@p116 @p95)) % 0.37/0.60 (step @p118 :rule refl :args (@t135)) % 0.37/0.60 (step @p119 :rule beta-reduce :args ((= @t175 @t123))) % 0.37/0.60 (step @p120 :rule cong :premises (@p119) :args (@t176)) % 0.37/0.60 (step @p121 :rule nary_cong :premises (@p120 @p118) :args (@t177)) % 0.37/0.60 (step @p122 :rule cong :premises (@p121) :args (@t178)) % 0.37/0.60 (step @p123 :rule beta-reduce :args ((= (_ @t180 @t158) @t178))) % 0.37/0.60 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.60 (step @p125 :rule refl :args (@t180)) % 0.37/0.60 (step @p126 :rule ho_cong :premises (@p125 @p114)) % 0.37/0.60 (step @p127 :rule trans 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0.37/0.60 (step @p233 :rule instantiate :premises (@p232) :args ((@list @t198 @t191 @t194))) % 0.37/0.60 (step @p234 :rule bool-double-not-elim :args (@t196)) % 0.37/0.60 (step @p235 :rule refl :args (@t207)) % 0.37/0.60 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t207 (not @t197)))) % 0.37/0.60 (step @p237 :rule cnf_or_neg :args (@t207 2)) % 0.37/0.60 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.37/0.60 (step @p239 :rule reordering :premises (@p238) :args ((or @t196 @t207))) % 0.37/0.61 (step @p240 :rule chain_m_resolution :premises (@p239 @p194) :args (@t196 @t208 @t209)) % 0.37/0.61 (step @p241 :rule bool-double-not-elim :args (@t199)) % 0.37/0.61 (step @p242 :rule nary_cong :premises (@p235 @p241) :args ((or @t207 (not @t200)))) % 0.37/0.61 (step @p243 :rule cnf_or_neg :args (@t207 1)) % 0.37/0.61 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 0.37/0.61 (step @p245 :rule reordering :premises (@p244) :args ((or @t199 @t207))) % 0.37/0.61 (step @p246 :rule chain_m_resolution :premises (@p245 @p194) :args (@t199 @t208 @t209)) % 0.37/0.61 (step @p247 :rule cnf_or_pos :args (@t217)) % 0.37/0.61 (step @p248 :rule reordering :premises (@p247) :args ((or @t200 @t197 @t216 (not @t217)))) % 0.37/0.61 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p240 @p233) :args (@t216 @t218 (@list @t199 @t196 @t217))) % 0.37/0.61 (step @p250 :rule cnf_or_neg :args (@t207 3)) % 0.37/0.61 (step @p251 :rule chain_m_resolution :premises (@p250 @p194) :args ((not @t195) @t208 @t209)) % 0.37/0.61 (step @p252 :rule cnf_or_pos :args (@t220)) % 0.37/0.61 (step @p253 :rule reordering :premises (@p252) :args ((or @t195 @t219 @t221))) % 0.37/0.61 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p249) :args (@t221 (@list true false) (@list @t195 @t216))) % 0.37/0.61 (assume-push @p288 @t204) % 0.37/0.61 (step @p256 :rule instantiate :premises (@p288) :args ((@list @t194))) % 0.37/0.61 (step-pop @p289 :rule scope :premises 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:args ((@list @t189))) % 0.37/0.61 (step-pop @p291 :rule scope :premises (@p270)) % 0.37/0.61 (step @p271 :rule process_scope :premises (@p291) :args (@t224)) % 0.37/0.61 (step @p273 :rule implies_elim :premises (@p271)) % 0.37/0.61 (step @p274 :rule chain_m_resolution :premises (@p273 @p268) :args (@t224 (@list false) (@list @t202))) % 0.37/0.61 (step @p275 :rule instantiate :premises (@p232) :args ((@list @t198 @t191 @t189))) % 0.37/0.61 (step @p276 :rule bool-double-not-elim :args (@t192)) % 0.37/0.61 (step @p277 :rule nary_cong :premises (@p235 @p276) :args ((or @t207 (not @t193)))) % 0.37/0.61 (step @p278 :rule cnf_or_neg :args (@t207 4)) % 0.37/0.61 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.37/0.61 (step @p280 :rule reordering :premises (@p279) :args ((or @t192 @t207))) % 0.37/0.61 (step @p281 :rule chain_m_resolution :premises (@p280 @p194) :args (@t192 @t208 @t209)) % 0.37/0.61 (step @p282 :rule cnf_or_pos :args (@t225)) % 0.37/0.61 (step @p283 :rule reordering :premises (@p282) :args ((or @t200 @t193 @t222 (not @t225)))) % 0.37/0.61 (step @p284 :rule chain_m_resolution :premises (@p283 @p246 @p281 @p275) :args (@t222 @t218 (@list @t199 @t192 @t225))) % 0.37/0.61 (step @p285 :rule cnf_or_pos :args (@t224)) % 0.37/0.61 (step @p286 :rule reordering :premises (@p285) :args ((or @t190 @t223 (not @t224)))) % 0.37/0.61 (step @p287 false :rule chain_m_resolution :premises (@p286 @p284 @p274 @p196) :args (false (@list false false true) (@list @t222 @t224 @t190))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------