%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO433^1 : 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 : n006.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 09:12:38 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO433^1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 00:07:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-sort tptp.mu 0) % 0.38/0.61 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.61 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.61 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.61 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.38/0.61 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.61 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.61 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.61 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.61 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.38/0.61 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.61 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.38/0.61 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.38/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.38/0.61 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.38/0.61 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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)))))))) % 0.38/0.61 (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))))) % 0.38/0.61 (define @t1 () (_ tptp.mbox_s4 tptp.q)) % 0.38/0.61 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mdia_s4 tptp.p)) @t1)) (_ tptp.mdia_s4 (_ (_ tptp.mand tptp.p) @t1)))))) % 0.38/0.61 (define @t3 () (@var "Y" tptp.mu)) % 0.38/0.61 (define @t4 () (@var "X" tptp.mu)) % 0.38/0.61 (define @t5 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.38/0.61 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.61 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.61 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.38/0.61 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t11 () (_ @t10 @t5)) % 0.38/0.61 (define @t12 () (not @t11)) % 0.38/0.61 (define @t13 () (@list @t10 @t5)) % 0.38/0.61 (define @t14 () (lambda @t13 @t12)) % 0.38/0.61 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t16 () (_ @t15 @t5)) % 0.38/0.61 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.38/0.61 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.61 (define @t19 () (_ tptp.mnot @t15)) % 0.38/0.61 (define @t20 () (_ tptp.mnot @t10)) % 0.38/0.61 (define @t21 () (_ tptp.mor @t20)) % 0.38/0.61 (define @t22 () (@list @t10 @t15 @t18)) % 0.38/0.61 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.38/0.61 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.38/0.61 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.38/0.61 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.38/0.61 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.38/0.61 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.61 (define @t29 () (_ @t28 @t4)) % 0.38/0.61 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.38/0.61 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.61 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.61 (define @t33 () (_ @t32 @t31)) % 0.38/0.61 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.38/0.61 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.38/0.61 