%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN357^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:08:41 AM UTC 2026 % Result : Theorem 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN357^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:24:45 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.37/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.65 % SZS status Theorem % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort $$unsorted 0) % 0.37/0.65 (declare-sort tptp.mu 0) % 0.37/0.65 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.big_p (-> tptp.mu $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.65 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.65 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.65 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.65 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.65 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.65 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.65 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.65 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.65 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.65 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.65 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.65 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.65 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.65 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.65 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.65 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.65 (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)))))))) % 0.37/0.65 (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)))))))) % 0.37/0.65 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.65 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.65 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.65 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.37/0.65 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.65 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.37/0.65 (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))))))))))))) % 0.37/0.65 (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)))))) % 0.37/0.65 (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)))))) % 0.37/0.65 (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))))))) % 0.37/0.65 (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))))))) % 0.37/0.65 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.37/0.65 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.37/0.65 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.65 (define @t2 () (@var "X" tptp.mu)) % 0.37/0.65 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.37/0.65 (define @t4 () (_ @t3 @t1)) % 0.37/0.65 (define @t5 () (@list @t2)) % 0.37/0.65 (define @t6 () (@list @t1)) % 0.37/0.65 (define @t7 () (@var "W" $$unsorted)) % 0.37/0.65 (define @t8 () (_ @t3 @t7)) % 0.37/0.65 (define @t9 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.65 (define @t10 () (@var "Y" tptp.mu)) % 0.37/0.65 (define @t11 () (_ tptp.big_p @t10)) % 0.37/0.65 (define @t12 () (_ tptp.big_p @t2)) % 0.37/0.65 (define @t13 () (@list @t10 @t9)) % 0.37/0.65 (define @t14 () (lambda @t13 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 @t12)) (_ tptp.mbox_s4 @t11))) @t9))) % 0.37/0.65 (define @t15 () (@list @t2 @t9)) % 0.37/0.65 (define @t16 () (lambda @t15 (_ (_ tptp.mexists_ind @t14) @t9))) % 0.37/0.65 (define @t17 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind @t16))))) % 0.37/0.65 (define @t18 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.65 (define @t19 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.65 (define @t20 () (lambda (@list @t19 @t18 @t7) (= (_ @t19 @t7) (_ @t18 @t7)))) % 0.37/0.65 (define @t21 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.65 (define @t22 () (_ @t21 @t7)) % 0.37/0.65 (define @t23 () (not @t22)) % 0.37/0.65 (define @t24 () (@list @t21 @t7)) % 0.37/0.65 (define @t25 () (lambda @t24 @t23)) % 0.37/0.65 (define @t26 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.65 (define @t27 () (_ @t26 @t7)) % 0.37/0.65 (define @t28 () (lambda (@list @t21 @t26 @t7) (or @t22 @t27))) % 0.37/0.65 (define @t29 () (_ @t21 @t1)) % 0.37/0.65 (define @t30 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.65 (define @t31 () (lambda (@list @t30 @t21 @t7) (forall @t6 (or (not (_ (_ @t30 @t7) @t1)) @t29)))) % 0.37/0.65 (define @t32 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.65 (define @t33 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.65 (define @t34 () (_ @t33 @t32)) % 0.37/0.65 (define @t35 () (lambda (@list @t33 @t7) (forall (@list @t32) (_ @t34 @t7)))) % 0.37/0.65 (define @t36 () (@list @t7)) % 0.37/0.65 (define @t37 () (lambda @t36 true)) % 0.37/0.65 (define @t38 () (_ tptp.mnot @t26)) % 0.37/0.65 (define @t39 () (_ tptp.mnot @t21)) % 0.37/0.65 (define @t40 () (_ tptp.mor @t39)) % 0.37/0.65 (define @t41 () (@list @t21 @t26 @t9)) % 0.37/0.65 (define @t42 () (lambda @t41 (_ (_ tptp.mnot (_ @t40 @t38)) @t9))) % 0.37/0.65 (define @t43 () (lambda @t41 (_ (_ @t40 @t26) @t9))) % 0.37/0.65 (define @t44 () (lambda @t41 (_ (_ (_ tptp.mor @t38) @t21) @t9))) % 0.37/0.65 (define @t45 () (lambda @t41 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t21) @t26)) (_ (_ tptp.mimplies @t26) @t21)) @t9))) % 0.37/0.65 (define @t46 () (lambda @t41 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t21) @t26)) @t9))) % 