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.38/0.61 (define @t37 () (@list @t5)) % 0.38/0.61 (define @t38 () (lambda @t37 true)) % 0.38/0.61 (define @t39 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t40 () (_ @t10 @t39)) % 0.38/0.61 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t42 () (@list @t39)) % 0.38/0.61 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.38/0.61 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.38/0.61 (define @t45 () (@var "S" $$unsorted)) % 0.38/0.61 (define @t46 () (_ @t41 @t45)) % 0.38/0.61 (define @t47 () (@list @t45)) % 0.38/0.61 (define @t48 () (@list @t41)) % 0.38/0.61 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.38/0.61 (define @t50 () (@var "T" $$unsorted)) % 0.38/0.61 (define @t51 () (_ @t41 @t50)) % 0.38/0.61 (define @t52 () (_ @t46 @t50)) % 0.38/0.61 (define @t53 () (lambda @t48 (forall (@list @t45 @t50) (=> @t52 (_ @t51 @t45))))) % 0.38/0.61 (define @t54 () (@list @t50)) % 0.38/0.61 (define @t55 () (lambda @t48 (forall @t47 (exists @t54 @t52)))) % 0.38/0.61 (define @t56 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t57 () (_ @t46 @t56)) % 0.38/0.61 (define @t58 () (_ @t51 @t56)) % 0.38/0.61 (define @t59 () (and @t52 @t58)) % 0.38/0.61 (define @t60 () (@list @t45 @t50 @t56)) % 0.38/0.61 (define @t61 () (forall @t60 (=> @t59 @t57))) % 0.38/0.61 (define @t62 () (lambda @t48 @t61)) % 0.38/0.61 (define @t63 () (and @t52 @t57)) % 0.38/0.61 (define @t64 () (lambda @t48 (forall @t60 (=> @t63 @t58)))) % 0.38/0.61 (define @t65 () (= @t50 @t56)) % 0.38/0.61 (define @t66 () (lambda @t48 (forall @t60 (=> @t63 @t65)))) % 0.38/0.61 (define @t67 () (@list @t56)) % 0.38/0.61 (define @t68 () (lambda @t48 (forall @t47 (exists @t54 (and @t52 (forall @t67 (=> @t57 @t65))))))) % 0.38/0.61 (define @t69 () (_ @t41 @t56)) % 0.38/0.61 (define @t70 () (_ @t69 @t50)) % 0.38/0.61 (define @t71 () (lambda @t48 (forall @t60 (=> @t52 (exists @t67 (and @t57 @t70)))))) % 0.38/0.61 (define @t72 () (lambda @t48 (forall @t60 (=> @t63 (or @t58 @t65 @t70))))) % 0.38/0.61 (define @t73 () (lambda @t48 (forall @t60 (=> @t63 (exists @t42 (and (_ @t51 @t39) (_ @t69 @t39))))))) % 0.38/0.61 (define @t74 () (forall @t37 @t11)) % 0.38/0.61 (define @t75 () (@list @t10)) % 0.38/0.61 (define @t76 () (lambda @t75 @t74)) % 0.38/0.61 (define @t77 () (lambda @t75 (forall @t37 @t12))) % 0.38/0.61 (define @t78 () (lambda @t75 (exists @t37 @t11))) % 0.38/0.61 (define @t79 () (lambda @t75 (exists @t37 @t12))) % 0.38/0.61 (define @t80 () (_ (_ tptp.rel_s4 @t5) @t39)) % 0.38/0.61 (define @t81 () (not @t80)) % 0.38/0.61 (define @t82 () (or @t81 @t40)) % 0.38/0.61 (define @t83 () (forall @t42 @t82)) % 0.38/0.61 (define @t84 () (lambda @t13 @t83)) % 0.38/0.61 (define @t85 () (@list @t10 @t18)) % 0.38/0.61 (define @t86 () (lambda @t85 (_ (_ tptp.mnot (_ tptp.mbox_s4 @t20)) @t18))) % 0.38/0.61 (define @t87 () (@var "BOUND_VARIABLE_8532" $$unsorted)) % 0.38/0.61 (define @t88 () (not (tptp.p @t87))) % 0.38/0.61 (define @t89 () (not (tptp.rel_s4 @t5 @t87))) % 0.38/0.61 (define @t90 () (tptp.q @t39)) % 0.38/0.61 (define @t91 () (tptp.rel_s4 @t5 @t39)) % 0.38/0.61 (define @t92 () (not @t91)) % 0.38/0.61 (define @t93 () (forall @t42 (or @t92 @t90))) % 0.38/0.61 (define @t94 () (not @t93)) % 0.38/0.61 (define @t95 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 0.38/0.61 (define @t96 () (tptp.q @t95)) % 0.38/0.61 (define @t97 () (@list @t95)) % 0.38/0.61 (define @t98 () (not (forall @t97 (or (not (tptp.rel_s4 @t39 @t95)) @t96)))) % 0.38/0.61 (define @t99 () (tptp.p @t39)) % 0.38/0.61 (define @t100 () (not @t99)) % 0.38/0.61 (define @t101 () (not (forall @t42 (or @t92 @t100 @t98)))) % 0.38/0.61 (define @t102 () (or @t101 @t94 @t89 @t88)) % 0.38/0.61 (define @t103 () (or @t89 @t88)) % 0.38/0.61 (define @t104 () (or @t101 @t103 @t94)) % 0.38/0.61 (define @t105 () (@list @t5 @t87)) % 0.38/0.61 (define @t106 () (forall @t105 @t104)) % 0.38/0.61 (define @t107 () (@list @t87)) % 0.38/0.61 (define @t108 () (forall @t107 @t104)) % 0.38/0.61 (define @t109 () (forall @t107 @t103)) % 0.38/0.61 (define @t110 () (@list @t39)) % 0.38/0.61 (define @t111 () (or @t101 @t109 @t94)) % 0.38/0.61 (define @t112 () (or @t101 (forall @t42 (or @t92 @t100)) @t94)) % 0.38/0.61 (define @t113 () (not (tptp.rel_s4 @t18 @t39))) % 0.38/0.61 (define @t114 () (forall @t42 (or @t113 @t90))) % 0.38/0.61 (define @t115 () (not @t114)) % 0.38/0.61 (define @t116 () (forall @t42 (or @t113 @t100))) % 0.38/0.61 (define @t117 () (not (forall @t42 (or @t113 @t100 @t98)))) % 0.38/0.61 (define @t118 () (@list @t18)) % 0.38/0.61 (define @t119 () (lambda @t118 (or @t117 @t116 @t115))) % 0.38/0.61 (define @t120 () (_ @t119 @t5)) % 0.38/0.61 (define @t121 () (forall @t37 @t120)) % 0.38/0.61 (define @t122 () (_ @t10 @t5)) % 0.38/0.61 (define @t123 () (lambda @t75 (forall @t37 @t122))) % 0.38/0.61 (define @t124 () (lambda @t118 @t117)) % 0.38/0.61 (define @t125 () (_ @t124 @t18)) % 0.38/0.61 (define @t126 () (or @t125 @t116 @t115)) % 0.38/0.61 (define @t127 () (lambda @t118 @t126)) % 0.38/0.61 (define @t128 () (_ @t15 @t18)) % 0.38/0.61 (define @t129 () (or @t128 @t116 @t115)) % 0.38/0.61 (define @t130 () (@list @t15 @t18)) % 0.38/0.61 (define @t131 () (_ tptp.p @t39)) % 0.38/0.61 (define @t132 () (not @t131)) % 0.38/0.61 (define @t133 () (or @t113 @t132 @t98)) % 0.38/0.61 (define @t134 () (or @t132 @t98)) % 0.38/0.61 (define @t135 () (not (_ tptp.p @t18))) % 0.38/0.61 (define @t136 () (or @t135 @t115)) % 0.38/0.61 (define @t137 () (not @t136)) % 0.38/0.61 (define @t138 () (lambda @t118 @t137)) % 0.38/0.61 (define @t139 () (not (_ @t138 @t39))) % 0.38/0.61 (define @t140 () (or @t113 @t139)) % 0.38/0.61 (define @t141 () (forall @t42 @t140)) % 0.38/0.61 (define @t142 () (not @t141)) % 0.38/0.61 (define @t143 () (lambda @t118 @t142)) % 0.38/0.61 (define @t144 () (_ @t10 @t39)) % 0.38/0.61 (define @t145 () (not @t144)) % 0.38/0.61 (define @t146 () (not (forall @t42 (or @t113 @t145)))) % 0.38/0.61 (define @t147 () (lambda @t85 @t146)) % 0.38/0.61 (define @t148 () (lambda @t37 @t93)) % 0.38/0.61 (define @t149 () (_ @t148 @t18)) % 0.38/0.61 (define @t150 () (not @t149)) % 0.38/0.61 (define @t151 () (or @t135 @t150)) % 0.38/0.61 (define @t152 () (not @t151)) % 0.38/0.61 (define @t153 () (lambda @t118 @t152)) % 0.38/0.61 (define @t154 () (not @t128)) % 0.38/0.61 (define @t155 () (lambda @t130 (not (or @t135 @t154)))) % 0.38/0.61 (define @t156 () (lambda @t13 (forall @t42 (or @t92 @t144)))) % 0.38/0.61 (define @t157 () (_ @t156 tptp.q)) % 0.38/0.61 (define @t158 () (not (_ @t10 @t18))) % 0.38/0.61 (define @t159 () (not (or @t158 @t154))) % 0.38/0.61 (define @t160 () (lambda @t22 @t159)) % 0.38/0.61 (define @t161 () (_ @t160 tptp.p)) % 0.38/0.61 (define @t162 () (or @t116 @t115)) % 0.38/0.61 (define @t163 () (not @t162)) % 0.38/0.61 (define @t164 () (lambda @t118 @t163)) % 0.38/0.61 (define @t165 () (_ @t164 @t18)) % 0.38/0.61 (define @t166 () (not @t165)) % 0.38/0.61 (define @t167 () (or @t166 @t128)) % 0.38/0.61 (define @t168 () (lambda @t130 @t167)) % 0.38/0.61 (define @t169 () (or @t158 @t128)) % 0.38/0.61 (define @t170 () (lambda @t22 @t169)) % 0.38/0.61 (define @t171 () (or @t116 @t150)) % 0.38/0.61 (define @t172 () (not @t171)) % 0.38/0.61 (define @t173 () (lambda @t118 @t172)) % 0.38/0.61 (define @t174 () (not @t116)) % 0.38/0.61 (define @t175 () (lambda @t118 @t174)) % 0.38/0.61 (define @t176 () (_ @t175 @t18)) % 0.38/0.61 (define @t177 () (not @t176)) % 0.38/0.61 (define @t178 () (or @t177 @t154)) % 0.38/0.61 (define @t179 () (not @t178)) % 0.38/0.61 (define @t180 () (lambda @t130 @t179)) % 0.38/0.61 (define @t181 () (_ @t147 tptp.p)) % 0.38/0.61 (define @t182 () (not @t16)) % 0.38/0.61 (define @t183 () (or @t12 @t182)) % 0.38/0.61 (define @t184 () (lambda @t37 @t183)) % 0.38/0.61 (define @t185 () (_ @t184 @t5)) % 0.38/0.61 (define @t186 () (not @t185)) % 0.38/0.61 (define @t187 () (lambda @t37 @t186)) % 0.38/0.61 (define @t188 () (lambda @t37 @t182)) % 0.38/0.61 (define @t189 () (_ @t188 @t5)) % 0.38/0.61 (define @t190 () (or @t12 @t189)) % 0.38/0.61 (define @t191 () (lambda @t37 @t190)) % 0.38/0.61 (define @t192 () (or @t12 @t16)) % 0.38/0.61 (define @t193 () (@list @t15 @t5)) % 0.38/0.61 (define @t194 () (lambda @t193 @t192)) % 0.38/0.61 (define @t195 () (lambda @t37 @t12)) % 0.38/0.61 (define @t196 () (_ @t195 @t5)) % 0.38/0.61 (define @t197 () (or @t196 @t16)) % 0.38/0.61 (define @t198 () (lambda @t193 @t197)) % 0.38/0.61 (define @t199 () (forall @t42 (or @t92 @t145))) % 0.38/0.61 (define @t200 () (lambda @t37 @t199)) % 0.38/0.61 (define @t201 () (_ @t200 @t5)) % 0.38/0.61 (define @t202 () (not @t201)) % 0.38/0.61 (define @t203 () (lambda @t37 @t202)) % 0.38/0.61 (define @t204 () (not @t40)) % 0.38/0.61 (define @t205 () (or @t92 @t204)) % 0.38/0.61 (define @t206 () (_ @t195 @t39)) % 0.38/0.61 (define @t207 () (or @t92 @t206)) % 0.38/0.61 (define @t208 () (forall @t42 @t207)) % 0.38/0.61 (define @t209 () (lambda @t37 @t208)) % 0.38/0.61 (define @t210 () (lambda @t37 @t192)) % 0.38/0.61 (define @t211 () (forall @t105 @t102)) % 0.38/0.61 (define @t212 () (@quantifiers_skolemize @t211 0)) % 0.38/0.61 (define @t213 () (not (tptp.rel_s4 @t212 @t39))) % 0.38/0.61 (define @t214 () (forall @t42 (or @t213 @t100 @t98))) % 0.38/0.61 (define @t215 () (@quantifiers_skolemize @t211 1)) % 0.38/0.61 (define @t216 () (tptp.p @t215)) % 0.38/0.61 (define @t217 () (not @t216)) % 0.38/0.61 (define @t218 () (tptp.rel_s4 @t212 @t215)) % 0.38/0.61 (define @t219 () (not @t218)) % 0.38/0.61 (define @t220 () (forall @t42 (or @t213 @t90))) % 0.38/0.61 (define @t221 () (not @t220)) % 0.38/0.61 (define @t222 () (not @t214)) % 0.38/0.61 (define @t223 () (or @t222 @t221 @t219 @t217)) % 0.38/0.61 (define @t224 () (@list true)) % 0.38/0.61 (define @t225 () (@list @t223)) % 0.38/0.61 (define @t226 () (forall @t97 (or (not (tptp.rel_s4 @t215 @t95)) @t96))) % 0.38/0.61 (define @t227 () (not @t226)) % 0.38/0.61 (define @t228 () (or @t219 @t217 @t227)) % 0.38/0.61 (define @t229 () (@list false false false)) % 0.38/0.61 (define @t230 () (@quantifiers_skolemize @t226 0)) % 0.38/0.61 (define @t231 () (tptp.q @t230)) % 0.38/0.61 (define @t232 () (tptp.rel_s4 @t215 @t230)) % 0.38/0.61 (define @t233 () (not @t232)) % 0.38/0.61 (define @t234 () (or @t233 @t231)) % 0.38/0.61 (define @t235 () (@list @t234)) % 0.38/0.61 (define @t236 () (_ @t41 @t45 @t56)) % 0.38/0.61 (define @t237 () (_ @t41 @t50 @t56)) % 0.38/0.61 (define @t238 () (_ @t41 @t45 @t50)) % 0.38/0.61 (define @t239 () (not @t58)) % 0.38/0.61 (define @t240 () (not @t52)) % 0.38/0.61 (define @t241 () (or @t240 @t239 @t57)) % 0.38/0.61 (define @t242 () (tptp.rel_s4 @t212 @t230)) % 0.38/0.61 (define @t243 () (or @t219 @t233 @t242)) % 0.38/0.61 (define @t244 () (not @t242)) % 0.38/0.61 (define @t245 () (or @t244 @t231)) % 0.38/0.61 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.61 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.38/0.61 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.38/0.61 (assume @p4 @t2) % 0.38/0.61 (assume @p5 true) % 0.38/0.61 (step @p6 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.38/0.61 (step @p7 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.38/0.61 (step @p8 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.38/0.61 (step @p9 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.38/0.61 (step @p10 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.38/0.61 (step @p11 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.38/0.61 (step @p12 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.38/0.61 (step @p13 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.38/0.61 (step @p14 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.38/0.61 (step @p15 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.38/0.61 (step @p16 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.38/0.61 (step @p17 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.38/0.61 (step @p18 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.38/0.61 (step @p19 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.38/0.61 (step @p20 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.38/0.61 (step @p21 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.38/0.61 (step @p22 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.38/0.61 (step @p23 (= tptp.msymmetric @t53) :rule refl :args (@t53)) % 0.38/0.61 (step @p24 (= tptp.mserial @t55) :rule refl :args (@t55)) % 0.38/0.61 (step @p25 (= tptp.mtransitive @t62) :rule refl :args (@t62)) % 0.38/0.61 (step @p26 (= tptp.meuclidean @t64) :rule refl :args (@t64)) % 0.38/0.61 (step @p27 (= tptp.mpartially_functional @t66) :rule refl :args (@t66)) % 0.38/0.61 (step @p28 (= tptp.mfunctional @t68) :rule refl :args (@t68)) % 0.38/0.61 (step @p29 (= tptp.mweakly_dense @t71) :rule refl :args (@t71)) % 0.38/0.61 (step @p30 (= tptp.mweakly_connected @t72) :rule refl :args (@t72)) % 0.38/0.61 (step @p31 (= tptp.mweakly_directed @t73) :rule refl :args (@t73)) % 0.38/0.61 (step @p32 (= tptp.mvalid @t76) :rule refl :args (@t76)) % 0.38/0.61 (step @p33 (= tptp.minvalid @t77) :rule refl :args (@t77)) % 0.38/0.61 (step @p34 (= tptp.msatisfiable @t78) :rule refl :args (@t78)) % 0.38/0.61 (step @p35 (= tptp.mcountersatisfiable @t79) :rule refl :args (@t79)) % 0.38/0.61 (step @p36 (= tptp.mbox_s4 @t84) :rule refl :args (@t84)) % 0.38/0.61 (step @p37 (= tptp.mdia_s4 @t86) :rule refl :args (@t86)) % 0.38/0.61 (step @p38 :rule aci_norm :args ((= @t104 @t102))) % 0.38/0.61 (step @p39 :rule cong :premises (@p38) :args (@t106)) % 0.38/0.61 (step @p40 :rule quant-merge-prenex :args ((= (forall @t37 @t108) @t106))) % 0.38/0.61 (step @p41 :rule refl :args (@t94)) % 0.38/0.61 (step @p42 :rule alpha_equiv :args (@t109 (@list @t87) @t110)) % 0.38/0.61 (step @p43 :rule refl :args (@t101)) % 0.38/0.61 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t111)) % 0.38/0.61 (step @p45 :rule quant-miniscope-or :args ((= @t108 @t111))) % 0.38/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.61 (step @p47 :rule symm :premises (@p46)) % 0.38/0.61 (step @p48 :rule cong :premises (@p47) :args ((forall @t37 @t112))) % 0.38/0.61 (step @p49 :rule trans :premises (@p48 @p40)) % 0.38/0.61 (step @p50 :rule trans :premises (@p49 @p39)) % 0.38/0.61 (step @p51 :rule beta-reduce :args ((= @t120 @t112))) % 0.38/0.61 (step @p52 :rule cong :premises (@p51) :args (@t121)) % 0.38/0.61 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.61 (step @p54 :rule beta-reduce :args ((= (_ @t123 @t119) @t121))) % 0.38/0.61 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.61 (step @p56 :rule refl :args (@t115)) % 0.38/0.61 (step @p57 :rule refl :args (@t116)) % 0.38/0.61 (step @p58 :rule beta-reduce :args ((= @t125 @t117))) % 0.38/0.61 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t126)) % 0.38/0.61 (step @p60 :rule cong :premises (@p59) :args (@t127)) % 0.38/0.61 (step @p61 :rule beta-reduce :args ((= (_ (lambda @t130 @t129) @t124) @t127))) % 0.38/0.61 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.61 (step @p63 :rule refl :args (@t98)) % 0.38/0.61 (step @p64 :rule refl :args (@t99)) % 0.38/0.61 (step @p65 :rule refl :args (@t131)) % 0.38/0.61 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t131 @t99))) % 0.38/0.61 (step @p67 :rule symm :premises (@p66)) % 0.38/0.61 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.38/0.61 (step @p69 :rule cong :premises (@p68) :args (@t132)) % 0.38/0.61 (step @p70 :rule refl :args (@t113)) % 0.38/0.61 (step @p71 :rule nary_cong :premises (@p70 @p69 @p63) :args (@t133)) % 0.38/0.61 (step @p72 :rule cong :premises (@p71) :args ((forall @t42 @t133))) % 0.38/0.61 (step @p73 :rule aci_norm :args ((= (or @t113 @t134) @t133))) % 0.38/0.61 (step @p74 :rule bool-double-not-elim :args (@t134)) % 0.38/0.61 (step @p75 :rule beta-reduce :args ((= (_ (lambda @t118 (not (or @t135 (not (forall @t97 (or (not (tptp.rel_s4 @t18 @t95)) @t96)))))) @t39) (not @t134)))) % 0.38/0.61 (step @p76 :rule refl :args (@t39)) % 0.38/0.61 (step @p77 :rule alpha_equiv :args (@t114 @t110 (@list @t95))) % 0.38/0.61 (step @p78 :rule cong :premises (@p77) :args (@t115)) % 0.38/0.61 (step @p79 :rule refl :args (@t135)) % 0.38/0.61 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t136)) % 0.38/0.61 (step @p81 :rule cong :premises (@p80) :args (@t137)) % 0.38/0.61 (step @p82 :rule cong :premises (@p81) :args (@t138)) % 0.38/0.61 (step @p83 :rule ho_cong :premises (@p82 @p76)) % 0.38/0.61 (step @p84 :rule trans :premises (@p83 @p75)) % 0.38/0.61 (step @p85 :rule cong :premises (@p84) :args (@t139)) % 0.38/0.61 (step @p86 :rule trans :premises (@p85 @p74)) % 0.38/0.61 (step @p87 :rule refl :args (@t113)) % 0.38/0.61 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t140)) % 0.38/0.61 (step @p89 :rule trans :premises (@p88 @p73)) % 0.38/0.61 (step @p90 :rule cong :premises (@p89) :args (@t141)) % 0.38/0.61 (step @p91 :rule trans :premises (@p90 @p72)) % 0.38/0.61 (step @p92 :rule cong :premises (@p91) :args (@t142)) % 0.38/0.61 (step @p93 :rule cong :premises (@p92) :args (@t143)) % 0.38/0.61 (step @p94 :rule beta-reduce :args ((= (_ @t147 @t138) @t143))) % 0.38/0.61 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.61 (step @p96 :rule beta-reduce :args ((= @t149 @t114))) % 0.38/0.61 (step @p97 :rule cong :premises (@p96) :args (@t150)) % 0.38/0.61 (step @p98 :rule refl :args (@t135)) % 0.38/0.61 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t151)) % 0.38/0.61 (step @p100 :rule cong :premises (@p99) :args (@t152)) % 0.38/0.61 (step @p101 :rule cong :premises (@p100) :args (@t153)) % 0.38/0.61 (step @p102 :rule beta-reduce :args ((= (_ @t155 @t148) @t153))) % 0.38/0.61 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.61 (step @p104 :rule beta-reduce :args ((= @t157 @t148))) % 0.38/0.61 (step @p105 :rule beta-reduce :args ((= @t161 @t155))) % 0.38/0.61 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 0.38/0.61 (step @p107 :rule trans :premises (@p106 @p103)) % 0.38/0.61 (step @p108 :rule refl :args (@t147)) % 0.38/0.61 (step @p109 :rule ho_cong :premises (@p108 @p107)) % 0.38/0.61 (step @p110 :rule trans :premises (@p109 @p95)) % 0.38/0.61 (step @p111 :rule aci_norm :args ((= (or @t162 @t128) @t129))) % 0.38/0.61 (step @p112 :rule refl :args (@t128)) % 0.38/0.61 (step @p113 :rule bool-double-not-elim :args (@t162)) % 0.38/0.61 (step @p114 :rule beta-reduce :args ((= @t165 @t163))) % 0.38/0.61 (step @p115 :rule cong :premises (@p114) :args (@t166)) % 0.38/0.61 (step @p116 :rule trans :premises (@p115 @p113)) % 0.38/0.61 (step @p117 :rule nary_cong :premises (@p116 @p112) :args (@t167)) % 0.38/0.61 (step @p118 :rule trans :premises (@p117 @p111)) % 0.38/0.61 (step @p119 :rule cong :premises (@p118) :args (@t168)) % 0.38/0.61 (step @p120 :rule beta-reduce :args ((= (_ @t170 @t164) @t168))) % 0.38/0.61 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@t235)) % 0.38/0.61 (step @p301 :rule bool-double-not-elim :args (@t220)) % 0.38/0.61 (step @p302 :rule nary_cong :premises (@p276 @p301) :args ((or @t223 (not @t221)))) % 0.38/0.61 (step @p303 :rule cnf_or_neg :args (@t223 1)) % 0.38/0.61 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.38/0.61 (step @p305 :rule reordering :premises (@p304) :args ((or @t220 @t223))) % 0.38/0.61 (step @p306 :rule chain_m_resolution :premises (@p305 @p274) :args (@t220 @t224 @t225)) % 0.38/0.61 (step @p307 :rule instantiate :premises (@p306) :args ((@list @t230))) % 0.38/0.61 (step @p308 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t60 (or (not @t238) (not @t237) @t236))) tptp.rel_s4) (forall @t60 (or (not (tptp.rel_s4 @t45 @t50)) (not (tptp.rel_s4 @t50 @t56)) (tptp.rel_s4 @t45 @t56)))))) % 0.38/0.61 (step @p309 :rule refl :args (tptp.rel_s4)) % 0.38/0.61 (step @p310 :rule refl :args (@t236)) % 