0.37/0.65 (define @t47 () (lambda (@list @t30 @t21 @t9) (_ (_ tptp.mnot (_ (_ tptp.mbox @t30) @t39)) @t9))) % 0.37/0.65 (define @t48 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.65 (define @t49 () (_ @t48 @t2)) % 0.37/0.65 (define @t50 () (_ @t49 @t7)) % 0.37/0.65 (define @t51 () (forall @t5 (=> @t8 @t50))) % 0.37/0.65 (define @t52 () (@list @t48 @t7)) % 0.37/0.65 (define @t53 () (lambda @t52 @t51)) % 0.37/0.65 (define @t54 () (lambda @t15 (_ (_ tptp.mnot @t49) @t9))) % 0.37/0.65 (define @t55 () (@list @t48 @t9)) % 0.37/0.65 (define @t56 () (lambda @t55 (_ (_ tptp.mnot (_ tptp.mforall_ind @t54)) @t9))) % 0.37/0.65 (define @t57 () (lambda (@list @t33 @t9) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t32 @t9) (_ (_ tptp.mnot @t34) @t9)))) @t9))) % 0.37/0.65 (define @t58 () (@var "S" $$unsorted)) % 0.37/0.65 (define @t59 () (_ @t30 @t58)) % 0.37/0.65 (define @t60 () (@list @t58)) % 0.37/0.65 (define @t61 () (@list @t30)) % 0.37/0.65 (define @t62 () (lambda @t61 (forall @t60 (_ @t59 @t58)))) % 0.37/0.65 (define @t63 () (@var "T" $$unsorted)) % 0.37/0.65 (define @t64 () (_ @t30 @t63)) % 0.37/0.65 (define @t65 () (_ @t59 @t63)) % 0.37/0.65 (define @t66 () (lambda @t61 (forall (@list @t58 @t63) (=> @t65 (_ @t64 @t58))))) % 0.37/0.65 (define @t67 () (@list @t63)) % 0.37/0.65 (define @t68 () (lambda @t61 (forall @t60 (exists @t67 @t65)))) % 0.37/0.65 (define @t69 () (@var "U" $$unsorted)) % 0.37/0.65 (define @t70 () (_ @t59 @t69)) % 0.37/0.65 (define @t71 () (_ @t64 @t69)) % 0.37/0.65 (define @t72 () (@list @t58 @t63 @t69)) % 0.37/0.65 (define @t73 () (lambda @t61 (forall @t72 (=> (and @t65 @t71) @t70)))) % 0.37/0.65 (define @t74 () (and @t65 @t70)) % 0.37/0.65 (define @t75 () (lambda @t61 (forall @t72 (=> @t74 @t71)))) % 0.37/0.65 (define @t76 () (= @t63 @t69)) % 0.37/0.65 (define @t77 () (lambda @t61 (forall @t72 (=> @t74 @t76)))) % 0.37/0.65 (define @t78 () (@list @t69)) % 0.37/0.65 (define @t79 () (lambda @t61 (forall @t60 (exists @t67 (and @t65 (forall @t78 (=> @t70 @t76))))))) % 0.37/0.65 (define @t80 () (_ @t30 @t69)) % 0.37/0.65 (define @t81 () (_ @t80 @t63)) % 0.37/0.65 (define @t82 () (lambda @t61 (forall @t72 (=> @t65 (exists @t78 (and @t70 @t81)))))) % 0.37/0.65 (define @t83 () (lambda @t61 (forall @t72 (=> @t74 (or @t71 @t76 @t81))))) % 0.37/0.65 (define @t84 () (lambda @t61 (forall @t72 (=> @t74 (exists @t6 (and (_ @t64 @t1) (_ @t80 @t1))))))) % 0.37/0.65 (define @t85 () (forall @t36 @t22)) % 0.37/0.65 (define @t86 () (@list @t21)) % 0.37/0.65 (define @t87 () (lambda @t86 @t85)) % 0.37/0.65 (define @t88 () (lambda @t86 (exists @t36 @t22))) % 0.37/0.65 (define @t89 () (lambda @t86 (exists @t36 @t23))) % 0.37/0.65 (define @t90 () (lambda @t86 (forall @t36 @t23))) % 0.37/0.65 (define @t91 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.37/0.65 (define @t92 () (not @t91)) % 0.37/0.65 (define @t93 () (or @t92 @t29)) % 0.37/0.65 (define @t94 () (forall @t6 @t93)) % 0.37/0.65 (define @t95 () (lambda @t24 @t94)) % 0.37/0.65 (define @t96 () (lambda (@list @t21 @t9) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t39)) @t9))) % 0.37/0.65 (define @t97 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 0.37/0.65 (define @t98 () (@var "BOUND_VARIABLE_8564" tptp.mu)) % 0.37/0.65 (define @t99 () (tptp.big_p @t98 @t97)) % 0.37/0.65 (define @t100 () (@var "BOUND_VARIABLE_8614" $$unsorted)) % 0.37/0.65 (define @t101 () (not (tptp.rel_s4 @t100 @t97))) % 0.37/0.65 (define @t102 () (@var "BOUND_VARIABLE_8520" $$unsorted)) % 0.37/0.65 (define @t103 () (@var "BOUND_VARIABLE_8650" tptp.mu)) % 0.37/0.65 (define @t104 () (not (tptp.rel_s4 @t100 @t102))) % 0.37/0.65 (define @t105 () (@list @t102)) % 0.37/0.65 (define @t106 () (not (tptp.rel_s4 @t1 @t100))) % 0.37/0.65 (define @t107 () (@list @t100 @t97)) % 0.37/0.65 (define @t108 () (not (tptp.exists_in_world @t98 @t1))) % 0.37/0.65 (define @t109 () (@list @t98)) % 0.37/0.65 (define @t110 () (not (forall @t109 (or @t108 (not (forall @t107 (or @t106 (not (forall @t105 (or @t104 (tptp.big_p @t103 @t102)))) @t101 @t99))))))) % 0.37/0.65 (define @t111 () (not (tptp.exists_in_world @t103 @t1))) % 0.37/0.65 (define @t112 () (tptp.rel_s4 @t7 @t1)) % 0.37/0.65 (define @t113 () (not @t112)) % 0.37/0.65 (define @t114 () (or @t113 @t111 @t110)) % 0.37/0.65 (define @t115 () (forall (@list @t7 @t1 @t103) @t114)) % 0.37/0.65 (define @t116 () (@list @t1 @t103)) % 0.37/0.65 (define @t117 () (forall @t116 @t114)) % 0.37/0.65 (define @t118 () (lambda @t36 @t117)) % 0.37/0.65 (define @t119 () (_ @t118 @t7)) % 0.37/0.65 (define @t120 () (forall @t36 @t119)) % 0.37/0.65 (define @t121 () (_ @t21 @t7)) % 0.37/0.65 (define @t122 () (lambda @t86 (forall @t36 @t121))) % 0.37/0.65 (define @t123 () (or @t111 @t110)) % 0.37/0.65 (define @t124 () (or @t113 @t123)) % 0.37/0.65 (define @t125 () (forall @t116 @t124)) % 0.37/0.65 (define @t126 () (@list @t103)) % 0.37/0.65 (define @t127 () (forall @t126 @t124)) % 0.37/0.65 (define @t128 () (forall @t126 @t123)) % 0.37/0.65 (define @t129 () (@list @t2)) % 0.37/0.65 (define @t130 () (or @t113 @t128)) % 0.37/0.65 (define @t131 () (tptp.big_p @t2 @t102)) % 0.37/0.65 (define @t132 () (not (forall @t105 (or @t104 @t131)))) % 0.37/0.65 (define @t133 () (forall @t5 (or (not (tptp.exists_in_world @t2 @t1)) (not (forall @t109 (or @t108 (not (forall @t107 (or @t106 @t132 @t101 @t99))))))))) % 0.37/0.65 (define @t134 () (not (tptp.exists_in_world @t98 @t7))) % 0.37/0.65 (define @t135 () (tptp.exists_in_world @t2 @t7)) % 0.37/0.65 (define @t136 () (not @t135)) % 0.37/0.65 (define @t137 () (not (tptp.rel_s4 @t1 @t97))) % 0.37/0.65 (define @t138 () (not (forall @t105 (or (not (tptp.rel_s4 @t1 @t102)) @t131)))) % 0.37/0.65 (define @t139 () (@list @t1 @t97)) % 0.37/0.65 (define @t140 () (forall @t139 (or @t113 @t138 @t137 @t99))) % 0.37/0.65 (define @t141 () (@list @t1)) % 0.37/0.65 (define @t142 () (not @t140)) % 0.37/0.65 (define @t143 () (or @t134 @t142)) % 0.37/0.65 (define @t144 () (forall @t109 @t143)) % 0.37/0.65 (define @t145 () (not @t144)) % 0.37/0.65 (define @t146 () (or @t136 @t145)) % 0.37/0.65 (define @t147 () (forall @t5 @t146)) % 0.37/0.65 (define @t148 () (lambda @t36 @t147)) % 0.37/0.65 (define @t149 () (or @t113 (_ @t148 @t1))) % 0.37/0.65 (define @t150 () (forall @t6 @t149)) % 0.37/0.65 (define @t151 () (lambda @t36 @t150)) % 0.37/0.65 (define @t152 () (_ @t21 @t1)) % 0.37/0.65 (define @t153 () (lambda @t24 (forall @t6 (or @t113 @t152)))) % 0.37/0.65 (define @t154 () (not (tptp.rel_s4 @t9 @t1))) % 0.37/0.65 (define @t155 () (forall @t139 (or @t154 @t138 @t137 @t99))) % 0.37/0.65 (define @t156 () (not (tptp.exists_in_world @t98 @t9))) % 0.37/0.65 (define @t157 () (not (forall @t109 (or @t156 (not @t155))))) % 0.37/0.65 (define @t158 () (lambda @t15 @t157)) % 0.37/0.65 (define @t159 () (_ @t158 @t2 @t7)) % 0.37/0.65 (define @t160 () (or @t136 @t159)) % 0.37/0.65 (define @t161 () (forall @t5 @t160)) % 0.37/0.65 (define @t162 () (lambda @t36 @t161)) % 0.37/0.65 (define @t163 () (_ @t48 @t2 @t7)) % 0.37/0.65 (define @t164 () (lambda @t52 (forall @t5 (or @t136 @t163)))) % 0.37/0.65 (define @t165 () (@list @t9)) % 0.37/0.65 (define @t166 () (tptp.big_p @t10 @t97)) % 0.37/0.65 (define @t167 () (forall @t139 (or @t154 @t138 @t137 @t166))) % 0.37/0.65 (define @t168 () (lambda @t13 @t167)) % 0.37/0.65 (define @t169 () (_ @t168 @t98 @t9)) % 0.37/0.65 (define @t170 () (not @t169)) % 0.37/0.65 (define @t171 () (or @t156 @t170)) % 0.37/0.65 (define @t172 () (forall @t109 @t171)) % 0.37/0.65 (define @t173 () (not @t172)) % 0.37/0.65 (define @t174 () (lambda @t165 @t173)) % 0.37/0.65 (define @t175 () (forall @t5 (or (not (tptp.exists_in_world @t2 @t9)) (not (_ @t48 @t2 @t9))))) % 0.37/0.65 (define @t176 () (not @t175)) % 0.37/0.65 (define @t177 () (lambda @t55 @t176)) % 0.37/0.65 (define @t178 () (or @t113 @t138 @t137 @t166)) % 0.37/0.65 (define @t179 () (or @t137 @t166)) % 0.37/0.65 (define @t180 () (or @t113 @t138 @t179)) % 0.37/0.65 (define @t181 () (forall @t139 @t180)) % 0.37/0.65 (define @t182 () (@list @t97)) % 0.37/0.65 (define @t183 () (forall @t182 @t180)) % 0.37/0.65 (define @t184 () (forall @t182 @t179)) % 0.37/0.65 (define @t185 () (@var "BOUND_VARIABLE_8512" $$unsorted)) % 0.37/0.65 (define @t186 () (@list @t185)) % 0.37/0.65 (define @t187 () (or @t113 @t138 @t184)) % 0.37/0.65 (define @t188 () (tptp.big_p @t10 @t185)) % 0.37/0.65 (define @t189 () (@list @t185)) % 0.37/0.65 (define @t190 () (forall @t189 (or (not (tptp.rel_s4 @t1 @t185)) @t188))) % 0.37/0.65 (define @t191 () (or @t113 @t138 @t190)) % 0.37/0.65 (define @t192 () (or @t138 @t190)) % 0.37/0.65 (define @t193 () (tptp.big_p @t10 @t1)) % 0.37/0.65 (define @t194 () (forall @t6 (or @t154 @t193))) % 0.37/0.65 (define @t195 () (tptp.big_p @t2 @t1)) % 0.37/0.65 (define @t196 () (forall @t6 (or @t154 @t195))) % 0.37/0.65 (define @t197 () (not @t196)) % 0.37/0.65 (define @t198 () (or @t197 @t194)) % 0.37/0.65 (define @t199 () (lambda @t165 @t198)) % 0.37/0.65 (define @t200 () (or @t113 (_ @t199 @t1))) % 0.37/0.65 (define @t201 () (forall @t6 @t200)) % 0.37/0.65 (define @t202 () (lambda @t36 @t201)) % 0.37/0.65 (define @t203 () (lambda @t36 (forall @t6 (or @t113 @t193)))) % 0.37/0.65 (define @t204 () (_ @t203 @t9)) % 0.37/0.65 (define @t205 () (or @t197 @t204)) % 0.37/0.65 (define @t206 () (lambda @t165 @t205)) % 0.37/0.65 (define @t207 () (_ @t26 @t9)) % 0.37/0.65 (define @t208 () (@list @t26 @t9)) % 0.37/0.65 (define @t209 () (_ @t11 @t1)) % 0.37/0.65 (define @t210 () (or @t113 @t209)) % 0.37/0.65 (define @t211 () (_ @t11 @t1)) % 0.37/0.65 (define @t212 () (or @t113 @t211)) % 0.37/0.65 (define @t213 () (forall @t6 @t212)) % 0.37/0.65 (define @t214 () (lambda @t36 @t213)) % 0.37/0.65 (define @t215 () (_ @t153 @t11)) % 0.37/0.65 (define @t216 () (lambda @t36 (forall @t6 (or @t113 @t195)))) % 0.37/0.65 (define @t217 () (_ @t216 @t9)) % 0.37/0.65 (define @t218 () (not @t217)) % 0.37/0.65 (define @t219 () (or @t218 @t207)) % 0.37/0.65 (define @t220 () (lambda @t208 @t219)) % 0.37/0.65 (define @t221 () (or (not (_ @t21 @t9)) @t207)) % 0.37/0.65 (define @t222 () (lambda @t41 @t221)) % 0.37/0.65 (define @t223 () (_ @t12 @t1)) % 0.37/0.65 (define @t224 () (or @t113 @t223)) % 0.37/0.65 (define @t225 () (_ @t12 @t1)) % 0.37/0.65 (define @t226 () (or @t113 @t225)) % 0.37/0.65 (define @t227 () (forall @t6 @t226)) % 0.37/0.65 (define @t228 () (lambda @t36 @t227)) % 0.37/0.65 (define @t229 () (_ @t153 @t12)) % 0.37/0.65 (define @t230 () (lambda @t13 (_ (_ @t153 (_ (_ @t222 @t229) @t215)) @t9))) % 0.37/0.65 (define @t231 () (lambda @t15 (_ (_ @t177 @t230) @t9))) % 0.37/0.65 (define @t232 () (or @t23 @t27)) % 0.37/0.65 (define @t233 () (lambda @t36 @t232)) % 0.37/0.65 (define @t234 () (@list @t26 @t7)) % 0.37/0.65 (define @t235 () (lambda @t36 @t23)) % 0.37/0.65 (define @t236 () (_ @t235 @t7)) % 0.37/0.65 (define @t237 () (or @t236 @t27)) % 0.37/0.65 (define @t238 () (lambda @t234 @t237)) % 0.37/0.65 (define @t239 () (forall @t5 (or @t136 (not @t163)))) % 0.37/0.65 (define @t240 () (lambda @t36 @t239)) % 0.37/0.65 (define @t241 () (_ @t240 @t7)) % 0.37/0.65 (define @t242 () (not @t241)) % 0.37/0.65 (define @t243 () (lambda @t36 @t242)) % 0.37/0.65 (define @t244 () (not @t50)) % 0.37/0.65 (define @t245 () (or @t136 @t244)) % 0.37/0.65 (define @t246 () (not (_ @t49 @t9))) % 0.37/0.65 (define @t247 () (lambda @t15 @t246)) % 0.37/0.65 (define @t248 () (_ @t247 @t2 @t7)) % 0.37/0.65 (define @t249 () (or @t136 @t248)) % 0.37/0.65 (define @t250 () (forall @t5 @t249)) % 0.37/0.65 (define @t251 () (lambda @t36 @t250)) % 0.37/0.65 (define @t252 () (lambda @t36 @t244)) % 0.37/0.65 (define @t253 () (_ @t25 @t49)) % 0.37/0.65 (define @t254 () (not @t8)) % 0.37/0.65 (define @t255 () (or @t254 @t50)) % 0.37/0.65 (define @t256 () (@quantifiers_skolemize @t115 2)) % 0.37/0.65 (define @t257 () (tptp.big_p @t256 @t102)) % 0.37/0.65 (define @t258 () (not (forall @t105 (or @t104 @t257)))) % 0.37/0.65 (define @t259 () (@quantifiers_skolemize @t115 1)) % 0.37/0.65 (define @t260 () (not (tptp.rel_s4 @t259 @t100))) % 0.37/0.65 (define @t261 () (forall @t109 (or (not (tptp.exists_in_world @t98 @t259)) (not (forall @t107 (or @t260 @t258 @t101 @t99)))))) % 0.37/0.65 (define @t262 () (not @t261)) % 0.37/0.65 (define @t263 () (tptp.exists_in_world @t256 @t259)) % 0.37/0.65 (define @t264 () (not @t263)) % 0.37/0.65 (define @t265 () (or (not (tptp.rel_s4 (@quantifiers_skolemize @t115 0) @t259)) @t264 @t262)) % 0.37/0.65 (define @t266 () (@list true)) % 0.37/0.65 (define @t267 () (@list @t265)) % 0.37/0.65 (define @t268 () (forall @t107 (or @t260 @t258 @t101 (tptp.big_p @t256 @t97)))) % 0.37/0.65 (define @t269 () (not @t268)) % 0.37/0.65 (define @t270 () (or @t264 @t269)) % 0.37/0.65 (define @t271 () (@quantifiers_skolemize @t268 0)) % 0.37/0.65 (define @t272 () (forall @t105 (or (not (tptp.rel_s4 @t271 @t102)) @t257))) % 0.37/0.65 (define @t273 () (@quantifiers_skolemize @t268 1)) % 0.37/0.65 (define @t274 () (tptp.big_p @t256 @t273)) % 0.37/0.65 (define @t275 () (tptp.rel_s4 @t271 @t273)) % 0.37/0.65 (define @t276 () (not @t275)) % 0.37/0.65 (define @t277 () (not @t272)) % 0.37/0.65 (define @t278 () (or (not (tptp.rel_s4 @t259 @t271)) @t277 @t276 @t274)) % 0.37/0.65 (define @t279 () (@list @t278)) % 0.37/0.65 (define @t280 () (or @t276 @t274)) % 0.37/0.65 (define @t281 () (not @t280)) % 0.37/0.65 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.65 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.37/0.65 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.37/0.65 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.37/0.65 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.37/0.65 (assume @p6 @t17) % 0.37/0.65 (assume @p7 true) % 0.37/0.65 (step @p8 (= tptp.meq_prop @t20) :rule refl :args (@t20)) % 0.37/0.65 (step @p9 (= tptp.mnot @t25) :rule refl :args (@t25)) % 0.37/0.65 (step @p10 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.37/0.65 (step @p11 (= tptp.mbox @t31) :rule refl :args (@t31)) % 0.37/0.65 (step @p12 (= tptp.mforall_prop @t35) :rule refl :args (@t35)) % 0.37/0.65 (step @p13 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.37/0.65 (step @p14 (= tptp.mand @t42) :rule refl :args (@t42)) % 0.37/0.65 (step @p15 (= tptp.mimplies @t43) :rule refl :args (@t43)) % 0.37/0.65 (step @p16 (= tptp.mimplied @t44) :rule refl :args (@t44)) % 0.37/0.65 (step @p17 (= tptp.mequiv @t45) :rule refl :args (@t45)) % 0.37/0.65 (step @p18 (= tptp.mxor @t46) :rule refl :args (@t46)) % 0.37/0.65 (step @p19 (= tptp.mdia @t47) :rule refl :args (@t47)) % 0.37/0.65 (step @p20 (= tptp.mforall_ind @t53) :rule refl :args (@t53)) % 0.37/0.65 (step @p21 (= tptp.mexists_ind @t56) :rule refl :args (@t56)) % 0.37/0.65 (step @p22 (= tptp.mexists_prop @t57) :rule refl :args (@t57)) % 0.37/0.65 (step @p23 (= tptp.mreflexive @t62) :rule refl :args (@t62)) % 0.37/0.65 (step @p24 (= tptp.msymmetric @t66) :rule refl :args (@t66)) % 0.37/0.65 (step @p25 (= tptp.mserial @t68) :rule refl :args (@t68)) % 0.37/0.65 (step @p26 (= tptp.mtransitive @t73) :rule refl :args (@t73)) % 0.37/0.65 (step @p27 (= tptp.meuclidean @t75) :rule refl :args (@t75)) % 0.37/0.65 (step @p28 (= tptp.mpartially_functional @t77) :rule refl :args (@t77)) % 0.37/0.65 (step @p29 (= tptp.mfunctional @t79) :rule refl :args (@t79)) % 0.37/0.65 (step @p30 (= tptp.mweakly_dense @t82) :rule refl :args (@t82)) % 0.37/0.65 (step @p31 (= tptp.mweakly_connected @t83) :rule refl :args (@t83)) % 0.37/0.65 (step @p32 (= tptp.mweakly_directed @t84) :rule refl :args (@t84)) % 0.37/0.65 (step @p33 (= tptp.mvalid @t87) :rule refl :args (@t87)) % 0.37/0.65 (step @p34 (= tptp.msatisfiable @t88) :rule refl :args (@t88)) % 0.37/0.65 (step @p35 (= tptp.mcountersatisfiable @t89) :rule refl :args (@t89)) % 0.37/0.65 (step @p36 (= tptp.minvalid @t90) :rule refl :args (@t90)) % 0.37/0.65 (step @p37 (= tptp.mbox_s4 @t95) :rule refl :args (@t95)) % 0.37/0.65 (step @p38 (= tptp.mdia_s4 @t96) :rule refl :args (@t96)) % 0.37/0.65 (step @p39 :rule quant-merge-prenex :args ((= (forall @t36 @t117) @t115))) % 0.37/0.65 (step @p40 :rule beta-reduce :args ((= @t119 @t117))) % 0.37/0.65 (step @p41 :rule cong :premises (@p40) :args (@t120)) % 0.37/0.65 (step @p42 :rule trans :premises (@p41 @p39)) % 0.37/0.65 (step @p43 :rule beta-reduce :args ((= (_ @t122 @t118) @t120))) % 0.37/0.65 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.65 (step @p45 :rule aci_norm :args ((= @t124 @t114))) % 0.37/0.65 (step @p46 :rule cong :premises (@p45) :args (@t125)) % 0.37/0.65 (step @p47 :rule quant-merge-prenex :args ((= (forall @t6 @t127) @t125))) % 0.37/0.65 (step @p48 :rule alpha_equiv :args (@t128 (@list @t103) @t129)) % 0.37/0.65 (step @p49 :rule refl :args (@t113)) % 0.37/0.65 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t130)) % 0.37/0.65 (step @p51 :rule quant-miniscope-or :args ((= @t127 @t130))) % 0.37/0.65 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.65 (step @p53 :rule symm :premises (@p52)) % 0.37/0.65 (step @p54 :rule cong :premises (@p53) :args ((forall @t6 (or @t113 @t133)))) % 0.37/0.65 (step @p55 :rule trans :premises (@p54 @p47)) % 0.37/0.65 (step @p56 :rule trans :premises (@p55 @p46)) % 0.37/0.65 (step @p57 :rule beta-reduce :args ((= (_ (lambda @t36 (forall @t5 (or @t136 (not (forall @t109 (or @t134 (not (forall @t107 (or (not (tptp.rel_s4 @t7 @t100)) @t132 @t101 @t99))))))))) @t1) @t133))) % 0.37/0.65 (step @p58 :rule refl :args (@t1)) % 0.37/0.65 (step @p59 :rule alpha_equiv :args (@t140 @t141 (@list @t100))) % 0.37/0.65 (step @p60 :rule cong :premises (@p59) :args (@t142)) % 0.37/0.65 (step @p61 :rule refl :args (@t134)) % 0.37/0.65 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t143)) % 0.37/0.65 (step @p63 :rule cong :premises (@p62) :args (@t144)) % 0.37/0.65 (step @p64 :rule cong :premises (@p63) :args (@t145)) % 0.37/0.65 (step @p65 :rule refl :args (@t136)) % 0.37/0.65 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t146)) % 0.37/0.65 (step @p67 :rule cong :premises (@p66) :args (@t147)) % 0.37/0.65 (step @p68 :rule cong :premises (@p67) :args (@t148)) % 0.37/0.65 (step @p69 :rule ho_cong :premises (@p68 @p58)) % 0.37/0.65 (step @p70 :rule trans :premises (@p69 @p57)) % 0.37/0.65 (step @p71 :rule refl :args (@t113)) % 0.37/0.65 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t149)) % 0.37/0.65 (step @p73 :rule cong :premises (@p72) :args (@t150)) % 0.37/0.65 (step @p74 :rule trans :premises (@p73 @p56)) % 0.37/0.65 (step @p75 :rule cong :premises (@p74) :args (@t151)) % 0.37/0.65 (step @p76 :rule beta-reduce :args ((= (_ @t153 @t148) @t151))) % 0.37/0.65 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.65 (step @p78 :rule beta-reduce :args ((= @t159 @t145))) % 0.37/0.65 (step @p79 :rule refl :args (@t136)) % 0.37/0.65 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t160)) % 0.37/0.65 (step @p81 :rule cong :premises (@p80) :args (@t161)) % 0.37/0.65 (step @p82 :rule cong :premises (@p81) :args (@t162)) % 0.37/0.65 (step @p83 :rule beta-reduce :args ((= (_ @t164 @t158) @t162))) % 0.37/0.65 (step @p84 :rule trans :premises (@p83 @p82)) % 0.37/0.65 (step @p85 :rule beta-reduce :args ((= (_ (lambda @t165 @t157) @t9) @t157))) % 0.37/0.65 (step @p86 :rule refl :args (@t9)) % 0.37/0.65 (step @p87 :rule beta-reduce :args ((= @t169 @t155))) % 0.37/0.65 (step @p88 :rule cong :premises (@p87) :args (@t170)) % 0.37/0.65 (step @p89 :rule refl :args (@t156)) % 0.37/0.65 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t171)) % 0.37/0.65 (step @p91 :rule cong :premises (@p90) :args (@t172)) % 0.37/0.65 (step @p92 :rule cong :premises (@p91) :args (@t173)) % 0.37/0.65 (step @p93 :rule cong :premises (@p92) :args (@t174)) % 0.37/0.65 (step @p94 :rule beta-reduce :args ((= (_ (lambda @t55 (not (forall @t109 (or @t156 (not (_ @t48 @t98 @t9)))))) @t168) @t174))) % 0.37/0.65 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.65 (step @p96 :rule refl :args (@t168)) % 0.37/0.65 (step @p97 :rule alpha_equiv :args (@t175 @t129 (@list @t98))) % 0.37/0.65 (step @p98 :rule cong :premises (@p97) :args (@t176)) % 0.37/0.65 (step @p99 :rule cong :premises (@p98) :args (@t177)) % 0.37/0.65 (step @p100 :rule ho_cong :premises (@p99 @p96)) % 0.37/0.65 (step @p101 :rule trans :premises (@p100 @p95)) % 0.37/0.65 (step @p102 :rule beta-reduce :args ((= (_ (lambda @t36 (forall @t139 @t178)) @t9) @t167))) % 0.37/0.65 (step @p103 :rule aci_norm :args ((= @t180 @t178))) % 0.37/0.65 (step @p104 :rule cong :premises (@p103) :args (@t181)) % 0.37/0.65 (step @p105 :rule quant-merge-prenex :args ((= (forall @t6 @t183) @t181))) % 0.37/0.65 (step @p106 :rule alpha_equiv :args (@t184 (@list @t97) @t186)) % 0.37/0.65 (step @p107 :rule refl :args (@t138)) % 0.37/0.65 (step @p108 :rule nary_cong :premises (@p49 @p107 @p106) :args (@t187)) % 0.37/0.65 (step @p109 :rule quant-miniscope-or :args ((= @t183 @t187))) % 0.37/0.65 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.65 (step @p111 :rule symm :premises (@p110)) % 0.37/0.65 (step @p112 :rule cong :premises (@p111) :args ((forall @t6 @t191))) % 0.37/0.65 (step @p113 :rule trans :premises (@p112 @p105)) % 0.37/0.65 (step @p114 :rule trans :premises (@p113 @p104)) % 0.37/0.65 (step @p115 :rule aci_norm :args ((= (or @t113 @t192) @t191))) % 0.37/0.65 (step @p116 :rule beta-reduce :args ((= (_ (lambda @t165 (or (not (forall @t105 (or (not (tptp.rel_s4 @t9 @t102)) @t131))) (forall @t189 (or (not (tptp.rel_s4 @t9 @t185)) @t188)))) @t1) @t192))) % 0.37/0.65 (step @p117 :rule alpha_equiv :args (@t194 @t141 @t186)) % 0.37/0.65 (step @p118 :rule alpha_equiv :args (@t196 @t141 (@list @t102))) % 0.37/0.65 (step @p119 :rule cong :premises (@p118) :args (@t197)) % 0.37/0.65 (step @p120 :rule nary_cong :premises (@p119 @p117) :args (@t198)) % 0.37/0.65 (step @p121 :rule cong :premises (@p120) :args (@t199)) % 0.37/0.65 (step @p122 :rule ho_cong :premises (@p121 @p58)) % 0.37/0.65 (step @p123 :rule trans :premises (@p122 @p116)) % 0.37/0.65 (step @p124 :rule nary_cong :premises (@p71 @p123) :args (@t200)) % 0.37/0.65 (step @p125 :rule trans :premises (@p124 @p115)) % 0.37/0.65 (step @p126 :rule cong :premises (@p125) :args (@t201)) % 0.37/0.65 (step @p127 :rule trans :premises (@p126 @p114)) % 0.37/0.65 (step @p128 :rule cong :premises (@p127) :args (@t202)) % 0.37/0.65 (step @p129 :rule beta-reduce :args ((= (_ @t153 @t199) @t202))) % 0.37/0.65 (step @p130 :rule trans :premises (@p129 @p128)) % 0.37/0.65 (step @p131 :rule beta-reduce :args ((= @t204 @t194))) % 0.37/0.65 (step @p132 :rule refl :args (@t197)) % 0.37/0.65 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t205)) % 0.37/0.65 (step @p134 :rule cong :premises (@p133) :args (@t206)) % 0.37/0.65 (step @p135 :rule beta-reduce :args ((= (_ (lambda @t208 (or @t197 @t207)) @t203) @t206))) % 0.37/0.65 (step @p136 :rule trans :premises (@p135 @p134)) % 0.37/0.65 (step @p137 :rule refl :args (@t193)) % 0.37/0.65 (step @p138 :rule refl :args (@t209)) % 0.37/0.65 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t209 @t193))) % 0.37/0.65 (step @p140 :rule symm :premises (@p139)) % 0.37/0.65 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.37/0.65 (step @p142 :rule nary_cong :premises (@p49 @p141) :args (@t210)) % 0.37/0.65 (step @p143 :rule cong :premises (@p142) :args ((forall @t6 @t210))) % 0.37/0.65 (step @p144 :rule refl :args (@t211)) % 0.37/0.65 (step @p145 :rule nary_cong :premises (@p71 @p144) :args (@t212)) % 0.37/0.65 (step @p146 :rule cong :premises (@p145) :args (@t213)) % 0.37/0.65 (step @p147 :rule trans :premises (@p146 @p143)) % 0.37/0.65 (step @p148 :rule cong :premises (@p147) :args (@t214)) % 0.37/0.65 (step @p149 :rule beta-reduce :args ((= @t215 @t214))) % 0.37/0.65 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.65 (step @p151 :rule refl :args (@t207)) % 0.37/0.65 (step @p152 :rule beta-reduce :args ((= @t217 @t196))) % 0.37/0.65 (step @p153 :rule cong :premises (@p152) :args (@t218)) % 0.37/0.65 (step @p154 :rule nary_cong :premises (@p153 @p151) :args (@t219)) % 0.37/0.65 (step @p155 :rule cong :premises (@p154) :args (@t220)) % 0.37/0.65 (step @p156 :rule beta-reduce :args ((= (_ @t222 @t216) @t220))) % 0.37/0.65 (step @p157 :rule trans :premises (@p156 @p155)) % 0.37/0.65 (step @p158 :rule refl :args (@t195)) % 0.37/0.65 (step @p159 :rule refl :args (@t223)) % 0.37/0.65 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t223 @t195))) % 0.37/0.65 (step @p161 :rule symm :premises (@p160)) % 0.37/0.65 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.37/0.65 (step @p163 :rule nary_cong :premises (@p49 @p162) :args (@t224)) % 0.37/0.65 (step @p164 :rule cong :premises (@p163) :args ((forall @t6 @t224))) % 0.37/0.65 (step @p165 :rule refl :args (@t225)) % 0.37/0.65 (step @p166 :rule nary_cong :premises (@p71 @p165) :args (@t226)) % 0.37/0.65 (step @p167 :rule cong :premises (@p166) :args (@t227)) % 0.37/0.65 (step @p168 :rule trans :premises (@p167 @p164)) % 0.37/0.65 (step @p169 :rule cong :premises (@p168) :args (@t228)) % 0.37/0.65 (step @p170 :rule beta-reduce :args ((= @t229 @t228))) % 0.37/0.65 (step @p171 :rule trans :premises (@p170 @p169)) % 0.37/0.65 (step @p172 :rule refl :args (@t222)) % 0.37/0.65 (step @p173 :rule ho_cong :premises (@p172 @p171)) % 0.37/0.65 (step @p174 :rule trans :premises (@p173 @p157)) % 0.37/0.65 (step @p175 :rule ho_cong :premises (@p174 @p150)) % 0.37/0.65 (step @p176 :rule trans :premises (@p175 @p136)) % 0.37/0.65 (step @p177 :rule refl :args (@t153)) % 0.37/0.65 (step @p178 :rule ho_cong :premises (@p177 @p176)) % 0.37/0.65 (step @p179 :rule trans :premises (@p178 @p130)) % 0.37/0.65 (step @p180 :rule ho_cong :premises (@p179 @p86)) % 0.37/0.65 (step @p181 :rule trans :premises (@p180 @p102)) % 0.37/0.65 (step @p182 :rule cong :premises (@p181) :args (@t230)) % 0.37/0.65 (step @p183 :rule refl :args (@t177)) % 0.37/0.65 (step @p184 :rule ho_cong :premises (@p183 @p182)) % 0.37/0.65 (step @p185 :rule trans :premises (@p184 @p101)) % 0.37/0.65 (step @p186 :rule ho_cong :premises (@p185 @p86)) % 0.37/0.65 (step @p187 :rule trans :premises (@p186 @p85)) % 0.37/0.65 (step @p188 :rule cong :premises (@p187) :args (@t231)) % 0.37/0.65 (step @p189 :rule refl :args (@t164)) % 0.37/0.65 (step @p190 :rule ho_cong :premises (@p189 @p188)) % 0.37/0.65 (step @p191 :rule trans :premises (@p190 @p84)) % 0.37/0.65 (step @p192 :rule ho_cong :premises (@p177 @p191)) % 0.37/0.65 (step @p193 :rule trans :premises (@p192 @p77)) % 0.37/0.65 (step @p194 :rule refl :args (@t122)) % 0.37/0.65 (step @p195 :rule ho_cong :premises (@p194 @p193)) % 0.37/0.65 (step @p196 :rule trans :premises (@p195 @p44)) % 0.37/0.65 (step @p197 :rule cong :premises (@p196) :args ((not (_ @t122 (_ @t153 (_ @t164 @t231)))))) % 0.37/0.65 (step @p198 :rule refl :args (@t11)) % 0.37/0.65 (step @p199 :rule refl :args (@t152)) % 0.37/0.65 (step @p200 :rule refl :args (@t29)) % 0.37/0.65 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t29 @t152))) % 0.37/0.65 (step @p202 :rule symm :premises (@p201)) % 0.37/0.65 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 0.37/0.65 (step @p204 :rule refl :args (@t112)) % 0.37/0.65 (step @p205 :rule refl :args (@t91)) % 0.37/0.65 (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t91 @t112))) % 0.37/0.65 (step @p207 :rule symm :premises (@p206)) % 0.37/0.65 (step @p208 :rule eq_resolve :premises (@p205 @p207)) % 0.37/0.65 (step @p209 :rule cong :premises (@p208) :args (@t92)) % 0.37/0.65 (step @p210 :rule nary_cong :premises (@p209 @p203) :args (@t93)) % 0.37/0.65 (step @p211 :rule cong :premises (@p210) :args (@t94)) % 0.37/0.65 (step @p212 :rule cong :premises (@p211) :args (@t95)) % 0.37/0.65 (step @p213 :rule trans :premises (@p37 @p212)) % 0.37/0.65 (step @p214 :rule ho_cong :premises (@p213 @p198)) % 0.37/0.65 (step @p215 :rule refl :args (@t12)) % 0.37/0.65 (step @p216 :rule ho_cong :premises (@p213 @p215)) % 0.37/0.65 (step @p217 :rule beta-reduce :args ((= (_ @t233 @t9) @t221))) % 0.37/0.65 (step @p218 :rule beta-reduce :args ((= (_ (lambda @t234 @t232) @t26) @t233))) % 0.37/0.65 (step @p219 :rule refl :args (@t26)) % 0.37/0.65 (step @p220 :rule refl :args (@t27)) % 0.37/0.65 (step @p221 :rule beta-reduce :args ((= @t236 @t23))) % 0.37/0.65 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t237)) % 0.37/0.65 (step @p223 :rule cong :premises (@p222) :args (@t238)) % 0.37/0.65 (step @p224 :rule beta-reduce :args ((= (_ @t28 @t235) @t238))) % 0.37/0.65 (step @p225 :rule trans :premises (@p224 @p223)) % 0.37/0.65 (step @p226 :rule beta-reduce :args ((= (_ @t25 @t21) @t235))) % 0.37/0.65 (step @p227 :rule refl :args (@t28)) % 0.37/0.65 (step @p228 :rule ho_cong :premises (@p227 @p226)) % 0.37/0.65 (step @p229 :rule trans :premises (@p228 @p225)) % 0.37/0.65 (step @p230 :rule ho_cong :premises (@p229 @p219)) % 0.37/0.65 (step @p231 :rule trans :premises (@p230 @p218)) % 0.37/0.65 (step @p232 :rule ho_cong :premises (@p231 @p86)) % 0.37/0.65 (step @p233 :rule trans :premises (@p232 @p217)) % 0.37/0.65 (step @p234 :rule refl :args (@t21)) % 0.37/0.65 (step @p235 :rule ho_cong :premises (@p9 @p234)) % 0.37/0.65 (step @p236 :rule ho_cong :premises (@p10 @p235)) % 0.37/0.65 (step @p237 :rule ho_cong :premises (@p236 @p219)) % 0.37/0.65 (step @p238 :rule ho_cong :premises (@p237 @p86)) % 0.37/0.65 (step @p239 :rule trans :premises (@p238 @p233)) % 0.37/0.65 (step @p240 :rule cong :premises (@p239) :args (@t43)) % 0.37/0.65 (step @p241 :rule trans :premises (@p15 @p240)) % 0.37/0.65 (step @p242 :rule ho_cong :premises (@p241 @p216)) % 0.37/0.65 (step @p243 :rule ho_cong :premises (@p242 @p214)) % 0.37/0.65 (step @p244 :rule ho_cong :premises (@p213 @p243)) % 0.37/0.65 (step @p245 :rule ho_cong :premises (@p244 @p86)) % 0.37/0.65 (step @p246 :rule cong :premises (@p245) :args (@t14)) % 0.37/0.65 (step @p247 :rule beta-reduce :args ((= (_ (lambda @t36 (not @t239)) @t9) @t176))) % 0.37/0.65 (step @p248 :rule beta-reduce :args ((= @t241 @t239))) % 0.37/0.65 (step @p249 :rule cong :premises (@p248) :args (@t242)) % 0.37/0.65 (step @p250 :rule cong :premises (@p249) :args (@t243)) % 0.37/0.65 (step @p251 :rule beta-reduce :args ((= (_ @t25 @t240) @t243))) % 0.37/0.65 (step @p252 :rule trans :premises (@p251 @p250)) % 0.37/0.65 (step @p253 :rule refl :args (@t163)) % 0.37/0.65 (step @p254 :rule refl :args (@t50)) % 0.37/0.65 (step @p255 :rule cong :premises (@p254 @p253) :args ((= @t50 @t163))) % 0.37/0.65 (step @p256 :rule symm :premises (@p255)) % 0.37/0.65 (step @p257 :rule eq_resolve :premises (@p254 @p256)) % 0.37/0.65 (step @p258 :rule cong :premises (@p257) :args (@t244)) % 0.37/0.65 (step @p259 :rule nary_cong :premises (@p65 @p258) :args (@t245)) % 0.37/0.65 (step @p260 :rule cong :premises (@p259) :args ((forall @t5 @t245))) % 0.37/0.65 (step @p261 :rule beta-reduce :args ((= @t248 @t244))) % 0.37/0.65 (step @p262 :rule nary_cong :premises (@p79 @p261) :args (@t249)) % 0.37/0.65 (step @p263 :rule cong :premises (@p262) :args (@t250)) % 0.37/0.65 (step @p264 :rule trans :premises (@p263 @p260)) % 0.37/0.65 (step @p265 :rule cong :premises (@p264) :args (@t251)) % 0.37/0.65 (step @p266 :rule beta-reduce :args ((= (_ @t164 @t247) @t251))) % 0.37/0.65 (step @p267 :rule trans :premises (@p266 @p265)) % 0.37/0.65 (step @p268 :rule beta-reduce :args ((= (_ @t252 @t9) @t246))) % 0.37/0.65 (step @p269 :rule beta-reduce :args ((= @t253 @t252))) % 0.37/0.65 (step @p270 :rule ho_cong :premises (@p269 @p86)) % 0.37/0.65 (step @p271 :rule trans :premises (@p270 @p268)) % 0.37/0.65 (step @p272 :rule cong :premises (@p271) :args ((lambda @t15 (_ @t253 @t9)))) % 0.37/0.65 (step @p273 :rule ho_cong :premises (@p189 @p272)) % 0.37/0.65 (step @p274 :rule trans :premises (@p273 @p267)) % 0.37/0.65 (step @p275 :rule refl :args (@t25)) % 0.37/0.65 (step @p276 :rule ho_cong :premises (@p275 @p274)) % 0.37/0.65 (step @p277 :rule trans :premises (@p276 @p252)) % 0.37/0.65 (step @p278 :rule ho_cong :premises (@p277 @p86)) % 0.37/0.65 (step @p279 :rule trans :premises (@p278 @p247)) % 0.37/0.65 (step @p280 :rule refl :args (@t49)) % 0.37/0.65 (step @p281 :rule ho_cong :premises (@p9 @p280)) % 0.37/0.65 (step @p282 :rule ho_cong :premises (@p281 @p86)) % 0.37/0.65 (step @p283 :rule cong :premises (@p282) :args (@t54)) % 0.37/0.65 (step @p284 :rule refl :args (@t135)) % 0.37/0.65 (step @p285 :rule refl :args (@t8)) % 0.37/0.65 (step @p286 :rule cong :premises (@p285 @p284) :args ((= @t8 @t135))) % 0.37/0.65 (step @p287 :rule symm :premises (@p286)) % 0.37/0.65 (step @p288 :rule eq_resolve :premises (@p285 @p287)) % 0.37/0.65 (step @p289 :rule cong :premises (@p288) :args (@t254)) % 0.37/0.65 (step @p290 :rule nary_cong :premises (@p289 @p257) :args (@t255)) % 0.37/0.65 (step @p291 :rule cong :premises (@p290) :args ((forall @t5 @t255))) % 0.37/0.65 (step @p292 :rule bool-impl-elim :args (@t8 @t50)) % 0.37/0.65 (step @p293 :rule cong :premises (@p292) :args (@t51)) % 0.37/0.65 (step @p294 :rule trans :premises (@p293 @p291)) % 0.37/0.65 (step @p295 :rule cong :premises (@p294) :args (@t53)) % 0.37/0.65 (step @p296 :rule trans :premises (@p20 @p295)) % 0.37/0.65 (step @p297 :rule ho_cong :premises (@p296 @p283)) % 0.37/0.65 (step @p298 :rule ho_cong :premises (@p9 @p297)) % 0.37/0.65 (step @p299 :rule ho_cong :premises (@p298 @p86)) % 0.37/0.65 (step @p300 :rule trans :premises (@p299 @p279)) % 0.37/0.65 (step @p301 :rule cong :premises (@p300) :args (@t56)) % 0.37/0.65 (step @p302 :rule trans :premises (@p21 @p301)) % 0.37/0.65 (step @p303 :rule ho_cong :premises (@p302 @p246)) % 0.37/0.65 (step @p304 :rule ho_cong :premises (@p303 @p86)) % 0.37/0.65 (step @p305 :rule cong :premises (@p304) :args (@t16)) % 0.37/0.65 (step @p306 :rule ho_cong :premises (@p296 @p305)) % 0.37/0.65 (step @p307 :rule ho_cong :premises (@p213 @p306)) % 0.37/0.65 (step @p308 :rule refl :args (@t121)) % 0.37/0.65 (step @p309 :rule refl :args (@t22)) % 0.37/0.65 (step @p310 :rule cong :premises (@p309 @p308) :args ((= @t22 @t121))) % 0.37/0.65 (step @p311 :rule symm :premises (@p310)) % 0.37/0.65 (step @p312 :rule eq_resolve :premises (@p309 @p311)) % 0.37/0.65 (step @p313 :rule cong :premises (@p312) :args (@t85)) % 0.37/0.65 (step @p314 :rule cong :premises (@p313) :args (@t87)) % 0.37/0.65 (step @p315 :rule trans :premises (@p33 @p314)) % 0.37/0.65 (step @p316 :rule ho_cong :premises (@p315 @p307)) % 0.37/0.65 (step @p317 :rule cong :premises (@p316) :args (@t17)) % 0.37/0.65 (step @p318 :rule trans :premises (@p317 @p197)) % 0.37/0.65 (step @p319 :rule eq_resolve :premises (@p6 @p318)) % 0.37/0.65 (step @p320 :rule skolemize :premises (@p319)) % 0.37/0.65 (step @p321 :rule bool-double-not-elim :args (@t261)) % 0.37/0.65 (step @p322 :rule refl :args (@t265)) % 0.37/0.65 (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t265 (not @t262)))) % 0.37/0.65 (step @p324 :rule cnf_or_neg :args (@t265 2)) % 0.37/0.65 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 0.37/0.65 (step @p326 :rule reordering :premises (@p325) :args ((or @t261 @t265))) % 0.37/0.65 (step @p327 :rule chain_m_resolution :premises (@p326 @p320) :args (@t261 @t266 @t267)) % 0.37/0.65 (step @p328 :rule instantiate :premises (@p327) :args ((@list @t256))) % 0.37/0.65 (step @p329 :rule bool-double-not-elim :args (@t263)) % 0.37/0.65 (step @p330 :rule nary_cong :premises (@p322 @p329) :args ((or @t265 (not @t264)))) % 0.37/0.65 (step @p331 :rule cnf_or_neg :args (@t265 1)) % 0.37/0.65 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 0.37/0.65 (step @p333 :rule reordering :premises (@p332) :args ((or @t263 @t265))) % 0.37/0.65 (step @p334 :rule chain_m_resolution :premises (@p333 @p320) :args (@t263 @t266 @t267)) % 0.37/0.65 (step @p335 :rule cnf_or_pos :args (@t270)) % 0.37/0.65 (step @p336 :rule reordering :premises (@p335) :args ((or @t264 @t269 (not @t270)))) % 0.37/0.65 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p328) :args (@t269 (@list false false) (@list @t263 @t270))) % 0.37/0.65 (step @p338 :rule skolemize :premises (@p337)) % 0.37/0.65 (step @p339 :rule bool-double-not-elim :args (@t272)) % 0.37/0.65 (step @p340 :rule refl :args (@t278)) % 0.37/0.65 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t278 (not @t277)))) % 0.37/0.65 (step @p342 :rule cnf_or_neg :args (@t278 1)) % 0.37/0.65 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 0.37/0.65 (step @p344 :rule reordering :premises (@p343) :args ((or @t272 @t278))) % 0.37/0.65 (step @p345 :rule chain_m_resolution :premises (@p344 @p338) :args (@t272 @t266 @t279)) % 0.37/0.65 (step @p346 :rule cnf_or_neg :args (@t278 3)) % 0.37/0.65 (step @p347 :rule chain_m_resolution :premises (@p346 @p338) :args ((not @t274) @t266 @t279)) % 0.37/0.65 (step @p348 :rule bool-double-not-elim :args (@t275)) % 0.37/0.65 (step @p349 :rule nary_cong :premises (@p340 @p348) :args ((or @t278 (not @t276)))) % 0.37/0.65 (step @p350 :rule cnf_or_neg :args (@t278 2)) % 0.37/0.65 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 0.37/0.65 (step @p352 :rule reordering :premises (@p351) :args ((or @t275 @t278))) % 0.37/0.65 (step @p353 :rule chain_m_resolution :premises (@p352 @p338) :args (@t275 @t266 @t279)) % 0.37/0.65 (step @p354 :rule cnf_or_pos :args (@t280)) % 0.37/0.65 (step @p355 :rule reordering :premises (@p354) :args ((or @t276 @t274 @t281))) % 0.37/0.65 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p347) :args (@t281 (@list false true) (@list @t275 @t274))) % 0.37/0.65 (assume-push @p363 @t272) % 0.37/0.65 (step @p358 :rule instantiate :premises (@p345) :args ((@list @t273))) % 0.37/0.65 (step-pop @p364 :rule scope :premises (@p358)) % 0.37/0.65 (step @p359 :rule process_scope :premises (@p364) :args (@t280)) % 0.37/0.65 (step @p361 :rule implies_elim :premises (@p359)) % 0.37/0.65 (step @p362 false :rule chain_m_resolution :premises (@p361 @p356 @p345) :args (false (@list true false) (@list @t280 @t272))) % 0.37/0.65 ) % 0.37/0.65 % SZS output end Proof % 0.37/0.65 % cvc5 exiting %------------------------------------------------------------------------------