0.38/0.61 (step @p311 :rule refl :args (@t57)) % 0.38/0.61 (step @p312 :rule cong :premises (@p311 @p310) :args ((= @t57 @t236))) % 0.38/0.61 (step @p313 :rule symm :premises (@p312)) % 0.38/0.61 (step @p314 :rule eq_resolve :premises (@p311 @p313)) % 0.38/0.61 (step @p315 :rule refl :args (@t237)) % 0.38/0.61 (step @p316 :rule refl :args (@t58)) % 0.38/0.61 (step @p317 :rule cong :premises (@p316 @p315) :args ((= @t58 @t237))) % 0.38/0.61 (step @p318 :rule symm :premises (@p317)) % 0.38/0.61 (step @p319 :rule eq_resolve :premises (@p316 @p318)) % 0.38/0.61 (step @p320 :rule cong :premises (@p319) :args (@t239)) % 0.38/0.61 (step @p321 :rule refl :args (@t238)) % 0.38/0.61 (step @p322 :rule refl :args (@t52)) % 0.38/0.61 (step @p323 :rule cong :premises (@p322 @p321) :args ((= @t52 @t238))) % 0.38/0.61 (step @p324 :rule symm :premises (@p323)) % 0.38/0.61 (step @p325 :rule eq_resolve :premises (@p322 @p324)) % 0.38/0.61 (step @p326 :rule cong :premises (@p325) :args (@t240)) % 0.38/0.61 (step @p327 :rule nary_cong :premises (@p326 @p320 @p314) :args (@t241)) % 0.38/0.61 (step @p328 :rule cong :premises (@p327) :args ((forall @t60 @t241))) % 0.38/0.61 (step @p329 :rule aci_norm :args ((= (or (or @t240 @t239) @t57) @t241))) % 0.38/0.61 (step @p330 :rule bool-and-de-morgan :args (@t52 @t58 true)) % 0.38/0.61 (step @p331 :rule nary_cong :premises (@p330 @p311) :args ((or (not @t59) @t57))) % 0.38/0.61 (step @p332 :rule trans :premises (@p331 @p329)) % 0.38/0.61 (step @p333 :rule bool-impl-elim :args (@t59 @t57)) % 0.38/0.61 (step @p334 :rule trans :premises (@p333 @p332)) % 0.38/0.61 (step @p335 :rule cong :premises (@p334) :args (@t61)) % 0.38/0.61 (step @p336 :rule trans :premises (@p335 @p328)) % 0.38/0.61 (step @p337 :rule cong :premises (@p336) :args (@t62)) % 0.38/0.61 (step @p338 :rule trans :premises (@p25 @p337)) % 0.38/0.61 (step @p339 :rule ho_cong :premises (@p338 @p309)) % 0.38/0.61 (step @p340 :rule trans :premises (@p339 @p308)) % 0.38/0.61 (step @p341 :rule eq_resolve :premises (@p3 @p340)) % 0.38/0.61 (step @p342 :rule instantiate :premises (@p341) :args ((@list @t212 @t215 @t230))) % 0.38/0.61 (step @p343 :rule bool-double-not-elim :args (@t232)) % 0.38/0.61 (step @p344 :rule refl :args (@t234)) % 0.38/0.61 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t234 (not @t233)))) % 0.38/0.61 (step @p346 :rule cnf_or_neg :args (@t234 0)) % 0.38/0.61 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.38/0.61 (step @p348 :rule reordering :premises (@p347) :args ((or @t232 @t234))) % 0.38/0.61 (step @p349 :rule chain_m_resolution :premises (@p348 @p298) :args (@t232 @t224 @t235)) % 0.38/0.61 (step @p350 :rule cnf_or_pos :args (@t243)) % 0.38/0.61 (step @p351 :rule reordering :premises (@p350) :args ((or @t219 @t233 @t242 (not @t243)))) % 0.38/0.61 (step @p352 :rule chain_m_resolution :premises (@p351 @p294 @p349 @p342) :args (@t242 @t229 (@list @t218 @t232 @t243))) % 0.38/0.61 (step @p353 :rule cnf_or_pos :args (@t245)) % 0.38/0.61 (step @p354 :rule reordering :premises (@p353) :args ((or @t231 @t244 (not @t245)))) % 0.38/0.61 (step @p355 false :rule chain_m_resolution :premises (@p354 @p352 @p307 @p300) :args (false (@list false false true) (@list @t242 @t245 @t231))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------